0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n019.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1440 0.11/0.33 % WCLimit : 180 0.11/0.33 % DateTime : Thu Jul 4 07:45:09 EDT 2024 0.11/0.33 % CPUTime : 0.11/0.35 This is a TFF_ problem 0.11/0.35 Running first-order theorem proving 0.11/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18069)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/15Mi) 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18067)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/2Mi) 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18068)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/37Mi) 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18070)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/32Mi) 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18065)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/34Mi) 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18064)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/59848Mi) 0.22/0.42 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (18066)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/8Mi) 0.22/0.42 % (18067)Instruction limit reached! 0.22/0.42 % (18067)------------------------------ 0.22/0.42 % (18067)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.42 % (18067)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.42 % (18067)Termination reason: Time limit 0.22/0.42 % (18067)Termination phase: Property scanning 0.22/0.42 0.22/0.42 % (18067)Memory used [KB]: 866 0.22/0.42 % (18067)Time elapsed: 0.004 s 0.22/0.42 % (18067)Instructions burned: 3 (million) 0.22/0.43 % (18066)Instruction limit reached! 0.22/0.43 % (18066)------------------------------ 0.22/0.43 % (18066)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (18066)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (18066)Termination reason: Time limit 0.22/0.43 % (18066)Termination phase: Property scanning 0.22/0.43 0.22/0.43 % (18066)Memory used [KB]: 1078 0.22/0.43 % (18066)Time elapsed: 0.007 s 0.22/0.43 % (18066)Instructions burned: 9 (million) 0.22/0.43 % (18069)Instruction limit reached! 0.22/0.43 % (18069)------------------------------ 0.22/0.43 % (18069)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (18069)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (18069)Termination reason: Time limit 0.22/0.43 % (18069)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (18069)Memory used [KB]: 1109 0.22/0.43 % (18069)Time elapsed: 0.011 s 0.22/0.43 % (18069)Instructions burned: 15 (million) 0.22/0.44 % (18065)Instruction limit reached! 0.22/0.44 % (18065)------------------------------ 0.22/0.44 % (18065)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.44 % (18065)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.44 % (18065)Termination reason: Time limit 0.22/0.44 % (18065)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (18065)Memory used [KB]: 1513 0.22/0.44 % (18065)Time elapsed: 0.023 s 0.22/0.44 % (18065)Instructions burned: 34 (million) 0.22/0.44 % (18070)Instruction limit reached! 0.22/0.44 % (18070)------------------------------ 0.22/0.44 % (18070)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.44 % (18070)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.44 % (18070)Termination reason: Time limit 0.22/0.44 % (18070)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (18070)Memory used [KB]: 1470 0.22/0.44 % (18070)Time elapsed: 0.023 s 0.22/0.44 % (18070)Instructions burned: 33 (million) 0.22/0.44 % (18068)Instruction limit reached! 0.22/0.44 % (18068)------------------------------ 0.22/0.44 % (18068)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.44 % (18068)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.44 % (18068)Termination reason: Time limit 0.22/0.44 % (18068)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (18068)Memory used [KB]: 1512 0.22/0.44 % (18068)Time elapsed: 0.027 s 0.22/0.44 % (18068)Instructions burned: 38 (million) 0.22/0.48 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (18071)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/36Mi) 0.22/0.48 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (18072)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/26Mi) 0.22/0.49 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (18073)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.22/0.49 % (18073)Instruction limit reached! 0.22/0.49 % (18073)------------------------------ 0.22/0.49 % (18073)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.49 % (18073)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.49 % (18073)Termination reason: Time limit 0.22/0.49 % (18073)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (18073)Memory used [KB]: 864 0.22/0.49 % (18073)Time elapsed: 0.003 s 0.22/0.49 % (18073)Instructions burned: 3 (million) 0.22/0.49 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (18075)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/4Mi) 0.22/0.49 % (18075)Instruction limit reached! 0.22/0.49 % (18075)------------------------------ 0.22/0.49 % (18075)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.49 % (18075)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.49 % (18075)Termination reason: Time limit 0.22/0.49 % (18075)Termination phase: SInE selection 0.22/0.49 0.22/0.49 % (18075)Memory used [KB]: 867 0.22/0.49 % (18075)Time elapsed: 0.003 s 0.22/0.49 % (18075)Instructions burned: 5 (million) 0.22/0.50 % (18072)Instruction limit reached! 0.22/0.50 % (18072)------------------------------ 0.22/0.50 % (18072)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (18072)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (18072)Termination reason: Time limit 0.22/0.50 % (18072)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (18072)Memory used [KB]: 1390 0.22/0.50 % (18072)Time elapsed: 0.017 s 0.22/0.50 % (18072)Instructions burned: 27 (million) 0.22/0.50 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.50 % (18074)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.22/0.50 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.50 % (18076)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.22/0.50 % (18076)Instruction limit reached! 0.22/0.50 % (18076)------------------------------ 0.22/0.50 % (18076)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (18076)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (18076)Termination reason: Time limit 0.22/0.50 % (18076)Termination phase: Property scanning 0.22/0.50 0.22/0.50 % (18076)Memory used [KB]: 867 0.22/0.50 % (18076)Time elapsed: 0.003 s 0.22/0.50 % (18076)Instructions burned: 4 (million) 0.22/0.50 % (18071)Instruction limit reached! 0.22/0.50 % (18071)------------------------------ 0.22/0.50 % (18071)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (18071)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (18071)Termination reason: Time limit 0.22/0.50 % (18071)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (18071)Memory used [KB]: 1504 0.22/0.50 % (18071)Time elapsed: 0.024 s 0.22/0.50 % (18071)Instructions burned: 38 (million) 0.22/0.52 % (18074)Instruction limit reached! 0.22/0.52 % (18074)------------------------------ 0.22/0.52 % (18074)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.52 % (18074)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.52 % (18074)Termination reason: Time limit 0.22/0.52 % (18074)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (18074)Memory used [KB]: 1453 0.22/0.52 % (18074)Time elapsed: 0.018 s 0.22/0.52 % (18074)Instructions burned: 35 (million) 0.22/0.52 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.52 % (18077)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.22/0.52 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.52 % (18078)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/50Mi) 0.22/0.53 % (18077)Instruction limit reached! 0.22/0.53 % (18077)------------------------------ 0.22/0.53 % (18077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.53 % (18077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.53 % (18077)Termination reason: Time limit 0.22/0.53 % (18077)Termination phase: Saturation 0.22/0.53 0.22/0.53 % (18077)Memory used [KB]: 1308 0.22/0.53 % (18077)Time elapsed: 0.010 s 0.22/0.53 % (18077)Instructions burned: 22 (million) 0.22/0.54 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (18080)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.22/0.54 % (18080)Instruction limit reached! 0.22/0.54 % (18080)------------------------------ 0.22/0.54 % (18080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.54 % (18080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.54 % (18080)Termination reason: Time limit 0.22/0.54 % (18080)Termination phase: Property scanning 0.22/0.54 0.22/0.54 % (18080)Memory used [KB]: 864 0.22/0.54 % (18080)Time elapsed: 0.002 s 0.22/0.54 % (18080)Instructions burned: 2 (million) 0.22/0.54 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (18079)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.22/0.54 % (18079)Instruction limit reached! 0.22/0.54 % (18079)------------------------------ 0.22/0.54 % (18079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.54 % (18079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.54 % (18079)Termination reason: Time limit 0.22/0.54 % (18079)Termination phase: Property scanning 0.22/0.54 0.22/0.54 % (18079)Memory used [KB]: 868 0.22/0.54 % (18079)Time elapsed: 0.002 s 0.22/0.54 % (18079)Instructions burned: 4 (million) 0.22/0.54 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (18081)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/49Mi) 0.22/0.54 % (18078)Instruction limit reached! 0.22/0.54 % (18078)------------------------------ 0.22/0.54 % (18078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.54 % (18078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.54 % (18078)Termination reason: Time limit 0.22/0.54 % (18078)Termination phase: Saturation 0.22/0.54 0.22/0.54 % (18078)Memory used [KB]: 1640 0.22/0.54 % (18078)Time elapsed: 0.020 s 0.22/0.54 % (18078)Instructions burned: 52 (million) 0.22/0.55 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.55 % (18082)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 0.22/0.56 % (18082)Instruction limit reached! 0.22/0.56 % (18082)------------------------------ 0.22/0.56 % (18082)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.56 % (18082)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.56 % (18082)Termination reason: Time limit 0.22/0.56 % (18082)Termination phase: Saturation 0.22/0.56 0.22/0.56 % (18082)Memory used [KB]: 1141 0.22/0.56 % (18082)Time elapsed: 0.007 s 0.22/0.56 % (18082)Instructions burned: 15 (million) 0.22/0.56 % (18081)Instruction limit reached! 0.22/0.56 % (18081)------------------------------ 0.22/0.56 % (18081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.56 % (18081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.56 % (18081)Termination reason: Time limit 0.22/0.56 % (18081)Termination phase: Saturation 0.22/0.56 0.22/0.56 % (18081)Memory used [KB]: 1527 0.22/0.56 % (18081)Time elapsed: 0.043 s 0.22/0.56 % (18081)Instructions burned: 51 (million) 0.22/0.57 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.57 % (18083)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.22/0.57 % (18083)Instruction limit reached! 0.22/0.57 % (18083)------------------------------ 0.22/0.57 % (18083)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.57 % (18083)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.57 % (18083)Termination reason: Time limit 0.22/0.57 % (18083)Termination phase: Property scanning 0.22/0.57 0.22/0.57 % (18083)Memory used [KB]: 864 0.22/0.57 % (18083)Time elapsed: 0.002 s 0.22/0.57 % (18083)Instructions burned: 3 (million) 0.22/0.57 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.57 % (18084)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 0.22/0.57 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.57 % (18085)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.22/0.57 % (18084)Instruction limit reached! 0.22/0.57 % (18084)------------------------------ 0.22/0.57 % (18084)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.57 % (18084)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.57 % (18084)Termination reason: Time limit 0.22/0.57 % (18084)Termination phase: Saturation 0.22/0.57 0.22/0.57 % (18084)Memory used [KB]: 1128 0.22/0.57 % (18084)Time elapsed: 0.006 s 0.22/0.57 % (18084)Instructions burned: 15 (million) 0.22/0.58 % (18063)Running in auto input_syntax mode. Trying TPTP 0.22/0.58 % (18086)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/46Mi) 0.22/0.58 % (18085)Instruction limit reached! 0.22/0.58 % (18085)------------------------------ 0.22/0.58 % (18085)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.58 % (18085)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.58 % (18085)Termination reason: Time limit 0.22/0.58 % (18085)Termination phase: Saturation 0.22/0.58 0.22/0.58 % (18085)Memory used [KB]: 1277 0.22/0.58 % (18085)Time elapsed: 0.009 s 0.22/0.58 % (18085)Instructions burned: 21 (million) 1.69/0.59 % (18063)Running in auto input_syntax mode. Trying TPTP 1.69/0.59 % (18088)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/47Mi) 1.69/0.59 % (18086)Instruction limit reached! 1.69/0.59 % (18086)------------------------------ 1.69/0.59 % (18086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.69/0.59 % (18086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.69/0.59 % (18086)Termination reason: Time limit 1.69/0.59 % (18086)Termination phase: Saturation 1.69/0.59 1.69/0.59 % (18086)Memory used [KB]: 1555 1.69/0.59 % (18086)Time elapsed: 0.019 s 1.69/0.59 % (18086)Instructions burned: 48 (million) 1.69/0.60 % (18063)Running in auto input_syntax mode. Trying TPTP 1.69/0.60 % (18089)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/42Mi) 1.81/0.60 % (18063)Running in auto input_syntax mode. Trying TPTP 1.81/0.60 % (18087)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/50Mi) 1.81/0.61 % (18063)Running in auto input_syntax mode. Trying TPTP 1.81/0.61 % (18090)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/43Mi) 1.81/0.61 % (18088)Instruction limit reached! 1.81/0.61 % (18088)------------------------------ 1.81/0.61 % (18088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.81/0.61 % (18088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.81/0.61 % (18088)Termination reason: Time limit 1.81/0.61 % (18088)Termination phase: Saturation 1.81/0.61 1.81/0.61 % (18088)Memory used [KB]: 1527 1.81/0.61 % (18088)Time elapsed: 0.019 s 1.81/0.61 % (18088)Instructions burned: 48 (million) 1.81/0.61 % (18063)Running in auto input_syntax mode. Trying TPTP 1.81/0.61 % (18091)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/21Mi) 1.81/0.62 % (18089)Instruction limit reached! 1.81/0.62 % (18089)------------------------------ 1.81/0.62 % (18089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.81/0.62 % (18089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.81/0.62 % (18089)Termination reason: Time limit 1.81/0.62 % (18089)Termination phase: Saturation 1.81/0.62 1.81/0.62 % (18089)Memory used [KB]: 1738 1.81/0.62 % (18089)Time elapsed: 0.017 s 1.81/0.62 % (18089)Instructions burned: 43 (million) 1.81/0.62 % (18087)Instruction limit reached! 1.81/0.62 % (18087)------------------------------ 1.81/0.62 % (18087)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.81/0.62 % (18087)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.81/0.62 % (18087)Termination reason: Time limit 1.81/0.62 % (18087)Termination phase: Saturation 1.81/0.62 1.81/0.62 % (18087)Memory used [KB]: 1604 1.81/0.62 % (18087)Time elapsed: 0.019 s 1.81/0.62 % (18087)Instructions burned: 50 (million) 1.81/0.62 % (18091)Instruction limit reached! 1.81/0.62 % (18091)------------------------------ 1.81/0.62 % (18091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.81/0.62 % (18091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.81/0.62 % (18091)Termination reason: Time limit 1.81/0.62 % (18091)Termination phase: Saturation 1.81/0.62 1.81/0.62 % (18091)Memory used [KB]: 1225 1.81/0.62 % (18091)Time elapsed: 0.009 s 1.81/0.62 % (18091)Instructions burned: 21 (million) 1.91/0.62 % (18090)Instruction limit reached! 1.91/0.62 % (18090)------------------------------ 1.91/0.62 % (18090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.62 % (18090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.62 % (18090)Termination reason: Time limit 1.91/0.62 % (18090)Termination phase: Saturation 1.91/0.62 1.91/0.62 % (18090)Memory used [KB]: 1801 1.91/0.62 % (18090)Time elapsed: 0.015 s 1.91/0.62 % (18090)Instructions burned: 44 (million) 1.91/0.63 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.63 % (18092)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/21Mi) 1.91/0.64 % (18092)Instruction limit reached! 1.91/0.64 % (18092)------------------------------ 1.91/0.64 % (18092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.64 % (18092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.64 % (18092)Termination reason: Time limit 1.91/0.64 % (18092)Termination phase: Saturation 1.91/0.64 1.91/0.64 % (18092)Memory used [KB]: 1254 1.91/0.64 % (18092)Time elapsed: 0.009 s 1.91/0.64 % (18092)Instructions burned: 21 (million) 1.91/0.64 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.64 % (18093)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/41Mi) 1.91/0.65 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.65 % (18094)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/15Mi) 1.91/0.65 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.65 % (18095)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/47Mi) 1.91/0.65 % (18094)Instruction limit reached! 1.91/0.65 % (18094)------------------------------ 1.91/0.65 % (18094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.65 % (18094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.65 % (18094)Termination reason: Time limit 1.91/0.65 % (18094)Termination phase: Saturation 1.91/0.65 1.91/0.65 % (18094)Memory used [KB]: 1144 1.91/0.65 % (18094)Time elapsed: 0.007 s 1.91/0.65 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.65 % (18096)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/25Mi) 1.91/0.65 % (18094)Instructions burned: 16 (million) 1.91/0.66 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.66 % (18097)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/148Mi) 1.91/0.66 % (18093)Instruction limit reached! 1.91/0.66 % (18093)------------------------------ 1.91/0.66 % (18093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.66 % (18093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.66 % (18093)Termination reason: Time limit 1.91/0.66 % (18093)Termination phase: Saturation 1.91/0.66 1.91/0.66 % (18093)Memory used [KB]: 1627 1.91/0.66 % (18093)Time elapsed: 0.017 s 1.91/0.66 % (18093)Instructions burned: 43 (million) 1.91/0.66 % (18096)Instruction limit reached! 1.91/0.66 % (18096)------------------------------ 1.91/0.66 % (18096)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.66 % (18096)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.66 % (18096)Termination reason: Time limit 1.91/0.66 % (18096)Termination phase: Saturation 1.91/0.66 1.91/0.66 % (18096)Memory used [KB]: 1373 1.91/0.66 % (18096)Time elapsed: 0.011 s 1.91/0.66 % (18096)Instructions burned: 27 (million) 1.91/0.67 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.67 % (18098)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/100Mi) 1.91/0.67 % (18095)Instruction limit reached! 1.91/0.67 % (18095)------------------------------ 1.91/0.67 % (18095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.67 % (18095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.67 % (18095)Termination reason: Time limit 1.91/0.67 % (18095)Termination phase: Saturation 1.91/0.67 1.91/0.67 % (18095)Memory used [KB]: 1785 1.91/0.67 % (18095)Time elapsed: 0.020 s 1.91/0.67 % (18095)Instructions burned: 47 (million) 1.91/0.69 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.69 % (18099)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/76Mi) 1.91/0.69 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.69 % (18100)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/58Mi) 1.91/0.70 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.70 % (18101)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/96Mi) 1.91/0.71 % (18063)Running in auto input_syntax mode. Trying TPTP 1.91/0.71 % (18102)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/108Mi) 1.91/0.71 % (18098)Instruction limit reached! 1.91/0.71 % (18098)------------------------------ 1.91/0.71 % (18098)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.71 % (18098)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.71 % (18098)Termination reason: Time limit 1.91/0.71 % (18098)Termination phase: Saturation 1.91/0.71 1.91/0.71 % (18098)Memory used [KB]: 2254 1.91/0.71 % (18098)Time elapsed: 0.040 s 1.91/0.71 % (18098)Instructions burned: 101 (million) 1.91/0.71 % (18097)Instruction limit reached! 1.91/0.71 % (18097)------------------------------ 1.91/0.71 % (18097)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.71 % (18097)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.71 % (18097)Termination reason: Time limit 1.91/0.71 % (18097)Termination phase: Saturation 1.91/0.71 1.91/0.71 % (18097)Memory used [KB]: 2330 1.91/0.71 % (18097)Time elapsed: 0.055 s 1.91/0.71 % (18097)Instructions burned: 149 (million) 1.91/0.71 % (18100)Instruction limit reached! 1.91/0.71 % (18100)------------------------------ 1.91/0.71 % (18100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.71 % (18100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.71 % (18100)Termination reason: Time limit 1.91/0.71 % (18100)Termination phase: Saturation 1.91/0.71 1.91/0.71 % (18100)Memory used [KB]: 1651 1.91/0.71 % (18100)Time elapsed: 0.022 s 1.91/0.71 % (18100)Instructions burned: 58 (million) 1.91/0.72 % (18099)Instruction limit reached! 1.91/0.72 % (18099)------------------------------ 1.91/0.72 % (18099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.91/0.72 % (18099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.91/0.72 % (18099)Termination reason: Time limit 1.91/0.72 % (18099)Termination phase: Saturation 1.91/0.72 1.91/0.72 % (18099)Memory used [KB]: 1975 1.91/0.72 % (18099)Time elapsed: 0.029 s 1.91/0.72 % (18099)Instructions burned: 79 (million) 2.49/0.73 % (18101)Instruction limit reached! 2.49/0.73 % (18101)------------------------------ 2.49/0.73 % (18101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.49/0.73 % (18101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.49/0.73 % (18101)Termination reason: Time limit 2.49/0.73 % (18101)Termination phase: Saturation 2.49/0.73 2.49/0.73 % (18101)Memory used [KB]: 1374 2.49/0.73 % (18101)Time elapsed: 0.037 s 2.49/0.73 % (18101)Instructions burned: 96 (million) 2.49/0.74 % (18102)Instruction limit reached! 2.49/0.74 % (18102)------------------------------ 2.49/0.74 % (18102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.49/0.74 % (18102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.49/0.74 % (18102)Termination reason: Time limit 2.49/0.74 % (18102)Termination phase: Saturation 2.49/0.74 2.49/0.74 % (18102)Memory used [KB]: 1212 2.49/0.74 % (18102)Time elapsed: 0.038 s 2.49/0.74 % (18102)Instructions burned: 109 (million) 2.49/0.74 % (18063)Running in auto input_syntax mode. Trying TPTP 2.49/0.74 % (18103)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/463Mi) 2.49/0.75 % (18063)Running in auto input_syntax mode. Trying TPTP 2.49/0.75 % (18104)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/494Mi) 2.49/0.75 % (18063)Running in auto input_syntax mode. Trying TPTP 2.49/0.75 % (18105)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/223Mi) 2.49/0.75 % (18063)Running in auto input_syntax mode. Trying TPTP 2.49/0.75 % (18106)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/343Mi) 2.49/0.77 % (18063)Running in auto input_syntax mode. Trying TPTP 2.49/0.77 % (18107)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/488Mi) 2.49/0.78 % (18063)Running in auto input_syntax mode. Trying TPTP 2.49/0.78 % (18108)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/150Mi) 2.77/0.82 % (18105)Instruction limit reached! 2.77/0.82 % (18105)------------------------------ 2.77/0.82 % (18105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.77/0.82 % (18105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.77/0.82 % (18105)Termination reason: Time limit 2.77/0.82 % (18105)Termination phase: Saturation 2.77/0.82 2.77/0.82 % (18105)Memory used [KB]: 1617 2.77/0.82 % (18105)Time elapsed: 0.076 s 2.77/0.82 % (18105)Instructions burned: 225 (million) 2.77/0.83 % (18108)Instruction limit reached! 2.77/0.83 % (18108)------------------------------ 2.77/0.83 % (18108)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.77/0.83 % (18108)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.77/0.83 % (18108)Termination reason: Time limit 2.77/0.83 % (18108)Termination phase: Saturation 2.77/0.83 2.77/0.83 % (18108)Memory used [KB]: 1155 2.77/0.83 % (18108)Time elapsed: 0.049 s 2.77/0.83 % (18108)Instructions burned: 150 (million) 2.77/0.86 % (18106)Instruction limit reached! 2.77/0.86 % (18106)------------------------------ 2.77/0.86 % (18106)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.77/0.86 % (18106)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.77/0.86 % (18106)Termination reason: Time limit 2.77/0.86 % (18106)Termination phase: Saturation 2.77/0.86 2.77/0.86 % (18106)Memory used [KB]: 2838 2.77/0.86 % (18106)Time elapsed: 0.107 s 2.77/0.86 % (18106)Instructions burned: 344 (million) 2.77/0.86 % (18063)Running in auto input_syntax mode. Trying TPTP 2.77/0.86 % (18109)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/160Mi) 2.77/0.86 % (18063)Running in auto input_syntax mode. Trying TPTP 2.77/0.86 % (18110)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/370Mi) 3.20/0.89 % (18104)Instruction limit reached! 3.20/0.89 % (18104)------------------------------ 3.20/0.89 % (18104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.20/0.89 % (18104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.20/0.89 % (18104)Termination reason: Time limit 3.20/0.89 % (18104)Termination phase: Saturation 3.20/0.89 3.20/0.89 % (18104)Memory used [KB]: 3813 3.20/0.89 % (18104)Time elapsed: 0.146 s 3.20/0.89 % (18104)Instructions burned: 497 (million) 3.20/0.89 % (18063)Running in auto input_syntax mode. Trying TPTP 3.20/0.89 % (18111)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/493Mi) 3.20/0.90 % (18103)Instruction limit reached! 3.20/0.90 % (18103)------------------------------ 3.20/0.90 % (18103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.20/0.90 % (18103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.20/0.90 % (18103)Termination reason: Time limit 3.20/0.90 % (18103)Termination phase: Saturation 3.20/0.90 3.20/0.90 % (18103)Memory used [KB]: 4186 3.20/0.90 % (18103)Time elapsed: 0.157 s 3.20/0.90 % (18103)Instructions burned: 465 (million) 3.39/0.91 % (18109)Instruction limit reached! 3.39/0.91 % (18109)------------------------------ 3.39/0.91 % (18109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.39/0.91 % (18109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.39/0.91 % (18109)Termination reason: Time limit 3.39/0.91 % (18109)Termination phase: Saturation 3.39/0.91 3.39/0.91 % (18109)Memory used [KB]: 1396 3.39/0.91 % (18109)Time elapsed: 0.052 s 3.39/0.91 % (18109)Instructions burned: 163 (million) 3.39/0.92 % (18107)Instruction limit reached! 3.39/0.92 % (18107)------------------------------ 3.39/0.92 % (18107)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.39/0.92 % (18107)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.39/0.92 % (18107)Termination reason: Time limit 3.39/0.92 % (18107)Termination phase: Saturation 3.39/0.92 3.39/0.92 % (18107)Memory used [KB]: 3061 3.39/0.92 % (18107)Time elapsed: 0.147 s 3.39/0.92 % (18107)Instructions burned: 489 (million) 3.88/0.92 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/0.92 % (18112)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/81Mi) 3.88/0.93 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/0.93 % (18113)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/146Mi) 3.88/0.94 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/0.94 % (18114)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/211Mi) 3.88/0.95 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/0.95 % (18115)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/274Mi) 3.88/0.95 % (18112)Instruction limit reached! 3.88/0.95 % (18112)------------------------------ 3.88/0.95 % (18112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.88/0.95 % (18112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.88/0.95 % (18112)Termination reason: Time limit 3.88/0.95 % (18112)Termination phase: Saturation 3.88/0.95 3.88/0.95 % (18112)Memory used [KB]: 1719 3.88/0.95 % (18112)Time elapsed: 0.028 s 3.88/0.95 % (18112)Instructions burned: 83 (million) 3.88/0.98 % (18113)Instruction limit reached! 3.88/0.98 % (18113)------------------------------ 3.88/0.98 % (18113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.88/0.98 % (18113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.88/0.98 % (18113)Termination reason: Time limit 3.88/0.98 % (18113)Termination phase: Saturation 3.88/0.98 3.88/0.98 % (18113)Memory used [KB]: 1337 3.88/0.98 % (18113)Time elapsed: 0.045 s 3.88/0.98 % (18113)Instructions burned: 148 (million) 3.88/0.98 % (18110)Instruction limit reached! 3.88/0.98 % (18110)------------------------------ 3.88/0.98 % (18110)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.88/0.98 % (18110)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.88/0.98 % (18110)Termination reason: Time limit 3.88/0.98 % (18110)Termination phase: Saturation 3.88/0.98 3.88/0.98 % (18110)Memory used [KB]: 2356 3.88/0.98 % (18110)Time elapsed: 0.121 s 3.88/0.98 % (18110)Instructions burned: 372 (million) 3.88/0.98 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/0.98 % (18116)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/330Mi) 3.88/1.01 % (18114)Instruction limit reached! 3.88/1.01 % (18114)------------------------------ 3.88/1.01 % (18114)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.88/1.01 % (18114)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.88/1.01 % (18114)Termination reason: Time limit 3.88/1.01 % (18114)Termination phase: Saturation 3.88/1.01 3.88/1.01 % (18114)Memory used [KB]: 2941 3.88/1.01 % (18114)Time elapsed: 0.066 s 3.88/1.01 % (18114)Instructions burned: 213 (million) 3.88/1.01 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/1.01 % (18117)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/294Mi) 3.88/1.01 % (18063)Running in auto input_syntax mode. Trying TPTP 3.88/1.01 % (18118)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/213Mi) 4.37/1.04 % (18115)Instruction limit reached! 4.37/1.04 % (18115)------------------------------ 4.37/1.04 % (18115)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.37/1.04 % (18115)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.37/1.04 % (18115)Termination reason: Time limit 4.37/1.04 % (18115)Termination phase: Saturation 4.37/1.04 4.37/1.04 % (18115)Memory used [KB]: 2619 4.37/1.04 % (18115)Time elapsed: 0.089 s 4.37/1.04 % (18115)Instructions burned: 276 (million) 4.37/1.04 % (18111)Instruction limit reached! 4.37/1.04 % (18111)------------------------------ 4.37/1.04 % (18111)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.37/1.04 % (18111)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.37/1.04 % (18111)Termination reason: Time limit 4.37/1.04 % (18111)Termination phase: Saturation 4.37/1.04 4.37/1.04 % (18111)Memory used [KB]: 3011 4.37/1.04 % (18111)Time elapsed: 0.150 s 4.37/1.04 % (18111)Instructions burned: 493 (million) 4.37/1.04 % (18063)Running in auto input_syntax mode. Trying TPTP 4.37/1.04 % (18119)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/374Mi) 4.37/1.07 % (18063)Running in auto input_syntax mode. Trying TPTP 4.37/1.07 % Exception at run slice level 4.37/1.07 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 4.37/1.07 % (18063)Running in auto input_syntax mode. Trying TPTP 4.37/1.07 % (18121)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/488Mi) 4.77/1.09 % (18116)Instruction limit reached! 4.77/1.09 % (18116)------------------------------ 4.77/1.09 % (18116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.77/1.09 % (18116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.77/1.09 % (18116)Termination reason: Time limit 4.77/1.09 % (18116)Termination phase: Saturation 4.77/1.09 4.77/1.09 % (18116)Memory used [KB]: 2641 4.77/1.09 % (18116)Time elapsed: 0.110 s 4.77/1.09 % (18116)Instructions burned: 331 (million) 4.77/1.09 % (18118)Instruction limit reached! 4.77/1.09 % (18118)------------------------------ 4.77/1.09 % (18118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.77/1.09 % (18118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.77/1.09 % (18118)Termination reason: Time limit 4.77/1.09 % (18118)Termination phase: Saturation 4.77/1.09 4.77/1.09 % (18118)Memory used [KB]: 3940 4.77/1.09 % (18118)Time elapsed: 0.079 s 4.77/1.09 % (18118)Instructions burned: 214 (million) 4.77/1.10 % (18063)Running in auto input_syntax mode. Trying TPTP 4.77/1.10 % (18122)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/230Mi) 4.77/1.10 % (18117)Instruction limit reached! 4.77/1.10 % (18117)------------------------------ 4.77/1.10 % (18117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.77/1.10 % (18117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.77/1.10 % (18117)Termination reason: Time limit 4.77/1.10 % (18117)Termination phase: Saturation 4.77/1.10 4.77/1.10 % (18117)Memory used [KB]: 2062 4.77/1.10 % (18117)Time elapsed: 0.095 s 4.77/1.10 % (18117)Instructions burned: 296 (million) 4.77/1.12 % (18063)Running in auto input_syntax mode. Trying TPTP 4.77/1.12 % (18123)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/360Mi) 4.77/1.12 % (18063)Running in auto input_syntax mode. Trying TPTP 4.77/1.12 % (18124)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/382Mi) 4.77/1.14 % (18063)Running in auto input_syntax mode. Trying TPTP 4.77/1.14 % (18125)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/256Mi) 4.77/1.15 % (18119)Instruction limit reached! 4.77/1.15 % (18119)------------------------------ 4.77/1.15 % (18119)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.77/1.15 % (18119)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.77/1.15 % (18119)Termination reason: Time limit 4.77/1.15 % (18119)Termination phase: Saturation 4.77/1.15 4.77/1.15 % (18119)Memory used [KB]: 2867 4.77/1.15 % (18119)Time elapsed: 0.115 s 4.77/1.15 % (18119)Instructions burned: 375 (million) 4.77/1.18 % (18122)Instruction limit reached! 4.77/1.18 % (18122)------------------------------ 4.77/1.18 % (18122)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.77/1.18 % (18122)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.77/1.18 % (18122)Termination reason: Time limit 4.77/1.18 % (18122)Termination phase: Saturation 4.77/1.18 4.77/1.18 % (18122)Memory used [KB]: 2007 4.77/1.18 % (18122)Time elapsed: 0.099 s 4.77/1.18 % (18122)Instructions burned: 231 (million) 5.88/1.19 % (18063)Running in auto input_syntax mode. Trying TPTP 5.88/1.19 % (18126)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/1006Mi) 5.88/1.21 % (18121)Instruction limit reached! 5.88/1.21 % (18121)------------------------------ 5.88/1.21 % (18121)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.88/1.21 % (18121)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.88/1.21 % (18121)Termination reason: Time limit 5.88/1.21 % (18121)Termination phase: Saturation 5.88/1.21 5.88/1.21 % (18121)Memory used [KB]: 3073 5.88/1.21 % (18121)Time elapsed: 0.138 s 5.88/1.21 % (18121)Instructions burned: 491 (million) 6.03/1.21 % (18063)Running in auto input_syntax mode. Trying TPTP 6.03/1.21 % (18127)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/3721Mi) 6.11/1.22 % (18125)Instruction limit reached! 6.11/1.22 % (18125)------------------------------ 6.11/1.22 % (18125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.11/1.22 % (18125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.11/1.22 % (18125)Termination reason: Time limit 6.11/1.22 % (18125)Termination phase: Saturation 6.11/1.22 6.11/1.22 % (18125)Memory used [KB]: 2790 6.11/1.22 % (18125)Time elapsed: 0.111 s 6.11/1.22 % (18125)Instructions burned: 257 (million) 6.11/1.24 % (18063)Running in auto input_syntax mode. Trying TPTP 6.11/1.24 % (18128)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/501Mi) 6.11/1.24 % (18123)Instruction limit reached! 6.11/1.24 % (18123)------------------------------ 6.11/1.24 % (18123)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.11/1.24 % (18123)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.11/1.24 % (18123)Termination reason: Time limit 6.11/1.24 % (18123)Termination phase: Saturation 6.11/1.24 6.11/1.24 % (18123)Memory used [KB]: 2155 6.11/1.24 % (18123)Time elapsed: 0.143 s 6.11/1.24 % (18123)Instructions burned: 360 (million) 6.11/1.25 % (18124)Instruction limit reached! 6.11/1.25 % (18124)------------------------------ 6.11/1.25 % (18124)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.11/1.25 % (18124)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.11/1.25 % (18124)Termination reason: Time limit 6.11/1.25 % (18124)Termination phase: Saturation 6.11/1.25 6.11/1.25 % (18124)Memory used [KB]: 2631 6.11/1.25 % (18124)Time elapsed: 0.147 s 6.11/1.25 % (18124)Instructions burned: 384 (million) 6.11/1.25 % (18063)Running in auto input_syntax mode. Trying TPTP 6.11/1.25 % (18129)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/1705Mi) 6.11/1.28 % (18063)Running in auto input_syntax mode. Trying TPTP 6.11/1.28 % (18130)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/2416Mi) 6.11/1.28 % (18063)Running in auto input_syntax mode. Trying TPTP 6.11/1.28 % (18131)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/1683Mi) 6.50/1.41 % (18128)Instruction limit reached! 6.50/1.41 % (18128)------------------------------ 6.50/1.41 % (18128)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.50/1.41 % (18128)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.50/1.41 % (18128)Termination reason: Time limit 6.50/1.41 % (18128)Termination phase: Saturation 6.50/1.41 6.50/1.41 % (18128)Memory used [KB]: 4218 6.50/1.41 % (18128)Time elapsed: 0.195 s 6.50/1.41 % (18128)Instructions burned: 502 (million) 6.50/1.44 % (18063)Running in auto input_syntax mode. Trying TPTP 6.50/1.44 % (18132)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (1789ds/330Mi) 6.96/1.52 % (18126)Instruction limit reached! 6.96/1.52 % (18126)------------------------------ 6.96/1.52 % (18126)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.96/1.52 % (18126)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.96/1.52 % (18126)Termination reason: Time limit 6.96/1.52 % (18126)Termination phase: Saturation 6.96/1.52 6.96/1.52 % (18126)Memory used [KB]: 7202 6.96/1.52 % (18126)Time elapsed: 0.358 s 6.96/1.52 % (18126)Instructions burned: 1008 (million) 6.98/1.55 % (18132)Instruction limit reached! 6.98/1.55 % (18132)------------------------------ 6.98/1.55 % (18132)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.98/1.55 % (18132)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.98/1.55 % (18132)Termination reason: Time limit 6.98/1.55 % (18132)Termination phase: Saturation 6.98/1.55 6.98/1.55 % (18132)Memory used [KB]: 3713 6.98/1.55 % (18132)Time elapsed: 0.110 s 6.98/1.55 % (18132)Instructions burned: 331 (million) 6.98/1.55 % (18063)Running in auto input_syntax mode. Trying TPTP 6.98/1.55 % (18133)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (1788ds/113Mi) 6.98/1.58 % (18063)Running in auto input_syntax mode. Trying TPTP 6.98/1.58 % (18134)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (1788ds/3217Mi) 6.98/1.59 % (18133)Instruction limit reached! 6.98/1.59 % (18133)------------------------------ 6.98/1.59 % (18133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.98/1.59 % (18133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.98/1.59 % (18133)Termination reason: Time limit 6.98/1.59 % (18133)Termination phase: Saturation 6.98/1.59 6.98/1.59 % (18133)Memory used [KB]: 1299 6.98/1.59 % (18133)Time elapsed: 0.036 s 6.98/1.59 % (18133)Instructions burned: 114 (million) 7.29/1.62 % (18063)Running in auto input_syntax mode. Trying TPTP 7.29/1.62 % (18135)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (1787ds/3528Mi) 7.29/1.66 % (18129)Instruction limit reached! 7.29/1.66 % (18129)------------------------------ 7.29/1.66 % (18129)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.29/1.66 % (18129)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.29/1.66 % (18129)Termination reason: Time limit 7.29/1.66 % (18129)Termination phase: Saturation 7.29/1.66 7.29/1.66 % (18129)Memory used [KB]: 6309 7.29/1.66 % (18129)Time elapsed: 0.408 s 7.29/1.66 % (18129)Instructions burned: 1709 (million) 9.40/1.69 % (18063)Running in auto input_syntax mode. Trying TPTP 9.40/1.69 % (18136)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (1786ds/2304Mi) 9.40/1.75 % (18131)Instruction limit reached! 9.40/1.75 % (18131)------------------------------ 9.40/1.75 % (18131)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 9.40/1.75 % (18131)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 9.40/1.75 % (18131)Termination reason: Time limit 9.40/1.75 % (18131)Termination phase: Saturation 9.40/1.75 9.40/1.75 % (18131)Memory used [KB]: 8208 9.40/1.75 % (18131)Time elapsed: 0.471 s 9.40/1.75 % (18131)Instructions burned: 1686 (million) 10.01/1.79 % (18063)Running in auto input_syntax mode. Trying TPTP 10.01/1.79 % (18137)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (1786ds/3780Mi) 11.22/2.04 % (18130)Instruction limit reached! 11.22/2.04 % (18130)------------------------------ 11.22/2.04 % (18130)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 11.22/2.04 % (18130)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 11.22/2.04 % (18130)Termination reason: Time limit 11.22/2.04 % (18130)Termination phase: Saturation 11.22/2.04 11.22/2.04 % (18130)Memory used [KB]: 8844 11.22/2.04 % (18130)Time elapsed: 0.767 s 11.22/2.04 % (18130)Instructions burned: 2418 (million) 11.22/2.07 % (18063)Running in auto input_syntax mode. Trying TPTP 11.22/2.07 % (18138)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (1783ds/238Mi) 11.94/2.15 % (18138)Instruction limit reached! 11.94/2.15 % (18138)------------------------------ 11.94/2.15 % (18138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 11.94/2.15 % (18138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 11.94/2.15 % (18138)Termination reason: Time limit 11.94/2.15 % (18138)Termination phase: Saturation 11.94/2.15 11.94/2.15 % (18138)Memory used [KB]: 1645 11.94/2.15 % (18138)Time elapsed: 0.074 s 11.94/2.15 % (18138)Instructions burned: 239 (million) 11.94/2.18 % (18063)Running in auto input_syntax mode. Trying TPTP 11.94/2.18 % (18139)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (1782ds/656Mi) 13.59/2.38 % (18139)Instruction limit reached! 13.59/2.38 % (18139)------------------------------ 13.59/2.38 % (18139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.59/2.38 % (18139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.59/2.38 % (18139)Termination reason: Time limit 13.59/2.38 % (18139)Termination phase: Saturation 13.59/2.38 13.59/2.38 % (18139)Memory used [KB]: 3968 13.59/2.38 % (18139)Time elapsed: 0.200 s 13.59/2.38 % (18139)Instructions burned: 659 (million) 14.30/2.40 % (18136)Instruction limit reached! 14.30/2.40 % (18136)------------------------------ 14.30/2.40 % (18136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.30/2.40 % (18136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.30/2.40 % (18136)Termination reason: Time limit 14.30/2.40 % (18136)Termination phase: Saturation 14.30/2.40 14.30/2.40 % (18136)Memory used [KB]: 7089 14.30/2.40 % (18136)Time elapsed: 0.705 s 14.30/2.40 % (18136)Instructions burned: 2305 (million) 14.34/2.41 % (18127)Instruction limit reached! 14.34/2.41 % (18127)------------------------------ 14.34/2.41 % (18127)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.34/2.41 % (18127)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.34/2.41 % (18127)Termination reason: Time limit 14.34/2.41 % (18127)Termination phase: Saturation 14.34/2.41 14.34/2.41 % (18127)Memory used [KB]: 21179 14.34/2.41 % (18127)Time elapsed: 1.205 s 14.34/2.41 % (18127)Instructions burned: 3723 (million) 14.34/2.41 % (18063)Running in auto input_syntax mode. Trying TPTP 14.34/2.41 % (18140)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (1779ds/485Mi) 14.34/2.43 % (18063)Running in auto input_syntax mode. Trying TPTP 14.34/2.43 % (18141)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (1779ds/1302Mi) 14.34/2.43 % (18137)First to succeed. 14.34/2.44 % (18063)Running in auto input_syntax mode. Trying TPTP 14.34/2.44 % (18142)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (1779ds/980Mi) 14.34/2.46 % (18137)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18063" 14.34/2.47 % (18063)Running in auto input_syntax mode. Trying TPTP 14.34/2.47 % (18137)Refutation found. Thanks to Tanya! 14.34/2.47 % SZS status Theorem for theBenchmark 14.34/2.47 % SZS output start Proof for theBenchmark 14.34/2.47 tff(type_def_5, type, uni: $tType). 14.34/2.47 tff(type_def_6, type, ty: $tType). 14.34/2.47 tff(type_def_7, type, bool1: $tType). 14.34/2.47 tff(type_def_8, type, tuple02: $tType). 14.34/2.47 tff(type_def_9, type, char1: $tType). 14.34/2.47 tff(type_def_10, type, string2: $tType). 14.34/2.47 tff(type_def_11, type, rope1: $tType). 14.34/2.47 tff(type_def_12, type, array_rope: $tType). 14.34/2.47 tff(type_def_13, type, map_int_rope: $tType). 14.34/2.47 tff(func_def_0, type, witness1: ty > uni). 14.34/2.47 tff(func_def_1, type, int: ty). 14.34/2.47 tff(func_def_2, type, real: ty). 14.34/2.47 tff(func_def_3, type, bool: ty). 14.34/2.47 tff(func_def_4, type, true1: bool1). 14.34/2.47 tff(func_def_5, type, false1: bool1). 14.34/2.47 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 14.34/2.47 tff(func_def_7, type, tuple0: ty). 14.34/2.47 tff(func_def_8, type, tuple03: tuple02). 14.34/2.47 tff(func_def_9, type, qtmark: ty). 14.34/2.47 tff(func_def_10, type, char: ty). 14.34/2.47 tff(func_def_11, type, dummy_char1: char1). 14.34/2.47 tff(func_def_12, type, string: ty). 14.34/2.47 tff(func_def_13, type, length3: string2 > $int). 14.34/2.47 tff(func_def_14, type, mixfix_lbrb1: (string2 * $int) > char1). 14.34/2.47 tff(func_def_15, type, empty1: string2). 14.34/2.47 tff(func_def_16, type, app2: (string2 * string2) > string2). 14.34/2.47 tff(func_def_17, type, sub1: (string2 * $int * $int) > string2). 14.34/2.47 tff(func_def_18, type, rope: ty). 14.34/2.47 tff(func_def_19, type, emp1: rope1). 14.34/2.47 tff(func_def_20, type, str1: (string2 * $int * $int) > rope1). 14.34/2.47 tff(func_def_21, type, app3: (rope1 * rope1 * $int) > rope1). 14.34/2.47 tff(func_def_22, type, match_rope1: (ty * rope1 * uni * uni * uni) > uni). 14.34/2.47 tff(func_def_23, type, str_proj_11: rope1 > string2). 14.34/2.47 tff(func_def_24, type, str_proj_21: rope1 > $int). 14.34/2.47 tff(func_def_25, type, str_proj_31: rope1 > $int). 14.34/2.47 tff(func_def_26, type, app_proj_11: rope1 > rope1). 14.34/2.47 tff(func_def_27, type, app_proj_21: rope1 > rope1). 14.34/2.47 tff(func_def_28, type, app_proj_31: rope1 > $int). 14.34/2.47 tff(func_def_29, type, length4: rope1 > $int). 14.34/2.47 tff(func_def_30, type, string3: rope1 > string2). 14.34/2.47 tff(func_def_31, type, fib1: $int > $int). 14.34/2.47 tff(func_def_32, type, min1: ($int * $int) > $int). 14.34/2.47 tff(func_def_33, type, max2: ($int * $int) > $int). 14.34/2.47 tff(func_def_34, type, map: (ty * ty) > ty). 14.34/2.47 tff(func_def_35, type, get: (ty * ty * uni * uni) > uni). 14.34/2.47 tff(func_def_36, type, set: (ty * ty * uni * uni * uni) > uni). 14.34/2.47 tff(func_def_37, type, const: (ty * ty * uni) > uni). 14.34/2.47 tff(func_def_38, type, array: ty > ty). 14.34/2.47 tff(func_def_39, type, mk_array1: (ty * $int * uni) > uni). 14.34/2.47 tff(func_def_40, type, length5: (ty * uni) > $int). 14.34/2.47 tff(func_def_41, type, elts: (ty * uni) > uni). 14.34/2.47 tff(func_def_42, type, get2: (ty * uni * $int) > uni). 14.34/2.47 tff(func_def_43, type, t2tb: $int > uni). 14.34/2.47 tff(func_def_44, type, tb2t: uni > $int). 14.34/2.47 tff(func_def_45, type, set2: (ty * uni * $int * uni) > uni). 14.34/2.47 tff(func_def_46, type, make1: (ty * $int * uni) > uni). 14.34/2.47 tff(func_def_47, type, ref: ty > ty). 14.34/2.47 tff(func_def_48, type, mk_ref: (ty * uni) > uni). 14.34/2.47 tff(func_def_49, type, contents: (ty * uni) > uni). 14.34/2.47 tff(func_def_50, type, max3: $int). 14.34/2.47 tff(func_def_51, type, string_of_array1: (array_rope * $int * $int) > string2). 14.34/2.47 tff(func_def_52, type, t2tb1: array_rope > uni). 14.34/2.47 tff(func_def_53, type, tb2t1: uni > array_rope). 14.34/2.47 tff(func_def_54, type, t2tb2: rope1 > uni). 14.34/2.47 tff(func_def_55, type, tb2t2: uni > rope1). 14.34/2.47 tff(func_def_56, type, string_of_queue1: array_rope > string2). 14.34/2.47 tff(func_def_57, type, t2tb3: map_int_rope > uni). 14.34/2.47 tff(func_def_58, type, tb2t3: uni > map_int_rope). 14.34/2.47 tff(func_def_66, type, sK0: ($int * array_rope * array_rope * $int) > $int). 14.34/2.47 tff(func_def_67, type, sK1: ($int * array_rope * $int) > $int). 14.34/2.47 tff(func_def_68, type, sK2: ($int * $int * array_rope) > $int). 14.34/2.47 tff(func_def_69, type, sK3: (string2 * string2) > $int). 14.34/2.47 tff(func_def_70, type, sK4: $int). 14.34/2.47 tff(func_def_71, type, sK5: map_int_rope). 14.34/2.47 tff(func_def_72, type, sK6: rope1). 14.34/2.47 tff(func_def_73, type, sK7: $int). 14.34/2.47 tff(func_def_74, type, sK8: rope1). 14.34/2.47 tff(func_def_75, type, sK9: rope1). 14.34/2.47 tff(func_def_76, type, sK10: map_int_rope). 14.34/2.47 tff(func_def_77, type, sF11: rope1). 14.34/2.47 tff(func_def_78, type, sF12: uni). 14.34/2.47 tff(func_def_79, type, sF13: uni). 14.34/2.47 tff(func_def_80, type, sF14: array_rope). 14.34/2.47 tff(func_def_81, type, sF15: uni). 14.34/2.47 tff(func_def_82, type, sF16: $int). 14.34/2.47 tff(func_def_83, type, sF17: string2). 14.34/2.47 tff(func_def_84, type, sF18: $int). 14.34/2.47 tff(func_def_85, type, sF19: uni). 14.34/2.47 tff(func_def_86, type, sF20: $int). 14.34/2.47 tff(func_def_87, type, sF21: uni). 14.34/2.47 tff(func_def_88, type, sF22: $int). 14.34/2.47 tff(func_def_89, type, sF23: uni). 14.34/2.47 tff(func_def_90, type, sF24: uni). 14.34/2.47 tff(func_def_91, type, sF25: $int). 14.34/2.47 tff(func_def_92, type, sF26: $int). 14.34/2.47 tff(func_def_93, type, sF27: $int). 14.34/2.47 tff(func_def_94, type, sF28: $int). 14.34/2.47 tff(func_def_95, type, sF29: uni). 14.34/2.47 tff(func_def_96, type, sF30: uni). 14.34/2.47 tff(func_def_97, type, sF31: array_rope). 14.34/2.47 tff(func_def_98, type, sF32: uni). 14.34/2.47 tff(func_def_99, type, sF33: $int). 14.34/2.47 tff(func_def_100, type, sF34: string2). 14.34/2.47 tff(func_def_101, type, sF35: string2). 14.34/2.47 tff(func_def_102, type, sF36: string2). 14.34/2.47 tff(func_def_103, type, sF37: $int). 14.34/2.47 tff(func_def_104, type, sF38: $int). 14.34/2.47 tff(func_def_105, type, sF39: uni). 14.34/2.47 tff(func_def_106, type, sF40: $int). 14.34/2.47 tff(func_def_107, type, sF41: uni). 14.34/2.47 tff(func_def_108, type, sF42: uni). 14.34/2.47 tff(func_def_109, type, sF43: $int). 14.34/2.47 tff(func_def_110, type, sF44: $int). 14.34/2.47 tff(func_def_111, type, sF45: $int). 14.34/2.47 tff(func_def_112, type, sF46: uni). 14.34/2.47 tff(func_def_113, type, sF47: $int). 14.34/2.47 tff(func_def_114, type, sF48: uni). 14.34/2.47 tff(func_def_115, type, sF49: uni). 14.34/2.47 tff(func_def_116, type, sF50: $int). 14.34/2.47 tff(func_def_117, type, sF51: $int). 14.34/2.47 tff(func_def_125, type, '$inst53': $int). 14.34/2.47 tff(func_def_127, type, '$inst54': $int). 14.34/2.47 tff(func_def_128, type, '$inst55': $int). 14.34/2.47 tff(func_def_129, type, '$inst56': $int). 14.34/2.47 tff(pred_def_1, type, sort1: (ty * uni) > $o). 14.34/2.47 tff(pred_def_2, type, infix_eqeq1: (string2 * string2) > $o). 14.34/2.47 tff(pred_def_3, type, inv1: rope1 > $o). 14.34/2.47 tff(f12638,plain,( 14.34/2.47 $false), 14.34/2.47 inference(avatar_smt_refutation,[],[f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f789,f794,f799,f804,f809,f814,f819,f824,f829,f834,f839,f844,f849,f857,f864,f871,f878,f885,f893,f901,f907,f913,f920,f927,f932,f938,f945,f951,f958,f965,f977,f984,f993,f1001,f1013,f1020,f1031,f1039,f1046,f1068,f1077,f1086,f1095,f1104,f1110,f1125,f1135,f1157,f1170,f1176,f1184,f1193,f1201,f1207,f1232,f1247,f1253,f1259,f1264,f1271,f1276,f1282,f1289,f1294,f1300,f1310,f1316,f1325,f1330,f1347,f1352,f1359,f1365,f1375,f1380,f1399,f1400,f1408,f1413,f1419,f1428,f1437,f1454,f1463,f1471,f1480,f1489,f1495,f1503,f1535,f1552,f1557,f1568,f1691,f1708,f1722,f1725,f1730,f1737,f1739,f1744,f1750,f1761,f1767,f1773,f1778,f1791,f1798,f1808,f1813,f1838,f1840,f1871,f1873,f1907,f1929,f1938,f1940,f1989,f1997,f2000,f2012,f2020,f2031,f2038,f2045,f2092,f2127,f2146,f2150,f2152,f2154,f2266,f2271,f2277,f2282,f2306,f2309,f2319,f2328,f2329,f2332,f2340,f2451,f2508,f2510,f2526,f2531,f2538,f2546,f2563,f2568,f2581,f2586,f2596,f2601,f2623,f2639,f2664,f2692,f2702,f2703,f2705,f2711,f2713,f2719,f2724,f2738,f2746,f2763,f2769,f2775,f2780,f2786,f2792,f2809,f2810,f2816,f2829,f2839,f2845,f2847,f2853,f2855,f2856,f2862,f2879,f2881,f2900,f2906,f2912,f2913,f2918,f2924,f2930,f2937,f2941,f2952,f2957,f2964,f2984,f3008,f3015,f3042,f3047,f3052,f3077,f3109,f3146,f3147,f3185,f3224,f3268,f3274,f3317,f3321,f3322,f3327,f3331,f3335,f3342,f3348,f3353,f3361,f3385,f3390,f3405,f3408,f3419,f3424,f3443,f3484,f3491,f3494,f3500,f3511,f3516,f3526,f3531,f3541,f3542,f3545,f3546,f3559,f3563,f3567,f3597,f3600,f3622,f3624,f3640,f3650,f3654,f3655,f3657,f3668,f3675,f3689,f3699,f3719,f3739,f3742,f3749,f3752,f3760,f3763,f3774,f3779,f3780,f3784,f3788,f3791,f3794,f3820,f3826,f3843,f3851,f3854,f3862,f3865,f3933,f3939,f3946,f3949,f3966,f3971,f3975,f3979,f4003,f4010,f4082,f4092,f4098,f4114,f4120,f4129,f4136,f4146,f4152,f4185,f4191,f4226,f4247,f4400,f4405,f4410,f4417,f4428,f4432,f4583,f4588,f4599,f4604,f4615,f4619,f4647,f4651,f4678,f4683,f4689,f4695,f4700,f4710,f4715,f4726,f4730,f4771,f4775,f4854,f4858,f4885,f4889,f4897,f5046,f5050,f5135,f5140,f5146,f5157,f5162,f5179,f5187,f5193,f5216,f5227,f5232,f5243,f5248,f5353,f5357,f5385,f5390,f5396,f5406,f5411,f5457,f5461,f5622,f5628,f5668,f5673,f5763,f5767,f5771,f5841,f5850,f5877,f5884,f5899,f5906,f5953,f5957,f5962,f5967,f5975,f5979,f5983,f5991,f5999,f6005,f6011,f6015,f6020,f6021,f6022,f6032,f6034,f6042,f6043,f6046,f6050,f6052,f6053,f6056,f6057,f6062,f6085,f6090,f6095,f6100,f6105,f6110,f6140,f6178,f6183,f6186,f6189,f6195,f6202,f6208,f6212,f6219,f6323,f6329,f6339,f6351,f6352,f6365,f6380,f6381,f6386,f6391,f6396,f6397,f6410,f6414,f6436,f6445,f6455,f6456,f6457,f6465,f6499,f6530,f6535,f6688,f6693,f6712,f6724,f6728,f6882,f6887,f6889,f6893,f6895,f6960,f6962,f7089,f7112,f7114,f7116,f7118,f7132,f7150,f7164,f7296,f7298,f7512,f7562,f7586,f7598,f7620,f7694,f7698,f7705,f7719,f7738,f7740,f7746,f7750,f7767,f7785,f7788,f7808,f7811,f7812,f7832,f7842,f7858,f7863,f7864,f7868,f7874,f7876,f7881,f7884,f7907,f7910,f7916,f7919,f7921,f7923,f7927,f7939,f8048,f8102,f8133,f8134,f8346,f8348,f8392,f8393,f8396,f8397,f8430,f8431,f8434,f8435,f8445,f8446,f8449,f8450,f8453,f8454,f8464,f8469,f8507,f8509,f8511,f8883,f8885,f9157,f9164,f9197,f9202,f9207,f9212,f9217,f9222,f9227,f9232,f9237,f9242,f9247,f9252,f9257,f9262,f9267,f9272,f9277,f9282,f9287,f9292,f9297,f9302,f9307,f9314,f9318,f9348,f9350,f9360,f9362,f9367,f9369,f9370,f9375,f9390,f9394,f9398,f9406,f9407,f9409,f9411,f9438,f9444,f9464,f9466,f9473,f9477,f9484,f9488,f9495,f9499,f9507,f9511,f9518,f9522,f9552,f9559,f9565,f9575,f9580,f9598,f9604,f9613,f9625,f9630,f9649,f9653,f9689,f9697,f9704,f9765,f9769,f9771,f9786,f9798,f9799,f9809,f9810,f9813,f9820,f9824,f9826,f9842,f9861,f9870,f9882,f9887,f9891,f9893,f9895,f9915,f9919,f9924,f9934,f9935,f9942,f9952,f9957,f9961,f9976,f9980,f9984,f9988,f10069,f10084,f10100,f10103,f10105,f10107,f10109,f10116,f10132,f10136,f10163,f10169,f10175,f10177,f10185,f10188,f10195,f10198,f10226,f10231,f10236,f10240,f10244,f10334,f10340,f10342,f10364,f10366,f10368,f10426,f10470,f10505,f10521,f10544,f10582,f10622,f10655,f10660,f10670,f10675,f10772,f10814,f10911,f10975,f11012,f11014,f11015,f11016,f11017,f11023,f11030,f11105,f11109,f11135,f11146,f11154,f11156,f11162,f11163,f11172,f11180,f11196,f11202,f11203,f11214,f11215,f11216,f11224,f11228,f11234,f11241,f11245,f11246,f11275,f11279,f11283,f11286,f11296,f11302,f11312,f11319,f11331,f11335,f11383,f11390,f11392,f11404,f11408,f11626,f11672,f11674,f11676,f11677,f11688,f11698,f11707,f11903,f11907,f11918,f11923,f11924,f11955,f11973,f11993,f12000,f12003,f12015,f12031,f12044,f12049,f12054,f12060,f12065,f12070,f12071,f12075,f12076,f12081,f12082,f12084,f12089,f12096,f12099,f12104,f12109,f12113,f12114,f12119,f12120,f12146,f12152,f12158,f12162,f12167,f12169,f12173,f12180,f12200,f12206,f12210,f12212,f12222,f12229,f12232,f12239,f12240,f12258,f12272,f12274,f12286,f12290,f12298,f12301,f12302,f12312,f12317,f12320,f12321,f12323,f12332,f12339,f12342,f12349,f12419,f12453,f12479,f12481,f12484,f12491,f12492,f12497,f12499,f12511,f12516,f12570,f12617,f12624,f12632,f12634,f12636,f12637])). 14.34/2.47 tff(f12637,plain,( 14.34/2.47 spl52_218 | spl52_686 | ~spl52_219), 14.34/2.47 inference(avatar_split_clause,[],[f12611,f2743,f12615,f2735])). 14.34/2.47 tff(f2735,plain,( 14.34/2.47 spl52_218 <=> $less(sK3(empty1,sF34),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_218])])). 14.34/2.47 tff(f12615,plain,( 14.34/2.47 spl52_686 <=> ! [X0 : string2] : (~infix_eqeq1(X0,sF34) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~$less(sK3(empty1,sF34),length3(X0)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_686])])). 14.34/2.47 tff(f2743,plain,( 14.34/2.47 spl52_219 <=> mixfix_lbrb1(sF34,sK3(empty1,sF34)) = mixfix_lbrb1(empty1,sK3(empty1,sF34))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_219])])). 14.34/2.47 tff(f12611,plain,( 14.34/2.47 ( ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | $less(sK3(empty1,sF34),0) | ~$less(sK3(empty1,sF34),length3(X0)) | ~infix_eqeq1(X0,sF34)) ) | ~spl52_219), 14.34/2.47 inference(superposition,[],[f430,f2744])). 14.34/2.47 tff(f2744,plain,( 14.34/2.47 mixfix_lbrb1(sF34,sK3(empty1,sF34)) = mixfix_lbrb1(empty1,sK3(empty1,sF34)) | ~spl52_219), 14.34/2.47 inference(avatar_component_clause,[],[f2743])). 14.34/2.47 tff(f430,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : string2] : (mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2) | ~infix_eqeq1(X1,X0) | ~$less(X2,length3(X1)) | $less(X2,0)) )), 14.34/2.47 inference(cnf_transformation,[],[f323])). 14.34/2.47 tff(f323,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (((! [X2 : $int] : (~$less(X2,length3(X1)) | $less(X2,0) | mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2)) & length3(X1) = length3(X0)) | ~infix_eqeq1(X1,X0)) & (infix_eqeq1(X1,X0) | ($less(sK3(X0,X1),length3(X1)) & ~$less(sK3(X0,X1),0) & mixfix_lbrb1(X1,sK3(X0,X1)) != mixfix_lbrb1(X0,sK3(X0,X1))) | length3(X1) != length3(X0)))), 14.34/2.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f321,f322])). 14.34/2.47 tff(f322,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (? [X3 : $int] : ($less(X3,length3(X1)) & ~$less(X3,0) & mixfix_lbrb1(X1,X3) != mixfix_lbrb1(X0,X3)) => ($less(sK3(X0,X1),length3(X1)) & ~$less(sK3(X0,X1),0) & mixfix_lbrb1(X1,sK3(X0,X1)) != mixfix_lbrb1(X0,sK3(X0,X1))))), 14.34/2.47 introduced(choice_axiom,[])). 14.34/2.47 tff(f321,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (((! [X2 : $int] : (~$less(X2,length3(X1)) | $less(X2,0) | mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2)) & length3(X1) = length3(X0)) | ~infix_eqeq1(X1,X0)) & (infix_eqeq1(X1,X0) | ? [X3 : $int] : ($less(X3,length3(X1)) & ~$less(X3,0) & mixfix_lbrb1(X1,X3) != mixfix_lbrb1(X0,X3)) | length3(X1) != length3(X0)))), 14.34/2.47 inference(rectify,[],[f320])). 14.34/2.47 tff(f320,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (((! [X2 : $int] : (~$less(X2,length3(X1)) | $less(X2,0) | mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2)) & length3(X1) = length3(X0)) | ~infix_eqeq1(X1,X0)) & (infix_eqeq1(X1,X0) | ? [X2 : $int] : ($less(X2,length3(X1)) & ~$less(X2,0) & mixfix_lbrb1(X1,X2) != mixfix_lbrb1(X0,X2)) | length3(X1) != length3(X0)))), 14.34/2.47 inference(flattening,[],[f319])). 14.34/2.47 tff(f319,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (((! [X2 : $int] : (~$less(X2,length3(X1)) | $less(X2,0) | mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2)) & length3(X1) = length3(X0)) | ~infix_eqeq1(X1,X0)) & (infix_eqeq1(X1,X0) | (? [X2 : $int] : ($less(X2,length3(X1)) & ~$less(X2,0) & mixfix_lbrb1(X1,X2) != mixfix_lbrb1(X0,X2)) | length3(X1) != length3(X0))))), 14.34/2.47 inference(nnf_transformation,[],[f253])). 14.34/2.47 tff(f253,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : ((! [X2 : $int] : (~$less(X2,length3(X1)) | $less(X2,0) | mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2)) & length3(X1) = length3(X0)) <=> infix_eqeq1(X1,X0))), 14.34/2.47 inference(flattening,[],[f252])). 14.34/2.47 tff(f252,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (infix_eqeq1(X1,X0) <=> (! [X2 : $int] : (mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2) | (~$less(X2,length3(X1)) | $less(X2,0))) & length3(X1) = length3(X0)))), 14.34/2.47 inference(ennf_transformation,[],[f214])). 14.34/2.47 tff(f214,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (infix_eqeq1(X1,X0) <=> (! [X2 : $int] : (($less(X2,length3(X1)) & ~$less(X2,0)) => mixfix_lbrb1(X1,X2) = mixfix_lbrb1(X0,X2)) & length3(X1) = length3(X0)))), 14.34/2.47 inference(rectify,[],[f118])). 14.34/2.47 tff(f118,plain,( 14.34/2.47 ! [X17 : string2,X16 : string2] : (infix_eqeq1(X16,X17) <=> (! [X20 : $int] : (($less(X20,length3(X16)) & ~$less(X20,0)) => mixfix_lbrb1(X16,X20) = mixfix_lbrb1(X17,X20)) & length3(X16) = length3(X17)))), 14.34/2.47 inference(theory_normalization,[],[f46])). 14.34/2.47 tff(f46,axiom,( 14.34/2.47 ! [X17 : string2,X16 : string2] : (infix_eqeq1(X16,X17) <=> (! [X20 : $int] : (($less(X20,length3(X16)) & $lesseq(0,X20)) => mixfix_lbrb1(X16,X20) = mixfix_lbrb1(X17,X20)) & length3(X16) = length3(X17)))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12636,plain,( 14.34/2.47 spl52_218 | spl52_627 | ~spl52_10 | ~spl52_100 | ~spl52_219 | ~spl52_628), 14.34/2.47 inference(avatar_split_clause,[],[f12635,f11704,f2743,f1154,f601,f11700,f2735])). 14.34/2.47 tff(f11700,plain,( 14.34/2.47 spl52_627 <=> mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(sF17,sK3(empty1,sF34))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_627])])). 14.34/2.47 tff(f601,plain,( 14.34/2.47 spl52_10 <=> length3(sF17) = sF18), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_10])])). 14.34/2.47 tff(f1154,plain,( 14.34/2.47 spl52_100 <=> sF34 = app2(sF17,sF35)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_100])])). 14.34/2.47 tff(f11704,plain,( 14.34/2.47 spl52_628 <=> $less(sK3(empty1,sF34),sF18)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_628])])). 14.34/2.47 tff(f12635,plain,( 14.34/2.47 mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(sF17,sK3(empty1,sF34)) | $less(sK3(empty1,sF34),0) | (~spl52_10 | ~spl52_100 | ~spl52_219 | ~spl52_628)), 14.34/2.47 inference(subsumption_resolution,[],[f12609,f11705])). 14.34/2.47 tff(f11705,plain,( 14.34/2.47 $less(sK3(empty1,sF34),sF18) | ~spl52_628), 14.34/2.47 inference(avatar_component_clause,[],[f11704])). 14.34/2.47 tff(f12609,plain,( 14.34/2.47 ~$less(sK3(empty1,sF34),sF18) | $less(sK3(empty1,sF34),0) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(sF17,sK3(empty1,sF34)) | (~spl52_10 | ~spl52_100 | ~spl52_219)), 14.34/2.47 inference(superposition,[],[f1573,f2744])). 14.34/2.47 tff(f1573,plain,( 14.34/2.47 ( ! [X0 : $int] : (mixfix_lbrb1(sF17,X0) = mixfix_lbrb1(sF34,X0) | ~$less(X0,sF18) | $less(X0,0)) ) | (~spl52_10 | ~spl52_100)), 14.34/2.47 inference(forward_demodulation,[],[f1571,f603])). 14.34/2.47 tff(f603,plain,( 14.34/2.47 length3(sF17) = sF18 | ~spl52_10), 14.34/2.47 inference(avatar_component_clause,[],[f601])). 14.34/2.47 tff(f1571,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length3(sF17)) | $less(X0,0) | mixfix_lbrb1(sF17,X0) = mixfix_lbrb1(sF34,X0)) ) | ~spl52_100), 14.34/2.47 inference(superposition,[],[f402,f1156])). 14.34/2.47 tff(f1156,plain,( 14.34/2.47 sF34 = app2(sF17,sF35) | ~spl52_100), 14.34/2.47 inference(avatar_component_clause,[],[f1154])). 14.34/2.47 tff(f402,plain,( 14.34/2.47 ( ! [X2 : string2,X0 : $int,X1 : string2] : (mixfix_lbrb1(app2(X1,X2),X0) = mixfix_lbrb1(X1,X0) | $less(X0,0) | ~$less(X0,length3(X1))) )), 14.34/2.47 inference(cnf_transformation,[],[f225])). 14.34/2.47 tff(f225,plain,( 14.34/2.47 ! [X0 : $int,X1 : string2,X2 : string2] : ($less(X0,0) | mixfix_lbrb1(app2(X1,X2),X0) = mixfix_lbrb1(X1,X0) | ~$less(X0,length3(X1)))), 14.34/2.47 inference(flattening,[],[f224])). 14.34/2.47 tff(f224,plain,( 14.34/2.47 ! [X0 : $int,X2 : string2,X1 : string2] : (mixfix_lbrb1(app2(X1,X2),X0) = mixfix_lbrb1(X1,X0) | ($less(X0,0) | ~$less(X0,length3(X1))))), 14.34/2.47 inference(ennf_transformation,[],[f152])). 14.34/2.47 tff(f152,plain,( 14.34/2.47 ! [X0 : $int,X2 : string2,X1 : string2] : ((~$less(X0,0) & $less(X0,length3(X1))) => mixfix_lbrb1(app2(X1,X2),X0) = mixfix_lbrb1(X1,X0))), 14.34/2.47 inference(rectify,[],[f97])). 14.34/2.47 tff(f97,plain,( 14.34/2.47 ! [X20 : $int,X16 : string2,X17 : string2] : (($less(X20,length3(X16)) & ~$less(X20,0)) => mixfix_lbrb1(app2(X16,X17),X20) = mixfix_lbrb1(X16,X20))), 14.34/2.47 inference(theory_normalization,[],[f43])). 14.34/2.47 tff(f43,axiom,( 14.34/2.47 ! [X20 : $int,X16 : string2,X17 : string2] : (($less(X20,length3(X16)) & $lesseq(0,X20)) => mixfix_lbrb1(app2(X16,X17),X20) = mixfix_lbrb1(X16,X20))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12634,plain,( 14.34/2.47 spl52_218 | spl52_627 | ~spl52_10 | ~spl52_100 | ~spl52_219 | ~spl52_628), 14.34/2.47 inference(avatar_split_clause,[],[f12633,f11704,f2743,f1154,f601,f11700,f2735])). 14.34/2.47 tff(f12633,plain,( 14.34/2.47 mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(sF17,sK3(empty1,sF34)) | $less(sK3(empty1,sF34),0) | (~spl52_10 | ~spl52_100 | ~spl52_219 | ~spl52_628)), 14.34/2.47 inference(subsumption_resolution,[],[f12606,f11705])). 14.34/2.47 tff(f12606,plain,( 14.34/2.47 mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(sF17,sK3(empty1,sF34)) | $less(sK3(empty1,sF34),0) | ~$less(sK3(empty1,sF34),sF18) | (~spl52_10 | ~spl52_100 | ~spl52_219)), 14.34/2.47 inference(superposition,[],[f2744,f1573])). 14.34/2.47 tff(f12632,plain,( 14.34/2.47 spl52_687 | spl52_218 | ~spl52_8 | ~spl52_219 | ~spl52_477 | ~spl52_625), 14.34/2.47 inference(avatar_split_clause,[],[f12631,f11692,f9161,f2743,f591,f2735,f12622])). 14.34/2.47 tff(f12622,plain,( 14.34/2.47 spl52_687 <=> ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(sF34,X0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_687])])). 14.34/2.47 tff(f591,plain,( 14.34/2.47 spl52_8 <=> length3(sF34) = sF37), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_8])])). 14.34/2.47 tff(f9161,plain,( 14.34/2.47 spl52_477 <=> sF26 = sF37), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_477])])). 14.34/2.47 tff(f11692,plain,( 14.34/2.47 spl52_625 <=> $less(sK3(empty1,sF34),sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_625])])). 14.34/2.47 tff(f12631,plain,( 14.34/2.47 ( ! [X0 : string2] : (~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34))) ) | (~spl52_8 | ~spl52_219 | ~spl52_477 | ~spl52_625)), 14.34/2.47 inference(subsumption_resolution,[],[f12630,f11693])). 14.34/2.47 tff(f11693,plain,( 14.34/2.47 $less(sK3(empty1,sF34),sF26) | ~spl52_625), 14.34/2.47 inference(avatar_component_clause,[],[f11692])). 14.34/2.47 tff(f12630,plain,( 14.34/2.47 ( ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0) | ~$less(sK3(empty1,sF34),sF26)) ) | (~spl52_8 | ~spl52_219 | ~spl52_477)), 14.34/2.47 inference(forward_demodulation,[],[f12629,f9163])). 14.34/2.47 tff(f9163,plain,( 14.34/2.47 sF26 = sF37 | ~spl52_477), 14.34/2.47 inference(avatar_component_clause,[],[f9161])). 14.34/2.47 tff(f12629,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(sK3(empty1,sF34),0) | ~$less(sK3(empty1,sF34),sF37) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(sF34,X0)) ) | (~spl52_8 | ~spl52_219)), 14.34/2.47 inference(forward_demodulation,[],[f12612,f593])). 14.34/2.47 tff(f593,plain,( 14.34/2.47 length3(sF34) = sF37 | ~spl52_8), 14.34/2.47 inference(avatar_component_clause,[],[f591])). 14.34/2.47 tff(f12612,plain,( 14.34/2.47 ( ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~$less(sK3(empty1,sF34),length3(sF34)) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0)) ) | ~spl52_219), 14.34/2.47 inference(superposition,[],[f430,f2744])). 14.34/2.47 tff(f12624,plain,( 14.34/2.47 spl52_218 | spl52_687 | ~spl52_8 | ~spl52_219 | ~spl52_477 | ~spl52_625), 14.34/2.47 inference(avatar_split_clause,[],[f12620,f11692,f9161,f2743,f591,f12622,f2735])). 14.34/2.47 tff(f12620,plain,( 14.34/2.47 ( ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | $less(sK3(empty1,sF34),0) | ~infix_eqeq1(sF34,X0)) ) | (~spl52_8 | ~spl52_219 | ~spl52_477 | ~spl52_625)), 14.34/2.47 inference(subsumption_resolution,[],[f12619,f11693])). 14.34/2.47 tff(f12619,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less(sK3(empty1,sF34),sF26) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0)) ) | (~spl52_8 | ~spl52_219 | ~spl52_477)), 14.34/2.47 inference(forward_demodulation,[],[f12618,f9163])). 14.34/2.47 tff(f12618,plain,( 14.34/2.47 ( ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~$less(sK3(empty1,sF34),sF37) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0)) ) | (~spl52_8 | ~spl52_219)), 14.34/2.47 inference(forward_demodulation,[],[f12608,f593])). 14.34/2.47 tff(f12608,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less(sK3(empty1,sF34),length3(sF34)) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0)) ) | ~spl52_219), 14.34/2.47 inference(superposition,[],[f2744,f430])). 14.34/2.47 tff(f12617,plain,( 14.34/2.47 spl52_218 | spl52_686 | ~spl52_219), 14.34/2.47 inference(avatar_split_clause,[],[f12607,f2743,f12615,f2735])). 14.34/2.47 tff(f12607,plain,( 14.34/2.47 ( ! [X0 : string2] : (~infix_eqeq1(X0,sF34) | $less(sK3(empty1,sF34),0) | ~$less(sK3(empty1,sF34),length3(X0)) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) = mixfix_lbrb1(X0,sK3(empty1,sF34))) ) | ~spl52_219), 14.34/2.47 inference(superposition,[],[f2744,f430])). 14.34/2.47 tff(f12570,plain,( 14.34/2.47 spl52_685 | ~spl52_83 | ~spl52_124 | ~spl52_231 | ~spl52_254 | ~spl52_656), 14.34/2.47 inference(avatar_split_clause,[],[f12565,f12156,f3143,f2832,f1362,f1028,f12567])). 14.34/2.47 tff(f12567,plain,( 14.34/2.47 spl52_685 <=> sF47 = $sum(sF20,sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_685])])). 14.34/2.47 tff(f1028,plain,( 14.34/2.47 spl52_83 <=> length3(string3(sK6)) = length4(sK6)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_83])])). 14.34/2.47 tff(f1362,plain,( 14.34/2.47 spl52_124 <=> sF47 = length4(sK6)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_124])])). 14.34/2.47 tff(f2832,plain,( 14.34/2.47 spl52_231 <=> sF20 = length3(sF35)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_231])])). 14.34/2.47 tff(f3143,plain,( 14.34/2.47 spl52_254 <=> string3(sK6) = app2(sF35,string3(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_254])])). 14.34/2.47 tff(f12156,plain,( 14.34/2.47 spl52_656 <=> ! [X0 : string2] : length3(app2(X0,string3(sK9))) = $sum(length3(X0),sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_656])])). 14.34/2.47 tff(f12565,plain,( 14.34/2.47 sF47 = $sum(sF20,sF38) | (~spl52_83 | ~spl52_124 | ~spl52_231 | ~spl52_254 | ~spl52_656)), 14.34/2.47 inference(forward_demodulation,[],[f12564,f1364])). 14.34/2.47 tff(f1364,plain,( 14.34/2.47 sF47 = length4(sK6) | ~spl52_124), 14.34/2.47 inference(avatar_component_clause,[],[f1362])). 14.34/2.47 tff(f12564,plain,( 14.34/2.47 length4(sK6) = $sum(sF20,sF38) | (~spl52_83 | ~spl52_231 | ~spl52_254 | ~spl52_656)), 14.34/2.47 inference(forward_demodulation,[],[f12563,f1030])). 14.34/2.47 tff(f1030,plain,( 14.34/2.47 length3(string3(sK6)) = length4(sK6) | ~spl52_83), 14.34/2.47 inference(avatar_component_clause,[],[f1028])). 14.34/2.47 tff(f12563,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(sF20,sF38) | (~spl52_231 | ~spl52_254 | ~spl52_656)), 14.34/2.47 inference(forward_demodulation,[],[f12520,f2834])). 14.34/2.47 tff(f2834,plain,( 14.34/2.47 sF20 = length3(sF35) | ~spl52_231), 14.34/2.47 inference(avatar_component_clause,[],[f2832])). 14.34/2.47 tff(f12520,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(length3(sF35),sF38) | (~spl52_254 | ~spl52_656)), 14.34/2.47 inference(superposition,[],[f12157,f3145])). 14.34/2.47 tff(f3145,plain,( 14.34/2.47 string3(sK6) = app2(sF35,string3(sK9)) | ~spl52_254), 14.34/2.47 inference(avatar_component_clause,[],[f3143])). 14.34/2.47 tff(f12157,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK9))) = $sum(length3(X0),sF38)) ) | ~spl52_656), 14.34/2.47 inference(avatar_component_clause,[],[f12156])). 14.34/2.47 tff(f12516,plain,( 14.34/2.47 spl52_684 | spl52_683 | spl52_679), 14.34/2.47 inference(avatar_split_clause,[],[f12503,f12476,f12508,f12513])). 14.34/2.47 tff(f12513,plain,( 14.34/2.47 spl52_684 <=> $less(0,$sum(sF38,sF47))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_684])])). 14.34/2.47 tff(f12508,plain,( 14.34/2.47 spl52_683 <=> 0 = $sum(sF38,sF47)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_683])])). 14.34/2.47 tff(f12476,plain,( 14.34/2.47 spl52_679 <=> $less($sum(sF38,sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_679])])). 14.34/2.47 tff(f12503,plain,( 14.34/2.47 0 = $sum(sF38,sF47) | $less(0,$sum(sF38,sF47)) | spl52_679), 14.34/2.47 inference(resolution,[],[f12478,f129])). 14.34/2.47 tff(f129,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )), 14.34/2.47 introduced(theory_axiom_152,[])). 14.34/2.47 tff(f12478,plain,( 14.34/2.47 ~$less($sum(sF38,sF47),0) | spl52_679), 14.34/2.47 inference(avatar_component_clause,[],[f12476])). 14.34/2.47 tff(f12511,plain,( 14.34/2.47 spl52_682 | spl52_683 | spl52_679), 14.34/2.47 inference(avatar_split_clause,[],[f12502,f12476,f12508,f12505])). 14.34/2.47 tff(f12505,plain,( 14.34/2.47 spl52_682 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF38,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_682])])). 14.34/2.47 tff(f12502,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF38,sF47) | ~$less(X0,0) | $less(X0,$sum(sF38,sF47))) ) | spl52_679), 14.34/2.47 inference(resolution,[],[f12478,f1052])). 14.34/2.47 tff(f1052,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | ~$less(X2,X1) | X0 = X1 | $less(X2,X0)) )), 14.34/2.47 inference(resolution,[],[f129,f128])). 14.34/2.47 tff(f128,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | $less(X0,X2) | ~$less(X0,X1)) )), 14.34/2.47 introduced(theory_axiom_151,[])). 14.34/2.47 tff(f12499,plain,( 14.34/2.47 ~spl52_577 | ~spl52_10 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12468,f12416,f601,f10160])). 14.34/2.47 tff(f10160,plain,( 14.34/2.47 spl52_577 <=> $less($sum(sF38,sF18),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_577])])). 14.34/2.47 tff(f12416,plain,( 14.34/2.47 spl52_678 <=> sF38 = length3(string3(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_678])])). 14.34/2.47 tff(f12468,plain,( 14.34/2.47 ~$less($sum(sF38,sF18),0) | (~spl52_10 | ~spl52_678)), 14.34/2.47 inference(superposition,[],[f3026,f12418])). 14.34/2.47 tff(f12418,plain,( 14.34/2.47 sF38 = length3(string3(sK9)) | ~spl52_678), 14.34/2.47 inference(avatar_component_clause,[],[f12416])). 14.34/2.47 tff(f3026,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(length3(X0),sF18),0)) ) | ~spl52_10), 14.34/2.47 inference(superposition,[],[f405,f1148])). 14.34/2.47 tff(f1148,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,sF17)) = $sum(length3(X0),sF18)) ) | ~spl52_10), 14.34/2.47 inference(superposition,[],[f432,f603])). 14.34/2.47 tff(f432,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : string2] : ($sum(length3(X1),length3(X0)) = length3(app2(X1,X0))) )), 14.34/2.47 inference(cnf_transformation,[],[f189])). 14.34/2.47 tff(f189,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : $sum(length3(X1),length3(X0)) = length3(app2(X1,X0))), 14.34/2.47 inference(rectify,[],[f60])). 14.34/2.47 tff(f60,axiom,( 14.34/2.47 ! [X17 : string2,X16 : string2] : $sum(length3(X16),length3(X17)) = length3(app2(X16,X17))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f405,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less(length3(X0),0)) )), 14.34/2.47 inference(cnf_transformation,[],[f207])). 14.34/2.47 tff(f207,plain,( 14.34/2.47 ! [X0 : string2] : ~$less(length3(X0),0)), 14.34/2.47 inference(rectify,[],[f115])). 14.34/2.47 tff(f115,plain,( 14.34/2.47 ! [X4 : string2] : ~$less(length3(X4),0)), 14.34/2.47 inference(theory_normalization,[],[f44])). 14.34/2.47 tff(f44,axiom,( 14.34/2.47 ! [X4 : string2] : $lesseq(0,length3(X4))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12497,plain,( 14.34/2.47 ~spl52_681 | ~spl52_425 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12472,f12416,f6193,f12494])). 14.34/2.47 tff(f12494,plain,( 14.34/2.47 spl52_681 <=> $less($sum(sF20,sF38),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_681])])). 14.34/2.47 tff(f6193,plain,( 14.34/2.47 spl52_425 <=> ! [X0 : string2] : length3(app2(sF35,X0)) = $sum(sF20,length3(X0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_425])])). 14.34/2.47 tff(f12472,plain,( 14.34/2.47 ~$less($sum(sF20,sF38),0) | (~spl52_425 | ~spl52_678)), 14.34/2.47 inference(superposition,[],[f10393,f12418])). 14.34/2.47 tff(f10393,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(sF20,length3(X0)),0)) ) | ~spl52_425), 14.34/2.47 inference(superposition,[],[f405,f6194])). 14.34/2.47 tff(f6194,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(sF35,X0)) = $sum(sF20,length3(X0))) ) | ~spl52_425), 14.34/2.47 inference(avatar_component_clause,[],[f6193])). 14.34/2.47 tff(f12492,plain,( 14.34/2.47 ~spl52_580 | ~spl52_10 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12466,f12416,f601,f10182])). 14.34/2.47 tff(f10182,plain,( 14.34/2.47 spl52_580 <=> $less($sum(sF18,sF38),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_580])])). 14.34/2.47 tff(f12466,plain,( 14.34/2.47 ~$less($sum(sF18,sF38),0) | (~spl52_10 | ~spl52_678)), 14.34/2.47 inference(superposition,[],[f2972,f12418])). 14.34/2.47 tff(f2972,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(sF18,length3(X0)),0)) ) | ~spl52_10), 14.34/2.47 inference(superposition,[],[f405,f1144])). 14.34/2.47 tff(f1144,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(sF17,X0)) = $sum(sF18,length3(X0))) ) | ~spl52_10), 14.34/2.47 inference(superposition,[],[f432,f603])). 14.34/2.47 tff(f12491,plain,( 14.34/2.47 ~spl52_680 | ~spl52_83 | ~spl52_124 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12473,f12416,f1362,f1028,f12488])). 14.34/2.47 tff(f12488,plain,( 14.34/2.47 spl52_680 <=> $less($sum(sF47,sF38),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_680])])). 14.34/2.47 tff(f12473,plain,( 14.34/2.47 ~$less($sum(sF47,sF38),0) | (~spl52_83 | ~spl52_124 | ~spl52_678)), 14.34/2.47 inference(superposition,[],[f10887,f12418])). 14.34/2.47 tff(f10887,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(sF47,length3(X0)),0)) ) | (~spl52_83 | ~spl52_124)), 14.34/2.47 inference(superposition,[],[f405,f10818])). 14.34/2.47 tff(f10818,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(string3(sK6),X0)) = $sum(sF47,length3(X0))) ) | (~spl52_83 | ~spl52_124)), 14.34/2.47 inference(forward_demodulation,[],[f1143,f1364])). 14.34/2.47 tff(f1143,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(string3(sK6),X0)) = $sum(length4(sK6),length3(X0))) ) | ~spl52_83), 14.34/2.47 inference(superposition,[],[f432,f1030])). 14.34/2.47 tff(f12484,plain,( 14.34/2.47 spl52_656 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12461,f12416,f12156])). 14.34/2.47 tff(f12461,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK9))) = $sum(length3(X0),sF38)) ) | ~spl52_678), 14.34/2.47 inference(superposition,[],[f432,f12418])). 14.34/2.47 tff(f12481,plain,( 14.34/2.47 ~spl52_579 | ~spl52_8 | ~spl52_477 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12480,f12416,f9161,f591,f10172])). 14.34/2.47 tff(f10172,plain,( 14.34/2.47 spl52_579 <=> $less($sum(sF38,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_579])])). 14.34/2.47 tff(f12480,plain,( 14.34/2.47 ~$less($sum(sF38,sF26),0) | (~spl52_8 | ~spl52_477 | ~spl52_678)), 14.34/2.47 inference(forward_demodulation,[],[f12469,f9163])). 14.34/2.47 tff(f12469,plain,( 14.34/2.47 ~$less($sum(sF38,sF37),0) | (~spl52_8 | ~spl52_678)), 14.34/2.47 inference(superposition,[],[f3063,f12418])). 14.34/2.47 tff(f3063,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(length3(X0),sF37),0)) ) | ~spl52_8), 14.34/2.47 inference(superposition,[],[f405,f1149])). 14.34/2.47 tff(f1149,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,sF34)) = $sum(length3(X0),sF37)) ) | ~spl52_8), 14.34/2.47 inference(superposition,[],[f432,f593])). 14.34/2.47 tff(f12479,plain,( 14.34/2.47 ~spl52_679 | ~spl52_83 | ~spl52_124 | ~spl52_678), 14.34/2.47 inference(avatar_split_clause,[],[f12474,f12416,f1362,f1028,f12476])). 14.34/2.47 tff(f12474,plain,( 14.34/2.47 ~$less($sum(sF38,sF47),0) | (~spl52_83 | ~spl52_124 | ~spl52_678)), 14.34/2.47 inference(superposition,[],[f11048,f12418])). 14.34/2.47 tff(f11048,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(length3(X0),sF47),0)) ) | (~spl52_83 | ~spl52_124)), 14.34/2.47 inference(superposition,[],[f405,f11024])). 14.34/2.47 tff(f11024,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK6))) = $sum(length3(X0),sF47)) ) | (~spl52_83 | ~spl52_124)), 14.34/2.47 inference(forward_demodulation,[],[f1147,f1364])). 14.34/2.47 tff(f1147,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK6))) = $sum(length3(X0),length4(sK6))) ) | ~spl52_83), 14.34/2.47 inference(superposition,[],[f432,f1030])). 14.34/2.47 tff(f12453,plain,( 14.34/2.47 spl52_678 | ~spl52_654), 14.34/2.47 inference(avatar_split_clause,[],[f12452,f12144,f12416])). 14.34/2.47 tff(f12144,plain,( 14.34/2.47 spl52_654 <=> ! [X0 : string2] : length3(app2(string3(sK9),X0)) = $sum(sF38,length3(X0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_654])])). 14.34/2.47 tff(f12452,plain,( 14.34/2.47 sF38 = length3(string3(sK9)) | ~spl52_654), 14.34/2.47 inference(evaluation,[],[f12451])). 14.34/2.47 tff(f12451,plain,( 14.34/2.47 length3(string3(sK9)) = $sum(sF38,0) | ~spl52_654), 14.34/2.47 inference(forward_demodulation,[],[f12356,f1863])). 14.34/2.47 tff(f1863,plain,( 14.34/2.47 ( ! [X1 : string2] : (0 = length3(string3(str1(X1,0,0)))) )), 14.34/2.47 inference(subsumption_resolution,[],[f1862,f405])). 14.34/2.47 tff(f1862,plain,( 14.34/2.47 ( ! [X1 : string2] : (0 = length3(string3(str1(X1,0,0))) | $less(length3(X1),0)) )), 14.34/2.47 inference(duplicate_literal_removal,[],[f1861])). 14.34/2.47 tff(f1861,plain,( 14.34/2.47 ( ! [X1 : string2] : ($less(length3(X1),0) | 0 = length3(string3(str1(X1,0,0))) | $less(length3(X1),0)) )), 14.34/2.47 inference(evaluation,[],[f1856])). 14.34/2.47 tff(f1856,plain,( 14.34/2.47 ( ! [X1 : string2] : ($less(length3(X1),$sum(0,0)) | 0 = length3(string3(str1(X1,0,0))) | $less(length3(X1),0)) )), 14.34/2.47 inference(interpreted_simplification,[],[f1855])). 14.34/2.47 tff(f1855,plain,( 14.34/2.47 ( ! [X1 : string2] : (0 = length3(string3(str1(X1,0,0))) | $less(0,0) | $less(length3(X1),$sum(0,0)) | $less(0,0) | $less(length3(X1),0)) )), 14.34/2.47 inference(instantiation,[],[f488])). 14.34/2.47 tff(f488,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : string2] : (length3(string3(str1(X1,X2,X0))) = X0 | $less(X2,0) | $less(length3(X1),$sum(X2,X0)) | $less(X0,0) | $less(length3(X1),X2)) )), 14.34/2.47 inference(definition_unfolding,[],[f394,f397])). 14.34/2.47 tff(f397,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (sub1(X0,X1,X2) = string3(str1(X0,X1,X2))) )), 14.34/2.47 inference(cnf_transformation,[],[f301])). 14.34/2.47 tff(f301,plain,( 14.34/2.47 ! [X0 : string2,X1 : $int,X2 : $int] : sub1(X0,X1,X2) = string3(str1(X0,X1,X2)) & ! [X3 : rope1,X4 : rope1,X5 : $int] : string3(app3(X3,X4,X5)) = app2(string3(X3),string3(X4)) & string3(emp1) = empty1), 14.34/2.47 inference(rectify,[],[f194])). 14.34/2.47 tff(f194,plain,( 14.34/2.47 ! [X4 : string2,X5 : $int,X3 : $int] : string3(str1(X4,X5,X3)) = sub1(X4,X5,X3) & ! [X1 : rope1,X0 : rope1,X2 : $int] : string3(app3(X1,X0,X2)) = app2(string3(X1),string3(X0)) & string3(emp1) = empty1), 14.34/2.47 inference(rectify,[],[f6])). 14.34/2.47 tff(f6,axiom,( 14.34/2.47 ! [X9 : rope1,X8 : rope1,X10 : $int] : string3(app3(X8,X9,X10)) = app2(string3(X8),string3(X9)) & ! [X10 : $int,X8 : string2,X9 : $int] : string3(str1(X8,X9,X10)) = sub1(X8,X9,X10) & string3(emp1) = empty1), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f394,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : string2] : (length3(sub1(X1,X2,X0)) = X0 | $less(X0,0) | $less(length3(X1),$sum(X2,X0)) | $less(X2,0) | $less(length3(X1),X2)) )), 14.34/2.47 inference(cnf_transformation,[],[f300])). 14.34/2.47 tff(f300,plain,( 14.34/2.47 ! [X0 : $int,X1 : string2,X2 : $int] : (length3(sub1(X1,X2,X0)) = X0 | $less(X0,0) | $less(length3(X1),$sum(X2,X0)) | $less(X2,0) | $less(length3(X1),X2))), 14.34/2.47 inference(rectify,[],[f255])). 14.34/2.47 tff(f255,plain,( 14.34/2.47 ! [X1 : $int,X2 : string2,X0 : $int] : (length3(sub1(X2,X0,X1)) = X1 | $less(X1,0) | $less(length3(X2),$sum(X0,X1)) | $less(X0,0) | $less(length3(X2),X0))), 14.34/2.47 inference(flattening,[],[f254])). 14.34/2.47 tff(f254,plain,( 14.34/2.47 ! [X0 : $int,X1 : $int,X2 : string2] : (((length3(sub1(X2,X0,X1)) = X1 | $less(length3(X2),$sum(X0,X1))) | ($less(X0,0) | $less(length3(X2),X0))) | $less(X1,0))), 14.34/2.47 inference(ennf_transformation,[],[f145])). 14.34/2.47 tff(f145,plain,( 14.34/2.47 ! [X0 : $int,X1 : $int,X2 : string2] : (~$less(X1,0) => ((~$less(X0,0) & ~$less(length3(X2),X0)) => (~$less(length3(X2),$sum(X0,X1)) => length3(sub1(X2,X0,X1)) = X1)))), 14.34/2.47 inference(rectify,[],[f95])). 14.34/2.47 tff(f95,plain,( 14.34/2.47 ! [X5 : $int,X6 : $int,X4 : string2] : (~$less(X6,0) => ((~$less(X5,0) & ~$less(length3(X4),X5)) => (~$less(length3(X4),$sum(X5,X6)) => length3(sub1(X4,X5,X6)) = X6)))), 14.34/2.47 inference(theory_normalization,[],[f3])). 14.34/2.47 tff(f3,axiom,( 14.34/2.47 ! [X5 : $int,X6 : $int,X4 : string2] : ($lesseq(0,X6) => (($lesseq(0,X5) & $lesseq(X5,length3(X4))) => ($lesseq($sum(X5,X6),length3(X4)) => length3(sub1(X4,X5,X6)) = X6)))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12356,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(string3(sK9)) = $sum(sF38,length3(string3(str1(X0,0,0))))) ) | ~spl52_654), 14.34/2.47 inference(superposition,[],[f12145,f2946])). 14.34/2.47 tff(f2946,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : string2] : (length3(X1) = length3(app2(X1,string3(str1(X0,0,0))))) )), 14.34/2.47 inference(evaluation,[],[f2942])). 14.34/2.47 tff(f2942,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : string2] : (length3(app2(X1,string3(str1(X0,0,0)))) = $sum(length3(X1),0)) )), 14.34/2.47 inference(superposition,[],[f432,f1863])). 14.34/2.47 tff(f12145,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(string3(sK9),X0)) = $sum(sF38,length3(X0))) ) | ~spl52_654), 14.34/2.47 inference(avatar_component_clause,[],[f12144])). 14.34/2.47 tff(f12419,plain,( 14.34/2.47 spl52_678 | ~spl52_9 | ~spl52_654), 14.34/2.47 inference(avatar_split_clause,[],[f12414,f12144,f596,f12416])). 14.34/2.47 tff(f596,plain,( 14.34/2.47 spl52_9 <=> 0 = length3(empty1)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_9])])). 14.34/2.47 tff(f12414,plain,( 14.34/2.47 sF38 = length3(string3(sK9)) | (~spl52_9 | ~spl52_654)), 14.34/2.47 inference(evaluation,[],[f12413])). 14.34/2.47 tff(f12413,plain,( 14.34/2.47 length3(string3(sK9)) = $sum(sF38,0) | (~spl52_9 | ~spl52_654)), 14.34/2.47 inference(forward_demodulation,[],[f12352,f598])). 14.34/2.47 tff(f598,plain,( 14.34/2.47 0 = length3(empty1) | ~spl52_9), 14.34/2.47 inference(avatar_component_clause,[],[f596])). 14.34/2.47 tff(f12352,plain,( 14.34/2.47 length3(string3(sK9)) = $sum(sF38,length3(empty1)) | (~spl52_9 | ~spl52_654)), 14.34/2.47 inference(superposition,[],[f12145,f1151])). 14.34/2.47 tff(f1151,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(X0) = length3(app2(X0,empty1))) ) | ~spl52_9), 14.34/2.47 inference(evaluation,[],[f1146])). 14.34/2.47 tff(f1146,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,empty1)) = $sum(length3(X0),0)) ) | ~spl52_9), 14.34/2.47 inference(superposition,[],[f432,f598])). 14.34/2.47 tff(f12349,plain,( 14.34/2.47 spl52_677 | ~spl52_289 | ~spl52_672), 14.34/2.47 inference(avatar_split_clause,[],[f12344,f12306,f3746,f12346])). 14.34/2.47 tff(f12346,plain,( 14.34/2.47 spl52_677 <=> inv1(app3(sK9,sK8,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_677])])). 14.34/2.47 tff(f3746,plain,( 14.34/2.47 spl52_289 <=> inv1(app3(sK9,sK8,$sum(sF38,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_289])])). 14.34/2.47 tff(f12306,plain,( 14.34/2.47 spl52_672 <=> 0 = $sum(sF38,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_672])])). 14.34/2.47 tff(f12344,plain,( 14.34/2.47 inv1(app3(sK9,sK8,0)) | (~spl52_289 | ~spl52_672)), 14.34/2.47 inference(superposition,[],[f3748,f12308])). 14.34/2.47 tff(f12308,plain,( 14.34/2.47 0 = $sum(sF38,sF20) | ~spl52_672), 14.34/2.47 inference(avatar_component_clause,[],[f12306])). 14.34/2.47 tff(f3748,plain,( 14.34/2.47 inv1(app3(sK9,sK8,$sum(sF38,sF20))) | ~spl52_289), 14.34/2.47 inference(avatar_component_clause,[],[f3746])). 14.34/2.47 tff(f12342,plain,( 14.34/2.47 spl52_623 | ~spl52_621), 14.34/2.47 inference(avatar_split_clause,[],[f12341,f11397,f11406])). 14.34/2.47 tff(f11406,plain,( 14.34/2.47 spl52_623 <=> ! [X0 : $int] : ($less(X0,$sum(sF40,sF47)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_623])])). 14.34/2.47 tff(f11397,plain,( 14.34/2.47 spl52_621 <=> $less(0,$sum(sF40,sF47))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_621])])). 14.34/2.47 tff(f12341,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF40,sF47))) ) | ~spl52_621), 14.34/2.47 inference(resolution,[],[f11399,f128])). 14.34/2.47 tff(f11399,plain,( 14.34/2.47 $less(0,$sum(sF40,sF47)) | ~spl52_621), 14.34/2.47 inference(avatar_component_clause,[],[f11397])). 14.34/2.47 tff(f12339,plain,( 14.34/2.47 spl52_676 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_157 | ~spl52_204 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f12334,f2832,f2590,f1795,f1286,f1036,f766,f12336])). 14.34/2.47 tff(f12336,plain,( 14.34/2.47 spl52_676 <=> inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_676])])). 14.34/2.47 tff(f766,plain,( 14.34/2.47 spl52_43 <=> inv1(sK8)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_43])])). 14.34/2.47 tff(f1036,plain,( 14.34/2.47 spl52_84 <=> length4(sK8) = length3(sF35)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_84])])). 14.34/2.47 tff(f1286,plain,( 14.34/2.47 spl52_115 <=> $less(0,length3(sF35))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_115])])). 14.34/2.47 tff(f1795,plain,( 14.34/2.47 spl52_157 <=> inv1(tb2t2(get(rope,int,sF29,t2tb(max3))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_157])])). 14.34/2.47 tff(f2590,plain,( 14.34/2.47 spl52_204 <=> $less(0,length4(tb2t2(get(rope,int,sF29,t2tb(max3)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_204])])). 14.34/2.47 tff(f12334,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_157 | ~spl52_204 | ~spl52_231)), 14.34/2.47 inference(forward_demodulation,[],[f12333,f2834])). 14.34/2.47 tff(f12333,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_157 | ~spl52_204)), 14.34/2.47 inference(subsumption_resolution,[],[f12324,f1797])). 14.34/2.47 tff(f1797,plain,( 14.34/2.47 inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | ~spl52_157), 14.34/2.47 inference(avatar_component_clause,[],[f1795])). 14.34/2.47 tff(f12324,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),length3(sF35)))) | ~inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_204)), 14.34/2.47 inference(resolution,[],[f2591,f1825])). 14.34/2.47 tff(f1825,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,sK8,$sum(length4(X0),length3(sF35))))) ) | (~spl52_43 | ~spl52_84 | ~spl52_115)), 14.34/2.47 inference(forward_demodulation,[],[f1824,f1038])). 14.34/2.47 tff(f1038,plain,( 14.34/2.47 length4(sK8) = length3(sF35) | ~spl52_84), 14.34/2.47 inference(avatar_component_clause,[],[f1036])). 14.34/2.47 tff(f1824,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | inv1(app3(X0,sK8,$sum(length4(X0),length4(sK8))))) ) | (~spl52_43 | ~spl52_84 | ~spl52_115)), 14.34/2.47 inference(subsumption_resolution,[],[f1823,f1288])). 14.34/2.47 tff(f1288,plain,( 14.34/2.47 $less(0,length3(sF35)) | ~spl52_115), 14.34/2.47 inference(avatar_component_clause,[],[f1286])). 14.34/2.47 tff(f1823,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | inv1(app3(X0,sK8,$sum(length4(X0),length4(sK8)))) | ~$less(0,length4(X0)) | ~$less(0,length3(sF35))) ) | (~spl52_43 | ~spl52_84)), 14.34/2.47 inference(forward_demodulation,[],[f1817,f1038])). 14.34/2.47 tff(f1817,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(sK8)) | ~inv1(X0) | inv1(app3(X0,sK8,$sum(length4(X0),length4(sK8)))) | ~$less(0,length4(X0))) ) | ~spl52_43), 14.34/2.47 inference(resolution,[],[f500,f768])). 14.34/2.47 tff(f768,plain,( 14.34/2.47 inv1(sK8) | ~spl52_43), 14.34/2.47 inference(avatar_component_clause,[],[f766])). 14.34/2.47 tff(f500,plain,( 14.34/2.47 ( ! [X2 : rope1,X0 : rope1] : (~inv1(X2) | ~$less(0,length4(X2)) | inv1(app3(X0,X2,$sum(length4(X0),length4(X2)))) | ~inv1(X0) | ~$less(0,length4(X0))) )), 14.34/2.47 inference(equality_resolution,[],[f382])). 14.34/2.47 tff(f382,plain,( 14.34/2.47 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (inv1(app3(X0,X2,X1)) | ~inv1(X0) | ~inv1(X2) | ~$less(0,length4(X2)) | ~$less(0,length4(X0)) | $sum(length4(X0),length4(X2)) != X1) )), 14.34/2.47 inference(cnf_transformation,[],[f296])). 14.34/2.47 tff(f296,plain,( 14.34/2.47 ! [X0 : rope1,X1 : $int,X2 : rope1] : (((inv1(X0) & inv1(X2) & $less(0,length4(X2)) & $less(0,length4(X0)) & $sum(length4(X0),length4(X2)) = X1) | ~inv1(app3(X0,X2,X1))) & (inv1(app3(X0,X2,X1)) | ~inv1(X0) | ~inv1(X2) | ~$less(0,length4(X2)) | ~$less(0,length4(X0)) | $sum(length4(X0),length4(X2)) != X1)) & ! [X3 : string2,X4 : $int,X5 : $int] : ((inv1(str1(X3,X5,X4)) | $less(length3(X3),$sum(X5,X4)) | $less(X5,0) | ~$less(X5,length3(X3)) | ~$less(0,X4)) & ((~$less(length3(X3),$sum(X5,X4)) & ~$less(X5,0) & $less(X5,length3(X3)) & $less(0,X4)) | ~inv1(str1(X3,X5,X4)))) & inv1(emp1)), 14.34/2.47 inference(rectify,[],[f295])). 14.34/2.47 tff(f295,plain,( 14.34/2.47 ! [X3 : rope1,X5 : $int,X4 : rope1] : (((inv1(X3) & inv1(X4) & $less(0,length4(X4)) & $less(0,length4(X3)) & $sum(length4(X3),length4(X4)) = X5) | ~inv1(app3(X3,X4,X5))) & (inv1(app3(X3,X4,X5)) | ~inv1(X3) | ~inv1(X4) | ~$less(0,length4(X4)) | ~$less(0,length4(X3)) | $sum(length4(X3),length4(X4)) != X5)) & ! [X0 : string2,X1 : $int,X2 : $int] : ((inv1(str1(X0,X2,X1)) | $less(length3(X0),$sum(X2,X1)) | $less(X2,0) | ~$less(X2,length3(X0)) | ~$less(0,X1)) & ((~$less(length3(X0),$sum(X2,X1)) & ~$less(X2,0) & $less(X2,length3(X0)) & $less(0,X1)) | ~inv1(str1(X0,X2,X1)))) & inv1(emp1)), 14.34/2.47 inference(flattening,[],[f294])). 14.34/2.47 tff(f294,plain,( 14.34/2.47 ! [X3 : rope1,X5 : $int,X4 : rope1] : (((inv1(X3) & inv1(X4) & $less(0,length4(X4)) & $less(0,length4(X3)) & $sum(length4(X3),length4(X4)) = X5) | ~inv1(app3(X3,X4,X5))) & (inv1(app3(X3,X4,X5)) | (~inv1(X3) | ~inv1(X4) | ~$less(0,length4(X4)) | ~$less(0,length4(X3)) | $sum(length4(X3),length4(X4)) != X5))) & ! [X0 : string2,X1 : $int,X2 : $int] : ((inv1(str1(X0,X2,X1)) | ($less(length3(X0),$sum(X2,X1)) | $less(X2,0) | ~$less(X2,length3(X0)) | ~$less(0,X1))) & ((~$less(length3(X0),$sum(X2,X1)) & ~$less(X2,0) & $less(X2,length3(X0)) & $less(0,X1)) | ~inv1(str1(X0,X2,X1)))) & inv1(emp1)), 14.34/2.47 inference(nnf_transformation,[],[f165])). 14.34/2.47 tff(f165,plain,( 14.34/2.47 ! [X3 : rope1,X5 : $int,X4 : rope1] : ((inv1(X3) & inv1(X4) & $less(0,length4(X4)) & $less(0,length4(X3)) & $sum(length4(X3),length4(X4)) = X5) <=> inv1(app3(X3,X4,X5))) & ! [X0 : string2,X1 : $int,X2 : $int] : (inv1(str1(X0,X2,X1)) <=> (~$less(length3(X0),$sum(X2,X1)) & ~$less(X2,0) & $less(X2,length3(X0)) & $less(0,X1))) & inv1(emp1)), 14.34/2.47 inference(rectify,[],[f101])). 14.34/2.47 tff(f101,plain,( 14.34/2.47 ! [X8 : string2,X10 : $int,X9 : $int] : ((~$less(X9,0) & ~$less(length3(X8),$sum(X9,X10)) & $less(0,X10) & $less(X9,length3(X8))) <=> inv1(str1(X8,X9,X10))) & ! [X8 : rope1,X9 : rope1,X10 : $int] : ((inv1(X9) & $less(0,length4(X8)) & $less(0,length4(X9)) & inv1(X8) & $sum(length4(X8),length4(X9)) = X10) <=> inv1(app3(X8,X9,X10))) & inv1(emp1)), 14.34/2.47 inference(theory_normalization,[],[f47])). 14.34/2.47 tff(f47,axiom,( 14.34/2.47 ! [X8 : string2,X10 : $int,X9 : $int] : (($lesseq(0,X9) & $lesseq($sum(X9,X10),length3(X8)) & $less(0,X10) & $less(X9,length3(X8))) <=> inv1(str1(X8,X9,X10))) & ! [X8 : rope1,X9 : rope1,X10 : $int] : ((inv1(X9) & $less(0,length4(X8)) & $less(0,length4(X9)) & inv1(X8) & $sum(length4(X8),length4(X9)) = X10) <=> inv1(app3(X8,X9,X10))) & inv1(emp1)), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f2591,plain,( 14.34/2.47 $less(0,length4(tb2t2(get(rope,int,sF29,t2tb(max3))))) | ~spl52_204), 14.34/2.47 inference(avatar_component_clause,[],[f2590])). 14.34/2.47 tff(f12332,plain,( 14.34/2.47 spl52_675 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_157 | ~spl52_204), 14.34/2.47 inference(avatar_split_clause,[],[f12327,f2590,f1795,f1362,f1128,f811,f12329])). 14.34/2.47 tff(f12329,plain,( 14.34/2.47 spl52_675 <=> inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK6,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_675])])). 14.34/2.47 tff(f811,plain,( 14.34/2.47 spl52_52 <=> inv1(sK6)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_52])])). 14.34/2.47 tff(f1128,plain,( 14.34/2.47 spl52_98 <=> $less(0,length4(sK6))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_98])])). 14.34/2.47 tff(f12327,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK6,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_157 | ~spl52_204)), 14.34/2.47 inference(subsumption_resolution,[],[f12325,f1797])). 14.34/2.47 tff(f12325,plain,( 14.34/2.47 ~inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),sK6,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_204)), 14.34/2.47 inference(resolution,[],[f2591,f1827])). 14.34/2.47 tff(f1827,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | inv1(app3(X0,sK6,$sum(length4(X0),sF47))) | ~inv1(X0)) ) | (~spl52_52 | ~spl52_98 | ~spl52_124)), 14.34/2.47 inference(forward_demodulation,[],[f1826,f1364])). 14.34/2.47 tff(f1826,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,sK6,$sum(length4(X0),length4(sK6)))) | ~inv1(X0) | ~$less(0,length4(X0))) ) | (~spl52_52 | ~spl52_98)), 14.34/2.47 inference(subsumption_resolution,[],[f1816,f1130])). 14.34/2.47 tff(f1130,plain,( 14.34/2.47 $less(0,length4(sK6)) | ~spl52_98), 14.34/2.47 inference(avatar_component_clause,[],[f1128])). 14.34/2.47 tff(f1816,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | ~$less(0,length4(sK6)) | inv1(app3(X0,sK6,$sum(length4(X0),length4(sK6))))) ) | ~spl52_52), 14.34/2.47 inference(resolution,[],[f500,f813])). 14.34/2.47 tff(f813,plain,( 14.34/2.47 inv1(sK6) | ~spl52_52), 14.34/2.47 inference(avatar_component_clause,[],[f811])). 14.34/2.47 tff(f12323,plain,( 14.34/2.47 spl52_566 | ~spl52_568), 14.34/2.47 inference(avatar_split_clause,[],[f12322,f9954,f9946])). 14.34/2.47 tff(f9946,plain,( 14.34/2.47 spl52_566 <=> ! [X0 : $int] : (~$less(X0,sF38) | $less(X0,length3(str_proj_11(sK9))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_566])])). 14.34/2.47 tff(f9954,plain,( 14.34/2.47 spl52_568 <=> $less(sF38,length3(str_proj_11(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_568])])). 14.34/2.47 tff(f12322,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF38) | $less(X0,length3(str_proj_11(sK9)))) ) | ~spl52_568), 14.34/2.47 inference(resolution,[],[f9956,f128])). 14.34/2.47 tff(f9956,plain,( 14.34/2.47 $less(sF38,length3(str_proj_11(sK9))) | ~spl52_568), 14.34/2.47 inference(avatar_component_clause,[],[f9954])). 14.34/2.47 tff(f12321,plain,( 14.34/2.47 spl52_590 | spl52_591 | spl52_198), 14.34/2.47 inference(avatar_split_clause,[],[f12318,f2543,f10667,f10664])). 14.34/2.47 tff(f10664,plain,( 14.34/2.47 spl52_590 <=> ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length4(tb2t2(get(rope,int,sF29,t2tb(2))))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_590])])). 14.34/2.47 tff(f10667,plain,( 14.34/2.47 spl52_591 <=> 0 = length4(tb2t2(get(rope,int,sF29,t2tb(2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_591])])). 14.34/2.47 tff(f2543,plain,( 14.34/2.47 spl52_198 <=> $less(0,length4(tb2t2(get(rope,int,sF29,t2tb(2)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_198])])). 14.34/2.47 tff(f12318,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length4(tb2t2(get(rope,int,sF29,t2tb(2))))) | $less(X0,0) | 0 = length4(tb2t2(get(rope,int,sF29,t2tb(2))))) ) | spl52_198), 14.34/2.47 inference(resolution,[],[f2545,f1052])). 14.34/2.47 tff(f2545,plain,( 14.34/2.47 ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(2))))) | spl52_198), 14.34/2.47 inference(avatar_component_clause,[],[f2543])). 14.34/2.47 tff(f12320,plain,( 14.34/2.47 spl52_592 | spl52_591 | spl52_198), 14.34/2.47 inference(avatar_split_clause,[],[f12319,f2543,f10667,f10672])). 14.34/2.47 tff(f10672,plain,( 14.34/2.47 spl52_592 <=> $less(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_592])])). 14.34/2.47 tff(f12319,plain,( 14.34/2.47 0 = length4(tb2t2(get(rope,int,sF29,t2tb(2)))) | $less(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),0) | spl52_198), 14.34/2.47 inference(resolution,[],[f2545,f129])). 14.34/2.47 tff(f12317,plain,( 14.34/2.47 spl52_672 | spl52_674 | spl52_665), 14.34/2.47 inference(avatar_split_clause,[],[f12304,f12252,f12314,f12306])). 14.34/2.47 tff(f12314,plain,( 14.34/2.47 spl52_674 <=> $less($sum(sF38,sF20),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_674])])). 14.34/2.47 tff(f12252,plain,( 14.34/2.47 spl52_665 <=> $less(0,$sum(sF38,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_665])])). 14.34/2.47 tff(f12304,plain,( 14.34/2.47 $less($sum(sF38,sF20),0) | 0 = $sum(sF38,sF20) | spl52_665), 14.34/2.47 inference(resolution,[],[f12254,f129])). 14.34/2.47 tff(f12254,plain,( 14.34/2.47 ~$less(0,$sum(sF38,sF20)) | spl52_665), 14.34/2.47 inference(avatar_component_clause,[],[f12252])). 14.34/2.47 tff(f12312,plain,( 14.34/2.47 spl52_672 | spl52_673 | spl52_665), 14.34/2.47 inference(avatar_split_clause,[],[f12303,f12252,f12310,f12306])). 14.34/2.47 tff(f12310,plain,( 14.34/2.47 spl52_673 <=> ! [X0 : $int] : (~$less(X0,$sum(sF38,sF20)) | $less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_673])])). 14.34/2.47 tff(f12303,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF38,sF20) | ~$less(X0,$sum(sF38,sF20)) | $less(X0,0)) ) | spl52_665), 14.34/2.47 inference(resolution,[],[f12254,f1052])). 14.34/2.47 tff(f12302,plain,( 14.34/2.47 spl52_588 | spl52_589 | spl52_194), 14.34/2.47 inference(avatar_split_clause,[],[f12300,f2523,f10657,f10652])). 14.34/2.47 tff(f10652,plain,( 14.34/2.47 spl52_588 <=> 0 = length4(tb2t2(get(rope,int,sF12,t2tb(2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_588])])). 14.34/2.47 tff(f10657,plain,( 14.34/2.47 spl52_589 <=> $less(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_589])])). 14.34/2.47 tff(f2523,plain,( 14.34/2.47 spl52_194 <=> $less(0,length4(tb2t2(get(rope,int,sF12,t2tb(2)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_194])])). 14.34/2.47 tff(f12300,plain,( 14.34/2.47 $less(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),0) | 0 = length4(tb2t2(get(rope,int,sF12,t2tb(2)))) | spl52_194), 14.34/2.47 inference(resolution,[],[f2525,f129])). 14.34/2.47 tff(f2525,plain,( 14.34/2.47 ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(2))))) | spl52_194), 14.34/2.47 inference(avatar_component_clause,[],[f2523])). 14.34/2.47 tff(f12301,plain,( 14.34/2.47 spl52_587 | spl52_588 | spl52_194), 14.34/2.47 inference(avatar_split_clause,[],[f12299,f2523,f10652,f10649])). 14.34/2.47 tff(f10649,plain,( 14.34/2.47 spl52_587 <=> ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length4(tb2t2(get(rope,int,sF12,t2tb(2))))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_587])])). 14.34/2.47 tff(f12299,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | 0 = length4(tb2t2(get(rope,int,sF12,t2tb(2)))) | ~$less(X0,length4(tb2t2(get(rope,int,sF12,t2tb(2)))))) ) | spl52_194), 14.34/2.47 inference(resolution,[],[f2525,f1052])). 14.34/2.47 tff(f12298,plain,( 14.34/2.47 spl52_671 | ~spl52_39 | ~spl52_625), 14.34/2.47 inference(avatar_split_clause,[],[f12292,f11692,f746,f12295])). 14.34/2.47 tff(f12295,plain,( 14.34/2.47 spl52_671 <=> $less(sK3(empty1,sF34),sF28)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_671])])). 14.34/2.47 tff(f746,plain,( 14.34/2.47 spl52_39 <=> $less(sF26,sF28)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_39])])). 14.34/2.47 tff(f12292,plain,( 14.34/2.47 $less(sK3(empty1,sF34),sF28) | (~spl52_39 | ~spl52_625)), 14.34/2.47 inference(resolution,[],[f11693,f1049])). 14.34/2.47 tff(f1049,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF26) | $less(X0,sF28)) ) | ~spl52_39), 14.34/2.47 inference(resolution,[],[f128,f748])). 14.34/2.47 tff(f748,plain,( 14.34/2.47 $less(sF26,sF28) | ~spl52_39), 14.34/2.47 inference(avatar_component_clause,[],[f746])). 14.34/2.47 tff(f12290,plain,( 14.34/2.47 spl52_668 | spl52_670 | spl52_209), 14.34/2.47 inference(avatar_split_clause,[],[f12276,f2678,f12288,f12279])). 14.34/2.47 tff(f12279,plain,( 14.34/2.47 spl52_668 <=> length3(str_proj_11(sK9)) = $sum(str_proj_21(sK9),sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_668])])). 14.34/2.47 tff(f12288,plain,( 14.34/2.47 spl52_670 <=> ! [X0 : $int] : ($less(X0,length3(str_proj_11(sK9))) | ~$less(X0,$sum(str_proj_21(sK9),sF38)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_670])])). 14.34/2.47 tff(f2678,plain,( 14.34/2.47 spl52_209 <=> $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_209])])). 14.34/2.47 tff(f12276,plain,( 14.34/2.47 ( ! [X0 : $int] : (length3(str_proj_11(sK9)) = $sum(str_proj_21(sK9),sF38) | $less(X0,length3(str_proj_11(sK9))) | ~$less(X0,$sum(str_proj_21(sK9),sF38))) ) | spl52_209), 14.34/2.47 inference(resolution,[],[f2679,f1052])). 14.34/2.47 tff(f2679,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | spl52_209), 14.34/2.47 inference(avatar_component_clause,[],[f2678])). 14.34/2.47 tff(f12286,plain,( 14.34/2.47 spl52_668 | spl52_669 | spl52_209), 14.34/2.47 inference(avatar_split_clause,[],[f12277,f2678,f12283,f12279])). 14.34/2.47 tff(f12283,plain,( 14.34/2.47 spl52_669 <=> $less($sum(str_proj_21(sK9),sF38),length3(str_proj_11(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_669])])). 14.34/2.47 tff(f12277,plain,( 14.34/2.47 $less($sum(str_proj_21(sK9),sF38),length3(str_proj_11(sK9))) | length3(str_proj_11(sK9)) = $sum(str_proj_21(sK9),sF38) | spl52_209), 14.34/2.47 inference(resolution,[],[f2679,f129])). 14.34/2.47 tff(f12274,plain,( 14.34/2.47 spl52_283 | ~spl52_214 | ~spl52_275), 14.34/2.47 inference(avatar_split_clause,[],[f12273,f3497,f2699,f3647])). 14.34/2.47 tff(f3647,plain,( 14.34/2.47 spl52_283 <=> inv1(app3(sK9,sK6,$sum(sF38,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_283])])). 14.34/2.47 tff(f2699,plain,( 14.34/2.47 spl52_214 <=> sF38 = length4(sK9)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_214])])). 14.34/2.47 tff(f3497,plain,( 14.34/2.47 spl52_275 <=> inv1(app3(sK9,sK6,$sum(length4(sK9),sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_275])])). 14.34/2.47 tff(f12273,plain,( 14.34/2.47 inv1(app3(sK9,sK6,$sum(sF38,sF47))) | (~spl52_214 | ~spl52_275)), 14.34/2.47 inference(forward_demodulation,[],[f3499,f2701])). 14.34/2.47 tff(f2701,plain,( 14.34/2.47 sF38 = length4(sK9) | ~spl52_214), 14.34/2.47 inference(avatar_component_clause,[],[f2699])). 14.34/2.47 tff(f3499,plain,( 14.34/2.47 inv1(app3(sK9,sK6,$sum(length4(sK9),sF47))) | ~spl52_275), 14.34/2.47 inference(avatar_component_clause,[],[f3497])). 14.34/2.47 tff(f12272,plain,( 14.34/2.47 ~spl52_665 | spl52_667 | ~spl52_289), 14.34/2.47 inference(avatar_split_clause,[],[f12268,f3746,f12270,f12252])). 14.34/2.47 tff(f12270,plain,( 14.34/2.47 spl52_667 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,app3(sK9,sK8,$sum(sF38,sF20)),$sum(length4(X0),$sum(sF38,sF20)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_667])])). 14.34/2.47 tff(f12268,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | inv1(app3(X0,app3(sK9,sK8,$sum(sF38,sF20)),$sum(length4(X0),$sum(sF38,sF20)))) | ~$less(0,$sum(sF38,sF20)) | ~inv1(X0)) ) | ~spl52_289), 14.34/2.47 inference(forward_demodulation,[],[f12267,f352])). 14.34/2.47 tff(f352,plain,( 14.34/2.47 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (length4(app3(X0,X2,X1)) = X1) )), 14.34/2.47 inference(cnf_transformation,[],[f277])). 14.34/2.47 tff(f277,plain,( 14.34/2.47 0 = length4(emp1) & ! [X0 : rope1,X1 : $int,X2 : rope1] : length4(app3(X0,X2,X1)) = X1 & ! [X3 : string2,X4 : $int,X5 : $int] : length4(str1(X3,X5,X4)) = X4), 14.34/2.47 inference(rectify,[],[f141])). 14.34/2.47 tff(f141,plain,( 14.34/2.47 0 = length4(emp1) & ! [X5 : rope1,X4 : $int,X3 : rope1] : length4(app3(X5,X3,X4)) = X4 & ! [X1 : string2,X2 : $int,X0 : $int] : length4(str1(X1,X0,X2)) = X2), 14.34/2.47 inference(rectify,[],[f32])). 14.34/2.47 tff(f32,axiom,( 14.34/2.47 ! [X9 : $int,X8 : string2,X10 : $int] : length4(str1(X8,X9,X10)) = X10 & 0 = length4(emp1) & ! [X9 : rope1,X10 : $int,X8 : rope1] : length4(app3(X8,X9,X10)) = X10), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12267,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,$sum(sF38,sF20)) | inv1(app3(X0,app3(sK9,sK8,$sum(sF38,sF20)),$sum(length4(X0),length4(app3(sK9,sK8,$sum(sF38,sF20)))))) | ~$less(0,length4(X0))) ) | ~spl52_289), 14.34/2.47 inference(forward_demodulation,[],[f12247,f352])). 14.34/2.47 tff(f12247,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | ~$less(0,length4(app3(sK9,sK8,$sum(sF38,sF20)))) | inv1(app3(X0,app3(sK9,sK8,$sum(sF38,sF20)),$sum(length4(X0),length4(app3(sK9,sK8,$sum(sF38,sF20))))))) ) | ~spl52_289), 14.34/2.47 inference(resolution,[],[f3748,f500])). 14.34/2.47 tff(f12258,plain,( 14.34/2.47 ~spl52_665 | spl52_666 | ~spl52_289), 14.34/2.47 inference(avatar_split_clause,[],[f12250,f3746,f12256,f12252])). 14.34/2.47 tff(f12256,plain,( 14.34/2.47 spl52_666 <=> ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(0,X2) | inv1(app3(app3(sK9,sK8,$sum(sF38,sF20)),str1(X0,X1,X2),$sum($sum(sF38,sF20),X2))) | $less(X1,0) | ~$less(X1,length3(X0)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_666])])). 14.34/2.47 tff(f12250,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | $less(X1,0) | inv1(app3(app3(sK9,sK8,$sum(sF38,sF20)),str1(X0,X1,X2),$sum($sum(sF38,sF20),X2))) | ~$less(0,$sum(sF38,sF20)) | ~$less(0,X2)) ) | ~spl52_289), 14.34/2.47 inference(forward_demodulation,[],[f12249,f352])). 14.34/2.47 tff(f12249,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,$sum(sF38,sF20)) | $less(X1,0) | ~$less(X1,length3(X0)) | ~$less(0,X2) | inv1(app3(app3(sK9,sK8,$sum(sF38,sF20)),str1(X0,X1,X2),$sum(length4(app3(sK9,sK8,$sum(sF38,sF20))),X2))) | $less(length3(X0),$sum(X1,X2))) ) | ~spl52_289), 14.34/2.47 inference(forward_demodulation,[],[f12246,f352])). 14.34/2.47 tff(f12246,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,length4(app3(sK9,sK8,$sum(sF38,sF20)))) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | $less(X1,0) | ~$less(0,X2) | inv1(app3(app3(sK9,sK8,$sum(sF38,sF20)),str1(X0,X1,X2),$sum(length4(app3(sK9,sK8,$sum(sF38,sF20))),X2)))) ) | ~spl52_289), 14.34/2.47 inference(resolution,[],[f3748,f1830])). 14.34/2.47 tff(f1830,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : string2,X1 : $int] : (~inv1(X3) | inv1(app3(X3,str1(X0,X1,X2),$sum(length4(X3),X2))) | ~$less(0,length4(X3)) | $less(X1,0) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0))) )), 14.34/2.47 inference(forward_demodulation,[],[f1829,f351])). 14.34/2.47 tff(f351,plain,( 14.34/2.47 ( ! [X3 : string2,X4 : $int,X5 : $int] : (length4(str1(X3,X5,X4)) = X4) )), 14.34/2.47 inference(cnf_transformation,[],[f277])). 14.34/2.47 tff(f1829,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : string2,X1 : $int] : (inv1(app3(X3,str1(X0,X1,X2),$sum(length4(X3),length4(str1(X0,X1,X2))))) | $less(X1,0) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,length4(X3)) | ~$less(X1,length3(X0)) | ~inv1(X3)) )), 14.34/2.47 inference(duplicate_literal_removal,[],[f1828])). 14.34/2.47 tff(f1828,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : string2,X1 : $int] : (~$less(0,X2) | $less(X1,0) | ~$less(0,X2) | inv1(app3(X3,str1(X0,X1,X2),$sum(length4(X3),length4(str1(X0,X1,X2))))) | ~$less(0,length4(X3)) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | ~inv1(X3)) )), 14.34/2.47 inference(forward_demodulation,[],[f1815,f351])). 14.34/2.47 tff(f1815,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : string2,X1 : $int] : (~$less(0,length4(X3)) | ~inv1(X3) | ~$less(0,length4(str1(X0,X1,X2))) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | inv1(app3(X3,str1(X0,X1,X2),$sum(length4(X3),length4(str1(X0,X1,X2))))) | $less(X1,0) | ~$less(X1,length3(X0))) )), 14.34/2.47 inference(resolution,[],[f500,f381])). 14.34/2.47 tff(f381,plain,( 14.34/2.47 ( ! [X3 : string2,X4 : $int,X5 : $int] : (inv1(str1(X3,X5,X4)) | $less(X5,0) | ~$less(0,X4) | $less(length3(X3),$sum(X5,X4)) | ~$less(X5,length3(X3))) )), 14.34/2.47 inference(cnf_transformation,[],[f296])). 14.34/2.47 tff(f12240,plain,( 14.34/2.47 ~spl52_664 | ~spl52_107 | ~spl52_145), 14.34/2.47 inference(avatar_split_clause,[],[f12233,f1684,f1229,f12236])). 14.34/2.47 tff(f12236,plain,( 14.34/2.47 spl52_664 <=> sK6 = sK9), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_664])])). 14.34/2.47 tff(f1229,plain,( 14.34/2.47 spl52_107 <=> sK6 = app3(sK8,sK9,sK7)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_107])])). 14.34/2.47 tff(f1684,plain,( 14.34/2.47 spl52_145 <=> sK9 = str1(str_proj_11(sK9),str_proj_21(sK9),sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_145])])). 14.34/2.47 tff(f12233,plain,( 14.34/2.47 sK6 != sK9 | (~spl52_107 | ~spl52_145)), 14.34/2.47 inference(superposition,[],[f12131,f1231])). 14.34/2.47 tff(f1231,plain,( 14.34/2.47 sK6 = app3(sK8,sK9,sK7) | ~spl52_107), 14.34/2.47 inference(avatar_component_clause,[],[f1229])). 14.34/2.47 tff(f12131,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : rope1,X1 : rope1] : (app3(X0,X1,X2) != sK9) ) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f480,f1686])). 14.34/2.47 tff(f1686,plain,( 14.34/2.47 sK9 = str1(str_proj_11(sK9),str_proj_21(sK9),sF38) | ~spl52_145), 14.34/2.47 inference(avatar_component_clause,[],[f1684])). 14.34/2.47 tff(f480,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : rope1,X4 : $int,X5 : rope1] : (str1(X0,X2,X3) != app3(X1,X5,X4)) )), 14.34/2.47 inference(cnf_transformation,[],[f345])). 14.34/2.47 tff(f345,plain,( 14.34/2.47 ! [X0 : string2,X1 : rope1,X2 : $int,X3 : $int,X4 : $int,X5 : rope1] : str1(X0,X2,X3) != app3(X1,X5,X4)), 14.34/2.47 inference(rectify,[],[f180])). 14.34/2.47 tff(f180,plain,( 14.34/2.47 ! [X3 : string2,X0 : rope1,X4 : $int,X2 : $int,X5 : $int,X1 : rope1] : str1(X3,X4,X2) != app3(X0,X1,X5)), 14.34/2.47 inference(rectify,[],[f10])). 14.34/2.47 tff(f10,axiom,( 14.34/2.47 ! [X12 : rope1,X13 : rope1,X2 : $int,X0 : string2,X1 : $int,X14 : $int] : str1(X0,X1,X2) != app3(X12,X13,X14)), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12239,plain,( 14.34/2.47 ~spl52_664 | ~spl52_119 | ~spl52_145), 14.34/2.47 inference(avatar_split_clause,[],[f12234,f1684,f1313,f12236])). 14.34/2.47 tff(f1313,plain,( 14.34/2.47 spl52_119 <=> sK6 = app3(sK8,sK9,sF47)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_119])])). 14.34/2.47 tff(f12234,plain,( 14.34/2.47 sK6 != sK9 | (~spl52_119 | ~spl52_145)), 14.34/2.47 inference(superposition,[],[f12131,f1315])). 14.34/2.47 tff(f1315,plain,( 14.34/2.47 sK6 = app3(sK8,sK9,sF47) | ~spl52_119), 14.34/2.47 inference(avatar_component_clause,[],[f1313])). 14.34/2.47 tff(f12232,plain,( 14.34/2.47 spl52_663 | ~spl52_89 | ~spl52_496 | ~spl52_658), 14.34/2.47 inference(avatar_split_clause,[],[f12231,f12177,f9284,f1074,f12226])). 14.34/2.47 tff(f12226,plain,( 14.34/2.47 spl52_663 <=> sF28 = $sum(sF26,sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_663])])). 14.34/2.47 tff(f1074,plain,( 14.34/2.47 spl52_89 <=> sF28 = sF44), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_89])])). 14.34/2.47 tff(f9284,plain,( 14.34/2.47 spl52_496 <=> sF44 = $sum(sF26,sF43)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_496])])). 14.34/2.47 tff(f12177,plain,( 14.34/2.47 spl52_658 <=> sF38 = sF43), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_658])])). 14.34/2.47 tff(f12231,plain,( 14.34/2.47 sF28 = $sum(sF26,sF38) | (~spl52_89 | ~spl52_496 | ~spl52_658)), 14.34/2.47 inference(forward_demodulation,[],[f12214,f1076])). 14.34/2.47 tff(f1076,plain,( 14.34/2.47 sF28 = sF44 | ~spl52_89), 14.34/2.47 inference(avatar_component_clause,[],[f1074])). 14.34/2.47 tff(f12214,plain,( 14.34/2.47 sF44 = $sum(sF26,sF38) | (~spl52_496 | ~spl52_658)), 14.34/2.47 inference(superposition,[],[f9286,f12179])). 14.34/2.47 tff(f12179,plain,( 14.34/2.47 sF38 = sF43 | ~spl52_658), 14.34/2.47 inference(avatar_component_clause,[],[f12177])). 14.34/2.47 tff(f9286,plain,( 14.34/2.47 sF44 = $sum(sF26,sF43) | ~spl52_496), 14.34/2.47 inference(avatar_component_clause,[],[f9284])). 14.34/2.47 tff(f12229,plain,( 14.34/2.47 spl52_663 | ~spl52_48 | ~spl52_89 | ~spl52_477 | ~spl52_658), 14.34/2.47 inference(avatar_split_clause,[],[f12224,f12177,f9161,f1074,f791,f12226])). 14.34/2.47 tff(f791,plain,( 14.34/2.47 spl52_48 <=> $sum(sF37,sF43) = sF44), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_48])])). 14.34/2.47 tff(f12224,plain,( 14.34/2.47 sF28 = $sum(sF26,sF38) | (~spl52_48 | ~spl52_89 | ~spl52_477 | ~spl52_658)), 14.34/2.47 inference(forward_demodulation,[],[f12223,f1076])). 14.34/2.47 tff(f12223,plain,( 14.34/2.47 sF44 = $sum(sF26,sF38) | (~spl52_48 | ~spl52_477 | ~spl52_658)), 14.34/2.47 inference(forward_demodulation,[],[f12216,f9163])). 14.34/2.47 tff(f12216,plain,( 14.34/2.47 sF44 = $sum(sF37,sF38) | (~spl52_48 | ~spl52_658)), 14.34/2.47 inference(superposition,[],[f793,f12179])). 14.34/2.47 tff(f793,plain,( 14.34/2.47 $sum(sF37,sF43) = sF44 | ~spl52_48), 14.34/2.47 inference(avatar_component_clause,[],[f791])). 14.34/2.47 tff(f12222,plain,( 14.34/2.47 ~spl52_662 | spl52_187 | ~spl52_658), 14.34/2.47 inference(avatar_split_clause,[],[f12215,f12177,f2316,f12219])). 14.34/2.47 tff(f12219,plain,( 14.34/2.47 spl52_662 <=> sF28 = sF38), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_662])])). 14.34/2.47 tff(f2316,plain,( 14.34/2.47 spl52_187 <=> sF28 = sF43), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_187])])). 14.34/2.47 tff(f12215,plain,( 14.34/2.47 sF28 != sF38 | (spl52_187 | ~spl52_658)), 14.34/2.47 inference(superposition,[],[f2317,f12179])). 14.34/2.47 tff(f2317,plain,( 14.34/2.47 sF28 != sF43 | spl52_187), 14.34/2.47 inference(avatar_component_clause,[],[f2316])). 14.34/2.47 tff(f12212,plain,( 14.34/2.47 spl52_566 | spl52_565 | spl52_567), 14.34/2.47 inference(avatar_split_clause,[],[f12211,f9949,f9939,f9946])). 14.34/2.47 tff(f9939,plain,( 14.34/2.47 spl52_565 <=> $less(length3(str_proj_11(sK9)),sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_565])])). 14.34/2.47 tff(f9949,plain,( 14.34/2.47 spl52_567 <=> sF38 = length3(str_proj_11(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_567])])). 14.34/2.47 tff(f12211,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF38) | $less(X0,length3(str_proj_11(sK9)))) ) | (spl52_565 | spl52_567)), 14.34/2.47 inference(subsumption_resolution,[],[f12207,f9950])). 14.34/2.47 tff(f9950,plain,( 14.34/2.47 sF38 != length3(str_proj_11(sK9)) | spl52_567), 14.34/2.47 inference(avatar_component_clause,[],[f9949])). 14.34/2.47 tff(f12207,plain,( 14.34/2.47 ( ! [X0 : $int] : (sF38 = length3(str_proj_11(sK9)) | ~$less(X0,sF38) | $less(X0,length3(str_proj_11(sK9)))) ) | spl52_565), 14.34/2.47 inference(resolution,[],[f9941,f1052])). 14.34/2.47 tff(f9941,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK9)),sF38) | spl52_565), 14.34/2.47 inference(avatar_component_clause,[],[f9939])). 14.34/2.47 tff(f12210,plain,( 14.34/2.47 spl52_568 | spl52_565 | spl52_567), 14.34/2.47 inference(avatar_split_clause,[],[f12209,f9949,f9939,f9954])). 14.34/2.47 tff(f12209,plain,( 14.34/2.47 $less(sF38,length3(str_proj_11(sK9))) | (spl52_565 | spl52_567)), 14.34/2.47 inference(subsumption_resolution,[],[f12208,f9950])). 14.34/2.47 tff(f12208,plain,( 14.34/2.47 sF38 = length3(str_proj_11(sK9)) | $less(sF38,length3(str_proj_11(sK9))) | spl52_565), 14.34/2.47 inference(resolution,[],[f9941,f129])). 14.34/2.47 tff(f12206,plain,( 14.34/2.47 ~spl52_661 | spl52_635 | ~spl52_644), 14.34/2.47 inference(avatar_split_clause,[],[f12201,f12062,f11952,f12203])). 14.34/2.47 tff(f12203,plain,( 14.34/2.47 spl52_661 <=> sF39 = sF41), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_661])])). 14.34/2.47 tff(f11952,plain,( 14.34/2.47 spl52_635 <=> sF41 = sF42), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_635])])). 14.34/2.47 tff(f12062,plain,( 14.34/2.47 spl52_644 <=> sF39 = sF42), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_644])])). 14.34/2.47 tff(f12201,plain,( 14.34/2.47 sF39 != sF41 | (spl52_635 | ~spl52_644)), 14.34/2.47 inference(forward_demodulation,[],[f11953,f12064])). 14.34/2.47 tff(f12064,plain,( 14.34/2.47 sF39 = sF42 | ~spl52_644), 14.34/2.47 inference(avatar_component_clause,[],[f12062])). 14.34/2.47 tff(f11953,plain,( 14.34/2.47 sF41 != sF42 | spl52_635), 14.34/2.47 inference(avatar_component_clause,[],[f11952])). 14.34/2.47 tff(f12200,plain,( 14.34/2.47 spl52_659 | spl52_660 | spl52_609), 14.34/2.47 inference(avatar_split_clause,[],[f12191,f11272,f12197,f12194])). 14.34/2.47 tff(f12194,plain,( 14.34/2.47 spl52_659 <=> ! [X0 : $int] : ($less(X0,sF28) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_659])])). 14.34/2.47 tff(f12197,plain,( 14.34/2.47 spl52_660 <=> 0 = sF28), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_660])])). 14.34/2.47 tff(f11272,plain,( 14.34/2.47 spl52_609 <=> $less(sF28,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_609])])). 14.34/2.47 tff(f12191,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF28) | 0 = sF28 | ~$less(X0,0)) ) | spl52_609), 14.34/2.47 inference(resolution,[],[f11273,f1052])). 14.34/2.47 tff(f11273,plain,( 14.34/2.47 ~$less(sF28,0) | spl52_609), 14.34/2.47 inference(avatar_component_clause,[],[f11272])). 14.34/2.47 tff(f12180,plain,( 14.34/2.47 spl52_658 | ~spl52_24 | ~spl52_69 | ~spl52_644), 14.34/2.47 inference(avatar_split_clause,[],[f12175,f12062,f917,f671,f12177])). 14.34/2.47 tff(f671,plain,( 14.34/2.47 spl52_24 <=> tb2t(sF42) = sF43), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_24])])). 14.34/2.47 tff(f917,plain,( 14.34/2.47 spl52_69 <=> sF38 = tb2t(sF39)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_69])])). 14.34/2.47 tff(f12175,plain,( 14.34/2.47 sF38 = sF43 | (~spl52_24 | ~spl52_69 | ~spl52_644)), 14.34/2.47 inference(forward_demodulation,[],[f12174,f919])). 14.34/2.47 tff(f919,plain,( 14.34/2.47 sF38 = tb2t(sF39) | ~spl52_69), 14.34/2.47 inference(avatar_component_clause,[],[f917])). 14.34/2.47 tff(f12174,plain,( 14.34/2.47 sF43 = tb2t(sF39) | (~spl52_24 | ~spl52_644)), 14.34/2.47 inference(superposition,[],[f673,f12064])). 14.34/2.47 tff(f673,plain,( 14.34/2.47 tb2t(sF42) = sF43 | ~spl52_24), 14.34/2.47 inference(avatar_component_clause,[],[f671])). 14.34/2.47 tff(f12173,plain,( 14.34/2.47 spl52_214 | spl52_209 | spl52_212 | ~spl52_117 | ~spl52_145 | spl52_211 | spl52_213), 14.34/2.47 inference(avatar_split_clause,[],[f12172,f2695,f2685,f1684,f1297,f2689,f2678,f2699])). 14.34/2.47 tff(f2689,plain,( 14.34/2.47 spl52_212 <=> $less(length3(str_proj_11(sK9)),str_proj_21(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_212])])). 14.34/2.47 tff(f1297,plain,( 14.34/2.47 spl52_117 <=> length4(sK9) = length3(string3(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_117])])). 14.34/2.47 tff(f2685,plain,( 14.34/2.47 spl52_211 <=> $less(str_proj_21(sK9),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_211])])). 14.34/2.47 tff(f2695,plain,( 14.34/2.47 spl52_213 <=> $less(sF38,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_213])])). 14.34/2.47 tff(f12172,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | sF38 = length4(sK9) | (~spl52_117 | ~spl52_145 | spl52_211 | spl52_213)), 14.34/2.47 inference(forward_demodulation,[],[f12171,f1299])). 14.34/2.47 tff(f1299,plain,( 14.34/2.47 length4(sK9) = length3(string3(sK9)) | ~spl52_117), 14.34/2.47 inference(avatar_component_clause,[],[f1297])). 14.34/2.47 tff(f12171,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | sF38 = length3(string3(sK9)) | (~spl52_145 | spl52_211 | spl52_213)), 14.34/2.47 inference(subsumption_resolution,[],[f12170,f2686])). 14.34/2.47 tff(f2686,plain,( 14.34/2.47 ~$less(str_proj_21(sK9),0) | spl52_211), 14.34/2.47 inference(avatar_component_clause,[],[f2685])). 14.34/2.47 tff(f12170,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | sF38 = length3(string3(sK9)) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | (~spl52_145 | spl52_213)), 14.34/2.47 inference(subsumption_resolution,[],[f12132,f2696])). 14.34/2.47 tff(f2696,plain,( 14.34/2.47 ~$less(sF38,0) | spl52_213), 14.34/2.47 inference(avatar_component_clause,[],[f2695])). 14.34/2.47 tff(f12132,plain,( 14.34/2.47 $less(sF38,0) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | sF38 = length3(string3(sK9)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f488,f1686])). 14.34/2.47 tff(f12169,plain,( 14.34/2.47 spl52_209 | spl52_210 | spl52_212 | ~spl52_145 | spl52_211), 14.34/2.47 inference(avatar_split_clause,[],[f12168,f2685,f1684,f2689,f2682,f2678])). 14.34/2.47 tff(f2682,plain,( 14.34/2.47 spl52_210 <=> ! [X0 : $int] : ($less(X0,0) | mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X0)) = mixfix_lbrb1(string3(sK9),X0) | ~$less(X0,sF38))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_210])])). 14.34/2.47 tff(f12168,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X0)) = mixfix_lbrb1(string3(sK9),X0) | ~$less(X0,sF38) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38))) ) | (~spl52_145 | spl52_211)), 14.34/2.47 inference(subsumption_resolution,[],[f12136,f2686])). 14.34/2.47 tff(f12136,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF38) | $less(X0,0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X0)) = mixfix_lbrb1(string3(sK9),X0) | $less(str_proj_21(sK9),0)) ) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f2021,f1686])). 14.34/2.47 tff(f2021,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,$sum(X1,X3)) = mixfix_lbrb1(string3(str1(X0,X1,X2)),X3) | $less(length3(X0),X1) | $less(X1,0) | $less(X3,0) | ~$less(X3,X2) | $less(length3(X0),$sum(X1,X2))) )), 14.34/2.47 inference(subsumption_resolution,[],[f487,f128])). 14.34/2.47 tff(f487,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int] : ($less(X3,0) | ~$less(X3,X2) | $less(length3(X0),X1) | $less(length3(X0),$sum(X1,X2)) | $less(X2,0) | $less(X1,0) | mixfix_lbrb1(X0,$sum(X1,X3)) = mixfix_lbrb1(string3(str1(X0,X1,X2)),X3)) )), 14.34/2.47 inference(definition_unfolding,[],[f373,f397])). 14.34/2.47 tff(f373,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),X1) | $less(length3(X0),$sum(X1,X2)) | ~$less(X3,X2) | mixfix_lbrb1(sub1(X0,X1,X2),X3) = mixfix_lbrb1(X0,$sum(X1,X3)) | $less(X3,0) | $less(X2,0) | $less(X1,0)) )), 14.34/2.47 inference(cnf_transformation,[],[f292])). 14.34/2.47 tff(f292,plain,( 14.34/2.47 ! [X0 : string2,X1 : $int,X2 : $int] : ($less(length3(X0),X1) | $less(length3(X0),$sum(X1,X2)) | ! [X3 : $int] : (~$less(X3,X2) | mixfix_lbrb1(sub1(X0,X1,X2),X3) = mixfix_lbrb1(X0,$sum(X1,X3)) | $less(X3,0)) | $less(X2,0) | $less(X1,0))), 14.34/2.47 inference(rectify,[],[f263])). 14.34/2.47 tff(f263,plain,( 14.34/2.47 ! [X2 : string2,X0 : $int,X1 : $int] : ($less(length3(X2),X0) | $less(length3(X2),$sum(X0,X1)) | ! [X3 : $int] : (~$less(X3,X1) | mixfix_lbrb1(sub1(X2,X0,X1),X3) = mixfix_lbrb1(X2,$sum(X0,X3)) | $less(X3,0)) | $less(X1,0) | $less(X0,0))), 14.34/2.47 inference(flattening,[],[f262])). 14.34/2.47 tff(f262,plain,( 14.34/2.47 ! [X1 : $int,X2 : string2,X0 : $int] : (((! [X3 : $int] : (mixfix_lbrb1(sub1(X2,X0,X1),X3) = mixfix_lbrb1(X2,$sum(X0,X3)) | (~$less(X3,X1) | $less(X3,0))) | $less(length3(X2),$sum(X0,X1))) | ($less(X0,0) | $less(length3(X2),X0))) | $less(X1,0))), 14.34/2.47 inference(ennf_transformation,[],[f193])). 14.34/2.47 tff(f193,plain,( 14.34/2.47 ! [X1 : $int,X2 : string2,X0 : $int] : (~$less(X1,0) => ((~$less(X0,0) & ~$less(length3(X2),X0)) => (~$less(length3(X2),$sum(X0,X1)) => ! [X3 : $int] : (($less(X3,X1) & ~$less(X3,0)) => mixfix_lbrb1(sub1(X2,X0,X1),X3) = mixfix_lbrb1(X2,$sum(X0,X3))))))), 14.34/2.47 inference(rectify,[],[f108])). 14.34/2.47 tff(f108,plain,( 14.34/2.47 ! [X5 : $int,X6 : $int,X4 : string2] : (~$less(X6,0) => ((~$less(length3(X4),X5) & ~$less(X5,0)) => (~$less(length3(X4),$sum(X5,X6)) => ! [X20 : $int] : (($less(X20,X6) & ~$less(X20,0)) => mixfix_lbrb1(sub1(X4,X5,X6),X20) = mixfix_lbrb1(X4,$sum(X5,X20))))))), 14.34/2.47 inference(theory_normalization,[],[f54])). 14.34/2.47 tff(f54,axiom,( 14.34/2.47 ! [X5 : $int,X6 : $int,X4 : string2] : ($lesseq(0,X6) => (($lesseq(X5,length3(X4)) & $lesseq(0,X5)) => ($lesseq($sum(X5,X6),length3(X4)) => ! [X20 : $int] : (($less(X20,X6) & $lesseq(0,X20)) => mixfix_lbrb1(sub1(X4,X5,X6),X20) = mixfix_lbrb1(X4,$sum(X5,X20))))))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12167,plain,( 14.34/2.47 spl52_212 | spl52_657 | spl52_209 | ~spl52_145 | spl52_211), 14.34/2.47 inference(avatar_split_clause,[],[f12163,f2685,f1684,f2678,f12165,f2689])). 14.34/2.47 tff(f12165,plain,( 14.34/2.47 spl52_657 <=> ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | ~$less(X1,length3(X0)) | $less(X1,0) | ~$less(X1,sF38) | ~infix_eqeq1(X0,string3(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_657])])). 14.34/2.47 tff(f12163,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | ~infix_eqeq1(X0,string3(sK9)) | ~$less(X1,sF38) | $less(X1,0) | ~$less(X1,length3(X0))) ) | (~spl52_145 | spl52_211)), 14.34/2.47 inference(subsumption_resolution,[],[f12137,f2686])). 14.34/2.47 tff(f12137,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | ~infix_eqeq1(X0,string3(sK9)) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~$less(X1,length3(X0)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | ~$less(X1,sF38) | $less(X1,0)) ) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f2053,f1686])). 14.34/2.47 tff(f2053,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int,X4 : string2] : (~infix_eqeq1(X4,string3(str1(X0,X1,X2))) | ~$less(X3,length3(X4)) | $less(X1,0) | $less(X3,0) | mixfix_lbrb1(X0,$sum(X1,X3)) = mixfix_lbrb1(X4,X3) | $less(length3(X0),$sum(X1,X2)) | $less(length3(X0),X1) | ~$less(X3,X2)) )), 14.34/2.47 inference(duplicate_literal_removal,[],[f2049])). 14.34/2.47 tff(f2049,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int,X4 : string2] : ($less(X3,0) | $less(X1,0) | ~infix_eqeq1(X4,string3(str1(X0,X1,X2))) | ~$less(X3,X2) | mixfix_lbrb1(X0,$sum(X1,X3)) = mixfix_lbrb1(X4,X3) | ~$less(X3,length3(X4)) | $less(length3(X0),$sum(X1,X2)) | $less(length3(X0),X1) | $less(X3,0)) )), 14.34/2.47 inference(superposition,[],[f2021,f430])). 14.34/2.47 tff(f12162,plain,( 14.34/2.47 spl52_214 | ~spl52_216 | spl52_209 | ~spl52_117 | ~spl52_145 | spl52_211 | ~spl52_215), 14.34/2.47 inference(avatar_split_clause,[],[f12161,f2708,f2685,f1684,f1297,f2678,f2716,f2699])). 14.34/2.47 tff(f2716,plain,( 14.34/2.47 spl52_216 <=> $less(str_proj_21(sK9),length3(str_proj_11(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_216])])). 14.34/2.47 tff(f2708,plain,( 14.34/2.47 spl52_215 <=> $less(0,sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_215])])). 14.34/2.47 tff(f12161,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~$less(str_proj_21(sK9),length3(str_proj_11(sK9))) | sF38 = length4(sK9) | (~spl52_117 | ~spl52_145 | spl52_211 | ~spl52_215)), 14.34/2.47 inference(forward_demodulation,[],[f12160,f1299])). 14.34/2.47 tff(f12160,plain,( 14.34/2.47 ~$less(str_proj_21(sK9),length3(str_proj_11(sK9))) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | sF38 = length3(string3(sK9)) | (~spl52_145 | spl52_211 | ~spl52_215)), 14.34/2.47 inference(subsumption_resolution,[],[f12159,f2710])). 14.34/2.47 tff(f2710,plain,( 14.34/2.47 $less(0,sF38) | ~spl52_215), 14.34/2.47 inference(avatar_component_clause,[],[f2708])). 14.34/2.47 tff(f12159,plain,( 14.34/2.47 ~$less(0,sF38) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~$less(str_proj_21(sK9),length3(str_proj_11(sK9))) | sF38 = length3(string3(sK9)) | (~spl52_145 | spl52_211)), 14.34/2.47 inference(subsumption_resolution,[],[f12133,f2686])). 14.34/2.47 tff(f12133,plain,( 14.34/2.47 ~$less(str_proj_21(sK9),length3(str_proj_11(sK9))) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~$less(0,sF38) | sF38 = length3(string3(sK9)) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f1643,f1686])). 14.34/2.47 tff(f1643,plain,( 14.34/2.47 ( ! [X2 : string2,X0 : $int,X1 : $int] : (length3(string3(str1(X2,X0,X1))) = X1 | $less(X0,0) | ~$less(0,X1) | $less(length3(X2),$sum(X0,X1)) | ~$less(X0,length3(X2))) )), 14.34/2.47 inference(forward_demodulation,[],[f1641,f351])). 14.34/2.47 tff(f1641,plain,( 14.34/2.47 ( ! [X2 : string2,X0 : $int,X1 : $int] : ($less(length3(X2),$sum(X0,X1)) | ~$less(0,X1) | length3(string3(str1(X2,X0,X1))) = length4(str1(X2,X0,X1)) | $less(X0,0) | ~$less(X0,length3(X2))) )), 14.34/2.47 inference(resolution,[],[f381,f455])). 14.34/2.47 tff(f455,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | length3(string3(X0)) = length4(X0)) )), 14.34/2.47 inference(cnf_transformation,[],[f273])). 14.34/2.47 tff(f273,plain,( 14.34/2.47 ! [X0 : rope1] : (~inv1(X0) | length3(string3(X0)) = length4(X0))), 14.34/2.47 inference(ennf_transformation,[],[f204])). 14.34/2.47 tff(f204,plain,( 14.34/2.47 ! [X0 : rope1] : (inv1(X0) => length3(string3(X0)) = length4(X0))), 14.34/2.47 inference(rectify,[],[f11])). 14.34/2.47 tff(f11,axiom,( 14.34/2.47 ! [X15 : rope1] : (inv1(X15) => length3(string3(X15)) = length4(X15))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12158,plain,( 14.34/2.47 spl52_212 | spl52_656 | spl52_209 | ~spl52_145 | spl52_211 | spl52_213), 14.34/2.47 inference(avatar_split_clause,[],[f12154,f2695,f2685,f1684,f2678,f12156,f2689])). 14.34/2.47 tff(f12154,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK9))) = $sum(length3(X0),sF38) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38))) ) | (~spl52_145 | spl52_211 | spl52_213)), 14.34/2.47 inference(subsumption_resolution,[],[f12153,f2696])). 14.34/2.47 tff(f12153,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK9))) = $sum(length3(X0),sF38) | $less(sF38,0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38))) ) | (~spl52_145 | spl52_211)), 14.34/2.47 inference(subsumption_resolution,[],[f12134,f2686])). 14.34/2.47 tff(f12134,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,string3(sK9))) = $sum(length3(X0),sF38) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(str_proj_21(sK9),0) | $less(sF38,0)) ) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f1858,f1686])). 14.34/2.47 tff(f1858,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : string2,X0 : string2,X1 : $int] : (length3(app2(X3,string3(str1(X0,X1,X2)))) = $sum(length3(X3),X2) | $less(X2,0) | $less(length3(X0),X1) | $less(X1,0) | $less(length3(X0),$sum(X1,X2))) )), 14.34/2.47 inference(superposition,[],[f432,f488])). 14.34/2.47 tff(f12152,plain,( 14.34/2.47 spl52_212 | spl52_655 | spl52_209 | ~spl52_117 | ~spl52_145 | spl52_211), 14.34/2.47 inference(avatar_split_clause,[],[f12148,f2685,f1684,f1297,f2678,f12150,f2689])). 14.34/2.47 tff(f12150,plain,( 14.34/2.47 spl52_655 <=> ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | $less(X1,0) | ~$less(X1,sF38) | ~infix_eqeq1(string3(sK9),X0) | ~$less(X1,length4(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_655])])). 14.34/2.47 tff(f12148,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | ~$less(X1,length4(sK9)) | ~infix_eqeq1(string3(sK9),X0) | ~$less(X1,sF38) | $less(X1,0)) ) | (~spl52_117 | ~spl52_145 | spl52_211)), 14.34/2.47 inference(forward_demodulation,[],[f12147,f1299])). 14.34/2.47 tff(f12147,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : (~$less(X1,sF38) | ~$less(X1,length3(string3(sK9))) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | ~infix_eqeq1(string3(sK9),X0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(X1,0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38))) ) | (~spl52_145 | spl52_211)), 14.34/2.47 inference(subsumption_resolution,[],[f12138,f2686])). 14.34/2.47 tff(f12138,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : (~$less(X1,sF38) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X1)) | $less(X1,0) | ~$less(X1,length3(string3(sK9))) | ~infix_eqeq1(string3(sK9),X0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(str_proj_21(sK9),0)) ) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f2056,f1686])). 14.34/2.47 tff(f2056,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int,X4 : string2] : (~infix_eqeq1(string3(str1(X0,X1,X2)),X4) | ~$less(X3,length3(string3(str1(X0,X1,X2)))) | $less(X3,0) | $less(X1,0) | ~$less(X3,X2) | $less(length3(X0),X1) | $less(length3(X0),$sum(X1,X2)) | mixfix_lbrb1(X0,$sum(X1,X3)) = mixfix_lbrb1(X4,X3)) )), 14.34/2.47 inference(duplicate_literal_removal,[],[f2052])). 14.34/2.47 tff(f2052,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : string2,X1 : $int,X4 : string2] : ($less(length3(X0),X1) | mixfix_lbrb1(X0,$sum(X1,X3)) = mixfix_lbrb1(X4,X3) | ~$less(X3,X2) | $less(X1,0) | ~$less(X3,length3(string3(str1(X0,X1,X2)))) | ~infix_eqeq1(string3(str1(X0,X1,X2)),X4) | $less(length3(X0),$sum(X1,X2)) | $less(X3,0) | $less(X3,0)) )), 14.34/2.47 inference(superposition,[],[f430,f2021])). 14.34/2.47 tff(f12146,plain,( 14.34/2.47 spl52_212 | spl52_209 | spl52_654 | ~spl52_145 | spl52_211 | spl52_213), 14.34/2.47 inference(avatar_split_clause,[],[f12142,f2695,f2685,f1684,f12144,f2678,f2689])). 14.34/2.47 tff(f12142,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | length3(app2(string3(sK9),X0)) = $sum(sF38,length3(X0)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9))) ) | (~spl52_145 | spl52_211 | spl52_213)), 14.34/2.47 inference(subsumption_resolution,[],[f12141,f2686])). 14.34/2.47 tff(f12141,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | length3(app2(string3(sK9),X0)) = $sum(sF38,length3(X0)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(str_proj_21(sK9),0)) ) | (~spl52_145 | spl52_213)), 14.34/2.47 inference(subsumption_resolution,[],[f12135,f2696])). 14.34/2.47 tff(f12135,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(sF38,0) | $less(str_proj_21(sK9),0) | length3(app2(string3(sK9),X0)) = $sum(sF38,length3(X0))) ) | ~spl52_145), 14.34/2.47 inference(superposition,[],[f1859,f1686])). 14.34/2.47 tff(f1859,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : string2,X0 : string2,X1 : $int] : (length3(app2(string3(str1(X0,X1,X2)),X3)) = $sum(X2,length3(X3)) | $less(length3(X0),$sum(X1,X2)) | $less(length3(X0),X1) | $less(X2,0) | $less(X1,0)) )), 14.34/2.47 inference(superposition,[],[f432,f488])). 14.34/2.47 tff(f12120,plain,( 14.34/2.47 spl52_266 | ~spl52_110), 14.34/2.47 inference(avatar_split_clause,[],[f1353,f1256,f3355])). 14.34/2.47 tff(f3355,plain,( 14.34/2.47 spl52_266 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,length4(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_266])])). 14.34/2.47 tff(f1256,plain,( 14.34/2.47 spl52_110 <=> $less(0,length4(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_110])])). 14.34/2.47 tff(f1353,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,length4(sK9))) ) | ~spl52_110), 14.34/2.47 inference(resolution,[],[f1258,f128])). 14.34/2.47 tff(f1258,plain,( 14.34/2.47 $less(0,length4(sK9)) | ~spl52_110), 14.34/2.47 inference(avatar_component_clause,[],[f1256])). 14.34/2.47 tff(f12119,plain,( 14.34/2.47 ~spl52_653 | ~spl52_10 | ~spl52_117), 14.34/2.47 inference(avatar_split_clause,[],[f4384,f1297,f601,f12116])). 14.34/2.47 tff(f12116,plain,( 14.34/2.47 spl52_653 <=> $less($sum(sF18,length4(sK9)),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_653])])). 14.34/2.47 tff(f4384,plain,( 14.34/2.47 ~$less($sum(sF18,length4(sK9)),0) | (~spl52_10 | ~spl52_117)), 14.34/2.47 inference(superposition,[],[f2972,f1299])). 14.34/2.47 tff(f12114,plain,( 14.34/2.47 spl52_259 | spl52_215 | spl52_213), 14.34/2.47 inference(avatar_split_clause,[],[f11194,f2695,f2708,f3311])). 14.34/2.47 tff(f3311,plain,( 14.34/2.47 spl52_259 <=> 0 = sF38), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_259])])). 14.34/2.47 tff(f11194,plain,( 14.34/2.47 $less(0,sF38) | 0 = sF38 | spl52_213), 14.34/2.47 inference(resolution,[],[f2696,f129])). 14.34/2.47 tff(f12113,plain,( 14.34/2.47 spl52_609 | spl52_652 | ~spl52_39), 14.34/2.47 inference(avatar_split_clause,[],[f11587,f746,f12111,f11272])). 14.34/2.47 tff(f12111,plain,( 14.34/2.47 spl52_652 <=> ! [X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X0) | $less(X0,sF28) | $less(length5(rope,t2tb1(X1)),0) | $less(sF26,sK2(sF28,X0,X1)) | sF26 = sK2(sF28,X0,X1) | infix_eqeq1(string_of_array1(X1,sF28,X0),empty1))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_652])])). 14.34/2.47 tff(f11587,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : array_rope] : ($less(sF28,0) | $less(length5(rope,t2tb1(X1)),X0) | infix_eqeq1(string_of_array1(X1,sF28,X0),empty1) | sF26 = sK2(sF28,X0,X1) | $less(sF26,sK2(sF28,X0,X1)) | $less(length5(rope,t2tb1(X1)),0) | $less(X0,sF28)) ) | ~spl52_39), 14.34/2.47 inference(resolution,[],[f1195,f420])). 14.34/2.47 tff(f420,plain,( 14.34/2.47 ( ! [X2 : array_rope,X0 : $int,X1 : $int] : (~$less(sK2(X0,X1,X2),X0) | $less(length5(rope,t2tb1(X2)),X1) | infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | $less(length5(rope,t2tb1(X2)),0) | $less(X0,0) | $less(X1,X0)) )), 14.34/2.47 inference(cnf_transformation,[],[f315])). 14.34/2.47 tff(f315,plain,( 14.34/2.47 ! [X0 : $int,X1 : $int,X2 : array_rope] : ($less(length5(rope,t2tb1(X2)),X1) | $less(length5(rope,t2tb1(X2)),0) | (emp1 != tb2t2(get2(rope,t2tb1(X2),sK2(X0,X1,X2))) & ~$less(sK2(X0,X1,X2),X0) & $less(sK2(X0,X1,X2),X1)) | infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | $less(X1,X0) | $less(X0,0))), 14.34/2.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f272,f314])). 14.34/2.47 tff(f314,plain,( 14.34/2.47 ! [X0 : $int,X1 : $int,X2 : array_rope] : (? [X3 : $int] : (emp1 != tb2t2(get2(rope,t2tb1(X2),X3)) & ~$less(X3,X0) & $less(X3,X1)) => (emp1 != tb2t2(get2(rope,t2tb1(X2),sK2(X0,X1,X2))) & ~$less(sK2(X0,X1,X2),X0) & $less(sK2(X0,X1,X2),X1)))), 14.34/2.47 introduced(choice_axiom,[])). 14.34/2.47 tff(f272,plain,( 14.34/2.47 ! [X0 : $int,X1 : $int,X2 : array_rope] : ($less(length5(rope,t2tb1(X2)),X1) | $less(length5(rope,t2tb1(X2)),0) | ? [X3 : $int] : (emp1 != tb2t2(get2(rope,t2tb1(X2),X3)) & ~$less(X3,X0) & $less(X3,X1)) | infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | $less(X1,X0) | $less(X0,0))), 14.34/2.47 inference(flattening,[],[f271])). 14.34/2.47 tff(f271,plain,( 14.34/2.47 ! [X1 : $int,X0 : $int,X2 : array_rope] : (infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | (? [X3 : $int] : (emp1 != tb2t2(get2(rope,t2tb1(X2),X3)) & (~$less(X3,X0) & $less(X3,X1))) | $less(length5(rope,t2tb1(X2)),X1) | $less(length5(rope,t2tb1(X2)),0) | $less(X1,X0) | $less(X0,0)))), 14.34/2.47 inference(ennf_transformation,[],[f217])). 14.34/2.47 tff(f217,plain,( 14.34/2.47 ! [X1 : $int,X0 : $int,X2 : array_rope] : ((! [X3 : $int] : ((~$less(X3,X0) & $less(X3,X1)) => emp1 = tb2t2(get2(rope,t2tb1(X2),X3))) & ~$less(length5(rope,t2tb1(X2)),X1) & ~$less(length5(rope,t2tb1(X2)),0) & ~$less(X1,X0) & ~$less(X0,0)) => infix_eqeq1(string_of_array1(X2,X0,X1),empty1))), 14.34/2.47 inference(rectify,[],[f121])). 14.34/2.47 tff(f121,plain,( 14.34/2.47 ! [X25 : $int,X0 : $int,X3 : array_rope] : ((~$less(X25,0) & ~$less(length5(rope,t2tb1(X3)),X0) & ! [X11 : $int] : (($less(X11,X0) & ~$less(X11,X25)) => emp1 = tb2t2(get2(rope,t2tb1(X3),X11))) & ~$less(length5(rope,t2tb1(X3)),0) & ~$less(X0,X25)) => infix_eqeq1(string_of_array1(X3,X25,X0),empty1))), 14.34/2.47 inference(theory_normalization,[],[f18])). 14.34/2.47 tff(f18,axiom,( 14.34/2.47 ! [X25 : $int,X0 : $int,X3 : array_rope] : (($lesseq(0,X25) & $lesseq(X0,length5(rope,t2tb1(X3))) & ! [X11 : $int] : (($less(X11,X0) & $lesseq(X25,X11)) => emp1 = tb2t2(get2(rope,t2tb1(X3),X11))) & $lesseq(0,length5(rope,t2tb1(X3))) & $lesseq(X25,X0)) => infix_eqeq1(string_of_array1(X3,X25,X0),empty1))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f1195,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF28) | sF26 = X0 | $less(sF26,X0)) ) | ~spl52_39), 14.34/2.47 inference(resolution,[],[f1049,f129])). 14.34/2.47 tff(f12109,plain,( 14.34/2.47 ~spl52_651 | ~spl52_10 | ~spl52_117), 14.34/2.47 inference(avatar_split_clause,[],[f5119,f1297,f601,f12106])). 14.34/2.47 tff(f12106,plain,( 14.34/2.47 spl52_651 <=> $less($sum(length4(sK9),sF18),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_651])])). 14.34/2.47 tff(f5119,plain,( 14.34/2.47 ~$less($sum(length4(sK9),sF18),0) | (~spl52_10 | ~spl52_117)), 14.34/2.47 inference(superposition,[],[f3026,f1299])). 14.34/2.47 tff(f12104,plain,( 14.34/2.47 spl52_609 | spl52_650 | ~spl52_39), 14.34/2.47 inference(avatar_split_clause,[],[f11586,f746,f12102,f11272])). 14.34/2.47 tff(f12102,plain,( 14.34/2.47 spl52_650 <=> ! [X2 : $int,X0 : array_rope,X1 : $int] : (~$less(length3(string_of_array1(X0,sF28,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | sF26 = sK1(sF28,X0,X1) | $less(length5(rope,t2tb1(X0)),0) | $less(sF26,sK1(sF28,X0,X1)) | $less(X2,sF28) | ~$less(X2,X1) | $less(length5(rope,t2tb1(X0)),X1))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_650])])). 14.34/2.47 tff(f11586,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : (~$less(length3(string_of_array1(X0,sF28,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | $less(length5(rope,t2tb1(X0)),X1) | ~$less(X2,X1) | $less(X2,sF28) | $less(sF28,0) | $less(sF26,sK1(sF28,X0,X1)) | $less(length5(rope,t2tb1(X0)),0) | sF26 = sK1(sF28,X0,X1)) ) | ~spl52_39), 14.34/2.47 inference(resolution,[],[f1195,f485])). 14.34/2.47 tff(f485,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_rope] : (~$less(sK1(X0,X1,X2),X0) | $less(X0,0) | ~$less(X3,X2) | $less(length5(rope,t2tb1(X1)),0) | $less(X3,X0) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(X3)))))) | $less(length5(rope,t2tb1(X1)),X2)) )), 14.34/2.47 inference(definition_unfolding,[],[f370,f466])). 14.34/2.47 tff(f466,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : ty,X1 : uni] : (get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))) )), 14.34/2.47 inference(cnf_transformation,[],[f337])). 14.34/2.47 tff(f337,plain,( 14.34/2.47 ! [X0 : ty,X1 : uni,X2 : $int] : get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))), 14.34/2.47 inference(rectify,[],[f192])). 14.34/2.47 tff(f192,plain,( 14.34/2.47 ! [X0 : ty,X2 : uni,X1 : $int] : get2(X0,X2,X1) = get(X0,int,elts(X0,X2),t2tb(X1))), 14.34/2.47 inference(rectify,[],[f13])). 14.34/2.47 tff(f13,axiom,( 14.34/2.47 ! [X7 : ty,X20 : $int,X19 : uni] : get2(X7,X19,X20) = get(X7,int,elts(X7,X19),t2tb(X20))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f370,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get2(rope,t2tb1(X1),X3))))) | ~$less(sK1(X0,X1,X2),X0) | ~$less(X3,X2) | $less(X3,X0) | $less(X0,0) | $less(length5(rope,t2tb1(X1)),0)) )), 14.34/2.47 inference(cnf_transformation,[],[f291])). 14.34/2.47 tff(f291,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : $int,X3 : $int] : ($less(length5(rope,t2tb1(X1)),X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get2(rope,t2tb1(X1),X3))))) | ($less(sK1(X0,X1,X2),X2) & ~$less(sK1(X0,X1,X2),X0) & ~inv1(tb2t2(get2(rope,t2tb1(X1),sK1(X0,X1,X2))))) | ~$less(X3,X2) | $less(X3,X0) | $less(X0,0) | $less(length5(rope,t2tb1(X1)),0))), 14.34/2.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f289,f290])). 14.34/2.47 tff(f290,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : $int] : (? [X4 : $int] : ($less(X4,X2) & ~$less(X4,X0) & ~inv1(tb2t2(get2(rope,t2tb1(X1),X4)))) => ($less(sK1(X0,X1,X2),X2) & ~$less(sK1(X0,X1,X2),X0) & ~inv1(tb2t2(get2(rope,t2tb1(X1),sK1(X0,X1,X2))))))), 14.34/2.47 introduced(choice_axiom,[])). 14.34/2.47 tff(f289,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : $int,X3 : $int] : ($less(length5(rope,t2tb1(X1)),X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get2(rope,t2tb1(X1),X3))))) | ? [X4 : $int] : ($less(X4,X2) & ~$less(X4,X0) & ~inv1(tb2t2(get2(rope,t2tb1(X1),X4)))) | ~$less(X3,X2) | $less(X3,X0) | $less(X0,0) | $less(length5(rope,t2tb1(X1)),0))), 14.34/2.47 inference(rectify,[],[f268])). 14.34/2.47 tff(f268,plain,( 14.34/2.47 ! [X1 : $int,X2 : array_rope,X0 : $int,X3 : $int] : ($less(length5(rope,t2tb1(X2)),X0) | ~$less(length3(string_of_array1(X2,X1,X0)),length3(string3(tb2t2(get2(rope,t2tb1(X2),X3))))) | ? [X4 : $int] : ($less(X4,X0) & ~$less(X4,X1) & ~inv1(tb2t2(get2(rope,t2tb1(X2),X4)))) | ~$less(X3,X0) | $less(X3,X1) | $less(X1,0) | $less(length5(rope,t2tb1(X2)),0))), 14.34/2.47 inference(flattening,[],[f267])). 14.34/2.47 tff(f267,plain,( 14.34/2.47 ! [X3 : $int,X0 : $int,X1 : $int,X2 : array_rope] : (~$less(length3(string_of_array1(X2,X1,X0)),length3(string3(tb2t2(get2(rope,t2tb1(X2),X3))))) | (? [X4 : $int] : (~inv1(tb2t2(get2(rope,t2tb1(X2),X4))) & (~$less(X4,X1) & $less(X4,X0))) | $less(length5(rope,t2tb1(X2)),X0) | $less(X3,X1) | ~$less(X3,X0) | $less(X1,0) | $less(length5(rope,t2tb1(X2)),0)))), 14.34/2.47 inference(ennf_transformation,[],[f147])). 14.34/2.47 tff(f147,plain,( 14.34/2.47 ! [X3 : $int,X0 : $int,X1 : $int,X2 : array_rope] : ((! [X4 : $int] : ((~$less(X4,X1) & $less(X4,X0)) => inv1(tb2t2(get2(rope,t2tb1(X2),X4)))) & ~$less(length5(rope,t2tb1(X2)),X0) & ~$less(X3,X1) & $less(X3,X0) & ~$less(X1,0) & ~$less(length5(rope,t2tb1(X2)),0)) => ~$less(length3(string_of_array1(X2,X1,X0)),length3(string3(tb2t2(get2(rope,t2tb1(X2),X3))))))), 14.34/2.47 inference(rectify,[],[f96])). 14.34/2.47 tff(f96,plain,( 14.34/2.47 ! [X0 : $int,X25 : $int,X3 : array_rope,X20 : $int] : ((! [X11 : $int] : (($less(X11,X0) & ~$less(X11,X25)) => inv1(tb2t2(get2(rope,t2tb1(X3),X11)))) & ~$less(length5(rope,t2tb1(X3)),0) & ~$less(length5(rope,t2tb1(X3)),X0) & $less(X20,X0) & ~$less(X20,X25) & ~$less(X25,0)) => ~$less(length3(string_of_array1(X3,X25,X0)),length3(string3(tb2t2(get2(rope,t2tb1(X3),X20))))))), 14.34/2.47 inference(theory_normalization,[],[f72])). 14.34/2.47 tff(f72,axiom,( 14.34/2.47 ! [X0 : $int,X25 : $int,X3 : array_rope,X20 : $int] : ((! [X11 : $int] : (($less(X11,X0) & $lesseq(X25,X11)) => inv1(tb2t2(get2(rope,t2tb1(X3),X11)))) & $lesseq(0,length5(rope,t2tb1(X3))) & $lesseq(X0,length5(rope,t2tb1(X3))) & $less(X20,X0) & $lesseq(X25,X20) & $lesseq(0,X25)) => $lesseq(length3(string3(tb2t2(get2(rope,t2tb1(X3),X20)))),length3(string_of_array1(X3,X25,X0))))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12099,plain,( 14.34/2.47 spl52_215 | spl52_146 | ~spl52_33 | ~spl52_34 | ~spl52_109 | spl52_144), 14.34/2.47 inference(avatar_split_clause,[],[f12098,f1680,f1250,f721,f716,f1688,f2708])). 14.34/2.47 tff(f1688,plain,( 14.34/2.47 spl52_146 <=> sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_146])])). 14.34/2.47 tff(f716,plain,( 14.34/2.47 spl52_33 <=> app_proj_31(sK9) = sF40), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_33])])). 14.34/2.47 tff(f721,plain,( 14.34/2.47 spl52_34 <=> str_proj_31(sK9) = sF38), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_34])])). 14.34/2.47 tff(f1250,plain,( 14.34/2.47 spl52_109 <=> inv1(sK9)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_109])])). 14.34/2.47 tff(f1680,plain,( 14.34/2.47 spl52_144 <=> emp1 = sK9), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_144])])). 14.34/2.47 tff(f12098,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | $less(0,sF38) | (~spl52_33 | ~spl52_34 | ~spl52_109 | spl52_144)), 14.34/2.47 inference(forward_demodulation,[],[f4633,f718])). 14.34/2.47 tff(f718,plain,( 14.34/2.47 app_proj_31(sK9) = sF40 | ~spl52_33), 14.34/2.47 inference(avatar_component_clause,[],[f716])). 14.34/2.47 tff(f4633,plain,( 14.34/2.47 $less(0,sF38) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | (~spl52_34 | ~spl52_109 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4632,f1681])). 14.34/2.47 tff(f1681,plain,( 14.34/2.47 emp1 != sK9 | spl52_144), 14.34/2.47 inference(avatar_component_clause,[],[f1680])). 14.34/2.47 tff(f4632,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | emp1 = sK9 | $less(0,sF38) | (~spl52_34 | ~spl52_109)), 14.34/2.47 inference(subsumption_resolution,[],[f4625,f1252])). 14.34/2.47 tff(f1252,plain,( 14.34/2.47 inv1(sK9) | ~spl52_109), 14.34/2.47 inference(avatar_component_clause,[],[f1250])). 14.34/2.47 tff(f4625,plain,( 14.34/2.47 ~inv1(sK9) | emp1 = sK9 | $less(0,sF38) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~spl52_34), 14.34/2.47 inference(superposition,[],[f1660,f723])). 14.34/2.47 tff(f723,plain,( 14.34/2.47 str_proj_31(sK9) = sF38 | ~spl52_34), 14.34/2.47 inference(avatar_component_clause,[],[f721])). 14.34/2.47 tff(f1660,plain,( 14.34/2.47 ( ! [X0 : rope1] : ($less(0,str_proj_31(X0)) | app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 | emp1 = X0 | ~inv1(X0)) )), 14.34/2.47 inference(superposition,[],[f377,f452])). 14.34/2.47 tff(f452,plain,( 14.34/2.47 ( ! [X0 : rope1] : (str1(str_proj_11(X0),str_proj_21(X0),str_proj_31(X0)) = X0 | emp1 = X0 | app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0) )), 14.34/2.47 inference(cnf_transformation,[],[f27])). 14.34/2.47 tff(f27,axiom,( 14.34/2.47 ! [X0 : rope1] : (app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 | str1(str_proj_11(X0),str_proj_21(X0),str_proj_31(X0)) = X0 | emp1 = X0)), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f377,plain,( 14.34/2.47 ( ! [X3 : string2,X4 : $int,X5 : $int] : (~inv1(str1(X3,X5,X4)) | $less(0,X4)) )), 14.34/2.47 inference(cnf_transformation,[],[f296])). 14.34/2.47 tff(f12096,plain,( 14.34/2.47 spl52_649 | ~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_254 | ~spl52_425), 14.34/2.47 inference(avatar_split_clause,[],[f12091,f6193,f3143,f1362,f1297,f1028,f12093])). 14.34/2.47 tff(f12093,plain,( 14.34/2.47 spl52_649 <=> sF47 = $sum(sF20,length4(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_649])])). 14.34/2.47 tff(f12091,plain,( 14.34/2.47 sF47 = $sum(sF20,length4(sK9)) | (~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_254 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f12090,f1364])). 14.34/2.47 tff(f12090,plain,( 14.34/2.47 length4(sK6) = $sum(sF20,length4(sK9)) | (~spl52_83 | ~spl52_117 | ~spl52_254 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f10418,f1030])). 14.34/2.47 tff(f10418,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(sF20,length4(sK9)) | (~spl52_117 | ~spl52_254 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f10381,f1299])). 14.34/2.47 tff(f10381,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(sF20,length3(string3(sK9))) | (~spl52_254 | ~spl52_425)), 14.34/2.47 inference(superposition,[],[f6194,f3145])). 14.34/2.47 tff(f12089,plain,( 14.34/2.47 ~spl52_648 | ~spl52_117 | ~spl52_425), 14.34/2.47 inference(avatar_split_clause,[],[f11658,f6193,f1297,f12086])). 14.34/2.47 tff(f12086,plain,( 14.34/2.47 spl52_648 <=> $less($sum(sF20,length4(sK9)),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_648])])). 14.34/2.47 tff(f11658,plain,( 14.34/2.47 ~$less($sum(sF20,length4(sK9)),0) | (~spl52_117 | ~spl52_425)), 14.34/2.47 inference(superposition,[],[f10393,f1299])). 14.34/2.47 tff(f12084,plain,( 14.34/2.47 spl52_214 | spl52_146 | ~spl52_33 | ~spl52_34 | spl52_144), 14.34/2.47 inference(avatar_split_clause,[],[f12083,f1680,f721,f716,f1688,f2699])). 14.34/2.47 tff(f12083,plain,( 14.34/2.47 sF38 = length4(sK9) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | (~spl52_33 | ~spl52_34 | spl52_144)), 14.34/2.47 inference(forward_demodulation,[],[f4565,f718])). 14.34/2.47 tff(f4565,plain,( 14.34/2.47 sF38 = length4(sK9) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | (~spl52_34 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4550,f1681])). 14.34/2.47 tff(f4550,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | emp1 = sK9 | sF38 = length4(sK9) | ~spl52_34), 14.34/2.47 inference(superposition,[],[f723,f1659])). 14.34/2.47 tff(f1659,plain,( 14.34/2.47 ( ! [X0 : rope1] : (str_proj_31(X0) = length4(X0) | app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 | emp1 = X0) )), 14.34/2.47 inference(superposition,[],[f351,f452])). 14.34/2.47 tff(f12082,plain,( 14.34/2.47 spl52_214 | spl52_146 | ~spl52_33 | ~spl52_34 | spl52_144), 14.34/2.47 inference(avatar_split_clause,[],[f4558,f1680,f721,f716,f1688,f2699])). 14.34/2.47 tff(f4558,plain,( 14.34/2.47 sF38 = length4(sK9) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | (~spl52_33 | ~spl52_34 | spl52_144)), 14.34/2.47 inference(forward_demodulation,[],[f4557,f718])). 14.34/2.47 tff(f4557,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | sF38 = length4(sK9) | (~spl52_34 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4545,f1681])). 14.34/2.47 tff(f4545,plain,( 14.34/2.47 emp1 = sK9 | sF38 = length4(sK9) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~spl52_34), 14.34/2.47 inference(superposition,[],[f1659,f723])). 14.34/2.47 tff(f12081,plain,( 14.34/2.47 ~spl52_647 | ~spl52_83 | ~spl52_117 | ~spl52_124), 14.34/2.47 inference(avatar_split_clause,[],[f11366,f1362,f1297,f1028,f12078])). 14.34/2.47 tff(f12078,plain,( 14.34/2.47 spl52_647 <=> $less($sum(length4(sK9),sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_647])])). 14.34/2.47 tff(f11366,plain,( 14.34/2.47 ~$less($sum(length4(sK9),sF47),0) | (~spl52_83 | ~spl52_117 | ~spl52_124)), 14.34/2.47 inference(superposition,[],[f11048,f1299])). 14.34/2.47 tff(f12076,plain,( 14.34/2.47 spl52_644 | spl52_146 | ~spl52_31 | ~spl52_33 | spl52_144), 14.34/2.47 inference(avatar_split_clause,[],[f6006,f1680,f716,f706,f1688,f12062])). 14.34/2.47 tff(f706,plain,( 14.34/2.47 spl52_31 <=> match_rope1(int,sK9,sF19,sF39,sF41) = sF42), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_31])])). 14.34/2.47 tff(f6006,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | sF39 = sF42 | (~spl52_31 | ~spl52_33 | spl52_144)), 14.34/2.47 inference(forward_demodulation,[],[f4967,f718])). 14.34/2.47 tff(f4967,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | sF39 = sF42 | (~spl52_31 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4966,f1681])). 14.34/2.47 tff(f4966,plain,( 14.34/2.47 sF39 = sF42 | emp1 = sK9 | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~spl52_31), 14.34/2.47 inference(subsumption_resolution,[],[f4959,f866])). 14.34/2.47 tff(f866,plain,( 14.34/2.47 ( ! [X0 : uni] : (sort1(int,X0)) )), 14.34/2.47 inference(superposition,[],[f414,f398])). 14.34/2.47 tff(f398,plain,( 14.34/2.47 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )), 14.34/2.47 inference(cnf_transformation,[],[f173])). 14.34/2.47 tff(f173,plain,( 14.34/2.47 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 14.34/2.47 inference(rectify,[],[f22])). 14.34/2.47 tff(f22,axiom,( 14.34/2.47 ! [X11 : uni] : t2tb(tb2t(X11)) = X11), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f414,plain,( 14.34/2.47 ( ! [X0 : $int] : (sort1(int,t2tb(X0))) )), 14.34/2.47 inference(cnf_transformation,[],[f208])). 14.34/2.47 tff(f208,plain,( 14.34/2.47 ! [X0 : $int] : sort1(int,t2tb(X0))), 14.34/2.47 inference(rectify,[],[f76])). 14.34/2.47 tff(f76,axiom,( 14.34/2.47 ! [X8 : $int] : sort1(int,t2tb(X8))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f4959,plain,( 14.34/2.47 ~sort1(int,sF39) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | sF39 = sF42 | emp1 = sK9 | ~spl52_31), 14.34/2.47 inference(superposition,[],[f1666,f708])). 14.34/2.47 tff(f708,plain,( 14.34/2.47 match_rope1(int,sK9,sF19,sF39,sF41) = sF42 | ~spl52_31), 14.34/2.47 inference(avatar_component_clause,[],[f706])). 14.34/2.47 tff(f1666,plain,( 14.34/2.47 ( ! [X2 : uni,X3 : uni,X0 : rope1,X1 : ty,X4 : uni] : (match_rope1(X1,X0,X2,X3,X4) = X3 | emp1 = X0 | ~sort1(X1,X3) | app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0) )), 14.34/2.47 inference(superposition,[],[f424,f452])). 14.34/2.47 tff(f424,plain,( 14.34/2.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni,X6 : $int,X4 : $int,X5 : string2] : (match_rope1(X0,str1(X5,X4,X6),X3,X2,X1) = X2 | ~sort1(X0,X2)) )), 14.34/2.47 inference(cnf_transformation,[],[f317])). 14.34/2.47 tff(f317,plain,( 14.34/2.47 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni,X4 : $int,X5 : string2,X6 : $int] : (match_rope1(X0,str1(X5,X4,X6),X3,X2,X1) = X2 | ~sort1(X0,X2))), 14.34/2.47 inference(rectify,[],[f240])). 14.34/2.47 tff(f240,plain,( 14.34/2.47 ! [X3 : ty,X1 : uni,X4 : uni,X6 : uni,X5 : $int,X2 : string2,X0 : $int] : (match_rope1(X3,str1(X2,X5,X0),X6,X4,X1) = X4 | ~sort1(X3,X4))), 14.34/2.47 inference(ennf_transformation,[],[f223])). 14.34/2.47 tff(f223,plain,( 14.34/2.47 ! [X5 : $int,X2 : string2,X0 : $int,X3 : ty,X1 : uni,X4 : uni,X6 : uni] : (sort1(X3,X4) => match_rope1(X3,str1(X2,X5,X0),X6,X4,X1) = X4)), 14.34/2.47 inference(rectify,[],[f74])). 14.34/2.47 tff(f74,axiom,( 14.34/2.47 ! [X2 : $int,X33 : uni,X0 : string2,X7 : ty,X31 : uni,X1 : $int,X30 : uni] : (sort1(X7,X31) => match_rope1(X7,str1(X0,X1,X2),X30,X31,X33) = X31)), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12075,plain,( 14.34/2.47 spl52_646 | spl52_609 | ~spl52_39), 14.34/2.47 inference(avatar_split_clause,[],[f11585,f746,f11272,f12073])). 14.34/2.47 tff(f12073,plain,( 14.34/2.47 spl52_646 <=> ! [X2 : $int,X0 : array_rope,X1 : array_rope] : ($less(X2,sF28) | $less(sF26,sK0(sF28,X0,X1,X2)) | $less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X1,sF28,X2),string_of_array1(X0,sF28,X2)) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | $less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X1)),X2) | sF26 = sK0(sF28,X0,X1,X2))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_646])])). 14.34/2.47 tff(f11585,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : array_rope] : ($less(X2,sF28) | sF26 = sK0(sF28,X0,X1,X2) | $less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X0)),0) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | infix_eqeq1(string_of_array1(X1,sF28,X2),string_of_array1(X0,sF28,X2)) | $less(length5(rope,t2tb1(X1)),0) | $less(sF26,sK0(sF28,X0,X1,X2)) | $less(sF28,0)) ) | ~spl52_39), 14.34/2.47 inference(resolution,[],[f1195,f355])). 14.34/2.47 tff(f355,plain,( 14.34/2.47 ( ! [X2 : array_rope,X3 : $int,X0 : $int,X1 : array_rope] : (~$less(sK0(X0,X1,X2,X3),X0) | $less(X0,0) | $less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X2)),X3) | infix_eqeq1(string_of_array1(X2,X0,X3),string_of_array1(X1,X0,X3)) | length5(rope,t2tb1(X2)) != length5(rope,t2tb1(X1)) | $less(X3,X0) | $less(length5(rope,t2tb1(X2)),0)) )), 14.34/2.47 inference(cnf_transformation,[],[f281])). 14.34/2.47 tff(f281,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : array_rope,X3 : $int] : ($less(X0,0) | length5(rope,t2tb1(X2)) != length5(rope,t2tb1(X1)) | ($less(sK0(X0,X1,X2,X3),X3) & tb2t2(get2(rope,t2tb1(X2),sK0(X0,X1,X2,X3))) != tb2t2(get2(rope,t2tb1(X1),sK0(X0,X1,X2,X3))) & ~$less(sK0(X0,X1,X2,X3),X0)) | $less(length5(rope,t2tb1(X2)),0) | $less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X2,X0,X3),string_of_array1(X1,X0,X3)) | $less(X3,X0) | $less(length5(rope,t2tb1(X2)),X3))), 14.34/2.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f279,f280])). 14.34/2.47 tff(f280,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : array_rope,X3 : $int] : (? [X4 : $int] : ($less(X4,X3) & tb2t2(get2(rope,t2tb1(X2),X4)) != tb2t2(get2(rope,t2tb1(X1),X4)) & ~$less(X4,X0)) => ($less(sK0(X0,X1,X2,X3),X3) & tb2t2(get2(rope,t2tb1(X2),sK0(X0,X1,X2,X3))) != tb2t2(get2(rope,t2tb1(X1),sK0(X0,X1,X2,X3))) & ~$less(sK0(X0,X1,X2,X3),X0)))), 14.34/2.47 introduced(choice_axiom,[])). 14.34/2.47 tff(f279,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : array_rope,X3 : $int] : ($less(X0,0) | length5(rope,t2tb1(X2)) != length5(rope,t2tb1(X1)) | ? [X4 : $int] : ($less(X4,X3) & tb2t2(get2(rope,t2tb1(X2),X4)) != tb2t2(get2(rope,t2tb1(X1),X4)) & ~$less(X4,X0)) | $less(length5(rope,t2tb1(X2)),0) | $less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X2,X0,X3),string_of_array1(X1,X0,X3)) | $less(X3,X0) | $less(length5(rope,t2tb1(X2)),X3))), 14.34/2.47 inference(rectify,[],[f234])). 14.34/2.47 tff(f234,plain,( 14.34/2.47 ! [X1 : $int,X0 : array_rope,X3 : array_rope,X2 : $int] : ($less(X1,0) | length5(rope,t2tb1(X3)) != length5(rope,t2tb1(X0)) | ? [X4 : $int] : ($less(X4,X2) & tb2t2(get2(rope,t2tb1(X3),X4)) != tb2t2(get2(rope,t2tb1(X0),X4)) & ~$less(X4,X1)) | $less(length5(rope,t2tb1(X3)),0) | $less(length5(rope,t2tb1(X0)),0) | infix_eqeq1(string_of_array1(X3,X1,X2),string_of_array1(X0,X1,X2)) | $less(X2,X1) | $less(length5(rope,t2tb1(X3)),X2))), 14.34/2.47 inference(flattening,[],[f233])). 14.34/2.47 tff(f233,plain,( 14.34/2.47 ! [X0 : array_rope,X3 : array_rope,X2 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(X3,X1,X2),string_of_array1(X0,X1,X2)) | ($less(length5(rope,t2tb1(X3)),X2) | $less(X1,0) | length5(rope,t2tb1(X3)) != length5(rope,t2tb1(X0)) | ? [X4 : $int] : (tb2t2(get2(rope,t2tb1(X3),X4)) != tb2t2(get2(rope,t2tb1(X0),X4)) & (~$less(X4,X1) & $less(X4,X2))) | $less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X3)),0) | $less(X2,X1)))), 14.34/2.47 inference(ennf_transformation,[],[f216])). 14.34/2.47 tff(f216,plain,( 14.34/2.47 ! [X0 : array_rope,X3 : array_rope,X2 : $int,X1 : $int] : ((~$less(length5(rope,t2tb1(X3)),X2) & ~$less(X1,0) & length5(rope,t2tb1(X3)) = length5(rope,t2tb1(X0)) & ! [X4 : $int] : ((~$less(X4,X1) & $less(X4,X2)) => tb2t2(get2(rope,t2tb1(X3),X4)) = tb2t2(get2(rope,t2tb1(X0),X4))) & ~$less(length5(rope,t2tb1(X0)),0) & ~$less(length5(rope,t2tb1(X3)),0) & ~$less(X2,X1)) => infix_eqeq1(string_of_array1(X3,X1,X2),string_of_array1(X0,X1,X2)))), 14.34/2.47 inference(rectify,[],[f120])). 14.34/2.47 tff(f120,plain,( 14.34/2.47 ! [X27 : array_rope,X25 : $int,X0 : $int,X26 : array_rope] : ((~$less(length5(rope,t2tb1(X27)),0) & ! [X11 : $int] : (($less(X11,X0) & ~$less(X11,X25)) => tb2t2(get2(rope,t2tb1(X26),X11)) = tb2t2(get2(rope,t2tb1(X27),X11))) & length5(rope,t2tb1(X26)) = length5(rope,t2tb1(X27)) & ~$less(length5(rope,t2tb1(X26)),X0) & ~$less(X0,X25) & ~$less(X25,0) & ~$less(length5(rope,t2tb1(X26)),0)) => infix_eqeq1(string_of_array1(X26,X25,X0),string_of_array1(X27,X25,X0)))), 14.34/2.47 inference(theory_normalization,[],[f23])). 14.34/2.47 tff(f23,axiom,( 14.34/2.47 ! [X27 : array_rope,X25 : $int,X0 : $int,X26 : array_rope] : (($lesseq(0,length5(rope,t2tb1(X27))) & ! [X11 : $int] : (($less(X11,X0) & $lesseq(X25,X11)) => tb2t2(get2(rope,t2tb1(X26),X11)) = tb2t2(get2(rope,t2tb1(X27),X11))) & length5(rope,t2tb1(X26)) = length5(rope,t2tb1(X27)) & $lesseq(X0,length5(rope,t2tb1(X26))) & $lesseq(X25,X0) & $lesseq(0,X25) & $lesseq(0,length5(rope,t2tb1(X26)))) => infix_eqeq1(string_of_array1(X26,X25,X0),string_of_array1(X27,X25,X0)))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f12071,plain,( 14.34/2.47 spl52_146 | ~spl52_209 | ~spl52_33 | ~spl52_34 | ~spl52_109 | spl52_144), 14.34/2.47 inference(avatar_split_clause,[],[f4950,f1680,f1250,f721,f716,f2678,f1688])). 14.34/2.47 tff(f4950,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | (~spl52_33 | ~spl52_34 | ~spl52_109 | spl52_144)), 14.34/2.47 inference(forward_demodulation,[],[f4949,f718])). 14.34/2.47 tff(f4949,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | (~spl52_34 | ~spl52_109 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4948,f1252])). 14.34/2.47 tff(f4948,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~inv1(sK9) | (~spl52_34 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4926,f1681])). 14.34/2.47 tff(f4926,plain,( 14.34/2.47 emp1 = sK9 | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~inv1(sK9) | ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~spl52_34), 14.34/2.47 inference(superposition,[],[f1663,f723])). 14.34/2.47 tff(f1663,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(length3(str_proj_11(X0)),$sum(str_proj_21(X0),str_proj_31(X0))) | emp1 = X0 | app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 | ~inv1(X0)) )), 14.34/2.47 inference(superposition,[],[f380,f452])). 14.34/2.47 tff(f380,plain,( 14.34/2.47 ( ! [X3 : string2,X4 : $int,X5 : $int] : (~inv1(str1(X3,X5,X4)) | ~$less(length3(X3),$sum(X5,X4))) )), 14.34/2.47 inference(cnf_transformation,[],[f296])). 14.34/2.47 tff(f12070,plain,( 14.34/2.47 ~spl52_645 | ~spl52_8 | ~spl52_117 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f10714,f9161,f1297,f591,f12067])). 14.34/2.47 tff(f12067,plain,( 14.34/2.47 spl52_645 <=> $less($sum(sF26,length4(sK9)),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_645])])). 14.34/2.47 tff(f10714,plain,( 14.34/2.47 ~$less($sum(sF26,length4(sK9)),0) | (~spl52_8 | ~spl52_117 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f9169,f1299])). 14.34/2.47 tff(f9169,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(sF26,length3(X0)),0)) ) | (~spl52_8 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f2991,f9163])). 14.34/2.47 tff(f2991,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(sF37,length3(X0)),0)) ) | ~spl52_8), 14.34/2.47 inference(superposition,[],[f405,f1145])). 14.34/2.47 tff(f1145,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(sF34,X0)) = $sum(sF37,length3(X0))) ) | ~spl52_8), 14.34/2.47 inference(superposition,[],[f432,f593])). 14.34/2.47 tff(f12065,plain,( 14.34/2.47 spl52_644 | spl52_146 | ~spl52_31 | ~spl52_33 | spl52_144), 14.34/2.47 inference(avatar_split_clause,[],[f6000,f1680,f716,f706,f1688,f12062])). 14.34/2.47 tff(f6000,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | sF39 = sF42 | (~spl52_31 | ~spl52_33 | spl52_144)), 14.34/2.47 inference(forward_demodulation,[],[f4981,f718])). 14.34/2.47 tff(f4981,plain,( 14.34/2.47 sF39 = sF42 | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | (~spl52_31 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4980,f866])). 14.34/2.47 tff(f4980,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~sort1(int,sF39) | sF39 = sF42 | (~spl52_31 | spl52_144)), 14.34/2.47 inference(subsumption_resolution,[],[f4965,f1681])). 14.34/2.47 tff(f4965,plain,( 14.34/2.47 emp1 = sK9 | sF39 = sF42 | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | ~sort1(int,sF39) | ~spl52_31), 14.34/2.47 inference(superposition,[],[f708,f1666])). 14.34/2.47 tff(f12060,plain,( 14.34/2.47 spl52_643 | ~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f12055,f2832,f1286,f1256,f1250,f1036,f766,f12057])). 14.34/2.47 tff(f12057,plain,( 14.34/2.47 spl52_643 <=> inv1(app3(sK9,sK8,$sum(length4(sK9),sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_643])])). 14.34/2.47 tff(f12055,plain,( 14.34/2.47 inv1(app3(sK9,sK8,$sum(length4(sK9),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_231)), 14.34/2.47 inference(forward_demodulation,[],[f3852,f2834])). 14.34/2.47 tff(f3852,plain,( 14.34/2.47 inv1(app3(sK9,sK8,$sum(length4(sK9),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115)), 14.34/2.47 inference(subsumption_resolution,[],[f3828,f1252])). 14.34/2.47 tff(f3828,plain,( 14.34/2.47 inv1(app3(sK9,sK8,$sum(length4(sK9),length3(sF35)))) | ~inv1(sK9) | (~spl52_43 | ~spl52_84 | ~spl52_110 | ~spl52_115)), 14.34/2.47 inference(resolution,[],[f1825,f1258])). 14.34/2.47 tff(f12054,plain,( 14.34/2.47 ~spl52_642 | ~spl52_8 | ~spl52_117 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f10746,f9161,f1297,f591,f12051])). 14.34/2.47 tff(f12051,plain,( 14.34/2.47 spl52_642 <=> $less($sum(length4(sK9),sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_642])])). 14.34/2.47 tff(f10746,plain,( 14.34/2.47 ~$less($sum(length4(sK9),sF26),0) | (~spl52_8 | ~spl52_117 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f9170,f1299])). 14.34/2.47 tff(f9170,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less($sum(length3(X0),sF26),0)) ) | (~spl52_8 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f3063,f9163])). 14.34/2.47 tff(f12049,plain,( 14.34/2.47 ~spl52_641 | ~spl52_83 | ~spl52_117 | ~spl52_124), 14.34/2.47 inference(avatar_split_clause,[],[f10993,f1362,f1297,f1028,f12046])). 14.34/2.47 tff(f12046,plain,( 14.34/2.47 spl52_641 <=> $less($sum(sF47,length4(sK9)),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_641])])). 14.34/2.47 tff(f10993,plain,( 14.34/2.47 ~$less($sum(sF47,length4(sK9)),0) | (~spl52_83 | ~spl52_117 | ~spl52_124)), 14.34/2.47 inference(superposition,[],[f10887,f1299])). 14.34/2.47 tff(f12044,plain,( 14.34/2.47 spl52_498 | ~spl52_609 | ~spl52_638), 14.34/2.47 inference(avatar_contradiction_clause,[],[f12043])). 14.34/2.47 tff(f12043,plain,( 14.34/2.47 $false | (spl52_498 | ~spl52_609 | ~spl52_638)), 14.34/2.47 inference(subsumption_resolution,[],[f12042,f11274])). 14.34/2.47 tff(f11274,plain,( 14.34/2.47 $less(sF28,0) | ~spl52_609), 14.34/2.47 inference(avatar_component_clause,[],[f11272])). 14.34/2.47 tff(f12042,plain,( 14.34/2.47 ~$less(sF28,0) | (spl52_498 | ~spl52_638)), 14.34/2.47 inference(superposition,[],[f9296,f11999])). 14.34/2.47 tff(f11999,plain,( 14.34/2.47 sF28 = $sum(sF26,sF40) | ~spl52_638), 14.34/2.47 inference(avatar_component_clause,[],[f11997])). 14.34/2.47 tff(f11997,plain,( 14.34/2.47 spl52_638 <=> sF28 = $sum(sF26,sF40)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_638])])). 14.34/2.47 tff(f9296,plain,( 14.34/2.47 ~$less($sum(sF26,sF40),0) | spl52_498), 14.34/2.47 inference(avatar_component_clause,[],[f9294])). 14.34/2.47 tff(f9294,plain,( 14.34/2.47 spl52_498 <=> $less($sum(sF26,sF40),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_498])])). 14.34/2.47 tff(f12031,plain,( 14.34/2.47 spl52_640 | ~spl52_628 | ~spl52_629), 14.34/2.47 inference(avatar_split_clause,[],[f12004,f11896,f11704,f12028])). 14.34/2.47 tff(f12028,plain,( 14.34/2.47 spl52_640 <=> $less(sF26,sF18)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_640])])). 14.34/2.47 tff(f11896,plain,( 14.34/2.47 spl52_629 <=> sF26 = sK3(empty1,sF34)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_629])])). 14.34/2.47 tff(f12004,plain,( 14.34/2.47 $less(sF26,sF18) | (~spl52_628 | ~spl52_629)), 14.34/2.47 inference(superposition,[],[f11705,f11898])). 14.34/2.47 tff(f11898,plain,( 14.34/2.47 sF26 = sK3(empty1,sF34) | ~spl52_629), 14.34/2.47 inference(avatar_component_clause,[],[f11896])). 14.34/2.47 tff(f12015,plain,( 14.34/2.47 ~spl52_639 | spl52_219 | ~spl52_629), 14.34/2.47 inference(avatar_split_clause,[],[f12006,f11896,f2743,f12012])). 14.34/2.47 tff(f12012,plain,( 14.34/2.47 spl52_639 <=> mixfix_lbrb1(sF34,sF26) = mixfix_lbrb1(empty1,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_639])])). 14.34/2.47 tff(f12006,plain,( 14.34/2.47 mixfix_lbrb1(sF34,sF26) != mixfix_lbrb1(empty1,sF26) | (spl52_219 | ~spl52_629)), 14.34/2.47 inference(superposition,[],[f2745,f11898])). 14.34/2.47 tff(f2745,plain,( 14.34/2.47 mixfix_lbrb1(sF34,sK3(empty1,sF34)) != mixfix_lbrb1(empty1,sK3(empty1,sF34)) | spl52_219), 14.34/2.47 inference(avatar_component_clause,[],[f2743])). 14.34/2.47 tff(f12003,plain,( 14.34/2.47 spl52_638 | ~spl52_89 | ~spl52_496 | ~spl52_636), 14.34/2.47 inference(avatar_split_clause,[],[f12002,f11970,f9284,f1074,f11997])). 14.34/2.47 tff(f11970,plain,( 14.34/2.47 spl52_636 <=> sF40 = sF43), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_636])])). 14.34/2.47 tff(f12002,plain,( 14.34/2.47 sF28 = $sum(sF26,sF40) | (~spl52_89 | ~spl52_496 | ~spl52_636)), 14.34/2.47 inference(forward_demodulation,[],[f11985,f1076])). 14.34/2.47 tff(f11985,plain,( 14.34/2.47 sF44 = $sum(sF26,sF40) | (~spl52_496 | ~spl52_636)), 14.34/2.47 inference(superposition,[],[f9286,f11972])). 14.34/2.47 tff(f11972,plain,( 14.34/2.47 sF40 = sF43 | ~spl52_636), 14.34/2.47 inference(avatar_component_clause,[],[f11970])). 14.34/2.47 tff(f12000,plain,( 14.34/2.47 spl52_638 | ~spl52_48 | ~spl52_89 | ~spl52_477 | ~spl52_636), 14.34/2.47 inference(avatar_split_clause,[],[f11995,f11970,f9161,f1074,f791,f11997])). 14.34/2.47 tff(f11995,plain,( 14.34/2.47 sF28 = $sum(sF26,sF40) | (~spl52_48 | ~spl52_89 | ~spl52_477 | ~spl52_636)), 14.34/2.47 inference(forward_demodulation,[],[f11994,f1076])). 14.34/2.47 tff(f11994,plain,( 14.34/2.47 sF44 = $sum(sF26,sF40) | (~spl52_48 | ~spl52_477 | ~spl52_636)), 14.34/2.47 inference(forward_demodulation,[],[f11987,f9163])). 14.34/2.47 tff(f11987,plain,( 14.34/2.47 sF44 = $sum(sF37,sF40) | (~spl52_48 | ~spl52_636)), 14.34/2.47 inference(superposition,[],[f793,f11972])). 14.34/2.47 tff(f11993,plain,( 14.34/2.47 ~spl52_637 | spl52_187 | ~spl52_636), 14.34/2.47 inference(avatar_split_clause,[],[f11986,f11970,f2316,f11990])). 14.34/2.47 tff(f11990,plain,( 14.34/2.47 spl52_637 <=> sF28 = sF40), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_637])])). 14.34/2.47 tff(f11986,plain,( 14.34/2.47 sF28 != sF40 | (spl52_187 | ~spl52_636)), 14.34/2.47 inference(superposition,[],[f2317,f11972])). 14.34/2.47 tff(f11973,plain,( 14.34/2.47 spl52_636 | ~spl52_24 | ~spl52_82 | ~spl52_635), 14.34/2.47 inference(avatar_split_clause,[],[f11968,f11952,f1017,f671,f11970])). 14.34/2.47 tff(f1017,plain,( 14.34/2.47 spl52_82 <=> sF40 = tb2t(sF41)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_82])])). 14.34/2.47 tff(f11968,plain,( 14.34/2.47 sF40 = sF43 | (~spl52_24 | ~spl52_82 | ~spl52_635)), 14.34/2.47 inference(forward_demodulation,[],[f11967,f1019])). 14.34/2.47 tff(f1019,plain,( 14.34/2.47 sF40 = tb2t(sF41) | ~spl52_82), 14.34/2.47 inference(avatar_component_clause,[],[f1017])). 14.34/2.47 tff(f11967,plain,( 14.34/2.47 sF43 = tb2t(sF41) | (~spl52_24 | ~spl52_635)), 14.34/2.47 inference(superposition,[],[f673,f11954])). 14.34/2.47 tff(f11954,plain,( 14.34/2.47 sF41 = sF42 | ~spl52_635), 14.34/2.47 inference(avatar_component_clause,[],[f11952])). 14.34/2.47 tff(f11955,plain,( 14.34/2.47 spl52_635 | ~spl52_31 | ~spl52_146), 14.34/2.47 inference(avatar_split_clause,[],[f11950,f1688,f706,f11952])). 14.34/2.47 tff(f11950,plain,( 14.34/2.47 sF41 = sF42 | (~spl52_31 | ~spl52_146)), 14.34/2.47 inference(subsumption_resolution,[],[f11946,f866])). 14.34/2.47 tff(f11946,plain,( 14.34/2.47 sF41 = sF42 | ~sort1(int,sF41) | (~spl52_31 | ~spl52_146)), 14.34/2.47 inference(superposition,[],[f3797,f708])). 14.34/2.47 tff(f3797,plain,( 14.34/2.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (match_rope1(X0,sK9,X1,X2,X3) = X3 | ~sort1(X0,X3)) ) | ~spl52_146), 14.34/2.47 inference(superposition,[],[f362,f1690])). 14.34/2.47 tff(f1690,plain,( 14.34/2.47 sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | ~spl52_146), 14.34/2.47 inference(avatar_component_clause,[],[f1688])). 14.34/2.47 tff(f362,plain,( 14.34/2.47 ( ! [X2 : rope1,X3 : uni,X0 : uni,X1 : uni,X6 : ty,X4 : $int,X5 : rope1] : (match_rope1(X6,app3(X5,X2,X4),X1,X3,X0) = X0 | ~sort1(X6,X0)) )), 14.34/2.47 inference(cnf_transformation,[],[f285])). 14.34/2.47 tff(f285,plain,( 14.34/2.47 ! [X0 : uni,X1 : uni,X2 : rope1,X3 : uni,X4 : $int,X5 : rope1,X6 : ty] : (match_rope1(X6,app3(X5,X2,X4),X1,X3,X0) = X0 | ~sort1(X6,X0))), 14.34/2.47 inference(rectify,[],[f266])). 14.34/2.47 tff(f266,plain,( 14.34/2.47 ! [X2 : uni,X1 : uni,X6 : rope1,X3 : uni,X0 : $int,X5 : rope1,X4 : ty] : (match_rope1(X4,app3(X5,X6,X0),X1,X3,X2) = X2 | ~sort1(X4,X2))), 14.34/2.47 inference(ennf_transformation,[],[f150])). 14.34/2.47 tff(f150,plain,( 14.34/2.47 ! [X4 : ty,X0 : $int,X5 : rope1,X6 : rope1,X1 : uni,X2 : uni,X3 : uni] : (sort1(X4,X2) => match_rope1(X4,app3(X5,X6,X0),X1,X3,X2) = X2)), 14.34/2.47 inference(rectify,[],[f84])). 14.34/2.47 tff(f84,axiom,( 14.34/2.47 ! [X2 : $int,X30 : uni,X33 : uni,X31 : uni,X7 : ty,X0 : rope1,X1 : rope1] : (sort1(X7,X33) => match_rope1(X7,app3(X0,X1,X2),X30,X31,X33) = X33)), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f11924,plain,( 14.34/2.47 ~spl52_218 | spl52_67 | spl52_91 | spl52_628), 14.34/2.47 inference(avatar_split_clause,[],[f11908,f11704,f1083,f904,f2735])). 14.34/2.47 tff(f904,plain,( 14.34/2.47 spl52_67 <=> $less(sF18,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_67])])). 14.34/2.47 tff(f1083,plain,( 14.34/2.47 spl52_91 <=> 0 = sF18), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_91])])). 14.34/2.47 tff(f11908,plain,( 14.34/2.47 ~$less(sK3(empty1,sF34),0) | (spl52_67 | spl52_91 | spl52_628)), 14.34/2.47 inference(resolution,[],[f11706,f3307])). 14.34/2.47 tff(f3307,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF18) | ~$less(X0,0)) ) | (spl52_67 | spl52_91)), 14.34/2.47 inference(subsumption_resolution,[],[f3300,f1084])). 14.34/2.47 tff(f1084,plain,( 14.34/2.47 0 != sF18 | spl52_91), 14.34/2.47 inference(avatar_component_clause,[],[f1083])). 14.34/2.47 tff(f3300,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | 0 = sF18 | $less(X0,sF18)) ) | spl52_67), 14.34/2.47 inference(resolution,[],[f1052,f906])). 14.34/2.47 tff(f906,plain,( 14.34/2.47 ~$less(sF18,0) | spl52_67), 14.34/2.47 inference(avatar_component_clause,[],[f904])). 14.34/2.47 tff(f11706,plain,( 14.34/2.47 ~$less(sK3(empty1,sF34),sF18) | spl52_628), 14.34/2.47 inference(avatar_component_clause,[],[f11704])). 14.34/2.47 tff(f11923,plain,( 14.34/2.47 spl52_634 | spl52_633 | spl52_628), 14.34/2.47 inference(avatar_split_clause,[],[f11910,f11704,f11915,f11920])). 14.34/2.47 tff(f11920,plain,( 14.34/2.47 spl52_634 <=> $less(sF18,sK3(empty1,sF34))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_634])])). 14.34/2.47 tff(f11915,plain,( 14.34/2.47 spl52_633 <=> sF18 = sK3(empty1,sF34)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_633])])). 14.34/2.47 tff(f11910,plain,( 14.34/2.47 sF18 = sK3(empty1,sF34) | $less(sF18,sK3(empty1,sF34)) | spl52_628), 14.34/2.47 inference(resolution,[],[f11706,f129])). 14.34/2.47 tff(f11918,plain,( 14.34/2.47 spl52_632 | spl52_633 | spl52_628), 14.34/2.47 inference(avatar_split_clause,[],[f11909,f11704,f11915,f11912])). 14.34/2.47 tff(f11912,plain,( 14.34/2.47 spl52_632 <=> ! [X0 : $int] : (~$less(X0,sF18) | $less(X0,sK3(empty1,sF34)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_632])])). 14.34/2.47 tff(f11909,plain,( 14.34/2.47 ( ! [X0 : $int] : (sF18 = sK3(empty1,sF34) | ~$less(X0,sF18) | $less(X0,sK3(empty1,sF34))) ) | spl52_628), 14.34/2.47 inference(resolution,[],[f11706,f1052])). 14.34/2.47 tff(f11907,plain,( 14.34/2.47 spl52_629 | spl52_631 | spl52_625), 14.34/2.47 inference(avatar_split_clause,[],[f11893,f11692,f11905,f11896])). 14.34/2.47 tff(f11905,plain,( 14.34/2.47 spl52_631 <=> ! [X0 : $int] : ($less(X0,sK3(empty1,sF34)) | ~$less(X0,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_631])])). 14.34/2.47 tff(f11893,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sK3(empty1,sF34)) | sF26 = sK3(empty1,sF34) | ~$less(X0,sF26)) ) | spl52_625), 14.34/2.47 inference(resolution,[],[f11694,f1052])). 14.34/2.47 tff(f11694,plain,( 14.34/2.47 ~$less(sK3(empty1,sF34),sF26) | spl52_625), 14.34/2.47 inference(avatar_component_clause,[],[f11692])). 14.34/2.47 tff(f11903,plain,( 14.34/2.47 spl52_629 | spl52_630 | spl52_625), 14.34/2.47 inference(avatar_split_clause,[],[f11894,f11692,f11900,f11896])). 14.34/2.47 tff(f11900,plain,( 14.34/2.47 spl52_630 <=> $less(sF26,sK3(empty1,sF34))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_630])])). 14.34/2.47 tff(f11894,plain,( 14.34/2.47 sF26 = sK3(empty1,sF34) | $less(sF26,sK3(empty1,sF34)) | spl52_625), 14.34/2.47 inference(resolution,[],[f11694,f129])). 14.34/2.47 tff(f11707,plain,( 14.34/2.47 ~spl52_627 | spl52_218 | ~spl52_628 | ~spl52_10 | ~spl52_100 | spl52_219), 14.34/2.47 inference(avatar_split_clause,[],[f11682,f2743,f1154,f601,f11704,f2735,f11700])). 14.34/2.47 tff(f11682,plain,( 14.34/2.47 mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(sF17,sK3(empty1,sF34)) | ~$less(sK3(empty1,sF34),sF18) | $less(sK3(empty1,sF34),0) | (~spl52_10 | ~spl52_100 | spl52_219)), 14.34/2.47 inference(superposition,[],[f2745,f1573])). 14.34/2.47 tff(f11698,plain,( 14.34/2.47 ~spl52_625 | spl52_218 | spl52_626 | ~spl52_8 | spl52_219 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f11690,f9161,f2743,f591,f11696,f2735,f11692])). 14.34/2.47 tff(f11696,plain,( 14.34/2.47 spl52_626 <=> ! [X0 : string2] : (~infix_eqeq1(sF34,X0) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(X0,sK3(empty1,sF34)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_626])])). 14.34/2.47 tff(f11690,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less(sK3(empty1,sF34),sF26) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(X0,sK3(empty1,sF34))) ) | (~spl52_8 | spl52_219 | ~spl52_477)), 14.34/2.47 inference(forward_demodulation,[],[f11689,f9163])). 14.34/2.47 tff(f11689,plain,( 14.34/2.47 ( ! [X0 : string2] : (~$less(sK3(empty1,sF34),sF37) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0)) ) | (~spl52_8 | spl52_219)), 14.34/2.47 inference(forward_demodulation,[],[f11684,f593])). 14.34/2.47 tff(f11684,plain,( 14.34/2.47 ( ! [X0 : string2] : (~infix_eqeq1(sF34,X0) | $less(sK3(empty1,sF34),0) | ~$less(sK3(empty1,sF34),length3(sF34)) | mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(X0,sK3(empty1,sF34))) ) | spl52_219), 14.34/2.47 inference(superposition,[],[f2745,f430])). 14.34/2.47 tff(f11688,plain,( 14.34/2.47 spl52_218 | spl52_624 | spl52_219), 14.34/2.47 inference(avatar_split_clause,[],[f11683,f2743,f11686,f2735])). 14.34/2.47 tff(f11686,plain,( 14.34/2.47 spl52_624 <=> ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~infix_eqeq1(X0,sF34) | ~$less(sK3(empty1,sF34),length3(X0)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_624])])). 14.34/2.47 tff(f11683,plain,( 14.34/2.47 ( ! [X0 : string2] : (mixfix_lbrb1(empty1,sK3(empty1,sF34)) != mixfix_lbrb1(X0,sK3(empty1,sF34)) | ~$less(sK3(empty1,sF34),length3(X0)) | $less(sK3(empty1,sF34),0) | ~infix_eqeq1(X0,sF34)) ) | spl52_219), 14.34/2.47 inference(superposition,[],[f2745,f430])). 14.34/2.47 tff(f11677,plain,( 14.34/2.47 ~spl52_542 | ~spl52_425 | ~spl52_474), 14.34/2.47 inference(avatar_split_clause,[],[f11655,f8458,f6193,f9762])). 14.34/2.47 tff(f9762,plain,( 14.34/2.47 spl52_542 <=> $less($sum(sF20,sF20),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_542])])). 14.34/2.47 tff(f8458,plain,( 14.34/2.47 spl52_474 <=> sF20 = length3(str_proj_11(sK8))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_474])])). 14.34/2.47 tff(f11655,plain,( 14.34/2.47 ~$less($sum(sF20,sF20),0) | (~spl52_425 | ~spl52_474)), 14.34/2.47 inference(superposition,[],[f10393,f8460])). 14.34/2.47 tff(f8460,plain,( 14.34/2.47 sF20 = length3(str_proj_11(sK8)) | ~spl52_474), 14.34/2.47 inference(avatar_component_clause,[],[f8458])). 14.34/2.47 tff(f11676,plain,( 14.34/2.47 ~spl52_542 | ~spl52_231 | ~spl52_425), 14.34/2.47 inference(avatar_split_clause,[],[f11666,f6193,f2832,f9762])). 14.34/2.47 tff(f11666,plain,( 14.34/2.47 ~$less($sum(sF20,sF20),0) | (~spl52_231 | ~spl52_425)), 14.34/2.47 inference(superposition,[],[f10393,f2834])). 14.34/2.47 tff(f11674,plain,( 14.34/2.47 ~spl52_619 | ~spl52_83 | ~spl52_124 | ~spl52_425), 14.34/2.47 inference(avatar_split_clause,[],[f11673,f6193,f1362,f1028,f11380])). 14.34/2.47 tff(f11380,plain,( 14.34/2.47 spl52_619 <=> $less($sum(sF20,sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_619])])). 14.34/2.47 tff(f11673,plain,( 14.34/2.47 ~$less($sum(sF20,sF47),0) | (~spl52_83 | ~spl52_124 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f11657,f1364])). 14.34/2.47 tff(f11657,plain,( 14.34/2.47 ~$less($sum(sF20,length4(sK6)),0) | (~spl52_83 | ~spl52_425)), 14.34/2.47 inference(superposition,[],[f10393,f1030])). 14.34/2.47 tff(f11672,plain,( 14.34/2.47 ~spl52_619 | ~spl52_425 | ~spl52_596), 14.34/2.47 inference(avatar_split_clause,[],[f11656,f10908,f6193,f11380])). 14.34/2.47 tff(f10908,plain,( 14.34/2.47 spl52_596 <=> sF47 = length3(string3(sK6))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_596])])). 14.34/2.47 tff(f11656,plain,( 14.34/2.47 ~$less($sum(sF20,sF47),0) | (~spl52_425 | ~spl52_596)), 14.34/2.47 inference(superposition,[],[f10393,f10910])). 14.34/2.47 tff(f10910,plain,( 14.34/2.47 sF47 = length3(string3(sK6)) | ~spl52_596), 14.34/2.47 inference(avatar_component_clause,[],[f10908])). 14.34/2.47 tff(f11626,plain,( 14.34/2.47 spl52_471 | spl52_468 | ~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175 | ~spl52_176), 14.34/2.47 inference(avatar_split_clause,[],[f11625,f2035,f2028,f1372,f1167,f854,f561,f7714,f7855])). 14.34/2.47 tff(f7855,plain,( 14.34/2.47 spl52_471 <=> infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_471])])). 14.34/2.47 tff(f7714,plain,( 14.34/2.47 spl52_468 <=> ! [X3 : $int] : ($less(X3,0) | ~$less(X3,sK4))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_468])])). 14.34/2.47 tff(f561,plain,( 14.34/2.47 spl52_2 <=> $less(2,sK4)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_2])])). 14.34/2.47 tff(f854,plain,( 14.34/2.47 spl52_60 <=> sF30 = t2tb1(sF31)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_60])])). 14.34/2.47 tff(f1167,plain,( 14.34/2.47 spl52_101 <=> sF33 = length5(rope,sF30)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_101])])). 14.34/2.47 tff(f1372,plain,( 14.34/2.47 spl52_125 <=> sF29 = elts(rope,sF30)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_125])])). 14.34/2.47 tff(f2028,plain,( 14.34/2.47 spl52_175 <=> sK4 = sF33), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_175])])). 14.34/2.47 tff(f2035,plain,( 14.34/2.47 spl52_176 <=> sF34 = string_of_array1(sF31,2,sK4)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_176])])). 14.34/2.47 tff(f11625,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11624,f1374])). 14.34/2.47 tff(f1374,plain,( 14.34/2.47 sF29 = elts(rope,sF30) | ~spl52_125), 14.34/2.47 inference(avatar_component_clause,[],[f1372])). 14.34/2.47 tff(f11624,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_175 | ~spl52_176)), 14.34/2.47 inference(subsumption_resolution,[],[f11623,f127])). 14.34/2.47 tff(f127,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,X0)) )), 14.34/2.47 introduced(theory_axiom_150,[])). 14.34/2.47 tff(f11623,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(sK4,sK4) | ~$less(X0,sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_175 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11622,f2030])). 14.34/2.47 tff(f2030,plain,( 14.34/2.47 sK4 = sF33 | ~spl52_175), 14.34/2.47 inference(avatar_component_clause,[],[f2028])). 14.34/2.47 tff(f11622,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(sF33,sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_175 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11621,f2030])). 14.34/2.47 tff(f11621,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF33) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(sF33,sK4)) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11620,f1169])). 14.34/2.47 tff(f1169,plain,( 14.34/2.47 sF33 = length5(rope,sF30) | ~spl52_101), 14.34/2.47 inference(avatar_component_clause,[],[f1167])). 14.34/2.47 tff(f11620,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF30)) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(sF33,sK4)) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11619,f856])). 14.34/2.47 tff(f856,plain,( 14.34/2.47 sF30 = t2tb1(sF31) | ~spl52_60), 14.34/2.47 inference(avatar_component_clause,[],[f854])). 14.34/2.47 tff(f11619,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF31))) | $less(sF33,sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_60 | ~spl52_101 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11618,f1169])). 14.34/2.47 tff(f11618,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(length5(rope,sF30),sK4) | ~$less(X0,length5(rope,t2tb1(sF31))) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_60 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11617,f856])). 14.34/2.47 tff(f11617,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,t2tb1(sF31))) | $less(length5(rope,sF30),sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_60 | ~spl52_176)), 14.34/2.47 inference(forward_demodulation,[],[f11616,f856])). 14.34/2.47 tff(f11616,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,t2tb1(sF31))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_176)), 14.34/2.47 inference(subsumption_resolution,[],[f11596,f563])). 14.34/2.47 tff(f563,plain,( 14.34/2.47 $less(2,sK4) | ~spl52_2), 14.34/2.47 inference(avatar_component_clause,[],[f561])). 14.34/2.47 tff(f11596,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(X0,0) | $less(length5(rope,t2tb1(sF31)),sK4) | ~$less(X0,length5(rope,t2tb1(sF31))) | ~$less(2,sK4)) ) | ~spl52_176), 14.34/2.47 inference(evaluation,[],[f11591])). 14.34/2.47 tff(f11591,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(2,sK4) | $less(X0,0) | $less(2,0) | ~$less(X0,length5(rope,t2tb1(sF31))) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(length5(rope,t2tb1(sF31)),sK4)) ) | ~spl52_176), 14.34/2.47 inference(superposition,[],[f2157,f2037])). 14.34/2.47 tff(f2037,plain,( 14.34/2.47 sF34 = string_of_array1(sF31,2,sK4) | ~spl52_176), 14.34/2.47 inference(avatar_component_clause,[],[f2035])). 14.34/2.47 tff(f2157,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : array_rope,X1 : $int] : (infix_eqeq1(string_of_array1(X0,X2,X1),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb($sum(X1,-1))))),string_of_array1(X0,X2,$sum(X1,-1)))) | $less(X3,0) | ~$less(X3,length5(rope,t2tb1(X0))) | ~$less(X2,X1) | $less(X2,0) | $less(length5(rope,t2tb1(X0)),X1)) )), 14.34/2.47 inference(resolution,[],[f553,f128])). 14.34/2.47 tff(f553,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),X2) | $less(X0,0) | infix_eqeq1(string_of_array1(X1,X0,X2),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb($sum(X2,-1))))),string_of_array1(X1,X0,$sum(X2,-1)))) | ~$less(X0,X2)) )), 14.34/2.47 inference(evaluation,[],[f496])). 14.34/2.47 tff(f496,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X1,X0,X2),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb($sum(X2,$uminus(1)))))),string_of_array1(X1,X0,$sum(X2,$uminus(1))))) | $less(X0,0) | ~$less(X0,X2)) )), 14.34/2.47 inference(definition_unfolding,[],[f465,f466])). 14.34/2.47 tff(f465,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X1,X0,X2),app2(string3(tb2t2(get2(rope,t2tb1(X1),$sum(X2,$uminus(1))))),string_of_array1(X1,X0,$sum(X2,$uminus(1))))) | $less(X0,0) | ~$less(X0,X2) | $less(length5(rope,t2tb1(X1)),X2)) )), 14.34/2.47 inference(cnf_transformation,[],[f336])). 14.34/2.47 tff(f336,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : $int] : ($less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X1,X0,X2),app2(string3(tb2t2(get2(rope,t2tb1(X1),$sum(X2,$uminus(1))))),string_of_array1(X1,X0,$sum(X2,$uminus(1))))) | $less(X0,0) | ~$less(X0,X2) | $less(length5(rope,t2tb1(X1)),X2))), 14.34/2.47 inference(rectify,[],[f227])). 14.34/2.47 tff(f227,plain,( 14.34/2.47 ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),0) | infix_eqeq1(string_of_array1(X0,X2,X1),app2(string3(tb2t2(get2(rope,t2tb1(X0),$sum(X1,$uminus(1))))),string_of_array1(X0,X2,$sum(X1,$uminus(1))))) | $less(X2,0) | ~$less(X2,X1) | $less(length5(rope,t2tb1(X0)),X1))), 14.34/2.47 inference(flattening,[],[f226])). 14.34/2.47 tff(f226,plain,( 14.34/2.47 ! [X1 : $int,X0 : array_rope,X2 : $int] : (infix_eqeq1(string_of_array1(X0,X2,X1),app2(string3(tb2t2(get2(rope,t2tb1(X0),$sum(X1,$uminus(1))))),string_of_array1(X0,X2,$sum(X1,$uminus(1))))) | ($less(length5(rope,t2tb1(X0)),0) | ~$less(X2,X1) | $less(X2,0) | $less(length5(rope,t2tb1(X0)),X1)))), 14.34/2.47 inference(ennf_transformation,[],[f203])). 14.34/2.47 tff(f203,plain,( 14.34/2.47 ! [X1 : $int,X0 : array_rope,X2 : $int] : ((~$less(length5(rope,t2tb1(X0)),0) & $less(X2,X1) & ~$less(X2,0) & ~$less(length5(rope,t2tb1(X0)),X1)) => infix_eqeq1(string_of_array1(X0,X2,X1),app2(string3(tb2t2(get2(rope,t2tb1(X0),$sum(X1,$uminus(1))))),string_of_array1(X0,X2,$sum(X1,$uminus(1))))))), 14.34/2.47 inference(rectify,[],[f113])). 14.34/2.47 tff(f113,plain,( 14.34/2.47 ! [X3 : array_rope,X0 : $int,X25 : $int] : ((~$less(length5(rope,t2tb1(X3)),X0) & ~$less(X25,0) & ~$less(length5(rope,t2tb1(X3)),0) & $less(X25,X0)) => infix_eqeq1(string_of_array1(X3,X25,X0),app2(string3(tb2t2(get2(rope,t2tb1(X3),$sum(X0,$uminus(1))))),string_of_array1(X3,X25,$sum(X0,$uminus(1))))))), 14.34/2.47 inference(theory_normalization,[],[f38])). 14.34/2.47 tff(f38,axiom,( 14.34/2.47 ! [X3 : array_rope,X0 : $int,X25 : $int] : (($lesseq(X0,length5(rope,t2tb1(X3))) & $lesseq(0,X25) & $lesseq(0,length5(rope,t2tb1(X3))) & $less(X25,X0)) => infix_eqeq1(string_of_array1(X3,X25,X0),app2(string3(tb2t2(get2(rope,t2tb1(X3),$difference(X0,1)))),string_of_array1(X3,X25,$difference(X0,1)))))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f11408,plain,( 14.34/2.47 spl52_622 | spl52_623 | spl52_620), 14.34/2.47 inference(avatar_split_clause,[],[f11394,f11387,f11406,f11401])). 14.34/2.47 tff(f11401,plain,( 14.34/2.47 spl52_622 <=> 0 = $sum(sF40,sF47)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_622])])). 14.34/2.47 tff(f11387,plain,( 14.34/2.47 spl52_620 <=> $less($sum(sF40,sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_620])])). 14.34/2.47 tff(f11394,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF40,sF47)) | 0 = $sum(sF40,sF47) | ~$less(X0,0)) ) | spl52_620), 14.34/2.47 inference(resolution,[],[f11389,f1052])). 14.34/2.47 tff(f11389,plain,( 14.34/2.47 ~$less($sum(sF40,sF47),0) | spl52_620), 14.34/2.47 inference(avatar_component_clause,[],[f11387])). 14.34/2.47 tff(f11404,plain,( 14.34/2.47 spl52_621 | spl52_622 | spl52_620), 14.34/2.47 inference(avatar_split_clause,[],[f11395,f11387,f11401,f11397])). 14.34/2.47 tff(f11395,plain,( 14.34/2.47 $less(0,$sum(sF40,sF47)) | 0 = $sum(sF40,sF47) | spl52_620), 14.34/2.47 inference(resolution,[],[f11389,f129])). 14.34/2.47 tff(f11392,plain,( 14.34/2.47 ~spl52_619 | ~spl52_83 | ~spl52_124 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f11374,f2832,f1362,f1028,f11380])). 14.34/2.47 tff(f11374,plain,( 14.34/2.47 ~$less($sum(sF20,sF47),0) | (~spl52_83 | ~spl52_124 | ~spl52_231)), 14.34/2.47 inference(superposition,[],[f11048,f2834])). 14.34/2.47 tff(f11390,plain,( 14.34/2.47 ~spl52_620 | ~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_223), 14.34/2.47 inference(avatar_split_clause,[],[f11385,f2777,f1362,f1297,f1028,f11387])). 14.34/2.47 tff(f2777,plain,( 14.34/2.47 spl52_223 <=> sF40 = length4(sK9)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_223])])). 14.34/2.47 tff(f11385,plain,( 14.34/2.47 ~$less($sum(sF40,sF47),0) | (~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_223)), 14.34/2.47 inference(forward_demodulation,[],[f11366,f2779])). 14.34/2.47 tff(f2779,plain,( 14.34/2.47 sF40 = length4(sK9) | ~spl52_223), 14.34/2.47 inference(avatar_component_clause,[],[f2777])). 14.34/2.47 tff(f11383,plain,( 14.34/2.47 ~spl52_619 | ~spl52_83 | ~spl52_124 | ~spl52_474), 14.34/2.47 inference(avatar_split_clause,[],[f11363,f8458,f1362,f1028,f11380])). 14.34/2.47 tff(f11363,plain,( 14.34/2.47 ~$less($sum(sF20,sF47),0) | (~spl52_83 | ~spl52_124 | ~spl52_474)), 14.34/2.47 inference(superposition,[],[f11048,f8460])). 14.34/2.47 tff(f11335,plain,( 14.34/2.47 spl52_617 | spl52_618 | spl52_204), 14.34/2.47 inference(avatar_split_clause,[],[f11321,f2590,f11333,f11328])). 14.34/2.47 tff(f11328,plain,( 14.34/2.47 spl52_617 <=> 0 = length4(tb2t2(get(rope,int,sF29,t2tb(max3))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_617])])). 14.34/2.47 tff(f11333,plain,( 14.34/2.47 spl52_618 <=> ! [X0 : $int] : (~$less(X0,length4(tb2t2(get(rope,int,sF29,t2tb(max3))))) | $less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_618])])). 14.34/2.47 tff(f11321,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length4(tb2t2(get(rope,int,sF29,t2tb(max3))))) | 0 = length4(tb2t2(get(rope,int,sF29,t2tb(max3)))) | $less(X0,0)) ) | spl52_204), 14.34/2.47 inference(resolution,[],[f2592,f1052])). 14.34/2.47 tff(f2592,plain,( 14.34/2.47 ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(max3))))) | spl52_204), 14.34/2.47 inference(avatar_component_clause,[],[f2590])). 14.34/2.47 tff(f11331,plain,( 14.34/2.47 spl52_616 | spl52_617 | spl52_204), 14.34/2.47 inference(avatar_split_clause,[],[f11322,f2590,f11328,f11324])). 14.34/2.47 tff(f11324,plain,( 14.34/2.47 spl52_616 <=> $less(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_616])])). 14.34/2.47 tff(f11322,plain,( 14.34/2.47 $less(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),0) | 0 = length4(tb2t2(get(rope,int,sF29,t2tb(max3)))) | spl52_204), 14.34/2.47 inference(resolution,[],[f2592,f129])). 14.34/2.47 tff(f11319,plain,( 14.34/2.47 spl52_615 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_127 | ~spl52_198 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f11314,f2832,f2543,f1396,f1286,f1036,f766,f11316])). 14.34/2.47 tff(f11316,plain,( 14.34/2.47 spl52_615 <=> inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_615])])). 14.34/2.47 tff(f1396,plain,( 14.34/2.47 spl52_127 <=> inv1(tb2t2(get(rope,int,sF29,t2tb(2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_127])])). 14.34/2.47 tff(f11314,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_127 | ~spl52_198 | ~spl52_231)), 14.34/2.47 inference(forward_demodulation,[],[f11313,f2834])). 14.34/2.47 tff(f11313,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_127 | ~spl52_198)), 14.34/2.47 inference(subsumption_resolution,[],[f11304,f1398])). 14.34/2.47 tff(f1398,plain,( 14.34/2.47 inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | ~spl52_127), 14.34/2.47 inference(avatar_component_clause,[],[f1396])). 14.34/2.47 tff(f11304,plain,( 14.34/2.47 ~inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_198)), 14.34/2.47 inference(resolution,[],[f2544,f1825])). 14.34/2.47 tff(f2544,plain,( 14.34/2.47 $less(0,length4(tb2t2(get(rope,int,sF29,t2tb(2))))) | ~spl52_198), 14.34/2.47 inference(avatar_component_clause,[],[f2543])). 14.34/2.47 tff(f11312,plain,( 14.34/2.47 spl52_614 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_127 | ~spl52_198), 14.34/2.47 inference(avatar_split_clause,[],[f11307,f2543,f1396,f1362,f1128,f811,f11309])). 14.34/2.47 tff(f11309,plain,( 14.34/2.47 spl52_614 <=> inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK6,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_614])])). 14.34/2.47 tff(f11307,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK6,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_127 | ~spl52_198)), 14.34/2.47 inference(subsumption_resolution,[],[f11305,f1398])). 14.34/2.47 tff(f11305,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),sK6,$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),sF47))) | ~inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_198)), 14.34/2.47 inference(resolution,[],[f2544,f1827])). 14.34/2.47 tff(f11302,plain,( 14.34/2.47 spl52_613 | ~spl52_52 | ~spl52_98 | ~spl52_122 | ~spl52_124 | ~spl52_194), 14.34/2.47 inference(avatar_split_clause,[],[f11297,f2523,f1362,f1344,f1128,f811,f11299])). 14.34/2.47 tff(f11299,plain,( 14.34/2.47 spl52_613 <=> inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK6,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_613])])). 14.34/2.47 tff(f1344,plain,( 14.34/2.47 spl52_122 <=> inv1(tb2t2(get(rope,int,sF12,t2tb(2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_122])])). 14.34/2.47 tff(f11297,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK6,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_122 | ~spl52_124 | ~spl52_194)), 14.34/2.47 inference(subsumption_resolution,[],[f11288,f1346])). 14.34/2.47 tff(f1346,plain,( 14.34/2.47 inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | ~spl52_122), 14.34/2.47 inference(avatar_component_clause,[],[f1344])). 14.34/2.47 tff(f11288,plain,( 14.34/2.47 ~inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK6,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_194)), 14.34/2.47 inference(resolution,[],[f2524,f1827])). 14.34/2.47 tff(f2524,plain,( 14.34/2.47 $less(0,length4(tb2t2(get(rope,int,sF12,t2tb(2))))) | ~spl52_194), 14.34/2.47 inference(avatar_component_clause,[],[f2523])). 14.34/2.47 tff(f11296,plain,( 14.34/2.47 spl52_612 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_122 | ~spl52_194 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f11291,f2832,f2523,f1344,f1286,f1036,f766,f11293])). 14.34/2.47 tff(f11293,plain,( 14.34/2.47 spl52_612 <=> inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_612])])). 14.34/2.47 tff(f11291,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_122 | ~spl52_194 | ~spl52_231)), 14.34/2.47 inference(forward_demodulation,[],[f11290,f2834])). 14.34/2.47 tff(f11290,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_122 | ~spl52_194)), 14.34/2.47 inference(subsumption_resolution,[],[f11287,f1346])). 14.34/2.47 tff(f11287,plain,( 14.34/2.47 inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),sK8,$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),length3(sF35)))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_194)), 14.34/2.47 inference(resolution,[],[f2524,f1825])). 14.34/2.47 tff(f11286,plain,( 14.34/2.47 spl52_603 | ~spl52_602), 14.34/2.47 inference(avatar_split_clause,[],[f11285,f11102,f11107])). 14.34/2.47 tff(f11107,plain,( 14.34/2.47 spl52_603 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF40)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_603])])). 14.34/2.47 tff(f11102,plain,( 14.34/2.47 spl52_602 <=> $less(0,$sum(sF47,sF40))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_602])])). 14.34/2.47 tff(f11285,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF40))) ) | ~spl52_602), 14.34/2.47 inference(resolution,[],[f11104,f128])). 14.34/2.47 tff(f11104,plain,( 14.34/2.47 $less(0,$sum(sF47,sF40)) | ~spl52_602), 14.34/2.47 inference(avatar_component_clause,[],[f11102])). 14.34/2.47 tff(f11283,plain,( 14.34/2.47 spl52_611 | spl52_609 | ~spl52_17), 14.34/2.47 inference(avatar_split_clause,[],[f11264,f636,f11272,f11281])). 14.34/2.47 tff(f11281,plain,( 14.34/2.47 spl52_611 <=> ! [X2 : $int,X0 : array_rope,X1 : array_rope] : ($less(sF51,sK0(sF28,X0,X1,X2)) | sF51 = sK0(sF28,X0,X1,X2) | $less(length5(rope,t2tb1(X0)),0) | infix_eqeq1(string_of_array1(X1,sF28,X2),string_of_array1(X0,sF28,X2)) | $less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),X2) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | $less(X2,sF28))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_611])])). 14.34/2.47 tff(f636,plain,( 14.34/2.47 spl52_17 <=> $less(sF51,sF28)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_17])])). 14.34/2.47 tff(f11264,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : array_rope] : ($less(sF51,sK0(sF28,X0,X1,X2)) | $less(sF28,0) | $less(X2,sF28) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | $less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X1)),0) | infix_eqeq1(string_of_array1(X1,sF28,X2),string_of_array1(X0,sF28,X2)) | $less(length5(rope,t2tb1(X0)),0) | sF51 = sK0(sF28,X0,X1,X2)) ) | ~spl52_17), 14.34/2.47 inference(resolution,[],[f1194,f355])). 14.34/2.47 tff(f1194,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF28) | sF51 = X0 | $less(sF51,X0)) ) | ~spl52_17), 14.34/2.47 inference(resolution,[],[f1048,f129])). 14.34/2.47 tff(f1048,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF51) | $less(X0,sF28)) ) | ~spl52_17), 14.34/2.47 inference(resolution,[],[f128,f638])). 14.34/2.47 tff(f638,plain,( 14.34/2.47 $less(sF51,sF28) | ~spl52_17), 14.34/2.47 inference(avatar_component_clause,[],[f636])). 14.34/2.47 tff(f11279,plain,( 14.34/2.47 spl52_609 | spl52_610 | ~spl52_17), 14.34/2.47 inference(avatar_split_clause,[],[f11266,f636,f11277,f11272])). 14.34/2.47 tff(f11277,plain,( 14.34/2.47 spl52_610 <=> ! [X0 : $int,X1 : array_rope] : ($less(sF51,sK2(sF28,X0,X1)) | $less(X0,sF28) | $less(length5(rope,t2tb1(X1)),X0) | infix_eqeq1(string_of_array1(X1,sF28,X0),empty1) | $less(length5(rope,t2tb1(X1)),0) | sF51 = sK2(sF28,X0,X1))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_610])])). 14.34/2.47 tff(f11266,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : array_rope] : ($less(sF51,sK2(sF28,X0,X1)) | sF51 = sK2(sF28,X0,X1) | $less(length5(rope,t2tb1(X1)),0) | $less(sF28,0) | infix_eqeq1(string_of_array1(X1,sF28,X0),empty1) | $less(length5(rope,t2tb1(X1)),X0) | $less(X0,sF28)) ) | ~spl52_17), 14.34/2.47 inference(resolution,[],[f1194,f420])). 14.34/2.47 tff(f11275,plain,( 14.34/2.47 spl52_608 | spl52_609 | ~spl52_17), 14.34/2.47 inference(avatar_split_clause,[],[f11265,f636,f11272,f11269])). 14.34/2.47 tff(f11269,plain,( 14.34/2.47 spl52_608 <=> ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X0)),X1) | $less(sF51,sK1(sF28,X0,X1)) | $less(X2,sF28) | ~$less(X2,X1) | sF51 = sK1(sF28,X0,X1) | ~$less(length3(string_of_array1(X0,sF28,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_608])])). 14.34/2.47 tff(f11265,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),0) | ~$less(length3(string_of_array1(X0,sF28,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | sF51 = sK1(sF28,X0,X1) | ~$less(X2,X1) | $less(X2,sF28) | $less(sF28,0) | $less(sF51,sK1(sF28,X0,X1)) | $less(length5(rope,t2tb1(X0)),X1)) ) | ~spl52_17), 14.34/2.47 inference(resolution,[],[f1194,f485])). 14.34/2.47 tff(f11246,plain,( 14.34/2.47 spl52_561 | ~spl52_559 | ~spl52_321), 14.34/2.47 inference(avatar_split_clause,[],[f11243,f4244,f9909,f9917])). 14.34/2.47 tff(f9917,plain,( 14.34/2.47 spl52_561 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(3))))))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_561])])). 14.34/2.47 tff(f9909,plain,( 14.34/2.47 spl52_559 <=> $less(0,length4(tb2t2(get(rope,int,sF29,t2tb(3)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_559])])). 14.34/2.47 tff(f4244,plain,( 14.34/2.47 spl52_321 <=> inv1(tb2t2(get(rope,int,sF29,t2tb(3))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_321])])). 14.34/2.47 tff(f11243,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(3))))))) | ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(3))))) | ~$less(0,length4(X0)) | ~inv1(X0)) ) | ~spl52_321), 14.34/2.47 inference(resolution,[],[f4246,f500])). 14.34/2.47 tff(f4246,plain,( 14.34/2.47 inv1(tb2t2(get(rope,int,sF29,t2tb(3)))) | ~spl52_321), 14.34/2.47 inference(avatar_component_clause,[],[f4244])). 14.34/2.47 tff(f11245,plain,( 14.34/2.47 spl52_560 | ~spl52_559 | ~spl52_321), 14.34/2.47 inference(avatar_split_clause,[],[f11242,f4244,f9909,f9913])). 14.34/2.47 tff(f9913,plain,( 14.34/2.47 spl52_560 <=> ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | $less(X1,0) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(3)))),X2))) | ~$less(0,X2))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_560])])). 14.34/2.47 tff(f11242,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(3))))) | ~$less(0,X2) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(3)))),X2))) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | $less(X1,0)) ) | ~spl52_321), 14.34/2.47 inference(resolution,[],[f4246,f1830])). 14.34/2.47 tff(f11241,plain,( 14.34/2.47 spl52_263 | ~spl52_247), 14.34/2.47 inference(avatar_split_clause,[],[f11240,f3001,f3333])). 14.34/2.47 tff(f3333,plain,( 14.34/2.47 spl52_263 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,str_proj_21(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_263])])). 14.34/2.47 tff(f3001,plain,( 14.34/2.47 spl52_247 <=> $less(0,str_proj_21(sK9))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_247])])). 14.34/2.47 tff(f11240,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,str_proj_21(sK9))) ) | ~spl52_247), 14.34/2.47 inference(resolution,[],[f3003,f128])). 14.34/2.47 tff(f3003,plain,( 14.34/2.47 $less(0,str_proj_21(sK9)) | ~spl52_247), 14.34/2.47 inference(avatar_component_clause,[],[f3001])). 14.34/2.47 tff(f11234,plain,( 14.34/2.47 spl52_607 | ~spl52_259 | ~spl52_568), 14.34/2.47 inference(avatar_split_clause,[],[f11229,f9954,f3311,f11231])). 14.34/2.47 tff(f11231,plain,( 14.34/2.47 spl52_607 <=> $less(0,length3(str_proj_11(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_607])])). 14.34/2.47 tff(f11229,plain,( 14.34/2.47 $less(0,length3(str_proj_11(sK9))) | (~spl52_259 | ~spl52_568)), 14.34/2.47 inference(forward_demodulation,[],[f9956,f3313])). 14.34/2.47 tff(f3313,plain,( 14.34/2.47 0 = sF38 | ~spl52_259), 14.34/2.47 inference(avatar_component_clause,[],[f3311])). 14.34/2.47 tff(f11228,plain,( 14.34/2.47 spl52_212 | ~spl52_209 | ~spl52_259), 14.34/2.47 inference(avatar_split_clause,[],[f11227,f3311,f2678,f2689])). 14.34/2.47 tff(f11227,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | (~spl52_209 | ~spl52_259)), 14.34/2.47 inference(evaluation,[],[f11226])). 14.34/2.47 tff(f11226,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),0)) | (~spl52_209 | ~spl52_259)), 14.34/2.47 inference(forward_demodulation,[],[f2680,f3313])). 14.34/2.47 tff(f2680,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~spl52_209), 14.34/2.47 inference(avatar_component_clause,[],[f2678])). 14.34/2.47 tff(f11224,plain,( 14.34/2.47 ~spl52_259 | ~spl52_565), 14.34/2.47 inference(avatar_contradiction_clause,[],[f11223])). 14.34/2.47 tff(f11223,plain,( 14.34/2.47 $false | (~spl52_259 | ~spl52_565)), 14.34/2.47 inference(subsumption_resolution,[],[f11221,f405])). 14.34/2.47 tff(f11221,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),0) | (~spl52_259 | ~spl52_565)), 14.34/2.47 inference(superposition,[],[f9940,f3313])). 14.34/2.47 tff(f9940,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),sF38) | ~spl52_565), 14.34/2.47 inference(avatar_component_clause,[],[f9939])). 14.34/2.47 tff(f11216,plain,( 14.34/2.47 spl52_503 | spl52_572 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f11211,f5977,f9986,f9357])). 14.34/2.47 tff(f9357,plain,( 14.34/2.47 spl52_503 <=> $less(max3,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_503])])). 14.34/2.47 tff(f9986,plain,( 14.34/2.47 spl52_572 <=> ! [X2 : $int,X0 : array_rope,X1 : array_rope] : (~$less(sK0(max3,X0,X1,X2),2) | $less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X0)),0) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | $less(X2,max3) | infix_eqeq1(string_of_array1(X1,max3,X2),string_of_array1(X0,max3,X2)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_572])])). 14.34/2.47 tff(f5977,plain,( 14.34/2.47 spl52_408 <=> ! [X0 : $int] : ($less(X0,max3) | ~$less(X0,2))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_408])])). 14.34/2.47 tff(f11211,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : array_rope] : (infix_eqeq1(string_of_array1(X1,max3,X2),string_of_array1(X0,max3,X2)) | $less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X1)),0) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | $less(max3,0) | $less(length5(rope,t2tb1(X0)),0) | $less(X2,max3) | ~$less(sK0(max3,X0,X1,X2),2)) ) | ~spl52_408), 14.34/2.47 inference(resolution,[],[f5978,f355])). 14.34/2.47 tff(f5978,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,max3) | ~$less(X0,2)) ) | ~spl52_408), 14.34/2.47 inference(avatar_component_clause,[],[f5977])). 14.34/2.47 tff(f11215,plain,( 14.34/2.47 spl52_503 | spl52_571 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f11212,f5977,f9982,f9357])). 14.34/2.47 tff(f9982,plain,( 14.34/2.47 spl52_571 <=> ! [X2 : $int,X0 : array_rope,X1 : $int] : (~$less(X2,X1) | ~$less(sK1(max3,X0,X1),2) | $less(length5(rope,t2tb1(X0)),X1) | ~$less(length3(string_of_array1(X0,max3,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | $less(length5(rope,t2tb1(X0)),0) | $less(X2,max3))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_571])])). 14.34/2.47 tff(f11212,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(X2,max3) | ~$less(X2,X1) | ~$less(length3(string_of_array1(X0,max3,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | $less(max3,0) | $less(length5(rope,t2tb1(X0)),0) | ~$less(sK1(max3,X0,X1),2) | $less(length5(rope,t2tb1(X0)),X1)) ) | ~spl52_408), 14.34/2.47 inference(resolution,[],[f5978,f485])). 14.34/2.47 tff(f11214,plain,( 14.34/2.47 spl52_503 | spl52_570 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f11213,f5977,f9978,f9357])). 14.34/2.47 tff(f9978,plain,( 14.34/2.47 spl52_570 <=> ! [X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X0) | infix_eqeq1(string_of_array1(X1,max3,X0),empty1) | $less(X0,max3) | $less(length5(rope,t2tb1(X1)),0) | ~$less(sK2(max3,X0,X1),2))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_570])])). 14.34/2.47 tff(f11213,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X0) | $less(max3,0) | infix_eqeq1(string_of_array1(X1,max3,X0),empty1) | ~$less(sK2(max3,X0,X1),2) | $less(length5(rope,t2tb1(X1)),0) | $less(X0,max3)) ) | ~spl52_408), 14.34/2.47 inference(resolution,[],[f5978,f420])). 14.34/2.47 tff(f11203,plain,( 14.34/2.47 ~spl52_556 | spl52_555 | ~spl52_319), 14.34/2.47 inference(avatar_split_clause,[],[f11199,f4219,f9876,f9879])). 14.34/2.47 tff(f9879,plain,( 14.34/2.47 spl52_556 <=> $less(0,length4(tb2t2(get(rope,int,sF12,t2tb(3)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_556])])). 14.34/2.47 tff(f9876,plain,( 14.34/2.47 spl52_555 <=> ! [X2 : $int,X0 : string2,X1 : $int] : ($less(X1,0) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | inv1(app3(tb2t2(get(rope,int,sF12,t2tb(3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(3)))),X2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_555])])). 14.34/2.47 tff(f4219,plain,( 14.34/2.47 spl52_319 <=> inv1(tb2t2(get(rope,int,sF12,t2tb(3))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_319])])). 14.34/2.47 tff(f11199,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (inv1(app3(tb2t2(get(rope,int,sF12,t2tb(3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(3)))),X2))) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,X2) | $less(X1,0) | ~$less(X1,length3(X0)) | ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(3)))))) ) | ~spl52_319), 14.34/2.47 inference(resolution,[],[f4221,f1830])). 14.34/2.47 tff(f4221,plain,( 14.34/2.47 inv1(tb2t2(get(rope,int,sF12,t2tb(3)))) | ~spl52_319), 14.34/2.47 inference(avatar_component_clause,[],[f4219])). 14.34/2.47 tff(f11202,plain,( 14.34/2.47 ~spl52_556 | spl52_558 | ~spl52_319), 14.34/2.47 inference(avatar_split_clause,[],[f11200,f4219,f9889,f9879])). 14.34/2.47 tff(f9889,plain,( 14.34/2.47 spl52_558 <=> ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(3))))))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_558])])). 14.34/2.47 tff(f11200,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(3))))) | inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(3))))))) | ~$less(0,length4(X0)) | ~inv1(X0)) ) | ~spl52_319), 14.34/2.47 inference(resolution,[],[f4221,f500])). 14.34/2.47 tff(f11196,plain,( 14.34/2.47 spl52_260 | spl52_259 | spl52_213), 14.34/2.47 inference(avatar_split_clause,[],[f11193,f2695,f3311,f3315])). 14.34/2.47 tff(f3315,plain,( 14.34/2.47 spl52_260 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF38))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_260])])). 14.34/2.47 tff(f11193,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF38) | 0 = sF38 | ~$less(X0,0)) ) | spl52_213), 14.34/2.47 inference(resolution,[],[f2696,f1052])). 14.34/2.47 tff(f11180,plain,( 14.34/2.47 ~spl52_419 | spl52_606 | spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_138 | spl52_167 | ~spl52_175), 14.34/2.47 inference(avatar_split_clause,[],[f11179,f2028,f1918,f1492,f1372,f1167,f854,f681,f11151,f6087])). 14.34/2.47 tff(f6087,plain,( 14.34/2.47 spl52_419 <=> emp1 = tb2t2(get(rope,int,sF29,t2tb(sK2(2,3,sF31))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_419])])). 14.34/2.47 tff(f11151,plain,( 14.34/2.47 spl52_606 <=> $less(sK4,3)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_606])])). 14.34/2.47 tff(f681,plain,( 14.34/2.47 spl52_26 <=> $less(sK4,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_26])])). 14.34/2.47 tff(f1492,plain,( 14.34/2.47 spl52_138 <=> sF34 = string_of_array1(sF31,2,3)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_138])])). 14.34/2.47 tff(f1918,plain,( 14.34/2.47 spl52_167 <=> infix_eqeq1(sF34,empty1)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_167])])). 14.34/2.47 tff(f11179,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,3,sF31)))) | $less(sK4,3) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f11178,f1374])). 14.34/2.47 tff(f11178,plain,( 14.34/2.47 $less(sK4,3) | emp1 != tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK2(2,3,sF31)))) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10539,f856])). 14.34/2.47 tff(f10539,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | $less(sK4,3) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10538,f2030])). 14.34/2.47 tff(f10538,plain,( 14.34/2.47 $less(sF33,3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(subsumption_resolution,[],[f10537,f683])). 14.34/2.47 tff(f683,plain,( 14.34/2.47 ~$less(sK4,0) | spl52_26), 14.34/2.47 inference(avatar_component_clause,[],[f681])). 14.34/2.47 tff(f10537,plain,( 14.34/2.47 $less(sF33,3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | $less(sK4,0) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10536,f2030])). 14.34/2.47 tff(f10536,plain,( 14.34/2.47 $less(sF33,0) | $less(sF33,3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f10535,f1169])). 14.34/2.47 tff(f10535,plain,( 14.34/2.47 $less(length5(rope,sF30),0) | $less(sF33,3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f10534,f1169])). 14.34/2.47 tff(f10534,plain,( 14.34/2.47 $less(length5(rope,sF30),3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | $less(length5(rope,sF30),0) | (~spl52_60 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f10533,f856])). 14.34/2.47 tff(f10533,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF31)),3) | $less(length5(rope,sF30),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | (~spl52_60 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f10532,f856])). 14.34/2.47 tff(f10532,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF31)),0) | $less(length5(rope,t2tb1(sF31)),3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | (~spl52_138 | spl52_167)), 14.34/2.47 inference(subsumption_resolution,[],[f10530,f1919])). 14.34/2.47 tff(f1919,plain,( 14.34/2.47 ~infix_eqeq1(sF34,empty1) | spl52_167), 14.34/2.47 inference(avatar_component_clause,[],[f1918])). 14.34/2.47 tff(f10530,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF31)),0) | infix_eqeq1(sF34,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | $less(length5(rope,t2tb1(sF31)),3) | ~spl52_138), 14.34/2.47 inference(evaluation,[],[f10525])). 14.34/2.47 tff(f10525,plain,( 14.34/2.47 $less(3,2) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | infix_eqeq1(sF34,empty1) | $less(2,0) | $less(length5(rope,t2tb1(sF31)),0) | $less(length5(rope,t2tb1(sF31)),3) | ~spl52_138), 14.34/2.47 inference(superposition,[],[f491,f1494])). 14.34/2.47 tff(f1494,plain,( 14.34/2.47 sF34 = string_of_array1(sF31,2,3) | ~spl52_138), 14.34/2.47 inference(avatar_component_clause,[],[f1492])). 14.34/2.47 tff(f491,plain,( 14.34/2.47 ( ! [X2 : array_rope,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | $less(length5(rope,t2tb1(X2)),X1) | $less(X1,X0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(X2)),t2tb(sK2(X0,X1,X2)))) | $less(length5(rope,t2tb1(X2)),0) | $less(X0,0)) )), 14.34/2.47 inference(definition_unfolding,[],[f421,f466])). 14.34/2.47 tff(f421,plain,( 14.34/2.47 ( ! [X2 : array_rope,X0 : $int,X1 : $int] : ($less(length5(rope,t2tb1(X2)),X1) | $less(length5(rope,t2tb1(X2)),0) | emp1 != tb2t2(get2(rope,t2tb1(X2),sK2(X0,X1,X2))) | infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | $less(X1,X0) | $less(X0,0)) )), 14.34/2.47 inference(cnf_transformation,[],[f315])). 14.34/2.47 tff(f11172,plain,( 14.34/2.47 spl52_606 | spl52_423 | spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175), 14.34/2.47 inference(avatar_split_clause,[],[f11171,f2028,f1918,f1492,f1167,f854,f681,f6107,f11151])). 14.34/2.47 tff(f6107,plain,( 14.34/2.47 spl52_423 <=> $less(sK2(2,3,sF31),3)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_423])])). 14.34/2.47 tff(f11171,plain,( 14.34/2.47 $less(sK2(2,3,sF31),3) | $less(sK4,3) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f11170,f2030])). 14.34/2.47 tff(f11170,plain,( 14.34/2.47 $less(sK2(2,3,sF31),3) | $less(sF33,3) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(subsumption_resolution,[],[f11169,f683])). 14.34/2.47 tff(f11169,plain,( 14.34/2.47 $less(sK4,0) | $less(sK2(2,3,sF31),3) | $less(sF33,3) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f11168,f2030])). 14.34/2.47 tff(f11168,plain,( 14.34/2.47 $less(sK2(2,3,sF31),3) | $less(sF33,0) | $less(sF33,3) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f11167,f1169])). 14.34/2.47 tff(f11167,plain,( 14.34/2.47 $less(length5(rope,sF30),0) | $less(sF33,3) | $less(sK2(2,3,sF31),3) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f11166,f856])). 14.34/2.47 tff(f11166,plain,( 14.34/2.47 $less(sK2(2,3,sF31),3) | $less(length5(rope,t2tb1(sF31)),0) | $less(sF33,3) | (~spl52_60 | ~spl52_101 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f11165,f1169])). 14.34/2.47 tff(f11165,plain,( 14.34/2.47 $less(sK2(2,3,sF31),3) | $less(length5(rope,sF30),3) | $less(length5(rope,t2tb1(sF31)),0) | (~spl52_60 | ~spl52_138 | spl52_167)), 14.34/2.47 inference(forward_demodulation,[],[f11164,f856])). 14.34/2.47 tff(f11164,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF31)),3) | $less(length5(rope,t2tb1(sF31)),0) | $less(sK2(2,3,sF31),3) | (~spl52_138 | spl52_167)), 14.34/2.47 inference(subsumption_resolution,[],[f10531,f1919])). 14.34/2.47 tff(f10531,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF31)),3) | $less(sK2(2,3,sF31),3) | infix_eqeq1(sF34,empty1) | $less(length5(rope,t2tb1(sF31)),0) | ~spl52_138), 14.34/2.47 inference(evaluation,[],[f10526])). 14.34/2.47 tff(f10526,plain,( 14.34/2.47 $less(sK2(2,3,sF31),3) | $less(3,2) | $less(length5(rope,t2tb1(sF31)),0) | $less(2,0) | $less(length5(rope,t2tb1(sF31)),3) | infix_eqeq1(sF34,empty1) | ~spl52_138), 14.34/2.47 inference(superposition,[],[f419,f1494])). 14.34/2.47 tff(f419,plain,( 14.34/2.47 ( ! [X2 : array_rope,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(X2,X0,X1),empty1) | $less(X0,0) | $less(length5(rope,t2tb1(X2)),X1) | $less(X1,X0) | $less(sK2(X0,X1,X2),X1) | $less(length5(rope,t2tb1(X2)),0)) )), 14.34/2.47 inference(cnf_transformation,[],[f315])). 14.34/2.47 tff(f11163,plain,( 14.34/2.47 spl52_468 | spl52_463 | spl52_606 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_138 | ~spl52_175), 14.34/2.47 inference(avatar_split_clause,[],[f10578,f2028,f1492,f1372,f1167,f854,f11151,f7583,f7714])). 14.34/2.47 tff(f7583,plain,( 14.34/2.47 spl52_463 <=> infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_463])])). 14.34/2.47 tff(f10578,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2))) | $less(sK4,3) | $less(X0,0) | ~$less(X0,sK4)) ) | (~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_138 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10577,f2030])). 14.34/2.47 tff(f10577,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF33) | $less(sK4,3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_138 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10576,f1374])). 14.34/2.47 tff(f10576,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb(2)))),string_of_array1(sF31,2,2))) | $less(X0,0) | $less(sK4,3) | ~$less(X0,sF33)) ) | (~spl52_60 | ~spl52_101 | ~spl52_138 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10575,f2030])). 14.34/2.47 tff(f10575,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(sF33,3) | ~$less(X0,sF33) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_60 | ~spl52_101 | ~spl52_138)), 14.34/2.47 inference(forward_demodulation,[],[f10574,f1169])). 14.34/2.47 tff(f10574,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(length5(rope,sF30),3) | ~$less(X0,sF33) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_60 | ~spl52_101 | ~spl52_138)), 14.34/2.47 inference(forward_demodulation,[],[f10573,f1169])). 14.34/2.47 tff(f10573,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF30)) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb(2)))),string_of_array1(sF31,2,2))) | $less(length5(rope,sF30),3) | $less(X0,0)) ) | (~spl52_60 | ~spl52_138)), 14.34/2.47 inference(forward_demodulation,[],[f10572,f856])). 14.34/2.47 tff(f10572,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2))) | ~$less(X0,length5(rope,sF30)) | $less(length5(rope,sF30),3)) ) | (~spl52_60 | ~spl52_138)), 14.34/2.47 inference(forward_demodulation,[],[f10571,f856])). 14.34/2.47 tff(f10571,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),3) | $less(X0,0) | ~$less(X0,length5(rope,sF30)) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_60 | ~spl52_138)), 14.34/2.47 inference(forward_demodulation,[],[f10527,f856])). 14.34/2.47 tff(f10527,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF31))) | $less(X0,0) | $less(length5(rope,t2tb1(sF31)),3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | ~spl52_138), 14.34/2.47 inference(evaluation,[],[f10524])). 14.34/2.47 tff(f10524,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),3) | ~$less(X0,length5(rope,t2tb1(sF31))) | ~$less(2,3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(3,-1))))),string_of_array1(sF31,2,$sum(3,-1)))) | $less(X0,0) | $less(2,0)) ) | ~spl52_138), 14.34/2.47 inference(superposition,[],[f2157,f1494])). 14.34/2.47 tff(f11162,plain,( 14.34/2.47 spl52_462 | spl52_468 | spl52_606 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f11161,f2009,f1460,f1322,f1198,f974,f701,f11151,f7714,f7559])). 14.34/2.47 tff(f7559,plain,( 14.34/2.47 spl52_462 <=> infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_462])])). 14.34/2.47 tff(f701,plain,( 14.34/2.47 spl52_30 <=> t2tb1(sF14) = sF15), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_30])])). 14.34/2.47 tff(f974,plain,( 14.34/2.47 spl52_77 <=> sF13 = sF15), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_77])])). 14.34/2.47 tff(f1198,plain,( 14.34/2.47 spl52_105 <=> sF16 = length5(rope,sF13)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_105])])). 14.34/2.47 tff(f1322,plain,( 14.34/2.47 spl52_120 <=> sF12 = elts(rope,sF13)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_120])])). 14.34/2.47 tff(f1460,plain,( 14.34/2.47 spl52_134 <=> sF17 = string_of_array1(sF14,2,3)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_134])])). 14.34/2.47 tff(f2009,plain,( 14.34/2.47 spl52_173 <=> sK4 = sF16), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_173])])). 14.34/2.47 tff(f11161,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(sK4,3) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,sK4)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f11160,f2011])). 14.34/2.47 tff(f2011,plain,( 14.34/2.47 sK4 = sF16 | ~spl52_173), 14.34/2.47 inference(avatar_component_clause,[],[f2009])). 14.34/2.47 tff(f11160,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | $less(sF16,3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10464,f1200])). 14.34/2.47 tff(f1200,plain,( 14.34/2.47 sF16 = length5(rope,sF13) | ~spl52_105), 14.34/2.47 inference(avatar_component_clause,[],[f1198])). 14.34/2.47 tff(f10464,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(X0,0) | $less(length5(rope,sF13),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10463,f1324])). 14.34/2.47 tff(f1324,plain,( 14.34/2.47 sF12 = elts(rope,sF13) | ~spl52_120), 14.34/2.47 inference(avatar_component_clause,[],[f1322])). 14.34/2.47 tff(f10463,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,sK4) | $less(X0,0) | $less(length5(rope,sF13),3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10462,f976])). 14.34/2.47 tff(f976,plain,( 14.34/2.47 sF13 = sF15 | ~spl52_77), 14.34/2.47 inference(avatar_component_clause,[],[f974])). 14.34/2.47 tff(f10462,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF13),3) | ~$less(X0,sK4)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10461,f2011])). 14.34/2.47 tff(f10461,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF16) | $less(length5(rope,sF13),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_134)), 14.34/2.47 inference(forward_demodulation,[],[f10460,f1200])). 14.34/2.47 tff(f10460,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF13)) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF13),3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_134)), 14.34/2.47 inference(forward_demodulation,[],[f10459,f703])). 14.34/2.47 tff(f703,plain,( 14.34/2.47 t2tb1(sF14) = sF15 | ~spl52_30), 14.34/2.47 inference(avatar_component_clause,[],[f701])). 14.34/2.47 tff(f10459,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,length5(rope,sF13)) | $less(X0,0) | $less(length5(rope,sF13),3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_134)), 14.34/2.47 inference(forward_demodulation,[],[f10458,f976])). 14.34/2.47 tff(f10458,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF15)) | $less(length5(rope,sF13),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(X0,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_134)), 14.34/2.47 inference(forward_demodulation,[],[f10457,f976])). 14.34/2.47 tff(f10457,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,sF15),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,length5(rope,sF15))) ) | (~spl52_30 | ~spl52_134)), 14.34/2.47 inference(forward_demodulation,[],[f10456,f703])). 14.34/2.47 tff(f10456,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,t2tb1(sF14)),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,length5(rope,sF15))) ) | (~spl52_30 | ~spl52_134)), 14.34/2.47 inference(forward_demodulation,[],[f10455,f703])). 14.34/2.47 tff(f10455,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF14))) | $less(length5(rope,t2tb1(sF14)),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(X0,0)) ) | ~spl52_134), 14.34/2.47 inference(evaluation,[],[f10447])). 14.34/2.47 tff(f10447,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),3) | ~$less(2,3) | ~$less(X0,length5(rope,t2tb1(sF14))) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(3,-1))))),string_of_array1(sF14,2,$sum(3,-1)))) | $less(2,0)) ) | ~spl52_134), 14.34/2.47 inference(superposition,[],[f2157,f1462])). 14.34/2.47 tff(f1462,plain,( 14.34/2.47 sF17 = string_of_array1(sF14,2,3) | ~spl52_134), 14.34/2.47 inference(avatar_component_clause,[],[f1460])). 14.34/2.47 tff(f11156,plain,( 14.34/2.47 spl52_606 | spl52_462 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f10451,f2009,f1460,f1322,f1198,f974,f701,f681,f7559,f11151])). 14.34/2.47 tff(f10451,plain,( 14.34/2.47 $less(sK4,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(evaluation,[],[f10444])). 14.34/2.47 tff(f10444,plain,( 14.34/2.47 $less(2,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(3,-1))))),string_of_array1(sF14,2,$sum(3,-1)))) | $less(sK4,3) | ~$less(2,3) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(superposition,[],[f2173,f1462])). 14.34/2.47 tff(f2173,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | ~$less(X1,X0) | $less(sK4,X0) | $less(X1,0)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(subsumption_resolution,[],[f2172,f683])). 14.34/2.47 tff(f2172,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(sK4,0) | $less(sK4,X0) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | ~$less(X1,X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2171,f2011])). 14.34/2.47 tff(f2171,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | $less(sF16,0) | $less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | ~$less(X1,X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2170,f1200])). 14.34/2.47 tff(f2170,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | $less(sK4,X0) | $less(X1,0) | $less(length5(rope,sF13),0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2169,f2011])). 14.34/2.47 tff(f2169,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | $less(sF16,X0) | $less(length5(rope,sF13),0) | ~$less(X1,X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2168,f1324])). 14.34/2.47 tff(f2168,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | $less(X1,0) | $less(sF16,X0) | ~$less(X1,X0) | $less(length5(rope,sF13),0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.47 inference(forward_demodulation,[],[f2167,f1200])). 14.34/2.47 tff(f2167,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(length5(rope,sF13),X0) | ~$less(X1,X0) | $less(X1,0) | $less(length5(rope,sF13),0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1))))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2166,f976])). 14.34/2.47 tff(f2166,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | $less(length5(rope,sF15),0) | $less(length5(rope,sF13),X0) | ~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1))))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2165,f976])). 14.34/2.47 tff(f2165,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (~$less(X1,X0) | $less(length5(rope,sF15),X0) | $less(length5(rope,sF15),0) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1))))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2163,f976])). 14.34/2.47 tff(f2163,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb($sum(X0,-1))))),string_of_array1(sF14,X1,$sum(X0,-1)))) | $less(length5(rope,sF15),X0) | $less(X1,0) | ~$less(X1,X0) | $less(length5(rope,sF15),0)) ) | ~spl52_30), 14.34/2.47 inference(superposition,[],[f553,f703])). 14.34/2.47 tff(f11154,plain,( 14.34/2.47 spl52_606 | ~spl52_422 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f10518,f2009,f1892,f1460,f1322,f1198,f974,f701,f681,f6102,f11151])). 14.34/2.47 tff(f6102,plain,( 14.34/2.47 spl52_422 <=> emp1 = tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_422])])). 14.34/2.47 tff(f1892,plain,( 14.34/2.47 spl52_162 <=> infix_eqeq1(sF17,empty1)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_162])])). 14.34/2.47 tff(f10518,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | $less(sK4,3) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173)), 14.34/2.47 inference(subsumption_resolution,[],[f10517,f683])). 14.34/2.47 tff(f10517,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | $less(sK4,0) | $less(sK4,3) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10516,f2011])). 14.34/2.47 tff(f10516,plain,( 14.34/2.47 $less(sF16,0) | emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | $less(sK4,3) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10515,f2011])). 14.34/2.47 tff(f10515,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | $less(sF16,3) | $less(sF16,0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10514,f1200])). 14.34/2.47 tff(f10514,plain,( 14.34/2.47 $less(length5(rope,sF13),0) | $less(sF16,3) | emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10513,f1324])). 14.34/2.47 tff(f10513,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK2(2,3,sF14)))) | $less(length5(rope,sF13),0) | $less(sF16,3) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10512,f976])). 14.34/2.47 tff(f10512,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,3,sF14)))) | $less(sF16,3) | $less(length5(rope,sF13),0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10511,f703])). 14.34/2.47 tff(f10511,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | $less(sF16,3) | $less(length5(rope,sF13),0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10510,f1200])). 14.34/2.47 tff(f10510,plain,( 14.34/2.47 $less(length5(rope,sF13),3) | $less(length5(rope,sF13),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10509,f976])). 14.34/2.47 tff(f10509,plain,( 14.34/2.47 $less(length5(rope,sF15),3) | $less(length5(rope,sF13),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10508,f976])). 14.34/2.47 tff(f10508,plain,( 14.34/2.47 $less(length5(rope,sF15),0) | $less(length5(rope,sF15),3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | (~spl52_30 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10507,f703])). 14.34/2.47 tff(f10507,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF14)),0) | $less(length5(rope,sF15),3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | (~spl52_30 | ~spl52_134 | spl52_162)), 14.34/2.47 inference(forward_demodulation,[],[f10506,f703])). 14.34/2.47 tff(f10506,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF14)),3) | $less(length5(rope,t2tb1(sF14)),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | (~spl52_134 | spl52_162)), 14.34/2.47 inference(subsumption_resolution,[],[f10450,f1893])). 14.34/2.47 tff(f1893,plain,( 14.34/2.47 ~infix_eqeq1(sF17,empty1) | spl52_162), 14.34/2.47 inference(avatar_component_clause,[],[f1892])). 14.34/2.47 tff(f10450,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF14)),3) | infix_eqeq1(sF17,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | $less(length5(rope,t2tb1(sF14)),0) | ~spl52_134), 14.34/2.47 inference(evaluation,[],[f10448])). 14.34/2.47 tff(f10448,plain,( 14.34/2.47 $less(length5(rope,t2tb1(sF14)),3) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,3,sF14)))) | $less(3,2) | infix_eqeq1(sF17,empty1) | $less(length5(rope,t2tb1(sF14)),0) | $less(2,0) | ~spl52_134), 14.34/2.47 inference(superposition,[],[f491,f1462])). 14.34/2.47 tff(f11146,plain,( 14.34/2.47 spl52_604 | spl52_605 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_293), 14.34/2.47 inference(avatar_split_clause,[],[f11138,f3786,f2009,f1322,f1198,f1181,f974,f701,f681,f11143,f11140])). 14.34/2.47 tff(f11140,plain,( 14.34/2.47 spl52_604 <=> ! [X0 : $int,X1 : $int] : ($less(X0,0) | ~$less(length3(string_of_array1(sF14,X0,sF38)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X1)))))) | ~$less(X1,sF38) | $less(X1,X0) | $less(sK1(X0,sF14,sF38),0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_604])])). 14.34/2.47 tff(f11143,plain,( 14.34/2.47 spl52_605 <=> $less(3,sF38)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_605])])). 14.34/2.47 tff(f1181,plain,( 14.34/2.47 spl52_103 <=> sK4 = 3), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_103])])). 14.34/2.47 tff(f3786,plain,( 14.34/2.47 spl52_293 <=> ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF38))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_293])])). 14.34/2.47 tff(f11138,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | $less(sK1(X0,sF14,sF38),0) | $less(3,sF38) | $less(X1,X0) | ~$less(X1,sF38) | ~$less(length3(string_of_array1(sF14,X0,sF38)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X1))))))) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_293)), 14.34/2.47 inference(forward_demodulation,[],[f11128,f1183])). 14.34/2.47 tff(f1183,plain,( 14.34/2.47 sK4 = 3 | ~spl52_103), 14.34/2.47 inference(avatar_component_clause,[],[f1181])). 14.34/2.47 tff(f11128,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(sK4,sF38) | $less(X0,0) | ~$less(X1,sF38) | $less(X1,X0) | $less(sK1(X0,sF14,sF38),0) | ~$less(length3(string_of_array1(sF14,X0,sF38)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X1))))))) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_293)), 14.34/2.47 inference(resolution,[],[f3787,f2248])). 14.34/2.47 tff(f2248,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK1(X2,sF14,X1),X1) | $less(X0,X2) | $less(X2,0) | ~$less(X0,X1) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(sK4,X1)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(subsumption_resolution,[],[f2247,f683])). 14.34/2.47 tff(f2247,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK4,0) | ~$less(X0,X1) | $less(sK4,X1) | $less(X0,X2) | $less(X2,0) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(sK1(X2,sF14,X1),X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2246,f2011])). 14.34/2.47 tff(f2246,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X2) | $less(sK1(X2,sF14,X1),X1) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | ~$less(X0,X1) | $less(X2,0) | $less(sK4,X1) | $less(sF16,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2245,f1200])). 14.34/2.47 tff(f2245,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK4,X1) | ~$less(X0,X1) | $less(X2,0) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(X0,X2) | $less(sK1(X2,sF14,X1),X1) | $less(length5(rope,sF13),0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2244,f2011])). 14.34/2.47 tff(f2244,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X2) | $less(sF16,X1) | $less(X2,0) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(length5(rope,sF13),0) | $less(sK1(X2,sF14,X1),X1) | ~$less(X0,X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2243,f976])). 14.34/2.47 tff(f2243,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF15),0) | ~$less(X0,X1) | $less(sF16,X1) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(X0,X2) | $less(X2,0) | $less(sK1(X2,sF14,X1),X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2242,f1200])). 14.34/2.47 tff(f2242,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF13),X1) | $less(length5(rope,sF15),0) | $less(sK1(X2,sF14,X1),X1) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(X0,X2) | $less(X2,0) | ~$less(X0,X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2241,f976])). 14.34/2.47 tff(f2241,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF15),X1) | $less(X2,0) | $less(sK1(X2,sF14,X1),X1) | ~$less(X0,X1) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(length5(rope,sF15),0) | $less(X0,X2)) ) | (~spl52_30 | ~spl52_77 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2240,f1324])). 14.34/2.47 tff(f2240,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X2,0) | $less(sK1(X2,sF14,X1),X1) | ~$less(X0,X1) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X0)))))) | $less(length5(rope,sF15),X1) | $less(X0,X2) | $less(length5(rope,sF15),0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2232,f976])). 14.34/2.47 tff(f2232,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X2) | ~$less(length3(string_of_array1(sF14,X2,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(X0)))))) | $less(length5(rope,sF15),0) | $less(length5(rope,sF15),X1) | ~$less(X0,X1) | $less(X2,0) | $less(sK1(X2,sF14,X1),X1)) ) | ~spl52_30), 14.34/2.47 inference(superposition,[],[f484,f703])). 14.34/2.47 tff(f484,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),0) | ~$less(X3,X2) | $less(X3,X0) | $less(X0,0) | $less(sK1(X0,X1,X2),X2) | $less(length5(rope,t2tb1(X1)),X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(X3))))))) )), 14.34/2.47 inference(definition_unfolding,[],[f371,f466])). 14.34/2.47 tff(f371,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get2(rope,t2tb1(X1),X3))))) | $less(sK1(X0,X1,X2),X2) | ~$less(X3,X2) | $less(X3,X0) | $less(X0,0) | $less(length5(rope,t2tb1(X1)),0)) )), 14.34/2.47 inference(cnf_transformation,[],[f291])). 14.34/2.47 tff(f3787,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF38) | $less(X0,0)) ) | ~spl52_293), 14.34/2.47 inference(avatar_component_clause,[],[f3786])). 14.34/2.47 tff(f11135,plain,( 14.34/2.47 ~spl52_293 | ~spl52_565), 14.34/2.47 inference(avatar_contradiction_clause,[],[f11134])). 14.34/2.47 tff(f11134,plain,( 14.34/2.47 $false | (~spl52_293 | ~spl52_565)), 14.34/2.47 inference(subsumption_resolution,[],[f11115,f405])). 14.34/2.47 tff(f11115,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),0) | (~spl52_293 | ~spl52_565)), 14.34/2.47 inference(resolution,[],[f3787,f9940])). 14.34/2.47 tff(f11109,plain,( 14.34/2.47 spl52_603 | spl52_601 | spl52_598), 14.34/2.47 inference(avatar_split_clause,[],[f11095,f11009,f11098,f11107])). 14.34/2.47 tff(f11098,plain,( 14.34/2.47 spl52_601 <=> 0 = $sum(sF47,sF40)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_601])])). 14.34/2.47 tff(f11009,plain,( 14.34/2.47 spl52_598 <=> $less($sum(sF47,sF40),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_598])])). 14.34/2.47 tff(f11095,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF47,sF40) | ~$less(X0,0) | $less(X0,$sum(sF47,sF40))) ) | spl52_598), 14.34/2.47 inference(resolution,[],[f11011,f1052])). 14.34/2.47 tff(f11011,plain,( 14.34/2.47 ~$less($sum(sF47,sF40),0) | spl52_598), 14.34/2.47 inference(avatar_component_clause,[],[f11009])). 14.34/2.47 tff(f11105,plain,( 14.34/2.47 spl52_601 | spl52_602 | spl52_598), 14.34/2.47 inference(avatar_split_clause,[],[f11096,f11009,f11102,f11098])). 14.34/2.47 tff(f11096,plain,( 14.34/2.47 $less(0,$sum(sF47,sF40)) | 0 = $sum(sF47,sF40) | spl52_598), 14.34/2.47 inference(resolution,[],[f11011,f129])). 14.34/2.47 tff(f11030,plain,( 14.34/2.47 spl52_535 | spl52_600 | spl52_536), 14.34/2.47 inference(avatar_split_clause,[],[f11025,f9627,f11028,f9622])). 14.34/2.47 tff(f9622,plain,( 14.34/2.47 spl52_535 <=> 0 = $sum(sF47,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_535])])). 14.34/2.47 tff(f11028,plain,( 14.34/2.47 spl52_600 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_600])])). 14.34/2.47 tff(f9627,plain,( 14.34/2.47 spl52_536 <=> $less($sum(sF47,sF20),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_536])])). 14.34/2.47 tff(f11025,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF20)) | 0 = $sum(sF47,sF20)) ) | spl52_536), 14.34/2.47 inference(resolution,[],[f9628,f1052])). 14.34/2.47 tff(f9628,plain,( 14.34/2.47 ~$less($sum(sF47,sF20),0) | spl52_536), 14.34/2.47 inference(avatar_component_clause,[],[f9627])). 14.34/2.47 tff(f11023,plain,( 14.34/2.47 spl52_599 | spl52_528 | spl52_529), 14.34/2.47 inference(avatar_split_clause,[],[f11018,f9577,f9572,f11021])). 14.34/2.47 tff(f11021,plain,( 14.34/2.47 spl52_599 <=> ! [X0 : $int] : ($less(X0,$sum(sF47,sF47)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_599])])). 14.34/2.47 tff(f9572,plain,( 14.34/2.47 spl52_528 <=> 0 = $sum(sF47,sF47)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_528])])). 14.34/2.47 tff(f9577,plain,( 14.34/2.47 spl52_529 <=> $less($sum(sF47,sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_529])])). 14.34/2.47 tff(f11018,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF47,sF47)) | ~$less(X0,0) | 0 = $sum(sF47,sF47)) ) | spl52_529), 14.34/2.47 inference(resolution,[],[f9578,f1052])). 14.34/2.47 tff(f9578,plain,( 14.34/2.47 ~$less($sum(sF47,sF47),0) | spl52_529), 14.34/2.47 inference(avatar_component_clause,[],[f9577])). 14.34/2.47 tff(f11017,plain,( 14.34/2.47 ~spl52_536 | ~spl52_83 | ~spl52_124 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f11001,f2832,f1362,f1028,f9627])). 14.34/2.47 tff(f11001,plain,( 14.34/2.47 ~$less($sum(sF47,sF20),0) | (~spl52_83 | ~spl52_124 | ~spl52_231)), 14.34/2.47 inference(superposition,[],[f10887,f2834])). 14.34/2.47 tff(f11016,plain,( 14.34/2.47 ~spl52_536 | ~spl52_83 | ~spl52_124 | ~spl52_474), 14.34/2.47 inference(avatar_split_clause,[],[f10990,f8458,f1362,f1028,f9627])). 14.34/2.47 tff(f10990,plain,( 14.34/2.47 ~$less($sum(sF47,sF20),0) | (~spl52_83 | ~spl52_124 | ~spl52_474)), 14.34/2.47 inference(superposition,[],[f10887,f8460])). 14.34/2.47 tff(f11015,plain,( 14.34/2.47 ~spl52_529 | ~spl52_83 | ~spl52_124 | ~spl52_596), 14.34/2.47 inference(avatar_split_clause,[],[f10991,f10908,f1362,f1028,f9577])). 14.34/2.47 tff(f10991,plain,( 14.34/2.47 ~$less($sum(sF47,sF47),0) | (~spl52_83 | ~spl52_124 | ~spl52_596)), 14.34/2.47 inference(superposition,[],[f10887,f10910])). 14.34/2.47 tff(f11014,plain,( 14.34/2.47 ~spl52_529 | ~spl52_83 | ~spl52_124), 14.34/2.47 inference(avatar_split_clause,[],[f11013,f1362,f1028,f9577])). 14.34/2.47 tff(f11013,plain,( 14.34/2.47 ~$less($sum(sF47,sF47),0) | (~spl52_83 | ~spl52_124)), 14.34/2.47 inference(forward_demodulation,[],[f10992,f1364])). 14.34/2.47 tff(f10992,plain,( 14.34/2.47 ~$less($sum(sF47,length4(sK6)),0) | (~spl52_83 | ~spl52_124)), 14.34/2.47 inference(superposition,[],[f10887,f1030])). 14.34/2.47 tff(f11012,plain,( 14.34/2.47 ~spl52_598 | ~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_223), 14.34/2.47 inference(avatar_split_clause,[],[f11007,f2777,f1362,f1297,f1028,f11009])). 14.34/2.47 tff(f11007,plain,( 14.34/2.47 ~$less($sum(sF47,sF40),0) | (~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_223)), 14.34/2.47 inference(forward_demodulation,[],[f10993,f2779])). 14.34/2.47 tff(f10975,plain,( 14.34/2.47 ~spl52_597 | ~spl52_103 | spl52_200), 14.34/2.47 inference(avatar_split_clause,[],[f10970,f2565,f1181,f10972])). 14.34/2.47 tff(f10972,plain,( 14.34/2.47 spl52_597 <=> $less(sK2(2,3,sF31),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_597])])). 14.34/2.47 tff(f2565,plain,( 14.34/2.47 spl52_200 <=> $less(sK2(2,sK4,sF31),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_200])])). 14.34/2.47 tff(f10970,plain,( 14.34/2.47 ~$less(sK2(2,3,sF31),0) | (~spl52_103 | spl52_200)), 14.34/2.47 inference(forward_demodulation,[],[f2567,f1183])). 14.34/2.47 tff(f2567,plain,( 14.34/2.47 ~$less(sK2(2,sK4,sF31),0) | spl52_200), 14.34/2.47 inference(avatar_component_clause,[],[f2565])). 14.34/2.47 tff(f10911,plain,( 14.34/2.47 spl52_596 | ~spl52_9 | ~spl52_83 | ~spl52_124), 14.34/2.47 inference(avatar_split_clause,[],[f10906,f1362,f1028,f596,f10908])). 14.34/2.47 tff(f10906,plain,( 14.34/2.47 sF47 = length3(string3(sK6)) | (~spl52_9 | ~spl52_83 | ~spl52_124)), 14.34/2.47 inference(evaluation,[],[f10905])). 14.34/2.47 tff(f10905,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(sF47,0) | (~spl52_9 | ~spl52_83 | ~spl52_124)), 14.34/2.47 inference(forward_demodulation,[],[f10882,f598])). 14.34/2.47 tff(f10882,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(sF47,length3(empty1)) | (~spl52_9 | ~spl52_83 | ~spl52_124)), 14.34/2.47 inference(superposition,[],[f1151,f10818])). 14.34/2.47 tff(f10814,plain,( 14.34/2.47 spl52_595 | ~spl52_146), 14.34/2.47 inference(avatar_split_clause,[],[f10786,f1688,f10811])). 14.34/2.47 tff(f10811,plain,( 14.34/2.47 spl52_595 <=> string3(sK9) = app2(string3(app_proj_11(sK9)),string3(app_proj_21(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_595])])). 14.34/2.47 tff(f10786,plain,( 14.34/2.47 string3(sK9) = app2(string3(app_proj_11(sK9)),string3(app_proj_21(sK9))) | ~spl52_146), 14.34/2.47 inference(superposition,[],[f3806,f396])). 14.34/2.47 tff(f396,plain,( 14.34/2.47 ( ! [X3 : rope1,X4 : rope1,X5 : $int] : (string3(app3(X3,X4,X5)) = app2(string3(X3),string3(X4))) )), 14.34/2.47 inference(cnf_transformation,[],[f301])). 14.34/2.47 tff(f3806,plain,( 14.34/2.47 ( ! [X0 : $int] : (string3(sK9) = string3(app3(app_proj_11(sK9),app_proj_21(sK9),X0))) ) | ~spl52_146), 14.34/2.47 inference(superposition,[],[f1220,f1690])). 14.34/2.47 tff(f1220,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : rope1,X1 : rope1] : (string3(app3(X0,X1,X2)) = string3(app3(X0,X1,X3))) )), 14.34/2.47 inference(superposition,[],[f396,f396])). 14.34/2.47 tff(f10772,plain,( 14.34/2.47 spl52_593 | spl52_594 | spl52_583), 14.34/2.47 inference(avatar_split_clause,[],[f10763,f10233,f10770,f10766])). 14.34/2.47 tff(f10766,plain,( 14.34/2.47 spl52_593 <=> 3 = sK2(2,3,sF31)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_593])])). 14.34/2.47 tff(f10770,plain,( 14.34/2.47 spl52_594 <=> ! [X0 : $int] : (~$less(X0,sK2(2,3,sF31)) | $less(X0,3))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_594])])). 14.34/2.47 tff(f10233,plain,( 14.34/2.47 spl52_583 <=> $less(3,sK2(2,3,sF31))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_583])])). 14.34/2.47 tff(f10763,plain,( 14.34/2.47 ( ! [X0 : $int] : (3 = sK2(2,3,sF31) | ~$less(X0,sK2(2,3,sF31)) | $less(X0,3)) ) | spl52_583), 14.34/2.47 inference(resolution,[],[f10235,f1052])). 14.34/2.47 tff(f10235,plain,( 14.34/2.47 ~$less(3,sK2(2,3,sF31)) | spl52_583), 14.34/2.47 inference(avatar_component_clause,[],[f10233])). 14.34/2.47 tff(f10675,plain,( 14.34/2.47 spl52_591 | spl52_592 | spl52_198), 14.34/2.47 inference(avatar_split_clause,[],[f10662,f2543,f10672,f10667])). 14.34/2.47 tff(f10662,plain,( 14.34/2.47 $less(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),0) | 0 = length4(tb2t2(get(rope,int,sF29,t2tb(2)))) | spl52_198), 14.34/2.47 inference(resolution,[],[f2545,f129])). 14.34/2.47 tff(f10670,plain,( 14.34/2.47 spl52_590 | spl52_591 | spl52_198), 14.34/2.47 inference(avatar_split_clause,[],[f10661,f2543,f10667,f10664])). 14.34/2.47 tff(f10661,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length4(tb2t2(get(rope,int,sF29,t2tb(2))))) | 0 = length4(tb2t2(get(rope,int,sF29,t2tb(2))))) ) | spl52_198), 14.34/2.47 inference(resolution,[],[f2545,f1052])). 14.34/2.47 tff(f10660,plain,( 14.34/2.47 spl52_588 | spl52_589 | spl52_194), 14.34/2.47 inference(avatar_split_clause,[],[f10647,f2523,f10657,f10652])). 14.34/2.47 tff(f10647,plain,( 14.34/2.47 0 = length4(tb2t2(get(rope,int,sF12,t2tb(2)))) | $less(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),0) | spl52_194), 14.34/2.47 inference(resolution,[],[f2525,f129])). 14.34/2.47 tff(f10655,plain,( 14.34/2.47 spl52_587 | spl52_588 | spl52_194), 14.34/2.47 inference(avatar_split_clause,[],[f10646,f2523,f10652,f10649])). 14.34/2.47 tff(f10646,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length4(tb2t2(get(rope,int,sF12,t2tb(2))))) | 0 = length4(tb2t2(get(rope,int,sF12,t2tb(2))))) ) | spl52_194), 14.34/2.47 inference(resolution,[],[f2525,f1052])). 14.34/2.47 tff(f10622,plain,( 14.34/2.47 spl52_586 | ~spl52_10 | ~spl52_100 | ~spl52_426 | ~spl52_430), 14.34/2.47 inference(avatar_split_clause,[],[f10617,f6326,f6200,f1154,f601,f10619])). 14.34/2.47 tff(f10619,plain,( 14.34/2.47 spl52_586 <=> sF26 = length3(sF34)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_586])])). 14.34/2.47 tff(f6200,plain,( 14.34/2.47 spl52_426 <=> ! [X0 : string2] : length3(app2(X0,sF35)) = $sum(length3(X0),sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_426])])). 14.34/2.47 tff(f6326,plain,( 14.34/2.47 spl52_430 <=> sF26 = $sum(sF18,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_430])])). 14.34/2.47 tff(f10617,plain,( 14.34/2.47 sF26 = length3(sF34) | (~spl52_10 | ~spl52_100 | ~spl52_426 | ~spl52_430)), 14.34/2.47 inference(forward_demodulation,[],[f10616,f6328])). 14.34/2.47 tff(f6328,plain,( 14.34/2.47 sF26 = $sum(sF18,sF20) | ~spl52_430), 14.34/2.47 inference(avatar_component_clause,[],[f6326])). 14.34/2.47 tff(f10616,plain,( 14.34/2.47 length3(sF34) = $sum(sF18,sF20) | (~spl52_10 | ~spl52_100 | ~spl52_426)), 14.34/2.47 inference(forward_demodulation,[],[f10585,f603])). 14.34/2.47 tff(f10585,plain,( 14.34/2.47 length3(sF34) = $sum(length3(sF17),sF20) | (~spl52_100 | ~spl52_426)), 14.34/2.47 inference(superposition,[],[f6201,f1156])). 14.34/2.47 tff(f6201,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,sF35)) = $sum(length3(X0),sF20)) ) | ~spl52_426), 14.34/2.47 inference(avatar_component_clause,[],[f6200])). 14.34/2.47 tff(f10582,plain,( 14.34/2.47 spl52_443 | spl52_463 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_138 | ~spl52_175), 14.34/2.47 inference(avatar_split_clause,[],[f10581,f2028,f1492,f1372,f1181,f1167,f854,f7583,f6494])). 14.34/2.47 tff(f6494,plain,( 14.34/2.47 spl52_443 <=> ! [X3 : $int] : ($less(X3,0) | ~$less(X3,3))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_443])])). 14.34/2.47 tff(f10581,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_138 | ~spl52_175)), 14.34/2.47 inference(evaluation,[],[f10580])). 14.34/2.47 tff(f10580,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2))) | $less(3,3) | ~$less(X0,3) | $less(X0,0)) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_138 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10579,f1183])). 14.34/2.47 tff(f10579,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2))) | ~$less(X0,3) | $less(X0,0) | $less(sK4,3)) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_138 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10578,f1183])). 14.34/2.47 tff(f10544,plain,( 14.34/2.47 ~spl52_419 | spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_138 | spl52_167 | ~spl52_175), 14.34/2.47 inference(avatar_split_clause,[],[f10543,f2028,f1918,f1492,f1372,f1181,f1167,f854,f681,f6087])). 14.34/2.47 tff(f10543,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,3,sF31)))) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10542,f1374])). 14.34/2.47 tff(f10542,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK2(2,3,sF31)))) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10541,f856])). 14.34/2.47 tff(f10541,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(evaluation,[],[f10540])). 14.34/2.47 tff(f10540,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,3,sF31)))) | $less(3,3) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_138 | spl52_167 | ~spl52_175)), 14.34/2.47 inference(forward_demodulation,[],[f10539,f1183])). 14.34/2.47 tff(f10521,plain,( 14.34/2.47 ~spl52_422 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f10520,f2009,f1892,f1460,f1322,f1198,f1181,f974,f701,f681,f6102])). 14.34/2.47 tff(f10520,plain,( 14.34/2.47 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173)), 14.34/2.47 inference(evaluation,[],[f10519])). 14.34/2.47 tff(f10519,plain,( 14.34/2.47 $less(3,3) | emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | spl52_162 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10518,f1183])). 14.34/2.47 tff(f10505,plain,( 14.34/2.47 spl52_462 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f10504,f2009,f1460,f1322,f1198,f1181,f974,f701,f681,f7559])). 14.34/2.47 tff(f10504,plain,( 14.34/2.47 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(evaluation,[],[f10503])). 14.34/2.47 tff(f10503,plain,( 14.34/2.47 $less(3,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10451,f1183])). 14.34/2.47 tff(f10470,plain,( 14.34/2.47 spl52_462 | spl52_443 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f10469,f2009,f1460,f1322,f1198,f1181,f974,f701,f6494,f7559])). 14.34/2.47 tff(f10469,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(evaluation,[],[f10468])). 14.34/2.47 tff(f10468,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | $less(3,3) | ~$less(X0,3) | $less(X0,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10467,f1183])). 14.34/2.47 tff(f10467,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | $less(X0,0) | ~$less(X0,3) | $less(sK4,3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10466,f2011])). 14.34/2.47 tff(f10466,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(sF16,3) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10465,f1200])). 14.34/2.47 tff(f10465,plain,( 14.34/2.47 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3) | $less(length5(rope,sF13),3) | $less(X0,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_134 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f10464,f1183])). 14.34/2.47 tff(f10426,plain,( 14.34/2.47 spl52_585 | ~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_223 | ~spl52_254 | ~spl52_425), 14.34/2.47 inference(avatar_split_clause,[],[f10421,f6193,f3143,f2777,f1362,f1297,f1028,f10423])). 14.34/2.47 tff(f10423,plain,( 14.34/2.47 spl52_585 <=> sF47 = $sum(sF20,sF40)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_585])])). 14.34/2.47 tff(f10421,plain,( 14.34/2.47 sF47 = $sum(sF20,sF40) | (~spl52_83 | ~spl52_117 | ~spl52_124 | ~spl52_223 | ~spl52_254 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f10420,f1364])). 14.34/2.47 tff(f10420,plain,( 14.34/2.47 length4(sK6) = $sum(sF20,sF40) | (~spl52_83 | ~spl52_117 | ~spl52_223 | ~spl52_254 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f10419,f1030])). 14.34/2.47 tff(f10419,plain,( 14.34/2.47 length3(string3(sK6)) = $sum(sF20,sF40) | (~spl52_117 | ~spl52_223 | ~spl52_254 | ~spl52_425)), 14.34/2.47 inference(forward_demodulation,[],[f10418,f2779])). 14.34/2.47 tff(f10368,plain,( 14.34/2.47 spl52_576 | ~spl52_482), 14.34/2.47 inference(avatar_split_clause,[],[f10367,f9214,f10134])). 14.34/2.47 tff(f10134,plain,( 14.34/2.47 spl52_576 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF22)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_576])])). 14.34/2.47 tff(f9214,plain,( 14.34/2.47 spl52_482 <=> $less(0,$sum(sF26,sF22))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_482])])). 14.34/2.47 tff(f10367,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF26,sF22)) | ~$less(X0,0)) ) | ~spl52_482), 14.34/2.47 inference(resolution,[],[f9216,f128])). 14.34/2.47 tff(f9216,plain,( 14.34/2.47 $less(0,$sum(sF26,sF22)) | ~spl52_482), 14.34/2.47 inference(avatar_component_clause,[],[f9214])). 14.34/2.47 tff(f10366,plain,( 14.34/2.47 spl52_563 | ~spl52_481), 14.34/2.47 inference(avatar_split_clause,[],[f10365,f9209,f9928])). 14.34/2.47 tff(f9928,plain,( 14.34/2.47 spl52_563 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF22,sF26)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_563])])). 14.34/2.47 tff(f9209,plain,( 14.34/2.47 spl52_481 <=> $less(0,$sum(sF22,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_481])])). 14.34/2.47 tff(f10365,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF22,sF26))) ) | ~spl52_481), 14.34/2.47 inference(resolution,[],[f9211,f128])). 14.34/2.47 tff(f9211,plain,( 14.34/2.47 $less(0,$sum(sF22,sF26)) | ~spl52_481), 14.34/2.47 inference(avatar_component_clause,[],[f9209])). 14.34/2.47 tff(f10364,plain,( 14.34/2.47 spl52_547 | ~spl52_500), 14.34/2.47 inference(avatar_split_clause,[],[f10363,f9304,f9803])). 14.34/2.47 tff(f9803,plain,( 14.34/2.47 spl52_547 <=> ! [X0 : $int] : ($less(X0,$sum(sF26,sF40)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_547])])). 14.34/2.47 tff(f9304,plain,( 14.34/2.47 spl52_500 <=> $less(0,$sum(sF26,sF40))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_500])])). 14.34/2.47 tff(f10363,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF40))) ) | ~spl52_500), 14.34/2.47 inference(resolution,[],[f9306,f128])). 14.34/2.47 tff(f9306,plain,( 14.34/2.47 $less(0,$sum(sF26,sF40)) | ~spl52_500), 14.34/2.47 inference(avatar_component_clause,[],[f9304])). 14.34/2.47 tff(f10342,plain,( 14.34/2.47 spl52_123 | ~spl52_125 | ~spl52_126), 14.34/2.47 inference(avatar_split_clause,[],[f10341,f1377,f1372,f1356])). 14.34/2.47 tff(f1356,plain,( 14.34/2.47 spl52_123 <=> sF30 = mk_array1(rope,3,sF29)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_123])])). 14.34/2.47 tff(f1377,plain,( 14.34/2.47 spl52_126 <=> length5(rope,sF30) = 3), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_126])])). 14.34/2.47 tff(f10341,plain,( 14.34/2.47 sF30 = mk_array1(rope,3,sF29) | (~spl52_125 | ~spl52_126)), 14.34/2.47 inference(forward_demodulation,[],[f10327,f1374])). 14.34/2.47 tff(f10327,plain,( 14.34/2.47 sF30 = mk_array1(rope,3,elts(rope,sF30)) | ~spl52_126), 14.34/2.47 inference(superposition,[],[f406,f1379])). 14.34/2.47 tff(f1379,plain,( 14.34/2.47 length5(rope,sF30) = 3 | ~spl52_126), 14.34/2.47 inference(avatar_component_clause,[],[f1377])). 14.34/2.47 tff(f406,plain,( 14.34/2.47 ( ! [X0 : ty,X1 : uni] : (mk_array1(X0,length5(X0,X1),elts(X0,X1)) = X1) )), 14.34/2.47 inference(cnf_transformation,[],[f306])). 14.34/2.47 tff(f306,plain,( 14.34/2.47 ! [X0 : ty,X1 : uni] : mk_array1(X0,length5(X0,X1),elts(X0,X1)) = X1), 14.34/2.47 inference(rectify,[],[f213])). 14.34/2.47 tff(f213,plain,( 14.34/2.47 ! [X1 : ty,X0 : uni] : mk_array1(X1,length5(X1,X0),elts(X1,X0)) = X0), 14.34/2.47 inference(rectify,[],[f94])). 14.34/2.47 tff(f94,axiom,( 14.34/2.47 ! [X0 : uni,X7 : ty] : mk_array1(X7,length5(X7,X0),elts(X7,X0)) = X0), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f10340,plain,( 14.34/2.47 spl52_444 | ~spl52_1 | ~spl52_126), 14.34/2.47 inference(avatar_split_clause,[],[f10339,f1377,f556,f6497])). 14.34/2.47 tff(f6497,plain,( 14.34/2.47 spl52_444 <=> ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(3,X0) | $less(X1,X2) | $less(X2,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_444])])). 14.34/2.47 tff(f556,plain,( 14.34/2.47 spl52_1 <=> tb2t1(sF30) = sF31), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_1])])). 14.34/2.47 tff(f10339,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(3,X0) | $less(X2,0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(X0,X1) | $less(X1,X2)) ) | (~spl52_1 | ~spl52_126)), 14.34/2.47 inference(forward_demodulation,[],[f10329,f558])). 14.34/2.47 tff(f558,plain,( 14.34/2.47 tb2t1(sF30) = sF31 | ~spl52_1), 14.34/2.47 inference(avatar_component_clause,[],[f556])). 14.34/2.47 tff(f10329,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,X2) | $less(X2,0) | $less(X0,X1) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1))) | $less(3,X0)) ) | ~spl52_126), 14.34/2.47 inference(evaluation,[],[f10320])). 14.34/2.47 tff(f10320,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1))) | $less(X1,X2) | $less(X0,X1) | $less(3,0) | $less(X2,0) | $less(3,X0)) ) | ~spl52_126), 14.34/2.47 inference(superposition,[],[f1978,f1379])). 14.34/2.47 tff(f1978,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int] : ($less(length5(rope,X0),0) | $less(length5(rope,X0),X3) | $less(X1,X2) | $less(X2,0) | $less(X3,X1) | infix_eqeq1(string_of_array1(tb2t1(X0),X2,X3),app2(string_of_array1(tb2t1(X0),X1,X3),string_of_array1(tb2t1(X0),X2,X1)))) )), 14.34/2.47 inference(superposition,[],[f461,f347])). 14.34/2.47 tff(f347,plain,( 14.34/2.47 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 14.34/2.47 inference(cnf_transformation,[],[f168])). 14.34/2.47 tff(f168,plain,( 14.34/2.47 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 14.34/2.47 inference(rectify,[],[f9])). 14.34/2.47 tff(f9,axiom,( 14.34/2.47 ! [X11 : uni] : t2tb1(tb2t1(X11)) = X11), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f461,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : array_rope,X0 : $int,X1 : $int] : ($less(length5(rope,t2tb1(X3)),0) | $less(X0,X2) | $less(length5(rope,t2tb1(X3)),X1) | infix_eqeq1(string_of_array1(X3,X2,X1),app2(string_of_array1(X3,X0,X1),string_of_array1(X3,X2,X0))) | $less(X2,0) | $less(X1,X0)) )), 14.34/2.47 inference(cnf_transformation,[],[f334])). 14.34/2.47 tff(f334,plain,( 14.34/2.47 ! [X0 : $int,X1 : $int,X2 : $int,X3 : array_rope] : ($less(length5(rope,t2tb1(X3)),X1) | $less(X0,X2) | infix_eqeq1(string_of_array1(X3,X2,X1),app2(string_of_array1(X3,X0,X1),string_of_array1(X3,X2,X0))) | $less(X2,0) | $less(length5(rope,t2tb1(X3)),0) | $less(X1,X0))), 14.34/2.47 inference(rectify,[],[f260])). 14.34/2.47 tff(f260,plain,( 14.34/2.47 ! [X1 : $int,X3 : $int,X0 : $int,X2 : array_rope] : ($less(length5(rope,t2tb1(X2)),X3) | $less(X1,X0) | infix_eqeq1(string_of_array1(X2,X0,X3),app2(string_of_array1(X2,X1,X3),string_of_array1(X2,X0,X1))) | $less(X0,0) | $less(length5(rope,t2tb1(X2)),0) | $less(X3,X1))), 14.34/2.47 inference(flattening,[],[f259])). 14.34/2.47 tff(f259,plain,( 14.34/2.47 ! [X1 : $int,X3 : $int,X2 : array_rope,X0 : $int] : (infix_eqeq1(string_of_array1(X2,X0,X3),app2(string_of_array1(X2,X1,X3),string_of_array1(X2,X0,X1))) | ($less(X1,X0) | $less(length5(rope,t2tb1(X2)),0) | $less(length5(rope,t2tb1(X2)),X3) | $less(X0,0) | $less(X3,X1)))), 14.34/2.47 inference(ennf_transformation,[],[f191])). 14.34/2.47 tff(f191,plain,( 14.34/2.47 ! [X1 : $int,X3 : $int,X2 : array_rope,X0 : $int] : ((~$less(X1,X0) & ~$less(length5(rope,t2tb1(X2)),0) & ~$less(length5(rope,t2tb1(X2)),X3) & ~$less(X0,0) & ~$less(X3,X1)) => infix_eqeq1(string_of_array1(X2,X0,X3),app2(string_of_array1(X2,X1,X3),string_of_array1(X2,X0,X1))))), 14.34/2.47 inference(rectify,[],[f107])). 14.34/2.47 tff(f107,plain,( 14.34/2.47 ! [X25 : $int,X29 : $int,X3 : array_rope,X0 : $int] : ((~$less(X0,X29) & ~$less(length5(rope,t2tb1(X3)),0) & ~$less(X25,0) & ~$less(length5(rope,t2tb1(X3)),X0) & ~$less(X29,X25)) => infix_eqeq1(string_of_array1(X3,X25,X0),app2(string_of_array1(X3,X29,X0),string_of_array1(X3,X25,X29))))), 14.34/2.47 inference(theory_normalization,[],[f68])). 14.34/2.47 tff(f68,axiom,( 14.34/2.47 ! [X25 : $int,X29 : $int,X3 : array_rope,X0 : $int] : (($lesseq(X29,X0) & $lesseq(0,length5(rope,t2tb1(X3))) & $lesseq(0,X25) & $lesseq(X0,length5(rope,t2tb1(X3))) & $lesseq(X25,X29)) => infix_eqeq1(string_of_array1(X3,X25,X0),app2(string_of_array1(X3,X29,X0),string_of_array1(X3,X25,X29))))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f10334,plain,( 14.34/2.47 spl52_464 | ~spl52_1 | ~spl52_125 | ~spl52_126), 14.34/2.47 inference(avatar_split_clause,[],[f10333,f1377,f1372,f556,f7596])). 14.34/2.47 tff(f7596,plain,( 14.34/2.47 spl52_464 <=> ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(X0,0) | $less(3,X1))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_464])])). 14.34/2.47 tff(f10333,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(3,X1) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(X0,0)) ) | (~spl52_1 | ~spl52_125 | ~spl52_126)), 14.34/2.47 inference(forward_demodulation,[],[f10332,f1374])). 14.34/2.47 tff(f10332,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(3,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1))))) ) | (~spl52_1 | ~spl52_126)), 14.34/2.47 inference(forward_demodulation,[],[f10331,f558])). 14.34/2.47 tff(f10331,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1)))) | $less(3,X1)) ) | ~spl52_126), 14.34/2.47 inference(evaluation,[],[f10322])). 14.34/2.47 tff(f10322,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(3,0) | $less(X0,0) | $less(3,X1) | ~$less(X0,X1) | infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1))))) ) | ~spl52_126), 14.34/2.47 inference(superposition,[],[f2160,f1379])). 14.34/2.47 tff(f2160,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : uni,X1 : $int] : ($less(length5(rope,X0),0) | ~$less(X2,X1) | infix_eqeq1(string_of_array1(tb2t1(X0),X2,X1),app2(string3(tb2t2(get(rope,int,elts(rope,X0),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(X0),X2,$sum(X1,-1)))) | $less(X2,0) | $less(length5(rope,X0),X1)) )), 14.34/2.47 inference(superposition,[],[f553,f347])). 14.34/2.47 tff(f10244,plain,( 14.34/2.47 spl52_584 | spl52_89 | spl52_88), 14.34/2.47 inference(avatar_split_clause,[],[f10237,f1070,f1074,f10242])). 14.34/2.47 tff(f10242,plain,( 14.34/2.47 spl52_584 <=> ! [X0 : $int] : (~$less(X0,sF44) | $less(X0,sF28))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_584])])). 14.34/2.47 tff(f1070,plain,( 14.34/2.47 spl52_88 <=> $less(sF28,sF44)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_88])])). 14.34/2.47 tff(f10237,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF44) | $less(X0,sF28) | sF28 = sF44) ) | spl52_88), 14.34/2.47 inference(resolution,[],[f1071,f1052])). 14.34/2.47 tff(f1071,plain,( 14.34/2.47 ~$less(sF28,sF44) | spl52_88), 14.34/2.47 inference(avatar_component_clause,[],[f1070])). 14.34/2.47 tff(f10240,plain,( 14.34/2.47 spl52_89 | spl52_59 | spl52_88), 14.34/2.47 inference(avatar_split_clause,[],[f10239,f1070,f846,f1074])). 14.34/2.47 tff(f846,plain,( 14.34/2.47 spl52_59 <=> $less(sF44,sF28)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_59])])). 14.34/2.47 tff(f10239,plain,( 14.34/2.47 sF28 = sF44 | (spl52_59 | spl52_88)), 14.34/2.47 inference(subsumption_resolution,[],[f10238,f848])). 14.34/2.47 tff(f848,plain,( 14.34/2.47 ~$less(sF44,sF28) | spl52_59), 14.34/2.47 inference(avatar_component_clause,[],[f846])). 14.34/2.47 tff(f10238,plain,( 14.34/2.47 sF28 = sF44 | $less(sF44,sF28) | spl52_88), 14.34/2.47 inference(resolution,[],[f1071,f129])). 14.34/2.47 tff(f10236,plain,( 14.34/2.47 ~spl52_583 | ~spl52_103 | spl52_192), 14.34/2.47 inference(avatar_split_clause,[],[f10217,f2505,f1181,f10233])). 14.34/2.47 tff(f2505,plain,( 14.34/2.47 spl52_192 <=> $less(sK4,sK2(2,sK4,sF31))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_192])])). 14.34/2.47 tff(f10217,plain,( 14.34/2.47 ~$less(3,sK2(2,3,sF31)) | (~spl52_103 | spl52_192)), 14.34/2.47 inference(superposition,[],[f2506,f1183])). 14.34/2.47 tff(f2506,plain,( 14.34/2.47 ~$less(sK4,sK2(2,sK4,sF31)) | spl52_192), 14.34/2.47 inference(avatar_component_clause,[],[f2505])). 14.34/2.47 tff(f10231,plain,( 14.34/2.47 spl52_582 | ~spl52_103 | ~spl52_407), 14.34/2.47 inference(avatar_split_clause,[],[f10225,f5972,f1181,f10228])). 14.34/2.47 tff(f10228,plain,( 14.34/2.47 spl52_582 <=> $less(3,sF51)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_582])])). 14.34/2.47 tff(f5972,plain,( 14.34/2.47 spl52_407 <=> $less(sK4,sF51)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_407])])). 14.34/2.47 tff(f10225,plain,( 14.34/2.47 $less(3,sF51) | (~spl52_103 | ~spl52_407)), 14.34/2.47 inference(superposition,[],[f5974,f1183])). 14.34/2.47 tff(f5974,plain,( 14.34/2.47 $less(sK4,sF51) | ~spl52_407), 14.34/2.47 inference(avatar_component_clause,[],[f5972])). 14.34/2.47 tff(f10226,plain,( 14.34/2.47 spl52_320 | ~spl52_103 | ~spl52_182), 14.34/2.47 inference(avatar_split_clause,[],[f10214,f2259,f1181,f4223])). 14.34/2.47 tff(f4223,plain,( 14.34/2.47 spl52_320 <=> $less(max3,3)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_320])])). 14.34/2.47 tff(f2259,plain,( 14.34/2.47 spl52_182 <=> $less(max3,sK4)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_182])])). 14.34/2.47 tff(f10214,plain,( 14.34/2.47 $less(max3,3) | (~spl52_103 | ~spl52_182)), 14.34/2.47 inference(superposition,[],[f2261,f1183])). 14.34/2.47 tff(f2261,plain,( 14.34/2.47 $less(max3,sK4) | ~spl52_182), 14.34/2.47 inference(avatar_component_clause,[],[f2259])). 14.34/2.47 tff(f10198,plain,( 14.34/2.47 spl52_565 | ~spl52_209 | ~spl52_248), 14.34/2.47 inference(avatar_split_clause,[],[f10197,f3005,f2678,f9939])). 14.34/2.47 tff(f3005,plain,( 14.34/2.47 spl52_248 <=> 0 = str_proj_21(sK9)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_248])])). 14.34/2.47 tff(f10197,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),sF38) | (~spl52_209 | ~spl52_248)), 14.34/2.47 inference(evaluation,[],[f10196])). 14.34/2.47 tff(f10196,plain,( 14.34/2.47 $less(length3(str_proj_11(sK9)),$sum(0,sF38)) | (~spl52_209 | ~spl52_248)), 14.34/2.47 inference(forward_demodulation,[],[f2680,f3007])). 14.34/2.47 tff(f3007,plain,( 14.34/2.47 0 = str_proj_21(sK9) | ~spl52_248), 14.34/2.47 inference(avatar_component_clause,[],[f3005])). 14.34/2.47 tff(f10195,plain,( 14.34/2.47 spl52_581 | spl52_89 | spl52_59), 14.34/2.47 inference(avatar_split_clause,[],[f3304,f846,f1074,f10193])). 14.34/2.47 tff(f10193,plain,( 14.34/2.47 spl52_581 <=> ! [X0 : $int] : (~$less(X0,sF28) | $less(X0,sF44))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_581])])). 14.34/2.47 tff(f3304,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF28) | $less(X0,sF44) | sF28 = sF44) ) | spl52_59), 14.34/2.47 inference(resolution,[],[f1052,f848])). 14.34/2.47 tff(f10188,plain,( 14.34/2.47 spl52_215 | spl52_259 | ~spl52_567), 14.34/2.47 inference(avatar_contradiction_clause,[],[f10187])). 14.34/2.47 tff(f10187,plain,( 14.34/2.47 $false | (spl52_215 | spl52_259 | ~spl52_567)), 14.34/2.47 inference(subsumption_resolution,[],[f10186,f2709])). 14.34/2.47 tff(f2709,plain,( 14.34/2.47 ~$less(0,sF38) | spl52_215), 14.34/2.47 inference(avatar_component_clause,[],[f2708])). 14.34/2.47 tff(f10186,plain,( 14.34/2.47 $less(0,sF38) | (spl52_259 | ~spl52_567)), 14.34/2.47 inference(subsumption_resolution,[],[f10145,f3312])). 14.34/2.47 tff(f3312,plain,( 14.34/2.47 0 != sF38 | spl52_259), 14.34/2.47 inference(avatar_component_clause,[],[f3311])). 14.34/2.47 tff(f10145,plain,( 14.34/2.47 0 = sF38 | $less(0,sF38) | ~spl52_567), 14.34/2.47 inference(superposition,[],[f1053,f9951])). 14.34/2.47 tff(f9951,plain,( 14.34/2.47 sF38 = length3(str_proj_11(sK9)) | ~spl52_567), 14.34/2.47 inference(avatar_component_clause,[],[f9949])). 14.34/2.47 tff(f1053,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(0,length3(X0)) | 0 = length3(X0)) )), 14.34/2.47 inference(resolution,[],[f129,f405])). 14.34/2.47 tff(f10185,plain,( 14.34/2.47 ~spl52_580 | ~spl52_10 | ~spl52_567), 14.34/2.47 inference(avatar_split_clause,[],[f10149,f9949,f601,f10182])). 14.34/2.47 tff(f10149,plain,( 14.34/2.47 ~$less($sum(sF18,sF38),0) | (~spl52_10 | ~spl52_567)), 14.34/2.47 inference(superposition,[],[f2972,f9951])). 14.34/2.47 tff(f10177,plain,( 14.34/2.47 ~spl52_213 | ~spl52_567), 14.34/2.47 inference(avatar_contradiction_clause,[],[f10176])). 14.34/2.47 tff(f10176,plain,( 14.34/2.47 $false | (~spl52_213 | ~spl52_567)), 14.34/2.47 inference(subsumption_resolution,[],[f10142,f2697])). 14.34/2.47 tff(f2697,plain,( 14.34/2.47 $less(sF38,0) | ~spl52_213), 14.34/2.47 inference(avatar_component_clause,[],[f2695])). 14.34/2.47 tff(f10142,plain,( 14.34/2.47 ~$less(sF38,0) | ~spl52_567), 14.34/2.47 inference(superposition,[],[f405,f9951])). 14.34/2.47 tff(f10175,plain,( 14.34/2.47 ~spl52_579 | ~spl52_8 | ~spl52_477 | ~spl52_567), 14.34/2.47 inference(avatar_split_clause,[],[f10170,f9949,f9161,f591,f10172])). 14.34/2.47 tff(f10170,plain,( 14.34/2.47 ~$less($sum(sF38,sF26),0) | (~spl52_8 | ~spl52_477 | ~spl52_567)), 14.34/2.47 inference(forward_demodulation,[],[f10152,f9163])). 14.34/2.47 tff(f10152,plain,( 14.34/2.47 ~$less($sum(sF38,sF37),0) | (~spl52_8 | ~spl52_567)), 14.34/2.47 inference(superposition,[],[f3063,f9951])). 14.34/2.47 tff(f10169,plain,( 14.34/2.47 ~spl52_578 | ~spl52_8 | ~spl52_477 | ~spl52_567), 14.34/2.47 inference(avatar_split_clause,[],[f10164,f9949,f9161,f591,f10166])). 14.34/2.47 tff(f10166,plain,( 14.34/2.47 spl52_578 <=> $less($sum(sF26,sF38),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_578])])). 14.34/2.47 tff(f10164,plain,( 14.34/2.47 ~$less($sum(sF26,sF38),0) | (~spl52_8 | ~spl52_477 | ~spl52_567)), 14.34/2.47 inference(forward_demodulation,[],[f10150,f9163])). 14.34/2.47 tff(f10150,plain,( 14.34/2.47 ~$less($sum(sF37,sF38),0) | (~spl52_8 | ~spl52_567)), 14.34/2.47 inference(superposition,[],[f2991,f9951])). 14.34/2.47 tff(f10163,plain,( 14.34/2.47 ~spl52_577 | ~spl52_10 | ~spl52_567), 14.34/2.47 inference(avatar_split_clause,[],[f10151,f9949,f601,f10160])). 14.34/2.47 tff(f10151,plain,( 14.34/2.47 ~$less($sum(sF38,sF18),0) | (~spl52_10 | ~spl52_567)), 14.34/2.47 inference(superposition,[],[f3026,f9951])). 14.34/2.47 tff(f10136,plain,( 14.34/2.47 spl52_576 | spl52_575 | spl52_497), 14.34/2.47 inference(avatar_split_clause,[],[f10126,f9289,f10129,f10134])). 14.34/2.47 tff(f10129,plain,( 14.34/2.47 spl52_575 <=> 0 = $sum(sF26,sF22)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_575])])). 14.34/2.47 tff(f9289,plain,( 14.34/2.47 spl52_497 <=> $less($sum(sF26,sF22),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_497])])). 14.34/2.47 tff(f10126,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | 0 = $sum(sF26,sF22) | $less(X0,$sum(sF26,sF22))) ) | spl52_497), 14.34/2.47 inference(resolution,[],[f9291,f1052])). 14.34/2.47 tff(f9291,plain,( 14.34/2.47 ~$less($sum(sF26,sF22),0) | spl52_497), 14.34/2.47 inference(avatar_component_clause,[],[f9289])). 14.34/2.47 tff(f10132,plain,( 14.34/2.47 spl52_575 | spl52_482 | spl52_497), 14.34/2.47 inference(avatar_split_clause,[],[f10127,f9289,f9214,f10129])). 14.34/2.47 tff(f10127,plain,( 14.34/2.47 $less(0,$sum(sF26,sF22)) | 0 = $sum(sF26,sF22) | spl52_497), 14.34/2.47 inference(resolution,[],[f9291,f129])). 14.34/2.47 tff(f10116,plain,( 14.34/2.47 spl52_516 | ~spl52_495), 14.34/2.47 inference(avatar_split_clause,[],[f10115,f9279,f9486])). 14.34/2.47 tff(f9486,plain,( 14.34/2.47 spl52_516 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_516])])). 14.34/2.47 tff(f9279,plain,( 14.34/2.47 spl52_495 <=> $less(0,$sum(sF26,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_495])])). 14.34/2.47 tff(f10115,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF20))) ) | ~spl52_495), 14.34/2.47 inference(resolution,[],[f9281,f128])). 14.34/2.47 tff(f9281,plain,( 14.34/2.47 $less(0,$sum(sF26,sF20)) | ~spl52_495), 14.34/2.47 inference(avatar_component_clause,[],[f9279])). 14.34/2.47 tff(f10109,plain,( 14.34/2.47 spl52_550 | ~spl52_494), 14.34/2.47 inference(avatar_split_clause,[],[f10108,f9274,f9822])). 14.34/2.47 tff(f9822,plain,( 14.34/2.47 spl52_550 <=> ! [X0 : $int] : ($less(X0,$sum(sF47,sF26)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_550])])). 14.34/2.47 tff(f9274,plain,( 14.34/2.47 spl52_494 <=> $less(0,$sum(sF47,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_494])])). 14.34/2.47 tff(f10108,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF26))) ) | ~spl52_494), 14.34/2.47 inference(resolution,[],[f9276,f128])). 14.34/2.47 tff(f9276,plain,( 14.34/2.47 $less(0,$sum(sF47,sF26)) | ~spl52_494), 14.34/2.47 inference(avatar_component_clause,[],[f9274])). 14.34/2.47 tff(f10107,plain,( 14.34/2.47 spl52_546 | ~spl52_489), 14.34/2.47 inference(avatar_split_clause,[],[f10106,f9249,f9796])). 14.34/2.47 tff(f9796,plain,( 14.34/2.47 spl52_546 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_546])])). 14.34/2.47 tff(f9249,plain,( 14.34/2.47 spl52_489 <=> $less(0,$sum(sF26,sF47))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_489])])). 14.34/2.47 tff(f10106,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF26,sF47)) | ~$less(X0,0)) ) | ~spl52_489), 14.34/2.47 inference(resolution,[],[f9251,f128])). 14.34/2.47 tff(f9251,plain,( 14.34/2.47 $less(0,$sum(sF26,sF47)) | ~spl52_489), 14.34/2.47 inference(avatar_component_clause,[],[f9249])). 14.34/2.47 tff(f10105,plain,( 14.34/2.47 spl52_518 | ~spl52_488), 14.34/2.47 inference(avatar_split_clause,[],[f10104,f9244,f9497])). 14.34/2.47 tff(f9497,plain,( 14.34/2.47 spl52_518 <=> ! [X0 : $int] : ($less(X0,$sum(sF20,sF26)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_518])])). 14.34/2.47 tff(f9244,plain,( 14.34/2.47 spl52_488 <=> $less(0,$sum(sF20,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_488])])). 14.34/2.47 tff(f10104,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF20,sF26))) ) | ~spl52_488), 14.34/2.47 inference(resolution,[],[f9246,f128])). 14.34/2.47 tff(f9246,plain,( 14.34/2.47 $less(0,$sum(sF20,sF26)) | ~spl52_488), 14.34/2.47 inference(avatar_component_clause,[],[f9244])). 14.34/2.47 tff(f10103,plain,( 14.34/2.47 spl52_502 | ~spl52_486), 14.34/2.47 inference(avatar_split_clause,[],[f10102,f9234,f9316])). 14.34/2.47 tff(f9316,plain,( 14.34/2.47 spl52_502 <=> ! [X0 : $int] : ($less(X0,$sum(sF26,sF18)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_502])])). 14.34/2.47 tff(f9234,plain,( 14.34/2.47 spl52_486 <=> $less(0,$sum(sF26,sF18))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_486])])). 14.34/2.47 tff(f10102,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF18))) ) | ~spl52_486), 14.34/2.47 inference(resolution,[],[f9236,f128])). 14.34/2.47 tff(f9236,plain,( 14.34/2.47 $less(0,$sum(sF26,sF18)) | ~spl52_486), 14.34/2.47 inference(avatar_component_clause,[],[f9234])). 14.34/2.47 tff(f10100,plain,( 14.34/2.47 ~spl52_192 | ~spl52_178), 14.34/2.47 inference(avatar_split_clause,[],[f10091,f2089,f2505])). 14.34/2.47 tff(f2089,plain,( 14.34/2.47 spl52_178 <=> $less(sK2(2,sK4,sF31),sK4)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_178])])). 14.34/2.47 tff(f10091,plain,( 14.34/2.47 ~$less(sK4,sK2(2,sK4,sF31)) | ~spl52_178), 14.34/2.47 inference(resolution,[],[f2747,f127])). 14.34/2.47 tff(f2747,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sK4) | ~$less(X0,sK2(2,sK4,sF31))) ) | ~spl52_178), 14.34/2.47 inference(resolution,[],[f2091,f128])). 14.34/2.47 tff(f2091,plain,( 14.34/2.47 $less(sK2(2,sK4,sF31),sK4) | ~spl52_178), 14.34/2.47 inference(avatar_component_clause,[],[f2089])). 14.34/2.47 tff(f10084,plain,( 14.34/2.47 ~spl52_574 | ~spl52_177), 14.34/2.47 inference(avatar_split_clause,[],[f10073,f2042,f10081])). 14.34/2.47 tff(f10081,plain,( 14.34/2.47 spl52_574 <=> $less(sK4,sK2(2,sK4,sF14))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_574])])). 14.34/2.47 tff(f2042,plain,( 14.34/2.47 spl52_177 <=> $less(sK2(2,sK4,sF14),sK4)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_177])])). 14.34/2.47 tff(f10073,plain,( 14.34/2.47 ~$less(sK4,sK2(2,sK4,sF14)) | ~spl52_177), 14.34/2.47 inference(resolution,[],[f2498,f127])). 14.34/2.47 tff(f2498,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sK4) | ~$less(X0,sK2(2,sK4,sF14))) ) | ~spl52_177), 14.34/2.47 inference(resolution,[],[f2044,f128])). 14.34/2.47 tff(f2044,plain,( 14.34/2.47 $less(sK2(2,sK4,sF14),sK4) | ~spl52_177), 14.34/2.47 inference(avatar_component_clause,[],[f2042])). 14.34/2.47 tff(f10069,plain,( 14.34/2.47 spl52_573 | ~spl52_100 | ~spl52_254), 14.34/2.47 inference(avatar_split_clause,[],[f10027,f3143,f1154,f10066])). 14.34/2.47 tff(f10066,plain,( 14.34/2.47 spl52_573 <=> app2(sF34,string3(sK9)) = app2(sF17,string3(sK6))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_573])])). 14.34/2.47 tff(f10027,plain,( 14.34/2.47 app2(sF34,string3(sK9)) = app2(sF17,string3(sK6)) | (~spl52_100 | ~spl52_254)), 14.34/2.47 inference(superposition,[],[f2961,f3145])). 14.34/2.47 tff(f2961,plain,( 14.34/2.47 ( ! [X0 : string2] : (app2(sF34,X0) = app2(sF17,app2(sF35,X0))) ) | ~spl52_100), 14.34/2.47 inference(resolution,[],[f1164,f359])). 14.34/2.47 tff(f359,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : string2] : (~infix_eqeq1(X1,X0) | X0 = X1) )), 14.34/2.47 inference(cnf_transformation,[],[f282])). 14.34/2.47 tff(f282,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2] : (~infix_eqeq1(X1,X0) | X0 = X1)), 14.34/2.47 inference(rectify,[],[f230])). 14.34/2.47 tff(f230,plain,( 14.34/2.47 ! [X1 : string2,X0 : string2] : (~infix_eqeq1(X0,X1) | X0 = X1)), 14.34/2.47 inference(ennf_transformation,[],[f197])). 14.34/2.47 tff(f197,plain,( 14.34/2.47 ! [X1 : string2,X0 : string2] : (infix_eqeq1(X0,X1) => X0 = X1)), 14.34/2.47 inference(rectify,[],[f17])). 14.34/2.47 tff(f17,axiom,( 14.34/2.47 ! [X16 : string2,X17 : string2] : (infix_eqeq1(X16,X17) => X16 = X17)), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f1164,plain,( 14.34/2.47 ( ! [X0 : string2] : (infix_eqeq1(app2(sF17,app2(sF35,X0)),app2(sF34,X0))) ) | ~spl52_100), 14.34/2.47 inference(superposition,[],[f374,f1156])). 14.34/2.47 tff(f374,plain,( 14.34/2.47 ( ! [X2 : string2,X0 : string2,X1 : string2] : (infix_eqeq1(app2(X0,app2(X1,X2)),app2(app2(X0,X1),X2))) )), 14.34/2.47 inference(cnf_transformation,[],[f293])). 14.34/2.47 tff(f293,plain,( 14.34/2.47 ! [X0 : string2,X1 : string2,X2 : string2] : infix_eqeq1(app2(X0,app2(X1,X2)),app2(app2(X0,X1),X2))), 14.34/2.47 inference(rectify,[],[f164])). 14.34/2.47 tff(f164,plain,( 14.34/2.47 ! [X0 : string2,X2 : string2,X1 : string2] : infix_eqeq1(app2(X0,app2(X2,X1)),app2(app2(X0,X2),X1))), 14.34/2.47 inference(rectify,[],[f12])). 14.34/2.47 tff(f12,axiom,( 14.34/2.47 ! [X16 : string2,X18 : string2,X17 : string2] : infix_eqeq1(app2(X16,app2(X17,X18)),app2(app2(X16,X17),X18))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f9988,plain,( 14.34/2.47 spl52_572 | spl52_503 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f9969,f5977,f9357,f9986])). 14.34/2.47 tff(f9969,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : array_rope] : (~$less(sK0(max3,X0,X1,X2),2) | infix_eqeq1(string_of_array1(X1,max3,X2),string_of_array1(X0,max3,X2)) | $less(X2,max3) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | $less(length5(rope,t2tb1(X0)),0) | $less(max3,0) | $less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X1)),0)) ) | ~spl52_408), 14.34/2.47 inference(resolution,[],[f5978,f355])). 14.34/2.47 tff(f9984,plain,( 14.34/2.47 spl52_503 | spl52_571 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f9970,f5977,f9982,f9357])). 14.34/2.47 tff(f9970,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : (~$less(X2,X1) | $less(X2,max3) | $less(length5(rope,t2tb1(X0)),0) | ~$less(length3(string_of_array1(X0,max3,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | $less(length5(rope,t2tb1(X0)),X1) | ~$less(sK1(max3,X0,X1),2) | $less(max3,0)) ) | ~spl52_408), 14.34/2.47 inference(resolution,[],[f5978,f485])). 14.34/2.47 tff(f9980,plain,( 14.34/2.47 spl52_503 | spl52_570 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f9971,f5977,f9978,f9357])). 14.34/2.47 tff(f9971,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : array_rope] : ($less(max3,0) | $less(length5(rope,t2tb1(X1)),X0) | ~$less(sK2(max3,X0,X1),2) | $less(length5(rope,t2tb1(X1)),0) | $less(X0,max3) | infix_eqeq1(string_of_array1(X1,max3,X0),empty1)) ) | ~spl52_408), 14.34/2.47 inference(resolution,[],[f5978,f420])). 14.34/2.47 tff(f9976,plain,( 14.34/2.47 spl52_569 | ~spl52_408), 14.34/2.47 inference(avatar_split_clause,[],[f9963,f5977,f9973])). 14.34/2.47 tff(f9973,plain,( 14.34/2.47 spl52_569 <=> $less(0,max3)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_569])])). 14.34/2.47 tff(f9963,plain,( 14.34/2.47 $less(0,max3) | ~spl52_408), 14.34/2.47 inference(interpreted_simplification,[],[f9962])). 14.34/2.47 tff(f9962,plain,( 14.34/2.47 $less(0,max3) | ~$less(0,2) | ~spl52_408), 14.34/2.47 inference(instantiation,[],[f5978])). 14.34/2.47 tff(f9961,plain,( 14.34/2.47 spl52_514 | ~spl52_485), 14.34/2.47 inference(avatar_split_clause,[],[f9960,f9229,f9475])). 14.34/2.47 tff(f9475,plain,( 14.34/2.47 spl52_514 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF26,sF26)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_514])])). 14.34/2.47 tff(f9229,plain,( 14.34/2.47 spl52_485 <=> $less(0,$sum(sF26,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_485])])). 14.34/2.47 tff(f9960,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF26,sF26)) | ~$less(X0,0)) ) | ~spl52_485), 14.34/2.47 inference(resolution,[],[f9231,f128])). 14.34/2.47 tff(f9231,plain,( 14.34/2.47 $less(0,$sum(sF26,sF26)) | ~spl52_485), 14.34/2.47 inference(avatar_component_clause,[],[f9229])). 14.34/2.47 tff(f9957,plain,( 14.34/2.47 spl52_568 | spl52_567 | spl52_565), 14.34/2.47 inference(avatar_split_clause,[],[f9944,f9939,f9949,f9954])). 14.34/2.47 tff(f9944,plain,( 14.34/2.47 $less(sF38,length3(str_proj_11(sK9))) | sF38 = length3(str_proj_11(sK9)) | spl52_565), 14.34/2.47 inference(resolution,[],[f9941,f129])). 14.34/2.47 tff(f9952,plain,( 14.34/2.47 spl52_566 | spl52_567 | spl52_565), 14.34/2.47 inference(avatar_split_clause,[],[f9943,f9939,f9949,f9946])). 14.34/2.47 tff(f9943,plain,( 14.34/2.47 ( ! [X0 : $int] : (sF38 = length3(str_proj_11(sK9)) | ~$less(X0,sF38) | $less(X0,length3(str_proj_11(sK9)))) ) | spl52_565), 14.34/2.47 inference(resolution,[],[f9941,f1052])). 14.34/2.47 tff(f9942,plain,( 14.34/2.47 ~spl52_565 | spl52_209 | ~spl52_248), 14.34/2.47 inference(avatar_split_clause,[],[f9937,f3005,f2678,f9939])). 14.34/2.47 tff(f9937,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK9)),sF38) | (spl52_209 | ~spl52_248)), 14.34/2.47 inference(evaluation,[],[f9936])). 14.34/2.47 tff(f9936,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK9)),$sum(0,sF38)) | (spl52_209 | ~spl52_248)), 14.34/2.47 inference(forward_demodulation,[],[f2679,f3007])). 14.34/2.47 tff(f9935,plain,( 14.34/2.47 spl52_564 | spl52_481 | spl52_484), 14.34/2.47 inference(avatar_split_clause,[],[f9926,f9224,f9209,f9931])). 14.34/2.47 tff(f9931,plain,( 14.34/2.47 spl52_564 <=> 0 = $sum(sF22,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_564])])). 14.34/2.47 tff(f9224,plain,( 14.34/2.47 spl52_484 <=> $less($sum(sF22,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_484])])). 14.34/2.47 tff(f9926,plain,( 14.34/2.47 $less(0,$sum(sF22,sF26)) | 0 = $sum(sF22,sF26) | spl52_484), 14.34/2.47 inference(resolution,[],[f9226,f129])). 14.34/2.47 tff(f9226,plain,( 14.34/2.47 ~$less($sum(sF22,sF26),0) | spl52_484), 14.34/2.47 inference(avatar_component_clause,[],[f9224])). 14.34/2.47 tff(f9934,plain,( 14.34/2.47 spl52_563 | spl52_564 | spl52_484), 14.34/2.47 inference(avatar_split_clause,[],[f9925,f9224,f9931,f9928])). 14.34/2.47 tff(f9925,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF22,sF26) | ~$less(X0,0) | $less(X0,$sum(sF22,sF26))) ) | spl52_484), 14.34/2.47 inference(resolution,[],[f9226,f1052])). 14.34/2.47 tff(f9924,plain,( 14.34/2.47 spl52_562 | ~spl52_321), 14.34/2.47 inference(avatar_split_clause,[],[f9907,f4244,f9921])). 14.34/2.47 tff(f9921,plain,( 14.34/2.47 spl52_562 <=> length4(tb2t2(get(rope,int,sF29,t2tb(3)))) = length3(string3(tb2t2(get(rope,int,sF29,t2tb(3)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_562])])). 14.34/2.47 tff(f9907,plain,( 14.34/2.47 length4(tb2t2(get(rope,int,sF29,t2tb(3)))) = length3(string3(tb2t2(get(rope,int,sF29,t2tb(3))))) | ~spl52_321), 14.34/2.47 inference(resolution,[],[f4246,f455])). 14.34/2.47 tff(f9919,plain,( 14.34/2.47 spl52_561 | ~spl52_559 | ~spl52_321), 14.34/2.47 inference(avatar_split_clause,[],[f9906,f4244,f9909,f9917])). 14.34/2.47 tff(f9906,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(3))))) | inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(3))))))) | ~inv1(X0)) ) | ~spl52_321), 14.34/2.47 inference(resolution,[],[f4246,f500])). 14.34/2.47 tff(f9915,plain,( 14.34/2.47 ~spl52_559 | spl52_560 | ~spl52_321), 14.34/2.47 inference(avatar_split_clause,[],[f9905,f4244,f9913,f9909])). 14.34/2.47 tff(f9905,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(0,X2) | ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(3))))) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(3)))),X2))) | $less(X1,0) | ~$less(X1,length3(X0))) ) | ~spl52_321), 14.34/2.47 inference(resolution,[],[f4246,f1830])). 14.34/2.47 tff(f9895,plain,( 14.34/2.47 spl52_520 | ~spl52_483), 14.34/2.47 inference(avatar_split_clause,[],[f9894,f9219,f9509])). 14.34/2.47 tff(f9509,plain,( 14.34/2.47 spl52_520 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF40,sF26)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_520])])). 14.34/2.47 tff(f9219,plain,( 14.34/2.47 spl52_483 <=> $less(0,$sum(sF40,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_483])])). 14.34/2.47 tff(f9894,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF40,sF26)) | ~$less(X0,0)) ) | ~spl52_483), 14.34/2.47 inference(resolution,[],[f9221,f128])). 14.34/2.47 tff(f9221,plain,( 14.34/2.47 $less(0,$sum(sF40,sF26)) | ~spl52_483), 14.34/2.47 inference(avatar_component_clause,[],[f9219])). 14.34/2.47 tff(f9893,plain,( 14.34/2.47 spl52_522 | ~spl52_479), 14.34/2.47 inference(avatar_split_clause,[],[f9892,f9199,f9520])). 14.34/2.47 tff(f9520,plain,( 14.34/2.47 spl52_522 <=> ! [X0 : $int] : ($less(X0,$sum(sF18,sF26)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_522])])). 14.34/2.47 tff(f9199,plain,( 14.34/2.47 spl52_479 <=> $less(0,$sum(sF18,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_479])])). 14.34/2.47 tff(f9892,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF18,sF26)) | ~$less(X0,0)) ) | ~spl52_479), 14.34/2.47 inference(resolution,[],[f9201,f128])). 14.34/2.47 tff(f9201,plain,( 14.34/2.47 $less(0,$sum(sF18,sF26)) | ~spl52_479), 14.34/2.47 inference(avatar_component_clause,[],[f9199])). 14.34/2.47 tff(f9891,plain,( 14.34/2.47 spl52_558 | ~spl52_556 | ~spl52_319), 14.34/2.47 inference(avatar_split_clause,[],[f9873,f4219,f9879,f9889])). 14.34/2.47 tff(f9873,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(3))))) | ~inv1(X0) | inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(3))))))) | ~$less(0,length4(X0))) ) | ~spl52_319), 14.34/2.47 inference(resolution,[],[f4221,f500])). 14.34/2.47 tff(f9887,plain,( 14.34/2.47 spl52_557 | ~spl52_319), 14.34/2.47 inference(avatar_split_clause,[],[f9874,f4219,f9884])). 14.34/2.47 tff(f9884,plain,( 14.34/2.47 spl52_557 <=> length4(tb2t2(get(rope,int,sF12,t2tb(3)))) = length3(string3(tb2t2(get(rope,int,sF12,t2tb(3)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_557])])). 14.34/2.47 tff(f9874,plain,( 14.34/2.47 length4(tb2t2(get(rope,int,sF12,t2tb(3)))) = length3(string3(tb2t2(get(rope,int,sF12,t2tb(3))))) | ~spl52_319), 14.34/2.47 inference(resolution,[],[f4221,f455])). 14.34/2.47 tff(f9882,plain,( 14.34/2.47 spl52_555 | ~spl52_556 | ~spl52_319), 14.34/2.47 inference(avatar_split_clause,[],[f9872,f4219,f9879,f9876])). 14.34/2.47 tff(f9872,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(X1,0) | inv1(app3(tb2t2(get(rope,int,sF12,t2tb(3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(3)))),X2))) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(3))))) | ~$less(0,X2)) ) | ~spl52_319), 14.34/2.47 inference(resolution,[],[f4221,f1830])). 14.34/2.47 tff(f9870,plain,( 14.34/2.47 spl52_554 | ~spl52_553 | ~spl52_298), 14.34/2.47 inference(avatar_split_clause,[],[f9866,f3859,f9858,f9868])). 14.34/2.47 tff(f9868,plain,( 14.34/2.47 spl52_554 <=> ! [X0 : rope1] : (inv1(app3(X0,app3(sK8,sK8,length3(app2(sF35,sF35))),$sum(length4(X0),length3(app2(sF35,sF35))))) | ~$less(0,length4(X0)) | ~inv1(X0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_554])])). 14.34/2.47 tff(f9858,plain,( 14.34/2.47 spl52_553 <=> $less(0,length3(app2(sF35,sF35)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_553])])). 14.34/2.47 tff(f3859,plain,( 14.34/2.47 spl52_298 <=> inv1(app3(sK8,sK8,length3(app2(sF35,sF35))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_298])])). 14.34/2.47 tff(f9866,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,app3(sK8,sK8,length3(app2(sF35,sF35))),$sum(length4(X0),length3(app2(sF35,sF35))))) | ~$less(0,length3(app2(sF35,sF35))) | ~inv1(X0) | ~$less(0,length4(X0))) ) | ~spl52_298), 14.34/2.47 inference(forward_demodulation,[],[f9865,f352])). 14.34/2.47 tff(f9865,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,app3(sK8,sK8,length3(app2(sF35,sF35))),$sum(length4(X0),length3(app2(sF35,sF35))))) | ~$less(0,length4(app3(sK8,sK8,length3(app2(sF35,sF35))))) | ~inv1(X0) | ~$less(0,length4(X0))) ) | ~spl52_298), 14.34/2.47 inference(forward_demodulation,[],[f9849,f352])). 14.34/2.47 tff(f9849,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,app3(sK8,sK8,length3(app2(sF35,sF35))),$sum(length4(X0),length4(app3(sK8,sK8,length3(app2(sF35,sF35))))))) | ~inv1(X0) | ~$less(0,length4(X0)) | ~$less(0,length4(app3(sK8,sK8,length3(app2(sF35,sF35)))))) ) | ~spl52_298), 14.34/2.47 inference(resolution,[],[f3861,f500])). 14.34/2.47 tff(f3861,plain,( 14.34/2.47 inv1(app3(sK8,sK8,length3(app2(sF35,sF35)))) | ~spl52_298), 14.34/2.47 inference(avatar_component_clause,[],[f3859])). 14.34/2.47 tff(f9861,plain,( 14.34/2.47 spl52_552 | ~spl52_553 | ~spl52_298), 14.34/2.47 inference(avatar_split_clause,[],[f9853,f3859,f9858,f9855])). 14.34/2.47 tff(f9855,plain,( 14.34/2.47 spl52_552 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | $less(X1,0) | inv1(app3(app3(sK8,sK8,length3(app2(sF35,sF35))),str1(X0,X1,X2),$sum(length3(app2(sF35,sF35)),X2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_552])])). 14.34/2.47 tff(f9853,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,X2) | inv1(app3(app3(sK8,sK8,length3(app2(sF35,sF35))),str1(X0,X1,X2),$sum(length3(app2(sF35,sF35)),X2))) | $less(X1,0) | ~$less(X1,length3(X0)) | ~$less(0,length3(app2(sF35,sF35))) | $less(length3(X0),$sum(X1,X2))) ) | ~spl52_298), 14.34/2.47 inference(forward_demodulation,[],[f9852,f352])). 14.34/2.47 tff(f9852,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | ~$less(0,length3(app2(sF35,sF35))) | inv1(app3(app3(sK8,sK8,length3(app2(sF35,sF35))),str1(X0,X1,X2),$sum(length4(app3(sK8,sK8,length3(app2(sF35,sF35)))),X2))) | ~$less(0,X2) | $less(X1,0)) ) | ~spl52_298), 14.34/2.47 inference(forward_demodulation,[],[f9848,f352])). 14.34/2.47 tff(f9848,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | ~$less(0,length4(app3(sK8,sK8,length3(app2(sF35,sF35))))) | ~$less(0,X2) | $less(X1,0) | $less(length3(X0),$sum(X1,X2)) | inv1(app3(app3(sK8,sK8,length3(app2(sF35,sF35))),str1(X0,X1,X2),$sum(length4(app3(sK8,sK8,length3(app2(sF35,sF35)))),X2)))) ) | ~spl52_298), 14.34/2.47 inference(resolution,[],[f3861,f1830])). 14.34/2.47 tff(f9842,plain,( 14.34/2.47 spl52_551 | ~spl52_290 | ~spl52_541), 14.34/2.47 inference(avatar_split_clause,[],[f9837,f9758,f3757,f9839])). 14.34/2.47 tff(f9839,plain,( 14.34/2.47 spl52_551 <=> inv1(app3(sK8,sK8,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_551])])). 14.34/2.47 tff(f3757,plain,( 14.34/2.47 spl52_290 <=> inv1(app3(sK8,sK8,$sum(sF20,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_290])])). 14.34/2.47 tff(f9758,plain,( 14.34/2.47 spl52_541 <=> 0 = $sum(sF20,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_541])])). 14.34/2.47 tff(f9837,plain,( 14.34/2.47 inv1(app3(sK8,sK8,0)) | (~spl52_290 | ~spl52_541)), 14.34/2.47 inference(superposition,[],[f3759,f9760])). 14.34/2.47 tff(f9760,plain,( 14.34/2.47 0 = $sum(sF20,sF20) | ~spl52_541), 14.34/2.47 inference(avatar_component_clause,[],[f9758])). 14.34/2.47 tff(f3759,plain,( 14.34/2.47 inv1(app3(sK8,sK8,$sum(sF20,sF20))) | ~spl52_290), 14.34/2.47 inference(avatar_component_clause,[],[f3757])). 14.34/2.47 tff(f9826,plain,( 14.34/2.47 spl52_467 | spl52_65 | spl52_87 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9825,f9161,f1065,f890,f7696])). 14.34/2.47 tff(f7696,plain,( 14.34/2.47 spl52_467 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF26))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_467])])). 14.34/2.47 tff(f890,plain,( 14.34/2.47 spl52_65 <=> $less(sF37,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_65])])). 14.34/2.47 tff(f1065,plain,( 14.34/2.47 spl52_87 <=> 0 = sF37), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_87])])). 14.34/2.47 tff(f9825,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF26)) ) | (spl52_65 | spl52_87 | ~spl52_477)), 14.34/2.47 inference(forward_demodulation,[],[f3324,f9163])). 14.34/2.47 tff(f3324,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF37) | ~$less(X0,0)) ) | (spl52_65 | spl52_87)), 14.34/2.47 inference(subsumption_resolution,[],[f3302,f1066])). 14.34/2.47 tff(f1066,plain,( 14.34/2.47 0 != sF37 | spl52_87), 14.34/2.47 inference(avatar_component_clause,[],[f1065])). 14.34/2.47 tff(f3302,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF37) | 0 = sF37) ) | spl52_65), 14.34/2.47 inference(resolution,[],[f1052,f892])). 14.34/2.47 tff(f892,plain,( 14.34/2.47 ~$less(sF37,0) | spl52_65), 14.34/2.47 inference(avatar_component_clause,[],[f890])). 14.34/2.47 tff(f9824,plain,( 14.34/2.47 spl52_549 | spl52_550 | spl52_499), 14.34/2.47 inference(avatar_split_clause,[],[f9814,f9299,f9822,f9817])). 14.34/2.47 tff(f9817,plain,( 14.34/2.47 spl52_549 <=> 0 = $sum(sF47,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_549])])). 14.34/2.47 tff(f9299,plain,( 14.34/2.47 spl52_499 <=> $less($sum(sF47,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_499])])). 14.34/2.47 tff(f9814,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF47,sF26) | $less(X0,$sum(sF47,sF26)) | ~$less(X0,0)) ) | spl52_499), 14.34/2.47 inference(resolution,[],[f9301,f1052])). 14.34/2.47 tff(f9301,plain,( 14.34/2.47 ~$less($sum(sF47,sF26),0) | spl52_499), 14.34/2.47 inference(avatar_component_clause,[],[f9299])). 14.34/2.47 tff(f9820,plain,( 14.34/2.47 spl52_549 | spl52_494 | spl52_499), 14.34/2.47 inference(avatar_split_clause,[],[f9815,f9299,f9274,f9817])). 14.34/2.47 tff(f9815,plain,( 14.34/2.47 0 = $sum(sF47,sF26) | $less(0,$sum(sF47,sF26)) | spl52_499), 14.34/2.47 inference(resolution,[],[f9301,f129])). 14.34/2.47 tff(f9813,plain,( 14.34/2.47 spl52_282 | ~spl52_223 | ~spl52_275), 14.34/2.47 inference(avatar_split_clause,[],[f9812,f3497,f2777,f3538])). 14.34/2.47 tff(f3538,plain,( 14.34/2.47 spl52_282 <=> inv1(app3(sK9,sK6,$sum(sF40,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_282])])). 14.34/2.47 tff(f9812,plain,( 14.34/2.47 inv1(app3(sK9,sK6,$sum(sF40,sF47))) | (~spl52_223 | ~spl52_275)), 14.34/2.47 inference(forward_demodulation,[],[f3499,f2779])). 14.34/2.47 tff(f9810,plain,( 14.34/2.47 spl52_500 | spl52_548 | spl52_498), 14.34/2.47 inference(avatar_split_clause,[],[f9801,f9294,f9806,f9304])). 14.34/2.47 tff(f9806,plain,( 14.34/2.47 spl52_548 <=> 0 = $sum(sF26,sF40)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_548])])). 14.34/2.47 tff(f9801,plain,( 14.34/2.47 0 = $sum(sF26,sF40) | $less(0,$sum(sF26,sF40)) | spl52_498), 14.34/2.47 inference(resolution,[],[f9296,f129])). 14.34/2.47 tff(f9809,plain,( 14.34/2.47 spl52_547 | spl52_548 | spl52_498), 14.34/2.47 inference(avatar_split_clause,[],[f9800,f9294,f9806,f9803])). 14.34/2.47 tff(f9800,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF26,sF40) | $less(X0,$sum(sF26,sF40)) | ~$less(X0,0)) ) | spl52_498), 14.34/2.47 inference(resolution,[],[f9296,f1052])). 14.34/2.47 tff(f9799,plain,( 14.34/2.47 spl52_489 | spl52_545 | spl52_493), 14.34/2.47 inference(avatar_split_clause,[],[f9790,f9269,f9792,f9249])). 14.34/2.47 tff(f9792,plain,( 14.34/2.47 spl52_545 <=> 0 = $sum(sF26,sF47)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_545])])). 14.34/2.47 tff(f9269,plain,( 14.34/2.47 spl52_493 <=> $less($sum(sF26,sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_493])])). 14.34/2.47 tff(f9790,plain,( 14.34/2.47 0 = $sum(sF26,sF47) | $less(0,$sum(sF26,sF47)) | spl52_493), 14.34/2.47 inference(resolution,[],[f9271,f129])). 14.34/2.47 tff(f9271,plain,( 14.34/2.47 ~$less($sum(sF26,sF47),0) | spl52_493), 14.34/2.47 inference(avatar_component_clause,[],[f9269])). 14.34/2.47 tff(f9798,plain,( 14.34/2.47 spl52_545 | spl52_546 | spl52_493), 14.34/2.47 inference(avatar_split_clause,[],[f9789,f9269,f9796,f9792])). 14.34/2.47 tff(f9789,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | 0 = $sum(sF26,sF47) | $less(X0,$sum(sF26,sF47))) ) | spl52_493), 14.34/2.47 inference(resolution,[],[f9271,f1052])). 14.34/2.47 tff(f9786,plain,( 14.34/2.47 spl52_544 | spl52_67 | spl52_91), 14.34/2.47 inference(avatar_split_clause,[],[f9773,f1083,f904,f9783])). 14.34/2.47 tff(f9783,plain,( 14.34/2.47 spl52_544 <=> $less(-1,sF18)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_544])])). 14.34/2.47 tff(f9773,plain,( 14.34/2.47 $less(-1,sF18) | (spl52_67 | spl52_91)), 14.34/2.47 inference(interpreted_simplification,[],[f9772])). 14.34/2.47 tff(f9772,plain,( 14.34/2.47 $less(-1,sF18) | ~$less(-1,0) | (spl52_67 | spl52_91)), 14.34/2.47 inference(instantiation,[],[f3307])). 14.34/2.47 tff(f9771,plain,( 14.34/2.47 spl52_284 | ~spl52_231 | ~spl52_274), 14.34/2.47 inference(avatar_split_clause,[],[f9770,f3488,f2832,f3672])). 14.34/2.47 tff(f3672,plain,( 14.34/2.47 spl52_284 <=> inv1(app3(sK8,sK6,$sum(sF20,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_284])])). 14.34/2.47 tff(f3488,plain,( 14.34/2.47 spl52_274 <=> inv1(app3(sK8,sK6,$sum(length3(sF35),sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_274])])). 14.34/2.47 tff(f9770,plain,( 14.34/2.47 inv1(app3(sK8,sK6,$sum(sF20,sF47))) | (~spl52_231 | ~spl52_274)), 14.34/2.47 inference(forward_demodulation,[],[f3490,f2834])). 14.34/2.47 tff(f3490,plain,( 14.34/2.47 inv1(app3(sK8,sK6,$sum(length3(sF35),sF47))) | ~spl52_274), 14.34/2.47 inference(avatar_component_clause,[],[f3488])). 14.34/2.47 tff(f9769,plain,( 14.34/2.47 spl52_543 | spl52_541 | spl52_538), 14.34/2.47 inference(avatar_split_clause,[],[f9755,f9686,f9758,f9767])). 14.34/2.47 tff(f9767,plain,( 14.34/2.47 spl52_543 <=> ! [X0 : $int] : ($less(X0,0) | ~$less(X0,$sum(sF20,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_543])])). 14.34/2.47 tff(f9686,plain,( 14.34/2.47 spl52_538 <=> $less(0,$sum(sF20,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_538])])). 14.34/2.47 tff(f9755,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,$sum(sF20,sF20)) | 0 = $sum(sF20,sF20)) ) | spl52_538), 14.34/2.47 inference(resolution,[],[f9688,f1052])). 14.34/2.47 tff(f9688,plain,( 14.34/2.47 ~$less(0,$sum(sF20,sF20)) | spl52_538), 14.34/2.47 inference(avatar_component_clause,[],[f9686])). 14.34/2.47 tff(f9765,plain,( 14.34/2.47 spl52_541 | spl52_542 | spl52_538), 14.34/2.47 inference(avatar_split_clause,[],[f9756,f9686,f9762,f9758])). 14.34/2.47 tff(f9756,plain,( 14.34/2.47 0 = $sum(sF20,sF20) | $less($sum(sF20,sF20),0) | spl52_538), 14.34/2.47 inference(resolution,[],[f9688,f129])). 14.34/2.47 tff(f9704,plain,( 14.34/2.47 spl52_540 | ~spl52_538 | ~spl52_290), 14.34/2.47 inference(avatar_split_clause,[],[f9700,f3757,f9686,f9702])). 14.34/2.47 tff(f9702,plain,( 14.34/2.47 spl52_540 <=> ! [X0 : rope1] : (inv1(app3(X0,app3(sK8,sK8,$sum(sF20,sF20)),$sum(length4(X0),$sum(sF20,sF20)))) | ~inv1(X0) | ~$less(0,length4(X0)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_540])])). 14.34/2.47 tff(f9700,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,app3(sK8,sK8,$sum(sF20,sF20)),$sum(length4(X0),$sum(sF20,sF20)))) | ~$less(0,$sum(sF20,sF20)) | ~$less(0,length4(X0)) | ~inv1(X0)) ) | ~spl52_290), 14.34/2.47 inference(forward_demodulation,[],[f9699,f352])). 14.34/2.47 tff(f9699,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,$sum(sF20,sF20)) | ~$less(0,length4(X0)) | inv1(app3(X0,app3(sK8,sK8,$sum(sF20,sF20)),$sum(length4(X0),length4(app3(sK8,sK8,$sum(sF20,sF20)))))) | ~inv1(X0)) ) | ~spl52_290), 14.34/2.47 inference(forward_demodulation,[],[f9678,f352])). 14.34/2.47 tff(f9678,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(app3(sK8,sK8,$sum(sF20,sF20)))) | ~inv1(X0) | inv1(app3(X0,app3(sK8,sK8,$sum(sF20,sF20)),$sum(length4(X0),length4(app3(sK8,sK8,$sum(sF20,sF20)))))) | ~$less(0,length4(X0))) ) | ~spl52_290), 14.34/2.47 inference(resolution,[],[f3759,f500])). 14.34/2.47 tff(f9697,plain,( 14.34/2.47 spl52_539 | ~spl52_28 | ~spl52_290), 14.34/2.47 inference(avatar_split_clause,[],[f9692,f3757,f691,f9694])). 14.34/2.47 tff(f9694,plain,( 14.34/2.47 spl52_539 <=> $sum(sF20,sF20) = length3(app2(sF35,sF35))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_539])])). 14.34/2.47 tff(f691,plain,( 14.34/2.47 spl52_28 <=> string3(sK8) = sF35), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_28])])). 14.34/2.47 tff(f9692,plain,( 14.34/2.47 $sum(sF20,sF20) = length3(app2(sF35,sF35)) | (~spl52_28 | ~spl52_290)), 14.34/2.47 inference(forward_demodulation,[],[f9691,f352])). 14.34/2.47 tff(f9691,plain,( 14.34/2.47 length3(app2(sF35,sF35)) = length4(app3(sK8,sK8,$sum(sF20,sF20))) | (~spl52_28 | ~spl52_290)), 14.34/2.47 inference(forward_demodulation,[],[f9690,f693])). 14.34/2.47 tff(f693,plain,( 14.34/2.47 string3(sK8) = sF35 | ~spl52_28), 14.34/2.47 inference(avatar_component_clause,[],[f691])). 14.34/2.47 tff(f9690,plain,( 14.34/2.47 length4(app3(sK8,sK8,$sum(sF20,sF20))) = length3(app2(string3(sK8),string3(sK8))) | ~spl52_290), 14.34/2.47 inference(forward_demodulation,[],[f9679,f396])). 14.34/2.47 tff(f9679,plain,( 14.34/2.47 length4(app3(sK8,sK8,$sum(sF20,sF20))) = length3(string3(app3(sK8,sK8,$sum(sF20,sF20)))) | ~spl52_290), 14.34/2.47 inference(resolution,[],[f3759,f455])). 14.34/2.47 tff(f9689,plain,( 14.34/2.47 spl52_537 | ~spl52_538 | ~sp% (18140)Refutation not found, SMT solver inside AVATAR returned Unknown% (18140)------------------------------ 14.34/2.47 % (18140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.34/2.47 % (18140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.34/2.47 % (18140)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 14.34/2.47 14.34/2.47 % (18140)Memory used [KB]: 1605 14.34/2.47 % (18140)Time elapsed: 0.059 s 14.34/2.47 % (18140)Instructions burned: 184 (million) 14.34/2.47 l52_290), 14.34/2.47 inference(avatar_split_clause,[],[f9681,f3757,f9686,f9683])). 14.34/2.47 tff(f9683,plain,( 14.34/2.47 spl52_537 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,X2) | $less(X1,0) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | inv1(app3(app3(sK8,sK8,$sum(sF20,sF20)),str1(X0,X1,X2),$sum($sum(sF20,sF20),X2))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_537])])). 14.34/2.47 tff(f9681,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,$sum(sF20,sF20)) | ~$less(0,X2) | inv1(app3(app3(sK8,sK8,$sum(sF20,sF20)),str1(X0,X1,X2),$sum($sum(sF20,sF20),X2))) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | $less(X1,0)) ) | ~spl52_290), 14.34/2.47 inference(forward_demodulation,[],[f9680,f352])). 14.34/2.47 tff(f9680,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(X1,0) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | inv1(app3(app3(sK8,sK8,$sum(sF20,sF20)),str1(X0,X1,X2),$sum(length4(app3(sK8,sK8,$sum(sF20,sF20))),X2))) | ~$less(0,X2) | ~$less(0,$sum(sF20,sF20))) ) | ~spl52_290), 14.34/2.47 inference(forward_demodulation,[],[f9677,f352])). 14.34/2.47 tff(f9677,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,length4(app3(sK8,sK8,$sum(sF20,sF20)))) | inv1(app3(app3(sK8,sK8,$sum(sF20,sF20)),str1(X0,X1,X2),$sum(length4(app3(sK8,sK8,$sum(sF20,sF20))),X2))) | ~$less(X1,length3(X0)) | $less(X1,0)) ) | ~spl52_290), 14.34/2.47 inference(resolution,[],[f3759,f1830])). 14.34/2.47 tff(f9653,plain,( 14.34/2.47 spl52_439 | ~spl52_56 | ~spl52_148 | spl52_149 | ~spl52_277), 14.34/2.47 inference(avatar_split_clause,[],[f9652,f3508,f1705,f1701,f831,f6433])). 14.34/2.47 tff(f6433,plain,( 14.34/2.47 spl52_439 <=> sK8 = str1(str_proj_11(sK8),0,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_439])])). 14.34/2.47 tff(f831,plain,( 14.34/2.47 spl52_56 <=> str_proj_31(sK8) = sF20), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_56])])). 14.34/2.47 tff(f1701,plain,( 14.34/2.47 spl52_148 <=> sK8 = str1(str_proj_11(sK8),str_proj_21(sK8),sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_148])])). 14.34/2.47 tff(f1705,plain,( 14.34/2.47 spl52_149 <=> emp1 = sK8), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_149])])). 14.34/2.47 tff(f3508,plain,( 14.34/2.47 spl52_277 <=> 0 = str_proj_21(sK8)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_277])])). 14.34/2.47 tff(f9652,plain,( 14.34/2.47 sK8 = str1(str_proj_11(sK8),0,sF20) | (~spl52_56 | ~spl52_148 | spl52_149 | ~spl52_277)), 14.34/2.47 inference(forward_demodulation,[],[f9651,f833])). 14.34/2.47 tff(f833,plain,( 14.34/2.47 str_proj_31(sK8) = sF20 | ~spl52_56), 14.34/2.47 inference(avatar_component_clause,[],[f831])). 14.34/2.47 tff(f9651,plain,( 14.34/2.47 sK8 = str1(str_proj_11(sK8),0,str_proj_31(sK8)) | (~spl52_148 | spl52_149 | ~spl52_277)), 14.34/2.47 inference(subsumption_resolution,[],[f9650,f1706])). 14.34/2.47 tff(f1706,plain,( 14.34/2.47 emp1 != sK8 | spl52_149), 14.34/2.47 inference(avatar_component_clause,[],[f1705])). 14.34/2.47 tff(f9650,plain,( 14.34/2.47 sK8 = str1(str_proj_11(sK8),0,str_proj_31(sK8)) | emp1 = sK8 | (~spl52_148 | ~spl52_277)), 14.34/2.47 inference(subsumption_resolution,[],[f9635,f7894])). 14.34/2.47 tff(f7894,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : rope1,X1 : rope1] : (app3(X0,X1,X2) != sK8) ) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f480,f1703])). 14.34/2.47 tff(f1703,plain,( 14.34/2.47 sK8 = str1(str_proj_11(sK8),str_proj_21(sK8),sF20) | ~spl52_148), 14.34/2.47 inference(avatar_component_clause,[],[f1701])). 14.34/2.47 tff(f9635,plain,( 14.34/2.47 sK8 = str1(str_proj_11(sK8),0,str_proj_31(sK8)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | emp1 = sK8 | ~spl52_277), 14.34/2.47 inference(superposition,[],[f452,f3510])). 14.34/2.47 tff(f3510,plain,( 14.34/2.47 0 = str_proj_21(sK8) | ~spl52_277), 14.34/2.47 inference(avatar_component_clause,[],[f3508])). 14.34/2.47 tff(f9649,plain,( 14.34/2.47 spl52_440 | ~spl52_43 | ~spl52_148 | spl52_149 | ~spl52_277), 14.34/2.47 inference(avatar_split_clause,[],[f9648,f3508,f1705,f1701,f766,f6442])). 14.34/2.47 tff(f6442,plain,( 14.34/2.47 spl52_440 <=> $less(0,length3(str_proj_11(sK8)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_440])])). 14.34/2.47 tff(f9648,plain,( 14.34/2.47 $less(0,length3(str_proj_11(sK8))) | (~spl52_43 | ~spl52_148 | spl52_149 | ~spl52_277)), 14.34/2.47 inference(subsumption_resolution,[],[f9647,f7894])). 14.34/2.47 tff(f9647,plain,( 14.34/2.47 $less(0,length3(str_proj_11(sK8))) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_43 | spl52_149 | ~spl52_277)), 14.34/2.47 inference(subsumption_resolution,[],[f9646,f1706])). 14.34/2.47 tff(f9646,plain,( 14.34/2.47 emp1 = sK8 | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | $less(0,length3(str_proj_11(sK8))) | (~spl52_43 | ~spl52_277)), 14.34/2.47 inference(subsumption_resolution,[],[f9636,f768])). 14.34/2.47 tff(f9636,plain,( 14.34/2.47 $less(0,length3(str_proj_11(sK8))) | ~inv1(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | emp1 = sK8 | ~spl52_277), 14.34/2.47 inference(superposition,[],[f1661,f3510])). 14.34/2.47 tff(f1661,plain,( 14.34/2.47 ( ! [X0 : rope1] : ($less(str_proj_21(X0),length3(str_proj_11(X0))) | app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 | ~inv1(X0) | emp1 = X0) )), 14.34/2.47 inference(superposition,[],[f378,f452])). 14.34/2.47 tff(f378,plain,( 14.34/2.47 ( ! [X3 : string2,X4 : $int,X5 : $int] : (~inv1(str1(X3,X5,X4)) | $less(X5,length3(X3))) )), 14.34/2.47 inference(cnf_transformation,[],[f296])). 14.34/2.47 tff(f9630,plain,( 14.34/2.47 spl52_536 | spl52_535 | spl52_531), 14.34/2.47 inference(avatar_split_clause,[],[f9617,f9595,f9622,f9627])). 14.34/2.47 tff(f9595,plain,( 14.34/2.47 spl52_531 <=> $less(0,$sum(sF47,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_531])])). 14.34/2.47 tff(f9617,plain,( 14.34/2.47 0 = $sum(sF47,sF20) | $less($sum(sF47,sF20),0) | spl52_531), 14.34/2.47 inference(resolution,[],[f9597,f129])). 14.34/2.47 tff(f9597,plain,( 14.34/2.47 ~$less(0,$sum(sF47,sF20)) | spl52_531), 14.34/2.47 inference(avatar_component_clause,[],[f9595])). 14.34/2.47 tff(f9625,plain,( 14.34/2.47 spl52_534 | spl52_535 | spl52_531), 14.34/2.47 inference(avatar_split_clause,[],[f9616,f9595,f9622,f9619])). 14.34/2.47 tff(f9619,plain,( 14.34/2.47 spl52_534 <=> ! [X0 : $int] : ($less(X0,0) | ~$less(X0,$sum(sF47,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_534])])). 14.34/2.47 tff(f9616,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,$sum(sF47,sF20)) | 0 = $sum(sF47,sF20)) ) | spl52_531), 14.34/2.47 inference(resolution,[],[f9597,f1052])). 14.34/2.47 tff(f9613,plain,( 14.34/2.47 spl52_533 | ~spl52_28 | ~spl52_288), 14.34/2.47 inference(avatar_split_clause,[],[f9608,f3736,f691,f9610])). 14.34/2.47 tff(f9610,plain,( 14.34/2.47 spl52_533 <=> $sum(sF47,sF20) = length3(app2(string3(sK6),sF35))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_533])])). 14.34/2.47 tff(f3736,plain,( 14.34/2.47 spl52_288 <=> inv1(app3(sK6,sK8,$sum(sF47,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_288])])). 14.34/2.47 tff(f9608,plain,( 14.34/2.47 $sum(sF47,sF20) = length3(app2(string3(sK6),sF35)) | (~spl52_28 | ~spl52_288)), 14.34/2.47 inference(forward_demodulation,[],[f9607,f352])). 14.34/2.47 tff(f9607,plain,( 14.34/2.47 length4(app3(sK6,sK8,$sum(sF47,sF20))) = length3(app2(string3(sK6),sF35)) | (~spl52_28 | ~spl52_288)), 14.34/2.47 inference(forward_demodulation,[],[f9606,f693])). 14.34/2.47 tff(f9606,plain,( 14.34/2.47 length4(app3(sK6,sK8,$sum(sF47,sF20))) = length3(app2(string3(sK6),string3(sK8))) | ~spl52_288), 14.34/2.47 inference(forward_demodulation,[],[f9588,f396])). 14.34/2.47 tff(f9588,plain,( 14.34/2.47 length4(app3(sK6,sK8,$sum(sF47,sF20))) = length3(string3(app3(sK6,sK8,$sum(sF47,sF20)))) | ~spl52_288), 14.34/2.47 inference(resolution,[],[f3738,f455])). 14.34/2.47 tff(f3738,plain,( 14.34/2.47 inv1(app3(sK6,sK8,$sum(sF47,sF20))) | ~spl52_288), 14.34/2.47 inference(avatar_component_clause,[],[f3736])). 14.34/2.47 tff(f9604,plain,( 14.34/2.47 ~spl52_531 | spl52_532 | ~spl52_288), 14.34/2.47 inference(avatar_split_clause,[],[f9600,f3736,f9602,f9595])). 14.34/2.47 tff(f9602,plain,( 14.34/2.47 spl52_532 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (inv1(app3(app3(sK6,sK8,$sum(sF47,sF20)),str1(X0,X1,X2),$sum($sum(sF47,sF20),X2))) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,X2) | $less(X1,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_532])])). 14.34/2.47 tff(f9600,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (inv1(app3(app3(sK6,sK8,$sum(sF47,sF20)),str1(X0,X1,X2),$sum($sum(sF47,sF20),X2))) | $less(X1,0) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | ~$less(0,$sum(sF47,sF20))) ) | ~spl52_288), 14.34/2.47 inference(forward_demodulation,[],[f9599,f352])). 14.34/2.47 tff(f9599,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,$sum(sF47,sF20)) | $less(X1,0) | inv1(app3(app3(sK6,sK8,$sum(sF47,sF20)),str1(X0,X1,X2),$sum(length4(app3(sK6,sK8,$sum(sF47,sF20))),X2))) | ~$less(0,X2) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2))) ) | ~spl52_288), 14.34/2.47 inference(forward_demodulation,[],[f9586,f352])). 14.34/2.47 tff(f9586,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | ~$less(0,length4(app3(sK6,sK8,$sum(sF47,sF20)))) | ~$less(0,X2) | inv1(app3(app3(sK6,sK8,$sum(sF47,sF20)),str1(X0,X1,X2),$sum(length4(app3(sK6,sK8,$sum(sF47,sF20))),X2))) | $less(X1,0) | $less(length3(X0),$sum(X1,X2))) ) | ~spl52_288), 14.34/2.47 inference(resolution,[],[f3738,f1830])). 14.34/2.47 tff(f9598,plain,( 14.34/2.47 spl52_530 | ~spl52_531 | ~spl52_288), 14.34/2.47 inference(avatar_split_clause,[],[f9590,f3736,f9595,f9592])). 14.34/2.47 tff(f9592,plain,( 14.34/2.47 spl52_530 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,app3(sK6,sK8,$sum(sF47,sF20)),$sum(length4(X0),$sum(sF47,sF20)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_530])])). 14.34/2.47 tff(f9590,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~$less(0,$sum(sF47,sF20)) | inv1(app3(X0,app3(sK6,sK8,$sum(sF47,sF20)),$sum(length4(X0),$sum(sF47,sF20)))) | ~inv1(X0)) ) | ~spl52_288), 14.34/2.47 inference(forward_demodulation,[],[f9589,f352])). 14.34/2.47 tff(f9589,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,$sum(sF47,sF20)) | ~$less(0,length4(X0)) | inv1(app3(X0,app3(sK6,sK8,$sum(sF47,sF20)),$sum(length4(X0),length4(app3(sK6,sK8,$sum(sF47,sF20))))))) ) | ~spl52_288), 14.34/2.47 inference(forward_demodulation,[],[f9587,f352])). 14.34/2.47 tff(f9587,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(app3(sK6,sK8,$sum(sF47,sF20)))) | ~$less(0,length4(X0)) | inv1(app3(X0,app3(sK6,sK8,$sum(sF47,sF20)),$sum(length4(X0),length4(app3(sK6,sK8,$sum(sF47,sF20))))))) ) | ~spl52_288), 14.34/2.47 inference(resolution,[],[f3738,f500])). 14.34/2.47 tff(f9580,plain,( 14.34/2.47 spl52_529 | spl52_528 | spl52_524), 14.34/2.47 inference(avatar_split_clause,[],[f9567,f9549,f9572,f9577])). 14.34/2.47 tff(f9549,plain,( 14.34/2.47 spl52_524 <=> $less(0,$sum(sF47,sF47))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_524])])). 14.34/2.47 tff(f9567,plain,( 14.34/2.47 $less($sum(sF47,sF47),0) | 0 = $sum(sF47,sF47) | spl52_524), 14.34/2.47 inference(resolution,[],[f9551,f129])). 14.34/2.47 tff(f9551,plain,( 14.34/2.47 ~$less(0,$sum(sF47,sF47)) | spl52_524), 14.34/2.47 inference(avatar_component_clause,[],[f9549])). 14.34/2.47 tff(f9575,plain,( 14.34/2.47 spl52_527 | spl52_528 | spl52_524), 14.34/2.47 inference(avatar_split_clause,[],[f9566,f9549,f9572,f9569])). 14.34/2.47 tff(f9569,plain,( 14.34/2.47 spl52_527 <=> ! [X0 : $int] : ($less(X0,0) | ~$less(X0,$sum(sF47,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_527])])). 14.34/2.47 tff(f9566,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,$sum(sF47,sF47)) | 0 = $sum(sF47,sF47)) ) | spl52_524), 14.34/2.47 inference(resolution,[],[f9551,f1052])). 14.34/2.47 tff(f9565,plain,( 14.34/2.47 spl52_526 | ~spl52_524 | ~spl52_273), 14.34/2.47 inference(avatar_split_clause,[],[f9561,f3481,f9549,f9563])). 14.34/2.47 tff(f9563,plain,( 14.34/2.47 spl52_526 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,X2) | $less(X1,0) | $less(length3(X0),$sum(X1,X2)) | inv1(app3(app3(sK6,sK6,$sum(sF47,sF47)),str1(X0,X1,X2),$sum($sum(sF47,sF47),X2))) | ~$less(X1,length3(X0)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_526])])). 14.34/2.47 tff(f3481,plain,( 14.34/2.47 spl52_273 <=> inv1(app3(sK6,sK6,$sum(sF47,sF47)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_273])])). 14.34/2.47 tff(f9561,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,X2) | ~$less(X1,length3(X0)) | ~$less(0,$sum(sF47,sF47)) | inv1(app3(app3(sK6,sK6,$sum(sF47,sF47)),str1(X0,X1,X2),$sum($sum(sF47,sF47),X2))) | $less(length3(X0),$sum(X1,X2)) | $less(X1,0)) ) | ~spl52_273), 14.34/2.47 inference(forward_demodulation,[],[f9560,f352])). 14.34/2.47 tff(f9560,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(X1,0) | ~$less(0,X2) | inv1(app3(app3(sK6,sK6,$sum(sF47,sF47)),str1(X0,X1,X2),$sum(length4(app3(sK6,sK6,$sum(sF47,sF47))),X2))) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,$sum(sF47,sF47))) ) | ~spl52_273), 14.34/2.47 inference(forward_demodulation,[],[f9540,f352])). 14.34/2.47 tff(f9540,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | $less(X1,0) | ~$less(0,length4(app3(sK6,sK6,$sum(sF47,sF47)))) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | inv1(app3(app3(sK6,sK6,$sum(sF47,sF47)),str1(X0,X1,X2),$sum(length4(app3(sK6,sK6,$sum(sF47,sF47))),X2)))) ) | ~spl52_273), 14.34/2.47 inference(resolution,[],[f3483,f1830])). 14.34/2.47 tff(f3483,plain,( 14.34/2.47 inv1(app3(sK6,sK6,$sum(sF47,sF47))) | ~spl52_273), 14.34/2.47 inference(avatar_component_clause,[],[f3481])). 14.34/2.47 tff(f9559,plain,( 14.34/2.47 spl52_525 | ~spl52_273), 14.34/2.47 inference(avatar_split_clause,[],[f9554,f3481,f9556])). 14.34/2.47 tff(f9556,plain,( 14.34/2.47 spl52_525 <=> $sum(sF47,sF47) = length3(app2(string3(sK6),string3(sK6)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_525])])). 14.34/2.47 tff(f9554,plain,( 14.34/2.47 $sum(sF47,sF47) = length3(app2(string3(sK6),string3(sK6))) | ~spl52_273), 14.34/2.47 inference(forward_demodulation,[],[f9553,f352])). 14.34/2.47 tff(f9553,plain,( 14.34/2.47 length4(app3(sK6,sK6,$sum(sF47,sF47))) = length3(app2(string3(sK6),string3(sK6))) | ~spl52_273), 14.34/2.47 inference(forward_demodulation,[],[f9542,f396])). 14.34/2.47 tff(f9542,plain,( 14.34/2.47 length4(app3(sK6,sK6,$sum(sF47,sF47))) = length3(string3(app3(sK6,sK6,$sum(sF47,sF47)))) | ~spl52_273), 14.34/2.47 inference(resolution,[],[f3483,f455])). 14.34/2.47 tff(f9552,plain,( 14.34/2.47 spl52_523 | ~spl52_524 | ~spl52_273), 14.34/2.47 inference(avatar_split_clause,[],[f9544,f3481,f9549,f9546])). 14.34/2.47 tff(f9546,plain,( 14.34/2.47 spl52_523 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,app3(sK6,sK6,$sum(sF47,sF47)),$sum(length4(X0),$sum(sF47,sF47)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_523])])). 14.34/2.47 tff(f9544,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~$less(0,$sum(sF47,sF47)) | inv1(app3(X0,app3(sK6,sK6,$sum(sF47,sF47)),$sum(length4(X0),$sum(sF47,sF47)))) | ~inv1(X0)) ) | ~spl52_273), 14.34/2.47 inference(forward_demodulation,[],[f9543,f352])). 14.34/2.47 tff(f9543,plain,( 14.34/2.47 ( ! [X0 : rope1] : (inv1(app3(X0,app3(sK6,sK6,$sum(sF47,sF47)),$sum(length4(X0),$sum(sF47,sF47)))) | ~$less(0,length4(X0)) | ~$less(0,length4(app3(sK6,sK6,$sum(sF47,sF47)))) | ~inv1(X0)) ) | ~spl52_273), 14.34/2.47 inference(forward_demodulation,[],[f9541,f352])). 14.34/2.47 tff(f9541,plain,( 14.34/2.47 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | inv1(app3(X0,app3(sK6,sK6,$sum(sF47,sF47)),$sum(length4(X0),length4(app3(sK6,sK6,$sum(sF47,sF47)))))) | ~$less(0,length4(app3(sK6,sK6,$sum(sF47,sF47))))) ) | ~spl52_273), 14.34/2.47 inference(resolution,[],[f3483,f500])). 14.34/2.47 tff(f9522,plain,( 14.34/2.47 spl52_522 | spl52_521 | spl52_492), 14.34/2.47 inference(avatar_split_clause,[],[f9512,f9264,f9515,f9520])). 14.34/2.47 tff(f9515,plain,( 14.34/2.47 spl52_521 <=> 0 = $sum(sF18,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_521])])). 14.34/2.47 tff(f9264,plain,( 14.34/2.47 spl52_492 <=> $less($sum(sF18,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_492])])). 14.34/2.47 tff(f9512,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF18,sF26) | $less(X0,$sum(sF18,sF26)) | ~$less(X0,0)) ) | spl52_492), 14.34/2.47 inference(resolution,[],[f9266,f1052])). 14.34/2.47 tff(f9266,plain,( 14.34/2.47 ~$less($sum(sF18,sF26),0) | spl52_492), 14.34/2.47 inference(avatar_component_clause,[],[f9264])). 14.34/2.47 tff(f9518,plain,( 14.34/2.47 spl52_521 | spl52_479 | spl52_492), 14.34/2.47 inference(avatar_split_clause,[],[f9513,f9264,f9199,f9515])). 14.34/2.47 tff(f9513,plain,( 14.34/2.47 $less(0,$sum(sF18,sF26)) | 0 = $sum(sF18,sF26) | spl52_492), 14.34/2.47 inference(resolution,[],[f9266,f129])). 14.34/2.47 tff(f9511,plain,( 14.34/2.47 spl52_520 | spl52_519 | spl52_491), 14.34/2.47 inference(avatar_split_clause,[],[f9501,f9259,f9504,f9509])). 14.34/2.47 tff(f9504,plain,( 14.34/2.47 spl52_519 <=> 0 = $sum(sF40,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_519])])). 14.34/2.47 tff(f9259,plain,( 14.34/2.47 spl52_491 <=> $less($sum(sF40,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_491])])). 14.34/2.47 tff(f9501,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF40,sF26) | ~$less(X0,0) | $less(X0,$sum(sF40,sF26))) ) | spl52_491), 14.34/2.47 inference(resolution,[],[f9261,f1052])). 14.34/2.47 tff(f9261,plain,( 14.34/2.47 ~$less($sum(sF40,sF26),0) | spl52_491), 14.34/2.47 inference(avatar_component_clause,[],[f9259])). 14.34/2.47 tff(f9507,plain,( 14.34/2.47 spl52_519 | spl52_483 | spl52_491), 14.34/2.47 inference(avatar_split_clause,[],[f9502,f9259,f9219,f9504])). 14.34/2.47 tff(f9502,plain,( 14.34/2.47 $less(0,$sum(sF40,sF26)) | 0 = $sum(sF40,sF26) | spl52_491), 14.34/2.47 inference(resolution,[],[f9261,f129])). 14.34/2.47 tff(f9499,plain,( 14.34/2.47 spl52_517 | spl52_518 | spl52_490), 14.34/2.47 inference(avatar_split_clause,[],[f9489,f9254,f9497,f9492])). 14.34/2.47 tff(f9492,plain,( 14.34/2.47 spl52_517 <=> 0 = $sum(sF20,sF26)), 14.34/2.47 introduced(avatar_definition,[% (18140)------------------------------ 14.34/2.47 % (18140)------------------------------ 14.34/2.47 new_symbols(naming,[spl52_517])])). 14.34/2.47 tff(f9254,plain,( 14.34/2.47 spl52_490 <=> $less($sum(sF20,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_490])])). 14.34/2.47 tff(f9489,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF20,sF26) | $less(X0,$sum(sF20,sF26)) | ~$less(X0,0)) ) | spl52_490), 14.34/2.47 inference(resolution,[],[f9256,f1052])). 14.34/2.47 tff(f9256,plain,( 14.34/2.47 ~$less($sum(sF20,sF26),0) | spl52_490), 14.34/2.47 inference(avatar_component_clause,[],[f9254])). 14.34/2.47 tff(f9495,plain,( 14.34/2.47 spl52_488 | spl52_517 | spl52_490), 14.34/2.47 inference(avatar_split_clause,[],[f9490,f9254,f9492,f9244])). 14.34/2.47 tff(f9490,plain,( 14.34/2.47 0 = $sum(sF20,sF26) | $less(0,$sum(sF20,sF26)) | spl52_490), 14.34/2.47 inference(resolution,[],[f9256,f129])). 14.34/2.47 tff(f9488,plain,( 14.34/2.47 spl52_516 | spl52_515 | spl52_487), 14.34/2.47 inference(avatar_split_clause,[],[f9478,f9239,f9481,f9486])). 14.34/2.47 tff(f9481,plain,( 14.34/2.47 spl52_515 <=> 0 = $sum(sF26,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_515])])). 14.34/2.47 tff(f9239,plain,( 14.34/2.47 spl52_487 <=> $less($sum(sF26,sF20),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_487])])). 14.34/2.47 tff(f9478,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF26,sF20) | ~$less(X0,0) | $less(X0,$sum(sF26,sF20))) ) | spl52_487), 14.34/2.47 inference(resolution,[],[f9241,f1052])). 14.34/2.47 tff(f9241,plain,( 14.34/2.47 ~$less($sum(sF26,sF20),0) | spl52_487), 14.34/2.47 inference(avatar_component_clause,[],[f9239])). 14.34/2.47 tff(f9484,plain,( 14.34/2.47 spl52_515 | spl52_495 | spl52_487), 14.34/2.47 inference(avatar_split_clause,[],[f9479,f9239,f9279,f9481])). 14.34/2.47 tff(f9479,plain,( 14.34/2.47 0 = $sum(sF26,sF20) | $less(0,$sum(sF26,sF20)) | spl52_487), 14.34/2.47 inference(resolution,[],[f9241,f129])). 14.34/2.47 tff(f9477,plain,( 14.34/2.47 spl52_513 | spl52_514 | spl52_480), 14.34/2.47 inference(avatar_split_clause,[],[f9467,f9204,f9475,f9470])). 14.34/2.47 tff(f9470,plain,( 14.34/2.47 spl52_513 <=> 0 = $sum(sF26,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_513])])). 14.34/2.47 tff(f9204,plain,( 14.34/2.47 spl52_480 <=> $less($sum(sF26,sF26),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_480])])). 14.34/2.47 tff(f9467,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF26,sF26) | ~$less(X0,0) | $less(X0,$sum(sF26,sF26))) ) | spl52_480), 14.34/2.47 inference(resolution,[],[f9206,f1052])). 14.34/2.47 tff(f9206,plain,( 14.34/2.47 ~$less($sum(sF26,sF26),0) | spl52_480), 14.34/2.47 inference(avatar_component_clause,[],[f9204])). 14.34/2.47 tff(f9473,plain,( 14.34/2.47 spl52_513 | spl52_485 | spl52_480), 14.34/2.47 inference(avatar_split_clause,[],[f9468,f9204,f9229,f9470])). 14.34/2.47 tff(f9468,plain,( 14.34/2.47 $less(0,$sum(sF26,sF26)) | 0 = $sum(sF26,sF26) | spl52_480), 14.34/2.47 inference(resolution,[],[f9206,f129])). 14.34/2.47 tff(f9466,plain,( 14.34/2.47 spl52_277 | spl52_227 | spl52_278), 14.34/2.47 inference(avatar_split_clause,[],[f9465,f3513,f2813,f3508])). 14.34/2.47 tff(f2813,plain,( 14.34/2.47 spl52_227 <=> $less(str_proj_21(sK8),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_227])])). 14.34/2.47 tff(f3513,plain,( 14.34/2.47 spl52_278 <=> $less(0,str_proj_21(sK8))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_278])])). 14.34/2.47 tff(f9465,plain,( 14.34/2.47 0 = str_proj_21(sK8) | (spl52_227 | spl52_278)), 14.34/2.47 inference(subsumption_resolution,[],[f9460,f2815])). 14.34/2.47 tff(f2815,plain,( 14.34/2.47 ~$less(str_proj_21(sK8),0) | spl52_227), 14.34/2.47 inference(avatar_component_clause,[],[f2813])). 14.34/2.47 tff(f9460,plain,( 14.34/2.47 $less(str_proj_21(sK8),0) | 0 = str_proj_21(sK8) | spl52_278), 14.34/2.47 inference(resolution,[],[f3514,f129])). 14.34/2.47 tff(f3514,plain,( 14.34/2.47 ~$less(0,str_proj_21(sK8)) | spl52_278), 14.34/2.47 inference(avatar_component_clause,[],[f3513])). 14.34/2.47 tff(f9464,plain,( 14.34/2.47 spl52_277 | spl52_512 | spl52_278), 14.34/2.47 inference(avatar_split_clause,[],[f9459,f3513,f9462,f3508])). 14.34/2.47 tff(f9462,plain,( 14.34/2.47 spl52_512 <=> ! [X0 : $int] : (~$less(X0,str_proj_21(sK8)) | $less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_512])])). 14.34/2.47 tff(f9459,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = str_proj_21(sK8) | ~$less(X0,str_proj_21(sK8)) | $less(X0,0)) ) | spl52_278), 14.34/2.47 inference(resolution,[],[f3514,f1052])). 14.34/2.47 tff(f9444,plain,( 14.34/2.47 spl52_511 | ~spl52_115 | ~spl52_254), 14.34/2.47 inference(avatar_split_clause,[],[f9439,f3143,f1286,f9441])). 14.34/2.47 tff(f9441,plain,( 14.34/2.47 spl52_511 <=> mixfix_lbrb1(sF35,0) = mixfix_lbrb1(string3(sK6),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_511])])). 14.34/2.47 tff(f9439,plain,( 14.34/2.47 mixfix_lbrb1(sF35,0) = mixfix_lbrb1(string3(sK6),0) | (~spl52_115 | ~spl52_254)), 14.34/2.47 inference(subsumption_resolution,[],[f9417,f1288])). 14.34/2.47 tff(f9417,plain,( 14.34/2.47 ~$less(0,length3(sF35)) | mixfix_lbrb1(sF35,0) = mixfix_lbrb1(string3(sK6),0) | ~spl52_254), 14.34/2.47 inference(superposition,[],[f1570,f3145])). 14.34/2.47 tff(f1570,plain,( 14.34/2.47 ( ! [X2 : string2,X1 : string2] : (mixfix_lbrb1(app2(X1,X2),0) = mixfix_lbrb1(X1,0) | ~$less(0,length3(X1))) )), 14.34/2.47 inference(interpreted_simplification,[],[f1569])). 14.34/2.47 tff(f1569,plain,( 14.34/2.47 ( ! [X2 : string2,X1 : string2] : (mixfix_lbrb1(app2(X1,X2),0) = mixfix_lbrb1(X1,0) | $less(0,0) | ~$less(0,length3(X1))) )), 14.34/2.47 inference(instantiation,[],[f402])). 14.34/2.47 tff(f9438,plain,( 14.34/2.47 spl52_510 | ~spl52_100 | ~spl52_254), 14.34/2.47 inference(avatar_split_clause,[],[f9412,f3143,f1154,f9435])). 14.34/2.47 tff(f9435,plain,( 14.34/2.47 spl52_510 <=> infix_eqeq1(app2(sF17,string3(sK6)),app2(sF34,string3(sK9)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_510])])). 14.34/2.47 tff(f9412,plain,( 14.34/2.47 infix_eqeq1(app2(sF17,string3(sK6)),app2(sF34,string3(sK9))) | (~spl52_100 | ~spl52_254)), 14.34/2.47 inference(superposition,[],[f1164,f3145])). 14.34/2.47 tff(f9411,plain,( 14.34/2.47 spl52_286 | ~spl52_115 | ~spl52_231), 14.34/2.47 inference(avatar_split_clause,[],[f9410,f2832,f1286,f3697])). 14.34/2.47 tff(f3697,plain,( 14.34/2.47 spl52_286 <=> ! [X0 : $int] : ($less(X0,sF20) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_286])])). 14.34/2.47 tff(f9410,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF20)) ) | (~spl52_115 | ~spl52_231)), 14.34/2.47 inference(forward_demodulation,[],[f1366,f2834])). 14.34/2.47 tff(f1366,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,length3(sF35))) ) | ~spl52_115), 14.34/2.47 inference(resolution,[],[f1288,f128])). 14.34/2.47 tff(f9409,plain,( 14.34/2.47 spl52_294 | ~spl52_110 | ~spl52_223), 14.34/2.47 inference(avatar_split_clause,[],[f9408,f2777,f1256,f3814])). 14.34/2.47 tff(f3814,plain,( 14.34/2.47 spl52_294 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF40))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_294])])). 14.34/2.47 tff(f9408,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF40) | ~$less(X0,0)) ) | (~spl52_110 | ~spl52_223)), 14.34/2.47 inference(forward_demodulation,[],[f1353,f2779])). 14.34/2.47 tff(f9407,plain,( 14.34/2.47 ~spl52_509 | ~spl52_119 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f9400,f1701,f1313,f9403])). 14.34/2.47 tff(f9403,plain,( 14.34/2.47 spl52_509 <=> sK6 = sK8), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_509])])). 14.34/2.47 tff(f9400,plain,( 14.34/2.47 sK6 != sK8 | (~spl52_119 | ~spl52_148)), 14.34/2.47 inference(superposition,[],[f7894,f1315])). 14.34/2.47 tff(f9406,plain,( 14.34/2.47 ~spl52_509 | ~spl52_107 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f9399,f1701,f1229,f9403])). 14.34/2.47 tff(f9399,plain,( 14.34/2.47 sK6 != sK8 | (~spl52_107 | ~spl52_148)), 14.34/2.47 inference(superposition,[],[f7894,f1231])). 14.34/2.47 tff(f9398,plain,( 14.34/2.47 spl52_508 | spl52_506 | ~spl52_88), 14.34/2.47 inference(avatar_split_clause,[],[f9382,f1070,f9387,f9396])). 14.34/2.47 tff(f9396,plain,( 14.34/2.47 spl52_508 <=> ! [X0 : $int,X1 : array_rope] : (~$less(sK2(sF44,X0,X1),sF28) | infix_eqeq1(string_of_array1(X1,sF44,X0),empty1) | $less(X0,sF44) | $less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),X0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_508])])). 14.34/2.47 tff(f9387,plain,( 14.34/2.47 spl52_506 <=> $less(sF44,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_506])])). 14.34/2.47 tff(f9382,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : array_rope] : (~$less(sK2(sF44,X0,X1),sF28) | $less(length5(rope,t2tb1(X1)),X0) | $less(length5(rope,t2tb1(X1)),0) | $less(X0,sF44) | $less(sF44,0) | infix_eqeq1(string_of_array1(X1,sF44,X0),empty1)) ) | ~spl52_88), 14.34/2.47 inference(resolution,[],[f2726,f420])). 14.34/2.47 tff(f2726,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF44) | ~$less(X0,sF28)) ) | ~spl52_88), 14.34/2.47 inference(resolution,[],[f1072,f128])). 14.34/2.47 tff(f1072,plain,( 14.34/2.47 $less(sF28,sF44) | ~spl52_88), 14.34/2.47 inference(avatar_component_clause,[],[f1070])). 14.34/2.47 tff(f9394,plain,( 14.34/2.47 spl52_506 | spl52_507 | ~spl52_88), 14.34/2.47 inference(avatar_split_clause,[],[f9380,f1070,f9392,f9387])). 14.34/2.47 tff(f9392,plain,( 14.34/2.47 spl52_507 <=> ! [X2 : $int,X0 : array_rope,X1 : array_rope] : ($less(X2,sF44) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0)) | ~$less(sK0(sF44,X0,X1,X2),sF28) | $less(length5(rope,t2tb1(X1)),X2) | $less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X0)),0) | infix_eqeq1(string_of_array1(X1,sF44,X2),string_of_array1(X0,sF44,X2)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_507])])). 14.34/2.47 tff(f9380,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : array_rope] : ($less(sF44,0) | $less(X2,sF44) | infix_eqeq1(string_of_array1(X1,sF44,X2),string_of_array1(X0,sF44,X2)) | $less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),X2) | ~$less(sK0(sF44,X0,X1,X2),sF28) | length5(rope,t2tb1(X1)) != length5(rope,t2tb1(X0))) ) | ~spl52_88), 14.34/2.47 inference(resolution,[],[f2726,f355])). 14.34/2.47 tff(f9390,plain,( 14.34/2.47 spl52_505 | spl52_506 | ~spl52_88), 14.34/2.47 inference(avatar_split_clause,[],[f9381,f1070,f9387,f9384])). 14.34/2.47 tff(f9384,plain,( 14.34/2.47 spl52_505 <=> ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | ~$less(length3(string_of_array1(X0,sF44,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | $less(X2,sF44) | $less(length5(rope,t2tb1(X0)),0) | ~$less(X2,X1) | ~$less(sK1(sF44,X0,X1),sF28))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_505])])). 14.34/2.47 tff(f9381,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | ~$less(sK1(sF44,X0,X1),sF28) | ~$less(X2,X1) | $less(length5(rope,t2tb1(X0)),0) | $less(X2,sF44) | ~$less(length3(string_of_array1(X0,sF44,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | $less(sF44,0)) ) | ~spl52_88), 14.34/2.47 inference(resolution,[],[f2726,f485])). 14.34/2.47 tff(f9375,plain,( 14.34/2.47 spl52_504 | ~spl52_177 | ~spl52_468), 14.34/2.47 inference(avatar_split_clause,[],[f9341,f7714,f2042,f9372])). 14.34/2.47 tff(f9372,plain,( 14.34/2.47 spl52_504 <=> $less(sK2(2,sK4,sF14),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_504])])). 14.34/2.47 tff(f9341,plain,( 14.34/2.47 $less(sK2(2,sK4,sF14),0) | (~spl52_177 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f2044])). 14.34/2.47 tff(f7715,plain,( 14.34/2.47 ( ! [X3 : $int] : (~$less(X3,sK4) | $less(X3,0)) ) | ~spl52_468), 14.34/2.47 inference(avatar_component_clause,[],[f7714])). 14.34/2.47 tff(f9370,plain,( 14.34/2.47 spl52_200 | ~spl52_178 | ~spl52_468), 14.34/2.47 inference(avatar_split_clause,[],[f9342,f7714,f2089,f2565])). 14.34/2.47 tff(f9342,plain,( 14.34/2.47 $less(sK2(2,sK4,sF31),0) | (~spl52_178 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f2091])). 14.34/2.47 tff(f9369,plain,( 14.34/2.47 spl52_396 | spl52_26 | ~spl52_172 | ~spl52_173 | ~spl52_468), 14.34/2.47 inference(avatar_split_clause,[],[f9368,f7714,f2009,f1995,f681,f5769])). 14.34/2.47 tff(f5769,plain,( 14.34/2.47 spl52_396 <=> ! [X4 : $int,X3 : $int] : ($less(sK4,X4) | $less(X4,X3) | infix_eqeq1(string_of_array1(sF14,X3,sK4),app2(string_of_array1(sF14,X4,sK4),string_of_array1(sF14,X3,X4))) | $less(X3,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_396])])). 14.34/2.47 tff(f1995,plain,( 14.34/2.47 spl52_172 <=> ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X2,X0) | $less(sF16,X2) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X1,0) | $less(X0,X1))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_172])])). 14.34/2.47 tff(f9368,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,sK4),app2(string_of_array1(sF14,X1,sK4),string_of_array1(sF14,X0,X1))) | $less(sK4,X1) | $less(X0,0) | $less(X1,X0)) ) | (spl52_26 | ~spl52_172 | ~spl52_173 | ~spl52_468)), 14.34/2.47 inference(subsumption_resolution,[],[f9345,f683])). 14.34/2.47 tff(f9345,plain,( 14.34/2.47 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),app2(string_of_array1(sF14,X1,sK4),string_of_array1(sF14,X0,X1))) | $less(X1,X0) | $less(sK4,X1) | $less(sK4,0)) ) | (~spl52_172 | ~spl52_173 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f5147])). 14.34/2.47 tff(f5147,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK4,X2) | $less(X1,0) | $less(X2,X0) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X0,X1)) ) | (~spl52_172 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f1996,f2011])). 14.34/2.47 tff(f1996,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X2,X0) | $less(sF16,X2) | $less(X1,0) | $less(X0,X1)) ) | ~spl52_172), 14.34/2.47 inference(avatar_component_clause,[],[f1995])). 14.34/2.47 tff(f9367,plain,( 14.34/2.47 ~spl52_92 | ~spl52_468), 14.34/2.47 inference(avatar_contradiction_clause,[],[f9366])). 14.34/2.47 tff(f9366,plain,( 14.34/2.47 $false | (~spl52_92 | ~spl52_468)), 14.34/2.47 inference(subsumption_resolution,[],[f9320,f1090])). 14.34/2.47 tff(f1090,plain,( 14.34/2.47 $less(0,sK4) | ~spl52_92), 14.34/2.47 inference(avatar_component_clause,[],[f1088])). 14.34/2.47 tff(f1088,plain,( 14.34/2.47 spl52_92 <=> $less(0,sK4)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_92])])). 14.34/2.47 tff(f9320,plain,( 14.34/2.47 ~$less(0,sK4) | ~spl52_468), 14.34/2.47 inference(interpreted_simplification,[],[f9319])). 14.34/2.47 tff(f9319,plain,( 14.34/2.47 ~$less(0,sK4) | $less(0,0) | ~spl52_468), 14.34/2.47 inference(instantiation,[],[f7715])). 14.34/2.47 tff(f9362,plain,( 14.34/2.47 spl52_395 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_468), 14.34/2.47 inference(avatar_split_clause,[],[f9361,f7714,f2009,f1322,f1198,f974,f701,f681,f5765])). 14.34/2.47 tff(f5765,plain,( 14.34/2.47 spl52_395 <=> ! [X4 : $int,X5 : rope1,X3 : $int] : ($less(sK4,X3) | infix_eqeq1(string_of_array1(sF14,X3,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X4),t2tb2(X5)))),X3,sK4)) | $less(X4,0) | ~$less(X4,X3))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_395])])). 14.34/2.47 tff(f9361,plain,( 14.34/2.47 ( ! [X2 : rope1,X0 : $int,X1 : $int] : ($less(X1,0) | $less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X1),t2tb2(X2)))),X0,sK4)) | ~$less(X1,X0)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_468)), 14.34/2.47 inference(subsumption_resolution,[],[f9343,f683])). 14.34/2.47 tff(f9343,plain,( 14.34/2.47 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (~$less(X1,X0) | $less(sK4,X0) | $less(X1,0) | $less(sK4,0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X1),t2tb2(X2)))),X0,sK4))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f2211])). 14.34/2.47 tff(f2211,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X2),t2tb2(X3)))),X1,X0)) | $less(X2,0) | ~$less(X2,X1) | $less(X0,X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2210,f2011])). 14.34/2.47 tff(f2210,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (~$less(X2,X1) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,sF16,set(rope,int,sF12,t2tb(X2),t2tb2(X3)))),X1,X0)) | $less(sK4,X0) | $less(X0,X1) | $less(X2,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2209,f1200])). 14.34/2.47 tff(f2209,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(X0,X1) | ~$less(X2,X1) | $less(X2,0) | $less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,sF12,t2tb(X2),t2tb2(X3)))),X1,X0))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2208,f1324])). 14.34/2.47 tff(f2208,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(X2,0) | $less(sK4,X0) | $less(X0,X1) | ~$less(X2,X1) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X2),t2tb2(X3)))),X1,X0))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2207,f2011])). 14.34/2.47 tff(f2207,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(X2,0) | ~$less(X2,X1) | $less(X0,X1) | $less(sF16,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X2),t2tb2(X3)))),X1,X0))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.47 inference(forward_demodulation,[],[f2206,f1200])). 14.34/2.47 tff(f2206,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(length5(rope,sF13),X0) | $less(X2,0) | $less(X0,X1) | ~$less(X2,X1) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X2),t2tb2(X3)))),X1,X0))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2205,f976])). 14.34/2.47 tff(f2205,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(length5(rope,sF15),X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X2),t2tb2(X3)))),X1,X0)) | $less(X0,X1) | ~$less(X2,X1) | $less(X2,0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2203,f976])). 14.34/2.47 tff(f2203,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF15),set(rope,int,elts(rope,sF15),t2tb(X2),t2tb2(X3)))),X1,X0)) | $less(X2,0) | $less(X0,X1) | ~$less(X2,X1) | $less(length5(rope,sF15),X0)) ) | ~spl52_30), 14.34/2.47 inference(superposition,[],[f2187,f703])). 14.34/2.47 tff(f2187,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : array_rope,X4 : $int] : ($less(length5(rope,t2tb1(X1)),X0) | $less(X0,X2) | $less(X4,0) | infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),t2tb(X4),t2tb2(X3)))),X2,X0)) | ~$less(X4,X2)) )), 14.34/2.47 inference(subsumption_resolution,[],[f498,f128])). 14.34/2.47 tff(f498,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : array_rope,X4 : $int] : ($less(X2,0) | $less(length5(rope,t2tb1(X1)),X0) | ~$less(X4,X2) | infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),t2tb(X4),t2tb2(X3)))),X2,X0)) | $less(X4,0) | $less(X0,X2)) )), 14.34/2.47 inference(definition_unfolding,[],[f471,f418])). 14.34/2.47 tff(f418,plain,( 14.34/2.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : $int] : (set2(X0,X2,X1,X3) = mk_array1(X0,length5(X0,X2),set(X0,int,elts(X0,X2),t2tb(X1),X3))) )), 14.34/2.47 inference(cnf_transformation,[],[f313])). 14.34/2.47 tff(f313,plain,( 14.34/2.47 ! [X0 : ty,X1 : $int,X2 : uni,X3 : uni] : set2(X0,X2,X1,X3) = mk_array1(X0,length5(X0,X2),set(X0,int,elts(X0,X2),t2tb(X1),X3))), 14.34/2.47 inference(rectify,[],[f198])). 14.34/2.47 tff(f198,plain,( 14.34/2.47 ! [X2 : ty,X1 : $int,X3 : uni,X0 : uni] : set2(X2,X3,X1,X0) = mk_array1(X2,length5(X2,X3),set(X2,int,elts(X2,X3),t2tb(X1),X0))), 14.34/2.47 inference(rectify,[],[f15])). 14.34/2.47 tff(f15,axiom,( 14.34/2.47 ! [X12 : uni,X20 : $int,X7 : ty,X19 : uni] : set2(X7,X19,X20,X12) = mk_array1(X7,length5(X7,X19),set(X7,int,elts(X7,X19),t2tb(X20),X12))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f471,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : array_rope,X4 : $int] : (infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(set2(rope,t2tb1(X1),X4,t2tb2(X3))),X2,X0)) | $less(X4,0) | ~$less(X4,X2) | $less(X2,0) | $less(length5(rope,t2tb1(X1)),X0) | $less(X0,X2)) )), 14.34/2.47 inference(cnf_transformation,[],[f340])). 14.34/2.47 tff(f340,plain,( 14.34/2.47 ! [X0 : $int,X1 : array_rope,X2 : $int] : (! [X3 : rope1,X4 : $int] : (infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(set2(rope,t2tb1(X1),X4,t2tb2(X3))),X2,X0)) | ((~$less(X4,length5(rope,t2tb1(X1))) | $less(X4,X0)) & ($less(X4,0) | ~$less(X4,X2)))) | $less(X2,0) | $less(length5(rope,t2tb1(X1)),X0) | $less(X0,X2))), 14.34/2.47 inference(rectify,[],[f270])). 14.34/2.47 tff(f270,plain,( 14.34/2.47 ! [X1 : $int,X0 : array_rope,X2 : $int] : (! [X3 : rope1,X4 : $int] : (infix_eqeq1(string_of_array1(X0,X2,X1),string_of_array1(tb2t1(set2(rope,t2tb1(X0),X4,t2tb2(X3))),X2,X1)) | ((~$less(X4,length5(rope,t2tb1(X0))) | $less(X4,X1)) & ($less(X4,0) | ~$less(X4,X2)))) | $less(X2,0) | $less(length5(rope,t2tb1(X0)),X1) | $less(X1,X2))), 14.34/2.47 inference(flattening,[],[f269])). 14.34/2.47 tff(f269,plain,( 14.34/2.47 ! [X2 : $int,X0 : array_rope,X1 : $int] : (! [X3 : rope1,X4 : $int] : (infix_eqeq1(string_of_array1(X0,X2,X1),string_of_array1(tb2t1(set2(rope,t2tb1(X0),X4,t2tb2(X3))),X2,X1)) | ((~$less(X4,length5(rope,t2tb1(X0))) | $less(X4,X1)) & ($less(X4,0) | ~$less(X4,X2)))) | ($less(length5(rope,t2tb1(X0)),X1) | $less(X2,0) | $less(X1,X2)))), 14.34/2.47 inference(ennf_transformation,[],[f210])). 14.34/2.47 tff(f210,plain,( 14.34/2.47 ! [X2 : $int,X0 : array_rope,X1 : $int] : ((~$less(length5(rope,t2tb1(X0)),X1) & ~$less(X2,0) & ~$less(X1,X2)) => ! [X3 : rope1,X4 : $int] : ((($less(X4,X2) & ~$less(X4,0)) | (~$less(X4,X1) & $less(X4,length5(rope,t2tb1(X0))))) => infix_eqeq1(string_of_array1(X0,X2,X1),string_of_array1(tb2t1(set2(rope,t2tb1(X0),X4,t2tb2(X3))),X2,X1))))), 14.34/2.47 inference(rectify,[],[f117])). 14.34/2.47 tff(f117,plain,( 14.34/2.47 ! [X3 : array_rope,X0 : $int,X25 : $int] : ((~$less(length5(rope,t2tb1(X3)),X0) & ~$less(X0,X25) & ~$less(X25,0)) => ! [X15 : rope1,X20 : $int] : (((~$less(X20,0) & $less(X20,X25)) | ($less(X20,length5(rope,t2tb1(X3))) & ~$less(X20,X0))) => infix_eqeq1(string_of_array1(X3,X25,X0),string_of_array1(tb2t1(set2(rope,t2tb1(X3),X20,t2tb2(X15))),X25,X0))))), 14.34/2.47 inference(theory_normalization,[],[f33])). 14.34/2.47 tff(f33,axiom,( 14.34/2.47 ! [X3 : array_rope,X0 : $int,X25 : $int] : (($lesseq(X0,length5(rope,t2tb1(X3))) & $lesseq(X25,X0) & $lesseq(0,X25)) => ! [X15 : rope1,X20 : $int] : ((($lesseq(0,X20) & $less(X20,X25)) | ($less(X20,length5(rope,t2tb1(X3))) & $lesseq(X0,X20))) => infix_eqeq1(string_of_array1(X3,X25,X0),string_of_array1(tb2t1(set2(rope,t2tb1(X3),X20,t2tb2(X15))),X25,X0))))), 14.34/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.47 tff(f9360,plain,( 14.34/2.47 spl52_503 | ~spl52_182 | ~spl52_468), 14.34/2.47 inference(avatar_split_clause,[],[f9336,f7714,f2259,f9357])). 14.34/2.47 tff(f9336,plain,( 14.34/2.47 $less(max3,0) | (~spl52_182 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f2261])). 14.34/2.47 tff(f9350,plain,( 14.34/2.47 ~spl52_92 | ~spl52_468), 14.34/2.47 inference(avatar_contradiction_clause,[],[f9349])). 14.34/2.47 tff(f9349,plain,( 14.34/2.47 $false | (~spl52_92 | ~spl52_468)), 14.34/2.47 inference(evaluation,[],[f9338])). 14.34/2.47 tff(f9338,plain,( 14.34/2.47 $less(0,0) | (~spl52_92 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f1090])). 14.34/2.47 tff(f9348,plain,( 14.34/2.47 ~spl52_2 | ~spl52_468), 14.34/2.47 inference(avatar_contradiction_clause,[],[f9347])). 14.34/2.47 tff(f9347,plain,( 14.34/2.47 $false | (~spl52_2 | ~spl52_468)), 14.34/2.47 inference(evaluation,[],[f9337])). 14.34/2.47 tff(f9337,plain,( 14.34/2.47 $less(2,0) | (~spl52_2 | ~spl52_468)), 14.34/2.47 inference(resolution,[],[f7715,f563])). 14.34/2.47 tff(f9318,plain,( 14.34/2.47 spl52_501 | spl52_502 | spl52_478), 14.34/2.47 inference(avatar_split_clause,[],[f9308,f9194,f9316,f9311])). 14.34/2.47 tff(f9311,plain,( 14.34/2.47 spl52_501 <=> 0 = $sum(sF26,sF18)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_501])])). 14.34/2.47 tff(f9194,plain,( 14.34/2.47 spl52_478 <=> $less($sum(sF26,sF18),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_478])])). 14.34/2.47 tff(f9308,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF26,sF18)) | ~$less(X0,0) | 0 = $sum(sF26,sF18)) ) | spl52_478), 14.34/2.47 inference(resolution,[],[f9196,f1052])). 14.34/2.47 tff(f9196,plain,( 14.34/2.47 ~$less($sum(sF26,sF18),0) | spl52_478), 14.34/2.47 inference(avatar_component_clause,[],[f9194])). 14.34/2.47 tff(f9314,plain,( 14.34/2.47 spl52_486 | spl52_501 | spl52_478), 14.34/2.47 inference(avatar_split_clause,[],[f9309,f9194,f9311,f9234])). 14.34/2.47 tff(f9309,plain,( 14.34/2.47 0 = $sum(sF26,sF18) | $less(0,$sum(sF26,sF18)) | spl52_478), 14.34/2.47 inference(resolution,[],[f9196,f129])). 14.34/2.47 tff(f9307,plain,( 14.34/2.47 spl52_500 | ~spl52_347 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9178,f9161,f4712,f9304])). 14.34/2.47 tff(f4712,plain,( 14.34/2.47 spl52_347 <=> $less(0,$sum(sF37,sF40))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_347])])). 14.34/2.47 tff(f9178,plain,( 14.34/2.47 $less(0,$sum(sF26,sF40)) | (~spl52_347 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4714,f9163])). 14.34/2.47 tff(f4714,plain,( 14.34/2.47 $less(0,$sum(sF37,sF40)) | ~spl52_347), 14.34/2.47 inference(avatar_component_clause,[],[f4712])). 14.34/2.47 tff(f9302,plain,( 14.34/2.47 ~spl52_499 | spl52_382 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9185,f9161,f5393,f9299])). 14.34/2.47 tff(f5393,plain,( 14.34/2.47 spl52_382 <=> $less($sum(sF47,sF37),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_382])])). 14.34/2.47 tff(f9185,plain,( 14.34/2.47 ~$less($sum(sF47,sF26),0) | (spl52_382 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5395,f9163])). 14.34/2.47 tff(f5395,plain,( 14.34/2.47 ~$less($sum(sF47,sF37),0) | spl52_382), 14.34/2.47 inference(avatar_component_clause,[],[f5393])). 14.34/2.47 tff(f9297,plain,( 14.34/2.47 ~spl52_498 | spl52_342 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9175,f9161,f4686,f9294])). 14.34/2.47 tff(f4686,plain,( 14.34/2.47 spl52_342 <=> $less($sum(sF37,sF40),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_342])])). 14.34/2.47 tff(f9175,plain,( 14.34/2.47 ~$less($sum(sF26,sF40),0) | (spl52_342 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4688,f9163])). 14.34/2.47 tff(f4688,plain,( 14.34/2.47 ~$less($sum(sF37,sF40),0) | spl52_342), 14.34/2.47 inference(avatar_component_clause,[],[f4686])). 14.34/2.47 tff(f9292,plain,( 14.34/2.47 ~spl52_497 | spl52_341 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9174,f9161,f4680,f9289])). 14.34/2.47 tff(f4680,plain,( 14.34/2.47 spl52_341 <=> $less($sum(sF37,sF22),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_341])])). 14.34/2.47 tff(f9174,plain,( 14.34/2.47 ~$less($sum(sF26,sF22),0) | (spl52_341 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4682,f9163])). 14.34/2.47 tff(f4682,plain,( 14.34/2.47 ~$less($sum(sF37,sF22),0) | spl52_341), 14.34/2.47 inference(avatar_component_clause,[],[f4680])). 14.34/2.47 tff(f9287,plain,( 14.34/2.47 spl52_496 | ~spl52_48 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9165,f9161,f791,f9284])). 14.34/2.47 tff(f9165,plain,( 14.34/2.47 sF44 = $sum(sF26,sF43) | (~spl52_48 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f793,f9163])). 14.34/2.47 tff(f9282,plain,( 14.34/2.47 spl52_495 | ~spl52_453 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9192,f9161,f6721,f9279])). 14.34/2.47 tff(f6721,plain,( 14.34/2.47 spl52_453 <=> $less(0,$sum(sF37,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_453])])). 14.34/2.47 tff(f9192,plain,( 14.34/2.47 $less(0,$sum(sF26,sF20)) | (~spl52_453 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f6723,f9163])). 14.34/2.47 tff(f6723,plain,( 14.34/2.47 $less(0,$sum(sF37,sF20)) | ~spl52_453), 14.34/2.47 inference(avatar_component_clause,[],[f6721])). 14.34/2.47 tff(f9277,plain,( 14.34/2.47 spl52_494 | ~spl52_387 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9187,f9161,f5454,f9274])). 14.34/2.47 tff(f5454,plain,( 14.34/2.47 spl52_387 <=> $less(0,$sum(sF47,sF37))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_387])])). 14.34/2.47 tff(f9187,plain,( 14.34/2.47 $less(0,$sum(sF47,sF26)) | (~spl52_387 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5456,f9163])). 14.34/2.47 tff(f5456,plain,( 14.34/2.47 $less(0,$sum(sF47,sF37)) | ~spl52_387), 14.34/2.47 inference(avatar_component_clause,[],[f5454])). 14.34/2.47 tff(f9272,plain,( 14.34/2.47 ~spl52_493 | spl52_343 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9176,f9161,f4692,f9269])). 14.34/2.47 tff(f4692,plain,( 14.34/2.47 spl52_343 <=> $less($sum(sF37,sF47),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_343])])). 14.34/2.47 tff(f9176,plain,( 14.34/2.47 ~$less($sum(sF26,sF47),0) | (spl52_343 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4694,f9163])). 14.34/2.47 tff(f4694,plain,( 14.34/2.47 ~$less($sum(sF37,sF47),0) | spl52_343), 14.34/2.47 inference(avatar_component_clause,[],[f4692])). 14.34/2.47 tff(f9267,plain,( 14.34/2.47 ~spl52_492 | spl52_324 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9171,f9161,f4407,f9264])). 14.34/2.47 tff(f4407,plain,( 14.34/2.47 spl52_324 <=> $less($sum(sF18,sF37),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_324])])). 14.34/2.47 tff(f9171,plain,( 14.34/2.47 ~$less($sum(sF18,sF26),0) | (spl52_324 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4409,f9163])). 14.34/2.47 tff(f4409,plain,( 14.34/2.47 ~$less($sum(sF18,sF37),0) | spl52_324), 14.34/2.47 inference(avatar_component_clause,[],[f4407])). 14.34/2.47 tff(f9262,plain,( 14.34/2.47 ~spl52_491 | spl52_380 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9183,f9161,f5382,f9259])). 14.34/2.47 tff(f5382,plain,( 14.34/2.47 spl52_380 <=> $less($sum(sF40,sF37),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_380])])). 14.34/2.47 tff(f9183,plain,( 14.34/2.47 ~$less($sum(sF40,sF26),0) | (spl52_380 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5384,f9163])). 14.34/2.47 tff(f5384,plain,( 14.34/2.47 ~$less($sum(sF40,sF37),0) | spl52_380), 14.34/2.47 inference(avatar_component_clause,[],[f5382])). 14.34/2.47 tff(f9257,plain,( 14.34/2.47 ~spl52_490 | spl52_432 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9189,f9161,f6377,f9254])). 14.34/2.47 tff(f6377,plain,( 14.34/2.47 spl52_432 <=> $less($sum(sF20,sF37),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_432])])). 14.34/2.47 tff(f9189,plain,( 14.34/2.47 ~$less($sum(sF20,sF26),0) | (spl52_432 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f6379,f9163])). 14.34/2.47 tff(f6379,plain,( 14.34/2.47 ~$less($sum(sF20,sF37),0) | spl52_432), 14.34/2.47 inference(avatar_component_clause,[],[f6377])). 14.34/2.47 tff(f9252,plain,( 14.34/2.47 spl52_489 | ~spl52_349 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9179,f9161,f4723,f9249])). 14.34/2.47 tff(f4723,plain,( 14.34/2.47 spl52_349 <=> $less(0,$sum(sF37,sF47))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_349])])). 14.34/2.47 tff(f9179,plain,( 14.34/2.47 $less(0,$sum(sF26,sF47)) | (~spl52_349 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4725,f9163])). 14.34/2.47 tff(f4725,plain,( 14.34/2.47 $less(0,$sum(sF37,sF47)) | ~spl52_349), 14.34/2.47 inference(avatar_component_clause,[],[f4723])). 14.34/2.47 tff(f9247,plain,( 14.34/2.47 spl52_488 | ~spl52_447 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9191,f9161,f6532,f9244])). 14.34/2.47 tff(f6532,plain,( 14.34/2.47 spl52_447 <=> $less(0,$sum(sF20,sF37))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_447])])). 14.34/2.47 tff(f9191,plain,( 14.34/2.47 $less(0,$sum(sF20,sF26)) | (~spl52_447 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f6534,f9163])). 14.34/2.47 tff(f6534,plain,( 14.34/2.47 $less(0,$sum(sF20,sF37)) | ~spl52_447), 14.34/2.47 inference(avatar_component_clause,[],[f6532])). 14.34/2.47 tff(f9242,plain,( 14.34/2.47 ~spl52_487 | spl52_434 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9190,f9161,f6388,f9239])). 14.34/2.47 tff(f6388,plain,( 14.34/2.47 spl52_434 <=> $less($sum(sF37,sF20),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_434])])). 14.34/2.47 tff(f9190,plain,( 14.34/2.47 ~$less($sum(sF26,sF20),0) | (spl52_434 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f6390,f9163])). 14.34/2.47 tff(f6390,plain,( 14.34/2.47 ~$less($sum(sF37,sF20),0) | spl52_434), 14.34/2.47 inference(avatar_component_clause,[],[f6388])). 14.34/2.47 tff(f9237,plain,( 14.34/2.47 spl52_486 | ~spl52_352 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9180,f9161,f4768,f9234])). 14.34/2.47 tff(f4768,plain,( 14.34/2.47 spl52_352 <=> $less(0,$sum(sF37,sF18))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_352])])). 14.34/2.47 tff(f9180,plain,( 14.34/2.47 $less(0,$sum(sF26,sF18)) | (~spl52_352 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4770,f9163])). 14.34/2.47 tff(f4770,plain,( 14.34/2.47 $less(0,$sum(sF37,sF18)) | ~spl52_352), 14.34/2.47 inference(avatar_component_clause,[],[f4768])). 14.34/2.47 tff(f9232,plain,( 14.34/2.47 spl52_485 | ~spl52_355 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9181,f9161,f4851,f9229])). 14.34/2.47 tff(f4851,plain,( 14.34/2.47 spl52_355 <=> $less(0,$sum(sF37,sF37))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_355])])). 14.34/2.47 tff(f9181,plain,( 14.34/2.47 $less(0,$sum(sF26,sF26)) | (~spl52_355 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4853,f9163])). 14.34/2.47 tff(f4853,plain,( 14.34/2.47 $less(0,$sum(sF37,sF37)) | ~spl52_355), 14.34/2.47 inference(avatar_component_clause,[],[f4851])). 14.34/2.47 tff(f9227,plain,( 14.34/2.47 ~spl52_484 | spl52_381 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9184,f9161,f5387,f9224])). 14.34/2.47 tff(f5387,plain,( 14.34/2.47 spl52_381 <=> $less($sum(sF22,sF37),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_381])])). 14.34/2.47 tff(f9184,plain,( 14.34/2.47 ~$less($sum(sF22,sF26),0) | (spl52_381 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5389,f9163])). 14.34/2.47 tff(f5389,plain,( 14.34/2.47 ~$less($sum(sF22,sF37),0) | spl52_381), 14.34/2.47 inference(avatar_component_clause,[],[f5387])). 14.34/2.47 tff(f9222,plain,( 14.34/2.47 spl52_483 | ~spl52_385 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9186,f9161,f5408,f9219])). 14.34/2.47 tff(f5408,plain,( 14.34/2.47 spl52_385 <=> $less(0,$sum(sF40,sF37))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_385])])). 14.34/2.47 tff(f9186,plain,( 14.34/2.47 $less(0,$sum(sF40,sF26)) | (~spl52_385 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5410,f9163])). 14.34/2.47 tff(f5410,plain,( 14.34/2.47 $less(0,$sum(sF40,sF37)) | ~spl52_385), 14.34/2.47 inference(avatar_component_clause,[],[f5408])). 14.34/2.47 tff(f9217,plain,( 14.34/2.47 spl52_482 | ~spl52_359 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9182,f9161,f5039,f9214])). 14.34/2.47 tff(f5039,plain,( 14.34/2.47 spl52_359 <=> $less(0,$sum(sF37,sF22))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_359])])). 14.34/2.47 tff(f9182,plain,( 14.34/2.47 $less(0,$sum(sF26,sF22)) | (~spl52_359 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5041,f9163])). 14.34/2.47 tff(f5041,plain,( 14.34/2.47 $less(0,$sum(sF37,sF22)) | ~spl52_359), 14.34/2.47 inference(avatar_component_clause,[],[f5039])). 14.34/2.47 tff(f9212,plain,( 14.34/2.47 spl52_481 | ~spl52_392 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9188,f9161,f5670,f9209])). 14.34/2.47 tff(f5670,plain,( 14.34/2.47 spl52_392 <=> $less(0,$sum(sF22,sF37))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_392])])). 14.34/2.47 tff(f9188,plain,( 14.34/2.47 $less(0,$sum(sF22,sF26)) | (~spl52_392 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f5672,f9163])). 14.34/2.47 tff(f5672,plain,( 14.34/2.47 $less(0,$sum(sF22,sF37)) | ~spl52_392), 14.34/2.47 inference(avatar_component_clause,[],[f5670])). 14.34/2.47 tff(f9207,plain,( 14.34/2.47 ~spl52_480 | spl52_344 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9177,f9161,f4697,f9204])). 14.34/2.47 tff(f4697,plain,( 14.34/2.47 spl52_344 <=> $less($sum(sF37,sF37),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_344])])). 14.34/2.47 tff(f9177,plain,( 14.34/2.47 ~$less($sum(sF26,sF26),0) | (spl52_344 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4699,f9163])). 14.34/2.47 tff(f4699,plain,( 14.34/2.47 ~$less($sum(sF37,sF37),0) | spl52_344), 14.34/2.47 inference(avatar_component_clause,[],[f4697])). 14.34/2.47 tff(f9202,plain,( 14.34/2.47 spl52_479 | ~spl52_338 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9172,f9161,f4644,f9199])). 14.34/2.47 tff(f4644,plain,( 14.34/2.47 spl52_338 <=> $less(0,$sum(sF18,sF37))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_338])])). 14.34/2.47 tff(f9172,plain,( 14.34/2.47 $less(0,$sum(sF18,sF26)) | (~spl52_338 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4646,f9163])). 14.34/2.47 tff(f4646,plain,( 14.34/2.47 $less(0,$sum(sF18,sF37)) | ~spl52_338), 14.34/2.47 inference(avatar_component_clause,[],[f4644])). 14.34/2.47 tff(f9197,plain,( 14.34/2.47 ~spl52_478 | spl52_340 | ~spl52_477), 14.34/2.47 inference(avatar_split_clause,[],[f9173,f9161,f4675,f9194])). 14.34/2.47 tff(f4675,plain,( 14.34/2.47 spl52_340 <=> $less($sum(sF37,sF18),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_340])])). 14.34/2.47 tff(f9173,plain,( 14.34/2.47 ~$less($sum(sF26,sF18),0) | (spl52_340 | ~spl52_477)), 14.34/2.47 inference(superposition,[],[f4677,f9163])). 14.34/2.47 tff(f4677,plain,( 14.34/2.47 ~$less($sum(sF37,sF18),0) | spl52_340), 14.34/2.47 inference(avatar_component_clause,[],[f4675])). 14.34/2.47 tff(f9164,plain,( 14.34/2.47 spl52_477 | ~spl52_231 | ~spl52_246 | ~spl52_430), 14.34/2.47 inference(avatar_split_clause,[],[f9159,f6326,f2981,f2832,f9161])). 14.34/2.47 tff(f2981,plain,( 14.34/2.47 spl52_246 <=> sF37 = $sum(sF18,length3(sF35))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_246])])). 14.34/2.47 tff(f9159,plain,( 14.34/2.47 sF26 = sF37 | (~spl52_231 | ~spl52_246 | ~spl52_430)), 14.34/2.47 inference(forward_demodulation,[],[f9158,f6328])). 14.34/2.47 tff(f9158,plain,( 14.34/2.47 sF37 = $sum(sF18,sF20) | (~spl52_231 | ~spl52_246)), 14.34/2.47 inference(forward_demodulation,[],[f2983,f2834])). 14.34/2.47 tff(f2983,plain,( 14.34/2.47 sF37 = $sum(sF18,length3(sF35)) | ~spl52_246), 14.34/2.47 inference(avatar_component_clause,[],[f2981])). 14.34/2.47 tff(f9157,plain,( 14.34/2.47 spl52_391 | ~spl52_392), 14.34/2.47 inference(avatar_split_clause,[],[f9156,f5670,f5666])). 14.34/2.47 tff(f5666,plain,( 14.34/2.47 spl52_391 <=> ! [X0 : $int] : ($less(X0,$sum(sF22,sF37)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_391])])). 14.34/2.47 tff(f9156,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF22,sF37)) | ~$less(X0,0)) ) | ~spl52_392), 14.34/2.47 inference(resolution,[],[f5672,f128])). 14.34/2.47 tff(f8885,plain,( 14.34/2.47 spl52_379 | ~spl52_378), 14.34/2.47 inference(avatar_split_clause,[],[f8884,f5350,f5355])). 14.34/2.47 tff(f5355,plain,( 14.34/2.47 spl52_379 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF22,sF18)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_379])])). 14.34/2.47 tff(f5350,plain,( 14.34/2.47 spl52_378 <=> $less(0,$sum(sF22,sF18))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_378])])). 14.34/2.47 tff(f8884,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF22,sF18)) | ~$less(X0,0)) ) | ~spl52_378), 14.34/2.47 inference(resolution,[],[f5352,f128])). 14.34/2.47 tff(f5352,plain,( 14.34/2.47 $less(0,$sum(sF22,sF18)) | ~spl52_378), 14.34/2.47 inference(avatar_component_clause,[],[f5350])). 14.34/2.47 tff(f8883,plain,( 14.34/2.47 spl52_361 | ~spl52_359), 14.34/2.47 inference(avatar_split_clause,[],[f8882,f5039,f5048])). 14.34/2.47 tff(f5048,plain,( 14.34/2.47 spl52_361 <=> ! [X0 : $int] : ($less(X0,$sum(sF37,sF22)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_361])])). 14.34/2.47 tff(f8882,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF37,sF22))) ) | ~spl52_359), 14.34/2.47 inference(resolution,[],[f5041,f128])). 14.34/2.47 tff(f8511,plain,( 14.34/2.47 spl52_454 | ~spl52_453), 14.34/2.47 inference(avatar_split_clause,[],[f8510,f6721,f6726])). 14.34/2.47 tff(f6726,plain,( 14.34/2.47 spl52_454 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF37,sF20)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_454])])). 14.34/2.47 tff(f8510,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF20)) | ~$less(X0,0)) ) | ~spl52_453), 14.34/2.47 inference(resolution,[],[f6723,f128])). 14.34/2.47 tff(f8509,plain,( 14.34/2.47 spl52_448 | ~spl52_450), 14.34/2.47 inference(avatar_split_clause,[],[f8508,f6690,f6682])). 14.34/2.47 tff(f6682,plain,( 14.34/2.47 spl52_448 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF20,sF18)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_448])])). 14.34/2.47 tff(f6690,plain,( 14.34/2.47 spl52_450 <=> $less(0,$sum(sF20,sF18))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_450])])). 14.34/2.47 tff(f8508,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF20,sF18))) ) | ~spl52_450), 14.34/2.47 inference(resolution,[],[f6692,f128])). 14.34/2.47 tff(f6692,plain,( 14.34/2.47 $less(0,$sum(sF20,sF18)) | ~spl52_450), 14.34/2.47 inference(avatar_component_clause,[],[f6690])). 14.34/2.47 tff(f8507,plain,( 14.34/2.47 spl52_446 | ~spl52_447), 14.34/2.47 inference(avatar_split_clause,[],[f8506,f6532,f6528])). 14.34/2.47 tff(f6528,plain,( 14.34/2.47 spl52_446 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF20,sF37)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_446])])). 14.34/2.47 tff(f8506,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF20,sF37))) ) | ~spl52_447), 14.34/2.47 inference(resolution,[],[f6534,f128])). 14.34/2.47 tff(f8469,plain,( 14.34/2.47 spl52_476 | spl52_474 | spl52_441), 14.34/2.47 inference(avatar_split_clause,[],[f8456,f6452,f8458,f8466])). 14.34/2.47 tff(f8466,plain,( 14.34/2.47 spl52_476 <=> $less(sF20,length3(str_proj_11(sK8)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_476])])). 14.34/2.47 tff(f6452,plain,( 14.34/2.47 spl52_441 <=> $less(length3(str_proj_11(sK8)),sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_441])])). 14.34/2.47 tff(f8456,plain,( 14.34/2.47 $less(sF20,length3(str_proj_11(sK8))) | sF20 = length3(str_proj_11(sK8)) | spl52_441), 14.34/2.47 inference(resolution,[],[f6454,f129])). 14.34/2.47 tff(f6454,plain,( 14.34/2.47 ~$less(length3(str_proj_11(sK8)),sF20) | spl52_441), 14.34/2.47 inference(avatar_component_clause,[],[f6452])). 14.34/2.47 tff(f8464,plain,( 14.34/2.47 spl52_474 | spl52_475 | spl52_441), 14.34/2.47 inference(avatar_split_clause,[],[f8455,f6452,f8462,f8458])). 14.34/2.47 tff(f8462,plain,( 14.34/2.47 spl52_475 <=> ! [X0 : $int] : ($less(X0,length3(str_proj_11(sK8))) | ~$less(X0,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_475])])). 14.34/2.47 tff(f8455,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,length3(str_proj_11(sK8))) | sF20 = length3(str_proj_11(sK8)) | ~$less(X0,sF20)) ) | spl52_441), 14.34/2.47 inference(resolution,[],[f6454,f1052])). 14.34/2.47 tff(f8454,plain,( 14.34/2.47 spl52_390 | spl52_391 | spl52_381), 14.34/2.47 inference(avatar_split_clause,[],[f8451,f5387,f5666,f5662])). 14.34/2.47 tff(f5662,plain,( 14.34/2.47 spl52_390 <=> 0 = $sum(sF22,sF37)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_390])])). 14.34/2.47 tff(f8451,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF22,sF37) | $less(X0,$sum(sF22,sF37)) | ~$less(X0,0)) ) | spl52_381), 14.34/2.47 inference(resolution,[],[f5389,f1052])). 14.34/2.47 tff(f8453,plain,( 14.34/2.47 spl52_390 | spl52_392 | spl52_381), 14.34/2.47 inference(avatar_split_clause,[],[f8452,f5387,f5670,f5662])). 14.34/2.47 tff(f8452,plain,( 14.34/2.47 $less(0,$sum(sF22,sF37)) | 0 = $sum(sF22,sF37) | spl52_381), 14.34/2.47 inference(resolution,[],[f5389,f129])). 14.34/2.47 tff(f8450,plain,( 14.34/2.47 spl52_377 | spl52_379 | spl52_363), 14.34/2.47 inference(avatar_split_clause,[],[f8447,f5137,f5355,f5346])). 14.34/2.47 tff(f5346,plain,( 14.34/2.47 spl52_377 <=> 0 = $sum(sF22,sF18)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_377])])). 14.34/2.47 tff(f5137,plain,( 14.34/2.47 spl52_363 <=> $less($sum(sF22,sF18),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_363])])). 14.34/2.47 tff(f8447,plain,( 14.34/2.47 ( ! [X0 : $int] : (0 = $sum(sF22,sF18) | $less(X0,$sum(sF22,sF18)) | ~$less(X0,0)) ) | spl52_363), 14.34/2.47 inference(resolution,[],[f5139,f1052])). 14.34/2.47 tff(f5139,plain,( 14.34/2.47 ~$less($sum(sF22,sF18),0) | spl52_363), 14.34/2.47 inference(avatar_component_clause,[],[f5137])). 14.34/2.47 tff(f8449,plain,( 14.34/2.47 spl52_378 | spl52_377 | spl52_363), 14.34/2.47 inference(avatar_split_clause,[],[f8448,f5137,f5346,f5350])). 14.34/2.47 tff(f8448,plain,( 14.34/2.47 0 = $sum(sF22,sF18) | $less(0,$sum(sF22,sF18)) | spl52_363), 14.34/2.47 inference(resolution,[],[f5139,f129])). 14.34/2.47 tff(f8446,plain,( 14.34/2.47 spl52_359 | spl52_360 | spl52_341), 14.34/2.47 inference(avatar_split_clause,[],[f8444,f4680,f5043,f5039])). 14.34/2.47 tff(f5043,plain,( 14.34/2.47 spl52_360 <=> 0 = $sum(sF37,sF22)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_360])])). 14.34/2.47 tff(f8444,plain,( 14.34/2.47 $less(0,$sum(sF37,sF22)) | 0 = $sum(sF37,sF22) | spl52_341), 14.34/2.47 inference(resolution,[],[f4682,f129])). 14.34/2.47 tff(f8445,plain,( 14.34/2.47 spl52_360 | spl52_361 | spl52_341), 14.34/2.47 inference(avatar_split_clause,[],[f8443,f4680,f5048,f5043])). 14.34/2.47 tff(f8443,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | 0 = $sum(sF37,sF22) | $less(X0,$sum(sF37,sF22))) ) | spl52_341), 14.34/2.47 inference(resolution,[],[f4682,f1052])). 14.34/2.47 tff(f8435,plain,( 14.34/2.47 spl52_455 | spl52_457 | spl52_435), 14.34/2.47 inference(avatar_split_clause,[],[f8433,f6393,f6884,f6876])). 14.34/2.47 tff(f6876,plain,( 14.34/2.47 spl52_455 <=> 0 = $sum(sF18,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_455])])). 14.34/2.47 tff(f6884,plain,( 14.34/2.47 spl52_457 <=> $less(0,$sum(sF18,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_457])])). 14.34/2.47 tff(f6393,plain,( 14.34/2.47 spl52_435 <=> $less($sum(sF18,sF20),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_435])])). 14.34/2.47 tff(f8433,plain,( 14.34/2.47 0 = $sum(sF18,sF20) | $less(0,$sum(sF18,sF20)) | spl52_435), 14.34/2.47 inference(resolution,[],[f6395,f129])). 14.34/2.47 tff(f6395,plain,( 14.34/2.47 ~$less($sum(sF18,sF20),0) | spl52_435), 14.34/2.47 inference(avatar_component_clause,[],[f6393])). 14.34/2.47 tff(f8434,plain,( 14.34/2.47 spl52_455 | spl52_456 | spl52_435), 14.34/2.47 inference(avatar_split_clause,[],[f8432,f6393,f6880,f6876])). 14.34/2.47 tff(f6880,plain,( 14.34/2.47 spl52_456 <=> ! [X0 : $int] : ($less(X0,$sum(sF18,sF20)) | ~$less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_456])])). 14.34/2.47 tff(f8432,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF20)) | 0 = $sum(sF18,sF20)) ) | spl52_435), 14.34/2.47 inference(resolution,[],[f6395,f1052])). 14.34/2.47 tff(f8431,plain,( 14.34/2.47 spl52_454 | spl52_452 | spl52_434), 14.34/2.47 inference(avatar_split_clause,[],[f8428,f6388,f6717,f6726])). 14.34/2.47 tff(f6717,plain,( 14.34/2.47 spl52_452 <=> 0 = $sum(sF37,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_452])])). 14.34/2.47 tff(f8428,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF20)) | 0 = $sum(sF37,sF20) | ~$less(X0,0)) ) | spl52_434), 14.34/2.47 inference(resolution,[],[f6390,f1052])). 14.34/2.47 tff(f8430,plain,( 14.34/2.47 spl52_453 | spl52_452 | spl52_434), 14.34/2.47 inference(avatar_split_clause,[],[f8429,f6388,f6717,f6721])). 14.34/2.47 tff(f8429,plain,( 14.34/2.47 0 = $sum(sF37,sF20) | $less(0,$sum(sF37,sF20)) | spl52_434), 14.34/2.47 inference(resolution,[],[f6390,f129])). 14.34/2.47 tff(f8397,plain,( 14.34/2.47 spl52_448 | spl52_449 | spl52_433), 14.34/2.47 inference(avatar_split_clause,[],[f8394,f6383,f6685,f6682])). 14.34/2.47 tff(f6685,plain,( 14.34/2.47 spl52_449 <=> 0 = $sum(sF20,sF18)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_449])])). 14.34/2.47 tff(f6383,plain,( 14.34/2.47 spl52_433 <=> $less($sum(sF20,sF18),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_433])])). 14.34/2.47 tff(f8394,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,$sum(sF20,sF18)) | 0 = $sum(sF20,sF18) | ~$less(X0,0)) ) | spl52_433), 14.34/2.47 inference(resolution,[],[f6385,f1052])). 14.34/2.47 tff(f6385,plain,( 14.34/2.47 ~$less($sum(sF20,sF18),0) | spl52_433), 14.34/2.47 inference(avatar_component_clause,[],[f6383])). 14.34/2.47 tff(f8396,plain,( 14.34/2.47 spl52_450 | spl52_449 | spl52_433), 14.34/2.47 inference(avatar_split_clause,[],[f8395,f6383,f6685,f6690])). 14.34/2.47 tff(f8395,plain,( 14.34/2.47 $less(0,$sum(sF20,sF18)) | 0 = $sum(sF20,sF18) | spl52_433), 14.34/2.47 inference(resolution,[],[f6385,f129])). 14.34/2.47 tff(f8393,plain,( 14.34/2.47 spl52_447 | spl52_445 | spl52_432), 14.34/2.47 inference(avatar_split_clause,[],[f8391,f6377,f6524,f6532])). 14.34/2.47 tff(f6524,plain,( 14.34/2.47 spl52_445 <=> 0 = $sum(sF20,sF37)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_445])])). 14.34/2.47 tff(f8391,plain,( 14.34/2.47 0 = $sum(sF20,sF37) | $less(0,$sum(sF20,sF37)) | spl52_432), 14.34/2.47 inference(resolution,[],[f6379,f129])). 14.34/2.47 tff(f8392,plain,( 14.34/2.47 spl52_446 | spl52_445 | spl52_432), 14.34/2.47 inference(avatar_split_clause,[],[f8390,f6377,f6524,f6528])). 14.34/2.47 tff(f8390,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF20,sF37)) | 0 = $sum(sF20,sF37)) ) | spl52_432), 14.34/2.47 inference(resolution,[],[f6379,f1052])). 14.34/2.47 tff(f8348,plain,( 14.34/2.47 spl52_438 | ~spl52_437), 14.34/2.47 inference(avatar_split_clause,[],[f8347,f6407,f6412])). 14.34/2.47 tff(f6412,plain,( 14.34/2.47 spl52_438 <=> ! [X0 : $int] : (~$less(X0,length4(app_proj_21(sK8))) | $less(X0,0))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_438])])). 14.34/2.47 tff(f6407,plain,( 14.34/2.47 spl52_437 <=> $less(length4(app_proj_21(sK8)),0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_437])])). 14.34/2.47 tff(f8347,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length4(app_proj_21(sK8)))) ) | ~spl52_437), 14.34/2.47 inference(resolution,[],[f6409,f128])). 14.34/2.47 tff(f6409,plain,( 14.34/2.47 $less(length4(app_proj_21(sK8)),0) | ~spl52_437), 14.34/2.47 inference(avatar_component_clause,[],[f6407])). 14.34/2.47 tff(f8346,plain,( 14.34/2.47 spl52_276 | ~spl52_278), 14.34/2.47 inference(avatar_split_clause,[],[f8345,f3513,f3505])). 14.34/2.47 tff(f3505,plain,( 14.34/2.47 spl52_276 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,str_proj_21(sK8)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_276])])). 14.34/2.47 tff(f8345,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,str_proj_21(sK8))) ) | ~spl52_278), 14.34/2.47 inference(resolution,[],[f3515,f128])). 14.34/2.47 tff(f3515,plain,( 14.34/2.47 $less(0,str_proj_21(sK8)) | ~spl52_278), 14.34/2.47 inference(avatar_component_clause,[],[f3513])). 14.34/2.47 tff(f8134,plain,( 14.34/2.47 spl52_278 | spl52_277 | spl52_227), 14.34/2.47 inference(avatar_split_clause,[],[f8132,f2813,f3508,f3513])). 14.34/2.47 tff(f8132,plain,( 14.34/2.47 0 = str_proj_21(sK8) | $less(0,str_proj_21(sK8)) | spl52_227), 14.34/2.47 inference(resolution,[],[f2815,f129])). 14.34/2.47 tff(f8133,plain,( 14.34/2.47 spl52_277 | spl52_276 | spl52_227), 14.34/2.47 inference(avatar_split_clause,[],[f8131,f2813,f3505,f3508])). 14.34/2.47 tff(f8131,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,0) | 0 = str_proj_21(sK8) | $less(X0,str_proj_21(sK8))) ) | spl52_227), 14.34/2.47 inference(resolution,[],[f2815,f1052])). 14.34/2.47 tff(f8102,plain,( 14.34/2.47 spl52_467 | ~spl52_465), 14.34/2.47 inference(avatar_split_clause,[],[f8101,f7687,f7696])). 14.34/2.47 tff(f7687,plain,( 14.34/2.47 spl52_465 <=> $less(0,sF26)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_465])])). 14.34/2.47 tff(f8101,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF26) | ~$less(X0,0)) ) | ~spl52_465), 14.34/2.47 inference(resolution,[],[f7689,f128])). 14.34/2.47 tff(f7689,plain,( 14.34/2.47 $less(0,sF26) | ~spl52_465), 14.34/2.47 inference(avatar_component_clause,[],[f7687])). 14.34/2.47 tff(f8048,plain,( 14.34/2.47 spl52_286 | spl52_285 | spl52_232), 14.34/2.47 inference(avatar_split_clause,[],[f8046,f2836,f3693,f3697])). 14.34/2.47 tff(f3693,plain,( 14.34/2.47 spl52_285 <=> 0 = sF20), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_285])])). 14.34/2.47 tff(f2836,plain,( 14.34/2.47 spl52_232 <=> $less(sF20,0)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_232])])). 14.34/2.47 tff(f8046,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,sF20) | 0 = sF20 | ~$less(X0,0)) ) | spl52_232), 14.34/2.47 inference(resolution,[],[f2837,f1052])). 14.34/2.47 tff(f2837,plain,( 14.34/2.47 ~$less(sF20,0) | spl52_232), 14.34/2.47 inference(avatar_component_clause,[],[f2836])). 14.34/2.47 tff(f7939,plain,( 14.34/2.47 ~spl52_442 | spl52_368 | ~spl52_415 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.47 inference(avatar_split_clause,[],[f7938,f2009,f1322,f1198,f974,f806,f701,f681,f6025,f5172,f6462])). 14.34/2.47 tff(f6462,plain,( 14.34/2.47 spl52_442 <=> inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_442])])). 14.34/2.47 tff(f5172,plain,( 14.34/2.47 spl52_368 <=> $less(sK4,1)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_368])])). 14.34/2.47 tff(f6025,plain,( 14.34/2.47 spl52_415 <=> $less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19)))))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_415])])). 14.34/2.47 tff(f806,plain,( 14.34/2.47 spl52_51 <=> t2tb(0) = sF19), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_51])])). 14.34/2.47 tff(f7938,plain,( 14.34/2.47 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(sK4,1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f7937,f808])). 14.34/2.47 tff(f808,plain,( 14.34/2.47 t2tb(0) = sF19 | ~spl52_51), 14.34/2.47 inference(avatar_component_clause,[],[f806])). 14.34/2.47 tff(f7937,plain,( 14.34/2.47 $less(sK4,1) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(interpreted_simplification,[],[f7936])). 14.34/2.47 tff(f7936,plain,( 14.34/2.47 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(0,1) | $less(0,0) | $less(0,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(instantiation,[],[f2443])). 14.34/2.47 tff(f2443,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(X0,sF14,X1))))) | ~$less(X2,X1) | $less(X0,0) | $less(X2,X0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(sK4,X1)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2442,f1324])). 14.34/2.47 tff(f2442,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(sK4,X1) | $less(X2,X0) | ~$less(X2,X1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(X0,sF14,X1)))))) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2441,f2011])). 14.34/2.47 tff(f2441,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(X0,0) | $less(X2,X0) | $less(sF16,X1) | ~$less(X2,X1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(X0,sF14,X1)))))) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2440,f1200])). 14.34/2.47 tff(f2440,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(X0,0) | ~$less(X2,X1) | $less(X2,X0) | $less(length5(rope,sF13),X1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(X0,sF14,X1)))))) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2439,f976])). 14.34/2.47 tff(f2439,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,0) | $less(X2,X0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | ~$less(X2,X1) | $less(length5(rope,sF15),X1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(X0,sF14,X1)))))) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2438,f976])). 14.34/2.47 tff(f2438,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,X1) | $less(X2,X0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1))))) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(X0,0) | $less(length5(rope,sF15),X1)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(subsumption_resolution,[],[f2437,f683])). 14.34/2.47 tff(f2437,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK4,0) | $less(X0,0) | ~$less(X2,X1) | $less(X2,X0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1))))) | $less(length5(rope,sF15),X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.47 inference(forward_demodulation,[],[f2436,f2011])). 14.34/2.47 tff(f2436,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sF16,0) | ~$less(X2,X1) | $less(X0,0) | $less(X2,X0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(length5(rope,sF15),X1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1)))))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2435,f1200])). 14.34/2.47 tff(f2435,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF13),0) | $less(X0,0) | $less(X2,X0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1))))) | $less(length5(rope,sF15),X1) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | ~$less(X2,X1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_120)), 14.34/2.47 inference(forward_demodulation,[],[f2434,f1324])). 14.34/2.47 tff(f2434,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X2)))))) | $less(X0,0) | $less(length5(rope,sF15),X1) | ~$less(X2,X1) | $less(length5(rope,sF13),0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1))))) | $less(X2,X0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2433,f976])). 14.34/2.47 tff(f2433,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(X2)))))) | $less(X2,X0) | $less(length5(rope,sF13),0) | $less(length5(rope,sF15),X1) | ~$less(X2,X1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1)))))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.47 inference(forward_demodulation,[],[f2418,f976])). 14.34/2.47 tff(f2418,plain,( 14.34/2.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF15),0) | $less(X2,X0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(X0,sF14,X1))))) | $less(X0,0) | $less(length5(rope,sF15),X1) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(X2)))))) | ~$less(X2,X1)) ) | ~spl52_30), 14.34/2.47 inference(superposition,[],[f486,f703])). 14.34/2.47 tff(f486,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_rope] : (~inv1(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(sK1(X0,X1,X2))))) | $less(X3,X0) | $less(length5(rope,t2tb1(X1)),X2) | ~$less(X3,X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(X3)))))) | $less(length5(rope,t2tb1(X1)),0) | $less(X0,0)) )), 14.34/2.47 inference(definition_unfolding,[],[f369,f466,f466])). 14.34/2.47 tff(f369,plain,( 14.34/2.47 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),X2) | ~$less(length3(string_of_array1(X1,X0,X2)),length3(string3(tb2t2(get2(rope,t2tb1(X1),X3))))) | ~inv1(tb2t2(get2(rope,t2tb1(X1),sK1(X0,X1,X2)))) | ~$less(X3,X2) | $less(X3,X0) | $less(X0,0) | $less(length5(rope,t2tb1(X1)),0)) )), 14.34/2.47 inference(cnf_transformation,[],[f291])). 14.34/2.47 tff(f7927,plain,( 14.34/2.47 spl52_228 | spl52_227 | spl52_231 | ~spl52_28 | ~spl52_148 | ~spl52_233 | ~spl52_234), 14.34/2.47 inference(avatar_split_clause,[],[f7926,f2850,f2842,f1701,f691,f2832,f2813,f2819])). 14.34/2.47 tff(f2819,plain,( 14.34/2.47 spl52_228 <=> $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_228])])). 14.34/2.47 tff(f2842,plain,( 14.34/2.47 spl52_233 <=> $less(0,sF20)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_233])])). 14.34/2.47 tff(f2850,plain,( 14.34/2.47 spl52_234 <=> $less(str_proj_21(sK8),length3(str_proj_11(sK8)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_234])])). 14.34/2.47 tff(f7926,plain,( 14.34/2.47 $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sF20 = length3(sF35) | (~spl52_28 | ~spl52_148 | ~spl52_233 | ~spl52_234)), 14.34/2.47 inference(forward_demodulation,[],[f7925,f693])). 14.34/2.47 tff(f7925,plain,( 14.34/2.47 $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | sF20 = length3(string3(sK8)) | (~spl52_148 | ~spl52_233 | ~spl52_234)), 14.34/2.47 inference(subsumption_resolution,[],[f7924,f2852])). 14.34/2.47 tff(f2852,plain,( 14.34/2.47 $less(str_proj_21(sK8),length3(str_proj_11(sK8))) | ~spl52_234), 14.34/2.47 inference(avatar_component_clause,[],[f2850])). 14.34/2.47 tff(f7924,plain,( 14.34/2.47 ~$less(str_proj_21(sK8),length3(str_proj_11(sK8))) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | sF20 = length3(string3(sK8)) | (~spl52_148 | ~spl52_233)), 14.34/2.47 inference(subsumption_resolution,[],[f7896,f2844])). 14.34/2.47 tff(f2844,plain,( 14.34/2.47 $less(0,sF20) | ~spl52_233), 14.34/2.47 inference(avatar_component_clause,[],[f2842])). 14.34/2.47 tff(f7896,plain,( 14.34/2.47 $less(str_proj_21(sK8),0) | ~$less(0,sF20) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~$less(str_proj_21(sK8),length3(str_proj_11(sK8))) | sF20 = length3(string3(sK8)) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f1643,f1703])). 14.34/2.47 tff(f7923,plain,( 14.34/2.47 spl52_230 | spl52_232 | spl52_231 | spl52_227 | spl52_228 | ~spl52_28 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f7922,f1701,f691,f2819,f2813,f2832,f2836,f2826])). 14.34/2.47 tff(f2826,plain,( 14.34/2.47 spl52_230 <=> $less(length3(str_proj_11(sK8)),str_proj_21(sK8))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_230])])). 14.34/2.47 tff(f7922,plain,( 14.34/2.47 $less(sF20,0) | sF20 = length3(sF35) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7895,f693])). 14.34/2.47 tff(f7895,plain,( 14.34/2.47 sF20 = length3(string3(sK8)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(sF20,0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f488,f1703])). 14.34/2.47 tff(f7921,plain,( 14.34/2.47 spl52_229 | spl52_227 | spl52_230 | spl52_228 | ~spl52_28 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f7920,f1701,f691,f2819,f2826,f2813,f2823])). 14.34/2.47 tff(f2823,plain,( 14.34/2.47 spl52_229 <=> ! [X0 : $int] : (mixfix_lbrb1(sF35,X0) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) | $less(X0,0) | ~$less(X0,sF20))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_229])])). 14.34/2.47 tff(f7920,plain,( 14.34/2.47 ( ! [X0 : $int] : ($less(X0,0) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | mixfix_lbrb1(sF35,X0) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) | ~$less(X0,sF20)) ) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7899,f693])). 14.34/2.47 tff(f7899,plain,( 14.34/2.47 ( ! [X0 : $int] : (~$less(X0,sF20) | mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) = mixfix_lbrb1(string3(sK8),X0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(X0,0)) ) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f2021,f1703])). 14.34/2.47 tff(f7919,plain,( 14.34/2.47 spl52_426 | spl52_228 | spl52_227 | spl52_230 | spl52_232 | ~spl52_28 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f7918,f1701,f691,f2836,f2826,f2813,f2819,f6200])). 14.34/2.47 tff(f7918,plain,( 14.34/2.47 ( ! [X0 : string2] : (length3(app2(X0,sF35)) = $sum(length3(X0),sF20) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(sF20,0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8))) ) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7897,f693])). 14.34/2.47 tff(f7897,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(sF20,0) | $sum(length3(X0),sF20) = length3(app2(X0,string3(sK8))) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8))) ) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f1858,f1703])). 14.34/2.47 tff(f7916,plain,( 14.34/2.47 spl52_228 | spl52_227 | spl52_473 | spl52_230 | ~spl52_28 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f7912,f1701,f691,f2826,f7914,f2813,f2819])). 14.34/2.47 tff(f7914,plain,( 14.34/2.47 spl52_473 <=> ! [X0 : string2,X1 : $int] : (~$less(X1,sF20) | ~infix_eqeq1(sF35,X0) | $less(X1,0) | ~$less(X1,length3(sF35)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_473])])). 14.34/2.47 tff(f7912,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : ($less(str_proj_21(sK8),0) | ~$less(X1,sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,length3(sF35)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(X1,0) | ~infix_eqeq1(sF35,X0)) ) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7911,f693])). 14.34/2.47 tff(f7911,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : ($less(str_proj_21(sK8),0) | $less(X1,0) | ~$less(X1,length3(sF35)) | ~$less(X1,sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~infix_eqeq1(string3(sK8),X0)) ) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7901,f693])). 14.34/2.47 tff(f7901,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : ($less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~$less(X1,length3(string3(sK8))) | ~infix_eqeq1(string3(sK8),X0) | $less(X1,0) | ~$less(X1,sF20)) ) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f2056,f1703])). 14.34/2.47 tff(f7910,plain,( 14.34/2.47 spl52_425 | spl52_230 | spl52_232 | spl52_228 | spl52_227 | ~spl52_28 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f7909,f1701,f691,f2813,f2819,f2836,f2826,f6193])). 14.34/2.47 tff(f7909,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | length3(app2(sF35,X0)) = $sum(sF20,length3(X0)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(sF20,0) | $less(str_proj_21(sK8),0)) ) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7898,f693])). 14.34/2.47 tff(f7898,plain,( 14.34/2.47 ( ! [X0 : string2] : ($less(str_proj_21(sK8),0) | $less(sF20,0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $sum(sF20,length3(X0)) = length3(app2(string3(sK8),X0)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f1859,f1703])). 14.34/2.47 tff(f7907,plain,( 14.34/2.47 spl52_227 | spl52_472 | spl52_228 | spl52_230 | ~spl52_28 | ~spl52_148), 14.34/2.47 inference(avatar_split_clause,[],[f7903,f1701,f691,f2826,f2819,f7905,f2813])). 14.34/2.47 tff(f7905,plain,( 14.34/2.47 spl52_472 <=> ! [X0 : string2,X1 : $int] : (~infix_eqeq1(X0,sF35) | $less(X1,0) | ~$less(X1,sF20) | ~$less(X1,length3(X0)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)))), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_472])])). 14.34/2.47 tff(f7903,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : (~infix_eqeq1(X0,sF35) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~$less(X1,length3(X0)) | ~$less(X1,sF20) | $less(X1,0) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | (~spl52_28 | ~spl52_148)), 14.34/2.47 inference(forward_demodulation,[],[f7900,f693])). 14.34/2.47 tff(f7900,plain,( 14.34/2.47 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | ~$less(X1,length3(X0)) | $less(X1,0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~$less(X1,sF20) | ~infix_eqeq1(X0,string3(sK8)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1))) ) | ~spl52_148), 14.34/2.47 inference(superposition,[],[f2053,f1703])). 14.34/2.47 tff(f7884,plain,( 14.34/2.47 ~spl52_137 | ~spl52_101 | spl52_126), 14.34/2.47 inference(avatar_split_clause,[],[f7883,f1377,f1167,f1486])). 14.34/2.47 tff(f1486,plain,( 14.34/2.47 spl52_137 <=> sF33 = 3), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_137])])). 14.34/2.47 tff(f7883,plain,( 14.34/2.47 sF33 != 3 | (~spl52_101 | spl52_126)), 14.34/2.47 inference(superposition,[],[f1378,f1169])). 14.34/2.47 tff(f1378,plain,( 14.34/2.47 length5(rope,sF30) != 3 | spl52_126), 14.34/2.47 inference(avatar_component_clause,[],[f1377])). 14.34/2.47 tff(f7881,plain,( 14.34/2.47 ~spl52_133 | ~spl52_105 | spl52_121), 14.34/2.47 inference(avatar_split_clause,[],[f7880,f1327,f1198,f1451])). 14.34/2.47 tff(f1451,plain,( 14.34/2.47 spl52_133 <=> sF16 = 3), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_133])])). 14.34/2.47 tff(f1327,plain,( 14.34/2.47 spl52_121 <=> 3 = length5(rope,sF13)), 14.34/2.47 introduced(avatar_definition,[new_symbols(naming,[spl52_121])])). 14.34/2.47 tff(f7880,plain,( 14.34/2.47 sF16 != 3 | (~spl52_105 | spl52_121)), 14.34/2.47 inference(superposition,[],[f1328,f1200])). 14.34/2.47 tff(f1328,plain,( 14.34/2.47 3 != length5(rope,sF13) | spl52_121), 14.34/2.47 inference(avatar_component_clause,[],[f1327])). 14.34/2.48 tff(f7876,plain,( 14.34/2.48 spl52_286 | ~spl52_233), 14.34/2.48 inference(avatar_split_clause,[],[f7875,f2842,f3697])). 14.34/2.48 tff(f7875,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF20)) ) | ~spl52_233), 14.34/2.48 inference(resolution,[],[f2844,f128])). 14.34/2.48 tff(f7874,plain,( 14.34/2.48 spl52_408 | ~spl52_95), 14.34/2.48 inference(avatar_split_clause,[],[f7873,f1101,f5977])). 14.34/2.48 tff(f1101,plain,( 14.34/2.48 spl52_95 <=> $less(2,max3)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_95])])). 14.34/2.48 tff(f7873,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,max3) | ~$less(X0,2)) ) | ~spl52_95), 14.34/2.48 inference(resolution,[],[f1103,f128])). 14.34/2.48 tff(f1103,plain,( 14.34/2.48 $less(2,max3) | ~spl52_95), 14.34/2.48 inference(avatar_component_clause,[],[f1101])). 14.34/2.48 tff(f7868,plain,( 14.34/2.48 spl52_470 | ~spl52_1 | spl52_26 | ~spl52_125 | ~spl52_170), 14.34/2.48 inference(avatar_split_clause,[],[f7867,f1935,f1372,f681,f556,f7744])). 14.34/2.48 tff(f7744,plain,( 14.34/2.48 spl52_470 <=> ! [X0 : $int,X1 : $int] : ($less(X0,0) | ~$less(X0,X1) | $less(sK4,X1) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_470])])). 14.34/2.48 tff(f1935,plain,( 14.34/2.48 spl52_170 <=> sK4 = length5(rope,sF30)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_170])])). 14.34/2.48 tff(f7867,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(sK4,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | ~$less(X0,X1)) ) | (~spl52_1 | spl52_26 | ~spl52_125 | ~spl52_170)), 14.34/2.48 inference(forward_demodulation,[],[f7866,f1374])). 14.34/2.48 tff(f7866,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | ~$less(X0,X1) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(sK4,X1)) ) | (~spl52_1 | spl52_26 | ~spl52_170)), 14.34/2.48 inference(forward_demodulation,[],[f7072,f558])). 14.34/2.48 tff(f7072,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1)))) | $less(X0,0) | $less(sK4,X1)) ) | (spl52_26 | ~spl52_170)), 14.34/2.48 inference(subsumption_resolution,[],[f7056,f683])). 14.34/2.48 tff(f7056,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1)))) | $less(X0,0) | $less(sK4,X1) | $less(sK4,0) | ~$less(X0,X1)) ) | ~spl52_170), 14.34/2.48 inference(superposition,[],[f2160,f1937])). 14.34/2.48 tff(f1937,plain,( 14.34/2.48 sK4 = length5(rope,sF30) | ~spl52_170), 14.34/2.48 inference(avatar_component_clause,[],[f1935])). 14.34/2.48 tff(f7864,plain,( 14.34/2.48 ~spl52_442 | spl52_368 | ~spl52_415 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7161,f2009,f1322,f1198,f974,f806,f701,f681,f6025,f5172,f6462])). 14.34/2.48 tff(f7161,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f7160,f683])). 14.34/2.48 tff(f7160,plain,( 14.34/2.48 $less(sK4,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK4,1) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7159,f2011])). 14.34/2.48 tff(f7159,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(sF16,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK4,1) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7158,f2011])). 14.34/2.48 tff(f7158,plain,( 14.34/2.48 $less(sF16,1) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sF16,0) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7157,f1200])). 14.34/2.48 tff(f7157,plain,( 14.34/2.48 $less(length5(rope,sF13),1) | $less(sF16,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7156,f1200])). 14.34/2.48 tff(f7156,plain,( 14.34/2.48 $less(length5(rope,sF13),0) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7155,f1324])). 14.34/2.48 tff(f7155,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),1) | $less(length5(rope,sF13),0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7154,f1324])). 14.34/2.48 tff(f7154,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | $less(length5(rope,sF13),1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),0) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f7153,f976])). 14.34/2.48 tff(f7153,plain,( 14.34/2.48 $less(length5(rope,sF15),0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f7152,f976])). 14.34/2.48 tff(f7152,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))))) | ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),1) | $less(length5(rope,sF15),0) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f7151,f976])). 14.34/2.48 tff(f7151,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))))) | $less(length5(rope,sF15),0) | $less(length5(rope,sF13),1) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f7122,f976])). 14.34/2.48 tff(f7122,plain,( 14.34/2.48 $less(length5(rope,sF15),1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF15),0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))))) | (~spl52_30 | ~spl52_51)), 14.34/2.48 inference(superposition,[],[f2444,f703])). 14.34/2.48 tff(f2444,plain,( 14.34/2.48 ( ! [X1 : array_rope] : (~inv1(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(sK1(0,X1,1))))) | ~$less(length3(string_of_array1(X1,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),sF19))))) | $less(length5(rope,t2tb1(X1)),1) | $less(length5(rope,t2tb1(X1)),0)) ) | ~spl52_51), 14.34/2.48 inference(forward_demodulation,[],[f2414,f808])). 14.34/2.48 tff(f2414,plain,( 14.34/2.48 ( ! [X1 : array_rope] : (~inv1(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(sK1(0,X1,1))))) | $less(length5(rope,t2tb1(X1)),1) | $less(length5(rope,t2tb1(X1)),0) | ~$less(length3(string_of_array1(X1,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(0))))))) )), 14.34/2.48 inference(interpreted_simplification,[],[f2413])). 14.34/2.48 tff(f2413,plain,( 14.34/2.48 ( ! [X1 : array_rope] : (~inv1(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(sK1(0,X1,1))))) | $less(0,0) | $less(length5(rope,t2tb1(X1)),1) | ~$less(0,1) | ~$less(length3(string_of_array1(X1,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(0)))))) | $less(length5(rope,t2tb1(X1)),0) | $less(0,0)) )), 14.34/2.48 inference(instantiation,[],[f486])). 14.34/2.48 tff(f7863,plain,( 14.34/2.48 spl52_469 | ~spl52_1 | spl52_26 | ~spl52_170), 14.34/2.48 inference(avatar_split_clause,[],[f6255,f1935,f681,f556,f7717])). 14.34/2.48 tff(f7717,plain,( 14.34/2.48 spl52_469 <=> ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(X2,0) | $less(X1,X2) | $less(sK4,X0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_469])])). 14.34/2.48 tff(f6255,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK4,X0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(X0,X1) | $less(X1,X2) | $less(X2,0)) ) | (~spl52_1 | spl52_26 | ~spl52_170)), 14.34/2.48 inference(forward_demodulation,[],[f6254,f558])). 14.34/2.48 tff(f6254,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X2,0) | $less(X1,X2) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1))) | $less(sK4,X0)) ) | (spl52_26 | ~spl52_170)), 14.34/2.48 inference(subsumption_resolution,[],[f6234,f683])). 14.34/2.48 tff(f6234,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,X2) | $less(sK4,0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1))) | $less(X0,X1) | $less(X2,0) | $less(sK4,X0)) ) | ~spl52_170), 14.34/2.48 inference(superposition,[],[f1978,f1937])). 14.34/2.48 tff(f7858,plain,( 14.34/2.48 spl52_468 | spl52_471 | ~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7853,f2028,f1372,f1167,f854,f696,f561,f7855,f7714])). 14.34/2.48 tff(f696,plain,( 14.34/2.48 spl52_29 <=> string_of_array1(sF31,2,sF33) = sF34), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_29])])). 14.34/2.48 tff(f7853,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f7852,f127])). 14.34/2.48 tff(f7852,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(sK4,sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7851,f2030])). 14.34/2.48 tff(f7851,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(sF33,sK4) | ~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7850,f1374])). 14.34/2.48 tff(f7850,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | ~$less(X0,sK4) | $less(sF33,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7849,f2030])). 14.34/2.48 tff(f7849,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF33) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(sF33,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7848,f1169])). 14.34/2.48 tff(f7848,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF30)) | $less(sF33,sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7847,f1169])). 14.34/2.48 tff(f7847,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,sF30),sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,sF30))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7846,f856])). 14.34/2.48 tff(f7846,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(length5(rope,sF30),sK4) | ~$less(X0,length5(rope,sF30)) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7845,f856])). 14.34/2.48 tff(f7845,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),sK4) | $less(X0,0) | ~$less(X0,length5(rope,sF30)) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f7844,f563])). 14.34/2.48 tff(f7844,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(X0,0) | ~$less(X0,length5(rope,sF30)) | ~$less(2,sK4)) ) | (~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7843,f2030])). 14.34/2.48 tff(f7843,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(2,sF33) | ~$less(X0,length5(rope,sF30)) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(length5(rope,t2tb1(sF31)),sK4) | $less(X0,0)) ) | (~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7565,f856])). 14.34/2.48 tff(f7565,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF31))) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | $less(length5(rope,t2tb1(sF31)),sK4) | ~$less(2,sF33)) ) | (~spl52_29 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7564,f2030])). 14.34/2.48 tff(f7564,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,t2tb1(sF31)),sF33) | ~$less(2,sF33) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sK4,-1))))),string_of_array1(sF31,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,t2tb1(sF31)))) ) | (~spl52_29 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7533,f2030])). 14.34/2.48 tff(f7533,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sF33,-1))))),string_of_array1(sF31,2,$sum(sF33,-1)))) | $less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF31))) | ~$less(2,sF33) | $less(length5(rope,t2tb1(sF31)),sF33)) ) | ~spl52_29), 14.34/2.48 inference(evaluation,[],[f7522])). 14.34/2.48 tff(f7522,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),sF33) | ~$less(X0,length5(rope,t2tb1(sF31))) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(sF33,-1))))),string_of_array1(sF31,2,$sum(sF33,-1)))) | $less(2,0) | $less(X0,0) | ~$less(2,sF33)) ) | ~spl52_29), 14.34/2.48 inference(superposition,[],[f2157,f698])). 14.34/2.48 tff(f698,plain,( 14.34/2.48 string_of_array1(sF31,2,sF33) = sF34 | ~spl52_29), 14.34/2.48 inference(avatar_component_clause,[],[f696])). 14.34/2.48 tff(f7842,plain,( 14.34/2.48 ~spl52_415 | spl52_368 | ~spl52_442 | spl52_26 | ~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7841,f2009,f1322,f1198,f955,f806,f681,f6462,f5172,f6025])). 14.34/2.48 tff(f955,plain,( 14.34/2.48 spl52_75 <=> sF13 = t2tb1(sF14)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_75])])). 14.34/2.48 tff(f7841,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(sK4,1) | (spl52_26 | ~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f7840,f683])). 14.34/2.48 tff(f7840,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK4,1) | $less(sK4,0) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7127,f2011])). 14.34/2.48 tff(f7127,plain,( 14.34/2.48 $less(sK4,1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sF16,0) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7126,f2011])). 14.34/2.48 tff(f7126,plain,( 14.34/2.48 $less(sF16,1) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(sF16,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7125,f1200])). 14.34/2.48 tff(f7125,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),0) | $less(sF16,1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7124,f1324])). 14.34/2.48 tff(f7124,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | $less(length5(rope,sF13),0) | $less(sF16,1) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7123,f1200])). 14.34/2.48 tff(f7123,plain,( 14.34/2.48 $less(length5(rope,sF13),1) | $less(length5(rope,sF13),0) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | (~spl52_51 | ~spl52_75 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f7121,f1324])). 14.34/2.48 tff(f7121,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK1(0,sF14,1))))) | $less(length5(rope,sF13),1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | $less(length5(rope,sF13),0) | (~spl52_51 | ~spl52_75)), 14.34/2.48 inference(superposition,[],[f2444,f957])). 14.34/2.48 tff(f957,plain,( 14.34/2.48 sF13 = t2tb1(sF14) | ~spl52_75), 14.34/2.48 inference(avatar_component_clause,[],[f955])). 14.34/2.48 tff(f7832,plain,( 14.34/2.48 spl52_469 | ~spl52_1 | spl52_26 | ~spl52_101 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7831,f2028,f1167,f681,f556,f7717])). 14.34/2.48 tff(f7831,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X2) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(sK4,X0) | $less(X2,0)) ) | (~spl52_1 | spl52_26 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6249,f558])). 14.34/2.48 tff(f6249,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,X2) | $less(X0,X1) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1))) | $less(sK4,X0) | $less(X2,0)) ) | (spl52_26 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6248,f2030])). 14.34/2.48 tff(f6248,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sF33,X0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1))) | $less(X2,0) | $less(X1,X2) | $less(X0,X1)) ) | (spl52_26 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f6247,f683])). 14.34/2.48 tff(f6247,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,X2) | $less(sK4,0) | $less(X0,X1) | $less(X2,0) | $less(sF33,X0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1)))) ) | (~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6235,f2030])). 14.34/2.48 tff(f6235,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sF33,0) | $less(X2,0) | $less(X1,X2) | $less(X0,X1) | $less(sF33,X0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X2,X0),app2(string_of_array1(tb2t1(sF30),X1,X0),string_of_array1(tb2t1(sF30),X2,X1)))) ) | ~spl52_101), 14.34/2.48 inference(superposition,[],[f1978,f1169])). 14.34/2.48 tff(f7812,plain,( 14.34/2.48 spl52_393 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6613,f2009,f1322,f1198,f955,f5758])). 14.34/2.48 tff(f5758,plain,( 14.34/2.48 spl52_393 <=> ! [X3 : $int] : (infix_eqeq1(string_of_array1(sF14,X3,sK4),app2(string_of_array1(sF14,$sum(X3,1),sK4),string3(tb2t2(get(rope,int,sF12,t2tb(X3)))))) | $less(X3,0) | ~$less(X3,sK4))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_393])])). 14.34/2.48 tff(f6613,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | infix_eqeq1(string_of_array1(sF14,X0,sK4),app2(string_of_array1(sF14,$sum(X0,1),sK4),string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(X0,0)) ) | (~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6612,f2011])). 14.34/2.48 tff(f6612,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,sF16),app2(string_of_array1(sF14,$sum(X0,1),sF16),string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | ~$less(X0,sK4) | $less(X0,0)) ) | (~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6611,f2011])). 14.34/2.48 tff(f6611,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF16) | infix_eqeq1(string_of_array1(sF14,X0,sF16),app2(string_of_array1(sF14,$sum(X0,1),sF16),string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f6610,f1200])). 14.34/2.48 tff(f6610,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | ~$less(X0,sF16)) ) | (~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f6609,f1324])). 14.34/2.48 tff(f6609,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X0)))))) | ~$less(X0,sF16) | $less(X0,0)) ) | (~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f6599,f1200])). 14.34/2.48 tff(f6599,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF13)) | $less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X0))))))) ) | ~spl52_75), 14.34/2.48 inference(superposition,[],[f2061,f957])). 14.34/2.48 tff(f2061,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : (~$less(X1,length5(rope,t2tb1(X0))) | infix_eqeq1(string_of_array1(X0,X1,length5(rope,t2tb1(X0))),app2(string_of_array1(X0,$sum(X1,1),length5(rope,t2tb1(X0))),string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X1)))))) | $less(X1,0)) )), 14.34/2.48 inference(resolution,[],[f499,f127])). 14.34/2.48 tff(f499,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | infix_eqeq1(string_of_array1(X0,X2,X1),app2(string_of_array1(X0,$sum(X2,1),X1),string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(X2)))))) | ~$less(X2,X1) | $less(X2,0)) )), 14.34/2.48 inference(definition_unfolding,[],[f478,f466])). 14.34/2.48 tff(f478,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : array_rope,X1 : $int] : (infix_eqeq1(string_of_array1(X0,X2,X1),app2(string_of_array1(X0,$sum(X2,1),X1),string3(tb2t2(get2(rope,t2tb1(X0),X2))))) | ~$less(X2,X1) | $less(X2,0) | $less(length5(rope,t2tb1(X0)),X1)) )), 14.34/2.48 inference(cnf_transformation,[],[f344])). 14.34/2.48 tff(f344,plain,( 14.34/2.48 ! [X0 : array_rope,X1 : $int,X2 : $int] : (infix_eqeq1(string_of_array1(X0,X2,X1),app2(string_of_array1(X0,$sum(X2,1),X1),string3(tb2t2(get2(rope,t2tb1(X0),X2))))) | ~$less(X2,X1) | $less(X2,0) | $less(length5(rope,t2tb1(X0)),X1))), 14.34/2.48 inference(rectify,[],[f239])). 14.34/2.48 tff(f239,plain,( 14.34/2.48 ! [X1 : array_rope,X0 : $int,X2 : $int] : (infix_eqeq1(string_of_array1(X1,X2,X0),app2(string_of_array1(X1,$sum(X2,1),X0),string3(tb2t2(get2(rope,t2tb1(X1),X2))))) | ~$less(X2,X0) | $less(X2,0) | $less(length5(rope,t2tb1(X1)),X0))), 14.34/2.48 inference(flattening,[],[f238])). 14.34/2.48 tff(f238,plain,( 14.34/2.48 ! [X0 : $int,X2 : $int,X1 : array_rope] : (infix_eqeq1(string_of_array1(X1,X2,X0),app2(string_of_array1(X1,$sum(X2,1),X0),string3(tb2t2(get2(rope,t2tb1(X1),X2))))) | ($less(length5(rope,t2tb1(X1)),X0) | $less(X2,0) | ~$less(X2,X0)))), 14.34/2.48 inference(ennf_transformation,[],[f160])). 14.34/2.48 tff(f160,plain,( 14.34/2.48 ! [X0 : $int,X2 : $int,X1 : array_rope] : ((~$less(length5(rope,t2tb1(X1)),X0) & ~$less(X2,0) & $less(X2,X0)) => infix_eqeq1(string_of_array1(X1,X2,X0),app2(string_of_array1(X1,$sum(X2,1),X0),string3(tb2t2(get2(rope,t2tb1(X1),X2))))))), 14.34/2.48 inference(rectify,[],[f99])). 14.34/2.48 tff(f99,plain,( 14.34/2.48 ! [X0 : $int,X3 : array_rope,X25 : $int] : ((~$less(X25,0) & $less(X25,X0) & ~$less(length5(rope,t2tb1(X3)),X0)) => infix_eqeq1(string_of_array1(X3,X25,X0),app2(string_of_array1(X3,$sum(X25,1),X0),string3(tb2t2(get2(rope,t2tb1(X3),X25))))))), 14.34/2.48 inference(theory_normalization,[],[f24])). 14.34/2.48 tff(f24,axiom,( 14.34/2.48 ! [X0 : $int,X3 : array_rope,X25 : $int] : (($lesseq(0,X25) & $less(X25,X0) & $lesseq(X0,length5(rope,t2tb1(X3)))) => infix_eqeq1(string_of_array1(X3,X25,X0),app2(string_of_array1(X3,$sum(X25,1),X0),string3(tb2t2(get2(rope,t2tb1(X3),X25))))))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f7811,plain,( 14.34/2.48 spl52_470 | ~spl52_1 | spl52_26 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7080,f2028,f1372,f1167,f681,f556,f7744])). 14.34/2.48 tff(f7080,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | ~$less(X0,X1) | $less(sK4,X1) | $less(X0,0)) ) | (~spl52_1 | spl52_26 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7079,f2030])). 14.34/2.48 tff(f7079,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | $less(sF33,X1) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | ~$less(X0,X1)) ) | (~spl52_1 | spl52_26 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7078,f1374])). 14.34/2.48 tff(f7078,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(sF33,X1)) ) | (~spl52_1 | spl52_26 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7077,f558])). 14.34/2.48 tff(f7077,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1)))) | $less(sF33,X1) | ~$less(X0,X1)) ) | (spl52_26 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f7076,f683])). 14.34/2.48 tff(f7076,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1)))) | $less(X0,0) | $less(sK4,0) | $less(sF33,X1)) ) | (~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7057,f2030])). 14.34/2.48 tff(f7057,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(sF33,0) | $less(sF33,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(tb2t1(sF30),X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(tb2t1(sF30),X0,$sum(X1,-1))))) ) | ~spl52_101), 14.34/2.48 inference(superposition,[],[f2160,f1169])). 14.34/2.48 tff(f7808,plain,( 14.34/2.48 spl52_468 | spl52_389 | ~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174), 14.34/2.48 inference(avatar_split_clause,[],[f7807,f2017,f2009,f1322,f1198,f974,f701,f561,f5619,f7714])). 14.34/2.48 tff(f5619,plain,( 14.34/2.48 spl52_389 <=> infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_389])])). 14.34/2.48 tff(f2017,plain,( 14.34/2.48 spl52_174 <=> sF17 = string_of_array1(sF14,2,sK4)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_174])])). 14.34/2.48 tff(f7807,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7806,f1324])). 14.34/2.48 tff(f7806,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7805,f976])). 14.34/2.48 tff(f7805,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(subsumption_resolution,[],[f7804,f127])). 14.34/2.48 tff(f7804,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(sK4,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7803,f2011])). 14.34/2.48 tff(f7803,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(sF16,sK4) | ~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7802,f703])). 14.34/2.48 tff(f7802,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(sF16,sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7801,f2011])). 14.34/2.48 tff(f7801,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF16) | $less(sF16,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7800,f1200])). 14.34/2.48 tff(f7800,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,sF13),sK4) | ~$less(X0,sF16) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7799,f976])). 14.34/2.48 tff(f7799,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,sF15),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,sF16)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7798,f1200])). 14.34/2.48 tff(f7798,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF13)) | $less(X0,0) | $less(length5(rope,sF15),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7797,f976])). 14.34/2.48 tff(f7797,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF15)) | $less(length5(rope,sF15),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7796,f703])). 14.34/2.48 tff(f7796,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF14))) | $less(length5(rope,sF15),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7602,f703])). 14.34/2.48 tff(f7602,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),sK4) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_2 | ~spl52_174)), 14.34/2.48 inference(subsumption_resolution,[],[f7531,f563])). 14.34/2.48 tff(f7531,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(2,sK4) | ~$less(X0,length5(rope,t2tb1(sF14))) | $less(X0,0) | $less(length5(rope,t2tb1(sF14)),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | ~spl52_174), 14.34/2.48 inference(evaluation,[],[f7524])). 14.34/2.48 tff(f7524,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF14))) | $less(X0,0) | $less(2,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(2,sK4) | $less(length5(rope,t2tb1(sF14)),sK4)) ) | ~spl52_174), 14.34/2.48 inference(superposition,[],[f2157,f2019])). 14.34/2.48 tff(f2019,plain,( 14.34/2.48 sF17 = string_of_array1(sF14,2,sK4) | ~spl52_174), 14.34/2.48 inference(avatar_component_clause,[],[f2017])). 14.34/2.48 tff(f7788,plain,( 14.34/2.48 spl52_393 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7787,f2009,f1322,f1198,f974,f701,f5758])). 14.34/2.48 tff(f7787,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),app2(string_of_array1(sF14,$sum(X0,1),sK4),string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7786,f2011])). 14.34/2.48 tff(f7786,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sK4) | infix_eqeq1(string_of_array1(sF14,X0,sF16),app2(string_of_array1(sF14,$sum(X0,1),sF16),string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6621,f1200])). 14.34/2.48 tff(f6621,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(X0,0) | ~$less(X0,sK4)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6620,f2011])). 14.34/2.48 tff(f6620,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF16) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f6619,f1200])). 14.34/2.48 tff(f6619,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF13)) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (~spl52_30 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f6618,f1324])). 14.34/2.48 tff(f6618,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X0)))))) | ~$less(X0,length5(rope,sF13))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f6617,f976])). 14.34/2.48 tff(f6617,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF15)) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF13)),string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X0))))))) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f6600,f976])). 14.34/2.48 tff(f6600,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF15)),app2(string_of_array1(sF14,$sum(X0,1),length5(rope,sF15)),string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(X0)))))) | ~$less(X0,length5(rope,sF15))) ) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f2061,f703])). 14.34/2.48 tff(f7785,plain,( 14.34/2.48 spl52_147 | spl52_233 | ~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_149), 14.34/2.48 inference(avatar_split_clause,[],[f7784,f1705,f831,f766,f611,f2842,f1697])). 14.34/2.48 tff(f1697,plain,( 14.34/2.48 spl52_147 <=> sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_147])])). 14.34/2.48 tff(f611,plain,( 14.34/2.48 spl52_12 <=> app_proj_31(sK8) = sF22), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_12])])). 14.34/2.48 tff(f7784,plain,( 14.34/2.48 $less(0,sF20) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | (~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f7783,f613])). 14.34/2.48 tff(f613,plain,( 14.34/2.48 app_proj_31(sK8) = sF22 | ~spl52_12), 14.34/2.48 inference(avatar_component_clause,[],[f611])). 14.34/2.48 tff(f7783,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | $less(0,sF20) | (~spl52_43 | ~spl52_56 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f7782,f768])). 14.34/2.48 tff(f7782,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | ~inv1(sK8) | $less(0,sF20) | (~spl52_56 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f4624,f1706])). 14.34/2.48 tff(f4624,plain,( 14.34/2.48 emp1 = sK8 | ~inv1(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | $less(0,sF20) | ~spl52_56), 14.34/2.48 inference(superposition,[],[f1660,f833])). 14.34/2.48 tff(f7767,plain,( 14.34/2.48 spl52_395 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7766,f2009,f1322,f1198,f955,f5765])). 14.34/2.48 tff(f7766,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : ($less(X1,0) | $less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X1),t2tb2(X2)))),X0,sK4)) | ~$less(X1,X0)) ) | (~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7765,f2011])). 14.34/2.48 tff(f7765,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (~$less(X1,X0) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X1),t2tb2(X2)))),X0,sK4)) | $less(sF16,X0)) ) | (~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7350,f1324])). 14.34/2.48 tff(f7350,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sK4)) | ~$less(X1,X0) | $less(sF16,X0) | $less(X1,0)) ) | (~spl52_75 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7349,f1200])). 14.34/2.48 tff(f7349,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : ($less(X1,0) | $less(length5(rope,sF13),X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sK4)) | ~$less(X1,X0)) ) | (~spl52_75 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7348,f2011])). 14.34/2.48 tff(f7348,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,sF16),string_of_array1(tb2t1(mk_array1(rope,sF16,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sF16)) | $less(length5(rope,sF13),X0) | $less(X1,0) | ~$less(X1,X0)) ) | (~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f7329,f1200])). 14.34/2.48 tff(f7329,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,length5(rope,sF13))) | ~$less(X1,X0) | $less(length5(rope,sF13),X0) | $less(X1,0)) ) | ~spl52_75), 14.34/2.48 inference(superposition,[],[f2190,f957])). 14.34/2.48 tff(f2190,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | $less(X2,0) | infix_eqeq1(string_of_array1(X0,X1,length5(rope,t2tb1(X0))),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X0)),set(rope,int,elts(rope,t2tb1(X0)),t2tb(X2),t2tb2(X3)))),X1,length5(rope,t2tb1(X0)))) | ~$less(X2,X1)) )), 14.34/2.48 inference(resolution,[],[f2187,f127])). 14.34/2.48 tff(f7750,plain,( 14.34/2.48 spl52_395 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7749,f2009,f1322,f1198,f974,f701,f5765])). 14.34/2.48 tff(f7749,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X1),t2tb2(X2)))),X0,sK4)) | $less(X1,0) | $less(sK4,X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7748,f1324])). 14.34/2.48 tff(f7748,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sK4)) | $less(sK4,X0) | ~$less(X1,X0) | $less(X1,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7747,f2011])). 14.34/2.48 tff(f7747,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : ($less(X1,0) | $less(sF16,X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sK4)) | ~$less(X1,X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7334,f1200])). 14.34/2.48 tff(f7334,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : ($less(X1,0) | $less(length5(rope,sF13),X0) | ~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sK4))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7333,f976])). 14.34/2.48 tff(f7333,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (~$less(X1,X0) | $less(length5(rope,sF15),X0) | infix_eqeq1(string_of_array1(sF14,X0,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sK4)) | $less(X1,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7332,f2011])). 14.34/2.48 tff(f7332,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (~$less(X1,X0) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X0,sF16),string_of_array1(tb2t1(mk_array1(rope,sF16,set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,sF16)) | $less(length5(rope,sF15),X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f7331,f1200])). 14.34/2.48 tff(f7331,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF13)),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X1),t2tb2(X2)))),X0,length5(rope,sF13))) | ~$less(X1,X0) | $less(X1,0) | $less(length5(rope,sF15),X0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f7330,f976])). 14.34/2.48 tff(f7330,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : $int] : (~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X0,length5(rope,sF15)),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF15),set(rope,int,elts(rope,sF15),t2tb(X1),t2tb2(X2)))),X0,length5(rope,sF15))) | $less(length5(rope,sF15),X0) | $less(X1,0)) ) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f2190,f703])). 14.34/2.48 tff(f7746,plain,( 14.34/2.48 spl52_468 | spl52_470 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7592,f2028,f1372,f1167,f854,f7744,f7714])). 14.34/2.48 tff(f7592,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(sK4,X1) | ~$less(X0,X1) | ~$less(X2,sK4) | $less(X2,0)) ) | (~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7591,f2030])). 14.34/2.48 tff(f7591,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,sF33) | $less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(sK4,X1) | ~$less(X0,X1) | $less(X2,0)) ) | (~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7590,f2030])). 14.34/2.48 tff(f7590,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(X2,0) | $less(sF33,X1) | ~$less(X2,sF33) | ~$less(X0,X1)) ) | (~spl52_60 | ~spl52_101 | ~spl52_125)), 14.34/2.48 inference(forward_demodulation,[],[f7589,f1374])). 14.34/2.48 tff(f7589,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | ~$less(X0,X1) | ~$less(X2,sF33) | $less(sF33,X1) | $less(X0,0) | $less(X2,0)) ) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f7588,f1169])). 14.34/2.48 tff(f7588,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,length5(rope,sF30)) | $less(X2,0) | $less(sF33,X1) | ~$less(X0,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1))))) ) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f7527,f1169])). 14.34/2.48 tff(f7527,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF30),X1) | ~$less(X2,length5(rope,sF30)) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(X2,0) | $less(X0,0) | ~$less(X0,X1)) ) | ~spl52_60), 14.34/2.48 inference(superposition,[],[f2157,f856])). 14.34/2.48 tff(f7740,plain,( 14.34/2.48 ~spl52_460 | spl52_368 | ~spl52_459 | spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7739,f2028,f1372,f1167,f854,f806,f681,f7143,f5172,f7147])). 14.34/2.48 tff(f7147,plain,( 14.34/2.48 spl52_460 <=> inv1(tb2t2(get(rope,int,sF29,t2tb(sK1(0,sF31,1)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_460])])). 14.34/2.48 tff(f7143,plain,( 14.34/2.48 spl52_459 <=> $less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_459])])). 14.34/2.48 tff(f7739,plain,( 14.34/2.48 $less(sK4,1) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | ~inv1(tb2t2(get(rope,int,sF29,t2tb(sK1(0,sF31,1))))) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7138,f1374])). 14.34/2.48 tff(f7138,plain,( 14.34/2.48 $less(sK4,1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7137,f2030])). 14.34/2.48 tff(f7137,plain,( 14.34/2.48 $less(sF33,1) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f7136,f683])). 14.34/2.48 tff(f7136,plain,( 14.34/2.48 $less(sF33,1) | $less(sK4,0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7135,f2030])). 14.34/2.48 tff(f7135,plain,( 14.34/2.48 $less(sF33,0) | $less(sF33,1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125)), 14.34/2.48 inference(forward_demodulation,[],[f7134,f1169])). 14.34/2.48 tff(f7134,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | $less(length5(rope,sF30),1) | $less(sF33,0) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125)), 14.34/2.48 inference(forward_demodulation,[],[f7133,f1374])). 14.34/2.48 tff(f7133,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))))) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | $less(length5(rope,sF30),1) | $less(sF33,0) | (~spl52_51 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f7120,f1169])). 14.34/2.48 tff(f7120,plain,( 14.34/2.48 $less(length5(rope,sF30),0) | $less(length5(rope,sF30),1) | ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))))) | (~spl52_51 | ~spl52_60)), 14.34/2.48 inference(superposition,[],[f2444,f856])). 14.34/2.48 tff(f7738,plain,( 14.34/2.48 spl52_389 | spl52_468 | ~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7737,f2009,f1322,f1198,f974,f761,f701,f561,f7714,f5619])). 14.34/2.48 tff(f761,plain,( 14.34/2.48 spl52_42 <=> string_of_array1(sF14,2,sF16) = sF17), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_42])])). 14.34/2.48 tff(f7737,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f7736,f127])). 14.34/2.48 tff(f7736,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0) | ~$less(X0,sK4) | $less(sK4,sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7735,f2011])). 14.34/2.48 tff(f7735,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(sF16,sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7734,f1200])). 14.34/2.48 tff(f7734,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,sF13),sK4) | ~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7733,f976])). 14.34/2.48 tff(f7733,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0) | $less(length5(rope,sF15),sK4) | ~$less(X0,sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7732,f2011])). 14.34/2.48 tff(f7732,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF16) | $less(length5(rope,sF15),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7731,f1200])). 14.34/2.48 tff(f7731,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,sF13)) | $less(length5(rope,sF15),sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7730,f703])). 14.34/2.48 tff(f7730,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),sK4) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,sF13))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7729,f976])). 14.34/2.48 tff(f7729,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF15)) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(length5(rope,t2tb1(sF14)),sK4)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7728,f703])). 14.34/2.48 tff(f7728,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF14))) | $less(length5(rope,t2tb1(sF14)),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7727,f1324])). 14.34/2.48 tff(f7727,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0) | $less(length5(rope,t2tb1(sF14)),sK4) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f7726,f563])). 14.34/2.48 tff(f7726,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF14))) | ~$less(2,sK4)) ) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7725,f2011])). 14.34/2.48 tff(f7725,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(2,sF16) | $less(X0,0) | $less(length5(rope,t2tb1(sF14)),sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7724,f976])). 14.34/2.48 tff(f7724,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(2,sF16) | $less(length5(rope,t2tb1(sF14)),sK4) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_30 | ~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7538,f703])). 14.34/2.48 tff(f7538,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(2,sF16) | $less(length5(rope,t2tb1(sF14)),sK4) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7537,f2011])). 14.34/2.48 tff(f7537,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | ~$less(2,sF16) | $less(length5(rope,t2tb1(sF14)),sK4) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7536,f2011])). 14.34/2.48 tff(f7536,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),sF16) | $less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF14))) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | ~$less(2,sF16)) ) | ~spl52_42), 14.34/2.48 inference(evaluation,[],[f7523])). 14.34/2.48 tff(f7523,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(2,sF16) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | $less(X0,0) | $less(length5(rope,t2tb1(sF14)),sF16) | $less(2,0) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | ~spl52_42), 14.34/2.48 inference(superposition,[],[f2157,f763])). 14.34/2.48 tff(f763,plain,( 14.34/2.48 string_of_array1(sF14,2,sF16) = sF17 | ~spl52_42), 14.34/2.48 inference(avatar_component_clause,[],[f761])). 14.34/2.48 tff(f7719,plain,( 14.34/2.48 spl52_468 | spl52_469 | ~spl52_60 | ~spl52_101 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7712,f2028,f1167,f854,f7717,f7714])). 14.34/2.48 tff(f7712,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(sK4,X0) | $less(X1,X2) | $less(X3,0) | $less(X2,0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | ~$less(X3,sK4)) ) | (~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6489,f2030])). 14.34/2.48 tff(f6489,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X3,0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(X2,0) | $less(X0,X1) | $less(sK4,X0) | ~$less(X3,sF33) | $less(X1,X2)) ) | (~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6488,f2030])). 14.34/2.48 tff(f6488,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X2,0) | $less(sF33,X0) | ~$less(X3,sF33) | $less(X3,0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(X0,X1) | $less(X1,X2)) ) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f6487,f1169])). 14.34/2.48 tff(f6487,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X3,0) | $less(X2,0) | ~$less(X3,length5(rope,sF30)) | $less(X0,X1) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(sF33,X0) | $less(X1,X2)) ) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f6484,f1169])). 14.34/2.48 tff(f6484,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF30),X0) | $less(X1,X2) | $less(X0,X1) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | ~$less(X3,length5(rope,sF30)) | $less(X3,0) | $less(X2,0)) ) | ~spl52_60), 14.34/2.48 inference(superposition,[],[f1973,f856])). 14.34/2.48 tff(f1973,plain,( 14.34/2.48 ( ! [X2 : array_rope,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : ($less(length5(rope,t2tb1(X2)),X3) | $less(X3,X0) | $less(X1,0) | ~$less(X4,length5(rope,t2tb1(X2))) | $less(X4,0) | $less(X0,X1) | infix_eqeq1(string_of_array1(X2,X1,X3),app2(string_of_array1(X2,X0,X3),string_of_array1(X2,X1,X0)))) )), 14.34/2.48 inference(resolution,[],[f461,f128])). 14.34/2.48 tff(f7705,plain,( 14.34/2.48 ~spl52_427 | ~spl52_466), 14.34/2.48 inference(avatar_contradiction_clause,[],[f7704])). 14.34/2.48 tff(f7704,plain,( 14.34/2.48 $false | (~spl52_427 | ~spl52_466)), 14.34/2.48 inference(evaluation,[],[f7700])). 14.34/2.48 tff(f7700,plain,( 14.34/2.48 $less(3,0) | (~spl52_427 | ~spl52_466)), 14.34/2.48 inference(superposition,[],[f6207,f7693])). 14.34/2.48 tff(f7693,plain,( 14.34/2.48 0 = sF26 | ~spl52_466), 14.34/2.48 inference(avatar_component_clause,[],[f7691])). 14.34/2.48 tff(f7691,plain,( 14.34/2.48 spl52_466 <=> 0 = sF26), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_466])])). 14.34/2.48 tff(f6207,plain,( 14.34/2.48 $less(3,sF26) | ~spl52_427), 14.34/2.48 inference(avatar_component_clause,[],[f6205])). 14.34/2.48 tff(f6205,plain,( 14.34/2.48 spl52_427 <=> $less(3,sF26)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_427])])). 14.34/2.48 tff(f7698,plain,( 14.34/2.48 spl52_466 | spl52_467 | spl52_461), 14.34/2.48 inference(avatar_split_clause,[],[f7684,f7509,f7696,f7691])). 14.34/2.48 tff(f7509,plain,( 14.34/2.48 spl52_461 <=> $less(sF26,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_461])])). 14.34/2.48 tff(f7684,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = sF26 | ~$less(X0,0) | $less(X0,sF26)) ) | spl52_461), 14.34/2.48 inference(resolution,[],[f7511,f1052])). 14.34/2.48 tff(f7511,plain,( 14.34/2.48 ~$less(sF26,0) | spl52_461), 14.34/2.48 inference(avatar_component_clause,[],[f7509])). 14.34/2.48 tff(f7694,plain,( 14.34/2.48 spl52_465 | spl52_466 | spl52_461), 14.34/2.48 inference(avatar_split_clause,[],[f7685,f7509,f7691,f7687])). 14.34/2.48 tff(f7685,plain,( 14.34/2.48 0 = sF26 | $less(0,sF26) | spl52_461), 14.34/2.48 inference(resolution,[],[f7511,f129])). 14.34/2.48 tff(f7620,plain,( 14.34/2.48 spl52_462 | spl52_443 | ~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174), 14.34/2.48 inference(avatar_split_clause,[],[f7619,f2017,f2009,f1322,f1198,f1181,f974,f701,f561,f6494,f7559])). 14.34/2.48 tff(f7619,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7618,f1324])). 14.34/2.48 tff(f7618,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7617,f976])). 14.34/2.48 tff(f7617,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(evaluation,[],[f7616])). 14.34/2.48 tff(f7616,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(3,3) | ~$less(X0,3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7615,f1183])). 14.34/2.48 tff(f7615,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | $less(X0,0) | $less(sK4,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7614,f2011])). 14.34/2.48 tff(f7614,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(sF16,3) | ~$less(X0,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7613,f1200])). 14.34/2.48 tff(f7613,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,3) | $less(length5(rope,sF13),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7612,f703])). 14.34/2.48 tff(f7612,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF13),3) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7611,f976])). 14.34/2.48 tff(f7611,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,sF15),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(evaluation,[],[f7610])). 14.34/2.48 tff(f7610,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(3,-1))))),string_of_array1(sF14,2,$sum(3,-1)))) | $less(length5(rope,sF15),3) | $less(X0,0) | ~$less(X0,3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7609,f1183])). 14.34/2.48 tff(f7609,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0) | $less(length5(rope,sF15),3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7608,f1183])). 14.34/2.48 tff(f7608,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(length5(rope,sF15),3) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7607,f2011])). 14.34/2.48 tff(f7607,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF16) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(length5(rope,sF15),3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7606,f1200])). 14.34/2.48 tff(f7606,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,sF13)) | $less(X0,0) | $less(length5(rope,sF15),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7605,f703])). 14.34/2.48 tff(f7605,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),3) | ~$less(X0,length5(rope,sF13)) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7604,f976])). 14.34/2.48 tff(f7604,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF15)) | $less(length5(rope,t2tb1(sF14)),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1))))) ) | (~spl52_2 | ~spl52_30 | ~spl52_103 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7603,f703])). 14.34/2.48 tff(f7603,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF14))) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(length5(rope,t2tb1(sF14)),3) | $less(X0,0)) ) | (~spl52_2 | ~spl52_103 | ~spl52_174)), 14.34/2.48 inference(forward_demodulation,[],[f7602,f1183])). 14.34/2.48 tff(f7598,plain,( 14.34/2.48 spl52_443 | spl52_464 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7594,f2028,f1372,f1181,f1167,f854,f7596,f6494])). 14.34/2.48 tff(f7594,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(X2,0) | ~$less(X2,3) | $less(3,X1) | $less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1))))) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7593,f1183])). 14.34/2.48 tff(f7593,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF31,X0,X1),app2(string3(tb2t2(get(rope,int,sF29,t2tb($sum(X1,-1))))),string_of_array1(sF31,X0,$sum(X1,-1)))) | $less(3,X1) | ~$less(X0,X1) | $less(X2,0) | ~$less(X2,sK4)) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7592,f1183])). 14.34/2.48 tff(f7586,plain,( 14.34/2.48 spl52_463 | spl52_443 | ~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7581,f2028,f1372,f1181,f1167,f854,f696,f561,f6494,f7583])). 14.34/2.48 tff(f7581,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,sF29,t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7580,f1374])). 14.34/2.48 tff(f7580,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,sF30),t2tb(2)))),string_of_array1(sF31,2,2))) | ~$less(X0,3)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7579,f856])). 14.34/2.48 tff(f7579,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(evaluation,[],[f7578])). 14.34/2.48 tff(f7578,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2))) | $less(3,3) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7577,f1183])). 14.34/2.48 tff(f7577,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,3) | $less(sK4,3) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7576,f1183])). 14.34/2.48 tff(f7576,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(sK4,3) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7575,f2030])). 14.34/2.48 tff(f7575,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(sF33,3) | ~$less(X0,sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7574,f2030])). 14.34/2.48 tff(f7574,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF33) | $less(sF33,3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2))) | $less(X0,0)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7573,f1169])). 14.34/2.48 tff(f7573,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,sF30),3) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2))) | ~$less(X0,sF33)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7572,f856])). 14.34/2.48 tff(f7572,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(length5(rope,t2tb1(sF31)),3) | ~$less(X0,sF33) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7571,f1183])). 14.34/2.48 tff(f7571,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2))) | ~$less(X0,sF33)) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7570,f1169])). 14.34/2.48 tff(f7570,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF30)) | $less(length5(rope,t2tb1(sF31)),sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_2 | ~spl52_29 | ~spl52_60 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f7569,f563])). 14.34/2.48 tff(f7569,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF31)),sK4) | ~$less(X0,length5(rope,sF30)) | ~$less(2,sK4) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_29 | ~spl52_60 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7568,f2030])). 14.34/2.48 tff(f7568,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(2,sF33) | $less(length5(rope,t2tb1(sF31)),sK4) | ~$less(X0,length5(rope,sF30)) | $less(X0,0) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_29 | ~spl52_60 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7567,f856])). 14.34/2.48 tff(f7567,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length5(rope,t2tb1(sF31))) | $less(X0,0) | ~$less(2,sF33) | $less(length5(rope,t2tb1(sF31)),sK4) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(2)))),string_of_array1(sF31,2,2)))) ) | (~spl52_29 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(evaluation,[],[f7566])). 14.34/2.48 tff(f7566,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF31))) | infix_eqeq1(sF34,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb($sum(3,-1))))),string_of_array1(sF31,2,$sum(3,-1)))) | $less(length5(rope,t2tb1(sF31)),sK4) | ~$less(2,sF33)) ) | (~spl52_29 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7565,f1183])). 14.34/2.48 tff(f7562,plain,( 14.34/2.48 spl52_462 | spl52_443 | ~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7557,f2009,f1322,f1198,f1181,f974,f761,f701,f561,f6494,f7559])). 14.34/2.48 tff(f7557,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7556,f1183])). 14.34/2.48 tff(f7556,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sK4) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f7555])). 14.34/2.48 tff(f7555,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | $less(3,3) | ~$less(X0,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7554,f1183])). 14.34/2.48 tff(f7554,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(sK4,3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7553,f2011])). 14.34/2.48 tff(f7553,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(sF16,3) | ~$less(X0,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2)))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7552,f1200])). 14.34/2.48 tff(f7552,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF13),3) | ~$less(X0,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7551,f976])). 14.34/2.48 tff(f7551,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,sF15),3) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,sK4) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7550,f2011])). 14.34/2.48 tff(f7550,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb(2)))),string_of_array1(sF14,2,2))) | $less(X0,0) | ~$less(X0,sF16) | $less(length5(rope,sF15),3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7549,f1324])). 14.34/2.48 tff(f7549,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF15),3) | ~$less(X0,sF16) | $less(X0,0)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7548,f1200])). 14.34/2.48 tff(f7548,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF13)) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF15),3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7547,f976])). 14.34/2.48 tff(f7547,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,sF15)) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF15),3)) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7546,f976])). 14.34/2.48 tff(f7546,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(X0,0) | $less(length5(rope,sF15),3) | ~$less(X0,length5(rope,sF15))) ) | (~spl52_2 | ~spl52_30 | ~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f7545,f563])). 14.34/2.48 tff(f7545,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(2,sK4) | $less(length5(rope,sF15),3) | $less(X0,0) | ~$less(X0,length5(rope,sF15))) ) | (~spl52_30 | ~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7544,f2011])). 14.34/2.48 tff(f7544,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(2,sF16) | $less(X0,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,length5(rope,sF15)) | $less(length5(rope,sF15),3)) ) | (~spl52_30 | ~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7543,f703])). 14.34/2.48 tff(f7543,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,sF15),3) | ~$less(X0,length5(rope,sF15)) | $less(X0,0) | ~$less(2,sF16)) ) | (~spl52_30 | ~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7542,f703])). 14.34/2.48 tff(f7542,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length5(rope,t2tb1(sF14)),3) | $less(X0,0) | ~$less(2,sF16) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | ~$less(X0,length5(rope,sF15))) ) | (~spl52_30 | ~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7541,f703])). 14.34/2.48 tff(f7541,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,length5(rope,t2tb1(sF14))) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(2)))),string_of_array1(sF14,2,2))) | $less(length5(rope,t2tb1(sF14)),3) | ~$less(2,sF16)) ) | (~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f7540])). 14.34/2.48 tff(f7540,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(3,-1))))),string_of_array1(sF14,2,$sum(3,-1)))) | ~$less(X0,length5(rope,t2tb1(sF14))) | ~$less(2,sF16) | $less(length5(rope,t2tb1(sF14)),3) | $less(X0,0)) ) | (~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7539,f1183])). 14.34/2.48 tff(f7539,plain,( 14.34/2.48 ( ! [X0 : $int] : (infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(X0,0) | $less(length5(rope,t2tb1(sF14)),3) | ~$less(2,sF16) | ~$less(X0,length5(rope,t2tb1(sF14)))) ) | (~spl52_42 | ~spl52_103 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7538,f1183])). 14.34/2.48 tff(f7512,plain,( 14.34/2.48 ~spl52_461 | ~spl52_430 | spl52_435), 14.34/2.48 inference(avatar_split_clause,[],[f7507,f6393,f6326,f7509])). 14.34/2.48 tff(f7507,plain,( 14.34/2.48 ~$less(sF26,0) | (~spl52_430 | spl52_435)), 14.34/2.48 inference(superposition,[],[f6395,f6328])). 14.34/2.48 tff(f7298,plain,( 14.34/2.48 spl52_356 | ~spl52_355), 14.34/2.48 inference(avatar_split_clause,[],[f7297,f4851,f4856])). 14.34/2.48 tff(f4856,plain,( 14.34/2.48 spl52_356 <=> ! [X0 : $int] : ($less(X0,$sum(sF37,sF37)) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_356])])). 14.34/2.48 tff(f7297,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF37,sF37))) ) | ~spl52_355), 14.34/2.48 inference(resolution,[],[f4853,f128])). 14.34/2.48 tff(f7296,plain,( 14.34/2.48 spl52_353 | ~spl52_352), 14.34/2.48 inference(avatar_split_clause,[],[f7295,f4768,f4773])). 14.34/2.48 tff(f4773,plain,( 14.34/2.48 spl52_353 <=> ! [X0 : $int] : ($less(X0,$sum(sF37,sF18)) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_353])])). 14.34/2.48 tff(f7295,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF18)) | ~$less(X0,0)) ) | ~spl52_352), 14.34/2.48 inference(resolution,[],[f4770,f128])). 14.34/2.48 tff(f7164,plain,( 14.34/2.48 ~spl52_442 | ~spl52_415 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7163,f2009,f1322,f1198,f1181,f974,f806,f701,f681,f6025,f6462])). 14.34/2.48 tff(f7163,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f7162])). 14.34/2.48 tff(f7162,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(3,1) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7161,f1183])). 14.34/2.48 tff(f7150,plain,( 14.34/2.48 ~spl52_459 | ~spl52_460 | spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f7141,f2028,f1372,f1181,f1167,f854,f806,f681,f7147,f7143])). 14.34/2.48 tff(f7141,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | ~inv1(tb2t2(get(rope,int,sF29,t2tb(sK1(0,sF31,1))))) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7140,f1374])). 14.34/2.48 tff(f7140,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(evaluation,[],[f7139])). 14.34/2.48 tff(f7139,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK1(0,sF31,1))))) | ~$less(length3(string_of_array1(sF31,0,1)),length3(string3(tb2t2(get(rope,int,sF29,sF19))))) | $less(3,1) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f7138,f1183])). 14.34/2.48 tff(f7132,plain,( 14.34/2.48 ~spl52_442 | ~spl52_415 | spl52_26 | ~spl52_51 | ~spl52_75 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f7131,f2009,f1322,f1198,f1181,f955,f806,f681,f6025,f6462])). 14.34/2.48 tff(f7131,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (spl52_26 | ~spl52_51 | ~spl52_75 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f7130,f683])). 14.34/2.48 tff(f7130,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(sK4,0) | (~spl52_51 | ~spl52_75 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7129,f2011])). 14.34/2.48 tff(f7129,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sF16,0) | (~spl52_51 | ~spl52_75 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f7128])). 14.34/2.48 tff(f7128,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | $less(3,1) | $less(sF16,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_51 | ~spl52_75 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f7127,f1183])). 14.34/2.48 tff(f7118,plain,( 14.34/2.48 spl52_339 | ~spl52_338), 14.34/2.48 inference(avatar_split_clause,[],[f7117,f4644,f4649])). 14.34/2.48 tff(f4649,plain,( 14.34/2.48 spl52_339 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF37)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_339])])). 14.34/2.48 tff(f7117,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF37))) ) | ~spl52_338), 14.34/2.48 inference(resolution,[],[f4646,f128])). 14.34/2.48 tff(f7116,plain,( 14.34/2.48 spl52_336 | ~spl52_334), 14.34/2.48 inference(avatar_split_clause,[],[f7115,f4608,f4617])). 14.34/2.48 tff(f4617,plain,( 14.34/2.48 spl52_336 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF18)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_336])])). 14.34/2.48 tff(f4608,plain,( 14.34/2.48 spl52_334 <=> $less(0,$sum(sF18,sF18))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_334])])). 14.34/2.48 tff(f7115,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF18,sF18)) | ~$less(X0,0)) ) | ~spl52_334), 14.34/2.48 inference(resolution,[],[f4610,f128])). 14.34/2.48 tff(f4610,plain,( 14.34/2.48 $less(0,$sum(sF18,sF18)) | ~spl52_334), 14.34/2.48 inference(avatar_component_clause,[],[f4608])). 14.34/2.48 tff(f7114,plain,( 14.34/2.48 spl52_388 | ~spl52_387), 14.34/2.48 inference(avatar_split_clause,[],[f7113,f5454,f5459])). 14.34/2.48 tff(f5459,plain,( 14.34/2.48 spl52_388 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF37)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_388])])). 14.34/2.48 tff(f7113,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF37))) ) | ~spl52_387), 14.34/2.48 inference(resolution,[],[f5456,f128])). 14.34/2.48 tff(f7112,plain,( 14.34/2.48 spl52_441 | spl52_458 | ~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f7108,f3508,f2832,f2813,f1701,f691,f7110,f6452])). 14.34/2.48 tff(f7110,plain,( 14.34/2.48 spl52_458 <=> ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | ~infix_eqeq1(sF35,X0) | $less(X1,0) | ~$less(X1,sF20))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_458])])). 14.34/2.48 tff(f7108,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | ~$less(X1,sF20) | $less(X1,0) | $less(length3(str_proj_11(sK8)),sF20) | ~infix_eqeq1(sF35,X0)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f7107,f405])). 14.34/2.48 tff(f7107,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | $less(length3(str_proj_11(sK8)),sF20) | ~infix_eqeq1(sF35,X0) | ~$less(X1,sF20) | $less(X1,0) | $less(length3(str_proj_11(sK8)),0)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f7106,f3510])). 14.34/2.48 tff(f7106,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK8)),sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | $less(X1,0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~$less(X1,sF20) | ~infix_eqeq1(sF35,X0)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f7105,f693])). 14.34/2.48 tff(f7105,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK8)),sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | $less(X1,0) | ~infix_eqeq1(string3(sK8),X0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~$less(X1,sF20)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(evaluation,[],[f7104])). 14.34/2.48 tff(f7104,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(0,X1)) | $less(length3(str_proj_11(sK8)),sF20) | ~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(X1,0) | ~infix_eqeq1(string3(sK8),X0)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f7103,f3510])). 14.34/2.48 tff(f7103,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~infix_eqeq1(string3(sK8),X0) | $less(X1,0) | $less(length3(str_proj_11(sK8)),sF20)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(duplicate_literal_removal,[],[f7102])). 14.34/2.48 tff(f7102,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(X1,0) | ~$less(X1,sF20) | ~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~infix_eqeq1(string3(sK8),X0) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(length3(str_proj_11(sK8)),sF20)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_231 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f7101,f2834])). 14.34/2.48 tff(f7101,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (~$less(X1,length3(sF35)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(X1,0) | ~$less(X1,sF20) | ~infix_eqeq1(string3(sK8),X0)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(evaluation,[],[f7100])). 14.34/2.48 tff(f7100,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),$sum(0,sF20)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,length3(sF35)) | ~infix_eqeq1(string3(sK8),X0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(X1,0)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f7099,f3510])). 14.34/2.48 tff(f7099,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~infix_eqeq1(string3(sK8),X0) | $less(X1,0) | ~$less(X1,sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,length3(sF35))) ) | (~spl52_28 | ~spl52_148 | spl52_227)), 14.34/2.48 inference(forward_demodulation,[],[f7098,f693])). 14.34/2.48 tff(f7098,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(X1,0) | ~$less(X1,length3(string3(sK8))) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~infix_eqeq1(string3(sK8),X0) | ~$less(X1,sF20)) ) | (~spl52_148 | spl52_227)), 14.34/2.48 inference(subsumption_resolution,[],[f7095,f2815])). 14.34/2.48 tff(f7095,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(str_proj_21(sK8),0) | ~$less(X1,sF20) | $less(X1,0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~infix_eqeq1(string3(sK8),X0) | ~$less(X1,length3(string3(sK8)))) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f2056,f1703])). 14.34/2.48 tff(f7089,plain,( 14.34/2.48 spl52_383 | ~spl52_385), 14.34/2.48 inference(avatar_split_clause,[],[f7088,f5408,f5400])). 14.34/2.48 tff(f5400,plain,( 14.34/2.48 spl52_383 <=> ! [X0 : $int] : ($less(X0,$sum(sF40,sF37)) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_383])])). 14.34/2.48 tff(f7088,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF40,sF37)) | ~$less(X0,0)) ) | ~spl52_385), 14.34/2.48 inference(resolution,[],[f5410,f128])). 14.34/2.48 tff(f6962,plain,( 14.34/2.48 spl52_374 | ~spl52_376), 14.34/2.48 inference(avatar_split_clause,[],[f6961,f5245,f5237])). 14.34/2.48 tff(f5237,plain,( 14.34/2.48 spl52_374 <=> ! [X0 : $int] : ($less(X0,$sum(sF40,sF18)) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_374])])). 14.34/2.48 tff(f5245,plain,( 14.34/2.48 spl52_376 <=> $less(0,$sum(sF40,sF18))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_376])])). 14.34/2.48 tff(f6961,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF40,sF18))) ) | ~spl52_376), 14.34/2.48 inference(resolution,[],[f5247,f128])). 14.34/2.48 tff(f5247,plain,( 14.34/2.48 $less(0,$sum(sF40,sF18)) | ~spl52_376), 14.34/2.48 inference(avatar_component_clause,[],[f5245])). 14.34/2.48 tff(f6960,plain,( 14.34/2.48 spl52_366 | ~spl52_367), 14.34/2.48 inference(avatar_split_clause,[],[f6959,f5159,f5155])). 14.34/2.48 tff(f5155,plain,( 14.34/2.48 spl52_366 <=> ! [X0 : $int] : ($less(X0,$sum(sF47,sF18)) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_366])])). 14.34/2.48 tff(f5159,plain,( 14.34/2.48 spl52_367 <=> $less(0,$sum(sF47,sF18))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_367])])). 14.34/2.48 tff(f6959,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF47,sF18))) ) | ~spl52_367), 14.34/2.48 inference(resolution,[],[f5161,f128])). 14.34/2.48 tff(f5161,plain,( 14.34/2.48 $less(0,$sum(sF47,sF18)) | ~spl52_367), 14.34/2.48 inference(avatar_component_clause,[],[f5159])). 14.34/2.48 tff(f6895,plain,( 14.34/2.48 spl52_350 | ~spl52_349), 14.34/2.48 inference(avatar_split_clause,[],[f6894,f4723,f4728])). 14.34/2.48 tff(f4728,plain,( 14.34/2.48 spl52_350 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF37,sF47)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_350])])). 14.34/2.48 tff(f6894,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF47)) | ~$less(X0,0)) ) | ~spl52_349), 14.34/2.48 inference(resolution,[],[f4725,f128])). 14.34/2.48 tff(f6893,plain,( 14.34/2.48 spl52_346 | ~spl52_347), 14.34/2.48 inference(avatar_split_clause,[],[f6892,f4712,f4708])). 14.34/2.48 tff(f4708,plain,( 14.34/2.48 spl52_346 <=> ! [X0 : $int] : ($less(X0,$sum(sF37,sF40)) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_346])])). 14.34/2.48 tff(f6892,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF40)) | ~$less(X0,0)) ) | ~spl52_347), 14.34/2.48 inference(resolution,[],[f4714,f128])). 14.34/2.48 tff(f6889,plain,( 14.34/2.48 spl52_331 | ~spl52_333), 14.34/2.48 inference(avatar_split_clause,[],[f6888,f4601,f4593])). 14.34/2.48 tff(f4593,plain,( 14.34/2.48 spl52_331 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF40)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_331])])). 14.34/2.48 tff(f4601,plain,( 14.34/2.48 spl52_333 <=> $less(0,$sum(sF18,sF40))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_333])])). 14.34/2.48 tff(f6888,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF18,sF40)) | ~$less(X0,0)) ) | ~spl52_333), 14.34/2.48 inference(resolution,[],[f4603,f128])). 14.34/2.48 tff(f4603,plain,( 14.34/2.48 $less(0,$sum(sF18,sF40)) | ~spl52_333), 14.34/2.48 inference(avatar_component_clause,[],[f4601])). 14.34/2.48 tff(f6887,plain,( 14.34/2.48 spl52_457 | spl52_455 | spl52_435), 14.34/2.48 inference(avatar_split_clause,[],[f6874,f6393,f6876,f6884])). 14.34/2.48 tff(f6874,plain,( 14.34/2.48 $less(0,$sum(sF18,sF20)) | 0 = $sum(sF18,sF20) | spl52_435), 14.34/2.48 inference(resolution,[],[f6395,f129])). 14.34/2.48 tff(f6882,plain,( 14.34/2.48 spl52_455 | spl52_456 | spl52_435), 14.34/2.48 inference(avatar_split_clause,[],[f6873,f6393,f6880,f6876])). 14.34/2.48 tff(f6873,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = $sum(sF18,sF20) | $less(X0,$sum(sF18,sF20)) | ~$less(X0,0)) ) | spl52_435), 14.34/2.48 inference(resolution,[],[f6395,f1052])). 14.34/2.48 tff(f6728,plain,( 14.34/2.48 spl52_452 | spl52_454 | spl52_434), 14.34/2.48 inference(avatar_split_clause,[],[f6714,f6388,f6726,f6717])). 14.34/2.48 tff(f6714,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | 0 = $sum(sF37,sF20) | $less(X0,$sum(sF37,sF20))) ) | spl52_434), 14.34/2.48 inference(resolution,[],[f6390,f1052])). 14.34/2.48 tff(f6724,plain,( 14.34/2.48 spl52_452 | spl52_453 | spl52_434), 14.34/2.48 inference(avatar_split_clause,[],[f6715,f6388,f6721,f6717])). 14.34/2.48 tff(f6715,plain,( 14.34/2.48 0 = $sum(sF37,sF20) | $less(0,$sum(sF37,sF20)) | spl52_434), 14.34/2.48 inference(resolution,[],[f6390,f129])). 14.34/2.48 tff(f6712,plain,( 14.34/2.48 spl52_451 | spl52_441 | ~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f6708,f3508,f2813,f1701,f691,f6452,f6710])). 14.34/2.48 tff(f6710,plain,( 14.34/2.48 spl52_451 <=> ! [X0 : string2,X1 : $int] : (~infix_eqeq1(X0,sF35) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | $less(X1,0) | ~$less(X1,sF20) | ~$less(X1,length3(X0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_451])])). 14.34/2.48 tff(f6708,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (~infix_eqeq1(X0,sF35) | ~$less(X1,length3(X0)) | $less(length3(str_proj_11(sK8)),sF20) | ~$less(X1,sF20) | $less(X1,0) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1)) ) | (~spl52_28 | ~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6707,f693])). 14.34/2.48 tff(f6707,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),X1) | ~$less(X1,length3(X0)) | ~infix_eqeq1(X0,string3(sK8)) | $less(X1,0) | $less(length3(str_proj_11(sK8)),sF20) | ~$less(X1,sF20)) ) | (~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(evaluation,[],[f6706])). 14.34/2.48 tff(f6706,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(0,X1)) | ~$less(X1,length3(X0)) | ~$less(X1,sF20) | ~infix_eqeq1(X0,string3(sK8)) | $less(X1,0) | $less(length3(str_proj_11(sK8)),sF20)) ) | (~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6705,f3510])). 14.34/2.48 tff(f6705,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (~$less(X1,sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(length3(str_proj_11(sK8)),sF20) | ~$less(X1,length3(X0)) | $less(X1,0) | ~infix_eqeq1(X0,string3(sK8))) ) | (~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6704,f405])). 14.34/2.48 tff(f6704,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | $less(length3(str_proj_11(sK8)),0) | $less(X1,0) | ~infix_eqeq1(X0,string3(sK8)) | $less(length3(str_proj_11(sK8)),sF20) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,sF20)) ) | (~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6703,f3510])). 14.34/2.48 tff(f6703,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~infix_eqeq1(X0,string3(sK8)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),sF20) | ~$less(X1,length3(X0)) | $less(X1,0)) ) | (~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(evaluation,[],[f6702])). 14.34/2.48 tff(f6702,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | ~infix_eqeq1(X0,string3(sK8)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | $less(X1,0) | ~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),$sum(0,sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8))) ) | (~spl52_148 | spl52_227 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6701,f3510])). 14.34/2.48 tff(f6701,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~$less(X1,sF20) | $less(X1,0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~infix_eqeq1(X0,string3(sK8)) | ~$less(X1,length3(X0)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1))) ) | (~spl52_148 | spl52_227)), 14.34/2.48 inference(subsumption_resolution,[],[f6699,f2815])). 14.34/2.48 tff(f6699,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : $int] : ($less(str_proj_21(sK8),0) | ~infix_eqeq1(X0,string3(sK8)) | $less(X1,0) | ~$less(X1,length3(X0)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | mixfix_lbrb1(X0,X1) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X1)) | ~$less(X1,sF20) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8))) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f2053,f1703])). 14.34/2.48 tff(f6693,plain,( 14.34/2.48 spl52_449 | spl52_450 | spl52_433), 14.34/2.48 inference(avatar_split_clause,[],[f6680,f6383,f6690,f6685])). 14.34/2.48 tff(f6680,plain,( 14.34/2.48 $less(0,$sum(sF20,sF18)) | 0 = $sum(sF20,sF18) | spl52_433), 14.34/2.48 inference(resolution,[],[f6385,f129])). 14.34/2.48 tff(f6688,plain,( 14.34/2.48 spl52_448 | spl52_449 | spl52_433), 14.34/2.48 inference(avatar_split_clause,[],[f6679,f6383,f6685,f6682])). 14.34/2.48 tff(f6679,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = $sum(sF20,sF18) | ~$less(X0,0) | $less(X0,$sum(sF20,sF18))) ) | spl52_433), 14.34/2.48 inference(resolution,[],[f6385,f1052])). 14.34/2.48 tff(f6535,plain,( 14.34/2.48 spl52_447 | spl52_445 | spl52_432), 14.34/2.48 inference(avatar_split_clause,[],[f6522,f6377,f6524,f6532])). 14.34/2.48 tff(f6522,plain,( 14.34/2.48 $less(0,$sum(sF20,sF37)) | 0 = $sum(sF20,sF37) | spl52_432), 14.34/2.48 inference(resolution,[],[f6379,f129])). 14.34/2.48 tff(f6530,plain,( 14.34/2.48 spl52_445 | spl52_446 | spl52_432), 14.34/2.48 inference(avatar_split_clause,[],[f6521,f6377,f6528,f6524])). 14.34/2.48 tff(f6521,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | 0 = $sum(sF20,sF37) | $less(X0,$sum(sF20,sF37))) ) | spl52_432), 14.34/2.48 inference(resolution,[],[f6379,f1052])). 14.34/2.48 tff(f6499,plain,( 14.34/2.48 spl52_443 | spl52_444 | ~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f6492,f2028,f1181,f1167,f854,f6497,f6494])). 14.34/2.48 tff(f6492,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X3,0) | $less(X2,0) | $less(X1,X2) | $less(3,X0) | ~$less(X3,3) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1)))) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6491,f1183])). 14.34/2.48 tff(f6491,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~$less(X3,sK4) | $less(3,X0) | $less(X3,0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(X0,X1) | $less(X1,X2) | $less(X2,0)) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6490,f2030])). 14.34/2.48 tff(f6490,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X2,0) | infix_eqeq1(string_of_array1(sF31,X2,X0),app2(string_of_array1(sF31,X1,X0),string_of_array1(sF31,X2,X1))) | $less(3,X0) | $less(X1,X2) | ~$less(X3,sF33) | $less(X3,0)) ) | (~spl52_60 | ~spl52_101 | ~spl52_103 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6489,f1183])). 14.34/2.48 tff(f6465,plain,( 14.34/2.48 ~spl52_442 | ~spl52_415 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6460,f2009,f1322,f1198,f1181,f974,f806,f701,f681,f6025,f6462])). 14.34/2.48 tff(f6460,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6459,f808])). 14.34/2.48 tff(f6459,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(interpreted_simplification,[],[f6458])). 14.34/2.48 tff(f6458,plain,( 14.34/2.48 ~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(0,sF14,1))))) | ~$less(0,1) | $less(0,0) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | $less(0,0) | $less(3,1) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(instantiation,[],[f6333])). 14.34/2.48 tff(f6333,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~inv1(tb2t2(get(rope,int,sF12,t2tb(sK1(X0,sF14,X1))))) | ~$less(X2,X1) | $less(X2,X0) | ~$less(length3(string_of_array1(sF14,X0,X1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X2)))))) | $less(X0,0) | $less(3,X1)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_103 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2443,f1183])). 14.34/2.48 tff(f6457,plain,( 14.34/2.48 spl52_440 | ~spl52_234 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f6420,f3508,f2850,f6442])). 14.34/2.48 tff(f6420,plain,( 14.34/2.48 $less(0,length3(str_proj_11(sK8))) | (~spl52_234 | ~spl52_277)), 14.34/2.48 inference(superposition,[],[f2852,f3510])). 14.34/2.48 tff(f6456,plain,( 14.34/2.48 spl52_439 | ~spl52_148 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f6419,f3508,f1701,f6433])). 14.34/2.48 tff(f6419,plain,( 14.34/2.48 sK8 = str1(str_proj_11(sK8),0,sF20) | (~spl52_148 | ~spl52_277)), 14.34/2.48 inference(superposition,[],[f1703,f3510])). 14.34/2.48 tff(f6455,plain,( 14.34/2.48 ~spl52_441 | ~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_147 | spl52_149 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f6450,f3508,f1705,f1697,f831,f766,f611,f6452])). 14.34/2.48 tff(f6450,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),sF20) | (~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_147 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6449,f1698])). 14.34/2.48 tff(f1698,plain,( 14.34/2.48 sK8 != app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | spl52_147), 14.34/2.48 inference(avatar_component_clause,[],[f1697])). 14.34/2.48 tff(f6449,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | ~$less(length3(str_proj_11(sK8)),sF20) | (~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6448,f613])). 14.34/2.48 tff(f6448,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),sF20) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_43 | ~spl52_56 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6447,f833])). 14.34/2.48 tff(f6447,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),str_proj_31(sK8)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_43 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6446,f1706])). 14.34/2.48 tff(f6446,plain,( 14.34/2.48 emp1 = sK8 | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | ~$less(length3(str_proj_11(sK8)),str_proj_31(sK8)) | (~spl52_43 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6426,f768])). 14.34/2.48 tff(f6426,plain,( 14.34/2.48 ~inv1(sK8) | ~$less(length3(str_proj_11(sK8)),str_proj_31(sK8)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | emp1 = sK8 | ~spl52_277), 14.34/2.48 inference(evaluation,[],[f6422])). 14.34/2.48 tff(f6422,plain,( 14.34/2.48 ~inv1(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | ~$less(length3(str_proj_11(sK8)),$sum(0,str_proj_31(sK8))) | emp1 = sK8 | ~spl52_277), 14.34/2.48 inference(superposition,[],[f1663,f3510])). 14.34/2.48 tff(f6445,plain,( 14.34/2.48 spl52_440 | ~spl52_12 | ~spl52_43 | spl52_147 | spl52_149 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f6440,f3508,f1705,f1697,f766,f611,f6442])). 14.34/2.48 tff(f6440,plain,( 14.34/2.48 $less(0,length3(str_proj_11(sK8))) | (~spl52_12 | ~spl52_43 | spl52_147 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6439,f1698])). 14.34/2.48 tff(f6439,plain,( 14.34/2.48 $less(0,length3(str_proj_11(sK8))) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | (~spl52_12 | ~spl52_43 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6438,f613])). 14.34/2.48 tff(f6438,plain,( 14.34/2.48 $less(0,length3(str_proj_11(sK8))) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_43 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6437,f768])). 14.34/2.48 tff(f6437,plain,( 14.34/2.48 $less(0,length3(str_proj_11(sK8))) | ~inv1(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6423,f1706])). 14.34/2.48 tff(f6423,plain,( 14.34/2.48 emp1 = sK8 | ~inv1(sK8) | $less(0,length3(str_proj_11(sK8))) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | ~spl52_277), 14.34/2.48 inference(superposition,[],[f1661,f3510])). 14.34/2.48 tff(f6436,plain,( 14.34/2.48 spl52_439 | ~spl52_12 | ~spl52_56 | spl52_147 | spl52_149 | ~spl52_277), 14.34/2.48 inference(avatar_split_clause,[],[f6431,f3508,f1705,f1697,f831,f611,f6433])). 14.34/2.48 tff(f6431,plain,( 14.34/2.48 sK8 = str1(str_proj_11(sK8),0,sF20) | (~spl52_12 | ~spl52_56 | spl52_147 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6430,f1698])). 14.34/2.48 tff(f6430,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | sK8 = str1(str_proj_11(sK8),0,sF20) | (~spl52_12 | ~spl52_56 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6429,f613])). 14.34/2.48 tff(f6429,plain,( 14.34/2.48 sK8 = str1(str_proj_11(sK8),0,sF20) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_56 | spl52_149 | ~spl52_277)), 14.34/2.48 inference(forward_demodulation,[],[f6428,f833])). 14.34/2.48 tff(f6428,plain,( 14.34/2.48 sK8 = str1(str_proj_11(sK8),0,str_proj_31(sK8)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (spl52_149 | ~spl52_277)), 14.34/2.48 inference(subsumption_resolution,[],[f6425,f1706])). 14.34/2.48 tff(f6425,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sK8 = str1(str_proj_11(sK8),0,str_proj_31(sK8)) | emp1 = sK8 | ~spl52_277), 14.34/2.48 inference(superposition,[],[f452,f3510])). 14.34/2.48 tff(f6414,plain,( 14.34/2.48 spl52_436 | spl52_438 | spl52_237), 14.34/2.48 inference(avatar_split_clause,[],[f6400,f2903,f6412,f6403])). 14.34/2.48 tff(f6403,plain,( 14.34/2.48 spl52_436 <=> 0 = length4(app_proj_21(sK8))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_436])])). 14.34/2.48 tff(f2903,plain,( 14.34/2.48 spl52_237 <=> $less(0,length4(app_proj_21(sK8)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_237])])). 14.34/2.48 tff(f6400,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,length4(app_proj_21(sK8))) | $less(X0,0) | 0 = length4(app_proj_21(sK8))) ) | spl52_237), 14.34/2.48 inference(resolution,[],[f2904,f1052])). 14.34/2.48 tff(f2904,plain,( 14.34/2.48 ~$less(0,length4(app_proj_21(sK8))) | spl52_237), 14.34/2.48 inference(avatar_component_clause,[],[f2903])). 14.34/2.48 tff(f6410,plain,( 14.34/2.48 spl52_436 | spl52_437 | spl52_237), 14.34/2.48 inference(avatar_split_clause,[],[f6401,f2903,f6407,f6403])). 14.34/2.48 tff(f6401,plain,( 14.34/2.48 0 = length4(app_proj_21(sK8)) | $less(length4(app_proj_21(sK8)),0) | spl52_237), 14.34/2.48 inference(resolution,[],[f2904,f129])). 14.34/2.48 tff(f6397,plain,( 14.34/2.48 spl52_426 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f6369,f2832,f6200])). 14.34/2.48 tff(f6369,plain,( 14.34/2.48 ( ! [X0 : string2] : (length3(app2(X0,sF35)) = $sum(length3(X0),sF20)) ) | ~spl52_231), 14.34/2.48 inference(superposition,[],[f432,f2834])). 14.34/2.48 tff(f6396,plain,( 14.34/2.48 ~spl52_435 | ~spl52_10 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f6372,f2832,f601,f6393])). 14.34/2.48 tff(f6372,plain,( 14.34/2.48 ~$less($sum(sF18,sF20),0) | (~spl52_10 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f2972,f2834])). 14.34/2.48 tff(f6391,plain,( 14.34/2.48 ~spl52_434 | ~spl52_8 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f6373,f2832,f591,f6388])). 14.34/2.48 tff(f6373,plain,( 14.34/2.48 ~$less($sum(sF37,sF20),0) | (~spl52_8 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f2991,f2834])). 14.34/2.48 tff(f6386,plain,( 14.34/2.48 ~spl52_433 | ~spl52_10 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f6374,f2832,f601,f6383])). 14.34/2.48 tff(f6374,plain,( 14.34/2.48 ~$less($sum(sF20,sF18),0) | (~spl52_10 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f3026,f2834])). 14.34/2.48 tff(f6381,plain,( 14.34/2.48 spl52_425 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f6368,f2832,f6193])). 14.34/2.48 tff(f6368,plain,( 14.34/2.48 ( ! [X0 : string2] : (length3(app2(sF35,X0)) = $sum(sF20,length3(X0))) ) | ~spl52_231), 14.34/2.48 inference(superposition,[],[f432,f2834])). 14.34/2.48 tff(f6380,plain,( 14.34/2.48 ~spl52_432 | ~spl52_8 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f6375,f2832,f591,f6377])). 14.34/2.48 tff(f6375,plain,( 14.34/2.48 ~$less($sum(sF20,sF37),0) | (~spl52_8 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f3063,f2834])). 14.34/2.48 tff(f6365,plain,( 14.34/2.48 spl52_431 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_233), 14.34/2.48 inference(avatar_split_clause,[],[f6360,f2842,f2806,f1286,f1036,f766,f6362])). 14.34/2.48 tff(f6362,plain,( 14.34/2.48 spl52_431 <=> inv1(app3(sK8,sK8,$sum(sF20,length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_431])])). 14.34/2.48 tff(f2806,plain,( 14.34/2.48 spl52_226 <=> sF20 = length4(sK8)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_226])])). 14.34/2.48 tff(f6360,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF20,length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_233)), 14.34/2.48 inference(subsumption_resolution,[],[f6359,f768])). 14.34/2.48 tff(f6359,plain,( 14.34/2.48 ~inv1(sK8) | inv1(app3(sK8,sK8,$sum(sF20,length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_233)), 14.34/2.48 inference(subsumption_resolution,[],[f6355,f2844])). 14.34/2.48 tff(f6355,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF20,length3(sF35)))) | ~$less(0,sF20) | ~inv1(sK8) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226)), 14.34/2.48 inference(superposition,[],[f1825,f2808])). 14.34/2.48 tff(f2808,plain,( 14.34/2.48 sF20 = length4(sK8) | ~spl52_226), 14.34/2.48 inference(avatar_component_clause,[],[f2806])). 14.34/2.48 tff(f6352,plain,( 14.34/2.48 spl52_278 | spl52_277 | spl52_227), 14.34/2.48 inference(avatar_split_clause,[],[f6350,f2813,f3508,f3513])). 14.34/2.48 tff(f6350,plain,( 14.34/2.48 0 = str_proj_21(sK8) | $less(0,str_proj_21(sK8)) | spl52_227), 14.34/2.48 inference(resolution,[],[f2815,f129])). 14.34/2.48 tff(f6351,plain,( 14.34/2.48 spl52_277 | spl52_276 | spl52_227), 14.34/2.48 inference(avatar_split_clause,[],[f6349,f2813,f3505,f3508])). 14.34/2.48 tff(f6349,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | 0 = str_proj_21(sK8) | $less(X0,str_proj_21(sK8))) ) | spl52_227), 14.34/2.48 inference(resolution,[],[f2815,f1052])). 14.34/2.48 tff(f6339,plain,( 14.34/2.48 spl52_328 | ~spl52_326), 14.34/2.48 inference(avatar_split_clause,[],[f6338,f4421,f4430])). 14.34/2.48 tff(f4430,plain,( 14.34/2.48 spl52_328 <=> ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF51))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_328])])). 14.34/2.48 tff(f4421,plain,( 14.34/2.48 spl52_326 <=> $less(0,sF51)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_326])])). 14.34/2.48 tff(f6338,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF51)) ) | ~spl52_326), 14.34/2.48 inference(resolution,[],[f4423,f128])). 14.34/2.48 tff(f4423,plain,( 14.34/2.48 $less(0,sF51) | ~spl52_326), 14.34/2.48 inference(avatar_component_clause,[],[f4421])). 14.34/2.48 tff(f6329,plain,( 14.34/2.48 spl52_430 | ~spl52_22 | ~spl52_428), 14.34/2.48 inference(avatar_split_clause,[],[f6317,f6216,f661,f6326])). 14.34/2.48 tff(f661,plain,( 14.34/2.48 spl52_22 <=> $sum(sF18,sF25) = sF26), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_22])])). 14.34/2.48 tff(f6216,plain,( 14.34/2.48 spl52_428 <=> sF20 = sF25), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_428])])). 14.34/2.48 tff(f6317,plain,( 14.34/2.48 sF26 = $sum(sF18,sF20) | (~spl52_22 | ~spl52_428)), 14.34/2.48 inference(superposition,[],[f663,f6218])). 14.34/2.48 tff(f6218,plain,( 14.34/2.48 sF20 = sF25 | ~spl52_428), 14.34/2.48 inference(avatar_component_clause,[],[f6216])). 14.34/2.48 tff(f663,plain,( 14.34/2.48 $sum(sF18,sF25) = sF26 | ~spl52_22), 14.34/2.48 inference(avatar_component_clause,[],[f661])). 14.34/2.48 tff(f6323,plain,( 14.34/2.48 spl52_429 | ~spl52_160 | ~spl52_428), 14.34/2.48 inference(avatar_split_clause,[],[f6316,f6216,f1835,f6320])). 14.34/2.48 tff(f6320,plain,( 14.34/2.48 spl52_429 <=> $less(sF20,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_429])])). 14.34/2.48 tff(f1835,plain,( 14.34/2.48 spl52_160 <=> $less(sF25,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_160])])). 14.34/2.48 tff(f6316,plain,( 14.34/2.48 $less(sF20,sF28) | (~spl52_160 | ~spl52_428)), 14.34/2.48 inference(superposition,[],[f1837,f6218])). 14.34/2.48 tff(f1837,plain,( 14.34/2.48 $less(sF25,sF28) | ~spl52_160), 14.34/2.48 inference(avatar_component_clause,[],[f1835])). 14.34/2.48 tff(f6219,plain,( 14.34/2.48 spl52_428 | ~spl52_4 | ~spl52_79 | ~spl52_414), 14.34/2.48 inference(avatar_split_clause,[],[f6214,f6017,f990,f571,f6216])). 14.34/2.48 tff(f571,plain,( 14.34/2.48 spl52_4 <=> tb2t(sF24) = sF25), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_4])])). 14.34/2.48 tff(f990,plain,( 14.34/2.48 spl52_79 <=> sF20 = tb2t(sF21)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_79])])). 14.34/2.48 tff(f6017,plain,( 14.34/2.48 spl52_414 <=> sF21 = sF24), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_414])])). 14.34/2.48 tff(f6214,plain,( 14.34/2.48 sF20 = sF25 | (~spl52_4 | ~spl52_79 | ~spl52_414)), 14.34/2.48 inference(forward_demodulation,[],[f6213,f992])). 14.34/2.48 tff(f992,plain,( 14.34/2.48 sF20 = tb2t(sF21) | ~spl52_79), 14.34/2.48 inference(avatar_component_clause,[],[f990])). 14.34/2.48 tff(f6213,plain,( 14.34/2.48 sF25 = tb2t(sF21) | (~spl52_4 | ~spl52_414)), 14.34/2.48 inference(superposition,[],[f573,f6019])). 14.34/2.48 tff(f6019,plain,( 14.34/2.48 sF21 = sF24 | ~spl52_414), 14.34/2.48 inference(avatar_component_clause,[],[f6017])). 14.34/2.48 tff(f573,plain,( 14.34/2.48 tb2t(sF24) = sF25 | ~spl52_4), 14.34/2.48 inference(avatar_component_clause,[],[f571])). 14.34/2.48 tff(f6212,plain,( 14.34/2.48 spl52_420 | ~spl52_39 | ~spl52_427), 14.34/2.48 inference(avatar_split_clause,[],[f6210,f6205,f746,f6092])). 14.34/2.48 tff(f6092,plain,( 14.34/2.48 spl52_420 <=> $less(3,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_420])])). 14.34/2.48 tff(f6210,plain,( 14.34/2.48 $less(3,sF28) | (~spl52_39 | ~spl52_427)), 14.34/2.48 inference(resolution,[],[f6207,f1049])). 14.34/2.48 tff(f6208,plain,( 14.34/2.48 spl52_427 | ~spl52_103 | ~spl52_398), 14.34/2.48 inference(avatar_split_clause,[],[f6203,f5838,f1181,f6205])). 14.34/2.48 tff(f5838,plain,( 14.34/2.48 spl52_398 <=> $less(sK4,sF26)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_398])])). 14.34/2.48 tff(f6203,plain,( 14.34/2.48 $less(3,sF26) | (~spl52_103 | ~spl52_398)), 14.34/2.48 inference(forward_demodulation,[],[f5840,f1183])). 14.34/2.48 tff(f5840,plain,( 14.34/2.48 $less(sK4,sF26) | ~spl52_398), 14.34/2.48 inference(avatar_component_clause,[],[f5838])). 14.34/2.48 tff(f6202,plain,( 14.34/2.48 spl52_426 | spl52_230 | spl52_228 | spl52_227 | ~spl52_28 | ~spl52_148 | spl52_232), 14.34/2.48 inference(avatar_split_clause,[],[f6198,f2836,f1701,f691,f2813,f2819,f2826,f6200])). 14.34/2.48 tff(f6198,plain,( 14.34/2.48 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | length3(app2(X0,sF35)) = $sum(length3(X0),sF20) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | (~spl52_28 | ~spl52_148 | spl52_232)), 14.34/2.48 inference(forward_demodulation,[],[f6197,f693])). 14.34/2.48 tff(f6197,plain,( 14.34/2.48 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $sum(length3(X0),sF20) = length3(app2(X0,string3(sK8))) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | (~spl52_148 | spl52_232)), 14.34/2.48 inference(subsumption_resolution,[],[f6171,f2837])). 14.34/2.48 tff(f6171,plain,( 14.34/2.48 ( ! [X0 : string2] : ($sum(length3(X0),sF20) = length3(app2(X0,string3(sK8))) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(sF20,0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f1858,f1703])). 14.34/2.48 tff(f6195,plain,( 14.34/2.48 spl52_227 | spl52_228 | spl52_425 | spl52_230 | ~spl52_28 | ~spl52_148 | spl52_232), 14.34/2.48 inference(avatar_split_clause,[],[f6191,f2836,f1701,f691,f2826,f6193,f2819,f2813])). 14.34/2.48 tff(f6191,plain,( 14.34/2.48 ( ! [X0 : string2] : (length3(app2(sF35,X0)) = $sum(sF20,length3(X0)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8))) ) | (~spl52_28 | ~spl52_148 | spl52_232)), 14.34/2.48 inference(forward_demodulation,[],[f6190,f693])). 14.34/2.48 tff(f6190,plain,( 14.34/2.48 ( ! [X0 : string2] : ($less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $sum(sF20,length3(X0)) = length3(app2(string3(sK8),X0)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | (~spl52_148 | spl52_232)), 14.34/2.48 inference(subsumption_resolution,[],[f6172,f2837])). 14.34/2.48 tff(f6172,plain,( 14.34/2.48 ( ! [X0 : string2] : ($less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $sum(sF20,length3(X0)) = length3(app2(string3(sK8),X0)) | $less(str_proj_21(sK8),0) | $less(sF20,0)) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f1859,f1703])). 14.34/2.48 tff(f6189,plain,( 14.34/2.48 spl52_228 | spl52_229 | spl52_230 | spl52_227 | ~spl52_28 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f6188,f1701,f691,f2813,f2826,f2823,f2819])). 14.34/2.48 tff(f6188,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF20) | $less(X0,0) | mixfix_lbrb1(sF35,X0) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20))) ) | (~spl52_28 | ~spl52_148)), 14.34/2.48 inference(forward_demodulation,[],[f6173,f693])). 14.34/2.48 tff(f6173,plain,( 14.34/2.48 ( ! [X0 : $int] : (mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) = mixfix_lbrb1(string3(sK8),X0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~$less(X0,sF20) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(X0,0) | $less(str_proj_21(sK8),0)) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f2021,f1703])). 14.34/2.48 tff(f6186,plain,( 14.34/2.48 spl52_230 | spl52_228 | spl52_227 | spl52_231 | ~spl52_28 | ~spl52_148 | spl52_232), 14.34/2.48 inference(avatar_split_clause,[],[f6185,f2836,f1701,f691,f2832,f2813,f2819,f2826])). 14.34/2.48 tff(f6185,plain,( 14.34/2.48 $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | sF20 = length3(sF35) | (~spl52_28 | ~spl52_148 | spl52_232)), 14.34/2.48 inference(forward_demodulation,[],[f6184,f693])). 14.34/2.48 tff(f6184,plain,( 14.34/2.48 sF20 = length3(string3(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(str_proj_21(sK8),0) | (~spl52_148 | spl52_232)), 14.34/2.48 inference(subsumption_resolution,[],[f6169,f2837])). 14.34/2.48 tff(f6169,plain,( 14.34/2.48 $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | $less(sF20,0) | sF20 = length3(string3(sK8)) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f488,f1703])). 14.34/2.48 tff(f6183,plain,( 14.34/2.48 ~spl52_424 | ~spl52_146 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f6174,f1701,f1688,f6180])). 14.34/2.48 tff(f6180,plain,( 14.34/2.48 spl52_424 <=> sK8 = sK9), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_424])])). 14.34/2.48 tff(f6174,plain,( 14.34/2.48 sK8 != sK9 | (~spl52_146 | ~spl52_148)), 14.34/2.48 inference(superposition,[],[f3805,f1703])). 14.34/2.48 tff(f3805,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : string2,X1 : $int] : (str1(X0,X1,X2) != sK9) ) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f480,f1690])). 14.34/2.48 tff(f6178,plain,( 14.34/2.48 spl52_228 | spl52_227 | spl52_231 | ~spl52_28 | ~spl52_148 | ~spl52_233 | ~spl52_234), 14.34/2.48 inference(avatar_split_clause,[],[f6177,f2850,f2842,f1701,f691,f2832,f2813,f2819])). 14.34/2.48 tff(f6177,plain,( 14.34/2.48 $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sF20 = length3(sF35) | (~spl52_28 | ~spl52_148 | ~spl52_233 | ~spl52_234)), 14.34/2.48 inference(forward_demodulation,[],[f6176,f693])). 14.34/2.48 tff(f6176,plain,( 14.34/2.48 sF20 = length3(string3(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | (~spl52_148 | ~spl52_233 | ~spl52_234)), 14.34/2.48 inference(subsumption_resolution,[],[f6175,f2852])). 14.34/2.48 tff(f6175,plain,( 14.34/2.48 $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sF20 = length3(string3(sK8)) | ~$less(str_proj_21(sK8),length3(str_proj_11(sK8))) | (~spl52_148 | ~spl52_233)), 14.34/2.48 inference(subsumption_resolution,[],[f6170,f2844])). 14.34/2.48 tff(f6170,plain,( 14.34/2.48 ~$less(0,sF20) | $less(str_proj_21(sK8),0) | sF20 = length3(string3(sK8)) | ~$less(str_proj_21(sK8),length3(str_proj_11(sK8))) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f1643,f1703])). 14.34/2.48 tff(f6140,plain,( 14.34/2.48 spl52_293 | ~spl52_213), 14.34/2.48 inference(avatar_split_clause,[],[f6139,f2695,f3786])). 14.34/2.48 tff(f6139,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF38) | $less(X0,0)) ) | ~spl52_213), 14.34/2.48 inference(resolution,[],[f2697,f128])). 14.34/2.48 tff(f6110,plain,( 14.34/2.48 spl52_423 | ~spl52_103 | ~spl52_178), 14.34/2.48 inference(avatar_split_clause,[],[f6073,f2089,f1181,f6107])). 14.34/2.48 tff(f6073,plain,( 14.34/2.48 $less(sK2(2,3,sF31),3) | (~spl52_103 | ~spl52_178)), 14.34/2.48 inference(superposition,[],[f2091,f1183])). 14.34/2.48 tff(f6105,plain,( 14.34/2.48 ~spl52_422 | ~spl52_103 | spl52_179), 14.34/2.48 inference(avatar_split_clause,[],[f6074,f2120,f1181,f6102])). 14.34/2.48 tff(f2120,plain,( 14.34/2.48 spl52_179 <=> emp1 = tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_179])])). 14.34/2.48 tff(f6074,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,3,sF14)))) | (~spl52_103 | spl52_179)), 14.34/2.48 inference(superposition,[],[f2122,f1183])). 14.34/2.48 tff(f2122,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14)))) | spl52_179), 14.34/2.48 inference(avatar_component_clause,[],[f2120])). 14.34/2.48 tff(f6100,plain,( 14.34/2.48 spl52_421 | ~spl52_103 | ~spl52_177), 14.34/2.48 inference(avatar_split_clause,[],[f6071,f2042,f1181,f6097])). 14.34/2.48 tff(f6097,plain,( 14.34/2.48 spl52_421 <=> $less(sK2(2,3,sF14),3)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_421])])). 14.34/2.48 tff(f6071,plain,( 14.34/2.48 $less(sK2(2,3,sF14),3) | (~spl52_103 | ~spl52_177)), 14.34/2.48 inference(superposition,[],[f2044,f1183])). 14.34/2.48 tff(f6095,plain,( 14.34/2.48 spl52_420 | ~spl52_103 | ~spl52_372), 14.34/2.48 inference(avatar_split_clause,[],[f6084,f5224,f1181,f6092])). 14.34/2.48 tff(f5224,plain,( 14.34/2.48 spl52_372 <=> $less(sK4,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_372])])). 14.34/2.48 tff(f6084,plain,( 14.34/2.48 $less(3,sF28) | (~spl52_103 | ~spl52_372)), 14.34/2.48 inference(superposition,[],[f5226,f1183])). 14.34/2.48 tff(f5226,plain,( 14.34/2.48 $less(sK4,sF28) | ~spl52_372), 14.34/2.48 inference(avatar_component_clause,[],[f5224])). 14.34/2.48 tff(f6090,plain,( 14.34/2.48 ~spl52_419 | ~spl52_103 | spl52_181), 14.34/2.48 inference(avatar_split_clause,[],[f6076,f2143,f1181,f6087])). 14.34/2.48 tff(f2143,plain,( 14.34/2.48 spl52_181 <=> emp1 = tb2t2(get(rope,int,sF29,t2tb(sK2(2,sK4,sF31))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_181])])). 14.34/2.48 tff(f6076,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,3,sF31)))) | (~spl52_103 | spl52_181)), 14.34/2.48 inference(superposition,[],[f2145,f1183])). 14.34/2.48 tff(f2145,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,sK4,sF31)))) | spl52_181), 14.34/2.48 inference(avatar_component_clause,[],[f2143])). 14.34/2.48 tff(f6085,plain,( 14.34/2.48 spl52_134 | ~spl52_103 | ~spl52_174), 14.34/2.48 inference(avatar_split_clause,[],[f6070,f2017,f1181,f1460])). 14.34/2.48 tff(f6070,plain,( 14.34/2.48 sF17 = string_of_array1(sF14,2,3) | (~spl52_103 | ~spl52_174)), 14.34/2.48 inference(superposition,[],[f2019,f1183])). 14.34/2.48 tff(f6062,plain,( 14.34/2.48 ~spl52_236 | spl52_418 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_238), 14.34/2.48 inference(avatar_split_clause,[],[f4137,f2909,f1286,f1036,f766,f6059,f2897])). 14.34/2.48 tff(f2897,plain,( 14.34/2.48 spl52_236 <=> inv1(app_proj_11(sK8))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_236])])). 14.34/2.48 tff(f6059,plain,( 14.34/2.48 spl52_418 <=> inv1(app3(app_proj_11(sK8),sK8,$sum(length4(app_proj_11(sK8)),length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_418])])). 14.34/2.48 tff(f2909,plain,( 14.34/2.48 spl52_238 <=> $less(0,length4(app_proj_11(sK8)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_238])])). 14.34/2.48 tff(f4137,plain,( 14.34/2.48 ~inv1(app_proj_11(sK8)) | inv1(app3(app_proj_11(sK8),sK8,$sum(length4(app_proj_11(sK8)),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_238)), 14.34/2.48 inference(resolution,[],[f2911,f1825])). 14.34/2.48 tff(f2911,plain,( 14.34/2.48 $less(0,length4(app_proj_11(sK8))) | ~spl52_238), 14.34/2.48 inference(avatar_component_clause,[],[f2909])). 14.34/2.48 tff(f6057,plain,( 14.34/2.48 spl52_147 | spl52_414 | ~spl52_12 | ~spl52_18 | spl52_149), 14.34/2.48 inference(avatar_split_clause,[],[f5005,f1705,f641,f611,f6017,f1697])). 14.34/2.48 tff(f641,plain,( 14.34/2.48 spl52_18 <=> match_rope1(int,sK8,sF19,sF21,sF23) = sF24), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_18])])). 14.34/2.48 tff(f5005,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | sF21 = sF24 | (~spl52_12 | ~spl52_18 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f5004,f613])). 14.34/2.48 tff(f5004,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sF21 = sF24 | (~spl52_18 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f5003,f1706])). 14.34/2.48 tff(f5003,plain,( 14.34/2.48 emp1 = sK8 | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sF21 = sF24 | ~spl52_18), 14.34/2.48 inference(subsumption_resolution,[],[f4963,f866])). 14.34/2.48 tff(f4963,plain,( 14.34/2.48 sF21 = sF24 | ~sort1(int,sF21) | emp1 = sK8 | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | ~spl52_18), 14.34/2.48 inference(superposition,[],[f643,f1666])). 14.34/2.48 tff(f643,plain,( 14.34/2.48 match_rope1(int,sK8,sF19,sF21,sF23) = sF24 | ~spl52_18), 14.34/2.48 inference(avatar_component_clause,[],[f641])). 14.34/2.48 tff(f6056,plain,( 14.34/2.48 spl52_368 | spl52_411 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5814,f2009,f1322,f1198,f974,f806,f701,f681,f5996,f5172])). 14.34/2.48 tff(f5996,plain,( 14.34/2.48 spl52_411 <=> infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_411])])). 14.34/2.48 tff(f5814,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5813,f2011])). 14.34/2.48 tff(f5813,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sF16,1) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f5812,f683])). 14.34/2.48 tff(f5812,plain,( 14.34/2.48 $less(sF16,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sK4,0) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5811,f2011])). 14.34/2.48 tff(f5811,plain,( 14.34/2.48 $less(sF16,0) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sF16,1) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5810,f1200])). 14.34/2.48 tff(f5810,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(length5(rope,sF13),1) | $less(sF16,0) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5809,f1200])). 14.34/2.48 tff(f5809,plain,( 14.34/2.48 $less(length5(rope,sF13),0) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(length5(rope,sF13),1) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5808,f1324])). 14.34/2.48 tff(f5808,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))),string_of_array1(sF14,0,0))) | $less(length5(rope,sF13),1) | $less(length5(rope,sF13),0) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f5807,f976])). 14.34/2.48 tff(f5807,plain,( 14.34/2.48 $less(length5(rope,sF15),0) | $less(length5(rope,sF13),1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))),string_of_array1(sF14,0,0))) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f5806,f976])). 14.34/2.48 tff(f5806,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))),string_of_array1(sF14,0,0))) | $less(length5(rope,sF15),0) | $less(length5(rope,sF13),1) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f5805,f976])). 14.34/2.48 tff(f5805,plain,( 14.34/2.48 $less(length5(rope,sF15),1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))),string_of_array1(sF14,0,0))) | $less(length5(rope,sF15),0) | (~spl52_30 | ~spl52_51)), 14.34/2.48 inference(superposition,[],[f2180,f703])). 14.34/2.48 tff(f2180,plain,( 14.34/2.48 ( ! [X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),1) | infix_eqeq1(string_of_array1(X1,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),sF19))),string_of_array1(X1,0,0))) | $less(length5(rope,t2tb1(X1)),0)) ) | ~spl52_51), 14.34/2.48 inference(forward_demodulation,[],[f2164,f808])). 14.34/2.48 tff(f2164,plain,( 14.34/2.48 ( ! [X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),1) | infix_eqeq1(string_of_array1(X1,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb(0)))),string_of_array1(X1,0,0)))) )), 14.34/2.48 inference(evaluation,[],[f2156])). 14.34/2.48 tff(f2156,plain,( 14.34/2.48 ( ! [X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),1) | infix_eqeq1(string_of_array1(X1,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb($sum(1,-1))))),string_of_array1(X1,0,$sum(1,-1))))) )), 14.34/2.48 inference(interpreted_simplification,[],[f2155])). 14.34/2.48 tff(f2155,plain,( 14.34/2.48 ( ! [X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),0) | $less(length5(rope,t2tb1(X1)),1) | $less(0,0) | infix_eqeq1(string_of_array1(X1,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,t2tb1(X1)),t2tb($sum(1,-1))))),string_of_array1(X1,0,$sum(1,-1)))) | ~$less(0,1)) )), 14.34/2.48 inference(instantiation,[],[f553])). 14.34/2.48 tff(f6053,plain,( 14.34/2.48 spl52_368 | spl52_412 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5685,f2009,f1322,f1198,f974,f806,f701,f6003,f5172])). 14.34/2.48 tff(f6003,plain,( 14.34/2.48 spl52_412 <=> ! [X3 : rope1] : infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,sF19,t2tb2(X3)))),1,1))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_412])])). 14.34/2.48 tff(f5685,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,sF19,t2tb2(X0)))),1,1)) | $less(sK4,1)) ) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5684,f2011])). 14.34/2.48 tff(f5684,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,sF19,t2tb2(X0)))),1,1)) | $less(sF16,1)) ) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5683,f1200])). 14.34/2.48 tff(f5683,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(length5(rope,sF13),1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,sF19,t2tb2(X0)))),1,1))) ) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5682,f2011])). 14.34/2.48 tff(f5682,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sF16,set(rope,int,sF12,sF19,t2tb2(X0)))),1,1)) | $less(length5(rope,sF13),1)) ) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5681,f1200])). 14.34/2.48 tff(f5681,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,sF12,sF19,t2tb2(X0)))),1,1)) | $less(length5(rope,sF13),1)) ) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5680,f1324])). 14.34/2.48 tff(f5680,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),sF19,t2tb2(X0)))),1,1)) | $less(length5(rope,sF13),1)) ) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f5679,f976])). 14.34/2.48 tff(f5679,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(length5(rope,sF15),1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),sF19,t2tb2(X0)))),1,1))) ) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f5678,f976])). 14.34/2.48 tff(f5678,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF15),set(rope,int,elts(rope,sF15),sF19,t2tb2(X0)))),1,1)) | $less(length5(rope,sF15),1)) ) | (~spl52_30 | ~spl52_51)), 14.34/2.48 inference(superposition,[],[f2204,f703])). 14.34/2.48 tff(f2204,plain,( 14.34/2.48 ( ! [X3 : rope1,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),1) | infix_eqeq1(string_of_array1(X1,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),sF19,t2tb2(X3)))),1,1))) ) | ~spl52_51), 14.34/2.48 inference(forward_demodulation,[],[f2189,f808])). 14.34/2.48 tff(f2189,plain,( 14.34/2.48 ( ! [X3 : rope1,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),1) | infix_eqeq1(string_of_array1(X1,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),t2tb(0),t2tb2(X3)))),1,1))) )), 14.34/2.48 inference(interpreted_simplification,[],[f2188])). 14.34/2.48 tff(f2188,plain,( 14.34/2.48 ( ! [X3 : rope1,X1 : array_rope] : ($less(length5(rope,t2tb1(X1)),1) | $less(1,1) | $less(0,0) | infix_eqeq1(string_of_array1(X1,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),t2tb(0),t2tb2(X3)))),1,1)) | ~$less(0,1)) )), 14.34/2.48 inference(instantiation,[],[f2187])). 14.34/2.48 tff(f6052,plain,( 14.34/2.48 spl52_368 | spl52_411 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6051,f2009,f1322,f1198,f974,f806,f701,f681,f5996,f5172])). 14.34/2.48 tff(f6051,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5607,f808])). 14.34/2.48 tff(f5607,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,t2tb(0)))),string_of_array1(sF14,0,0))) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f5594])). 14.34/2.48 tff(f5594,plain,( 14.34/2.48 $less(sK4,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(1,-1))))),string_of_array1(sF14,0,$sum(1,-1)))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(interpreted_simplification,[],[f5593])). 14.34/2.48 tff(f5593,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(1,-1))))),string_of_array1(sF14,0,$sum(1,-1)))) | ~$less(0,1) | $less(sK4,1) | $less(0,0) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(instantiation,[],[f2173])). 14.34/2.48 tff(f6050,plain,( 14.34/2.48 spl52_231 | spl52_147 | ~spl52_12 | ~spl52_56 | ~spl52_84 | spl52_149), 14.34/2.48 inference(avatar_split_clause,[],[f6049,f1705,f1036,f831,f611,f1697,f2832])). 14.34/2.48 tff(f6049,plain,( 14.34/2.48 sF20 = length3(sF35) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | (~spl52_12 | ~spl52_56 | ~spl52_84 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f6048,f613])). 14.34/2.48 tff(f6048,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sF20 = length3(sF35) | (~spl52_56 | ~spl52_84 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f6047,f1038])). 14.34/2.48 tff(f6047,plain,( 14.34/2.48 sF20 = length4(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_56 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f4549,f1706])). 14.34/2.48 tff(f4549,plain,( 14.34/2.48 emp1 = sK8 | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sF20 = length4(sK8) | ~spl52_56), 14.34/2.48 inference(superposition,[],[f833,f1659])). 14.34/2.48 tff(f6046,plain,( 14.34/2.48 spl52_147 | spl52_231 | ~spl52_12 | ~spl52_56 | ~spl52_84 | spl52_149), 14.34/2.48 inference(avatar_split_clause,[],[f6045,f1705,f1036,f831,f611,f2832,f1697])). 14.34/2.48 tff(f6045,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | sF20 = length3(sF35) | (~spl52_12 | ~spl52_56 | ~spl52_84 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f6044,f613])). 14.34/2.48 tff(f6044,plain,( 14.34/2.48 sF20 = length3(sF35) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_56 | ~spl52_84 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f4559,f1038])). 14.34/2.48 tff(f4559,plain,( 14.34/2.48 sF20 = length4(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_56 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f4544,f1706])). 14.34/2.48 tff(f4544,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | emp1 = sK8 | sF20 = length4(sK8) | ~spl52_56), 14.34/2.48 inference(superposition,[],[f1659,f833])). 14.34/2.48 tff(f6043,plain,( 14.34/2.48 spl52_213 | spl52_259 | spl52_215), 14.34/2.48 inference(avatar_split_clause,[],[f3782,f2708,f3311,f2695])). 14.34/2.48 tff(f3782,plain,( 14.34/2.48 $less(sF38,0) | 0 = sF38 | spl52_215), 14.34/2.48 inference(resolution,[],[f2709,f129])). 14.34/2.48 tff(f6042,plain,( 14.34/2.48 spl52_368 | spl52_417 | spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f6037,f2028,f1372,f1167,f854,f806,f681,f6039,f5172])). 14.34/2.48 tff(f6039,plain,( 14.34/2.48 spl52_417 <=> infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,sF29,sF19))),string_of_array1(sF31,0,0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_417])])). 14.34/2.48 tff(f6037,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,sF29,sF19))),string_of_array1(sF31,0,0))) | $less(sK4,1) | (spl52_26 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f6036,f683])). 14.34/2.48 tff(f6036,plain,( 14.34/2.48 $less(sK4,0) | $less(sK4,1) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,sF29,sF19))),string_of_array1(sF31,0,0))) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f6035,f2030])). 14.34/2.48 tff(f6035,plain,( 14.34/2.48 $less(sF33,0) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,sF29,sF19))),string_of_array1(sF31,0,0))) | $less(sK4,1) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5820,f1374])). 14.34/2.48 tff(f5820,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))),string_of_array1(sF31,0,0))) | $less(sF33,0) | $less(sK4,1) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5819,f2030])). 14.34/2.48 tff(f5819,plain,( 14.34/2.48 $less(sF33,1) | $less(sF33,0) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))),string_of_array1(sF31,0,0))) | (~spl52_51 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f5818,f1169])). 14.34/2.48 tff(f5818,plain,( 14.34/2.48 $less(length5(rope,sF30),0) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))),string_of_array1(sF31,0,0))) | $less(sF33,1) | (~spl52_51 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f5803,f1169])). 14.34/2.48 tff(f5803,plain,( 14.34/2.48 $less(length5(rope,sF30),1) | $less(length5(rope,sF30),0) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))),string_of_array1(sF31,0,0))) | (~spl52_51 | ~spl52_60)), 14.34/2.48 inference(superposition,[],[f2180,f856])). 14.34/2.48 tff(f6034,plain,( 14.34/2.48 spl52_370 | spl52_368 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6033,f2009,f1322,f1198,f974,f806,f701,f5172,f5184])). 14.34/2.48 tff(f5184,plain,( 14.34/2.48 spl52_370 <=> infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,sF19)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_370])])). 14.34/2.48 tff(f6033,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK4,1) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5301,f808])). 14.34/2.48 tff(f5301,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | $less(sK4,1) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f5287])). 14.34/2.48 tff(f5287,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,$sum(0,1),1),string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | $less(sK4,1) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(interpreted_simplification,[],[f5286])). 14.34/2.48 tff(f5286,plain,( 14.34/2.48 $less(sK4,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,$sum(0,1),1),string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | ~$less(0,1) | $less(0,0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(instantiation,[],[f2080])). 14.34/2.48 tff(f2080,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string_of_array1(sF14,$sum(X1,1),X0),string3(tb2t2(get(rope,int,sF12,t2tb(X1)))))) | ~$less(X1,X0) | $less(X1,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2079,f2011])). 14.34/2.48 tff(f2079,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string_of_array1(sF14,$sum(X1,1),X0),string3(tb2t2(get(rope,int,sF12,t2tb(X1)))))) | $less(sF16,X0) | ~$less(X1,X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f2078,f1200])). 14.34/2.48 tff(f2078,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | ~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string_of_array1(sF14,$sum(X1,1),X0),string3(tb2t2(get(rope,int,sF12,t2tb(X1)))))) | $less(length5(rope,sF13),X0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f2077,f976])). 14.34/2.48 tff(f2077,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(length5(rope,sF15),X0) | $less(X1,0) | ~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string_of_array1(sF14,$sum(X1,1),X0),string3(tb2t2(get(rope,int,sF12,t2tb(X1))))))) ) | (~spl52_30 | ~spl52_77 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f2076,f1324])). 14.34/2.48 tff(f2076,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string_of_array1(sF14,$sum(X1,1),X0),string3(tb2t2(get(rope,int,elts(rope,sF13),t2tb(X1)))))) | $less(length5(rope,sF15),X0) | $less(X1,0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f2073,f976])). 14.34/2.48 tff(f2073,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | ~$less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X1,X0),app2(string_of_array1(sF14,$sum(X1,1),X0),string3(tb2t2(get(rope,int,elts(rope,sF15),t2tb(X1)))))) | $less(length5(rope,sF15),X0)) ) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f499,f703])). 14.34/2.48 tff(f6032,plain,( 14.34/2.48 spl52_368 | ~spl52_415 | spl52_416 | spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6023,f2009,f1322,f1198,f974,f806,f701,f681,f6029,f6025,f5172])). 14.34/2.48 tff(f6029,plain,( 14.34/2.48 spl52_416 <=> $less(sK1(0,sF14,1),1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_416])])). 14.34/2.48 tff(f6023,plain,( 14.34/2.48 ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK1(0,sF14,1),1) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5822,f808])). 14.34/2.48 tff(f5822,plain,( 14.34/2.48 $less(sK4,1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | $less(sK1(0,sF14,1),1) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(interpreted_simplification,[],[f5821])). 14.34/2.48 tff(f5821,plain,( 14.34/2.48 $less(sK1(0,sF14,1),1) | $less(0,0) | $less(0,0) | ~$less(0,1) | ~$less(length3(string_of_array1(sF14,0,1)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(0)))))) | $less(sK4,1) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(instantiation,[],[f2248])). 14.34/2.48 tff(f6022,plain,( 14.34/2.48 spl52_147 | ~spl52_228 | ~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_149), 14.34/2.48 inference(avatar_split_clause,[],[f4947,f1705,f831,f766,f611,f2819,f1697])). 14.34/2.48 tff(f4947,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | (~spl52_12 | ~spl52_43 | ~spl52_56 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f4946,f613])). 14.34/2.48 tff(f4946,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_43 | ~spl52_56 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f4945,f768])). 14.34/2.48 tff(f4945,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~inv1(sK8) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | (~spl52_56 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f4925,f1706])). 14.34/2.48 tff(f4925,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | emp1 = sK8 | ~inv1(sK8) | ~spl52_56), 14.34/2.48 inference(superposition,[],[f1663,f833])). 14.34/2.48 tff(f6021,plain,( 14.34/2.48 ~spl52_236 | spl52_316 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_238), 14.34/2.48 inference(avatar_split_clause,[],[f4138,f2909,f1362,f1128,f811,f4149,f2897])). 14.34/2.48 tff(f4149,plain,( 14.34/2.48 spl52_316 <=> inv1(app3(app_proj_11(sK8),sK6,$sum(length4(app_proj_11(sK8)),sF47)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_316])])). 14.34/2.48 tff(f4138,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK8),sK6,$sum(length4(app_proj_11(sK8)),sF47))) | ~inv1(app_proj_11(sK8)) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_238)), 14.34/2.48 inference(resolution,[],[f2911,f1827])). 14.34/2.48 tff(f6020,plain,( 14.34/2.48 spl52_414 | spl52_147 | ~spl52_12 | ~spl52_18 | spl52_149), 14.34/2.48 inference(avatar_split_clause,[],[f5002,f1705,f641,f611,f1697,f6017])). 14.34/2.48 tff(f5002,plain,( 14.34/2.48 sF21 = sF24 | sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | (~spl52_12 | ~spl52_18 | spl52_149)), 14.34/2.48 inference(forward_demodulation,[],[f5001,f613])). 14.34/2.48 tff(f5001,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sF21 = sF24 | (~spl52_18 | spl52_149)), 14.34/2.48 inference(subsumption_resolution,[],[f5000,f1706])). 14.34/2.48 tff(f5000,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | emp1 = sK8 | sF21 = sF24 | ~spl52_18), 14.34/2.48 inference(subsumption_resolution,[],[f4957,f866])). 14.34/2.48 tff(f4957,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | ~sort1(int,sF21) | emp1 = sK8 | sF21 = sF24 | ~spl52_18), 14.34/2.48 inference(superposition,[],[f1666,f643])). 14.34/2.48 tff(f6015,plain,( 14.34/2.48 spl52_412 | spl52_368 | ~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6014,f2009,f1322,f1198,f955,f806,f5172,f6003])). 14.34/2.48 tff(f6014,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6013,f2011])). 14.34/2.48 tff(f6013,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sF16,set(rope,int,sF12,sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f6012,f1200])). 14.34/2.48 tff(f6012,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,sF12,sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5689,f1324])). 14.34/2.48 tff(f5689,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),sF19,t2tb2(X0)))),1,1)) | $less(sK4,1)) ) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5688,f2011])). 14.34/2.48 tff(f5688,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sF16,1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f5677,f1200])). 14.34/2.48 tff(f5677,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(length5(rope,sF13),1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_75)), 14.34/2.48 inference(superposition,[],[f2204,f957])). 14.34/2.48 tff(f6011,plain,( 14.34/2.48 spl52_413 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_220 | ~spl52_221), 14.34/2.48 inference(avatar_split_clause,[],[f4086,f2766,f2760,f1286,f1036,f766,f6008])). 14.34/2.48 tff(f6008,plain,( 14.34/2.48 spl52_413 <=> inv1(app3(app_proj_21(sK9),sK8,$sum(length4(app_proj_21(sK9)),length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_413])])). 14.34/2.48 tff(f2760,plain,( 14.34/2.48 spl52_220 <=> inv1(app_proj_21(sK9))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_220])])). 14.34/2.48 tff(f2766,plain,( 14.34/2.48 spl52_221 <=> $less(0,length4(app_proj_21(sK9)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_221])])). 14.34/2.48 tff(f4086,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK9),sK8,$sum(length4(app_proj_21(sK9)),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_220 | ~spl52_221)), 14.34/2.48 inference(subsumption_resolution,[],[f4083,f2762])). 14.34/2.48 tff(f2762,plain,( 14.34/2.48 inv1(app_proj_21(sK9)) | ~spl52_220), 14.34/2.48 inference(avatar_component_clause,[],[f2760])). 14.34/2.48 tff(f4083,plain,( 14.34/2.48 ~inv1(app_proj_21(sK9)) | inv1(app3(app_proj_21(sK9),sK8,$sum(length4(app_proj_21(sK9)),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_221)), 14.34/2.48 inference(resolution,[],[f2768,f1825])). 14.34/2.48 tff(f2768,plain,( 14.34/2.48 $less(0,length4(app_proj_21(sK9))) | ~spl52_221), 14.34/2.48 inference(avatar_component_clause,[],[f2766])). 14.34/2.48 tff(f6005,plain,( 14.34/2.48 spl52_368 | spl52_412 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f6001,f2009,f1322,f1198,f974,f806,f701,f6003,f5172])). 14.34/2.48 tff(f6001,plain,( 14.34/2.48 ( ! [X3 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,sF19,t2tb2(X3)))),1,1))) ) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5718,f808])). 14.34/2.48 tff(f5718,plain,( 14.34/2.48 ( ! [X3 : rope1] : (infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(0),t2tb2(X3)))),1,1)) | $less(sK4,1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(interpreted_simplification,[],[f5717])). 14.34/2.48 tff(f5717,plain,( 14.34/2.48 ( ! [X3 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF14,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(0),t2tb2(X3)))),1,1)) | $less(0,0) | ~$less(0,1) | $less(1,1)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(instantiation,[],[f2211])). 14.34/2.48 tff(f5999,plain,( 14.34/2.48 spl52_411 | spl52_368 | spl52_26 | ~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5994,f2009,f1322,f1198,f955,f806,f681,f5172,f5996])). 14.34/2.48 tff(f5994,plain,( 14.34/2.48 $less(sK4,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | (spl52_26 | ~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f5993,f683])). 14.34/2.48 tff(f5993,plain,( 14.34/2.48 $less(sK4,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sK4,0) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5992,f2011])). 14.34/2.48 tff(f5992,plain,( 14.34/2.48 $less(sK4,1) | $less(sF16,0) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5817,f1200])). 14.34/2.48 tff(f5817,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sK4,1) | $less(length5(rope,sF13),0) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5816,f2011])). 14.34/2.48 tff(f5816,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | $less(sF16,1) | $less(length5(rope,sF13),0) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5815,f1200])). 14.34/2.48 tff(f5815,plain,( 14.34/2.48 $less(length5(rope,sF13),1) | $less(length5(rope,sF13),0) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,sF12,sF19))),string_of_array1(sF14,0,0))) | (~spl52_51 | ~spl52_75 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5804,f1324])). 14.34/2.48 tff(f5804,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))),string_of_array1(sF14,0,0))) | $less(length5(rope,sF13),0) | $less(length5(rope,sF13),1) | (~spl52_51 | ~spl52_75)), 14.34/2.48 inference(superposition,[],[f2180,f957])). 14.34/2.48 tff(f5991,plain,( 14.34/2.48 spl52_410 | spl52_368 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f5987,f2028,f1372,f1167,f854,f806,f5172,f5989])). 14.34/2.48 tff(f5989,plain,( 14.34/2.48 spl52_410 <=> ! [X0 : rope1] : infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF29,sF19,t2tb2(X0)))),1,1))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_410])])). 14.34/2.48 tff(f5987,plain,( 14.34/2.48 ( ! [X0 : rope1] : (infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF29,sF19,t2tb2(X0)))),1,1)) | $less(sK4,1)) ) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5986,f2030])). 14.34/2.48 tff(f5986,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,sF33,set(rope,int,sF29,sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5985,f1169])). 14.34/2.48 tff(f5985,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF30),set(rope,int,sF29,sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5687,f1374])). 14.34/2.48 tff(f5687,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sK4,1) | infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF30),set(rope,int,elts(rope,sF30),sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5686,f2030])). 14.34/2.48 tff(f5686,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(sF33,1) | infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF30),set(rope,int,elts(rope,sF30),sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f5676,f1169])). 14.34/2.48 tff(f5676,plain,( 14.34/2.48 ( ! [X0 : rope1] : ($less(length5(rope,sF30),1) | infix_eqeq1(string_of_array1(sF31,1,1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF30),set(rope,int,elts(rope,sF30),sF19,t2tb2(X0)))),1,1))) ) | (~spl52_51 | ~spl52_60)), 14.34/2.48 inference(superposition,[],[f2204,f856])). 14.34/2.48 tff(f5983,plain,( 14.34/2.48 ~spl52_237 | spl52_409 | ~spl52_240), 14.34/2.48 inference(avatar_split_clause,[],[f5864,f2921,f5981,f2903])). 14.34/2.48 tff(f5981,plain,( 14.34/2.48 spl52_409 <=> ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | inv1(app3(app_proj_21(sK8),str1(X0,X1,X2),$sum(length4(app_proj_21(sK8)),X2))) | ~$less(X1,length3(X0)) | ~$less(0,X2) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_409])])). 14.34/2.48 tff(f2921,plain,( 14.34/2.48 spl52_240 <=> inv1(app_proj_21(sK8))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_240])])). 14.34/2.48 tff(f5864,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(0,length4(app_proj_21(sK8))) | $less(X1,0) | ~$less(0,X2) | ~$less(X1,length3(X0)) | inv1(app3(app_proj_21(sK8),str1(X0,X1,X2),$sum(length4(app_proj_21(sK8)),X2)))) ) | ~spl52_240), 14.34/2.48 inference(resolution,[],[f1830,f2923])). 14.34/2.48 tff(f2923,plain,( 14.34/2.48 inv1(app_proj_21(sK8)) | ~spl52_240), 14.34/2.48 inference(avatar_component_clause,[],[f2921])). 14.34/2.48 tff(f5979,plain,( 14.34/2.48 spl52_408 | spl52_94 | spl52_23), 14.34/2.48 inference(avatar_split_clause,[],[f3293,f666,f1097,f5977])). 14.34/2.48 tff(f1097,plain,( 14.34/2.48 spl52_94 <=> 2 = max3), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_94])])). 14.34/2.48 tff(f666,plain,( 14.34/2.48 spl52_23 <=> $less(max3,2)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_23])])). 14.34/2.48 tff(f3293,plain,( 14.34/2.48 ( ! [X0 : $int] : (2 = max3 | $less(X0,max3) | ~$less(X0,2)) ) | spl52_23), 14.34/2.48 inference(resolution,[],[f1052,f668])). 14.34/2.48 tff(f668,plain,( 14.34/2.48 ~$less(max3,2) | spl52_23), 14.34/2.48 inference(avatar_component_clause,[],[f666])). 14.34/2.48 tff(f5975,plain,( 14.34/2.48 spl52_406 | spl52_407 | ~spl52_17 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5831,f2009,f1322,f1198,f974,f701,f681,f636,f5972,f5969])). 14.34/2.48 tff(f5969,plain,( 14.34/2.48 spl52_406 <=> ! [X0 : $int,X1 : $int] : ($less(sK1(X1,sF14,sF51),sF28) | ~$less(length3(string_of_array1(sF14,X1,sF51)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | ~$less(X0,sF51) | $less(X0,X1) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_406])])). 14.34/2.48 tff(f5831,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(sK4,sF51) | $less(sK1(X1,sF14,sF51),sF28) | $less(X1,0) | $less(X0,X1) | ~$less(X0,sF51) | ~$less(length3(string_of_array1(sF14,X1,sF51)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (~spl52_17 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f2248,f1048])). 14.34/2.48 tff(f5967,plain,( 14.34/2.48 spl52_405 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_224 | ~spl52_225), 14.34/2.48 inference(avatar_split_clause,[],[f4108,f2789,f2783,f1286,f1036,f766,f5964])). 14.34/2.48 tff(f5964,plain,( 14.34/2.48 spl52_405 <=> inv1(app3(app_proj_11(sK9),sK8,$sum(length4(app_proj_11(sK9)),length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_405])])). 14.34/2.48 tff(f2783,plain,( 14.34/2.48 spl52_224 <=> inv1(app_proj_11(sK9))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_224])])). 14.34/2.48 tff(f2789,plain,( 14.34/2.48 spl52_225 <=> $less(0,length4(app_proj_11(sK9)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_225])])). 14.34/2.48 tff(f4108,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK9),sK8,$sum(length4(app_proj_11(sK9)),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_224 | ~spl52_225)), 14.34/2.48 inference(subsumption_resolution,[],[f4105,f2785])). 14.34/2.48 tff(f2785,plain,( 14.34/2.48 inv1(app_proj_11(sK9)) | ~spl52_224), 14.34/2.48 inference(avatar_component_clause,[],[f2783])). 14.34/2.48 tff(f4105,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK9),sK8,$sum(length4(app_proj_11(sK9)),length3(sF35)))) | ~inv1(app_proj_11(sK9)) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_225)), 14.34/2.48 inference(resolution,[],[f2791,f1825])). 14.34/2.48 tff(f2791,plain,( 14.34/2.48 $less(0,length4(app_proj_11(sK9))) | ~spl52_225), 14.34/2.48 inference(avatar_component_clause,[],[f2789])). 14.34/2.48 tff(f5962,plain,( 14.34/2.48 spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_304), 14.34/2.48 inference(avatar_contradiction_clause,[],[f5961])). 14.34/2.48 tff(f5961,plain,( 14.34/2.48 $false | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_304)), 14.34/2.48 inference(subsumption_resolution,[],[f5960,f683])). 14.34/2.48 tff(f5960,plain,( 14.34/2.48 $less(sK4,0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5959,f2011])). 14.34/2.48 tff(f5959,plain,( 14.34/2.48 $less(sF16,0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5958,f1200])). 14.34/2.48 tff(f5958,plain,( 14.34/2.48 $less(length5(rope,sF13),0) | (~spl52_30 | ~spl52_77 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5949,f976])). 14.34/2.48 tff(f5949,plain,( 14.34/2.48 $less(length5(rope,sF15),0) | (~spl52_30 | ~spl52_304)), 14.34/2.48 inference(superposition,[],[f3974,f703])). 14.34/2.48 tff(f3974,plain,( 14.34/2.48 ( ! [X0 : array_rope] : ($less(length5(rope,t2tb1(X0)),0)) ) | ~spl52_304), 14.34/2.48 inference(avatar_component_clause,[],[f3973])). 14.34/2.48 tff(f3973,plain,( 14.34/2.48 spl52_304 <=> ! [X0 : array_rope] : $less(length5(rope,t2tb1(X0)),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_304])])). 14.34/2.48 tff(f5957,plain,( 14.34/2.48 spl52_26 | ~spl52_75 | ~spl52_105 | ~spl52_173 | ~spl52_304), 14.34/2.48 inference(avatar_contradiction_clause,[],[f5956])). 14.34/2.48 tff(f5956,plain,( 14.34/2.48 $false | (spl52_26 | ~spl52_75 | ~spl52_105 | ~spl52_173 | ~spl52_304)), 14.34/2.48 inference(subsumption_resolution,[],[f5955,f683])). 14.34/2.48 tff(f5955,plain,( 14.34/2.48 $less(sK4,0) | (~spl52_75 | ~spl52_105 | ~spl52_173 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5954,f2011])). 14.34/2.48 tff(f5954,plain,( 14.34/2.48 $less(sF16,0) | (~spl52_75 | ~spl52_105 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5948,f1200])). 14.34/2.48 tff(f5948,plain,( 14.34/2.48 $less(length5(rope,sF13),0) | (~spl52_75 | ~spl52_304)), 14.34/2.48 inference(superposition,[],[f3974,f957])). 14.34/2.48 tff(f5953,plain,( 14.34/2.48 spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_175 | ~spl52_304), 14.34/2.48 inference(avatar_contradiction_clause,[],[f5952])). 14.34/2.48 tff(f5952,plain,( 14.34/2.48 $false | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_175 | ~spl52_304)), 14.34/2.48 inference(subsumption_resolution,[],[f5951,f683])). 14.34/2.48 tff(f5951,plain,( 14.34/2.48 $less(sK4,0) | (~spl52_60 | ~spl52_101 | ~spl52_175 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5950,f2030])). 14.34/2.48 tff(f5950,plain,( 14.34/2.48 $less(sF33,0) | (~spl52_60 | ~spl52_101 | ~spl52_304)), 14.34/2.48 inference(forward_demodulation,[],[f5947,f1169])). 14.34/2.48 tff(f5947,plain,( 14.34/2.48 $less(length5(rope,sF30),0) | (~spl52_60 | ~spl52_304)), 14.34/2.48 inference(superposition,[],[f3974,f856])). 14.34/2.48 tff(f5906,plain,( 14.34/2.48 ~spl52_194 | spl52_404 | ~spl52_122), 14.34/2.48 inference(avatar_split_clause,[],[f5866,f1344,f5904,f2523])). 14.34/2.48 tff(f5904,plain,( 14.34/2.48 spl52_404 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),X2))) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_404])])). 14.34/2.48 tff(f5866,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(X1,length3(X0)) | $less(X1,0) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,X2) | ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(2))))) | inv1(app3(tb2t2(get(rope,int,sF12,t2tb(2))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(2)))),X2)))) ) | ~spl52_122), 14.34/2.48 inference(resolution,[],[f1830,f1346])). 14.34/2.48 tff(f5899,plain,( 14.34/2.48 spl52_403 | ~spl52_204 | ~spl52_157), 14.34/2.48 inference(avatar_split_clause,[],[f5869,f1795,f2590,f5897])). 14.34/2.48 tff(f5897,plain,( 14.34/2.48 spl52_403 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),X2))) | $less(X1,0) | $less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | ~$less(0,X2))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_403])])). 14.34/2.48 tff(f5869,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : string2,X1 : $int] : (~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(max3))))) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(max3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(max3)))),X2))) | ~$less(0,X2) | ~$less(X1,length3(X0)) | $less(length3(X0),$sum(X1,X2)) | $less(X1,0)) ) | ~spl52_157), 14.34/2.48 inference(resolution,[],[f1830,f1797])). 14.34/2.48 tff(f5884,plain,( 14.34/2.48 spl52_402 | ~spl52_198 | ~spl52_127), 14.34/2.48 inference(avatar_split_clause,[],[f5867,f1396,f2543,f5882])). 14.34/2.48 tff(f5882,plain,( 14.34/2.48 spl52_402 <=> ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | ~$less(X1,length3(X0)) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),X2))) | ~$less(0,X2) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_402])])). 14.34/2.48 tff(f5867,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : string2,X1 : $int] : ($less(length3(X0),$sum(X1,X2)) | $less(X1,0) | ~$less(0,X2) | inv1(app3(tb2t2(get(rope,int,sF29,t2tb(2))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF29,t2tb(2)))),X2))) | ~$less(X1,length3(X0)) | ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(2)))))) ) | ~spl52_127), 14.34/2.48 inference(resolution,[],[f1830,f1398])). 14.34/2.48 tff(f5877,plain,( 14.34/2.48 ~spl52_202 | spl52_401 | ~spl52_155), 14.34/2.48 inference(avatar_split_clause,[],[f5868,f1764,f5875,f2578])). 14.34/2.48 tff(f2578,plain,( 14.34/2.48 spl52_202 <=> $less(0,length4(tb2t2(get(rope,int,sF12,t2tb(max3)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_202])])). 14.34/2.48 tff(f5875,plain,( 14.34/2.48 spl52_401 <=> ! [X2 : $int,X0 : string2,X1 : $int] : (inv1(app3(tb2t2(get(rope,int,sF12,t2tb(max3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(max3)))),X2))) | ~$less(X1,length3(X0)) | ~$less(0,X2) | $less(length3(X0),$sum(X1,X2)) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_401])])). 14.34/2.48 tff(f1764,plain,( 14.34/2.48 spl52_155 <=> inv1(tb2t2(get(rope,int,sF12,t2tb(max3))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_155])])). 14.34/2.48 tff(f5868,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : string2,X1 : $int] : (inv1(app3(tb2t2(get(rope,int,sF12,t2tb(max3))),str1(X0,X1,X2),$sum(length4(tb2t2(get(rope,int,sF12,t2tb(max3)))),X2))) | $less(X1,0) | ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(max3))))) | $less(length3(X0),$sum(X1,X2)) | ~$less(0,X2) | ~$less(X1,length3(X0))) ) | ~spl52_155), 14.34/2.48 inference(resolution,[],[f1830,f1766])). 14.34/2.48 tff(f1766,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(max3)))) | ~spl52_155), 14.34/2.48 inference(avatar_component_clause,[],[f1764])). 14.34/2.48 tff(f5850,plain,( 14.34/2.48 spl52_399 | spl52_400 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_182), 14.34/2.48 inference(avatar_split_clause,[],[f5827,f2259,f2009,f1322,f1198,f974,f701,f681,f5847,f5844])). 14.34/2.48 tff(f5844,plain,( 14.34/2.48 spl52_399 <=> ! [X0 : $int,X1 : $int] : ($less(X0,X1) | ~$less(X0,max3) | $less(sK1(X1,sF14,max3),sK4) | $less(X1,0) | ~$less(length3(string_of_array1(sF14,X1,max3)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_399])])). 14.34/2.48 tff(f5847,plain,( 14.34/2.48 spl52_400 <=> $less(sK4,max3)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_400])])). 14.34/2.48 tff(f5827,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | ~$less(length3(string_of_array1(sF14,X1,max3)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(X1,0) | $less(sK1(X1,sF14,max3),sK4) | $less(sK4,max3) | ~$less(X0,max3)) ) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_182)), 14.34/2.48 inference(resolution,[],[f2248,f2310])). 14.34/2.48 tff(f2310,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,max3) | $less(X0,sK4)) ) | ~spl52_182), 14.34/2.48 inference(resolution,[],[f2261,f128])). 14.34/2.48 tff(f5841,plain,( 14.34/2.48 spl52_397 | spl52_398 | spl52_26 | ~spl52_30 | ~spl52_39 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5830,f2009,f1322,f1198,f974,f746,f701,f681,f5838,f5835])). 14.34/2.48 tff(f5835,plain,( 14.34/2.48 spl52_397 <=> ! [X0 : $int,X1 : $int] : ($less(X1,0) | ~$less(length3(string_of_array1(sF14,X1,sF26)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0)))))) | $less(sK1(X1,sF14,sF26),sF28) | ~$less(X0,sF26) | $less(X0,X1))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_397])])). 14.34/2.48 tff(f5830,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | ~$less(X0,sF26) | $less(sK1(X1,sF14,sF26),sF28) | $less(X0,X1) | $less(sK4,sF26) | ~$less(length3(string_of_array1(sF14,X1,sF26)),length3(string3(tb2t2(get(rope,int,sF12,t2tb(X0))))))) ) | (spl52_26 | ~spl52_30 | ~spl52_39 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f2248,f1049])). 14.34/2.48 tff(f5771,plain,( 14.34/2.48 spl52_396 | spl52_394 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_172 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5755,f2009,f1995,f1322,f1198,f974,f701,f5761,f5769])). 14.34/2.48 tff(f5761,plain,( 14.34/2.48 spl52_394 <=> ! [X2 : rope1,X0 : $int,X1 : $int] : ($less(sK4,X0) | $less(X0,X1) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(sK4),t2tb2(X2)))),X1,X0)) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_394])])). 14.34/2.48 tff(f5755,plain,( 14.34/2.48 ( ! [X2 : rope1,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : ($less(X0,X1) | $less(sK4,X0) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(sK4),t2tb2(X2)))),X1,X0)) | $less(sK4,X4) | $less(X3,0) | infix_eqeq1(string_of_array1(sF14,X3,sK4),app2(string_of_array1(sF14,X4,sK4),string_of_array1(sF14,X3,X4))) | $less(X4,X3)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_172 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f2365,f5147])). 14.34/2.48 tff(f2365,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (~$less(X0,sK4) | $less(X0,X1) | $less(X2,0) | infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X1,X2)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2364,f2011])). 14.34/2.48 tff(f2364,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X1,X2) | $less(X0,X1) | $less(X2,0) | ~$less(X0,sF16)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2363,f2011])). 14.34/2.48 tff(f2363,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,sF16,set(rope,int,sF12,t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X2,0) | $less(X0,X1) | $less(X1,X2) | ~$less(X0,sF16)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f2362,f1200])). 14.34/2.48 tff(f2362,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,sF12,t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X0,X1) | ~$less(X0,sF16) | $less(X2,0) | $less(X1,X2)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f2361,f1324])). 14.34/2.48 tff(f2361,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(X1,X2) | $less(X2,0) | $less(X0,X1) | infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X0),t2tb2(X3)))),X2,X1)) | ~$less(X0,sF16)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f2360,f1200])). 14.34/2.48 tff(f2360,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(X1,X2) | $less(X0,X1) | ~$less(X0,length5(rope,sF13)) | infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X2,0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f2359,f976])). 14.34/2.48 tff(f2359,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X2,0) | ~$less(X0,length5(rope,sF15)) | infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF13),set(rope,int,elts(rope,sF13),t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X1,X2)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f2353,f976])). 14.34/2.48 tff(f2353,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X2,X1),string_of_array1(tb2t1(mk_array1(rope,length5(rope,sF15),set(rope,int,elts(rope,sF15),t2tb(X0),t2tb2(X3)))),X2,X1)) | $less(X0,X1) | ~$less(X0,length5(rope,sF15)) | $less(X2,0) | $less(X1,X2)) ) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f2292,f703])). 14.34/2.48 tff(f2292,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : array_rope,X4 : $int] : (~$less(X4,length5(rope,t2tb1(X1))) | $less(X4,X0) | $less(X0,X2) | $less(X2,0) | infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),t2tb(X4),t2tb2(X3)))),X2,X0))) )), 14.34/2.48 inference(subsumption_resolution,[],[f497,f128])). 14.34/2.48 tff(f497,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : array_rope,X4 : $int] : ($less(length5(rope,t2tb1(X1)),X0) | $less(X2,0) | ~$less(X4,length5(rope,t2tb1(X1))) | $less(X0,X2) | infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(mk_array1(rope,length5(rope,t2tb1(X1)),set(rope,int,elts(rope,t2tb1(X1)),t2tb(X4),t2tb2(X3)))),X2,X0)) | $less(X4,X0)) )), 14.34/2.48 inference(definition_unfolding,[],[f472,f418])). 14.34/2.48 tff(f472,plain,( 14.34/2.48 ( ! [X2 : $int,X3 : rope1,X0 : $int,X1 : array_rope,X4 : $int] : (infix_eqeq1(string_of_array1(X1,X2,X0),string_of_array1(tb2t1(set2(rope,t2tb1(X1),X4,t2tb2(X3))),X2,X0)) | ~$less(X4,length5(rope,t2tb1(X1))) | $less(X4,X0) | $less(X2,0) | $less(length5(rope,t2tb1(X1)),X0) | $less(X0,X2)) )), 14.34/2.48 inference(cnf_transformation,[],[f340])). 14.34/2.48 tff(f5767,plain,( 14.34/2.48 spl52_395 | spl52_394 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5753,f2009,f1322,f1198,f974,f701,f5761,f5765])). 14.34/2.48 tff(f5753,plain,( 14.34/2.48 ( ! [X2 : rope1,X3 : $int,X0 : $int,X1 : $int,X4 : $int,X5 : rope1] : (infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(sK4),t2tb2(X2)))),X1,X0)) | $less(X1,0) | $less(sK4,X3) | $less(X0,X1) | $less(sK4,X0) | ~$less(X4,X3) | $less(X4,0) | infix_eqeq1(string_of_array1(sF14,X3,sK4),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(X4),t2tb2(X5)))),X3,sK4))) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f2365,f2211])). 14.34/2.48 tff(f5763,plain,( 14.34/2.48 spl52_393 | spl52_394 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5754,f2009,f1322,f1198,f974,f701,f5761,f5758])). 14.34/2.48 tff(f5754,plain,( 14.34/2.48 ( ! [X2 : rope1,X3 : $int,X0 : $int,X1 : $int] : ($less(sK4,X0) | infix_eqeq1(string_of_array1(sF14,X3,sK4),app2(string_of_array1(sF14,$sum(X3,1),sK4),string3(tb2t2(get(rope,int,sF12,t2tb(X3)))))) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X0),string_of_array1(tb2t1(mk_array1(rope,sK4,set(rope,int,sF12,t2tb(sK4),t2tb2(X2)))),X1,X0)) | ~$less(X3,sK4) | $less(X0,X1) | $less(X3,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f2365,f2080])). 14.34/2.48 tff(f5673,plain,( 14.34/2.48 spl52_392 | spl52_390 | spl52_381), 14.34/2.48 inference(avatar_split_clause,[],[f5660,f5387,f5662,f5670])). 14.34/2.48 tff(f5660,plain,( 14.34/2.48 $less(0,$sum(sF22,sF37)) | 0 = $sum(sF22,sF37) | spl52_381), 14.34/2.48 inference(resolution,[],[f5389,f129])). 14.34/2.48 tff(f5668,plain,( 14.34/2.48 spl52_390 | spl52_391 | spl52_381), 14.34/2.48 inference(avatar_split_clause,[],[f5659,f5387,f5666,f5662])). 14.34/2.48 tff(f5659,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF22,sF37)) | ~$less(X0,0) | 0 = $sum(sF22,sF37)) ) | spl52_381), 14.34/2.48 inference(resolution,[],[f5389,f1052])). 14.34/2.48 tff(f5628,plain,( 14.34/2.48 spl52_389 | ~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5627,f2009,f1322,f1198,f974,f761,f701,f681,f561,f5619])). 14.34/2.48 tff(f5627,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | (~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f5626,f127])). 14.34/2.48 tff(f5626,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | $less(sK4,sK4) | (~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5625,f2011])). 14.34/2.48 tff(f5625,plain,( 14.34/2.48 $less(sK4,sF16) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | (~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5624,f2011])). 14.34/2.48 tff(f5624,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | $less(sK4,sF16) | (~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f5623,f563])). 14.34/2.48 tff(f5623,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | $less(sK4,sF16) | ~$less(2,sK4) | (spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5606,f2011])). 14.34/2.48 tff(f5606,plain,( 14.34/2.48 ~$less(2,sF16) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | $less(sK4,sF16) | (spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(evaluation,[],[f5602])). 14.34/2.48 tff(f5602,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sF16,-1))))),string_of_array1(sF14,2,$sum(sF16,-1)))) | $less(2,0) | ~$less(2,sF16) | $less(sK4,sF16) | (spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(superposition,[],[f2173,f763])). 14.34/2.48 tff(f5622,plain,( 14.34/2.48 spl52_389 | ~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174), 14.34/2.48 inference(avatar_split_clause,[],[f5617,f2017,f2009,f1322,f1198,f974,f701,f681,f561,f5619])). 14.34/2.48 tff(f5617,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | (~spl52_2 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(subsumption_resolution,[],[f5616,f563])). 14.34/2.48 tff(f5616,plain,( 14.34/2.48 infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | ~$less(2,sK4) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(subsumption_resolution,[],[f5608,f127])). 14.34/2.48 tff(f5608,plain,( 14.34/2.48 $less(sK4,sK4) | ~$less(2,sK4) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(evaluation,[],[f5603])). 14.34/2.48 tff(f5603,plain,( 14.34/2.48 $less(sK4,sK4) | ~$less(2,sK4) | $less(2,0) | infix_eqeq1(sF17,app2(string3(tb2t2(get(rope,int,sF12,t2tb($sum(sK4,-1))))),string_of_array1(sF14,2,$sum(sK4,-1)))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173 | ~spl52_174)), 14.34/2.48 inference(superposition,[],[f2173,f2019])). 14.34/2.48 tff(f5461,plain,( 14.34/2.48 spl52_386 | spl52_388 | spl52_382), 14.34/2.48 inference(avatar_split_clause,[],[f5447,f5393,f5459,f5450])). 14.34/2.48 tff(f5450,plain,( 14.34/2.48 spl52_386 <=> 0 = $sum(sF47,sF37)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_386])])). 14.34/2.48 tff(f5447,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = $sum(sF47,sF37) | ~$less(X0,0) | $less(X0,$sum(sF47,sF37))) ) | spl52_382), 14.34/2.48 inference(resolution,[],[f5395,f1052])). 14.34/2.48 tff(f5457,plain,( 14.34/2.48 spl52_386 | spl52_387 | spl52_382), 14.34/2.48 inference(avatar_split_clause,[],[f5448,f5393,f5454,f5450])). 14.34/2.48 tff(f5448,plain,( 14.34/2.48 0 = $sum(sF47,sF37) | $less(0,$sum(sF47,sF37)) | spl52_382), 14.34/2.48 inference(resolution,[],[f5395,f129])). 14.34/2.48 tff(f5411,plain,( 14.34/2.48 spl52_385 | spl52_384 | spl52_380), 14.34/2.48 inference(avatar_split_clause,[],[f5398,f5382,f5403,f5408])). 14.34/2.48 tff(f5403,plain,( 14.34/2.48 spl52_384 <=> 0 = $sum(sF40,sF37)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_384])])). 14.34/2.48 tff(f5398,plain,( 14.34/2.48 $less(0,$sum(sF40,sF37)) | 0 = $sum(sF40,sF37) | spl52_380), 14.34/2.48 inference(resolution,[],[f5384,f129])). 14.34/2.48 tff(f5406,plain,( 14.34/2.48 spl52_383 | spl52_384 | spl52_380), 14.34/2.48 inference(avatar_split_clause,[],[f5397,f5382,f5403,f5400])). 14.34/2.48 tff(f5397,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF40,sF37)) | ~$less(X0,0) | 0 = $sum(sF40,sF37)) ) | spl52_380), 14.34/2.48 inference(resolution,[],[f5384,f1052])). 14.34/2.48 tff(f5396,plain,( 14.34/2.48 ~spl52_382 | ~spl52_8 | ~spl52_83 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f5391,f1362,f1028,f591,f5393])). 14.34/2.48 tff(f5391,plain,( 14.34/2.48 ~$less($sum(sF47,sF37),0) | (~spl52_8 | ~spl52_83 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f5368,f1364])). 14.34/2.48 tff(f5368,plain,( 14.34/2.48 ~$less($sum(length4(sK6),sF37),0) | (~spl52_8 | ~spl52_83)), 14.34/2.48 inference(superposition,[],[f3063,f1030])). 14.34/2.48 tff(f5390,plain,( 14.34/2.48 ~spl52_381 | ~spl52_8 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f5376,f3012,f591,f5387])). 14.34/2.48 tff(f3012,plain,( 14.34/2.48 spl52_249 <=> sF22 = length3(sF35)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_249])])). 14.34/2.48 tff(f5376,plain,( 14.34/2.48 ~$less($sum(sF22,sF37),0) | (~spl52_8 | ~spl52_249)), 14.34/2.48 inference(superposition,[],[f3063,f3014])). 14.34/2.48 tff(f3014,plain,( 14.34/2.48 sF22 = length3(sF35) | ~spl52_249), 14.34/2.48 inference(avatar_component_clause,[],[f3012])). 14.34/2.48 tff(f5385,plain,( 14.34/2.48 ~spl52_380 | ~spl52_8 | ~spl52_117 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f5380,f2777,f1297,f591,f5382])). 14.34/2.48 tff(f5380,plain,( 14.34/2.48 ~$less($sum(sF40,sF37),0) | (~spl52_8 | ~spl52_117 | ~spl52_223)), 14.34/2.48 inference(forward_demodulation,[],[f5369,f2779])). 14.34/2.48 tff(f5369,plain,( 14.34/2.48 ~$less($sum(length4(sK9),sF37),0) | (~spl52_8 | ~spl52_117)), 14.34/2.48 inference(superposition,[],[f3063,f1299])). 14.34/2.48 tff(f5357,plain,( 14.34/2.48 spl52_379 | spl52_377 | spl52_363), 14.34/2.48 inference(avatar_split_clause,[],[f5343,f5137,f5346,f5355])). 14.34/2.48 tff(f5343,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF22,sF18)) | 0 = $sum(sF22,sF18)) ) | spl52_363), 14.34/2.48 inference(resolution,[],[f5139,f1052])). 14.34/2.48 tff(f5353,plain,( 14.34/2.48 spl52_377 | spl52_378 | spl52_363), 14.34/2.48 inference(avatar_split_clause,[],[f5344,f5137,f5350,f5346])). 14.34/2.48 tff(f5344,plain,( 14.34/2.48 0 = $sum(sF22,sF18) | $less(0,$sum(sF22,sF18)) | spl52_363), 14.34/2.48 inference(resolution,[],[f5139,f129])). 14.34/2.48 tff(f5248,plain,( 14.34/2.48 spl52_375 | spl52_376 | spl52_364), 14.34/2.48 inference(avatar_split_clause,[],[f5235,f5143,f5245,f5240])). 14.34/2.48 tff(f5240,plain,( 14.34/2.48 spl52_375 <=> 0 = $sum(sF40,sF18)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_375])])). 14.34/2.48 tff(f5143,plain,( 14.34/2.48 spl52_364 <=> $less($sum(sF40,sF18),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_364])])). 14.34/2.48 tff(f5235,plain,( 14.34/2.48 0 = $sum(sF40,sF18) | $less(0,$sum(sF40,sF18)) | spl52_364), 14.34/2.48 inference(resolution,[],[f5145,f129])). 14.34/2.48 tff(f5145,plain,( 14.34/2.48 ~$less($sum(sF40,sF18),0) | spl52_364), 14.34/2.48 inference(avatar_component_clause,[],[f5143])). 14.34/2.48 tff(f5243,plain,( 14.34/2.48 spl52_374 | spl52_375 | spl52_364), 14.34/2.48 inference(avatar_split_clause,[],[f5234,f5143,f5240,f5237])). 14.34/2.48 tff(f5234,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF40,sF18)) | 0 = $sum(sF40,sF18) | ~$less(X0,0)) ) | spl52_364), 14.34/2.48 inference(resolution,[],[f5145,f1052])). 14.34/2.48 tff(f5232,plain,( 14.34/2.48 spl52_373 | spl52_372 | ~spl52_39 | ~spl52_172 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5207,f2009,f1995,f746,f5224,f5230])). 14.34/2.48 tff(f5230,plain,( 14.34/2.48 spl52_373 <=> ! [X0 : $int,X1 : $int] : ($less(X0,0) | infix_eqeq1(string_of_array1(sF14,X0,sF26),app2(string_of_array1(sF14,X1,sF26),string_of_array1(sF14,X0,X1))) | $less(sF26,X1) | $less(X1,X0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_373])])). 14.34/2.48 tff(f5207,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | $less(sF26,X1) | $less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X0,sF26),app2(string_of_array1(sF14,X1,sF26),string_of_array1(sF14,X0,X1))) | $less(sK4,sF28)) ) | (~spl52_39 | ~spl52_172 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f5147,f1049])). 14.34/2.48 tff(f5227,plain,( 14.34/2.48 spl52_371 | spl52_372 | ~spl52_17 | ~spl52_172 | ~spl52_173 | ~spl52_327), 14.34/2.48 inference(avatar_split_clause,[],[f5219,f4425,f2009,f1995,f636,f5224,f5221])). 14.34/2.48 tff(f5221,plain,( 14.34/2.48 spl52_371 <=> ! [X0 : $int,X1 : $int] : ($less(0,X1) | infix_eqeq1(string_of_array1(sF14,X0,0),app2(string_of_array1(sF14,X1,0),string_of_array1(sF14,X0,X1))) | $less(X1,X0) | $less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_371])])). 14.34/2.48 tff(f4425,plain,( 14.34/2.48 spl52_327 <=> 0 = sF51), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_327])])). 14.34/2.48 tff(f5219,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(0,X1) | $less(X0,0) | $less(X1,X0) | $less(sK4,sF28) | infix_eqeq1(string_of_array1(sF14,X0,0),app2(string_of_array1(sF14,X1,0),string_of_array1(sF14,X0,X1)))) ) | (~spl52_17 | ~spl52_172 | ~spl52_173 | ~spl52_327)), 14.34/2.48 inference(forward_demodulation,[],[f5218,f4427])). 14.34/2.48 tff(f4427,plain,( 14.34/2.48 0 = sF51 | ~spl52_327), 14.34/2.48 inference(avatar_component_clause,[],[f4425])). 14.34/2.48 tff(f5218,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(sF51,X1) | $less(X0,0) | $less(X1,X0) | infix_eqeq1(string_of_array1(sF14,X0,0),app2(string_of_array1(sF14,X1,0),string_of_array1(sF14,X0,X1))) | $less(sK4,sF28)) ) | (~spl52_17 | ~spl52_172 | ~spl52_173 | ~spl52_327)), 14.34/2.48 inference(forward_demodulation,[],[f5208,f4427])). 14.34/2.48 tff(f5208,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(sK4,sF28) | $less(sF51,X1) | infix_eqeq1(string_of_array1(sF14,X0,sF51),app2(string_of_array1(sF14,X1,sF51),string_of_array1(sF14,X0,X1))) | $less(X1,X0) | $less(X0,0)) ) | (~spl52_17 | ~spl52_172 | ~spl52_173)), 14.34/2.48 inference(resolution,[],[f5147,f1048])). 14.34/2.48 tff(f5216,plain,( 14.34/2.48 spl52_357 | spl52_26 | ~spl52_172 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5215,f2009,f1995,f681,f4882])). 14.34/2.48 tff(f4882,plain,( 14.34/2.48 spl52_357 <=> infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_357])])). 14.34/2.48 tff(f5215,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | (spl52_26 | ~spl52_172 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f5196,f683])). 14.34/2.48 tff(f5196,plain,( 14.34/2.48 $less(sK4,0) | infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | (~spl52_172 | ~spl52_173)), 14.34/2.48 inference(interpreted_simplification,[],[f5195])). 14.34/2.48 tff(f5195,plain,( 14.34/2.48 $less(sK4,0) | $less(0,0) | $less(0,0) | infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | $less(0,0) | (~spl52_172 | ~spl52_173)), 14.34/2.48 inference(instantiation,[],[f5147])). 14.34/2.48 tff(f5193,plain,( 14.34/2.48 spl52_368 | spl52_370 | ~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5192,f2009,f1322,f1198,f974,f806,f701,f5184,f5172])). 14.34/2.48 tff(f5192,plain,( 14.34/2.48 $less(sK4,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5191,f2011])). 14.34/2.48 tff(f5191,plain,( 14.34/2.48 $less(sF16,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5190,f1324])). 14.34/2.48 tff(f5190,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | $less(sF16,1) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f5189,f976])). 14.34/2.48 tff(f5189,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))))) | $less(sF16,1) | (~spl52_30 | ~spl52_51 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f5188,f1200])). 14.34/2.48 tff(f5188,plain,( 14.34/2.48 $less(length5(rope,sF13),1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))))) | (~spl52_30 | ~spl52_51 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f5167,f976])). 14.34/2.48 tff(f5167,plain,( 14.34/2.48 $less(length5(rope,sF15),1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,elts(rope,sF15),sF19))))) | (~spl52_30 | ~spl52_51)), 14.34/2.48 inference(superposition,[],[f2075,f703])). 14.34/2.48 tff(f2075,plain,( 14.34/2.48 ( ! [X0 : array_rope] : ($less(length5(rope,t2tb1(X0)),1) | infix_eqeq1(string_of_array1(X0,0,1),app2(string_of_array1(X0,1,1),string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),sF19)))))) ) | ~spl52_51), 14.34/2.48 inference(forward_demodulation,[],[f2074,f808])). 14.34/2.48 tff(f2074,plain,( 14.34/2.48 ( ! [X0 : array_rope] : (infix_eqeq1(string_of_array1(X0,0,1),app2(string_of_array1(X0,1,1),string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(0)))))) | $less(length5(rope,t2tb1(X0)),1)) )), 14.34/2.48 inference(evaluation,[],[f2060])). 14.34/2.48 tff(f2060,plain,( 14.34/2.48 ( ! [X0 : array_rope] : ($less(length5(rope,t2tb1(X0)),1) | infix_eqeq1(string_of_array1(X0,0,1),app2(string_of_array1(X0,$sum(0,1),1),string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(0))))))) )), 14.34/2.48 inference(interpreted_simplification,[],[f2059])). 14.34/2.48 tff(f2059,plain,( 14.34/2.48 ( ! [X0 : array_rope] : ($less(length5(rope,t2tb1(X0)),1) | infix_eqeq1(string_of_array1(X0,0,1),app2(string_of_array1(X0,$sum(0,1),1),string3(tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(0)))))) | ~$less(0,1) | $less(0,0)) )), 14.34/2.48 inference(instantiation,[],[f499])). 14.34/2.48 tff(f5187,plain,( 14.34/2.48 spl52_370 | spl52_368 | ~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f5182,f2009,f1322,f1198,f955,f806,f5172,f5184])). 14.34/2.48 tff(f5182,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,sF19))))) | $less(sK4,1) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f5181,f2011])). 14.34/2.48 tff(f5181,plain,( 14.34/2.48 $less(sF16,1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,sF12,sF19))))) | (~spl52_51 | ~spl52_75 | ~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f5180,f1324])). 14.34/2.48 tff(f5180,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | $less(sF16,1) | (~spl52_51 | ~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f5166,f1200])). 14.34/2.48 tff(f5166,plain,( 14.34/2.48 $less(length5(rope,sF13),1) | infix_eqeq1(string_of_array1(sF14,0,1),app2(string_of_array1(sF14,1,1),string3(tb2t2(get(rope,int,elts(rope,sF13),sF19))))) | (~spl52_51 | ~spl52_75)), 14.34/2.48 inference(superposition,[],[f2075,f957])). 14.34/2.48 tff(f5179,plain,( 14.34/2.48 spl52_368 | spl52_369 | ~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f5170,f2028,f1372,f1167,f854,f806,f5176,f5172])). 14.34/2.48 tff(f5176,plain,( 14.34/2.48 spl52_369 <=> infix_eqeq1(string_of_array1(sF31,0,1),app2(string_of_array1(sF31,1,1),string3(tb2t2(get(rope,int,sF29,sF19)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_369])])). 14.34/2.48 tff(f5170,plain,( 14.34/2.48 $less(sK4,1) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string_of_array1(sF31,1,1),string3(tb2t2(get(rope,int,sF29,sF19))))) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5169,f1374])). 14.34/2.48 tff(f5169,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,1),app2(string_of_array1(sF31,1,1),string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))))) | $less(sK4,1) | (~spl52_51 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f5168,f2030])). 14.34/2.48 tff(f5168,plain,( 14.34/2.48 $less(sF33,1) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string_of_array1(sF31,1,1),string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))))) | (~spl52_51 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f5165,f1169])). 14.34/2.48 tff(f5165,plain,( 14.34/2.48 $less(length5(rope,sF30),1) | infix_eqeq1(string_of_array1(sF31,0,1),app2(string_of_array1(sF31,1,1),string3(tb2t2(get(rope,int,elts(rope,sF30),sF19))))) | (~spl52_51 | ~spl52_60)), 14.34/2.48 inference(superposition,[],[f2075,f856])). 14.34/2.48 tff(f5162,plain,( 14.34/2.48 spl52_365 | spl52_367 | spl52_362), 14.34/2.48 inference(avatar_split_clause,[],[f5149,f5132,f5159,f5151])). 14.34/2.48 tff(f5151,plain,( 14.34/2.48 spl52_365 <=> 0 = $sum(sF47,sF18)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_365])])). 14.34/2.48 tff(f5132,plain,( 14.34/2.48 spl52_362 <=> $less($sum(sF47,sF18),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_362])])). 14.34/2.48 tff(f5149,plain,( 14.34/2.48 0 = $sum(sF47,sF18) | $less(0,$sum(sF47,sF18)) | spl52_362), 14.34/2.48 inference(resolution,[],[f5134,f129])). 14.34/2.48 tff(f5134,plain,( 14.34/2.48 ~$less($sum(sF47,sF18),0) | spl52_362), 14.34/2.48 inference(avatar_component_clause,[],[f5132])). 14.34/2.48 tff(f5157,plain,( 14.34/2.48 spl52_365 | spl52_366 | spl52_362), 14.34/2.48 inference(avatar_split_clause,[],[f5148,f5132,f5155,f5151])). 14.34/2.48 tff(f5148,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF47,sF18)) | ~$less(X0,0) | 0 = $sum(sF47,sF18)) ) | spl52_362), 14.34/2.48 inference(resolution,[],[f5134,f1052])). 14.34/2.48 tff(f5146,plain,( 14.34/2.48 ~spl52_364 | ~spl52_10 | ~spl52_117 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f5141,f2777,f1297,f601,f5143])). 14.34/2.48 tff(f5141,plain,( 14.34/2.48 ~$less($sum(sF40,sF18),0) | (~spl52_10 | ~spl52_117 | ~spl52_223)), 14.34/2.48 inference(forward_demodulation,[],[f5119,f2779])). 14.34/2.48 tff(f5140,plain,( 14.34/2.48 ~spl52_363 | ~spl52_10 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f5126,f3012,f601,f5137])). 14.34/2.48 tff(f5126,plain,( 14.34/2.48 ~$less($sum(sF22,sF18),0) | (~spl52_10 | ~spl52_249)), 14.34/2.48 inference(superposition,[],[f3026,f3014])). 14.34/2.48 tff(f5135,plain,( 14.34/2.48 ~spl52_362 | ~spl52_10 | ~spl52_83 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f5130,f1362,f1028,f601,f5132])). 14.34/2.48 tff(f5130,plain,( 14.34/2.48 ~$less($sum(sF47,sF18),0) | (~spl52_10 | ~spl52_83 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f5118,f1364])). 14.34/2.48 tff(f5118,plain,( 14.34/2.48 ~$less($sum(length4(sK6),sF18),0) | (~spl52_10 | ~spl52_83)), 14.34/2.48 inference(superposition,[],[f3026,f1030])). 14.34/2.48 tff(f5050,plain,( 14.34/2.48 spl52_360 | spl52_361 | spl52_341), 14.34/2.48 inference(avatar_split_clause,[],[f5036,f4680,f5048,f5043])). 14.34/2.48 tff(f5036,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF22)) | ~$less(X0,0) | 0 = $sum(sF37,sF22)) ) | spl52_341), 14.34/2.48 inference(resolution,[],[f4682,f1052])). 14.34/2.48 tff(f5046,plain,( 14.34/2.48 spl52_359 | spl52_360 | spl52_341), 14.34/2.48 inference(avatar_split_clause,[],[f5037,f4680,f5043,f5039])). 14.34/2.48 tff(f5037,plain,( 14.34/2.48 $less(0,$sum(sF37,sF22)) | 0 = $sum(sF37,sF22) | spl52_341), 14.34/2.48 inference(resolution,[],[f4682,f129])). 14.34/2.48 tff(f4897,plain,( 14.34/2.48 spl52_358 | spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f4892,f2028,f1167,f854,f681,f4894])). 14.34/2.48 tff(f4894,plain,( 14.34/2.48 spl52_358 <=> infix_eqeq1(string_of_array1(sF31,0,0),app2(string_of_array1(sF31,0,0),string_of_array1(sF31,0,0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_358])])). 14.34/2.48 tff(f4892,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,0),app2(string_of_array1(sF31,0,0),string_of_array1(sF31,0,0))) | (spl52_26 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f4891,f683])). 14.34/2.48 tff(f4891,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,0),app2(string_of_array1(sF31,0,0),string_of_array1(sF31,0,0))) | $less(sK4,0) | (~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f4890,f2030])). 14.34/2.48 tff(f4890,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,0),app2(string_of_array1(sF31,0,0),string_of_array1(sF31,0,0))) | $less(sF33,0) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f4874,f1169])). 14.34/2.48 tff(f4874,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF31,0,0),app2(string_of_array1(sF31,0,0),string_of_array1(sF31,0,0))) | $less(length5(rope,sF30),0) | ~spl52_60), 14.34/2.48 inference(superposition,[],[f1983,f856])). 14.34/2.48 tff(f1983,plain,( 14.34/2.48 ( ! [X3 : array_rope] : ($less(length5(rope,t2tb1(X3)),0) | infix_eqeq1(string_of_array1(X3,0,0),app2(string_of_array1(X3,0,0),string_of_array1(X3,0,0)))) )), 14.34/2.48 inference(duplicate_literal_removal,[],[f1972])). 14.34/2.48 tff(f1972,plain,( 14.34/2.48 ( ! [X3 : array_rope] : ($less(length5(rope,t2tb1(X3)),0) | $less(length5(rope,t2tb1(X3)),0) | infix_eqeq1(string_of_array1(X3,0,0),app2(string_of_array1(X3,0,0),string_of_array1(X3,0,0)))) )), 14.34/2.48 inference(interpreted_simplification,[],[f1971])). 14.34/2.48 tff(f1971,plain,( 14.34/2.48 ( ! [X3 : array_rope] : ($less(length5(rope,t2tb1(X3)),0) | $less(0,0) | $less(length5(rope,t2tb1(X3)),0) | infix_eqeq1(string_of_array1(X3,0,0),app2(string_of_array1(X3,0,0),string_of_array1(X3,0,0))) | $less(0,0) | $less(0,0)) )), 14.34/2.48 inference(instantiation,[],[f461])). 14.34/2.48 tff(f4889,plain,( 14.34/2.48 spl52_357 | spl52_26 | ~spl52_75 | ~spl52_105 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f4888,f2009,f1198,f955,f681,f4882])). 14.34/2.48 tff(f4888,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | (spl52_26 | ~spl52_75 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f4887,f683])). 14.34/2.48 tff(f4887,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | $less(sK4,0) | (~spl52_75 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f4886,f2011])). 14.34/2.48 tff(f4886,plain,( 14.34/2.48 $less(sF16,0) | infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | (~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f4875,f1200])). 14.34/2.48 tff(f4875,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | $less(length5(rope,sF13),0) | ~spl52_75), 14.34/2.48 inference(superposition,[],[f1983,f957])). 14.34/2.48 tff(f4885,plain,( 14.34/2.48 spl52_357 | spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f4880,f2009,f1198,f974,f701,f681,f4882])). 14.34/2.48 tff(f4880,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | (spl52_26 | ~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f4879,f683])). 14.34/2.48 tff(f4879,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | $less(sK4,0) | (~spl52_30 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f4878,f2011])). 14.34/2.48 tff(f4878,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | $less(sF16,0) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f4877,f1200])). 14.34/2.48 tff(f4877,plain,( 14.34/2.48 $less(length5(rope,sF13),0) | infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f4876,f976])). 14.34/2.48 tff(f4876,plain,( 14.34/2.48 infix_eqeq1(string_of_array1(sF14,0,0),app2(string_of_array1(sF14,0,0),string_of_array1(sF14,0,0))) | $less(length5(rope,sF15),0) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f1983,f703])). 14.34/2.48 tff(f4858,plain,( 14.34/2.48 spl52_354 | spl52_356 | spl52_344), 14.34/2.48 inference(avatar_split_clause,[],[f4844,f4697,f4856,f4847])). 14.34/2.48 tff(f4847,plain,( 14.34/2.48 spl52_354 <=> 0 = $sum(sF37,sF37)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_354])])). 14.34/2.48 tff(f4844,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,$sum(sF37,sF37)) | 0 = $sum(sF37,sF37) | ~$less(X0,0)) ) | spl52_344), 14.34/2.48 inference(resolution,[],[f4699,f1052])). 14.34/2.48 tff(f4854,plain,( 14.34/2.48 spl52_354 | spl52_355 | spl52_344), 14.34/2.48 inference(avatar_split_clause,[],[f4845,f4697,f4851,f4847])). 14.34/2.48 tff(f4845,plain,( 14.34/2.48 0 = $sum(sF37,sF37) | $less(0,$sum(sF37,sF37)) | spl52_344), 14.34/2.48 inference(resolution,[],[f4699,f129])). 14.34/2.48 tff(f4775,plain,( 14.34/2.48 spl52_351 | spl52_353 | spl52_340), 14.34/2.48 inference(avatar_split_clause,[],[f4761,f4675,f4773,f4764])). 14.34/2.48 tff(f4764,plain,( 14.34/2.48 spl52_351 <=> 0 = $sum(sF37,sF18)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_351])])). 14.34/2.48 tff(f4761,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = $sum(sF37,sF18) | $less(X0,$sum(sF37,sF18)) | ~$less(X0,0)) ) | spl52_340), 14.34/2.48 inference(resolution,[],[f4677,f1052])). 14.34/2.48 tff(f4771,plain,( 14.34/2.48 spl52_351 | spl52_352 | spl52_340), 14.34/2.48 inference(avatar_split_clause,[],[f4762,f4675,f4768,f4764])). 14.34/2.48 tff(f4762,plain,( 14.34/2.48 $less(0,$sum(sF37,sF18)) | 0 = $sum(sF37,sF18) | spl52_340), 14.34/2.48 inference(resolution,[],[f4677,f129])). 14.34/2.48 tff(f4730,plain,( 14.34/2.48 spl52_348 | spl52_350 | spl52_343), 14.34/2.48 inference(avatar_split_clause,[],[f4716,f4692,f4728,f4719])). 14.34/2.48 tff(f4719,plain,( 14.34/2.48 spl52_348 <=> 0 = $sum(sF37,sF47)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_348])])). 14.34/2.48 tff(f4716,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF37,sF47)) | 0 = $sum(sF37,sF47)) ) | spl52_343), 14.34/2.48 inference(resolution,[],[f4694,f1052])). 14.34/2.48 tff(f4726,plain,( 14.34/2.48 spl52_348 | spl52_349 | spl52_343), 14.34/2.48 inference(avatar_split_clause,[],[f4717,f4692,f4723,f4719])). 14.34/2.48 tff(f4717,plain,( 14.34/2.48 $less(0,$sum(sF37,sF47)) | 0 = $sum(sF37,sF47) | spl52_343), 14.34/2.48 inference(resolution,[],[f4694,f129])). 14.34/2.48 tff(f4715,plain,( 14.34/2.48 spl52_345 | spl52_347 | spl52_342), 14.34/2.48 inference(avatar_split_clause,[],[f4702,f4686,f4712,f4704])). 14.34/2.48 tff(f4704,plain,( 14.34/2.48 spl52_345 <=> 0 = $sum(sF37,sF40)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_345])])). 14.34/2.48 tff(f4702,plain,( 14.34/2.48 0 = $sum(sF37,sF40) | $less(0,$sum(sF37,sF40)) | spl52_342), 14.34/2.48 inference(resolution,[],[f4688,f129])). 14.34/2.48 tff(f4710,plain,( 14.34/2.48 spl52_345 | spl52_346 | spl52_342), 14.34/2.48 inference(avatar_split_clause,[],[f4701,f4686,f4708,f4704])). 14.34/2.48 tff(f4701,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = $sum(sF37,sF40) | $less(X0,$sum(sF37,sF40)) | ~$less(X0,0)) ) | spl52_342), 14.34/2.48 inference(resolution,[],[f4688,f1052])). 14.34/2.48 tff(f4700,plain,( 14.34/2.48 ~spl52_344 | ~spl52_8), 14.34/2.48 inference(avatar_split_clause,[],[f4669,f591,f4697])). 14.34/2.48 tff(f4669,plain,( 14.34/2.48 ~$less($sum(sF37,sF37),0) | ~spl52_8), 14.34/2.48 inference(superposition,[],[f2991,f593])). 14.34/2.48 tff(f4695,plain,( 14.34/2.48 ~spl52_343 | ~spl52_8 | ~spl52_83 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f4690,f1362,f1028,f591,f4692])). 14.34/2.48 tff(f4690,plain,( 14.34/2.48 ~$less($sum(sF37,sF47),0) | (~spl52_8 | ~spl52_83 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f4663,f1364])). 14.34/2.48 tff(f4663,plain,( 14.34/2.48 ~$less($sum(sF37,length4(sK6)),0) | (~spl52_8 | ~spl52_83)), 14.34/2.48 inference(superposition,[],[f2991,f1030])). 14.34/2.48 tff(f4689,plain,( 14.34/2.48 ~spl52_342 | ~spl52_8 | ~spl52_117 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f4684,f2777,f1297,f591,f4686])). 14.34/2.48 tff(f4684,plain,( 14.34/2.48 ~$less($sum(sF37,sF40),0) | (~spl52_8 | ~spl52_117 | ~spl52_223)), 14.34/2.48 inference(forward_demodulation,[],[f4664,f2779])). 14.34/2.48 tff(f4664,plain,( 14.34/2.48 ~$less($sum(sF37,length4(sK9)),0) | (~spl52_8 | ~spl52_117)), 14.34/2.48 inference(superposition,[],[f2991,f1299])). 14.34/2.48 tff(f4683,plain,( 14.34/2.48 ~spl52_341 | ~spl52_8 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f4670,f3012,f591,f4680])). 14.34/2.48 tff(f4670,plain,( 14.34/2.48 ~$less($sum(sF37,sF22),0) | (~spl52_8 | ~spl52_249)), 14.34/2.48 inference(superposition,[],[f2991,f3014])). 14.34/2.48 tff(f4678,plain,( 14.34/2.48 ~spl52_340 | ~spl52_8 | ~spl52_10), 14.34/2.48 inference(avatar_split_clause,[],[f4668,f601,f591,f4675])). 14.34/2.48 tff(f4668,plain,( 14.34/2.48 ~$less($sum(sF37,sF18),0) | (~spl52_8 | ~spl52_10)), 14.34/2.48 inference(superposition,[],[f2991,f603])). 14.34/2.48 tff(f4651,plain,( 14.34/2.48 spl52_339 | spl52_337 | spl52_324), 14.34/2.48 inference(avatar_split_clause,[],[f4637,f4407,f4640,f4649])). 14.34/2.48 tff(f4640,plain,( 14.34/2.48 spl52_337 <=> 0 = $sum(sF18,sF37)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_337])])). 14.34/2.48 tff(f4637,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF37)) | 0 = $sum(sF18,sF37)) ) | spl52_324), 14.34/2.48 inference(resolution,[],[f4409,f1052])). 14.34/2.48 tff(f4647,plain,( 14.34/2.48 spl52_337 | spl52_338 | spl52_324), 14.34/2.48 inference(avatar_split_clause,[],[f4638,f4407,f4644,f4640])). 14.34/2.48 tff(f4638,plain,( 14.34/2.48 0 = $sum(sF18,sF37) | $less(0,$sum(sF18,sF37)) | spl52_324), 14.34/2.48 inference(resolution,[],[f4409,f129])). 14.34/2.48 tff(f4619,plain,( 14.34/2.48 spl52_336 | spl52_335 | spl52_323), 14.34/2.48 inference(avatar_split_clause,[],[f4605,f4402,f4612,f4617])). 14.34/2.48 tff(f4612,plain,( 14.34/2.48 spl52_335 <=> 0 = $sum(sF18,sF18)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_335])])). 14.34/2.48 tff(f4402,plain,( 14.34/2.48 spl52_323 <=> $less($sum(sF18,sF18),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_323])])). 14.34/2.48 tff(f4605,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF18)) | 0 = $sum(sF18,sF18)) ) | spl52_323), 14.34/2.48 inference(resolution,[],[f4404,f1052])). 14.34/2.48 tff(f4404,plain,( 14.34/2.48 ~$less($sum(sF18,sF18),0) | spl52_323), 14.34/2.48 inference(avatar_component_clause,[],[f4402])). 14.34/2.48 tff(f4615,plain,( 14.34/2.48 spl52_334 | spl52_335 | spl52_323), 14.34/2.48 inference(avatar_split_clause,[],[f4606,f4402,f4612,f4608])). 14.34/2.48 tff(f4606,plain,( 14.34/2.48 0 = $sum(sF18,sF18) | $less(0,$sum(sF18,sF18)) | spl52_323), 14.34/2.48 inference(resolution,[],[f4404,f129])). 14.34/2.48 tff(f4604,plain,( 14.34/2.48 spl52_333 | spl52_332 | spl52_325), 14.34/2.48 inference(avatar_split_clause,[],[f4591,f4414,f4596,f4601])). 14.34/2.48 tff(f4596,plain,( 14.34/2.48 spl52_332 <=> 0 = $sum(sF18,sF40)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_332])])). 14.34/2.48 tff(f4414,plain,( 14.34/2.48 spl52_325 <=> $less($sum(sF18,sF40),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_325])])). 14.34/2.48 tff(f4591,plain,( 14.34/2.48 0 = $sum(sF18,sF40) | $less(0,$sum(sF18,sF40)) | spl52_325), 14.34/2.48 inference(resolution,[],[f4416,f129])). 14.34/2.48 tff(f4416,plain,( 14.34/2.48 ~$less($sum(sF18,sF40),0) | spl52_325), 14.34/2.48 inference(avatar_component_clause,[],[f4414])). 14.34/2.48 tff(f4599,plain,( 14.34/2.48 spl52_331 | spl52_332 | spl52_325), 14.34/2.48 inference(avatar_split_clause,[],[f4590,f4414,f4596,f4593])). 14.34/2.48 tff(f4590,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,$sum(sF18,sF40)) | 0 = $sum(sF18,sF40)) ) | spl52_325), 14.34/2.48 inference(resolution,[],[f4416,f1052])). 14.34/2.48 tff(f4588,plain,( 14.34/2.48 spl52_330 | ~spl52_141 | ~spl52_327), 14.34/2.48 inference(avatar_split_clause,[],[f4576,f4425,f1549,f4585])). 14.34/2.48 tff(f4585,plain,( 14.34/2.48 spl52_330 <=> $less(0,sF44)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_330])])). 14.34/2.48 tff(f1549,plain,( 14.34/2.48 spl52_141 <=> $less(sF51,sF44)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_141])])). 14.34/2.48 tff(f4576,plain,( 14.34/2.48 $less(0,sF44) | (~spl52_141 | ~spl52_327)), 14.34/2.48 inference(superposition,[],[f1551,f4427])). 14.34/2.48 tff(f1551,plain,( 14.34/2.48 $less(sF51,sF44) | ~spl52_141), 14.34/2.48 inference(avatar_component_clause,[],[f1549])). 14.34/2.48 tff(f4583,plain,( 14.34/2.48 spl52_329 | ~spl52_17 | ~spl52_327), 14.34/2.48 inference(avatar_split_clause,[],[f4578,f4425,f636,f4580])). 14.34/2.48 tff(f4580,plain,( 14.34/2.48 spl52_329 <=> $less(0,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_329])])). 14.34/2.48 tff(f4578,plain,( 14.34/2.48 $less(0,sF28) | (~spl52_17 | ~spl52_327)), 14.34/2.48 inference(superposition,[],[f638,f4427])). 14.34/2.48 tff(f4432,plain,( 14.34/2.48 spl52_328 | spl52_327 | spl52_322), 14.34/2.48 inference(avatar_split_clause,[],[f4418,f4397,f4425,f4430])). 14.34/2.48 tff(f4397,plain,( 14.34/2.48 spl52_322 <=> $less(sF51,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_322])])). 14.34/2.48 tff(f4418,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF51) | 0 = sF51) ) | spl52_322), 14.34/2.48 inference(resolution,[],[f4399,f1052])). 14.34/2.48 tff(f4399,plain,( 14.34/2.48 ~$less(sF51,0) | spl52_322), 14.34/2.48 inference(avatar_component_clause,[],[f4397])). 14.34/2.48 tff(f4428,plain,( 14.34/2.48 spl52_326 | spl52_327 | spl52_322), 14.34/2.48 inference(avatar_split_clause,[],[f4419,f4397,f4425,f4421])). 14.34/2.48 tff(f4419,plain,( 14.34/2.48 $less(0,sF51) | 0 = sF51 | spl52_322), 14.34/2.48 inference(resolution,[],[f4399,f129])). 14.34/2.48 tff(f4417,plain,( 14.34/2.48 ~spl52_325 | ~spl52_10 | ~spl52_117 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f4412,f2777,f1297,f601,f4414])). 14.34/2.48 tff(f4412,plain,( 14.34/2.48 ~$less($sum(sF18,sF40),0) | (~spl52_10 | ~spl52_117 | ~spl52_223)), 14.34/2.48 inference(forward_demodulation,[],[f4384,f2779])). 14.34/2.48 tff(f4410,plain,( 14.34/2.48 ~spl52_324 | ~spl52_8 | ~spl52_10), 14.34/2.48 inference(avatar_split_clause,[],[f4389,f601,f591,f4407])). 14.34/2.48 tff(f4389,plain,( 14.34/2.48 ~$less($sum(sF18,sF37),0) | (~spl52_8 | ~spl52_10)), 14.34/2.48 inference(superposition,[],[f2972,f593])). 14.34/2.48 tff(f4405,plain,( 14.34/2.48 ~spl52_323 | ~spl52_10), 14.34/2.48 inference(avatar_split_clause,[],[f4388,f601,f4402])). 14.34/2.48 tff(f4388,plain,( 14.34/2.48 ~$less($sum(sF18,sF18),0) | ~spl52_10), 14.34/2.48 inference(superposition,[],[f2972,f603])). 14.34/2.48 tff(f4400,plain,( 14.34/2.48 ~spl52_322 | ~spl52_10 | ~spl52_83 | ~spl52_124 | ~spl52_258), 14.34/2.48 inference(avatar_split_clause,[],[f4395,f3271,f1362,f1028,f601,f4397])). 14.34/2.48 tff(f3271,plain,( 14.34/2.48 spl52_258 <=> sF51 = $sum(sF18,sF47)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_258])])). 14.34/2.48 tff(f4395,plain,( 14.34/2.48 ~$less(sF51,0) | (~spl52_10 | ~spl52_83 | ~spl52_124 | ~spl52_258)), 14.34/2.48 inference(forward_demodulation,[],[f4394,f3273])). 14.34/2.48 tff(f3273,plain,( 14.34/2.48 sF51 = $sum(sF18,sF47) | ~spl52_258), 14.34/2.48 inference(avatar_component_clause,[],[f3271])). 14.34/2.48 tff(f4394,plain,( 14.34/2.48 ~$less($sum(sF18,sF47),0) | (~spl52_10 | ~spl52_83 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f4383,f1364])). 14.34/2.48 tff(f4383,plain,( 14.34/2.48 ~$less($sum(sF18,length4(sK6)),0) | (~spl52_10 | ~spl52_83)), 14.34/2.48 inference(superposition,[],[f2972,f1030])). 14.34/2.48 tff(f4247,plain,( 14.34/2.48 spl52_320 | spl52_321), 14.34/2.48 inference(avatar_split_clause,[],[f4228,f4244,f4223])). 14.34/2.48 tff(f4228,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(3)))) | $less(max3,3)), 14.34/2.48 inference(interpreted_simplification,[],[f4227])). 14.34/2.48 tff(f4227,plain,( 14.34/2.48 $less(2,2) | ~$less(2,3) | inv1(tb2t2(get(rope,int,sF29,t2tb(3)))) | $less(max3,3)), 14.34/2.48 inference(instantiation,[],[f1786])). 14.34/2.48 tff(f1786,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X1,2) | ~$less(X1,X0) | inv1(tb2t2(get(rope,int,sF29,t2tb(X0)))) | $less(max3,X0)) )), 14.34/2.48 inference(resolution,[],[f533,f128])). 14.34/2.48 tff(f533,plain,( 14.34/2.48 ( ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,sF29,t2tb(X8))))) )), 14.34/2.48 inference(definition_folding,[],[f444,f524])). 14.34/2.48 tff(f524,plain,( 14.34/2.48 t2tb3(sK10) = sF29), 14.34/2.48 introduced(function_definition,[new_symbols(definition,[sF29])])). 14.34/2.48 tff(f444,plain,( 14.34/2.48 ( ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(sK10),t2tb(X8))))) )), 14.34/2.48 inference(cnf_transformation,[],[f330])). 14.34/2.48 tff(f330,plain,( 14.34/2.48 ($less(2,sK4) & sK6 = app3(sK8,sK9,sK7) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,sK8,t2tb(0),t2tb(str_proj_31(sK8)),t2tb(app_proj_31(sK8))))),fib1($sum(max3,1))) & ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) & inv1(sK8) & $sum(max3,1) = sK4 & (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(sK8))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(sK10),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10))))),tb2t(match_rope1(int,sK9,t2tb(0),t2tb(str_proj_31(sK9)),t2tb(app_proj_31(sK9))))),fib1($sum(max3,1))) & ~$less(sK4,0))) & ~$less(sK4,0) & ! [X9 : $int] : ($less(X9,2) | $less(max3,X9) | inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X9))))) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1))) & $sum(max3,1) = sK4 & $less(2,sK4) & inv1(sK6)), 14.34/2.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f326,f329,f328,f327])). 14.34/2.48 tff(f327,plain,( 14.34/2.48 ? [X0 : $int,X1 : map_int_rope,X2 : rope1] : (? [X3 : $int,X4 : rope1,X5 : rope1] : ($less(2,X0) & app3(X4,X5,X3) = X2 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) & inv1(X4) & $sum(max3,1) = X0 & ? [X7 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1)))),string3(X4))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) & ~$less(X0,0))) & ~$less(X0,0) & ! [X9 : $int] : ($less(X9,2) | $less(max3,X9) | inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X9))))) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X2,t2tb(0),t2tb(str_proj_31(X2)),t2tb(app_proj_31(X2))))),fib1($sum(max3,1))) & $sum(max3,1) = X0 & $less(2,X0) & inv1(X2)) => (? [X5 : rope1,X4 : rope1,X3 : $int] : ($less(2,sK4) & app3(X4,X5,X3) = sK6 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) & inv1(X4) & $sum(max3,1) = sK4 & ? [X7 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(X4))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) & ~$less(sK4,0))) & ~$less(sK4,0) & ! [X9 : $int] : ($less(X9,2) | $less(max3,X9) | inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X9))))) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1))) & $sum(max3,1) = sK4 & $less(2,sK4) & inv1(sK6))), 14.34/2.48 introduced(choice_axiom,[])). 14.34/2.48 tff(f328,plain,( 14.34/2.48 ? [X5 : rope1,X4 : rope1,X3 : $int] : ($less(2,sK4) & app3(X4,X5,X3) = sK6 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) & inv1(X4) & $sum(max3,1) = sK4 & ? [X7 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(X4))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) & ~$less(sK4,0))) => ($less(2,sK4) & sK6 = app3(sK8,sK9,sK7) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,sK8,t2tb(0),t2tb(str_proj_31(sK8)),t2tb(app_proj_31(sK8))))),fib1($sum(max3,1))) & ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) & inv1(sK8) & $sum(max3,1) = sK4 & ? [X7 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(sK8))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7))))),tb2t(match_rope1(int,sK9,t2tb(0),t2tb(str_proj_31(sK9)),t2tb(app_proj_31(sK9))))),fib1($sum(max3,1))) & ~$less(sK4,0)))), 14.34/2.48 introduced(choice_axiom,[])). 14.34/2.48 tff(f329,plain,( 14.34/2.48 ? [X7 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(sK8))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(X7))))),tb2t(match_rope1(int,sK9,t2tb(0),t2tb(str_proj_31(sK9)),t2tb(app_proj_31(sK9))))),fib1($sum(max3,1))) & ~$less(sK4,0)) => (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(sK8))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(sK10),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10))))),tb2t(match_rope1(int,sK9,t2tb(0),t2tb(str_proj_31(sK9)),t2tb(app_proj_31(sK9))))),fib1($sum(max3,1))) & ~$less(sK4,0))), 14.34/2.48 introduced(choice_axiom,[])). 14.34/2.48 tff(f326,plain,( 14.34/2.48 ? [X0 : $int,X1 : map_int_rope,X2 : rope1] : (? [X3 : $int,X4 : rope1,X5 : rope1] : ($less(2,X0) & app3(X4,X5,X3) = X2 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) & inv1(X4) & $sum(max3,1) = X0 & ? [X7 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1)))),string3(X4))) & ! [X8 : $int] : ($less(X8,2) | $less(max3,X8) | inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X8))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) & ~$less(X0,0))) & ~$less(X0,0) & ! [X9 : $int] : ($less(X9,2) | $less(max3,X9) | inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X9))))) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X2,t2tb(0),t2tb(str_proj_31(X2)),t2tb(app_proj_31(X2))))),fib1($sum(max3,1))) & $sum(max3,1) = X0 & $less(2,X0) & inv1(X2))), 14.34/2.48 inference(rectify,[],[f248])). 14.34/2.48 tff(f248,plain,( 14.34/2.48 ? [X0 : $int,X2 : map_int_rope,X1 : rope1] : (? [X6 : $int,X4 : rope1,X5 : rope1] : ($less(2,X0) & app3(X4,X5,X6) = X1 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & ! [X7 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X7)))) | $less(X7,2) | $less(max3,X7)) & inv1(X4) & $sum(max3,1) = X0 & ? [X8 : map_int_rope] : (infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X4))) & ! [X9 : $int] : ($less(X9,2) | $less(max3,X9) | inv1(tb2t2(get(rope,int,t2tb3(X8),t2tb(X9))))) & ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) & ~$less(X0,0))) & ~$less(X0,0) & ! [X3 : $int] : ($less(X3,2) | $less(max3,X3) | inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X3))))) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1))) & $sum(max3,1) = X0 & $less(2,X0) & inv1(X1))), 14.34/2.48 inference(flattening,[],[f247])). 14.34/2.48 tff(f247,plain,( 14.34/2.48 ? [X0 : $int,X2 : map_int_rope,X1 : rope1] : (? [X5 : rope1,X6 : $int,X4 : rope1] : ((? [X8 : map_int_rope] : (~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) & (~$less(X0,0) & infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X4))) & ! [X9 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(X8),t2tb(X9)))) | ($less(X9,2) | $less(max3,X9))))) & ($less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & $less(2,X0) & ! [X7 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X7)))) | ($less(X7,2) | $less(max3,X7))) & inv1(X4) & $sum(max3,1) = X0)) & app3(X4,X5,X6) = X1) & ($less(2,X0) & ~$less(X0,0) & $sum(max3,1) = X0 & ! [X3 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X3)))) | ($less(X3,2) | $less(max3,X3))) & inv1(X1) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1)))))), 14.34/2.48 inference(ennf_transformation,[],[f172])). 14.34/2.48 tff(f172,plain,( 14.34/2.48 ~! [X0 : $int,X2 : map_int_rope,X1 : rope1] : (($less(2,X0) & ~$less(X0,0) & $sum(max3,1) = X0 & ! [X3 : $int] : ((~$less(X3,2) & ~$less(max3,X3)) => inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X3))))) & inv1(X1) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1)))) => ! [X5 : rope1,X6 : $int,X4 : rope1] : (app3(X4,X5,X6) = X1 => (($less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) & $less(2,X0) & ! [X7 : $int] : ((~$less(X7,2) & ~$less(max3,X7)) => inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X7))))) & inv1(X4) & $sum(max3,1) = X0) => ! [X8 : map_int_rope] : ((~$less(X0,0) & infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X4))) & ! [X9 : $int] : ((~$less(X9,2) & ~$less(max3,X9)) => inv1(tb2t2(get(rope,int,t2tb3(X8),t2tb(X9)))))) => $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1)))))))), 14.34/2.48 inference(rectify,[],[f104])). 14.34/2.48 tff(f104,plain,( 14.34/2.48 ~! [X3 : $int,X15 : rope1,X26 : map_int_rope] : ((! [X11 : $int] : ((~$less(X11,2) & ~$less(max3,X11)) => inv1(tb2t2(get(rope,int,t2tb3(X26),t2tb(X11))))) & ~$less(X3,0) & $sum(max3,1) = X3 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26))))),tb2t(match_rope1(int,X15,t2tb(0),t2tb(str_proj_31(X15)),t2tb(app_proj_31(X15))))),fib1($sum(max3,1))) & inv1(X15) & $less(2,X3)) => ! [X8 : rope1,X9 : rope1,X10 : $int] : (app3(X8,X9,X10) = X15 => (($sum(max3,1) = X3 & $less(2,X3) & ! [X11 : $int] : ((~$less(max3,X11) & ~$less(X11,2)) => inv1(tb2t2(get(rope,int,t2tb3(X26),t2tb(X11))))) & inv1(X8) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26))))),tb2t(match_rope1(int,X8,t2tb(0),t2tb(str_proj_31(X8)),t2tb(app_proj_31(X8))))),fib1($sum(max3,1)))) => ! [X27 : map_int_rope] : ((~$less(X3,0) & infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X27)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26)))),string3(X8))) & ! [X11 : $int] : ((~$less(max3,X11) & ~$less(X11,2)) => inv1(tb2t2(get(rope,int,t2tb3(X27),t2tb(X11)))))) => $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X27))))),tb2t(match_rope1(int,X9,t2tb(0),t2tb(str_proj_31(X9)),t2tb(app_proj_31(X9))))),fib1($sum(max3,1)))))))), 14.34/2.48 inference(theory_normalization,[],[f67])). 14.34/2.48 tff(f67,negated_conjecture,( 14.34/2.48 ~! [X3 : $int,X15 : rope1,X26 : map_int_rope] : ((! [X11 : $int] : (($lesseq(2,X11) & $lesseq(X11,max3)) => inv1(tb2t2(get(rope,int,t2tb3(X26),t2tb(X11))))) & $lesseq(0,X3) & $sum(max3,1) = X3 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26))))),tb2t(match_rope1(int,X15,t2tb(0),t2tb(str_proj_31(X15)),t2tb(app_proj_31(X15))))),fib1($sum(max3,1))) & inv1(X15) & $less(2,X3)) => ! [X8 : rope1,X9 : rope1,X10 : $int] : (app3(X8,X9,X10) = X15 => (($sum(max3,1) = X3 & $less(2,X3) & ! [X11 : $int] : (($lesseq(X11,max3) & $lesseq(2,X11)) => inv1(tb2t2(get(rope,int,t2tb3(X26),t2tb(X11))))) & inv1(X8) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26))))),tb2t(match_rope1(int,X8,t2tb(0),t2tb(str_proj_31(X8)),t2tb(app_proj_31(X8))))),fib1($sum(max3,1)))) => ! [X27 : map_int_rope] : (($lesseq(0,X3) & infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X27)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26)))),string3(X8))) & ! [X11 : $int] : (($lesseq(X11,max3) & $lesseq(2,X11)) => inv1(tb2t2(get(rope,int,t2tb3(X27),t2tb(X11)))))) => $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X27))))),tb2t(match_rope1(int,X9,t2tb(0),t2tb(str_proj_31(X9)),t2tb(app_proj_31(X9))))),fib1($sum(max3,1)))))))), 14.34/2.48 inference(negated_conjecture,[],[f66])). 14.34/2.48 tff(f66,conjecture,( 14.34/2.48 ! [X3 : $int,X15 : rope1,X26 : map_int_rope] : ((! [X11 : $int] : (($lesseq(2,X11) & $lesseq(X11,max3)) => inv1(tb2t2(get(rope,int,t2tb3(X26),t2tb(X11))))) & $lesseq(0,X3) & $sum(max3,1) = X3 & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26))))),tb2t(match_rope1(int,X15,t2tb(0),t2tb(str_proj_31(X15)),t2tb(app_proj_31(X15))))),fib1($sum(max3,1))) & inv1(X15) & $less(2,X3)) => ! [X8 : rope1,X9 : rope1,X10 : $int] : (app3(X8,X9,X10) = X15 => (($sum(max3,1) = X3 & $less(2,X3) & ! [X11 : $int] : (($lesseq(X11,max3) & $lesseq(2,X11)) => inv1(tb2t2(get(rope,int,t2tb3(X26),t2tb(X11))))) & inv1(X8) & $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26))))),tb2t(match_rope1(int,X8,t2tb(0),t2tb(str_proj_31(X8)),t2tb(app_proj_31(X8))))),fib1($sum(max3,1)))) => ! [X27 : map_int_rope] : (($lesseq(0,X3) & infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X27)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X26)))),string3(X8))) & ! [X11 : $int] : (($lesseq(X11,max3) & $lesseq(2,X11)) => inv1(tb2t2(get(rope,int,t2tb3(X27),t2tb(X11)))))) => $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X3,t2tb3(X27))))),tb2t(match_rope1(int,X9,t2tb(0),t2tb(str_proj_31(X9)),t2tb(app_proj_31(X9))))),fib1($sum(max3,1)))))))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f4226,plain,( 14.34/2.48 spl52_319 | spl52_320), 14.34/2.48 inference(avatar_split_clause,[],[f4203,f4223,f4219])). 14.34/2.48 tff(f4203,plain,( 14.34/2.48 $less(max3,3) | inv1(tb2t2(get(rope,int,sF12,t2tb(3))))), 14.34/2.48 inference(interpreted_simplification,[],[f4202])). 14.34/2.48 tff(f4202,plain,( 14.34/2.48 $less(2,2) | ~$less(2,3) | $less(max3,3) | inv1(tb2t2(get(rope,int,sF12,t2tb(3))))), 14.34/2.48 inference(instantiation,[],[f1756])). 14.34/2.48 tff(f1756,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : ($less(X1,2) | ~$less(X1,X0) | $less(max3,X0) | inv1(tb2t2(get(rope,int,sF12,t2tb(X0))))) )), 14.34/2.48 inference(resolution,[],[f522,f128])). 14.34/2.48 tff(f522,plain,( 14.34/2.48 ( ! [X6 : $int] : ($less(X6,2) | inv1(tb2t2(get(rope,int,sF12,t2tb(X6)))) | $less(max3,X6)) )), 14.34/2.48 inference(definition_folding,[],[f448,f504])). 14.34/2.48 tff(f504,plain,( 14.34/2.48 t2tb3(sK5) = sF12), 14.34/2.48 introduced(function_definition,[new_symbols(definition,[sF12])])). 14.34/2.48 tff(f448,plain,( 14.34/2.48 ( ! [X6 : $int] : (inv1(tb2t2(get(rope,int,t2tb3(sK5),t2tb(X6)))) | $less(X6,2) | $less(max3,X6)) )), 14.34/2.48 inference(cnf_transformation,[],[f330])). 14.34/2.48 tff(f4191,plain,( 14.34/2.48 spl52_318 | ~spl52_246 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f4186,f3012,f2981,f4188])). 14.34/2.48 tff(f4188,plain,( 14.34/2.48 spl52_318 <=> sF37 = $sum(sF18,sF22)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_318])])). 14.34/2.48 tff(f4186,plain,( 14.34/2.48 sF37 = $sum(sF18,sF22) | (~spl52_246 | ~spl52_249)), 14.34/2.48 inference(forward_demodulation,[],[f2983,f3014])). 14.34/2.48 tff(f4185,plain,( 14.34/2.48 spl52_317 | ~spl52_253), 14.34/2.48 inference(avatar_split_clause,[],[f4180,f3106,f4182])). 14.34/2.48 tff(f4182,plain,( 14.34/2.48 spl52_317 <=> 0 = min1(0,1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_317])])). 14.34/2.48 tff(f3106,plain,( 14.34/2.48 spl52_253 <=> 0 = min1(1,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_253])])). 14.34/2.48 tff(f4180,plain,( 14.34/2.48 0 = min1(0,1) | ~spl52_253), 14.34/2.48 inference(evaluation,[],[f4173])). 14.34/2.48 tff(f4173,plain,( 14.34/2.48 0 = min1(0,1) | $less(1,0) | ~spl52_253), 14.34/2.48 inference(superposition,[],[f365,f3108])). 14.34/2.48 tff(f3108,plain,( 14.34/2.48 0 = min1(1,0) | ~spl52_253), 14.34/2.48 inference(avatar_component_clause,[],[f3106])). 14.34/2.48 tff(f365,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (min1(X0,X1) = min1(X1,X0) | $less(X1,X0)) )), 14.34/2.48 inference(cnf_transformation,[],[f286])). 14.34/2.48 tff(f286,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : ($less(X1,X0) | min1(X0,X1) = min1(X1,X0))), 14.34/2.48 inference(rectify,[],[f246])). 14.34/2.48 tff(f246,plain,( 14.34/2.48 ! [X1 : $int,X0 : $int] : ($less(X0,X1) | min1(X0,X1) = min1(X1,X0))), 14.34/2.48 inference(ennf_transformation,[],[f200])). 14.34/2.48 tff(f200,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min1(X0,X1) = min1(X1,X0))), 14.34/2.48 inference(rectify,[],[f110])). 14.34/2.48 tff(f110,plain,( 14.34/2.48 ! [X8 : $int,X28 : $int] : (~$less(X8,X28) => min1(X8,X28) = min1(X28,X8))), 14.34/2.48 inference(theory_normalization,[],[f93])). 14.34/2.48 tff(f93,axiom,( 14.34/2.48 ! [X8 : $int,X28 : $int] : ($lesseq(X28,X8) => min1(X8,X28) = min1(X28,X8))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f4152,plain,( 14.34/2.48 spl52_316 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_236 | ~spl52_238), 14.34/2.48 inference(avatar_split_clause,[],[f4147,f2909,f2897,f1362,f1128,f811,f4149])). 14.34/2.48 tff(f4147,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK8),sK6,$sum(length4(app_proj_11(sK8)),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_236 | ~spl52_238)), 14.34/2.48 inference(subsumption_resolution,[],[f4138,f2899])). 14.34/2.48 tff(f2899,plain,( 14.34/2.48 inv1(app_proj_11(sK8)) | ~spl52_236), 14.34/2.48 inference(avatar_component_clause,[],[f2897])). 14.34/2.48 tff(f4146,plain,( 14.34/2.48 spl52_315 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_236 | ~spl52_238 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f4141,f3012,f2909,f2897,f1286,f1036,f766,f4143])). 14.34/2.48 tff(f4143,plain,( 14.34/2.48 spl52_315 <=> inv1(app3(app_proj_11(sK8),sK8,$sum(length4(app_proj_11(sK8)),sF22)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_315])])). 14.34/2.48 tff(f4141,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK8),sK8,$sum(length4(app_proj_11(sK8)),sF22))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_236 | ~spl52_238 | ~spl52_249)), 14.34/2.48 inference(forward_demodulation,[],[f4140,f3014])). 14.34/2.48 tff(f4140,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK8),sK8,$sum(length4(app_proj_11(sK8)),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_236 | ~spl52_238)), 14.34/2.48 inference(subsumption_resolution,[],[f4137,f2899])). 14.34/2.48 tff(f4136,plain,( 14.34/2.48 spl52_314 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_237 | ~spl52_240 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f4131,f3012,f2921,f2903,f1286,f1036,f766,f4133])). 14.34/2.48 tff(f4133,plain,( 14.34/2.48 spl52_314 <=> inv1(app3(app_proj_21(sK8),sK8,$sum(length4(app_proj_21(sK8)),sF22)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_314])])). 14.34/2.48 tff(f4131,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK8),sK8,$sum(length4(app_proj_21(sK8)),sF22))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_237 | ~spl52_240 | ~spl52_249)), 14.34/2.48 inference(forward_demodulation,[],[f4130,f3014])). 14.34/2.48 tff(f4130,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK8),sK8,$sum(length4(app_proj_21(sK8)),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_237 | ~spl52_240)), 14.34/2.48 inference(subsumption_resolution,[],[f4121,f2923])). 14.34/2.48 tff(f4121,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK8),sK8,$sum(length4(app_proj_21(sK8)),length3(sF35)))) | ~inv1(app_proj_21(sK8)) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_237)), 14.34/2.48 inference(resolution,[],[f2905,f1825])). 14.34/2.48 tff(f2905,plain,( 14.34/2.48 $less(0,length4(app_proj_21(sK8))) | ~spl52_237), 14.34/2.48 inference(avatar_component_clause,[],[f2903])). 14.34/2.48 tff(f4129,plain,( 14.34/2.48 spl52_313 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_237 | ~spl52_240), 14.34/2.48 inference(avatar_split_clause,[],[f4124,f2921,f2903,f1362,f1128,f811,f4126])). 14.34/2.48 tff(f4126,plain,( 14.34/2.48 spl52_313 <=> inv1(app3(app_proj_21(sK8),sK6,$sum(length4(app_proj_21(sK8)),sF47)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_313])])). 14.34/2.48 tff(f4124,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK8),sK6,$sum(length4(app_proj_21(sK8)),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_237 | ~spl52_240)), 14.34/2.48 inference(subsumption_resolution,[],[f4122,f2923])). 14.34/2.48 tff(f4122,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK8),sK6,$sum(length4(app_proj_21(sK8)),sF47))) | ~inv1(app_proj_21(sK8)) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_237)), 14.34/2.48 inference(resolution,[],[f2905,f1827])). 14.34/2.48 tff(f4120,plain,( 14.34/2.48 spl52_312 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_224 | ~spl52_225), 14.34/2.48 inference(avatar_split_clause,[],[f4115,f2789,f2783,f1362,f1128,f811,f4117])). 14.34/2.48 tff(f4117,plain,( 14.34/2.48 spl52_312 <=> inv1(app3(app_proj_11(sK9),sK6,$sum(length4(app_proj_11(sK9)),sF47)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_312])])). 14.34/2.48 tff(f4115,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK9),sK6,$sum(length4(app_proj_11(sK9)),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_224 | ~spl52_225)), 14.34/2.48 inference(subsumption_resolution,[],[f4106,f2785])). 14.34/2.48 tff(f4106,plain,( 14.34/2.48 ~inv1(app_proj_11(sK9)) | inv1(app3(app_proj_11(sK9),sK6,$sum(length4(app_proj_11(sK9)),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_225)), 14.34/2.48 inference(resolution,[],[f2791,f1827])). 14.34/2.48 tff(f4114,plain,( 14.34/2.48 spl52_311 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_224 | ~spl52_225 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f4109,f3012,f2789,f2783,f1286,f1036,f766,f4111])). 14.34/2.48 tff(f4111,plain,( 14.34/2.48 spl52_311 <=> inv1(app3(app_proj_11(sK9),sK8,$sum(length4(app_proj_11(sK9)),sF22)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_311])])). 14.34/2.48 tff(f4109,plain,( 14.34/2.48 inv1(app3(app_proj_11(sK9),sK8,$sum(length4(app_proj_11(sK9)),sF22))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_224 | ~spl52_225 | ~spl52_249)), 14.34/2.48 inference(forward_demodulation,[],[f4108,f3014])). 14.34/2.48 tff(f4098,plain,( 14.34/2.48 spl52_310 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_220 | ~spl52_221), 14.34/2.48 inference(avatar_split_clause,[],[f4093,f2766,f2760,f1362,f1128,f811,f4095])). 14.34/2.48 tff(f4095,plain,( 14.34/2.48 spl52_310 <=> inv1(app3(app_proj_21(sK9),sK6,$sum(length4(app_proj_21(sK9)),sF47)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_310])])). 14.34/2.48 tff(f4093,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK9),sK6,$sum(length4(app_proj_21(sK9)),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_220 | ~spl52_221)), 14.34/2.48 inference(subsumption_resolution,[],[f4084,f2762])). 14.34/2.48 tff(f4084,plain,( 14.34/2.48 ~inv1(app_proj_21(sK9)) | inv1(app3(app_proj_21(sK9),sK6,$sum(length4(app_proj_21(sK9)),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_221)), 14.34/2.48 inference(resolution,[],[f2768,f1827])). 14.34/2.48 tff(f4092,plain,( 14.34/2.48 spl52_309 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_220 | ~spl52_221 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f4087,f3012,f2766,f2760,f1286,f1036,f766,f4089])). 14.34/2.48 tff(f4089,plain,( 14.34/2.48 spl52_309 <=> inv1(app3(app_proj_21(sK9),sK8,$sum(length4(app_proj_21(sK9)),sF22)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_309])])). 14.34/2.48 tff(f4087,plain,( 14.34/2.48 inv1(app3(app_proj_21(sK9),sK8,$sum(length4(app_proj_21(sK9)),sF22))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_220 | ~spl52_221 | ~spl52_249)), 14.34/2.48 inference(forward_demodulation,[],[f4086,f3014])). 14.34/2.48 tff(f4082,plain,( 14.34/2.48 ~spl52_308 | spl52_145 | ~spl52_248 | ~spl52_259), 14.34/2.48 inference(avatar_split_clause,[],[f4077,f3311,f3005,f1684,f4079])). 14.34/2.48 tff(f4079,plain,( 14.34/2.48 spl52_308 <=> sK9 = str1(str_proj_11(sK9),0,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_308])])). 14.34/2.48 tff(f4077,plain,( 14.34/2.48 sK9 != str1(str_proj_11(sK9),0,0) | (spl52_145 | ~spl52_248 | ~spl52_259)), 14.34/2.48 inference(forward_demodulation,[],[f4072,f3313])). 14.34/2.48 tff(f4072,plain,( 14.34/2.48 sK9 != str1(str_proj_11(sK9),0,sF38) | (spl52_145 | ~spl52_248)), 14.34/2.48 inference(superposition,[],[f1685,f3007])). 14.34/2.48 tff(f1685,plain,( 14.34/2.48 sK9 != str1(str_proj_11(sK9),str_proj_21(sK9),sF38) | spl52_145), 14.34/2.48 inference(avatar_component_clause,[],[f1684])). 14.34/2.48 tff(f4010,plain,( 14.34/2.48 spl52_307 | ~spl52_43 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_239 | ~spl52_251), 14.34/2.48 inference(avatar_split_clause,[],[f4005,f3044,f2915,f1362,f1128,f811,f766,f4007])). 14.34/2.48 tff(f4007,plain,( 14.34/2.48 spl52_307 <=> inv1(app3(sK8,sK6,$sum(sF22,sF47)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_307])])). 14.34/2.48 tff(f2915,plain,( 14.34/2.48 spl52_239 <=> sF22 = length4(sK8)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_239])])). 14.34/2.48 tff(f3044,plain,( 14.34/2.48 spl52_251 <=> $less(0,sF22)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_251])])). 14.34/2.48 tff(f4005,plain,( 14.34/2.48 inv1(app3(sK8,sK6,$sum(sF22,sF47))) | (~spl52_43 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_239 | ~spl52_251)), 14.34/2.48 inference(subsumption_resolution,[],[f4004,f3046])). 14.34/2.48 tff(f3046,plain,( 14.34/2.48 $less(0,sF22) | ~spl52_251), 14.34/2.48 inference(avatar_component_clause,[],[f3044])). 14.34/2.48 tff(f4004,plain,( 14.34/2.48 ~$less(0,sF22) | inv1(app3(sK8,sK6,$sum(sF22,sF47))) | (~spl52_43 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_239)), 14.34/2.48 inference(subsumption_resolution,[],[f3996,f768])). 14.34/2.48 tff(f3996,plain,( 14.34/2.48 ~inv1(sK8) | ~$less(0,sF22) | inv1(app3(sK8,sK6,$sum(sF22,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_239)), 14.34/2.48 inference(superposition,[],[f1827,f2917])). 14.34/2.48 tff(f2917,plain,( 14.34/2.48 sF22 = length4(sK8) | ~spl52_239), 14.34/2.48 inference(avatar_component_clause,[],[f2915])). 14.34/2.48 tff(f4003,plain,( 14.34/2.48 spl52_306 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_239 | ~spl52_251), 14.34/2.48 inference(avatar_split_clause,[],[f3998,f3044,f2915,f1286,f1036,f766,f4000])). 14.34/2.48 tff(f4000,plain,( 14.34/2.48 spl52_306 <=> inv1(app3(sK8,sK8,$sum(sF22,length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_306])])). 14.34/2.48 tff(f3998,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF22,length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_239 | ~spl52_251)), 14.34/2.48 inference(subsumption_resolution,[],[f3997,f3046])). 14.34/2.48 tff(f3997,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF22,length3(sF35)))) | ~$less(0,sF22) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_239)), 14.34/2.48 inference(subsumption_resolution,[],[f3995,f768])). 14.34/2.48 tff(f3995,plain,( 14.34/2.48 ~inv1(sK8) | inv1(app3(sK8,sK8,$sum(sF22,length3(sF35)))) | ~$less(0,sF22) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_239)), 14.34/2.48 inference(superposition,[],[f1825,f2917])). 14.34/2.48 tff(f3979,plain,( 14.34/2.48 spl52_305 | spl52_188), 14.34/2.48 inference(avatar_split_clause,[],[f3957,f2325,f3977])). 14.34/2.48 tff(f3977,plain,( 14.34/2.48 spl52_305 <=> ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_305])])). 14.34/2.48 tff(f2325,plain,( 14.34/2.48 spl52_188 <=> infix_eqeq1(empty1,empty1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_188])])). 14.34/2.48 tff(f3957,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | $less(X1,0) | infix_eqeq1(empty1,empty1)) )), 14.34/2.48 inference(duplicate_literal_removal,[],[f3953])). 14.34/2.48 tff(f3953,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | infix_eqeq1(empty1,empty1) | $less(X1,0) | $less(X1,0) | $less(length5(rope,t2tb1(X0)),X1)) )), 14.34/2.48 inference(superposition,[],[f403,f1510])). 14.34/2.48 tff(f1510,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : array_rope] : (empty1 = string_of_array1(X1,X0,X0) | $less(length5(rope,t2tb1(X1)),X0) | $less(X0,0)) )), 14.34/2.48 inference(resolution,[],[f403,f359])). 14.34/2.48 tff(f403,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : (infix_eqeq1(string_of_array1(X0,X1,X1),empty1) | $less(X1,0) | $less(length5(rope,t2tb1(X0)),X1)) )), 14.34/2.48 inference(cnf_transformation,[],[f237])). 14.34/2.48 tff(f237,plain,( 14.34/2.48 ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | $less(X1,0) | infix_eqeq1(string_of_array1(X0,X1,X1),empty1))), 14.34/2.48 inference(flattening,[],[f236])). 14.34/2.48 tff(f236,plain,( 14.34/2.48 ! [X0 : array_rope,X1 : $int] : (infix_eqeq1(string_of_array1(X0,X1,X1),empty1) | ($less(X1,0) | $less(length5(rope,t2tb1(X0)),X1)))), 14.34/2.48 inference(ennf_transformation,[],[f169])). 14.34/2.48 tff(f169,plain,( 14.34/2.48 ! [X0 : array_rope,X1 : $int] : ((~$less(X1,0) & ~$less(length5(rope,t2tb1(X0)),X1)) => infix_eqeq1(string_of_array1(X0,X1,X1),empty1))), 14.34/2.48 inference(rectify,[],[f102])). 14.34/2.48 tff(f102,plain,( 14.34/2.48 ! [X3 : array_rope,X25 : $int] : ((~$less(X25,0) & ~$less(length5(rope,t2tb1(X3)),X25)) => infix_eqeq1(string_of_array1(X3,X25,X25),empty1))), 14.34/2.48 inference(theory_normalization,[],[f35])). 14.34/2.48 tff(f35,axiom,( 14.34/2.48 ! [X3 : array_rope,X25 : $int] : (($lesseq(0,X25) & $lesseq(X25,length5(rope,t2tb1(X3)))) => infix_eqeq1(string_of_array1(X3,X25,X25),empty1))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f3975,plain,( 14.34/2.48 spl52_304 | spl52_188), 14.34/2.48 inference(avatar_split_clause,[],[f3959,f2325,f3973])). 14.34/2.48 tff(f3959,plain,( 14.34/2.48 ( ! [X0 : array_rope] : (infix_eqeq1(empty1,empty1) | $less(length5(rope,t2tb1(X0)),0)) )), 14.34/2.48 inference(evaluation,[],[f3958])). 14.34/2.48 tff(f3958,plain,( 14.34/2.48 ( ! [X0 : array_rope] : ($less(length5(rope,t2tb1(X0)),0) | infix_eqeq1(empty1,empty1) | $less(0,0)) )), 14.34/2.48 inference(duplicate_literal_removal,[],[f3956])). 14.34/2.48 tff(f3956,plain,( 14.34/2.48 ( ! [X0 : array_rope] : (infix_eqeq1(empty1,empty1) | $less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X0)),0) | $less(0,0)) )), 14.34/2.48 inference(superposition,[],[f1508,f1510])). 14.34/2.48 tff(f1508,plain,( 14.34/2.48 ( ! [X0 : array_rope] : (infix_eqeq1(string_of_array1(X0,0,0),empty1) | $less(length5(rope,t2tb1(X0)),0)) )), 14.34/2.48 inference(interpreted_simplification,[],[f1507])). 14.34/2.48 tff(f1507,plain,( 14.34/2.48 ( ! [X0 : array_rope] : (infix_eqeq1(string_of_array1(X0,0,0),empty1) | $less(0,0) | $less(length5(rope,t2tb1(X0)),0)) )), 14.34/2.48 inference(instantiation,[],[f403])). 14.34/2.48 tff(f3971,plain,( 14.34/2.48 spl52_188 | spl52_303), 14.34/2.48 inference(avatar_split_clause,[],[f3967,f3969,f2325])). 14.34/2.48 tff(f3969,plain,( 14.34/2.48 spl52_303 <=> ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | $less(sK2(X1,X1,X0),X1) | $less(X1,0) | $less(length5(rope,t2tb1(X0)),0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_303])])). 14.34/2.48 tff(f3967,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),X1) | infix_eqeq1(empty1,empty1) | $less(length5(rope,t2tb1(X0)),0) | $less(X1,0) | $less(sK2(X1,X1,X0),X1)) )), 14.34/2.48 inference(subsumption_resolution,[],[f3960,f127])). 14.34/2.48 tff(f3960,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : (infix_eqeq1(empty1,empty1) | $less(sK2(X1,X1,X0),X1) | $less(X1,X1) | $less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X0)),X1) | $less(X1,0)) )), 14.34/2.48 inference(duplicate_literal_removal,[],[f3955])). 14.34/2.48 tff(f3955,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : ($less(X1,0) | $less(length5(rope,t2tb1(X0)),X1) | infix_eqeq1(empty1,empty1) | $less(length5(rope,t2tb1(X0)),0) | $less(X1,X1) | $less(sK2(X1,X1,X0),X1) | $less(X1,0) | $less(length5(rope,t2tb1(X0)),X1)) )), 14.34/2.48 inference(superposition,[],[f419,f1510])). 14.34/2.48 tff(f3966,plain,( 14.34/2.48 spl52_302 | spl52_188), 14.34/2.48 inference(avatar_split_clause,[],[f3962,f2325,f3964])). 14.34/2.48 tff(f3964,plain,( 14.34/2.48 spl52_302 <=> ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),0) | $less(length5(rope,t2tb1(X0)),X1) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(sK2(X1,X1,X0)))) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_302])])). 14.34/2.48 tff(f3962,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : ($less(length5(rope,t2tb1(X0)),0) | $less(X1,0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(sK2(X1,X1,X0)))) | infix_eqeq1(empty1,empty1) | $less(length5(rope,t2tb1(X0)),X1)) )), 14.34/2.48 inference(subsumption_resolution,[],[f3961,f127])). 14.34/2.48 tff(f3961,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : ($less(X1,X1) | infix_eqeq1(empty1,empty1) | $less(length5(rope,t2tb1(X0)),X1) | $less(X1,0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(sK2(X1,X1,X0)))) | $less(length5(rope,t2tb1(X0)),0)) )), 14.34/2.48 inference(duplicate_literal_removal,[],[f3954])). 14.34/2.48 tff(f3954,plain,( 14.34/2.48 ( ! [X0 : array_rope,X1 : $int] : (emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(X0)),t2tb(sK2(X1,X1,X0)))) | $less(length5(rope,t2tb1(X0)),0) | $less(X1,X1) | infix_eqeq1(empty1,empty1) | $less(X1,0) | $less(length5(rope,t2tb1(X0)),X1) | $less(length5(rope,t2tb1(X0)),X1) | $less(X1,0)) )), 14.34/2.48 inference(superposition,[],[f491,f1510])). 14.34/2.48 tff(f3949,plain,( 14.34/2.48 ~spl52_231 | ~spl52_84 | spl52_226), 14.34/2.48 inference(avatar_split_clause,[],[f3948,f2806,f1036,f2832])). 14.34/2.48 tff(f3948,plain,( 14.34/2.48 sF20 != length3(sF35) | (~spl52_84 | spl52_226)), 14.34/2.48 inference(superposition,[],[f2807,f1038])). 14.34/2.48 tff(f2807,plain,( 14.34/2.48 sF20 != length4(sK8) | spl52_226), 14.34/2.48 inference(avatar_component_clause,[],[f2806])). 14.34/2.48 tff(f3946,plain,( 14.34/2.48 spl52_301 | ~spl52_31 | ~spl52_300), 14.34/2.48 inference(avatar_split_clause,[],[f3940,f3936,f706,f3943])). 14.34/2.48 tff(f3943,plain,( 14.34/2.48 spl52_301 <=> sF42 = match_rope1(int,sK9,sF19,sF19,sF41)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_301])])). 14.34/2.48 tff(f3936,plain,( 14.34/2.48 spl52_300 <=> sF19 = sF39), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_300])])). 14.34/2.48 tff(f3940,plain,( 14.34/2.48 sF42 = match_rope1(int,sK9,sF19,sF19,sF41) | (~spl52_31 | ~spl52_300)), 14.34/2.48 inference(superposition,[],[f708,f3938])). 14.34/2.48 tff(f3938,plain,( 14.34/2.48 sF19 = sF39 | ~spl52_300), 14.34/2.48 inference(avatar_component_clause,[],[f3936])). 14.34/2.48 tff(f3939,plain,( 14.34/2.48 spl52_300 | ~spl52_20 | ~spl52_51 | ~spl52_259), 14.34/2.48 inference(avatar_split_clause,[],[f3934,f3311,f806,f651,f3936])). 14.34/2.48 tff(f651,plain,( 14.34/2.48 spl52_20 <=> t2tb(sF38) = sF39), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_20])])). 14.34/2.48 tff(f3934,plain,( 14.34/2.48 sF19 = sF39 | (~spl52_20 | ~spl52_51 | ~spl52_259)), 14.34/2.48 inference(forward_demodulation,[],[f3928,f808])). 14.34/2.48 tff(f3928,plain,( 14.34/2.48 t2tb(0) = sF39 | (~spl52_20 | ~spl52_259)), 14.34/2.48 inference(superposition,[],[f653,f3313])). 14.34/2.48 tff(f653,plain,( 14.34/2.48 t2tb(sF38) = sF39 | ~spl52_20), 14.34/2.48 inference(avatar_component_clause,[],[f651])). 14.34/2.48 tff(f3933,plain,( 14.34/2.48 ~spl52_299 | spl52_145 | ~spl52_259), 14.34/2.48 inference(avatar_split_clause,[],[f3925,f3311,f1684,f3930])). 14.34/2.48 tff(f3930,plain,( 14.34/2.48 spl52_299 <=> sK9 = str1(str_proj_11(sK9),str_proj_21(sK9),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_299])])). 14.34/2.48 tff(f3925,plain,( 14.34/2.48 sK9 != str1(str_proj_11(sK9),str_proj_21(sK9),0) | (spl52_145 | ~spl52_259)), 14.34/2.48 inference(superposition,[],[f1685,f3313])). 14.34/2.48 tff(f3865,plain,( 14.34/2.48 spl52_296 | ~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_129), 14.34/2.48 inference(avatar_split_clause,[],[f3864,f1410,f1362,f1286,f1036,f811,f766,f3840])). 14.34/2.48 tff(f3840,plain,( 14.34/2.48 spl52_296 <=> inv1(app3(sK6,sK8,$sum(sF47,length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_296])])). 14.34/2.48 tff(f1410,plain,( 14.34/2.48 spl52_129 <=> $less(0,sF47)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_129])])). 14.34/2.48 tff(f3864,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(sF47,length3(sF35)))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_129)), 14.34/2.48 inference(subsumption_resolution,[],[f3863,f813])). 14.34/2.48 tff(f3863,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(sF47,length3(sF35)))) | ~inv1(sK6) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_129)), 14.34/2.48 inference(subsumption_resolution,[],[f3834,f1412])). 14.34/2.48 tff(f1412,plain,( 14.34/2.48 $less(0,sF47) | ~spl52_129), 14.34/2.48 inference(avatar_component_clause,[],[f1410])). 14.34/2.48 tff(f3834,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(sF47,length3(sF35)))) | ~$less(0,sF47) | ~inv1(sK6) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_124)), 14.34/2.48 inference(superposition,[],[f1825,f1364])). 14.34/2.48 tff(f3862,plain,( 14.34/2.48 spl52_298 | ~spl52_43 | ~spl52_84 | ~spl52_115), 14.34/2.48 inference(avatar_split_clause,[],[f3857,f1286,f1036,f766,f3859])). 14.34/2.48 tff(f3857,plain,( 14.34/2.48 inv1(app3(sK8,sK8,length3(app2(sF35,sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115)), 14.34/2.48 inference(forward_demodulation,[],[f3856,f432])). 14.34/2.48 tff(f3856,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(length3(sF35),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115)), 14.34/2.48 inference(subsumption_resolution,[],[f3855,f1288])). 14.34/2.48 tff(f3855,plain,( 14.34/2.48 ~$less(0,length3(sF35)) | inv1(app3(sK8,sK8,$sum(length3(sF35),length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115)), 14.34/2.48 inference(subsumption_resolution,[],[f3835,f768])). 14.34/2.48 tff(f3835,plain,( 14.34/2.48 ~inv1(sK8) | inv1(app3(sK8,sK8,$sum(length3(sF35),length3(sF35)))) | ~$less(0,length3(sF35)) | (~spl52_43 | ~spl52_84 | ~spl52_115)), 14.34/2.48 inference(superposition,[],[f1825,f1038])). 14.34/2.48 tff(f3854,plain,( 14.34/2.48 spl52_297 | ~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f3853,f2777,f1286,f1256,f1250,f1036,f766,f3848])). 14.34/2.48 tff(f3848,plain,( 14.34/2.48 spl52_297 <=> inv1(app3(sK9,sK8,$sum(sF40,length3(sF35))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_297])])). 14.34/2.48 tff(f3853,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(sF40,length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_223)), 14.34/2.48 inference(forward_demodulation,[],[f3852,f2779])). 14.34/2.48 tff(f3851,plain,( 14.34/2.48 spl52_297 | ~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_115 | ~spl52_223 | ~spl52_281), 14.34/2.48 inference(avatar_split_clause,[],[f3846,f3534,f2777,f1286,f1250,f1036,f766,f3848])). 14.34/2.48 tff(f3534,plain,( 14.34/2.48 spl52_281 <=> $less(0,sF40)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_281])])). 14.34/2.48 tff(f3846,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(sF40,length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_115 | ~spl52_223 | ~spl52_281)), 14.34/2.48 inference(subsumption_resolution,[],[f3845,f1252])). 14.34/2.48 tff(f3845,plain,( 14.34/2.48 ~inv1(sK9) | inv1(app3(sK9,sK8,$sum(sF40,length3(sF35)))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_223 | ~spl52_281)), 14.34/2.48 inference(subsumption_resolution,[],[f3836,f3535])). 14.34/2.48 tff(f3535,plain,( 14.34/2.48 $less(0,sF40) | ~spl52_281), 14.34/2.48 inference(avatar_component_clause,[],[f3534])). 14.34/2.48 tff(f3836,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(sF40,length3(sF35)))) | ~$less(0,sF40) | ~inv1(sK9) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_223)), 14.34/2.48 inference(superposition,[],[f1825,f2779])). 14.34/2.48 tff(f3843,plain,( 14.34/2.48 spl52_296 | ~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f3838,f1362,f1286,f1128,f1036,f811,f766,f3840])). 14.34/2.48 tff(f3838,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(sF47,length3(sF35)))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f3837,f1364])). 14.34/2.48 tff(f3837,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(length4(sK6),length3(sF35)))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115)), 14.34/2.48 inference(subsumption_resolution,[],[f3827,f813])). 14.34/2.48 tff(f3827,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(length4(sK6),length3(sF35)))) | ~inv1(sK6) | (~spl52_43 | ~spl52_84 | ~spl52_98 | ~spl52_115)), 14.34/2.48 inference(resolution,[],[f1825,f1130])). 14.34/2.48 tff(f3826,plain,( 14.34/2.48 spl52_282 | ~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_223 | ~spl52_281), 14.34/2.48 inference(avatar_split_clause,[],[f3825,f3534,f2777,f1362,f1250,f1128,f811,f3538])). 14.34/2.48 tff(f3825,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(sF40,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_223 | ~spl52_281)), 14.34/2.48 inference(subsumption_resolution,[],[f3824,f3535])). 14.34/2.48 tff(f3824,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(sF40,sF47))) | ~$less(0,sF40) | (~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_223)), 14.34/2.48 inference(subsumption_resolution,[],[f3823,f1252])). 14.34/2.48 tff(f3823,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(sF40,sF47))) | ~inv1(sK9) | ~$less(0,sF40) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_223)), 14.34/2.48 inference(superposition,[],[f1827,f2779])). 14.34/2.48 tff(f3820,plain,( 14.34/2.48 spl52_294 | spl52_295 | spl52_280), 14.34/2.48 inference(avatar_split_clause,[],[f3811,f3528,f3817,f3814])). 14.34/2.48 tff(f3817,plain,( 14.34/2.48 spl52_295 <=> 0 = sF40), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_295])])). 14.34/2.48 tff(f3528,plain,( 14.34/2.48 spl52_280 <=> $less(sF40,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_280])])). 14.34/2.48 tff(f3811,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF40) | 0 = sF40) ) | spl52_280), 14.34/2.48 inference(resolution,[],[f3530,f1052])). 14.34/2.48 tff(f3530,plain,( 14.34/2.48 ~$less(sF40,0) | spl52_280), 14.34/2.48 inference(avatar_component_clause,[],[f3528])). 14.34/2.48 tff(f3794,plain,( 14.34/2.48 spl52_270 | ~spl52_225 | ~spl52_224), 14.34/2.48 inference(avatar_split_clause,[],[f3792,f2783,f2789,f3417])). 14.34/2.48 tff(f3417,plain,( 14.34/2.48 spl52_270 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | inv1(app3(X0,app_proj_11(sK9),$sum(length4(X0),length4(app_proj_11(sK9))))) | ~inv1(X0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_270])])). 14.34/2.48 tff(f3792,plain,( 14.34/2.48 ( ! [X0 : rope1] : (inv1(app3(X0,app_proj_11(sK9),$sum(length4(X0),length4(app_proj_11(sK9))))) | ~$less(0,length4(X0)) | ~$less(0,length4(app_proj_11(sK9))) | ~inv1(X0)) ) | ~spl52_224), 14.34/2.48 inference(resolution,[],[f2785,f500])). 14.34/2.48 tff(f3791,plain,( 14.34/2.48 spl52_268 | ~spl52_221 | ~spl52_220), 14.34/2.48 inference(avatar_split_clause,[],[f3789,f2760,f2766,f3383])). 14.34/2.48 tff(f3383,plain,( 14.34/2.48 spl52_268 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | inv1(app3(X0,app_proj_21(sK9),$sum(length4(X0),length4(app_proj_21(sK9))))) | ~inv1(X0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_268])])). 14.34/2.48 tff(f3789,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | inv1(app3(X0,app_proj_21(sK9),$sum(length4(X0),length4(app_proj_21(sK9))))) | ~$less(0,length4(app_proj_21(sK9)))) ) | ~spl52_220), 14.34/2.48 inference(resolution,[],[f2762,f500])). 14.34/2.48 tff(f3788,plain,( 14.34/2.48 spl52_259 | spl52_293 | spl52_215), 14.34/2.48 inference(avatar_split_clause,[],[f3781,f2708,f3786,f3311])). 14.34/2.48 tff(f3781,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | ~$less(X0,sF38) | 0 = sF38) ) | spl52_215), 14.34/2.48 inference(resolution,[],[f2709,f1052])). 14.34/2.48 tff(f3784,plain,( 14.34/2.48 spl52_259 | spl52_213 | spl52_215), 14.34/2.48 inference(avatar_split_clause,[],[f3783,f2708,f2695,f3311])). 14.34/2.48 tff(f3783,plain,( 14.34/2.48 0 = sF38 | (spl52_213 | spl52_215)), 14.34/2.48 inference(subsumption_resolution,[],[f3782,f2696])). 14.34/2.48 tff(f3780,plain,( 14.34/2.48 ~spl52_285 | spl52_252 | ~spl52_287), 14.34/2.48 inference(avatar_split_clause,[],[f3767,f3716,f3049,f3693])). 14.34/2.48 tff(f3049,plain,( 14.34/2.48 spl52_252 <=> 0 = sF22), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_252])])). 14.34/2.48 tff(f3716,plain,( 14.34/2.48 spl52_287 <=> sF20 = sF22), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_287])])). 14.34/2.48 tff(f3767,plain,( 14.34/2.48 0 != sF20 | (spl52_252 | ~spl52_287)), 14.34/2.48 inference(superposition,[],[f3050,f3718])). 14.34/2.48 tff(f3718,plain,( 14.34/2.48 sF20 = sF22 | ~spl52_287), 14.34/2.48 inference(avatar_component_clause,[],[f3716])). 14.34/2.48 tff(f3050,plain,( 14.34/2.48 0 != sF22 | spl52_252), 14.34/2.48 inference(avatar_component_clause,[],[f3049])). 14.34/2.48 tff(f3779,plain,( 14.34/2.48 spl52_292 | ~spl52_147 | ~spl52_287), 14.34/2.48 inference(avatar_split_clause,[],[f3766,f3716,f1697,f3776])). 14.34/2.48 tff(f3776,plain,( 14.34/2.48 spl52_292 <=> sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF20)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_292])])). 14.34/2.48 tff(f3766,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF20) | (~spl52_147 | ~spl52_287)), 14.34/2.48 inference(superposition,[],[f1699,f3718])). 14.34/2.48 tff(f1699,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | ~spl52_147), 14.34/2.48 inference(avatar_component_clause,[],[f1697])). 14.34/2.48 tff(f3774,plain,( 14.34/2.48 spl52_291 | ~spl52_32 | ~spl52_35 | ~spl52_287), 14.34/2.48 inference(avatar_split_clause,[],[f3769,f3716,f726,f711,f3771])). 14.34/2.48 tff(f3771,plain,( 14.34/2.48 spl52_291 <=> sF21 = sF23), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_291])])). 14.34/2.48 tff(f711,plain,( 14.34/2.48 spl52_32 <=> t2tb(sF22) = sF23), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_32])])). 14.34/2.48 tff(f726,plain,( 14.34/2.48 spl52_35 <=> t2tb(sF20) = sF21), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_35])])). 14.34/2.48 tff(f3769,plain,( 14.34/2.48 sF21 = sF23 | (~spl52_32 | ~spl52_35 | ~spl52_287)), 14.34/2.48 inference(forward_demodulation,[],[f3768,f728])). 14.34/2.48 tff(f728,plain,( 14.34/2.48 t2tb(sF20) = sF21 | ~spl52_35), 14.34/2.48 inference(avatar_component_clause,[],[f726])). 14.34/2.48 tff(f3768,plain,( 14.34/2.48 t2tb(sF20) = sF23 | (~spl52_32 | ~spl52_287)), 14.34/2.48 inference(superposition,[],[f713,f3718])). 14.34/2.48 tff(f713,plain,( 14.34/2.48 t2tb(sF22) = sF23 | ~spl52_32), 14.34/2.48 inference(avatar_component_clause,[],[f711])). 14.34/2.48 tff(f3763,plain,( 14.34/2.48 spl52_290 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_231 | ~spl52_233), 14.34/2.48 inference(avatar_split_clause,[],[f3762,f2842,f2832,f2806,f1286,f1036,f766,f3757])). 14.34/2.48 tff(f3762,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF20,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_231 | ~spl52_233)), 14.34/2.48 inference(subsumption_resolution,[],[f3761,f768])). 14.34/2.48 tff(f3761,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF20,sF20))) | ~inv1(sK8) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_231 | ~spl52_233)), 14.34/2.48 inference(subsumption_resolution,[],[f3729,f2844])). 14.34/2.48 tff(f3729,plain,( 14.34/2.48 ~$less(0,sF20) | ~inv1(sK8) | inv1(app3(sK8,sK8,$sum(sF20,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_226 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f3720,f2808])). 14.34/2.48 tff(f3720,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,sK8,$sum(length4(X0),sF20)))) ) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(forward_demodulation,[],[f1825,f2834])). 14.34/2.48 tff(f3760,plain,( 14.34/2.48 spl52_290 | ~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f3755,f2832,f1286,f1036,f766,f3757])). 14.34/2.48 tff(f3755,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(sF20,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(forward_demodulation,[],[f3754,f2834])). 14.34/2.48 tff(f3754,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(length3(sF35),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3753,f1288])). 14.34/2.48 tff(f3753,plain,( 14.34/2.48 inv1(app3(sK8,sK8,$sum(length3(sF35),sF20))) | ~$less(0,length3(sF35)) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3730,f768])). 14.34/2.48 tff(f3730,plain,( 14.34/2.48 ~inv1(sK8) | ~$less(0,length3(sF35)) | inv1(app3(sK8,sK8,$sum(length3(sF35),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f3720,f1038])). 14.34/2.48 tff(f3752,plain,( 14.34/2.48 spl52_289 | ~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_115 | ~spl52_214 | ~spl52_215 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f3751,f2832,f2708,f2699,f1286,f1250,f1036,f766,f3746])). 14.34/2.48 tff(f3751,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(sF38,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_115 | ~spl52_214 | ~spl52_215 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3750,f1252])). 14.34/2.48 tff(f3750,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(sF38,sF20))) | ~inv1(sK9) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_214 | ~spl52_215 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3731,f2710])). 14.34/2.48 tff(f3731,plain,( 14.34/2.48 ~$less(0,sF38) | ~inv1(sK9) | inv1(app3(sK9,sK8,$sum(sF38,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_214 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f3720,f2701])). 14.34/2.48 tff(f3749,plain,( 14.34/2.48 spl52_289 | ~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_214 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f3744,f2832,f2699,f1286,f1256,f1250,f1036,f766,f3746])). 14.34/2.48 tff(f3744,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(sF38,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_214 | ~spl52_231)), 14.34/2.48 inference(forward_demodulation,[],[f3743,f2701])). 14.34/2.48 tff(f3743,plain,( 14.34/2.48 inv1(app3(sK9,sK8,$sum(length4(sK9),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_109 | ~spl52_110 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3722,f1252])). 14.34/2.48 tff(f3722,plain,( 14.34/2.48 ~inv1(sK9) | inv1(app3(sK9,sK8,$sum(length4(sK9),sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_110 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(resolution,[],[f3720,f1258])). 14.34/2.48 tff(f3742,plain,( 14.34/2.48 spl52_288 | ~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f3741,f2832,f1362,f1286,f1128,f1036,f811,f766,f3736])). 14.34/2.48 tff(f3741,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(sF47,sF20))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124 | ~spl52_231)), 14.34/2.48 inference(forward_demodulation,[],[f3740,f1364])). 14.34/2.48 tff(f3740,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(length4(sK6),sF20))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3721,f813])). 14.34/2.48 tff(f3721,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(length4(sK6),sF20))) | ~inv1(sK6) | (~spl52_43 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_231)), 14.34/2.48 inference(resolution,[],[f3720,f1130])). 14.34/2.48 tff(f3739,plain,( 14.34/2.48 spl52_288 | ~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_129 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f3734,f2832,f1410,f1362,f1286,f1036,f811,f766,f3736])). 14.34/2.48 tff(f3734,plain,( 14.34/2.48 inv1(app3(sK6,sK8,$sum(sF47,sF20))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_129 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3733,f1412])). 14.34/2.48 tff(f3733,plain,( 14.34/2.48 ~$less(0,sF47) | inv1(app3(sK6,sK8,$sum(sF47,sF20))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_231)), 14.34/2.48 inference(subsumption_resolution,[],[f3728,f813])). 14.34/2.48 tff(f3728,plain,( 14.34/2.48 ~inv1(sK6) | ~$less(0,sF47) | inv1(app3(sK6,sK8,$sum(sF47,sF20))) | (~spl52_43 | ~spl52_84 | ~spl52_115 | ~spl52_124 | ~spl52_231)), 14.34/2.48 inference(superposition,[],[f3720,f1364])). 14.34/2.48 tff(f3719,plain,( 14.34/2.48 spl52_287 | ~spl52_226 | ~spl52_239), 14.34/2.48 inference(avatar_split_clause,[],[f3714,f2915,f2806,f3716])). 14.34/2.48 tff(f3714,plain,( 14.34/2.48 sF20 = sF22 | (~spl52_226 | ~spl52_239)), 14.34/2.48 inference(forward_demodulation,[],[f2917,f2808])). 14.34/2.48 tff(f3699,plain,( 14.34/2.48 spl52_285 | spl52_286 | spl52_232), 14.34/2.48 inference(avatar_split_clause,[],[f3690,f2836,f3697,f3693])). 14.34/2.48 tff(f3690,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,sF20) | ~$less(X0,0) | 0 = sF20) ) | spl52_232), 14.34/2.48 inference(resolution,[],[f2837,f1052])). 14.34/2.48 tff(f3689,plain,( 14.34/2.48 ~spl52_232 | ~spl52_231), 14.34/2.48 inference(avatar_split_clause,[],[f3688,f2832,f2836])). 14.34/2.48 tff(f3688,plain,( 14.34/2.48 ~$less(sF20,0) | ~spl52_231), 14.34/2.48 inference(superposition,[],[f405,f2834])). 14.34/2.48 tff(f3675,plain,( 14.34/2.48 spl52_284 | ~spl52_43 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_226 | ~spl52_233), 14.34/2.48 inference(avatar_split_clause,[],[f3670,f2842,f2806,f1362,f1128,f811,f766,f3672])). 14.34/2.48 tff(f3670,plain,( 14.34/2.48 inv1(app3(sK8,sK6,$sum(sF20,sF47))) | (~spl52_43 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_226 | ~spl52_233)), 14.34/2.48 inference(subsumption_resolution,[],[f3669,f2844])). 14.34/2.48 tff(f3669,plain,( 14.34/2.48 ~$less(0,sF20) | inv1(app3(sK8,sK6,$sum(sF20,sF47))) | (~spl52_43 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_226)), 14.34/2.48 inference(subsumption_resolution,[],[f3667,f768])). 14.34/2.48 tff(f3667,plain,( 14.34/2.48 ~inv1(sK8) | ~$less(0,sF20) | inv1(app3(sK8,sK6,$sum(sF20,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_226)), 14.34/2.48 inference(superposition,[],[f1827,f2808])). 14.34/2.48 tff(f3668,plain,( 14.34/2.48 spl52_231 | ~spl52_84 | ~spl52_226), 14.34/2.48 inference(avatar_split_clause,[],[f3666,f2806,f1036,f2832])). 14.34/2.48 tff(f3666,plain,( 14.34/2.48 sF20 = length3(sF35) | (~spl52_84 | ~spl52_226)), 14.34/2.48 inference(superposition,[],[f1038,f2808])). 14.34/2.48 tff(f3657,plain,( 14.34/2.48 ~spl52_279 | ~spl52_214 | spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f3656,f2777,f2699,f3523])). 14.34/2.48 tff(f3523,plain,( 14.34/2.48 spl52_279 <=> sF38 = sF40), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_279])])). 14.34/2.48 tff(f3656,plain,( 14.34/2.48 sF38 != sF40 | (~spl52_214 | spl52_223)), 14.34/2.48 inference(forward_demodulation,[],[f2778,f2701])). 14.34/2.48 tff(f2778,plain,( 14.34/2.48 sF40 != length4(sK9) | spl52_223), 14.34/2.48 inference(avatar_component_clause,[],[f2777])). 14.34/2.48 tff(f3655,plain,( 14.34/2.48 spl52_247 | spl52_248 | spl52_211), 14.34/2.48 inference(avatar_split_clause,[],[f3653,f2685,f3005,f3001])). 14.34/2.48 tff(f3653,plain,( 14.34/2.48 0 = str_proj_21(sK9) | $less(0,str_proj_21(sK9)) | spl52_211), 14.34/2.48 inference(resolution,[],[f2686,f129])). 14.34/2.48 tff(f3654,plain,( 14.34/2.48 spl52_263 | spl52_248 | spl52_211), 14.34/2.48 inference(avatar_split_clause,[],[f3652,f2685,f3005,f3333])). 14.34/2.48 tff(f3652,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,str_proj_21(sK9)) | 0 = str_proj_21(sK9) | ~$less(X0,0)) ) | spl52_211), 14.34/2.48 inference(resolution,[],[f2686,f1052])). 14.34/2.48 tff(f3650,plain,( 14.34/2.48 spl52_283 | ~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_214 | ~spl52_215), 14.34/2.48 inference(avatar_split_clause,[],[f3645,f2708,f2699,f1362,f1250,f1128,f811,f3647])). 14.34/2.48 tff(f3645,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(sF38,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_214 | ~spl52_215)), 14.34/2.48 inference(subsumption_resolution,[],[f3644,f1252])). 14.34/2.48 tff(f3644,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(sF38,sF47))) | ~inv1(sK9) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_214 | ~spl52_215)), 14.34/2.48 inference(subsumption_resolution,[],[f3643,f2710])). 14.34/2.48 tff(f3643,plain,( 14.34/2.48 ~$less(0,sF38) | inv1(app3(sK9,sK6,$sum(sF38,sF47))) | ~inv1(sK9) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_214)), 14.34/2.48 inference(superposition,[],[f1827,f2701])). 14.34/2.48 tff(f3640,plain,( 14.34/2.48 spl52_262 | ~spl52_251), 14.34/2.48 inference(avatar_split_clause,[],[f3639,f3044,f3329])). 14.34/2.48 tff(f3329,plain,( 14.34/2.48 spl52_262 <=> ! [X0 : $int] : ($less(X0,sF22) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_262])])). 14.34/2.48 tff(f3639,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,sF22) | ~$less(X0,0)) ) | ~spl52_251), 14.34/2.48 inference(resolution,[],[f3046,f128])). 14.34/2.48 tff(f3624,plain,( 14.34/2.48 spl52_251 | spl52_250 | spl52_252), 14.34/2.48 inference(avatar_split_clause,[],[f3623,f3049,f3039,f3044])). 14.34/2.48 tff(f3039,plain,( 14.34/2.48 spl52_250 <=> $less(sF22,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_250])])). 14.34/2.48 tff(f3623,plain,( 14.34/2.48 $less(0,sF22) | (spl52_250 | spl52_252)), 14.34/2.48 inference(subsumption_resolution,[],[f3620,f3050])). 14.34/2.48 tff(f3620,plain,( 14.34/2.48 $less(0,sF22) | 0 = sF22 | spl52_250), 14.34/2.48 inference(resolution,[],[f3041,f129])). 14.34/2.48 tff(f3041,plain,( 14.34/2.48 ~$less(sF22,0) | spl52_250), 14.34/2.48 inference(avatar_component_clause,[],[f3039])). 14.34/2.48 tff(f3622,plain,( 14.34/2.48 spl52_262 | spl52_250 | spl52_252), 14.34/2.48 inference(avatar_split_clause,[],[f3621,f3049,f3039,f3329])). 14.34/2.48 tff(f3621,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF22)) ) | (spl52_250 | spl52_252)), 14.34/2.48 inference(subsumption_resolution,[],[f3619,f3050])). 14.34/2.48 tff(f3619,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | 0 = sF22 | $less(X0,sF22)) ) | spl52_250), 14.34/2.48 inference(resolution,[],[f3041,f1052])). 14.34/2.48 tff(f3600,plain,( 14.34/2.48 ~spl52_237 | spl52_244 | ~spl52_240), 14.34/2.48 inference(avatar_split_clause,[],[f3598,f2921,f2950,f2903])). 14.34/2.48 tff(f2950,plain,( 14.34/2.48 spl52_244 <=> ! [X0 : rope1] : (inv1(app3(X0,app_proj_21(sK8),$sum(length4(X0),length4(app_proj_21(sK8))))) | ~inv1(X0) | ~$less(0,length4(X0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_244])])). 14.34/2.48 tff(f3598,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(app_proj_21(sK8))) | inv1(app3(X0,app_proj_21(sK8),$sum(length4(X0),length4(app_proj_21(sK8))))) | ~$less(0,length4(X0))) ) | ~spl52_240), 14.34/2.48 inference(resolution,[],[f2923,f500])). 14.34/2.48 tff(f3597,plain,( 14.34/2.48 spl52_243 | ~spl52_238 | ~spl52_236), 14.34/2.48 inference(avatar_split_clause,[],[f3595,f2897,f2909,f2939])). 14.34/2.48 tff(f2939,plain,( 14.34/2.48 spl52_243 <=> ! [X0 : rope1] : (~inv1(X0) | inv1(app3(X0,app_proj_11(sK8),$sum(length4(X0),length4(app_proj_11(sK8))))) | ~$less(0,length4(X0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_243])])). 14.34/2.48 tff(f3595,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~$less(0,length4(app_proj_11(sK8))) | inv1(app3(X0,app_proj_11(sK8),$sum(length4(X0),length4(app_proj_11(sK8))))) | ~inv1(X0)) ) | ~spl52_236), 14.34/2.48 inference(resolution,[],[f2899,f500])). 14.34/2.48 tff(f3567,plain,( 14.34/2.48 spl52_260 | ~spl52_215), 14.34/2.48 inference(avatar_split_clause,[],[f3566,f2708,f3315])). 14.34/2.48 tff(f3566,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,sF38) | ~$less(X0,0)) ) | ~spl52_215), 14.34/2.48 inference(resolution,[],[f2710,f128])). 14.34/2.48 tff(f3563,plain,( 14.34/2.48 spl52_211 | spl52_212 | spl52_209 | spl52_214 | ~spl52_117 | ~spl52_145 | spl52_213), 14.34/2.48 inference(avatar_split_clause,[],[f3562,f2695,f1684,f1297,f2699,f2678,f2689,f2685])). 14.34/2.48 tff(f3562,plain,( 14.34/2.48 sF38 = length4(sK9) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | (~spl52_117 | ~spl52_145 | spl52_213)), 14.34/2.48 inference(forward_demodulation,[],[f3561,f1299])). 14.34/2.48 tff(f3561,plain,( 14.34/2.48 sF38 = length3(string3(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | (~spl52_145 | spl52_213)), 14.34/2.48 inference(subsumption_resolution,[],[f3557,f2696])). 14.34/2.48 tff(f3557,plain,( 14.34/2.48 sF38 = length3(string3(sK9)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(sF38,0) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f488,f1686])). 14.34/2.48 tff(f3559,plain,( 14.34/2.48 spl52_211 | spl52_212 | spl52_209 | spl52_210 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f3558,f1684,f2682,f2678,f2689,f2685])). 14.34/2.48 tff(f3558,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(X0,0) | mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X0)) = mixfix_lbrb1(string3(sK9),X0) | ~$less(X0,sF38) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38))) ) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f2021,f1686])). 14.34/2.48 tff(f3546,plain,( 14.34/2.48 spl52_259 | spl52_260 | spl52_213), 14.34/2.48 inference(avatar_split_clause,[],[f3543,f2695,f3315,f3311])). 14.34/2.48 tff(f3543,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,sF38) | ~$less(X0,0) | 0 = sF38) ) | spl52_213), 14.34/2.48 inference(resolution,[],[f2696,f1052])). 14.34/2.48 tff(f3545,plain,( 14.34/2.48 spl52_259 | spl52_215 | spl52_213), 14.34/2.48 inference(avatar_split_clause,[],[f3544,f2695,f2708,f3311])). 14.34/2.48 tff(f3544,plain,( 14.34/2.48 0 = sF38 | $less(0,sF38) | spl52_213), 14.34/2.48 inference(resolution,[],[f2696,f129])). 14.34/2.48 tff(f3542,plain,( 14.34/2.48 spl52_281 | ~spl52_110 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f3520,f2777,f1256,f3534])). 14.34/2.48 tff(f3520,plain,( 14.34/2.48 $less(0,sF40) | (~spl52_110 | ~spl52_223)), 14.34/2.48 inference(superposition,[],[f1258,f2779])). 14.34/2.48 tff(f3541,plain,( 14.34/2.48 ~spl52_281 | spl52_282 | ~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f3532,f2777,f1362,f1250,f1128,f811,f3538,f3534])). 14.34/2.48 tff(f3532,plain,( 14.34/2.48 ~$less(0,sF40) | inv1(app3(sK9,sK6,$sum(sF40,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_124 | ~spl52_223)), 14.34/2.48 inference(subsumption_resolution,[],[f3521,f1252])). 14.34/2.48 tff(f3521,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(sF40,sF47))) | ~inv1(sK9) | ~$less(0,sF40) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_223)), 14.34/2.48 inference(superposition,[],[f1827,f2779])). 14.34/2.48 tff(f3531,plain,( 14.34/2.48 ~spl52_280 | spl52_139 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f3519,f2777,f1500,f3528])). 14.34/2.48 tff(f1500,plain,( 14.34/2.48 spl52_139 <=> $less(length4(sK9),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_139])])). 14.34/2.48 tff(f3519,plain,( 14.34/2.48 ~$less(sF40,0) | (spl52_139 | ~spl52_223)), 14.34/2.48 inference(superposition,[],[f1502,f2779])). 14.34/2.48 tff(f1502,plain,( 14.34/2.48 ~$less(length4(sK9),0) | spl52_139), 14.34/2.48 inference(avatar_component_clause,[],[f1500])). 14.34/2.48 tff(f3526,plain,( 14.34/2.48 ~spl52_279 | spl52_214 | ~spl52_223), 14.34/2.48 inference(avatar_split_clause,[],[f3518,f2777,f2699,f3523])). 14.34/2.48 tff(f3518,plain,( 14.34/2.48 sF38 != sF40 | (spl52_214 | ~spl52_223)), 14.34/2.48 inference(superposition,[],[f2700,f2779])). 14.34/2.48 tff(f2700,plain,( 14.34/2.48 sF38 != length4(sK9) | spl52_214), 14.34/2.48 inference(avatar_component_clause,[],[f2699])). 14.34/2.48 tff(f3516,plain,( 14.34/2.48 spl52_278 | spl52_277 | spl52_227), 14.34/2.48 inference(avatar_split_clause,[],[f3503,f2813,f3508,f3513])). 14.34/2.48 tff(f3503,plain,( 14.34/2.48 0 = str_proj_21(sK8) | $less(0,str_proj_21(sK8)) | spl52_227), 14.34/2.48 inference(resolution,[],[f2815,f129])). 14.34/2.48 tff(f3511,plain,( 14.34/2.48 spl52_276 | spl52_277 | spl52_227), 14.34/2.48 inference(avatar_split_clause,[],[f3502,f2813,f3508,f3505])). 14.34/2.48 tff(f3502,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,str_proj_21(sK8)) | 0 = str_proj_21(sK8)) ) | spl52_227), 14.34/2.48 inference(resolution,[],[f2815,f1052])). 14.34/2.48 tff(f3500,plain,( 14.34/2.48 spl52_275 | ~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_110 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f3495,f1362,f1256,f1250,f1128,f811,f3497])). 14.34/2.48 tff(f3495,plain,( 14.34/2.48 inv1(app3(sK9,sK6,$sum(length4(sK9),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_109 | ~spl52_110 | ~spl52_124)), 14.34/2.48 inference(subsumption_resolution,[],[f3469,f1252])). 14.34/2.48 tff(f3469,plain,( 14.34/2.48 ~inv1(sK9) | inv1(app3(sK9,sK6,$sum(length4(sK9),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_110 | ~spl52_124)), 14.34/2.48 inference(resolution,[],[f1827,f1258])). 14.34/2.48 tff(f3494,plain,( 14.34/2.48 spl52_273 | ~spl52_52 | ~spl52_98 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f3493,f1362,f1128,f811,f3481])). 14.34/2.48 tff(f3493,plain,( 14.34/2.48 inv1(app3(sK6,sK6,$sum(sF47,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f3492,f1364])). 14.34/2.48 tff(f3492,plain,( 14.34/2.48 inv1(app3(sK6,sK6,$sum(length4(sK6),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124)), 14.34/2.48 inference(subsumption_resolution,[],[f3468,f813])). 14.34/2.48 tff(f3468,plain,( 14.34/2.48 ~inv1(sK6) | inv1(app3(sK6,sK6,$sum(length4(sK6),sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124)), 14.34/2.48 inference(resolution,[],[f1827,f1130])). 14.34/2.48 tff(f3491,plain,( 14.34/2.48 spl52_274 | ~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f3486,f1362,f1286,f1128,f1036,f811,f766,f3488])). 14.34/2.48 tff(f3486,plain,( 14.34/2.48 inv1(app3(sK8,sK6,$sum(length3(sF35),sF47))) | (~spl52_43 | ~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124)), 14.34/2.48 inference(subsumption_resolution,[],[f3485,f768])). 14.34/2.48 tff(f3485,plain,( 14.34/2.48 ~inv1(sK8) | inv1(app3(sK8,sK6,$sum(length3(sF35),sF47))) | (~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_115 | ~spl52_124)), 14.34/2.48 inference(subsumption_resolution,[],[f3476,f1288])). 14.34/2.48 tff(f3476,plain,( 14.34/2.48 ~$less(0,length3(sF35)) | inv1(app3(sK8,sK6,$sum(length3(sF35),sF47))) | ~inv1(sK8) | (~spl52_52 | ~spl52_84 | ~spl52_98 | ~spl52_124)), 14.34/2.48 inference(superposition,[],[f1827,f1038])). 14.34/2.48 tff(f3484,plain,( 14.34/2.48 spl52_273 | ~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_129), 14.34/2.48 inference(avatar_split_clause,[],[f3479,f1410,f1362,f1128,f811,f3481])). 14.34/2.48 tff(f3479,plain,( 14.34/2.48 inv1(app3(sK6,sK6,$sum(sF47,sF47))) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_129)), 14.34/2.48 inference(subsumption_resolution,[],[f3478,f813])). 14.34/2.48 tff(f3478,plain,( 14.34/2.48 inv1(app3(sK6,sK6,$sum(sF47,sF47))) | ~inv1(sK6) | (~spl52_52 | ~spl52_98 | ~spl52_124 | ~spl52_129)), 14.34/2.48 inference(subsumption_resolution,[],[f3475,f1412])). 14.34/2.48 tff(f3475,plain,( 14.34/2.48 ~$less(0,sF47) | inv1(app3(sK6,sK6,$sum(sF47,sF47))) | ~inv1(sK6) | (~spl52_52 | ~spl52_98 | ~spl52_124)), 14.34/2.48 inference(superposition,[],[f1827,f1364])). 14.34/2.48 tff(f3443,plain,( 14.34/2.48 spl52_272 | ~spl52_10 | ~spl52_90 | ~spl52_100), 14.34/2.48 inference(avatar_split_clause,[],[f3438,f1154,f1079,f601,f3440])). 14.34/2.48 tff(f3440,plain,( 14.34/2.48 spl52_272 <=> mixfix_lbrb1(sF17,0) = mixfix_lbrb1(sF34,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_272])])). 14.34/2.48 tff(f1079,plain,( 14.34/2.48 spl52_90 <=> $less(0,sF18)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_90])])). 14.34/2.48 tff(f3438,plain,( 14.34/2.48 mixfix_lbrb1(sF17,0) = mixfix_lbrb1(sF34,0) | (~spl52_10 | ~spl52_90 | ~spl52_100)), 14.34/2.48 inference(subsumption_resolution,[],[f3427,f1081])). 14.34/2.48 tff(f1081,plain,( 14.34/2.48 $less(0,sF18) | ~spl52_90), 14.34/2.48 inference(avatar_component_clause,[],[f1079])). 14.34/2.48 tff(f3427,plain,( 14.34/2.48 ~$less(0,sF18) | mixfix_lbrb1(sF17,0) = mixfix_lbrb1(sF34,0) | (~spl52_10 | ~spl52_100)), 14.34/2.48 inference(interpreted_simplification,[],[f3426])). 14.34/2.48 tff(f3426,plain,( 14.34/2.48 mixfix_lbrb1(sF17,0) = mixfix_lbrb1(sF34,0) | ~$less(0,sF18) | $less(0,0) | (~spl52_10 | ~spl52_100)), 14.34/2.48 inference(instantiation,[],[f1573])). 14.34/2.48 tff(f3424,plain,( 14.34/2.48 spl52_271 | ~spl52_224), 14.34/2.48 inference(avatar_split_clause,[],[f3415,f2783,f3421])). 14.34/2.48 tff(f3421,plain,( 14.34/2.48 spl52_271 <=> length4(app_proj_11(sK9)) = length3(string3(app_proj_11(sK9)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_271])])). 14.34/2.48 tff(f3415,plain,( 14.34/2.48 length4(app_proj_11(sK9)) = length3(string3(app_proj_11(sK9))) | ~spl52_224), 14.34/2.48 inference(resolution,[],[f2785,f455])). 14.34/2.48 tff(f3419,plain,( 14.34/2.48 ~spl52_225 | spl52_270 | ~spl52_224), 14.34/2.48 inference(avatar_split_clause,[],[f3414,f2783,f3417,f2789])). 14.34/2.48 tff(f3414,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~inv1(X0) | inv1(app3(X0,app_proj_11(sK9),$sum(length4(X0),length4(app_proj_11(sK9))))) | ~$less(0,length4(app_proj_11(sK9)))) ) | ~spl52_224), 14.34/2.48 inference(resolution,[],[f2785,f500])). 14.34/2.48 tff(f3408,plain,( 14.34/2.48 spl52_230 | spl52_231 | spl52_228 | spl52_227 | spl52_232 | ~spl52_28 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f3407,f1701,f691,f2836,f2813,f2819,f2832,f2826])). 14.34/2.48 tff(f3407,plain,( 14.34/2.48 $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sF20 = length3(sF35) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(sF20,0) | (~spl52_28 | ~spl52_148)), 14.34/2.48 inference(forward_demodulation,[],[f3401,f693])). 14.34/2.48 tff(f3401,plain,( 14.34/2.48 $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | sF20 = length3(string3(sK8)) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(sF20,0) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f488,f1703])). 14.34/2.48 tff(f3405,plain,( 14.34/2.48 spl52_227 | spl52_230 | spl52_229 | spl52_228 | ~spl52_28 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f3404,f1701,f691,f2819,f2823,f2826,f2813])). 14.34/2.48 tff(f3404,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | ~$less(X0,sF20) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | mixfix_lbrb1(sF35,X0) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) | $less(str_proj_21(sK8),0) | $less(X0,0)) ) | (~spl52_28 | ~spl52_148)), 14.34/2.48 inference(forward_demodulation,[],[f3402,f693])). 14.34/2.48 tff(f3402,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(str_proj_21(sK8),0) | ~$less(X0,sF20) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) = mixfix_lbrb1(string3(sK8),X0) | $less(X0,0)) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f2021,f1703])). 14.34/2.48 tff(f3390,plain,( 14.34/2.48 spl52_269 | ~spl52_220), 14.34/2.48 inference(avatar_split_clause,[],[f3381,f2760,f3387])). 14.34/2.48 tff(f3387,plain,( 14.34/2.48 spl52_269 <=> length4(app_proj_21(sK9)) = length3(string3(app_proj_21(sK9)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_269])])). 14.34/2.48 tff(f3381,plain,( 14.34/2.48 length4(app_proj_21(sK9)) = length3(string3(app_proj_21(sK9))) | ~spl52_220), 14.34/2.48 inference(resolution,[],[f2762,f455])). 14.34/2.48 tff(f3385,plain,( 14.34/2.48 ~spl52_221 | spl52_268 | ~spl52_220), 14.34/2.48 inference(avatar_split_clause,[],[f3380,f2760,f3383,f2766])). 14.34/2.48 tff(f3380,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~$less(0,length4(app_proj_21(sK9))) | ~inv1(X0) | inv1(app3(X0,app_proj_21(sK9),$sum(length4(X0),length4(app_proj_21(sK9)))))) ) | ~spl52_220), 14.34/2.48 inference(resolution,[],[f2762,f500])). 14.34/2.48 tff(f3361,plain,( 14.34/2.48 spl52_266 | spl52_267 | spl52_139), 14.34/2.48 inference(avatar_split_clause,[],[f3289,f1500,f3358,f3355])). 14.34/2.48 tff(f3358,plain,( 14.34/2.48 spl52_267 <=> 0 = length4(sK9)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_267])])). 14.34/2.48 tff(f3289,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = length4(sK9) | ~$less(X0,0) | $less(X0,length4(sK9))) ) | spl52_139), 14.34/2.48 inference(resolution,[],[f1052,f1502])). 14.34/2.48 tff(f3353,plain,( 14.34/2.48 spl52_265 | ~spl52_147 | ~spl52_252), 14.34/2.48 inference(avatar_split_clause,[],[f3339,f3049,f1697,f3350])). 14.34/2.48 tff(f3350,plain,( 14.34/2.48 spl52_265 <=> sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_265])])). 14.34/2.48 tff(f3339,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),0) | (~spl52_147 | ~spl52_252)), 14.34/2.48 inference(superposition,[],[f1699,f3051])). 14.34/2.48 tff(f3051,plain,( 14.34/2.48 0 = sF22 | ~spl52_252), 14.34/2.48 inference(avatar_component_clause,[],[f3049])). 14.34/2.48 tff(f3348,plain,( 14.34/2.48 spl52_264 | ~spl52_32 | ~spl52_51 | ~spl52_252), 14.34/2.48 inference(avatar_split_clause,[],[f3343,f3049,f806,f711,f3345])). 14.34/2.48 tff(f3345,plain,( 14.34/2.48 spl52_264 <=> sF19 = sF23), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_264])])). 14.34/2.48 tff(f3343,plain,( 14.34/2.48 sF19 = sF23 | (~spl52_32 | ~spl52_51 | ~spl52_252)), 14.34/2.48 inference(forward_demodulation,[],[f3340,f808])). 14.34/2.48 tff(f3340,plain,( 14.34/2.48 t2tb(0) = sF23 | (~spl52_32 | ~spl52_252)), 14.34/2.48 inference(superposition,[],[f713,f3051])). 14.34/2.48 tff(f3342,plain,( 14.34/2.48 ~spl52_251 | ~spl52_252), 14.34/2.48 inference(avatar_contradiction_clause,[],[f3341])). 14.34/2.48 tff(f3341,plain,( 14.34/2.48 $false | (~spl52_251 | ~spl52_252)), 14.34/2.48 inference(evaluation,[],[f3337])). 14.34/2.48 tff(f3337,plain,( 14.34/2.48 $less(0,0) | (~spl52_251 | ~spl52_252)), 14.34/2.48 inference(superposition,[],[f3046,f3051])). 14.34/2.48 tff(f3335,plain,( 14.34/2.48 spl52_248 | spl52_263 | spl52_211), 14.34/2.48 inference(avatar_split_clause,[],[f3287,f2685,f3333,f3005])). 14.34/2.48 tff(f3287,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | 0 = str_proj_21(sK9) | $less(X0,str_proj_21(sK9))) ) | spl52_211), 14.34/2.48 inference(resolution,[],[f1052,f2686])). 14.34/2.48 tff(f3331,plain,( 14.34/2.48 spl52_262 | spl52_252 | spl52_250), 14.34/2.48 inference(avatar_split_clause,[],[f3301,f3039,f3049,f3329])). 14.34/2.48 tff(f3301,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = sF22 | $less(X0,sF22) | ~$less(X0,0)) ) | spl52_250), 14.34/2.48 inference(resolution,[],[f1052,f3041])). 14.34/2.48 tff(f3327,plain,( 14.34/2.48 spl52_130 | spl52_261 | spl52_97 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f3326,f1362,f1122,f3319,f1416])). 14.34/2.48 tff(f1416,plain,( 14.34/2.48 spl52_130 <=> 0 = sF47), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_130])])). 14.34/2.48 tff(f3319,plain,( 14.34/2.48 spl52_261 <=> ! [X0 : $int] : ($less(X0,sF47) | ~$less(X0,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_261])])). 14.34/2.48 tff(f1122,plain,( 14.34/2.48 spl52_97 <=> $less(length4(sK6),0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_97])])). 14.34/2.48 tff(f3326,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = sF47 | $less(X0,sF47) | ~$less(X0,0)) ) | (spl52_97 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f3325,f1364])). 14.34/2.48 tff(f3325,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sF47) | 0 = length4(sK6)) ) | (spl52_97 | ~spl52_124)), 14.34/2.48 inference(forward_demodulation,[],[f3288,f1364])). 14.34/2.48 tff(f3288,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,length4(sK6)) | ~$less(X0,0) | 0 = length4(sK6)) ) | spl52_97), 14.34/2.48 inference(resolution,[],[f1052,f1124])). 14.34/2.48 tff(f1124,plain,( 14.34/2.48 ~$less(length4(sK6),0) | spl52_97), 14.34/2.48 inference(avatar_component_clause,[],[f1122])). 14.34/2.48 tff(f3322,plain,( 14.34/2.48 spl52_259 | spl52_260 | spl52_213), 14.34/2.48 inference(avatar_split_clause,[],[f3303,f2695,f3315,f3311])). 14.34/2.48 tff(f3303,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = sF38 | ~$less(X0,0) | $less(X0,sF38)) ) | spl52_213), 14.34/2.48 inference(resolution,[],[f1052,f2696])). 14.34/2.48 tff(f3321,plain,( 14.34/2.48 spl52_130 | spl52_261 | spl52_128), 14.34/2.48 inference(avatar_split_clause,[],[f3305,f1405,f3319,f1416])). 14.34/2.48 tff(f1405,plain,( 14.34/2.48 spl52_128 <=> $less(sF47,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_128])])). 14.34/2.48 tff(f3305,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,sF47) | 0 = sF47 | ~$less(X0,0)) ) | spl52_128), 14.34/2.48 inference(resolution,[],[f1052,f1407])). 14.34/2.48 tff(f1407,plain,( 14.34/2.48 ~$less(sF47,0) | spl52_128), 14.34/2.48 inference(avatar_component_clause,[],[f1405])). 14.34/2.48 tff(f3317,plain,( 14.34/2.48 spl52_259 | spl52_260 | spl52_139 | ~spl52_214), 14.34/2.48 inference(avatar_split_clause,[],[f3309,f2699,f1500,f3315,f3311])). 14.34/2.48 tff(f3309,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = sF38 | ~$less(X0,0) | $less(X0,sF38)) ) | (spl52_139 | ~spl52_214)), 14.34/2.48 inference(forward_demodulation,[],[f3308,f2701])). 14.34/2.48 tff(f3308,plain,( 14.34/2.48 ( ! [X0 : $int] : (0 = sF38 | $less(X0,length4(sK9)) | ~$less(X0,0)) ) | (spl52_139 | ~spl52_214)), 14.34/2.48 inference(forward_demodulation,[],[f3289,f2701])). 14.34/2.48 tff(f3274,plain,( 14.34/2.48 spl52_258 | ~spl52_41 | ~spl52_256), 14.34/2.48 inference(avatar_split_clause,[],[f3262,f3221,f756,f3271])). 14.34/2.48 tff(f756,plain,( 14.34/2.48 spl52_41 <=> $sum(sF18,sF50) = sF51), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_41])])). 14.34/2.48 tff(f3221,plain,( 14.34/2.48 spl52_256 <=> sF47 = sF50), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_256])])). 14.34/2.48 tff(f3262,plain,( 14.34/2.48 sF51 = $sum(sF18,sF47) | (~spl52_41 | ~spl52_256)), 14.34/2.48 inference(superposition,[],[f758,f3223])). 14.34/2.48 tff(f3223,plain,( 14.34/2.48 sF47 = sF50 | ~spl52_256), 14.34/2.48 inference(avatar_component_clause,[],[f3221])). 14.34/2.48 tff(f758,plain,( 14.34/2.48 $sum(sF18,sF50) = sF51 | ~spl52_41), 14.34/2.48 inference(avatar_component_clause,[],[f756])). 14.34/2.48 tff(f3268,plain,( 14.34/2.48 spl52_257 | ~spl52_161 | ~spl52_256), 14.34/2.48 inference(avatar_split_clause,[],[f3261,f3221,f1868,f3265])). 14.34/2.48 tff(f3265,plain,( 14.34/2.48 spl52_257 <=> $less(sF47,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_257])])). 14.34/2.48 tff(f1868,plain,( 14.34/2.48 spl52_161 <=> $less(sF50,sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_161])])). 14.34/2.48 tff(f3261,plain,( 14.34/2.48 $less(sF47,sF28) | (~spl52_161 | ~spl52_256)), 14.34/2.48 inference(superposition,[],[f1870,f3223])). 14.34/2.48 tff(f1870,plain,( 14.34/2.48 $less(sF50,sF28) | ~spl52_161), 14.34/2.48 inference(avatar_component_clause,[],[f1868])). 14.34/2.48 tff(f3224,plain,( 14.34/2.48 spl52_256 | ~spl52_58 | ~spl52_85 | ~spl52_255), 14.34/2.48 inference(avatar_split_clause,[],[f3219,f3182,f1043,f841,f3221])). 14.34/2.48 tff(f841,plain,( 14.34/2.48 spl52_58 <=> tb2t(sF49) = sF50), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_58])])). 14.34/2.48 tff(f1043,plain,( 14.34/2.48 spl52_85 <=> sF47 = tb2t(sF48)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_85])])). 14.34/2.48 tff(f3182,plain,( 14.34/2.48 spl52_255 <=> sF48 = sF49), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_255])])). 14.34/2.48 tff(f3219,plain,( 14.34/2.48 sF47 = sF50 | (~spl52_58 | ~spl52_85 | ~spl52_255)), 14.34/2.48 inference(forward_demodulation,[],[f3218,f1045])). 14.34/2.48 tff(f1045,plain,( 14.34/2.48 sF47 = tb2t(sF48) | ~spl52_85), 14.34/2.48 inference(avatar_component_clause,[],[f1043])). 14.34/2.48 tff(f3218,plain,( 14.34/2.48 sF50 = tb2t(sF48) | (~spl52_58 | ~spl52_255)), 14.34/2.48 inference(superposition,[],[f843,f3184])). 14.34/2.48 tff(f3184,plain,( 14.34/2.48 sF48 = sF49 | ~spl52_255), 14.34/2.48 inference(avatar_component_clause,[],[f3182])). 14.34/2.48 tff(f843,plain,( 14.34/2.48 tb2t(sF49) = sF50 | ~spl52_58), 14.34/2.48 inference(avatar_component_clause,[],[f841])). 14.34/2.48 tff(f3185,plain,( 14.34/2.48 spl52_255 | ~spl52_27 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f3180,f1229,f686,f3182])). 14.34/2.48 tff(f686,plain,( 14.34/2.48 spl52_27 <=> match_rope1(int,sK6,sF19,sF46,sF48) = sF49), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_27])])). 14.34/2.48 tff(f3180,plain,( 14.34/2.48 sF48 = sF49 | (~spl52_27 | ~spl52_107)), 14.34/2.48 inference(subsumption_resolution,[],[f3177,f866])). 14.34/2.48 tff(f3177,plain,( 14.34/2.48 sF48 = sF49 | ~sort1(int,sF48) | (~spl52_27 | ~spl52_107)), 14.34/2.48 inference(superposition,[],[f1444,f688])). 14.34/2.48 tff(f688,plain,( 14.34/2.48 match_rope1(int,sK6,sF19,sF46,sF48) = sF49 | ~spl52_27), 14.34/2.48 inference(avatar_component_clause,[],[f686])). 14.34/2.48 tff(f1444,plain,( 14.34/2.48 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (match_rope1(X0,sK6,X1,X2,X3) = X3 | ~sort1(X0,X3)) ) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f362,f1231])). 14.34/2.48 tff(f3147,plain,( 14.34/2.48 spl52_254 | ~spl52_28 | ~spl52_119), 14.34/2.48 inference(avatar_split_clause,[],[f3137,f1313,f691,f3143])). 14.34/2.48 tff(f3137,plain,( 14.34/2.48 string3(sK6) = app2(sF35,string3(sK9)) | (~spl52_28 | ~spl52_119)), 14.34/2.48 inference(superposition,[],[f1215,f1315])). 14.34/2.48 tff(f1215,plain,( 14.34/2.48 ( ! [X0 : rope1,X1 : $int] : (string3(app3(sK8,X0,X1)) = app2(sF35,string3(X0))) ) | ~spl52_28), 14.34/2.48 inference(superposition,[],[f396,f693])). 14.34/2.48 tff(f3146,plain,( 14.34/2.48 spl52_254 | ~spl52_28 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f3136,f1229,f691,f3143])). 14.34/2.48 tff(f3136,plain,( 14.34/2.48 string3(sK6) = app2(sF35,string3(sK9)) | (~spl52_28 | ~spl52_107)), 14.34/2.48 inference(superposition,[],[f1215,f1231])). 14.34/2.48 tff(f3109,plain,( 14.34/2.48 spl52_253), 14.34/2.48 inference(avatar_split_clause,[],[f3095,f3106])). 14.34/2.48 tff(f3095,plain,( 14.34/2.48 0 = min1(1,0)), 14.34/2.48 inference(interpreted_simplification,[],[f3094])). 14.34/2.48 tff(f3094,plain,( 14.34/2.48 0 = min1(1,0) | ~$less(0,1)), 14.34/2.48 inference(instantiation,[],[f1955])). 14.34/2.48 tff(f1955,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (min1(X0,X1) = X1 | ~$less(X1,X0)) )), 14.34/2.48 inference(superposition,[],[f456,f434])). 14.34/2.48 tff(f434,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (min1(X1,X0) = X1 | min1(X1,X0) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f181])). 14.34/2.48 tff(f181,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : (min1(X1,X0) = X1 | min1(X1,X0) = X0)), 14.34/2.48 inference(rectify,[],[f36])). 14.34/2.48 tff(f36,axiom,( 14.34/2.48 ! [X28 : $int,X8 : $int] : (min1(X8,X28) = X28 | min1(X8,X28) = X8)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f456,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(X0,min1(X1,X0))) )), 14.34/2.48 inference(cnf_transformation,[],[f205])). 14.34/2.48 tff(f205,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : (~$less(X1,min1(X1,X0)) & ~$less(X0,min1(X1,X0)))), 14.34/2.48 inference(rectify,[],[f114])). 14.34/2.48 tff(f114,plain,( 14.34/2.48 ! [X28 : $int,X8 : $int] : (~$less(X28,min1(X8,X28)) & ~$less(X8,min1(X8,X28)))), 14.34/2.48 inference(theory_normalization,[],[f40])). 14.34/2.48 tff(f40,axiom,( 14.34/2.48 ! [X28 : $int,X8 : $int] : ($lesseq(min1(X8,X28),X28) & $lesseq(min1(X8,X28),X8))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f3077,plain,( 14.34/2.48 spl52_251 | spl52_252 | spl52_250), 14.34/2.48 inference(avatar_split_clause,[],[f3076,f3039,f3049,f3044])). 14.34/2.48 tff(f3076,plain,( 14.34/2.48 0 = sF22 | $less(0,sF22) | spl52_250), 14.34/2.48 inference(resolution,[],[f3041,f129])). 14.34/2.48 tff(f3052,plain,( 14.34/2.48 spl52_251 | spl52_252 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f3034,f3012,f3049,f3044])). 14.34/2.48 tff(f3034,plain,( 14.34/2.48 0 = sF22 | $less(0,sF22) | ~spl52_249), 14.34/2.48 inference(superposition,[],[f1053,f3014])). 14.34/2.48 tff(f3047,plain,( 14.34/2.48 spl52_251 | ~spl52_115 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f3033,f3012,f1286,f3044])). 14.34/2.48 tff(f3033,plain,( 14.34/2.48 $less(0,sF22) | (~spl52_115 | ~spl52_249)), 14.34/2.48 inference(superposition,[],[f1288,f3014])). 14.34/2.48 tff(f3042,plain,( 14.34/2.48 ~spl52_250 | ~spl52_249), 14.34/2.48 inference(avatar_split_clause,[],[f3037,f3012,f3039])). 14.34/2.48 tff(f3037,plain,( 14.34/2.48 ~$less(sF22,0) | ~spl52_249), 14.34/2.48 inference(superposition,[],[f405,f3014])). 14.34/2.48 tff(f3015,plain,( 14.34/2.48 spl52_249 | ~spl52_84 | ~spl52_239), 14.34/2.48 inference(avatar_split_clause,[],[f3010,f2915,f1036,f3012])). 14.34/2.48 tff(f3010,plain,( 14.34/2.48 sF22 = length3(sF35) | (~spl52_84 | ~spl52_239)), 14.34/2.48 inference(superposition,[],[f1038,f2917])). 14.34/2.48 tff(f3008,plain,( 14.34/2.48 spl52_247 | spl52_248 | spl52_211), 14.34/2.48 inference(avatar_split_clause,[],[f2999,f2685,f3005,f3001])). 14.34/2.48 tff(f2999,plain,( 14.34/2.48 0 = str_proj_21(sK9) | $less(0,str_proj_21(sK9)) | spl52_211), 14.34/2.48 inference(resolution,[],[f2686,f129])). 14.34/2.48 tff(f2984,plain,( 14.34/2.48 spl52_246 | ~spl52_8 | ~spl52_10 | ~spl52_100), 14.34/2.48 inference(avatar_split_clause,[],[f2979,f1154,f601,f591,f2981])). 14.34/2.48 tff(f2979,plain,( 14.34/2.48 sF37 = $sum(sF18,length3(sF35)) | (~spl52_8 | ~spl52_10 | ~spl52_100)), 14.34/2.48 inference(forward_demodulation,[],[f2965,f593])). 14.34/2.48 tff(f2965,plain,( 14.34/2.48 length3(sF34) = $sum(sF18,length3(sF35)) | (~spl52_10 | ~spl52_100)), 14.34/2.48 inference(superposition,[],[f1144,f1156])). 14.34/2.48 tff(f2964,plain,( 14.34/2.48 ~spl52_213 | spl52_139 | ~spl52_214), 14.34/2.48 inference(avatar_split_clause,[],[f2962,f2699,f1500,f2695])). 14.34/2.48 tff(f2962,plain,( 14.34/2.48 ~$less(sF38,0) | (spl52_139 | ~spl52_214)), 14.34/2.48 inference(superposition,[],[f1502,f2701])). 14.34/2.48 tff(f2957,plain,( 14.34/2.48 spl52_245 | ~spl52_240), 14.34/2.48 inference(avatar_split_clause,[],[f2948,f2921,f2954])). 14.34/2.48 tff(f2954,plain,( 14.34/2.48 spl52_245 <=> length4(app_proj_21(sK8)) = length3(string3(app_proj_21(sK8)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_245])])). 14.34/2.48 tff(f2948,plain,( 14.34/2.48 length4(app_proj_21(sK8)) = length3(string3(app_proj_21(sK8))) | ~spl52_240), 14.34/2.48 inference(resolution,[],[f2923,f455])). 14.34/2.48 tff(f2952,plain,( 14.34/2.48 spl52_244 | ~spl52_237 | ~spl52_240), 14.34/2.48 inference(avatar_split_clause,[],[f2947,f2921,f2903,f2950])). 14.34/2.48 tff(f2947,plain,( 14.34/2.48 ( ! [X0 : rope1] : (inv1(app3(X0,app_proj_21(sK8),$sum(length4(X0),length4(app_proj_21(sK8))))) | ~$less(0,length4(app_proj_21(sK8))) | ~$less(0,length4(X0)) | ~inv1(X0)) ) | ~spl52_240), 14.34/2.48 inference(resolution,[],[f2923,f500])). 14.34/2.48 tff(f2941,plain,( 14.34/2.48 spl52_243 | ~spl52_238 | ~spl52_236), 14.34/2.48 inference(avatar_split_clause,[],[f2931,f2897,f2909,f2939])). 14.34/2.48 tff(f2931,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~$less(0,length4(app_proj_11(sK8))) | ~inv1(X0) | ~$less(0,length4(X0)) | inv1(app3(X0,app_proj_11(sK8),$sum(length4(X0),length4(app_proj_11(sK8)))))) ) | ~spl52_236), 14.34/2.48 inference(resolution,[],[f2899,f500])). 14.34/2.48 tff(f2937,plain,( 14.34/2.48 spl52_242 | ~spl52_236), 14.34/2.48 inference(avatar_split_clause,[],[f2932,f2897,f2934])). 14.34/2.48 tff(f2934,plain,( 14.34/2.48 spl52_242 <=> length4(app_proj_11(sK8)) = length3(string3(app_proj_11(sK8)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_242])])). 14.34/2.48 tff(f2932,plain,( 14.34/2.48 length4(app_proj_11(sK8)) = length3(string3(app_proj_11(sK8))) | ~spl52_236), 14.34/2.48 inference(resolution,[],[f2899,f455])). 14.34/2.48 tff(f2930,plain,( 14.34/2.48 spl52_241 | ~spl52_43 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2925,f1697,f766,f2927])). 14.34/2.48 tff(f2927,plain,( 14.34/2.48 spl52_241 <=> sF22 = $sum(length4(app_proj_11(sK8)),length4(app_proj_21(sK8)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_241])])). 14.34/2.48 tff(f2925,plain,( 14.34/2.48 sF22 = $sum(length4(app_proj_11(sK8)),length4(app_proj_21(sK8))) | (~spl52_43 | ~spl52_147)), 14.34/2.48 inference(subsumption_resolution,[],[f2888,f768])). 14.34/2.48 tff(f2888,plain,( 14.34/2.48 sF22 = $sum(length4(app_proj_11(sK8)),length4(app_proj_21(sK8))) | ~inv1(sK8) | ~spl52_147), 14.34/2.48 inference(superposition,[],[f383,f1699])). 14.34/2.48 tff(f383,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (~inv1(app3(X0,X2,X1)) | $sum(length4(X0),length4(X2)) = X1) )), 14.34/2.48 inference(cnf_transformation,[],[f296])). 14.34/2.48 tff(f2924,plain,( 14.34/2.48 spl52_240 | ~spl52_43 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2919,f1697,f766,f2921])). 14.34/2.48 tff(f2919,plain,( 14.34/2.48 inv1(app_proj_21(sK8)) | (~spl52_43 | ~spl52_147)), 14.34/2.48 inference(subsumption_resolution,[],[f2891,f768])). 14.34/2.48 tff(f2891,plain,( 14.34/2.48 inv1(app_proj_21(sK8)) | ~inv1(sK8) | ~spl52_147), 14.34/2.48 inference(superposition,[],[f386,f1699])). 14.34/2.48 tff(f386,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (~inv1(app3(X0,X2,X1)) | inv1(X2)) )), 14.34/2.48 inference(cnf_transformation,[],[f296])). 14.34/2.48 tff(f2918,plain,( 14.34/2.48 spl52_239 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2885,f1697,f2915])). 14.34/2.48 tff(f2885,plain,( 14.34/2.48 sF22 = length4(sK8) | ~spl52_147), 14.34/2.48 inference(superposition,[],[f352,f1699])). 14.34/2.48 tff(f2913,plain,( 14.34/2.48 ~spl52_149 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2887,f1697,f1705])). 14.34/2.48 tff(f2887,plain,( 14.34/2.48 emp1 != sK8 | ~spl52_147), 14.34/2.48 inference(superposition,[],[f367,f1699])). 14.34/2.48 tff(f367,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : rope1,X1 : rope1] : (emp1 != app3(X1,X0,X2)) )), 14.34/2.48 inference(cnf_transformation,[],[f288])). 14.34/2.48 tff(f288,plain,( 14.34/2.48 ! [X0 : rope1,X1 : rope1,X2 : $int] : emp1 != app3(X1,X0,X2)), 14.34/2.48 inference(rectify,[],[f178])). 14.34/2.48 tff(f178,plain,( 14.34/2.48 ! [X2 : rope1,X1 : rope1,X0 : $int] : emp1 != app3(X1,X2,X0)), 14.34/2.48 inference(rectify,[],[f64])). 14.34/2.48 tff(f64,axiom,( 14.34/2.48 ! [X14 : $int,X12 : rope1,X13 : rope1] : emp1 != app3(X12,X13,X14)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f2912,plain,( 14.34/2.48 spl52_238 | ~spl52_43 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2907,f1697,f766,f2909])). 14.34/2.48 tff(f2907,plain,( 14.34/2.48 $less(0,length4(app_proj_11(sK8))) | (~spl52_43 | ~spl52_147)), 14.34/2.48 inference(subsumption_resolution,[],[f2889,f768])). 14.34/2.48 tff(f2889,plain,( 14.34/2.48 ~inv1(sK8) | $less(0,length4(app_proj_11(sK8))) | ~spl52_147), 14.34/2.48 inference(superposition,[],[f384,f1699])). 14.34/2.48 tff(f384,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (~inv1(app3(X0,X2,X1)) | $less(0,length4(X0))) )), 14.34/2.48 inference(cnf_transformation,[],[f296])). 14.34/2.48 tff(f2906,plain,( 14.34/2.48 spl52_237 | ~spl52_43 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2901,f1697,f766,f2903])). 14.34/2.48 tff(f2901,plain,( 14.34/2.48 $less(0,length4(app_proj_21(sK8))) | (~spl52_43 | ~spl52_147)), 14.34/2.48 inference(subsumption_resolution,[],[f2890,f768])). 14.34/2.48 tff(f2890,plain,( 14.34/2.48 ~inv1(sK8) | $less(0,length4(app_proj_21(sK8))) | ~spl52_147), 14.34/2.48 inference(superposition,[],[f385,f1699])). 14.34/2.48 tff(f385,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (~inv1(app3(X0,X2,X1)) | $less(0,length4(X2))) )), 14.34/2.48 inference(cnf_transformation,[],[f296])). 14.34/2.48 tff(f2900,plain,( 14.34/2.48 spl52_236 | ~spl52_43 | ~spl52_147), 14.34/2.48 inference(avatar_split_clause,[],[f2895,f1697,f766,f2897])). 14.34/2.48 tff(f2895,plain,( 14.34/2.48 inv1(app_proj_11(sK8)) | (~spl52_43 | ~spl52_147)), 14.34/2.48 inference(subsumption_resolution,[],[f2892,f768])). 14.34/2.48 tff(f2892,plain,( 14.34/2.48 inv1(app_proj_11(sK8)) | ~inv1(sK8) | ~spl52_147), 14.34/2.48 inference(superposition,[],[f387,f1699])). 14.34/2.48 tff(f387,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (~inv1(app3(X0,X2,X1)) | inv1(X0)) )), 14.34/2.48 inference(cnf_transformation,[],[f296])). 14.34/2.48 tff(f2881,plain,( 14.34/2.48 spl52_211 | spl52_212 | spl52_214 | spl52_213 | spl52_209 | ~spl52_117 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2880,f1684,f1297,f2678,f2695,f2699,f2689,f2685])). 14.34/2.48 tff(f2880,plain,( 14.34/2.48 $less(str_proj_21(sK9),0) | $less(sF38,0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | sF38 = length4(sK9) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | (~spl52_117 | ~spl52_145)), 14.34/2.48 inference(forward_demodulation,[],[f2874,f1299])). 14.34/2.48 tff(f2874,plain,( 14.34/2.48 $less(str_proj_21(sK9),0) | sF38 = length3(string3(sK9)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(sF38,0) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f488,f1686])). 14.34/2.48 tff(f2879,plain,( 14.34/2.48 spl52_209 | spl52_210 | spl52_212 | spl52_211 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2875,f1684,f2685,f2689,f2682,f2678])). 14.34/2.48 tff(f2875,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF38) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(X0,0) | mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X0)) = mixfix_lbrb1(string3(sK9),X0) | $less(str_proj_21(sK9),0)) ) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f2021,f1686])). 14.34/2.48 tff(f2862,plain,( 14.34/2.48 ~spl52_87 | spl52_235 | ~spl52_8 | ~spl52_9 | spl52_167), 14.34/2.48 inference(avatar_split_clause,[],[f2857,f1918,f596,f591,f2859,f1065])). 14.34/2.48 tff(f2859,plain,( 14.34/2.48 spl52_235 <=> $less(sK3(empty1,sF34),sF37)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_235])])). 14.34/2.48 tff(f2857,plain,( 14.34/2.48 0 != sF37 | $less(sK3(empty1,sF34),sF37) | (~spl52_8 | ~spl52_9 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2730,f598])). 14.34/2.48 tff(f2730,plain,( 14.34/2.48 $less(sK3(empty1,sF34),sF37) | length3(empty1) != sF37 | (~spl52_8 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2729,f593])). 14.34/2.48 tff(f2729,plain,( 14.34/2.48 $less(sK3(empty1,sF34),length3(sF34)) | length3(empty1) != sF37 | (~spl52_8 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2728,f593])). 14.34/2.48 tff(f2728,plain,( 14.34/2.48 length3(empty1) != length3(sF34) | $less(sK3(empty1,sF34),length3(sF34)) | spl52_167), 14.34/2.48 inference(resolution,[],[f1919,f428])). 14.34/2.48 tff(f428,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : string2] : (infix_eqeq1(X1,X0) | length3(X1) != length3(X0) | $less(sK3(X0,X1),length3(X1))) )), 14.34/2.48 inference(cnf_transformation,[],[f323])). 14.34/2.48 tff(f2856,plain,( 14.34/2.48 spl52_87 | spl52_86 | ~spl52_8), 14.34/2.48 inference(avatar_split_clause,[],[f2632,f591,f1061,f1065])). 14.34/2.48 tff(f1061,plain,( 14.34/2.48 spl52_86 <=> $less(0,sF37)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_86])])). 14.34/2.48 tff(f2632,plain,( 14.34/2.48 0 = sF37 | $less(0,sF37) | ~spl52_8), 14.34/2.48 inference(superposition,[],[f1053,f593])). 14.34/2.48 tff(f2855,plain,( 14.34/2.48 ~spl52_219 | ~spl52_87 | ~spl52_8 | ~spl52_9 | spl52_167), 14.34/2.48 inference(avatar_split_clause,[],[f2854,f1918,f596,f591,f1065,f2743])). 14.34/2.48 tff(f2854,plain,( 14.34/2.48 mixfix_lbrb1(sF34,sK3(empty1,sF34)) != mixfix_lbrb1(empty1,sK3(empty1,sF34)) | 0 != sF37 | (~spl52_8 | ~spl52_9 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2739,f598])). 14.34/2.48 tff(f2739,plain,( 14.34/2.48 mixfix_lbrb1(sF34,sK3(empty1,sF34)) != mixfix_lbrb1(empty1,sK3(empty1,sF34)) | length3(empty1) != sF37 | (~spl52_8 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2727,f593])). 14.34/2.48 tff(f2727,plain,( 14.34/2.48 length3(empty1) != length3(sF34) | mixfix_lbrb1(sF34,sK3(empty1,sF34)) != mixfix_lbrb1(empty1,sK3(empty1,sF34)) | spl52_167), 14.34/2.48 inference(resolution,[],[f1919,f426])). 14.34/2.48 tff(f426,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : string2] : (infix_eqeq1(X1,X0) | length3(X1) != length3(X0) | mixfix_lbrb1(X1,sK3(X0,X1)) != mixfix_lbrb1(X0,sK3(X0,X1))) )), 14.34/2.48 inference(cnf_transformation,[],[f323])). 14.34/2.48 tff(f2853,plain,( 14.34/2.48 spl52_234 | ~spl52_43 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2848,f1701,f766,f2850])). 14.34/2.48 tff(f2848,plain,( 14.34/2.48 $less(str_proj_21(sK8),length3(str_proj_11(sK8))) | (~spl52_43 | ~spl52_148)), 14.34/2.48 inference(subsumption_resolution,[],[f2796,f768])). 14.34/2.48 tff(f2796,plain,( 14.34/2.48 $less(str_proj_21(sK8),length3(str_proj_11(sK8))) | ~inv1(sK8) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f378,f1703])). 14.34/2.48 tff(f2847,plain,( 14.34/2.48 ~spl52_228 | ~spl52_43 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2846,f1701,f766,f2819])). 14.34/2.48 tff(f2846,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | (~spl52_43 | ~spl52_148)), 14.34/2.48 inference(subsumption_resolution,[],[f2798,f768])). 14.34/2.48 tff(f2798,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~inv1(sK8) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f380,f1703])). 14.34/2.48 tff(f2845,plain,( 14.34/2.48 spl52_233 | ~spl52_43 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2840,f1701,f766,f2842])). 14.34/2.48 tff(f2840,plain,( 14.34/2.48 $less(0,sF20) | (~spl52_43 | ~spl52_148)), 14.34/2.48 inference(subsumption_resolution,[],[f2795,f768])). 14.34/2.48 tff(f2795,plain,( 14.34/2.48 ~inv1(sK8) | $less(0,sF20) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f377,f1703])). 14.34/2.48 tff(f2839,plain,( 14.34/2.48 spl52_227 | spl52_231 | spl52_230 | spl52_232 | spl52_228 | ~spl52_28 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2830,f1701,f691,f2819,f2836,f2826,f2832,f2813])). 14.34/2.48 tff(f2830,plain,( 14.34/2.48 $less(sF20,0) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | sF20 = length3(sF35) | $less(str_proj_21(sK8),0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | (~spl52_28 | ~spl52_148)), 14.34/2.48 inference(forward_demodulation,[],[f2803,f693])). 14.34/2.48 tff(f2803,plain,( 14.34/2.48 $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(sF20,0) | sF20 = length3(string3(sK8)) | $less(str_proj_21(sK8),0) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f488,f1703])). 14.34/2.48 tff(f2829,plain,( 14.34/2.48 spl52_228 | spl52_227 | spl52_229 | spl52_230 | ~spl52_28 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2817,f1701,f691,f2826,f2823,f2813,f2819])). 14.34/2.48 tff(f2817,plain,( 14.34/2.48 ( ! [X0 : $int] : (mixfix_lbrb1(sF35,X0) = mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | ~$less(X0,sF20) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(X0,0) | $less(str_proj_21(sK8),0)) ) | (~spl52_28 | ~spl52_148)), 14.34/2.48 inference(forward_demodulation,[],[f2804,f693])). 14.34/2.48 tff(f2804,plain,( 14.34/2.48 ( ! [X0 : $int] : (mixfix_lbrb1(str_proj_11(sK8),$sum(str_proj_21(sK8),X0)) = mixfix_lbrb1(string3(sK8),X0) | $less(length3(str_proj_11(sK8)),str_proj_21(sK8)) | $less(length3(str_proj_11(sK8)),$sum(str_proj_21(sK8),sF20)) | $less(str_proj_21(sK8),0) | ~$less(X0,sF20) | $less(X0,0)) ) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f2021,f1703])). 14.34/2.48 tff(f2816,plain,( 14.34/2.48 ~spl52_227 | ~spl52_43 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2811,f1701,f766,f2813])). 14.34/2.48 tff(f2811,plain,( 14.34/2.48 ~$less(str_proj_21(sK8),0) | (~spl52_43 | ~spl52_148)), 14.34/2.48 inference(subsumption_resolution,[],[f2797,f768])). 14.34/2.48 tff(f2797,plain,( 14.34/2.48 ~$less(str_proj_21(sK8),0) | ~inv1(sK8) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f379,f1703])). 14.34/2.48 tff(f379,plain,( 14.34/2.48 ( ! [X3 : string2,X4 : $int,X5 : $int] : (~inv1(str1(X3,X5,X4)) | ~$less(X5,0)) )), 14.34/2.48 inference(cnf_transformation,[],[f296])). 14.34/2.48 tff(f2810,plain,( 14.34/2.48 ~spl52_149 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2800,f1701,f1705])). 14.34/2.48 tff(f2800,plain,( 14.34/2.48 emp1 != sK8 | ~spl52_148), 14.34/2.48 inference(superposition,[],[f401,f1703])). 14.34/2.48 tff(f401,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : string2] : (emp1 != str1(X1,X2,X0)) )), 14.34/2.48 inference(cnf_transformation,[],[f304])). 14.34/2.48 tff(f304,plain,( 14.34/2.48 ! [X0 : $int,X1 : string2,X2 : $int] : emp1 != str1(X1,X2,X0)), 14.34/2.48 inference(rectify,[],[f218])). 14.34/2.48 tff(f218,plain,( 14.34/2.48 ! [X2 : $int,X0 : string2,X1 : $int] : str1(X0,X1,X2) != emp1), 14.34/2.48 inference(rectify,[],[f85])). 14.34/2.48 tff(f85,axiom,( 14.34/2.48 ! [X12 : string2,X13 : $int,X14 : $int] : emp1 != str1(X12,X13,X14)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f2809,plain,( 14.34/2.48 spl52_226 | ~spl52_148), 14.34/2.48 inference(avatar_split_clause,[],[f2793,f1701,f2806])). 14.34/2.48 tff(f2793,plain,( 14.34/2.48 sF20 = length4(sK8) | ~spl52_148), 14.34/2.48 inference(superposition,[],[f351,f1703])). 14.34/2.48 tff(f2792,plain,( 14.34/2.48 spl52_225 | ~spl52_109 | ~spl52_146), 14.34/2.48 inference(avatar_split_clause,[],[f2787,f1688,f1250,f2789])). 14.34/2.48 tff(f2787,plain,( 14.34/2.48 $less(0,length4(app_proj_11(sK9))) | (~spl52_109 | ~spl52_146)), 14.34/2.48 inference(subsumption_resolution,[],[f2752,f1252])). 14.34/2.48 tff(f2752,plain,( 14.34/2.48 ~inv1(sK9) | $less(0,length4(app_proj_11(sK9))) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f384,f1690])). 14.34/2.48 tff(f2786,plain,( 14.34/2.48 spl52_224 | ~spl52_109 | ~spl52_146), 14.34/2.48 inference(avatar_split_clause,[],[f2781,f1688,f1250,f2783])). 14.34/2.48 tff(f2781,plain,( 14.34/2.48 inv1(app_proj_11(sK9)) | (~spl52_109 | ~spl52_146)), 14.34/2.48 inference(subsumption_resolution,[],[f2755,f1252])). 14.34/2.48 tff(f2755,plain,( 14.34/2.48 inv1(app_proj_11(sK9)) | ~inv1(sK9) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f387,f1690])). 14.34/2.48 tff(f2780,plain,( 14.34/2.48 spl52_223 | ~spl52_146), 14.34/2.48 inference(avatar_split_clause,[],[f2748,f1688,f2777])). 14.34/2.48 tff(f2748,plain,( 14.34/2.48 sF40 = length4(sK9) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f352,f1690])). 14.34/2.48 tff(f2775,plain,( 14.34/2.48 spl52_222 | ~spl52_109 | ~spl52_146), 14.34/2.48 inference(avatar_split_clause,[],[f2770,f1688,f1250,f2772])). 14.34/2.48 tff(f2772,plain,( 14.34/2.48 spl52_222 <=> sF40 = $sum(length4(app_proj_11(sK9)),length4(app_proj_21(sK9)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_222])])). 14.34/2.48 tff(f2770,plain,( 14.34/2.48 sF40 = $sum(length4(app_proj_11(sK9)),length4(app_proj_21(sK9))) | (~spl52_109 | ~spl52_146)), 14.34/2.48 inference(subsumption_resolution,[],[f2751,f1252])). 14.34/2.48 tff(f2751,plain,( 14.34/2.48 ~inv1(sK9) | sF40 = $sum(length4(app_proj_11(sK9)),length4(app_proj_21(sK9))) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f383,f1690])). 14.34/2.48 tff(f2769,plain,( 14.34/2.48 spl52_221 | ~spl52_109 | ~spl52_146), 14.34/2.48 inference(avatar_split_clause,[],[f2764,f1688,f1250,f2766])). 14.34/2.48 tff(f2764,plain,( 14.34/2.48 $less(0,length4(app_proj_21(sK9))) | (~spl52_109 | ~spl52_146)), 14.34/2.48 inference(subsumption_resolution,[],[f2753,f1252])). 14.34/2.48 tff(f2753,plain,( 14.34/2.48 ~inv1(sK9) | $less(0,length4(app_proj_21(sK9))) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f385,f1690])). 14.34/2.48 tff(f2763,plain,( 14.34/2.48 spl52_220 | ~spl52_109 | ~spl52_146), 14.34/2.48 inference(avatar_split_clause,[],[f2758,f1688,f1250,f2760])). 14.34/2.48 tff(f2758,plain,( 14.34/2.48 inv1(app_proj_21(sK9)) | (~spl52_109 | ~spl52_146)), 14.34/2.48 inference(subsumption_resolution,[],[f2754,f1252])). 14.34/2.48 tff(f2754,plain,( 14.34/2.48 inv1(app_proj_21(sK9)) | ~inv1(sK9) | ~spl52_146), 14.34/2.48 inference(superposition,[],[f386,f1690])). 14.34/2.48 tff(f2746,plain,( 14.34/2.48 ~spl52_219 | ~spl52_8 | ~spl52_9 | ~spl52_87 | spl52_167), 14.34/2.48 inference(avatar_split_clause,[],[f2741,f1918,f1065,f596,f591,f2743])). 14.34/2.48 tff(f2741,plain,( 14.34/2.48 mixfix_lbrb1(sF34,sK3(empty1,sF34)) != mixfix_lbrb1(empty1,sK3(empty1,sF34)) | (~spl52_8 | ~spl52_9 | ~spl52_87 | spl52_167)), 14.34/2.48 inference(subsumption_resolution,[],[f2740,f598])). 14.34/2.48 tff(f2740,plain,( 14.34/2.48 mixfix_lbrb1(sF34,sK3(empty1,sF34)) != mixfix_lbrb1(empty1,sK3(empty1,sF34)) | 0 != length3(empty1) | (~spl52_8 | ~spl52_87 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2739,f1067])). 14.34/2.48 tff(f1067,plain,( 14.34/2.48 0 = sF37 | ~spl52_87), 14.34/2.48 inference(avatar_component_clause,[],[f1065])). 14.34/2.48 tff(f2738,plain,( 14.34/2.48 spl52_218 | ~spl52_8 | ~spl52_9 | ~spl52_87 | spl52_167), 14.34/2.48 inference(avatar_split_clause,[],[f2733,f1918,f1065,f596,f591,f2735])). 14.34/2.48 tff(f2733,plain,( 14.34/2.48 $less(sK3(empty1,sF34),0) | (~spl52_8 | ~spl52_9 | ~spl52_87 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2732,f1067])). 14.34/2.48 tff(f2732,plain,( 14.34/2.48 $less(sK3(empty1,sF34),sF37) | (~spl52_8 | ~spl52_9 | ~spl52_87 | spl52_167)), 14.34/2.48 inference(subsumption_resolution,[],[f2731,f598])). 14.34/2.48 tff(f2731,plain,( 14.34/2.48 0 != length3(empty1) | $less(sK3(empty1,sF34),sF37) | (~spl52_8 | ~spl52_87 | spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2730,f1067])). 14.34/2.48 tff(f2724,plain,( 14.34/2.48 spl52_217 | ~spl52_48 | ~spl52_87), 14.34/2.48 inference(avatar_split_clause,[],[f2313,f1065,f791,f2721])). 14.34/2.48 tff(f2721,plain,( 14.34/2.48 spl52_217 <=> sF43 = sF44), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_217])])). 14.34/2.48 tff(f2313,plain,( 14.34/2.48 sF43 = sF44 | (~spl52_48 | ~spl52_87)), 14.34/2.48 inference(evaluation,[],[f2311])). 14.34/2.48 tff(f2311,plain,( 14.34/2.48 sF44 = $sum(0,sF43) | (~spl52_48 | ~spl52_87)), 14.34/2.48 inference(superposition,[],[f793,f1067])). 14.34/2.48 tff(f2719,plain,( 14.34/2.48 spl52_216 | ~spl52_109 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2714,f1684,f1250,f2716])). 14.34/2.48 tff(f2714,plain,( 14.34/2.48 $less(str_proj_21(sK9),length3(str_proj_11(sK9))) | (~spl52_109 | ~spl52_145)), 14.34/2.48 inference(subsumption_resolution,[],[f2668,f1252])). 14.34/2.48 tff(f2668,plain,( 14.34/2.48 $less(str_proj_21(sK9),length3(str_proj_11(sK9))) | ~inv1(sK9) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f378,f1686])). 14.34/2.48 tff(f2713,plain,( 14.34/2.48 ~spl52_211 | ~spl52_109 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2712,f1684,f1250,f2685])). 14.34/2.48 tff(f2712,plain,( 14.34/2.48 ~$less(str_proj_21(sK9),0) | (~spl52_109 | ~spl52_145)), 14.34/2.48 inference(subsumption_resolution,[],[f2669,f1252])). 14.34/2.48 tff(f2669,plain,( 14.34/2.48 ~$less(str_proj_21(sK9),0) | ~inv1(sK9) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f379,f1686])). 14.34/2.48 tff(f2711,plain,( 14.34/2.48 spl52_215 | ~spl52_109 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2706,f1684,f1250,f2708])). 14.34/2.48 tff(f2706,plain,( 14.34/2.48 $less(0,sF38) | (~spl52_109 | ~spl52_145)), 14.34/2.48 inference(subsumption_resolution,[],[f2667,f1252])). 14.34/2.48 tff(f2667,plain,( 14.34/2.48 $less(0,sF38) | ~inv1(sK9) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f377,f1686])). 14.34/2.48 tff(f2705,plain,( 14.34/2.48 ~spl52_209 | ~spl52_109 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2704,f1684,f1250,f2678])). 14.34/2.48 tff(f2704,plain,( 14.34/2.48 ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | (~spl52_109 | ~spl52_145)), 14.34/2.48 inference(subsumption_resolution,[],[f2670,f1252])). 14.34/2.48 tff(f2670,plain,( 14.34/2.48 ~inv1(sK9) | ~$less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f380,f1686])). 14.34/2.48 tff(f2703,plain,( 14.34/2.48 spl52_214 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2665,f1684,f2699])). 14.34/2.48 tff(f2665,plain,( 14.34/2.48 sF38 = length4(sK9) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f351,f1686])). 14.34/2.48 tff(f2702,plain,( 14.34/2.48 spl52_213 | spl52_211 | spl52_212 | spl52_209 | spl52_214 | ~spl52_117 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2693,f1684,f1297,f2699,f2678,f2689,f2685,f2695])). 14.34/2.48 tff(f2693,plain,( 14.34/2.48 sF38 = length4(sK9) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | $less(sF38,0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(str_proj_21(sK9),0) | (~spl52_117 | ~spl52_145)), 14.34/2.48 inference(forward_demodulation,[],[f2675,f1299])). 14.34/2.48 tff(f2675,plain,( 14.34/2.48 $less(sF38,0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | sF38 = length3(string3(sK9)) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f488,f1686])). 14.34/2.48 tff(f2692,plain,( 14.34/2.48 spl52_209 | spl52_210 | spl52_211 | spl52_212 | ~spl52_145), 14.34/2.48 inference(avatar_split_clause,[],[f2676,f1684,f2689,f2685,f2682,f2678])). 14.34/2.48 tff(f2676,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,0) | $less(str_proj_21(sK9),0) | $less(length3(str_proj_11(sK9)),str_proj_21(sK9)) | $less(length3(str_proj_11(sK9)),$sum(str_proj_21(sK9),sF38)) | ~$less(X0,sF38) | mixfix_lbrb1(str_proj_11(sK9),$sum(str_proj_21(sK9),X0)) = mixfix_lbrb1(string3(sK9),X0)) ) | ~spl52_145), 14.34/2.48 inference(superposition,[],[f2021,f1686])). 14.34/2.48 tff(f2664,plain,( 14.34/2.48 spl52_208), 14.34/2.48 inference(avatar_split_clause,[],[f2650,f2661])). 14.34/2.48 tff(f2661,plain,( 14.34/2.48 spl52_208 <=> 0 = max2(0,-1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_208])])). 14.34/2.48 tff(f2650,plain,( 14.34/2.48 0 = max2(0,-1)), 14.34/2.48 inference(interpreted_simplification,[],[f2649])). 14.34/2.48 tff(f2649,plain,( 14.34/2.48 0 = max2(0,-1) | ~$less(-1,0)), 14.34/2.48 inference(instantiation,[],[f1648])). 14.34/2.48 tff(f1648,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (max2(X0,X1) = X0 | ~$less(X1,X0)) )), 14.34/2.48 inference(superposition,[],[f390,f411])). 14.34/2.48 tff(f411,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (max2(X0,X1) = X1 | max2(X0,X1) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f309])). 14.34/2.48 tff(f309,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : (max2(X0,X1) = X1 | max2(X0,X1) = X0)), 14.34/2.48 inference(rectify,[],[f219])). 14.34/2.48 tff(f219,plain,( 14.34/2.48 ! [X1 : $int,X0 : $int] : (max2(X1,X0) = X0 | max2(X1,X0) = X1)), 14.34/2.48 inference(rectify,[],[f28])). 14.34/2.48 tff(f28,axiom,( 14.34/2.48 ! [X28 : $int,X8 : $int] : (max2(X8,X28) = X8 | max2(X8,X28) = X28)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f390,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (~$less(max2(X1,X0),X1)) )), 14.34/2.48 inference(cnf_transformation,[],[f298])). 14.34/2.48 tff(f298,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : (~$less(max2(X1,X0),X1) & ~$less(max2(X1,X0),X0))), 14.34/2.48 inference(rectify,[],[f202])). 14.34/2.48 tff(f202,plain,( 14.34/2.48 ! [X1 : $int,X0 : $int] : (~$less(max2(X0,X1),X0) & ~$less(max2(X0,X1),X1))), 14.34/2.48 inference(rectify,[],[f112])). 14.34/2.48 tff(f112,plain,( 14.34/2.48 ! [X8 : $int,X28 : $int] : (~$less(max2(X8,X28),X8) & ~$less(max2(X8,X28),X28))), 14.34/2.48 inference(theory_normalization,[],[f25])). 14.34/2.48 tff(f25,axiom,( 14.34/2.48 ! [X8 : $int,X28 : $int] : ($lesseq(X8,max2(X8,X28)) & $lesseq(X28,max2(X8,X28)))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f2639,plain,( 14.34/2.48 spl52_207 | ~spl52_176 | ~spl52_186), 14.34/2.48 inference(avatar_split_clause,[],[f2634,f2303,f2035,f2636])). 14.34/2.48 tff(f2636,plain,( 14.34/2.48 spl52_207 <=> empty1 = string_of_array1(sF31,2,sK4)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_207])])). 14.34/2.48 tff(f2303,plain,( 14.34/2.48 spl52_186 <=> empty1 = sF34), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_186])])). 14.34/2.48 tff(f2634,plain,( 14.34/2.48 empty1 = string_of_array1(sF31,2,sK4) | (~spl52_176 | ~spl52_186)), 14.34/2.48 inference(forward_demodulation,[],[f2037,f2305])). 14.34/2.48 tff(f2305,plain,( 14.34/2.48 empty1 = sF34 | ~spl52_186), 14.34/2.48 inference(avatar_component_clause,[],[f2303])). 14.34/2.48 tff(f2623,plain,( 14.34/2.48 ~spl52_179 | ~spl52_30 | ~spl52_77 | ~spl52_92 | ~spl52_105 | ~spl52_120 | spl52_162 | ~spl52_173 | ~spl52_174 | spl52_180), 14.34/2.48 inference(avatar_split_clause,[],[f2622,f2124,f2017,f2009,f1892,f1322,f1198,f1088,f974,f701,f2120])). 14.34/2.48 tff(f2124,plain,( 14.34/2.48 spl52_180 <=> $less(sK4,2)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_180])])). 14.34/2.48 tff(f2622,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_92 | ~spl52_105 | ~spl52_120 | spl52_162 | ~spl52_173 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(subsumption_resolution,[],[f2621,f127])). 14.34/2.48 tff(f2621,plain,( 14.34/2.48 $less(sK4,sK4) | emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_92 | ~spl52_105 | ~spl52_120 | spl52_162 | ~spl52_173 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2620,f2011])). 14.34/2.48 tff(f2620,plain,( 14.34/2.48 $less(sF16,sK4) | emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_92 | ~spl52_105 | ~spl52_120 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2619,f1200])). 14.34/2.48 tff(f2619,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,sF13),sK4) | (~spl52_30 | ~spl52_77 | ~spl52_92 | ~spl52_120 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2618,f1324])). 14.34/2.48 tff(f2618,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,sF13),sK4) | (~spl52_30 | ~spl52_77 | ~spl52_92 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2617,f976])). 14.34/2.48 tff(f2617,plain,( 14.34/2.48 $less(length5(rope,sF15),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK2(2,sK4,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_92 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2616,f703])). 14.34/2.48 tff(f2616,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK2(2,sK4,sF14)))) | (~spl52_30 | ~spl52_77 | ~spl52_92 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2615,f976])). 14.34/2.48 tff(f2615,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,t2tb1(sF14)),sK4) | (~spl52_30 | ~spl52_92 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(forward_demodulation,[],[f2614,f703])). 14.34/2.48 tff(f2614,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,t2tb1(sF14)),sK4) | (~spl52_92 | spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(subsumption_resolution,[],[f2613,f1112])). 14.34/2.48 tff(f1112,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,sK4) | ~$less(X0,0)) ) | ~spl52_92), 14.34/2.48 inference(resolution,[],[f1090,f128])). 14.34/2.48 tff(f2613,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),0) | $less(length5(rope,t2tb1(sF14)),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | (spl52_162 | ~spl52_174 | spl52_180)), 14.34/2.48 inference(subsumption_resolution,[],[f2612,f1893])). 14.34/2.48 tff(f2612,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | infix_eqeq1(sF17,empty1) | $less(length5(rope,t2tb1(sF14)),0) | $less(length5(rope,t2tb1(sF14)),sK4) | (~spl52_174 | spl52_180)), 14.34/2.48 inference(subsumption_resolution,[],[f2610,f2125])). 14.34/2.48 tff(f2125,plain,( 14.34/2.48 ~$less(sK4,2) | spl52_180), 14.34/2.48 inference(avatar_component_clause,[],[f2124])). 14.34/2.48 tff(f2610,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,t2tb1(sF14)),sK4) | $less(length5(rope,t2tb1(sF14)),0) | $less(sK4,2) | infix_eqeq1(sF17,empty1) | ~spl52_174), 14.34/2.48 inference(evaluation,[],[f2608])). 14.34/2.48 tff(f2608,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sK4,2) | $less(2,0) | $less(length5(rope,t2tb1(sF14)),0) | $less(length5(rope,t2tb1(sF14)),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | ~spl52_174), 14.34/2.48 inference(superposition,[],[f491,f2019])). 14.34/2.48 tff(f2601,plain,( 14.34/2.48 spl52_206 | ~spl52_157), 14.34/2.48 inference(avatar_split_clause,[],[f2588,f1795,f2598])). 14.34/2.48 tff(f2598,plain,( 14.34/2.48 spl52_206 <=> length4(tb2t2(get(rope,int,sF29,t2tb(max3)))) = length3(string3(tb2t2(get(rope,int,sF29,t2tb(max3)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_206])])). 14.34/2.48 tff(f2588,plain,( 14.34/2.48 length4(tb2t2(get(rope,int,sF29,t2tb(max3)))) = length3(string3(tb2t2(get(rope,int,sF29,t2tb(max3))))) | ~spl52_157), 14.34/2.48 inference(resolution,[],[f1797,f455])). 14.34/2.48 tff(f2596,plain,( 14.34/2.48 ~spl52_204 | spl52_205 | ~spl52_157), 14.34/2.48 inference(avatar_split_clause,[],[f2587,f1795,f2594,f2590])). 14.34/2.48 tff(f2594,plain,( 14.34/2.48 spl52_205 <=> ! [X0 : rope1] : (~$less(0,length4(X0)) | inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(max3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(max3))))))) | ~inv1(X0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_205])])). 14.34/2.48 tff(f2587,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~$less(0,length4(X0)) | ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(max3))))) | ~inv1(X0) | inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(max3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(max3)))))))) ) | ~spl52_157), 14.34/2.48 inference(resolution,[],[f1797,f500])). 14.34/2.48 tff(f2586,plain,( 14.34/2.48 spl52_203 | ~spl52_155), 14.34/2.48 inference(avatar_split_clause,[],[f2573,f1764,f2583])). 14.34/2.48 tff(f2583,plain,( 14.34/2.48 spl52_203 <=> length4(tb2t2(get(rope,int,sF12,t2tb(max3)))) = length3(string3(tb2t2(get(rope,int,sF12,t2tb(max3)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_203])])). 14.34/2.48 tff(f2573,plain,( 14.34/2.48 length4(tb2t2(get(rope,int,sF12,t2tb(max3)))) = length3(string3(tb2t2(get(rope,int,sF12,t2tb(max3))))) | ~spl52_155), 14.34/2.48 inference(resolution,[],[f1766,f455])). 14.34/2.48 tff(f2581,plain,( 14.34/2.48 spl52_201 | ~spl52_202 | ~spl52_155), 14.34/2.48 inference(avatar_split_clause,[],[f2572,f1764,f2578,f2575])). 14.34/2.48 tff(f2575,plain,( 14.34/2.48 spl52_201 <=> ! [X0 : rope1] : (~inv1(X0) | ~$less(0,length4(X0)) | inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(max3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(max3))))))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_201])])). 14.34/2.48 tff(f2572,plain,( 14.34/2.48 ( ! [X0 : rope1] : (~inv1(X0) | inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(max3))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(max3))))))) | ~$less(0,length4(X0)) | ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(max3)))))) ) | ~spl52_155), 14.34/2.48 inference(resolution,[],[f1766,f500])). 14.34/2.48 tff(f2568,plain,( 14.34/2.48 ~spl52_200 | ~spl52_92 | spl52_178), 14.34/2.48 inference(avatar_split_clause,[],[f2555,f2089,f1088,f2565])). 14.34/2.48 tff(f2555,plain,( 14.34/2.48 ~$less(sK2(2,sK4,sF31),0) | (~spl52_92 | spl52_178)), 14.34/2.48 inference(resolution,[],[f1112,f2090])). 14.34/2.48 tff(f2090,plain,( 14.34/2.48 ~$less(sK2(2,sK4,sF31),sK4) | spl52_178), 14.34/2.48 inference(avatar_component_clause,[],[f2089])). 14.34/2.48 tff(f2563,plain,( 14.34/2.48 spl52_199 | ~spl52_92), 14.34/2.48 inference(avatar_split_clause,[],[f2548,f1088,f2560])). 14.34/2.48 tff(f2560,plain,( 14.34/2.48 spl52_199 <=> $less(-1,sK4)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_199])])). 14.34/2.48 tff(f2548,plain,( 14.34/2.48 $less(-1,sK4) | ~spl52_92), 14.34/2.48 inference(interpreted_simplification,[],[f2547])). 14.34/2.48 tff(f2547,plain,( 14.34/2.48 $less(-1,sK4) | ~$less(-1,0) | ~spl52_92), 14.34/2.48 inference(instantiation,[],[f1112])). 14.34/2.48 tff(f2546,plain,( 14.34/2.48 spl52_197 | ~spl52_198 | ~spl52_127), 14.34/2.48 inference(avatar_split_clause,[],[f2532,f1396,f2543,f2540])). 14.34/2.48 tff(f2540,plain,( 14.34/2.48 spl52_197 <=> ! [X0 : rope1] : (inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(2))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(2))))))) | ~inv1(X0) | ~$less(0,length4(X0)))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_197])])). 14.34/2.48 tff(f2532,plain,( 14.34/2.48 ( ! [X0 : rope1] : (inv1(app3(X0,tb2t2(get(rope,int,sF29,t2tb(2))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF29,t2tb(2))))))) | ~$less(0,length4(X0)) | ~$less(0,length4(tb2t2(get(rope,int,sF29,t2tb(2))))) | ~inv1(X0)) ) | ~spl52_127), 14.34/2.48 inference(resolution,[],[f1398,f500])). 14.34/2.48 tff(f2538,plain,( 14.34/2.48 spl52_196 | ~spl52_127), 14.34/2.48 inference(avatar_split_clause,[],[f2533,f1396,f2535])). 14.34/2.48 tff(f2535,plain,( 14.34/2.48 spl52_196 <=> length4(tb2t2(get(rope,int,sF29,t2tb(2)))) = length3(string3(tb2t2(get(rope,int,sF29,t2tb(2)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_196])])). 14.34/2.48 tff(f2533,plain,( 14.34/2.48 length4(tb2t2(get(rope,int,sF29,t2tb(2)))) = length3(string3(tb2t2(get(rope,int,sF29,t2tb(2))))) | ~spl52_127), 14.34/2.48 inference(resolution,[],[f1398,f455])). 14.34/2.48 tff(f2531,plain,( 14.34/2.48 spl52_195 | ~spl52_122), 14.34/2.48 inference(avatar_split_clause,[],[f2518,f1344,f2528])). 14.34/2.48 tff(f2528,plain,( 14.34/2.48 spl52_195 <=> length4(tb2t2(get(rope,int,sF12,t2tb(2)))) = length3(string3(tb2t2(get(rope,int,sF12,t2tb(2)))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_195])])). 14.34/2.48 tff(f2518,plain,( 14.34/2.48 length4(tb2t2(get(rope,int,sF12,t2tb(2)))) = length3(string3(tb2t2(get(rope,int,sF12,t2tb(2))))) | ~spl52_122), 14.34/2.48 inference(resolution,[],[f1346,f455])). 14.34/2.48 tff(f2526,plain,( 14.34/2.48 spl52_193 | ~spl52_194 | ~spl52_122), 14.34/2.48 inference(avatar_split_clause,[],[f2517,f1344,f2523,f2520])). 14.34/2.48 tff(f2520,plain,( 14.34/2.48 spl52_193 <=> ! [X0 : rope1] : (inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(2))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(2))))))) | ~$less(0,length4(X0)) | ~inv1(X0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_193])])). 14.34/2.48 tff(f2517,plain,( 14.34/2.48 ( ! [X0 : rope1] : (inv1(app3(X0,tb2t2(get(rope,int,sF12,t2tb(2))),$sum(length4(X0),length4(tb2t2(get(rope,int,sF12,t2tb(2))))))) | ~$less(0,length4(tb2t2(get(rope,int,sF12,t2tb(2))))) | ~inv1(X0) | ~$less(0,length4(X0))) ) | ~spl52_122), 14.34/2.48 inference(resolution,[],[f1346,f500])). 14.34/2.48 tff(f2510,plain,( 14.34/2.48 spl52_140 | ~spl52_112 | ~spl52_114), 14.34/2.48 inference(avatar_split_clause,[],[f2509,f1279,f1268,f1532])). 14.34/2.48 tff(f1532,plain,( 14.34/2.48 spl52_140 <=> sF47 = $sum(length3(sF35),length4(sK9))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_140])])). 14.34/2.48 tff(f1268,plain,( 14.34/2.48 spl52_112 <=> sK7 = $sum(length3(sF35),length4(sK9))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_112])])). 14.34/2.48 tff(f1279,plain,( 14.34/2.48 spl52_114 <=> sK7 = sF47), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_114])])). 14.34/2.48 tff(f2509,plain,( 14.34/2.48 sF47 = $sum(length3(sF35),length4(sK9)) | (~spl52_112 | ~spl52_114)), 14.34/2.48 inference(forward_demodulation,[],[f1270,f1281])). 14.34/2.48 tff(f1281,plain,( 14.34/2.48 sK7 = sF47 | ~spl52_114), 14.34/2.48 inference(avatar_component_clause,[],[f1279])). 14.34/2.48 tff(f1270,plain,( 14.34/2.48 sK7 = $sum(length3(sF35),length4(sK9)) | ~spl52_112), 14.34/2.48 inference(avatar_component_clause,[],[f1268])). 14.34/2.48 tff(f2508,plain,( 14.34/2.48 spl52_191 | spl52_192 | spl52_178), 14.34/2.48 inference(avatar_split_clause,[],[f2499,f2089,f2505,f2501])). 14.34/2.48 tff(f2501,plain,( 14.34/2.48 spl52_191 <=> sK4 = sK2(2,sK4,sF31)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_191])])). 14.34/2.48 tff(f2499,plain,( 14.34/2.48 $less(sK4,sK2(2,sK4,sF31)) | sK4 = sK2(2,sK4,sF31) | spl52_178), 14.34/2.48 inference(resolution,[],[f2090,f129])). 14.34/2.48 tff(f2451,plain,( 14.34/2.48 spl52_190 | ~spl52_189), 14.34/2.48 inference(avatar_split_clause,[],[f2445,f2337,f2448])). 14.34/2.48 tff(f2448,plain,( 14.34/2.48 spl52_190 <=> sF28 = tb2t(sF42)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_190])])). 14.34/2.48 tff(f2337,plain,( 14.34/2.48 spl52_189 <=> sF42 = t2tb(sF28)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_189])])). 14.34/2.48 tff(f2445,plain,( 14.34/2.48 sF28 = tb2t(sF42) | ~spl52_189), 14.34/2.48 inference(superposition,[],[f350,f2339])). 14.34/2.48 tff(f2339,plain,( 14.34/2.48 sF42 = t2tb(sF28) | ~spl52_189), 14.34/2.48 inference(avatar_component_clause,[],[f2337])). 14.34/2.48 tff(f350,plain,( 14.34/2.48 ( ! [X0 : $int] : (tb2t(t2tb(X0)) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f220])). 14.34/2.48 tff(f220,plain,( 14.34/2.48 ! [X0 : $int] : tb2t(t2tb(X0)) = X0), 14.34/2.48 inference(rectify,[],[f20])). 14.34/2.48 tff(f20,axiom,( 14.34/2.48 ! [X20 : $int] : tb2t(t2tb(X20)) = X20), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f2340,plain,( 14.34/2.48 spl52_189 | ~spl52_72 | ~spl52_187), 14.34/2.48 inference(avatar_split_clause,[],[f2335,f2316,f935,f2337])). 14.34/2.48 tff(f935,plain,( 14.34/2.48 spl52_72 <=> sF42 = t2tb(sF43)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_72])])). 14.34/2.48 tff(f2335,plain,( 14.34/2.48 sF42 = t2tb(sF28) | (~spl52_72 | ~spl52_187)), 14.34/2.48 inference(superposition,[],[f937,f2318])). 14.34/2.48 tff(f2318,plain,( 14.34/2.48 sF28 = sF43 | ~spl52_187), 14.34/2.48 inference(avatar_component_clause,[],[f2316])). 14.34/2.48 tff(f937,plain,( 14.34/2.48 sF42 = t2tb(sF43) | ~spl52_72), 14.34/2.48 inference(avatar_component_clause,[],[f935])). 14.34/2.48 tff(f2332,plain,( 14.34/2.48 spl52_188 | ~spl52_19 | ~spl52_73 | ~spl52_186), 14.34/2.48 inference(avatar_split_clause,[],[f2331,f2303,f942,f646,f2325])). 14.34/2.48 tff(f646,plain,( 14.34/2.48 spl52_19 <=> infix_eqeq1(sF34,sF36)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_19])])). 14.34/2.48 tff(f942,plain,( 14.34/2.48 spl52_73 <=> sF34 = sF36), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_73])])). 14.34/2.48 tff(f2331,plain,( 14.34/2.48 infix_eqeq1(empty1,empty1) | (~spl52_19 | ~spl52_73 | ~spl52_186)), 14.34/2.48 inference(forward_demodulation,[],[f2330,f2305])). 14.34/2.48 tff(f2330,plain,( 14.34/2.48 infix_eqeq1(empty1,sF34) | (~spl52_19 | ~spl52_73 | ~spl52_186)), 14.34/2.48 inference(forward_demodulation,[],[f2323,f944])). 14.34/2.48 tff(f944,plain,( 14.34/2.48 sF34 = sF36 | ~spl52_73), 14.34/2.48 inference(avatar_component_clause,[],[f942])). 14.34/2.48 tff(f2323,plain,( 14.34/2.48 infix_eqeq1(empty1,sF36) | (~spl52_19 | ~spl52_186)), 14.34/2.48 inference(superposition,[],[f648,f2305])). 14.34/2.48 tff(f648,plain,( 14.34/2.48 infix_eqeq1(sF34,sF36) | ~spl52_19), 14.34/2.48 inference(avatar_component_clause,[],[f646])). 14.34/2.48 tff(f2329,plain,( 14.34/2.48 spl52_188 | ~spl52_167 | ~spl52_186), 14.34/2.48 inference(avatar_split_clause,[],[f2320,f2303,f1918,f2325])). 14.34/2.48 tff(f2320,plain,( 14.34/2.48 infix_eqeq1(empty1,empty1) | (~spl52_167 | ~spl52_186)), 14.34/2.48 inference(superposition,[],[f1920,f2305])). 14.34/2.48 tff(f1920,plain,( 14.34/2.48 infix_eqeq1(sF34,empty1) | ~spl52_167), 14.34/2.48 inference(avatar_component_clause,[],[f1918])). 14.34/2.48 tff(f2328,plain,( 14.34/2.48 spl52_188 | ~spl52_74 | ~spl52_186), 14.34/2.48 inference(avatar_split_clause,[],[f2321,f2303,f948,f2325])). 14.34/2.48 tff(f948,plain,( 14.34/2.48 spl52_74 <=> infix_eqeq1(sF34,sF34)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_74])])). 14.34/2.48 tff(f2321,plain,( 14.34/2.48 infix_eqeq1(empty1,empty1) | (~spl52_74 | ~spl52_186)), 14.34/2.48 inference(superposition,[],[f950,f2305])). 14.34/2.48 tff(f950,plain,( 14.34/2.48 infix_eqeq1(sF34,sF34) | ~spl52_74), 14.34/2.48 inference(avatar_component_clause,[],[f948])). 14.34/2.48 tff(f2319,plain,( 14.34/2.48 spl52_187 | ~spl52_48 | ~spl52_87 | ~spl52_89), 14.34/2.48 inference(avatar_split_clause,[],[f2314,f1074,f1065,f791,f2316])). 14.34/2.48 tff(f2314,plain,( 14.34/2.48 sF28 = sF43 | (~spl52_48 | ~spl52_87 | ~spl52_89)), 14.34/2.48 inference(forward_demodulation,[],[f2313,f1076])). 14.34/2.48 tff(f2309,plain,( 14.34/2.48 spl52_87 | ~spl52_8 | ~spl52_9 | ~spl52_167), 14.34/2.48 inference(avatar_split_clause,[],[f2308,f1918,f596,f591,f1065])). 14.34/2.48 tff(f2308,plain,( 14.34/2.48 0 = sF37 | (~spl52_8 | ~spl52_9 | ~spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2307,f598])). 14.34/2.48 tff(f2307,plain,( 14.34/2.48 length3(empty1) = sF37 | (~spl52_8 | ~spl52_167)), 14.34/2.48 inference(forward_demodulation,[],[f2300,f593])). 14.34/2.48 tff(f2300,plain,( 14.34/2.48 length3(empty1) = length3(sF34) | ~spl52_167), 14.34/2.48 inference(resolution,[],[f1920,f429])). 14.34/2.48 tff(f429,plain,( 14.34/2.48 ( ! [X0 : string2,X1 : string2] : (~infix_eqeq1(X1,X0) | length3(X1) = length3(X0)) )), 14.34/2.48 inference(cnf_transformation,[],[f323])). 14.34/2.48 tff(f2306,plain,( 14.34/2.48 spl52_186 | ~spl52_167), 14.34/2.48 inference(avatar_split_clause,[],[f2301,f1918,f2303])). 14.34/2.48 tff(f2301,plain,( 14.34/2.48 empty1 = sF34 | ~spl52_167), 14.34/2.48 inference(resolution,[],[f1920,f359])). 14.34/2.48 tff(f2282,plain,( 14.34/2.48 spl52_185 | ~spl52_162), 14.34/2.48 inference(avatar_split_clause,[],[f2273,f1892,f2279])). 14.34/2.48 tff(f2279,plain,( 14.34/2.48 spl52_185 <=> empty1 = sF17), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_185])])). 14.34/2.48 tff(f2273,plain,( 14.34/2.48 empty1 = sF17 | ~spl52_162), 14.34/2.48 inference(resolution,[],[f1894,f359])). 14.34/2.48 tff(f1894,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | ~spl52_162), 14.34/2.48 inference(avatar_component_clause,[],[f1892])). 14.34/2.48 tff(f2277,plain,( 14.34/2.48 ~spl52_9 | ~spl52_10 | spl52_91 | ~spl52_162), 14.34/2.48 inference(avatar_contradiction_clause,[],[f2276])). 14.34/2.48 tff(f2276,plain,( 14.34/2.48 $false | (~spl52_9 | ~spl52_10 | spl52_91 | ~spl52_162)), 14.34/2.48 inference(subsumption_resolution,[],[f2275,f1084])). 14.34/2.48 tff(f2275,plain,( 14.34/2.48 0 = sF18 | (~spl52_9 | ~spl52_10 | ~spl52_162)), 14.34/2.48 inference(forward_demodulation,[],[f2274,f598])). 14.34/2.48 tff(f2274,plain,( 14.34/2.48 length3(empty1) = sF18 | (~spl52_10 | ~spl52_162)), 14.34/2.48 inference(forward_demodulation,[],[f2272,f603])). 14.34/2.48 tff(f2272,plain,( 14.34/2.48 length3(empty1) = length3(sF17) | ~spl52_162), 14.34/2.48 inference(resolution,[],[f1894,f429])). 14.34/2.48 tff(f2271,plain,( 14.34/2.48 spl52_184 | spl52_182 | spl52_180), 14.34/2.48 inference(avatar_split_clause,[],[f2255,f2124,f2259,f2268])). 14.34/2.48 tff(f2268,plain,( 14.34/2.48 spl52_184 <=> inv1(tb2t2(get(rope,int,sF29,t2tb(sK4))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_184])])). 14.34/2.48 tff(f2255,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(sK4)))) | $less(max3,sK4) | spl52_180), 14.34/2.48 inference(resolution,[],[f2125,f533])). 14.34/2.48 tff(f2266,plain,( 14.34/2.48 spl52_182 | spl52_183 | spl52_180), 14.34/2.48 inference(avatar_split_clause,[],[f2256,f2124,f2263,f2259])). 14.34/2.48 tff(f2263,plain,( 14.34/2.48 spl52_183 <=> inv1(tb2t2(get(rope,int,sF12,t2tb(sK4))))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_183])])). 14.34/2.48 tff(f2256,plain,( 14.34/2.48 $less(max3,sK4) | inv1(tb2t2(get(rope,int,sF12,t2tb(sK4)))) | spl52_180), 14.34/2.48 inference(resolution,[],[f2125,f522])). 14.34/2.48 tff(f2154,plain,( 14.34/2.48 ~spl52_178 | spl52_168 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f2153,f2028,f1922,f2089])). 14.34/2.48 tff(f1922,plain,( 14.34/2.48 spl52_168 <=> $less(sK2(2,sF33,sF31),sF33)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_168])])). 14.34/2.48 tff(f2153,plain,( 14.34/2.48 ~$less(sK2(2,sK4,sF31),sK4) | (spl52_168 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f1923,f2030])). 14.34/2.48 tff(f1923,plain,( 14.34/2.48 ~$less(sK2(2,sF33,sF31),sF33) | spl52_168), 14.34/2.48 inference(avatar_component_clause,[],[f1922])). 14.34/2.48 tff(f2152,plain,( 14.34/2.48 ~spl52_177 | spl52_165 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f2151,f2009,f1904,f2042])). 14.34/2.48 tff(f1904,plain,( 14.34/2.48 spl52_165 <=> $less(sK2(2,sF16,sF14),sF16)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_165])])). 14.34/2.48 tff(f2151,plain,( 14.34/2.48 ~$less(sK2(2,sK4,sF14),sK4) | (spl52_165 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f1905,f2011])). 14.34/2.48 tff(f1905,plain,( 14.34/2.48 ~$less(sK2(2,sF16,sF14),sF16) | spl52_165), 14.34/2.48 inference(avatar_component_clause,[],[f1904])). 14.34/2.48 tff(f2150,plain,( 14.34/2.48 ~spl52_2 | ~spl52_180), 14.34/2.48 inference(avatar_contradiction_clause,[],[f2149])). 14.34/2.48 tff(f2149,plain,( 14.34/2.48 $false | (~spl52_2 | ~spl52_180)), 14.34/2.48 inference(subsumption_resolution,[],[f2147,f127])). 14.34/2.48 tff(f2147,plain,( 14.34/2.48 $less(sK4,sK4) | (~spl52_2 | ~spl52_180)), 14.34/2.48 inference(resolution,[],[f2126,f1047])). 14.34/2.48 tff(f1047,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,2) | $less(X0,sK4)) ) | ~spl52_2), 14.34/2.48 inference(resolution,[],[f128,f563])). 14.34/2.48 tff(f2126,plain,( 14.34/2.48 $less(sK4,2) | ~spl52_180), 14.34/2.48 inference(avatar_component_clause,[],[f2124])). 14.34/2.48 tff(f2146,plain,( 14.34/2.48 ~spl52_181 | spl52_180 | spl52_167 | spl52_26 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f2141,f2028,f1372,f1167,f854,f696,f681,f1918,f2124,f2143])). 14.34/2.48 tff(f2141,plain,( 14.34/2.48 $less(sK4,2) | infix_eqeq1(sF34,empty1) | emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,sK4,sF31)))) | (spl52_26 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f2140,f127])). 14.34/2.48 tff(f2140,plain,( 14.34/2.48 $less(sK4,sK4) | emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,sK4,sF31)))) | infix_eqeq1(sF34,empty1) | $less(sK4,2) | (spl52_26 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2139,f2030])). 14.34/2.48 tff(f2139,plain,( 14.34/2.48 $less(sK4,2) | infix_eqeq1(sF34,empty1) | emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,sK4,sF31)))) | $less(sF33,sK4) | (spl52_26 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2138,f1169])). 14.34/2.48 tff(f2138,plain,( 14.34/2.48 $less(length5(rope,sF30),sK4) | emp1 != tb2t2(get(rope,int,sF29,t2tb(sK2(2,sK4,sF31)))) | infix_eqeq1(sF34,empty1) | $less(sK4,2) | (spl52_26 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_125 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2137,f1374])). 14.34/2.48 tff(f2137,plain,( 14.34/2.48 infix_eqeq1(sF34,empty1) | $less(sK4,2) | emp1 != tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK2(2,sK4,sF31)))) | $less(length5(rope,sF30),sK4) | (spl52_26 | ~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(subsumption_resolution,[],[f2136,f683])). 14.34/2.48 tff(f2136,plain,( 14.34/2.48 $less(length5(rope,sF30),sK4) | $less(sK4,2) | emp1 != tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK2(2,sK4,sF31)))) | infix_eqeq1(sF34,empty1) | $less(sK4,0) | (~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2135,f2030])). 14.34/2.48 tff(f2135,plain,( 14.34/2.48 $less(sF33,0) | emp1 != tb2t2(get(rope,int,elts(rope,sF30),t2tb(sK2(2,sK4,sF31)))) | $less(sK4,2) | $less(length5(rope,sF30),sK4) | infix_eqeq1(sF34,empty1) | (~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2134,f856])). 14.34/2.48 tff(f2134,plain,( 14.34/2.48 $less(sK4,2) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sK4,sF31)))) | infix_eqeq1(sF34,empty1) | $less(sF33,0) | $less(length5(rope,sF30),sK4) | (~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2133,f856])). 14.34/2.48 tff(f2133,plain,( 14.34/2.48 infix_eqeq1(sF34,empty1) | $less(length5(rope,t2tb1(sF31)),sK4) | $less(sF33,0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sK4,sF31)))) | $less(sK4,2) | (~spl52_29 | ~spl52_60 | ~spl52_101 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2132,f1169])). 14.34/2.48 tff(f2132,plain,( 14.34/2.48 $less(length5(rope,sF30),0) | $less(sK4,2) | $less(length5(rope,t2tb1(sF31)),sK4) | infix_eqeq1(sF34,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sK4,sF31)))) | (~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2131,f2030])). 14.34/2.48 tff(f2131,plain,( 14.34/2.48 infix_eqeq1(sF34,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sF33,sF31)))) | $less(length5(rope,t2tb1(sF31)),sK4) | $less(length5(rope,sF30),0) | $less(sK4,2) | (~spl52_29 | ~spl52_60 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2130,f856])). 14.34/2.48 tff(f2130,plain,( 14.34/2.48 $less(sK4,2) | $less(length5(rope,t2tb1(sF31)),0) | $less(length5(rope,t2tb1(sF31)),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sF33,sF31)))) | infix_eqeq1(sF34,empty1) | (~spl52_29 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2129,f2030])). 14.34/2.48 tff(f2129,plain,( 14.34/2.48 $less(sK4,2) | $less(length5(rope,t2tb1(sF31)),sF33) | $less(length5(rope,t2tb1(sF31)),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sF33,sF31)))) | infix_eqeq1(sF34,empty1) | (~spl52_29 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f2100,f2030])). 14.34/2.48 tff(f2100,plain,( 14.34/2.48 $less(sF33,2) | infix_eqeq1(sF34,empty1) | $less(length5(rope,t2tb1(sF31)),sF33) | $less(length5(rope,t2tb1(sF31)),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sF33,sF31)))) | ~spl52_29), 14.34/2.48 inference(evaluation,[],[f2098])). 14.34/2.48 tff(f2098,plain,( 14.34/2.48 $less(2,0) | infix_eqeq1(sF34,empty1) | $less(length5(rope,t2tb1(sF31)),sF33) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF31)),t2tb(sK2(2,sF33,sF31)))) | $less(sF33,2) | $less(length5(rope,t2tb1(sF31)),0) | ~spl52_29), 14.34/2.48 inference(superposition,[],[f491,f698])). 14.34/2.48 tff(f2127,plain,( 14.34/2.48 ~spl52_179 | spl52_180 | spl52_162 | spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f2118,f2009,f1322,f1198,f974,f761,f701,f681,f1892,f2124,f2120])). 14.34/2.48 tff(f2118,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | emp1 != tb2t2(get(rope,int,sF12,t2tb(sK2(2,sK4,sF14)))) | $less(sK4,2) | (spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_120 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2117,f1324])). 14.34/2.48 tff(f2117,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,sF13),t2tb(sK2(2,sK4,sF14)))) | $less(sK4,2) | (spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2116,f976])). 14.34/2.48 tff(f2116,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | infix_eqeq1(sF17,empty1) | $less(sK4,2) | (spl52_26 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f2115,f683])). 14.34/2.48 tff(f2115,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sK4,2) | emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | $less(sK4,0) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2114,f2011])). 14.34/2.48 tff(f2114,plain,( 14.34/2.48 $less(sF16,0) | infix_eqeq1(sF17,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | $less(sK4,2) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(subsumption_resolution,[],[f2113,f127])). 14.34/2.48 tff(f2113,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sK4,2) | emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | $less(sF16,0) | $less(sK4,sK4) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2112,f2011])). 14.34/2.48 tff(f2112,plain,( 14.34/2.48 $less(sF16,sK4) | $less(sK4,2) | infix_eqeq1(sF17,empty1) | $less(sF16,0) | emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2111,f1200])). 14.34/2.48 tff(f2111,plain,( 14.34/2.48 $less(length5(rope,sF13),sK4) | infix_eqeq1(sF17,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | $less(sF16,0) | $less(sK4,2) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2110,f1200])). 14.34/2.48 tff(f2110,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(length5(rope,sF13),0) | emp1 != tb2t2(get(rope,int,elts(rope,sF15),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,sF13),sK4) | $less(sK4,2) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2109,f703])). 14.34/2.48 tff(f2109,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(sK4,2) | $less(length5(rope,sF13),sK4) | $less(length5(rope,sF13),0) | infix_eqeq1(sF17,empty1) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2108,f976])). 14.34/2.48 tff(f2108,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(length5(rope,sF15),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,sF13),0) | $less(sK4,2) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2107,f976])). 14.34/2.48 tff(f2107,plain,( 14.34/2.48 $less(length5(rope,sF15),0) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,sF15),sK4) | $less(sK4,2) | infix_eqeq1(sF17,empty1) | (~spl52_30 | ~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2106,f703])). 14.34/2.48 tff(f2106,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),0) | $less(length5(rope,sF15),sK4) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(sK4,2) | infix_eqeq1(sF17,empty1) | (~spl52_30 | ~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2105,f703])). 14.34/2.48 tff(f2105,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),sK4) | infix_eqeq1(sF17,empty1) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(sK4,2) | $less(length5(rope,t2tb1(sF14)),0) | (~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2104,f2011])). 14.34/2.48 tff(f2104,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),sF16) | $less(sK4,2) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | $less(length5(rope,t2tb1(sF14)),0) | infix_eqeq1(sF17,empty1) | (~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2103,f2011])). 14.34/2.48 tff(f2103,plain,( 14.34/2.48 $less(sF16,2) | $less(length5(rope,t2tb1(sF14)),0) | infix_eqeq1(sF17,empty1) | $less(length5(rope,t2tb1(sF14)),sF16) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sK4,sF14)))) | (~spl52_42 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f2102,f2011])). 14.34/2.48 tff(f2102,plain,( 14.34/2.48 emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sF16,sF14)))) | $less(length5(rope,t2tb1(sF14)),0) | $less(sF16,2) | infix_eqeq1(sF17,empty1) | $less(length5(rope,t2tb1(sF14)),sF16) | ~spl52_42), 14.34/2.48 inference(evaluation,[],[f2099])). 14.34/2.48 tff(f2099,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),sF16) | emp1 != tb2t2(get(rope,int,elts(rope,t2tb1(sF14)),t2tb(sK2(2,sF16,sF14)))) | infix_eqeq1(sF17,empty1) | $less(length5(rope,t2tb1(sF14)),0) | $less(sF16,2) | $less(2,0) | ~spl52_42), 14.34/2.48 inference(superposition,[],[f491,f763])). 14.34/2.48 tff(f2092,plain,( 14.34/2.48 spl52_178 | ~spl52_168 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f2087,f2028,f1922,f2089])). 14.34/2.48 tff(f2087,plain,( 14.34/2.48 $less(sK2(2,sK4,sF31),sK4) | (~spl52_168 | ~spl52_175)), 14.34/2.48 inference(forward_demodulation,[],[f1924,f2030])). 14.34/2.48 tff(f1924,plain,( 14.34/2.48 $less(sK2(2,sF33,sF31),sF33) | ~spl52_168), 14.34/2.48 inference(avatar_component_clause,[],[f1922])). 14.34/2.48 tff(f2045,plain,( 14.34/2.48 spl52_177 | ~spl52_165 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f2040,f2009,f1904,f2042])). 14.34/2.48 tff(f2040,plain,( 14.34/2.48 $less(sK2(2,sK4,sF14),sK4) | (~spl52_165 | ~spl52_173)), 14.34/2.48 inference(forward_demodulation,[],[f1906,f2011])). 14.34/2.48 tff(f1906,plain,( 14.34/2.48 $less(sK2(2,sF16,sF14),sF16) | ~spl52_165), 14.34/2.48 inference(avatar_component_clause,[],[f1904])). 14.34/2.48 tff(f2038,plain,( 14.34/2.48 spl52_176 | ~spl52_29 | ~spl52_175), 14.34/2.48 inference(avatar_split_clause,[],[f2033,f2028,f696,f2035])). 14.34/2.48 tff(f2033,plain,( 14.34/2.48 sF34 = string_of_array1(sF31,2,sK4) | (~spl52_29 | ~spl52_175)), 14.34/2.48 inference(superposition,[],[f698,f2030])). 14.34/2.48 tff(f2031,plain,( 14.34/2.48 spl52_175 | ~spl52_101 | ~spl52_170), 14.34/2.48 inference(avatar_split_clause,[],[f2024,f1935,f1167,f2028])). 14.34/2.48 tff(f2024,plain,( 14.34/2.48 sK4 = sF33 | (~spl52_101 | ~spl52_170)), 14.34/2.48 inference(superposition,[],[f1169,f1937])). 14.34/2.48 tff(f2020,plain,( 14.34/2.48 spl52_174 | ~spl52_42 | ~spl52_173), 14.34/2.48 inference(avatar_split_clause,[],[f2015,f2009,f761,f2017])). 14.34/2.48 tff(f2015,plain,( 14.34/2.48 sF17 = string_of_array1(sF14,2,sK4) | (~spl52_42 | ~spl52_173)), 14.34/2.48 inference(superposition,[],[f763,f2011])). 14.34/2.48 tff(f2012,plain,( 14.34/2.48 spl52_173 | ~spl52_105 | ~spl52_156), 14.34/2.48 inference(avatar_split_clause,[],[f2006,f1775,f1198,f2009])). 14.34/2.48 tff(f1775,plain,( 14.34/2.48 spl52_156 <=> sK4 = length5(rope,sF13)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_156])])). 14.34/2.48 tff(f2006,plain,( 14.34/2.48 sK4 = sF16 | (~spl52_105 | ~spl52_156)), 14.34/2.48 inference(superposition,[],[f1200,f1777])). 14.34/2.48 tff(f1777,plain,( 14.34/2.48 sK4 = length5(rope,sF13) | ~spl52_156), 14.34/2.48 inference(avatar_component_clause,[],[f1775])). 14.34/2.48 tff(f2000,plain,( 14.34/2.48 spl52_172 | spl52_164 | ~spl52_75 | ~spl52_105), 14.34/2.48 inference(avatar_split_clause,[],[f1999,f1198,f955,f1900,f1995])). 14.34/2.48 tff(f1900,plain,( 14.34/2.48 spl52_164 <=> $less(sF16,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_164])])). 14.34/2.48 tff(f1999,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sF16,0) | $less(X0,X1) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X2,X0) | $less(X1,0) | $less(sF16,X2)) ) | (~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1998,f1200])). 14.34/2.48 tff(f1998,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,0) | $less(X2,X0) | $less(sF16,X2) | $less(X0,X1) | $less(length5(rope,sF13),0) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0)))) ) | (~spl52_75 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1980,f1200])). 14.34/2.48 tff(f1980,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X1,0) | $less(X0,X1) | $less(length5(rope,sF13),X2) | $less(X2,X0) | $less(length5(rope,sF13),0)) ) | ~spl52_75), 14.34/2.48 inference(superposition,[],[f461,f957])). 14.34/2.48 tff(f1997,plain,( 14.34/2.48 spl52_172 | spl52_164 | ~spl52_30 | ~spl52_77 | ~spl52_105), 14.34/2.48 inference(avatar_split_clause,[],[f1993,f1198,f974,f701,f1900,f1995])). 14.34/2.48 tff(f1993,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X2,X0) | $less(X0,X1) | $less(sF16,0) | $less(X1,0) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(sF16,X2)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1992,f1200])). 14.34/2.48 tff(f1992,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X1,0) | $less(length5(rope,sF13),X2) | $less(X2,X0) | $less(X0,X1) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(sF16,0)) ) | (~spl52_30 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1991,f1200])). 14.34/2.48 tff(f1991,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(length5(rope,sF13),0) | $less(X2,X0) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X1,0) | $less(length5(rope,sF13),X2)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f1990,f976])). 14.34/2.48 tff(f1990,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(length5(rope,sF15),X2) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X1,0) | $less(X2,X0) | $less(length5(rope,sF13),0)) ) | (~spl52_30 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f1981,f976])). 14.34/2.48 tff(f1981,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | infix_eqeq1(string_of_array1(sF14,X1,X2),app2(string_of_array1(sF14,X0,X2),string_of_array1(sF14,X1,X0))) | $less(X1,0) | $less(length5(rope,sF15),0) | $less(X2,X0) | $less(length5(rope,sF15),X2)) ) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f461,f703])). 14.34/2.48 tff(f1989,plain,( 14.34/2.48 spl52_166 | spl52_171 | ~spl52_60 | ~spl52_101), 14.34/2.48 inference(avatar_split_clause,[],[f1985,f1167,f854,f1987,f1914])). 14.34/2.48 tff(f1914,plain,( 14.34/2.48 spl52_166 <=> $less(sF33,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_166])])). 14.34/2.48 tff(f1987,plain,( 14.34/2.48 spl52_171 <=> ! [X2 : $int,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF31,X1,X2),app2(string_of_array1(sF31,X0,X2),string_of_array1(sF31,X1,X0))) | $less(X2,X0) | $less(X0,X1) | $less(sF33,X2) | $less(X1,0))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_171])])). 14.34/2.48 tff(f1985,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : (infix_eqeq1(string_of_array1(sF31,X1,X2),app2(string_of_array1(sF31,X0,X2),string_of_array1(sF31,X1,X0))) | $less(X1,0) | $less(sF33,X2) | $less(sF33,0) | $less(X0,X1) | $less(X2,X0)) ) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f1984,f1169])). 14.34/2.48 tff(f1984,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X1) | $less(sF33,X2) | $less(X1,0) | $less(X2,X0) | infix_eqeq1(string_of_array1(sF31,X1,X2),app2(string_of_array1(sF31,X0,X2),string_of_array1(sF31,X1,X0))) | $less(length5(rope,sF30),0)) ) | (~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f1979,f1169])). 14.34/2.48 tff(f1979,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(length5(rope,sF30),X2) | infix_eqeq1(string_of_array1(sF31,X1,X2),app2(string_of_array1(sF31,X0,X2),string_of_array1(sF31,X1,X0))) | $less(X1,0) | $less(length5(rope,sF30),0) | $less(X0,X1) | $less(X2,X0)) ) | ~spl52_60), 14.34/2.48 inference(superposition,[],[f461,f856])). 14.34/2.48 tff(f1940,plain,( 14.34/2.48 spl52_125 | ~spl52_36), 14.34/2.48 inference(avatar_split_clause,[],[f1939,f731,f1372])). 14.34/2.48 tff(f731,plain,( 14.34/2.48 spl52_36 <=> mk_array1(rope,sK4,sF29) = sF30), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_36])])). 14.34/2.48 tff(f1939,plain,( 14.34/2.48 sF29 = elts(rope,sF30) | ~spl52_36), 14.34/2.48 inference(subsumption_resolution,[],[f1931,f895])). 14.34/2.48 tff(f895,plain,( 14.34/2.48 ( ! [X0 : uni] : (sort1(map(int,rope),X0)) )), 14.34/2.48 inference(superposition,[],[f348,f372])). 14.34/2.48 tff(f372,plain,( 14.34/2.48 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f144])). 14.34/2.48 tff(f144,plain,( 14.34/2.48 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 14.34/2.48 inference(rectify,[],[f21])). 14.34/2.48 tff(f21,axiom,( 14.34/2.48 ! [X11 : uni] : t2tb3(tb2t3(X11)) = X11), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f348,plain,( 14.34/2.48 ( ! [X0 : map_int_rope] : (sort1(map(int,rope),t2tb3(X0))) )), 14.34/2.48 inference(cnf_transformation,[],[f212])). 14.34/2.48 tff(f212,plain,( 14.34/2.48 ! [X0 : map_int_rope] : sort1(map(int,rope),t2tb3(X0))), 14.34/2.48 inference(rectify,[],[f5])). 14.34/2.48 tff(f5,axiom,( 14.34/2.48 ! [X8 : map_int_rope] : sort1(map(int,rope),t2tb3(X8))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1931,plain,( 14.34/2.48 sF29 = elts(rope,sF30) | ~sort1(map(int,rope),sF29) | ~spl52_36), 14.34/2.48 inference(superposition,[],[f475,f733])). 14.34/2.48 tff(f733,plain,( 14.34/2.48 mk_array1(rope,sK4,sF29) = sF30 | ~spl52_36), 14.34/2.48 inference(avatar_component_clause,[],[f731])). 14.34/2.48 tff(f475,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : uni,X1 : ty] : (elts(X1,mk_array1(X1,X2,X0)) = X0 | ~sort1(map(int,X1),X0)) )), 14.34/2.48 inference(cnf_transformation,[],[f342])). 14.34/2.48 tff(f342,plain,( 14.34/2.48 ! [X0 : uni,X1 : ty,X2 : $int] : (~sort1(map(int,X1),X0) | elts(X1,mk_array1(X1,X2,X0)) = X0)), 14.34/2.48 inference(rectify,[],[f264])). 14.34/2.48 tff(f264,plain,( 14.34/2.48 ! [X2 : uni,X1 : ty,X0 : $int] : (~sort1(map(int,X1),X2) | elts(X1,mk_array1(X1,X0,X2)) = X2)), 14.34/2.48 inference(ennf_transformation,[],[f157])). 14.34/2.48 tff(f157,plain,( 14.34/2.48 ! [X1 : ty,X2 : uni,X0 : $int] : (sort1(map(int,X1),X2) => elts(X1,mk_array1(X1,X0,X2)) = X2)), 14.34/2.48 inference(rectify,[],[f48])). 14.34/2.48 tff(f48,axiom,( 14.34/2.48 ! [X0 : $int,X7 : ty,X1 : uni] : (sort1(map(int,X7),X1) => elts(X7,mk_array1(X7,X0,X1)) = X1)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1938,plain,( 14.34/2.48 spl52_170 | ~spl52_36), 14.34/2.48 inference(avatar_split_clause,[],[f1932,f731,f1935])). 14.34/2.48 tff(f1932,plain,( 14.34/2.48 sK4 = length5(rope,sF30) | ~spl52_36), 14.34/2.48 inference(superposition,[],[f354,f733])). 14.34/2.48 tff(f354,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : uni,X1 : ty] : (length5(X1,mk_array1(X1,X2,X0)) = X2) )), 14.34/2.48 inference(cnf_transformation,[],[f278])). 14.34/2.48 tff(f278,plain,( 14.34/2.48 ! [X0 : uni,X1 : ty,X2 : $int] : length5(X1,mk_array1(X1,X2,X0)) = X2), 14.34/2.48 inference(rectify,[],[f149])). 14.34/2.48 tff(f149,plain,( 14.34/2.48 ! [X1 : uni,X0 : ty,X2 : $int] : length5(X0,mk_array1(X0,X2,X1)) = X2), 14.34/2.48 inference(rectify,[],[f81])). 14.34/2.48 tff(f81,axiom,( 14.34/2.48 ! [X7 : ty,X1 : uni,X0 : $int] : length5(X7,mk_array1(X7,X0,X1)) = X0), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1929,plain,( 14.34/2.48 spl52_166 | spl52_167 | spl52_168 | spl52_169 | ~spl52_29 | ~spl52_60 | ~spl52_101), 14.34/2.48 inference(avatar_split_clause,[],[f1912,f1167,f854,f696,f1926,f1922,f1918,f1914])). 14.34/2.48 tff(f1926,plain,( 14.34/2.48 spl52_169 <=> $less(sF33,2)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_169])])). 14.34/2.48 tff(f1912,plain,( 14.34/2.48 $less(sF33,2) | $less(sK2(2,sF33,sF31),sF33) | $less(sF33,0) | infix_eqeq1(sF34,empty1) | (~spl52_29 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f1911,f1169])). 14.34/2.48 tff(f1911,plain,( 14.34/2.48 $less(length5(rope,sF30),0) | $less(sK2(2,sF33,sF31),sF33) | $less(sF33,2) | infix_eqeq1(sF34,empty1) | (~spl52_29 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(subsumption_resolution,[],[f1910,f127])). 14.34/2.48 tff(f1910,plain,( 14.34/2.48 $less(length5(rope,sF30),0) | $less(sF33,2) | infix_eqeq1(sF34,empty1) | $less(sK2(2,sF33,sF31),sF33) | $less(sF33,sF33) | (~spl52_29 | ~spl52_60 | ~spl52_101)), 14.34/2.48 inference(forward_demodulation,[],[f1909,f1169])). 14.34/2.48 tff(f1909,plain,( 14.34/2.48 infix_eqeq1(sF34,empty1) | $less(length5(rope,sF30),sF33) | $less(sK2(2,sF33,sF31),sF33) | $less(sF33,2) | $less(length5(rope,sF30),0) | (~spl52_29 | ~spl52_60)), 14.34/2.48 inference(forward_demodulation,[],[f1908,f856])). 14.34/2.48 tff(f1908,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF31)),0) | infix_eqeq1(sF34,empty1) | $less(length5(rope,sF30),sF33) | $less(sF33,2) | $less(sK2(2,sF33,sF31),sF33) | (~spl52_29 | ~spl52_60)), 14.34/2.48 inference(forward_demodulation,[],[f1881,f856])). 14.34/2.48 tff(f1881,plain,( 14.34/2.48 $less(sK2(2,sF33,sF31),sF33) | $less(length5(rope,t2tb1(sF31)),sF33) | $less(length5(rope,t2tb1(sF31)),0) | infix_eqeq1(sF34,empty1) | $less(sF33,2) | ~spl52_29), 14.34/2.48 inference(evaluation,[],[f1879])). 14.34/2.48 tff(f1879,plain,( 14.34/2.48 $less(2,0) | $less(sF33,2) | $less(length5(rope,t2tb1(sF31)),0) | $less(sK2(2,sF33,sF31),sF33) | infix_eqeq1(sF34,empty1) | $less(length5(rope,t2tb1(sF31)),sF33) | ~spl52_29), 14.34/2.48 inference(superposition,[],[f419,f698])). 14.34/2.48 tff(f1907,plain,( 14.34/2.48 spl52_162 | spl52_163 | spl52_164 | spl52_165 | ~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105), 14.34/2.48 inference(avatar_split_clause,[],[f1890,f1198,f974,f761,f701,f1904,f1900,f1896,f1892])). 14.34/2.48 tff(f1896,plain,( 14.34/2.48 spl52_163 <=> $less(sF16,2)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_163])])). 14.34/2.48 tff(f1890,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sF16,0) | $less(sK2(2,sF16,sF14),sF16) | $less(sF16,2) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1889,f1200])). 14.34/2.48 tff(f1889,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(length5(rope,sF13),0) | $less(sK2(2,sF16,sF14),sF16) | $less(sF16,2) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1888,f976])). 14.34/2.48 tff(f1888,plain,( 14.34/2.48 $less(sK2(2,sF16,sF14),sF16) | infix_eqeq1(sF17,empty1) | $less(sF16,2) | $less(length5(rope,sF15),0) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1887,f703])). 14.34/2.48 tff(f1887,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sK2(2,sF16,sF14),sF16) | $less(sF16,2) | $less(length5(rope,t2tb1(sF14)),0) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(subsumption_resolution,[],[f1886,f127])). 14.34/2.48 tff(f1886,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sF16,2) | $less(sK2(2,sF16,sF14),sF16) | $less(sF16,sF16) | $less(length5(rope,t2tb1(sF14)),0) | (~spl52_30 | ~spl52_42 | ~spl52_77 | ~spl52_105)), 14.34/2.48 inference(forward_demodulation,[],[f1885,f1200])). 14.34/2.48 tff(f1885,plain,( 14.34/2.48 $less(length5(rope,sF13),sF16) | $less(length5(rope,t2tb1(sF14)),0) | $less(sK2(2,sF16,sF14),sF16) | infix_eqeq1(sF17,empty1) | $less(sF16,2) | (~spl52_30 | ~spl52_42 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f1884,f976])). 14.34/2.48 tff(f1884,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(length5(rope,sF15),sF16) | $less(length5(rope,t2tb1(sF14)),0) | $less(sK2(2,sF16,sF14),sF16) | $less(sF16,2) | (~spl52_30 | ~spl52_42)), 14.34/2.48 inference(forward_demodulation,[],[f1883,f703])). 14.34/2.48 tff(f1883,plain,( 14.34/2.48 $less(length5(rope,t2tb1(sF14)),sF16) | $less(sF16,2) | $less(sK2(2,sF16,sF14),sF16) | infix_eqeq1(sF17,empty1) | $less(length5(rope,t2tb1(sF14)),0) | ~spl52_42), 14.34/2.48 inference(evaluation,[],[f1880])). 14.34/2.48 tff(f1880,plain,( 14.34/2.48 infix_eqeq1(sF17,empty1) | $less(sK2(2,sF16,sF14),sF16) | $less(sF16,2) | $less(length5(rope,t2tb1(sF14)),0) | $less(2,0) | $less(length5(rope,t2tb1(sF14)),sF16) | ~spl52_42), 14.34/2.48 inference(superposition,[],[f419,f763])). 14.34/2.48 tff(f1873,plain,( 14.34/2.48 spl52_161 | ~spl52_89 | ~spl52_141 | ~spl52_159), 14.34/2.48 inference(avatar_split_clause,[],[f1872,f1810,f1549,f1074,f1868])). 14.34/2.48 tff(f1810,plain,( 14.34/2.48 spl52_159 <=> sF50 = sF51), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_159])])). 14.34/2.48 tff(f1872,plain,( 14.34/2.48 $less(sF50,sF28) | (~spl52_89 | ~spl52_141 | ~spl52_159)), 14.34/2.48 inference(forward_demodulation,[],[f1864,f1076])). 14.34/2.48 tff(f1864,plain,( 14.34/2.48 $less(sF50,sF44) | (~spl52_141 | ~spl52_159)), 14.34/2.48 inference(superposition,[],[f1551,f1812])). 14.34/2.48 tff(f1812,plain,( 14.34/2.48 sF50 = sF51 | ~spl52_159), 14.34/2.48 inference(avatar_component_clause,[],[f1810])). 14.34/2.48 tff(f1871,plain,( 14.34/2.48 spl52_161 | ~spl52_17 | ~spl52_159), 14.34/2.48 inference(avatar_split_clause,[],[f1866,f1810,f636,f1868])). 14.34/2.48 tff(f1866,plain,( 14.34/2.48 $less(sF50,sF28) | (~spl52_17 | ~spl52_159)), 14.34/2.48 inference(superposition,[],[f638,f1812])). 14.34/2.48 tff(f1840,plain,( 14.34/2.48 spl52_160 | ~spl52_89 | ~spl52_142 | ~spl52_158), 14.34/2.48 inference(avatar_split_clause,[],[f1839,f1805,f1554,f1074,f1835])). 14.34/2.48 tff(f1554,plain,( 14.34/2.48 spl52_142 <=> $less(sF26,sF44)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_142])])). 14.34/2.48 tff(f1805,plain,( 14.34/2.48 spl52_158 <=> sF25 = sF26), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_158])])). 14.34/2.48 tff(f1839,plain,( 14.34/2.48 $less(sF25,sF28) | (~spl52_89 | ~spl52_142 | ~spl52_158)), 14.34/2.48 inference(forward_demodulation,[],[f1831,f1076])). 14.34/2.48 tff(f1831,plain,( 14.34/2.48 $less(sF25,sF44) | (~spl52_142 | ~spl52_158)), 14.34/2.48 inference(superposition,[],[f1556,f1807])). 14.34/2.48 tff(f1807,plain,( 14.34/2.48 sF25 = sF26 | ~spl52_158), 14.34/2.48 inference(avatar_component_clause,[],[f1805])). 14.34/2.48 tff(f1556,plain,( 14.34/2.48 $less(sF26,sF44) | ~spl52_142), 14.34/2.48 inference(avatar_component_clause,[],[f1554])). 14.34/2.48 tff(f1838,plain,( 14.34/2.48 spl52_160 | ~spl52_39 | ~spl52_158), 14.34/2.48 inference(avatar_split_clause,[],[f1833,f1805,f746,f1835])). 14.34/2.48 tff(f1833,plain,( 14.34/2.48 $less(sF25,sF28) | (~spl52_39 | ~spl52_158)), 14.34/2.48 inference(superposition,[],[f748,f1807])). 14.34/2.48 tff(f1813,plain,( 14.34/2.48 spl52_159 | ~spl52_41 | ~spl52_91), 14.34/2.48 inference(avatar_split_clause,[],[f1802,f1083,f756,f1810])). 14.34/2.48 tff(f1802,plain,( 14.34/2.48 sF50 = sF51 | (~spl52_41 | ~spl52_91)), 14.34/2.48 inference(evaluation,[],[f1799])). 14.34/2.48 tff(f1799,plain,( 14.34/2.48 sF51 = $sum(0,sF50) | (~spl52_41 | ~spl52_91)), 14.34/2.48 inference(superposition,[],[f758,f1085])). 14.34/2.48 tff(f1085,plain,( 14.34/2.48 0 = sF18 | ~spl52_91), 14.34/2.48 inference(avatar_component_clause,[],[f1083])). 14.34/2.48 tff(f1808,plain,( 14.34/2.48 spl52_158 | ~spl52_22 | ~spl52_91), 14.34/2.48 inference(avatar_split_clause,[],[f1803,f1083,f661,f1805])). 14.34/2.48 tff(f1803,plain,( 14.34/2.48 sF25 = sF26 | (~spl52_22 | ~spl52_91)), 14.34/2.48 inference(evaluation,[],[f1800])). 14.34/2.48 tff(f1800,plain,( 14.34/2.48 sF26 = $sum(0,sF25) | (~spl52_22 | ~spl52_91)), 14.34/2.48 inference(superposition,[],[f663,f1085])). 14.34/2.48 tff(f1798,plain,( 14.34/2.48 spl52_157 | spl52_23), 14.34/2.48 inference(avatar_split_clause,[],[f1793,f666,f1795])). 14.34/2.48 tff(f1793,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | spl52_23), 14.34/2.48 inference(subsumption_resolution,[],[f1789,f127])). 14.34/2.48 tff(f1789,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | $less(max3,max3) | spl52_23), 14.34/2.48 inference(resolution,[],[f533,f668])). 14.34/2.48 tff(f1791,plain,( 14.34/2.48 spl52_127 | spl52_23), 14.34/2.48 inference(avatar_split_clause,[],[f1790,f666,f1396])). 14.34/2.48 tff(f1790,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | spl52_23), 14.34/2.48 inference(subsumption_resolution,[],[f1783,f668])). 14.34/2.48 tff(f1783,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | $less(max3,2)), 14.34/2.48 inference(interpreted_simplification,[],[f1782])). 14.34/2.48 tff(f1782,plain,( 14.34/2.48 $less(2,2) | $less(max3,2) | inv1(tb2t2(get(rope,int,sF29,t2tb(2))))), 14.34/2.48 inference(instantiation,[],[f533])). 14.34/2.48 tff(f1778,plain,( 14.34/2.48 spl52_156 | ~spl52_14), 14.34/2.48 inference(avatar_split_clause,[],[f1770,f621,f1775])). 14.34/2.48 tff(f621,plain,( 14.34/2.48 spl52_14 <=> mk_array1(rope,sK4,sF12) = sF13), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_14])])). 14.34/2.48 tff(f1770,plain,( 14.34/2.48 sK4 = length5(rope,sF13) | ~spl52_14), 14.34/2.48 inference(superposition,[],[f354,f623])). 14.34/2.48 tff(f623,plain,( 14.34/2.48 mk_array1(rope,sK4,sF12) = sF13 | ~spl52_14), 14.34/2.48 inference(avatar_component_clause,[],[f621])). 14.34/2.48 tff(f1773,plain,( 14.34/2.48 spl52_120 | ~spl52_14), 14.34/2.48 inference(avatar_split_clause,[],[f1772,f621,f1322])). 14.34/2.48 tff(f1772,plain,( 14.34/2.48 sF12 = elts(rope,sF13) | ~spl52_14), 14.34/2.48 inference(subsumption_resolution,[],[f1769,f895])). 14.34/2.48 tff(f1769,plain,( 14.34/2.48 ~sort1(map(int,rope),sF12) | sF12 = elts(rope,sF13) | ~spl52_14), 14.34/2.48 inference(superposition,[],[f475,f623])). 14.34/2.48 tff(f1767,plain,( 14.34/2.48 spl52_155 | spl52_23), 14.34/2.48 inference(avatar_split_clause,[],[f1762,f666,f1764])). 14.34/2.48 tff(f1762,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(max3)))) | spl52_23), 14.34/2.48 inference(subsumption_resolution,[],[f1759,f127])). 14.34/2.48 tff(f1759,plain,( 14.34/2.48 $less(max3,max3) | inv1(tb2t2(get(rope,int,sF12,t2tb(max3)))) | spl52_23), 14.34/2.48 inference(resolution,[],[f522,f668])). 14.34/2.48 tff(f1761,plain,( 14.34/2.48 spl52_122 | spl52_23), 14.34/2.48 inference(avatar_split_clause,[],[f1760,f666,f1344])). 14.34/2.48 tff(f1760,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | spl52_23), 14.34/2.48 inference(subsumption_resolution,[],[f1753,f668])). 14.34/2.48 tff(f1753,plain,( 14.34/2.48 $less(max3,2) | inv1(tb2t2(get(rope,int,sF12,t2tb(2))))), 14.34/2.48 inference(interpreted_simplification,[],[f1752])). 14.34/2.48 tff(f1752,plain,( 14.34/2.48 $less(2,2) | inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | $less(max3,2)), 14.34/2.48 inference(instantiation,[],[f522])). 14.34/2.48 tff(f1750,plain,( 14.34/2.48 spl52_154 | ~spl52_16 | ~spl52_40), 14.34/2.48 inference(avatar_split_clause,[],[f1177,f751,f631,f1747])). 14.34/2.48 tff(f1747,plain,( 14.34/2.48 spl52_154 <=> $sum(max3,1) = sK4), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_154])])). 14.34/2.48 tff(f631,plain,( 14.34/2.48 spl52_16 <=> sK4 = sF27), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_16])])). 14.34/2.48 tff(f751,plain,( 14.34/2.48 spl52_40 <=> $sum(max3,1) = sF27), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_40])])). 14.34/2.48 tff(f1177,plain,( 14.34/2.48 $sum(max3,1) = sK4 | (~spl52_16 | ~spl52_40)), 14.34/2.48 inference(forward_demodulation,[],[f753,f633])). 14.34/2.48 tff(f633,plain,( 14.34/2.48 sK4 = sF27 | ~spl52_16), 14.34/2.48 inference(avatar_component_clause,[],[f631])). 14.34/2.48 tff(f753,plain,( 14.34/2.48 $sum(max3,1) = sF27 | ~spl52_40), 14.34/2.48 inference(avatar_component_clause,[],[f751])). 14.34/2.48 tff(f1744,plain,( 14.34/2.48 spl52_153 | ~spl52_34 | ~spl52_144), 14.34/2.48 inference(avatar_split_clause,[],[f1711,f1680,f721,f1741])). 14.34/2.48 tff(f1741,plain,( 14.34/2.48 spl52_153 <=> sF38 = str_proj_31(emp1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_153])])). 14.34/2.48 tff(f1711,plain,( 14.34/2.48 sF38 = str_proj_31(emp1) | (~spl52_34 | ~spl52_144)), 14.34/2.48 inference(superposition,[],[f723,f1682])). 14.34/2.48 tff(f1682,plain,( 14.34/2.48 emp1 = sK9 | ~spl52_144), 14.34/2.48 inference(avatar_component_clause,[],[f1680])). 14.34/2.48 tff(f1739,plain,( 14.34/2.48 spl52_150 | ~spl52_107 | ~spl52_114 | ~spl52_144), 14.34/2.48 inference(avatar_split_clause,[],[f1738,f1680,f1279,f1229,f1719])). 14.34/2.48 tff(f1719,plain,( 14.34/2.48 spl52_150 <=> sK6 = app3(sK8,emp1,sF47)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_150])])). 14.34/2.48 tff(f1738,plain,( 14.34/2.48 sK6 = app3(sK8,emp1,sF47) | (~spl52_107 | ~spl52_114 | ~spl52_144)), 14.34/2.48 inference(forward_demodulation,[],[f1712,f1281])). 14.34/2.48 tff(f1712,plain,( 14.34/2.48 sK6 = app3(sK8,emp1,sK7) | (~spl52_107 | ~spl52_144)), 14.34/2.48 inference(superposition,[],[f1231,f1682])). 14.34/2.48 tff(f1737,plain,( 14.34/2.48 spl52_152 | ~spl52_33 | ~spl52_144), 14.34/2.48 inference(avatar_split_clause,[],[f1710,f1680,f716,f1734])). 14.34/2.48 tff(f1734,plain,( 14.34/2.48 spl52_152 <=> sF40 = app_proj_31(emp1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_152])])). 14.34/2.48 tff(f1710,plain,( 14.34/2.48 sF40 = app_proj_31(emp1) | (~spl52_33 | ~spl52_144)), 14.34/2.48 inference(superposition,[],[f718,f1682])). 14.34/2.48 tff(f1730,plain,( 14.34/2.48 spl52_151 | ~spl52_31 | ~spl52_144), 14.34/2.48 inference(avatar_split_clause,[],[f1709,f1680,f706,f1727])). 14.34/2.48 tff(f1727,plain,( 14.34/2.48 spl52_151 <=> sF42 = match_rope1(int,emp1,sF19,sF39,sF41)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_151])])). 14.34/2.48 tff(f1709,plain,( 14.34/2.48 sF42 = match_rope1(int,emp1,sF19,sF39,sF41) | (~spl52_31 | ~spl52_144)), 14.34/2.48 inference(superposition,[],[f708,f1682])). 14.34/2.48 tff(f1725,plain,( 14.34/2.48 ~spl52_47 | ~spl52_110 | ~spl52_144), 14.34/2.48 inference(avatar_contradiction_clause,[],[f1724])). 14.34/2.48 tff(f1724,plain,( 14.34/2.48 $false | (~spl52_47 | ~spl52_110 | ~spl52_144)), 14.34/2.48 inference(evaluation,[],[f1723])). 14.34/2.48 tff(f1723,plain,( 14.34/2.48 $less(0,0) | (~spl52_47 | ~spl52_110 | ~spl52_144)), 14.34/2.48 inference(forward_demodulation,[],[f1714,f788])). 14.34/2.48 tff(f788,plain,( 14.34/2.48 0 = length4(emp1) | ~spl52_47), 14.34/2.48 inference(avatar_component_clause,[],[f786])). 14.34/2.48 tff(f786,plain,( 14.34/2.48 spl52_47 <=> 0 = length4(emp1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_47])])). 14.34/2.48 tff(f1714,plain,( 14.34/2.48 $less(0,length4(emp1)) | (~spl52_110 | ~spl52_144)), 14.34/2.48 inference(superposition,[],[f1258,f1682])). 14.34/2.48 tff(f1722,plain,( 14.34/2.48 spl52_150 | ~spl52_119 | ~spl52_144), 14.34/2.48 inference(avatar_split_clause,[],[f1716,f1680,f1313,f1719])). 14.34/2.48 tff(f1716,plain,( 14.34/2.48 sK6 = app3(sK8,emp1,sF47) | (~spl52_119 | ~spl52_144)), 14.34/2.48 inference(superposition,[],[f1315,f1682])). 14.34/2.48 tff(f1708,plain,( 14.34/2.48 spl52_147 | spl52_148 | spl52_149 | ~spl52_12 | ~spl52_56), 14.34/2.48 inference(avatar_split_clause,[],[f1695,f831,f611,f1705,f1701,f1697])). 14.34/2.48 tff(f1695,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),sF22) | emp1 = sK8 | sK8 = str1(str_proj_11(sK8),str_proj_21(sK8),sF20) | (~spl52_12 | ~spl52_56)), 14.34/2.48 inference(forward_demodulation,[],[f1657,f613])). 14.34/2.48 tff(f1657,plain,( 14.34/2.48 sK8 = app3(app_proj_11(sK8),app_proj_21(sK8),app_proj_31(sK8)) | sK8 = str1(str_proj_11(sK8),str_proj_21(sK8),sF20) | emp1 = sK8 | ~spl52_56), 14.34/2.48 inference(superposition,[],[f452,f833])). 14.34/2.48 tff(f1691,plain,( 14.34/2.48 spl52_144 | spl52_145 | spl52_146 | ~spl52_33 | ~spl52_34), 14.34/2.48 inference(avatar_split_clause,[],[f1678,f721,f716,f1688,f1684,f1680])). 14.34/2.48 tff(f1678,plain,( 14.34/2.48 sK9 = str1(str_proj_11(sK9),str_proj_21(sK9),sF38) | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),sF40) | emp1 = sK9 | (~spl52_33 | ~spl52_34)), 14.34/2.48 inference(forward_demodulation,[],[f1658,f718])). 14.34/2.48 tff(f1658,plain,( 14.34/2.48 emp1 = sK9 | sK9 = app3(app_proj_11(sK9),app_proj_21(sK9),app_proj_31(sK9)) | sK9 = str1(str_proj_11(sK9),str_proj_21(sK9),sF38) | ~spl52_34), 14.34/2.48 inference(superposition,[],[f452,f723])). 14.34/2.48 tff(f1568,plain,( 14.34/2.48 spl52_143 | ~spl52_44 | ~spl52_53), 14.34/2.48 inference(avatar_split_clause,[],[f1563,f816,f771,f1565])). 14.34/2.48 tff(f1565,plain,( 14.34/2.48 spl52_143 <=> 1 = fib1(2)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_143])])). 14.34/2.48 tff(f771,plain,( 14.34/2.48 spl52_44 <=> 0 = fib1(0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_44])])). 14.34/2.48 tff(f816,plain,( 14.34/2.48 spl52_53 <=> 1 = fib1(1)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_53])])). 14.34/2.48 tff(f1563,plain,( 14.34/2.48 1 = fib1(2) | (~spl52_44 | ~spl52_53)), 14.34/2.48 inference(forward_demodulation,[],[f1562,f818])). 14.34/2.48 tff(f818,plain,( 14.34/2.48 1 = fib1(1) | ~spl52_53), 14.34/2.48 inference(avatar_component_clause,[],[f816])). 14.34/2.48 tff(f1562,plain,( 14.34/2.48 fib1(1) = fib1(2) | ~spl52_44), 14.34/2.48 inference(evaluation,[],[f1561])). 14.34/2.48 tff(f1561,plain,( 14.34/2.48 fib1(2) = $sum(fib1(1),0) | ~spl52_44), 14.34/2.48 inference(forward_demodulation,[],[f1560,f773])). 14.34/2.48 tff(f773,plain,( 14.34/2.48 0 = fib1(0) | ~spl52_44), 14.34/2.48 inference(avatar_component_clause,[],[f771])). 14.34/2.48 tff(f1560,plain,( 14.34/2.48 fib1(2) = $sum(fib1(1),fib1(0))), 14.34/2.48 inference(evaluation,[],[f1559])). 14.34/2.48 tff(f1559,plain,( 14.34/2.48 fib1(2) = $sum(fib1($sum(2,-1)),fib1($sum(2,-2)))), 14.34/2.48 inference(interpreted_simplification,[],[f1558])). 14.34/2.48 tff(f1558,plain,( 14.34/2.48 fib1(2) = $sum(fib1($sum(2,-1)),fib1($sum(2,-2))) | $less(2,2)), 14.34/2.48 inference(instantiation,[],[f554])). 14.34/2.48 tff(f554,plain,( 14.34/2.48 ( ! [X0 : $int] : (fib1(X0) = $sum(fib1($sum(X0,-1)),fib1($sum(X0,-2))) | $less(X0,2)) )), 14.34/2.48 inference(evaluation,[],[f393])). 14.34/2.48 tff(f393,plain,( 14.34/2.48 ( ! [X0 : $int] : ($less(X0,2) | fib1(X0) = $sum(fib1($sum(X0,$uminus(1))),fib1($sum(X0,$uminus(2))))) )), 14.34/2.48 inference(cnf_transformation,[],[f235])). 14.34/2.48 tff(f235,plain,( 14.34/2.48 ! [X0 : $int] : (fib1(X0) = $sum(fib1($sum(X0,$uminus(1))),fib1($sum(X0,$uminus(2)))) | $less(X0,2))), 14.34/2.48 inference(ennf_transformation,[],[f201])). 14.34/2.48 tff(f201,plain,( 14.34/2.48 ! [X0 : $int] : (~$less(X0,2) => fib1(X0) = $sum(fib1($sum(X0,$uminus(1))),fib1($sum(X0,$uminus(2)))))), 14.34/2.48 inference(rectify,[],[f111])). 14.34/2.48 tff(f111,plain,( 14.34/2.48 ! [X32 : $int] : (~$less(X32,2) => fib1(X32) = $sum(fib1($sum(X32,$uminus(1))),fib1($sum(X32,$uminus(2)))))), 14.34/2.48 inference(theory_normalization,[],[f73])). 14.34/2.48 tff(f73,axiom,( 14.34/2.48 ! [X32 : $int] : ($lesseq(2,X32) => fib1(X32) = $sum(fib1($difference(X32,1)),fib1($difference(X32,2))))), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1557,plain,( 14.34/2.48 spl52_142 | ~spl52_39 | ~spl52_88), 14.34/2.48 inference(avatar_split_clause,[],[f1546,f1070,f746,f1554])). 14.34/2.48 tff(f1546,plain,( 14.34/2.48 $less(sF26,sF44) | (~spl52_39 | ~spl52_88)), 14.34/2.48 inference(resolution,[],[f1111,f748])). 14.34/2.48 tff(f1111,plain,( 14.34/2.48 ( ! [X0 : $int] : (~$less(X0,sF28) | $less(X0,sF44)) ) | ~spl52_88), 14.34/2.48 inference(resolution,[],[f1072,f128])). 14.34/2.48 tff(f1552,plain,( 14.34/2.48 spl52_141 | ~spl52_17 | ~spl52_88), 14.34/2.48 inference(avatar_split_clause,[],[f1547,f1070,f636,f1549])). 14.34/2.48 tff(f1547,plain,( 14.34/2.48 $less(sF51,sF44) | (~spl52_17 | ~spl52_88)), 14.34/2.48 inference(resolution,[],[f1111,f638])). 14.34/2.48 tff(f1535,plain,( 14.34/2.48 spl52_140 | ~spl52_52 | ~spl52_84 | ~spl52_119), 14.34/2.48 inference(avatar_split_clause,[],[f1530,f1313,f1036,f811,f1532])). 14.34/2.48 tff(f1530,plain,( 14.34/2.48 sF47 = $sum(length3(sF35),length4(sK9)) | (~spl52_52 | ~spl52_84 | ~spl52_119)), 14.34/2.48 inference(forward_demodulation,[],[f1529,f1038])). 14.34/2.48 tff(f1529,plain,( 14.34/2.48 sF47 = $sum(length4(sK8),length4(sK9)) | (~spl52_52 | ~spl52_119)), 14.34/2.48 inference(subsumption_resolution,[],[f1521,f813])). 14.34/2.48 tff(f1521,plain,( 14.34/2.48 sF47 = $sum(length4(sK8),length4(sK9)) | ~inv1(sK6) | ~spl52_119), 14.34/2.48 inference(superposition,[],[f383,f1315])). 14.34/2.48 tff(f1503,plain,( 14.34/2.48 ~spl52_139 | ~spl52_117), 14.34/2.48 inference(avatar_split_clause,[],[f1498,f1297,f1500])). 14.34/2.48 tff(f1498,plain,( 14.34/2.48 ~$less(length4(sK9),0) | ~spl52_117), 14.34/2.48 inference(superposition,[],[f405,f1299])). 14.34/2.48 tff(f1495,plain,( 14.34/2.48 spl52_138 | ~spl52_29 | ~spl52_137), 14.34/2.48 inference(avatar_split_clause,[],[f1490,f1486,f696,f1492])). 14.34/2.48 tff(f1490,plain,( 14.34/2.48 sF34 = string_of_array1(sF31,2,3) | (~spl52_29 | ~spl52_137)), 14.34/2.48 inference(superposition,[],[f698,f1488])). 14.34/2.48 tff(f1488,plain,( 14.34/2.48 sF33 = 3 | ~spl52_137), 14.34/2.48 inference(avatar_component_clause,[],[f1486])). 14.34/2.48 tff(f1489,plain,( 14.34/2.48 spl52_137 | ~spl52_101 | ~spl52_126), 14.34/2.48 inference(avatar_split_clause,[],[f1481,f1377,f1167,f1486])). 14.34/2.48 tff(f1481,plain,( 14.34/2.48 sF33 = 3 | (~spl52_101 | ~spl52_126)), 14.34/2.48 inference(superposition,[],[f1379,f1169])). 14.34/2.48 tff(f1480,plain,( 14.34/2.48 spl52_136), 14.34/2.48 inference(avatar_split_clause,[],[f1473,f1477])). 14.34/2.48 tff(f1477,plain,( 14.34/2.48 spl52_136 <=> 0 = max2(0,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_136])])). 14.34/2.48 tff(f1473,plain,( 14.34/2.48 0 = max2(0,0)), 14.34/2.48 inference(interpreted_simplification,[],[f1472])). 14.34/2.48 tff(f1472,plain,( 14.34/2.48 0 = max2(0,0) | $less(0,0)), 14.34/2.48 inference(instantiation,[],[f431])). 14.34/2.48 tff(f431,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (max2(X1,X0) = X0 | $less(X0,X1)) )), 14.34/2.48 inference(cnf_transformation,[],[f275])). 14.34/2.48 tff(f275,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : ($less(X0,X1) | max2(X1,X0) = X0)), 14.34/2.48 inference(ennf_transformation,[],[f174])). 14.34/2.48 tff(f174,plain,( 14.34/2.48 ! [X1 : $int,X0 : $int] : (~$less(X0,X1) => max2(X1,X0) = X0)), 14.34/2.48 inference(rectify,[],[f105])). 14.34/2.48 tff(f105,plain,( 14.34/2.48 ! [X28 : $int,X8 : $int] : (~$less(X28,X8) => max2(X8,X28) = X28)), 14.34/2.48 inference(theory_normalization,[],[f53])). 14.34/2.48 tff(f53,axiom,( 14.34/2.48 ! [X28 : $int,X8 : $int] : ($lesseq(X8,X28) => max2(X8,X28) = X28)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1471,plain,( 14.34/2.48 spl52_135 | ~spl52_101 | ~spl52_125), 14.34/2.48 inference(avatar_split_clause,[],[f1466,f1372,f1167,f1468])). 14.34/2.48 tff(f1468,plain,( 14.34/2.48 spl52_135 <=> sF30 = mk_array1(rope,sF33,sF29)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_135])])). 14.34/2.48 tff(f1466,plain,( 14.34/2.48 sF30 = mk_array1(rope,sF33,sF29) | (~spl52_101 | ~spl52_125)), 14.34/2.48 inference(forward_demodulation,[],[f1464,f1169])). 14.34/2.48 tff(f1464,plain,( 14.34/2.48 sF30 = mk_array1(rope,length5(rope,sF30),sF29) | ~spl52_125), 14.34/2.48 inference(superposition,[],[f406,f1374])). 14.34/2.48 tff(f1463,plain,( 14.34/2.48 spl52_134 | ~spl52_42 | ~spl52_133), 14.34/2.48 inference(avatar_split_clause,[],[f1458,f1451,f761,f1460])). 14.34/2.48 tff(f1458,plain,( 14.34/2.48 sF17 = string_of_array1(sF14,2,3) | (~spl52_42 | ~spl52_133)), 14.34/2.48 inference(superposition,[],[f763,f1453])). 14.34/2.48 tff(f1453,plain,( 14.34/2.48 sF16 = 3 | ~spl52_133), 14.34/2.48 inference(avatar_component_clause,[],[f1451])). 14.34/2.48 tff(f1454,plain,( 14.34/2.48 spl52_133 | ~spl52_105 | ~spl52_121), 14.34/2.48 inference(avatar_split_clause,[],[f1446,f1327,f1198,f1451])). 14.34/2.48 tff(f1446,plain,( 14.34/2.48 sF16 = 3 | (~spl52_105 | ~spl52_121)), 14.34/2.48 inference(superposition,[],[f1329,f1200])). 14.34/2.48 tff(f1329,plain,( 14.34/2.48 3 = length5(rope,sF13) | ~spl52_121), 14.34/2.48 inference(avatar_component_clause,[],[f1327])). 14.34/2.48 tff(f1437,plain,( 14.34/2.48 spl52_132), 14.34/2.48 inference(avatar_split_clause,[],[f1430,f1434])). 14.34/2.48 tff(f1434,plain,( 14.34/2.48 spl52_132 <=> 0 = min1(0,0)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_132])])). 14.34/2.48 tff(f1430,plain,( 14.34/2.48 0 = min1(0,0)), 14.34/2.48 inference(interpreted_simplification,[],[f1429])). 14.34/2.48 tff(f1429,plain,( 14.34/2.48 0 = min1(0,0) | $less(0,0)), 14.34/2.48 inference(instantiation,[],[f364])). 14.34/2.48 tff(f364,plain,( 14.34/2.48 ( ! [X0 : $int,X1 : $int] : (min1(X1,X0) = X0 | $less(X1,X0)) )), 14.34/2.48 inference(cnf_transformation,[],[f261])). 14.34/2.48 tff(f261,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : ($less(X1,X0) | min1(X1,X0) = X0)), 14.34/2.48 inference(ennf_transformation,[],[f171])). 14.34/2.48 tff(f171,plain,( 14.34/2.48 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => min1(X1,X0) = X0)), 14.34/2.48 inference(rectify,[],[f103])). 14.34/2.48 tff(f103,plain,( 14.34/2.48 ! [X28 : $int,X8 : $int] : (~$less(X8,X28) => min1(X8,X28) = X28)), 14.34/2.48 inference(theory_normalization,[],[f91])). 14.34/2.48 tff(f91,axiom,( 14.34/2.48 ! [X28 : $int,X8 : $int] : ($lesseq(X28,X8) => min1(X8,X28) = X28)), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1428,plain,( 14.34/2.48 spl52_131 | ~spl52_105 | ~spl52_120), 14.34/2.48 inference(avatar_split_clause,[],[f1423,f1322,f1198,f1425])). 14.34/2.48 tff(f1425,plain,( 14.34/2.48 spl52_131 <=> sF13 = mk_array1(rope,sF16,sF12)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_131])])). 14.34/2.48 tff(f1423,plain,( 14.34/2.48 sF13 = mk_array1(rope,sF16,sF12) | (~spl52_105 | ~spl52_120)), 14.34/2.48 inference(forward_demodulation,[],[f1421,f1200])). 14.34/2.48 tff(f1421,plain,( 14.34/2.48 sF13 = mk_array1(rope,length5(rope,sF13),sF12) | ~spl52_120), 14.34/2.48 inference(superposition,[],[f406,f1324])). 14.34/2.48 tff(f1419,plain,( 14.34/2.48 spl52_129 | spl52_130 | spl52_128), 14.34/2.48 inference(avatar_split_clause,[],[f1414,f1405,f1416,f1410])). 14.34/2.48 tff(f1414,plain,( 14.34/2.48 0 = sF47 | $less(0,sF47) | spl52_128), 14.34/2.48 inference(resolution,[],[f1407,f129])). 14.34/2.48 tff(f1413,plain,( 14.34/2.48 spl52_129 | ~spl52_98 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f1402,f1362,f1128,f1410])). 14.34/2.48 tff(f1402,plain,( 14.34/2.48 $less(0,sF47) | (~spl52_98 | ~spl52_124)), 14.34/2.48 inference(superposition,[],[f1130,f1364])). 14.34/2.48 tff(f1408,plain,( 14.34/2.48 ~spl52_128 | spl52_97 | ~spl52_124), 14.34/2.48 inference(avatar_split_clause,[],[f1403,f1362,f1122,f1405])). 14.34/2.48 tff(f1403,plain,( 14.34/2.48 ~$less(sF47,0) | (spl52_97 | ~spl52_124)), 14.34/2.48 inference(superposition,[],[f1124,f1364])). 14.34/2.48 tff(f1400,plain,( 14.34/2.48 spl52_127 | ~spl52_94), 14.34/2.48 inference(avatar_split_clause,[],[f1391,f1097,f1396])). 14.34/2.48 tff(f1391,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | ~spl52_94), 14.34/2.48 inference(evaluation,[],[f1389])). 14.34/2.48 tff(f1389,plain,( 14.34/2.48 $less(2,2) | inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | ~spl52_94), 14.34/2.48 inference(factoring,[],[f1304])). 14.34/2.48 tff(f1304,plain,( 14.34/2.48 ( ! [X8 : $int] : ($less(X8,2) | inv1(tb2t2(get(rope,int,sF29,t2tb(X8)))) | $less(2,X8)) ) | ~spl52_94), 14.34/2.48 inference(forward_demodulation,[],[f533,f1099])). 14.34/2.48 tff(f1099,plain,( 14.34/2.48 2 = max3 | ~spl52_94), 14.34/2.48 inference(avatar_component_clause,[],[f1097])). 14.34/2.48 tff(f1399,plain,( 14.34/2.48 spl52_127 | spl52_23 | ~spl52_94), 14.34/2.48 inference(avatar_split_clause,[],[f1394,f1097,f666,f1396])). 14.34/2.48 tff(f1394,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(2)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(forward_demodulation,[],[f1393,f1099])). 14.34/2.48 tff(f1393,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(evaluation,[],[f1392])). 14.34/2.48 tff(f1392,plain,( 14.34/2.48 $less(2,2) | inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(forward_demodulation,[],[f1388,f1099])). 14.34/2.48 tff(f1388,plain,( 14.34/2.48 $less(2,max3) | inv1(tb2t2(get(rope,int,sF29,t2tb(max3)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(resolution,[],[f1304,f668])). 14.34/2.48 tff(f1380,plain,( 14.34/2.48 spl52_126 | ~spl52_123), 14.34/2.48 inference(avatar_split_clause,[],[f1368,f1356,f1377])). 14.34/2.48 tff(f1368,plain,( 14.34/2.48 length5(rope,sF30) = 3 | ~spl52_123), 14.34/2.48 inference(superposition,[],[f354,f1358])). 14.34/2.48 tff(f1358,plain,( 14.34/2.48 sF30 = mk_array1(rope,3,sF29) | ~spl52_123), 14.34/2.48 inference(avatar_component_clause,[],[f1356])). 14.34/2.48 tff(f1375,plain,( 14.34/2.48 spl52_125 | ~spl52_123), 14.34/2.48 inference(avatar_split_clause,[],[f1370,f1356,f1372])). 14.34/2.48 tff(f1370,plain,( 14.34/2.48 sF29 = elts(rope,sF30) | ~spl52_123), 14.34/2.48 inference(subsumption_resolution,[],[f1367,f895])). 14.34/2.48 tff(f1367,plain,( 14.34/2.48 ~sort1(map(int,rope),sF29) | sF29 = elts(rope,sF30) | ~spl52_123), 14.34/2.48 inference(superposition,[],[f475,f1358])). 14.34/2.48 tff(f1365,plain,( 14.34/2.48 spl52_124 | ~spl52_113 | ~spl52_114), 14.34/2.48 inference(avatar_split_clause,[],[f1360,f1279,f1273,f1362])). 14.34/2.48 tff(f1273,plain,( 14.34/2.48 spl52_113 <=> sK7 = length4(sK6)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_113])])). 14.34/2.48 tff(f1360,plain,( 14.34/2.48 sF47 = length4(sK6) | (~spl52_113 | ~spl52_114)), 14.34/2.48 inference(forward_demodulation,[],[f1275,f1281])). 14.34/2.48 tff(f1275,plain,( 14.34/2.48 sK7 = length4(sK6) | ~spl52_113), 14.34/2.48 inference(avatar_component_clause,[],[f1273])). 14.34/2.48 tff(f1359,plain,( 14.34/2.48 spl52_123 | ~spl52_36 | ~spl52_103), 14.34/2.48 inference(avatar_split_clause,[],[f1354,f1181,f731,f1356])). 14.34/2.48 tff(f1354,plain,( 14.34/2.48 sF30 = mk_array1(rope,3,sF29) | (~spl52_36 | ~spl52_103)), 14.34/2.48 inference(forward_demodulation,[],[f733,f1183])). 14.34/2.48 tff(f1352,plain,( 14.34/2.48 spl52_122 | spl52_23 | ~spl52_94), 14.34/2.48 inference(avatar_split_clause,[],[f1351,f1097,f666,f1344])). 14.34/2.48 tff(f1351,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(forward_demodulation,[],[f1350,f1099])). 14.34/2.48 tff(f1350,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(max3)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(evaluation,[],[f1349])). 14.34/2.48 tff(f1349,plain,( 14.34/2.48 $less(2,2) | inv1(tb2t2(get(rope,int,sF12,t2tb(max3)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(forward_demodulation,[],[f1339,f1099])). 14.34/2.48 tff(f1339,plain,( 14.34/2.48 $less(2,max3) | inv1(tb2t2(get(rope,int,sF12,t2tb(max3)))) | (spl52_23 | ~spl52_94)), 14.34/2.48 inference(resolution,[],[f1303,f668])). 14.34/2.48 tff(f1303,plain,( 14.34/2.48 ( ! [X6 : $int] : ($less(X6,2) | inv1(tb2t2(get(rope,int,sF12,t2tb(X6)))) | $less(2,X6)) ) | ~spl52_94), 14.34/2.48 inference(forward_demodulation,[],[f522,f1099])). 14.34/2.48 tff(f1347,plain,( 14.34/2.48 spl52_122 | ~spl52_94), 14.34/2.48 inference(avatar_split_clause,[],[f1342,f1097,f1344])). 14.34/2.48 tff(f1342,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | ~spl52_94), 14.34/2.48 inference(evaluation,[],[f1335])). 14.34/2.48 tff(f1335,plain,( 14.34/2.48 inv1(tb2t2(get(rope,int,sF12,t2tb(2)))) | $less(2,2) | ~spl52_94), 14.34/2.48 inference(resolution,[],[f1303,f127])). 14.34/2.48 tff(f1330,plain,( 14.34/2.48 spl52_121 | ~spl52_118), 14.34/2.48 inference(avatar_split_clause,[],[f1318,f1307,f1327])). 14.34/2.48 tff(f1307,plain,( 14.34/2.48 spl52_118 <=> sF13 = mk_array1(rope,3,sF12)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_118])])). 14.34/2.48 tff(f1318,plain,( 14.34/2.48 3 = length5(rope,sF13) | ~spl52_118), 14.34/2.48 inference(superposition,[],[f354,f1309])). 14.34/2.48 tff(f1309,plain,( 14.34/2.48 sF13 = mk_array1(rope,3,sF12) | ~spl52_118), 14.34/2.48 inference(avatar_component_clause,[],[f1307])). 14.34/2.48 tff(f1325,plain,( 14.34/2.48 spl52_120 | ~spl52_118), 14.34/2.48 inference(avatar_split_clause,[],[f1320,f1307,f1322])). 14.34/2.48 tff(f1320,plain,( 14.34/2.48 sF12 = elts(rope,sF13) | ~spl52_118), 14.34/2.48 inference(subsumption_resolution,[],[f1317,f895])). 14.34/2.48 tff(f1317,plain,( 14.34/2.48 ~sort1(map(int,rope),sF12) | sF12 = elts(rope,sF13) | ~spl52_118), 14.34/2.48 inference(superposition,[],[f475,f1309])). 14.34/2.48 tff(f1316,plain,( 14.34/2.48 spl52_119 | ~spl52_107 | ~spl52_114), 14.34/2.48 inference(avatar_split_clause,[],[f1311,f1279,f1229,f1313])). 14.34/2.48 tff(f1311,plain,( 14.34/2.48 sK6 = app3(sK8,sK9,sF47) | (~spl52_107 | ~spl52_114)), 14.34/2.48 inference(superposition,[],[f1231,f1281])). 14.34/2.48 tff(f1310,plain,( 14.34/2.48 spl52_118 | ~spl52_14 | ~spl52_103), 14.34/2.48 inference(avatar_split_clause,[],[f1305,f1181,f621,f1307])). 14.34/2.48 tff(f1305,plain,( 14.34/2.48 sF13 = mk_array1(rope,3,sF12) | (~spl52_14 | ~spl52_103)), 14.34/2.48 inference(forward_demodulation,[],[f623,f1183])). 14.34/2.48 tff(f1300,plain,( 14.34/2.48 spl52_117 | ~spl52_109), 14.34/2.48 inference(avatar_split_clause,[],[f1295,f1250,f1297])). 14.34/2.48 tff(f1295,plain,( 14.34/2.48 length4(sK9) = length3(string3(sK9)) | ~spl52_109), 14.34/2.48 inference(resolution,[],[f1252,f455])). 14.34/2.48 tff(f1294,plain,( 14.34/2.48 spl52_116 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1242,f1229,f1291])). 14.34/2.48 tff(f1291,plain,( 14.34/2.48 spl52_116 <=> sK8 = app_proj_11(sK6)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_116])])). 14.34/2.48 tff(f1242,plain,( 14.34/2.48 sK8 = app_proj_11(sK6) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f474,f1231])). 14.34/2.48 tff(f474,plain,( 14.34/2.48 ( ! [X2 : $int,X0 : rope1,X1 : rope1] : (app_proj_11(app3(X0,X1,X2)) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f341])). 14.34/2.48 tff(f341,plain,( 14.34/2.48 ! [X0 : rope1,X1 : rope1,X2 : $int] : app_proj_11(app3(X0,X1,X2)) = X0), 14.34/2.48 inference(rectify,[],[f221])). 14.34/2.48 tff(f221,plain,( 14.34/2.48 ! [X1 : rope1,X0 : rope1,X2 : $int] : app_proj_11(app3(X1,X0,X2)) = X1), 14.34/2.48 inference(rectify,[],[f7])). 14.34/2.48 tff(f7,axiom,( 14.34/2.48 ! [X1 : rope1,X0 : rope1,X2 : $int] : app_proj_11(app3(X0,X1,X2)) = X0), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1289,plain,( 14.34/2.48 spl52_115 | ~spl52_52 | ~spl52_84 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1284,f1229,f1036,f811,f1286])). 14.34/2.48 tff(f1284,plain,( 14.34/2.48 $less(0,length3(sF35)) | (~spl52_52 | ~spl52_84 | ~spl52_107)), 14.34/2.48 inference(forward_demodulation,[],[f1283,f1038])). 14.34/2.48 tff(f1283,plain,( 14.34/2.48 $less(0,length4(sK8)) | (~spl52_52 | ~spl52_107)), 14.34/2.48 inference(subsumption_resolution,[],[f1236,f813])). 14.34/2.48 tff(f1236,plain,( 14.34/2.48 $less(0,length4(sK8)) | ~inv1(sK6) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f384,f1231])). 14.34/2.48 tff(f1282,plain,( 14.34/2.48 spl52_114 | ~spl52_46 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1277,f1229,f781,f1279])). 14.34/2.48 tff(f781,plain,( 14.34/2.48 spl52_46 <=> app_proj_31(sK6) = sF47), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_46])])). 14.34/2.48 tff(f1277,plain,( 14.34/2.48 sK7 = sF47 | (~spl52_46 | ~spl52_107)), 14.34/2.48 inference(forward_demodulation,[],[f1240,f783])). 14.34/2.48 tff(f783,plain,( 14.34/2.48 app_proj_31(sK6) = sF47 | ~spl52_46), 14.34/2.48 inference(avatar_component_clause,[],[f781])). 14.34/2.48 tff(f1240,plain,( 14.34/2.48 app_proj_31(sK6) = sK7 | ~spl52_107), 14.34/2.48 inference(superposition,[],[f400,f1231])). 14.34/2.48 tff(f400,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : $int,X1 : rope1] : (app_proj_31(app3(X2,X1,X0)) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f303])). 14.34/2.48 tff(f303,plain,( 14.34/2.48 ! [X0 : $int,X1 : rope1,X2 : rope1] : app_proj_31(app3(X2,X1,X0)) = X0), 14.34/2.48 inference(rectify,[],[f158])). 14.34/2.48 tff(f158,plain,( 14.34/2.48 ! [X1 : $int,X2 : rope1,X0 : rope1] : app_proj_31(app3(X0,X2,X1)) = X1), 14.34/2.48 inference(rectify,[],[f59])). 14.34/2.48 tff(f59,axiom,( 14.34/2.48 ! [X0 : rope1,X2 : $int,X1 : rope1] : app_proj_31(app3(X0,X1,X2)) = X2), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1276,plain,( 14.34/2.48 spl52_113 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1233,f1229,f1273])). 14.34/2.48 tff(f1233,plain,( 14.34/2.48 sK7 = length4(sK6) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f352,f1231])). 14.34/2.48 tff(f1271,plain,( 14.34/2.48 spl52_112 | ~spl52_52 | ~spl52_84 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1266,f1229,f1036,f811,f1268])). 14.34/2.48 tff(f1266,plain,( 14.34/2.48 sK7 = $sum(length3(sF35),length4(sK9)) | (~spl52_52 | ~spl52_84 | ~spl52_107)), 14.34/2.48 inference(forward_demodulation,[],[f1265,f1038])). 14.34/2.48 tff(f1265,plain,( 14.34/2.48 sK7 = $sum(length4(sK8),length4(sK9)) | (~spl52_52 | ~spl52_107)), 14.34/2.48 inference(subsumption_resolution,[],[f1235,f813])). 14.34/2.48 tff(f1235,plain,( 14.34/2.48 sK7 = $sum(length4(sK8),length4(sK9)) | ~inv1(sK6) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f383,f1231])). 14.34/2.48 tff(f1264,plain,( 14.34/2.48 spl52_111 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1241,f1229,f1261])). 14.34/2.48 tff(f1261,plain,( 14.34/2.48 spl52_111 <=> sK9 = app_proj_21(sK6)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_111])])). 14.34/2.48 tff(f1241,plain,( 14.34/2.48 sK9 = app_proj_21(sK6) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f458,f1231])). 14.34/2.48 tff(f458,plain,( 14.34/2.48 ( ! [X2 : rope1,X0 : rope1,X1 : $int] : (app_proj_21(app3(X2,X0,X1)) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f332])). 14.34/2.48 tff(f332,plain,( 14.34/2.48 ! [X0 : rope1,X1 : $int,X2 : rope1] : app_proj_21(app3(X2,X0,X1)) = X0), 14.34/2.48 inference(rectify,[],[f159])). 14.34/2.48 tff(f159,plain,( 14.34/2.48 ! [X1 : rope1,X0 : $int,X2 : rope1] : app_proj_21(app3(X2,X1,X0)) = X1), 14.34/2.48 inference(rectify,[],[f77])). 14.34/2.48 tff(f77,axiom,( 14.34/2.48 ! [X2 : $int,X1 : rope1,X0 : rope1] : app_proj_21(app3(X0,X1,X2)) = X1), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f1259,plain,( 14.34/2.48 spl52_110 | ~spl52_52 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1254,f1229,f811,f1256])). 14.34/2.48 tff(f1254,plain,( 14.34/2.48 $less(0,length4(sK9)) | (~spl52_52 | ~spl52_107)), 14.34/2.48 inference(subsumption_resolution,[],[f1237,f813])). 14.34/2.48 tff(f1237,plain,( 14.34/2.48 ~inv1(sK6) | $less(0,length4(sK9)) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f385,f1231])). 14.34/2.48 tff(f1253,plain,( 14.34/2.48 spl52_109 | ~spl52_52 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1248,f1229,f811,f1250])). 14.34/2.48 tff(f1248,plain,( 14.34/2.48 inv1(sK9) | (~spl52_52 | ~spl52_107)), 14.34/2.48 inference(subsumption_resolution,[],[f1238,f813])). 14.34/2.48 tff(f1238,plain,( 14.34/2.48 ~inv1(sK6) | inv1(sK9) | ~spl52_107), 14.34/2.48 inference(superposition,[],[f386,f1231])). 14.34/2.48 tff(f1247,plain,( 14.34/2.48 ~spl52_108 | ~spl52_107), 14.34/2.48 inference(avatar_split_clause,[],[f1234,f1229,f1244])). 14.34/2.48 tff(f1244,plain,( 14.34/2.48 spl52_108 <=> emp1 = sK6), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_108])])). 14.34/2.48 tff(f1234,plain,( 14.34/2.48 emp1 != sK6 | ~spl52_107), 14.34/2.48 inference(superposition,[],[f367,f1231])). 14.34/2.48 tff(f1232,plain,( 14.34/2.48 spl52_107 | ~spl52_13 | ~spl52_54), 14.34/2.48 inference(avatar_split_clause,[],[f1227,f821,f616,f1229])). 14.34/2.48 tff(f616,plain,( 14.34/2.48 spl52_13 <=> app3(sK8,sK9,sK7) = sF11), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_13])])). 14.34/2.48 tff(f821,plain,( 14.34/2.48 spl52_54 <=> sK6 = sF11), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_54])])). 14.34/2.48 tff(f1227,plain,( 14.34/2.48 sK6 = app3(sK8,sK9,sK7) | (~spl52_13 | ~spl52_54)), 14.34/2.48 inference(forward_demodulation,[],[f618,f823])). 14.34/2.48 tff(f823,plain,( 14.34/2.48 sK6 = sF11 | ~spl52_54), 14.34/2.48 inference(avatar_component_clause,[],[f821])). 14.34/2.48 tff(f618,plain,( 14.34/2.48 app3(sK8,sK9,sK7) = sF11 | ~spl52_13), 14.34/2.48 inference(avatar_component_clause,[],[f616])). 14.34/2.48 tff(f1207,plain,( 14.34/2.48 spl52_106 | ~spl52_105), 14.34/2.48 inference(avatar_split_clause,[],[f1202,f1198,f1204])). 14.34/2.48 tff(f1204,plain,( 14.34/2.48 spl52_106 <=> sF13 = mk_array1(rope,sF16,elts(rope,sF13))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_106])])). 14.34/2.48 tff(f1202,plain,( 14.34/2.48 sF13 = mk_array1(rope,sF16,elts(rope,sF13)) | ~spl52_105), 14.34/2.48 inference(superposition,[],[f406,f1200])). 14.34/2.48 tff(f1201,plain,( 14.34/2.48 spl52_105 | ~spl52_50 | ~spl52_77), 14.34/2.48 inference(avatar_split_clause,[],[f1196,f974,f801,f1198])). 14.34/2.48 tff(f801,plain,( 14.34/2.48 spl52_50 <=> length5(rope,sF15) = sF16), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_50])])). 14.34/2.48 tff(f1196,plain,( 14.34/2.48 sF16 = length5(rope,sF13) | (~spl52_50 | ~spl52_77)), 14.34/2.48 inference(forward_demodulation,[],[f803,f976])). 14.34/2.48 tff(f803,plain,( 14.34/2.48 length5(rope,sF15) = sF16 | ~spl52_50), 14.34/2.48 inference(avatar_component_clause,[],[f801])). 14.34/2.48 tff(f1193,plain,( 14.34/2.48 spl52_104 | ~spl52_68 | ~spl52_103), 14.34/2.48 inference(avatar_split_clause,[],[f1186,f1181,f910,f1190])). 14.34/2.48 tff(f1190,plain,( 14.34/2.48 spl52_104 <=> sF28 = fib1(3)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_104])])). 14.34/2.48 tff(f910,plain,( 14.34/2.48 spl52_68 <=> sF28 = fib1(sK4)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_68])])). 14.34/2.48 tff(f1186,plain,( 14.34/2.48 sF28 = fib1(3) | (~spl52_68 | ~spl52_103)), 14.34/2.48 inference(superposition,[],[f912,f1183])). 14.34/2.48 tff(f912,plain,( 14.34/2.48 sF28 = fib1(sK4) | ~spl52_68), 14.34/2.48 inference(avatar_component_clause,[],[f910])). 14.34/2.48 tff(f1184,plain,( 14.34/2.48 spl52_103 | ~spl52_16 | ~spl52_40 | ~spl52_94), 14.34/2.48 inference(avatar_split_clause,[],[f1179,f1097,f751,f631,f1181])). 14.34/2.48 tff(f1179,plain,( 14.34/2.48 sK4 = 3 | (~spl52_16 | ~spl52_40 | ~spl52_94)), 14.34/2.48 inference(evaluation,[],[f1178])). 14.34/2.48 tff(f1178,plain,( 14.34/2.48 sK4 = $sum(2,1) | (~spl52_16 | ~spl52_40 | ~spl52_94)), 14.34/2.48 inference(forward_demodulation,[],[f1177,f1099])). 14.34/2.48 tff(f1176,plain,( 14.34/2.48 spl52_102 | ~spl52_101), 14.34/2.48 inference(avatar_split_clause,[],[f1171,f1167,f1173])). 14.34/2.48 tff(f1173,plain,( 14.34/2.48 spl52_102 <=> sF30 = mk_array1(rope,sF33,elts(rope,sF30))), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_102])])). 14.34/2.48 tff(f1171,plain,( 14.34/2.48 sF30 = mk_array1(rope,sF33,elts(rope,sF30)) | ~spl52_101), 14.34/2.48 inference(superposition,[],[f406,f1169])). 14.34/2.48 tff(f1170,plain,( 14.34/2.48 spl52_101 | ~spl52_38 | ~spl52_64), 14.34/2.48 inference(avatar_split_clause,[],[f1165,f882,f741,f1167])). 14.34/2.48 tff(f741,plain,( 14.34/2.48 spl52_38 <=> length5(rope,sF32) = sF33), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_38])])). 14.34/2.48 tff(f882,plain,( 14.34/2.48 spl52_64 <=> sF30 = sF32), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_64])])). 14.34/2.48 tff(f1165,plain,( 14.34/2.48 sF33 = length5(rope,sF30) | (~spl52_38 | ~spl52_64)), 14.34/2.48 inference(forward_demodulation,[],[f743,f884])). 14.34/2.48 tff(f884,plain,( 14.34/2.48 sF30 = sF32 | ~spl52_64), 14.34/2.48 inference(avatar_component_clause,[],[f882])). 14.34/2.48 tff(f743,plain,( 14.34/2.48 length5(rope,sF32) = sF33 | ~spl52_38), 14.34/2.48 inference(avatar_component_clause,[],[f741])). 14.34/2.48 tff(f1157,plain,( 14.34/2.48 spl52_100 | ~spl52_6 | ~spl52_73), 14.34/2.48 inference(avatar_split_clause,[],[f1152,f942,f581,f1154])). 14.34/2.48 tff(f581,plain,( 14.34/2.48 spl52_6 <=> app2(sF17,sF35) = sF36), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_6])])). 14.34/2.48 tff(f1152,plain,( 14.34/2.48 sF34 = app2(sF17,sF35) | (~spl52_6 | ~spl52_73)), 14.34/2.48 inference(forward_demodulation,[],[f583,f944])). 14.34/2.48 tff(f583,plain,( 14.34/2.48 app2(sF17,sF35) = sF36 | ~spl52_6), 14.34/2.48 inference(avatar_component_clause,[],[f581])). 14.34/2.48 tff(f1135,plain,( 14.34/2.48 spl52_98 | spl52_99 | spl52_97), 14.34/2.48 inference(avatar_split_clause,[],[f1126,f1122,f1132,f1128])). 14.34/2.48 tff(f1132,plain,( 14.34/2.48 spl52_99 <=> 0 = length4(sK6)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_99])])). 14.34/2.48 tff(f1126,plain,( 14.34/2.48 0 = length4(sK6) | $less(0,length4(sK6)) | spl52_97), 14.34/2.48 inference(resolution,[],[f1124,f129])). 14.34/2.48 tff(f1125,plain,( 14.34/2.48 ~spl52_97 | ~spl52_83), 14.34/2.48 inference(avatar_split_clause,[],[f1120,f1028,f1122])). 14.34/2.48 tff(f1120,plain,( 14.34/2.48 ~$less(length4(sK6),0) | ~spl52_83), 14.34/2.48 inference(superposition,[],[f405,f1030])). 14.34/2.48 tff(f1110,plain,( 14.34/2.48 spl52_96 | ~spl52_58), 14.34/2.48 inference(avatar_split_clause,[],[f1105,f841,f1107])). 14.34/2.48 tff(f1107,plain,( 14.34/2.48 spl52_96 <=> sF49 = t2tb(sF50)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_96])])). 14.34/2.48 tff(f1105,plain,( 14.34/2.48 sF49 = t2tb(sF50) | ~spl52_58), 14.34/2.48 inference(superposition,[],[f398,f843])). 14.34/2.48 tff(f1104,plain,( 14.34/2.48 spl52_94 | spl52_95 | spl52_23), 14.34/2.48 inference(avatar_split_clause,[],[f1054,f666,f1101,f1097])). 14.34/2.48 tff(f1054,plain,( 14.34/2.48 2 = max3 | $less(2,max3) | spl52_23), 14.34/2.48 inference(resolution,[],[f129,f668])). 14.34/2.48 tff(f1095,plain,( 14.34/2.48 spl52_92 | spl52_93 | spl52_26), 14.34/2.48 inference(avatar_split_clause,[],[f1055,f681,f1092,f1088])). 14.34/2.48 tff(f1092,plain,( 14.34/2.48 spl52_93 <=> 0 = sK4), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_93])])). 14.34/2.48 tff(f1055,plain,( 14.34/2.48 0 = sK4 | $less(0,sK4) | spl52_26), 14.34/2.48 inference(resolution,[],[f129,f683])). 14.34/2.48 tff(f1086,plain,( 14.34/2.48 spl52_90 | spl52_91 | spl52_67), 14.34/2.48 inference(avatar_split_clause,[],[f1056,f904,f1083,f1079])). 14.34/2.48 tff(f1056,plain,( 14.34/2.48 $less(0,sF18) | 0 = sF18 | spl52_67), 14.34/2.48 inference(resolution,[],[f129,f906])). 14.34/2.48 tff(f1077,plain,( 14.34/2.48 spl52_88 | spl52_89 | spl52_59), 14.34/2.48 inference(avatar_split_clause,[],[f1058,f846,f1074,f1070])). 14.34/2.48 tff(f1058,plain,( 14.34/2.48 $less(sF28,sF44) | sF28 = sF44 | spl52_59), 14.34/2.48 inference(resolution,[],[f129,f848])). 14.34/2.48 tff(f1068,plain,( 14.34/2.48 spl52_86 | spl52_87 | spl52_65), 14.34/2.48 inference(avatar_split_clause,[],[f1057,f890,f1065,f1061])). 14.34/2.48 tff(f1057,plain,( 14.34/2.48 0 = sF37 | $less(0,sF37) | spl52_65), 14.34/2.48 inference(resolution,[],[f129,f892])). 14.34/2.48 tff(f1046,plain,( 14.34/2.48 spl52_85 | ~spl52_57), 14.34/2.48 inference(avatar_split_clause,[],[f1040,f836,f1043])). 14.34/2.48 tff(f836,plain,( 14.34/2.48 spl52_57 <=> t2tb(sF47) = sF48), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_57])])). 14.34/2.48 tff(f1040,plain,( 14.34/2.48 sF47 = tb2t(sF48) | ~spl52_57), 14.34/2.48 inference(superposition,[],[f350,f838])). 14.34/2.48 tff(f838,plain,( 14.34/2.48 t2tb(sF47) = sF48 | ~spl52_57), 14.34/2.48 inference(avatar_component_clause,[],[f836])). 14.34/2.48 tff(f1039,plain,( 14.34/2.48 spl52_84 | ~spl52_28 | ~spl52_43), 14.34/2.48 inference(avatar_split_clause,[],[f1034,f766,f691,f1036])). 14.34/2.48 tff(f1034,plain,( 14.34/2.48 length4(sK8) = length3(sF35) | (~spl52_28 | ~spl52_43)), 14.34/2.48 inference(forward_demodulation,[],[f1024,f693])). 14.34/2.48 tff(f1024,plain,( 14.34/2.48 length3(string3(sK8)) = length4(sK8) | ~spl52_43), 14.34/2.48 inference(resolution,[],[f455,f768])). 14.34/2.48 tff(f1031,plain,( 14.34/2.48 spl52_83 | ~spl52_52), 14.34/2.48 inference(avatar_split_clause,[],[f1025,f811,f1028])). 14.34/2.48 tff(f1025,plain,( 14.34/2.48 length3(string3(sK6)) = length4(sK6) | ~spl52_52), 14.34/2.48 inference(resolution,[],[f455,f813])). 14.34/2.48 tff(f1020,plain,( 14.34/2.48 spl52_82 | ~spl52_55), 14.34/2.48 inference(avatar_split_clause,[],[f1014,f826,f1017])). 14.34/2.48 tff(f826,plain,( 14.34/2.48 spl52_55 <=> t2tb(sF40) = sF41), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_55])])). 14.34/2.48 tff(f1014,plain,( 14.34/2.48 sF40 = tb2t(sF41) | ~spl52_55), 14.34/2.48 inference(superposition,[],[f350,f828])). 14.34/2.48 tff(f828,plain,( 14.34/2.48 t2tb(sF40) = sF41 | ~spl52_55), 14.34/2.48 inference(avatar_component_clause,[],[f826])). 14.34/2.48 tff(f1013,plain,( 14.34/2.48 spl52_81 | ~spl52_51), 14.34/2.48 inference(avatar_split_clause,[],[f1007,f806,f1010])). 14.34/2.48 tff(f1010,plain,( 14.34/2.48 spl52_81 <=> 0 = tb2t(sF19)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_81])])). 14.34/2.48 tff(f1007,plain,( 14.34/2.48 0 = tb2t(sF19) | ~spl52_51), 14.34/2.48 inference(superposition,[],[f350,f808])). 14.34/2.48 tff(f1001,plain,( 14.34/2.48 spl52_80 | ~spl52_45), 14.34/2.48 inference(avatar_split_clause,[],[f995,f776,f998])). 14.34/2.48 tff(f998,plain,( 14.34/2.48 spl52_80 <=> sF45 = tb2t(sF46)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_80])])). 14.34/2.48 tff(f776,plain,( 14.34/2.48 spl52_45 <=> t2tb(sF45) = sF46), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_45])])). 14.34/2.48 tff(f995,plain,( 14.34/2.48 sF45 = tb2t(sF46) | ~spl52_45), 14.34/2.48 inference(superposition,[],[f350,f778])). 14.34/2.48 tff(f778,plain,( 14.34/2.48 t2tb(sF45) = sF46 | ~spl52_45), 14.34/2.48 inference(avatar_component_clause,[],[f776])). 14.34/2.48 tff(f993,plain,( 14.34/2.48 spl52_79 | ~spl52_35), 14.34/2.48 inference(avatar_split_clause,[],[f987,f726,f990])). 14.34/2.48 tff(f987,plain,( 14.34/2.48 sF20 = tb2t(sF21) | ~spl52_35), 14.34/2.48 inference(superposition,[],[f350,f728])). 14.34/2.48 tff(f984,plain,( 14.34/2.48 spl52_78 | ~spl52_32), 14.34/2.48 inference(avatar_split_clause,[],[f978,f711,f981])). 14.34/2.48 tff(f981,plain,( 14.34/2.48 spl52_78 <=> sF22 = tb2t(sF23)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_78])])). 14.34/2.48 tff(f978,plain,( 14.34/2.48 sF22 = tb2t(sF23) | ~spl52_32), 14.34/2.48 inference(superposition,[],[f350,f713])). 14.34/2.48 tff(f977,plain,( 14.34/2.48 spl52_77 | ~spl52_30 | ~spl52_75), 14.34/2.48 inference(avatar_split_clause,[],[f969,f955,f701,f974])). 14.34/2.48 tff(f969,plain,( 14.34/2.48 sF13 = sF15 | (~spl52_30 | ~spl52_75)), 14.34/2.48 inference(superposition,[],[f957,f703])). 14.34/2.48 tff(f965,plain,( 14.34/2.48 spl52_76 | ~spl52_30), 14.34/2.48 inference(avatar_split_clause,[],[f959,f701,f962])). 14.34/2.48 tff(f962,plain,( 14.34/2.48 spl52_76 <=> sF14 = tb2t1(sF15)), 14.34/2.48 introduced(avatar_definition,[new_symbols(naming,[spl52_76])])). 14.34/2.48 tff(f959,plain,( 14.34/2.48 sF14 = tb2t1(sF15) | ~spl52_30), 14.34/2.48 inference(superposition,[],[f469,f703])). 14.34/2.48 tff(f469,plain,( 14.34/2.48 ( ! [X0 : array_rope] : (tb2t1(t2tb1(X0)) = X0) )), 14.34/2.48 inference(cnf_transformation,[],[f199])). 14.34/2.48 tff(f199,plain,( 14.34/2.48 ! [X0 : array_rope] : tb2t1(t2tb1(X0)) = X0), 14.34/2.48 inference(rectify,[],[f42])). 14.34/2.48 tff(f42,axiom,( 14.34/2.48 ! [X20 : array_rope] : tb2t1(t2tb1(X20)) = X20), 14.34/2.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.48 tff(f958,plain,( 14.34/2.48 spl52_75 | ~spl52_25), 14.34/2.48 inference(avatar_split_clause,[],[f953,f676,f955])). 14.34/2.48 tff(f676,plain,( 14.34/2.49 spl52_25 <=> tb2t1(sF13) = sF14), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_25])])). 14.34/2.49 tff(f953,plain,( 14.34/2.49 sF13 = t2tb1(sF14) | ~spl52_25), 14.34/2.49 inference(superposition,[],[f347,f678])). 14.34/2.49 tff(f678,plain,( 14.34/2.49 tb2t1(sF13) = sF14 | ~spl52_25), 14.34/2.49 inference(avatar_component_clause,[],[f676])). 14.34/2.49 tff(f951,plain,( 14.34/2.49 spl52_74 | ~spl52_19 | ~spl52_73), 14.34/2.49 inference(avatar_split_clause,[],[f946,f942,f646,f948])). 14.34/2.49 tff(f946,plain,( 14.34/2.49 infix_eqeq1(sF34,sF34) | (~spl52_19 | ~spl52_73)), 14.34/2.49 inference(superposition,[],[f648,f944])). 14.34/2.49 tff(f945,plain,( 14.34/2.49 spl52_73 | ~spl52_19), 14.34/2.49 inference(avatar_split_clause,[],[f940,f646,f942])). 14.34/2.49 tff(f940,plain,( 14.34/2.49 sF34 = sF36 | ~spl52_19), 14.34/2.49 inference(resolution,[],[f359,f648])). 14.34/2.49 tff(f938,plain,( 14.34/2.49 spl52_72 | ~spl52_24), 14.34/2.49 inference(avatar_split_clause,[],[f933,f671,f935])). 14.34/2.49 tff(f933,plain,( 14.34/2.49 sF42 = t2tb(sF43) | ~spl52_24), 14.34/2.49 inference(superposition,[],[f398,f673])). 14.34/2.49 tff(f932,plain,( 14.34/2.49 spl52_71 | ~spl52_21), 14.34/2.49 inference(avatar_split_clause,[],[f922,f656,f929])). 14.34/2.49 tff(f929,plain,( 14.34/2.49 spl52_71 <=> sK10 = tb2t3(sF29)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_71])])). 14.34/2.49 tff(f656,plain,( 14.34/2.49 spl52_21 <=> t2tb3(sK10) = sF29), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_21])])). 14.34/2.49 tff(f922,plain,( 14.34/2.49 sK10 = tb2t3(sF29) | ~spl52_21), 14.34/2.49 inference(superposition,[],[f463,f658])). 14.34/2.49 tff(f658,plain,( 14.34/2.49 t2tb3(sK10) = sF29 | ~spl52_21), 14.34/2.49 inference(avatar_component_clause,[],[f656])). 14.34/2.49 tff(f463,plain,( 14.34/2.49 ( ! [X0 : map_int_rope] : (tb2t3(t2tb3(X0)) = X0) )), 14.34/2.49 inference(cnf_transformation,[],[f182])). 14.34/2.49 tff(f182,plain,( 14.34/2.49 ! [X0 : map_int_rope] : tb2t3(t2tb3(X0)) = X0), 14.34/2.49 inference(rectify,[],[f30])). 14.34/2.49 tff(f30,axiom,( 14.34/2.49 ! [X20 : map_int_rope] : tb2t3(t2tb3(X20)) = X20), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f927,plain,( 14.34/2.49 spl52_70 | ~spl52_21), 14.34/2.49 inference(avatar_split_clause,[],[f921,f656,f924])). 14.34/2.49 tff(f924,plain,( 14.34/2.49 spl52_70 <=> sort1(map(int,rope),sF29)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_70])])). 14.34/2.49 tff(f921,plain,( 14.34/2.49 sort1(map(int,rope),sF29) | ~spl52_21), 14.34/2.49 inference(superposition,[],[f348,f658])). 14.34/2.49 tff(f920,plain,( 14.34/2.49 spl52_69 | ~spl52_20), 14.34/2.49 inference(avatar_split_clause,[],[f914,f651,f917])). 14.34/2.49 tff(f914,plain,( 14.34/2.49 sF38 = tb2t(sF39) | ~spl52_20), 14.34/2.49 inference(superposition,[],[f350,f653])). 14.34/2.49 tff(f913,plain,( 14.34/2.49 spl52_68 | ~spl52_15 | ~spl52_16), 14.34/2.49 inference(avatar_split_clause,[],[f908,f631,f626,f910])). 14.34/2.49 tff(f626,plain,( 14.34/2.49 spl52_15 <=> fib1(sF27) = sF28), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_15])])). 14.34/2.49 tff(f908,plain,( 14.34/2.49 sF28 = fib1(sK4) | (~spl52_15 | ~spl52_16)), 14.34/2.49 inference(forward_demodulation,[],[f628,f633])). 14.34/2.49 tff(f628,plain,( 14.34/2.49 fib1(sF27) = sF28 | ~spl52_15), 14.34/2.49 inference(avatar_component_clause,[],[f626])). 14.34/2.49 tff(f907,plain,( 14.34/2.49 ~spl52_67 | ~spl52_10), 14.34/2.49 inference(avatar_split_clause,[],[f902,f601,f904])). 14.34/2.49 tff(f902,plain,( 14.34/2.49 ~$less(sF18,0) | ~spl52_10), 14.34/2.49 inference(superposition,[],[f405,f603])). 14.34/2.49 tff(f901,plain,( 14.34/2.49 spl52_66 | ~spl52_5), 14.34/2.49 inference(avatar_split_clause,[],[f896,f576,f898])). 14.34/2.49 tff(f898,plain,( 14.34/2.49 spl52_66 <=> sort1(map(int,rope),sF12)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_66])])). 14.34/2.49 tff(f576,plain,( 14.34/2.49 spl52_5 <=> t2tb3(sK5) = sF12), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_5])])). 14.34/2.49 tff(f896,plain,( 14.34/2.49 sort1(map(int,rope),sF12) | ~spl52_5), 14.34/2.49 inference(superposition,[],[f348,f578])). 14.34/2.49 tff(f578,plain,( 14.34/2.49 t2tb3(sK5) = sF12 | ~spl52_5), 14.34/2.49 inference(avatar_component_clause,[],[f576])). 14.34/2.49 tff(f893,plain,( 14.34/2.49 ~spl52_65 | ~spl52_8), 14.34/2.49 inference(avatar_split_clause,[],[f888,f591,f890])). 14.34/2.49 tff(f888,plain,( 14.34/2.49 ~$less(sF37,0) | ~spl52_8), 14.34/2.49 inference(superposition,[],[f405,f593])). 14.34/2.49 tff(f885,plain,( 14.34/2.49 spl52_64 | ~spl52_7 | ~spl52_60), 14.34/2.49 inference(avatar_split_clause,[],[f880,f854,f586,f882])). 14.34/2.49 tff(f586,plain,( 14.34/2.49 spl52_7 <=> t2tb1(sF31) = sF32), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_7])])). 14.34/2.49 tff(f880,plain,( 14.34/2.49 sF30 = sF32 | (~spl52_7 | ~spl52_60)), 14.34/2.49 inference(forward_demodulation,[],[f588,f856])). 14.34/2.49 tff(f588,plain,( 14.34/2.49 t2tb1(sF31) = sF32 | ~spl52_7), 14.34/2.49 inference(avatar_component_clause,[],[f586])). 14.34/2.49 tff(f878,plain,( 14.34/2.49 spl52_63 | ~spl52_5), 14.34/2.49 inference(avatar_split_clause,[],[f873,f576,f875])). 14.34/2.49 tff(f875,plain,( 14.34/2.49 spl52_63 <=> sK5 = tb2t3(sF12)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_63])])). 14.34/2.49 tff(f873,plain,( 14.34/2.49 sK5 = tb2t3(sF12) | ~spl52_5), 14.34/2.49 inference(superposition,[],[f463,f578])). 14.34/2.49 tff(f871,plain,( 14.34/2.49 spl52_62 | ~spl52_4), 14.34/2.49 inference(avatar_split_clause,[],[f865,f571,f868])). 14.34/2.49 tff(f868,plain,( 14.34/2.49 spl52_62 <=> sF24 = t2tb(sF25)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_62])])). 14.34/2.49 tff(f865,plain,( 14.34/2.49 sF24 = t2tb(sF25) | ~spl52_4), 14.34/2.49 inference(superposition,[],[f398,f573])). 14.34/2.49 tff(f864,plain,( 14.34/2.49 spl52_61 | ~spl52_60), 14.34/2.49 inference(avatar_split_clause,[],[f859,f854,f861])). 14.34/2.49 tff(f861,plain,( 14.34/2.49 spl52_61 <=> sort1(array(rope),sF30)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_61])])). 14.34/2.49 tff(f859,plain,( 14.34/2.49 sort1(array(rope),sF30) | ~spl52_60), 14.34/2.49 inference(superposition,[],[f375,f856])). 14.34/2.49 tff(f375,plain,( 14.34/2.49 ( ! [X0 : array_rope] : (sort1(array(rope),t2tb1(X0))) )), 14.34/2.49 inference(cnf_transformation,[],[f143])). 14.34/2.49 tff(f143,plain,( 14.34/2.49 ! [X0 : array_rope] : sort1(array(rope),t2tb1(X0))), 14.34/2.49 inference(rectify,[],[f80])). 14.34/2.49 tff(f80,axiom,( 14.34/2.49 ! [X8 : array_rope] : sort1(array(rope),t2tb1(X8))), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f857,plain,( 14.34/2.49 spl52_60 | ~spl52_1), 14.34/2.49 inference(avatar_split_clause,[],[f852,f556,f854])). 14.34/2.49 tff(f852,plain,( 14.34/2.49 sF30 = t2tb1(sF31) | ~spl52_1), 14.34/2.49 inference(superposition,[],[f347,f558])). 14.34/2.49 tff(f849,plain,( 14.34/2.49 ~spl52_59), 14.34/2.49 inference(avatar_split_clause,[],[f542,f846])). 14.34/2.49 tff(f542,plain,( 14.34/2.49 ~$less(sF44,sF28)), 14.34/2.49 inference(definition_folding,[],[f494,f520,f519,f541,f540,f539,f538,f537,f536,f535,f511,f534,f529,f528,f527,f526,f525,f524,f526,f525,f524])). 14.34/2.49 tff(f525,plain,( 14.34/2.49 mk_array1(rope,sK4,sF29) = sF30), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF30])])). 14.34/2.49 tff(f526,plain,( 14.34/2.49 tb2t1(sF30) = sF31), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF31])])). 14.34/2.49 tff(f527,plain,( 14.34/2.49 t2tb1(sF31) = sF32), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF32])])). 14.34/2.49 tff(f528,plain,( 14.34/2.49 length5(rope,sF32) = sF33), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF33])])). 14.34/2.49 tff(f529,plain,( 14.34/2.49 string_of_array1(sF31,2,sF33) = sF34), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF34])])). 14.34/2.49 tff(f534,plain,( 14.34/2.49 length3(sF34) = sF37), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF37])])). 14.34/2.49 tff(f511,plain,( 14.34/2.49 t2tb(0) = sF19), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF19])])). 14.34/2.49 tff(f535,plain,( 14.34/2.49 str_proj_31(sK9) = sF38), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF38])])). 14.34/2.49 tff(f536,plain,( 14.34/2.49 t2tb(sF38) = sF39), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF39])])). 14.34/2.49 tff(f537,plain,( 14.34/2.49 app_proj_31(sK9) = sF40), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF40])])). 14.34/2.49 tff(f538,plain,( 14.34/2.49 t2tb(sF40) = sF41), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF41])])). 14.34/2.49 tff(f539,plain,( 14.34/2.49 match_rope1(int,sK9,sF19,sF39,sF41) = sF42), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF42])])). 14.34/2.49 tff(f540,plain,( 14.34/2.49 tb2t(sF42) = sF43), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF43])])). 14.34/2.49 tff(f541,plain,( 14.34/2.49 $sum(sF37,sF43) = sF44), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF44])])). 14.34/2.49 tff(f519,plain,( 14.34/2.49 $sum(max3,1) = sF27), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF27])])). 14.34/2.49 tff(f520,plain,( 14.34/2.49 fib1(sF27) = sF28), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF28])])). 14.34/2.49 tff(f494,plain,( 14.34/2.49 ~$less($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10))))))),tb2t(match_rope1(int,sK9,t2tb(0),t2tb(str_proj_31(sK9)),t2tb(app_proj_31(sK9))))),fib1($sum(max3,1)))), 14.34/2.49 inference(definition_unfolding,[],[f443,f391])). 14.34/2.49 tff(f391,plain,( 14.34/2.49 ( ! [X0 : array_rope] : (string_of_queue1(X0) = string_of_array1(X0,2,length5(rope,t2tb1(X0)))) )), 14.34/2.49 inference(cnf_transformation,[],[f206])). 14.34/2.49 tff(f206,plain,( 14.34/2.49 ! [X0 : array_rope] : string_of_queue1(X0) = string_of_array1(X0,2,length5(rope,t2tb1(X0)))), 14.34/2.49 inference(rectify,[],[f2])). 14.34/2.49 tff(f2,axiom,( 14.34/2.49 ! [X3 : array_rope] : string_of_queue1(X3) = string_of_array1(X3,2,length5(rope,t2tb1(X3)))), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f443,plain,( 14.34/2.49 ~$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10))))),tb2t(match_rope1(int,sK9,t2tb(0),t2tb(str_proj_31(sK9)),t2tb(app_proj_31(sK9))))),fib1($sum(max3,1)))), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f844,plain,( 14.34/2.49 spl52_58), 14.34/2.49 inference(avatar_split_clause,[],[f549,f841])). 14.34/2.49 tff(f549,plain,( 14.34/2.49 tb2t(sF49) = sF50), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF50])])). 14.34/2.49 tff(f839,plain,( 14.34/2.49 spl52_57), 14.34/2.49 inference(avatar_split_clause,[],[f547,f836])). 14.34/2.49 tff(f547,plain,( 14.34/2.49 t2tb(sF47) = sF48), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF48])])). 14.34/2.49 tff(f834,plain,( 14.34/2.49 spl52_56), 14.34/2.49 inference(avatar_split_clause,[],[f512,f831])). 14.34/2.49 tff(f512,plain,( 14.34/2.49 str_proj_31(sK8) = sF20), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF20])])). 14.34/2.49 tff(f829,plain,( 14.34/2.49 spl52_55), 14.34/2.49 inference(avatar_split_clause,[],[f538,f826])). 14.34/2.49 tff(f824,plain,( 14.34/2.49 spl52_54), 14.34/2.49 inference(avatar_split_clause,[],[f503,f821])). 14.34/2.49 tff(f503,plain,( 14.34/2.49 sK6 = sF11), 14.34/2.49 inference(definition_folding,[],[f450,f502])). 14.34/2.49 tff(f502,plain,( 14.34/2.49 app3(sK8,sK9,sK7) = sF11), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF11])])). 14.34/2.49 tff(f450,plain,( 14.34/2.49 sK6 = app3(sK8,sK9,sK7)), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f819,plain,( 14.34/2.49 spl52_53), 14.34/2.49 inference(avatar_split_clause,[],[f368,f816])). 14.34/2.49 tff(f368,plain,( 14.34/2.49 1 = fib1(1)), 14.34/2.49 inference(cnf_transformation,[],[f86])). 14.34/2.49 tff(f86,axiom,( 14.34/2.49 1 = fib1(1)), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f814,plain,( 14.34/2.49 spl52_52), 14.34/2.49 inference(avatar_split_clause,[],[f436,f811])). 14.34/2.49 tff(f436,plain,( 14.34/2.49 inv1(sK6)), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f809,plain,( 14.34/2.49 spl52_51), 14.34/2.49 inference(avatar_split_clause,[],[f511,f806])). 14.34/2.49 tff(f804,plain,( 14.34/2.49 spl52_50), 14.34/2.49 inference(avatar_split_clause,[],[f508,f801])). 14.34/2.49 tff(f508,plain,( 14.34/2.49 length5(rope,sF15) = sF16), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF16])])). 14.34/2.49 tff(f799,plain,( 14.34/2.49 spl52_49), 14.34/2.49 inference(avatar_split_clause,[],[f544,f796])). 14.34/2.49 tff(f796,plain,( 14.34/2.49 spl52_49 <=> str_proj_31(sK6) = sF45), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_49])])). 14.34/2.49 tff(f544,plain,( 14.34/2.49 str_proj_31(sK6) = sF45), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF45])])). 14.34/2.49 tff(f794,plain,( 14.34/2.49 spl52_48), 14.34/2.49 inference(avatar_split_clause,[],[f541,f791])). 14.34/2.49 tff(f789,plain,( 14.34/2.49 spl52_47), 14.34/2.49 inference(avatar_split_clause,[],[f353,f786])). 14.34/2.49 tff(f353,plain,( 14.34/2.49 0 = length4(emp1)), 14.34/2.49 inference(cnf_transformation,[],[f277])). 14.34/2.49 tff(f784,plain,( 14.34/2.49 spl52_46), 14.34/2.49 inference(avatar_split_clause,[],[f546,f781])). 14.34/2.49 tff(f546,plain,( 14.34/2.49 app_proj_31(sK6) = sF47), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF47])])). 14.34/2.49 tff(f779,plain,( 14.34/2.49 spl52_45), 14.34/2.49 inference(avatar_split_clause,[],[f545,f776])). 14.34/2.49 tff(f545,plain,( 14.34/2.49 t2tb(sF45) = sF46), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF46])])). 14.34/2.49 tff(f774,plain,( 14.34/2.49 spl52_44), 14.34/2.49 inference(avatar_split_clause,[],[f479,f771])). 14.34/2.49 tff(f479,plain,( 14.34/2.49 0 = fib1(0)), 14.34/2.49 inference(cnf_transformation,[],[f79])). 14.34/2.49 tff(f79,axiom,( 14.34/2.49 0 = fib1(0)), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f769,plain,( 14.34/2.49 spl52_43), 14.34/2.49 inference(avatar_split_clause,[],[f447,f766])). 14.34/2.49 tff(f447,plain,( 14.34/2.49 inv1(sK8)), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f764,plain,( 14.34/2.49 spl52_42), 14.34/2.49 inference(avatar_split_clause,[],[f509,f761])). 14.34/2.49 tff(f509,plain,( 14.34/2.49 string_of_array1(sF14,2,sF16) = sF17), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF17])])). 14.34/2.49 tff(f759,plain,( 14.34/2.49 spl52_41), 14.34/2.49 inference(avatar_split_clause,[],[f550,f756])). 14.34/2.49 tff(f550,plain,( 14.34/2.49 $sum(sF18,sF50) = sF51), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF51])])). 14.34/2.49 tff(f754,plain,( 14.34/2.49 spl52_40), 14.34/2.49 inference(avatar_split_clause,[],[f519,f751])). 14.34/2.49 tff(f749,plain,( 14.34/2.49 spl52_39), 14.34/2.49 inference(avatar_split_clause,[],[f521,f746])). 14.34/2.49 tff(f521,plain,( 14.34/2.49 $less(sF26,sF28)), 14.34/2.49 inference(definition_folding,[],[f492,f520,f519,f518,f517,f516,f515,f514,f513,f512,f511,f510,f509,f508,f507,f506,f505,f504,f506,f505,f504])). 14.34/2.49 tff(f505,plain,( 14.34/2.49 mk_array1(rope,sK4,sF12) = sF13), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF13])])). 14.34/2.49 tff(f506,plain,( 14.34/2.49 tb2t1(sF13) = sF14), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF14])])). 14.34/2.49 tff(f507,plain,( 14.34/2.49 t2tb1(sF14) = sF15), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF15])])). 14.34/2.49 tff(f510,plain,( 14.34/2.49 length3(sF17) = sF18), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF18])])). 14.34/2.49 tff(f513,plain,( 14.34/2.49 t2tb(sF20) = sF21), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF21])])). 14.34/2.49 tff(f514,plain,( 14.34/2.49 app_proj_31(sK8) = sF22), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF22])])). 14.34/2.49 tff(f515,plain,( 14.34/2.49 t2tb(sF22) = sF23), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF23])])). 14.34/2.49 tff(f516,plain,( 14.34/2.49 match_rope1(int,sK8,sF19,sF21,sF23) = sF24), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF24])])). 14.34/2.49 tff(f517,plain,( 14.34/2.49 tb2t(sF24) = sF25), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF25])])). 14.34/2.49 tff(f518,plain,( 14.34/2.49 $sum(sF18,sF25) = sF26), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF26])])). 14.34/2.49 tff(f492,plain,( 14.34/2.49 $less($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))))),tb2t(match_rope1(int,sK8,t2tb(0),t2tb(str_proj_31(sK8)),t2tb(app_proj_31(sK8))))),fib1($sum(max3,1)))), 14.34/2.49 inference(definition_unfolding,[],[f449,f391])). 14.34/2.49 tff(f449,plain,( 14.34/2.49 $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,sK8,t2tb(0),t2tb(str_proj_31(sK8)),t2tb(app_proj_31(sK8))))),fib1($sum(max3,1)))), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f744,plain,( 14.34/2.49 spl52_38), 14.34/2.49 inference(avatar_split_clause,[],[f528,f741])). 14.34/2.49 tff(f739,plain,( 14.34/2.49 ~spl52_37), 14.34/2.49 inference(avatar_split_clause,[],[f476,f736])). 14.34/2.49 tff(f736,plain,( 14.34/2.49 spl52_37 <=> true1 = false1), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_37])])). 14.34/2.49 tff(f476,plain,( 14.34/2.49 true1 != false1), 14.34/2.49 inference(cnf_transformation,[],[f61])). 14.34/2.49 tff(f61,axiom,( 14.34/2.49 true1 != false1), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f734,plain,( 14.34/2.49 spl52_36), 14.34/2.49 inference(avatar_split_clause,[],[f525,f731])). 14.34/2.49 tff(f729,plain,( 14.34/2.49 spl52_35), 14.34/2.49 inference(avatar_split_clause,[],[f513,f726])). 14.34/2.49 tff(f724,plain,( 14.34/2.49 spl52_34), 14.34/2.49 inference(avatar_split_clause,[],[f535,f721])). 14.34/2.49 tff(f719,plain,( 14.34/2.49 spl52_33), 14.34/2.49 inference(avatar_split_clause,[],[f537,f716])). 14.34/2.49 tff(f714,plain,( 14.34/2.49 spl52_32), 14.34/2.49 inference(avatar_split_clause,[],[f515,f711])). 14.34/2.49 tff(f709,plain,( 14.34/2.49 spl52_31), 14.34/2.49 inference(avatar_split_clause,[],[f539,f706])). 14.34/2.49 tff(f704,plain,( 14.34/2.49 spl52_30), 14.34/2.49 inference(avatar_split_clause,[],[f507,f701])). 14.34/2.49 tff(f699,plain,( 14.34/2.49 spl52_29), 14.34/2.49 inference(avatar_split_clause,[],[f529,f696])). 14.34/2.49 tff(f694,plain,( 14.34/2.49 spl52_28), 14.34/2.49 inference(avatar_split_clause,[],[f530,f691])). 14.34/2.49 tff(f530,plain,( 14.34/2.49 string3(sK8) = sF35), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF35])])). 14.34/2.49 tff(f689,plain,( 14.34/2.49 spl52_27), 14.34/2.49 inference(avatar_split_clause,[],[f548,f686])). 14.34/2.49 tff(f548,plain,( 14.34/2.49 match_rope1(int,sK6,sF19,sF46,sF48) = sF49), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF49])])). 14.34/2.49 tff(f684,plain,( 14.34/2.49 ~spl52_26), 14.34/2.49 inference(avatar_split_clause,[],[f442,f681])). 14.34/2.49 tff(f442,plain,( 14.34/2.49 ~$less(sK4,0)), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f679,plain,( 14.34/2.49 spl52_25), 14.34/2.49 inference(avatar_split_clause,[],[f506,f676])). 14.34/2.49 tff(f674,plain,( 14.34/2.49 spl52_24), 14.34/2.49 inference(avatar_split_clause,[],[f540,f671])). 14.34/2.49 tff(f669,plain,( 14.34/2.49 ~spl52_23), 14.34/2.49 inference(avatar_split_clause,[],[f349,f666])). 14.34/2.49 tff(f349,plain,( 14.34/2.49 ~$less(max3,2)), 14.34/2.49 inference(cnf_transformation,[],[f106])). 14.34/2.49 tff(f106,plain,( 14.34/2.49 ~$less(max3,2)), 14.34/2.49 inference(theory_normalization,[],[f16])). 14.34/2.49 tff(f16,axiom,( 14.34/2.49 $lesseq(2,max3)), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f664,plain,( 14.34/2.49 spl52_22), 14.34/2.49 inference(avatar_split_clause,[],[f518,f661])). 14.34/2.49 tff(f659,plain,( 14.34/2.49 spl52_21), 14.34/2.49 inference(avatar_split_clause,[],[f524,f656])). 14.34/2.49 tff(f654,plain,( 14.34/2.49 spl52_20), 14.34/2.49 inference(avatar_split_clause,[],[f536,f651])). 14.34/2.49 tff(f649,plain,( 14.34/2.49 spl52_19), 14.34/2.49 inference(avatar_split_clause,[],[f532,f646])). 14.34/2.49 tff(f532,plain,( 14.34/2.49 infix_eqeq1(sF34,sF36)), 14.34/2.49 inference(definition_folding,[],[f493,f531,f530,f509,f508,f507,f506,f505,f504,f506,f505,f504,f529,f528,f527,f526,f525,f524,f526,f525,f524])). 14.34/2.49 tff(f531,plain,( 14.34/2.49 app2(sF17,sF35) = sF36), 14.34/2.49 introduced(function_definition,[new_symbols(definition,[sF36])])). 14.34/2.49 tff(f493,plain,( 14.34/2.49 infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10)))))),app2(string_of_array1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))))),string3(sK8)))), 14.34/2.49 inference(definition_unfolding,[],[f445,f391,f391])). 14.34/2.49 tff(f445,plain,( 14.34/2.49 infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK10)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5)))),string3(sK8)))), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f644,plain,( 14.34/2.49 spl52_18), 14.34/2.49 inference(avatar_split_clause,[],[f516,f641])). 14.34/2.49 tff(f639,plain,( 14.34/2.49 spl52_17), 14.34/2.49 inference(avatar_split_clause,[],[f551,f636])). 14.34/2.49 tff(f551,plain,( 14.34/2.49 $less(sF51,sF28)), 14.34/2.49 inference(definition_folding,[],[f495,f520,f519,f550,f549,f548,f547,f546,f545,f544,f511,f510,f509,f508,f507,f506,f505,f504,f506,f505,f504])). 14.34/2.49 tff(f495,plain,( 14.34/2.49 $less($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1)))), 14.34/2.49 inference(definition_unfolding,[],[f439,f391])). 14.34/2.49 tff(f439,plain,( 14.34/2.49 $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK4,t2tb3(sK5))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1)))), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f634,plain,( 14.34/2.49 spl52_16), 14.34/2.49 inference(avatar_split_clause,[],[f552,f631])). 14.34/2.49 tff(f552,plain,( 14.34/2.49 sK4 = sF27), 14.34/2.49 inference(definition_folding,[],[f438,f519])). 14.34/2.49 tff(f438,plain,( 14.34/2.49 $sum(max3,1) = sK4), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f629,plain,( 14.34/2.49 spl52_15), 14.34/2.49 inference(avatar_split_clause,[],[f520,f626])). 14.34/2.49 tff(f624,plain,( 14.34/2.49 spl52_14), 14.34/2.49 inference(avatar_split_clause,[],[f505,f621])). 14.34/2.49 tff(f619,plain,( 14.34/2.49 spl52_13), 14.34/2.49 inference(avatar_split_clause,[],[f502,f616])). 14.34/2.49 tff(f614,plain,( 14.34/2.49 spl52_12), 14.34/2.49 inference(avatar_split_clause,[],[f514,f611])). 14.34/2.49 tff(f609,plain,( 14.34/2.49 spl52_11), 14.34/2.49 inference(avatar_split_clause,[],[f376,f606])). 14.34/2.49 tff(f606,plain,( 14.34/2.49 spl52_11 <=> inv1(emp1)), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_11])])). 14.34/2.49 tff(f376,plain,( 14.34/2.49 inv1(emp1)), 14.34/2.49 inference(cnf_transformation,[],[f296])). 14.34/2.49 tff(f604,plain,( 14.34/2.49 spl52_10), 14.34/2.49 inference(avatar_split_clause,[],[f510,f601])). 14.34/2.49 tff(f599,plain,( 14.34/2.49 spl52_9), 14.34/2.49 inference(avatar_split_clause,[],[f454,f596])). 14.34/2.49 tff(f454,plain,( 14.34/2.49 0 = length3(empty1)), 14.34/2.49 inference(cnf_transformation,[],[f39])). 14.34/2.49 tff(f39,axiom,( 14.34/2.49 0 = length3(empty1)), 14.34/2.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 14.34/2.49 tff(f594,plain,( 14.34/2.49 spl52_8), 14.34/2.49 inference(avatar_split_clause,[],[f534,f591])). 14.34/2.49 tff(f589,plain,( 14.34/2.49 spl52_7), 14.34/2.49 inference(avatar_split_clause,[],[f527,f586])). 14.34/2.49 tff(f584,plain,( 14.34/2.49 spl52_6), 14.34/2.49 inference(avatar_split_clause,[],[f531,f581])). 14.34/2.49 tff(f579,plain,( 14.34/2.49 spl52_5), 14.34/2.49 inference(avatar_split_clause,[],[f504,f576])). 14.34/2.49 tff(f574,plain,( 14.34/2.49 spl52_4), 14.34/2.49 inference(avatar_split_clause,[],[f517,f571])). 14.34/2.49 tff(f569,plain,( 14.34/2.49 spl52_3), 14.34/2.49 inference(avatar_split_clause,[],[f395,f566])). 14.34/2.49 tff(f566,plain,( 14.34/2.49 spl52_3 <=> string3(emp1) = empty1), 14.34/2.49 introduced(avatar_definition,[new_symbols(naming,[spl52_3])])). 14.34/2.49 tff(f395,plain,( 14.34/2.49 string3(emp1) = empty1), 14.34/2.49 inference(cnf_transformation,[],[f301])). 14.34/2.49 tff(f564,plain,( 14.34/2.49 spl52_2), 14.34/2.49 inference(avatar_split_clause,[],[f437,f561])). 14.34/2.49 tff(f437,plain,( 14.34/2.49 $less(2,sK4)), 14.34/2.49 inference(cnf_transformation,[],[f330])). 14.34/2.49 tff(f559,plain,( 14.34/2.49 spl52_1), 14.34/2.49 inference(avatar_split_clause,[],[f526,f556])). 14.34/2.49 % SZS output end Proof for theBenchmark 14.34/2.49 % (18137)------------------------------ 14.34/2.49 % (18137)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.34/2.49 % (18137)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.34/2.49 % (18137)Termination reason: Refutation 14.34/2.49 14.34/2.49 % (18137)Memory used [KB]: 8064 14.34/2.49 % (18137)Time elapsed: 0.673 s 14.34/2.49 % (18137)Instructions burned: 2155 (million) 14.34/2.49 % (18137)------------------------------ 14.34/2.49 % (18137)------------------------------ 14.34/2.49 % (18063)Success in time 2.116 s 14.34/2.49 EOF