0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n019.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 06:21:09 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a TFF_ problem 0.13/0.37 Running first-order theorem proving 0.13/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23221)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) 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23219)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) 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23217)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) 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23218)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) 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23216)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) 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23220)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) 0.23/0.43 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.43 % (23215)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) 0.23/0.43 % (23218)Instruction limit reached! 0.23/0.43 % (23218)------------------------------ 0.23/0.43 % (23218)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.43 % (23218)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.43 % (23218)Termination reason: Time limit 0.23/0.43 % (23218)Termination phase: SInE selection 0.23/0.43 0.23/0.43 % (23218)Memory used [KB]: 757 0.23/0.43 % (23218)Time elapsed: 0.003 s 0.23/0.43 % (23218)Instructions burned: 2 (million) 0.23/0.44 % (23216)Refutation not found, incomplete strategy% (23216)------------------------------ 0.23/0.44 % (23216)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.44 % (23217)Instruction limit reached! 0.23/0.44 % (23217)------------------------------ 0.23/0.44 % (23217)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.44 % (23217)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.44 % (23217)Termination reason: Time limit 0.23/0.44 % (23217)Termination phase: Saturation 0.23/0.44 0.23/0.44 % (23217)Memory used [KB]: 915 0.23/0.44 % (23217)Time elapsed: 0.008 s 0.23/0.44 % (23217)Instructions burned: 8 (million) 0.23/0.44 % (23216)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.44 % (23216)Termination reason: Refutation not found, incomplete strategy 0.23/0.44 0.23/0.44 % (23216)Memory used [KB]: 936 0.23/0.44 % (23216)Time elapsed: 0.008 s 0.23/0.44 % (23216)Instructions burned: 8 (million) 0.23/0.44 % (23216)------------------------------ 0.23/0.44 % (23216)------------------------------ 0.23/0.44 % (23221)Instruction limit reached! 0.23/0.44 % (23221)------------------------------ 0.23/0.44 % (23221)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.44 % (23221)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.44 % (23221)Termination reason: Time limit 0.23/0.44 % (23221)Termination phase: Saturation 0.23/0.44 0.23/0.44 % (23221)Memory used [KB]: 1162 0.23/0.44 % (23221)Time elapsed: 0.014 s 0.23/0.44 % (23221)Instructions burned: 33 (million) 0.23/0.44 % (23220)Instruction limit reached! 0.23/0.44 % (23220)------------------------------ 0.23/0.44 % (23220)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.44 % (23220)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.44 % (23220)Termination reason: Time limit 0.23/0.44 % (23220)Termination phase: Saturation 0.23/0.44 0.23/0.44 % (23220)Memory used [KB]: 1001 0.23/0.44 % (23220)Time elapsed: 0.013 s 0.23/0.44 % (23220)Instructions burned: 16 (million) 0.23/0.46 % (23219)Instruction limit reached! 0.23/0.46 % (23219)------------------------------ 0.23/0.46 % (23219)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.46 % (23219)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.46 % (23219)Termination reason: Time limit 0.23/0.46 % (23219)Termination phase: Saturation 0.23/0.46 0.23/0.46 % (23219)Memory used [KB]: 1368 0.23/0.46 % (23219)Time elapsed: 0.028 s 0.23/0.46 % (23219)Instructions burned: 37 (million) 0.23/0.47 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.47 % (23226)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.23/0.49 % (23226)Instruction limit reached! 0.23/0.49 % (23226)------------------------------ 0.23/0.49 % (23226)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.49 % (23226)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.49 % (23226)Termination reason: Time limit 0.23/0.49 % (23226)Termination phase: Saturation 0.23/0.49 0.23/0.49 % (23226)Memory used [KB]: 1323 0.23/0.49 % (23226)Time elapsed: 0.016 s 0.23/0.49 % (23226)Instructions burned: 35 (million) 0.23/0.49 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.49 % (23223)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) 0.23/0.49 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.49 % (23224)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) 0.23/0.50 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.50 % (23225)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) 0.23/0.50 % (23225)Instruction limit reached! 0.23/0.50 % (23225)------------------------------ 0.23/0.50 % (23225)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.50 % (23225)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.50 % (23225)Termination reason: Time limit 0.23/0.50 % (23225)Termination phase: Preprocessing 3 0.23/0.50 0.23/0.50 % (23225)Memory used [KB]: 841 0.23/0.50 % (23225)Time elapsed: 0.003 s 0.23/0.50 % (23225)Instructions burned: 3 (million) 0.23/0.50 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.50 % (23228)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) 0.23/0.50 % (23228)Instruction limit reached! 0.23/0.50 % (23228)------------------------------ 0.23/0.50 % (23228)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.50 % (23228)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.50 % (23228)Termination reason: Time limit 0.23/0.50 % (23228)Termination phase: Preprocessing 3 0.23/0.50 0.23/0.50 % (23228)Memory used [KB]: 829 0.23/0.50 % (23228)Time elapsed: 0.002 s 0.23/0.50 % (23228)Instructions burned: 3 (million) 0.23/0.50 % (23214)Running in auto input_syntax mode. Trying TPTP 0.23/0.50 % (23227)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) 0.23/0.50 % (23227)Instruction limit reached! 0.23/0.50 % (23227)------------------------------ 0.23/0.50 % (23227)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.50 % (23227)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.50 % (23227)Termination reason: Time limit 0.23/0.50 % (23227)Termination phase: Saturation 0.23/0.50 0.23/0.50 % (23227)Memory used [KB]: 869 0.23/0.50 % (23227)Time elapsed: 0.003 s 0.23/0.50 % (23227)Instructions burned: 4 (million) 0.23/0.51 % (23224)Instruction limit reached! 0.23/0.51 % (23224)------------------------------ 0.23/0.51 % (23224)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.51 % (23224)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.51 % (23224)Termination reason: Time limit 0.23/0.51 % (23224)Termination phase: Saturation 0.23/0.51 0.23/0.51 % (23224)Memory used [KB]: 1255 0.23/0.51 % (23224)Time elapsed: 0.014 s 0.23/0.51 % (23224)Instructions burned: 28 (million) 0.23/0.51 % (23223)Instruction limit reached! 0.23/0.51 % (23223)------------------------------ 0.23/0.51 % (23223)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.23/0.51 % (23223)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.23/0.51 % (23223)Termination reason: Time limit 0.23/0.51 % (23223)Termination phase: Saturation 0.23/0.51 0.23/0.51 % (23223)Memory used [KB]: 1329 0.23/0.51 % (23223)Time elapsed: 0.022 s 0.23/0.51 % (23223)Instructions burned: 37 (million) 1.17/0.53 % (23214)Running in auto input_syntax mode. Trying TPTP 1.17/0.53 % (23230)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) 1.26/0.53 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.53 % (23231)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) 1.26/0.53 % (23231)Instruction limit reached! 1.26/0.53 % (23231)------------------------------ 1.26/0.53 % (23231)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.53 % (23231)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.53 % (23231)Termination reason: Time limit 1.26/0.53 % (23231)Termination phase: Property scanning 1.26/0.53 1.26/0.53 % (23231)Memory used [KB]: 755 1.26/0.53 % (23231)Time elapsed: 0.002 s 1.26/0.53 % (23231)Instructions burned: 2 (million) 1.26/0.54 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.54 % (23232)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 1.26/0.54 % (23232)Instruction limit reached! 1.26/0.54 % (23232)------------------------------ 1.26/0.54 % (23232)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.54 % (23232)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.54 % (23232)Termination reason: Time limit 1.26/0.54 % (23232)Termination phase: Unused predicate definition removal 1.26/0.54 1.26/0.54 % (23232)Memory used [KB]: 826 1.26/0.54 % (23232)Time elapsed: 0.002 s 1.26/0.54 % (23232)Instructions burned: 2 (million) 1.26/0.54 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.54 % (23229)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 1.26/0.55 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.55 % (23234)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) 1.26/0.55 % (23230)Refutation not found, non-redundant clauses discarded% (23230)------------------------------ 1.26/0.55 % (23230)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.55 % (23230)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.55 % (23230)Termination reason: Refutation not found, non-redundant clauses discarded 1.26/0.55 1.26/0.55 % (23230)Memory used [KB]: 1295 1.26/0.55 % (23230)Time elapsed: 0.018 s 1.26/0.55 % (23230)Instructions burned: 51 (million) 1.26/0.55 % (23230)------------------------------ 1.26/0.55 % (23230)------------------------------ 1.26/0.55 % (23234)Instruction limit reached! 1.26/0.55 % (23234)------------------------------ 1.26/0.55 % (23234)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.55 % (23234)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.55 % (23234)Termination reason: Time limit 1.26/0.55 % (23234)Termination phase: Saturation 1.26/0.55 1.26/0.55 % (23234)Memory used [KB]: 1093 1.26/0.55 % (23234)Time elapsed: 0.008 s 1.26/0.55 % (23234)Instructions burned: 17 (million) 1.26/0.55 % (23229)Instruction limit reached! 1.26/0.55 % (23229)------------------------------ 1.26/0.55 % (23229)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.55 % (23229)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.55 % (23229)Termination reason: Time limit 1.26/0.55 % (23229)Termination phase: Saturation 1.26/0.55 1.26/0.55 % (23229)Memory used [KB]: 1091 1.26/0.55 % (23229)Time elapsed: 0.017 s 1.26/0.55 % (23229)Instructions burned: 21 (million) 1.26/0.57 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.57 % (23236)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) 1.26/0.57 % (23236)Instruction limit reached! 1.26/0.57 % (23236)------------------------------ 1.26/0.57 % (23236)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.57 % (23236)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.57 % (23236)Termination reason: Time limit 1.26/0.57 % (23236)Termination phase: Preprocessing 3 1.26/0.57 1.26/0.57 % (23236)Memory used [KB]: 824 1.26/0.57 % (23236)Time elapsed: 0.002 s 1.26/0.57 % (23236)Instructions burned: 2 (million) 1.26/0.57 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.57 % (23237)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) 1.26/0.57 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.57 % (23233)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) 1.26/0.58 % (23237)Instruction limit reached! 1.26/0.58 % (23237)------------------------------ 1.26/0.58 % (23237)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.58 % (23237)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.58 % (23237)Termination reason: Time limit 1.26/0.58 % (23237)Termination phase: Saturation 1.26/0.58 1.26/0.58 % (23237)Memory used [KB]: 1098 1.26/0.58 % (23237)Time elapsed: 0.007 s 1.26/0.58 % (23237)Instructions burned: 15 (million) 1.26/0.58 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.58 % (23238)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) 1.26/0.59 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.59 % (23239)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) 1.26/0.59 % (23238)Instruction limit reached! 1.26/0.59 % (23238)------------------------------ 1.26/0.59 % (23238)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.59 % (23238)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.59 % (23238)Termination reason: Time limit 1.26/0.59 % (23238)Termination phase: Saturation 1.26/0.59 1.26/0.59 % (23238)Memory used [KB]: 1100 1.26/0.59 % (23238)Time elapsed: 0.010 s 1.26/0.59 % (23238)Instructions burned: 22 (million) 1.26/0.60 % (23239)First to succeed. 1.26/0.60 % (23233)Instruction limit reached! 1.26/0.60 % (23233)------------------------------ 1.26/0.60 % (23233)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.60 % (23233)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.60 % (23233)Termination reason: Time limit 1.26/0.60 % (23233)Termination phase: Saturation 1.26/0.60 1.26/0.60 % (23233)Memory used [KB]: 1428 1.26/0.60 % (23233)Time elapsed: 0.032 s 1.26/0.60 % (23233)Instructions burned: 49 (million) 1.26/0.60 % (23239)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23214" 1.26/0.60 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.60 % (23241)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) 1.26/0.60 % (23214)Running in auto input_syntax mode. Trying TPTP 1.26/0.60 % (23239)Refutation found. Thanks to Tanya! 1.26/0.60 % SZS status Theorem for theBenchmark 1.26/0.60 % SZS output start Proof for theBenchmark 1.26/0.60 tff(type_def_5, type, uni: $tType). 1.26/0.60 tff(type_def_6, type, ty: $tType). 1.26/0.60 tff(type_def_7, type, bool1: $tType). 1.26/0.60 tff(type_def_8, type, tuple02: $tType). 1.26/0.60 tff(type_def_9, type, map_int_int: $tType). 1.26/0.60 tff(func_def_0, type, witness1: ty > uni). 1.26/0.60 tff(func_def_1, type, int: ty). 1.26/0.60 tff(func_def_2, type, real: ty). 1.26/0.60 tff(func_def_3, type, bool: ty). 1.26/0.60 tff(func_def_4, type, true1: bool1). 1.26/0.60 tff(func_def_5, type, false1: bool1). 1.26/0.60 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 1.26/0.60 tff(func_def_7, type, tuple0: ty). 1.26/0.60 tff(func_def_8, type, tuple03: tuple02). 1.26/0.60 tff(func_def_9, type, qtmark: ty). 1.26/0.60 tff(func_def_10, type, map: (ty * ty) > ty). 1.26/0.60 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 1.26/0.60 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 1.26/0.60 tff(func_def_13, type, set2: (map_int_int * $int * $int) > map_int_int). 1.26/0.60 tff(func_def_14, type, t2tb: map_int_int > uni). 1.26/0.60 tff(func_def_15, type, tb2t: uni > map_int_int). 1.26/0.60 tff(func_def_16, type, t2tb1: $int > uni). 1.26/0.60 tff(func_def_17, type, tb2t1: uni > $int). 1.26/0.60 tff(func_def_18, type, const: (ty * ty * uni) > uni). 1.26/0.60 tff(func_def_19, type, ref: ty > ty). 1.26/0.60 tff(func_def_20, type, mk_ref: (ty * uni) > uni). 1.26/0.60 tff(func_def_21, type, contents: (ty * uni) > uni). 1.26/0.60 tff(func_def_22, type, a1: $int). 1.26/0.60 tff(func_def_34, type, sK0: map_int_int). 1.26/0.60 tff(func_def_35, type, sK1: $int). 1.26/0.60 tff(func_def_36, type, sK2: $int). 1.26/0.60 tff(func_def_37, type, sK3: $int). 1.26/0.60 tff(func_def_38, type, sK4: $int). 1.26/0.60 tff(func_def_39, type, sK5: map_int_int). 1.26/0.60 tff(func_def_40, type, sK6: map_int_int > $int). 1.26/0.60 tff(pred_def_1, type, sort1: (ty * uni) > $o). 1.26/0.60 tff(pred_def_2, type, separation1: $int > $o). 1.26/0.60 tff(pred_def_3, type, inv1: map_int_int > $o). 1.26/0.60 tff(pred_def_4, type, inv_l21: (map_int_int * $int * $int) > $o). 1.26/0.60 tff(f574,plain,( 1.26/0.60 $false), 1.26/0.60 inference(evaluation,[],[f565])). 1.26/0.60 tff(f565,plain,( 1.26/0.60 ~$less(-24,-16)), 1.26/0.60 inference(resolution,[],[f561,f294])). 1.26/0.60 tff(f294,plain,( 1.26/0.60 ~$less($sum(-24,sK1),a1)), 1.26/0.60 inference(resolution,[],[f292,f42])). 1.26/0.60 tff(f42,plain,( 1.26/0.60 ( ! [X0 : $int] : (~$less(X0,X0)) )), 1.26/0.60 introduced(theory_axiom_150,[])). 1.26/0.60 tff(f292,plain,( 1.26/0.60 ( ! [X0 : $int] : ($less(X0,$sum(-24,sK1)) | ~$less(X0,a1)) )), 1.26/0.60 inference(evaluation,[],[f291])). 1.26/0.60 tff(f291,plain,( 1.26/0.60 ( ! [X0 : $int] : (~$less(0,10) | $less(X0,$sum(-24,sK1)) | ~$less(X0,a1)) )), 1.26/0.60 inference(superposition,[],[f271,f39])). 1.26/0.60 tff(f39,plain,( 1.26/0.60 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 1.26/0.60 introduced(theory_axiom_145,[])). 1.26/0.60 tff(f271,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(a1,X0)) | ~$less(X0,10) | $less(X1,$sum(-24,sK1))) )), 1.26/0.60 inference(superposition,[],[f239,f37])). 1.26/0.60 tff(f37,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 1.26/0.60 introduced(theory_axiom_143,[])). 1.26/0.60 tff(f239,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(X1,a1)) | ~$less(X1,10) | $less(X0,$sum(-24,sK1))) )), 1.26/0.60 inference(resolution,[],[f195,f45])). 1.26/0.60 tff(f45,plain,( 1.26/0.60 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 1.26/0.60 introduced(theory_axiom_153,[])). 1.26/0.60 tff(f195,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(10,a1)) | $less(X1,$sum(-24,sK1)) | ~$less(X1,X0)) )), 1.26/0.60 inference(resolution,[],[f178,f43])). 1.26/0.60 tff(f43,plain,( 1.26/0.60 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 1.26/0.60 introduced(theory_axiom_151,[])). 1.26/0.60 tff(f178,plain,( 1.26/0.60 ( ! [X0 : $int] : ($less(X0,$sum(-24,sK1)) | ~$less(X0,$sum(10,a1))) )), 1.26/0.60 inference(resolution,[],[f175,f43])). 1.26/0.60 tff(f175,plain,( 1.26/0.60 $less($sum(10,a1),$sum(-24,sK1))), 1.26/0.60 inference(forward_demodulation,[],[f174,f37])). 1.26/0.60 tff(f174,plain,( 1.26/0.60 $less($sum(a1,10),$sum(-24,sK1))), 1.26/0.60 inference(forward_demodulation,[],[f173,f37])). 1.26/0.60 tff(f173,plain,( 1.26/0.60 $less($sum(a1,10),$sum(sK1,-24))), 1.26/0.60 inference(resolution,[],[f133,f169])). 1.26/0.60 tff(f169,plain,( 1.26/0.60 ( ! [X0 : $int] : (~separation1(X0) | $less($sum(a1,10),$sum(X0,-24))) )), 1.26/0.60 inference(evaluation,[],[f140])). 1.26/0.60 tff(f140,plain,( 1.26/0.60 ( ! [X0 : $int] : ($less($sum(a1,10),$sum(X0,$uminus(24))) | ~separation1(X0)) )), 1.26/0.60 inference(cnf_transformation,[],[f91])). 1.26/0.60 tff(f91,plain,( 1.26/0.60 ! [X0 : $int] : (~separation1(X0) | $less($sum(a1,10),$sum(X0,$uminus(24))))), 1.26/0.60 inference(ennf_transformation,[],[f83])). 1.26/0.60 tff(f83,plain,( 1.26/0.60 ! [X0 : $int] : (separation1(X0) => $less($sum(a1,10),$sum(X0,$uminus(24))))), 1.26/0.60 inference(unused_predicate_definition_removal,[],[f56])). 1.26/0.60 tff(f56,plain,( 1.26/0.60 ! [X0 : $int] : ($less($sum(a1,10),$sum(X0,$uminus(24))) <=> separation1(X0))), 1.26/0.60 inference(rectify,[],[f32])). 1.26/0.60 tff(f32,plain,( 1.26/0.60 ! [X4 : $int] : ($less($sum(a1,10),$sum(X4,$uminus(24))) <=> separation1(X4))), 1.26/0.60 inference(theory_normalization,[],[f14])). 1.26/0.60 tff(f14,axiom,( 1.26/0.60 ! [X4 : $int] : ($less($sum(a1,10),$difference(X4,24)) <=> separation1(X4))), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f133,plain,( 1.26/0.60 separation1(sK1)), 1.26/0.60 inference(cnf_transformation,[],[f109])). 1.26/0.60 tff(f109,plain,( 1.26/0.60 inv1(sK0) & separation1(sK1) & (0 = sK2 & (((~inv_l21(sK5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5) & 2 = sK4) & 0 = sK3))), 1.26/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f101,f108,f107,f106,f105,f104])). 1.26/0.60 tff(f104,plain,( 1.26/0.60 ? [X0 : map_int_int,X1 : $int] : (inv1(X0) & separation1(X1) & ? [X2 : $int] : (0 = X2 & ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,X1,X2) & set2(X0,$sum(X1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3))) => (inv1(sK0) & separation1(sK1) & ? [X2 : $int] : (0 = X2 & ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,X2) & set2(sK0,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3)))), 1.26/0.60 introduced(choice_axiom,[])). 1.26/0.60 tff(f105,plain,( 1.26/0.60 ? [X2 : $int] : (0 = X2 & ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,X2) & set2(sK0,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3)) => (0 = sK2 & ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3))), 1.26/0.60 introduced(choice_axiom,[])). 1.26/0.60 tff(f106,plain,( 1.26/0.60 ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) => (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = sK3)), 1.26/0.60 introduced(choice_axiom,[])). 1.26/0.60 tff(f107,plain,( 1.26/0.60 ? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) => (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),sK4) = X5) & 2 = sK4)), 1.26/0.60 introduced(choice_axiom,[])). 1.26/0.60 tff(f108,plain,( 1.26/0.60 ? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),sK4) = X5) => (~inv_l21(sK5,sK1,sK2) & set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5)), 1.26/0.60 introduced(choice_axiom,[])). 1.26/0.60 tff(f101,plain,( 1.26/0.60 ? [X0 : map_int_int,X1 : $int] : (inv1(X0) & separation1(X1) & ? [X2 : $int] : (0 = X2 & ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,X1,X2) & set2(X0,$sum(X1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3)))), 1.26/0.60 inference(flattening,[],[f100])). 1.26/0.60 tff(f100,plain,( 1.26/0.60 ? [X1 : $int,X0 : map_int_int] : (? [X2 : $int] : (0 = X2 & ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,X1,X2) & set2(X0,$sum(X1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3)) & (separation1(X1) & inv1(X0)))), 1.26/0.60 inference(ennf_transformation,[],[f55])). 1.26/0.60 tff(f55,plain,( 1.26/0.60 ~! [X1 : $int,X0 : map_int_int] : ((separation1(X1) & inv1(X0)) => ! [X2 : $int] : (0 = X2 => ! [X3 : $int] : (0 = X3 => ! [X4 : $int] : (2 = X4 => ! [X5 : map_int_int] : (set2(X0,$sum(X1,$uminus(16)),X4) = X5 => inv_l21(X5,X1,X2))))))), 1.26/0.60 inference(rectify,[],[f36])). 1.26/0.60 tff(f36,plain,( 1.26/0.60 ~! [X3 : map_int_int,X4 : $int] : ((inv1(X3) & separation1(X4)) => ! [X5 : $int] : (0 = X5 => ! [X18 : $int] : (0 = X18 => ! [X19 : $int] : (2 = X19 => ! [X20 : map_int_int] : (set2(X3,$sum(X4,$uminus(16)),X19) = X20 => inv_l21(X20,X4,X5))))))), 1.26/0.60 inference(theory_normalization,[],[f23])). 1.26/0.60 tff(f23,negated_conjecture,( 1.26/0.60 ~! [X3 : map_int_int,X4 : $int] : ((inv1(X3) & separation1(X4)) => ! [X5 : $int] : (0 = X5 => ! [X18 : $int] : (0 = X18 => ! [X19 : $int] : (2 = X19 => ! [X20 : map_int_int] : (set2(X3,$difference(X4,16),X19) = X20 => inv_l21(X20,X4,X5))))))), 1.26/0.60 inference(negated_conjecture,[],[f22])). 1.26/0.60 tff(f22,conjecture,( 1.26/0.60 ! [X3 : map_int_int,X4 : $int] : ((inv1(X3) & separation1(X4)) => ! [X5 : $int] : (0 = X5 => ! [X18 : $int] : (0 = X18 => ! [X19 : $int] : (2 = X19 => ! [X20 : map_int_int] : (set2(X3,$difference(X4,16),X19) = X20 => inv_l21(X20,X4,X5))))))), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f561,plain,( 1.26/0.60 ( ! [X0 : $int] : ($less($sum(X0,sK1),a1) | ~$less(X0,-16)) )), 1.26/0.60 inference(superposition,[],[f45,f546])). 1.26/0.60 tff(f546,plain,( 1.26/0.60 a1 = $sum(-16,sK1)), 1.26/0.60 inference(subsumption_resolution,[],[f420,f505])). 1.26/0.60 tff(f505,plain,( 1.26/0.60 ~inv1(sK5)), 1.26/0.60 inference(subsumption_resolution,[],[f504,f167])). 1.26/0.60 tff(f167,plain,( 1.26/0.60 ~inv_l21(sK5,sK1,0)), 1.26/0.60 inference(definition_unfolding,[],[f131,f132])). 1.26/0.60 tff(f132,plain,( 1.26/0.60 0 = sK2), 1.26/0.60 inference(cnf_transformation,[],[f109])). 1.26/0.60 tff(f131,plain,( 1.26/0.60 ~inv_l21(sK5,sK1,sK2)), 1.26/0.60 inference(cnf_transformation,[],[f109])). 1.26/0.60 tff(f504,plain,( 1.26/0.60 ~inv1(sK5) | inv_l21(sK5,sK1,0)), 1.26/0.60 inference(equality_resolution,[],[f502])). 1.26/0.60 tff(f502,plain,( 1.26/0.60 ( ! [X0 : $int] : (0 != X0 | ~inv1(sK5) | inv_l21(sK5,sK1,X0)) )), 1.26/0.60 inference(equality_resolution,[],[f265])). 1.26/0.60 tff(f265,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : ($sum(-16,sK1) != $sum(-16,X0) | inv_l21(sK5,X0,X1) | 0 != X1 | ~inv1(sK5)) )), 1.26/0.60 inference(superposition,[],[f193,f37])). 1.26/0.60 tff(f193,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : ($sum(X0,-16) != $sum(-16,sK1) | 0 != X1 | inv_l21(sK5,X0,X1) | ~inv1(sK5)) )), 1.26/0.60 inference(evaluation,[],[f188])). 1.26/0.60 tff(f188,plain,( 1.26/0.60 ( ! [X0 : $int,X1 : $int] : ($sum(2,-2) != X1 | $sum(X0,-16) != $sum(-16,sK1) | $less(2,2) | $less(11,2) | ~inv1(sK5) | inv_l21(sK5,X0,X1)) )), 1.26/0.60 inference(superposition,[],[f170,f179])). 1.26/0.60 tff(f179,plain,( 1.26/0.60 ( ! [X0 : $int] : (2 = tb2t1(get(int,int,t2tb(sK5),t2tb1(X0))) | $sum(-16,sK1) != X0) )), 1.26/0.60 inference(superposition,[],[f150,f172])). 1.26/0.60 tff(f172,plain,( 1.26/0.60 sK5 = set2(sK0,$sum(-16,sK1),2)), 1.26/0.60 inference(forward_demodulation,[],[f171,f37])). 1.26/0.60 tff(f171,plain,( 1.26/0.60 sK5 = set2(sK0,$sum(sK1,-16),2)), 1.26/0.60 inference(evaluation,[],[f168])). 1.26/0.60 tff(f168,plain,( 1.26/0.60 sK5 = set2(sK0,$sum(sK1,$uminus(16)),2)), 1.26/0.60 inference(definition_unfolding,[],[f130,f129])). 1.26/0.60 tff(f129,plain,( 1.26/0.60 2 = sK4), 1.26/0.60 inference(cnf_transformation,[],[f109])). 1.26/0.60 tff(f130,plain,( 1.26/0.60 set2(sK0,$sum(sK1,$uminus(16)),sK4) = sK5), 1.26/0.60 inference(cnf_transformation,[],[f109])). 1.26/0.60 tff(f150,plain,( 1.26/0.60 ( ! [X2 : $int,X3 : $int,X0 : map_int_int,X1 : $int] : (tb2t1(get(int,int,t2tb(set2(X0,X3,X2)),t2tb1(X1))) = X2 | X1 != X3) )), 1.26/0.60 inference(cnf_transformation,[],[f118])). 1.26/0.60 tff(f118,plain,( 1.26/0.60 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (X1 != X3 | tb2t1(get(int,int,t2tb(set2(X0,X3,X2)),t2tb1(X1))) = X2)), 1.26/0.60 inference(rectify,[],[f87])). 1.26/0.60 tff(f87,plain,( 1.26/0.60 ! [X3 : map_int_int,X1 : $int,X2 : $int,X0 : $int] : (X0 != X1 | tb2t1(get(int,int,t2tb(set2(X3,X0,X2)),t2tb1(X1))) = X2)), 1.26/0.60 inference(ennf_transformation,[],[f59])). 1.26/0.60 tff(f59,plain,( 1.26/0.60 ! [X3 : map_int_int,X1 : $int,X0 : $int,X2 : $int] : (X0 = X1 => tb2t1(get(int,int,t2tb(set2(X3,X0,X2)),t2tb1(X1))) = X2)), 1.26/0.60 inference(rectify,[],[f25])). 1.26/0.60 tff(f25,axiom,( 1.26/0.60 ! [X8 : $int,X16 : $int,X6 : $int,X15 : map_int_int] : (X8 = X16 => tb2t1(get(int,int,t2tb(set2(X15,X8,X6)),t2tb1(X16))) = X6)), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f170,plain,( 1.26/0.60 ( ! [X2 : $int,X0 : $int,X1 : map_int_int] : ($sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,-16)))),-2) != X2 | ~inv1(X1) | inv_l21(X1,X0,X2) | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,-16)))),2) | $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,-16)))))) )), 1.26/0.60 inference(evaluation,[],[f165])). 1.26/0.60 tff(f165,plain,( 1.26/0.60 ( ! [X2 : $int,X0 : $int,X1 : map_int_int] : ($sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) != X2 | ~inv1(X1) | inv_l21(X1,X0,X2) | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),2) | $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))))) )), 1.26/0.60 inference(cnf_transformation,[],[f127])). 1.26/0.60 tff(f127,plain,( 1.26/0.60 ! [X0 : $int,X1 : map_int_int,X2 : $int] : ($sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) != X2 | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16))))),2) | ~inv1(X1) | inv_l21(X1,X0,X2) | $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X0,$uminus(16)))))))), 1.26/0.60 inference(rectify,[],[f103])). 1.26/0.60 tff(f103,plain,( 1.26/0.60 ! [X2 : $int,X1 : map_int_int,X0 : $int] : ($sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)) != X0 | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2) | ~inv1(X1) | inv_l21(X1,X2,X0) | $less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16)))))))), 1.26/0.60 inference(flattening,[],[f102])). 1.26/0.60 tff(f102,plain,( 1.26/0.60 ! [X0 : $int,X2 : $int,X1 : map_int_int] : (inv_l21(X1,X2,X0) | ($less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2) | ~inv1(X1) | $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)) != X0))), 1.26/0.60 inference(ennf_transformation,[],[f82])). 1.26/0.60 tff(f82,plain,( 1.26/0.60 ! [X0 : $int,X2 : $int,X1 : map_int_int] : ((~$less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2) & inv1(X1) & $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)) = X0) => inv_l21(X1,X2,X0))), 1.26/0.60 inference(unused_predicate_definition_removal,[],[f57])). 1.26/0.60 tff(f57,plain,( 1.26/0.60 ! [X0 : $int,X2 : $int,X1 : map_int_int] : (inv_l21(X1,X2,X0) <=> (~$less(11,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),2) & inv1(X1) & $sum(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(X2,$uminus(16))))),$uminus(2)) = X0))), 1.26/0.60 inference(rectify,[],[f35])). 1.26/0.60 tff(f35,plain,( 1.26/0.60 ! [X5 : $int,X3 : map_int_int,X4 : $int] : (inv_l21(X3,X4,X5) <=> (~$less(11,tb2t1(get(int,int,t2tb(X3),t2tb1($sum(X4,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X3),t2tb1($sum(X4,$uminus(16))))),2) & inv1(X3) & $sum(tb2t1(get(int,int,t2tb(X3),t2tb1($sum(X4,$uminus(16))))),$uminus(2)) = X5))), 1.26/0.60 inference(theory_normalization,[],[f3])). 1.26/0.60 tff(f3,axiom,( 1.26/0.60 ! [X5 : $int,X3 : map_int_int,X4 : $int] : (inv_l21(X3,X4,X5) <=> ($lesseq(tb2t1(get(int,int,t2tb(X3),t2tb1($difference(X4,16)))),11) & $lesseq(2,tb2t1(get(int,int,t2tb(X3),t2tb1($difference(X4,16))))) & inv1(X3) & $difference(tb2t1(get(int,int,t2tb(X3),t2tb1($difference(X4,16)))),2) = X5))), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f420,plain,( 1.26/0.60 inv1(sK5) | a1 = $sum(-16,sK1)), 1.26/0.60 inference(subsumption_resolution,[],[f419,f164])). 1.26/0.60 tff(f164,plain,( 1.26/0.60 ( ! [X0 : $int] : (tb2t1(t2tb1(X0)) = X0) )), 1.26/0.60 inference(cnf_transformation,[],[f71])). 1.26/0.60 tff(f71,plain,( 1.26/0.60 ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0), 1.26/0.60 inference(rectify,[],[f16])). 1.26/0.60 tff(f16,axiom,( 1.26/0.60 ! [X10 : $int] : tb2t1(t2tb1(X10)) = X10), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f419,plain,( 1.26/0.60 inv1(sK5) | 0 != tb2t1(t2tb1(0)) | a1 = $sum(-16,sK1)), 1.26/0.60 inference(forward_demodulation,[],[f413,f183])). 1.26/0.60 tff(f183,plain,( 1.26/0.60 get(int,int,t2tb(sK0),t2tb1(a1)) = t2tb1(0)), 1.26/0.60 inference(superposition,[],[f154,f177])). 1.26/0.60 tff(f177,plain,( 1.26/0.60 0 = tb2t1(get(int,int,t2tb(sK0),t2tb1(a1)))), 1.26/0.60 inference(resolution,[],[f134,f160])). 1.26/0.60 tff(f160,plain,( 1.26/0.60 ( ! [X0 : map_int_int] : (~inv1(X0) | 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) )), 1.26/0.60 inference(cnf_transformation,[],[f126])). 1.26/0.60 tff(f126,plain,( 1.26/0.60 ! [X0 : map_int_int] : ((inv1(X0) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) & ~$less(10,sK6(X0)) & ~$less(sK6(X0),1))) & ((0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) & ! [X2 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) | $less(10,X2) | $less(X2,1))) | ~inv1(X0)))), 1.26/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f124,f125])). 1.26/0.60 tff(f125,plain,( 1.26/0.60 ! [X0 : map_int_int] : (? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1)) => (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) & ~$less(10,sK6(X0)) & ~$less(sK6(X0),1)))), 1.26/0.60 introduced(choice_axiom,[])). 1.26/0.60 tff(f124,plain,( 1.26/0.60 ! [X0 : map_int_int] : ((inv1(X0) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1))) & ((0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) & ! [X2 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) | $less(10,X2) | $less(X2,1))) | ~inv1(X0)))), 1.26/0.60 inference(rectify,[],[f123])). 1.26/0.60 tff(f123,plain,( 1.26/0.60 ! [X0 : map_int_int] : ((inv1(X0) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1))) & ((0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) & ! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1) | $less(X1,1))) | ~inv1(X0)))), 1.26/0.60 inference(flattening,[],[f122])). 1.26/0.60 tff(f122,plain,( 1.26/0.60 ! [X0 : map_int_int] : ((inv1(X0) | (0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1)))) & ((0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) & ! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1) | $less(X1,1))) | ~inv1(X0)))), 1.26/0.60 inference(nnf_transformation,[],[f86])). 1.26/0.60 tff(f86,plain,( 1.26/0.60 ! [X0 : map_int_int] : (inv1(X0) <=> (0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) & ! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1) | $less(X1,1))))), 1.26/0.60 inference(flattening,[],[f85])). 1.26/0.60 tff(f85,plain,( 1.26/0.60 ! [X0 : map_int_int] : (inv1(X0) <=> (! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | ($less(10,X1) | $less(X1,1))) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))), 1.26/0.60 inference(ennf_transformation,[],[f58])). 1.26/0.60 tff(f58,plain,( 1.26/0.60 ! [X0 : map_int_int] : (inv1(X0) <=> (! [X1 : $int] : ((~$less(10,X1) & ~$less(X1,1)) => $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1)))))) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))), 1.26/0.60 inference(rectify,[],[f33])). 1.26/0.60 tff(f33,plain,( 1.26/0.60 ! [X3 : map_int_int] : (inv1(X3) <=> (tb2t1(get(int,int,t2tb(X3),t2tb1(a1))) = 0 & ! [X9 : $int] : ((~$less(X9,1) & ~$less(10,X9)) => $less(0,tb2t1(get(int,int,t2tb(X3),t2tb1($sum(a1,X9))))))))), 1.26/0.60 inference(theory_normalization,[],[f8])). 1.26/0.60 tff(f8,axiom,( 1.26/0.60 ! [X3 : map_int_int] : (inv1(X3) <=> (tb2t1(get(int,int,t2tb(X3),t2tb1(a1))) = 0 & ! [X9 : $int] : (($lesseq(1,X9) & $lesseq(X9,10)) => $less(0,tb2t1(get(int,int,t2tb(X3),t2tb1($sum(a1,X9))))))))), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f134,plain,( 1.26/0.60 inv1(sK0)), 1.26/0.60 inference(cnf_transformation,[],[f109])). 1.26/0.60 tff(f154,plain,( 1.26/0.60 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 1.26/0.60 inference(cnf_transformation,[],[f70])). 1.26/0.60 tff(f70,plain,( 1.26/0.60 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 1.26/0.60 inference(rectify,[],[f26])). 1.26/0.60 tff(f26,axiom,( 1.26/0.60 ! [X17 : uni] : t2tb1(tb2t1(X17)) = X17), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f413,plain,( 1.26/0.60 inv1(sK5) | 0 != tb2t1(get(int,int,t2tb(sK0),t2tb1(a1))) | a1 = $sum(-16,sK1)), 1.26/0.60 inference(superposition,[],[f408,f221])). 1.26/0.60 tff(f221,plain,( 1.26/0.60 ( ! [X0 : $int] : (get(int,int,t2tb(sK5),t2tb1(X0)) = get(int,int,t2tb(sK0),t2tb1(X0)) | $sum(-16,sK1) = X0) )), 1.26/0.60 inference(forward_demodulation,[],[f215,f154])). 1.26/0.60 tff(f215,plain,( 1.26/0.60 ( ! [X0 : $int] : (get(int,int,t2tb(sK5),t2tb1(X0)) = t2tb1(tb2t1(get(int,int,t2tb(sK0),t2tb1(X0)))) | $sum(-16,sK1) = X0) )), 1.26/0.60 inference(superposition,[],[f154,f180])). 1.26/0.60 tff(f180,plain,( 1.26/0.60 ( ! [X0 : $int] : (tb2t1(get(int,int,t2tb(sK5),t2tb1(X0))) = tb2t1(get(int,int,t2tb(sK0),t2tb1(X0))) | $sum(-16,sK1) = X0) )), 1.26/0.60 inference(superposition,[],[f141,f172])). 1.26/0.60 tff(f141,plain,( 1.26/0.60 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb(set2(X3,X2,X1)),t2tb1(X0))) = tb2t1(get(int,int,t2tb(X3),t2tb1(X0))) | X0 = X2) )), 1.26/0.60 inference(cnf_transformation,[],[f114])). 1.26/0.60 tff(f114,plain,( 1.26/0.60 ! [X0 : $int,X1 : $int,X2 : $int,X3 : map_int_int] : (tb2t1(get(int,int,t2tb(set2(X3,X2,X1)),t2tb1(X0))) = tb2t1(get(int,int,t2tb(X3),t2tb1(X0))) | X0 = X2)), 1.26/0.60 inference(rectify,[],[f84])). 1.26/0.60 tff(f84,plain,( 1.26/0.60 ! [X0 : $int,X3 : $int,X1 : $int,X2 : map_int_int] : (tb2t1(get(int,int,t2tb(set2(X2,X1,X3)),t2tb1(X0))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X0))) | X0 = X1)), 1.26/0.60 inference(ennf_transformation,[],[f60])). 1.26/0.60 tff(f60,plain,( 1.26/0.60 ! [X2 : map_int_int,X1 : $int,X3 : $int,X0 : $int] : (X0 != X1 => tb2t1(get(int,int,t2tb(set2(X2,X1,X3)),t2tb1(X0))) = tb2t1(get(int,int,t2tb(X2),t2tb1(X0))))), 1.26/0.60 inference(rectify,[],[f27])). 1.26/0.60 tff(f27,axiom,( 1.26/0.60 ! [X16 : $int,X8 : $int,X15 : map_int_int,X6 : $int] : (X8 != X16 => tb2t1(get(int,int,t2tb(set2(X15,X8,X6)),t2tb1(X16))) = tb2t1(get(int,int,t2tb(X15),t2tb1(X16))))), 1.26/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.26/0.60 tff(f408,plain,( 1.26/0.60 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) | inv1(sK5)), 1.26/0.60 inference(subsumption_resolution,[],[f407,f162])). 1.26/0.60 tff(f162,plain,( 1.26/0.60 ( ! [X0 : map_int_int] : (0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ~$less(10,sK6(X0)) | inv1(X0)) )), 1.26/0.60 inference(cnf_transformation,[],[f126])). 1.26/0.60 tff(f407,plain,( 1.26/0.60 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) | inv1(sK5) | $less(10,sK6(sK5))), 1.26/0.60 inference(subsumption_resolution,[],[f403,f161])). 1.26/0.60 tff(f161,plain,( 1.26/0.60 ( ! [X0 : map_int_int] : (0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | inv1(X0) | ~$less(sK6(X0),1)) )), 1.26/0.60 inference(cnf_transformation,[],[f126])). 1.26/0.60 tff(f403,plain,( 1.26/0.60 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) | inv1(sK5) | $less(10,sK6(sK5)) | $less(sK6(sK5),1)), 1.26/0.60 inference(resolution,[],[f402,f176])). 1.26/0.60 tff(f176,plain,( 1.26/0.60 ( ! [X0 : $int] : ($less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,X0))))) | $less(X0,1) | $less(10,X0)) )), 1.26/0.60 inference(resolution,[],[f134,f159])). 1.26/0.60 tff(f159,plain,( 1.26/0.60 ( ! [X2 : $int,X0 : map_int_int] : (~inv1(X0) | $less(10,X2) | $less(X2,1) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2)))))) )), 1.26/0.60 inference(cnf_transformation,[],[f126])). 1.26/0.60 tff(f402,plain,( 1.26/0.60 ~$less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,sK6(sK5)))))) | 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) | inv1(sK5)), 1.26/0.60 inference(subsumption_resolution,[],[f211,f192])). 1.26/0.60 tff(f192,plain,( 1.26/0.60 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1))) | $sum(-16,sK1) != $sum(a1,sK6(sK5)) | inv1(sK5)), 1.26/0.60 inference(evaluation,[],[f187])). 1.26/0.60 tff(f187,plain,( 1.26/0.60 inv1(sK5) | $sum(-16,sK1) != $sum(a1,sK6(sK5)) | ~$less(0,2) | 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1)))), 1.26/0.60 inference(superposition,[],[f163,f179])). 1.26/0.60 tff(f163,plain,( 1.26/0.60 ( ! [X0 : map_int_int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK6(X0)))))) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | inv1(X0)) )), 1.26/0.60 inference(cnf_transformation,[],[f126])). 1.26/0.60 tff(f211,plain,( 1.26/0.60 ~$less(0,tb2t1(get(int,int,t2tb(sK0),t2tb1($sum(a1,sK6(sK5)))))) | inv1(sK5) | $sum(-16,sK1) = $sum(a1,sK6(sK5)) | 0 != tb2t1(get(int,int,t2tb(sK5),t2tb1(a1)))), 1.26/0.60 inference(superposition,[],[f163,f180])). 1.26/0.60 % SZS output end Proof for theBenchmark 1.26/0.60 % (23239)------------------------------ 1.26/0.60 % (23239)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.26/0.60 % (23239)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.26/0.60 % (23239)Termination reason: Refutation 1.26/0.60 1.26/0.60 % (23239)Memory used [KB]: 1131 1.26/0.60 % (23239)Time elapsed: 0.017 s 1.26/0.60 % (23239)Instructions burned: 44 (million) 1.26/0.60 % (23239)------------------------------ 1.26/0.60 % (23239)------------------------------ 1.26/0.60 % (23214)Success in time 0.217 s 1.26/0.61 EOF