0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_vampire %s %d THM 0.10/0.31 % Computer : n024.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Wed Jul 30 07:06:34 EDT 2025 0.16/0.31 % CPUTime : 0.17/0.33 This is a TFF_ problem 0.17/0.33 Running first-order theorem proving 0.17/0.33 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29081)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1029815768:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29078)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=2647538708:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29082)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2150705592:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29079)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4066099009:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29080)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2813038830:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29083)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3927746299:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.17/0.41 % (29082)Instruction limit reached! 0.17/0.41 % (29082)------------------------------ 0.17/0.41 % (29082)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.41 % (29082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.41 % (29082)Termination reason: Instruction limit 0.17/0.41 % (29082)Termination phase: Preprocessing 3 0.17/0.41 0.17/0.41 % (29082)Time elapsed: 0.002 s 0.17/0.41 % (29082)Peak memory usage: 7 MB 0.17/0.41 % (29082)Instructions burned: 4 (million) 0.17/0.41 % (29081)Instruction limit reached! 0.17/0.41 % (29081)------------------------------ 0.17/0.41 % (29081)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.41 % (29081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.41 % (29081)Termination reason: Instruction limit 0.17/0.41 % (29081)Termination phase: Saturation 0.17/0.41 0.17/0.41 % (29081)Time elapsed: 0.004 s 0.17/0.41 % (29081)Peak memory usage: 8 MB 0.17/0.41 % (29081)Instructions burned: 9 (million) 0.17/0.41 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.41 % (29084)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4135982215:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.17/0.42 % (29078)Instruction limit reached! 0.17/0.42 % (29078)------------------------------ 0.17/0.42 % (29078)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.42 % (29078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.42 % (29078)Termination reason: Instruction limit 0.17/0.42 % (29078)Termination phase: Saturation 0.17/0.42 0.17/0.42 % (29078)Time elapsed: 0.012 s 0.17/0.42 % (29078)Peak memory usage: 26 MB 0.17/0.42 % (29078)Instructions burned: 13 (million) 0.17/0.44 % (29083)Instruction limit reached! 0.17/0.44 % (29083)------------------------------ 0.17/0.44 % (29083)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.44 % (29083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.44 % (29083)Termination reason: Instruction limit 0.17/0.44 % (29083)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (29083)Time elapsed: 0.033 s 0.17/0.44 % (29083)Peak memory usage: 29 MB 0.17/0.44 % (29083)Instructions burned: 47 (million) 0.17/0.44 % (29084)Instruction limit reached! 0.17/0.44 % (29084)------------------------------ 0.17/0.44 % (29084)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.44 % (29084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.44 % (29084)Termination reason: Instruction limit 0.17/0.44 % (29084)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (29084)Time elapsed: 0.024 s 0.17/0.44 % (29084)Peak memory usage: 28 MB 0.17/0.44 % (29084)Instructions burned: 34 (million) 0.17/0.48 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.48 % (29092)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=70174259:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1199 on theBenchmark for (1199ds/29Mi) 0.17/0.48 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.48 % (29091)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4269599970:st=5:i=14:sd=10:afp=4000:rtra=on:ss=axioms:rawr=on_1199 on theBenchmark for (1199ds/14Mi) 0.17/0.49 % (29091)Instruction limit reached! 0.17/0.49 % (29091)------------------------------ 0.17/0.49 % (29091)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.49 % (29091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.49 % (29091)Termination reason: Instruction limit 0.17/0.49 % (29091)Termination phase: Saturation 0.17/0.49 0.17/0.49 % (29091)Time elapsed: 0.008 s 0.17/0.49 % (29091)Peak memory usage: 8 MB 0.17/0.49 % (29091)Instructions burned: 15 (million) 0.17/0.49 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.49 % (29094)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3922208747:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_1199 on theBenchmark for (1199ds/16Mi) 0.17/0.50 % (29092)Instruction limit reached! 0.17/0.50 % (29092)------------------------------ 0.17/0.50 % (29092)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.50 % (29092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.50 % (29092)Termination reason: Instruction limit 0.17/0.50 % (29092)Termination phase: Saturation 0.17/0.50 0.17/0.50 % (29092)Time elapsed: 0.017 s 0.17/0.50 % (29092)Peak memory usage: 8 MB 0.17/0.50 % (29092)Instructions burned: 30 (million) 0.17/0.50 % (29080)Instruction limit reached! 0.17/0.50 % (29080)------------------------------ 0.17/0.50 % (29080)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.50 % (29080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.50 % (29080)Termination reason: Instruction limit 0.17/0.50 % (29080)Termination phase: Saturation 0.17/0.50 0.17/0.50 % (29080)Time elapsed: 0.095 s 0.17/0.50 % (29080)Peak memory usage: 29 MB 0.17/0.50 % (29080)Instructions burned: 201 (million) 0.17/0.50 % (29094)Instruction limit reached! 0.17/0.50 % (29094)------------------------------ 0.17/0.50 % (29094)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.50 % (29094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.50 % (29094)Termination reason: Instruction limit 0.17/0.50 % (29094)Termination phase: Saturation 0.17/0.50 0.17/0.50 % (29094)Time elapsed: 0.008 s 0.17/0.50 % (29094)Peak memory usage: 8 MB 0.17/0.50 % (29094)Instructions burned: 17 (million) 0.17/0.51 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.51 % (29095)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=901583489:i=24:canc=force:rtra=on_1198 on theBenchmark for (1198ds/24Mi) 0.17/0.51 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.51 % (29096)ott+1010_8_to=lpo:sil=128000:norm_ineq=on:si=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3669672813:i=27:canc=cautious:fsr=off:rtra=on:uhcvi=off_1198 on theBenchmark for (1198ds/27Mi) 0.17/0.52 % (29095)Instruction limit reached! 0.17/0.52 % (29095)------------------------------ 0.17/0.52 % (29095)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.52 % (29095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.52 % (29095)Termination reason: Instruction limit 0.17/0.52 % (29095)Termination phase: Saturation 0.17/0.52 0.17/0.52 % (29095)Time elapsed: 0.013 s 0.17/0.52 % (29095)Peak memory usage: 8 MB 0.17/0.52 % (29095)Instructions burned: 24 (million) 0.17/0.52 % (29096)Instruction limit reached! 0.17/0.52 % (29096)------------------------------ 0.17/0.52 % (29096)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.52 % (29096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.53 % (29096)Termination reason: Instruction limit 0.17/0.53 % (29096)Termination phase: Saturation 0.17/0.53 0.17/0.53 % (29096)Time elapsed: 0.015 s 0.17/0.53 % (29096)Peak memory usage: 9 MB 0.17/0.53 % (29096)Instructions burned: 27 (million) 0.17/0.56 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.56 % (29099)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3622576366:i=85:gtgl=4:rtra=on:gtg=exists_sym_1198 on theBenchmark for (1198ds/85Mi) 0.17/0.57 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.57 % (29101)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=726444055:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_1198 on theBenchmark for (1198ds/2Mi) 0.17/0.57 % (29101)Instruction limit reached! 0.17/0.57 % (29101)------------------------------ 0.17/0.57 % (29101)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.57 % (29101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.57 % (29101)Termination reason: Instruction limit 0.17/0.57 % (29101)Termination phase: Preprocessing 1 0.17/0.57 0.17/0.57 % (29101)Time elapsed: 0.001 s 0.17/0.57 % (29101)Peak memory usage: 7 MB 0.17/0.57 % (29101)Instructions burned: 2 (million) 0.17/0.57 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.57 % (29103)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2204192002:i=4:ep=RST:ins=2:rtra=on_1198 on theBenchmark for (1198ds/4Mi) 0.17/0.57 % (29076)Running in auto input_syntax mode. Trying TPTP 0.17/0.57 % (29102)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1254775146:i=181:rtra=on:ss=axioms:ev=cautious_1198 on theBenchmark for (1198ds/181Mi) 0.17/0.57 % (29103)Instruction limit reached! 0.17/0.57 % (29103)------------------------------ 0.17/0.57 % (29103)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.57 % (29103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.57 % (29103)Termination reason: Instruction limit 0.17/0.57 % (29103)Termination phase: Preprocessing 3 0.17/0.57 0.17/0.57 % (29103)Time elapsed: 0.002 s 0.17/0.57 % (29103)Peak memory usage: 7 MB 0.17/0.57 % (29103)Instructions burned: 4 (million) 0.17/0.58 % (29079)Instruction limit reached! 0.17/0.58 % (29079)------------------------------ 0.17/0.58 % (29079)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.17/0.58 % (29079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/0.58 % (29079)Termination reason: Instruction limit 0.17/0.58 % (29079)Termination phase: Saturation 0.17/0.58 0.17/0.58 % (29079)Time elapsed: 0.176 s 0.17/0.58 % (29079)Peak memory usage: 30 MB 0.17/0.58 % (29079)Instructions burned: 308 (million) 1.87/0.59 % (29076)Running in auto input_syntax mode. Trying TPTP 1.87/0.59 % (29106)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3411853669:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_1198 on theBenchmark for (1198ds/66Mi) 1.87/0.59 % (29076)Running in auto input_syntax mode. Trying TPTP 1.87/0.59 % (29107)lrs+10_1_thi=all:si=on:fd=off:random_seed=1744774003:i=53:rtra=on:gtg=all_1198 on theBenchmark for (1198ds/53Mi) 1.87/0.60 % (29099)Instruction limit reached! 1.87/0.60 % (29099)------------------------------ 1.87/0.60 % (29099)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.87/0.60 % (29099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.87/0.60 % (29099)Termination reason: Instruction limit 1.87/0.60 % (29099)Termination phase: Saturation 1.87/0.60 1.87/0.60 % (29099)Time elapsed: 0.041 s 1.87/0.60 % (29099)Peak memory usage: 9 MB 1.87/0.60 % (29099)Instructions burned: 85 (million) 2.05/0.63 % (29107)Instruction limit reached! 2.05/0.63 % (29107)------------------------------ 2.05/0.63 % (29107)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.63 % (29107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.63 % (29107)Termination reason: Instruction limit 2.05/0.63 % (29107)Termination phase: Saturation 2.05/0.63 2.05/0.63 % (29107)Time elapsed: 0.038 s 2.05/0.63 % (29107)Peak memory usage: 29 MB 2.05/0.63 % (29107)Instructions burned: 53 (million) 2.05/0.64 % (29106)Instruction limit reached! 2.05/0.64 % (29106)------------------------------ 2.05/0.64 % (29106)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.64 % (29106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.64 % (29106)Termination reason: Instruction limit 2.05/0.64 % (29106)Termination phase: Saturation 2.05/0.64 2.05/0.64 % (29106)Time elapsed: 0.049 s 2.05/0.64 % (29106)Peak memory usage: 46 MB 2.05/0.64 % (29106)Instructions burned: 67 (million) 2.05/0.64 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.64 % (29110)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3947687749:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_1197 on theBenchmark for (1197ds/8Mi) 2.05/0.64 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.64 % (29113)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3766970046:st=3:i=2:rtra=on:ss=axioms_1197 on theBenchmark for (1197ds/2Mi) 2.05/0.65 % (29113)Instruction limit reached! 2.05/0.65 % (29113)------------------------------ 2.05/0.65 % (29113)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.65 % (29113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.65 % (29113)Termination reason: Instruction limit 2.05/0.65 % (29113)Termination phase: Property scanning 2.05/0.65 2.05/0.65 % (29113)Time elapsed: 0.002 s 2.05/0.65 % (29113)Peak memory usage: 7 MB 2.05/0.65 % (29113)Instructions burned: 4 (million) 2.05/0.65 % (29110)Instruction limit reached! 2.05/0.65 % (29110)------------------------------ 2.05/0.65 % (29110)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.65 % (29110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.65 % (29110)Termination reason: Instruction limit 2.05/0.65 % (29110)Termination phase: Property scanning 2.05/0.65 2.05/0.65 % (29110)Time elapsed: 0.004 s 2.05/0.65 % (29110)Peak memory usage: 7 MB 2.05/0.65 % (29110)Instructions burned: 8 (million) 2.05/0.65 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.65 % (29114)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1353425914:i=2:doe=on:canc=force:asg=cautious:rtra=on_1197 on theBenchmark for (1197ds/2Mi) 2.05/0.66 % (29114)Instruction limit reached! 2.05/0.66 % (29114)------------------------------ 2.05/0.66 % (29114)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.66 % (29114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.66 % (29114)Termination reason: Instruction limit 2.05/0.66 % (29114)Termination phase: Preprocessing 3 2.05/0.66 2.05/0.66 % (29114)Time elapsed: 0.002 s 2.05/0.66 % (29114)Peak memory usage: 7 MB 2.05/0.66 % (29114)Instructions burned: 4 (million) 2.05/0.67 % (29102)Instruction limit reached! 2.05/0.67 % (29102)------------------------------ 2.05/0.67 % (29102)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.67 % (29102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.67 % (29102)Termination reason: Instruction limit 2.05/0.67 % (29102)Termination phase: Saturation 2.05/0.67 2.05/0.67 % (29102)Time elapsed: 0.098 s 2.05/0.67 % (29102)Peak memory usage: 10 MB 2.05/0.67 % (29102)Instructions burned: 181 (million) 2.05/0.67 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.67 % (29117)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=29953781:i=127:doe=on:rtra=on_1197 on theBenchmark for (1197ds/127Mi) 2.05/0.70 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.70 % (29118)dis+10_1_si=on:random_seed=1181689950:i=10:ep=R:rtra=on_1197 on theBenchmark for (1197ds/10Mi) 2.05/0.71 % (29118)Instruction limit reached! 2.05/0.71 % (29118)------------------------------ 2.05/0.71 % (29118)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.71 % (29118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.71 % (29118)Termination reason: Instruction limit 2.05/0.71 % (29118)Termination phase: Saturation 2.05/0.71 2.05/0.71 % (29118)Time elapsed: 0.005 s 2.05/0.71 % (29118)Peak memory usage: 8 MB 2.05/0.71 % (29118)Instructions burned: 10 (million) 2.05/0.71 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.71 % (29120)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2855990286:i=26:canc=cautious:av=off:rtra=on_1196 on theBenchmark for (1196ds/26Mi) 2.05/0.72 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.72 % (29122)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=61968737:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:sgt=32:ev=off_1196 on theBenchmark for (1196ds/35Mi) 2.05/0.72 % (29076)Running in auto input_syntax mode. Trying TPTP 2.05/0.72 % (29123)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3769611725:i=2:fsr=off:rtra=on:inst=on_1196 on theBenchmark for (1196ds/2Mi) 2.05/0.72 % (29123)Instruction limit reached! 2.05/0.72 % (29123)------------------------------ 2.05/0.72 % (29123)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.05/0.72 % (29123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.05/0.72 % (29123)Termination reason: Instruction limit 2.05/0.72 % (29123)Termination phase: Property scanning 2.05/0.72 2.05/0.72 % (29123)Time elapsed: 0.001 s 2.05/0.72 % (29123)Peak memory usage: 7 MB 2.05/0.72 % (29123)Instructions burned: 2 (million) 2.43/0.72 % (29076)Running in auto input_syntax mode. Trying TPTP 2.43/0.72 % (29125)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:abs=on:uwa=off:s2agt=16:random_seed=32892507:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_1196 on theBenchmark for (1196ds/8Mi) 2.43/0.73 % (29120)Instruction limit reached! 2.43/0.73 % (29120)------------------------------ 2.43/0.73 % (29120)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.43/0.73 % (29120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.43/0.73 % (29120)Termination reason: Instruction limit 2.43/0.73 % (29120)Termination phase: Saturation 2.43/0.73 2.43/0.73 % (29120)Time elapsed: 0.014 s 2.43/0.73 % (29120)Peak memory usage: 8 MB 2.43/0.73 % (29120)Instructions burned: 28 (million) 2.43/0.73 % (29125)Instruction limit reached! 2.43/0.73 % (29125)------------------------------ 2.43/0.73 % (29125)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.43/0.73 % (29125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.43/0.73 % (29125)Termination reason: Instruction limit 2.43/0.73 % (29125)Termination phase: Saturation 2.43/0.73 2.43/0.73 % (29125)Time elapsed: 0.004 s 2.43/0.73 % (29125)Peak memory usage: 7 MB 2.43/0.73 % (29125)Instructions burned: 8 (million) 2.43/0.73 % (29122)Instruction limit reached! 2.43/0.73 % (29122)------------------------------ 2.43/0.73 % (29122)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.43/0.73 % (29122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.43/0.73 % (29122)Termination reason: Instruction limit 2.43/0.73 % (29122)Termination phase: Saturation 2.43/0.73 2.43/0.73 % (29122)Time elapsed: 0.019 s 2.43/0.73 % (29122)Peak memory usage: 8 MB 2.43/0.73 % (29122)Instructions burned: 35 (million) 2.43/0.74 % (29076)Running in auto input_syntax mode. Trying TPTP 2.43/0.74 % (29126)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=607325042:i=370:ep=RS:fsr=off:rtra=on_1196 on theBenchmark for (1196ds/370Mi) 2.43/0.75 % (29117)Instruction limit reached! 2.43/0.75 % (29117)------------------------------ 2.43/0.75 % (29117)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.43/0.75 % (29117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.43/0.75 % (29117)Termination reason: Instruction limit 2.43/0.75 % (29117)Termination phase: Saturation 2.43/0.75 2.43/0.75 % (29117)Time elapsed: 0.079 s 2.43/0.75 % (29117)Peak memory usage: 30 MB 2.43/0.75 % (29117)Instructions burned: 127 (million) 2.43/0.78 % (29076)Running in auto input_syntax mode. Trying TPTP 2.43/0.78 % (29129)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3000000555:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_1196 on theBenchmark for (1196ds/13Mi) 2.83/0.79 % (29129)Instruction limit reached! 2.83/0.79 % (29129)------------------------------ 2.83/0.79 % (29129)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.83/0.79 % (29129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.83/0.79 % (29129)Termination reason: Instruction limit 2.83/0.79 % (29129)Termination phase: Saturation 2.83/0.79 2.83/0.79 % (29129)Time elapsed: 0.011 s 2.83/0.79 % (29129)Peak memory usage: 24 MB 2.83/0.79 % (29129)Instructions burned: 13 (million) 2.83/0.79 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.79 % (29133)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2105648414:i=226:rtra=on:gtg=position:ss=axioms_1196 on theBenchmark for (1196ds/226Mi) 2.83/0.79 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.79 % (29135)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=423659445:i=10:rtra=on_1196 on theBenchmark for (1196ds/10Mi) 2.83/0.79 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.79 % (29136)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3169442910:i=71:rtra=on:gtg=exists_top_1196 on theBenchmark for (1196ds/71Mi) 2.83/0.80 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.80 % (29137)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1150051476:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_1195 on theBenchmark for (1195ds/75Mi) 2.83/0.81 % (29135)Instruction limit reached! 2.83/0.81 % (29135)------------------------------ 2.83/0.81 % (29135)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.83/0.81 % (29135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.83/0.81 % (29135)Termination reason: Instruction limit 2.83/0.81 % (29135)Termination phase: Saturation 2.83/0.81 2.83/0.81 % (29135)Time elapsed: 0.013 s 2.83/0.81 % (29135)Peak memory usage: 8 MB 2.83/0.81 % (29135)Instructions burned: 40 (million) 2.83/0.81 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.81 % (29139)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3415863437:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1195 on theBenchmark for (1195ds/294Mi) 2.83/0.83 % (29137)Instruction limit reached! 2.83/0.83 % (29137)------------------------------ 2.83/0.83 % (29137)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.83/0.83 % (29137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.83/0.83 % (29137)Termination reason: Instruction limit 2.83/0.83 % (29137)Termination phase: Saturation 2.83/0.83 2.83/0.83 % (29137)Time elapsed: 0.029 s 2.83/0.83 % (29137)Peak memory usage: 9 MB 2.83/0.83 % (29137)Instructions burned: 76 (million) 2.83/0.83 % (29136)Instruction limit reached! 2.83/0.83 % (29136)------------------------------ 2.83/0.83 % (29136)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.83/0.83 % (29136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.83/0.83 % (29136)Termination reason: Instruction limit 2.83/0.83 % (29136)Termination phase: Saturation 2.83/0.83 2.83/0.83 % (29136)Time elapsed: 0.037 s 2.83/0.83 % (29136)Peak memory usage: 45 MB 2.83/0.83 % (29136)Instructions burned: 71 (million) 2.83/0.83 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.83 % (29141)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2679748857:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_1195 on theBenchmark for (1195ds/130Mi) 2.83/0.85 % (29076)Running in auto input_syntax mode. Trying TPTP 2.83/0.85 % (29146)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:abs=on:tha=off:nwc=3:random_seed=719048961:i=131:rtra=on_1195 on theBenchmark for (1195ds/131Mi) 3.19/0.87 % (29126)Instruction limit reached! 3.19/0.87 % (29126)------------------------------ 3.19/0.87 % (29126)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.19/0.87 % (29126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.19/0.87 % (29126)Termination reason: Instruction limit 3.19/0.87 % (29126)Termination phase: Saturation 3.19/0.87 3.19/0.87 % (29126)Time elapsed: 0.122 s 3.19/0.87 % (29126)Peak memory usage: 11 MB 3.19/0.87 % (29126)Instructions burned: 373 (million) 3.39/0.87 % (29076)Running in auto input_syntax mode. Trying TPTP 3.39/0.87 % (29148)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3533651674:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_1195 on theBenchmark for (1195ds/40Mi) 3.39/0.87 % (29076)Running in auto input_syntax mode. Trying TPTP 3.39/0.87 % (29151)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1613524304:i=307:rtra=on:gtg=exists_top_1195 on theBenchmark for (1195ds/307Mi) 3.39/0.88 % (29133)Instruction limit reached! 3.39/0.88 % (29133)------------------------------ 3.39/0.88 % (29133)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.39/0.88 % (29133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.39/0.88 % (29133)Termination reason: Instruction limit 3.39/0.88 % (29133)Termination phase: Saturation 3.39/0.88 3.39/0.88 % (29133)Time elapsed: 0.082 s 3.39/0.88 % (29133)Peak memory usage: 30 MB 3.39/0.88 % (29133)Instructions burned: 226 (million) 3.39/0.89 % (29141)Instruction limit reached! 3.39/0.89 % (29141)------------------------------ 3.39/0.89 % (29141)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.39/0.89 % (29141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.39/0.89 % (29141)Termination reason: Instruction limit 3.39/0.89 % (29141)Termination phase: Saturation 3.39/0.89 3.39/0.89 % (29141)Time elapsed: 0.052 s 3.39/0.89 % (29141)Peak memory usage: 30 MB 3.39/0.89 % (29141)Instructions burned: 131 (million) 3.39/0.90 % (29148)Instruction limit reached! 3.39/0.90 % (29148)------------------------------ 3.39/0.90 % (29148)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.39/0.90 % (29148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.39/0.90 % (29148)Termination reason: Instruction limit 3.39/0.90 % (29148)Termination phase: Saturation 3.39/0.90 3.39/0.90 % (29148)Time elapsed: 0.025 s 3.39/0.90 % (29148)Peak memory usage: 46 MB 3.39/0.90 % (29148)Instructions burned: 40 (million) 3.72/0.91 % (29146)Instruction limit reached! 3.72/0.91 % (29146)------------------------------ 3.72/0.91 % (29146)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.72/0.91 % (29146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.72/0.91 % (29146)Termination reason: Instruction limit 3.72/0.91 % (29146)Termination phase: Saturation 3.72/0.91 3.72/0.91 % (29146)Time elapsed: 0.057 s 3.72/0.91 % (29146)Peak memory usage: 47 MB 3.72/0.91 % (29146)Instructions burned: 133 (million) 3.72/0.91 % (29076)Running in auto input_syntax mode. Trying TPTP 3.72/0.91 % (29165)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=207786455:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_1194 on theBenchmark for (1194ds/598Mi) 3.72/0.92 % (29139)Instruction limit reached! 3.72/0.92 % (29139)------------------------------ 3.72/0.92 % (29139)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.72/0.92 % (29139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.72/0.92 % (29139)Termination reason: Instruction limit 3.72/0.92 % (29139)Termination phase: Saturation 3.72/0.92 3.72/0.92 % (29139)Time elapsed: 0.103 s 3.72/0.92 % (29139)Peak memory usage: 11 MB 3.72/0.92 % (29139)Instructions burned: 294 (million) 3.72/0.92 % (29076)Running in auto input_syntax mode. Trying TPTP 3.72/0.92 % (29172)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2476940900:i=131:canc=cautious:fsr=off:rtra=on_1194 on theBenchmark for (1194ds/131Mi) 3.99/0.93 % (29076)Running in auto input_syntax mode. Trying TPTP 3.99/0.93 % (29176)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=3840885641:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_1194 on theBenchmark for (1194ds/259Mi) 3.99/0.94 % (29076)Running in auto input_syntax mode. Trying TPTP 3.99/0.94 % (29181)dis+10_1_si=on:random_seed=4260192741:s2a=on:i=1000:rtra=on:gtg=exists_all_1194 on theBenchmark for (1194ds/1000Mi) 3.99/0.95 % (29076)Running in auto input_syntax mode. Trying TPTP 3.99/0.95 % (29186)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=4026191392:i=383:fsr=off:rtra=on:ev=force_1194 on theBenchmark for (1194ds/383Mi) 3.99/0.96 % (29076)Running in auto input_syntax mode. Trying TPTP 3.99/0.96 % (29190)lrs+10_1_to=kbo:sil=64000:norm_ineq=on:si=on:sp=unary_frequency:random_seed=2386275405:i=141:doe=on:rtra=on_1194 on theBenchmark for (1194ds/141Mi) 3.99/0.96 % (29151)Instruction limit reached! 3.99/0.96 % (29151)------------------------------ 3.99/0.96 % (29151)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.99/0.96 % (29151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.99/0.96 % (29151)Termination reason: Instruction limit 3.99/0.96 % (29151)Termination phase: Saturation 3.99/0.96 3.99/0.96 % (29151)Time elapsed: 0.086 s 3.99/0.96 % (29151)Peak memory usage: 12 MB 3.99/0.96 % (29151)Instructions burned: 308 (million) 3.99/0.97 % (29172)Instruction limit reached! 3.99/0.97 % (29172)------------------------------ 3.99/0.97 % (29172)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.99/0.97 % (29172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.99/0.97 % (29172)Termination reason: Instruction limit 3.99/0.97 % (29172)Termination phase: Saturation 3.99/0.97 3.99/0.97 % (29172)Time elapsed: 0.049 s 3.99/0.97 % (29172)Peak memory usage: 29 MB 3.99/0.97 % (29172)Instructions burned: 133 (million) 3.99/1.00 % (29076)Running in auto input_syntax mode. Trying TPTP 3.99/1.00 % (29215)lrs+10_1024_to=kbo:sil=128000:norm_ineq=on:fde=unused:sas=z3:si=on:sos=on:tha=off:random_seed=482493753:i=65:nm=16:rtra=on_1193 on theBenchmark for (1193ds/65Mi) 3.99/1.01 % (29190)Instruction limit reached! 3.99/1.01 % (29190)------------------------------ 3.99/1.01 % (29190)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.99/1.01 % (29190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.99/1.01 % (29190)Termination reason: Instruction limit 3.99/1.01 % (29190)Termination phase: Saturation 3.99/1.01 3.99/1.01 % (29190)Time elapsed: 0.049 s 3.99/1.01 % (29190)Peak memory usage: 10 MB 3.99/1.01 % (29190)Instructions burned: 144 (million) 3.99/1.01 % (29076)Running in auto input_syntax mode. Trying TPTP 3.99/1.01 % (29219)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1864056372:i=121:nm=16:rtra=on_1193 on theBenchmark for (1193ds/121Mi) 4.30/1.02 % (29176)Instruction limit reached! 4.30/1.02 % (29176)------------------------------ 4.30/1.02 % (29176)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.30/1.02 % (29176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.30/1.02 % (29176)Termination reason: Instruction limit 4.30/1.02 % (29176)Termination phase: Saturation 4.30/1.02 4.30/1.02 % (29176)Time elapsed: 0.090 s 4.30/1.02 % (29176)Peak memory usage: 30 MB 4.30/1.02 % (29176)Instructions burned: 259 (million) 4.30/1.03 % (29215)Instruction limit reached! 4.30/1.03 % (29215)------------------------------ 4.30/1.03 % (29215)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.30/1.03 % (29215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.30/1.03 % (29215)Termination reason: Instruction limit 4.30/1.03 % (29215)Termination phase: Saturation 4.30/1.03 4.30/1.03 % (29215)Time elapsed: 0.029 s 4.30/1.03 % (29215)Peak memory usage: 29 MB 4.30/1.03 % (29215)Instructions burned: 66 (million) 4.30/1.05 % (29219)Instruction limit reached! 4.30/1.05 % (29219)------------------------------ 4.30/1.05 % (29219)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.30/1.05 % (29219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.30/1.05 % (29219)Termination reason: Instruction limit 4.30/1.05 % (29219)Termination phase: Saturation 4.30/1.05 4.30/1.05 % (29219)Time elapsed: 0.041 s 4.30/1.05 % (29219)Peak memory usage: 9 MB 4.30/1.05 % (29219)Instructions burned: 121 (million) 4.30/1.05 % (29076)Running in auto input_syntax mode. Trying TPTP 4.30/1.05 % (29234)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=2214236426:s2a=on:i=128:s2at=5:ins=3:rtra=on_1193 on theBenchmark for (1193ds/128Mi) 4.30/1.06 % (29076)Running in auto input_syntax mode. Trying TPTP 4.30/1.06 % (29240)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=992220589:i=39:ins=3:rtra=on_1193 on theBenchmark for (1193ds/39Mi) 4.30/1.07 % (29076)Running in auto input_syntax mode. Trying TPTP 4.30/1.07 % (29242)dis+1010_1_to=kbo:si=on:random_seed=3102826389:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_1193 on theBenchmark for (1193ds/175Mi) 4.30/1.08 % (29186)Instruction limit reached! 4.30/1.08 % (29186)------------------------------ 4.30/1.08 % (29186)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.30/1.08 % (29186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.30/1.08 % (29186)Termination reason: Instruction limit 4.30/1.08 % (29186)Termination phase: Saturation 4.30/1.08 4.30/1.08 % (29186)Time elapsed: 0.129 s 4.30/1.08 % (29186)Peak memory usage: 12 MB 4.30/1.08 % (29186)Instructions burned: 386 (million) 4.30/1.08 % (29240)Instruction limit reached! 4.30/1.08 % (29240)------------------------------ 4.30/1.08 % (29240)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.30/1.08 % (29240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.30/1.08 % (29240)Termination reason: Instruction limit 4.30/1.08 % (29240)Termination phase: Saturation 4.30/1.08 4.30/1.08 % (29240)Time elapsed: 0.022 s 4.30/1.08 % (29240)Peak memory usage: 29 MB 4.30/1.08 % (29240)Instructions burned: 41 (million) 4.82/1.09 % (29076)Running in auto input_syntax mode. Trying TPTP 4.82/1.09 % (29255)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3819728859:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1192 on theBenchmark for (1192ds/329Mi) 4.82/1.10 % (29234)Instruction limit reached! 4.82/1.10 % (29234)------------------------------ 4.82/1.10 % (29234)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.82/1.10 % (29234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.82/1.10 % (29234)Termination reason: Instruction limit 4.82/1.10 % (29234)Termination phase: Saturation 4.82/1.10 4.82/1.10 % (29234)Time elapsed: 0.052 s 4.82/1.10 % (29234)Peak memory usage: 29 MB 4.82/1.10 % (29234)Instructions burned: 130 (million) 4.82/1.11 % (29165)Instruction limit reached! 4.82/1.11 % (29165)------------------------------ 4.82/1.11 % (29165)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.82/1.11 % (29165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.82/1.11 % (29165)Termination reason: Instruction limit 4.82/1.11 % (29165)Termination phase: Saturation 4.82/1.11 4.82/1.11 % (29165)Time elapsed: 0.200 s 4.82/1.11 % (29165)Peak memory usage: 52 MB 4.82/1.11 % (29165)Instructions burned: 600 (million) 4.82/1.12 % (29076)Running in auto input_syntax mode. Trying TPTP 4.82/1.12 % (29271)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1410103726:s2a=on:i=483:doe=on:nm=32:rtra=on_1192 on theBenchmark for (1192ds/483Mi) 4.82/1.12 % (29076)Running in auto input_syntax mode. Trying TPTP 4.82/1.12 % (29277)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=161424628:thitd=on:i=215:nm=0:rtra=on:ev=force_1192 on theBenchmark for (1192ds/215Mi) 4.82/1.14 % (29242)Instruction limit reached! 4.82/1.14 % (29242)------------------------------ 4.82/1.14 % (29242)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.82/1.14 % (29242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.82/1.14 % (29242)Termination reason: Instruction limit 4.82/1.14 % (29242)Termination phase: Saturation 4.82/1.14 4.82/1.14 % (29242)Time elapsed: 0.063 s 4.82/1.14 % (29242)Peak memory usage: 10 MB 4.82/1.14 % (29242)Instructions burned: 175 (million) 4.82/1.15 % (29076)Running in auto input_syntax mode. Trying TPTP 4.82/1.15 % (29291)lrs+1011_1_to=kbo:sil=128000:norm_ineq=on:sas=z3:si=on:sp=unary_frequency:tha=off:random_seed=3740731966:i=349:rtra=on_1192 on theBenchmark for (1192ds/349Mi) 4.82/1.15 % (29076)Running in auto input_syntax mode. Trying TPTP 4.82/1.15 % (29294)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=3248058485:st=2:i=295:rtra=on:ss=axioms_1192 on theBenchmark for (1192ds/295Mi) 5.98/1.18 % (29076)Running in auto input_syntax mode. Trying TPTP 5.98/1.18 % (29312)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:abs=on:nwc=5:br=off:random_seed=2219682938:i=328:kws=inv_frequency:nm=20:rtra=on_1191 on theBenchmark for (1191ds/328Mi) 6.04/1.19 % (29255)Instruction limit reached! 6.04/1.19 % (29255)------------------------------ 6.04/1.19 % (29255)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.04/1.19 % (29255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.04/1.19 % (29255)Termination reason: Instruction limit 6.04/1.19 % (29255)Termination phase: Saturation 6.04/1.19 6.04/1.19 % (29255)Time elapsed: 0.099 s 6.04/1.19 % (29255)Peak memory usage: 30 MB 6.04/1.19 % (29255)Instructions burned: 331 (million) 6.04/1.20 % (29277)Instruction limit reached! 6.04/1.20 % (29277)------------------------------ 6.04/1.20 % (29277)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.04/1.20 % (29277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.04/1.20 % (29277)Termination reason: Instruction limit 6.04/1.20 % (29277)Termination phase: Saturation 6.04/1.20 6.04/1.20 % (29277)Time elapsed: 0.072 s 6.04/1.20 % (29277)Peak memory usage: 47 MB 6.04/1.20 % (29277)Instructions burned: 215 (million) 6.23/1.22 % (29181)Instruction limit reached! 6.23/1.22 % (29181)------------------------------ 6.23/1.22 % (29181)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.23/1.22 % (29181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.23/1.22 % (29181)Termination reason: Instruction limit 6.23/1.22 % (29181)Termination phase: Saturation 6.23/1.22 6.23/1.22 % (29181)Time elapsed: 0.279 s 6.23/1.22 % (29181)Peak memory usage: 13 MB 6.23/1.22 % (29181)Instructions burned: 1001 (million) 6.28/1.23 % (29294)Instruction limit reached! 6.28/1.23 % (29294)------------------------------ 6.28/1.23 % (29294)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.28/1.23 % (29294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.28/1.23 % (29294)Termination reason: Instruction limit 6.28/1.23 % (29294)Termination phase: Saturation 6.28/1.23 6.28/1.23 % (29294)Time elapsed: 0.078 s 6.28/1.23 % (29294)Peak memory usage: 10 MB 6.28/1.23 % (29294)Instructions burned: 295 (million) 6.28/1.23 % (29076)Running in auto input_syntax mode. Trying TPTP 6.28/1.23 % (29336)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=1789361829:i=281:gtgl=2:rtra=on:gtg=all_1191 on theBenchmark for (1191ds/281Mi) 6.28/1.24 % (29076)Running in auto input_syntax mode. Trying TPTP 6.28/1.24 % (29341)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=3501316408:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_1191 on theBenchmark for (1191ds/484Mi) 6.28/1.26 % (29076)Running in auto input_syntax mode. Trying TPTP 6.28/1.26 % (29349)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=3984073222:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_1191 on theBenchmark for (1191ds/321Mi) 6.28/1.27 % (29291)Instruction limit reached! 6.28/1.27 % (29291)------------------------------ 6.28/1.27 % (29291)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.28/1.27 % (29291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.28/1.27 % (29291)Termination reason: Instruction limit 6.28/1.27 % (29291)Termination phase: Saturation 6.28/1.27 6.28/1.27 % (29291)Time elapsed: 0.120 s 6.28/1.27 % (29291)Peak memory usage: 31 MB 6.28/1.27 % (29291)Instructions burned: 350 (million) 6.28/1.27 % (29076)Running in auto input_syntax mode. Trying TPTP 6.28/1.27 % (29353)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=207449096:i=416:rtra=on:gtg=position:ss=axioms_1191 on theBenchmark for (1191ds/416Mi) 6.28/1.29 % (29312)Instruction limit reached! 6.28/1.29 % (29312)------------------------------ 6.28/1.29 % (29312)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.28/1.29 % (29312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.28/1.29 % (29312)Termination reason: Instruction limit 6.28/1.29 % (29312)Termination phase: Saturation 6.28/1.29 6.28/1.29 % (29312)Time elapsed: 0.106 s 6.28/1.29 % (29312)Peak memory usage: 29 MB 6.28/1.29 % (29312)Instructions burned: 329 (million) 6.28/1.30 % (29271)Instruction limit reached! 6.28/1.30 % (29271)------------------------------ 6.28/1.30 % (29271)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.28/1.30 % (29271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.28/1.30 % (29271)Termination reason: Instruction limit 6.28/1.30 % (29271)Termination phase: Saturation 6.28/1.30 6.28/1.30 % (29271)Time elapsed: 0.174 s 6.28/1.30 % (29271)Peak memory usage: 48 MB 6.28/1.30 % (29271)Instructions burned: 483 (million) 6.50/1.31 % (29076)Running in auto input_syntax mode. Trying TPTP 6.50/1.31 % (29372)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=112918923:i=471:thf=on:kws=precedence:rtra=on_1190 on theBenchmark for (1190ds/471Mi) 6.50/1.33 % (29076)Running in auto input_syntax mode. Trying TPTP 6.50/1.33 % (29379)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=2840798398:avsq=on:i=276:avsqr=1,2:rtra=on_1190 on theBenchmark for (1190ds/276Mi) 6.50/1.33 % (29336)Instruction limit reached! 6.50/1.33 % (29336)------------------------------ 6.50/1.33 % (29336)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.50/1.33 % (29336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.50/1.33 % (29336)Termination reason: Instruction limit 6.50/1.33 % (29336)Termination phase: Saturation 6.50/1.33 6.50/1.33 % (29336)Time elapsed: 0.100 s 6.50/1.33 % (29336)Peak memory usage: 30 MB 6.50/1.33 % (29336)Instructions burned: 282 (million) 6.50/1.34 % (29076)Running in auto input_syntax mode. Trying TPTP 6.50/1.34 % (29382)lrs+1010_2_to=kbo:sil=128000:tgt=ground:fde=unused:sas=z3:si=on:uwa=off:tha=off:nwc=1:random_seed=2273671821:i=375:kws=inv_arity_squared:rtra=on_1190 on theBenchmark for (1190ds/375Mi) 6.50/1.34 % (29349)Instruction limit reached! 6.50/1.34 % (29349)------------------------------ 6.50/1.34 % (29349)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.50/1.34 % (29349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.50/1.34 % (29349)Termination reason: Instruction limit 6.50/1.34 % (29349)Termination phase: Saturation 6.50/1.34 6.50/1.34 % (29349)Time elapsed: 0.079 s 6.50/1.34 % (29349)Peak memory usage: 29 MB 6.50/1.34 % (29349)Instructions burned: 325 (million) 6.50/1.38 % (29341)Instruction limit reached! 6.50/1.38 % (29341)------------------------------ 6.50/1.38 % (29341)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.50/1.38 % (29341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.50/1.38 % (29341)Termination reason: Instruction limit 6.50/1.38 % (29341)Termination phase: Saturation 6.50/1.38 6.50/1.38 % (29341)Time elapsed: 0.136 s 6.50/1.38 % (29341)Peak memory usage: 15 MB 6.50/1.38 % (29341)Instructions burned: 486 (million) 6.50/1.38 % (29076)Running in auto input_syntax mode. Trying TPTP 6.50/1.38 % (29400)lrs+10_1_to=kbo:sil=128000:tgt=full:sas=z3:si=on:uwa=func_ext:slsqc=1:flr=on:slsq=on:random_seed=3731444874:i=387:bd=preordered:rtra=on:ss=axioms:sgt=8_1189 on theBenchmark for (1189ds/387Mi) 6.77/1.38 % (29076)Running in auto input_syntax mode. Trying TPTP 6.77/1.38 % (29403)lrs+10_1_to=kbo:sil=128000:norm_ineq=on:fde=none:si=on:urr=on:nwc=0.5:random_seed=1179404442:i=513:kws=frequency:bd=all:rtra=on:gtg=exists_all:ss=axioms:sgt=4_1189 on theBenchmark for (1189ds/513Mi) 6.77/1.40 % (29353)Instruction limit reached! 6.77/1.40 % (29353)------------------------------ 6.77/1.40 % (29353)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.77/1.40 % (29353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.77/1.40 % (29353)Termination reason: Instruction limit 6.77/1.40 % (29353)Termination phase: Saturation 6.77/1.40 6.77/1.40 % (29353)Time elapsed: 0.127 s 6.77/1.40 % (29353)Peak memory usage: 32 MB 6.77/1.40 % (29353)Instructions burned: 416 (million) 6.77/1.42 % (29076)Running in auto input_syntax mode. Trying TPTP 6.77/1.42 % (29426)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:abs=on:tha=off:nwc=3:random_seed=3255416074:i=334:rtra=on_1189 on theBenchmark for (1189ds/334Mi) 6.77/1.44 % (29076)Running in auto input_syntax mode. Trying TPTP 6.77/1.44 % (29441)lrs+1010_1_to=kbo:sil=64000:sas=cadical:si=on:sos=on:bce=on:random_seed=1822579441:i=359:rtra=on:gtg=exists_top:ss=axioms_1189 on theBenchmark for (1189ds/359Mi) 6.77/1.45 % (29379)Instruction limit reached! 6.77/1.45 % (29379)------------------------------ 6.77/1.45 % (29379)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.77/1.45 % (29379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.77/1.45 % (29379)Termination reason: Instruction limit 6.77/1.45 % (29379)Termination phase: Saturation 6.77/1.45 6.77/1.45 % (29379)Time elapsed: 0.115 s 6.77/1.45 % (29379)Peak memory usage: 47 MB 6.77/1.45 % (29379)Instructions burned: 278 (million) 7.28/1.47 % (29382)Instruction limit reached! 7.28/1.47 % (29382)------------------------------ 7.28/1.47 % (29382)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.28/1.47 % (29382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.28/1.47 % (29382)Termination reason: Instruction limit 7.28/1.47 % (29382)Termination phase: Saturation 7.28/1.47 7.28/1.47 % (29382)Time elapsed: 0.132 s 7.28/1.47 % (29382)Peak memory usage: 31 MB 7.28/1.47 % (29382)Instructions burned: 377 (million) 7.28/1.48 % (29372)Instruction limit reached! 7.28/1.48 % (29372)------------------------------ 7.28/1.48 % (29372)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.28/1.48 % (29372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.28/1.48 % (29372)Termination reason: Instruction limit 7.28/1.48 % (29372)Termination phase: Saturation 7.28/1.48 7.28/1.48 % (29372)Time elapsed: 0.166 s 7.28/1.48 % (29372)Peak memory usage: 32 MB 7.28/1.48 % (29372)Instructions burned: 472 (million) 7.66/1.49 % (29076)Running in auto input_syntax mode. Trying TPTP 7.66/1.49 % (29448)dis+1010_1_to=lpo:sil=128000:thi=all:fde=unused:si=on:sp=reverse_arity:tha=off:random_seed=1545896916:i=341:gtgl=2:rtra=on:gtg=exists_sym:fsd=on:ev=force:fsdmm=1_1188 on theBenchmark for (1188ds/341Mi) 7.66/1.51 % (29400)Instruction limit reached! 7.66/1.51 % (29400)------------------------------ 7.66/1.51 % (29400)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.66/1.51 % (29400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.66/1.51 % (29400)Termination reason: Instruction limit 7.66/1.51 % (29400)Termination phase: Saturation 7.66/1.51 7.66/1.51 % (29400)Time elapsed: 0.133 s 7.66/1.51 % (29400)Peak memory usage: 31 MB 7.66/1.51 % (29400)Instructions burned: 387 (million) 7.85/1.51 % (29076)Running in auto input_syntax mode. Trying TPTP 7.85/1.51 % (29449)lrs-2_1_to=kbo:sil=64000:tgt=ground:sas=z3:si=on:sp=const_max:tha=off:random_seed=2934640405:st=1.5:i=261:sd=1:kws=precedence:rtra=on:ss=axioms_1188 on theBenchmark for (1188ds/261Mi) 7.85/1.52 % (29076)Running in auto input_syntax mode. Trying TPTP 7.85/1.52 % (29450)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=4076994206:s2pl=no:i=235:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_1188 on theBenchmark for (1188ds/235Mi) 7.85/1.54 % (29426)Instruction limit reached! 7.85/1.54 % (29426)------------------------------ 7.85/1.54 % (29426)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.85/1.54 % (29426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.85/1.54 % (29426)Termination reason: Instruction limit 7.85/1.54 % (29426)Termination phase: Saturation 7.85/1.54 7.85/1.54 % (29426)Time elapsed: 0.125 s 7.85/1.54 % (29426)Peak memory usage: 49 MB 7.85/1.54 % (29426)Instructions burned: 336 (million) 7.85/1.55 % (29403)Instruction limit reached! 7.85/1.55 % (29403)------------------------------ 7.85/1.55 % (29403)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.85/1.55 % (29403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.85/1.55 % (29403)Termination reason: Instruction limit 7.85/1.55 % (29403)Termination phase: Saturation 7.85/1.55 7.85/1.55 % (29403)Time elapsed: 0.162 s 7.85/1.55 % (29403)Peak memory usage: 12 MB 7.85/1.55 % (29403)Instructions burned: 515 (million) 7.85/1.55 % (29441)Instruction limit reached! 7.85/1.55 % (29441)------------------------------ 7.85/1.55 % (29441)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.85/1.55 % (29441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.85/1.55 % (29441)Termination reason: Instruction limit 7.85/1.55 % (29441)Termination phase: Saturation 7.85/1.55 7.85/1.55 % (29441)Time elapsed: 0.105 s 7.85/1.55 % (29441)Peak memory usage: 11 MB 7.85/1.55 % (29441)Instructions burned: 361 (million) 7.85/1.55 % (29076)Running in auto input_syntax mode. Trying TPTP 7.85/1.55 % (29452)dis+1011_2_to=kbo:sil=128000:tgt=full:irw=on:si=on:sp=unary_frequency:gve=cautious:nwc=5.53:random_seed=157441714:i=273:kws=precedence:canc=cautious:nm=10:rtra=on:tar=off:rawr=on_1188 on theBenchmark for (1188ds/273Mi) 7.85/1.59 % (29076)Running in auto input_syntax mode. Trying TPTP 7.85/1.59 % (29455)lrs+10_1_to=kbo:sil=64000:norm_ineq=on:si=on:sp=unary_frequency:random_seed=4149520500:i=146:doe=on:rtra=on_1187 on theBenchmark for (1187ds/146Mi) 7.85/1.59 % (29076)Running in auto input_syntax mode. Trying TPTP 7.85/1.59 % (29456)dis+11_1_slsqr=1,2:to=lpo:norm_ineq=on:plsq=on:si=on:slsq=on:random_seed=1828527379:i=4428:doe=on:fsr=off:rtra=on_1187 on theBenchmark for (1187ds/4428Mi) 7.85/1.59 % (29076)Running in auto input_syntax mode. Trying TPTP 7.85/1.59 % (29457)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=853912421:avsq=on:i=276:avsqr=1,2:rtra=on_1187 on theBenchmark for (1187ds/276Mi) 7.85/1.60 % (29450)Instruction limit reached! 7.85/1.60 % (29450)------------------------------ 7.85/1.60 % (29450)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.85/1.60 % (29450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.85/1.60 % (29450)Termination reason: Instruction limit 7.85/1.60 % (29450)Termination phase: Saturation 7.85/1.60 7.85/1.60 % (29450)Time elapsed: 0.083 s 7.85/1.60 % (29450)Peak memory usage: 30 MB 7.85/1.60 % (29450)Instructions burned: 236 (million) 7.85/1.60 % (29449)Instruction limit reached! 7.85/1.60 % (29449)------------------------------ 7.85/1.60 % (29449)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.85/1.60 % (29449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.85/1.60 % (29449)Termination reason: Instruction limit 7.85/1.60 % (29449)Termination phase: Saturation 7.85/1.60 7.85/1.60 % (29449)Time elapsed: 0.089 s 7.85/1.60 % (29449)Peak memory usage: 30 MB 7.85/1.60 % (29449)Instructions burned: 261 (million) 8.63/1.61 % (29448)Instruction limit reached! 8.63/1.61 % (29448)------------------------------ 8.63/1.61 % (29448)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.63/1.61 % (29448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.63/1.61 % (29448)Termination reason: Instruction limit 8.63/1.61 % (29448)Termination phase: Saturation 8.63/1.61 8.63/1.61 % (29448)Time elapsed: 0.124 s 8.63/1.61 % (29448)Peak memory usage: 32 MB 8.63/1.61 % (29448)Instructions burned: 342 (million) 8.63/1.64 % (29455)Instruction limit reached! 8.63/1.64 % (29455)------------------------------ 8.63/1.64 % (29455)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.63/1.64 % (29455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.63/1.64 % (29455)Termination reason: Instruction limit 8.63/1.64 % (29455)Termination phase: Saturation 8.63/1.64 8.63/1.64 % (29455)Time elapsed: 0.050 s 8.63/1.64 % (29455)Peak memory usage: 10 MB 8.63/1.64 % (29455)Instructions burned: 148 (million) 8.63/1.65 % (29076)Running in auto input_syntax mode. Trying TPTP 8.63/1.65 % (29463)lrs+1011_12_to=kbo:tgt=ground:si=on:gve=force:acc=on:tha=off:random_seed=3569250817:i=655:kws=inv_arity_squared:rtra=on:gtg=exists_sym_1187 on theBenchmark for (1187ds/655Mi) 8.63/1.65 % (29076)Running in auto input_syntax mode. Trying TPTP 8.63/1.65 % (29462)dis+1011_1_to=kbo:sil=128000:tgt=full:si=on:spb=intro:lsd=50:tha=some:fd=preordered:sac=on:random_seed=3563767664:i=1052:rtra=on_1187 on theBenchmark for (1187ds/1052Mi) 8.63/1.65 % (29452)Instruction limit reached! 8.63/1.65 % (29452)------------------------------ 8.63/1.65 % (29452)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.63/1.65 % (29452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.63/1.65 % (29452)Termination reason: Instruction limit 8.63/1.65 % (29452)Termination phase: Saturation 8.63/1.65 8.63/1.65 % (29452)Time elapsed: 0.094 s 8.63/1.65 % (29452)Peak memory usage: 11 MB 8.63/1.65 % (29452)Instructions burned: 275 (million) 8.63/1.65 % (29076)Running in auto input_syntax mode. Trying TPTP 8.63/1.65 % (29464)dis+1011_14_to=kbo:tgt=ground:drc=ordering:fde=none:si=on:uwa=func_ext:tha=off:random_seed=394724534:st=5:i=1054:nm=32:av=off:rtra=on:ss=axioms:ev=cautious_1187 on theBenchmark for (1187ds/1054Mi) 8.63/1.68 % (29076)Running in auto input_syntax mode. Trying TPTP 8.63/1.68 % (29465)lrs-1002_1_to=kbo:norm_ineq=on:sas=z3:si=on:sos=on:tha=some:random_seed=3806031486:i=107:rtra=on_1186 on theBenchmark for (1186ds/107Mi) 8.63/1.69 % (29076)Running in auto input_syntax mode. Trying TPTP 8.63/1.69 % (29468)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=2443890642:s2a=on:i=450:doe=on:nm=32:rtra=on_1186 on theBenchmark for (1186ds/450Mi) 9.60/1.70 % (29457)Instruction limit reached! 9.60/1.70 % (29457)------------------------------ 9.60/1.70 % (29457)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.60/1.70 % (29457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.60/1.70 % (29457)Termination reason: Instruction limit 9.60/1.70 % (29457)Termination phase: Saturation 9.60/1.70 9.60/1.70 % (29457)Time elapsed: 0.114 s 9.60/1.70 % (29457)Peak memory usage: 47 MB 9.60/1.70 % (29457)Instructions burned: 278 (million) 9.60/1.72 % (29465)Instruction limit reached! 9.60/1.72 % (29465)------------------------------ 9.60/1.72 % (29465)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.60/1.72 % (29465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.60/1.72 % (29465)Termination reason: Instruction limit 9.60/1.72 % (29465)Termination phase: Saturation 9.60/1.72 9.60/1.72 % (29465)Time elapsed: 0.043 s 9.60/1.72 % (29465)Peak memory usage: 29 MB 9.60/1.72 % (29465)Instructions burned: 108 (million) 9.60/1.74 % (29076)Running in auto input_syntax mode. Trying TPTP 9.60/1.74 WARNING Broken Constraint: if demodulation_redundancy_check(ordering) has been set then forward_demodulation(off) is not equal to off or backward_demodulation(off) is not equal to off 9.60/1.75 % (29472)lrs+1010_1_to=lpo:drc=ordering:sims=off:sas=z3:si=on:abs=on:tha=off:fd=off:random_seed=3365090971:i=1090:aac=none:nm=0:rtra=on:rawr=on_1186 on theBenchmark for (1186ds/1090Mi) 9.60/1.76 % (29076)Running in auto input_syntax mode. Trying TPTP 9.60/1.76 % (29473)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1164025593:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_1186 on theBenchmark for (1186ds/130Mi) 10.20/1.81 % (29473)Instruction limit reached! 10.20/1.81 % (29473)------------------------------ 10.20/1.81 % (29473)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.20/1.81 % (29473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.20/1.81 % (29473)Termination reason: Instruction limit 10.20/1.81 % (29473)Termination phase: Saturation 10.20/1.81 10.20/1.81 % (29473)Time elapsed: 0.050 s 10.20/1.81 % (29473)Peak memory usage: 30 MB 10.20/1.81 % (29473)Instructions burned: 131 (million) 10.27/1.84 % (29463)Instruction limit reached! 10.27/1.84 % (29463)------------------------------ 10.27/1.84 % (29463)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.27/1.84 % (29463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.27/1.84 % (29463)Termination reason: Instruction limit 10.27/1.84 % (29463)Termination phase: Saturation 10.27/1.84 10.27/1.84 % (29463)Time elapsed: 0.192 s 10.27/1.84 % (29463)Peak memory usage: 14 MB 10.27/1.84 % (29463)Instructions burned: 656 (million) 10.27/1.86 % (29468)Instruction limit reached! 10.27/1.86 % (29468)------------------------------ 10.27/1.86 % (29468)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.27/1.86 % (29468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.27/1.86 % (29468)Termination reason: Instruction limit 10.27/1.86 % (29468)Termination phase: Saturation 10.27/1.86 10.27/1.86 % (29468)Time elapsed: 0.164 s 10.27/1.86 % (29468)Peak memory usage: 48 MB 10.27/1.86 % (29468)Instructions burned: 451 (million) 10.27/1.86 % (29076)Running in auto input_syntax mode. Trying TPTP 10.27/1.86 % (29476)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:abs=on:nwc=5:br=off:random_seed=3887424695:i=312:kws=inv_frequency:nm=20:rtra=on_1185 on theBenchmark for (1185ds/312Mi) 10.27/1.88 % (29076)Running in auto input_syntax mode. Trying TPTP 10.27/1.88 % (29477)ott+10_1_to=kbo:sil=64000:si=on:sp=reverse_frequency:sos=on:random_seed=1097485653:i=491:doe=on:rtra=on:gtg=position_1184 on theBenchmark for (1184ds/491Mi) 10.27/1.90 % (29076)Running in auto input_syntax mode. Trying TPTP 10.27/1.90 % (29479)ott+1011_4:1_to=lpo:sil=64000:si=on:spb=intro:random_seed=2919789157:s2a=on:i=835:s2at=2:rtra=on_1184 on theBenchmark for (1184ds/835Mi) 10.73/1.96 % (29476)Instruction limit reached! 10.73/1.96 % (29476)------------------------------ 10.73/1.96 % (29476)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.73/1.96 % (29476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.73/1.96 % (29476)Termination reason: Instruction limit 10.73/1.96 % (29476)Termination phase: Saturation 10.73/1.96 10.73/1.96 % (29476)Time elapsed: 0.101 s 10.73/1.96 % (29476)Peak memory usage: 29 MB 10.73/1.96 % (29476)Instructions burned: 315 (million) 10.73/1.98 % (29462)Instruction limit reached! 10.73/1.98 % (29462)------------------------------ 10.73/1.98 % (29462)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 10.73/1.98 % (29462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.73/1.98 % (29462)Termination reason: Instruction limit 10.73/1.98 % (29462)Termination phase: Saturation 10.73/1.98 10.73/1.98 % (29462)Time elapsed: 0.338 s 10.73/1.98 % (29462)Peak memory usage: 17 MB 10.73/1.98 % (29462)Instructions burned: 1055 (million) 11.12/1.99 % (29464)Instruction limit reached! 11.12/1.99 % (29464)------------------------------ 11.12/1.99 % (29464)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.12/1.99 % (29464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.12/1.99 % (29464)Termination reason: Instruction limit 11.12/1.99 % (29464)Termination phase: Saturation 11.12/1.99 11.12/1.99 % (29464)Time elapsed: 0.337 s 11.12/1.99 % (29464)Peak memory usage: 16 MB 11.12/1.99 % (29464)Instructions burned: 1056 (million) 11.12/2.00 % (29076)Running in auto input_syntax mode. Trying TPTP 11.12/2.00 % (29482)ott+1011_2_to=lpo:sil=128000:si=on:sos=on:random_seed=1356195585:i=307:bd=preordered:av=off:rtra=on:ev=cautious_1183 on theBenchmark for (1183ds/307Mi) 11.12/2.03 % (29076)Running in auto input_syntax mode. Trying TPTP 11.12/2.03 % (29483)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2198668561:i=776:doe=on:rtra=on_1183 on theBenchmark for (1183ds/776Mi) 11.12/2.03 % (29076)Running in auto input_syntax mode. Trying TPTP 11.12/2.03 % (29484)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1676294361:s2a=on:i=646:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_1183 on theBenchmark for (1183ds/646Mi) 11.12/2.05 % (29477)Instruction limit reached! 11.12/2.05 % (29477)------------------------------ 11.12/2.05 % (29477)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.12/2.05 % (29477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.12/2.05 % (29477)Termination reason: Instruction limit 11.12/2.05 % (29477)Termination phase: Saturation 11.12/2.05 11.12/2.05 % (29477)Time elapsed: 0.168 s 11.12/2.05 % (29477)Peak memory usage: 13 MB 11.12/2.05 % (29477)Instructions burned: 493 (million) 11.44/2.09 % (29472)Instruction limit reached! 11.44/2.09 % (29472)------------------------------ 11.44/2.09 % (29472)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.44/2.09 % (29472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.44/2.09 % (29472)Termination reason: Instruction limit 11.44/2.09 % (29472)Termination phase: Saturation 11.44/2.09 11.44/2.09 % (29472)Time elapsed: 0.345 s 11.44/2.09 % (29472)Peak memory usage: 37 MB 11.44/2.09 % (29472)Instructions burned: 1092 (million) 11.44/2.09 % (29076)Running in auto input_syntax mode. Trying TPTP 11.44/2.09 % (29488)lrs-1011_1_to=lpo:sil=128000:thi=overlap:fde=none:si=on:spb=non_intro:lcm=predicate:uwa=func_ext:slsq=on:random_seed=3471649201:thitd=on:cond=fast:i=784:nm=30:rtra=on:gtg=all:tac=axiom:afr=on_1182 on theBenchmark for (1182ds/784Mi) 11.86/2.11 % (29482)Instruction limit reached! 11.86/2.11 % (29482)------------------------------ 11.86/2.11 % (29482)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.86/2.11 % (29482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.86/2.11 % (29482)Termination reason: Instruction limit 11.86/2.11 % (29482)Termination phase: Saturation 11.86/2.11 11.86/2.11 % (29482)Time elapsed: 0.108 s 11.86/2.11 % (29482)Peak memory usage: 11 MB 11.86/2.11 % (29482)Instructions burned: 309 (million) 12.03/2.13 % (29076)Running in auto input_syntax mode. Trying TPTP 12.03/2.13 % (29490)ott+1011_8:1_to=kbo:sil=128000:thi=overlap:si=on:sp=arity:lcm=reverse:uwa=func_ext:nwc=1:sac=on:random_seed=1197970172:thitd=on:s2a=on:i=1131:add=on:canc=force:bd=all:rtra=on:tac=axiom:ev=off_1182 on theBenchmark for (1182ds/1131Mi) 12.03/2.15 % (29076)Running in auto input_syntax mode. Trying TPTP 12.03/2.15 % (29491)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=193599935:s2pl=no:i=246:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_1182 on theBenchmark for (1182ds/246Mi) 12.03/2.16 % (29479)Instruction limit reached! 12.03/2.16 % (29479)------------------------------ 12.03/2.16 % (29479)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.03/2.16 % (29479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.03/2.16 % (29479)Termination reason: Instruction limit 12.03/2.16 % (29479)Termination phase: Saturation 12.03/2.16 12.03/2.16 % (29479)Time elapsed: 0.266 s 12.03/2.16 % (29479)Peak memory usage: 13 MB 12.03/2.16 % (29479)Instructions burned: 835 (million) 12.03/2.21 % (29076)Running in auto input_syntax mode. Trying TPTP 12.03/2.21 % (29494)lrs+1002_1_to=kbo:sil=64000:tgt=ground:si=on:random_seed=3757996870:s2a=on:i=775:s2at=3:kws=precedence:doe=on:fsr=off:rtra=on:ss=axioms_1181 on theBenchmark for (1181ds/775Mi) 12.43/2.24 % (29491)Instruction limit reached! 12.43/2.24 % (29491)------------------------------ 12.43/2.24 % (29491)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.43/2.24 % (29491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.43/2.24 % (29491)Termination reason: Instruction limit 12.43/2.24 % (29491)Termination phase: Saturation 12.43/2.24 12.43/2.24 % (29491)Time elapsed: 0.085 s 12.43/2.24 % (29491)Peak memory usage: 30 MB 12.43/2.24 % (29491)Instructions burned: 247 (million) 12.43/2.24 % (29484)Instruction limit reached! 12.43/2.24 % (29484)------------------------------ 12.43/2.24 % (29484)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.43/2.24 % (29484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.43/2.24 % (29484)Termination reason: Instruction limit 12.43/2.24 % (29484)Termination phase: Saturation 12.43/2.24 12.43/2.24 % (29484)Time elapsed: 0.210 s 12.43/2.24 % (29484)Peak memory usage: 52 MB 12.43/2.24 % (29484)Instructions burned: 647 (million) 12.43/2.27 % (29483)Instruction limit reached! 12.43/2.27 % (29483)------------------------------ 12.43/2.27 % (29483)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.43/2.27 % (29483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.43/2.27 % (29483)Termination reason: Instruction limit 12.43/2.27 % (29483)Termination phase: Saturation 12.43/2.27 12.43/2.27 % (29483)Time elapsed: 0.247 s 12.43/2.27 % (29483)Peak memory usage: 36 MB 12.43/2.27 % (29483)Instructions burned: 777 (million) 12.43/2.28 % (29076)Running in auto input_syntax mode. Trying TPTP 12.43/2.28 % (29496)dis+1011_2_to=kbo:sil=128000:tgt=full:irw=on:si=on:sp=unary_frequency:gve=cautious:nwc=5.53:random_seed=3801642088:i=273:kws=precedence:canc=cautious:nm=10:rtra=on:tar=off:rawr=on_1180 on theBenchmark for (1180ds/273Mi) 12.43/2.29 % (29076)Running in auto input_syntax mode. Trying TPTP 12.43/2.29 % (29497)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1046451523:i=102:nm=16:rtra=on_1180 on theBenchmark for (1180ds/102Mi) 13.93/2.32 % (29076)Running in auto input_syntax mode. Trying TPTP 13.93/2.32 % (29498)lrs+10_1_to=lpo:sil=128000:si=on:bsr=unit_only:tha=off:random_seed=7857913:avsq=on:s2a=on:i=1094:s2at=5:avsqr=4463,131072:rtra=on_1180 on theBenchmark for (1180ds/1094Mi) 13.93/2.32 % (29497)Instruction limit reached! 13.93/2.32 % (29497)------------------------------ 13.93/2.32 % (29497)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 13.93/2.32 % (29497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.93/2.32 % (29497)Termination reason: Instruction limit 13.93/2.32 % (29497)Termination phase: Saturation 13.93/2.32 13.93/2.32 % (29497)Time elapsed: 0.033 s 13.93/2.32 % (29497)Peak memory usage: 9 MB 13.93/2.32 % (29497)Instructions burned: 102 (million) 13.93/2.35 % (29488)Instruction limit reached! 13.93/2.35 % (29488)------------------------------ 13.93/2.35 % (29488)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 13.93/2.35 % (29488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.93/2.35 % (29488)Termination reason: Instruction limit 13.93/2.35 % (29488)Termination phase: Saturation 13.93/2.35 13.93/2.35 % (29488)Time elapsed: 0.255 s 13.93/2.35 % (29488)Peak memory usage: 33 MB 13.93/2.35 % (29488)Instructions burned: 784 (million) 13.93/2.36 % (29076)Running in auto input_syntax mode. Trying TPTP 13.93/2.36 % (29502)dis+11_1_slsqr=1,2:to=lpo:norm_ineq=on:plsq=on:si=on:slsq=on:random_seed=1626217120:i=6400:doe=on:fsr=off:rtra=on_1180 on theBenchmark for (1180ds/6400Mi) 13.93/2.37 % (29496)Instruction limit reached! 13.93/2.37 % (29496)------------------------------ 13.93/2.37 % (29496)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 13.93/2.37 % (29496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.93/2.37 % (29496)Termination reason: Instruction limit 13.93/2.37 % (29496)Termination phase: Saturation 13.93/2.37 13.93/2.37 % (29496)Time elapsed: 0.094 s 13.93/2.37 % (29496)Peak memory usage: 11 MB 13.93/2.37 % (29496)Instructions burned: 274 (million) 13.93/2.39 % (29076)Running in auto input_syntax mode. Trying TPTP 13.93/2.39 % (29503)dis+1011_12:1_to=lpo:sil=128000:tgt=full:sas=z3:si=on:sp=const_frequency:abs=on:tha=off:slsqc=5:slsq=on:random_seed=1066723485:i=868:doe=on:nm=0:rtra=on:gtg=exists_sym_1179 on theBenchmark for (1179ds/868Mi) 14.46/2.42 % (29076)Running in auto input_syntax mode. Trying TPTP 14.46/2.42 % (29505)ott+1010_8_to=lpo:sil=128000:norm_ineq=on:si=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3457650137:i=1846:canc=cautious:fsr=off:rtra=on:uhcvi=off_1179 on theBenchmark for (1179ds/1846Mi) 14.46/2.45 % (29494)Instruction limit reached! 14.46/2.45 % (29494)------------------------------ 14.46/2.45 % (29494)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 14.46/2.45 % (29494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.46/2.45 % (29494)Termination reason: Instruction limit 14.46/2.45 % (29494)Termination phase: Saturation 14.46/2.45 14.46/2.45 % (29494)Time elapsed: 0.241 s 14.46/2.45 % (29494)Peak memory usage: 14 MB 14.46/2.45 % (29494)Instructions burned: 777 (million) 14.46/2.49 % (29076)Running in auto input_syntax mode. Trying TPTP 14.46/2.49 % (29508)lrs+35_1_norm_ineq=on:drc=ordering:si=on:abs=on:tha=off:random_seed=3868695917:s2a=on:i=36816:s2at=3:aac=none:rtra=on:amm=off:rawr=on_1178 on theBenchmark for (1178ds/36816Mi) 14.80/2.52 % (29490)Instruction limit reached! 14.80/2.52 % (29490)------------------------------ 14.80/2.52 % (29490)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 14.80/2.52 % (29490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.80/2.52 % (29490)Termination reason: Instruction limit 14.80/2.52 % (29490)Termination phase: Saturation 14.80/2.52 14.80/2.52 % (29490)Time elapsed: 0.389 s 14.80/2.52 % (29490)Peak memory usage: 37 MB 14.80/2.52 % (29490)Instructions burned: 1133 (million) 14.80/2.57 % (29076)Running in auto input_syntax mode. Trying TPTP 14.80/2.57 % (29510)dis+1011_2_to=kbo:sil=128000:tgt=full:irw=on:si=on:sp=unary_frequency:gve=cautious:nwc=5.53:random_seed=4162709328:i=273:kws=precedence:canc=cautious:nm=10:rtra=on:tar=off:rawr=on_1178 on theBenchmark for (1178ds/273Mi) 15.03/2.66 % (29498)Instruction limit reached! 15.03/2.66 % (29498)------------------------------ 15.03/2.66 % (29498)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 15.03/2.66 % (29498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.03/2.66 % (29498)Termination reason: Instruction limit 15.03/2.66 % (29498)Termination phase: Saturation 15.03/2.66 15.03/2.66 % (29498)Time elapsed: 0.344 s 15.03/2.66 % (29498)Peak memory usage: 17 MB 15.03/2.66 % (29498)Instructions burned: 1096 (million) 15.03/2.66 % (29510)Instruction limit reached! 15.03/2.66 % (29510)------------------------------ 15.03/2.66 % (29510)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 15.03/2.66 % (29510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.03/2.66 % (29510)Termination reason: Instruction limit 15.03/2.66 % (29510)Termination phase: Saturation 15.03/2.66 15.03/2.66 % (29510)Time elapsed: 0.094 s 15.03/2.66 % (29510)Peak memory usage: 11 MB 15.03/2.66 % (29510)Instructions burned: 275 (million) 15.03/2.67 % (29503)Instruction limit reached! 15.03/2.67 % (29503)------------------------------ 15.03/2.67 % (29503)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 15.03/2.67 % (29503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.03/2.67 % (29503)Termination reason: Instruction limit 15.03/2.67 % (29503)Termination phase: Saturation 15.03/2.67 15.03/2.67 % (29503)Time elapsed: 0.278 s 15.03/2.67 % (29503)Peak memory usage: 36 MB 15.03/2.67 % (29503)Instructions burned: 869 (million) 15.68/2.70 % (29076)Running in auto input_syntax mode. Trying TPTP 15.68/2.70 % (29512)dis+1011_12:1_to=lpo:sil=128000:tgt=full:sas=z3:si=on:sp=const_frequency:abs=on:tha=off:slsqc=5:slsq=on:random_seed=3203125686:i=863:doe=on:nm=0:rtra=on:gtg=exists_sym_1176 on theBenchmark for (1176ds/863Mi) 15.68/2.70 % (29076)Running in auto input_syntax mode. Trying TPTP 15.68/2.70 % (29513)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2876263635:i=5811:kws=precedence:nm=0:rtra=on_1176 on theBenchmark for (1176ds/5811Mi) 15.68/2.71 % (29076)Running in auto input_syntax mode. Trying TPTP 15.68/2.71 % (29514)lrs+666_16:1_to=kbo:sil=128000:norm_ineq=on:sas=z3:si=on:sp=reverse_arity:spb=goal_then_units:urr=on:uwa=off:tha=some:random_seed=1011745198:i=2216:gtgl=2:aac=none:rtra=on:gtg=all:tac=axiom_1176 on theBenchmark for (1176ds/2216Mi) 15.77/2.83 % (29456)Instruction limit reached! 15.77/2.83 % (29456)------------------------------ 15.77/2.83 % (29456)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 15.77/2.83 % (29456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.77/2.83 % (29456)Termination reason: Instruction limit 15.77/2.83 % (29456)Termination phase: Saturation 15.77/2.83 15.77/2.83 % (29456)Time elapsed: 1.237 s 15.77/2.83 % (29456)Peak memory usage: 34 MB 15.77/2.83 % (29456)Instructions burned: 4429 (million) 15.77/2.87 % (29076)Running in auto input_syntax mode. Trying TPTP 15.77/2.87 % (29518)lrs+1011_12_to=kbo:tgt=ground:si=on:gve=force:acc=on:tha=off:random_seed=483500652:i=801:kws=inv_arity_squared:rtra=on:gtg=exists_sym_1175 on theBenchmark for (1175ds/801Mi) 18.16/2.94 % (29505)Instruction limit reached! 18.16/2.94 % (29505)------------------------------ 18.16/2.94 % (29505)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 18.16/2.94 % (29505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.16/2.94 % (29505)Termination reason: Instruction limit 18.16/2.94 % (29505)Termination phase: Saturation 18.16/2.94 18.16/2.94 % (29505)Time elapsed: 0.528 s 18.16/2.94 % (29505)Peak memory usage: 21 MB 18.16/2.94 % (29505)Instructions burned: 1849 (million) 18.16/2.98 % (29512)Instruction limit reached! 18.16/2.98 % (29512)------------------------------ 18.16/2.98 % (29512)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 18.16/2.98 % (29512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.16/2.98 % (29512)Termination reason: Instruction limit 18.16/2.98 % (29512)Termination phase: Saturation 18.16/2.98 18.16/2.98 % (29512)Time elapsed: 0.275 s 18.16/2.98 % (29512)Peak memory usage: 36 MB 18.16/2.98 % (29512)Instructions burned: 863 (million) 18.16/2.99 % (29076)Running in auto input_syntax mode. Trying TPTP 18.16/2.99 % (29520)dis+1011_14_to=kbo:tgt=ground:drc=ordering:fde=none:si=on:uwa=func_ext:tha=off:random_seed=496833144:st=5:i=1026:nm=32:av=off:rtra=on:ss=axioms:ev=cautious_1173 on theBenchmark for (1173ds/1026Mi) 18.80/3.02 % (29076)Running in auto input_syntax mode. Trying TPTP 18.80/3.02 % (29521)lrs+10_1_to=lpo:sil=64000:si=on:spb=goal_then_units:random_seed=279249323:i=3509:rtra=on_1173 on theBenchmark for (1173ds/3509Mi) 18.80/3.10 % (29518)Instruction limit reached! 18.80/3.10 % (29518)------------------------------ 18.80/3.10 % (29518)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 18.80/3.10 % (29518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.80/3.10 % (29518)Termination reason: Instruction limit 18.80/3.10 % (29518)Termination phase: Saturation 18.80/3.10 18.80/3.10 % (29518)Time elapsed: 0.226 s 18.80/3.10 % (29518)Peak memory usage: 15 MB 18.80/3.10 % (29518)Instructions burned: 801 (million) 19.27/3.14 % (29076)Running in auto input_syntax mode. Trying TPTP 19.27/3.14 % (29524)lrs+10_1_to=kbo:sil=128000:norm_ineq=on:si=on:random_seed=4265026786:st=2:i=2127:sd=12:ep=R:rtra=on:ss=axioms_1172 on theBenchmark for (1172ds/2127Mi) 20.04/3.30 % (29520)Instruction limit reached! 20.04/3.30 % (29520)------------------------------ 20.04/3.30 % (29520)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 20.04/3.30 % (29520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.04/3.30 % (29520)Termination reason: Instruction limit 20.04/3.30 % (29520)Termination phase: Saturation 20.04/3.30 20.04/3.30 % (29520)Time elapsed: 0.317 s 20.04/3.30 % (29520)Peak memory usage: 16 MB 20.04/3.30 % (29520)Instructions burned: 1026 (million) 20.48/3.35 % (29076)Running in auto input_syntax mode. Trying TPTP 20.48/3.35 % (29526)ott+1011_1_to=lpo:prc=on:sas=z3:si=on:taea=off:tha=off:gs=on:nwc=2:newcnf=on:random_seed=1328081718:i=1959:rtra=on:fsd=on:proc=on_1170 on theBenchmark for (1170ds/1959Mi) 20.48/3.38 % (29514)Instruction limit reached! 20.48/3.38 % (29514)------------------------------ 20.48/3.38 % (29514)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 20.48/3.38 % (29514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.48/3.38 % (29514)Termination reason: Instruction limit 20.48/3.38 % (29514)Termination phase: Saturation 20.48/3.38 20.48/3.38 % (29514)Time elapsed: 0.666 s 20.48/3.38 % (29514)Peak memory usage: 41 MB 20.48/3.38 % (29514)Instructions burned: 2218 (million) 20.85/3.42 % (29076)Running in auto input_syntax mode. Trying TPTP 20.85/3.42 % (29528)lrs+1010_1_to=kbo:sil=128000:si=on:newcnf=on:random_seed=2841637554:s2a=on:i=3553:nm=0:rtra=on_1169 on theBenchmark for (1169ds/3553Mi) 20.85/3.44 % (29513)First to succeed. 20.85/3.47 % (29513)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29076" 20.85/3.47 % (29076)Running in auto input_syntax mode. Trying TPTP 20.85/3.47 % (29513)Refutation found. Thanks to Tanya! 20.85/3.47 % SZS status Theorem for theBenchmark 20.85/3.47 % SZS output start Proof for theBenchmark 20.85/3.47 tff(type_def_5, type, uni: $tType). 20.85/3.47 tff(type_def_6, type, ty: $tType). 20.85/3.47 tff(type_def_7, type, bool1: $tType). 20.85/3.47 tff(type_def_8, type, tuple02: $tType). 20.85/3.47 tff(type_def_9, type, tree1: $tType). 20.85/3.47 tff(type_def_10, type, list_tree: $tType). 20.85/3.47 tff(func_def_0, type, witness1: ty > uni). 20.85/3.47 tff(func_def_1, type, int: ty). 20.85/3.47 tff(func_def_2, type, real: ty). 20.85/3.47 tff(func_def_3, type, bool: ty). 20.85/3.47 tff(func_def_4, type, true1: bool1). 20.85/3.47 tff(func_def_5, type, false1: bool1). 20.85/3.47 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 20.85/3.47 tff(func_def_7, type, tuple0: ty). 20.85/3.47 tff(func_def_8, type, tuple03: tuple02). 20.85/3.47 tff(func_def_9, type, qtmark: ty). 20.85/3.47 tff(func_def_10, type, list: ty > ty). 20.85/3.47 tff(func_def_11, type, nil: ty > uni). 20.85/3.47 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 20.85/3.47 tff(func_def_13, type, match_list1: (ty * ty * uni * uni * uni) > uni). 20.85/3.47 tff(func_def_14, type, cons_proj_11: (ty * uni) > uni). 20.85/3.47 tff(func_def_15, type, cons_proj_21: (ty * uni) > uni). 20.85/3.47 tff(func_def_16, type, infix_plpl: (ty * uni * uni) > uni). 20.85/3.47 tff(func_def_17, type, length2: (ty * uni) > $int). 20.85/3.47 tff(func_def_18, type, map: (ty * ty) > ty). 20.85/3.47 tff(func_def_19, type, get: (ty * ty * uni * uni) > uni). 20.85/3.47 tff(func_def_20, type, set: (ty * ty * uni * uni * uni) > uni). 20.85/3.47 tff(func_def_21, type, const: (ty * ty * uni) > uni). 20.85/3.47 tff(func_def_22, type, array: ty > ty). 20.85/3.47 tff(func_def_23, type, mk_array1: (ty * $int * uni) > uni). 20.85/3.47 tff(func_def_24, type, length3: (ty * uni) > $int). 20.85/3.47 tff(func_def_25, type, elts: (ty * uni) > uni). 20.85/3.47 tff(func_def_26, type, get2: (ty * uni * $int) > uni). 20.85/3.47 tff(func_def_27, type, t2tb: $int > uni). 20.85/3.47 tff(func_def_28, type, tb2t: uni > $int). 20.85/3.47 tff(func_def_29, type, set2: (ty * uni * $int * uni) > uni). 20.85/3.47 tff(func_def_30, type, make1: (ty * $int * uni) > uni). 20.85/3.47 tff(func_def_31, type, tree: ty). 20.85/3.47 tff(func_def_32, type, empty1: tree1). 20.85/3.47 tff(func_def_33, type, node1: (tree1 * tree1) > tree1). 20.85/3.47 tff(func_def_34, type, match_tree1: (ty * tree1 * uni * uni) > uni). 20.85/3.47 tff(func_def_35, type, node_proj_11: tree1 > tree1). 20.85/3.47 tff(func_def_36, type, node_proj_21: tree1 > tree1). 20.85/3.47 tff(func_def_37, type, size1: tree1 > $int). 20.85/3.47 tff(func_def_38, type, t2tb1: list_tree > uni). 20.85/3.47 tff(func_def_39, type, tb2t1: uni > list_tree). 20.85/3.47 tff(func_def_40, type, t2tb2: tree1 > uni). 20.85/3.47 tff(func_def_41, type, tb2t2: uni > tree1). 20.85/3.47 tff(func_def_46, type, sK0: tree1 > tree1). 20.85/3.47 tff(func_def_47, type, sK1: tree1 > tree1). 20.85/3.47 tff(func_def_48, type, sK2: (uni * ty * uni) > uni). 20.85/3.47 tff(func_def_49, type, sK3: list_tree). 20.85/3.47 tff(func_def_50, type, sK4: $int). 20.85/3.47 tff(func_def_51, type, sK5: list_tree). 20.85/3.47 tff(func_def_52, type, sK6: $int). 20.85/3.47 tff(func_def_53, type, sK7: list_tree). 20.85/3.47 tff(func_def_54, type, sK8: list_tree). 20.85/3.47 tff(func_def_55, type, sK9: tree1). 20.85/3.47 tff(func_def_56, type, sK10: list_tree). 20.85/3.47 tff(func_def_57, type, sK11: tree1 > tree1). 20.85/3.47 tff(func_def_58, type, sK12: tree1 > tree1). 20.85/3.47 tff(func_def_59, type, sK13: list_tree). 20.85/3.47 tff(func_def_60, type, sK14: tree1 > tree1). 20.85/3.47 tff(func_def_61, type, sK15: (uni * uni * ty) > uni). 20.85/3.47 tff(func_def_62, type, sK16: (uni * uni * ty) > uni). 20.85/3.47 tff(func_def_63, type, sK17: (uni * ty) > uni). 20.85/3.47 tff(func_def_64, type, sK18: (uni * ty) > uni). 20.85/3.47 tff(func_def_65, type, sK19: (uni * ty) > uni). 20.85/3.47 tff(func_def_66, type, sF20: uni). 20.85/3.47 tff(func_def_67, type, sF21: uni). 20.85/3.47 tff(func_def_68, type, sF22: uni). 20.85/3.47 tff(func_def_69, type, sF23: uni). 20.85/3.47 tff(func_def_70, type, sF24: uni). 20.85/3.47 tff(func_def_71, type, sF25: uni). 20.85/3.47 tff(func_def_72, type, sF26: uni). 20.85/3.47 tff(func_def_73, type, sF27: list_tree). 20.85/3.47 tff(func_def_74, type, sF28: uni). 20.85/3.47 tff(pred_def_1, type, sort1: (ty * uni) > $o). 20.85/3.47 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 20.85/3.47 tff(pred_def_3, type, distinct: (ty * uni) > $o). 20.85/3.47 tff(pred_def_4, type, all_trees1: ($int * list_tree) > $o). 20.85/3.47 tff(f21572,plain,( 20.85/3.47 $false), 20.85/3.47 inference(avatar_smt_refutation,[],[f402,f407,f412,f417,f422,f427,f432,f437,f442,f447,f452,f457,f462,f467,f472,f477,f482,f487,f492,f497,f502,f507,f512,f524,f534,f539,f546,f560,f570,f575,f580,f585,f590,f597,f607,f612,f617,f622,f627,f634,f643,f648,f654,f660,f691,f729,f737,f752,f993,f996,f1022,f1195,f1211,f1212,f1223,f1224,f1652,f1659,f1667,f1709,f1721,f1725,f1729,f1733,f1737,f1741,f1745,f1749,f1753,f1757,f1761,f1765,f1769,f1773,f1777,f1781,f1785,f1789,f1793,f1797,f1801,f1805,f1809,f1813,f1817,f1821,f1825,f1829,f1833,f1837,f1841,f1845,f1849,f1850,f1854,f1858,f1862,f1998,f2030,f2035,f2041,f2120,f2126,f2131,f2136,f2153,f2200,f2223,f2250,f2259,f2317,f2318,f2322,f2339,f2348,f2364,f2365,f2380,f2425,f2426,f2431,f2432,f2436,f2437,f2438,f2439,f2444,f2448,f2449,f2450,f2455,f2460,f2464,f2465,f2470,f2471,f2472,f2477,f2508,f2509,f2511,f2512,f2516,f2517,f2521,f2559,f2564,f2570,f2584,f2589,f2627,f2629,f2630,f2632,f2633,f2712,f3079,f3160,f3161,f3162,f3182,f3246,f3247,f3273,f3282,f3313,f3314,f3477,f3810,f3920,f4399,f4400,f4601,f5165,f5171,f5223,f5227,f5231,f5235,f5239,f5243,f5244,f5248,f5307,f5317,f5350,f5355,f5361,f5411,f5412,f5415,f5419,f5422,f5424,f5425,f5486,f5490,f5492,f5702,f5889,f5922,f6168,f6251,f6256,f6260,f6272,f6280,f6293,f6299,f6306,f6310,f6311,f6313,f6436,f6448,f6582,f6651,f6682,f6683,f7189,f7191,f7420,f7801,f7802,f7810,f7813,f8280,f8405,f8453,f8457,f8526,f8531,f8591,f8745,f8746,f8747,f8790,f8913,f8925,f8927,f8939,f8943,f8960,f9156,f9277,f9278,f9279,f9484,f9488,f9544,f9552,f9796,f9800,f9807,f9812,f9816,f9821,f9825,f9829,f9836,f9840,f9845,f9850,f9855,f9857,f9858,f9866,f9867,f9873,f9877,f9882,f9890,f9895,f9900,f9912,f9917,f9921,f9922,f9923,f9925,f9930,f9931,f9938,f9953,f10058,f10063,f10075,f10117,f10194,f10202,f10241,f10247,f10304,f10311,f10312,f10316,f10318,f10322,f10328,f10431,f10470,f10472,f10473,f10474,f10475,f10478,f10584,f10588,f10592,f10597,f10850,f10856,f10918,f11026,f11030,f11035,f11036,f11150,f11155,f11159,f11160,f11254,f11411,f11427,f11428,f11472,f11479,f11567,f11574,f11575,f11579,f11580,f11734,f11739,f11980,f12082,f12264,f12970,f13221,f13310,f13311,f13312,f13317,f13318,f13323,f13324,f13325,f13330,f13331,f13332,f13335,f13340,f13350,f13395,f13398,f13403,f13412,f13417,f13419,f13420,f13425,f13435,f13440,f13441,f13446,f13453,f13494,f13500,f13506,f13544,f13550,f13596,f13599,f13600,f13603,f13757,f13768,f13787,f13791,f13796,f13856,f13862,f13863,f13875,f13883,f13939,f14016,f14074,f14081,f14088,f14093,f14098,f14106,f14111,f14118,f14176,f14200,f14303,f14304,f14305,f14306,f14307,f14308,f14309,f14311,f14312,f14313,f14743,f14747,f14751,f14752,f14753,f14754,f14755,f14795,f14805,f14927,f14939,f16497,f16509,f16527,f16532,f16541,f16568,f16574,f16607,f16628,f16792,f16811,f16819,f16837,f16841,f16862,f16931,f16941,f16950,f17493,f17750,f17751,f19385,f19436,f19439,f19444,f19475,f19568,f19573,f19578,f19583,f19595,f19600,f19605,f19606,f19649,f19650,f19659,f19664,f19666,f19670,f19675,f19685,f19698,f19699,f19762,f19773,f19806,f19818,f19826,f19830,f19835,f19840,f19841,f19842,f19847,f19852,f19857,f19862,f19867,f19932,f19933,f19961,f19962,f19965,f20065,f20207,f20324,f20472,f20475,f20489,f20499,f20504,f20559,f20744,f20753,f20760,f20765,f20933,f20940,f20952,f21088,f21089,f21090,f21224,f21229,f21236,f21240,f21313,f21319,f21413,f21430,f21434,f21435,f21560,f21561,f21568,f21569,f21570,f21571])). 20.85/3.47 tff(f21571,plain,( 20.85/3.47 spl29_364 | ~spl29_46 | spl29_48 | ~spl29_50 | spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f21567,f19588,f749,f726,f657,f19695])). 20.85/3.47 tff(f19695,definition,( 20.85/3.47 spl29_364 <=> nil(tree) = cons_proj_21(tree,sF26)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_364])],[avatar_definition])). 20.85/3.47 tff(f657,definition,( 20.85/3.47 spl29_46 <=> distinct(tree,sF26)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_46])],[avatar_definition])). 20.85/3.47 tff(f726,definition,( 20.85/3.47 spl29_48 <=> nil(tree) = sF26), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_48])],[avatar_definition])). 20.85/3.47 tff(f749,definition,( 20.85/3.47 spl29_50 <=> sF20 = cons_proj_21(tree,sF26)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_50])],[avatar_definition])). 20.85/3.47 tff(f19588,definition,( 20.85/3.47 spl29_351 <=> sK17(sF26,tree) = sF20), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_351])],[avatar_definition])). 20.85/3.47 tff(f21567,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF26) | (~spl29_46 | spl29_48 | ~spl29_50 | spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f21562,f659])). 20.85/3.47 tff(f659,plain,( 20.85/3.47 distinct(tree,sF26) | ~spl29_46), 20.85/3.47 inference(avatar_component_clause,[],[f657])). 20.85/3.47 tff(f21562,plain,( 20.85/3.47 ~distinct(tree,sF26) | nil(tree) = cons_proj_21(tree,sF26) | (spl29_48 | ~spl29_50 | spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f21551,f19589])). 20.85/3.47 tff(f19589,plain,( 20.85/3.47 sK17(sF26,tree) != sF20 | spl29_351), 20.85/3.47 inference(avatar_component_clause,[],[f19588])). 20.85/3.47 tff(f21551,plain,( 20.85/3.47 sK17(sF26,tree) = sF20 | ~distinct(tree,sF26) | nil(tree) = cons_proj_21(tree,sF26) | (spl29_48 | ~spl29_50)), 20.85/3.47 inference(subsumption_resolution,[],[f21528,f728])). 20.85/3.47 tff(f728,plain,( 20.85/3.47 nil(tree) != sF26 | spl29_48), 20.85/3.47 inference(avatar_component_clause,[],[f726])). 20.85/3.47 tff(f21528,plain,( 20.85/3.47 nil(tree) = sF26 | sK17(sF26,tree) = sF20 | ~distinct(tree,sF26) | nil(tree) = cons_proj_21(tree,sF26) | ~spl29_50), 20.85/3.47 inference(superposition,[],[f751,f4024])). 20.85/3.47 tff(f4024,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons_proj_21(X1,X0) = sK17(X0,X1) | ~distinct(X1,X0) | nil(X1) = X0 | cons_proj_21(X1,X0) = nil(X1)) )), 20.85/3.47 inference(superposition,[],[f328,f1466])). 20.85/3.47 tff(f1466,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK19(X0,X1),nil(X1)) = X0 | nil(X1) = X0 | ~distinct(X1,X0) | cons_proj_21(X1,X0) = sK17(X0,X1)) )), 20.85/3.47 inference(superposition,[],[f328,f341])). 20.85/3.47 tff(f341,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK18(X0,X1),sK17(X0,X1)) = X0 | nil(X1) = X0 | cons(X1,sK19(X0,X1),nil(X1)) = X0 | ~distinct(X1,X0)) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f236,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : (nil(X1) = X0 | (sort1(list(X1),sK17(X0,X1)) & distinct(X1,sK17(X0,X1)) & sort1(X1,sK18(X0,X1)) & ~mem(X1,sK18(X0,X1),sK17(X0,X1)) & cons(X1,sK18(X0,X1),sK17(X0,X1)) = X0) | ~distinct(X1,X0) | (cons(X1,sK19(X0,X1),nil(X1)) = X0 & sort1(X1,sK19(X0,X1))))), 20.85/3.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f233,f235,f234])). 20.85/3.47 tff(f234,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : (? [X2 : uni,X3 : uni] : (sort1(list(X1),X2) & distinct(X1,X2) & sort1(X1,X3) & ~mem(X1,X3,X2) & cons(X1,X3,X2) = X0) => (sort1(list(X1),sK17(X0,X1)) & distinct(X1,sK17(X0,X1)) & sort1(X1,sK18(X0,X1)) & ~mem(X1,sK18(X0,X1),sK17(X0,X1)) & cons(X1,sK18(X0,X1),sK17(X0,X1)) = X0))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f235,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : (? [X4 : uni] : (cons(X1,X4,nil(X1)) = X0 & sort1(X1,X4)) => (cons(X1,sK19(X0,X1),nil(X1)) = X0 & sort1(X1,sK19(X0,X1))))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f233,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : (nil(X1) = X0 | ? [X2 : uni,X3 : uni] : (sort1(list(X1),X2) & distinct(X1,X2) & sort1(X1,X3) & ~mem(X1,X3,X2) & cons(X1,X3,X2) = X0) | ~distinct(X1,X0) | ? [X4 : uni] : (cons(X1,X4,nil(X1)) = X0 & sort1(X1,X4)))), 20.85/3.47 inference(rectify,[],[f158])). 20.85/3.47 tff(f158,plain,( 20.85/3.47 ! [X1 : uni,X0 : ty] : (nil(X0) = X1 | ? [X4 : uni,X3 : uni] : (sort1(list(X0),X4) & distinct(X0,X4) & sort1(X0,X3) & ~mem(X0,X3,X4) & cons(X0,X3,X4) = X1) | ~distinct(X0,X1) | ? [X2 : uni] : (cons(X0,X2,nil(X0)) = X1 & sort1(X0,X2)))), 20.85/3.47 inference(flattening,[],[f157])). 20.85/3.47 tff(f157,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni] : ((? [X4 : uni,X3 : uni] : (sort1(list(X0),X4) & distinct(X0,X4) & sort1(X0,X3) & ~mem(X0,X3,X4) & cons(X0,X3,X4) = X1) | nil(X0) = X1 | ? [X2 : uni] : (cons(X0,X2,nil(X0)) = X1 & sort1(X0,X2))) | ~distinct(X0,X1))), 20.85/3.47 inference(ennf_transformation,[],[f85])). 20.85/3.47 tff(f85,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni] : (distinct(X0,X1) => (? [X4 : uni,X3 : uni] : (sort1(list(X0),X4) & distinct(X0,X4) & sort1(X0,X3) & ~mem(X0,X3,X4) & cons(X0,X3,X4) = X1) | nil(X0) = X1 | ? [X2 : uni] : (cons(X0,X2,nil(X0)) = X1 & sort1(X0,X2))))), 20.85/3.47 inference(rectify,[],[f16])). 20.85/3.47 tff(f16,axiom,( 20.85/3.47 ! [X0 : ty,X18 : uni] : (distinct(X0,X18) => (? [X6 : uni] : (sort1(X0,X6) & cons(X0,X6,nil(X0)) = X18) | nil(X0) = X18 | ? [X6 : uni,X2 : uni] : (sort1(list(X0),X2) & cons(X0,X6,X2) = X18 & distinct(X0,X2) & sort1(X0,X6) & ~mem(X0,X6,X2))))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f328,plain,( 20.85/3.47 ( ! [X2 : ty,X0 : uni,X1 : uni] : (cons_proj_21(X2,cons(X2,X0,X1)) = X1) )), 20.85/3.47 inference(cnf_transformation,[],[f229])). 20.85/3.47 tff(f229,plain,( 20.85/3.47 ! [X0 : uni,X1 : uni,X2 : ty] : cons_proj_21(X2,cons(X2,X0,X1)) = X1), 20.85/3.47 inference(rectify,[],[f129])). 20.85/3.47 tff(f129,plain,( 20.85/3.47 ! [X1 : uni,X0 : uni,X2 : ty] : cons_proj_21(X2,cons(X2,X1,X0)) = X0), 20.85/3.47 inference(rectify,[],[f44])). 20.85/3.47 tff(f44,axiom,( 20.85/3.47 ! [X5 : uni,X4 : uni,X0 : ty] : cons_proj_21(X0,cons(X0,X4,X5)) = X5), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f751,plain,( 20.85/3.47 sF20 = cons_proj_21(tree,sF26) | ~spl29_50), 20.85/3.47 inference(avatar_component_clause,[],[f749])). 20.85/3.47 tff(f21570,plain,( 20.85/3.47 spl29_146 | ~spl29_46 | spl29_48 | ~spl29_50 | spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f21566,f19588,f749,f726,f657,f3239])). 20.85/3.47 tff(f3239,definition,( 20.85/3.47 spl29_146 <=> nil(tree) = sF20), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_146])],[avatar_definition])). 20.85/3.47 tff(f21566,plain,( 20.85/3.47 nil(tree) = sF20 | (~spl29_46 | spl29_48 | ~spl29_50 | spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f21558,f659])). 20.85/3.47 tff(f21558,plain,( 20.85/3.47 ~distinct(tree,sF26) | nil(tree) = sF20 | (spl29_48 | ~spl29_50 | spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f21541,f728])). 20.85/3.47 tff(f21541,plain,( 20.85/3.47 nil(tree) = sF20 | nil(tree) = sF26 | ~distinct(tree,sF26) | (~spl29_50 | spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f21497,f19589])). 20.85/3.47 tff(f21497,plain,( 20.85/3.47 sK17(sF26,tree) = sF20 | nil(tree) = sF20 | ~distinct(tree,sF26) | nil(tree) = sF26 | ~spl29_50), 20.85/3.47 inference(superposition,[],[f4024,f751])). 20.85/3.47 tff(f21569,plain,( 20.85/3.47 spl29_319 | ~spl29_353 | ~spl29_18 | spl29_163 | spl29_318), 20.85/3.47 inference(avatar_split_clause,[],[f21564,f16534,f5304,f484,f19597,f16538])). 20.85/3.47 tff(f16538,definition,( 20.85/3.47 spl29_319 <=> nil(tree) = cons_proj_21(tree,sF21)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_319])],[avatar_definition])). 20.85/3.47 tff(f19597,definition,( 20.85/3.47 spl29_353 <=> empty1 = tb2t2(cons_proj_11(tree,sK17(sF21,tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_353])],[avatar_definition])). 20.85/3.47 tff(f484,definition,( 20.85/3.47 spl29_18 <=> distinct(tree,sF21)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_18])],[avatar_definition])). 20.85/3.47 tff(f5304,definition,( 20.85/3.47 spl29_163 <=> nil(tree) = sF21), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_163])],[avatar_definition])). 20.85/3.47 tff(f16534,definition,( 20.85/3.47 spl29_318 <=> empty1 = tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF21)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_318])],[avatar_definition])). 20.85/3.47 tff(f21564,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,sK17(sF21,tree))) | (~spl29_18 | spl29_163 | spl29_318)), 20.85/3.47 inference(subsumption_resolution,[],[f21554,f5305])). 20.85/3.47 tff(f5305,plain,( 20.85/3.47 nil(tree) != sF21 | spl29_163), 20.85/3.47 inference(avatar_component_clause,[],[f5304])). 20.85/3.47 tff(f21554,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,sK17(sF21,tree))) | nil(tree) = sF21 | nil(tree) = cons_proj_21(tree,sF21) | (~spl29_18 | spl29_318)), 20.85/3.47 inference(subsumption_resolution,[],[f21518,f486])). 20.85/3.47 tff(f486,plain,( 20.85/3.47 distinct(tree,sF21) | ~spl29_18), 20.85/3.47 inference(avatar_component_clause,[],[f484])). 20.85/3.47 tff(f21518,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,sK17(sF21,tree))) | ~distinct(tree,sF21) | nil(tree) = sF21 | spl29_318), 20.85/3.47 inference(superposition,[],[f16536,f4024])). 20.85/3.47 tff(f16536,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF21))) | spl29_318), 20.85/3.47 inference(avatar_component_clause,[],[f16534])). 20.85/3.47 tff(f21568,plain,( 20.85/3.47 ~spl29_354 | spl29_319 | ~spl29_18 | spl29_163 | spl29_332), 20.85/3.47 inference(avatar_split_clause,[],[f21563,f16808,f5304,f484,f16538,f19602])). 20.85/3.47 tff(f19602,definition,( 20.85/3.47 spl29_354 <=> empty1 = tb2t2(sK19(sK17(sF21,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_354])],[avatar_definition])). 20.85/3.47 tff(f16808,definition,( 20.85/3.47 spl29_332 <=> empty1 = tb2t2(sK19(cons_proj_21(tree,sF21),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_332])],[avatar_definition])). 20.85/3.47 tff(f21563,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF21) | empty1 != tb2t2(sK19(sK17(sF21,tree),tree)) | (~spl29_18 | spl29_163 | spl29_332)), 20.85/3.47 inference(subsumption_resolution,[],[f21553,f5305])). 20.85/3.47 tff(f21553,plain,( 20.85/3.47 empty1 != tb2t2(sK19(sK17(sF21,tree),tree)) | nil(tree) = sF21 | nil(tree) = cons_proj_21(tree,sF21) | (~spl29_18 | spl29_332)), 20.85/3.47 inference(subsumption_resolution,[],[f21516,f486])). 20.85/3.47 tff(f21516,plain,( 20.85/3.47 ~distinct(tree,sF21) | nil(tree) = cons_proj_21(tree,sF21) | empty1 != tb2t2(sK19(sK17(sF21,tree),tree)) | nil(tree) = sF21 | spl29_332), 20.85/3.47 inference(superposition,[],[f16810,f4024])). 20.85/3.47 tff(f16810,plain,( 20.85/3.47 empty1 != tb2t2(sK19(cons_proj_21(tree,sF21),tree)) | spl29_332), 20.85/3.47 inference(avatar_component_clause,[],[f16808])). 20.85/3.47 tff(f21561,plain,( 20.85/3.47 ~spl29_350 | spl29_313 | spl29_118 | ~spl29_15 | spl29_326), 20.85/3.47 inference(avatar_split_clause,[],[f21550,f16604,f469,f2345,f16502,f19580])). 20.85/3.47 tff(f19580,definition,( 20.85/3.47 spl29_350 <=> empty1 = tb2t2(sK19(sK17(sF23,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_350])],[avatar_definition])). 20.85/3.47 tff(f16502,definition,( 20.85/3.47 spl29_313 <=> nil(tree) = cons_proj_21(tree,sF23)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_313])],[avatar_definition])). 20.85/3.47 tff(f2345,definition,( 20.85/3.47 spl29_118 <=> nil(tree) = sF23), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_118])],[avatar_definition])). 20.85/3.47 tff(f469,definition,( 20.85/3.47 spl29_15 <=> distinct(tree,sF23)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_15])],[avatar_definition])). 20.85/3.47 tff(f16604,definition,( 20.85/3.47 spl29_326 <=> empty1 = tb2t2(sK19(cons_proj_21(tree,sF23),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_326])],[avatar_definition])). 20.85/3.47 tff(f21550,plain,( 20.85/3.47 nil(tree) = sF23 | nil(tree) = cons_proj_21(tree,sF23) | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | (~spl29_15 | spl29_326)), 20.85/3.47 inference(subsumption_resolution,[],[f21522,f471])). 20.85/3.47 tff(f471,plain,( 20.85/3.47 distinct(tree,sF23) | ~spl29_15), 20.85/3.47 inference(avatar_component_clause,[],[f469])). 20.85/3.47 tff(f21522,plain,( 20.85/3.47 ~distinct(tree,sF23) | nil(tree) = sF23 | nil(tree) = cons_proj_21(tree,sF23) | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | spl29_326), 20.85/3.47 inference(superposition,[],[f16606,f4024])). 20.85/3.47 tff(f16606,plain,( 20.85/3.47 empty1 != tb2t2(sK19(cons_proj_21(tree,sF23),tree)) | spl29_326), 20.85/3.47 inference(avatar_component_clause,[],[f16604])). 20.85/3.47 tff(f21560,plain,( 20.85/3.47 spl29_311 | ~spl29_348 | spl29_115 | ~spl29_21 | spl29_320), 20.85/3.47 inference(avatar_split_clause,[],[f21547,f16557,f499,f2332,f19570,f16490])). 20.85/3.47 tff(f16490,definition,( 20.85/3.47 spl29_311 <=> nil(tree) = cons_proj_21(tree,sF22)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_311])],[avatar_definition])). 20.85/3.47 tff(f19570,definition,( 20.85/3.47 spl29_348 <=> empty1 = tb2t2(sK19(sK17(sF22,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_348])],[avatar_definition])). 20.85/3.47 tff(f2332,definition,( 20.85/3.47 spl29_115 <=> nil(tree) = sF22), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_115])],[avatar_definition])). 20.85/3.47 tff(f499,definition,( 20.85/3.47 spl29_21 <=> distinct(tree,sF22)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_21])],[avatar_definition])). 20.85/3.47 tff(f16557,definition,( 20.85/3.47 spl29_320 <=> empty1 = tb2t2(sK19(cons_proj_21(tree,sF22),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_320])],[avatar_definition])). 20.85/3.47 tff(f21547,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF22) | nil(tree) = sF22 | empty1 != tb2t2(sK19(sK17(sF22,tree),tree)) | (~spl29_21 | spl29_320)), 20.85/3.47 inference(subsumption_resolution,[],[f21520,f501])). 20.85/3.47 tff(f501,plain,( 20.85/3.47 distinct(tree,sF22) | ~spl29_21), 20.85/3.47 inference(avatar_component_clause,[],[f499])). 20.85/3.47 tff(f21520,plain,( 20.85/3.47 empty1 != tb2t2(sK19(sK17(sF22,tree),tree)) | nil(tree) = sF22 | nil(tree) = cons_proj_21(tree,sF22) | ~distinct(tree,sF22) | spl29_320), 20.85/3.47 inference(superposition,[],[f16559,f4024])). 20.85/3.47 tff(f16559,plain,( 20.85/3.47 empty1 != tb2t2(sK19(cons_proj_21(tree,sF22),tree)) | spl29_320), 20.85/3.47 inference(avatar_component_clause,[],[f16557])). 20.85/3.47 tff(f21435,plain,( 20.85/3.47 spl29_363 | ~spl29_53 | ~spl29_359), 20.85/3.47 inference(avatar_split_clause,[],[f21432,f19661,f1019,f19682])). 20.85/3.47 tff(f19682,definition,( 20.85/3.47 spl29_363 <=> sK18(sF26,tree) = sF25), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_363])],[avatar_definition])). 20.85/3.47 tff(f1019,definition,( 20.85/3.47 spl29_53 <=> cons_proj_11(tree,sF26) = sF25), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_53])],[avatar_definition])). 20.85/3.47 tff(f19661,definition,( 20.85/3.47 spl29_359 <=> sF26 = cons(tree,sK18(sF26,tree),sF20)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_359])],[avatar_definition])). 20.85/3.47 tff(f21432,plain,( 20.85/3.47 sK18(sF26,tree) = sF25 | (~spl29_53 | ~spl29_359)), 20.85/3.47 inference(forward_demodulation,[],[f21421,f1021])). 20.85/3.47 tff(f1021,plain,( 20.85/3.47 cons_proj_11(tree,sF26) = sF25 | ~spl29_53), 20.85/3.47 inference(avatar_component_clause,[],[f1019])). 20.85/3.47 tff(f21421,plain,( 20.85/3.47 sK18(sF26,tree) = cons_proj_11(tree,sF26) | ~spl29_359), 20.85/3.47 inference(subsumption_resolution,[],[f21383,f663])). 20.85/3.47 tff(f663,plain,( 20.85/3.47 ( ! [X0 : uni] : (sort1(tree,X0)) )), 20.85/3.47 inference(superposition,[],[f335,f337])). 20.85/3.47 tff(f337,plain,( 20.85/3.47 ( ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0) )), 20.85/3.47 inference(cnf_transformation,[],[f125])). 20.85/3.47 tff(f125,plain,( 20.85/3.47 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 20.85/3.47 inference(rectify,[],[f39])). 20.85/3.47 tff(f39,axiom,( 20.85/3.47 ! [X9 : uni] : t2tb2(tb2t2(X9)) = X9), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f335,plain,( 20.85/3.47 ( ! [X0 : tree1] : (sort1(tree,t2tb2(X0))) )), 20.85/3.47 inference(cnf_transformation,[],[f95])). 20.85/3.47 tff(f95,plain,( 20.85/3.47 ! [X0 : tree1] : sort1(tree,t2tb2(X0))), 20.85/3.47 inference(rectify,[],[f60])). 20.85/3.47 tff(f60,axiom,( 20.85/3.47 ! [X6 : tree1] : sort1(tree,t2tb2(X6))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f21383,plain,( 20.85/3.47 ~sort1(tree,sK18(sF26,tree)) | sK18(sF26,tree) = cons_proj_11(tree,sF26) | ~spl29_359), 20.85/3.47 inference(superposition,[],[f308,f19663])). 20.85/3.47 tff(f19663,plain,( 20.85/3.47 sF26 = cons(tree,sK18(sF26,tree),sF20) | ~spl29_359), 20.85/3.47 inference(avatar_component_clause,[],[f19661])). 20.85/3.47 tff(f308,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1)) )), 20.85/3.47 inference(cnf_transformation,[],[f217])). 20.85/3.47 tff(f217,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1))), 20.85/3.47 inference(rectify,[],[f172])). 20.85/3.47 tff(f172,plain,( 20.85/3.47 ! [X2 : ty,X1 : uni,X0 : uni] : (cons_proj_11(X2,cons(X2,X1,X0)) = X1 | ~sort1(X2,X1))), 20.85/3.47 inference(ennf_transformation,[],[f91])). 20.85/3.47 tff(f91,plain,( 20.85/3.47 ! [X0 : uni,X1 : uni,X2 : ty] : (sort1(X2,X1) => cons_proj_11(X2,cons(X2,X1,X0)) = X1)), 20.85/3.47 inference(rectify,[],[f3])). 20.85/3.47 tff(f3,axiom,( 20.85/3.47 ! [X5 : uni,X4 : uni,X0 : ty] : (sort1(X0,X4) => cons_proj_11(X0,cons(X0,X4,X5)) = X4)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f21434,plain,( 20.85/3.47 spl29_357 | ~spl29_20 | ~spl29_53 | ~spl29_359), 20.85/3.47 inference(avatar_split_clause,[],[f21431,f19661,f1019,f494,f19653])). 20.85/3.47 tff(f19653,definition,( 20.85/3.47 spl29_357 <=> ! [X0 : uni] : cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = infix_plpl(tree,sF26,X0)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_357])],[avatar_definition])). 20.85/3.47 tff(f494,definition,( 20.85/3.47 spl29_20 <=> sF26 = cons(tree,sF25,sF20)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_20])],[avatar_definition])). 20.85/3.47 tff(f21431,plain,( 20.85/3.47 ( ! [X0 : uni] : (cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = infix_plpl(tree,sF26,X0)) ) | (~spl29_20 | ~spl29_53 | ~spl29_359)), 20.85/3.47 inference(forward_demodulation,[],[f21420,f1266])). 20.85/3.47 tff(f1266,plain,( 20.85/3.47 ( ! [X0 : uni] : (infix_plpl(tree,sF26,X0) = cons(tree,sF25,infix_plpl(tree,sF20,X0))) ) | ~spl29_20), 20.85/3.47 inference(superposition,[],[f254,f496])). 20.85/3.47 tff(f496,plain,( 20.85/3.47 sF26 = cons(tree,sF25,sF20) | ~spl29_20), 20.85/3.47 inference(avatar_component_clause,[],[f494])). 20.85/3.47 tff(f254,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1)) )), 20.85/3.47 inference(cnf_transformation,[],[f185])). 20.85/3.47 tff(f185,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni] : (infix_plpl(X0,nil(X0),X1) = X1 & ! [X2 : uni,X3 : uni] : cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1))), 20.85/3.47 inference(rectify,[],[f143])). 20.85/3.47 tff(f143,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni] : (infix_plpl(X0,nil(X0),X1) = X1 & ! [X3 : uni,X2 : uni] : cons(X0,X3,infix_plpl(X0,X2,X1)) = infix_plpl(X0,cons(X0,X3,X2),X1))), 20.85/3.47 inference(rectify,[],[f6])). 20.85/3.47 tff(f6,axiom,( 20.85/3.47 ! [X0 : ty,X7 : uni] : (! [X8 : uni,X6 : uni] : infix_plpl(X0,cons(X0,X6,X8),X7) = cons(X0,X6,infix_plpl(X0,X8,X7)) & infix_plpl(X0,nil(X0),X7) = X7)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f21420,plain,( 20.85/3.47 ( ! [X0 : uni] : (cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = cons(tree,sF25,infix_plpl(tree,sF20,X0))) ) | (~spl29_53 | ~spl29_359)), 20.85/3.47 inference(forward_demodulation,[],[f21402,f1021])). 20.85/3.47 tff(f21402,plain,( 20.85/3.47 ( ! [X0 : uni] : (cons(tree,cons_proj_11(tree,sF26),infix_plpl(tree,sF20,X0)) = cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0))) ) | ~spl29_359), 20.85/3.47 inference(superposition,[],[f2885,f19663])). 20.85/3.47 tff(f2885,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (cons(X0,cons_proj_11(X0,cons(X0,X1,X2)),infix_plpl(X0,X2,X3)) = cons(X0,X1,infix_plpl(X0,X2,X3))) )), 20.85/3.47 inference(forward_demodulation,[],[f2869,f254])). 20.85/3.47 tff(f2869,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (infix_plpl(X0,cons(X0,X1,X2),X3) = cons(X0,cons_proj_11(X0,cons(X0,X1,X2)),infix_plpl(X0,X2,X3))) )), 20.85/3.47 inference(superposition,[],[f254,f1251])). 20.85/3.47 tff(f1251,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (cons(X1,cons_proj_11(X1,cons(X1,X2,X0)),X0) = cons(X1,X2,X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1243,f338])). 20.85/3.47 tff(f338,plain,( 20.85/3.47 ( ! [X2 : ty,X0 : uni,X1 : uni] : (nil(X2) != cons(X2,X0,X1)) )), 20.85/3.47 inference(cnf_transformation,[],[f139])). 20.85/3.47 tff(f139,plain,( 20.85/3.47 ! [X0 : uni,X1 : uni,X2 : ty] : nil(X2) != cons(X2,X0,X1)), 20.85/3.47 inference(rectify,[],[f23])). 20.85/3.47 tff(f23,axiom,( 20.85/3.47 ! [X22 : uni,X23 : uni,X0 : ty] : nil(X0) != cons(X0,X22,X23)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f1243,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (cons(X1,X2,X0) = nil(X1) | cons(X1,cons_proj_11(X1,cons(X1,X2,X0)),X0) = cons(X1,X2,X0)) )), 20.85/3.47 inference(superposition,[],[f322,f328])). 20.85/3.47 tff(f322,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1 | nil(X0) = X1) )), 20.85/3.47 inference(cnf_transformation,[],[f132])). 20.85/3.47 tff(f132,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1)), 20.85/3.47 inference(rectify,[],[f14])). 20.85/3.47 tff(f14,axiom,( 20.85/3.47 ! [X0 : ty,X4 : uni] : (nil(X0) = X4 | cons(X0,cons_proj_11(X0,X4),cons_proj_21(X0,X4)) = X4)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f21430,plain,( 20.85/3.47 spl29_404 | ~spl29_352 | ~spl29_359), 20.85/3.47 inference(avatar_split_clause,[],[f21419,f19661,f19592,f21427])). 20.85/3.47 tff(f21427,definition,( 20.85/3.47 spl29_404 <=> 2 = $sum(2,length2(tree,sF20))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_404])],[avatar_definition])). 20.85/3.47 tff(f19592,definition,( 20.85/3.47 spl29_352 <=> 1 = length2(tree,sF26)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_352])],[avatar_definition])). 20.85/3.47 tff(f21419,plain,( 20.85/3.47 2 = $sum(2,length2(tree,sF20)) | (~spl29_352 | ~spl29_359)), 20.85/3.47 inference(evaluation,[],[f21418])). 20.85/3.47 tff(f21418,plain,( 20.85/3.47 $sum(2,length2(tree,sF20)) = $sum(1,1) | (~spl29_352 | ~spl29_359)), 20.85/3.47 inference(forward_demodulation,[],[f21410,f19594])). 20.85/3.47 tff(f19594,plain,( 20.85/3.47 1 = length2(tree,sF26) | ~spl29_352), 20.85/3.47 inference(avatar_component_clause,[],[f19592])). 20.85/3.47 tff(f21410,plain,( 20.85/3.47 $sum(1,length2(tree,sF26)) = $sum(2,length2(tree,sF20)) | ~spl29_359), 20.85/3.47 inference(superposition,[],[f14823,f19663])). 20.85/3.47 tff(f14823,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($sum(1,length2(X0,cons(X0,X1,X2))) = $sum(2,length2(X0,X2))) )), 20.85/3.47 inference(forward_demodulation,[],[f2664,f3603])). 20.85/3.47 tff(f3603,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (length2(X0,cons(X0,X3,cons(X0,X1,X2))) = $sum(2,length2(X0,X2))) )), 20.85/3.47 inference(forward_demodulation,[],[f3591,f255])). 20.85/3.47 tff(f255,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 20.85/3.47 inference(cnf_transformation,[],[f185])). 20.85/3.47 tff(f3591,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (length2(X0,cons(X0,X3,cons(X0,X1,infix_plpl(X0,nil(X0),X2)))) = $sum(2,length2(X0,X2))) )), 20.85/3.47 inference(forward_demodulation,[],[f3578,f254])). 20.85/3.47 tff(f3578,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : ($sum(2,length2(X0,X2)) = length2(X0,cons(X0,X3,infix_plpl(X0,cons(X0,X1,nil(X0)),X2)))) )), 20.85/3.47 inference(evaluation,[],[f3536])). 20.85/3.47 tff(f3536,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : ($sum($sum(1,1),length2(X0,X2)) = length2(X0,cons(X0,X3,infix_plpl(X0,cons(X0,X1,nil(X0)),X2)))) )), 20.85/3.47 inference(superposition,[],[f3315,f1190])). 20.85/3.47 tff(f1190,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (1 = length2(X0,cons(X0,X1,nil(X0)))) )), 20.85/3.47 inference(evaluation,[],[f1184])). 20.85/3.47 tff(f1184,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (length2(X0,cons(X0,X1,nil(X0))) = $sum(1,0)) )), 20.85/3.47 inference(superposition,[],[f351,f350])). 20.85/3.47 tff(f350,plain,( 20.85/3.47 ( ! [X0 : ty] : (0 = length2(X0,nil(X0))) )), 20.85/3.47 inference(cnf_transformation,[],[f98])). 20.85/3.47 tff(f98,plain,( 20.85/3.47 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : $sum(1,length2(X0,X2)) = length2(X0,cons(X0,X1,X2)) & 0 = length2(X0,nil(X0)))), 20.85/3.47 inference(rectify,[],[f35])). 20.85/3.47 tff(f35,axiom,( 20.85/3.47 ! [X0 : ty] : (0 = length2(X0,nil(X0)) & ! [X6 : uni,X8 : uni] : length2(X0,cons(X0,X6,X8)) = $sum(1,length2(X0,X8)))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f351,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($sum(1,length2(X0,X2)) = length2(X0,cons(X0,X1,X2))) )), 20.85/3.47 inference(cnf_transformation,[],[f98])). 20.85/3.47 tff(f3315,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : ($sum($sum(1,length2(X0,X1)),length2(X0,X3)) = length2(X0,cons(X0,X2,infix_plpl(X0,X1,X3)))) )), 20.85/3.47 inference(forward_demodulation,[],[f1261,f254])). 20.85/3.47 tff(f1261,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : ($sum($sum(1,length2(X0,X1)),length2(X0,X3)) = length2(X0,infix_plpl(X0,cons(X0,X2,X1),X3))) )), 20.85/3.47 inference(superposition,[],[f360,f351])). 20.85/3.47 tff(f360,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($sum(length2(X0,X2),length2(X0,X1)) = length2(X0,infix_plpl(X0,X2,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f244])). 20.85/3.47 tff(f244,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni,X2 : uni] : $sum(length2(X0,X2),length2(X0,X1)) = length2(X0,infix_plpl(X0,X2,X1))), 20.85/3.47 inference(rectify,[],[f142])). 20.85/3.47 tff(f142,plain,( 20.85/3.47 ! [X1 : ty,X2 : uni,X0 : uni] : length2(X1,infix_plpl(X1,X0,X2)) = $sum(length2(X1,X0),length2(X1,X2))), 20.85/3.47 inference(rectify,[],[f25])). 20.85/3.47 tff(f25,axiom,( 20.85/3.47 ! [X15 : uni,X0 : ty,X7 : uni] : length2(X0,infix_plpl(X0,X15,X7)) = $sum(length2(X0,X15),length2(X0,X7))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f2664,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni,X4 : uni] : (length2(X0,cons(X0,X4,cons(X0,X3,X2))) = $sum(1,length2(X0,cons(X0,X1,X2)))) )), 20.85/3.47 inference(superposition,[],[f351,f1186])). 20.85/3.47 tff(f1186,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (length2(X0,cons(X0,X3,X2)) = length2(X0,cons(X0,X1,X2))) )), 20.85/3.47 inference(superposition,[],[f351,f351])). 20.85/3.47 tff(f21413,plain,( 20.85/3.47 spl29_357 | ~spl29_359), 20.85/3.47 inference(avatar_split_clause,[],[f21379,f19661,f19653])). 20.85/3.47 tff(f21379,plain,( 20.85/3.47 ( ! [X0 : uni] : (cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = infix_plpl(tree,sF26,X0)) ) | ~spl29_359), 20.85/3.47 inference(superposition,[],[f254,f19663])). 20.85/3.47 tff(f21319,plain,( 20.85/3.47 spl29_389 | spl29_403 | ~spl29_350 | ~spl29_150 | spl29_347), 20.85/3.47 inference(avatar_split_clause,[],[f21308,f19565,f3275,f19580,f21316,f20737])). 20.85/3.47 tff(f20737,definition,( 20.85/3.47 spl29_389 <=> nil(tree) = sK17(sF23,tree)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_389])],[avatar_definition])). 20.85/3.47 tff(f21316,definition,( 20.85/3.47 spl29_403 <=> mem(tree,sK18(sK17(sF23,tree),tree),sK17(sF23,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_403])],[avatar_definition])). 20.85/3.47 tff(f3275,definition,( 20.85/3.47 spl29_150 <=> distinct(tree,sK17(sF23,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_150])],[avatar_definition])). 20.85/3.47 tff(f19565,definition,( 20.85/3.47 spl29_347 <=> empty1 = tb2t2(cons_proj_11(tree,sK17(sF23,tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_347])],[avatar_definition])). 20.85/3.47 tff(f21308,plain,( 20.85/3.47 nil(tree) = sK17(sF23,tree) | mem(tree,sK18(sK17(sF23,tree),tree),sK17(sF23,tree)) | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | (~spl29_150 | spl29_347)), 20.85/3.47 inference(subsumption_resolution,[],[f21270,f3277])). 20.85/3.47 tff(f3277,plain,( 20.85/3.47 distinct(tree,sK17(sF23,tree)) | ~spl29_150), 20.85/3.47 inference(avatar_component_clause,[],[f3275])). 20.85/3.47 tff(f21270,plain,( 20.85/3.47 nil(tree) = sK17(sF23,tree) | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | mem(tree,sK18(sK17(sF23,tree),tree),sK17(sF23,tree)) | ~distinct(tree,sK17(sF23,tree)) | spl29_347), 20.85/3.47 inference(superposition,[],[f19567,f3799])). 20.85/3.47 tff(f3799,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons_proj_11(X1,X0) = sK19(X0,X1) | ~distinct(X1,X0) | nil(X1) = X0 | mem(X1,sK18(X0,X1),X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f3785,f1417])). 20.85/3.47 tff(f1417,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (mem(X1,sK18(X0,X1),X0) | sort1(X1,sK19(X0,X1)) | nil(X1) = X0 | ~distinct(X1,X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1416,f344])). 20.85/3.47 tff(f344,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (sort1(X1,sK19(X0,X1)) | ~distinct(X1,X0) | nil(X1) = X0 | sort1(X1,sK18(X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f1416,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (mem(X1,sK18(X0,X1),X0) | ~distinct(X1,X0) | ~sort1(X1,sK18(X0,X1)) | nil(X1) = X0 | sort1(X1,sK19(X0,X1))) )), 20.85/3.47 inference(superposition,[],[f397,f340])). 20.85/3.47 tff(f340,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK18(X0,X1),sK17(X0,X1)) = X0 | nil(X1) = X0 | ~distinct(X1,X0) | sort1(X1,sK19(X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f397,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X1 : ty] : (mem(X1,X3,cons(X1,X3,X2)) | ~sort1(X1,X3)) )), 20.85/3.47 inference(duplicate_literal_removal,[],[f373])). 20.85/3.47 tff(f373,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X1 : ty] : (~sort1(X1,X3) | mem(X1,X3,cons(X1,X3,X2)) | ~sort1(X1,X3)) )), 20.85/3.47 inference(equality_resolution,[],[f355])). 20.85/3.47 tff(f355,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X3) | mem(X1,X0,cons(X1,X3,X2)) | X0 != X3 | ~sort1(X1,X0)) )), 20.85/3.47 inference(cnf_transformation,[],[f242])). 20.85/3.47 tff(f242,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : ((~mem(X1,X0,nil(X1)) & ! [X2 : uni,X3 : uni] : (~sort1(X1,X3) | ((mem(X1,X0,X2) | X0 = X3 | ~mem(X1,X0,cons(X1,X3,X2))) & (mem(X1,X0,cons(X1,X3,X2)) | (~mem(X1,X0,X2) & X0 != X3))))) | ~sort1(X1,X0))), 20.85/3.47 inference(rectify,[],[f241])). 20.85/3.47 tff(f241,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : ((~mem(X1,X0,nil(X1)) & ! [X3 : uni,X2 : uni] : (~sort1(X1,X2) | ((mem(X1,X0,X3) | X0 = X2 | ~mem(X1,X0,cons(X1,X2,X3))) & (mem(X1,X0,cons(X1,X2,X3)) | (~mem(X1,X0,X3) & X0 != X2))))) | ~sort1(X1,X0))), 20.85/3.47 inference(flattening,[],[f240])). 20.85/3.47 tff(f240,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : ((~mem(X1,X0,nil(X1)) & ! [X3 : uni,X2 : uni] : (~sort1(X1,X2) | (((mem(X1,X0,X3) | X0 = X2) | ~mem(X1,X0,cons(X1,X2,X3))) & (mem(X1,X0,cons(X1,X2,X3)) | (~mem(X1,X0,X3) & X0 != X2))))) | ~sort1(X1,X0))), 20.85/3.47 inference(nnf_transformation,[],[f160])). 20.85/3.47 tff(f160,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : ((~mem(X1,X0,nil(X1)) & ! [X3 : uni,X2 : uni] : (~sort1(X1,X2) | ((mem(X1,X0,X3) | X0 = X2) <=> mem(X1,X0,cons(X1,X2,X3))))) | ~sort1(X1,X0))), 20.85/3.47 inference(ennf_transformation,[],[f149])). 20.85/3.47 tff(f149,plain,( 20.85/3.47 ! [X1 : ty,X0 : uni] : (sort1(X1,X0) => (! [X2 : uni,X3 : uni] : (sort1(X1,X2) => ((mem(X1,X0,X3) | X0 = X2) <=> mem(X1,X0,cons(X1,X2,X3)))) & ~mem(X1,X0,nil(X1))))), 20.85/3.47 inference(rectify,[],[f70])). 20.85/3.47 tff(f70,axiom,( 20.85/3.47 ! [X6 : uni,X0 : ty] : (sort1(X0,X6) => (! [X8 : uni,X14 : uni] : (sort1(X0,X8) => ((X6 = X8 | mem(X0,X6,X14)) <=> mem(X0,X6,cons(X0,X8,X14)))) & ~mem(X0,X6,nil(X0))))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f3785,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (nil(X1) = X0 | mem(X1,sK18(X0,X1),X0) | cons_proj_11(X1,X0) = sK19(X0,X1) | ~distinct(X1,X0) | ~sort1(X1,sK19(X0,X1))) )), 20.85/3.47 inference(superposition,[],[f308,f1474])). 20.85/3.47 tff(f1474,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK19(X0,X1),nil(X1)) = X0 | mem(X1,sK18(X0,X1),X0) | ~distinct(X1,X0) | nil(X1) = X0) )), 20.85/3.47 inference(subsumption_resolution,[],[f1471,f345])). 20.85/3.47 tff(f345,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK19(X0,X1),nil(X1)) = X0 | ~distinct(X1,X0) | sort1(X1,sK18(X0,X1)) | nil(X1) = X0) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f1471,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~distinct(X1,X0) | ~sort1(X1,sK18(X0,X1)) | cons(X1,sK19(X0,X1),nil(X1)) = X0 | mem(X1,sK18(X0,X1),X0) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f397,f341])). 20.85/3.47 tff(f19567,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,sK17(sF23,tree))) | spl29_347), 20.85/3.47 inference(avatar_component_clause,[],[f19565])). 20.85/3.47 tff(f21313,plain,( 20.85/3.47 spl29_398 | ~spl29_149 | spl29_402 | ~spl29_348 | spl29_349), 20.85/3.47 inference(avatar_split_clause,[],[f21271,f19575,f19570,f21310,f3270,f21217])). 20.85/3.47 tff(f21217,definition,( 20.85/3.47 spl29_398 <=> nil(tree) = sK17(sF22,tree)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_398])],[avatar_definition])). 20.85/3.47 tff(f3270,definition,( 20.85/3.47 spl29_149 <=> distinct(tree,sK17(sF22,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_149])],[avatar_definition])). 20.85/3.47 tff(f21310,definition,( 20.85/3.47 spl29_402 <=> mem(tree,sK18(sK17(sF22,tree),tree),sK17(sF22,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_402])],[avatar_definition])). 20.85/3.47 tff(f19575,definition,( 20.85/3.47 spl29_349 <=> empty1 = tb2t2(cons_proj_11(tree,sK17(sF22,tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_349])],[avatar_definition])). 20.85/3.47 tff(f21271,plain,( 20.85/3.47 nil(tree) = sK17(sF22,tree) | ~distinct(tree,sK17(sF22,tree)) | empty1 != tb2t2(sK19(sK17(sF22,tree),tree)) | mem(tree,sK18(sK17(sF22,tree),tree),sK17(sF22,tree)) | spl29_349), 20.85/3.47 inference(superposition,[],[f19577,f3799])). 20.85/3.47 tff(f19577,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,sK17(sF22,tree))) | spl29_349), 20.85/3.47 inference(avatar_component_clause,[],[f19575])). 20.85/3.47 tff(f21240,plain,( 20.85/3.47 spl29_401 | spl29_115 | ~spl29_21 | spl29_149), 20.85/3.47 inference(avatar_split_clause,[],[f21235,f3270,f499,f2332,f21238])). 20.85/3.47 tff(f21238,definition,( 20.85/3.47 spl29_401 <=> ! [X0 : uni] : (~mem(tree,X0,sF22) | sK19(sF22,tree) = X0)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_401])],[avatar_definition])). 20.85/3.47 tff(f21235,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,X0,sF22) | nil(tree) = sF22 | sK19(sF22,tree) = X0) ) | (~spl29_21 | spl29_149)), 20.85/3.47 inference(subsumption_resolution,[],[f21233,f663])). 20.85/3.47 tff(f21233,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,X0,sF22) | ~sort1(tree,X0) | nil(tree) = sF22 | sK19(sF22,tree) = X0) ) | (~spl29_21 | spl29_149)), 20.85/3.47 inference(subsumption_resolution,[],[f21230,f501])). 20.85/3.47 tff(f21230,plain,( 20.85/3.47 ( ! [X0 : uni] : (~distinct(tree,sF22) | nil(tree) = sF22 | ~sort1(tree,X0) | sK19(sF22,tree) = X0 | ~mem(tree,X0,sF22)) ) | spl29_149), 20.85/3.47 inference(resolution,[],[f3271,f1405])). 20.85/3.47 tff(f1405,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (distinct(X1,sK17(X0,X1)) | sK19(X0,X1) = X2 | nil(X1) = X0 | ~distinct(X1,X0) | ~sort1(X1,X2) | ~mem(X1,X2,X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1398,f358])). 20.85/3.47 tff(f358,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,X0,nil(X1)) | ~sort1(X1,X0)) )), 20.85/3.47 inference(cnf_transformation,[],[f242])). 20.85/3.47 tff(f1398,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X2) | ~mem(X1,X2,X0) | ~distinct(X1,X0) | distinct(X1,sK17(X0,X1)) | sK19(X0,X1) = X2 | mem(X1,X2,nil(X1)) | nil(X1) = X0) )), 20.85/3.47 inference(subsumption_resolution,[],[f1396,f346])). 20.85/3.47 tff(f346,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (distinct(X1,sK17(X0,X1)) | ~distinct(X1,X0) | nil(X1) = X0 | sort1(X1,sK19(X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f1396,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (nil(X1) = X0 | ~sort1(X1,X2) | ~distinct(X1,X0) | mem(X1,X2,nil(X1)) | ~sort1(X1,sK19(X0,X1)) | distinct(X1,sK17(X0,X1)) | ~mem(X1,X2,X0) | sK19(X0,X1) = X2) )), 20.85/3.47 inference(superposition,[],[f357,f347])). 20.85/3.47 tff(f347,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK19(X0,X1),nil(X1)) = X0 | ~distinct(X1,X0) | nil(X1) = X0 | distinct(X1,sK17(X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f357,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (~mem(X1,X0,cons(X1,X3,X2)) | mem(X1,X0,X2) | ~sort1(X1,X3) | ~sort1(X1,X0) | X0 = X3) )), 20.85/3.47 inference(cnf_transformation,[],[f242])). 20.85/3.47 tff(f3271,plain,( 20.85/3.47 ~distinct(tree,sK17(sF22,tree)) | spl29_149), 20.85/3.47 inference(avatar_component_clause,[],[f3270])). 20.85/3.47 tff(f21236,plain,( 20.85/3.47 spl29_115 | spl29_337 | ~spl29_21 | spl29_149), 20.85/3.47 inference(avatar_split_clause,[],[f21234,f3270,f499,f16928,f2332])). 20.85/3.47 tff(f16928,definition,( 20.85/3.47 spl29_337 <=> 1 = length2(tree,sF22)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_337])],[avatar_definition])). 20.85/3.47 tff(f21234,plain,( 20.85/3.47 nil(tree) = sF22 | 1 = length2(tree,sF22) | (~spl29_21 | spl29_149)), 20.85/3.47 inference(subsumption_resolution,[],[f21231,f501])). 20.85/3.47 tff(f21231,plain,( 20.85/3.47 1 = length2(tree,sF22) | ~distinct(tree,sF22) | nil(tree) = sF22 | spl29_149), 20.85/3.47 inference(resolution,[],[f3271,f1404])). 20.85/3.47 tff(f1404,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (distinct(X1,sK17(X0,X1)) | nil(X1) = X0 | 1 = length2(X1,X0) | ~distinct(X1,X0)) )), 20.85/3.47 inference(evaluation,[],[f1403])). 20.85/3.47 tff(f1403,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~distinct(X1,X0) | distinct(X1,sK17(X0,X1)) | nil(X1) = X0 | length2(X1,X0) = $sum(1,0)) )), 20.85/3.47 inference(forward_demodulation,[],[f1394,f350])). 20.85/3.47 tff(f1394,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (distinct(X1,sK17(X0,X1)) | length2(X1,X0) = $sum(1,length2(X1,nil(X1))) | nil(X1) = X0 | ~distinct(X1,X0)) )), 20.85/3.47 inference(superposition,[],[f351,f347])). 20.85/3.47 tff(f21229,plain,( 20.85/3.47 spl29_400 | ~spl29_348 | ~spl29_149 | spl29_398 | spl29_349), 20.85/3.47 inference(avatar_split_clause,[],[f21210,f19575,f21217,f3270,f19570,f21226])). 20.85/3.47 tff(f21226,definition,( 20.85/3.47 spl29_400 <=> distinct(tree,sK17(sK17(sF22,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_400])],[avatar_definition])). 20.85/3.47 tff(f21210,plain,( 20.85/3.47 empty1 != tb2t2(sK19(sK17(sF22,tree),tree)) | distinct(tree,sK17(sK17(sF22,tree),tree)) | nil(tree) = sK17(sF22,tree) | ~distinct(tree,sK17(sF22,tree)) | spl29_349), 20.85/3.47 inference(superposition,[],[f19577,f1399])). 20.85/3.47 tff(f1399,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons_proj_11(X1,X0) = sK19(X0,X1) | distinct(X1,sK17(X0,X1)) | nil(X1) = X0 | ~distinct(X1,X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1391,f346])). 20.85/3.47 tff(f1391,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~distinct(X1,X0) | nil(X1) = X0 | cons_proj_11(X1,X0) = sK19(X0,X1) | ~sort1(X1,sK19(X0,X1)) | distinct(X1,sK17(X0,X1))) )), 20.85/3.47 inference(superposition,[],[f308,f347])). 20.85/3.47 tff(f21224,plain,( 20.85/3.47 ~spl29_149 | spl29_397 | spl29_398 | ~spl29_399 | spl29_349), 20.85/3.47 inference(avatar_split_clause,[],[f21208,f19575,f21221,f21217,f21213,f3270])). 20.85/3.47 tff(f21213,definition,( 20.85/3.47 spl29_397 <=> 1 = length2(tree,sK17(sF22,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_397])],[avatar_definition])). 20.85/3.47 tff(f21221,definition,( 20.85/3.47 spl29_399 <=> empty1 = tb2t2(sK18(sK17(sF22,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_399])],[avatar_definition])). 20.85/3.47 tff(f21208,plain,( 20.85/3.47 1 = length2(tree,sK17(sF22,tree)) | nil(tree) = sK17(sF22,tree) | empty1 != tb2t2(sK18(sK17(sF22,tree),tree)) | ~distinct(tree,sK17(sF22,tree)) | spl29_349), 20.85/3.47 inference(superposition,[],[f19577,f4080])). 20.85/3.47 tff(f4080,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (sK18(X0,X1) = cons_proj_11(X1,X0) | 1 = length2(X1,X0) | ~distinct(X1,X0) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f1190,f1472])). 20.85/3.47 tff(f1472,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK19(X0,X1),nil(X1)) = X0 | ~distinct(X1,X0) | sK18(X0,X1) = cons_proj_11(X1,X0) | nil(X1) = X0) )), 20.85/3.47 inference(subsumption_resolution,[],[f1465,f345])). 20.85/3.47 tff(f1465,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (sK18(X0,X1) = cons_proj_11(X1,X0) | ~sort1(X1,sK18(X0,X1)) | ~distinct(X1,X0) | nil(X1) = X0 | cons(X1,sK19(X0,X1),nil(X1)) = X0) )), 20.85/3.47 inference(superposition,[],[f308,f341])). 20.85/3.47 tff(f21090,plain,( 20.85/3.47 spl29_146 | spl29_396 | ~spl29_20 | ~spl29_23 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f21082,f19592,f509,f494,f21085,f3239])). 20.85/3.47 tff(f21085,definition,( 20.85/3.47 spl29_396 <=> distinct(tree,sK17(sF20,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_396])],[avatar_definition])). 20.85/3.47 tff(f509,definition,( 20.85/3.47 spl29_23 <=> distinct(tree,sF20)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_23])],[avatar_definition])). 20.85/3.47 tff(f21082,plain,( 20.85/3.47 nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | (~spl29_20 | ~spl29_23 | ~spl29_352)), 20.85/3.47 inference(evaluation,[],[f21081])). 20.85/3.47 tff(f21081,plain,( 20.85/3.47 distinct(tree,sK17(sF20,tree)) | nil(tree) = sF20 | 1 = 2 | (~spl29_20 | ~spl29_23 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f21067,f19594])). 20.85/3.47 tff(f21067,plain,( 20.85/3.47 length2(tree,sF26) = 2 | nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | (~spl29_20 | ~spl29_23)), 20.85/3.47 inference(subsumption_resolution,[],[f20954,f511])). 20.85/3.47 tff(f511,plain,( 20.85/3.47 distinct(tree,sF20) | ~spl29_23), 20.85/3.47 inference(avatar_component_clause,[],[f509])). 20.85/3.47 tff(f20954,plain,( 20.85/3.47 nil(tree) = sF20 | ~distinct(tree,sF20) | distinct(tree,sK17(sF20,tree)) | length2(tree,sF26) = 2 | ~spl29_20), 20.85/3.47 inference(superposition,[],[f3057,f496])). 20.85/3.47 tff(f3057,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (length2(X1,cons(X1,X2,X0)) = 2 | ~distinct(X1,X0) | distinct(X1,sK17(X0,X1)) | nil(X1) = X0) )), 20.85/3.47 inference(evaluation,[],[f3056])). 20.85/3.47 tff(f3056,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (nil(X1) = X0 | distinct(X1,sK17(X0,X1)) | $sum(1,$sum(1,0)) = length2(X1,cons(X1,X2,X0)) | ~distinct(X1,X0)) )), 20.85/3.47 inference(forward_demodulation,[],[f3026,f350])). 20.85/3.47 tff(f3026,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : ($sum(1,$sum(1,length2(X1,nil(X1)))) = length2(X1,cons(X1,X2,X0)) | distinct(X1,sK17(X0,X1)) | nil(X1) = X0 | ~distinct(X1,X0)) )), 20.85/3.47 inference(superposition,[],[f1185,f347])). 20.85/3.47 tff(f1185,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (length2(X0,cons(X0,X3,cons(X0,X2,X1))) = $sum(1,$sum(1,length2(X0,X1)))) )), 20.85/3.47 inference(superposition,[],[f351,f351])). 20.85/3.47 tff(f21089,plain,( 20.85/3.47 spl29_396 | spl29_146 | ~spl29_23 | ~spl29_54 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f21079,f19592,f1192,f509,f3239,f21085])). 20.85/3.47 tff(f1192,definition,( 20.85/3.47 spl29_54 <=> length2(tree,sF26) = $sum(1,length2(tree,sF20))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_54])],[avatar_definition])). 20.85/3.47 tff(f21079,plain,( 20.85/3.47 distinct(tree,sK17(sF20,tree)) | nil(tree) = sF20 | (~spl29_23 | ~spl29_54 | ~spl29_352)), 20.85/3.47 inference(evaluation,[],[f21078])). 20.85/3.47 tff(f21078,plain,( 20.85/3.47 1 = 2 | nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | (~spl29_23 | ~spl29_54 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f21061,f19594])). 20.85/3.47 tff(f21061,plain,( 20.85/3.47 length2(tree,sF26) = 2 | nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | (~spl29_23 | ~spl29_54)), 20.85/3.47 inference(subsumption_resolution,[],[f21027,f511])). 20.85/3.47 tff(f21027,plain,( 20.85/3.47 ~distinct(tree,sF20) | nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | length2(tree,sF26) = 2 | ~spl29_54), 20.85/3.47 inference(superposition,[],[f2251,f3057])). 20.85/3.47 tff(f2251,plain,( 20.85/3.47 ( ! [X0 : uni] : (length2(tree,sF26) = length2(tree,cons(tree,X0,sF20))) ) | ~spl29_54), 20.85/3.47 inference(superposition,[],[f1194,f351])). 20.85/3.47 tff(f1194,plain,( 20.85/3.47 length2(tree,sF26) = $sum(1,length2(tree,sF20)) | ~spl29_54), 20.85/3.47 inference(avatar_component_clause,[],[f1192])). 20.85/3.47 tff(f21088,plain,( 20.85/3.47 spl29_146 | spl29_396 | ~spl29_23 | ~spl29_54 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f21077,f19592,f1192,f509,f21085,f3239])). 20.85/3.47 tff(f21077,plain,( 20.85/3.47 nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | (~spl29_23 | ~spl29_54 | ~spl29_352)), 20.85/3.47 inference(evaluation,[],[f21076])). 20.85/3.47 tff(f21076,plain,( 20.85/3.47 nil(tree) = sF20 | 1 = 2 | distinct(tree,sK17(sF20,tree)) | (~spl29_23 | ~spl29_54 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f21060,f19594])). 20.85/3.47 tff(f21060,plain,( 20.85/3.47 length2(tree,sF26) = 2 | nil(tree) = sF20 | distinct(tree,sK17(sF20,tree)) | (~spl29_23 | ~spl29_54)), 20.85/3.47 inference(subsumption_resolution,[],[f20978,f511])). 20.85/3.47 tff(f20978,plain,( 20.85/3.47 length2(tree,sF26) = 2 | ~distinct(tree,sF20) | distinct(tree,sK17(sF20,tree)) | nil(tree) = sF20 | ~spl29_54), 20.85/3.47 inference(superposition,[],[f3057,f2251])). 20.85/3.47 tff(f20952,plain,( 20.85/3.47 spl29_395 | ~spl29_13 | spl29_142), 20.85/3.47 inference(avatar_split_clause,[],[f20943,f3076,f459,f20949])). 20.85/3.47 tff(f20949,definition,( 20.85/3.47 spl29_395 <=> $sum(1,length2(tree,sF24)) = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF24))))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_395])],[avatar_definition])). 20.85/3.47 tff(f459,definition,( 20.85/3.47 spl29_13 <=> infix_plpl(tree,sF23,sF22) = sF24), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_13])],[avatar_definition])). 20.85/3.47 tff(f3076,definition,( 20.85/3.47 spl29_142 <=> nil(tree) = sF24), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_142])],[avatar_definition])). 20.85/3.47 tff(f20943,plain,( 20.85/3.47 $sum(1,length2(tree,sF24)) = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF24)))) | (~spl29_13 | spl29_142)), 20.85/3.47 inference(forward_demodulation,[],[f20925,f461])). 20.85/3.47 tff(f461,plain,( 20.85/3.47 infix_plpl(tree,sF23,sF22) = sF24 | ~spl29_13), 20.85/3.47 inference(avatar_component_clause,[],[f459])). 20.85/3.47 tff(f20925,plain,( 20.85/3.47 $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF24)))) = $sum(1,length2(tree,infix_plpl(tree,sF23,sF22))) | (~spl29_13 | spl29_142)), 20.85/3.47 inference(forward_demodulation,[],[f20893,f3563])). 20.85/3.47 tff(f3563,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($sum($sum(1,length2(X0,X1)),length2(X0,X2)) = $sum(1,length2(X0,infix_plpl(X0,X1,X2)))) )), 20.85/3.47 inference(superposition,[],[f3315,f351])). 20.85/3.47 tff(f20893,plain,( 20.85/3.47 $sum($sum(1,length2(tree,sF23)),length2(tree,sF22)) = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF24)))) | (~spl29_13 | spl29_142)), 20.85/3.47 inference(subsumption_resolution,[],[f20851,f3077])). 20.85/3.47 tff(f3077,plain,( 20.85/3.47 nil(tree) != sF24 | spl29_142), 20.85/3.47 inference(avatar_component_clause,[],[f3076])). 20.85/3.47 tff(f20851,plain,( 20.85/3.47 $sum($sum(1,length2(tree,sF23)),length2(tree,sF22)) = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF24)))) | nil(tree) = sF24 | ~spl29_13), 20.85/3.47 inference(superposition,[],[f3552,f3022])). 20.85/3.47 tff(f3022,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (length2(X1,cons(X1,X2,X0)) = $sum(1,$sum(1,length2(X1,cons_proj_21(X1,X0)))) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f1185,f322])). 20.85/3.47 tff(f3552,plain,( 20.85/3.47 ( ! [X0 : uni] : ($sum($sum(1,length2(tree,sF23)),length2(tree,sF22)) = length2(tree,cons(tree,X0,sF24))) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f3315,f461])). 20.85/3.47 tff(f20940,plain,( 20.85/3.47 spl29_146 | spl29_394 | ~spl29_54 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f20918,f19592,f1192,f20930,f3239])). 20.85/3.47 tff(f20930,definition,( 20.85/3.47 spl29_394 <=> 1 = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF20))))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_394])],[avatar_definition])). 20.85/3.47 tff(f20918,plain,( 20.85/3.47 1 = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF20)))) | nil(tree) = sF20 | (~spl29_54 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20788,f19594])). 20.85/3.47 tff(f20788,plain,( 20.85/3.47 nil(tree) = sF20 | $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF20)))) = length2(tree,sF26) | ~spl29_54), 20.85/3.47 inference(superposition,[],[f3022,f2251])). 20.85/3.47 tff(f20933,plain,( 20.85/3.47 spl29_394 | spl29_146 | ~spl29_54 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f20900,f19592,f1192,f3239,f20930])). 20.85/3.47 tff(f20900,plain,( 20.85/3.47 1 = $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF20)))) | nil(tree) = sF20 | (~spl29_54 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20850,f19594])). 20.85/3.47 tff(f20850,plain,( 20.85/3.47 $sum(1,$sum(1,length2(tree,cons_proj_21(tree,sF20)))) = length2(tree,sF26) | nil(tree) = sF20 | ~spl29_54), 20.85/3.47 inference(superposition,[],[f2251,f3022])). 20.85/3.47 tff(f20765,plain,( 20.85/3.47 spl29_118 | spl29_393 | ~spl29_15 | spl29_150), 20.85/3.47 inference(avatar_split_clause,[],[f20761,f3275,f469,f20763,f2345])). 20.85/3.47 tff(f20763,definition,( 20.85/3.47 spl29_393 <=> ! [X0 : uni] : (sK19(sF23,tree) = X0 | ~mem(tree,X0,sF23))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_393])],[avatar_definition])). 20.85/3.47 tff(f20761,plain,( 20.85/3.47 ( ! [X0 : uni] : (sK19(sF23,tree) = X0 | nil(tree) = sF23 | ~mem(tree,X0,sF23)) ) | (~spl29_15 | spl29_150)), 20.85/3.47 inference(subsumption_resolution,[],[f20759,f663])). 20.85/3.47 tff(f20759,plain,( 20.85/3.47 ( ! [X0 : uni] : (nil(tree) = sF23 | sK19(sF23,tree) = X0 | ~sort1(tree,X0) | ~mem(tree,X0,sF23)) ) | (~spl29_15 | spl29_150)), 20.85/3.47 inference(subsumption_resolution,[],[f20755,f471])). 20.85/3.47 tff(f20755,plain,( 20.85/3.47 ( ! [X0 : uni] : (sK19(sF23,tree) = X0 | ~mem(tree,X0,sF23) | nil(tree) = sF23 | ~sort1(tree,X0) | ~distinct(tree,sF23)) ) | spl29_150), 20.85/3.47 inference(resolution,[],[f3276,f1405])). 20.85/3.47 tff(f3276,plain,( 20.85/3.47 ~distinct(tree,sK17(sF23,tree)) | spl29_150), 20.85/3.47 inference(avatar_component_clause,[],[f3275])). 20.85/3.47 tff(f20760,plain,( 20.85/3.47 spl29_338 | spl29_118 | ~spl29_15 | spl29_150), 20.85/3.47 inference(avatar_split_clause,[],[f20758,f3275,f469,f2345,f16934])). 20.85/3.47 tff(f16934,definition,( 20.85/3.47 spl29_338 <=> 1 = length2(tree,sF23)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_338])],[avatar_definition])). 20.85/3.47 tff(f20758,plain,( 20.85/3.47 nil(tree) = sF23 | 1 = length2(tree,sF23) | (~spl29_15 | spl29_150)), 20.85/3.47 inference(subsumption_resolution,[],[f20756,f471])). 20.85/3.47 tff(f20756,plain,( 20.85/3.47 nil(tree) = sF23 | ~distinct(tree,sF23) | 1 = length2(tree,sF23) | spl29_150), 20.85/3.47 inference(resolution,[],[f3276,f1404])). 20.85/3.47 tff(f20753,plain,( 20.85/3.47 ~spl29_150 | ~spl29_391 | spl29_392 | spl29_389 | spl29_347), 20.85/3.47 inference(avatar_split_clause,[],[f20732,f19565,f20737,f20750,f20746,f3275])). 20.85/3.47 tff(f20746,definition,( 20.85/3.47 spl29_391 <=> empty1 = tb2t2(sK18(sK17(sF23,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_391])],[avatar_definition])). 20.85/3.47 tff(f20750,definition,( 20.85/3.47 spl29_392 <=> 1 = length2(tree,sK17(sF23,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_392])],[avatar_definition])). 20.85/3.47 tff(f20732,plain,( 20.85/3.47 nil(tree) = sK17(sF23,tree) | 1 = length2(tree,sK17(sF23,tree)) | ~distinct(tree,sK17(sF23,tree)) | empty1 != tb2t2(sK18(sK17(sF23,tree),tree)) | spl29_347), 20.85/3.47 inference(superposition,[],[f19567,f4080])). 20.85/3.47 tff(f20744,plain,( 20.85/3.47 spl29_389 | ~spl29_150 | spl29_390 | ~spl29_350 | spl29_347), 20.85/3.47 inference(avatar_split_clause,[],[f20734,f19565,f19580,f20741,f3275,f20737])). 20.85/3.47 tff(f20741,definition,( 20.85/3.47 spl29_390 <=> distinct(tree,sK17(sK17(sF23,tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_390])],[avatar_definition])). 20.85/3.47 tff(f20734,plain,( 20.85/3.47 nil(tree) = sK17(sF23,tree) | distinct(tree,sK17(sK17(sF23,tree),tree)) | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | ~distinct(tree,sK17(sF23,tree)) | spl29_347), 20.85/3.47 inference(superposition,[],[f19567,f1399])). 20.85/3.47 tff(f20559,plain,( 20.85/3.47 ~spl29_388 | spl29_209 | ~spl29_12 | spl29_375), 20.85/3.47 inference(avatar_split_clause,[],[f20539,f19832,f454,f9810,f20556])). 20.85/3.47 tff(f20556,definition,( 20.85/3.47 spl29_388 <=> mem(tree,sK18(sF21,tree),sF21)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_388])],[avatar_definition])). 20.85/3.47 tff(f9810,definition,( 20.85/3.47 spl29_209 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less(0,X0))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_209])],[avatar_definition])). 20.85/3.47 tff(f454,definition,( 20.85/3.47 spl29_12 <=> t2tb1(sK5) = sF21), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_12])],[avatar_definition])). 20.85/3.47 tff(f19832,definition,( 20.85/3.47 spl29_375 <=> $less(0,size1(tb2t2(sK18(sF21,tree))))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_375])],[avatar_definition])). 20.85/3.47 tff(f20539,plain,( 20.85/3.47 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less(0,X0) | ~mem(tree,sK18(sF21,tree),sF21)) ) | (~spl29_12 | spl29_375)), 20.85/3.47 inference(superposition,[],[f19834,f2396])). 20.85/3.47 tff(f2396,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : $int] : (size1(tb2t2(X0)) = X1 | ~all_trees1(X1,sK5) | ~mem(tree,X0,sF21)) ) | ~spl29_12), 20.85/3.47 inference(superposition,[],[f1229,f337])). 20.85/3.47 tff(f1229,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : $int] : (~mem(tree,t2tb2(X0),sF21) | size1(X0) = X1 | ~all_trees1(X1,sK5)) ) | ~spl29_12), 20.85/3.47 inference(superposition,[],[f331,f456])). 20.85/3.47 tff(f456,plain,( 20.85/3.47 t2tb1(sK5) = sF21 | ~spl29_12), 20.85/3.47 inference(avatar_component_clause,[],[f454])). 20.85/3.47 tff(f331,plain,( 20.85/3.47 ( ! [X2 : tree1,X0 : $int,X1 : list_tree] : (~mem(tree,t2tb2(X2),t2tb1(X1)) | ~all_trees1(X0,X1) | size1(X2) = X0) )), 20.85/3.47 inference(cnf_transformation,[],[f230])). 20.85/3.47 tff(f230,plain,( 20.85/3.47 ! [X0 : $int,X1 : list_tree] : (~all_trees1(X0,X1) | (! [X2 : tree1] : ((size1(X2) = X0 | ~mem(tree,t2tb2(X2),t2tb1(X1))) & (mem(tree,t2tb2(X2),t2tb1(X1)) | size1(X2) != X0)) & distinct(tree,t2tb1(X1))))), 20.85/3.47 inference(nnf_transformation,[],[f166])). 20.85/3.47 tff(f166,plain,( 20.85/3.47 ! [X0 : $int,X1 : list_tree] : (~all_trees1(X0,X1) | (! [X2 : tree1] : (size1(X2) = X0 <=> mem(tree,t2tb2(X2),t2tb1(X1))) & distinct(tree,t2tb1(X1))))), 20.85/3.47 inference(ennf_transformation,[],[f151])). 20.85/3.47 tff(f151,plain,( 20.85/3.47 ! [X1 : list_tree,X0 : $int] : (all_trees1(X0,X1) => (! [X2 : tree1] : (size1(X2) = X0 <=> mem(tree,t2tb2(X2),t2tb1(X1))) & distinct(tree,t2tb1(X1))))), 20.85/3.47 inference(unused_predicate_definition_removal,[],[f84])). 20.85/3.47 tff(f84,plain,( 20.85/3.47 ! [X1 : list_tree,X0 : $int] : ((! [X2 : tree1] : (size1(X2) = X0 <=> mem(tree,t2tb2(X2),t2tb1(X1))) & distinct(tree,t2tb1(X1))) <=> all_trees1(X0,X1))), 20.85/3.47 inference(rectify,[],[f2])). 20.85/3.47 tff(f2,axiom,( 20.85/3.47 ! [X1 : $int,X2 : list_tree] : (all_trees1(X1,X2) <=> (distinct(tree,t2tb1(X2)) & ! [X3 : tree1] : (mem(tree,t2tb2(X3),t2tb1(X2)) <=> size1(X3) = X1)))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f19834,plain,( 20.85/3.47 ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | spl29_375), 20.85/3.47 inference(avatar_component_clause,[],[f19832])). 20.85/3.47 tff(f20504,plain,( 20.85/3.47 ~spl29_377 | ~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_340 | ~spl29_378 | spl29_379), 20.85/3.47 inference(avatar_split_clause,[],[f20503,f19854,f19849,f16943,f531,f454,f409,f19844])). 20.85/3.47 tff(f19844,definition,( 20.85/3.47 spl29_377 <=> all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_377])],[avatar_definition])). 20.85/3.47 tff(f409,definition,( 20.85/3.47 spl29_3 <=> t2tb2(sK9) = sF25), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_3])],[avatar_definition])). 20.85/3.47 tff(f531,definition,( 20.85/3.47 spl29_26 <=> mem(tree,sF25,sF20)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_26])],[avatar_definition])). 20.85/3.47 tff(f16943,definition,( 20.85/3.47 spl29_340 <=> empty1 = tb2t2(sK18(sF21,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_340])],[avatar_definition])). 20.85/3.47 tff(f19849,definition,( 20.85/3.47 spl29_378 <=> sK9 = node_proj_11(tb2t2(sK18(sF21,tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_378])],[avatar_definition])). 20.85/3.47 tff(f19854,definition,( 20.85/3.47 spl29_379 <=> mem(tree,sK18(sF21,tree),sF22)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_379])],[avatar_definition])). 20.85/3.47 tff(f20503,plain,( 20.85/3.47 ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | (~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_340 | ~spl29_378 | spl29_379)), 20.85/3.47 inference(subsumption_resolution,[],[f20502,f532])). 20.85/3.47 tff(f532,plain,( 20.85/3.47 mem(tree,sF25,sF20) | ~spl29_26), 20.85/3.47 inference(avatar_component_clause,[],[f531])). 20.85/3.47 tff(f20502,plain,( 20.85/3.47 ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | ~mem(tree,sF25,sF20) | (~spl29_3 | ~spl29_12 | spl29_340 | ~spl29_378 | spl29_379)), 20.85/3.47 inference(forward_demodulation,[],[f20501,f411])). 20.85/3.47 tff(f411,plain,( 20.85/3.47 t2tb2(sK9) = sF25 | ~spl29_3), 20.85/3.47 inference(avatar_component_clause,[],[f409])). 20.85/3.47 tff(f20501,plain,( 20.85/3.47 ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | ~mem(tree,t2tb2(sK9),sF20) | (~spl29_12 | spl29_340 | ~spl29_378 | spl29_379)), 20.85/3.47 inference(subsumption_resolution,[],[f20494,f19856])). 20.85/3.47 tff(f19856,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF22) | spl29_379), 20.85/3.47 inference(avatar_component_clause,[],[f19854])). 20.85/3.47 tff(f20494,plain,( 20.85/3.47 mem(tree,sK18(sF21,tree),sF22) | ~mem(tree,t2tb2(sK9),sF20) | ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | (~spl29_12 | spl29_340 | ~spl29_378)), 20.85/3.47 inference(forward_demodulation,[],[f20476,f337])). 20.85/3.47 tff(f20476,plain,( 20.85/3.47 ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | mem(tree,t2tb2(tb2t2(sK18(sF21,tree))),sF22) | ~mem(tree,t2tb2(sK9),sF20) | (~spl29_12 | spl29_340 | ~spl29_378)), 20.85/3.47 inference(subsumption_resolution,[],[f20451,f16945])). 20.85/3.47 tff(f16945,plain,( 20.85/3.47 empty1 != tb2t2(sK18(sF21,tree)) | spl29_340), 20.85/3.47 inference(avatar_component_clause,[],[f16943])). 20.85/3.47 tff(f20451,plain,( 20.85/3.47 ~mem(tree,t2tb2(sK9),sF20) | empty1 = tb2t2(sK18(sF21,tree)) | mem(tree,t2tb2(tb2t2(sK18(sF21,tree))),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | (~spl29_12 | ~spl29_378)), 20.85/3.47 inference(superposition,[],[f2042,f19851])). 20.85/3.47 tff(f19851,plain,( 20.85/3.47 sK9 = node_proj_11(tb2t2(sK18(sF21,tree))) | ~spl29_378), 20.85/3.47 inference(avatar_component_clause,[],[f19849])). 20.85/3.47 tff(f2042,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_11(X0)),sF20) | empty1 = X0 | ~all_trees1(size1(node_proj_21(X0)),sK5) | mem(tree,t2tb2(X0),sF22)) ) | ~spl29_12), 20.85/3.47 inference(resolution,[],[f976,f847])). 20.85/3.47 tff(f847,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | empty1 = X0 | ~mem(tree,t2tb2(node_proj_11(X0)),sF20) | mem(tree,t2tb2(X0),sF22)) )), 20.85/3.47 inference(superposition,[],[f380,f310])). 20.85/3.47 tff(f310,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node1(node_proj_11(X0),node_proj_21(X0)) = X0 | empty1 = X0) )), 20.85/3.47 inference(cnf_transformation,[],[f99])). 20.85/3.47 tff(f99,plain,( 20.85/3.47 ! [X0 : tree1] : (node1(node_proj_11(X0),node_proj_21(X0)) = X0 | empty1 = X0)), 20.85/3.47 inference(rectify,[],[f57])). 20.85/3.47 tff(f57,axiom,( 20.85/3.47 ! [X4 : tree1] : (node1(node_proj_11(X4),node_proj_21(X4)) = X4 | empty1 = X4)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f380,plain,( 20.85/3.47 ( ! [X10 : tree1,X9 : tree1] : (mem(tree,t2tb2(node1(X10,X9)),sF22) | ~mem(tree,t2tb2(X9),sF21) | ~mem(tree,t2tb2(X10),sF20)) )), 20.85/3.47 inference(definition_folding,[],[f370,f374,f376,f378])). 20.85/3.47 tff(f378,definition,( 20.85/3.47 sF22 = t2tb1(sK10)), 20.85/3.47 introduced(definition,[new_symbols(definition,[sF22])],[function_definition])). 20.85/3.47 tff(f376,definition,( 20.85/3.47 t2tb1(sK5) = sF21), 20.85/3.47 introduced(definition,[new_symbols(definition,[sF21])],[function_definition])). 20.85/3.47 tff(f374,definition,( 20.85/3.47 t2tb1(sK8) = sF20), 20.85/3.47 introduced(definition,[new_symbols(definition,[sF20])],[function_definition])). 20.85/3.47 tff(f370,plain,( 20.85/3.47 ( ! [X10 : tree1,X9 : tree1] : (mem(tree,t2tb2(node1(X10,X9)),t2tb1(sK10)) | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(sK8))) )), 20.85/3.47 inference(equality_resolution,[],[f297])). 20.85/3.47 tff(f297,plain,( 20.85/3.47 ( ! [X10 : tree1,X8 : tree1,X9 : tree1] : (mem(tree,t2tb2(X8),t2tb1(sK10)) | node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(sK8))) )), 20.85/3.47 inference(cnf_transformation,[],[f215])). 20.85/3.47 tff(f215,plain,( 20.85/3.47 ~$less(sK4,0) & all_trees1(sK4,sK3) & all_trees1(sK6,sK5) & ((distinct(tree,t2tb1(sK8)) & (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(sK10)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(sK10)) | ! [X9 : tree1,X10 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(sK8)))) & ((node1(sK12(X8),sK11(X8)) = X8 & mem(tree,t2tb2(sK11(X8)),t2tb1(sK5)) & mem(tree,t2tb2(sK12(X8)),t2tb1(sK8))) | ~mem(tree,t2tb2(X8),t2tb1(sK10)))) & (~distinct(tree,infix_plpl(tree,t2tb1(sK13),t2tb1(sK10))) & distinct(tree,t2tb1(sK13)) & ! [X14 : tree1] : (((node1(sK9,sK14(X14)) = X14 & mem(tree,t2tb2(sK14(X14)),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(sK13))) & (mem(tree,t2tb2(X14),t2tb1(sK13)) | ! [X16 : tree1] : (node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) & tb2t1(cons(tree,t2tb2(sK9),t2tb1(sK8))) = sK7) & distinct(tree,t2tb1(sK7))) & ~$less(sK6,0)), 20.85/3.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f207,f214,f213,f212,f211,f210,f209,f208])). 20.85/3.47 tff(f208,plain,( 20.85/3.47 ? [X0 : list_tree,X1 : $int,X2 : list_tree,X3 : $int] : (~$less(X1,0) & all_trees1(X1,X0) & all_trees1(X3,X2) & ? [X4 : list_tree] : (? [X5 : list_tree,X6 : tree1] : (distinct(tree,t2tb1(X5)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(X2)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X9 : tree1,X10 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(X2)) | ~mem(tree,t2tb2(X10),t2tb1(X5)))) & (? [X11 : tree1,X12 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(X2)) & mem(tree,t2tb2(X12),t2tb1(X5))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(X6,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(X2))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(X6,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(X2))))))) & tb2t1(cons(tree,t2tb2(X6),t2tb1(X5))) = X4) & distinct(tree,t2tb1(X4))) & ~$less(X3,0)) => (~$less(sK4,0) & all_trees1(sK4,sK3) & all_trees1(sK6,sK5) & ? [X4 : list_tree] : (? [X6 : tree1,X5 : list_tree] : (distinct(tree,t2tb1(X5)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(X5)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(X5))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(X6,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(X6,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) & tb2t1(cons(tree,t2tb2(X6),t2tb1(X5))) = X4) & distinct(tree,t2tb1(X4))) & ~$less(sK6,0))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f209,plain,( 20.85/3.47 ? [X4 : list_tree] : (? [X6 : tree1,X5 : list_tree] : (distinct(tree,t2tb1(X5)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(X5)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(X5))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(X6,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(X6,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) & tb2t1(cons(tree,t2tb2(X6),t2tb1(X5))) = X4) & distinct(tree,t2tb1(X4))) => (? [X6 : tree1,X5 : list_tree] : (distinct(tree,t2tb1(X5)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(X5)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(X5))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(X6,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(X6,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) & tb2t1(cons(tree,t2tb2(X6),t2tb1(X5))) = sK7) & distinct(tree,t2tb1(sK7)))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f210,plain,( 20.85/3.47 ? [X6 : tree1,X5 : list_tree] : (distinct(tree,t2tb1(X5)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(X5)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(X5))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(X6,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(X6,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) & tb2t1(cons(tree,t2tb2(X6),t2tb1(X5))) = sK7) => (distinct(tree,t2tb1(sK8)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(sK8)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(sK8))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(sK9,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) & tb2t1(cons(tree,t2tb2(sK9),t2tb1(sK8))) = sK7)), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f211,plain,( 20.85/3.47 ? [X7 : list_tree] : (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(sK8)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(sK8))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(sK9,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))) => (distinct(tree,t2tb1(sK5)) & distinct(tree,t2tb1(sK10)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(sK10)) | ! [X10 : tree1,X9 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(sK5)) | ~mem(tree,t2tb2(X10),t2tb1(sK8)))) & (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(sK8))) | ~mem(tree,t2tb2(X8),t2tb1(sK10)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(sK10))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(sK9,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5)))))))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f212,plain,( 20.85/3.47 ! [X8 : tree1] : (? [X12 : tree1,X11 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(sK5)) & mem(tree,t2tb2(X12),t2tb1(sK8))) => (node1(sK12(X8),sK11(X8)) = X8 & mem(tree,t2tb2(sK11(X8)),t2tb1(sK5)) & mem(tree,t2tb2(sK12(X8)),t2tb1(sK8))))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f213,plain,( 20.85/3.47 ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(sK10))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(sK9,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5)))))) => (~distinct(tree,infix_plpl(tree,t2tb1(sK13),t2tb1(sK10))) & distinct(tree,t2tb1(sK13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(sK9,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) | ~mem(tree,t2tb2(X14),t2tb1(sK13))) & (mem(tree,t2tb2(X14),t2tb1(sK13)) | ! [X16 : tree1] : (node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))))))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f214,plain,( 20.85/3.47 ! [X14 : tree1] : (? [X15 : tree1] : (node1(sK9,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(sK5))) => (node1(sK9,sK14(X14)) = X14 & mem(tree,t2tb2(sK14(X14)),t2tb1(sK5))))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f207,plain,( 20.85/3.47 ? [X0 : list_tree,X1 : $int,X2 : list_tree,X3 : $int] : (~$less(X1,0) & all_trees1(X1,X0) & all_trees1(X3,X2) & ? [X4 : list_tree] : (? [X5 : list_tree,X6 : tree1] : (distinct(tree,t2tb1(X5)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(X2)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X9 : tree1,X10 : tree1] : (node1(X10,X9) != X8 | ~mem(tree,t2tb2(X9),t2tb1(X2)) | ~mem(tree,t2tb2(X10),t2tb1(X5)))) & (? [X11 : tree1,X12 : tree1] : (node1(X12,X11) = X8 & mem(tree,t2tb2(X11),t2tb1(X2)) & mem(tree,t2tb2(X12),t2tb1(X5))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X13 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X13),t2tb1(X7))) & distinct(tree,t2tb1(X13)) & ! [X14 : tree1] : ((? [X15 : tree1] : (node1(X6,X15) = X14 & mem(tree,t2tb2(X15),t2tb1(X2))) | ~mem(tree,t2tb2(X14),t2tb1(X13))) & (mem(tree,t2tb2(X14),t2tb1(X13)) | ! [X16 : tree1] : (node1(X6,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(X2))))))) & tb2t1(cons(tree,t2tb2(X6),t2tb1(X5))) = X4) & distinct(tree,t2tb1(X4))) & ~$less(X3,0))), 20.85/3.47 inference(rectify,[],[f206])). 20.85/3.47 tff(f206,plain,( 20.85/3.47 ? [X2 : list_tree,X1 : $int,X0 : list_tree,X3 : $int] : (~$less(X1,0) & all_trees1(X1,X2) & all_trees1(X3,X0) & ? [X4 : list_tree] : (? [X6 : list_tree,X5 : tree1] : (distinct(tree,t2tb1(X6)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(X0)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : ((mem(tree,t2tb2(X8),t2tb1(X7)) | ! [X10 : tree1,X9 : tree1] : (node1(X9,X10) != X8 | ~mem(tree,t2tb2(X10),t2tb1(X0)) | ~mem(tree,t2tb2(X9),t2tb1(X6)))) & (? [X10 : tree1,X9 : tree1] : (node1(X9,X10) = X8 & mem(tree,t2tb2(X10),t2tb1(X0)) & mem(tree,t2tb2(X9),t2tb1(X6))) | ~mem(tree,t2tb2(X8),t2tb1(X7)))) & ? [X11 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X11),t2tb1(X7))) & distinct(tree,t2tb1(X11)) & ! [X12 : tree1] : ((? [X13 : tree1] : (node1(X5,X13) = X12 & mem(tree,t2tb2(X13),t2tb1(X0))) | ~mem(tree,t2tb2(X12),t2tb1(X11))) & (mem(tree,t2tb2(X12),t2tb1(X11)) | ! [X13 : tree1] : (node1(X5,X13) != X12 | ~mem(tree,t2tb2(X13),t2tb1(X0))))))) & tb2t1(cons(tree,t2tb2(X5),t2tb1(X6))) = X4) & distinct(tree,t2tb1(X4))) & ~$less(X3,0))), 20.85/3.47 inference(nnf_transformation,[],[f156])). 20.85/3.47 tff(f156,plain,( 20.85/3.47 ? [X2 : list_tree,X1 : $int,X0 : list_tree,X3 : $int] : (~$less(X1,0) & all_trees1(X1,X2) & all_trees1(X3,X0) & ? [X4 : list_tree] : (? [X6 : list_tree,X5 : tree1] : (distinct(tree,t2tb1(X6)) & ? [X7 : list_tree] : (distinct(tree,t2tb1(X0)) & distinct(tree,t2tb1(X7)) & ! [X8 : tree1] : (mem(tree,t2tb2(X8),t2tb1(X7)) <=> ? [X10 : tree1,X9 : tree1] : (node1(X9,X10) = X8 & mem(tree,t2tb2(X10),t2tb1(X0)) & mem(tree,t2tb2(X9),t2tb1(X6)))) & ? [X11 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X11),t2tb1(X7))) & distinct(tree,t2tb1(X11)) & ! [X12 : tree1] : (? [X13 : tree1] : (node1(X5,X13) = X12 & mem(tree,t2tb2(X13),t2tb1(X0))) <=> mem(tree,t2tb2(X12),t2tb1(X11))))) & tb2t1(cons(tree,t2tb2(X5),t2tb1(X6))) = X4) & distinct(tree,t2tb1(X4))) & ~$less(X3,0))), 20.85/3.47 inference(flattening,[],[f155])). 20.85/3.47 tff(f155,plain,( 20.85/3.47 ? [X1 : $int,X0 : list_tree,X2 : list_tree,X3 : $int] : (? [X4 : list_tree] : (? [X6 : list_tree,X5 : tree1] : ((? [X7 : list_tree] : ((? [X11 : list_tree] : (~distinct(tree,infix_plpl(tree,t2tb1(X11),t2tb1(X7))) & (distinct(tree,t2tb1(X11)) & ! [X12 : tree1] : (? [X13 : tree1] : (node1(X5,X13) = X12 & mem(tree,t2tb2(X13),t2tb1(X0))) <=> mem(tree,t2tb2(X12),t2tb1(X11))))) & distinct(tree,t2tb1(X0))) & (! [X8 : tree1] : (mem(tree,t2tb2(X8),t2tb1(X7)) <=> ? [X10 : tree1,X9 : tree1] : (node1(X9,X10) = X8 & mem(tree,t2tb2(X10),t2tb1(X0)) & mem(tree,t2tb2(X9),t2tb1(X6)))) & distinct(tree,t2tb1(X7)))) & distinct(tree,t2tb1(X6))) & tb2t1(cons(tree,t2tb2(X5),t2tb1(X6))) = X4) & distinct(tree,t2tb1(X4))) & (all_trees1(X1,X2) & all_trees1(X3,X0) & ~$less(X1,0) & ~$less(X3,0)))), 20.85/3.47 inference(ennf_transformation,[],[f108])). 20.85/3.47 tff(f108,plain,( 20.85/3.47 ~! [X1 : $int,X0 : list_tree,X2 : list_tree,X3 : $int] : ((all_trees1(X1,X2) & all_trees1(X3,X0) & ~$less(X1,0) & ~$less(X3,0)) => ! [X4 : list_tree] : (distinct(tree,t2tb1(X4)) => ! [X6 : list_tree,X5 : tree1] : (tb2t1(cons(tree,t2tb2(X5),t2tb1(X6))) = X4 => (distinct(tree,t2tb1(X6)) => ! [X7 : list_tree] : ((! [X8 : tree1] : (mem(tree,t2tb2(X8),t2tb1(X7)) <=> ? [X10 : tree1,X9 : tree1] : (node1(X9,X10) = X8 & mem(tree,t2tb2(X10),t2tb1(X0)) & mem(tree,t2tb2(X9),t2tb1(X6)))) & distinct(tree,t2tb1(X7))) => (distinct(tree,t2tb1(X0)) => ! [X11 : list_tree] : ((distinct(tree,t2tb1(X11)) & ! [X12 : tree1] : (? [X13 : tree1] : (node1(X5,X13) = X12 & mem(tree,t2tb2(X13),t2tb1(X0))) <=> mem(tree,t2tb2(X12),t2tb1(X11)))) => distinct(tree,infix_plpl(tree,t2tb1(X11),t2tb1(X7))))))))))), 20.85/3.47 inference(rectify,[],[f77])). 20.85/3.47 tff(f77,plain,( 20.85/3.47 ~! [X7 : list_tree,X25 : $int,X15 : list_tree,X26 : $int] : ((all_trees1(X25,X15) & all_trees1(X26,X7) & ~$less(X25,0) & ~$less(X26,0)) => ! [X27 : list_tree] : (distinct(tree,t2tb1(X27)) => ! [X6 : tree1,X8 : list_tree] : (tb2t1(cons(tree,t2tb2(X6),t2tb1(X8))) = X27 => (distinct(tree,t2tb1(X8)) => ! [X28 : list_tree] : ((distinct(tree,t2tb1(X28)) & ! [X3 : tree1] : (? [X2 : tree1,X24 : tree1] : (mem(tree,t2tb2(X24),t2tb1(X7)) & node1(X2,X24) = X3 & mem(tree,t2tb2(X2),t2tb1(X8))) <=> mem(tree,t2tb2(X3),t2tb1(X28)))) => (distinct(tree,t2tb1(X7)) => ! [X29 : list_tree] : ((! [X3 : tree1] : (mem(tree,t2tb2(X3),t2tb1(X29)) <=> ? [X24 : tree1] : (mem(tree,t2tb2(X24),t2tb1(X7)) & node1(X6,X24) = X3)) & distinct(tree,t2tb1(X29))) => distinct(tree,infix_plpl(tree,t2tb1(X29),t2tb1(X28))))))))))), 20.85/3.47 inference(theory_normalization,[],[f65])). 20.85/3.47 tff(f65,negated_conjecture,( 20.85/3.47 ~! [X7 : list_tree,X25 : $int,X15 : list_tree,X26 : $int] : ((all_trees1(X25,X15) & all_trees1(X26,X7) & $lesseq(0,X25) & $lesseq(0,X26)) => ! [X27 : list_tree] : (distinct(tree,t2tb1(X27)) => ! [X6 : tree1,X8 : list_tree] : (tb2t1(cons(tree,t2tb2(X6),t2tb1(X8))) = X27 => (distinct(tree,t2tb1(X8)) => ! [X28 : list_tree] : ((distinct(tree,t2tb1(X28)) & ! [X3 : tree1] : (? [X2 : tree1,X24 : tree1] : (mem(tree,t2tb2(X24),t2tb1(X7)) & node1(X2,X24) = X3 & mem(tree,t2tb2(X2),t2tb1(X8))) <=> mem(tree,t2tb2(X3),t2tb1(X28)))) => (distinct(tree,t2tb1(X7)) => ! [X29 : list_tree] : ((! [X3 : tree1] : (mem(tree,t2tb2(X3),t2tb1(X29)) <=> ? [X24 : tree1] : (mem(tree,t2tb2(X24),t2tb1(X7)) & node1(X6,X24) = X3)) & distinct(tree,t2tb1(X29))) => distinct(tree,infix_plpl(tree,t2tb1(X29),t2tb1(X28))))))))))), 20.85/3.47 inference(negated_conjecture,[status(cth)],[f64])). 20.85/3.47 tff(f64,conjecture,( 20.85/3.47 ! [X7 : list_tree,X25 : $int,X15 : list_tree,X26 : $int] : ((all_trees1(X25,X15) & all_trees1(X26,X7) & $lesseq(0,X25) & $lesseq(0,X26)) => ! [X27 : list_tree] : (distinct(tree,t2tb1(X27)) => ! [X6 : tree1,X8 : list_tree] : (tb2t1(cons(tree,t2tb2(X6),t2tb1(X8))) = X27 => (distinct(tree,t2tb1(X8)) => ! [X28 : list_tree] : ((distinct(tree,t2tb1(X28)) & ! [X3 : tree1] : (? [X2 : tree1,X24 : tree1] : (mem(tree,t2tb2(X24),t2tb1(X7)) & node1(X2,X24) = X3 & mem(tree,t2tb2(X2),t2tb1(X8))) <=> mem(tree,t2tb2(X3),t2tb1(X28)))) => (distinct(tree,t2tb1(X7)) => ! [X29 : list_tree] : ((! [X3 : tree1] : (mem(tree,t2tb2(X3),t2tb1(X29)) <=> ? [X24 : tree1] : (mem(tree,t2tb2(X24),t2tb1(X7)) & node1(X6,X24) = X3)) & distinct(tree,t2tb1(X29))) => distinct(tree,infix_plpl(tree,t2tb1(X29),t2tb1(X28))))))))))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f976,plain,( 20.85/3.47 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF21) | ~all_trees1(size1(X0),sK5)) ) | ~spl29_12), 20.85/3.47 inference(superposition,[],[f372,f456])). 20.85/3.47 tff(f372,plain,( 20.85/3.47 ( ! [X2 : tree1,X1 : list_tree] : (mem(tree,t2tb2(X2),t2tb1(X1)) | ~all_trees1(size1(X2),X1)) )), 20.85/3.47 inference(equality_resolution,[],[f330])). 20.85/3.47 tff(f330,plain,( 20.85/3.47 ( ! [X2 : tree1,X0 : $int,X1 : list_tree] : (~all_trees1(X0,X1) | mem(tree,t2tb2(X2),t2tb1(X1)) | size1(X2) != X0) )), 20.85/3.47 inference(cnf_transformation,[],[f230])). 20.85/3.47 tff(f20499,plain,( 20.85/3.47 spl29_387 | spl29_340 | ~spl29_378), 20.85/3.47 inference(avatar_split_clause,[],[f20481,f19849,f16943,f20496])). 20.85/3.47 tff(f20496,definition,( 20.85/3.47 spl29_387 <=> tb2t2(sK18(sF21,tree)) = node1(sK9,node_proj_21(tb2t2(sK18(sF21,tree))))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_387])],[avatar_definition])). 20.85/3.47 tff(f20481,plain,( 20.85/3.47 tb2t2(sK18(sF21,tree)) = node1(sK9,node_proj_21(tb2t2(sK18(sF21,tree)))) | (spl29_340 | ~spl29_378)), 20.85/3.47 inference(subsumption_resolution,[],[f20444,f16945])). 20.85/3.47 tff(f20444,plain,( 20.85/3.47 tb2t2(sK18(sF21,tree)) = node1(sK9,node_proj_21(tb2t2(sK18(sF21,tree)))) | empty1 = tb2t2(sK18(sF21,tree)) | ~spl29_378), 20.85/3.47 inference(superposition,[],[f310,f19851])). 20.85/3.47 tff(f20489,plain,( 20.85/3.47 spl29_386 | ~spl29_375 | ~spl29_378), 20.85/3.47 inference(avatar_split_clause,[],[f20453,f19849,f19832,f20486])). 20.85/3.47 tff(f20486,definition,( 20.85/3.47 spl29_386 <=> tb2t2(sK18(sF21,tree)) = node1(sK9,sK1(tb2t2(sK18(sF21,tree))))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_386])],[avatar_definition])). 20.85/3.47 tff(f20453,plain,( 20.85/3.47 tb2t2(sK18(sF21,tree)) = node1(sK9,sK1(tb2t2(sK18(sF21,tree)))) | ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | ~spl29_378), 20.85/3.47 inference(superposition,[],[f2095,f19851])). 20.85/3.47 tff(f2095,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node1(node_proj_11(X0),sK1(X0)) = X0 | ~$less(0,size1(X0))) )), 20.85/3.47 inference(subsumption_resolution,[],[f2093,f997])). 20.85/3.47 tff(f997,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~$less(0,size1(X0)) | empty1 != X0) )), 20.85/3.47 inference(superposition,[],[f263,f249])). 20.85/3.47 tff(f249,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node1(sK0(X0),sK1(X0)) = X0 | ~$less(0,size1(X0))) )), 20.85/3.47 inference(cnf_transformation,[],[f181])). 20.85/3.47 tff(f181,plain,( 20.85/3.47 ! [X0 : tree1] : (~$less(0,size1(X0)) | (node1(sK0(X0),sK1(X0)) = X0 & $less(size1(sK0(X0)),size1(X0))))), 20.85/3.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f171,f180])). 20.85/3.47 tff(f180,plain,( 20.85/3.47 ! [X0 : tree1] : (? [X1 : tree1,X2 : tree1] : (node1(X1,X2) = X0 & $less(size1(X1),size1(X0))) => (node1(sK0(X0),sK1(X0)) = X0 & $less(size1(sK0(X0)),size1(X0))))), 20.85/3.47 introduced(definition,[],[choice_axiom])). 20.85/3.47 tff(f171,plain,( 20.85/3.47 ! [X0 : tree1] : (~$less(0,size1(X0)) | ? [X1 : tree1,X2 : tree1] : (node1(X1,X2) = X0 & $less(size1(X1),size1(X0))))), 20.85/3.47 inference(ennf_transformation,[],[f127])). 20.85/3.47 tff(f127,plain,( 20.85/3.47 ! [X0 : tree1] : ($less(0,size1(X0)) => ? [X1 : tree1,X2 : tree1] : (node1(X1,X2) = X0 & $less(size1(X1),size1(X0))))), 20.85/3.47 inference(rectify,[],[f36])). 20.85/3.47 tff(f36,axiom,( 20.85/3.47 ! [X3 : tree1] : ($less(0,size1(X3)) => ? [X2 : tree1,X24 : tree1] : (node1(X2,X24) = X3 & $less(size1(X2),size1(X3))))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f263,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (empty1 != node1(X0,X1)) )), 20.85/3.47 inference(cnf_transformation,[],[f192])). 20.85/3.47 tff(f192,plain,( 20.85/3.47 ! [X0 : tree1,X1 : tree1] : empty1 != node1(X0,X1)), 20.85/3.47 inference(rectify,[],[f116])). 20.85/3.47 tff(f116,plain,( 20.85/3.47 ! [X1 : tree1,X0 : tree1] : empty1 != node1(X1,X0)), 20.85/3.47 inference(rectify,[],[f71])). 20.85/3.47 tff(f71,axiom,( 20.85/3.47 ! [X23 : tree1,X22 : tree1] : empty1 != node1(X22,X23)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f2093,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node1(node_proj_11(X0),sK1(X0)) = X0 | ~$less(0,size1(X0)) | empty1 = X0) )), 20.85/3.47 inference(superposition,[],[f310,f998])). 20.85/3.47 tff(f998,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node_proj_21(X0) = sK1(X0) | ~$less(0,size1(X0))) )), 20.85/3.47 inference(superposition,[],[f266,f249])). 20.85/3.47 tff(f266,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (node_proj_21(node1(X0,X1)) = X1) )), 20.85/3.47 inference(cnf_transformation,[],[f194])). 20.85/3.47 tff(f194,plain,( 20.85/3.47 ! [X0 : tree1,X1 : tree1] : node_proj_21(node1(X0,X1)) = X1), 20.85/3.47 inference(rectify,[],[f130])). 20.85/3.47 tff(f130,plain,( 20.85/3.47 ! [X1 : tree1,X0 : tree1] : node_proj_21(node1(X1,X0)) = X0), 20.85/3.47 inference(rectify,[],[f58])). 20.85/3.47 tff(f58,axiom,( 20.85/3.47 ! [X5 : tree1,X4 : tree1] : node_proj_21(node1(X4,X5)) = X5), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f20475,plain,( 20.85/3.47 ~spl29_375 | spl29_385 | ~spl29_378), 20.85/3.47 inference(avatar_split_clause,[],[f20438,f19849,f20469,f19832])). 20.85/3.47 tff(f20469,definition,( 20.85/3.47 spl29_385 <=> sK0(tb2t2(sK18(sF21,tree))) = sK9), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_385])],[avatar_definition])). 20.85/3.47 tff(f20438,plain,( 20.85/3.47 sK0(tb2t2(sK18(sF21,tree))) = sK9 | ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | ~spl29_378), 20.85/3.47 inference(superposition,[],[f19851,f999])). 20.85/3.47 tff(f999,plain,( 20.85/3.47 ( ! [X0 : tree1] : (sK0(X0) = node_proj_11(X0) | ~$less(0,size1(X0))) )), 20.85/3.47 inference(superposition,[],[f275,f249])). 20.85/3.47 tff(f275,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (node_proj_11(node1(X0,X1)) = X0) )), 20.85/3.47 inference(cnf_transformation,[],[f145])). 20.85/3.47 tff(f145,plain,( 20.85/3.47 ! [X0 : tree1,X1 : tree1] : node_proj_11(node1(X0,X1)) = X0), 20.85/3.47 inference(rectify,[],[f43])). 20.85/3.47 tff(f43,axiom,( 20.85/3.47 ! [X4 : tree1,X5 : tree1] : node_proj_11(node1(X4,X5)) = X4), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f20472,plain,( 20.85/3.47 ~spl29_375 | spl29_385 | ~spl29_378), 20.85/3.47 inference(avatar_split_clause,[],[f20446,f19849,f20469,f19832])). 20.85/3.47 tff(f20446,plain,( 20.85/3.47 ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | sK0(tb2t2(sK18(sF21,tree))) = sK9 | ~spl29_378), 20.85/3.47 inference(superposition,[],[f999,f19851])). 20.85/3.47 tff(f20324,plain,( 20.85/3.47 ~spl29_384 | ~spl29_13 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f20319,f19592,f459,f20321])). 20.85/3.47 tff(f20321,definition,( 20.85/3.47 spl29_384 <=> $less($sum($sum(1,length2(tree,sF24)),2),0)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_384])],[avatar_definition])). 20.85/3.47 tff(f20319,plain,( 20.85/3.47 ~$less($sum($sum(1,length2(tree,sF24)),2),0) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20317,f461])). 20.85/3.47 tff(f20317,plain,( 20.85/3.47 ~$less($sum($sum(1,length2(tree,infix_plpl(tree,sF23,sF22))),2),0) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20297,f3563])). 20.85/3.47 tff(f20297,plain,( 20.85/3.47 ~$less($sum($sum($sum(1,length2(tree,sF23)),length2(tree,sF22)),2),0) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(superposition,[],[f19918,f3552])). 20.85/3.47 tff(f19918,plain,( 20.85/3.47 ( ! [X0 : uni] : (~$less($sum(length2(tree,X0),2),0)) ) | ~spl29_352), 20.85/3.47 inference(evaluation,[],[f19889])). 20.85/3.47 tff(f19889,plain,( 20.85/3.47 ( ! [X0 : uni] : (~$less($sum(length2(tree,X0),$sum(1,1)),0)) ) | ~spl29_352), 20.85/3.47 inference(superposition,[],[f3362,f19594])). 20.85/3.47 tff(f3362,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~$less($sum(length2(X0,X1),$sum(1,length2(X0,X2))),0)) )), 20.85/3.47 inference(superposition,[],[f256,f1263])). 20.85/3.47 tff(f1263,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : ($sum(length2(X0,X2),$sum(1,length2(X0,X1))) = length2(X0,infix_plpl(X0,X2,cons(X0,X3,X1)))) )), 20.85/3.47 inference(superposition,[],[f360,f351])). 20.85/3.47 tff(f256,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~$less(length2(X1,X0),0)) )), 20.85/3.47 inference(cnf_transformation,[],[f186])). 20.85/3.47 tff(f186,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : ~$less(length2(X1,X0),0)), 20.85/3.47 inference(rectify,[],[f136])). 20.85/3.47 tff(f136,plain,( 20.85/3.47 ! [X1 : uni,X0 : ty] : ~$less(length2(X0,X1),0)), 20.85/3.47 inference(rectify,[],[f80])). 20.85/3.47 tff(f80,plain,( 20.85/3.47 ! [X0 : ty,X2 : uni] : ~$less(length2(X0,X2),0)), 20.85/3.47 inference(theory_normalization,[],[f49])). 20.85/3.47 tff(f49,axiom,( 20.85/3.47 ! [X0 : ty,X2 : uni] : $lesseq(0,length2(X0,X2))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f20207,plain,( 20.85/3.47 ~spl29_383 | ~spl29_13 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f20202,f19592,f459,f20204])). 20.85/3.47 tff(f20204,definition,( 20.85/3.47 spl29_383 <=> $less($sum(2,$sum(1,length2(tree,sF24))),0)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_383])],[avatar_definition])). 20.85/3.47 tff(f20202,plain,( 20.85/3.47 ~$less($sum(2,$sum(1,length2(tree,sF24))),0) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20200,f461])). 20.85/3.47 tff(f20200,plain,( 20.85/3.47 ~$less($sum(2,$sum(1,length2(tree,infix_plpl(tree,sF23,sF22)))),0) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20180,f3563])). 20.85/3.47 tff(f20180,plain,( 20.85/3.47 ~$less($sum(2,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))),0) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(superposition,[],[f19914,f3552])). 20.85/3.47 tff(f19914,plain,( 20.85/3.47 ( ! [X0 : uni] : (~$less($sum(2,length2(tree,X0)),0)) ) | ~spl29_352), 20.85/3.47 inference(evaluation,[],[f19898])). 20.85/3.47 tff(f19898,plain,( 20.85/3.47 ( ! [X0 : uni] : (~$less($sum($sum(1,1),length2(tree,X0)),0)) ) | ~spl29_352), 20.85/3.47 inference(superposition,[],[f3567,f19594])). 20.85/3.47 tff(f3567,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~$less($sum($sum(1,length2(X0,X1)),length2(X0,X2)),0)) )), 20.85/3.47 inference(superposition,[],[f256,f3315])). 20.85/3.47 tff(f20065,plain,( 20.85/3.47 ~spl29_382 | ~spl29_13 | ~spl29_352), 20.85/3.47 inference(avatar_split_clause,[],[f20060,f19592,f459,f20062])). 20.85/3.47 tff(f20062,definition,( 20.85/3.47 spl29_382 <=> 0 = $sum(2,$sum(1,length2(tree,sF24)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_382])],[avatar_definition])). 20.85/3.47 tff(f20060,plain,( 20.85/3.47 0 != $sum(2,$sum(1,length2(tree,sF24))) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20057,f461])). 20.85/3.47 tff(f20057,plain,( 20.85/3.47 0 != $sum(2,$sum(1,length2(tree,infix_plpl(tree,sF23,sF22)))) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(forward_demodulation,[],[f20038,f3563])). 20.85/3.47 tff(f20038,plain,( 20.85/3.47 0 != $sum(2,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))) | (~spl29_13 | ~spl29_352)), 20.85/3.47 inference(superposition,[],[f19907,f3552])). 20.85/3.47 tff(f19907,plain,( 20.85/3.47 ( ! [X0 : uni] : (0 != $sum(2,length2(tree,X0))) ) | ~spl29_352), 20.85/3.47 inference(evaluation,[],[f19904])). 20.85/3.47 tff(f19904,plain,( 20.85/3.47 ( ! [X0 : uni] : (0 != $sum($sum(1,1),length2(tree,X0))) ) | ~spl29_352), 20.85/3.47 inference(superposition,[],[f3584,f19594])). 20.85/3.47 tff(f3584,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : (0 != $sum($sum(1,length2(X0,X1)),length2(X0,X2))) )), 20.85/3.47 inference(subsumption_resolution,[],[f3568,f338])). 20.85/3.47 tff(f3568,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (nil(X0) = cons(X0,X3,infix_plpl(X0,X1,X2)) | 0 != $sum($sum(1,length2(X0,X1)),length2(X0,X2))) )), 20.85/3.47 inference(superposition,[],[f262,f3315])). 20.85/3.47 tff(f262,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (0 != length2(X0,X1) | nil(X0) = X1) )), 20.85/3.47 inference(cnf_transformation,[],[f191])). 20.85/3.47 tff(f191,plain,( 20.85/3.47 ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | 0 != length2(X0,X1)) & (0 = length2(X0,X1) | nil(X0) != X1))), 20.85/3.47 inference(rectify,[],[f190])). 20.85/3.47 tff(f190,plain,( 20.85/3.47 ! [X1 : ty,X0 : uni] : ((nil(X1) = X0 | 0 != length2(X1,X0)) & (0 = length2(X1,X0) | nil(X1) != X0))), 20.85/3.47 inference(nnf_transformation,[],[f100])). 20.85/3.47 tff(f100,plain,( 20.85/3.47 ! [X1 : ty,X0 : uni] : (nil(X1) = X0 <=> 0 = length2(X1,X0))), 20.85/3.47 inference(rectify,[],[f52])). 20.85/3.47 tff(f52,axiom,( 20.85/3.47 ! [X2 : uni,X0 : ty] : (0 = length2(X0,X2) <=> nil(X0) = X2)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f19965,plain,( 20.85/3.47 ~spl29_376 | ~spl29_13 | spl29_381), 20.85/3.47 inference(avatar_split_clause,[],[f19964,f19864,f459,f19837])). 20.85/3.47 tff(f19837,definition,( 20.85/3.47 spl29_376 <=> mem(tree,sK18(sF21,tree),sF23)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_376])],[avatar_definition])). 20.85/3.47 tff(f19864,definition,( 20.85/3.47 spl29_381 <=> mem(tree,sK18(sF21,tree),sF24)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_381])],[avatar_definition])). 20.85/3.47 tff(f19964,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF23) | (~spl29_13 | spl29_381)), 20.85/3.47 inference(resolution,[],[f19866,f1008])). 20.85/3.47 tff(f1008,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,X0,sF24) | ~mem(tree,X0,sF23)) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f282,f461])). 20.85/3.47 tff(f282,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (mem(X1,X0,infix_plpl(X1,X2,X3)) | ~mem(X1,X0,X2)) )), 20.85/3.47 inference(cnf_transformation,[],[f204])). 20.85/3.47 tff(f204,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty,X2 : uni,X3 : uni] : ((mem(X1,X0,infix_plpl(X1,X2,X3)) | (~mem(X1,X0,X3) & ~mem(X1,X0,X2))) & (mem(X1,X0,X3) | mem(X1,X0,X2) | ~mem(X1,X0,infix_plpl(X1,X2,X3))))), 20.85/3.47 inference(rectify,[],[f203])). 20.85/3.47 tff(f203,plain,( 20.85/3.47 ! [X3 : uni,X1 : ty,X2 : uni,X0 : uni] : ((mem(X1,X3,infix_plpl(X1,X2,X0)) | (~mem(X1,X3,X0) & ~mem(X1,X3,X2))) & (mem(X1,X3,X0) | mem(X1,X3,X2) | ~mem(X1,X3,infix_plpl(X1,X2,X0))))), 20.85/3.47 inference(flattening,[],[f202])). 20.85/3.47 tff(f202,plain,( 20.85/3.47 ! [X3 : uni,X1 : ty,X2 : uni,X0 : uni] : ((mem(X1,X3,infix_plpl(X1,X2,X0)) | (~mem(X1,X3,X0) & ~mem(X1,X3,X2))) & ((mem(X1,X3,X0) | mem(X1,X3,X2)) | ~mem(X1,X3,infix_plpl(X1,X2,X0))))), 20.85/3.47 inference(nnf_transformation,[],[f83])). 20.85/3.47 tff(f83,plain,( 20.85/3.47 ! [X3 : uni,X1 : ty,X2 : uni,X0 : uni] : (mem(X1,X3,infix_plpl(X1,X2,X0)) <=> (mem(X1,X3,X0) | mem(X1,X3,X2)))), 20.85/3.47 inference(rectify,[],[f48])). 20.85/3.47 tff(f48,axiom,( 20.85/3.47 ! [X7 : uni,X0 : ty,X15 : uni,X6 : uni] : (mem(X0,X6,infix_plpl(X0,X15,X7)) <=> (mem(X0,X6,X7) | mem(X0,X6,X15)))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f19866,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF24) | spl29_381), 20.85/3.47 inference(avatar_component_clause,[],[f19864])). 20.85/3.47 tff(f19962,plain,( 20.85/3.47 ~spl29_381 | ~spl29_13 | ~spl29_25 | spl29_379), 20.85/3.47 inference(avatar_split_clause,[],[f19959,f19854,f522,f459,f19864])). 20.85/3.47 tff(f522,definition,( 20.85/3.47 spl29_25 <=> ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(X0),sF23))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_25])],[avatar_definition])). 20.85/3.47 tff(f19959,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF24) | (~spl29_13 | ~spl29_25 | spl29_379)), 20.85/3.47 inference(resolution,[],[f19856,f2571])). 20.85/3.47 tff(f2571,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,X0,sF22) | ~mem(tree,X0,sF24)) ) | (~spl29_13 | ~spl29_25)), 20.85/3.47 inference(subsumption_resolution,[],[f1275,f1870])). 20.85/3.47 tff(f1870,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,X0,sF22) | ~mem(tree,X0,sF23)) ) | ~spl29_25), 20.85/3.47 inference(superposition,[],[f523,f337])). 20.85/3.47 tff(f523,plain,( 20.85/3.47 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_25), 20.85/3.47 inference(avatar_component_clause,[],[f522])). 20.85/3.47 tff(f1275,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,X0,sF23) | ~mem(tree,X0,sF24) | mem(tree,X0,sF22)) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f281,f461])). 20.85/3.47 tff(f281,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (~mem(X1,X0,infix_plpl(X1,X2,X3)) | mem(X1,X0,X2) | mem(X1,X0,X3)) )), 20.85/3.47 inference(cnf_transformation,[],[f204])). 20.85/3.47 tff(f19961,plain,( 20.85/3.47 ~spl29_376 | ~spl29_25 | spl29_379), 20.85/3.47 inference(avatar_split_clause,[],[f19960,f19854,f522,f19837])). 20.85/3.47 tff(f19960,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF23) | (~spl29_25 | spl29_379)), 20.85/3.47 inference(resolution,[],[f19856,f1870])). 20.85/3.47 tff(f19933,plain,( 20.85/3.47 spl29_115 | spl29_149 | ~spl29_21 | spl29_321), 20.85/3.47 inference(avatar_split_clause,[],[f19931,f16561,f499,f3270,f2332])). 20.85/3.47 tff(f16561,definition,( 20.85/3.47 spl29_321 <=> distinct(tree,cons_proj_21(tree,sF22))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_321])],[avatar_definition])). 20.85/3.47 tff(f19931,plain,( 20.85/3.47 distinct(tree,sK17(sF22,tree)) | nil(tree) = sF22 | (~spl29_21 | spl29_321)), 20.85/3.47 inference(subsumption_resolution,[],[f19929,f501])). 20.85/3.47 tff(f19929,plain,( 20.85/3.47 nil(tree) = sF22 | distinct(tree,sK17(sF22,tree)) | ~distinct(tree,sF22) | spl29_321), 20.85/3.47 inference(subsumption_resolution,[],[f19925,f325])). 20.85/3.47 tff(f325,plain,( 20.85/3.47 ( ! [X0 : ty] : (distinct(X0,nil(X0))) )), 20.85/3.47 inference(cnf_transformation,[],[f72])). 20.85/3.47 tff(f72,axiom,( 20.85/3.47 ! [X0 : ty] : distinct(X0,nil(X0))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f19925,plain,( 20.85/3.47 distinct(tree,sK17(sF22,tree)) | ~distinct(tree,nil(tree)) | nil(tree) = sF22 | ~distinct(tree,sF22) | spl29_321), 20.85/3.47 inference(superposition,[],[f16563,f1392])). 20.85/3.47 tff(f1392,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons_proj_21(X1,X0) = nil(X1) | distinct(X1,sK17(X0,X1)) | ~distinct(X1,X0) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f328,f347])). 20.85/3.47 tff(f16563,plain,( 20.85/3.47 ~distinct(tree,cons_proj_21(tree,sF22)) | spl29_321), 20.85/3.47 inference(avatar_component_clause,[],[f16561])). 20.85/3.47 tff(f19932,plain,( 20.85/3.47 spl29_337 | spl29_115 | ~spl29_21 | spl29_321), 20.85/3.47 inference(avatar_split_clause,[],[f19930,f16561,f499,f2332,f16928])). 20.85/3.47 tff(f19930,plain,( 20.85/3.47 1 = length2(tree,sF22) | nil(tree) = sF22 | (~spl29_21 | spl29_321)), 20.85/3.47 inference(subsumption_resolution,[],[f19927,f501])). 20.85/3.47 tff(f19927,plain,( 20.85/3.47 1 = length2(tree,sF22) | ~distinct(tree,sF22) | nil(tree) = sF22 | spl29_321), 20.85/3.47 inference(subsumption_resolution,[],[f19923,f1404])). 20.85/3.47 tff(f19923,plain,( 20.85/3.47 1 = length2(tree,sF22) | nil(tree) = sF22 | ~distinct(tree,sK17(sF22,tree)) | ~distinct(tree,sF22) | spl29_321), 20.85/3.47 inference(superposition,[],[f16563,f4017])). 20.85/3.47 tff(f4017,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons_proj_21(X1,X0) = sK17(X0,X1) | 1 = length2(X1,X0) | ~distinct(X1,X0) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f1190,f1466])). 20.85/3.47 tff(f19867,plain,( 20.85/3.47 ~spl29_381 | spl29_341 | ~spl29_18 | spl29_163 | spl29_273), 20.85/3.47 inference(avatar_split_clause,[],[f19821,f13392,f5304,f484,f16947,f19864])). 20.85/3.47 tff(f16947,definition,( 20.85/3.47 spl29_341 <=> 1 = length2(tree,sF21)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_341])],[avatar_definition])). 20.85/3.47 tff(f13392,definition,( 20.85/3.47 spl29_273 <=> mem(tree,cons_proj_11(tree,sF21),sF24)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_273])],[avatar_definition])). 20.85/3.47 tff(f19821,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF24) | 1 = length2(tree,sF21) | (~spl29_18 | spl29_163 | spl29_273)), 20.85/3.47 inference(subsumption_resolution,[],[f19791,f5305])). 20.85/3.47 tff(f19791,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF24) | nil(tree) = sF21 | 1 = length2(tree,sF21) | (~spl29_18 | spl29_273)), 20.85/3.47 inference(subsumption_resolution,[],[f19733,f486])). 20.85/3.47 tff(f19733,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF24) | ~distinct(tree,sF21) | nil(tree) = sF21 | 1 = length2(tree,sF21) | spl29_273), 20.85/3.47 inference(superposition,[],[f13394,f4080])). 20.85/3.47 tff(f13394,plain,( 20.85/3.47 ~mem(tree,cons_proj_11(tree,sF21),sF24) | spl29_273), 20.85/3.47 inference(avatar_component_clause,[],[f13392])). 20.85/3.47 tff(f19862,plain,( 20.85/3.47 spl29_341 | ~spl29_380 | ~spl29_18 | spl29_163 | spl29_271), 20.85/3.47 inference(avatar_split_clause,[],[f19820,f13327,f5304,f484,f19859,f16947])). 20.85/3.47 tff(f19859,definition,( 20.85/3.47 spl29_380 <=> empty1 = sK11(tb2t2(sK18(sF21,tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_380])],[avatar_definition])). 20.85/3.47 tff(f13327,definition,( 20.85/3.47 spl29_271 <=> empty1 = sK11(tb2t2(cons_proj_11(tree,sF21)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_271])],[avatar_definition])). 20.85/3.47 tff(f19820,plain,( 20.85/3.47 1 = length2(tree,sF21) | empty1 != sK11(tb2t2(sK18(sF21,tree))) | (~spl29_18 | spl29_163 | spl29_271)), 20.85/3.47 inference(subsumption_resolution,[],[f19790,f5305])). 20.85/3.47 tff(f19790,plain,( 20.85/3.47 empty1 != sK11(tb2t2(sK18(sF21,tree))) | nil(tree) = sF21 | 1 = length2(tree,sF21) | (~spl29_18 | spl29_271)), 20.85/3.47 inference(subsumption_resolution,[],[f19732,f486])). 20.85/3.47 tff(f19732,plain,( 20.85/3.47 1 = length2(tree,sF21) | empty1 != sK11(tb2t2(sK18(sF21,tree))) | ~distinct(tree,sF21) | nil(tree) = sF21 | spl29_271), 20.85/3.47 inference(superposition,[],[f13329,f4080])). 20.85/3.47 tff(f13329,plain,( 20.85/3.47 empty1 != sK11(tb2t2(cons_proj_11(tree,sF21))) | spl29_271), 20.85/3.47 inference(avatar_component_clause,[],[f13327])). 20.85/3.47 tff(f19857,plain,( 20.85/3.47 ~spl29_379 | spl29_341 | ~spl29_18 | spl29_163 | spl29_274), 20.85/3.47 inference(avatar_split_clause,[],[f19819,f13400,f5304,f484,f16947,f19854])). 20.85/3.47 tff(f13400,definition,( 20.85/3.47 spl29_274 <=> mem(tree,cons_proj_11(tree,sF21),sF22)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_274])],[avatar_definition])). 20.85/3.47 tff(f19819,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF22) | 1 = length2(tree,sF21) | (~spl29_18 | spl29_163 | spl29_274)), 20.85/3.47 inference(subsumption_resolution,[],[f19789,f486])). 20.85/3.47 tff(f19789,plain,( 20.85/3.47 ~distinct(tree,sF21) | 1 = length2(tree,sF21) | ~mem(tree,sK18(sF21,tree),sF22) | (spl29_163 | spl29_274)), 20.85/3.47 inference(subsumption_resolution,[],[f19734,f5305])). 20.85/3.47 tff(f19734,plain,( 20.85/3.47 nil(tree) = sF21 | ~distinct(tree,sF21) | 1 = length2(tree,sF21) | ~mem(tree,sK18(sF21,tree),sF22) | spl29_274), 20.85/3.47 inference(superposition,[],[f13402,f4080])). 20.85/3.47 tff(f13402,plain,( 20.85/3.47 ~mem(tree,cons_proj_11(tree,sF21),sF22) | spl29_274), 20.85/3.47 inference(avatar_component_clause,[],[f13400])). 20.85/3.47 tff(f19852,plain,( 20.85/3.47 spl29_341 | spl29_378 | ~spl29_18 | spl29_163 | ~spl29_267), 20.85/3.47 inference(avatar_split_clause,[],[f19809,f13304,f5304,f484,f19849,f16947])). 20.85/3.47 tff(f13304,definition,( 20.85/3.47 spl29_267 <=> sK9 = node_proj_11(tb2t2(cons_proj_11(tree,sF21)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_267])],[avatar_definition])). 20.85/3.47 tff(f19809,plain,( 20.85/3.47 sK9 = node_proj_11(tb2t2(sK18(sF21,tree))) | 1 = length2(tree,sF21) | (~spl29_18 | spl29_163 | ~spl29_267)), 20.85/3.47 inference(subsumption_resolution,[],[f19786,f486])). 20.85/3.47 tff(f19786,plain,( 20.85/3.47 sK9 = node_proj_11(tb2t2(sK18(sF21,tree))) | ~distinct(tree,sF21) | 1 = length2(tree,sF21) | (spl29_163 | ~spl29_267)), 20.85/3.47 inference(subsumption_resolution,[],[f19729,f5305])). 20.85/3.47 tff(f19729,plain,( 20.85/3.47 nil(tree) = sF21 | 1 = length2(tree,sF21) | sK9 = node_proj_11(tb2t2(sK18(sF21,tree))) | ~distinct(tree,sF21) | ~spl29_267), 20.85/3.47 inference(superposition,[],[f13306,f4080])). 20.85/3.47 tff(f13306,plain,( 20.85/3.47 sK9 = node_proj_11(tb2t2(cons_proj_11(tree,sF21))) | ~spl29_267), 20.85/3.47 inference(avatar_component_clause,[],[f13304])). 20.85/3.47 tff(f19847,plain,( 20.85/3.47 spl29_341 | ~spl29_377 | ~spl29_18 | spl29_163 | spl29_282), 20.85/3.47 inference(avatar_split_clause,[],[f19808,f13450,f5304,f484,f19844,f16947])). 20.85/3.47 tff(f13450,definition,( 20.85/3.47 spl29_282 <=> all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_282])],[avatar_definition])). 20.85/3.47 tff(f19808,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | (~spl29_18 | spl29_163 | spl29_282)), 20.85/3.47 inference(subsumption_resolution,[],[f19783,f5305])). 20.85/3.47 tff(f19783,plain,( 20.85/3.47 1 = length2(tree,sF21) | nil(tree) = sF21 | ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | (~spl29_18 | spl29_282)), 20.85/3.47 inference(subsumption_resolution,[],[f19736,f486])). 20.85/3.47 tff(f19736,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~distinct(tree,sF21) | nil(tree) = sF21 | ~all_trees1(size1(node_proj_21(tb2t2(sK18(sF21,tree)))),sK5) | spl29_282), 20.85/3.47 inference(superposition,[],[f13452,f4080])). 20.85/3.47 tff(f13452,plain,( 20.85/3.47 ~all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5) | spl29_282), 20.85/3.47 inference(avatar_component_clause,[],[f13450])). 20.85/3.47 tff(f19842,plain,( 20.85/3.47 spl29_352 | spl29_363 | ~spl29_46 | spl29_48 | ~spl29_53), 20.85/3.47 inference(avatar_split_clause,[],[f19807,f1019,f726,f657,f19682,f19592])). 20.85/3.47 tff(f19807,plain,( 20.85/3.47 1 = length2(tree,sF26) | sK18(sF26,tree) = sF25 | (~spl29_46 | spl29_48 | ~spl29_53)), 20.85/3.47 inference(subsumption_resolution,[],[f19780,f728])). 20.85/3.47 tff(f19780,plain,( 20.85/3.47 sK18(sF26,tree) = sF25 | nil(tree) = sF26 | 1 = length2(tree,sF26) | (~spl29_46 | ~spl29_53)), 20.85/3.47 inference(subsumption_resolution,[],[f19704,f659])). 20.85/3.47 tff(f19704,plain,( 20.85/3.47 sK18(sF26,tree) = sF25 | ~distinct(tree,sF26) | 1 = length2(tree,sF26) | nil(tree) = sF26 | ~spl29_53), 20.85/3.47 inference(superposition,[],[f4080,f1021])). 20.85/3.47 tff(f19841,plain,( 20.85/3.47 spl29_352 | spl29_363 | ~spl29_46 | spl29_48 | ~spl29_53), 20.85/3.47 inference(avatar_split_clause,[],[f19797,f1019,f726,f657,f19682,f19592])). 20.85/3.47 tff(f19797,plain,( 20.85/3.47 sK18(sF26,tree) = sF25 | 1 = length2(tree,sF26) | (~spl29_46 | spl29_48 | ~spl29_53)), 20.85/3.47 inference(subsumption_resolution,[],[f19777,f659])). 20.85/3.47 tff(f19777,plain,( 20.85/3.47 ~distinct(tree,sF26) | sK18(sF26,tree) = sF25 | 1 = length2(tree,sF26) | (spl29_48 | ~spl29_53)), 20.85/3.47 inference(subsumption_resolution,[],[f19741,f728])). 20.85/3.47 tff(f19741,plain,( 20.85/3.47 sK18(sF26,tree) = sF25 | nil(tree) = sF26 | ~distinct(tree,sF26) | 1 = length2(tree,sF26) | ~spl29_53), 20.85/3.47 inference(superposition,[],[f1021,f4080])). 20.85/3.47 tff(f19840,plain,( 20.85/3.47 spl29_341 | ~spl29_376 | ~spl29_18 | spl29_163 | spl29_283), 20.85/3.47 inference(avatar_split_clause,[],[f19796,f13497,f5304,f484,f19837,f16947])). 20.85/3.47 tff(f13497,definition,( 20.85/3.47 spl29_283 <=> mem(tree,cons_proj_11(tree,sF21),sF23)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_283])],[avatar_definition])). 20.85/3.47 tff(f19796,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~mem(tree,sK18(sF21,tree),sF23) | (~spl29_18 | spl29_163 | spl29_283)), 20.85/3.47 inference(subsumption_resolution,[],[f19776,f5305])). 20.85/3.47 tff(f19776,plain,( 20.85/3.47 nil(tree) = sF21 | ~mem(tree,sK18(sF21,tree),sF23) | 1 = length2(tree,sF21) | (~spl29_18 | spl29_283)), 20.85/3.47 inference(subsumption_resolution,[],[f19737,f486])). 20.85/3.47 tff(f19737,plain,( 20.85/3.47 ~mem(tree,sK18(sF21,tree),sF23) | ~distinct(tree,sF21) | nil(tree) = sF21 | 1 = length2(tree,sF21) | spl29_283), 20.85/3.47 inference(superposition,[],[f13499,f4080])). 20.85/3.47 tff(f13499,plain,( 20.85/3.47 ~mem(tree,cons_proj_11(tree,sF21),sF23) | spl29_283), 20.85/3.47 inference(avatar_component_clause,[],[f13497])). 20.85/3.47 tff(f19835,plain,( 20.85/3.47 ~spl29_375 | spl29_341 | ~spl29_18 | spl29_163 | spl29_275), 20.85/3.47 inference(avatar_split_clause,[],[f19795,f13405,f5304,f484,f16947,f19832])). 20.85/3.47 tff(f13405,definition,( 20.85/3.47 spl29_275 <=> $less(0,size1(tb2t2(cons_proj_11(tree,sF21))))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_275])],[avatar_definition])). 20.85/3.47 tff(f19795,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | (~spl29_18 | spl29_163 | spl29_275)), 20.85/3.47 inference(subsumption_resolution,[],[f19774,f486])). 20.85/3.47 tff(f19774,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~distinct(tree,sF21) | ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | (spl29_163 | spl29_275)), 20.85/3.47 inference(subsumption_resolution,[],[f19735,f5305])). 20.85/3.47 tff(f19735,plain,( 20.85/3.47 ~$less(0,size1(tb2t2(sK18(sF21,tree)))) | nil(tree) = sF21 | 1 = length2(tree,sF21) | ~distinct(tree,sF21) | spl29_275), 20.85/3.47 inference(superposition,[],[f13407,f4080])). 20.85/3.47 tff(f13407,plain,( 20.85/3.47 ~$less(0,size1(tb2t2(cons_proj_11(tree,sF21)))) | spl29_275), 20.85/3.47 inference(avatar_component_clause,[],[f13405])). 20.85/3.47 tff(f19830,plain,( 20.85/3.47 spl29_341 | spl29_374 | ~spl29_12 | ~spl29_18 | spl29_163), 20.85/3.47 inference(avatar_split_clause,[],[f19794,f5304,f484,f454,f19828,f16947])). 20.85/3.47 tff(f19828,definition,( 20.85/3.47 spl29_374 <=> ! [X0 : $int] : (size1(tb2t2(sK18(sF21,tree))) = X0 | ~all_trees1(X0,sK5))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_374])],[avatar_definition])). 20.85/3.47 tff(f19794,plain,( 20.85/3.47 ( ! [X0 : $int] : (size1(tb2t2(sK18(sF21,tree))) = X0 | ~all_trees1(X0,sK5) | 1 = length2(tree,sF21)) ) | (~spl29_12 | ~spl29_18 | spl29_163)), 20.85/3.47 inference(subsumption_resolution,[],[f19764,f486])). 20.85/3.47 tff(f19764,plain,( 20.85/3.47 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | size1(tb2t2(sK18(sF21,tree))) = X0 | ~distinct(tree,sF21) | 1 = length2(tree,sF21)) ) | (~spl29_12 | spl29_163)), 20.85/3.47 inference(subsumption_resolution,[],[f19728,f5305])). 20.85/3.47 tff(f19728,plain,( 20.85/3.47 ( ! [X0 : $int] : (nil(tree) = sF21 | 1 = length2(tree,sF21) | ~all_trees1(X0,sK5) | size1(tb2t2(sK18(sF21,tree))) = X0 | ~distinct(tree,sF21)) ) | (~spl29_12 | spl29_163)), 20.85/3.47 inference(superposition,[],[f13215,f4080])). 20.85/3.47 tff(f13215,plain,( 20.85/3.47 ( ! [X0 : $int] : (size1(tb2t2(cons_proj_11(tree,sF21))) = X0 | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163)), 20.85/3.47 inference(subsumption_resolution,[],[f13128,f5305])). 20.85/3.47 tff(f13128,plain,( 20.85/3.47 ( ! [X0 : $int] : (nil(tree) = sF21 | ~all_trees1(X0,sK5) | size1(tb2t2(cons_proj_11(tree,sF21))) = X0) ) | ~spl29_12), 20.85/3.47 inference(superposition,[],[f2694,f456])). 20.85/3.47 tff(f2694,plain,( 20.85/3.47 ( ! [X0 : list_tree,X1 : $int] : (size1(tb2t2(cons_proj_11(tree,t2tb1(X0)))) = X1 | ~all_trees1(X1,X0) | nil(tree) = t2tb1(X0)) )), 20.85/3.47 inference(resolution,[],[f1227,f1252])). 20.85/3.47 tff(f1252,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (mem(X1,cons_proj_11(X1,X0),X0) | nil(X1) = X0) )), 20.85/3.47 inference(subsumption_resolution,[],[f1249,f279])). 20.85/3.47 tff(f279,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (sort1(X1,cons_proj_11(X1,X0))) )), 20.85/3.47 inference(cnf_transformation,[],[f201])). 20.85/3.47 tff(f201,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty] : sort1(X1,cons_proj_11(X1,X0))), 20.85/3.47 inference(rectify,[],[f89])). 20.85/3.47 tff(f89,plain,( 20.85/3.47 ! [X1 : uni,X0 : ty] : sort1(X0,cons_proj_11(X0,X1))), 20.85/3.47 inference(rectify,[],[f40])). 20.85/3.47 tff(f40,axiom,( 20.85/3.47 ! [X0 : ty,X6 : uni] : sort1(X0,cons_proj_11(X0,X6))), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f1249,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (mem(X1,cons_proj_11(X1,X0),X0) | ~sort1(X1,cons_proj_11(X1,X0)) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f397,f322])). 20.85/3.47 tff(f1227,plain,( 20.85/3.47 ( ! [X2 : $int,X0 : uni,X1 : list_tree] : (~mem(tree,X0,t2tb1(X1)) | size1(tb2t2(X0)) = X2 | ~all_trees1(X2,X1)) )), 20.85/3.47 inference(superposition,[],[f331,f337])). 20.85/3.47 tff(f19826,plain,( 20.85/3.47 spl29_341 | spl29_373 | ~spl29_18 | spl29_163 | ~spl29_269), 20.85/3.47 inference(avatar_split_clause,[],[f19793,f13314,f5304,f484,f19823,f16947])). 20.85/3.47 tff(f19823,definition,( 20.85/3.47 spl29_373 <=> sK9 = sK12(tb2t2(sK18(sF21,tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_373])],[avatar_definition])). 20.85/3.47 tff(f13314,definition,( 20.85/3.47 spl29_269 <=> sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_269])],[avatar_definition])). 20.85/3.47 tff(f19793,plain,( 20.85/3.47 sK9 = sK12(tb2t2(sK18(sF21,tree))) | 1 = length2(tree,sF21) | (~spl29_18 | spl29_163 | ~spl29_269)), 20.85/3.47 inference(subsumption_resolution,[],[f19753,f5305])). 20.85/3.47 tff(f19753,plain,( 20.85/3.47 1 = length2(tree,sF21) | sK9 = sK12(tb2t2(sK18(sF21,tree))) | nil(tree) = sF21 | (~spl29_18 | ~spl29_269)), 20.85/3.47 inference(subsumption_resolution,[],[f19730,f486])). 20.85/3.47 tff(f19730,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~distinct(tree,sF21) | nil(tree) = sF21 | sK9 = sK12(tb2t2(sK18(sF21,tree))) | ~spl29_269), 20.85/3.47 inference(superposition,[],[f13316,f4080])). 20.85/3.47 tff(f13316,plain,( 20.85/3.47 sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | ~spl29_269), 20.85/3.47 inference(avatar_component_clause,[],[f13314])). 20.85/3.47 tff(f19818,plain,( 20.85/3.47 spl29_313 | ~spl29_371 | spl29_372 | spl29_314 | ~spl29_325), 20.85/3.47 inference(avatar_split_clause,[],[f19787,f16600,f16506,f19815,f19811,f16502])). 20.85/3.47 tff(f19811,definition,( 20.85/3.47 spl29_371 <=> empty1 = tb2t2(sK18(cons_proj_21(tree,sF23),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_371])],[avatar_definition])). 20.85/3.47 tff(f19815,definition,( 20.85/3.47 spl29_372 <=> 1 = length2(tree,cons_proj_21(tree,sF23))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_372])],[avatar_definition])). 20.85/3.47 tff(f16506,definition,( 20.85/3.47 spl29_314 <=> empty1 = tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF23)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_314])],[avatar_definition])). 20.85/3.47 tff(f16600,definition,( 20.85/3.47 spl29_325 <=> distinct(tree,cons_proj_21(tree,sF23))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_325])],[avatar_definition])). 20.85/3.47 tff(f19787,plain,( 20.85/3.47 empty1 != tb2t2(sK18(cons_proj_21(tree,sF23),tree)) | nil(tree) = cons_proj_21(tree,sF23) | 1 = length2(tree,cons_proj_21(tree,sF23)) | (spl29_314 | ~spl29_325)), 20.85/3.47 inference(subsumption_resolution,[],[f19723,f16601])). 20.85/3.47 tff(f16601,plain,( 20.85/3.47 distinct(tree,cons_proj_21(tree,sF23)) | ~spl29_325), 20.85/3.47 inference(avatar_component_clause,[],[f16600])). 20.85/3.47 tff(f19723,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF23) | 1 = length2(tree,cons_proj_21(tree,sF23)) | ~distinct(tree,cons_proj_21(tree,sF23)) | empty1 != tb2t2(sK18(cons_proj_21(tree,sF23),tree)) | spl29_314), 20.85/3.47 inference(superposition,[],[f16508,f4080])). 20.85/3.47 tff(f16508,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF23))) | spl29_314), 20.85/3.47 inference(avatar_component_clause,[],[f16506])). 20.85/3.47 tff(f19806,plain,( 20.85/3.47 spl29_369 | ~spl29_370 | spl29_319 | spl29_318 | ~spl29_331), 20.85/3.47 inference(avatar_split_clause,[],[f19779,f16804,f16534,f16538,f19803,f19799])). 20.85/3.47 tff(f19799,definition,( 20.85/3.47 spl29_369 <=> 1 = length2(tree,cons_proj_21(tree,sF21))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_369])],[avatar_definition])). 20.85/3.47 tff(f19803,definition,( 20.85/3.47 spl29_370 <=> empty1 = tb2t2(sK18(cons_proj_21(tree,sF21),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_370])],[avatar_definition])). 20.85/3.47 tff(f16804,definition,( 20.85/3.47 spl29_331 <=> distinct(tree,cons_proj_21(tree,sF21))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_331])],[avatar_definition])). 20.85/3.47 tff(f19779,plain,( 20.85/3.47 1 = length2(tree,cons_proj_21(tree,sF21)) | empty1 != tb2t2(sK18(cons_proj_21(tree,sF21),tree)) | nil(tree) = cons_proj_21(tree,sF21) | (spl29_318 | ~spl29_331)), 20.85/3.47 inference(subsumption_resolution,[],[f19721,f16805])). 20.85/3.47 tff(f16805,plain,( 20.85/3.47 distinct(tree,cons_proj_21(tree,sF21)) | ~spl29_331), 20.85/3.47 inference(avatar_component_clause,[],[f16804])). 20.85/3.47 tff(f19721,plain,( 20.85/3.47 ~distinct(tree,cons_proj_21(tree,sF21)) | empty1 != tb2t2(sK18(cons_proj_21(tree,sF21),tree)) | nil(tree) = cons_proj_21(tree,sF21) | 1 = length2(tree,cons_proj_21(tree,sF21)) | spl29_318), 20.85/3.47 inference(superposition,[],[f16536,f4080])). 20.85/3.47 tff(f19773,plain,( 20.85/3.47 spl29_367 | spl29_311 | ~spl29_368 | ~spl29_321 | spl29_312), 20.85/3.47 inference(avatar_split_clause,[],[f19722,f16494,f16561,f19770,f16490,f19766])). 20.85/3.47 tff(f19766,definition,( 20.85/3.47 spl29_367 <=> 1 = length2(tree,cons_proj_21(tree,sF22))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_367])],[avatar_definition])). 20.85/3.47 tff(f19770,definition,( 20.85/3.47 spl29_368 <=> empty1 = tb2t2(sK18(cons_proj_21(tree,sF22),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_368])],[avatar_definition])). 20.85/3.47 tff(f16494,definition,( 20.85/3.47 spl29_312 <=> empty1 = tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF22)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_312])],[avatar_definition])). 20.85/3.47 tff(f19722,plain,( 20.85/3.47 empty1 != tb2t2(sK18(cons_proj_21(tree,sF22),tree)) | nil(tree) = cons_proj_21(tree,sF22) | ~distinct(tree,cons_proj_21(tree,sF22)) | 1 = length2(tree,cons_proj_21(tree,sF22)) | spl29_312), 20.85/3.47 inference(superposition,[],[f16496,f4080])). 20.85/3.47 tff(f16496,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF22))) | spl29_312), 20.85/3.47 inference(avatar_component_clause,[],[f16494])). 20.85/3.47 tff(f19762,plain,( 20.85/3.47 ~spl29_328 | ~spl29_365 | spl29_315 | spl29_366 | spl29_316), 20.85/3.47 inference(avatar_split_clause,[],[f19724,f16524,f19759,f16520,f19755,f16785])). 20.85/3.47 tff(f16785,definition,( 20.85/3.47 spl29_328 <=> distinct(tree,cons_proj_21(tree,sF24))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_328])],[avatar_definition])). 20.85/3.47 tff(f19755,definition,( 20.85/3.47 spl29_365 <=> empty1 = tb2t2(sK18(cons_proj_21(tree,sF24),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_365])],[avatar_definition])). 20.85/3.47 tff(f16520,definition,( 20.85/3.47 spl29_315 <=> nil(tree) = cons_proj_21(tree,sF24)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_315])],[avatar_definition])). 20.85/3.47 tff(f19759,definition,( 20.85/3.47 spl29_366 <=> 1 = length2(tree,cons_proj_21(tree,sF24))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_366])],[avatar_definition])). 20.85/3.47 tff(f16524,definition,( 20.85/3.47 spl29_316 <=> empty1 = tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF24)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_316])],[avatar_definition])). 20.85/3.47 tff(f19724,plain,( 20.85/3.47 ~distinct(tree,cons_proj_21(tree,sF24)) | nil(tree) = cons_proj_21(tree,sF24) | 1 = length2(tree,cons_proj_21(tree,sF24)) | empty1 != tb2t2(sK18(cons_proj_21(tree,sF24),tree)) | spl29_316), 20.85/3.47 inference(superposition,[],[f16526,f4080])). 20.85/3.47 tff(f16526,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF24))) | spl29_316), 20.85/3.47 inference(avatar_component_clause,[],[f16524])). 20.85/3.47 tff(f19699,plain,( 20.85/3.47 spl29_352 | ~spl29_46 | spl29_48 | spl29_362), 20.85/3.47 inference(avatar_split_clause,[],[f19693,f19678,f726,f657,f19592])). 20.85/3.47 tff(f19678,definition,( 20.85/3.47 spl29_362 <=> mem(tree,sK18(sF26,tree),sF26)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_362])],[avatar_definition])). 20.85/3.47 tff(f19693,plain,( 20.85/3.47 1 = length2(tree,sF26) | (~spl29_46 | spl29_48 | spl29_362)), 20.85/3.47 inference(subsumption_resolution,[],[f19691,f659])). 20.85/3.47 tff(f19691,plain,( 20.85/3.47 ~distinct(tree,sF26) | 1 = length2(tree,sF26) | (spl29_48 | spl29_362)), 20.85/3.47 inference(subsumption_resolution,[],[f19687,f728])). 20.85/3.47 tff(f19687,plain,( 20.85/3.47 nil(tree) = sF26 | 1 = length2(tree,sF26) | ~distinct(tree,sF26) | spl29_362), 20.85/3.47 inference(resolution,[],[f19680,f3779])). 20.85/3.47 tff(f3779,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (mem(X1,sK18(X0,X1),X0) | nil(X1) = X0 | ~distinct(X1,X0) | 1 = length2(X1,X0)) )), 20.85/3.47 inference(superposition,[],[f1190,f1474])). 20.85/3.47 tff(f19680,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF26) | spl29_362), 20.85/3.47 inference(avatar_component_clause,[],[f19678])). 20.85/3.47 tff(f19698,plain,( 20.85/3.47 spl29_364 | ~spl29_46 | spl29_48 | spl29_362), 20.85/3.47 inference(avatar_split_clause,[],[f19692,f19678,f726,f657,f19695])). 20.85/3.47 tff(f19692,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF26) | (~spl29_46 | spl29_48 | spl29_362)), 20.85/3.47 inference(subsumption_resolution,[],[f19690,f659])). 20.85/3.47 tff(f19690,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF26) | ~distinct(tree,sF26) | (spl29_48 | spl29_362)), 20.85/3.47 inference(subsumption_resolution,[],[f19686,f728])). 20.85/3.47 tff(f19686,plain,( 20.85/3.47 nil(tree) = sF26 | ~distinct(tree,sF26) | nil(tree) = cons_proj_21(tree,sF26) | spl29_362), 20.85/3.47 inference(resolution,[],[f19680,f3786])). 20.85/3.47 tff(f3786,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (mem(X1,sK18(X0,X1),X0) | ~distinct(X1,X0) | cons_proj_21(X1,X0) = nil(X1) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f328,f1474])). 20.85/3.47 tff(f19685,plain,( 20.85/3.47 ~spl29_362 | spl29_363 | ~spl29_20 | ~spl29_27 | spl29_355), 20.85/3.47 inference(avatar_split_clause,[],[f19676,f19642,f536,f494,f19682,f19678])). 20.85/3.47 tff(f536,definition,( 20.85/3.47 spl29_27 <=> sort1(tree,sF25)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_27])],[avatar_definition])). 20.85/3.47 tff(f19642,definition,( 20.85/3.47 spl29_355 <=> mem(tree,sK18(sF26,tree),sF20)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_355])],[avatar_definition])). 20.85/3.47 tff(f19676,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF26) | sK18(sF26,tree) = sF25 | (~spl29_20 | ~spl29_27 | spl29_355)), 20.85/3.47 inference(resolution,[],[f19644,f1366])). 20.85/3.47 tff(f1366,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,X0,sF20) | ~mem(tree,X0,sF26) | sF25 = X0) ) | (~spl29_20 | ~spl29_27)), 20.85/3.47 inference(subsumption_resolution,[],[f1364,f663])). 20.85/3.47 tff(f1364,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,X0,sF20) | sF25 = X0 | ~mem(tree,X0,sF26) | ~sort1(tree,X0)) ) | (~spl29_20 | ~spl29_27)), 20.85/3.47 inference(subsumption_resolution,[],[f1357,f538])). 20.85/3.47 tff(f538,plain,( 20.85/3.47 sort1(tree,sF25) | ~spl29_27), 20.85/3.47 inference(avatar_component_clause,[],[f536])). 20.85/3.47 tff(f1357,plain,( 20.85/3.47 ( ! [X0 : uni] : (~sort1(tree,X0) | ~mem(tree,X0,sF26) | sF25 = X0 | mem(tree,X0,sF20) | ~sort1(tree,sF25)) ) | ~spl29_20), 20.85/3.47 inference(superposition,[],[f357,f496])). 20.85/3.47 tff(f19644,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF20) | spl29_355), 20.85/3.47 inference(avatar_component_clause,[],[f19642])). 20.85/3.47 tff(f19675,plain,( 20.85/3.47 ~spl29_355 | spl29_361 | ~spl29_46 | spl29_48 | ~spl29_53 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19665,f19588,f1019,f726,f657,f19672,f19642])). 20.85/3.47 tff(f19672,definition,( 20.85/3.47 spl29_361 <=> sK19(sF26,tree) = sF25), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_361])],[avatar_definition])). 20.85/3.47 tff(f19665,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF20) | sK19(sF26,tree) = sF25 | (~spl29_46 | spl29_48 | ~spl29_53 | ~spl29_351)), 20.85/3.47 inference(forward_demodulation,[],[f19639,f1021])). 20.85/3.47 tff(f19639,plain,( 20.85/3.47 sK19(sF26,tree) = cons_proj_11(tree,sF26) | ~mem(tree,sK18(sF26,tree),sF20) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19632,f659])). 20.85/3.47 tff(f19632,plain,( 20.85/3.47 sK19(sF26,tree) = cons_proj_11(tree,sF26) | ~mem(tree,sK18(sF26,tree),sF20) | ~distinct(tree,sF26) | (spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19620,f728])). 20.85/3.47 tff(f19620,plain,( 20.85/3.47 nil(tree) = sF26 | sK19(sF26,tree) = cons_proj_11(tree,sF26) | ~distinct(tree,sF26) | ~mem(tree,sK18(sF26,tree),sF20) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f1454,f19590])). 20.85/3.47 tff(f19590,plain,( 20.85/3.47 sK17(sF26,tree) = sF20 | ~spl29_351), 20.85/3.47 inference(avatar_component_clause,[],[f19588])). 20.85/3.47 tff(f1454,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | nil(X1) = X0 | cons_proj_11(X1,X0) = sK19(X0,X1) | ~distinct(X1,X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1446,f342])). 20.85/3.47 tff(f342,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | ~distinct(X1,X0) | nil(X1) = X0 | sort1(X1,sK19(X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f1446,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons_proj_11(X1,X0) = sK19(X0,X1) | nil(X1) = X0 | ~sort1(X1,sK19(X0,X1)) | ~mem(X1,sK18(X0,X1),sK17(X0,X1)) | ~distinct(X1,X0)) )), 20.85/3.47 inference(superposition,[],[f308,f343])). 20.85/3.47 tff(f343,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (cons(X1,sK19(X0,X1),nil(X1)) = X0 | nil(X1) = X0 | ~distinct(X1,X0) | ~mem(X1,sK18(X0,X1),sK17(X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f236])). 20.85/3.47 tff(f19670,plain,( 20.85/3.47 ~spl29_355 | spl29_360 | ~spl29_46 | spl29_48 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19651,f19588,f726,f657,f19668,f19642])). 20.85/3.47 tff(f19668,definition,( 20.85/3.47 spl29_360 <=> ! [X0 : uni] : (~mem(tree,X0,sF26) | sK19(sF26,tree) = X0)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_360])],[avatar_definition])). 20.85/3.47 tff(f19651,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,sK18(sF26,tree),sF20) | ~mem(tree,X0,sF26) | sK19(sF26,tree) = X0) ) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19636,f663])). 20.85/3.47 tff(f19636,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,X0,sF26) | sK19(sF26,tree) = X0 | ~mem(tree,sK18(sF26,tree),sF20) | ~sort1(tree,X0)) ) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19629,f659])). 20.85/3.47 tff(f19629,plain,( 20.85/3.47 ( ! [X0 : uni] : (~sort1(tree,X0) | sK19(sF26,tree) = X0 | ~distinct(tree,sF26) | ~mem(tree,sK18(sF26,tree),sF20) | ~mem(tree,X0,sF26)) ) | (spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19623,f728])). 20.85/3.47 tff(f19623,plain,( 20.85/3.47 ( ! [X0 : uni] : (sK19(sF26,tree) = X0 | ~sort1(tree,X0) | ~mem(tree,X0,sF26) | nil(tree) = sF26 | ~distinct(tree,sF26) | ~mem(tree,sK18(sF26,tree),sF20)) ) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f1459,f19590])). 20.85/3.47 tff(f1459,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | ~mem(X1,X2,X0) | sK19(X0,X1) = X2 | nil(X1) = X0 | ~sort1(X1,X2) | ~distinct(X1,X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1453,f358])). 20.85/3.47 tff(f1453,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X2) | nil(X1) = X0 | ~mem(X1,X2,X0) | mem(X1,X2,nil(X1)) | ~distinct(X1,X0) | ~mem(X1,sK18(X0,X1),sK17(X0,X1)) | sK19(X0,X1) = X2) )), 20.85/3.47 inference(subsumption_resolution,[],[f1451,f342])). 20.85/3.47 tff(f1451,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,sK19(X0,X1)) | sK19(X0,X1) = X2 | ~distinct(X1,X0) | ~mem(X1,X2,X0) | mem(X1,X2,nil(X1)) | ~sort1(X1,X2) | nil(X1) = X0 | ~mem(X1,sK18(X0,X1),sK17(X0,X1))) )), 20.85/3.47 inference(superposition,[],[f357,f343])). 20.85/3.47 tff(f19666,plain,( 20.85/3.47 spl29_146 | ~spl29_355 | ~spl29_46 | spl29_48 | ~spl29_50 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19640,f19588,f749,f726,f657,f19642,f3239])). 20.85/3.47 tff(f19640,plain,( 20.85/3.47 nil(tree) = sF20 | ~mem(tree,sK18(sF26,tree),sF20) | (~spl29_46 | spl29_48 | ~spl29_50 | ~spl29_351)), 20.85/3.47 inference(forward_demodulation,[],[f19633,f751])). 20.85/3.47 tff(f19633,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF26) | ~mem(tree,sK18(sF26,tree),sF20) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19626,f728])). 20.85/3.47 tff(f19626,plain,( 20.85/3.47 nil(tree) = sF26 | ~mem(tree,sK18(sF26,tree),sF20) | nil(tree) = cons_proj_21(tree,sF26) | (~spl29_46 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19619,f659])). 20.85/3.47 tff(f19619,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF26) | ~distinct(tree,sF26) | nil(tree) = sF26 | ~mem(tree,sK18(sF26,tree),sF20) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f1447,f19590])). 20.85/3.47 tff(f1447,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | ~distinct(X1,X0) | cons_proj_21(X1,X0) = nil(X1) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f328,f343])). 20.85/3.47 tff(f19664,plain,( 20.85/3.47 spl29_358 | spl29_359 | ~spl29_46 | spl29_48 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19638,f19588,f726,f657,f19661,f19656])). 20.85/3.47 tff(f19656,definition,( 20.85/3.47 spl29_358 <=> sF26 = cons(tree,sK19(sF26,tree),nil(tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_358])],[avatar_definition])). 20.85/3.47 tff(f19638,plain,( 20.85/3.47 sF26 = cons(tree,sK19(sF26,tree),nil(tree)) | sF26 = cons(tree,sK18(sF26,tree),sF20) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19631,f728])). 20.85/3.47 tff(f19631,plain,( 20.85/3.47 sF26 = cons(tree,sK19(sF26,tree),nil(tree)) | nil(tree) = sF26 | sF26 = cons(tree,sK18(sF26,tree),sF20) | (~spl29_46 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19609,f659])). 20.85/3.47 tff(f19609,plain,( 20.85/3.47 ~distinct(tree,sF26) | nil(tree) = sF26 | sF26 = cons(tree,sK18(sF26,tree),sF20) | sF26 = cons(tree,sK19(sF26,tree),nil(tree)) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f341,f19590])). 20.85/3.47 tff(f19659,plain,( 20.85/3.47 spl29_357 | spl29_358 | ~spl29_46 | spl29_48 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19637,f19588,f726,f657,f19656,f19653])). 20.85/3.47 tff(f19637,plain,( 20.85/3.47 ( ! [X0 : uni] : (sF26 = cons(tree,sK19(sF26,tree),nil(tree)) | cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = infix_plpl(tree,sF26,X0)) ) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19630,f728])). 20.85/3.47 tff(f19630,plain,( 20.85/3.47 ( ! [X0 : uni] : (nil(tree) = sF26 | sF26 = cons(tree,sK19(sF26,tree),nil(tree)) | cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = infix_plpl(tree,sF26,X0)) ) | (~spl29_46 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19624,f659])). 20.85/3.47 tff(f19624,plain,( 20.85/3.47 ( ! [X0 : uni] : (cons(tree,sK18(sF26,tree),infix_plpl(tree,sF20,X0)) = infix_plpl(tree,sF26,X0) | ~distinct(tree,sF26) | nil(tree) = sF26 | sF26 = cons(tree,sK19(sF26,tree),nil(tree))) ) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f1461,f19590])). 20.85/3.47 tff(f1461,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (infix_plpl(X1,X0,X2) = cons(X1,sK18(X0,X1),infix_plpl(X1,sK17(X0,X1),X2)) | ~distinct(X1,X0) | cons(X1,sK19(X0,X1),nil(X1)) = X0 | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f254,f341])). 20.85/3.47 tff(f19650,plain,( 20.85/3.47 ~spl29_355 | spl29_352 | ~spl29_46 | spl29_48 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19635,f19588,f726,f657,f19592,f19642])). 20.85/3.47 tff(f19635,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF20) | 1 = length2(tree,sF26) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19628,f659])). 20.85/3.47 tff(f19628,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF20) | ~distinct(tree,sF26) | 1 = length2(tree,sF26) | (spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19621,f728])). 20.85/3.47 tff(f19621,plain,( 20.85/3.47 nil(tree) = sF26 | ~mem(tree,sK18(sF26,tree),sF20) | 1 = length2(tree,sF26) | ~distinct(tree,sF26) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f1456,f19590])). 20.85/3.47 tff(f1456,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | ~distinct(X1,X0) | 1 = length2(X1,X0) | nil(X1) = X0) )), 20.85/3.47 inference(evaluation,[],[f1455])). 20.85/3.47 tff(f1455,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | nil(X1) = X0 | length2(X1,X0) = $sum(1,0) | ~distinct(X1,X0)) )), 20.85/3.47 inference(forward_demodulation,[],[f1449,f350])). 20.85/3.47 tff(f1449,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (length2(X1,X0) = $sum(1,length2(X1,nil(X1))) | nil(X1) = X0 | ~distinct(X1,X0) | ~mem(X1,sK18(X0,X1),sK17(X0,X1))) )), 20.85/3.47 inference(superposition,[],[f351,f343])). 20.85/3.47 tff(f19649,plain,( 20.85/3.47 ~spl29_355 | spl29_356 | ~spl29_46 | spl29_48 | ~spl29_351), 20.85/3.47 inference(avatar_split_clause,[],[f19634,f19588,f726,f657,f19646,f19642])). 20.85/3.47 tff(f19646,definition,( 20.85/3.47 spl29_356 <=> mem(tree,sK19(sF26,tree),sF26)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_356])],[avatar_definition])). 20.85/3.47 tff(f19634,plain,( 20.85/3.47 mem(tree,sK19(sF26,tree),sF26) | ~mem(tree,sK18(sF26,tree),sF20) | (~spl29_46 | spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19627,f659])). 20.85/3.47 tff(f19627,plain,( 20.85/3.47 ~distinct(tree,sF26) | mem(tree,sK19(sF26,tree),sF26) | ~mem(tree,sK18(sF26,tree),sF20) | (spl29_48 | ~spl29_351)), 20.85/3.47 inference(subsumption_resolution,[],[f19622,f728])). 20.85/3.47 tff(f19622,plain,( 20.85/3.47 ~mem(tree,sK18(sF26,tree),sF20) | nil(tree) = sF26 | mem(tree,sK19(sF26,tree),sF26) | ~distinct(tree,sF26) | ~spl29_351), 20.85/3.47 inference(superposition,[],[f1458,f19590])). 20.85/3.47 tff(f1458,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~mem(X1,sK18(X0,X1),sK17(X0,X1)) | nil(X1) = X0 | ~distinct(X1,X0) | mem(X1,sK19(X0,X1),X0)) )), 20.85/3.47 inference(subsumption_resolution,[],[f1452,f342])). 20.85/3.47 tff(f1452,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : ty] : (~sort1(X1,sK19(X0,X1)) | mem(X1,sK19(X0,X1),X0) | nil(X1) = X0 | ~distinct(X1,X0) | ~mem(X1,sK18(X0,X1),sK17(X0,X1))) )), 20.85/3.47 inference(superposition,[],[f397,f343])). 20.85/3.47 tff(f19606,plain,( 20.85/3.47 spl29_351 | spl29_352 | ~spl29_46 | spl29_48 | ~spl29_50), 20.85/3.47 inference(avatar_split_clause,[],[f19586,f749,f726,f657,f19592,f19588])). 20.85/3.47 tff(f19586,plain,( 20.85/3.47 1 = length2(tree,sF26) | sK17(sF26,tree) = sF20 | (~spl29_46 | spl29_48 | ~spl29_50)), 20.85/3.47 inference(subsumption_resolution,[],[f19560,f728])). 20.85/3.47 tff(f19560,plain,( 20.85/3.47 1 = length2(tree,sF26) | sK17(sF26,tree) = sF20 | nil(tree) = sF26 | (~spl29_46 | ~spl29_50)), 20.85/3.47 inference(subsumption_resolution,[],[f19510,f659])). 20.85/3.47 tff(f19510,plain,( 20.85/3.47 ~distinct(tree,sF26) | 1 = length2(tree,sF26) | nil(tree) = sF26 | sK17(sF26,tree) = sF20 | ~spl29_50), 20.85/3.47 inference(superposition,[],[f4017,f751])). 20.85/3.47 tff(f19605,plain,( 20.85/3.47 spl29_341 | ~spl29_354 | ~spl29_18 | spl29_163 | spl29_332), 20.85/3.47 inference(avatar_split_clause,[],[f19585,f16808,f5304,f484,f19602,f16947])). 20.85/3.47 tff(f19585,plain,( 20.85/3.47 empty1 != tb2t2(sK19(sK17(sF21,tree),tree)) | 1 = length2(tree,sF21) | (~spl29_18 | spl29_163 | spl29_332)), 20.85/3.47 inference(subsumption_resolution,[],[f19558,f486])). 20.85/3.47 tff(f19558,plain,( 20.85/3.47 empty1 != tb2t2(sK19(sK17(sF21,tree),tree)) | 1 = length2(tree,sF21) | ~distinct(tree,sF21) | (spl29_163 | spl29_332)), 20.85/3.47 inference(subsumption_resolution,[],[f19526,f5305])). 20.85/3.47 tff(f19526,plain,( 20.85/3.47 nil(tree) = sF21 | empty1 != tb2t2(sK19(sK17(sF21,tree),tree)) | 1 = length2(tree,sF21) | ~distinct(tree,sF21) | spl29_332), 20.85/3.47 inference(superposition,[],[f16810,f4017])). 20.85/3.47 tff(f19600,plain,( 20.85/3.47 ~spl29_353 | spl29_341 | ~spl29_18 | spl29_163 | spl29_318), 20.85/3.47 inference(avatar_split_clause,[],[f19584,f16534,f5304,f484,f16947,f19597])). 20.85/3.47 tff(f19584,plain,( 20.85/3.47 1 = length2(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,sK17(sF21,tree))) | (~spl29_18 | spl29_163 | spl29_318)), 20.85/3.47 inference(subsumption_resolution,[],[f19556,f486])). 20.85/3.47 tff(f19556,plain,( 20.85/3.47 1 = length2(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,sK17(sF21,tree))) | ~distinct(tree,sF21) | (spl29_163 | spl29_318)), 20.85/3.47 inference(subsumption_resolution,[],[f19528,f5305])). 20.85/3.47 tff(f19528,plain,( 20.85/3.47 1 = length2(tree,sF21) | nil(tree) = sF21 | ~distinct(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,sK17(sF21,tree))) | spl29_318), 20.85/3.47 inference(superposition,[],[f16536,f4017])). 20.85/3.47 tff(f19595,plain,( 20.85/3.47 spl29_351 | spl29_352 | ~spl29_46 | spl29_48 | ~spl29_50), 20.85/3.47 inference(avatar_split_clause,[],[f19563,f749,f726,f657,f19592,f19588])). 20.85/3.47 tff(f19563,plain,( 20.85/3.47 sK17(sF26,tree) = sF20 | 1 = length2(tree,sF26) | (~spl29_46 | spl29_48 | ~spl29_50)), 20.85/3.47 inference(subsumption_resolution,[],[f19550,f728])). 20.85/3.47 tff(f19550,plain,( 20.85/3.47 1 = length2(tree,sF26) | sK17(sF26,tree) = sF20 | nil(tree) = sF26 | (~spl29_46 | ~spl29_50)), 20.85/3.47 inference(subsumption_resolution,[],[f19536,f659])). 20.85/3.47 tff(f19536,plain,( 20.85/3.47 1 = length2(tree,sF26) | sK17(sF26,tree) = sF20 | ~distinct(tree,sF26) | nil(tree) = sF26 | ~spl29_50), 20.85/3.47 inference(superposition,[],[f751,f4017])). 20.85/3.47 tff(f19583,plain,( 20.85/3.47 spl29_118 | ~spl29_350 | spl29_338 | ~spl29_15 | spl29_326), 20.85/3.47 inference(avatar_split_clause,[],[f19555,f16604,f469,f16934,f19580,f2345])). 20.85/3.47 tff(f19555,plain,( 20.85/3.47 nil(tree) = sF23 | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | 1 = length2(tree,sF23) | (~spl29_15 | spl29_326)), 20.85/3.47 inference(subsumption_resolution,[],[f19531,f471])). 20.85/3.47 tff(f19531,plain,( 20.85/3.47 1 = length2(tree,sF23) | nil(tree) = sF23 | empty1 != tb2t2(sK19(sK17(sF23,tree),tree)) | ~distinct(tree,sF23) | spl29_326), 20.85/3.47 inference(superposition,[],[f16606,f4017])). 20.85/3.47 tff(f19578,plain,( 20.85/3.47 spl29_337 | ~spl29_349 | spl29_115 | ~spl29_21 | spl29_312), 20.85/3.47 inference(avatar_split_clause,[],[f19554,f16494,f499,f2332,f19575,f16928])). 20.85/3.47 tff(f19554,plain,( 20.85/3.47 1 = length2(tree,sF22) | nil(tree) = sF22 | empty1 != tb2t2(cons_proj_11(tree,sK17(sF22,tree))) | (~spl29_21 | spl29_312)), 20.85/3.47 inference(subsumption_resolution,[],[f19530,f501])). 20.85/3.47 tff(f19530,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,sK17(sF22,tree))) | nil(tree) = sF22 | 1 = length2(tree,sF22) | ~distinct(tree,sF22) | spl29_312), 20.85/3.47 inference(superposition,[],[f16496,f4017])). 20.85/3.47 tff(f19573,plain,( 20.85/3.47 spl29_115 | ~spl29_348 | spl29_337 | ~spl29_21 | spl29_320), 20.85/3.47 inference(avatar_split_clause,[],[f19553,f16557,f499,f16928,f19570,f2332])). 20.85/3.47 tff(f19553,plain,( 20.85/3.47 nil(tree) = sF22 | empty1 != tb2t2(sK19(sK17(sF22,tree),tree)) | 1 = length2(tree,sF22) | (~spl29_21 | spl29_320)), 20.85/3.47 inference(subsumption_resolution,[],[f19529,f501])). 20.85/3.47 tff(f19529,plain,( 20.85/3.47 nil(tree) = sF22 | ~distinct(tree,sF22) | empty1 != tb2t2(sK19(sK17(sF22,tree),tree)) | 1 = length2(tree,sF22) | spl29_320), 20.85/3.47 inference(superposition,[],[f16559,f4017])). 20.85/3.47 tff(f19568,plain,( 20.85/3.47 spl29_118 | spl29_338 | ~spl29_347 | ~spl29_15 | spl29_314), 20.85/3.47 inference(avatar_split_clause,[],[f19551,f16506,f469,f19565,f16934,f2345])). 20.85/3.47 tff(f19551,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,sK17(sF23,tree))) | nil(tree) = sF23 | 1 = length2(tree,sF23) | (~spl29_15 | spl29_314)), 20.85/3.47 inference(subsumption_resolution,[],[f19533,f471])). 20.85/3.47 tff(f19533,plain,( 20.85/3.47 1 = length2(tree,sF23) | nil(tree) = sF23 | empty1 != tb2t2(cons_proj_11(tree,sK17(sF23,tree))) | ~distinct(tree,sF23) | spl29_314), 20.85/3.47 inference(superposition,[],[f16508,f4017])). 20.85/3.47 tff(f19475,plain,( 20.85/3.47 ~spl29_346 | ~spl29_13 | spl29_36 | spl29_345), 20.85/3.47 inference(avatar_split_clause,[],[f19474,f19433,f594,f459,f19441])). 20.85/3.47 tff(f19441,definition,( 20.85/3.47 spl29_346 <=> mem(tree,sF25,cons(tree,t2tb2(empty1),sF24))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_346])],[avatar_definition])). 20.85/3.47 tff(f594,definition,( 20.85/3.47 spl29_36 <=> mem(tree,sF25,sF22)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_36])],[avatar_definition])). 20.85/3.47 tff(f19433,definition,( 20.85/3.47 spl29_345 <=> mem(tree,sF25,cons(tree,t2tb2(empty1),sF23))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_345])],[avatar_definition])). 20.85/3.47 tff(f19474,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF24)) | (~spl29_13 | spl29_36 | spl29_345)), 20.85/3.47 inference(subsumption_resolution,[],[f19471,f596])). 20.85/3.47 tff(f596,plain,( 20.85/3.47 ~mem(tree,sF25,sF22) | spl29_36), 20.85/3.47 inference(avatar_component_clause,[],[f594])). 20.85/3.47 tff(f19471,plain,( 20.85/3.47 mem(tree,sF25,sF22) | ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF24)) | (~spl29_13 | spl29_345)), 20.85/3.47 inference(resolution,[],[f19435,f3704])). 20.85/3.47 tff(f3704,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : uni] : (mem(tree,X0,cons(tree,X1,sF23)) | ~mem(tree,X0,cons(tree,X1,sF24)) | mem(tree,X0,sF22)) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f1278,f461])). 20.85/3.47 tff(f1278,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni,X4 : uni] : (~mem(X0,X4,cons(X0,X1,infix_plpl(X0,X2,X3))) | mem(X0,X4,cons(X0,X1,X2)) | mem(X0,X4,X3)) )), 20.85/3.47 inference(superposition,[],[f281,f254])). 20.85/3.47 tff(f19435,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF23)) | spl29_345), 20.85/3.47 inference(avatar_component_clause,[],[f19433])). 20.85/3.47 tff(f19444,plain,( 20.85/3.47 ~spl29_346 | ~spl29_13 | spl29_29 | spl29_36 | spl29_102), 20.85/3.47 inference(avatar_split_clause,[],[f19438,f2117,f594,f553,f459,f19441])). 20.85/3.47 tff(f553,definition,( 20.85/3.47 spl29_29 <=> mem(tree,sF25,sF23)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_29])],[avatar_definition])). 20.85/3.47 tff(f2117,definition,( 20.85/3.47 spl29_102 <=> mem(tree,sF25,cons(tree,t2tb2(empty1),nil(tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_102])],[avatar_definition])). 20.85/3.47 tff(f19438,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF24)) | (~spl29_13 | spl29_29 | spl29_36 | spl29_102)), 20.85/3.47 inference(subsumption_resolution,[],[f19428,f555])). 20.85/3.47 tff(f555,plain,( 20.85/3.47 ~mem(tree,sF25,sF23) | spl29_29), 20.85/3.47 inference(avatar_component_clause,[],[f553])). 20.85/3.47 tff(f19428,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF24)) | mem(tree,sF25,sF23) | (~spl29_13 | spl29_36 | spl29_102)), 20.85/3.47 inference(subsumption_resolution,[],[f19419,f596])). 20.85/3.47 tff(f19419,plain,( 20.85/3.47 mem(tree,sF25,sF22) | mem(tree,sF25,sF23) | ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF24)) | (~spl29_13 | spl29_102)), 20.85/3.47 inference(resolution,[],[f19394,f3704])). 20.85/3.47 tff(f19394,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,sF25,cons(tree,t2tb2(empty1),X0)) | mem(tree,sF25,X0)) ) | spl29_102), 20.85/3.47 inference(resolution,[],[f3707,f2118])). 20.85/3.47 tff(f2118,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),nil(tree))) | spl29_102), 20.85/3.47 inference(avatar_component_clause,[],[f2117])). 20.85/3.47 tff(f3707,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (mem(X1,X2,cons(X1,X3,nil(X1))) | mem(X1,X2,X0) | ~mem(X1,X2,cons(X1,X3,X0))) )), 20.85/3.47 inference(superposition,[],[f1278,f255])). 20.85/3.47 tff(f19439,plain,( 20.85/3.47 ~spl29_345 | ~spl29_13 | spl29_102 | spl29_138), 20.85/3.47 inference(avatar_split_clause,[],[f19437,f2581,f2117,f459,f19433])). 20.85/3.47 tff(f2581,definition,( 20.85/3.47 spl29_138 <=> mem(tree,sF25,sF24)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_138])],[avatar_definition])). 20.85/3.47 tff(f19437,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF23)) | (~spl29_13 | spl29_102 | spl29_138)), 20.85/3.47 inference(subsumption_resolution,[],[f19415,f2583])). 20.85/3.47 tff(f2583,plain,( 20.85/3.47 ~mem(tree,sF25,sF24) | spl29_138), 20.85/3.47 inference(avatar_component_clause,[],[f2581])). 20.85/3.47 tff(f19415,plain,( 20.85/3.47 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF23)) | mem(tree,sF25,sF24) | (~spl29_13 | spl29_102)), 20.85/3.47 inference(resolution,[],[f19394,f3082])). 20.85/3.47 tff(f3082,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : uni] : (mem(tree,X0,cons(tree,X1,sF24)) | ~mem(tree,X0,cons(tree,X1,sF23))) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f1271,f461])). 20.85/3.47 tff(f1271,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni,X4 : uni] : (mem(X0,X4,cons(X0,X1,infix_plpl(X0,X2,X3))) | ~mem(X0,X4,cons(X0,X1,X2))) )), 20.85/3.47 inference(superposition,[],[f282,f254])). 20.85/3.47 tff(f19436,plain,( 20.85/3.47 spl29_344 | ~spl29_345 | ~spl29_13 | spl29_102), 20.85/3.47 inference(avatar_split_clause,[],[f19417,f2117,f459,f19433,f19430])). 20.85/3.47 tff(f19430,definition,( 20.85/3.47 spl29_344 <=> ! [X0 : uni] : mem(tree,sF25,infix_plpl(tree,sF24,X0))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_344])],[avatar_definition])). 20.85/3.47 tff(f19417,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,sF25,cons(tree,t2tb2(empty1),sF23)) | mem(tree,sF25,infix_plpl(tree,sF24,X0))) ) | (~spl29_13 | spl29_102)), 20.85/3.47 inference(resolution,[],[f19394,f3083])). 20.85/3.47 tff(f3083,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : uni] : (mem(tree,X1,cons(tree,X2,infix_plpl(tree,sF24,X0))) | ~mem(tree,X1,cons(tree,X2,sF23))) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f1271,f1279])). 20.85/3.47 tff(f1279,plain,( 20.85/3.47 ( ! [X0 : uni] : (infix_plpl(tree,sF24,X0) = infix_plpl(tree,sF23,infix_plpl(tree,sF22,X0))) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f359,f461])). 20.85/3.47 tff(f359,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : ty,X0 : uni,X1 : uni] : (infix_plpl(X3,infix_plpl(X3,X2,X0),X1) = infix_plpl(X3,X2,infix_plpl(X3,X0,X1))) )), 20.85/3.47 inference(cnf_transformation,[],[f243])). 20.85/3.47 tff(f243,plain,( 20.85/3.47 ! [X0 : uni,X1 : uni,X2 : uni,X3 : ty] : infix_plpl(X3,infix_plpl(X3,X2,X0),X1) = infix_plpl(X3,X2,infix_plpl(X3,X0,X1))), 20.85/3.47 inference(rectify,[],[f134])). 20.85/3.47 tff(f134,plain,( 20.85/3.47 ! [X1 : uni,X3 : uni,X2 : uni,X0 : ty] : infix_plpl(X0,infix_plpl(X0,X2,X1),X3) = infix_plpl(X0,X2,infix_plpl(X0,X1,X3))), 20.85/3.47 inference(rectify,[],[f69])). 20.85/3.47 tff(f69,axiom,( 20.85/3.47 ! [X0 : ty,X7 : uni,X15 : uni,X31 : uni] : infix_plpl(X0,X15,infix_plpl(X0,X7,X31)) = infix_plpl(X0,infix_plpl(X0,X15,X7),X31)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f19385,plain,( 20.85/3.47 spl29_343 | ~spl29_20), 20.85/3.47 inference(avatar_split_clause,[],[f19364,f494,f19382])). 20.85/3.47 tff(f19382,definition,( 20.85/3.47 spl29_343 <=> $sum(length2(tree,sF26),2) = $sum(1,$sum(length2(tree,sF20),2))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_343])],[avatar_definition])). 20.85/3.47 tff(f19364,plain,( 20.85/3.47 $sum(length2(tree,sF26),2) = $sum(1,$sum(length2(tree,sF20),2)) | ~spl29_20), 20.85/3.47 inference(forward_demodulation,[],[f19349,f3371])). 20.85/3.47 tff(f3371,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (length2(X0,infix_plpl(X0,X1,cons(X0,X3,cons(X0,X2,nil(X0))))) = $sum(length2(X0,X1),2)) )), 20.85/3.47 inference(evaluation,[],[f3341])). 20.85/3.47 tff(f3341,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (length2(X0,infix_plpl(X0,X1,cons(X0,X3,cons(X0,X2,nil(X0))))) = $sum(length2(X0,X1),$sum(1,1))) )), 20.85/3.47 inference(superposition,[],[f1263,f1190])). 20.85/3.47 tff(f19349,plain,( 20.85/3.47 ( ! [X0 : uni,X1 : uni] : ($sum(1,$sum(length2(tree,sF20),2)) = length2(tree,infix_plpl(tree,sF26,cons(tree,X0,cons(tree,X1,nil(tree)))))) ) | ~spl29_20), 20.85/3.47 inference(superposition,[],[f2531,f3371])). 20.85/3.47 tff(f2531,plain,( 20.85/3.47 ( ! [X0 : uni] : ($sum(1,length2(tree,infix_plpl(tree,sF20,X0))) = length2(tree,infix_plpl(tree,sF26,X0))) ) | ~spl29_20), 20.85/3.47 inference(superposition,[],[f351,f1266])). 20.85/3.47 tff(f17751,plain,( 20.85/3.47 spl29_92 | ~spl29_66 | ~spl29_76), 20.85/3.47 inference(avatar_split_clause,[],[f17749,f1779,f1739,f1843])). 20.85/3.47 tff(f1843,definition,( 20.85/3.47 spl29_92 <=> ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK12(X0)),sF20))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_92])],[avatar_definition])). 20.85/3.47 tff(f1739,definition,( 20.85/3.47 spl29_66 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | sK14(X0) = sK11(X0))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_66])],[avatar_definition])). 20.85/3.47 tff(f1779,definition,( 20.85/3.47 spl29_76 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK14(X0)) = X0)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_76])],[avatar_definition])). 20.85/3.47 tff(f17749,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK12(X0)),sF20)) ) | (~spl29_66 | ~spl29_76)), 20.85/3.47 inference(subsumption_resolution,[],[f17741,f5174])). 20.85/3.47 tff(f5174,plain,( 20.85/3.47 ( ! [X0 : tree1] : (mem(tree,t2tb2(sK11(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_66), 20.85/3.47 inference(superposition,[],[f4808,f320])). 20.85/3.47 tff(f320,plain,( 20.85/3.47 ( ! [X0 : tree1] : (tb2t2(t2tb2(X0)) = X0) )), 20.85/3.47 inference(cnf_transformation,[],[f146])). 20.85/3.47 tff(f146,plain,( 20.85/3.47 ! [X0 : tree1] : tb2t2(t2tb2(X0)) = X0), 20.85/3.47 inference(rectify,[],[f50])). 20.85/3.47 tff(f50,axiom,( 20.85/3.47 ! [X10 : tree1] : tb2t2(t2tb2(X10)) = X10), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f4808,plain,( 20.85/3.47 ( ! [X0 : uni] : (mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23)) ) | ~spl29_66), 20.85/3.47 inference(duplicate_literal_removal,[],[f4807])). 20.85/3.47 tff(f4807,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23)) ) | ~spl29_66), 20.85/3.47 inference(forward_demodulation,[],[f4803,f337])). 20.85/3.47 tff(f4803,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,t2tb2(tb2t2(X0)),sF23) | mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23)) ) | ~spl29_66), 20.85/3.47 inference(superposition,[],[f389,f3760])). 20.85/3.47 tff(f3760,plain,( 20.85/3.47 ( ! [X0 : uni] : (sK11(tb2t2(X0)) = sK14(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | ~spl29_66), 20.85/3.47 inference(superposition,[],[f1740,f337])). 20.85/3.47 tff(f1740,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | sK14(X0) = sK11(X0)) ) | ~spl29_66), 20.85/3.47 inference(avatar_component_clause,[],[f1739])). 20.85/3.47 tff(f389,plain,( 20.85/3.47 ( ! [X14 : tree1] : (mem(tree,t2tb2(sK14(X14)),sF21) | ~mem(tree,t2tb2(X14),sF23)) )), 20.85/3.47 inference(definition_folding,[],[f290,f384,f376])). 20.85/3.47 tff(f384,definition,( 20.85/3.47 t2tb1(sK13) = sF23), 20.85/3.47 introduced(definition,[new_symbols(definition,[sF23])],[function_definition])). 20.85/3.47 tff(f290,plain,( 20.85/3.47 ( ! [X14 : tree1] : (mem(tree,t2tb2(sK14(X14)),t2tb1(sK5)) | ~mem(tree,t2tb2(X14),t2tb1(sK13))) )), 20.85/3.47 inference(cnf_transformation,[],[f215])). 20.85/3.47 tff(f17741,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK11(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK12(X0)),sF20) | node1(sK12(X0),sK11(X0)) = X0) ) | ~spl29_76), 20.85/3.47 inference(subsumption_resolution,[],[f17727,f389])). 20.85/3.47 tff(f17727,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(sK11(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_76), 20.85/3.47 inference(superposition,[],[f779,f1780])). 20.85/3.47 tff(f1780,plain,( 20.85/3.47 ( ! [X0 : tree1] : (node1(sK12(X0),sK14(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_76), 20.85/3.47 inference(avatar_component_clause,[],[f1779])). 20.85/3.47 tff(f779,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (node1(sK12(node1(X0,X1)),sK11(node1(X0,X1))) = node1(X0,X1) | ~mem(tree,t2tb2(X1),sF21) | ~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(sK11(node1(X0,X1))),sF21)) )), 20.85/3.47 inference(duplicate_literal_removal,[],[f777])). 20.85/3.47 tff(f777,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(sK11(node1(X0,X1))),sF21) | node1(sK12(node1(X0,X1)),sK11(node1(X0,X1))) = node1(X0,X1) | ~mem(tree,t2tb2(X0),sF20)) )), 20.85/3.47 inference(superposition,[],[f741,f745])). 20.85/3.47 tff(f745,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (node1(X0,sK11(node1(X0,X1))) = node1(X0,X1) | ~mem(tree,t2tb2(X1),sF21) | ~mem(tree,t2tb2(X0),sF20)) )), 20.85/3.47 inference(subsumption_resolution,[],[f743,f380])). 20.85/3.47 tff(f743,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(X1),sF21) | node1(X0,sK11(node1(X0,X1))) = node1(X0,X1) | ~mem(tree,t2tb2(node1(X0,X1)),sF22)) )), 20.85/3.47 inference(superposition,[],[f381,f695])). 20.85/3.47 tff(f695,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (sK12(node1(X0,X1)) = X0 | ~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(X1),sF21)) )), 20.85/3.47 inference(forward_demodulation,[],[f692,f275])). 20.85/3.47 tff(f692,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(X1),sF21) | sK12(node1(X0,X1)) = node_proj_11(node1(X0,X1))) )), 20.85/3.47 inference(resolution,[],[f671,f380])). 20.85/3.47 tff(f671,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF22) | node_proj_11(X0) = sK12(X0)) )), 20.85/3.47 inference(superposition,[],[f275,f381])). 20.85/3.47 tff(f381,plain,( 20.85/3.47 ( ! [X8 : tree1] : (node1(sK12(X8),sK11(X8)) = X8 | ~mem(tree,t2tb2(X8),sF22)) )), 20.85/3.47 inference(definition_folding,[],[f296,f378])). 20.85/3.47 tff(f296,plain,( 20.85/3.47 ( ! [X8 : tree1] : (node1(sK12(X8),sK11(X8)) = X8 | ~mem(tree,t2tb2(X8),t2tb1(sK10))) )), 20.85/3.47 inference(cnf_transformation,[],[f215])). 20.85/3.47 tff(f741,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (node1(sK12(node1(X1,X0)),X0) = node1(X1,X0) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X0),sF21)) )), 20.85/3.47 inference(subsumption_resolution,[],[f739,f380])). 20.85/3.47 tff(f739,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(node1(X1,X0)),sF22) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X0),sF21) | node1(sK12(node1(X1,X0)),X0) = node1(X1,X0)) )), 20.85/3.47 inference(superposition,[],[f381,f686])). 20.85/3.47 tff(f686,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (sK11(node1(X0,X1)) = X1 | ~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(X1),sF21)) )), 20.85/3.47 inference(forward_demodulation,[],[f683,f266])). 20.85/3.47 tff(f683,plain,( 20.85/3.47 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | sK11(node1(X0,X1)) = node_proj_21(node1(X0,X1)) | ~mem(tree,t2tb2(X0),sF20)) )), 20.85/3.47 inference(resolution,[],[f667,f380])). 20.85/3.47 tff(f667,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF22) | node_proj_21(X0) = sK11(X0)) )), 20.85/3.47 inference(superposition,[],[f266,f381])). 20.85/3.47 tff(f17750,plain,( 20.85/3.47 spl29_92 | ~spl29_76), 20.85/3.47 inference(avatar_split_clause,[],[f17742,f1779,f1843])). 20.85/3.47 tff(f17742,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK12(X0)),sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_76), 20.85/3.47 inference(subsumption_resolution,[],[f17725,f389])). 20.85/3.47 tff(f17725,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(sK14(X0)),sF21)) ) | ~spl29_76), 20.85/3.47 inference(superposition,[],[f745,f1780])). 20.85/3.47 tff(f17493,plain,( 20.85/3.47 ~spl29_342 | ~spl29_264 | ~spl29_54 | ~spl29_249), 20.85/3.47 inference(avatar_split_clause,[],[f17477,f11148,f1192,f12261,f17490])). 20.85/3.47 tff(f17490,definition,( 20.85/3.47 spl29_342 <=> all_trees1($sum(1,length2(tree,sF26)),sK5)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_342])],[avatar_definition])). 20.85/3.47 tff(f12261,definition,( 20.85/3.47 spl29_264 <=> all_trees1(length2(tree,sF20),tb2t1(sF22))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_264])],[avatar_definition])). 20.85/3.47 tff(f11148,definition,( 20.85/3.47 spl29_249 <=> ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,X0)),sK5) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_249])],[avatar_definition])). 20.85/3.47 tff(f17477,plain,( 20.85/3.47 ~all_trees1(length2(tree,sF20),tb2t1(sF22)) | ~all_trees1($sum(1,length2(tree,sF26)),sK5) | (~spl29_54 | ~spl29_249)), 20.85/3.47 inference(superposition,[],[f11149,f1194])). 20.85/3.47 tff(f11149,plain,( 20.85/3.47 ( ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,X0)),sK5) | ~all_trees1(X0,tb2t1(sF22))) ) | ~spl29_249), 20.85/3.47 inference(avatar_component_clause,[],[f11148])). 20.85/3.47 tff(f16950,plain,( 20.85/3.47 ~spl29_340 | spl29_341 | ~spl29_18 | spl29_163 | ~spl29_206), 20.85/3.47 inference(avatar_split_clause,[],[f16922,f9798,f5304,f484,f16947,f16943])). 20.85/3.47 tff(f9798,definition,( 20.85/3.47 spl29_206 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | empty1 != tb2t2(X1))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_206])],[avatar_definition])). 20.85/3.47 tff(f16922,plain,( 20.85/3.47 1 = length2(tree,sF21) | empty1 != tb2t2(sK18(sF21,tree)) | (~spl29_18 | spl29_163 | ~spl29_206)), 20.85/3.47 inference(subsumption_resolution,[],[f16914,f5305])). 20.85/3.47 tff(f16914,plain,( 20.85/3.47 1 = length2(tree,sF21) | nil(tree) = sF21 | empty1 != tb2t2(sK18(sF21,tree)) | (~spl29_18 | ~spl29_206)), 20.85/3.47 inference(subsumption_resolution,[],[f16898,f486])). 20.85/3.47 tff(f16898,plain,( 20.85/3.47 1 = length2(tree,sF21) | ~distinct(tree,sF21) | nil(tree) = sF21 | empty1 != tb2t2(sK18(sF21,tree)) | ~spl29_206), 20.85/3.47 inference(resolution,[],[f3779,f9799])). 20.85/3.47 tff(f9799,plain,( 20.85/3.47 ( ! [X1 : uni] : (~mem(tree,X1,sF21) | empty1 != tb2t2(X1)) ) | ~spl29_206), 20.85/3.47 inference(avatar_component_clause,[],[f9798])). 20.85/3.47 tff(f16941,plain,( 20.85/3.47 spl29_338 | ~spl29_339 | spl29_118 | ~spl29_15), 20.85/3.47 inference(avatar_split_clause,[],[f16921,f469,f2345,f16938,f16934])). 20.85/3.47 tff(f16938,definition,( 20.85/3.47 spl29_339 <=> empty1 = tb2t2(sK18(sF23,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_339])],[avatar_definition])). 20.85/3.47 tff(f16921,plain,( 20.85/3.47 1 = length2(tree,sF23) | empty1 != tb2t2(sK18(sF23,tree)) | nil(tree) = sF23 | ~spl29_15), 20.85/3.47 inference(subsumption_resolution,[],[f16900,f471])). 20.85/3.47 tff(f16900,plain,( 20.85/3.47 empty1 != tb2t2(sK18(sF23,tree)) | ~distinct(tree,sF23) | 1 = length2(tree,sF23) | nil(tree) = sF23), 20.85/3.47 inference(resolution,[],[f3779,f662])). 20.85/3.47 tff(f662,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | empty1 != tb2t2(X0)) )), 20.85/3.47 inference(superposition,[],[f547,f337])). 20.85/3.47 tff(f547,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | empty1 != X0) )), 20.85/3.47 inference(superposition,[],[f263,f388])). 20.85/3.47 tff(f388,plain,( 20.85/3.47 ( ! [X14 : tree1] : (node1(sK9,sK14(X14)) = X14 | ~mem(tree,t2tb2(X14),sF23)) )), 20.85/3.47 inference(definition_folding,[],[f291,f384])). 20.85/3.47 tff(f291,plain,( 20.85/3.47 ( ! [X14 : tree1] : (node1(sK9,sK14(X14)) = X14 | ~mem(tree,t2tb2(X14),t2tb1(sK13))) )), 20.85/3.47 inference(cnf_transformation,[],[f215])). 20.85/3.47 tff(f16931,plain,( 20.85/3.47 ~spl29_336 | spl29_337 | spl29_115 | ~spl29_21), 20.85/3.47 inference(avatar_split_clause,[],[f16915,f499,f2332,f16928,f16924])). 20.85/3.47 tff(f16924,definition,( 20.85/3.47 spl29_336 <=> empty1 = tb2t2(sK18(sF22,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_336])],[avatar_definition])). 20.85/3.47 tff(f16915,plain,( 20.85/3.47 nil(tree) = sF22 | 1 = length2(tree,sF22) | empty1 != tb2t2(sK18(sF22,tree)) | ~spl29_21), 20.85/3.47 inference(subsumption_resolution,[],[f16899,f501])). 20.85/3.47 tff(f16899,plain,( 20.85/3.47 1 = length2(tree,sF22) | ~distinct(tree,sF22) | nil(tree) = sF22 | empty1 != tb2t2(sK18(sF22,tree))), 20.85/3.47 inference(resolution,[],[f3779,f661])). 20.85/3.47 tff(f661,plain,( 20.85/3.47 ( ! [X0 : uni] : (~mem(tree,X0,sF22) | empty1 != tb2t2(X0)) )), 20.85/3.47 inference(superposition,[],[f548,f337])). 20.85/3.47 tff(f548,plain,( 20.85/3.47 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF22) | empty1 != X0) )), 20.85/3.47 inference(superposition,[],[f263,f381])). 20.85/3.47 tff(f16862,plain,( 20.85/3.47 ~spl29_335 | spl29_115 | spl29_149 | ~spl29_21 | spl29_320), 20.85/3.47 inference(avatar_split_clause,[],[f16857,f16557,f499,f3270,f2332,f16859])). 20.85/3.47 tff(f16859,definition,( 20.85/3.47 spl29_335 <=> empty1 = tb2t2(sK19(nil(tree),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_335])],[avatar_definition])). 20.85/3.47 tff(f16857,plain,( 20.85/3.47 empty1 != tb2t2(sK19(nil(tree),tree)) | distinct(tree,sK17(sF22,tree)) | nil(tree) = sF22 | (~spl29_21 | spl29_320)), 20.85/3.47 inference(subsumption_resolution,[],[f16855,f501])). 20.85/3.47 tff(f16855,plain,( 20.85/3.47 ~distinct(tree,sF22) | nil(tree) = sF22 | distinct(tree,sK17(sF22,tree)) | empty1 != tb2t2(sK19(nil(tree),tree)) | spl29_320), 20.85/3.47 inference(superposition,[],[f16559,f1392])). 20.85/3.47 tff(f16841,plain,( 20.85/3.47 spl29_118 | spl29_334 | ~spl29_13), 20.85/3.47 inference(avatar_split_clause,[],[f16820,f459,f16839,f2345])). 20.85/3.47 tff(f16839,definition,( 20.85/3.47 spl29_334 <=> ! [X2 : uni,X0 : ty,X1 : uni] : (~sort1(X0,X2) | match_list1(X0,tree,sF24,X1,X2) = X2)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_334])],[avatar_definition])). 20.85/3.47 tff(f16820,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : (nil(tree) = sF23 | ~sort1(X0,X2) | match_list1(X0,tree,sF24,X1,X2) = X2) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f3646,f461])). 20.85/3.47 tff(f3646,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : ty,X0 : ty,X1 : uni,X4 : uni,X5 : uni] : (match_list1(X3,X0,infix_plpl(X0,X1,X2),X4,X5) = X5 | ~sort1(X3,X5) | nil(X0) = X1) )), 20.85/3.47 inference(superposition,[],[f276,f1267])). 20.85/3.47 tff(f1267,plain,( 20.85/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (cons(X1,cons_proj_11(X1,X0),infix_plpl(X1,cons_proj_21(X1,X0),X2)) = infix_plpl(X1,X0,X2) | nil(X1) = X0) )), 20.85/3.47 inference(superposition,[],[f254,f322])). 20.85/3.47 tff(f276,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty,X4 : ty,X5 : uni] : (match_list1(X1,X4,cons(X4,X2,X0),X3,X5) = X5 | ~sort1(X1,X5)) )), 20.85/3.47 inference(cnf_transformation,[],[f198])). 20.85/3.47 tff(f198,plain,( 20.85/3.47 ! [X0 : uni,X1 : ty,X2 : uni,X3 : uni,X4 : ty,X5 : uni] : (match_list1(X1,X4,cons(X4,X2,X0),X3,X5) = X5 | ~sort1(X1,X5))), 20.85/3.47 inference(rectify,[],[f154])). 20.85/3.47 tff(f154,plain,( 20.85/3.47 ! [X5 : uni,X4 : ty,X1 : uni,X2 : uni,X3 : ty,X0 : uni] : (match_list1(X4,X3,cons(X3,X1,X5),X2,X0) = X0 | ~sort1(X4,X0))), 20.85/3.47 inference(ennf_transformation,[],[f102])). 20.85/3.47 tff(f102,plain,( 20.85/3.47 ! [X5 : uni,X1 : uni,X3 : ty,X0 : uni,X4 : ty,X2 : uni] : (sort1(X4,X0) => match_list1(X4,X3,cons(X3,X1,X5),X2,X0) = X0)), 20.85/3.47 inference(rectify,[],[f32])). 20.85/3.47 tff(f32,axiom,( 20.85/3.47 ! [X19 : uni,X4 : uni,X18 : uni,X0 : ty,X13 : ty,X5 : uni] : (sort1(X13,X19) => match_list1(X13,X0,cons(X0,X4,X5),X18,X19) = X19)), 20.85/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.47 tff(f16837,plain,( 20.85/3.47 spl29_333 | spl29_118 | ~spl29_13), 20.85/3.47 inference(avatar_split_clause,[],[f16821,f459,f2345,f16835])). 20.85/3.47 tff(f16835,definition,( 20.85/3.47 spl29_333 <=> ! [X0 : uni,X3 : uni,X2 : uni,X1 : ty] : (~sort1(X1,X3) | match_list1(X1,tree,infix_plpl(tree,sF24,X0),X2,X3) = X3)), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_333])],[avatar_definition])). 20.85/3.47 tff(f16821,plain,( 20.85/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (nil(tree) = sF23 | ~sort1(X1,X3) | match_list1(X1,tree,infix_plpl(tree,sF24,X0),X2,X3) = X3) ) | ~spl29_13), 20.85/3.47 inference(superposition,[],[f3646,f1279])). 20.85/3.47 tff(f16819,plain,( 20.85/3.47 spl29_164 | ~spl29_18 | spl29_163 | spl29_331), 20.85/3.47 inference(avatar_split_clause,[],[f16818,f16804,f5304,f484,f5314])). 20.85/3.47 tff(f5314,definition,( 20.85/3.47 spl29_164 <=> distinct(tree,sK17(sF21,tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_164])],[avatar_definition])). 20.85/3.47 tff(f16818,plain,( 20.85/3.47 distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | spl29_331)), 20.85/3.47 inference(subsumption_resolution,[],[f16817,f325])). 20.85/3.47 tff(f16817,plain,( 20.85/3.47 distinct(tree,sK17(sF21,tree)) | ~distinct(tree,nil(tree)) | (~spl29_18 | spl29_163 | spl29_331)), 20.85/3.47 inference(subsumption_resolution,[],[f16815,f5305])). 20.85/3.47 tff(f16815,plain,( 20.85/3.47 nil(tree) = sF21 | ~distinct(tree,nil(tree)) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_331)), 20.85/3.47 inference(subsumption_resolution,[],[f16813,f486])). 20.85/3.47 tff(f16813,plain,( 20.85/3.47 ~distinct(tree,sF21) | distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | ~distinct(tree,nil(tree)) | spl29_331), 20.85/3.47 inference(superposition,[],[f16806,f1392])). 20.85/3.47 tff(f16806,plain,( 20.85/3.47 ~distinct(tree,cons_proj_21(tree,sF21)) | spl29_331), 20.85/3.47 inference(avatar_component_clause,[],[f16804])). 20.85/3.47 tff(f16811,plain,( 20.85/3.47 spl29_319 | spl29_330 | ~spl29_331 | ~spl29_332 | spl29_318), 20.85/3.47 inference(avatar_split_clause,[],[f16797,f16534,f16808,f16804,f16800,f16538])). 20.85/3.47 tff(f16800,definition,( 20.85/3.47 spl29_330 <=> distinct(tree,sK17(cons_proj_21(tree,sF21),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_330])],[avatar_definition])). 20.85/3.47 tff(f16797,plain,( 20.85/3.47 empty1 != tb2t2(sK19(cons_proj_21(tree,sF21),tree)) | ~distinct(tree,cons_proj_21(tree,sF21)) | nil(tree) = cons_proj_21(tree,sF21) | distinct(tree,sK17(cons_proj_21(tree,sF21),tree)) | spl29_318), 20.85/3.47 inference(superposition,[],[f16536,f1399])). 20.85/3.47 tff(f16792,plain,( 20.85/3.47 spl29_315 | ~spl29_327 | ~spl29_328 | spl29_329 | spl29_316), 20.85/3.47 inference(avatar_split_clause,[],[f16778,f16524,f16789,f16785,f16781,f16520])). 20.85/3.47 tff(f16781,definition,( 20.85/3.47 spl29_327 <=> empty1 = tb2t2(sK19(cons_proj_21(tree,sF24),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_327])],[avatar_definition])). 20.85/3.47 tff(f16789,definition,( 20.85/3.47 spl29_329 <=> distinct(tree,sK17(cons_proj_21(tree,sF24),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_329])],[avatar_definition])). 20.85/3.47 tff(f16778,plain,( 20.85/3.47 distinct(tree,sK17(cons_proj_21(tree,sF24),tree)) | ~distinct(tree,cons_proj_21(tree,sF24)) | nil(tree) = cons_proj_21(tree,sF24) | empty1 != tb2t2(sK19(cons_proj_21(tree,sF24),tree)) | spl29_316), 20.85/3.47 inference(superposition,[],[f16526,f1399])). 20.85/3.47 tff(f16628,plain,( 20.85/3.47 spl29_150 | spl29_118 | ~spl29_15 | spl29_325), 20.85/3.47 inference(avatar_split_clause,[],[f16627,f16600,f469,f2345,f3275])). 20.85/3.47 tff(f16627,plain,( 20.85/3.47 distinct(tree,sK17(sF23,tree)) | nil(tree) = sF23 | (~spl29_15 | spl29_325)), 20.85/3.47 inference(subsumption_resolution,[],[f16625,f325])). 20.85/3.47 tff(f16625,plain,( 20.85/3.47 ~distinct(tree,nil(tree)) | nil(tree) = sF23 | distinct(tree,sK17(sF23,tree)) | (~spl29_15 | spl29_325)), 20.85/3.47 inference(subsumption_resolution,[],[f16623,f471])). 20.85/3.47 tff(f16623,plain,( 20.85/3.47 distinct(tree,sK17(sF23,tree)) | nil(tree) = sF23 | ~distinct(tree,sF23) | ~distinct(tree,nil(tree)) | spl29_325), 20.85/3.47 inference(superposition,[],[f16602,f1392])). 20.85/3.47 tff(f16602,plain,( 20.85/3.47 ~distinct(tree,cons_proj_21(tree,sF23)) | spl29_325), 20.85/3.47 inference(avatar_component_clause,[],[f16600])). 20.85/3.47 tff(f16607,plain,( 20.85/3.47 spl29_313 | spl29_324 | ~spl29_325 | ~spl29_326 | spl29_314), 20.85/3.47 inference(avatar_split_clause,[],[f16593,f16506,f16604,f16600,f16596,f16502])). 20.85/3.47 tff(f16596,definition,( 20.85/3.47 spl29_324 <=> distinct(tree,sK17(cons_proj_21(tree,sF23),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_324])],[avatar_definition])). 20.85/3.47 tff(f16593,plain,( 20.85/3.47 distinct(tree,sK17(cons_proj_21(tree,sF23),tree)) | nil(tree) = cons_proj_21(tree,sF23) | ~distinct(tree,cons_proj_21(tree,sF23)) | empty1 != tb2t2(sK19(cons_proj_21(tree,sF23),tree)) | spl29_314), 20.85/3.47 inference(superposition,[],[f16508,f1399])). 20.85/3.47 tff(f16574,plain,( 20.85/3.47 spl29_149 | spl29_115 | ~spl29_323 | ~spl29_21 | spl29_312), 20.85/3.47 inference(avatar_split_clause,[],[f16569,f16494,f499,f16571,f2332,f3270])). 20.85/3.47 tff(f16571,definition,( 20.85/3.47 spl29_323 <=> empty1 = tb2t2(cons_proj_11(tree,nil(tree)))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_323])],[avatar_definition])). 20.85/3.47 tff(f16569,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,nil(tree))) | distinct(tree,sK17(sF22,tree)) | nil(tree) = sF22 | (~spl29_21 | spl29_312)), 20.85/3.47 inference(subsumption_resolution,[],[f16551,f501])). 20.85/3.47 tff(f16551,plain,( 20.85/3.47 empty1 != tb2t2(cons_proj_11(tree,nil(tree))) | nil(tree) = sF22 | ~distinct(tree,sF22) | distinct(tree,sK17(sF22,tree)) | spl29_312), 20.85/3.47 inference(superposition,[],[f16496,f1392])). 20.85/3.47 tff(f16568,plain,( 20.85/3.47 spl29_311 | ~spl29_320 | ~spl29_321 | spl29_322 | spl29_312), 20.85/3.47 inference(avatar_split_clause,[],[f16554,f16494,f16565,f16561,f16557,f16490])). 20.85/3.47 tff(f16565,definition,( 20.85/3.47 spl29_322 <=> distinct(tree,sK17(cons_proj_21(tree,sF22),tree))), 20.85/3.47 introduced(definition,[new_symbols(naming,[spl29_322])],[avatar_definition])). 20.85/3.47 tff(f16554,plain,( 20.85/3.47 ~distinct(tree,cons_proj_21(tree,sF22)) | empty1 != tb2t2(sK19(cons_proj_21(tree,sF22),tree)) | distinct(tree,sK17(cons_proj_21(tree,sF22),tree)) | nil(tree) = cons_proj_21(tree,sF22) | spl29_312), 20.85/3.47 inference(superposition,[],[f16496,f1399])). 20.85/3.47 tff(f16541,plain,( 20.85/3.47 ~spl29_318 | spl29_319 | spl29_163 | ~spl29_206), 20.85/3.47 inference(avatar_split_clause,[],[f16511,f9798,f5304,f16538,f16534])). 20.85/3.47 tff(f16511,plain,( 20.85/3.47 nil(tree) = cons_proj_21(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF21))) | (spl29_163 | ~spl29_206)), 20.85/3.47 inference(subsumption_resolution,[],[f16462,f5305])). 20.85/3.47 tff(f16462,plain,( 20.85/3.47 nil(tree) = sF21 | nil(tree) = cons_proj_21(tree,sF21) | empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF21))) | ~spl29_206), 20.85/3.47 inference(resolution,[],[f3117,f9799])). 20.85/3.47 tff(f3117,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (mem(X0,cons_proj_11(X0,cons_proj_21(X0,X1)),X1) | nil(X0) = cons_proj_21(X0,X1) | nil(X0) = X1) )), 20.85/3.47 inference(subsumption_resolution,[],[f3110,f279])). 20.85/3.47 tff(f3110,plain,( 20.85/3.47 ( ! [X0 : ty,X1 : uni] : (mem(X0,cons_proj_11(X0,cons_proj_21(X0,X1)),X1) | ~sort1(X0,cons_proj_11(X0,cons_proj_21(X0,X1))) | nil(X0) = cons_proj_21(X0,X1) | nil(X0) = X1) )), 20.85/3.48 inference(resolution,[],[f1297,f1252])). 20.85/3.48 tff(f1297,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~mem(X1,X2,cons_proj_21(X1,X0)) | mem(X1,X2,X0) | ~sort1(X1,X2) | nil(X1) = X0) )), 20.85/3.48 inference(subsumption_resolution,[],[f1296,f279])). 20.85/3.48 tff(f1296,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~mem(X1,X2,cons_proj_21(X1,X0)) | nil(X1) = X0 | ~sort1(X1,X2) | mem(X1,X2,X0) | ~sort1(X1,cons_proj_11(X1,X0))) )), 20.85/3.48 inference(superposition,[],[f356,f322])). 20.85/3.48 tff(f356,plain,( 20.85/3.48 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (mem(X1,X0,cons(X1,X3,X2)) | ~sort1(X1,X3) | ~sort1(X1,X0) | ~mem(X1,X0,X2)) )), 20.85/3.48 inference(cnf_transformation,[],[f242])). 20.85/3.48 tff(f16532,plain,( 20.85/3.48 spl29_317 | spl29_146 | spl29_48 | ~spl29_50), 20.85/3.48 inference(avatar_split_clause,[],[f16510,f749,f726,f3239,f16529])). 20.85/3.48 tff(f16529,definition,( 20.85/3.48 spl29_317 <=> mem(tree,cons_proj_11(tree,sF20),sF26)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_317])],[avatar_definition])). 20.85/3.48 tff(f16510,plain,( 20.85/3.48 nil(tree) = sF20 | mem(tree,cons_proj_11(tree,sF20),sF26) | (spl29_48 | ~spl29_50)), 20.85/3.48 inference(subsumption_resolution,[],[f16480,f728])). 20.85/3.48 tff(f16480,plain,( 20.85/3.48 nil(tree) = sF26 | nil(tree) = sF20 | mem(tree,cons_proj_11(tree,sF20),sF26) | ~spl29_50), 20.85/3.48 inference(superposition,[],[f3117,f751])). 20.85/3.48 tff(f16527,plain,( 20.85/3.48 spl29_315 | ~spl29_316 | ~spl29_13 | ~spl29_25 | spl29_142), 20.85/3.48 inference(avatar_split_clause,[],[f16499,f3076,f522,f459,f16524,f16520])). 20.85/3.48 tff(f16499,plain,( 20.85/3.48 nil(tree) = cons_proj_21(tree,sF24) | empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF24))) | (~spl29_13 | ~spl29_25 | spl29_142)), 20.85/3.48 inference(subsumption_resolution,[],[f16465,f3077])). 20.85/3.48 tff(f16465,plain,( 20.85/3.48 nil(tree) = cons_proj_21(tree,sF24) | nil(tree) = sF24 | empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF24))) | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f3117,f2573])). 20.85/3.48 tff(f2573,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF24) | empty1 != tb2t2(X0)) ) | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2571,f661])). 20.85/3.48 tff(f16509,plain,( 20.85/3.48 spl29_313 | spl29_118 | ~spl29_314), 20.85/3.48 inference(avatar_split_clause,[],[f16464,f16506,f2345,f16502])). 20.85/3.48 tff(f16464,plain,( 20.85/3.48 nil(tree) = cons_proj_21(tree,sF23) | nil(tree) = sF23 | empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF23)))), 20.85/3.48 inference(resolution,[],[f3117,f662])). 20.85/3.48 tff(f16497,plain,( 20.85/3.48 spl29_115 | spl29_311 | ~spl29_312), 20.85/3.48 inference(avatar_split_clause,[],[f16463,f16494,f16490,f2332])). 20.85/3.48 tff(f16463,plain,( 20.85/3.48 nil(tree) = sF22 | nil(tree) = cons_proj_21(tree,sF22) | empty1 != tb2t2(cons_proj_11(tree,cons_proj_21(tree,sF22)))), 20.85/3.48 inference(resolution,[],[f3117,f661])). 20.85/3.48 tff(f14939,plain,( 20.85/3.48 spl29_310 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f14920,f1192,f14936])). 20.85/3.48 tff(f14936,definition,( 20.85/3.48 spl29_310 <=> $sum(1,$sum(1,length2(tree,sF26))) = $sum(2,length2(tree,sF26))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_310])],[avatar_definition])). 20.85/3.48 tff(f14920,plain,( 20.85/3.48 $sum(1,$sum(1,length2(tree,sF26))) = $sum(2,length2(tree,sF26)) | ~spl29_54), 20.85/3.48 inference(forward_demodulation,[],[f14870,f2251])). 20.85/3.48 tff(f14870,plain,( 20.85/3.48 ( ! [X1 : uni] : ($sum(1,$sum(1,length2(tree,sF26))) = $sum(2,length2(tree,cons(tree,X1,sF20)))) ) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f14823,f3042])). 20.85/3.48 tff(f3042,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : uni] : ($sum(1,length2(tree,sF26)) = length2(tree,cons(tree,X0,cons(tree,X1,sF20)))) ) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f1185,f1194])). 20.85/3.48 tff(f14927,plain,( 20.85/3.48 spl29_262 | ~spl29_20), 20.85/3.48 inference(avatar_split_clause,[],[f14839,f494,f11977])). 20.85/3.48 tff(f11977,definition,( 20.85/3.48 spl29_262 <=> $sum(1,length2(tree,sF26)) = $sum(2,length2(tree,sF20))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_262])],[avatar_definition])). 20.85/3.48 tff(f14839,plain,( 20.85/3.48 $sum(1,length2(tree,sF26)) = $sum(2,length2(tree,sF20)) | ~spl29_20), 20.85/3.48 inference(superposition,[],[f14823,f496])). 20.85/3.48 tff(f14805,plain,( 20.85/3.48 spl29_118 | spl29_309 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14757,f459,f14803,f2345])). 20.85/3.48 tff(f14803,definition,( 20.85/3.48 spl29_309 <=> ! [X0 : uni] : infix_plpl(tree,cons_proj_21(tree,sF23),infix_plpl(tree,sF22,X0)) = cons_proj_21(tree,infix_plpl(tree,sF24,X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_309])],[avatar_definition])). 20.85/3.48 tff(f14757,plain,( 20.85/3.48 ( ! [X0 : uni] : (infix_plpl(tree,cons_proj_21(tree,sF23),infix_plpl(tree,sF22,X0)) = cons_proj_21(tree,infix_plpl(tree,sF24,X0)) | nil(tree) = sF23) ) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3649,f1279])). 20.85/3.48 tff(f3649,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (infix_plpl(X0,cons_proj_21(X0,X1),X2) = cons_proj_21(X0,infix_plpl(X0,X1,X2)) | nil(X0) = X1) )), 20.85/3.48 inference(superposition,[],[f328,f1267])). 20.85/3.48 tff(f14795,plain,( 20.85/3.48 spl29_308 | spl29_118 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14756,f459,f2345,f14792])). 20.85/3.48 tff(f14792,definition,( 20.85/3.48 spl29_308 <=> infix_plpl(tree,cons_proj_21(tree,sF23),sF22) = cons_proj_21(tree,sF24)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_308])],[avatar_definition])). 20.85/3.48 tff(f14756,plain,( 20.85/3.48 infix_plpl(tree,cons_proj_21(tree,sF23),sF22) = cons_proj_21(tree,sF24) | nil(tree) = sF23 | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3649,f461])). 20.85/3.48 tff(f14755,plain,( 20.85/3.48 spl29_114 | ~spl29_305 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f14738,f9915,f557,f454,f444,f14740,f2320])). 20.85/3.48 tff(f2320,definition,( 20.85/3.48 spl29_114 <=> ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_114])],[avatar_definition])). 20.85/3.48 tff(f14740,definition,( 20.85/3.48 spl29_305 <=> all_trees1(3,sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_305])],[avatar_definition])). 20.85/3.48 tff(f444,definition,( 20.85/3.48 spl29_10 <=> size1(empty1) = 0), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_10])],[avatar_definition])). 20.85/3.48 tff(f557,definition,( 20.85/3.48 spl29_30 <=> empty1 = sK9), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_30])],[avatar_definition])). 20.85/3.48 tff(f9915,definition,( 20.85/3.48 spl29_229 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | sK9 = node_proj_11(tb2t2(X1)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_229])],[avatar_definition])). 20.85/3.48 tff(f14738,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22) | ~all_trees1(3,sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f14733])). 20.85/3.48 tff(f14733,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~all_trees1($sum(1,$sum(1,$sum(1,0))),sK5) | node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f11110,f1504])). 20.85/3.48 tff(f1504,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (0 = size1(sK12(tb2t2(X0))) | node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1481,f337])). 20.85/3.48 tff(f1481,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X0),sF22) | node1(empty1,X1) != X0 | 0 = size1(sK12(X0))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1121,f446])). 20.85/3.48 tff(f446,plain,( 20.85/3.48 size1(empty1) = 0 | ~spl29_10), 20.85/3.48 inference(avatar_component_clause,[],[f444])). 20.85/3.48 tff(f1121,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (size1(sK12(X0)) = size1(X1) | ~mem(tree,t2tb2(X0),sF22) | node1(X1,X2) != X0) )), 20.85/3.48 inference(superposition,[],[f317,f381])). 20.85/3.48 tff(f317,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : tree1,X1 : tree1] : (node1(X0,X2) != node1(X1,X3) | size1(X0) = size1(X1)) )), 20.85/3.48 inference(cnf_transformation,[],[f224])). 20.85/3.48 tff(f224,plain,( 20.85/3.48 ! [X0 : tree1,X1 : tree1] : (! [X2 : tree1,X3 : tree1] : node1(X0,X2) != node1(X1,X3) | size1(X0) = size1(X1))), 20.85/3.48 inference(rectify,[],[f170])). 20.85/3.48 tff(f170,plain,( 20.85/3.48 ! [X1 : tree1,X0 : tree1] : (! [X3 : tree1,X2 : tree1] : node1(X0,X2) != node1(X1,X3) | size1(X0) = size1(X1))), 20.85/3.48 inference(ennf_transformation,[],[f82])). 20.85/3.48 tff(f82,plain,( 20.85/3.48 ! [X0 : tree1,X1 : tree1] : (size1(X0) != size1(X1) => ! [X3 : tree1,X2 : tree1] : node1(X0,X2) != node1(X1,X3))), 20.85/3.48 inference(rectify,[],[f13])). 20.85/3.48 tff(f13,axiom,( 20.85/3.48 ! [X15 : tree1,X7 : tree1] : (size1(X15) != size1(X7) => ! [X16 : tree1,X17 : tree1] : node1(X15,X16) != node1(X7,X17))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f11110,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,$sum(1,size1(X0)))),sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10986,f1092])). 20.85/3.48 tff(f1092,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum(1,size1(X0)) = size1(node1(X0,empty1))) ) | ~spl29_10), 20.85/3.48 inference(evaluation,[],[f1091])). 20.85/3.48 tff(f1091,plain,( 20.85/3.48 ( ! [X0 : tree1] : (size1(node1(X0,empty1)) = $sum($sum(1,size1(X0)),0)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f305,f446])). 20.85/3.48 tff(f305,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : ($sum($sum(1,size1(X0)),size1(X1)) = size1(node1(X0,X1))) )), 20.85/3.48 inference(cnf_transformation,[],[f140])). 20.85/3.48 tff(f140,plain,( 20.85/3.48 ! [X0 : tree1,X1 : tree1] : $sum($sum(1,size1(X0)),size1(X1)) = size1(node1(X0,X1)) & size1(empty1) = 0), 20.85/3.48 inference(rectify,[],[f8])). 20.85/3.48 tff(f8,axiom,( 20.85/3.48 size1(empty1) = 0 & ! [X6 : tree1,X8 : tree1] : size1(node1(X6,X8)) = $sum($sum(1,size1(X6)),size1(X8))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f10986,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,size1(X0))),sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10919,f1092])). 20.85/3.48 tff(f10919,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(subsumption_resolution,[],[f10909,f559])). 20.85/3.48 tff(f559,plain,( 20.85/3.48 empty1 != sK9 | spl29_30), 20.85/3.48 inference(avatar_component_clause,[],[f557])). 20.85/3.48 tff(f10909,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = sK9 | ~all_trees1($sum(1,size1(X0)),sK5)) ) | (~spl29_10 | ~spl29_12 | ~spl29_229)), 20.85/3.48 inference(forward_demodulation,[],[f10876,f275])). 20.85/3.48 tff(f10876,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK9 = node_proj_11(node1(empty1,X0)) | ~all_trees1($sum(1,size1(X0)),sK5)) ) | (~spl29_10 | ~spl29_12 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10814,f1093])). 20.85/3.48 tff(f1093,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum(1,size1(X0)) = size1(node1(empty1,X0))) ) | ~spl29_10), 20.85/3.48 inference(evaluation,[],[f1090])). 20.85/3.48 tff(f1090,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum($sum(1,0),size1(X0)) = size1(node1(empty1,X0))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f305,f446])). 20.85/3.48 tff(f10814,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK5) | sK9 = node_proj_11(X0)) ) | (~spl29_12 | ~spl29_229)), 20.85/3.48 inference(resolution,[],[f10652,f976])). 20.85/3.48 tff(f10652,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | sK9 = node_proj_11(X0)) ) | ~spl29_229), 20.85/3.48 inference(superposition,[],[f9916,f320])). 20.85/3.48 tff(f9916,plain,( 20.85/3.48 ( ! [X1 : uni] : (sK9 = node_proj_11(tb2t2(X1)) | ~mem(tree,X1,sF21)) ) | ~spl29_229), 20.85/3.48 inference(avatar_component_clause,[],[f9915])). 20.85/3.48 tff(f14754,plain,( 20.85/3.48 ~spl29_305 | spl29_257 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f14737,f9915,f557,f454,f444,f11569,f14740])). 20.85/3.48 tff(f11569,definition,( 20.85/3.48 spl29_257 <=> ! [X0 : tree1,X3 : tree1] : (~$less(0,size1(X0)) | node1(empty1,X3) != X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_257])],[avatar_definition])). 20.85/3.48 tff(f14737,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (node1(empty1,X1) != X0 | ~all_trees1(3,sK5) | ~$less(0,size1(X0))) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f14716])). 20.85/3.48 tff(f14716,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~$less(0,size1(X0)) | ~all_trees1($sum(1,$sum(1,$sum(1,0))),sK5) | node1(empty1,X1) != X0) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f11110,f2923])). 20.85/3.48 tff(f2923,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (0 = size1(sK0(X0)) | node1(empty1,X1) != X0 | ~$less(0,size1(X0))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1116,f446])). 20.85/3.48 tff(f1116,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (size1(sK0(X0)) = size1(X1) | ~$less(0,size1(X0)) | node1(X1,X2) != X0) )), 20.85/3.48 inference(superposition,[],[f317,f249])). 20.85/3.48 tff(f14753,plain,( 20.85/3.48 spl29_307 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14715,f13338,f9915,f557,f454,f444,f14749])). 20.85/3.48 tff(f14749,definition,( 20.85/3.48 spl29_307 <=> ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK5) | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_307])],[avatar_definition])). 20.85/3.48 tff(f13338,definition,( 20.85/3.48 spl29_272 <=> ! [X0 : $int] : (size1(tb2t2(sK19(sF21,tree))) = X0 | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_272])],[avatar_definition])). 20.85/3.48 tff(f14715,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f11110,f13339])). 20.85/3.48 tff(f13339,plain,( 20.85/3.48 ( ! [X0 : $int] : (size1(tb2t2(sK19(sF21,tree))) = X0 | ~all_trees1(X0,sK5)) ) | ~spl29_272), 20.85/3.48 inference(avatar_component_clause,[],[f13338])). 20.85/3.48 tff(f14752,plain,( 20.85/3.48 spl29_307 | ~spl29_10 | ~spl29_12 | spl29_30 | spl29_163 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f14714,f9915,f5304,f557,f454,f444,f14749])). 20.85/3.48 tff(f14714,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | spl29_163 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f11110,f13215])). 20.85/3.48 tff(f14751,plain,( 20.85/3.48 spl29_307 | spl29_207 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f14712,f9915,f557,f454,f444,f9802,f14749])). 20.85/3.48 tff(f9802,definition,( 20.85/3.48 spl29_207 <=> ! [X1 : uni] : ~mem(tree,X1,sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_207])],[avatar_definition])). 20.85/3.48 tff(f14712,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f11110,f2396])). 20.85/3.48 tff(f14747,plain,( 20.85/3.48 spl29_171 | spl29_155 | spl29_306 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f14699,f9915,f557,f454,f444,f14745,f5218,f6246])). 20.85/3.48 tff(f6246,definition,( 20.85/3.48 spl29_171 <=> ! [X1 : tree1] : ~mem(tree,t2tb2(X1),sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_171])],[avatar_definition])). 20.85/3.48 tff(f5218,definition,( 20.85/3.48 spl29_155 <=> ! [X1 : tree1] : ~mem(tree,t2tb2(X1),sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_155])],[avatar_definition])). 20.85/3.48 tff(f14745,definition,( 20.85/3.48 spl29_306 <=> ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK5) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_306])],[avatar_definition])). 20.85/3.48 tff(f14699,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK5) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22))) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f11110,f2719])). 20.85/3.48 tff(f2719,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (size1(node1(X1,X2)) = X0 | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21)) )), 20.85/3.48 inference(resolution,[],[f1228,f380])). 20.85/3.48 tff(f1228,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : uni,X1 : tree1] : (~mem(tree,t2tb2(X1),X0) | ~all_trees1(X2,tb2t1(X0)) | size1(X1) = X2) )), 20.85/3.48 inference(superposition,[],[f331,f318])). 20.85/3.48 tff(f318,plain,( 20.85/3.48 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 20.85/3.48 inference(cnf_transformation,[],[f120])). 20.85/3.48 tff(f120,plain,( 20.85/3.48 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 20.85/3.48 inference(rectify,[],[f9])). 20.85/3.48 tff(f9,axiom,( 20.85/3.48 ! [X9 : uni] : t2tb1(tb2t1(X9)) = X9), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f14743,plain,( 20.85/3.48 ~spl29_305 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f14736,f9915,f557,f454,f444,f14740])). 20.85/3.48 tff(f14736,plain,( 20.85/3.48 ~all_trees1(3,sK5) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f14696])). 20.85/3.48 tff(f14696,plain,( 20.85/3.48 ~all_trees1($sum(1,$sum(1,$sum(1,0))),sK5) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f11110,f446])). 20.85/3.48 tff(f14313,plain,( 20.85/3.48 spl29_216 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14224,f13338,f9838])). 20.85/3.48 tff(f9838,definition,( 20.85/3.48 spl29_216 <=> ! [X2 : $int,X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1(X2,sK5) | X0 = X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_216])],[avatar_definition])). 20.85/3.48 tff(f14224,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : $int] : (~all_trees1(X0,sK5) | ~all_trees1(X1,sK5) | X0 = X1) ) | ~spl29_272), 20.85/3.48 inference(superposition,[],[f13339,f13339])). 20.85/3.48 tff(f14312,plain,( 20.85/3.48 spl29_216 | ~spl29_295 | ~spl29_12 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14227,f13338,f454,f14013,f9838])). 20.85/3.48 tff(f14013,definition,( 20.85/3.48 spl29_295 <=> mem(tree,sK19(sF21,tree),sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_295])],[avatar_definition])). 20.85/3.48 tff(f14227,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : $int] : (~all_trees1(X1,sK5) | ~all_trees1(X0,sK5) | X0 = X1 | ~mem(tree,sK19(sF21,tree),sF21)) ) | (~spl29_12 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f13339,f2396])). 20.85/3.48 tff(f14311,plain,( 20.85/3.48 spl29_210 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14251,f13338,f9814])). 20.85/3.48 tff(f9814,definition,( 20.85/3.48 spl29_210 <=> ! [X0 : $int] : (~$less(X0,0) | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_210])],[avatar_definition])). 20.85/3.48 tff(f14251,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less(X0,0)) ) | ~spl29_272), 20.85/3.48 inference(superposition,[],[f333,f13339])). 20.85/3.48 tff(f333,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~$less(size1(X0),0)) )), 20.85/3.48 inference(cnf_transformation,[],[f124])). 20.85/3.48 tff(f124,plain,( 20.85/3.48 ! [X0 : tree1] : ~$less(size1(X0),0)), 20.85/3.48 inference(rectify,[],[f78])). 20.85/3.48 tff(f78,plain,( 20.85/3.48 ! [X3 : tree1] : ~$less(size1(X3),0)), 20.85/3.48 inference(theory_normalization,[],[f26])). 20.85/3.48 tff(f26,axiom,( 20.85/3.48 ! [X3 : tree1] : $lesseq(0,size1(X3))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f14309,plain,( 20.85/3.48 spl29_209 | ~spl29_272 | spl29_289), 20.85/3.48 inference(avatar_split_clause,[],[f14239,f13793,f13338,f9810])). 20.85/3.48 tff(f13793,definition,( 20.85/3.48 spl29_289 <=> $less(0,size1(tb2t2(sK19(sF21,tree))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_289])],[avatar_definition])). 20.85/3.48 tff(f14239,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less(0,X0)) ) | (~spl29_272 | spl29_289)), 20.85/3.48 inference(superposition,[],[f13795,f13339])). 20.85/3.48 tff(f13795,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | spl29_289), 20.85/3.48 inference(avatar_component_clause,[],[f13793])). 20.85/3.48 tff(f14308,plain,( 20.85/3.48 spl29_268 | spl29_295 | ~spl29_12 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14299,f13338,f454,f14013,f13308])). 20.85/3.48 tff(f13308,definition,( 20.85/3.48 spl29_268 <=> ! [X0 : $int] : ~all_trees1(X0,sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_268])],[avatar_definition])). 20.85/3.48 tff(f14299,plain,( 20.85/3.48 ( ! [X0 : $int] : (mem(tree,sK19(sF21,tree),sF21) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | ~spl29_272)), 20.85/3.48 inference(duplicate_literal_removal,[],[f14242])). 20.85/3.48 tff(f14242,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | mem(tree,sK19(sF21,tree),sF21) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f2045,f13339])). 20.85/3.48 tff(f2045,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(size1(tb2t2(X0)),sK5) | mem(tree,X0,sF21)) ) | ~spl29_12), 20.85/3.48 inference(superposition,[],[f976,f337])). 20.85/3.48 tff(f14307,plain,( 20.85/3.48 spl29_259 | ~spl29_10 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14282,f13338,f444,f11577])). 20.85/3.48 tff(f11577,definition,( 20.85/3.48 spl29_259 <=> ! [X2 : list_tree,X0 : $int,X3 : $int] : ($sum(1,X0) = X3 | ~all_trees1(X3,X2) | ~all_trees1($sum(1,X0),X2) | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_259])],[avatar_definition])). 20.85/3.48 tff(f14282,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : list_tree] : (~all_trees1(X0,sK5) | $sum(1,X0) = X2 | ~all_trees1($sum(1,X0),X1) | ~all_trees1(X2,X1)) ) | (~spl29_10 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f2353,f13339])). 20.85/3.48 tff(f2353,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : tree1,X1 : list_tree] : (~all_trees1($sum(1,size1(X0)),X1) | ~all_trees1(X2,X1) | $sum(1,size1(X0)) = X2) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1225,f1092])). 20.85/3.48 tff(f1225,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : list_tree] : (~all_trees1(size1(X2),X1) | size1(X2) = X0 | ~all_trees1(X0,X1)) )), 20.85/3.48 inference(resolution,[],[f331,f372])). 20.85/3.48 tff(f14306,plain,( 20.85/3.48 spl29_219 | ~spl29_10 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14273,f13338,f444,f9853])). 20.85/3.48 tff(f9853,definition,( 20.85/3.48 spl29_219 <=> ! [X0 : $int] : (~$less($sum(1,X0),0) | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_219])],[avatar_definition])). 20.85/3.48 tff(f14273,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less($sum(1,X0),0)) ) | (~spl29_10 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f2186,f13339])). 20.85/3.48 tff(f2186,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~$less($sum(1,size1(X0)),0)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f333,f1092])). 20.85/3.48 tff(f14305,plain,( 20.85/3.48 spl29_216 | ~spl29_295 | ~spl29_12 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14245,f13338,f454,f14013,f9838])). 20.85/3.48 tff(f14245,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : $int] : (~mem(tree,sK19(sF21,tree),sF21) | ~all_trees1(X1,sK5) | X0 = X1 | ~all_trees1(X0,sK5)) ) | (~spl29_12 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f2396,f13339])). 20.85/3.48 tff(f14304,plain,( 20.85/3.48 spl29_217 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14259,f13338,f9843])). 20.85/3.48 tff(f9843,definition,( 20.85/3.48 spl29_217 <=> ! [X2 : list_tree,X0 : $int,X3 : $int] : (~all_trees1(X0,X2) | ~all_trees1(X3,X2) | X0 = X3 | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_217])],[avatar_definition])). 20.85/3.48 tff(f14259,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : list_tree] : (~all_trees1(X0,sK5) | ~all_trees1(X0,X1) | ~all_trees1(X2,X1) | X0 = X2) ) | ~spl29_272), 20.85/3.48 inference(superposition,[],[f1225,f13339])). 20.85/3.48 tff(f14303,plain,( 20.85/3.48 spl29_251 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229 | ~spl29_272), 20.85/3.48 inference(avatar_split_clause,[],[f14295,f13338,f9915,f557,f454,f444,f11157])). 20.85/3.48 tff(f11157,definition,( 20.85/3.48 spl29_251 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1($sum(1,$sum(1,X0)),sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_251])],[avatar_definition])). 20.85/3.48 tff(f14295,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,X0)),sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229 | ~spl29_272)), 20.85/3.48 inference(superposition,[],[f10986,f13339])). 20.85/3.48 tff(f14200,plain,( 20.85/3.48 spl29_164 | ~spl29_293 | ~spl29_18 | spl29_163 | spl29_282), 20.85/3.48 inference(avatar_split_clause,[],[f14199,f13450,f5304,f484,f13880,f5314])). 20.85/3.48 tff(f13880,definition,( 20.85/3.48 spl29_293 <=> all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_293])],[avatar_definition])). 20.85/3.48 tff(f14199,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | (~spl29_18 | spl29_163 | spl29_282)), 20.85/3.48 inference(subsumption_resolution,[],[f14198,f5305])). 20.85/3.48 tff(f14198,plain,( 20.85/3.48 ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | (~spl29_18 | spl29_282)), 20.85/3.48 inference(subsumption_resolution,[],[f14178,f486])). 20.85/3.48 tff(f14178,plain,( 20.85/3.48 ~distinct(tree,sF21) | ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | spl29_282), 20.85/3.48 inference(superposition,[],[f13452,f1399])). 20.85/3.48 tff(f14176,plain,( 20.85/3.48 ~spl29_304 | spl29_164 | ~spl29_18 | spl29_163 | spl29_271), 20.85/3.48 inference(avatar_split_clause,[],[f14171,f13327,f5304,f484,f5314,f14173])). 20.85/3.48 tff(f14173,definition,( 20.85/3.48 spl29_304 <=> empty1 = sK11(tb2t2(sK19(sF21,tree)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_304])],[avatar_definition])). 20.85/3.48 tff(f14171,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | empty1 != sK11(tb2t2(sK19(sF21,tree))) | (~spl29_18 | spl29_163 | spl29_271)), 20.85/3.48 inference(subsumption_resolution,[],[f14170,f5305])). 20.85/3.48 tff(f14170,plain,( 20.85/3.48 empty1 != sK11(tb2t2(sK19(sF21,tree))) | nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_271)), 20.85/3.48 inference(subsumption_resolution,[],[f14168,f486])). 20.85/3.48 tff(f14168,plain,( 20.85/3.48 ~distinct(tree,sF21) | empty1 != sK11(tb2t2(sK19(sF21,tree))) | distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | spl29_271), 20.85/3.48 inference(superposition,[],[f13329,f1399])). 20.85/3.48 tff(f14118,plain,( 20.85/3.48 spl29_303 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14099,f459,f14115])). 20.85/3.48 tff(f14115,definition,( 20.85/3.48 spl29_303 <=> $sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))) = $sum(2,length2(tree,sF24))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_303])],[avatar_definition])). 20.85/3.48 tff(f14099,plain,( 20.85/3.48 $sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))) = $sum(2,length2(tree,sF24)) | ~spl29_13), 20.85/3.48 inference(forward_demodulation,[],[f14039,f3603])). 20.85/3.48 tff(f14039,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : uni] : ($sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))) = length2(tree,cons(tree,X1,cons(tree,X0,sF24)))) ) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f351,f3552])). 20.85/3.48 tff(f14111,plain,( 20.85/3.48 spl29_302 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14069,f459,f14108])). 20.85/3.48 tff(f14108,definition,( 20.85/3.48 spl29_302 <=> $sum(1,$sum(2,length2(tree,sF24))) = $sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_302])],[avatar_definition])). 20.85/3.48 tff(f14069,plain,( 20.85/3.48 $sum(1,$sum(2,length2(tree,sF24))) = $sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))) | ~spl29_13), 20.85/3.48 inference(forward_demodulation,[],[f14049,f3603])). 20.85/3.48 tff(f14049,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : uni] : ($sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))) = $sum(1,length2(tree,cons(tree,X1,cons(tree,X0,sF24))))) ) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3033,f3552])). 20.85/3.48 tff(f3033,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($sum(1,$sum(1,length2(X0,X2))) = $sum(1,length2(X0,cons(X0,X1,X2)))) )), 20.85/3.48 inference(superposition,[],[f1185,f351])). 20.85/3.48 tff(f14106,plain,( 20.85/3.48 ~spl29_301 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14051,f459,f14103])). 20.85/3.48 tff(f14103,definition,( 20.85/3.48 spl29_301 <=> 0 = $sum(1,$sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_301])],[avatar_definition])). 20.85/3.48 tff(f14051,plain,( 20.85/3.48 0 != $sum(1,$sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))))) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3053,f3552])). 20.85/3.48 tff(f3053,plain,( 20.85/3.48 ( ! [X0 : ty,X1 : uni] : (0 != $sum(1,$sum(1,$sum(1,length2(X0,X1))))) )), 20.85/3.48 inference(superposition,[],[f1196,f1185])). 20.85/3.48 tff(f1196,plain,( 20.85/3.48 ( ! [X0 : ty,X1 : uni] : (0 != $sum(1,length2(X0,X1))) )), 20.85/3.48 inference(subsumption_resolution,[],[f1188,f338])). 20.85/3.48 tff(f1188,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (nil(X0) = cons(X0,X2,X1) | 0 != $sum(1,length2(X0,X1))) )), 20.85/3.48 inference(superposition,[],[f262,f351])). 20.85/3.48 tff(f14098,plain,( 20.85/3.48 ~spl29_300 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14047,f459,f14095])). 20.85/3.48 tff(f14095,definition,( 20.85/3.48 spl29_300 <=> $less($sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))),0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_300])],[avatar_definition])). 20.85/3.48 tff(f14047,plain,( 20.85/3.48 ~$less($sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))),0) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f1914,f3552])). 20.85/3.48 tff(f1914,plain,( 20.85/3.48 ( ! [X0 : ty,X1 : uni] : (~$less($sum(1,$sum(1,length2(X0,X1))),0)) )), 20.85/3.48 inference(superposition,[],[f1189,f351])). 20.85/3.48 tff(f1189,plain,( 20.85/3.48 ( ! [X0 : ty,X1 : uni] : (~$less($sum(1,length2(X0,X1)),0)) )), 20.85/3.48 inference(superposition,[],[f256,f351])). 20.85/3.48 tff(f14093,plain,( 20.85/3.48 ~spl29_299 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14050,f459,f14090])). 20.85/3.48 tff(f14090,definition,( 20.85/3.48 spl29_299 <=> $less($sum(1,$sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))))),0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_299])],[avatar_definition])). 20.85/3.48 tff(f14050,plain,( 20.85/3.48 ~$less($sum(1,$sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))))),0) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3052,f3552])). 20.85/3.48 tff(f3052,plain,( 20.85/3.48 ( ! [X0 : ty,X1 : uni] : (~$less($sum(1,$sum(1,$sum(1,length2(X0,X1)))),0)) )), 20.85/3.48 inference(superposition,[],[f1189,f1185])). 20.85/3.48 tff(f14088,plain,( 20.85/3.48 spl29_298 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14032,f459,f14085])). 20.85/3.48 tff(f14085,definition,( 20.85/3.48 spl29_298 <=> $sum(1,$sum(1,length2(tree,sF24))) = $sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_298])],[avatar_definition])). 20.85/3.48 tff(f14032,plain,( 20.85/3.48 $sum(1,$sum(1,length2(tree,sF24))) = $sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3033,f3552])). 20.85/3.48 tff(f14081,plain,( 20.85/3.48 spl29_297 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14036,f459,f14078])). 20.85/3.48 tff(f14078,definition,( 20.85/3.48 spl29_297 <=> $sum(1,length2(tree,sF24)) = $sum($sum(1,length2(tree,sF23)),length2(tree,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_297])],[avatar_definition])). 20.85/3.48 tff(f14036,plain,( 20.85/3.48 $sum(1,length2(tree,sF24)) = $sum($sum(1,length2(tree,sF23)),length2(tree,sF22)) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f351,f3552])). 20.85/3.48 tff(f14074,plain,( 20.85/3.48 ~spl29_296 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f14048,f459,f14071])). 20.85/3.48 tff(f14071,definition,( 20.85/3.48 spl29_296 <=> 0 = $sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_296])],[avatar_definition])). 20.85/3.48 tff(f14048,plain,( 20.85/3.48 0 != $sum(1,$sum(1,$sum($sum(1,length2(tree,sF23)),length2(tree,sF22)))) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f1931,f3552])). 20.85/3.48 tff(f1931,plain,( 20.85/3.48 ( ! [X0 : ty,X1 : uni] : (0 != $sum(1,$sum(1,length2(X0,X1)))) )), 20.85/3.48 inference(superposition,[],[f1196,f351])). 20.85/3.48 tff(f14016,plain,( 20.85/3.48 spl29_209 | ~spl29_295 | ~spl29_12 | spl29_289), 20.85/3.48 inference(avatar_split_clause,[],[f14000,f13793,f454,f14013,f9810])). 20.85/3.48 tff(f14000,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~mem(tree,sK19(sF21,tree),sF21) | ~$less(0,X0)) ) | (~spl29_12 | spl29_289)), 20.85/3.48 inference(superposition,[],[f13795,f2396])). 20.85/3.48 tff(f13939,plain,( 20.85/3.48 spl29_164 | spl29_294 | ~spl29_18 | spl29_163 | ~spl29_269), 20.85/3.48 inference(avatar_split_clause,[],[f13934,f13314,f5304,f484,f13936,f5314])). 20.85/3.48 tff(f13936,definition,( 20.85/3.48 spl29_294 <=> sK9 = sK12(tb2t2(sK19(sF21,tree)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_294])],[avatar_definition])). 20.85/3.48 tff(f13934,plain,( 20.85/3.48 sK9 = sK12(tb2t2(sK19(sF21,tree))) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | ~spl29_269)), 20.85/3.48 inference(subsumption_resolution,[],[f13929,f5305])). 20.85/3.48 tff(f13929,plain,( 20.85/3.48 nil(tree) = sF21 | sK9 = sK12(tb2t2(sK19(sF21,tree))) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | ~spl29_269)), 20.85/3.48 inference(subsumption_resolution,[],[f13885,f486])). 20.85/3.48 tff(f13885,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | ~distinct(tree,sF21) | nil(tree) = sF21 | sK9 = sK12(tb2t2(sK19(sF21,tree))) | ~spl29_269), 20.85/3.48 inference(superposition,[],[f13316,f1399])). 20.85/3.48 tff(f13883,plain,( 20.85/3.48 ~spl29_293 | ~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_232 | ~spl29_281 | spl29_284), 20.85/3.48 inference(avatar_split_clause,[],[f13878,f13503,f13443,f10244,f531,f454,f409,f13880])). 20.85/3.48 tff(f10244,definition,( 20.85/3.48 spl29_232 <=> empty1 = tb2t2(sK19(sF21,tree))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_232])],[avatar_definition])). 20.85/3.48 tff(f13443,definition,( 20.85/3.48 spl29_281 <=> node_proj_11(tb2t2(sK19(sF21,tree))) = sK9), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_281])],[avatar_definition])). 20.85/3.48 tff(f13503,definition,( 20.85/3.48 spl29_284 <=> mem(tree,sK19(sF21,tree),sF22)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_284])],[avatar_definition])). 20.85/3.48 tff(f13878,plain,( 20.85/3.48 ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | (~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_232 | ~spl29_281 | spl29_284)), 20.85/3.48 inference(subsumption_resolution,[],[f13877,f13505])). 20.85/3.48 tff(f13505,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF22) | spl29_284), 20.85/3.48 inference(avatar_component_clause,[],[f13503])). 20.85/3.48 tff(f13877,plain,( 20.85/3.48 mem(tree,sK19(sF21,tree),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | (~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_232 | ~spl29_281)), 20.85/3.48 inference(forward_demodulation,[],[f13876,f337])). 20.85/3.48 tff(f13876,plain,( 20.85/3.48 ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | mem(tree,t2tb2(tb2t2(sK19(sF21,tree))),sF22) | (~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_232 | ~spl29_281)), 20.85/3.48 inference(subsumption_resolution,[],[f13870,f532])). 20.85/3.48 tff(f13870,plain,( 20.85/3.48 ~mem(tree,sF25,sF20) | mem(tree,t2tb2(tb2t2(sK19(sF21,tree))),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | (~spl29_3 | ~spl29_12 | spl29_232 | ~spl29_281)), 20.85/3.48 inference(forward_demodulation,[],[f13864,f411])). 20.85/3.48 tff(f13864,plain,( 20.85/3.48 ~mem(tree,t2tb2(sK9),sF20) | mem(tree,t2tb2(tb2t2(sK19(sF21,tree))),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | (~spl29_12 | spl29_232 | ~spl29_281)), 20.85/3.48 inference(subsumption_resolution,[],[f13844,f10246])). 20.85/3.48 tff(f10246,plain,( 20.85/3.48 empty1 != tb2t2(sK19(sF21,tree)) | spl29_232), 20.85/3.48 inference(avatar_component_clause,[],[f10244])). 20.85/3.48 tff(f13844,plain,( 20.85/3.48 empty1 = tb2t2(sK19(sF21,tree)) | ~mem(tree,t2tb2(sK9),sF20) | ~all_trees1(size1(node_proj_21(tb2t2(sK19(sF21,tree)))),sK5) | mem(tree,t2tb2(tb2t2(sK19(sF21,tree))),sF22) | (~spl29_12 | ~spl29_281)), 20.85/3.48 inference(superposition,[],[f2042,f13445])). 20.85/3.48 tff(f13445,plain,( 20.85/3.48 node_proj_11(tb2t2(sK19(sF21,tree))) = sK9 | ~spl29_281), 20.85/3.48 inference(avatar_component_clause,[],[f13443])). 20.85/3.48 tff(f13875,plain,( 20.85/3.48 spl29_292 | spl29_232 | ~spl29_281), 20.85/3.48 inference(avatar_split_clause,[],[f13867,f13443,f10244,f13872])). 20.85/3.48 tff(f13872,definition,( 20.85/3.48 spl29_292 <=> tb2t2(sK19(sF21,tree)) = node1(sK9,node_proj_21(tb2t2(sK19(sF21,tree))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_292])],[avatar_definition])). 20.85/3.48 tff(f13867,plain,( 20.85/3.48 tb2t2(sK19(sF21,tree)) = node1(sK9,node_proj_21(tb2t2(sK19(sF21,tree)))) | (spl29_232 | ~spl29_281)), 20.85/3.48 inference(subsumption_resolution,[],[f13837,f10246])). 20.85/3.48 tff(f13837,plain,( 20.85/3.48 empty1 = tb2t2(sK19(sF21,tree)) | tb2t2(sK19(sF21,tree)) = node1(sK9,node_proj_21(tb2t2(sK19(sF21,tree)))) | ~spl29_281), 20.85/3.48 inference(superposition,[],[f310,f13445])). 20.85/3.48 tff(f13863,plain,( 20.85/3.48 spl29_291 | ~spl29_289 | ~spl29_281), 20.85/3.48 inference(avatar_split_clause,[],[f13839,f13443,f13793,f13859])). 20.85/3.48 tff(f13859,definition,( 20.85/3.48 spl29_291 <=> sK0(tb2t2(sK19(sF21,tree))) = sK9), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_291])],[avatar_definition])). 20.85/3.48 tff(f13839,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | sK0(tb2t2(sK19(sF21,tree))) = sK9 | ~spl29_281), 20.85/3.48 inference(superposition,[],[f999,f13445])). 20.85/3.48 tff(f13862,plain,( 20.85/3.48 spl29_291 | ~spl29_289 | ~spl29_281), 20.85/3.48 inference(avatar_split_clause,[],[f13831,f13443,f13793,f13859])). 20.85/3.48 tff(f13831,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | sK0(tb2t2(sK19(sF21,tree))) = sK9 | ~spl29_281), 20.85/3.48 inference(superposition,[],[f13445,f999])). 20.85/3.48 tff(f13856,plain,( 20.85/3.48 spl29_290 | ~spl29_289 | ~spl29_281), 20.85/3.48 inference(avatar_split_clause,[],[f13846,f13443,f13793,f13853])). 20.85/3.48 tff(f13853,definition,( 20.85/3.48 spl29_290 <=> node1(sK9,sK1(tb2t2(sK19(sF21,tree)))) = tb2t2(sK19(sF21,tree))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_290])],[avatar_definition])). 20.85/3.48 tff(f13846,plain,( 20.85/3.48 node1(sK9,sK1(tb2t2(sK19(sF21,tree)))) = tb2t2(sK19(sF21,tree)) | ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | ~spl29_281), 20.85/3.48 inference(superposition,[],[f2095,f13445])). 20.85/3.48 tff(f13796,plain,( 20.85/3.48 spl29_164 | ~spl29_289 | ~spl29_18 | spl29_163 | spl29_275), 20.85/3.48 inference(avatar_split_clause,[],[f13790,f13405,f5304,f484,f13793,f5314])). 20.85/3.48 tff(f13790,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | spl29_275)), 20.85/3.48 inference(subsumption_resolution,[],[f13788,f5305])). 20.85/3.48 tff(f13788,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | (~spl29_18 | spl29_275)), 20.85/3.48 inference(subsumption_resolution,[],[f13770,f486])). 20.85/3.48 tff(f13770,plain,( 20.85/3.48 ~distinct(tree,sF21) | ~$less(0,size1(tb2t2(sK19(sF21,tree)))) | distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | spl29_275), 20.85/3.48 inference(superposition,[],[f13407,f1399])). 20.85/3.48 tff(f13791,plain,( 20.85/3.48 spl29_209 | ~spl29_12 | ~spl29_270 | spl29_275), 20.85/3.48 inference(avatar_split_clause,[],[f13789,f13405,f13320,f454,f9810])). 20.85/3.48 tff(f13320,definition,( 20.85/3.48 spl29_270 <=> mem(tree,cons_proj_11(tree,sF21),sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_270])],[avatar_definition])). 20.85/3.48 tff(f13789,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less(0,X0)) ) | (~spl29_12 | ~spl29_270 | spl29_275)), 20.85/3.48 inference(subsumption_resolution,[],[f13775,f13322])). 20.85/3.48 tff(f13322,plain,( 20.85/3.48 mem(tree,cons_proj_11(tree,sF21),sF21) | ~spl29_270), 20.85/3.48 inference(avatar_component_clause,[],[f13320])). 20.85/3.48 tff(f13775,plain,( 20.85/3.48 ( ! [X0 : $int] : (~$less(0,X0) | ~all_trees1(X0,sK5) | ~mem(tree,cons_proj_11(tree,sF21),sF21)) ) | (~spl29_12 | spl29_275)), 20.85/3.48 inference(superposition,[],[f13407,f2396])). 20.85/3.48 tff(f13787,plain,( 20.85/3.48 spl29_209 | ~spl29_12 | spl29_163 | spl29_275), 20.85/3.48 inference(avatar_split_clause,[],[f13772,f13405,f5304,f454,f9810])). 20.85/3.48 tff(f13772,plain,( 20.85/3.48 ( ! [X0 : $int] : (~$less(0,X0) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163 | spl29_275)), 20.85/3.48 inference(superposition,[],[f13407,f13215])). 20.85/3.48 tff(f13768,plain,( 20.85/3.48 spl29_288 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f13762,f1192,f13765])). 20.85/3.48 tff(f13765,definition,( 20.85/3.48 spl29_288 <=> $sum(1,$sum(1,$sum(1,length2(tree,sF26)))) = $sum(1,$sum(2,length2(tree,sF26)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_288])],[avatar_definition])). 20.85/3.48 tff(f13762,plain,( 20.85/3.48 $sum(1,$sum(1,$sum(1,length2(tree,sF26)))) = $sum(1,$sum(2,length2(tree,sF26))) | ~spl29_54), 20.85/3.48 inference(forward_demodulation,[],[f13744,f2251])). 20.85/3.48 tff(f13744,plain,( 20.85/3.48 ( ! [X1 : uni] : ($sum(1,$sum(2,length2(tree,cons(tree,X1,sF20)))) = $sum(1,$sum(1,$sum(1,length2(tree,sF26))))) ) | ~spl29_54), 20.85/3.48 inference(forward_demodulation,[],[f13618,f3603])). 20.85/3.48 tff(f13618,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : uni] : ($sum(1,$sum(1,$sum(1,length2(tree,sF26)))) = $sum(1,length2(tree,cons(tree,X2,cons(tree,X0,cons(tree,X1,sF20)))))) ) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f3033,f3042])). 20.85/3.48 tff(f13757,plain,( 20.85/3.48 spl29_287 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f13715,f1192,f13754])). 20.85/3.48 tff(f13754,definition,( 20.85/3.48 spl29_287 <=> $sum(1,$sum(1,length2(tree,sF26))) = $sum(1,$sum(2,length2(tree,sF20)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_287])],[avatar_definition])). 20.85/3.48 tff(f13715,plain,( 20.85/3.48 $sum(1,$sum(1,length2(tree,sF26))) = $sum(1,$sum(2,length2(tree,sF20))) | ~spl29_54), 20.85/3.48 inference(forward_demodulation,[],[f13617,f3603])). 20.85/3.48 tff(f13617,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : uni] : ($sum(1,length2(tree,cons(tree,X1,cons(tree,X0,sF20)))) = $sum(1,$sum(1,length2(tree,sF26)))) ) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f3033,f2251])). 20.85/3.48 tff(f13603,plain,( 20.85/3.48 ~spl29_286 | ~spl29_13 | spl29_285), 20.85/3.48 inference(avatar_split_clause,[],[f13602,f13547,f459,f13593])). 20.85/3.48 tff(f13593,definition,( 20.85/3.48 spl29_286 <=> mem(tree,sK19(sF21,tree),sF23)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_286])],[avatar_definition])). 20.85/3.48 tff(f13547,definition,( 20.85/3.48 spl29_285 <=> mem(tree,sK19(sF21,tree),sF24)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_285])],[avatar_definition])). 20.85/3.48 tff(f13602,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF23) | (~spl29_13 | spl29_285)), 20.85/3.48 inference(resolution,[],[f13549,f1008])). 20.85/3.48 tff(f13549,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF24) | spl29_285), 20.85/3.48 inference(avatar_component_clause,[],[f13547])). 20.85/3.48 tff(f13600,plain,( 20.85/3.48 ~spl29_286 | ~spl29_25 | spl29_284), 20.85/3.48 inference(avatar_split_clause,[],[f13598,f13503,f522,f13593])). 20.85/3.48 tff(f13598,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF23) | (~spl29_25 | spl29_284)), 20.85/3.48 inference(resolution,[],[f13505,f1870])). 20.85/3.48 tff(f13599,plain,( 20.85/3.48 ~spl29_285 | ~spl29_13 | ~spl29_25 | spl29_284), 20.85/3.48 inference(avatar_split_clause,[],[f13597,f13503,f522,f459,f13547])). 20.85/3.48 tff(f13597,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF24) | (~spl29_13 | ~spl29_25 | spl29_284)), 20.85/3.48 inference(resolution,[],[f13505,f2571])). 20.85/3.48 tff(f13596,plain,( 20.85/3.48 spl29_164 | ~spl29_286 | ~spl29_18 | spl29_163 | spl29_283), 20.85/3.48 inference(avatar_split_clause,[],[f13591,f13497,f5304,f484,f13593,f5314])). 20.85/3.48 tff(f13591,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF23) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | spl29_283)), 20.85/3.48 inference(subsumption_resolution,[],[f13590,f5305])). 20.85/3.48 tff(f13590,plain,( 20.85/3.48 nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | ~mem(tree,sK19(sF21,tree),sF23) | (~spl29_18 | spl29_283)), 20.85/3.48 inference(subsumption_resolution,[],[f13588,f486])). 20.85/3.48 tff(f13588,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF23) | ~distinct(tree,sF21) | nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | spl29_283), 20.85/3.48 inference(superposition,[],[f13499,f1399])). 20.85/3.48 tff(f13550,plain,( 20.85/3.48 ~spl29_285 | spl29_164 | ~spl29_18 | spl29_163 | spl29_273), 20.85/3.48 inference(avatar_split_clause,[],[f13545,f13392,f5304,f484,f5314,f13547])). 20.85/3.48 tff(f13545,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF24) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | spl29_273)), 20.85/3.48 inference(subsumption_resolution,[],[f13543,f5305])). 20.85/3.48 tff(f13543,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF24) | distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | (~spl29_18 | spl29_273)), 20.85/3.48 inference(subsumption_resolution,[],[f13541,f486])). 20.85/3.48 tff(f13541,plain,( 20.85/3.48 ~distinct(tree,sF21) | distinct(tree,sK17(sF21,tree)) | ~mem(tree,sK19(sF21,tree),sF24) | nil(tree) = sF21 | spl29_273), 20.85/3.48 inference(superposition,[],[f13394,f1399])). 20.85/3.48 tff(f13544,plain,( 20.85/3.48 ~spl29_283 | ~spl29_13 | spl29_273), 20.85/3.48 inference(avatar_split_clause,[],[f13539,f13392,f459,f13497])). 20.85/3.48 tff(f13539,plain,( 20.85/3.48 ~mem(tree,cons_proj_11(tree,sF21),sF23) | (~spl29_13 | spl29_273)), 20.85/3.48 inference(resolution,[],[f13394,f1008])). 20.85/3.48 tff(f13506,plain,( 20.85/3.48 spl29_164 | ~spl29_284 | ~spl29_18 | spl29_163 | spl29_274), 20.85/3.48 inference(avatar_split_clause,[],[f13501,f13400,f5304,f484,f13503,f5314])). 20.85/3.48 tff(f13501,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | ~mem(tree,sK19(sF21,tree),sF22) | (~spl29_18 | spl29_163 | spl29_274)), 20.85/3.48 inference(subsumption_resolution,[],[f13495,f486])). 20.85/3.48 tff(f13495,plain,( 20.85/3.48 ~mem(tree,sK19(sF21,tree),sF22) | distinct(tree,sK17(sF21,tree)) | ~distinct(tree,sF21) | (spl29_163 | spl29_274)), 20.85/3.48 inference(subsumption_resolution,[],[f13492,f5305])). 20.85/3.48 tff(f13492,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | ~mem(tree,sK19(sF21,tree),sF22) | nil(tree) = sF21 | ~distinct(tree,sF21) | spl29_274), 20.85/3.48 inference(superposition,[],[f13402,f1399])). 20.85/3.48 tff(f13500,plain,( 20.85/3.48 ~spl29_283 | ~spl29_25 | spl29_274), 20.85/3.48 inference(avatar_split_clause,[],[f13490,f13400,f522,f13497])). 20.85/3.48 tff(f13490,plain,( 20.85/3.48 ~mem(tree,cons_proj_11(tree,sF21),sF23) | (~spl29_25 | spl29_274)), 20.85/3.48 inference(resolution,[],[f13402,f1870])). 20.85/3.48 tff(f13494,plain,( 20.85/3.48 ~spl29_273 | ~spl29_13 | ~spl29_25 | spl29_274), 20.85/3.48 inference(avatar_split_clause,[],[f13489,f13400,f522,f459,f13392])). 20.85/3.48 tff(f13489,plain,( 20.85/3.48 ~mem(tree,cons_proj_11(tree,sF21),sF24) | (~spl29_13 | ~spl29_25 | spl29_274)), 20.85/3.48 inference(resolution,[],[f13402,f2571])). 20.85/3.48 tff(f13453,plain,( 20.85/3.48 spl29_274 | ~spl29_282 | ~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_231 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13448,f13304,f10238,f531,f454,f409,f13450,f13400])). 20.85/3.48 tff(f10238,definition,( 20.85/3.48 spl29_231 <=> empty1 = tb2t2(cons_proj_11(tree,sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_231])],[avatar_definition])). 20.85/3.48 tff(f13448,plain,( 20.85/3.48 mem(tree,cons_proj_11(tree,sF21),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5) | (~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_231 | ~spl29_267)), 20.85/3.48 inference(forward_demodulation,[],[f13447,f337])). 20.85/3.48 tff(f13447,plain,( 20.85/3.48 ~all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5) | mem(tree,t2tb2(tb2t2(cons_proj_11(tree,sF21))),sF22) | (~spl29_3 | ~spl29_12 | ~spl29_26 | spl29_231 | ~spl29_267)), 20.85/3.48 inference(subsumption_resolution,[],[f13436,f532])). 20.85/3.48 tff(f13436,plain,( 20.85/3.48 mem(tree,t2tb2(tb2t2(cons_proj_11(tree,sF21))),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5) | ~mem(tree,sF25,sF20) | (~spl29_3 | ~spl29_12 | spl29_231 | ~spl29_267)), 20.85/3.48 inference(forward_demodulation,[],[f13426,f411])). 20.85/3.48 tff(f13426,plain,( 20.85/3.48 ~mem(tree,t2tb2(sK9),sF20) | mem(tree,t2tb2(tb2t2(cons_proj_11(tree,sF21))),sF22) | ~all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5) | (~spl29_12 | spl29_231 | ~spl29_267)), 20.85/3.48 inference(subsumption_resolution,[],[f13383,f10240])). 20.85/3.48 tff(f10240,plain,( 20.85/3.48 empty1 != tb2t2(cons_proj_11(tree,sF21)) | spl29_231), 20.85/3.48 inference(avatar_component_clause,[],[f10238])). 20.85/3.48 tff(f13383,plain,( 20.85/3.48 ~mem(tree,t2tb2(sK9),sF20) | empty1 = tb2t2(cons_proj_11(tree,sF21)) | ~all_trees1(size1(node_proj_21(tb2t2(cons_proj_11(tree,sF21)))),sK5) | mem(tree,t2tb2(tb2t2(cons_proj_11(tree,sF21))),sF22) | (~spl29_12 | ~spl29_267)), 20.85/3.48 inference(superposition,[],[f2042,f13306])). 20.85/3.48 tff(f13446,plain,( 20.85/3.48 spl29_281 | spl29_164 | ~spl29_18 | spl29_163 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13430,f13304,f5304,f484,f5314,f13443])). 20.85/3.48 tff(f13430,plain,( 20.85/3.48 node_proj_11(tb2t2(sK19(sF21,tree))) = sK9 | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | ~spl29_267)), 20.85/3.48 inference(subsumption_resolution,[],[f13397,f486])). 20.85/3.48 tff(f13397,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | node_proj_11(tb2t2(sK19(sF21,tree))) = sK9 | ~distinct(tree,sF21) | (spl29_163 | ~spl29_267)), 20.85/3.48 inference(subsumption_resolution,[],[f13364,f5305])). 20.85/3.48 tff(f13364,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | node_proj_11(tb2t2(sK19(sF21,tree))) = sK9 | nil(tree) = sF21 | ~distinct(tree,sF21) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f13306,f1399])). 20.85/3.48 tff(f13441,plain,( 20.85/3.48 ~spl29_274 | spl29_277 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13428,f13304,f13414,f13400])). 20.85/3.48 tff(f13414,definition,( 20.85/3.48 spl29_277 <=> tb2t2(cons_proj_11(tree,sF21)) = node1(sK9,sK11(tb2t2(cons_proj_11(tree,sF21))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_277])],[avatar_definition])). 20.85/3.48 tff(f13428,plain,( 20.85/3.48 tb2t2(cons_proj_11(tree,sF21)) = node1(sK9,sK11(tb2t2(cons_proj_11(tree,sF21)))) | ~mem(tree,cons_proj_11(tree,sF21),sF22) | ~spl29_267), 20.85/3.48 inference(forward_demodulation,[],[f13379,f337])). 20.85/3.48 tff(f13379,plain,( 20.85/3.48 tb2t2(cons_proj_11(tree,sF21)) = node1(sK9,sK11(tb2t2(cons_proj_11(tree,sF21)))) | ~mem(tree,t2tb2(tb2t2(cons_proj_11(tree,sF21))),sF22) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f1025,f13306])). 20.85/3.48 tff(f1025,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(node_proj_11(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF22)) )), 20.85/3.48 inference(superposition,[],[f856,f320])). 20.85/3.48 tff(f856,plain,( 20.85/3.48 ( ! [X0 : uni] : (tb2t2(X0) = node1(node_proj_11(tb2t2(X0)),sK11(tb2t2(X0))) | ~mem(tree,X0,sF22)) )), 20.85/3.48 inference(subsumption_resolution,[],[f844,f661])). 20.85/3.48 tff(f844,plain,( 20.85/3.48 ( ! [X0 : uni] : (empty1 = tb2t2(X0) | tb2t2(X0) = node1(node_proj_11(tb2t2(X0)),sK11(tb2t2(X0))) | ~mem(tree,X0,sF22)) )), 20.85/3.48 inference(superposition,[],[f310,f685])). 20.85/3.48 tff(f685,plain,( 20.85/3.48 ( ! [X0 : uni] : (sK11(tb2t2(X0)) = node_proj_21(tb2t2(X0)) | ~mem(tree,X0,sF22)) )), 20.85/3.48 inference(superposition,[],[f667,f337])). 20.85/3.48 tff(f13440,plain,( 20.85/3.48 ~spl29_274 | spl29_280 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13427,f13304,f13438,f13400])). 20.85/3.48 tff(f13438,definition,( 20.85/3.48 spl29_280 <=> ! [X0 : tree1,X1 : tree1] : (size1(X0) = size1(sK9) | tb2t2(cons_proj_11(tree,sF21)) != node1(X0,X1))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_280])],[avatar_definition])). 20.85/3.48 tff(f13427,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,cons_proj_11(tree,sF21),sF22) | size1(X0) = size1(sK9) | tb2t2(cons_proj_11(tree,sF21)) != node1(X0,X1)) ) | ~spl29_267), 20.85/3.48 inference(forward_demodulation,[],[f13382,f337])). 20.85/3.48 tff(f13382,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (tb2t2(cons_proj_11(tree,sF21)) != node1(X0,X1) | ~mem(tree,t2tb2(tb2t2(cons_proj_11(tree,sF21))),sF22) | size1(X0) = size1(sK9)) ) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f1115,f13306])). 20.85/3.48 tff(f1115,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (size1(node_proj_11(X0)) = size1(X1) | ~mem(tree,t2tb2(X0),sF22) | node1(X1,X2) != X0) )), 20.85/3.48 inference(superposition,[],[f317,f1025])). 20.85/3.48 tff(f13435,plain,( 20.85/3.48 spl29_279 | spl29_231 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13418,f13304,f10238,f13432])). 20.85/3.48 tff(f13432,definition,( 20.85/3.48 spl29_279 <=> node1(sK9,node_proj_21(tb2t2(cons_proj_11(tree,sF21)))) = tb2t2(cons_proj_11(tree,sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_279])],[avatar_definition])). 20.85/3.48 tff(f13418,plain,( 20.85/3.48 node1(sK9,node_proj_21(tb2t2(cons_proj_11(tree,sF21)))) = tb2t2(cons_proj_11(tree,sF21)) | (spl29_231 | ~spl29_267)), 20.85/3.48 inference(subsumption_resolution,[],[f13376,f10240])). 20.85/3.48 tff(f13376,plain,( 20.85/3.48 node1(sK9,node_proj_21(tb2t2(cons_proj_11(tree,sF21)))) = tb2t2(cons_proj_11(tree,sF21)) | empty1 = tb2t2(cons_proj_11(tree,sF21)) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f310,f13306])). 20.85/3.48 tff(f13425,plain,( 20.85/3.48 ~spl29_275 | spl29_278 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13385,f13304,f13422,f13405])). 20.85/3.48 tff(f13422,definition,( 20.85/3.48 spl29_278 <=> tb2t2(cons_proj_11(tree,sF21)) = node1(sK9,sK1(tb2t2(cons_proj_11(tree,sF21))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_278])],[avatar_definition])). 20.85/3.48 tff(f13385,plain,( 20.85/3.48 tb2t2(cons_proj_11(tree,sF21)) = node1(sK9,sK1(tb2t2(cons_proj_11(tree,sF21)))) | ~$less(0,size1(tb2t2(cons_proj_11(tree,sF21)))) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f2095,f13306])). 20.85/3.48 tff(f13420,plain,( 20.85/3.48 spl29_276 | ~spl29_275 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13370,f13304,f13405,f13409])). 20.85/3.48 tff(f13409,definition,( 20.85/3.48 spl29_276 <=> sK9 = sK0(tb2t2(cons_proj_11(tree,sF21)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_276])],[avatar_definition])). 20.85/3.48 tff(f13370,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(cons_proj_11(tree,sF21)))) | sK9 = sK0(tb2t2(cons_proj_11(tree,sF21))) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f13306,f999])). 20.85/3.48 tff(f13419,plain,( 20.85/3.48 spl29_269 | ~spl29_274 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13368,f13304,f13400,f13314])). 20.85/3.48 tff(f13368,plain,( 20.85/3.48 sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | ~mem(tree,cons_proj_11(tree,sF21),sF22) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f13306,f694])). 20.85/3.48 tff(f694,plain,( 20.85/3.48 ( ! [X0 : uni] : (node_proj_11(tb2t2(X0)) = sK12(tb2t2(X0)) | ~mem(tree,X0,sF22)) )), 20.85/3.48 inference(superposition,[],[f671,f337])). 20.85/3.48 tff(f13417,plain,( 20.85/3.48 ~spl29_274 | spl29_277 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13373,f13304,f13414,f13400])). 20.85/3.48 tff(f13373,plain,( 20.85/3.48 ~mem(tree,cons_proj_11(tree,sF21),sF22) | tb2t2(cons_proj_11(tree,sF21)) = node1(sK9,sK11(tb2t2(cons_proj_11(tree,sF21)))) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f856,f13306])). 20.85/3.48 tff(f13412,plain,( 20.85/3.48 ~spl29_275 | spl29_276 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13378,f13304,f13409,f13405])). 20.85/3.48 tff(f13378,plain,( 20.85/3.48 ~$less(0,size1(tb2t2(cons_proj_11(tree,sF21)))) | sK9 = sK0(tb2t2(cons_proj_11(tree,sF21))) | ~spl29_267), 20.85/3.48 inference(superposition,[],[f999,f13306])). 20.85/3.48 tff(f13403,plain,( 20.85/3.48 ~spl29_274 | spl29_269 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13371,f13304,f13314,f13400])). 20.85/3.48 tff(f13371,plain,( 20.85/3.48 ~mem(tree,cons_proj_11(tree,sF21),sF22) | sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | ~spl29_267), 20.85/3.48 inference(superposition,[],[f694,f13306])). 20.85/3.48 tff(f13398,plain,( 20.85/3.48 ~spl29_273 | spl29_269 | ~spl29_13 | ~spl29_25 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13366,f13304,f522,f459,f13314,f13392])). 20.85/3.48 tff(f13366,plain,( 20.85/3.48 sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | ~mem(tree,cons_proj_11(tree,sF21),sF24) | (~spl29_13 | ~spl29_25 | ~spl29_267)), 20.85/3.48 inference(superposition,[],[f13306,f3752])). 20.85/3.48 tff(f3752,plain,( 20.85/3.48 ( ! [X0 : uni] : (node_proj_11(tb2t2(X0)) = sK12(tb2t2(X0)) | ~mem(tree,X0,sF24)) ) | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(superposition,[],[f2575,f337])). 20.85/3.48 tff(f2575,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF24) | node_proj_11(X0) = sK12(X0)) ) | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2571,f671])). 20.85/3.48 tff(f13395,plain,( 20.85/3.48 ~spl29_273 | spl29_269 | ~spl29_13 | ~spl29_25 | ~spl29_267), 20.85/3.48 inference(avatar_split_clause,[],[f13375,f13304,f522,f459,f13314,f13392])). 20.85/3.48 tff(f13375,plain,( 20.85/3.48 ~mem(tree,cons_proj_11(tree,sF21),sF24) | sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | (~spl29_13 | ~spl29_25 | ~spl29_267)), 20.85/3.48 inference(superposition,[],[f3752,f13306])). 20.85/3.48 tff(f13350,plain,( 20.85/3.48 ~spl29_6 | ~spl29_268), 20.85/3.48 inference(avatar_contradiction_clause,[],[f13349])). 20.85/3.48 tff(f13349,plain,( 20.85/3.48 $false | (~spl29_6 | ~spl29_268)), 20.85/3.48 inference(resolution,[],[f13309,f426])). 20.85/3.48 tff(f426,plain,( 20.85/3.48 all_trees1(sK6,sK5) | ~spl29_6), 20.85/3.48 inference(avatar_component_clause,[],[f424])). 20.85/3.48 tff(f424,definition,( 20.85/3.48 spl29_6 <=> all_trees1(sK6,sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_6])],[avatar_definition])). 20.85/3.48 tff(f13309,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5)) ) | ~spl29_268), 20.85/3.48 inference(avatar_component_clause,[],[f13308])). 20.85/3.48 tff(f13340,plain,( 20.85/3.48 spl29_164 | spl29_272 | ~spl29_12 | ~spl29_18 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13336,f5304,f484,f454,f13338,f5314])). 20.85/3.48 tff(f13336,plain,( 20.85/3.48 ( ! [X0 : $int] : (size1(tb2t2(sK19(sF21,tree))) = X0 | ~all_trees1(X0,sK5) | distinct(tree,sK17(sF21,tree))) ) | (~spl29_12 | ~spl29_18 | spl29_163)), 20.85/3.48 inference(subsumption_resolution,[],[f13334,f486])). 20.85/3.48 tff(f13334,plain,( 20.85/3.48 ( ! [X0 : $int] : (distinct(tree,sK17(sF21,tree)) | ~all_trees1(X0,sK5) | size1(tb2t2(sK19(sF21,tree))) = X0 | ~distinct(tree,sF21)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(subsumption_resolution,[],[f13223,f5305])). 20.85/3.48 tff(f13223,plain,( 20.85/3.48 ( ! [X0 : $int] : (nil(tree) = sF21 | ~all_trees1(X0,sK5) | ~distinct(tree,sF21) | size1(tb2t2(sK19(sF21,tree))) = X0 | distinct(tree,sK17(sF21,tree))) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f13215,f1399])). 20.85/3.48 tff(f13335,plain,( 20.85/3.48 spl29_216 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13225,f5304,f454,f9838])). 20.85/3.48 tff(f13225,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : $int] : (X0 = X1 | ~all_trees1(X1,sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f13215,f13215])). 20.85/3.48 tff(f13332,plain,( 20.85/3.48 spl29_219 | ~spl29_10 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13273,f5304,f454,f444,f9853])). 20.85/3.48 tff(f13273,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less($sum(1,X0),0)) ) | (~spl29_10 | ~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f2186,f13215])). 20.85/3.48 tff(f13331,plain,( 20.85/3.48 ~spl29_270 | spl29_216 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13228,f5304,f454,f9838,f13320])). 20.85/3.48 tff(f13228,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : $int] : (X0 = X1 | ~all_trees1(X0,sK5) | ~mem(tree,cons_proj_11(tree,sF21),sF21) | ~all_trees1(X1,sK5)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f13215,f2396])). 20.85/3.48 tff(f13330,plain,( 20.85/3.48 spl29_268 | ~spl29_271 | ~spl29_12 | spl29_163 | ~spl29_240), 20.85/3.48 inference(avatar_split_clause,[],[f13301,f10590,f5304,f454,f13327,f13308])). 20.85/3.48 tff(f10590,definition,( 20.85/3.48 spl29_240 <=> ! [X1 : uni] : (empty1 != sK11(tb2t2(X1)) | ~mem(tree,X1,sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_240])],[avatar_definition])). 20.85/3.48 tff(f13301,plain,( 20.85/3.48 ( ! [X0 : $int] : (empty1 != sK11(tb2t2(cons_proj_11(tree,sF21))) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163 | ~spl29_240)), 20.85/3.48 inference(duplicate_literal_removal,[],[f13297])). 20.85/3.48 tff(f13297,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1(X0,sK5) | empty1 != sK11(tb2t2(cons_proj_11(tree,sF21)))) ) | (~spl29_12 | spl29_163 | ~spl29_240)), 20.85/3.48 inference(superposition,[],[f12508,f13215])). 20.85/3.48 tff(f12508,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK5) | empty1 != sK11(X0)) ) | (~spl29_12 | ~spl29_240)), 20.85/3.48 inference(resolution,[],[f12085,f976])). 20.85/3.48 tff(f12085,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | empty1 != sK11(X0)) ) | ~spl29_240), 20.85/3.48 inference(superposition,[],[f10591,f320])). 20.85/3.48 tff(f10591,plain,( 20.85/3.48 ( ! [X1 : uni] : (empty1 != sK11(tb2t2(X1)) | ~mem(tree,X1,sF21)) ) | ~spl29_240), 20.85/3.48 inference(avatar_component_clause,[],[f10590])). 20.85/3.48 tff(f13325,plain,( 20.85/3.48 spl29_251 | ~spl29_10 | ~spl29_12 | spl29_30 | spl29_163 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f13295,f9915,f5304,f557,f454,f444,f11157])). 20.85/3.48 tff(f13295,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,X0)),sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | spl29_163 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10986,f13215])). 20.85/3.48 tff(f13324,plain,( 20.85/3.48 ~spl29_270 | spl29_216 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13245,f5304,f454,f9838,f13320])). 20.85/3.48 tff(f13245,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : $int] : (X0 = X1 | ~mem(tree,cons_proj_11(tree,sF21),sF21) | ~all_trees1(X0,sK5) | ~all_trees1(X1,sK5)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f2396,f13215])). 20.85/3.48 tff(f13323,plain,( 20.85/3.48 spl29_270 | spl29_268 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13300,f5304,f454,f13308,f13320])). 20.85/3.48 tff(f13300,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | mem(tree,cons_proj_11(tree,sF21),sF21)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(duplicate_literal_removal,[],[f13242])). 20.85/3.48 tff(f13242,plain,( 20.85/3.48 ( ! [X0 : $int] : (mem(tree,cons_proj_11(tree,sF21),sF21) | ~all_trees1(X0,sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f2045,f13215])). 20.85/3.48 tff(f13318,plain,( 20.85/3.48 spl29_259 | ~spl29_10 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13282,f5304,f454,f444,f11577])). 20.85/3.48 tff(f13282,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : list_tree] : (~all_trees1(X2,X1) | ~all_trees1($sum(1,X0),X1) | ~all_trees1(X0,sK5) | $sum(1,X0) = X2) ) | (~spl29_10 | ~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f2353,f13215])). 20.85/3.48 tff(f13317,plain,( 20.85/3.48 spl29_269 | spl29_268 | ~spl29_12 | spl29_163 | ~spl29_222), 20.85/3.48 inference(avatar_split_clause,[],[f13299,f9875,f5304,f454,f13308,f13314])). 20.85/3.48 tff(f9875,definition,( 20.85/3.48 spl29_222 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | sK9 = sK12(tb2t2(X1)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_222])],[avatar_definition])). 20.85/3.48 tff(f13299,plain,( 20.85/3.48 ( ! [X0 : $int] : (sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163 | ~spl29_222)), 20.85/3.48 inference(duplicate_literal_removal,[],[f13296])). 20.85/3.48 tff(f13296,plain,( 20.85/3.48 ( ! [X0 : $int] : (sK12(tb2t2(cons_proj_11(tree,sF21))) = sK9 | ~all_trees1(X0,sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163 | ~spl29_222)), 20.85/3.48 inference(superposition,[],[f11628,f13215])). 20.85/3.48 tff(f11628,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK5) | sK9 = sK12(X0)) ) | (~spl29_12 | ~spl29_222)), 20.85/3.48 inference(resolution,[],[f11347,f976])). 20.85/3.48 tff(f11347,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | sK9 = sK12(X0)) ) | ~spl29_222), 20.85/3.48 inference(superposition,[],[f9876,f320])). 20.85/3.48 tff(f9876,plain,( 20.85/3.48 ( ! [X1 : uni] : (sK9 = sK12(tb2t2(X1)) | ~mem(tree,X1,sF21)) ) | ~spl29_222), 20.85/3.48 inference(avatar_component_clause,[],[f9875])). 20.85/3.48 tff(f13312,plain,( 20.85/3.48 spl29_217 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13259,f5304,f454,f9843])). 20.85/3.48 tff(f13259,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : list_tree] : (~all_trees1(X0,X1) | ~all_trees1(X0,sK5) | ~all_trees1(X2,X1) | X0 = X2) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f1225,f13215])). 20.85/3.48 tff(f13311,plain,( 20.85/3.48 spl29_210 | ~spl29_12 | spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f13251,f5304,f454,f9814])). 20.85/3.48 tff(f13251,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~$less(X0,0)) ) | (~spl29_12 | spl29_163)), 20.85/3.48 inference(superposition,[],[f333,f13215])). 20.85/3.48 tff(f13310,plain,( 20.85/3.48 spl29_267 | spl29_268 | ~spl29_12 | spl29_163 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f13298,f9915,f5304,f454,f13308,f13304])). 20.85/3.48 tff(f13298,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | sK9 = node_proj_11(tb2t2(cons_proj_11(tree,sF21)))) ) | (~spl29_12 | spl29_163 | ~spl29_229)), 20.85/3.48 inference(duplicate_literal_removal,[],[f13293])). 20.85/3.48 tff(f13293,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | sK9 = node_proj_11(tb2t2(cons_proj_11(tree,sF21))) | ~all_trees1(X0,sK5)) ) | (~spl29_12 | spl29_163 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10814,f13215])). 20.85/3.48 tff(f13221,plain,( 20.85/3.48 spl29_266 | spl29_115 | ~spl29_16 | ~spl29_32), 20.85/3.48 inference(avatar_split_clause,[],[f13214,f572,f474,f2332,f13219])). 20.85/3.48 tff(f13219,definition,( 20.85/3.48 spl29_266 <=> ! [X0 : $int] : (size1(tb2t2(cons_proj_11(tree,sF22))) = X0 | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_266])],[avatar_definition])). 20.85/3.48 tff(f474,definition,( 20.85/3.48 spl29_16 <=> sF22 = t2tb1(sK10)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_16])],[avatar_definition])). 20.85/3.48 tff(f572,definition,( 20.85/3.48 spl29_32 <=> tb2t1(sF22) = sK10), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_32])],[avatar_definition])). 20.85/3.48 tff(f13214,plain,( 20.85/3.48 ( ! [X0 : $int] : (nil(tree) = sF22 | size1(tb2t2(cons_proj_11(tree,sF22))) = X0 | ~all_trees1(X0,tb2t1(sF22))) ) | (~spl29_16 | ~spl29_32)), 20.85/3.48 inference(forward_demodulation,[],[f13132,f574])). 20.85/3.48 tff(f574,plain,( 20.85/3.48 tb2t1(sF22) = sK10 | ~spl29_32), 20.85/3.48 inference(avatar_component_clause,[],[f572])). 20.85/3.48 tff(f13132,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK10) | size1(tb2t2(cons_proj_11(tree,sF22))) = X0 | nil(tree) = sF22) ) | ~spl29_16), 20.85/3.48 inference(superposition,[],[f2694,f476])). 20.85/3.48 tff(f476,plain,( 20.85/3.48 sF22 = t2tb1(sK10) | ~spl29_16), 20.85/3.48 inference(avatar_component_clause,[],[f474])). 20.85/3.48 tff(f12970,plain,( 20.85/3.48 spl29_265 | ~spl29_20), 20.85/3.48 inference(avatar_split_clause,[],[f12956,f494,f12967])). 20.85/3.48 tff(f12967,definition,( 20.85/3.48 spl29_265 <=> $sum(1,$sum(length2(tree,sF20),1)) = $sum(length2(tree,sF26),1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_265])],[avatar_definition])). 20.85/3.48 tff(f12956,plain,( 20.85/3.48 $sum(1,$sum(length2(tree,sF20),1)) = $sum(length2(tree,sF26),1) | ~spl29_20), 20.85/3.48 inference(forward_demodulation,[],[f12948,f2236])). 20.85/3.48 tff(f2236,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (length2(X0,infix_plpl(X0,X1,cons(X0,X2,nil(X0)))) = $sum(length2(X0,X1),1)) )), 20.85/3.48 inference(superposition,[],[f360,f1190])). 20.85/3.48 tff(f12948,plain,( 20.85/3.48 ( ! [X0 : uni] : ($sum(1,$sum(length2(tree,sF20),1)) = length2(tree,infix_plpl(tree,sF26,cons(tree,X0,nil(tree))))) ) | ~spl29_20), 20.85/3.48 inference(superposition,[],[f2531,f2236])). 20.85/3.48 tff(f12264,plain,( 20.85/3.48 ~spl29_264 | ~spl29_253 | ~spl29_54 | ~spl29_247), 20.85/3.48 inference(avatar_split_clause,[],[f12254,f11028,f1192,f11251,f12261])). 20.85/3.48 tff(f11251,definition,( 20.85/3.48 spl29_253 <=> all_trees1(length2(tree,sF26),sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_253])],[avatar_definition])). 20.85/3.48 tff(f11028,definition,( 20.85/3.48 spl29_247 <=> ! [X0 : $int] : (~all_trees1($sum(1,X0),sK5) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_247])],[avatar_definition])). 20.85/3.48 tff(f12254,plain,( 20.85/3.48 ~all_trees1(length2(tree,sF26),sK5) | ~all_trees1(length2(tree,sF20),tb2t1(sF22)) | (~spl29_54 | ~spl29_247)), 20.85/3.48 inference(superposition,[],[f11029,f1194])). 20.85/3.48 tff(f11029,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,X0),sK5) | ~all_trees1(X0,tb2t1(sF22))) ) | ~spl29_247), 20.85/3.48 inference(avatar_component_clause,[],[f11028])). 20.85/3.48 tff(f12082,plain,( 20.85/3.48 spl29_263 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f12072,f444,f12079])). 20.85/3.48 tff(f12079,definition,( 20.85/3.48 spl29_263 <=> $less(size1(sK0(node1(empty1,empty1))),1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_263])],[avatar_definition])). 20.85/3.48 tff(f12072,plain,( 20.85/3.48 $less(size1(sK0(node1(empty1,empty1))),1) | ~spl29_10), 20.85/3.48 inference(evaluation,[],[f12034])). 20.85/3.48 tff(f12034,plain,( 20.85/3.48 ~$less(0,$sum(1,0)) | $less(size1(sK0(node1(empty1,empty1))),$sum(1,0)) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2183,f446])). 20.85/3.48 tff(f2183,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($less(size1(sK0(node1(X0,empty1))),$sum(1,size1(X0))) | ~$less(0,$sum(1,size1(X0)))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f248,f1092])). 20.85/3.48 tff(f248,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($less(size1(sK0(X0)),size1(X0)) | ~$less(0,size1(X0))) )), 20.85/3.48 inference(cnf_transformation,[],[f181])). 20.85/3.48 tff(f11980,plain,( 20.85/3.48 spl29_262 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f11923,f1192,f11977])). 20.85/3.48 tff(f11923,plain,( 20.85/3.48 $sum(1,length2(tree,sF26)) = $sum(2,length2(tree,sF20)) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f3603,f3042])). 20.85/3.48 tff(f11739,plain,( 20.85/3.48 ~spl29_261 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f11713,f1192,f11736])). 20.85/3.48 tff(f11736,definition,( 20.85/3.48 spl29_261 <=> 0 = $sum(1,$sum(1,$sum(1,$sum(1,length2(tree,sF26)))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_261])],[avatar_definition])). 20.85/3.48 tff(f11713,plain,( 20.85/3.48 0 != $sum(1,$sum(1,$sum(1,$sum(1,length2(tree,sF26))))) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f3053,f3042])). 20.85/3.48 tff(f11734,plain,( 20.85/3.48 ~spl29_260 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f11712,f1192,f11731])). 20.85/3.48 tff(f11731,definition,( 20.85/3.48 spl29_260 <=> $less($sum(1,$sum(1,$sum(1,$sum(1,length2(tree,sF26))))),0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_260])],[avatar_definition])). 20.85/3.48 tff(f11712,plain,( 20.85/3.48 ~$less($sum(1,$sum(1,$sum(1,$sum(1,length2(tree,sF26))))),0) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f3052,f3042])). 20.85/3.48 tff(f11580,plain,( 20.85/3.48 spl29_258 | spl29_114 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f11563,f444,f2320,f11572])). 20.85/3.48 tff(f11572,definition,( 20.85/3.48 spl29_258 <=> ! [X2 : $int,X1 : list_tree] : (~all_trees1(1,X1) | 1 = X2 | ~all_trees1(X2,X1))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_258])],[avatar_definition])). 20.85/3.48 tff(f11563,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : uni,X1 : list_tree] : (~all_trees1(1,X1) | ~mem(tree,X0,sF22) | 1 = X2 | ~all_trees1(X2,X1) | node1(empty1,X3) != tb2t2(X0)) ) | ~spl29_10), 20.85/3.48 inference(evaluation,[],[f11558])). 20.85/3.48 tff(f11558,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : uni,X1 : list_tree] : ($sum(1,0) = X2 | node1(empty1,X3) != tb2t2(X0) | ~all_trees1($sum(1,0),X1) | ~all_trees1(X2,X1) | ~mem(tree,X0,sF22)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2353,f1504])). 20.85/3.48 tff(f11579,plain,( 20.85/3.48 spl29_259 | spl29_207 | ~spl29_10 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f11540,f454,f444,f9802,f11577])). 20.85/3.48 tff(f11540,plain,( 20.85/3.48 ( ! [X2 : list_tree,X3 : $int,X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | $sum(1,X0) = X3 | ~all_trees1(X0,sK5) | ~all_trees1($sum(1,X0),X2) | ~all_trees1(X3,X2)) ) | (~spl29_10 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2353,f2396])). 20.85/3.48 tff(f11575,plain,( 20.85/3.48 spl29_258 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f11562,f444,f11572])). 20.85/3.48 tff(f11562,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(X1,X0) | 1 = X1 | ~all_trees1(1,X0)) ) | ~spl29_10), 20.85/3.48 inference(evaluation,[],[f11524])). 20.85/3.48 tff(f11524,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(X1,X0) | $sum(1,0) = X1 | ~all_trees1($sum(1,0),X0)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2353,f446])). 20.85/3.48 tff(f11574,plain,( 20.85/3.48 spl29_257 | spl29_258 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f11561,f444,f11572,f11569])). 20.85/3.48 tff(f11561,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : tree1,X1 : list_tree] : (~$less(0,size1(X0)) | ~all_trees1(1,X1) | ~all_trees1(X2,X1) | 1 = X2 | node1(empty1,X3) != X0) ) | ~spl29_10), 20.85/3.48 inference(evaluation,[],[f11541])). 20.85/3.48 tff(f11541,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : tree1,X1 : list_tree] : (~all_trees1($sum(1,0),X1) | ~all_trees1(X2,X1) | node1(empty1,X3) != X0 | ~$less(0,size1(X0)) | $sum(1,0) = X2) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2353,f2923])). 20.85/3.48 tff(f11567,plain,( 20.85/3.48 spl29_155 | spl29_256 | spl29_171 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f11527,f444,f6246,f11565,f5218])). 20.85/3.48 tff(f11565,definition,( 20.85/3.48 spl29_256 <=> ! [X4 : $int,X0 : $int,X3 : list_tree] : (~all_trees1($sum(1,X0),X3) | $sum(1,X0) = X4 | ~all_trees1(X0,tb2t1(sF22)) | ~all_trees1(X4,X3))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_256])],[avatar_definition])). 20.85/3.48 tff(f11527,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : list_tree,X0 : $int,X1 : tree1,X4 : $int] : (~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X1),sF20) | ~all_trees1($sum(1,X0),X3) | ~all_trees1(X4,X3) | ~all_trees1(X0,tb2t1(sF22)) | $sum(1,X0) = X4) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2353,f2719])). 20.85/3.48 tff(f11479,plain,( 20.85/3.48 spl29_255 | spl29_118 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f11437,f459,f2345,f11477])). 20.85/3.48 tff(f11477,definition,( 20.85/3.48 spl29_255 <=> ! [X0 : uni] : cons_proj_11(tree,sF23) = cons_proj_11(tree,infix_plpl(tree,sF24,X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_255])],[avatar_definition])). 20.85/3.48 tff(f11437,plain,( 20.85/3.48 ( ! [X0 : uni] : (cons_proj_11(tree,sF23) = cons_proj_11(tree,infix_plpl(tree,sF24,X0)) | nil(tree) = sF23) ) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3671,f1279])). 20.85/3.48 tff(f3671,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons_proj_11(X0,X1) = cons_proj_11(X0,infix_plpl(X0,X1,X2)) | nil(X0) = X1) )), 20.85/3.48 inference(subsumption_resolution,[],[f3648,f279])). 20.85/3.48 tff(f3648,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (nil(X0) = X1 | cons_proj_11(X0,X1) = cons_proj_11(X0,infix_plpl(X0,X1,X2)) | ~sort1(X0,cons_proj_11(X0,X1))) )), 20.85/3.48 inference(superposition,[],[f308,f1267])). 20.85/3.48 tff(f11472,plain,( 20.85/3.48 spl29_118 | spl29_254 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f11436,f459,f11469,f2345])). 20.85/3.48 tff(f11469,definition,( 20.85/3.48 spl29_254 <=> cons_proj_11(tree,sF24) = cons_proj_11(tree,sF23)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_254])],[avatar_definition])). 20.85/3.48 tff(f11436,plain,( 20.85/3.48 cons_proj_11(tree,sF24) = cons_proj_11(tree,sF23) | nil(tree) = sF23 | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3671,f461])). 20.85/3.48 tff(f11428,plain,( 20.85/3.48 spl29_239 | ~spl29_25 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f11425,f9798,f522,f10586])). 20.85/3.48 tff(f10586,definition,( 20.85/3.48 spl29_239 <=> ! [X1 : uni] : (empty1 != sK11(tb2t2(X1)) | ~mem(tree,X1,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_239])],[avatar_definition])). 20.85/3.48 tff(f11425,plain,( 20.85/3.48 ( ! [X0 : uni] : (empty1 != sK11(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | (~spl29_25 | ~spl29_206)), 20.85/3.48 inference(superposition,[],[f10767,f337])). 20.85/3.48 tff(f10767,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | empty1 != sK11(X0)) ) | (~spl29_25 | ~spl29_206)), 20.85/3.48 inference(resolution,[],[f10229,f523])). 20.85/3.48 tff(f10229,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF22) | empty1 != sK11(X0)) ) | ~spl29_206), 20.85/3.48 inference(forward_demodulation,[],[f10206,f320])). 20.85/3.48 tff(f10206,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 != tb2t2(t2tb2(sK11(X0))) | ~mem(tree,t2tb2(X0),sF22)) ) | ~spl29_206), 20.85/3.48 inference(resolution,[],[f9799,f382])). 20.85/3.48 tff(f382,plain,( 20.85/3.48 ( ! [X8 : tree1] : (mem(tree,t2tb2(sK11(X8)),sF21) | ~mem(tree,t2tb2(X8),sF22)) )), 20.85/3.48 inference(definition_folding,[],[f295,f378,f376])). 20.85/3.48 tff(f295,plain,( 20.85/3.48 ( ! [X8 : tree1] : (mem(tree,t2tb2(sK11(X8)),t2tb1(sK5)) | ~mem(tree,t2tb2(X8),t2tb1(sK10))) )), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f11427,plain,( 20.85/3.48 spl29_238 | ~spl29_25 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f11420,f9798,f522,f10582])). 20.85/3.48 tff(f10582,definition,( 20.85/3.48 spl29_238 <=> ! [X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | empty1 != sK11(node1(sK9,X1)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_238])],[avatar_definition])). 20.85/3.48 tff(f11420,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | empty1 != sK11(node1(sK9,X0))) ) | (~spl29_25 | ~spl29_206)), 20.85/3.48 inference(resolution,[],[f10767,f390])). 20.85/3.48 tff(f390,plain,( 20.85/3.48 ( ! [X16 : tree1] : (mem(tree,t2tb2(node1(sK9,X16)),sF23) | ~mem(tree,t2tb2(X16),sF21)) )), 20.85/3.48 inference(definition_folding,[],[f371,f376,f384])). 20.85/3.48 tff(f371,plain,( 20.85/3.48 ( ! [X16 : tree1] : (mem(tree,t2tb2(node1(sK9,X16)),t2tb1(sK13)) | ~mem(tree,t2tb2(X16),t2tb1(sK5))) )), 20.85/3.48 inference(equality_resolution,[],[f289])). 20.85/3.48 tff(f289,plain,( 20.85/3.48 ( ! [X16 : tree1,X14 : tree1] : (mem(tree,t2tb2(X14),t2tb1(sK13)) | node1(sK9,X16) != X14 | ~mem(tree,t2tb2(X16),t2tb1(sK5))) )), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f11411,plain,( 20.85/3.48 spl29_239 | ~spl29_66 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f11410,f9798,f1739,f10586])). 20.85/3.48 tff(f11410,plain,( 20.85/3.48 ( ! [X0 : uni] : (empty1 != sK11(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | (~spl29_66 | ~spl29_206)), 20.85/3.48 inference(duplicate_literal_removal,[],[f11408])). 20.85/3.48 tff(f11408,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,X0,sF23) | empty1 != sK11(tb2t2(X0))) ) | (~spl29_66 | ~spl29_206)), 20.85/3.48 inference(superposition,[],[f10728,f3760])). 20.85/3.48 tff(f10728,plain,( 20.85/3.48 ( ! [X0 : uni] : (empty1 != sK14(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | ~spl29_206), 20.85/3.48 inference(superposition,[],[f10226,f337])). 20.85/3.48 tff(f10226,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | empty1 != sK14(X0)) ) | ~spl29_206), 20.85/3.48 inference(forward_demodulation,[],[f10208,f320])). 20.85/3.48 tff(f10208,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | empty1 != tb2t2(t2tb2(sK14(X0)))) ) | ~spl29_206), 20.85/3.48 inference(resolution,[],[f9799,f389])). 20.85/3.48 tff(f11254,plain,( 20.85/3.48 ~spl29_252 | ~spl29_253 | ~spl29_54 | ~spl29_246), 20.85/3.48 inference(avatar_split_clause,[],[f11242,f11024,f1192,f11251,f11247])). 20.85/3.48 tff(f11247,definition,( 20.85/3.48 spl29_252 <=> all_trees1(length2(tree,sF20),sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_252])],[avatar_definition])). 20.85/3.48 tff(f11024,definition,( 20.85/3.48 spl29_246 <=> ! [X0 : $int] : (~all_trees1($sum(1,X0),sK5) | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_246])],[avatar_definition])). 20.85/3.48 tff(f11242,plain,( 20.85/3.48 ~all_trees1(length2(tree,sF26),sK5) | ~all_trees1(length2(tree,sF20),sK5) | (~spl29_54 | ~spl29_246)), 20.85/3.48 inference(superposition,[],[f11025,f1194])). 20.85/3.48 tff(f11025,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,X0),sK5) | ~all_trees1(X0,sK5)) ) | ~spl29_246), 20.85/3.48 inference(avatar_component_clause,[],[f11024])). 20.85/3.48 tff(f11160,plain,( 20.85/3.48 ~spl29_250 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11146,f9915,f557,f454,f444,f11152])). 20.85/3.48 tff(f11152,definition,( 20.85/3.48 spl29_250 <=> all_trees1(2,sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_250])],[avatar_definition])). 20.85/3.48 tff(f11146,plain,( 20.85/3.48 ~all_trees1(2,sK5) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f11109])). 20.85/3.48 tff(f11109,plain,( 20.85/3.48 ~all_trees1($sum(1,$sum(1,0)),sK5) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10986,f446])). 20.85/3.48 tff(f11159,plain,( 20.85/3.48 spl29_251 | spl29_207 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11125,f9915,f557,f454,f444,f9802,f11157])). 20.85/3.48 tff(f11125,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | ~all_trees1($sum(1,$sum(1,X0)),sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10986,f2396])). 20.85/3.48 tff(f11155,plain,( 20.85/3.48 spl29_114 | ~spl29_250 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11145,f9915,f557,f454,f444,f11152,f2320])). 20.85/3.48 tff(f11145,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~all_trees1(2,sK5) | ~mem(tree,X0,sF22) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f11142])). 20.85/3.48 tff(f11142,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~all_trees1($sum(1,$sum(1,0)),sK5) | ~mem(tree,X0,sF22)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10986,f1504])). 20.85/3.48 tff(f11150,plain,( 20.85/3.48 spl29_249 | spl29_171 | spl29_155 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11112,f9915,f557,f454,f444,f5218,f6246,f11148])). 20.85/3.48 tff(f11112,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~all_trees1($sum(1,$sum(1,X0)),sK5) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X2),sF21)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10986,f2719])). 20.85/3.48 tff(f11036,plain,( 20.85/3.48 spl29_114 | ~spl29_248 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11022,f9915,f557,f454,f444,f11032,f2320])). 20.85/3.48 tff(f11032,definition,( 20.85/3.48 spl29_248 <=> all_trees1(1,sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_248])],[avatar_definition])). 20.85/3.48 tff(f11022,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~all_trees1(1,sK5) | ~mem(tree,X0,sF22) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f11018])). 20.85/3.48 tff(f11018,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~all_trees1($sum(1,0),sK5) | node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10919,f1504])). 20.85/3.48 tff(f11035,plain,( 20.85/3.48 ~spl29_248 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11021,f9915,f557,f454,f444,f11032])). 20.85/3.48 tff(f11021,plain,( 20.85/3.48 ~all_trees1(1,sK5) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(evaluation,[],[f10985])). 20.85/3.48 tff(f10985,plain,( 20.85/3.48 ~all_trees1($sum(1,0),sK5) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10919,f446])). 20.85/3.48 tff(f11030,plain,( 20.85/3.48 spl29_155 | spl29_171 | spl29_247 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f10988,f9915,f557,f454,f444,f11028,f6246,f5218])). 20.85/3.48 tff(f10988,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1($sum(1,X0),sK5) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10919,f2719])). 20.85/3.48 tff(f11026,plain,( 20.85/3.48 spl29_246 | spl29_207 | ~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f11001,f9915,f557,f454,f444,f9802,f11024])). 20.85/3.48 tff(f11001,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1($sum(1,X0),sK5) | ~all_trees1(X0,sK5)) ) | (~spl29_10 | ~spl29_12 | spl29_30 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10919,f2396])). 20.85/3.48 tff(f10918,plain,( 20.85/3.48 spl29_244 | spl29_155 | spl29_245 | ~spl29_12 | ~spl29_229), 20.85/3.48 inference(avatar_split_clause,[],[f10907,f9915,f454,f10916,f5218,f10913])). 20.85/3.48 tff(f10913,definition,( 20.85/3.48 spl29_244 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_244])],[avatar_definition])). 20.85/3.48 tff(f10916,definition,( 20.85/3.48 spl29_245 <=> ! [X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | sK9 = X1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_245])],[avatar_definition])). 20.85/3.48 tff(f10907,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~all_trees1(X0,sK5) | ~all_trees1(X0,tb2t1(sF22)) | sK9 = X1 | ~mem(tree,t2tb2(X2),sF21)) ) | (~spl29_12 | ~spl29_229)), 20.85/3.48 inference(forward_demodulation,[],[f10873,f275])). 20.85/3.48 tff(f10873,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,sK5) | node_proj_11(node1(X1,X2)) = sK9) ) | (~spl29_12 | ~spl29_229)), 20.85/3.48 inference(superposition,[],[f10814,f2719])). 20.85/3.48 tff(f10856,plain,( 20.85/3.48 spl29_118 | spl29_243 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f10830,f459,f10854,f2345])). 20.85/3.48 tff(f10854,definition,( 20.85/3.48 spl29_243 <=> ! [X0 : uni] : mem(tree,cons_proj_11(tree,sF23),infix_plpl(tree,sF24,X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_243])],[avatar_definition])). 20.85/3.48 tff(f10830,plain,( 20.85/3.48 ( ! [X0 : uni] : (nil(tree) = sF23 | mem(tree,cons_proj_11(tree,sF23),infix_plpl(tree,sF24,X0))) ) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3674,f1279])). 20.85/3.48 tff(f3674,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,cons_proj_11(X0,X1),infix_plpl(X0,X1,X2)) | nil(X0) = X1) )), 20.85/3.48 inference(subsumption_resolution,[],[f3654,f279])). 20.85/3.48 tff(f3654,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~sort1(X0,cons_proj_11(X0,X1)) | nil(X0) = X1 | mem(X0,cons_proj_11(X0,X1),infix_plpl(X0,X1,X2))) )), 20.85/3.48 inference(superposition,[],[f397,f1267])). 20.85/3.48 tff(f10850,plain,( 20.85/3.48 spl29_118 | spl29_242 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f10829,f459,f10847,f2345])). 20.85/3.48 tff(f10847,definition,( 20.85/3.48 spl29_242 <=> mem(tree,cons_proj_11(tree,sF23),sF24)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_242])],[avatar_definition])). 20.85/3.48 tff(f10829,plain,( 20.85/3.48 mem(tree,cons_proj_11(tree,sF23),sF24) | nil(tree) = sF23 | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3674,f461])). 20.85/3.48 tff(f10597,plain,( 20.85/3.48 spl29_154 | ~spl29_241 | ~spl29_1 | ~spl29_25 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f10565,f9798,f522,f399,f10594,f5163])). 20.85/3.48 tff(f5163,definition,( 20.85/3.48 spl29_154 <=> ! [X2 : tree1,X0 : tree1,X1 : tree1] : (node1(X0,X1) != X2 | ~all_trees1(size1(X0),sK13) | ~all_trees1(size1(X2),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_154])],[avatar_definition])). 20.85/3.48 tff(f10594,definition,( 20.85/3.48 spl29_241 <=> empty1 = sK11(sK9)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_241])],[avatar_definition])). 20.85/3.48 tff(f399,definition,( 20.85/3.48 spl29_1 <=> t2tb1(sK13) = sF23), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_1])],[avatar_definition])). 20.85/3.48 tff(f10565,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~all_trees1(size1(X0),sK13) | empty1 != sK11(sK9) | node1(X0,X1) != X2 | ~all_trees1(size1(X2),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(superposition,[],[f10221,f2054])). 20.85/3.48 tff(f2054,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (size1(sK9) = size1(X1) | node1(X1,X2) != X0 | ~all_trees1(size1(X0),sK13)) ) | ~spl29_1), 20.85/3.48 inference(resolution,[],[f981,f1117])). 20.85/3.48 tff(f1117,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(X1,X2) != X0 | size1(sK9) = size1(X1)) )), 20.85/3.48 inference(superposition,[],[f317,f388])). 20.85/3.48 tff(f981,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF23) | ~all_trees1(size1(X0),sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f372,f401])). 20.85/3.48 tff(f401,plain,( 20.85/3.48 t2tb1(sK13) = sF23 | ~spl29_1), 20.85/3.48 inference(avatar_component_clause,[],[f399])). 20.85/3.48 tff(f10221,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | empty1 != sK11(X0)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(forward_demodulation,[],[f10205,f320])). 20.85/3.48 tff(f10205,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 != tb2t2(t2tb2(sK11(X0))) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(resolution,[],[f9799,f3693])). 20.85/3.48 tff(f3693,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(sK11(X0)),sF21) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(subsumption_resolution,[],[f3686,f981])). 20.85/3.48 tff(f3686,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~all_trees1(size1(X0),sK13) | mem(tree,t2tb2(sK11(X0)),sF21)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(superposition,[],[f389,f3448])). 20.85/3.48 tff(f3448,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK14(X0) = sK11(X0) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(duplicate_literal_removal,[],[f3447])). 20.85/3.48 tff(f3447,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | ~all_trees1(size1(X0),sK13) | sK14(X0) = sK11(X0)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(superposition,[],[f2052,f2058])). 20.85/3.48 tff(f2058,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node_proj_21(X0) = sK11(X0) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f981,f1865])). 20.85/3.48 tff(f1865,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node_proj_21(X0) = sK11(X0)) ) | ~spl29_25), 20.85/3.48 inference(resolution,[],[f523,f667])). 20.85/3.48 tff(f2052,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node_proj_21(X0) = sK14(X0) | ~all_trees1(size1(X0),sK13)) ) | ~spl29_1), 20.85/3.48 inference(resolution,[],[f981,f666])). 20.85/3.48 tff(f666,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node_proj_21(X0) = sK14(X0)) )), 20.85/3.48 inference(superposition,[],[f266,f388])). 20.85/3.48 tff(f10592,plain,( 20.85/3.48 spl29_240 | spl29_204 | ~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f10561,f9798,f522,f454,f399,f9791,f10590])). 20.85/3.48 tff(f9791,definition,( 20.85/3.48 spl29_204 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1(X0,sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_204])],[avatar_definition])). 20.85/3.48 tff(f10561,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK5) | empty1 != sK11(tb2t2(X1)) | ~mem(tree,X1,sF21) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(superposition,[],[f10221,f2396])). 20.85/3.48 tff(f10588,plain,( 20.85/3.48 spl29_239 | spl29_192 | ~spl29_1 | ~spl29_25 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f10580,f9798,f522,f399,f8524,f10586])). 20.85/3.48 tff(f8524,definition,( 20.85/3.48 spl29_192 <=> ! [X0 : $int] : ~all_trees1(X0,sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_192])],[avatar_definition])). 20.85/3.48 tff(f10580,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (empty1 != sK11(tb2t2(X1)) | ~all_trees1(X0,sK13) | ~mem(tree,X1,sF23)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(duplicate_literal_removal,[],[f10560])). 20.85/3.48 tff(f10560,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (empty1 != sK11(tb2t2(X1)) | ~all_trees1(X0,sK13) | ~all_trees1(X0,sK13) | ~mem(tree,X1,sF23)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(superposition,[],[f10221,f2490])). 20.85/3.48 tff(f2490,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : $int] : (size1(tb2t2(X0)) = X1 | ~all_trees1(X1,sK13) | ~mem(tree,X0,sF23)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f1234,f337])). 20.85/3.48 tff(f1234,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : $int] : (~mem(tree,t2tb2(X0),sF23) | ~all_trees1(X1,sK13) | size1(X0) = X1) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f331,f401])). 20.85/3.48 tff(f10584,plain,( 20.85/3.48 spl29_238 | spl29_192 | ~spl29_1 | ~spl29_25 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f10579,f9798,f522,f399,f8524,f10582])). 20.85/3.48 tff(f10579,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | empty1 != sK11(node1(sK9,X1)) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(duplicate_literal_removal,[],[f10552])). 20.85/3.48 tff(f10552,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | empty1 != sK11(node1(sK9,X1)) | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_206)), 20.85/3.48 inference(superposition,[],[f10221,f2487])). 20.85/3.48 tff(f2487,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (size1(node1(sK9,X1)) = X0 | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,sK13)) ) | ~spl29_1), 20.85/3.48 inference(resolution,[],[f1234,f390])). 20.85/3.48 tff(f10478,plain,( 20.85/3.48 spl29_98 | ~spl29_27 | spl29_120 | ~spl29_165), 20.85/3.48 inference(avatar_split_clause,[],[f10477,f5347,f2373,f536,f1995])). 20.85/3.48 tff(f1995,definition,( 20.85/3.48 spl29_98 <=> mem(tree,sF25,sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_98])],[avatar_definition])). 20.85/3.48 tff(f2373,definition,( 20.85/3.48 spl29_120 <=> t2tb2(empty1) = sF25), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_120])],[avatar_definition])). 20.85/3.48 tff(f5347,definition,( 20.85/3.48 spl29_165 <=> mem(tree,sF25,cons(tree,t2tb2(empty1),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_165])],[avatar_definition])). 20.85/3.48 tff(f10477,plain,( 20.85/3.48 mem(tree,sF25,sF21) | (~spl29_27 | spl29_120 | ~spl29_165)), 20.85/3.48 inference(subsumption_resolution,[],[f10476,f2374])). 20.85/3.48 tff(f2374,plain,( 20.85/3.48 t2tb2(empty1) != sF25 | spl29_120), 20.85/3.48 inference(avatar_component_clause,[],[f2373])). 20.85/3.48 tff(f10476,plain,( 20.85/3.48 t2tb2(empty1) = sF25 | mem(tree,sF25,sF21) | (~spl29_27 | ~spl29_165)), 20.85/3.48 inference(subsumption_resolution,[],[f10471,f538])). 20.85/3.48 tff(f10471,plain,( 20.85/3.48 ~sort1(tree,sF25) | mem(tree,sF25,sF21) | t2tb2(empty1) = sF25 | ~spl29_165), 20.85/3.48 inference(subsumption_resolution,[],[f10465,f335])). 20.85/3.48 tff(f10465,plain,( 20.85/3.48 ~sort1(tree,t2tb2(empty1)) | ~sort1(tree,sF25) | t2tb2(empty1) = sF25 | mem(tree,sF25,sF21) | ~spl29_165), 20.85/3.48 inference(resolution,[],[f5348,f357])). 20.85/3.48 tff(f5348,plain,( 20.85/3.48 mem(tree,sF25,cons(tree,t2tb2(empty1),sF21)) | ~spl29_165), 20.85/3.48 inference(avatar_component_clause,[],[f5347])). 20.85/3.48 tff(f10475,plain,( 20.85/3.48 spl29_226 | ~spl29_98 | ~spl29_3 | ~spl29_34), 20.85/3.48 inference(avatar_split_clause,[],[f10198,f582,f409,f1995,f9893])). 20.85/3.48 tff(f9893,definition,( 20.85/3.48 spl29_226 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | size1(sK9) = X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_226])],[avatar_definition])). 20.85/3.48 tff(f582,definition,( 20.85/3.48 spl29_34 <=> tb2t1(sF21) = sK5), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_34])],[avatar_definition])). 20.85/3.48 tff(f10198,plain,( 20.85/3.48 ( ! [X0 : $int] : (~mem(tree,sF25,sF21) | size1(sK9) = X0 | ~all_trees1(X0,sK5)) ) | (~spl29_3 | ~spl29_34)), 20.85/3.48 inference(superposition,[],[f2384,f584])). 20.85/3.48 tff(f584,plain,( 20.85/3.48 tb2t1(sF21) = sK5 | ~spl29_34), 20.85/3.48 inference(avatar_component_clause,[],[f582])). 20.85/3.48 tff(f2384,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : $int] : (~all_trees1(X1,tb2t1(X0)) | ~mem(tree,sF25,X0) | size1(sK9) = X1) ) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f1226,f318])). 20.85/3.48 tff(f1226,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~mem(tree,sF25,t2tb1(X0)) | size1(sK9) = X1 | ~all_trees1(X1,X0)) ) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f331,f411])). 20.85/3.48 tff(f10474,plain,( 20.85/3.48 spl29_226 | ~spl29_98 | ~spl29_3 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f2385,f454,f409,f1995,f9893])). 20.85/3.48 tff(f2385,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~mem(tree,sF25,sF21) | size1(sK9) = X0) ) | (~spl29_3 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f1226,f456])). 20.85/3.48 tff(f10473,plain,( 20.85/3.48 spl29_226 | ~spl29_98 | ~spl29_3 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f2395,f454,f409,f1995,f9893])). 20.85/3.48 tff(f2395,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~mem(tree,sF25,sF21) | size1(sK9) = X0) ) | (~spl29_3 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f1229,f411])). 20.85/3.48 tff(f10472,plain,( 20.85/3.48 ~spl29_98 | spl29_226 | ~spl29_12 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f9738,f651,f454,f9893,f1995])). 20.85/3.48 tff(f651,definition,( 20.85/3.48 spl29_45 <=> sK9 = tb2t2(sF25)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_45])],[avatar_definition])). 20.85/3.48 tff(f9738,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK5) | ~mem(tree,sF25,sF21) | size1(sK9) = X0) ) | (~spl29_12 | ~spl29_45)), 20.85/3.48 inference(superposition,[],[f2396,f653])). 20.85/3.48 tff(f653,plain,( 20.85/3.48 sK9 = tb2t2(sF25) | ~spl29_45), 20.85/3.48 inference(avatar_component_clause,[],[f651])). 20.85/3.48 tff(f10470,plain,( 20.85/3.48 ~spl29_27 | spl29_98 | spl29_120 | ~spl29_165), 20.85/3.48 inference(avatar_contradiction_clause,[],[f10469])). 20.85/3.48 tff(f10469,plain,( 20.85/3.48 $false | (~spl29_27 | spl29_98 | spl29_120 | ~spl29_165)), 20.85/3.48 inference(subsumption_resolution,[],[f10468,f538])). 20.85/3.48 tff(f10468,plain,( 20.85/3.48 ~sort1(tree,sF25) | (spl29_98 | spl29_120 | ~spl29_165)), 20.85/3.48 inference(subsumption_resolution,[],[f10467,f2374])). 20.85/3.48 tff(f10467,plain,( 20.85/3.48 t2tb2(empty1) = sF25 | ~sort1(tree,sF25) | (spl29_98 | ~spl29_165)), 20.85/3.48 inference(subsumption_resolution,[],[f10466,f335])). 20.85/3.48 tff(f10466,plain,( 20.85/3.48 ~sort1(tree,t2tb2(empty1)) | ~sort1(tree,sF25) | t2tb2(empty1) = sF25 | (spl29_98 | ~spl29_165)), 20.85/3.48 inference(subsumption_resolution,[],[f10465,f1997])). 20.85/3.48 tff(f1997,plain,( 20.85/3.48 ~mem(tree,sF25,sF21) | spl29_98), 20.85/3.48 inference(avatar_component_clause,[],[f1995])). 20.85/3.48 tff(f10431,plain,( 20.85/3.48 spl29_208 | spl29_207 | ~spl29_10 | ~spl29_12 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f10409,f2519,f454,f444,f9802,f9805])). 20.85/3.48 tff(f9805,definition,( 20.85/3.48 spl29_208 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1($sum(1,$sum(1,X0)),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_208])],[avatar_definition])). 20.85/3.48 tff(f2519,definition,( 20.85/3.48 spl29_136 <=> ! [X0 : tree1] : ~all_trees1($sum(1,size1(X0)),sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_136])],[avatar_definition])). 20.85/3.48 tff(f10409,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK5) | ~mem(tree,X1,sF21) | ~all_trees1($sum(1,$sum(1,X0)),sK13)) ) | (~spl29_10 | ~spl29_12 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f10159,f2396])). 20.85/3.48 tff(f10159,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,size1(X0))),sK13)) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f1092])). 20.85/3.48 tff(f2520,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK13)) ) | ~spl29_136), 20.85/3.48 inference(avatar_component_clause,[],[f2519])). 20.85/3.48 tff(f10328,plain,( 20.85/3.48 spl29_164 | ~spl29_232 | ~spl29_18 | spl29_163 | spl29_231), 20.85/3.48 inference(avatar_split_clause,[],[f10327,f10238,f5304,f484,f10244,f5314])). 20.85/3.48 tff(f10327,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | empty1 != tb2t2(sK19(sF21,tree)) | (~spl29_18 | spl29_163 | spl29_231)), 20.85/3.48 inference(subsumption_resolution,[],[f10326,f486])). 20.85/3.48 tff(f10326,plain,( 20.85/3.48 ~distinct(tree,sF21) | empty1 != tb2t2(sK19(sF21,tree)) | distinct(tree,sK17(sF21,tree)) | (spl29_163 | spl29_231)), 20.85/3.48 inference(subsumption_resolution,[],[f10324,f5305])). 20.85/3.48 tff(f10324,plain,( 20.85/3.48 empty1 != tb2t2(sK19(sF21,tree)) | nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | ~distinct(tree,sF21) | spl29_231), 20.85/3.48 inference(superposition,[],[f10240,f1399])). 20.85/3.48 tff(f10322,plain,( 20.85/3.48 spl29_237 | spl29_204 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f10265,f454,f399,f9791,f10320])). 20.85/3.48 tff(f10320,definition,( 20.85/3.48 spl29_237 <=> ! [X1 : uni] : (mem(tree,X1,sF21) | ~mem(tree,X1,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_237])],[avatar_definition])). 20.85/3.48 tff(f10265,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK13) | mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF23)) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2045,f2490])). 20.85/3.48 tff(f10318,plain,( 20.85/3.48 spl29_130 | spl29_233 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f10258,f399,f10302,f2462])). 20.85/3.48 tff(f2462,definition,( 20.85/3.48 spl29_130 <=> ! [X0 : $int] : (size1(sK9) = X0 | ~all_trees1(X0,sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_130])],[avatar_definition])). 20.85/3.48 tff(f10302,definition,( 20.85/3.48 spl29_233 <=> ! [X2 : tree1,X1 : uni,X3 : tree1] : (~mem(tree,X1,sF23) | node1(tb2t2(X1),X2) != X3 | ~all_trees1(size1(X3),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_233])],[avatar_definition])). 20.85/3.48 tff(f10258,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : uni,X1 : $int] : (~all_trees1(X1,sK13) | size1(sK9) = X1 | node1(tb2t2(X0),X2) != X3 | ~mem(tree,X0,sF23) | ~all_trees1(size1(X3),sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2490,f2054])). 20.85/3.48 tff(f10316,plain,( 20.85/3.48 spl29_162 | spl29_236 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f10280,f399,f10314,f5246])). 20.85/3.48 tff(f5246,definition,( 20.85/3.48 spl29_162 <=> ! [X2 : list_tree,X0 : $int,X3 : $int] : (X0 = X3 | ~all_trees1(X0,sK13) | ~all_trees1(X3,X2) | ~all_trees1(X0,X2))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_162])],[avatar_definition])). 20.85/3.48 tff(f10314,definition,( 20.85/3.48 spl29_236 <=> ! [X1 : uni] : ~mem(tree,X1,sF23)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_236])],[avatar_definition])). 20.85/3.48 tff(f10280,plain,( 20.85/3.48 ( ! [X2 : list_tree,X3 : $int,X0 : $int,X1 : uni] : (~all_trees1(X0,sK13) | ~all_trees1(X0,X2) | ~mem(tree,X1,sF23) | X0 = X3 | ~all_trees1(X3,X2)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f1225,f2490])). 20.85/3.48 tff(f10312,plain,( 20.85/3.48 spl29_234 | spl29_235 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f10251,f454,f399,f10309,f10306])). 20.85/3.48 tff(f10306,definition,( 20.85/3.48 spl29_234 <=> ! [X2 : $int,X0 : $int] : (~all_trees1(X2,sK5) | ~all_trees1(X0,sK13) | X0 = X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_234])],[avatar_definition])). 20.85/3.48 tff(f10309,definition,( 20.85/3.48 spl29_235 <=> ! [X1 : uni] : (~mem(tree,X1,sF23) | ~mem(tree,X1,sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_235])],[avatar_definition])). 20.85/3.48 tff(f10251,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : uni] : (~all_trees1(X2,sK13) | ~mem(tree,X1,sF23) | ~mem(tree,X1,sF21) | X0 = X2 | ~all_trees1(X0,sK5)) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2490,f2396])). 20.85/3.48 tff(f10311,plain,( 20.85/3.48 spl29_234 | spl29_235 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f10268,f454,f399,f10309,f10306])). 20.85/3.48 tff(f10268,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : uni] : (~all_trees1(X2,sK5) | ~mem(tree,X1,sF23) | ~all_trees1(X0,sK13) | ~mem(tree,X1,sF21) | X0 = X2) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2396,f2490])). 20.85/3.48 tff(f10304,plain,( 20.85/3.48 spl29_130 | spl29_233 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f10286,f399,f10302,f2462])). 20.85/3.48 tff(f10286,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : uni] : (~mem(tree,X1,sF23) | size1(sK9) = X0 | ~all_trees1(size1(X3),sK13) | node1(tb2t2(X1),X2) != X3 | ~all_trees1(X0,sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2054,f2490])). 20.85/3.48 tff(f10247,plain,( 20.85/3.48 ~spl29_232 | spl29_164 | ~spl29_18 | spl29_163 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f10236,f9798,f5304,f484,f5314,f10244])). 20.85/3.48 tff(f10236,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | empty1 != tb2t2(sK19(sF21,tree)) | (~spl29_18 | spl29_163 | ~spl29_206)), 20.85/3.48 inference(subsumption_resolution,[],[f10225,f5305])). 20.85/3.48 tff(f10225,plain,( 20.85/3.48 nil(tree) = sF21 | empty1 != tb2t2(sK19(sF21,tree)) | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | ~spl29_206)), 20.85/3.48 inference(subsumption_resolution,[],[f10219,f486])). 20.85/3.48 tff(f10219,plain,( 20.85/3.48 empty1 != tb2t2(sK19(sF21,tree)) | distinct(tree,sK17(sF21,tree)) | ~distinct(tree,sF21) | nil(tree) = sF21 | ~spl29_206), 20.85/3.48 inference(resolution,[],[f9799,f1400])). 20.85/3.48 tff(f1400,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : ty] : (mem(X1,sK19(X0,X1),X0) | nil(X1) = X0 | distinct(X1,sK17(X0,X1)) | ~distinct(X1,X0)) )), 20.85/3.48 inference(subsumption_resolution,[],[f1397,f346])). 20.85/3.48 tff(f1397,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : ty] : (distinct(X1,sK17(X0,X1)) | mem(X1,sK19(X0,X1),X0) | ~distinct(X1,X0) | ~sort1(X1,sK19(X0,X1)) | nil(X1) = X0) )), 20.85/3.48 inference(superposition,[],[f397,f347])). 20.85/3.48 tff(f10241,plain,( 20.85/3.48 ~spl29_231 | spl29_163 | ~spl29_206), 20.85/3.48 inference(avatar_split_clause,[],[f10230,f9798,f5304,f10238])). 20.85/3.48 tff(f10230,plain,( 20.85/3.48 empty1 != tb2t2(cons_proj_11(tree,sF21)) | (spl29_163 | ~spl29_206)), 20.85/3.48 inference(subsumption_resolution,[],[f10203,f5305])). 20.85/3.48 tff(f10203,plain,( 20.85/3.48 empty1 != tb2t2(cons_proj_11(tree,sF21)) | nil(tree) = sF21 | ~spl29_206), 20.85/3.48 inference(resolution,[],[f9799,f1252])). 20.85/3.48 tff(f10202,plain,( 20.85/3.48 ~spl29_102 | ~spl29_3 | ~spl29_11 | spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f10201,f1661,f449,f409,f2117])). 20.85/3.48 tff(f449,definition,( 20.85/3.48 spl29_11 <=> all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),nil(tree))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_11])],[avatar_definition])). 20.85/3.48 tff(f1661,definition,( 20.85/3.48 spl29_59 <=> 0 = size1(sK9)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_59])],[avatar_definition])). 20.85/3.48 tff(f10201,plain,( 20.85/3.48 ~mem(tree,sF25,cons(tree,t2tb2(empty1),nil(tree))) | (~spl29_3 | ~spl29_11 | spl29_59)), 20.85/3.48 inference(subsumption_resolution,[],[f10195,f1662])). 20.85/3.48 tff(f1662,plain,( 20.85/3.48 0 != size1(sK9) | spl29_59), 20.85/3.48 inference(avatar_component_clause,[],[f1661])). 20.85/3.48 tff(f10195,plain,( 20.85/3.48 ~mem(tree,sF25,cons(tree,t2tb2(empty1),nil(tree))) | 0 = size1(sK9) | (~spl29_3 | ~spl29_11)), 20.85/3.48 inference(resolution,[],[f2384,f451])). 20.85/3.48 tff(f451,plain,( 20.85/3.48 all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),nil(tree)))) | ~spl29_11), 20.85/3.48 inference(avatar_component_clause,[],[f449])). 20.85/3.48 tff(f10194,plain,( 20.85/3.48 spl29_207 | spl29_215 | ~spl29_12 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f10172,f2519,f454,f9834,f9802])). 20.85/3.48 tff(f9834,definition,( 20.85/3.48 spl29_215 <=> ! [X0 : $int] : (~all_trees1($sum(1,X0),sK13) | ~all_trees1(X0,sK5))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_215])],[avatar_definition])). 20.85/3.48 tff(f10172,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | ~all_trees1($sum(1,X0),sK13)) ) | (~spl29_12 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f2396])). 20.85/3.48 tff(f10117,plain,( 20.85/3.48 ~spl29_27 | ~spl29_152), 20.85/3.48 inference(avatar_contradiction_clause,[],[f10116])). 20.85/3.48 tff(f10116,plain,( 20.85/3.48 $false | (~spl29_27 | ~spl29_152)), 20.85/3.48 inference(subsumption_resolution,[],[f10115,f538])). 20.85/3.48 tff(f10115,plain,( 20.85/3.48 ~sort1(tree,sF25) | ~spl29_152), 20.85/3.48 inference(resolution,[],[f3476,f358])). 20.85/3.48 tff(f3476,plain,( 20.85/3.48 mem(tree,sF25,nil(tree)) | ~spl29_152), 20.85/3.48 inference(avatar_component_clause,[],[f3474])). 20.85/3.48 tff(f3474,definition,( 20.85/3.48 spl29_152 <=> mem(tree,sF25,nil(tree))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_152])],[avatar_definition])). 20.85/3.48 tff(f10075,plain,( 20.85/3.48 ~spl29_121 | ~spl29_20 | ~spl29_27 | spl29_109 | spl29_120), 20.85/3.48 inference(avatar_split_clause,[],[f10073,f2373,f2217,f536,f494,f2377])). 20.85/3.48 tff(f2377,definition,( 20.85/3.48 spl29_121 <=> mem(tree,t2tb2(empty1),sF26)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_121])],[avatar_definition])). 20.85/3.48 tff(f2217,definition,( 20.85/3.48 spl29_109 <=> mem(tree,t2tb2(empty1),sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_109])],[avatar_definition])). 20.85/3.48 tff(f10073,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF26) | (~spl29_20 | ~spl29_27 | spl29_109 | spl29_120)), 20.85/3.48 inference(subsumption_resolution,[],[f10072,f2374])). 20.85/3.48 tff(f10072,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF26) | t2tb2(empty1) = sF25 | (~spl29_20 | ~spl29_27 | spl29_109)), 20.85/3.48 inference(resolution,[],[f2219,f1366])). 20.85/3.48 tff(f2219,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF20) | spl29_109), 20.85/3.48 inference(avatar_component_clause,[],[f2217])). 20.85/3.48 tff(f10063,plain,( 20.85/3.48 spl29_164 | ~spl29_18 | spl29_163 | ~spl29_207), 20.85/3.48 inference(avatar_split_clause,[],[f10062,f9802,f5304,f484,f5314])). 20.85/3.48 tff(f10062,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | (~spl29_18 | spl29_163 | ~spl29_207)), 20.85/3.48 inference(subsumption_resolution,[],[f10060,f5305])). 20.85/3.48 tff(f10060,plain,( 20.85/3.48 nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | (~spl29_18 | ~spl29_207)), 20.85/3.48 inference(subsumption_resolution,[],[f10051,f486])). 20.85/3.48 tff(f10051,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | ~distinct(tree,sF21) | nil(tree) = sF21 | ~spl29_207), 20.85/3.48 inference(resolution,[],[f9803,f1400])). 20.85/3.48 tff(f9803,plain,( 20.85/3.48 ( ! [X1 : uni] : (~mem(tree,X1,sF21)) ) | ~spl29_207), 20.85/3.48 inference(avatar_component_clause,[],[f9802])). 20.85/3.48 tff(f10058,plain,( 20.85/3.48 spl29_163 | ~spl29_207), 20.85/3.48 inference(avatar_contradiction_clause,[],[f10057])). 20.85/3.48 tff(f10057,plain,( 20.85/3.48 $false | (spl29_163 | ~spl29_207)), 20.85/3.48 inference(subsumption_resolution,[],[f10035,f5305])). 20.85/3.48 tff(f10035,plain,( 20.85/3.48 nil(tree) = sF21 | ~spl29_207), 20.85/3.48 inference(resolution,[],[f9803,f1252])). 20.85/3.48 tff(f9953,plain,( 20.85/3.48 ~spl29_120 | ~spl29_53 | spl29_170), 20.85/3.48 inference(avatar_split_clause,[],[f9952,f5919,f1019,f2373])). 20.85/3.48 tff(f5919,definition,( 20.85/3.48 spl29_170 <=> t2tb2(empty1) = cons_proj_11(tree,sF26)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_170])],[avatar_definition])). 20.85/3.48 tff(f9952,plain,( 20.85/3.48 t2tb2(empty1) != sF25 | (~spl29_53 | spl29_170)), 20.85/3.48 inference(forward_demodulation,[],[f5920,f1021])). 20.85/3.48 tff(f5920,plain,( 20.85/3.48 t2tb2(empty1) != cons_proj_11(tree,sF26) | spl29_170), 20.85/3.48 inference(avatar_component_clause,[],[f5919])). 20.85/3.48 tff(f9938,plain,( 20.85/3.48 spl29_121 | spl29_48 | ~spl29_170), 20.85/3.48 inference(avatar_split_clause,[],[f9878,f5919,f726,f2377])). 20.85/3.48 tff(f9878,plain,( 20.85/3.48 mem(tree,t2tb2(empty1),sF26) | (spl29_48 | ~spl29_170)), 20.85/3.48 inference(subsumption_resolution,[],[f6024,f728])). 20.85/3.48 tff(f6024,plain,( 20.85/3.48 nil(tree) = sF26 | mem(tree,t2tb2(empty1),sF26) | ~spl29_170), 20.85/3.48 inference(superposition,[],[f1252,f5921])). 20.85/3.48 tff(f5921,plain,( 20.85/3.48 t2tb2(empty1) = cons_proj_11(tree,sF26) | ~spl29_170), 20.85/3.48 inference(avatar_component_clause,[],[f5919])). 20.85/3.48 tff(f9931,plain,( 20.85/3.48 spl29_227 | spl29_180 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f6230,f399,f6301,f9898])). 20.85/3.48 tff(f9898,definition,( 20.85/3.48 spl29_227 <=> ! [X2 : $int] : (size1(sK9) = X2 | ~all_trees1(X2,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_227])],[avatar_definition])). 20.85/3.48 tff(f6301,definition,( 20.85/3.48 spl29_180 <=> ! [X4 : tree1,X3 : tree1,X2 : tree1,X1 : tree1] : (~all_trees1(size1(X4),sK13) | ~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X1),sF20) | node1(node1(X1,X2),X3) != X4)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_180])],[avatar_definition])). 20.85/3.48 tff(f6230,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : tree1,X4 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X2),sF21) | node1(node1(X1,X2),X3) != X4 | ~all_trees1(size1(X4),sK13) | size1(sK9) = X0) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2054,f2719])). 20.85/3.48 tff(f9930,plain,( 20.85/3.48 spl29_109 | spl29_230 | ~spl29_191), 20.85/3.48 inference(avatar_split_clause,[],[f9430,f8521,f9928,f2217])). 20.85/3.48 tff(f9928,definition,( 20.85/3.48 spl29_230 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | ~mem(tree,t2tb2(node1(empty1,X0)),sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_230])],[avatar_definition])). 20.85/3.48 tff(f8521,definition,( 20.85/3.48 spl29_191 <=> ! [X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | empty1 = sK12(node1(empty1,X1)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_191])],[avatar_definition])). 20.85/3.48 tff(f9430,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | ~mem(tree,t2tb2(node1(empty1,X0)),sF22) | mem(tree,t2tb2(empty1),sF20)) ) | ~spl29_191), 20.85/3.48 inference(superposition,[],[f383,f8522])). 20.85/3.48 tff(f8522,plain,( 20.85/3.48 ( ! [X1 : tree1] : (empty1 = sK12(node1(empty1,X1)) | ~mem(tree,t2tb2(X1),sF21)) ) | ~spl29_191), 20.85/3.48 inference(avatar_component_clause,[],[f8521])). 20.85/3.48 tff(f383,plain,( 20.85/3.48 ( ! [X8 : tree1] : (mem(tree,t2tb2(sK12(X8)),sF20) | ~mem(tree,t2tb2(X8),sF22)) )), 20.85/3.48 inference(definition_folding,[],[f294,f378,f374])). 20.85/3.48 tff(f294,plain,( 20.85/3.48 ( ! [X8 : tree1] : (mem(tree,t2tb2(sK12(X8)),t2tb1(sK8)) | ~mem(tree,t2tb2(X8),t2tb1(sK10))) )), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f9925,plain,( 20.85/3.48 spl29_140 | spl29_48 | ~spl29_50 | ~spl29_170), 20.85/3.48 inference(avatar_split_clause,[],[f6031,f5919,f749,f726,f2624])). 20.85/3.48 tff(f2624,definition,( 20.85/3.48 spl29_140 <=> sF26 = cons(tree,t2tb2(empty1),sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_140])],[avatar_definition])). 20.85/3.48 tff(f6031,plain,( 20.85/3.48 sF26 = cons(tree,t2tb2(empty1),sF20) | (spl29_48 | ~spl29_50 | ~spl29_170)), 20.85/3.48 inference(forward_demodulation,[],[f6029,f751])). 20.85/3.48 tff(f6029,plain,( 20.85/3.48 sF26 = cons(tree,t2tb2(empty1),cons_proj_21(tree,sF26)) | (spl29_48 | ~spl29_170)), 20.85/3.48 inference(subsumption_resolution,[],[f6022,f728])). 20.85/3.48 tff(f6022,plain,( 20.85/3.48 nil(tree) = sF26 | sF26 = cons(tree,t2tb2(empty1),cons_proj_21(tree,sF26)) | ~spl29_170), 20.85/3.48 inference(superposition,[],[f322,f5921])). 20.85/3.48 tff(f9923,plain,( 20.85/3.48 spl29_59 | spl29_223 | ~spl29_1 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f5108,f444,f399,f9880,f1661])). 20.85/3.48 tff(f9880,definition,( 20.85/3.48 spl29_223 <=> ! [X2 : tree1,X0 : uni,X1 : tree1,X3 : tree1] : (~mem(tree,X0,sF22) | ~all_trees1(size1(X3),sK13) | node1(sK12(tb2t2(X0)),X2) != X3 | node1(empty1,X1) != tb2t2(X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_223])],[avatar_definition])). 20.85/3.48 tff(f5108,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : uni,X1 : tree1] : (~all_trees1(size1(X2),sK13) | ~mem(tree,X0,sF22) | node1(sK12(tb2t2(X0)),X1) != X2 | node1(empty1,X3) != tb2t2(X0) | 0 = size1(sK9)) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(superposition,[],[f2054,f1504])). 20.85/3.48 tff(f9922,plain,( 20.85/3.48 ~spl29_109 | spl29_228 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f6213,f444,f9910,f2217])). 20.85/3.48 tff(f9910,definition,( 20.85/3.48 spl29_228 <=> ! [X0 : tree1,X1 : $int] : (~mem(tree,t2tb2(X0),sF21) | ~all_trees1(X1,tb2t1(sF22)) | $sum(1,size1(X0)) = X1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_228])],[avatar_definition])). 20.85/3.48 tff(f6213,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,tb2t1(sF22)) | $sum(1,size1(X1)) = X0 | ~mem(tree,t2tb2(empty1),sF20)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1093,f2719])). 20.85/3.48 tff(f9921,plain,( 20.85/3.48 spl29_220 | spl29_226 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9746,f454,f399,f9893,f9861])). 20.85/3.48 tff(f9861,definition,( 20.85/3.48 spl29_220 <=> ! [X2 : tree1,X0 : uni,X3 : tree1] : (~mem(tree,X0,sF21) | node1(tb2t2(X0),X2) != X3 | ~all_trees1(size1(X3),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_220])],[avatar_definition])). 20.85/3.48 tff(f9746,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : uni,X1 : $int] : (~all_trees1(size1(X3),sK13) | size1(sK9) = X1 | ~mem(tree,X0,sF21) | node1(tb2t2(X0),X2) != X3 | ~all_trees1(X1,sK5)) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2396,f2054])). 20.85/3.48 tff(f9917,plain,( 20.85/3.48 spl29_204 | spl29_229 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9773,f454,f399,f9915,f9791])). 20.85/3.48 tff(f9773,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | sK9 = node_proj_11(tb2t2(X1)) | ~all_trees1(X0,sK5) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2053,f2396])). 20.85/3.48 tff(f2053,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | sK9 = node_proj_11(X0)) ) | ~spl29_1), 20.85/3.48 inference(resolution,[],[f981,f670])). 20.85/3.48 tff(f670,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | sK9 = node_proj_11(X0)) )), 20.85/3.48 inference(superposition,[],[f275,f388])). 20.85/3.48 tff(f9912,plain,( 20.85/3.48 spl29_228 | ~spl29_109 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f6200,f444,f2217,f9910])). 20.85/3.48 tff(f6200,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : $int] : (~mem(tree,t2tb2(X0),sF21) | ~mem(tree,t2tb2(empty1),sF20) | $sum(1,size1(X0)) = X1 | ~all_trees1(X1,tb2t1(sF22))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2719,f1093])). 20.85/3.48 tff(f9900,plain,( 20.85/3.48 spl29_227 | spl29_180 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f6203,f399,f6301,f9898])). 20.85/3.48 tff(f6203,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : tree1,X1 : tree1,X4 : tree1] : (~mem(tree,t2tb2(X0),sF20) | node1(node1(X0,X1),X3) != X4 | ~all_trees1(size1(X4),sK13) | size1(sK9) = X2 | ~all_trees1(X2,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF21)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2719,f2054])). 20.85/3.48 tff(f9895,plain,( 20.85/3.48 spl29_220 | spl29_226 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9774,f454,f399,f9893,f9861])). 20.85/3.48 tff(f9774,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(size1(X3),sK13) | ~all_trees1(X0,sK5) | node1(tb2t2(X1),X2) != X3 | size1(sK9) = X0) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2054,f2396])). 20.85/3.48 tff(f9890,plain,( 20.85/3.48 ~spl29_224 | spl29_225 | ~spl29_1 | ~spl29_7), 20.85/3.48 inference(avatar_split_clause,[],[f8756,f429,f399,f9888,f9884])). 20.85/3.48 tff(f9884,definition,( 20.85/3.48 spl29_224 <=> all_trees1(size1(sK9),sK8)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_224])],[avatar_definition])). 20.85/3.48 tff(f9888,definition,( 20.85/3.48 spl29_225 <=> ! [X2 : tree1,X0 : uni,X1 : tree1] : (~all_trees1(size1(X2),sK13) | mem(tree,X0,sF20) | node1(tb2t2(X0),X1) != X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_225])],[avatar_definition])). 20.85/3.48 tff(f429,definition,( 20.85/3.48 spl29_7 <=> t2tb1(sK8) = sF20), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_7])],[avatar_definition])). 20.85/3.48 tff(f8756,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : uni,X1 : tree1] : (~all_trees1(size1(X2),sK13) | node1(tb2t2(X0),X1) != X2 | mem(tree,X0,sF20) | ~all_trees1(size1(sK9),sK8)) ) | (~spl29_1 | ~spl29_7)), 20.85/3.48 inference(superposition,[],[f2049,f2054])). 20.85/3.48 tff(f2049,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(size1(tb2t2(X0)),sK8) | mem(tree,X0,sF20)) ) | ~spl29_7), 20.85/3.48 inference(superposition,[],[f979,f337])). 20.85/3.48 tff(f979,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF20) | ~all_trees1(size1(X0),sK8)) ) | ~spl29_7), 20.85/3.48 inference(superposition,[],[f372,f431])). 20.85/3.48 tff(f431,plain,( 20.85/3.48 t2tb1(sK8) = sF20 | ~spl29_7), 20.85/3.48 inference(avatar_component_clause,[],[f429])). 20.85/3.48 tff(f9882,plain,( 20.85/3.48 spl29_223 | spl29_59 | ~spl29_1 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f5160,f444,f399,f1661,f9880])). 20.85/3.48 tff(f5160,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : uni,X1 : tree1] : (~mem(tree,X0,sF22) | 0 = size1(sK9) | node1(empty1,X1) != tb2t2(X0) | node1(sK12(tb2t2(X0)),X2) != X3 | ~all_trees1(size1(X3),sK13)) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(superposition,[],[f1504,f2054])). 20.85/3.48 tff(f9877,plain,( 20.85/3.48 spl29_204 | spl29_222 | ~spl29_1 | ~spl29_12 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f9775,f1755,f454,f399,f9875,f9791])). 20.85/3.48 tff(f1755,definition,( 20.85/3.48 spl29_70 <=> ! [X0 : tree1] : (sK9 = sK12(X0) | ~mem(tree,t2tb2(X0),sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_70])],[avatar_definition])). 20.85/3.48 tff(f9775,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | ~all_trees1(X0,sK13) | sK9 = sK12(tb2t2(X1))) ) | (~spl29_1 | ~spl29_12 | ~spl29_70)), 20.85/3.48 inference(superposition,[],[f2056,f2396])). 20.85/3.48 tff(f2056,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | sK9 = sK12(X0)) ) | (~spl29_1 | ~spl29_70)), 20.85/3.48 inference(resolution,[],[f981,f1756])). 20.85/3.48 tff(f1756,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | sK9 = sK12(X0)) ) | ~spl29_70), 20.85/3.48 inference(avatar_component_clause,[],[f1755])). 20.85/3.48 tff(f9873,plain,( 20.85/3.48 spl29_120 | ~spl29_53 | ~spl29_170), 20.85/3.48 inference(avatar_split_clause,[],[f6016,f5919,f1019,f2373])). 20.85/3.48 tff(f6016,plain,( 20.85/3.48 t2tb2(empty1) = sF25 | (~spl29_53 | ~spl29_170)), 20.85/3.48 inference(superposition,[],[f5921,f1021])). 20.85/3.48 tff(f9867,plain,( 20.85/3.48 spl29_221 | spl29_220 | ~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9859,f557,f454,f444,f399,f9861,f9864])). 20.85/3.48 tff(f9864,definition,( 20.85/3.48 spl29_221 <=> ! [X1 : $int] : (~all_trees1(X1,sK5) | 0 = X1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_221])],[avatar_definition])). 20.85/3.48 tff(f9859,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | node1(tb2t2(X1),X2) != X3 | ~all_trees1(X0,sK5) | ~all_trees1(size1(X3),sK13) | 0 = X0) ) | (~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f9851,f446])). 20.85/3.48 tff(f9851,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : uni] : (~all_trees1(size1(X3),sK13) | size1(empty1) = X0 | ~mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | node1(tb2t2(X1),X2) != X3) ) | (~spl29_1 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f9774,f558])). 20.85/3.48 tff(f558,plain,( 20.85/3.48 empty1 = sK9 | ~spl29_30), 20.85/3.48 inference(avatar_component_clause,[],[f557])). 20.85/3.48 tff(f9866,plain,( 20.85/3.48 spl29_220 | spl29_221 | ~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9856,f557,f454,f444,f399,f9864,f9861])). 20.85/3.48 tff(f9856,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : uni,X1 : $int] : (~mem(tree,X0,sF21) | ~all_trees1(X1,sK5) | ~all_trees1(size1(X3),sK13) | node1(tb2t2(X0),X2) != X3 | 0 = X1) ) | (~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f9817,f446])). 20.85/3.48 tff(f9817,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : uni,X1 : $int] : (~all_trees1(X1,sK5) | node1(tb2t2(X0),X2) != X3 | size1(empty1) = X1 | ~all_trees1(size1(X3),sK13) | ~mem(tree,X0,sF21)) ) | (~spl29_1 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f9746,f558])). 20.85/3.48 tff(f9858,plain,( 20.85/3.48 spl29_218 | spl29_204 | ~spl29_1 | ~spl29_12 | ~spl29_30 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f9846,f1755,f557,f454,f399,f9791,f9848])). 20.85/3.48 tff(f9848,definition,( 20.85/3.48 spl29_218 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | empty1 = sK12(tb2t2(X1)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_218])],[avatar_definition])). 20.85/3.48 tff(f9846,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK13) | empty1 = sK12(tb2t2(X1)) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF21)) ) | (~spl29_1 | ~spl29_12 | ~spl29_30 | ~spl29_70)), 20.85/3.48 inference(forward_demodulation,[],[f9775,f558])). 20.85/3.48 tff(f9857,plain,( 20.85/3.48 spl29_213 | spl29_204 | ~spl29_1 | ~spl29_12 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9841,f557,f454,f399,f9791,f9827])). 20.85/3.48 tff(f9827,definition,( 20.85/3.48 spl29_213 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | empty1 = node_proj_11(tb2t2(X1)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_213])],[avatar_definition])). 20.85/3.48 tff(f9841,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (empty1 = node_proj_11(tb2t2(X1)) | ~mem(tree,X1,sF21) | ~all_trees1(X0,sK13) | ~all_trees1(X0,sK5)) ) | (~spl29_1 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f9773,f558])). 20.85/3.48 tff(f9855,plain,( 20.85/3.48 spl29_207 | spl29_219 | ~spl29_10 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9777,f454,f444,f9853,f9802])). 20.85/3.48 tff(f9777,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~$less($sum(1,X0),0) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF21)) ) | (~spl29_10 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2186,f2396])). 20.85/3.48 tff(f9850,plain,( 20.85/3.48 spl29_218 | spl29_204 | ~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f9787,f2217,f557,f522,f454,f399,f9791,f9848])). 20.85/3.48 tff(f9787,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK13) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF21) | empty1 = sK12(tb2t2(X1))) ) | (~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(superposition,[],[f8353,f2396])). 20.85/3.48 tff(f8353,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | empty1 = sK12(X0)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8347,f3693])). 20.85/3.48 tff(f8347,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | empty1 = sK12(X0) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8334,f2218])). 20.85/3.48 tff(f2218,plain,( 20.85/3.48 mem(tree,t2tb2(empty1),sF20) | ~spl29_109), 20.85/3.48 inference(avatar_component_clause,[],[f2217])). 20.85/3.48 tff(f8334,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = sK12(X0) | ~mem(tree,t2tb2(empty1),sF20) | ~mem(tree,t2tb2(sK11(X0)),sF21) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f695,f5451])). 20.85/3.48 tff(f5451,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(empty1,sK11(X0)) = X0 | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f3451,f558])). 20.85/3.48 tff(f3451,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,sK11(X0)) = X0 | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(subsumption_resolution,[],[f3444,f981])). 20.85/3.48 tff(f3444,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25)), 20.85/3.48 inference(superposition,[],[f860,f2058])). 20.85/3.48 tff(f860,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,node_proj_21(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f855,f320])). 20.85/3.48 tff(f855,plain,( 20.85/3.48 ( ! [X0 : uni] : (node1(sK9,node_proj_21(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(subsumption_resolution,[],[f842,f662])). 20.85/3.48 tff(f842,plain,( 20.85/3.48 ( ! [X0 : uni] : (node1(sK9,node_proj_21(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,X0,sF23) | empty1 = tb2t2(X0)) )), 20.85/3.48 inference(superposition,[],[f310,f676])). 20.85/3.48 tff(f676,plain,( 20.85/3.48 ( ! [X0 : uni] : (sK9 = node_proj_11(tb2t2(X0)) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f670,f337])). 20.85/3.48 tff(f9845,plain,( 20.85/3.48 spl29_217 | spl29_207 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9768,f454,f9802,f9843])). 20.85/3.48 tff(f9768,plain,( 20.85/3.48 ( ! [X2 : list_tree,X3 : $int,X0 : $int,X1 : uni] : (~all_trees1(X0,X2) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF21) | X0 = X3 | ~all_trees1(X3,X2)) ) | ~spl29_12), 20.85/3.48 inference(superposition,[],[f1225,f2396])). 20.85/3.48 tff(f9840,plain,( 20.85/3.48 spl29_207 | spl29_216 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9789,f454,f9838,f9802])). 20.85/3.48 tff(f9789,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : uni] : (~all_trees1(X0,sK5) | X0 = X2 | ~mem(tree,X1,sF21) | ~all_trees1(X2,sK5)) ) | ~spl29_12), 20.85/3.48 inference(duplicate_literal_removal,[],[f9739])). 20.85/3.48 tff(f9739,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : uni] : (~all_trees1(X0,sK5) | ~all_trees1(X2,sK5) | ~mem(tree,X1,sF21) | ~mem(tree,X1,sF21) | X0 = X2) ) | ~spl29_12), 20.85/3.48 inference(superposition,[],[f2396,f2396])). 20.85/3.48 tff(f9836,plain,( 20.85/3.48 spl29_214 | spl29_215 | ~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9783,f557,f454,f444,f399,f9834,f9831])). 20.85/3.48 tff(f9831,definition,( 20.85/3.48 spl29_214 <=> ! [X1 : uni] : (empty1 = tb2t2(X1) | ~mem(tree,X1,sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_214])],[avatar_definition])). 20.85/3.48 tff(f9783,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (empty1 = tb2t2(X1) | ~all_trees1($sum(1,X0),sK13) | ~mem(tree,X1,sF21) | ~all_trees1(X0,sK5)) ) | (~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6610,f2396])). 20.85/3.48 tff(f6610,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK13) | empty1 = X0) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f2278,f558])). 20.85/3.48 tff(f2278,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK13) | sK9 = X0) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(forward_demodulation,[],[f2269,f275])). 20.85/3.48 tff(f2269,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK9 = node_proj_11(node1(X0,empty1)) | ~all_trees1($sum(1,size1(X0)),sK13)) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(superposition,[],[f2053,f1092])). 20.85/3.48 tff(f9829,plain,( 20.85/3.48 spl29_213 | spl29_204 | ~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9786,f557,f522,f454,f399,f9791,f9827])). 20.85/3.48 tff(f9786,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK13) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF21) | empty1 = node_proj_11(tb2t2(X1))) ) | (~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f8329,f2396])). 20.85/3.48 tff(f8329,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | empty1 = node_proj_11(X0)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f275,f5451])). 20.85/3.48 tff(f9825,plain,( 20.85/3.48 spl29_207 | spl29_212 | ~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9785,f557,f454,f444,f399,f9823,f9802])). 20.85/3.48 tff(f9823,definition,( 20.85/3.48 spl29_212 <=> ! [X0 : $int] : (~all_trees1(X0,sK5) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_212])],[avatar_definition])). 20.85/3.48 tff(f9785,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK5) | ~mem(tree,X1,sF21) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6659,f2396])). 20.85/3.48 tff(f6659,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,$sum(1,size1(X0)))),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6646,f1092])). 20.85/3.48 tff(f6646,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,size1(X0))),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(subsumption_resolution,[],[f6619,f263])). 20.85/3.48 tff(f6619,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = node1(X0,empty1) | ~all_trees1($sum(1,$sum(1,size1(X0))),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6610,f1092])). 20.85/3.48 tff(f9821,plain,( 20.85/3.48 spl29_204 | spl29_211 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9755,f454,f399,f9819,f9791])). 20.85/3.48 tff(f9819,definition,( 20.85/3.48 spl29_211 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | mem(tree,X1,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_211])],[avatar_definition])). 20.85/3.48 tff(f9755,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~all_trees1(X0,sK5) | ~mem(tree,X1,sF21) | ~all_trees1(X0,sK13) | mem(tree,X1,sF23)) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2063,f2396])). 20.85/3.48 tff(f2063,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(size1(tb2t2(X0)),sK13) | mem(tree,X0,sF23)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f981,f337])). 20.85/3.48 tff(f9816,plain,( 20.85/3.48 spl29_207 | spl29_210 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9760,f454,f9814,f9802])). 20.85/3.48 tff(f9760,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~$less(X0,0) | ~all_trees1(X0,sK5) | ~mem(tree,X1,sF21)) ) | ~spl29_12), 20.85/3.48 inference(superposition,[],[f333,f2396])). 20.85/3.48 tff(f9812,plain,( 20.85/3.48 spl29_209 | spl29_206 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9762,f454,f9798,f9810])). 20.85/3.48 tff(f9762,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | ~$less(0,X0) | empty1 != tb2t2(X1)) ) | ~spl29_12), 20.85/3.48 inference(superposition,[],[f997,f2396])). 20.85/3.48 tff(f9807,plain,( 20.85/3.48 spl29_207 | spl29_208 | ~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9784,f557,f454,f444,f399,f9805,f9802])). 20.85/3.48 tff(f9784,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(X0,sK5) | ~all_trees1($sum(1,$sum(1,X0)),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_12 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6646,f2396])). 20.85/3.48 tff(f9800,plain,( 20.85/3.48 spl29_206 | spl29_204 | ~spl29_1 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f9772,f454,f399,f9791,f9798])). 20.85/3.48 tff(f9772,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | ~all_trees1(X0,sK13) | empty1 != tb2t2(X1) | ~all_trees1(X0,sK5)) ) | (~spl29_1 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f2051,f2396])). 20.85/3.48 tff(f2051,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | empty1 != X0) ) | ~spl29_1), 20.85/3.48 inference(resolution,[],[f981,f547])). 20.85/3.48 tff(f9796,plain,( 20.85/3.48 spl29_204 | spl29_205 | ~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f9756,f2217,f557,f522,f454,f399,f9794,f9791])). 20.85/3.48 tff(f9794,definition,( 20.85/3.48 spl29_205 <=> ! [X1 : uni] : (~mem(tree,X1,sF21) | mem(tree,X1,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_205])],[avatar_definition])). 20.85/3.48 tff(f9756,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : uni] : (~mem(tree,X1,sF21) | mem(tree,X1,sF22) | ~all_trees1(X0,sK5) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_12 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(superposition,[],[f8587,f2396])). 20.85/3.48 tff(f8587,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(size1(tb2t2(X0)),sK13) | mem(tree,X0,sF22)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(superposition,[],[f8351,f337])). 20.85/3.48 tff(f8351,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF22) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8345,f3693])). 20.85/3.48 tff(f8345,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK13) | ~mem(tree,t2tb2(sK11(X0)),sF21) | mem(tree,t2tb2(X0),sF22)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8333,f2218])). 20.85/3.48 tff(f8333,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(empty1),sF20) | ~all_trees1(size1(X0),sK13) | ~mem(tree,t2tb2(sK11(X0)),sF21) | mem(tree,t2tb2(X0),sF22)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f380,f5451])). 20.85/3.48 tff(f9552,plain,( 20.85/3.48 spl29_202 | spl29_203 | ~spl29_1 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f9545,f557,f399,f9550,f9547])). 20.85/3.48 tff(f9547,definition,( 20.85/3.48 spl29_202 <=> ! [X0 : $int] : (~$less(0,X0) | ~all_trees1(X0,sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_202])],[avatar_definition])). 20.85/3.48 tff(f9550,definition,( 20.85/3.48 spl29_203 <=> ! [X1 : tree1] : (sK1(node1(empty1,X1)) = X1 | ~mem(tree,t2tb2(X1),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_203])],[avatar_definition])). 20.85/3.48 tff(f9545,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (sK1(node1(empty1,X1)) = X1 | ~$less(0,X0) | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f9524,f558])). 20.85/3.48 tff(f9524,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (sK1(node1(sK9,X1)) = X1 | ~mem(tree,t2tb2(X1),sF21) | ~$less(0,X0) | ~all_trees1(X0,sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2082,f2487])). 20.85/3.48 tff(f2082,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~$less(0,size1(node1(X1,X0))) | sK1(node1(X1,X0)) = X0) )), 20.85/3.48 inference(superposition,[],[f998,f266])). 20.85/3.48 tff(f9544,plain,( 20.85/3.48 spl29_200 | spl29_201), 20.85/3.48 inference(avatar_split_clause,[],[f9520,f9542,f9539])). 20.85/3.48 tff(f9539,definition,( 20.85/3.48 spl29_200 <=> ! [X0 : $int] : (~all_trees1(X0,tb2t1(sF22)) | ~$less(0,X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_200])],[avatar_definition])). 20.85/3.48 tff(f9542,definition,( 20.85/3.48 spl29_201 <=> ! [X2 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21) | sK1(node1(X1,X2)) = X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_201])],[avatar_definition])). 20.85/3.48 tff(f9520,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20) | sK1(node1(X1,X2)) = X2 | ~mem(tree,t2tb2(X2),sF21) | ~$less(0,X0)) )), 20.85/3.48 inference(superposition,[],[f2082,f2719])). 20.85/3.48 tff(f9488,plain,( 20.85/3.48 spl29_199 | spl29_118 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f9472,f459,f2345,f9486])). 20.85/3.48 tff(f9486,definition,( 20.85/3.48 spl29_199 <=> ! [X0 : uni] : nil(tree) != infix_plpl(tree,sF24,X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_199])],[avatar_definition])). 20.85/3.48 tff(f9472,plain,( 20.85/3.48 ( ! [X0 : uni] : (nil(tree) = sF23 | nil(tree) != infix_plpl(tree,sF24,X0)) ) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3650,f1279])). 20.85/3.48 tff(f3650,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (nil(X0) != infix_plpl(X0,X1,X2) | nil(X0) = X1) )), 20.85/3.48 inference(superposition,[],[f338,f1267])). 20.85/3.48 tff(f9484,plain,( 20.85/3.48 ~spl29_142 | spl29_118 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f9471,f459,f2345,f3076])). 20.85/3.48 tff(f9471,plain,( 20.85/3.48 nil(tree) != sF24 | nil(tree) = sF23 | ~spl29_13), 20.85/3.48 inference(superposition,[],[f3650,f461])). 20.85/3.48 tff(f9279,plain,( 20.85/3.48 spl29_68 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f9275,f2217,f557,f1747])). 20.85/3.48 tff(f1747,definition,( 20.85/3.48 spl29_68 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(node_proj_21(X0)),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_68])],[avatar_definition])). 20.85/3.48 tff(f9275,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f9264,f2218])). 20.85/3.48 tff(f9264,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK11(X0)),sF21) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(empty1),sF20)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f779,f5435])). 20.85/3.48 tff(f5435,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(empty1,node_proj_21(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f860,f558])). 20.85/3.48 tff(f9278,plain,( 20.85/3.48 spl29_86 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f9273,f2217,f557,f1819])). 20.85/3.48 tff(f1819,definition,( 20.85/3.48 spl29_86 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(sK12(X0)),sF20))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_86])],[avatar_definition])). 20.85/3.48 tff(f9273,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(sK12(X0)),sF20) | node1(sK12(X0),sK11(X0)) = X0) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f9263,f2218])). 20.85/3.48 tff(f9263,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(empty1),sF20) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(sK12(X0)),sF20) | node1(sK12(X0),sK11(X0)) = X0) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f778,f5435])). 20.85/3.48 tff(f778,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (node1(sK12(node1(X0,X1)),sK11(node1(X0,X1))) = node1(X0,X1) | ~mem(tree,t2tb2(sK12(node1(X0,X1))),sF20) | ~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(X1),sF21)) )), 20.85/3.48 inference(duplicate_literal_removal,[],[f767])). 20.85/3.48 tff(f767,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | node1(sK12(node1(X0,X1)),sK11(node1(X0,X1))) = node1(X0,X1) | ~mem(tree,t2tb2(X1),sF21) | ~mem(tree,t2tb2(sK12(node1(X0,X1))),sF20) | ~mem(tree,t2tb2(X0),sF20)) )), 20.85/3.48 inference(superposition,[],[f745,f741])). 20.85/3.48 tff(f9277,plain,( 20.85/3.48 spl29_75 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f9271,f2217,f557,f1775])). 20.85/3.48 tff(f1775,definition,( 20.85/3.48 spl29_75 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node1(sK12(X0),node_proj_21(X0)) = X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_75])],[avatar_definition])). 20.85/3.48 tff(f9271,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),node_proj_21(X0)) = X0) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f9261,f2218])). 20.85/3.48 tff(f9261,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(empty1),sF20) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node1(sK12(X0),node_proj_21(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f741,f5435])). 20.85/3.48 tff(f9156,plain,( 20.85/3.48 spl29_191 | ~spl29_25 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f5441,f557,f522,f8521])). 20.85/3.48 tff(f5441,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = sK12(node1(empty1,X0)) | ~mem(tree,t2tb2(X0),sF21)) ) | (~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f2003,f558])). 20.85/3.48 tff(f2003,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK12(node1(sK9,X0)) = sK9 | ~mem(tree,t2tb2(X0),sF21)) ) | ~spl29_25), 20.85/3.48 inference(forward_demodulation,[],[f2000,f275])). 20.85/3.48 tff(f2000,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | sK12(node1(sK9,X0)) = node_proj_11(node1(sK9,X0))) ) | ~spl29_25), 20.85/3.48 inference(resolution,[],[f1864,f390])). 20.85/3.48 tff(f1864,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node_proj_11(X0) = sK12(X0)) ) | ~spl29_25), 20.85/3.48 inference(resolution,[],[f523,f671])). 20.85/3.48 tff(f8960,plain,( 20.85/3.48 ~spl29_197 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f8951,f444,f8933])). 20.85/3.48 tff(f8933,definition,( 20.85/3.48 spl29_197 <=> all_trees1(0,tb2t1(nil(tree)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_197])],[avatar_definition])). 20.85/3.48 tff(f8951,plain,( 20.85/3.48 ~all_trees1(0,tb2t1(nil(tree))) | ~spl29_10), 20.85/3.48 inference(subsumption_resolution,[],[f8892,f335])). 20.85/3.48 tff(f8892,plain,( 20.85/3.48 ~sort1(tree,t2tb2(empty1)) | ~all_trees1(0,tb2t1(nil(tree))) | ~spl29_10), 20.85/3.48 inference(resolution,[],[f2283,f358])). 20.85/3.48 tff(f2283,plain,( 20.85/3.48 ( ! [X0 : uni] : (mem(tree,t2tb2(empty1),X0) | ~all_trees1(0,tb2t1(X0))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f975,f446])). 20.85/3.48 tff(f975,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~all_trees1(size1(X1),tb2t1(X0)) | mem(tree,t2tb2(X1),X0)) )), 20.85/3.48 inference(superposition,[],[f372,f318])). 20.85/3.48 tff(f8943,plain,( 20.85/3.48 ~spl29_195 | ~spl29_10 | spl29_139), 20.85/3.48 inference(avatar_split_clause,[],[f8884,f2586,f444,f8910])). 20.85/3.48 tff(f8910,definition,( 20.85/3.48 spl29_195 <=> all_trees1(0,tb2t1(sF24))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_195])],[avatar_definition])). 20.85/3.48 tff(f2586,definition,( 20.85/3.48 spl29_139 <=> mem(tree,t2tb2(empty1),sF24)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_139])],[avatar_definition])). 20.85/3.48 tff(f8884,plain,( 20.85/3.48 ~all_trees1(0,tb2t1(sF24)) | (~spl29_10 | spl29_139)), 20.85/3.48 inference(resolution,[],[f2283,f2588])). 20.85/3.48 tff(f2588,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF24) | spl29_139), 20.85/3.48 inference(avatar_component_clause,[],[f2586])). 20.85/3.48 tff(f8939,plain,( 20.85/3.48 ~spl29_197 | spl29_198 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f8891,f444,f8937,f8933])). 20.85/3.48 tff(f8937,definition,( 20.85/3.48 spl29_198 <=> ! [X0 : uni] : mem(tree,t2tb2(empty1),X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_198])],[avatar_definition])). 20.85/3.48 tff(f8891,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(0,tb2t1(nil(tree))) | mem(tree,t2tb2(empty1),X0)) ) | ~spl29_10), 20.85/3.48 inference(resolution,[],[f2283,f1009])). 20.85/3.48 tff(f1009,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~mem(X1,X2,nil(X1)) | mem(X1,X2,X0)) )), 20.85/3.48 inference(superposition,[],[f282,f255])). 20.85/3.48 tff(f8927,plain,( 20.85/3.48 ~spl29_195 | ~spl29_10 | ~spl29_13 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f8902,f522,f459,f444,f8910])). 20.85/3.48 tff(f8902,plain,( 20.85/3.48 ~all_trees1(0,tb2t1(sF24)) | (~spl29_10 | ~spl29_13 | ~spl29_25)), 20.85/3.48 inference(trivial_inequality_removal,[],[f8888])). 20.85/3.48 tff(f8888,plain,( 20.85/3.48 ~all_trees1(0,tb2t1(sF24)) | empty1 != empty1 | (~spl29_10 | ~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2283,f2577])). 20.85/3.48 tff(f2577,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF24) | empty1 != X0) ) | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2571,f548])). 20.85/3.48 tff(f8925,plain,( 20.85/3.48 ~spl29_195 | spl29_196 | ~spl29_10 | ~spl29_13 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f8886,f522,f459,f444,f8922,f8910])). 20.85/3.48 tff(f8922,definition,( 20.85/3.48 spl29_196 <=> sK11(empty1) = node_proj_21(empty1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_196])],[avatar_definition])). 20.85/3.48 tff(f8886,plain,( 20.85/3.48 ~all_trees1(0,tb2t1(sF24)) | sK11(empty1) = node_proj_21(empty1) | (~spl29_10 | ~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2283,f2576])). 20.85/3.48 tff(f2576,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF24) | node_proj_21(X0) = sK11(X0)) ) | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2571,f667])). 20.85/3.48 tff(f8913,plain,( 20.85/3.48 spl29_194 | ~spl29_195 | ~spl29_10 | ~spl29_13 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f8887,f522,f459,f444,f8910,f8906])). 20.85/3.48 tff(f8906,definition,( 20.85/3.48 spl29_194 <=> node_proj_11(empty1) = sK12(empty1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_194])],[avatar_definition])). 20.85/3.48 tff(f8887,plain,( 20.85/3.48 node_proj_11(empty1) = sK12(empty1) | ~all_trees1(0,tb2t1(sF24)) | (~spl29_10 | ~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2283,f2575])). 20.85/3.48 tff(f8790,plain,( 20.85/3.48 spl29_191 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8789,f2217,f557,f8521])). 20.85/3.48 tff(f8789,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | empty1 = sK12(node1(empty1,X0))) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(forward_demodulation,[],[f8783,f558])). 20.85/3.48 tff(f8783,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = sK12(node1(sK9,X0)) | ~mem(tree,t2tb2(X0),sF21)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(resolution,[],[f8744,f390])). 20.85/3.48 tff(f8744,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | empty1 = sK12(X0)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8738,f389])). 20.85/3.48 tff(f8738,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK14(X0)),sF21) | empty1 = sK12(X0) | ~mem(tree,t2tb2(X0),sF23)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8718,f2218])). 20.85/3.48 tff(f8718,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = sK12(X0) | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(empty1),sF20) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f695,f5430])). 20.85/3.48 tff(f5430,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(empty1,sK14(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f388,f558])). 20.85/3.48 tff(f8747,plain,( 20.85/3.48 spl29_76 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8743,f2217,f557,f1779])). 20.85/3.48 tff(f8743,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK14(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8735,f389])). 20.85/3.48 tff(f8735,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK14(X0)) = X0 | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8719,f2218])). 20.85/3.48 tff(f8719,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK14(X0)) = X0 | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(empty1),sF20)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f741,f5430])). 20.85/3.48 tff(f8746,plain,( 20.85/3.48 spl29_82 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8742,f2217,f557,f1803])). 20.85/3.48 tff(f1803,definition,( 20.85/3.48 spl29_82 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK11(X0)),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_82])],[avatar_definition])). 20.85/3.48 tff(f8742,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK11(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8734,f389])). 20.85/3.48 tff(f8734,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8722,f2218])). 20.85/3.48 tff(f8722,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(empty1),sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f779,f5430])). 20.85/3.48 tff(f8745,plain,( 20.85/3.48 spl29_92 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8740,f2217,f557,f1843])). 20.85/3.48 tff(f8740,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK12(X0)),sF20) | node1(sK12(X0),sK11(X0)) = X0) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8729,f389])). 20.85/3.48 tff(f8729,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) ) | (~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8721,f2218])). 20.85/3.48 tff(f8721,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(empty1),sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK14(X0)),sF21)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f778,f5430])). 20.85/3.48 tff(f8591,plain,( 20.85/3.48 spl29_169 | ~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8589,f2217,f557,f522,f399,f5417])). 20.85/3.48 tff(f5417,definition,( 20.85/3.48 spl29_169 <=> ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~$less(0,size1(X0)) | ~all_trees1(size1(X2),sK13) | node1(X0,X1) != X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_169])],[avatar_definition])). 20.85/3.48 tff(f8589,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~$less(0,size1(X1)) | node1(X1,X2) != X0 | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(subsumption_resolution,[],[f8580,f8353])). 20.85/3.48 tff(f8580,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (node1(X1,X2) != X0 | ~all_trees1(size1(X0),sK13) | empty1 != sK12(X0) | ~$less(0,size1(X1))) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(resolution,[],[f8351,f1907])). 20.85/3.48 tff(f1907,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF22) | ~$less(0,size1(X0)) | empty1 != sK12(X1) | node1(X0,X2) != X1) )), 20.85/3.48 inference(superposition,[],[f997,f1121])). 20.85/3.48 tff(f8531,plain,( 20.85/3.48 spl29_154 | spl29_193 | ~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8519,f2217,f557,f522,f399,f8528,f5163])). 20.85/3.48 tff(f8528,definition,( 20.85/3.48 spl29_193 <=> empty1 = sK12(empty1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_193])],[avatar_definition])). 20.85/3.48 tff(f8519,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~all_trees1(size1(X0),sK13) | node1(X0,X1) != X2 | ~all_trees1(size1(X2),sK13) | empty1 = sK12(empty1)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(forward_demodulation,[],[f8503,f558])). 20.85/3.48 tff(f8503,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (empty1 = sK12(sK9) | node1(X0,X1) != X2 | ~all_trees1(size1(X2),sK13) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(superposition,[],[f8353,f2054])). 20.85/3.48 tff(f8526,plain,( 20.85/3.48 spl29_191 | spl29_192 | ~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f8518,f2217,f557,f522,f399,f8524,f8521])). 20.85/3.48 tff(f8518,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | ~mem(tree,t2tb2(X1),sF21) | empty1 = sK12(node1(empty1,X1))) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(forward_demodulation,[],[f8517,f558])). 20.85/3.48 tff(f8517,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | empty1 = sK12(node1(sK9,X1)) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(duplicate_literal_removal,[],[f8493])). 20.85/3.48 tff(f8493,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | empty1 = sK12(node1(sK9,X1)) | ~all_trees1(X0,sK13) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | ~spl29_109)), 20.85/3.48 inference(superposition,[],[f8353,f2487])). 20.85/3.48 tff(f8457,plain,( 20.85/3.48 spl29_155 | spl29_190 | ~spl29_1 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f8424,f444,f399,f8455,f5218])). 20.85/3.48 tff(f8455,definition,( 20.85/3.48 spl29_190 <=> ! [X0 : $int] : (~all_trees1(X0,sK13) | ~$less($sum(1,X0),0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_190])],[avatar_definition])). 20.85/3.48 tff(f8424,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | ~mem(tree,t2tb2(X1),sF21) | ~$less($sum(1,X0),0)) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(superposition,[],[f2186,f2487])). 20.85/3.48 tff(f8453,plain,( 20.85/3.48 spl29_189 | spl29_155 | spl29_171 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f8420,f444,f6246,f5218,f8451])). 20.85/3.48 tff(f8451,definition,( 20.85/3.48 spl29_189 <=> ! [X0 : $int] : (~all_trees1(X0,tb2t1(sF22)) | ~$less($sum(1,X0),0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_189])],[avatar_definition])). 20.85/3.48 tff(f8420,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20) | ~$less($sum(1,X0),0) | ~mem(tree,t2tb2(X2),sF21)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f2186,f2719])). 20.85/3.48 tff(f8405,plain,( 20.85/3.48 spl29_154 | ~spl29_1 | ~spl29_25 | ~spl29_30 | spl29_137), 20.85/3.48 inference(avatar_split_clause,[],[f8404,f2561,f557,f522,f399,f5163])). 20.85/3.48 tff(f2561,definition,( 20.85/3.48 spl29_137 <=> empty1 = node_proj_11(empty1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_137])],[avatar_definition])). 20.85/3.48 tff(f8404,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~all_trees1(size1(X2),sK13) | ~all_trees1(size1(X0),sK13) | node1(X0,X1) != X2) ) | (~spl29_1 | ~spl29_25 | ~spl29_30 | spl29_137)), 20.85/3.48 inference(subsumption_resolution,[],[f8402,f2562])). 20.85/3.48 tff(f2562,plain,( 20.85/3.48 empty1 != node_proj_11(empty1) | spl29_137), 20.85/3.48 inference(avatar_component_clause,[],[f2561])). 20.85/3.48 tff(f8402,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (node1(X0,X1) != X2 | ~all_trees1(size1(X2),sK13) | empty1 = node_proj_11(empty1) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f8382,f558])). 20.85/3.48 tff(f8382,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (node1(X0,X1) != X2 | ~all_trees1(size1(X0),sK13) | empty1 = node_proj_11(sK9) | ~all_trees1(size1(X2),sK13)) ) | (~spl29_1 | ~spl29_25 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f8329,f2054])). 20.85/3.48 tff(f8280,plain,( 20.85/3.48 spl29_105 | ~spl29_25 | ~spl29_114), 20.85/3.48 inference(avatar_split_clause,[],[f8279,f2320,f522,f2134])). 20.85/3.48 tff(f2134,definition,( 20.85/3.48 spl29_105 <=> ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_105])],[avatar_definition])). 20.85/3.48 tff(f8279,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF23)) ) | (~spl29_25 | ~spl29_114)), 20.85/3.48 inference(superposition,[],[f4121,f337])). 20.85/3.48 tff(f4121,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF23) | node1(empty1,X0) != X1) ) | (~spl29_25 | ~spl29_114)), 20.85/3.48 inference(resolution,[],[f3812,f523])). 20.85/3.48 tff(f3812,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X0),sF22) | node1(empty1,X1) != X0) ) | ~spl29_114), 20.85/3.48 inference(superposition,[],[f2321,f320])). 20.85/3.48 tff(f2321,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22)) ) | ~spl29_114), 20.85/3.48 inference(avatar_component_clause,[],[f2320])). 20.85/3.48 tff(f7813,plain,( 20.85/3.48 ~spl29_3 | ~spl29_26 | ~spl29_171), 20.85/3.48 inference(avatar_contradiction_clause,[],[f7812])). 20.85/3.48 tff(f7812,plain,( 20.85/3.48 $false | (~spl29_3 | ~spl29_26 | ~spl29_171)), 20.85/3.48 inference(subsumption_resolution,[],[f7808,f532])). 20.85/3.48 tff(f7808,plain,( 20.85/3.48 ~mem(tree,sF25,sF20) | (~spl29_3 | ~spl29_171)), 20.85/3.48 inference(superposition,[],[f6247,f411])). 20.85/3.48 tff(f6247,plain,( 20.85/3.48 ( ! [X1 : tree1] : (~mem(tree,t2tb2(X1),sF20)) ) | ~spl29_171), 20.85/3.48 inference(avatar_component_clause,[],[f6246])). 20.85/3.48 tff(f7810,plain,( 20.85/3.48 ~spl29_109 | ~spl29_171), 20.85/3.48 inference(avatar_contradiction_clause,[],[f7805])). 20.85/3.48 tff(f7805,plain,( 20.85/3.48 $false | (~spl29_109 | ~spl29_171)), 20.85/3.48 inference(resolution,[],[f6247,f2218])). 20.85/3.48 tff(f7802,plain,( 20.85/3.48 spl29_155 | spl29_159 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f7773,f557,f444,f399,f5233,f5218])). 20.85/3.48 tff(f5233,definition,( 20.85/3.48 spl29_159 <=> ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13) | ~all_trees1(X0,sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_159])],[avatar_definition])). 20.85/3.48 tff(f7773,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13) | ~mem(tree,t2tb2(X1),sF21)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6659,f2487])). 20.85/3.48 tff(f7801,plain,( 20.85/3.48 spl29_188 | spl29_155 | spl29_171 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f7769,f557,f444,f399,f6246,f5218,f7799])). 20.85/3.48 tff(f7799,definition,( 20.85/3.48 spl29_188 <=> ! [X0 : $int] : (~all_trees1(X0,tb2t1(sF22)) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_188])],[avatar_definition])). 20.85/3.48 tff(f7769,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6659,f2719])). 20.85/3.48 tff(f7420,plain,( 20.85/3.48 ~spl29_186 | ~spl29_187 | ~spl29_54 | ~spl29_157), 20.85/3.48 inference(avatar_split_clause,[],[f7407,f5225,f1192,f7417,f7413])). 20.85/3.48 tff(f7413,definition,( 20.85/3.48 spl29_186 <=> all_trees1($sum(1,length2(tree,sF26)),sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_186])],[avatar_definition])). 20.85/3.48 tff(f7417,definition,( 20.85/3.48 spl29_187 <=> all_trees1(length2(tree,sF20),sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_187])],[avatar_definition])). 20.85/3.48 tff(f5225,definition,( 20.85/3.48 spl29_157 <=> ! [X0 : $int] : (~all_trees1(X0,sK13) | ~all_trees1($sum(1,$sum(1,X0)),sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_157])],[avatar_definition])). 20.85/3.48 tff(f7407,plain,( 20.85/3.48 ~all_trees1(length2(tree,sF20),sK13) | ~all_trees1($sum(1,length2(tree,sF26)),sK13) | (~spl29_54 | ~spl29_157)), 20.85/3.48 inference(superposition,[],[f5226,f1194])). 20.85/3.48 tff(f5226,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,X0)),sK13) | ~all_trees1(X0,sK13)) ) | ~spl29_157), 20.85/3.48 inference(avatar_component_clause,[],[f5225])). 20.85/3.48 tff(f7191,plain,( 20.85/3.48 spl29_183 | ~spl29_120 | ~spl29_165), 20.85/3.48 inference(avatar_split_clause,[],[f7190,f5347,f2373,f6433])). 20.85/3.48 tff(f6433,definition,( 20.85/3.48 spl29_183 <=> mem(tree,t2tb2(empty1),cons(tree,t2tb2(empty1),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_183])],[avatar_definition])). 20.85/3.48 tff(f7190,plain,( 20.85/3.48 mem(tree,t2tb2(empty1),cons(tree,t2tb2(empty1),sF21)) | (~spl29_120 | ~spl29_165)), 20.85/3.48 inference(forward_demodulation,[],[f5348,f2375])). 20.85/3.48 tff(f2375,plain,( 20.85/3.48 t2tb2(empty1) = sF25 | ~spl29_120), 20.85/3.48 inference(avatar_component_clause,[],[f2373])). 20.85/3.48 tff(f7189,plain,( 20.85/3.48 spl29_183), 20.85/3.48 inference(avatar_contradiction_clause,[],[f7188])). 20.85/3.48 tff(f7188,plain,( 20.85/3.48 $false | spl29_183), 20.85/3.48 inference(subsumption_resolution,[],[f7185,f335])). 20.85/3.48 tff(f7185,plain,( 20.85/3.48 ~sort1(tree,t2tb2(empty1)) | spl29_183), 20.85/3.48 inference(resolution,[],[f6435,f397])). 20.85/3.48 tff(f6435,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),cons(tree,t2tb2(empty1),sF21)) | spl29_183), 20.85/3.48 inference(avatar_component_clause,[],[f6433])). 20.85/3.48 tff(f6683,plain,( 20.85/3.48 spl29_157 | spl29_155 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f6665,f557,f444,f399,f5218,f5225])). 20.85/3.48 tff(f6665,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1($sum(1,$sum(1,X0)),sK13) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6646,f2487])). 20.85/3.48 tff(f6682,plain,( 20.85/3.48 spl29_155 | spl29_174 | spl29_171 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f6661,f557,f444,f399,f6246,f6258,f5218])). 20.85/3.48 tff(f6258,definition,( 20.85/3.48 spl29_174 <=> ! [X0 : $int] : (~all_trees1($sum(1,$sum(1,X0)),sK13) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_174])],[avatar_definition])). 20.85/3.48 tff(f6661,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X1),sF20) | ~all_trees1($sum(1,$sum(1,X0)),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6646,f2719])). 20.85/3.48 tff(f6651,plain,( 20.85/3.48 spl29_171 | spl29_155 | spl29_176 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f6644,f557,f444,f399,f6278,f5218,f6246])). 20.85/3.48 tff(f6278,definition,( 20.85/3.48 spl29_176 <=> ! [X0 : $int] : (~all_trees1($sum(1,X0),sK13) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_176])],[avatar_definition])). 20.85/3.48 tff(f6644,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1($sum(1,X0),sK13) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X1),sF20)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(subsumption_resolution,[],[f6621,f263])). 20.85/3.48 tff(f6621,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1($sum(1,X0),sK13) | ~all_trees1(X0,tb2t1(sF22)) | empty1 = node1(X1,X2) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21)) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f6610,f2719])). 20.85/3.48 tff(f6582,plain,( 20.85/3.48 spl29_185 | ~spl29_102 | ~spl29_120), 20.85/3.48 inference(avatar_split_clause,[],[f6577,f2373,f2117,f6579])). 20.85/3.48 tff(f6579,definition,( 20.85/3.48 spl29_185 <=> mem(tree,t2tb2(empty1),cons(tree,t2tb2(empty1),nil(tree)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_185])],[avatar_definition])). 20.85/3.48 tff(f6577,plain,( 20.85/3.48 mem(tree,t2tb2(empty1),cons(tree,t2tb2(empty1),nil(tree))) | (~spl29_102 | ~spl29_120)), 20.85/3.48 inference(forward_demodulation,[],[f2119,f2375])). 20.85/3.48 tff(f2119,plain,( 20.85/3.48 mem(tree,sF25,cons(tree,t2tb2(empty1),nil(tree))) | ~spl29_102), 20.85/3.48 inference(avatar_component_clause,[],[f2117])). 20.85/3.48 tff(f6448,plain,( 20.85/3.48 spl29_184 | ~spl29_166), 20.85/3.48 inference(avatar_split_clause,[],[f6442,f5352,f6445])). 20.85/3.48 tff(f6445,definition,( 20.85/3.48 spl29_184 <=> distinct(tree,cons(tree,t2tb2(empty1),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_184])],[avatar_definition])). 20.85/3.48 tff(f5352,definition,( 20.85/3.48 spl29_166 <=> all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),sF21)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_166])],[avatar_definition])). 20.85/3.48 tff(f6442,plain,( 20.85/3.48 distinct(tree,cons(tree,t2tb2(empty1),sF21)) | ~spl29_166), 20.85/3.48 inference(resolution,[],[f5354,f717])). 20.85/3.48 tff(f717,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : $int] : (~all_trees1(X1,tb2t1(X0)) | distinct(tree,X0)) )), 20.85/3.48 inference(superposition,[],[f329,f318])). 20.85/3.48 tff(f329,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : list_tree] : (distinct(tree,t2tb1(X1)) | ~all_trees1(X0,X1)) )), 20.85/3.48 inference(cnf_transformation,[],[f230])). 20.85/3.48 tff(f5354,plain,( 20.85/3.48 all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),sF21))) | ~spl29_166), 20.85/3.48 inference(avatar_component_clause,[],[f5352])). 20.85/3.48 tff(f6436,plain,( 20.85/3.48 ~spl29_183 | ~spl29_120 | spl29_165), 20.85/3.48 inference(avatar_split_clause,[],[f6431,f5347,f2373,f6433])). 20.85/3.48 tff(f6431,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),cons(tree,t2tb2(empty1),sF21)) | (~spl29_120 | spl29_165)), 20.85/3.48 inference(forward_demodulation,[],[f5349,f2375])). 20.85/3.48 tff(f5349,plain,( 20.85/3.48 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF21)) | spl29_165), 20.85/3.48 inference(avatar_component_clause,[],[f5347])). 20.85/3.48 tff(f6313,plain,( 20.85/3.48 spl29_155 | spl29_179 | ~spl29_1 | ~spl29_3 | ~spl29_26), 20.85/3.48 inference(avatar_split_clause,[],[f6295,f531,f409,f399,f6297,f5218])). 20.85/3.48 tff(f6297,definition,( 20.85/3.48 spl29_179 <=> ! [X2 : $int,X0 : $int] : (~all_trees1(X2,sK13) | ~all_trees1(X0,tb2t1(sF22)) | X0 = X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_179])],[avatar_definition])). 20.85/3.48 tff(f6295,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X2,tb2t1(sF22)) | ~all_trees1(X0,sK13) | X0 = X2) ) | (~spl29_1 | ~spl29_3 | ~spl29_26)), 20.85/3.48 inference(subsumption_resolution,[],[f6276,f532])). 20.85/3.48 tff(f6276,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~mem(tree,sF25,sF20) | ~all_trees1(X0,sK13) | ~all_trees1(X2,tb2t1(sF22)) | X0 = X2) ) | (~spl29_1 | ~spl29_3)), 20.85/3.48 inference(forward_demodulation,[],[f6242,f411])). 20.85/3.48 tff(f6242,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (X0 = X2 | ~mem(tree,t2tb2(X1),sF21) | ~mem(tree,t2tb2(sK9),sF20) | ~all_trees1(X0,sK13) | ~all_trees1(X2,tb2t1(sF22))) ) | ~spl29_1), 20.85/3.48 inference(duplicate_literal_removal,[],[f6201])). 20.85/3.48 tff(f6201,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~all_trees1(X2,tb2t1(sF22)) | X0 = X2 | ~mem(tree,t2tb2(sK9),sF20) | ~all_trees1(X0,sK13) | ~mem(tree,t2tb2(X1),sF21) | ~mem(tree,t2tb2(X1),sF21)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2719,f2487])). 20.85/3.48 tff(f6311,plain,( 20.85/3.48 spl29_180 | spl29_181 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f6286,f557,f444,f399,f6304,f6301])). 20.85/3.48 tff(f6304,definition,( 20.85/3.48 spl29_181 <=> ! [X0 : $int] : (~all_trees1(X0,tb2t1(sF22)) | 0 = X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_181])],[avatar_definition])). 20.85/3.48 tff(f6286,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : tree1,X1 : tree1,X4 : tree1] : (~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(X1),sF21) | 0 = X2 | ~all_trees1(size1(X4),sK13) | ~all_trees1(X2,tb2t1(sF22)) | node1(node1(X0,X1),X3) != X4) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f6267,f446])). 20.85/3.48 tff(f6267,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : tree1,X1 : tree1,X4 : tree1] : (~mem(tree,t2tb2(X0),sF20) | node1(node1(X0,X1),X3) != X4 | ~all_trees1(X2,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(size1(X4),sK13) | size1(empty1) = X2) ) | (~spl29_1 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f6203,f558])). 20.85/3.48 tff(f6310,plain,( 20.85/3.48 spl29_182 | spl29_155 | spl29_177 | ~spl29_1 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f6285,f557,f399,f6288,f5218,f6308])). 20.85/3.48 tff(f6308,definition,( 20.85/3.48 spl29_182 <=> ! [X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | empty1 = X1)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_182])],[avatar_definition])). 20.85/3.48 tff(f6288,definition,( 20.85/3.48 spl29_177 <=> ! [X0 : $int] : (~all_trees1(X0,sK13) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_177])],[avatar_definition])). 20.85/3.48 tff(f6285,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20) | ~all_trees1(X0,sK13) | empty1 = X1) ) | (~spl29_1 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f6266,f275])). 20.85/3.48 tff(f6266,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22)) | empty1 = node_proj_11(node1(X1,X2)) | ~all_trees1(X0,sK13) | ~mem(tree,t2tb2(X1),sF20)) ) | (~spl29_1 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f6229,f558])). 20.85/3.48 tff(f6229,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (node_proj_11(node1(X1,X2)) = sK9 | ~all_trees1(X0,sK13) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X1),sF20)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2053,f2719])). 20.85/3.48 tff(f6306,plain,( 20.85/3.48 spl29_180 | spl29_181 | ~spl29_1 | ~spl29_10 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f6282,f557,f444,f399,f6304,f6301])). 20.85/3.48 tff(f6282,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : tree1,X4 : tree1] : (~all_trees1(size1(X4),sK13) | ~all_trees1(X0,tb2t1(sF22)) | node1(node1(X1,X2),X3) != X4 | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21) | 0 = X0) ) | (~spl29_1 | ~spl29_10 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f6261,f446])). 20.85/3.48 tff(f6261,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : tree1,X4 : tree1] : (~mem(tree,t2tb2(X1),sF20) | size1(empty1) = X0 | node1(node1(X1,X2),X3) != X4 | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22)) | ~all_trees1(size1(X4),sK13)) ) | (~spl29_1 | ~spl29_30)), 20.85/3.48 inference(forward_demodulation,[],[f6230,f558])). 20.85/3.48 tff(f6299,plain,( 20.85/3.48 spl29_155 | spl29_179 | ~spl29_1 | ~spl29_3 | ~spl29_26), 20.85/3.48 inference(avatar_split_clause,[],[f6281,f531,f409,f399,f6297,f5218])). 20.85/3.48 tff(f6281,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~all_trees1(X2,sK13) | ~all_trees1(X0,tb2t1(sF22)) | X0 = X2 | ~mem(tree,t2tb2(X1),sF21)) ) | (~spl29_1 | ~spl29_3 | ~spl29_26)), 20.85/3.48 inference(subsumption_resolution,[],[f6244,f532])). 20.85/3.48 tff(f6244,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF21) | X0 = X2 | ~mem(tree,sF25,sF20) | ~all_trees1(X2,sK13)) ) | (~spl29_1 | ~spl29_3)), 20.85/3.48 inference(forward_demodulation,[],[f6236,f411])). 20.85/3.48 tff(f6236,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~all_trees1(X2,sK13) | X0 = X2 | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,tb2t1(sF22))) ) | ~spl29_1), 20.85/3.48 inference(duplicate_literal_removal,[],[f6214])). 20.85/3.48 tff(f6214,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X2,sK13) | ~all_trees1(X0,tb2t1(sF22)) | X0 = X2 | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X1),sF21)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2487,f2719])). 20.85/3.48 tff(f6293,plain,( 20.85/3.48 spl29_177 | spl29_178 | ~spl29_1 | ~spl29_30 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f6273,f1755,f557,f399,f6291,f6288])). 20.85/3.48 tff(f6291,definition,( 20.85/3.48 spl29_178 <=> ! [X2 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21) | empty1 = sK12(node1(X1,X2)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_178])],[avatar_definition])). 20.85/3.48 tff(f6273,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | empty1 = sK12(node1(X1,X2)) | ~all_trees1(X0,sK13) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22))) ) | (~spl29_1 | ~spl29_30 | ~spl29_70)), 20.85/3.48 inference(forward_demodulation,[],[f6231,f558])). 20.85/3.48 tff(f6231,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22)) | sK9 = sK12(node1(X1,X2)) | ~mem(tree,t2tb2(X1),sF20)) ) | (~spl29_1 | ~spl29_70)), 20.85/3.48 inference(superposition,[],[f2056,f2719])). 20.85/3.48 tff(f6280,plain,( 20.85/3.48 spl29_176 | spl29_155 | spl29_171 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f6234,f2519,f6246,f5218,f6278])). 20.85/3.48 tff(f6234,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X2),sF21) | ~all_trees1($sum(1,X0),sK13) | ~mem(tree,t2tb2(X1),sF20) | ~all_trees1(X0,tb2t1(sF22))) ) | ~spl29_136), 20.85/3.48 inference(superposition,[],[f2520,f2719])). 20.85/3.48 tff(f6272,plain,( 20.85/3.48 spl29_175 | spl29_155 | spl29_171), 20.85/3.48 inference(avatar_split_clause,[],[f6219,f6246,f5218,f6270])). 20.85/3.48 tff(f6270,definition,( 20.85/3.48 spl29_175 <=> ! [X0 : $int] : (~$less(X0,0) | ~all_trees1(X0,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_175])],[avatar_definition])). 20.85/3.48 tff(f6219,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X2),sF21) | ~$less(X0,0) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20)) )), 20.85/3.48 inference(superposition,[],[f333,f2719])). 20.85/3.48 tff(f6260,plain,( 20.85/3.48 spl29_171 | spl29_174 | spl29_155 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f6235,f2519,f444,f5218,f6258,f6246])). 20.85/3.48 tff(f6235,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~all_trees1($sum(1,$sum(1,X0)),sK13) | ~mem(tree,t2tb2(X2),sF21) | ~all_trees1(X0,tb2t1(sF22))) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f5871,f2719])). 20.85/3.48 tff(f5871,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,size1(X0))),sK13)) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f1092])). 20.85/3.48 tff(f6256,plain,( 20.85/3.48 spl29_171 | spl29_173 | spl29_155), 20.85/3.48 inference(avatar_split_clause,[],[f6238,f5218,f6254,f6246])). 20.85/3.48 tff(f6254,definition,( 20.85/3.48 spl29_173 <=> ! [X0 : $int,X3 : $int] : (X0 = X3 | ~all_trees1(X0,tb2t1(sF22)) | ~all_trees1(X3,tb2t1(sF22)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_173])],[avatar_definition])). 20.85/3.48 tff(f6238,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X2),sF21) | X0 = X3 | ~all_trees1(X3,tb2t1(sF22)) | ~all_trees1(X0,tb2t1(sF22))) )), 20.85/3.48 inference(duplicate_literal_removal,[],[f6197])). 20.85/3.48 tff(f6197,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : $int,X0 : $int,X1 : tree1] : (~all_trees1(X0,tb2t1(sF22)) | X0 = X3 | ~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X2),sF21) | ~mem(tree,t2tb2(X1),sF20) | ~mem(tree,t2tb2(X1),sF20) | ~all_trees1(X3,tb2t1(sF22))) )), 20.85/3.48 inference(superposition,[],[f2719,f2719])). 20.85/3.48 tff(f6251,plain,( 20.85/3.48 spl29_171 | spl29_155 | spl29_172), 20.85/3.48 inference(avatar_split_clause,[],[f6227,f6249,f5218,f6246])). 20.85/3.48 tff(f6249,definition,( 20.85/3.48 spl29_172 <=> ! [X4 : $int,X0 : $int,X3 : list_tree] : (~all_trees1(X4,X3) | ~all_trees1(X0,X3) | ~all_trees1(X0,tb2t1(sF22)) | X0 = X4)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_172])],[avatar_definition])). 20.85/3.48 tff(f6227,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : list_tree,X0 : $int,X1 : tree1,X4 : $int] : (~all_trees1(X4,X3) | ~all_trees1(X0,tb2t1(sF22)) | ~mem(tree,t2tb2(X1),sF20) | X0 = X4 | ~all_trees1(X0,X3) | ~mem(tree,t2tb2(X2),sF21)) )), 20.85/3.48 inference(superposition,[],[f1225,f2719])). 20.85/3.48 tff(f6168,plain,( 20.85/3.48 spl29_155 | spl29_157 | ~spl29_1 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f6151,f2519,f444,f399,f5225,f5218])). 20.85/3.48 tff(f6151,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1($sum(1,$sum(1,X0)),sK13) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f5871,f2487])). 20.85/3.48 tff(f5922,plain,( 20.85/3.48 spl29_170 | ~spl29_140), 20.85/3.48 inference(avatar_split_clause,[],[f5911,f2624,f5919])). 20.85/3.48 tff(f5911,plain,( 20.85/3.48 t2tb2(empty1) = cons_proj_11(tree,sF26) | ~spl29_140), 20.85/3.48 inference(subsumption_resolution,[],[f5897,f335])). 20.85/3.48 tff(f5897,plain,( 20.85/3.48 ~sort1(tree,t2tb2(empty1)) | t2tb2(empty1) = cons_proj_11(tree,sF26) | ~spl29_140), 20.85/3.48 inference(superposition,[],[f308,f2626])). 20.85/3.48 tff(f2626,plain,( 20.85/3.48 sF26 = cons(tree,t2tb2(empty1),sF20) | ~spl29_140), 20.85/3.48 inference(avatar_component_clause,[],[f2624])). 20.85/3.48 tff(f5889,plain,( 20.85/3.48 spl29_160 | spl29_155 | ~spl29_1 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f5876,f2519,f399,f5218,f5237])). 20.85/3.48 tff(f5237,definition,( 20.85/3.48 spl29_160 <=> ! [X0 : $int] : (~all_trees1($sum(1,X0),sK13) | ~all_trees1(X0,sK13))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_160])],[avatar_definition])). 20.85/3.48 tff(f5876,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1($sum(1,X0),sK13) | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f2487])). 20.85/3.48 tff(f5702,plain,( 20.85/3.48 spl29_163 | ~spl29_167), 20.85/3.48 inference(avatar_contradiction_clause,[],[f5701])). 20.85/3.48 tff(f5701,plain,( 20.85/3.48 $false | (spl29_163 | ~spl29_167)), 20.85/3.48 inference(subsumption_resolution,[],[f5700,f5305])). 20.85/3.48 tff(f5700,plain,( 20.85/3.48 nil(tree) = sF21 | ~spl29_167), 20.85/3.48 inference(trivial_inequality_removal,[],[f5681])). 20.85/3.48 tff(f5681,plain,( 20.85/3.48 0 != 0 | nil(tree) = sF21 | ~spl29_167), 20.85/3.48 inference(superposition,[],[f262,f5360])). 20.85/3.48 tff(f5360,plain,( 20.85/3.48 0 = length2(tree,sF21) | ~spl29_167), 20.85/3.48 inference(avatar_component_clause,[],[f5358])). 20.85/3.48 tff(f5358,definition,( 20.85/3.48 spl29_167 <=> 0 = length2(tree,sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_167])],[avatar_definition])). 20.85/3.48 tff(f5492,plain,( 20.85/3.48 spl29_118 | spl29_150 | ~spl29_15 | ~spl29_30 | ~spl29_105), 20.85/3.48 inference(avatar_split_clause,[],[f5491,f2134,f557,f469,f3275,f2345])). 20.85/3.48 tff(f5491,plain,( 20.85/3.48 distinct(tree,sK17(sF23,tree)) | nil(tree) = sF23 | (~spl29_15 | ~spl29_30 | ~spl29_105)), 20.85/3.48 inference(subsumption_resolution,[],[f5483,f471])). 20.85/3.48 tff(f5483,plain,( 20.85/3.48 distinct(tree,sK17(sF23,tree)) | nil(tree) = sF23 | ~distinct(tree,sF23) | (~spl29_30 | ~spl29_105)), 20.85/3.48 inference(resolution,[],[f5454,f1400])). 20.85/3.48 tff(f5454,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23)) ) | (~spl29_30 | ~spl29_105)), 20.85/3.48 inference(subsumption_resolution,[],[f5434,f2135])). 20.85/3.48 tff(f2135,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF23)) ) | ~spl29_105), 20.85/3.48 inference(avatar_component_clause,[],[f2134])). 20.85/3.48 tff(f5434,plain,( 20.85/3.48 ( ! [X0 : uni] : (tb2t2(X0) = node1(empty1,node_proj_21(tb2t2(X0))) | ~mem(tree,X0,sF23)) ) | ~spl29_30), 20.85/3.48 inference(superposition,[],[f855,f558])). 20.85/3.48 tff(f5490,plain,( 20.85/3.48 spl29_118 | ~spl29_30 | ~spl29_105), 20.85/3.48 inference(avatar_split_clause,[],[f5473,f2134,f557,f2345])). 20.85/3.48 tff(f5473,plain,( 20.85/3.48 nil(tree) = sF23 | (~spl29_30 | ~spl29_105)), 20.85/3.48 inference(resolution,[],[f5454,f1252])). 20.85/3.48 tff(f5486,plain,( 20.85/3.48 spl29_155 | ~spl29_30 | ~spl29_105), 20.85/3.48 inference(avatar_split_clause,[],[f5474,f2134,f557,f5218])). 20.85/3.48 tff(f5474,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21)) ) | (~spl29_30 | ~spl29_105)), 20.85/3.48 inference(resolution,[],[f5454,f390])). 20.85/3.48 tff(f5425,plain,( 20.85/3.48 spl29_136 | ~spl29_1 | ~spl29_10 | ~spl29_105), 20.85/3.48 inference(avatar_split_clause,[],[f4132,f2134,f444,f399,f2519])). 20.85/3.48 tff(f4132,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_105)), 20.85/3.48 inference(forward_demodulation,[],[f4131,f1093])). 20.85/3.48 tff(f4131,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(node1(empty1,X0)),sK13)) ) | (~spl29_1 | ~spl29_105)), 20.85/3.48 inference(equality_resolution,[],[f4127])). 20.85/3.48 tff(f4127,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (node1(empty1,X0) != X1 | ~all_trees1(size1(X1),sK13)) ) | (~spl29_1 | ~spl29_105)), 20.85/3.48 inference(resolution,[],[f3896,f981])). 20.85/3.48 tff(f3896,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(empty1,X1) != X0) ) | ~spl29_105), 20.85/3.48 inference(superposition,[],[f2135,f320])). 20.85/3.48 tff(f5424,plain,( 20.85/3.48 spl29_154 | ~spl29_30 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5126,f399,f557,f5163])). 20.85/3.48 tff(f5126,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~all_trees1(size1(X0),sK13) | node1(X0,X1) != X2 | empty1 != sK9 | ~all_trees1(size1(X2),sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2051,f2054])). 20.85/3.48 tff(f5422,plain,( 20.85/3.48 spl29_30 | ~spl29_45 | ~spl29_120), 20.85/3.48 inference(avatar_split_clause,[],[f2622,f2373,f651,f557])). 20.85/3.48 tff(f2622,plain,( 20.85/3.48 empty1 = sK9 | (~spl29_45 | ~spl29_120)), 20.85/3.48 inference(forward_demodulation,[],[f2613,f320])). 20.85/3.48 tff(f2613,plain,( 20.85/3.48 sK9 = tb2t2(t2tb2(empty1)) | (~spl29_45 | ~spl29_120)), 20.85/3.48 inference(superposition,[],[f653,f2375])). 20.85/3.48 tff(f5419,plain,( 20.85/3.48 spl29_169 | ~spl29_30 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5122,f399,f557,f5417])). 20.85/3.48 tff(f5122,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~$less(0,size1(X0)) | node1(X0,X1) != X2 | ~all_trees1(size1(X2),sK13) | empty1 != sK9) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f997,f2054])). 20.85/3.48 tff(f5415,plain,( 20.85/3.48 spl29_152 | spl29_120 | ~spl29_27 | ~spl29_102), 20.85/3.48 inference(avatar_split_clause,[],[f3471,f2117,f536,f2373,f3474])). 20.85/3.48 tff(f3471,plain,( 20.85/3.48 mem(tree,sF25,nil(tree)) | t2tb2(empty1) = sF25 | (~spl29_27 | ~spl29_102)), 20.85/3.48 inference(subsumption_resolution,[],[f3470,f335])). 20.85/3.48 tff(f3470,plain,( 20.85/3.48 ~sort1(tree,t2tb2(empty1)) | t2tb2(empty1) = sF25 | mem(tree,sF25,nil(tree)) | (~spl29_27 | ~spl29_102)), 20.85/3.48 inference(subsumption_resolution,[],[f3469,f538])). 20.85/3.48 tff(f3469,plain,( 20.85/3.48 ~sort1(tree,sF25) | mem(tree,sF25,nil(tree)) | ~sort1(tree,t2tb2(empty1)) | t2tb2(empty1) = sF25 | ~spl29_102), 20.85/3.48 inference(resolution,[],[f2119,f357])). 20.85/3.48 tff(f5412,plain,( 20.85/3.48 spl29_150 | spl29_168 | ~spl29_15 | ~spl29_66 | ~spl29_155 | ~spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f5406,f5304,f5218,f1739,f469,f5408,f3275])). 20.85/3.48 tff(f5408,definition,( 20.85/3.48 spl29_168 <=> sF21 = sF23), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_168])],[avatar_definition])). 20.85/3.48 tff(f5406,plain,( 20.85/3.48 distinct(tree,sK17(sF23,tree)) | sF21 = sF23 | (~spl29_15 | ~spl29_66 | ~spl29_155 | ~spl29_163)), 20.85/3.48 inference(forward_demodulation,[],[f5400,f5306])). 20.85/3.48 tff(f5306,plain,( 20.85/3.48 nil(tree) = sF21 | ~spl29_163), 20.85/3.48 inference(avatar_component_clause,[],[f5304])). 20.85/3.48 tff(f5400,plain,( 20.85/3.48 distinct(tree,sK17(sF23,tree)) | nil(tree) = sF23 | (~spl29_15 | ~spl29_66 | ~spl29_155)), 20.85/3.48 inference(subsumption_resolution,[],[f5398,f471])). 20.85/3.48 tff(f5398,plain,( 20.85/3.48 ~distinct(tree,sF23) | nil(tree) = sF23 | distinct(tree,sK17(sF23,tree)) | (~spl29_66 | ~spl29_155)), 20.85/3.48 inference(resolution,[],[f5251,f1400])). 20.85/3.48 tff(f5251,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23)) ) | (~spl29_66 | ~spl29_155)), 20.85/3.48 inference(resolution,[],[f5219,f4808])). 20.85/3.48 tff(f5219,plain,( 20.85/3.48 ( ! [X1 : tree1] : (~mem(tree,t2tb2(X1),sF21)) ) | ~spl29_155), 20.85/3.48 inference(avatar_component_clause,[],[f5218])). 20.85/3.48 tff(f5411,plain,( 20.85/3.48 spl29_168 | ~spl29_66 | ~spl29_155 | ~spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f5401,f5304,f5218,f1739,f5408])). 20.85/3.48 tff(f5401,plain,( 20.85/3.48 sF21 = sF23 | (~spl29_66 | ~spl29_155 | ~spl29_163)), 20.85/3.48 inference(forward_demodulation,[],[f5388,f5306])). 20.85/3.48 tff(f5388,plain,( 20.85/3.48 nil(tree) = sF23 | (~spl29_66 | ~spl29_155)), 20.85/3.48 inference(resolution,[],[f5251,f1252])). 20.85/3.48 tff(f5361,plain,( 20.85/3.48 spl29_167 | ~spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f5336,f5304,f5358])). 20.85/3.48 tff(f5336,plain,( 20.85/3.48 0 = length2(tree,sF21) | ~spl29_163), 20.85/3.48 inference(superposition,[],[f350,f5306])). 20.85/3.48 tff(f5355,plain,( 20.85/3.48 spl29_166 | ~spl29_11 | ~spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f5325,f5304,f449,f5352])). 20.85/3.48 tff(f5325,plain,( 20.85/3.48 all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),sF21))) | (~spl29_11 | ~spl29_163)), 20.85/3.48 inference(superposition,[],[f451,f5306])). 20.85/3.48 tff(f5350,plain,( 20.85/3.48 ~spl29_165 | spl29_102 | ~spl29_163), 20.85/3.48 inference(avatar_split_clause,[],[f5324,f5304,f2117,f5347])). 20.85/3.48 tff(f5324,plain,( 20.85/3.48 ~mem(tree,sF25,cons(tree,t2tb2(empty1),sF21)) | (spl29_102 | ~spl29_163)), 20.85/3.48 inference(superposition,[],[f2118,f5306])). 20.85/3.48 tff(f5317,plain,( 20.85/3.48 spl29_163 | spl29_164 | ~spl29_18 | ~spl29_155), 20.85/3.48 inference(avatar_split_clause,[],[f5311,f5218,f484,f5314,f5304])). 20.85/3.48 tff(f5311,plain,( 20.85/3.48 distinct(tree,sK17(sF21,tree)) | nil(tree) = sF21 | (~spl29_18 | ~spl29_155)), 20.85/3.48 inference(subsumption_resolution,[],[f5301,f486])). 20.85/3.48 tff(f5301,plain,( 20.85/3.48 ~distinct(tree,sF21) | nil(tree) = sF21 | distinct(tree,sK17(sF21,tree)) | ~spl29_155), 20.85/3.48 inference(resolution,[],[f5255,f1400])). 20.85/3.48 tff(f5255,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF21)) ) | ~spl29_155), 20.85/3.48 inference(superposition,[],[f5219,f337])). 20.85/3.48 tff(f5307,plain,( 20.85/3.48 spl29_163 | ~spl29_155), 20.85/3.48 inference(avatar_split_clause,[],[f5288,f5218,f5304])). 20.85/3.48 tff(f5288,plain,( 20.85/3.48 nil(tree) = sF21 | ~spl29_155), 20.85/3.48 inference(resolution,[],[f5255,f1252])). 20.85/3.48 tff(f5248,plain,( 20.85/3.48 spl29_162 | spl29_155 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5205,f399,f5218,f5246])). 20.85/3.48 tff(f5205,plain,( 20.85/3.48 ( ! [X2 : list_tree,X3 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | X0 = X3 | ~all_trees1(X0,X2) | ~all_trees1(X3,X2) | ~all_trees1(X0,sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f1225,f2487])). 20.85/3.48 tff(f5244,plain,( 20.85/3.48 spl29_158 | spl29_130 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5187,f399,f2462,f5229])). 20.85/3.48 tff(f5229,definition,( 20.85/3.48 spl29_158 <=> ! [X2 : tree1,X1 : tree1,X3 : tree1] : (node1(node1(sK9,X1),X2) != X3 | ~all_trees1(size1(X3),sK13) | ~mem(tree,t2tb2(X1),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_158])],[avatar_definition])). 20.85/3.48 tff(f5187,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : tree1,X1 : $int] : (size1(sK9) = X1 | ~mem(tree,t2tb2(X0),sF21) | ~all_trees1(size1(X3),sK13) | node1(node1(sK9,X0),X2) != X3 | ~all_trees1(X1,sK13)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2487,f2054])). 20.85/3.48 tff(f5243,plain,( 20.85/3.48 spl29_155 | spl29_161 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5197,f399,f5241,f5218])). 20.85/3.48 tff(f5241,definition,( 20.85/3.48 spl29_161 <=> ! [X0 : $int] : (~all_trees1(X0,sK13) | ~$less(X0,0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_161])],[avatar_definition])). 20.85/3.48 tff(f5197,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,sK13) | ~$less(X0,0)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f333,f2487])). 20.85/3.48 tff(f5239,plain,( 20.85/3.48 spl29_155 | spl29_160 | ~spl29_1 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f5210,f2519,f399,f5237,f5218])). 20.85/3.48 tff(f5210,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1($sum(1,X0),sK13) | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f2487])). 20.85/3.48 tff(f5235,plain,( 20.85/3.48 spl29_159 | spl29_155 | ~spl29_1 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f5212,f2519,f444,f399,f5218,f5233])). 20.85/3.48 tff(f5212,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1($sum(1,$sum(1,$sum(1,X0))),sK13) | ~all_trees1(X0,sK13)) ) | (~spl29_1 | ~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f3142,f2487])). 20.85/3.48 tff(f3142,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,$sum(1,size1(X0)))),sK13)) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2992,f1092])). 20.85/3.48 tff(f2992,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,$sum(1,size1(X0))),sK13)) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f1092])). 20.85/3.48 tff(f5231,plain,( 20.85/3.48 spl29_130 | spl29_158 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5208,f399,f5229,f2462])). 20.85/3.48 tff(f5208,plain,( 20.85/3.48 ( ! [X2 : tree1,X3 : tree1,X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | node1(node1(sK9,X1),X2) != X3 | ~mem(tree,t2tb2(X1),sF21) | ~all_trees1(size1(X3),sK13) | size1(sK9) = X0) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2054,f2487])). 20.85/3.48 tff(f5227,plain,( 20.85/3.48 spl29_157 | spl29_155 | ~spl29_1 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f5211,f2519,f444,f399,f5218,f5225])). 20.85/3.48 tff(f5211,plain,( 20.85/3.48 ( ! [X0 : $int,X1 : tree1] : (~all_trees1(X0,sK13) | ~all_trees1($sum(1,$sum(1,X0)),sK13) | ~mem(tree,t2tb2(X1),sF21)) ) | (~spl29_1 | ~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2992,f2487])). 20.85/3.48 tff(f5223,plain,( 20.85/3.48 spl29_155 | spl29_156 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f5215,f399,f5221,f5218])). 20.85/3.48 tff(f5221,definition,( 20.85/3.48 spl29_156 <=> ! [X2 : $int,X0 : $int] : (~all_trees1(X2,sK13) | ~all_trees1(X0,sK13) | X0 = X2)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_156])],[avatar_definition])). 20.85/3.48 tff(f5215,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | ~all_trees1(X2,sK13) | X0 = X2 | ~all_trees1(X0,sK13)) ) | ~spl29_1), 20.85/3.48 inference(duplicate_literal_removal,[],[f5185])). 20.85/3.48 tff(f5185,plain,( 20.85/3.48 ( ! [X2 : $int,X0 : $int,X1 : tree1] : (~mem(tree,t2tb2(X1),sF21) | X0 = X2 | ~all_trees1(X0,sK13) | ~all_trees1(X2,sK13) | ~mem(tree,t2tb2(X1),sF21)) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2487,f2487])). 20.85/3.48 tff(f5171,plain,( 20.85/3.48 spl29_154 | ~spl29_1 | spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f5167,f2419,f399,f5163])). 20.85/3.48 tff(f2419,definition,( 20.85/3.48 spl29_122 <=> sK9 = node_proj_11(sK9)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_122])],[avatar_definition])). 20.85/3.48 tff(f5167,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~all_trees1(size1(X0),sK13) | ~all_trees1(size1(X2),sK13) | node1(X0,X1) != X2) ) | (~spl29_1 | spl29_122)), 20.85/3.48 inference(subsumption_resolution,[],[f5127,f2420])). 20.85/3.48 tff(f2420,plain,( 20.85/3.48 sK9 != node_proj_11(sK9) | spl29_122), 20.85/3.48 inference(avatar_component_clause,[],[f2419])). 20.85/3.48 tff(f5127,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (~all_trees1(size1(X0),sK13) | ~all_trees1(size1(X2),sK13) | sK9 = node_proj_11(sK9) | node1(X0,X1) != X2) ) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f2053,f2054])). 20.85/3.48 tff(f5165,plain,( 20.85/3.48 spl29_154 | spl29_124 | ~spl29_1 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f5128,f1755,f399,f2428,f5163])). 20.85/3.48 tff(f2428,definition,( 20.85/3.48 spl29_124 <=> sK12(sK9) = sK9), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_124])],[avatar_definition])). 20.85/3.48 tff(f5128,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : tree1,X1 : tree1] : (node1(X0,X1) != X2 | sK12(sK9) = sK9 | ~all_trees1(size1(X2),sK13) | ~all_trees1(size1(X0),sK13)) ) | (~spl29_1 | ~spl29_70)), 20.85/3.48 inference(superposition,[],[f2056,f2054])). 20.85/3.48 tff(f4601,plain,( 20.85/3.48 spl29_82 | ~spl29_3 | ~spl29_26 | ~spl29_72), 20.85/3.48 inference(avatar_split_clause,[],[f4599,f1763,f531,f409,f1803])). 20.85/3.48 tff(f1763,definition,( 20.85/3.48 spl29_72 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK9,sK11(X0)) = X0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_72])],[avatar_definition])). 20.85/3.48 tff(f4599,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | (~spl29_3 | ~spl29_26 | ~spl29_72)), 20.85/3.48 inference(subsumption_resolution,[],[f4596,f532])). 20.85/3.48 tff(f4596,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | (~spl29_3 | ~spl29_72)), 20.85/3.48 inference(forward_demodulation,[],[f4594,f411])). 20.85/3.48 tff(f4594,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | ~spl29_72), 20.85/3.48 inference(duplicate_literal_removal,[],[f4593])). 20.85/3.48 tff(f4593,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK11(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | ~spl29_72), 20.85/3.48 inference(superposition,[],[f779,f1764])). 20.85/3.48 tff(f1764,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_72), 20.85/3.48 inference(avatar_component_clause,[],[f1763])). 20.85/3.48 tff(f4400,plain,( 20.85/3.48 spl29_79 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f4390,f522,f1791])). 20.85/3.48 tff(f1791,definition,( 20.85/3.48 spl29_79 <=> ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | sK11(tb2t2(X0)) = sK14(tb2t2(X0)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_79])],[avatar_definition])). 20.85/3.48 tff(f4390,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | sK11(tb2t2(X0)) = sK14(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | ~spl29_25), 20.85/3.48 inference(superposition,[],[f2014,f875])). 20.85/3.48 tff(f875,plain,( 20.85/3.48 ( ! [X0 : uni] : (node1(sK9,sK14(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(duplicate_literal_removal,[],[f862])). 20.85/3.48 tff(f862,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,X0,sF23) | node1(sK9,sK14(tb2t2(X0))) = tb2t2(X0)) )), 20.85/3.48 inference(superposition,[],[f855,f681])). 20.85/3.48 tff(f681,plain,( 20.85/3.48 ( ! [X0 : uni] : (node_proj_21(tb2t2(X0)) = sK14(tb2t2(X0)) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f666,f337])). 20.85/3.48 tff(f2014,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK11(node1(sK9,X0)) = X0 | ~mem(tree,t2tb2(X0),sF21)) ) | ~spl29_25), 20.85/3.48 inference(forward_demodulation,[],[f2011,f266])). 20.85/3.48 tff(f2011,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | node_proj_21(node1(sK9,X0)) = sK11(node1(sK9,X0))) ) | ~spl29_25), 20.85/3.48 inference(resolution,[],[f1865,f390])). 20.85/3.48 tff(f4399,plain,( 20.85/3.48 spl29_77 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f4388,f522,f1783])). 20.85/3.48 tff(f1783,definition,( 20.85/3.48 spl29_77 <=> ! [X0 : tree1] : (~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | sK11(X0) = sK1(X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_77])],[avatar_definition])). 20.85/3.48 tff(f4388,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK1(X0)),sF21) | sK11(X0) = sK1(X0)) ) | ~spl29_25), 20.85/3.48 inference(superposition,[],[f2014,f1173])). 20.85/3.48 tff(f1173,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,sK1(X0)) = X0 | ~$less(0,size1(X0)) | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f879,f249])). 20.85/3.48 tff(f879,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,t2tb2(node1(X1,X0)),sF23) | node1(X1,X0) = node1(sK9,X0)) )), 20.85/3.48 inference(superposition,[],[f860,f266])). 20.85/3.48 tff(f3920,plain,( 20.85/3.48 ~spl29_153 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f3915,f2519,f444,f3917])). 20.85/3.48 tff(f3917,definition,( 20.85/3.48 spl29_153 <=> all_trees1(3,sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_153])],[avatar_definition])). 20.85/3.48 tff(f3915,plain,( 20.85/3.48 ~all_trees1(3,sK13) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(evaluation,[],[f3903])). 20.85/3.48 tff(f3903,plain,( 20.85/3.48 ~all_trees1($sum(1,$sum(1,$sum(1,0))),sK13) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f3142,f446])). 20.85/3.48 tff(f3810,plain,( 20.85/3.48 spl29_105 | ~spl29_25 | ~spl29_60), 20.85/3.48 inference(avatar_split_clause,[],[f2121,f1665,f522,f2134])). 20.85/3.48 tff(f1665,definition,( 20.85/3.48 spl29_60 <=> ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF23) | ~mem(tree,X0,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_60])],[avatar_definition])). 20.85/3.48 tff(f2121,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~mem(tree,X0,sF23) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_25 | ~spl29_60)), 20.85/3.48 inference(subsumption_resolution,[],[f1666,f1870])). 20.85/3.48 tff(f1666,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~mem(tree,X0,sF23) | node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22)) ) | ~spl29_60), 20.85/3.48 inference(avatar_component_clause,[],[f1665])). 20.85/3.48 tff(f3477,plain,( 20.85/3.48 spl29_152 | ~spl29_27 | ~spl29_102 | spl29_120), 20.85/3.48 inference(avatar_split_clause,[],[f3472,f2373,f2117,f536,f3474])). 20.85/3.48 tff(f3472,plain,( 20.85/3.48 mem(tree,sF25,nil(tree)) | (~spl29_27 | ~spl29_102 | spl29_120)), 20.85/3.48 inference(subsumption_resolution,[],[f3471,f2374])). 20.85/3.48 tff(f3314,plain,( 20.85/3.48 spl29_119 | ~spl29_3 | ~spl29_45 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f3311,f1661,f651,f409,f2362])). 20.85/3.48 tff(f2362,definition,( 20.85/3.48 spl29_119 <=> ! [X2 : $int,X1 : list_tree] : (0 = X2 | ~all_trees1(X2,X1) | ~all_trees1(0,X1))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_119])],[avatar_definition])). 20.85/3.48 tff(f3311,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(0,X0) | ~all_trees1(X1,X0) | 0 = X1) ) | (~spl29_3 | ~spl29_45 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f3308,f1663])). 20.85/3.48 tff(f1663,plain,( 20.85/3.48 0 = size1(sK9) | ~spl29_59), 20.85/3.48 inference(avatar_component_clause,[],[f1661])). 20.85/3.48 tff(f3308,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(0,X0) | ~all_trees1(X1,X0) | size1(sK9) = X1) ) | (~spl29_3 | ~spl29_45 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f3300,f653])). 20.85/3.48 tff(f3300,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(X1,X0) | ~all_trees1(0,X0) | size1(tb2t2(sF25)) = X1) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(resolution,[],[f3214,f1227])). 20.85/3.48 tff(f3214,plain,( 20.85/3.48 ( ! [X0 : list_tree] : (mem(tree,sF25,t2tb1(X0)) | ~all_trees1(0,X0)) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(superposition,[],[f2770,f271])). 20.85/3.48 tff(f271,plain,( 20.85/3.48 ( ! [X0 : list_tree] : (tb2t1(t2tb1(X0)) = X0) )), 20.85/3.48 inference(cnf_transformation,[],[f122])). 20.85/3.48 tff(f122,plain,( 20.85/3.48 ! [X0 : list_tree] : tb2t1(t2tb1(X0)) = X0), 20.85/3.48 inference(rectify,[],[f10])). 20.85/3.48 tff(f10,axiom,( 20.85/3.48 ! [X10 : list_tree] : tb2t1(t2tb1(X10)) = X10), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f2770,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(0,tb2t1(X0)) | mem(tree,sF25,X0)) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f2762,f411])). 20.85/3.48 tff(f2762,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(0,tb2t1(X0)) | mem(tree,t2tb2(sK9),X0)) ) | ~spl29_59), 20.85/3.48 inference(superposition,[],[f975,f1663])). 20.85/3.48 tff(f3313,plain,( 20.85/3.48 spl29_119 | ~spl29_3 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f3310,f1661,f409,f2362])). 20.85/3.48 tff(f3310,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(0,X0) | ~all_trees1(X1,X0) | 0 = X1) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f3299,f1663])). 20.85/3.48 tff(f3299,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (~all_trees1(X1,X0) | size1(sK9) = X1 | ~all_trees1(0,X0)) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(resolution,[],[f3214,f1226])). 20.85/3.48 tff(f3282,plain,( 20.85/3.48 spl29_150 | ~spl29_151 | spl29_118 | ~spl29_15), 20.85/3.48 inference(avatar_split_clause,[],[f3263,f469,f2345,f3279,f3275])). 20.85/3.48 tff(f3279,definition,( 20.85/3.48 spl29_151 <=> empty1 = tb2t2(sK19(sF23,tree))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_151])],[avatar_definition])). 20.85/3.48 tff(f3263,plain,( 20.85/3.48 empty1 != tb2t2(sK19(sF23,tree)) | nil(tree) = sF23 | distinct(tree,sK17(sF23,tree)) | ~spl29_15), 20.85/3.48 inference(subsumption_resolution,[],[f3250,f471])). 20.85/3.48 tff(f3250,plain,( 20.85/3.48 empty1 != tb2t2(sK19(sF23,tree)) | distinct(tree,sK17(sF23,tree)) | nil(tree) = sF23 | ~distinct(tree,sF23)), 20.85/3.48 inference(resolution,[],[f1400,f662])). 20.85/3.48 tff(f3273,plain,( 20.85/3.48 spl29_115 | ~spl29_148 | spl29_149 | ~spl29_21), 20.85/3.48 inference(avatar_split_clause,[],[f3260,f499,f3270,f3266,f2332])). 20.85/3.48 tff(f3266,definition,( 20.85/3.48 spl29_148 <=> empty1 = tb2t2(sK19(sF22,tree))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_148])],[avatar_definition])). 20.85/3.48 tff(f3260,plain,( 20.85/3.48 empty1 != tb2t2(sK19(sF22,tree)) | nil(tree) = sF22 | distinct(tree,sK17(sF22,tree)) | ~spl29_21), 20.85/3.48 inference(subsumption_resolution,[],[f3249,f501])). 20.85/3.48 tff(f3249,plain,( 20.85/3.48 nil(tree) = sF22 | ~distinct(tree,sF22) | distinct(tree,sK17(sF22,tree)) | empty1 != tb2t2(sK19(sF22,tree))), 20.85/3.48 inference(resolution,[],[f1400,f661])). 20.85/3.48 tff(f3247,plain,( 20.85/3.48 spl29_147 | spl29_146 | ~spl29_46 | spl29_48 | ~spl29_50), 20.85/3.48 inference(avatar_split_clause,[],[f3237,f749,f726,f657,f3239,f3243])). 20.85/3.48 tff(f3243,definition,( 20.85/3.48 spl29_147 <=> distinct(tree,sK17(sF26,tree))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_147])],[avatar_definition])). 20.85/3.48 tff(f3237,plain,( 20.85/3.48 distinct(tree,sK17(sF26,tree)) | nil(tree) = sF20 | (~spl29_46 | spl29_48 | ~spl29_50)), 20.85/3.48 inference(subsumption_resolution,[],[f3235,f659])). 20.85/3.48 tff(f3235,plain,( 20.85/3.48 ~distinct(tree,sF26) | distinct(tree,sK17(sF26,tree)) | nil(tree) = sF20 | (spl29_48 | ~spl29_50)), 20.85/3.48 inference(subsumption_resolution,[],[f3220,f728])). 20.85/3.48 tff(f3220,plain,( 20.85/3.48 distinct(tree,sK17(sF26,tree)) | nil(tree) = sF26 | nil(tree) = sF20 | ~distinct(tree,sF26) | ~spl29_50), 20.85/3.48 inference(superposition,[],[f1392,f751])). 20.85/3.48 tff(f3246,plain,( 20.85/3.48 spl29_146 | spl29_147 | ~spl29_46 | spl29_48 | ~spl29_50), 20.85/3.48 inference(avatar_split_clause,[],[f3236,f749,f726,f657,f3243,f3239])). 20.85/3.48 tff(f3236,plain,( 20.85/3.48 distinct(tree,sK17(sF26,tree)) | nil(tree) = sF20 | (~spl29_46 | spl29_48 | ~spl29_50)), 20.85/3.48 inference(subsumption_resolution,[],[f3232,f659])). 20.85/3.48 tff(f3232,plain,( 20.85/3.48 distinct(tree,sK17(sF26,tree)) | nil(tree) = sF20 | ~distinct(tree,sF26) | (spl29_48 | ~spl29_50)), 20.85/3.48 inference(subsumption_resolution,[],[f3226,f728])). 20.85/3.48 tff(f3226,plain,( 20.85/3.48 nil(tree) = sF20 | nil(tree) = sF26 | ~distinct(tree,sF26) | distinct(tree,sK17(sF26,tree)) | ~spl29_50), 20.85/3.48 inference(superposition,[],[f751,f1392])). 20.85/3.48 tff(f3182,plain,( 20.85/3.48 ~spl29_144 | ~spl29_145 | ~spl29_3 | ~spl29_7 | ~spl29_26 | ~spl29_54 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f3172,f2519,f1192,f531,f429,f409,f3179,f3175])). 20.85/3.48 tff(f3175,definition,( 20.85/3.48 spl29_144 <=> all_trees1(length2(tree,sF26),sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_144])],[avatar_definition])). 20.85/3.48 tff(f3179,definition,( 20.85/3.48 spl29_145 <=> all_trees1(length2(tree,sF20),sK8)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_145])],[avatar_definition])). 20.85/3.48 tff(f3172,plain,( 20.85/3.48 ~all_trees1(length2(tree,sF20),sK8) | ~all_trees1(length2(tree,sF26),sK13) | (~spl29_3 | ~spl29_7 | ~spl29_26 | ~spl29_54 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2999,f1194])). 20.85/3.48 tff(f2999,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1($sum(1,X0),sK13) | ~all_trees1(X0,sK8)) ) | (~spl29_3 | ~spl29_7 | ~spl29_26 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2520,f2391])). 20.85/3.48 tff(f2391,plain,( 20.85/3.48 ( ! [X0 : $int] : (size1(sK9) = X0 | ~all_trees1(X0,sK8)) ) | (~spl29_3 | ~spl29_7 | ~spl29_26)), 20.85/3.48 inference(subsumption_resolution,[],[f2388,f532])). 20.85/3.48 tff(f2388,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK8) | size1(sK9) = X0 | ~mem(tree,sF25,sF20)) ) | (~spl29_3 | ~spl29_7)), 20.85/3.48 inference(superposition,[],[f1226,f431])). 20.85/3.48 tff(f3162,plain,( 20.85/3.48 ~spl29_143 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f3155,f2519,f444,f3157])). 20.85/3.48 tff(f3157,definition,( 20.85/3.48 spl29_143 <=> all_trees1(2,sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_143])],[avatar_definition])). 20.85/3.48 tff(f3155,plain,( 20.85/3.48 ~all_trees1(2,sK13) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(evaluation,[],[f3141])). 20.85/3.48 tff(f3141,plain,( 20.85/3.48 ~all_trees1($sum(1,$sum(1,0)),sK13) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2992,f446])). 20.85/3.48 tff(f3161,plain,( 20.85/3.48 spl29_114 | ~spl29_143 | ~spl29_10 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f3154,f2519,f444,f3157,f2320])). 20.85/3.48 tff(f3154,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~all_trees1(2,sK13) | ~mem(tree,X0,sF22) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(evaluation,[],[f3152])). 20.85/3.48 tff(f3152,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~mem(tree,X0,sF22) | ~all_trees1($sum(1,$sum(1,0)),sK13) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_10 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2992,f1504])). 20.85/3.48 tff(f3160,plain,( 20.85/3.48 ~spl29_143 | ~spl29_10 | ~spl29_59 | ~spl29_136), 20.85/3.48 inference(avatar_split_clause,[],[f3153,f2519,f1661,f444,f3157])). 20.85/3.48 tff(f3153,plain,( 20.85/3.48 ~all_trees1(2,sK13) | (~spl29_10 | ~spl29_59 | ~spl29_136)), 20.85/3.48 inference(evaluation,[],[f3148])). 20.85/3.48 tff(f3148,plain,( 20.85/3.48 ~all_trees1($sum(1,$sum(1,0)),sK13) | (~spl29_10 | ~spl29_59 | ~spl29_136)), 20.85/3.48 inference(superposition,[],[f2992,f1663])). 20.85/3.48 tff(f3079,plain,( 20.85/3.48 ~spl29_141 | spl29_142 | ~spl29_13 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f3068,f522,f459,f3076,f3072])). 20.85/3.48 tff(f3072,definition,( 20.85/3.48 spl29_141 <=> empty1 = tb2t2(cons_proj_11(tree,sF24))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_141])],[avatar_definition])). 20.85/3.48 tff(f3068,plain,( 20.85/3.48 empty1 != tb2t2(cons_proj_11(tree,sF24)) | nil(tree) = sF24 | (~spl29_13 | ~spl29_25)), 20.85/3.48 inference(resolution,[],[f2573,f1252])). 20.85/3.48 tff(f2712,plain,( 20.85/3.48 ~spl29_133 | ~spl29_134 | spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2711,f2419,f2505,f2501])). 20.85/3.48 tff(f2501,definition,( 20.85/3.48 spl29_133 <=> $less(0,size1(sK9))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_133])],[avatar_definition])). 20.85/3.48 tff(f2505,definition,( 20.85/3.48 spl29_134 <=> sK0(sK9) = sK9), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_134])],[avatar_definition])). 20.85/3.48 tff(f2711,plain,( 20.85/3.48 ~$less(0,size1(sK9)) | sK0(sK9) != sK9 | spl29_122), 20.85/3.48 inference(superposition,[],[f2420,f999])). 20.85/3.48 tff(f2633,plain,( 20.85/3.48 ~spl29_109 | ~spl29_20 | ~spl29_27 | spl29_121), 20.85/3.48 inference(avatar_split_clause,[],[f2382,f2377,f536,f494,f2217])). 20.85/3.48 tff(f2382,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF20) | (~spl29_20 | ~spl29_27 | spl29_121)), 20.85/3.48 inference(resolution,[],[f2379,f1299])). 20.85/3.48 tff(f1299,plain,( 20.85/3.48 ( ! [X0 : uni] : (mem(tree,X0,sF26) | ~mem(tree,X0,sF20)) ) | (~spl29_20 | ~spl29_27)), 20.85/3.48 inference(subsumption_resolution,[],[f1298,f663])). 20.85/3.48 tff(f1298,plain,( 20.85/3.48 ( ! [X0 : uni] : (mem(tree,X0,sF26) | ~mem(tree,X0,sF20) | ~sort1(tree,X0)) ) | (~spl29_20 | ~spl29_27)), 20.85/3.48 inference(subsumption_resolution,[],[f1295,f538])). 20.85/3.48 tff(f1295,plain,( 20.85/3.48 ( ! [X0 : uni] : (~sort1(tree,sF25) | mem(tree,X0,sF26) | ~mem(tree,X0,sF20) | ~sort1(tree,X0)) ) | ~spl29_20), 20.85/3.48 inference(superposition,[],[f356,f496])). 20.85/3.48 tff(f2379,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF26) | spl29_121), 20.85/3.48 inference(avatar_component_clause,[],[f2377])). 20.85/3.48 tff(f2632,plain,( 20.85/3.48 ~spl29_51 | ~spl29_120 | spl29_121), 20.85/3.48 inference(avatar_contradiction_clause,[],[f2631])). 20.85/3.48 tff(f2631,plain,( 20.85/3.48 $false | (~spl29_51 | ~spl29_120 | spl29_121)), 20.85/3.48 inference(subsumption_resolution,[],[f2615,f2379])). 20.85/3.48 tff(f2615,plain,( 20.85/3.48 mem(tree,t2tb2(empty1),sF26) | (~spl29_51 | ~spl29_120)), 20.85/3.48 inference(superposition,[],[f988,f2375])). 20.85/3.48 tff(f988,plain,( 20.85/3.48 mem(tree,sF25,sF26) | ~spl29_51), 20.85/3.48 inference(avatar_component_clause,[],[f986])). 20.85/3.48 tff(f986,definition,( 20.85/3.48 spl29_51 <=> mem(tree,sF25,sF26)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_51])],[avatar_definition])). 20.85/3.48 tff(f2630,plain,( 20.85/3.48 ~spl29_139 | ~spl29_120 | spl29_138), 20.85/3.48 inference(avatar_split_clause,[],[f2619,f2581,f2373,f2586])). 20.85/3.48 tff(f2619,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF24) | (~spl29_120 | spl29_138)), 20.85/3.48 inference(superposition,[],[f2583,f2375])). 20.85/3.48 tff(f2629,plain,( 20.85/3.48 ~spl29_26 | spl29_109 | ~spl29_120), 20.85/3.48 inference(avatar_contradiction_clause,[],[f2628])). 20.85/3.48 tff(f2628,plain,( 20.85/3.48 $false | (~spl29_26 | spl29_109 | ~spl29_120)), 20.85/3.48 inference(subsumption_resolution,[],[f2609,f2219])). 20.85/3.48 tff(f2609,plain,( 20.85/3.48 mem(tree,t2tb2(empty1),sF20) | (~spl29_26 | ~spl29_120)), 20.85/3.48 inference(superposition,[],[f532,f2375])). 20.85/3.48 tff(f2627,plain,( 20.85/3.48 spl29_140 | ~spl29_20 | ~spl29_120), 20.85/3.48 inference(avatar_split_clause,[],[f2608,f2373,f494,f2624])). 20.85/3.48 tff(f2608,plain,( 20.85/3.48 sF26 = cons(tree,t2tb2(empty1),sF20) | (~spl29_20 | ~spl29_120)), 20.85/3.48 inference(superposition,[],[f496,f2375])). 20.85/3.48 tff(f2589,plain,( 20.85/3.48 ~spl29_139 | ~spl29_13 | ~spl29_25 | spl29_57), 20.85/3.48 inference(avatar_split_clause,[],[f2578,f1220,f522,f459,f2586])). 20.85/3.48 tff(f1220,definition,( 20.85/3.48 spl29_57 <=> mem(tree,t2tb2(empty1),sF22)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_57])],[avatar_definition])). 20.85/3.48 tff(f2578,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF24) | (~spl29_13 | ~spl29_25 | spl29_57)), 20.85/3.48 inference(resolution,[],[f2571,f1222])). 20.85/3.48 tff(f1222,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF22) | spl29_57), 20.85/3.48 inference(avatar_component_clause,[],[f1220])). 20.85/3.48 tff(f2584,plain,( 20.85/3.48 ~spl29_138 | ~spl29_13 | ~spl29_25 | spl29_36), 20.85/3.48 inference(avatar_split_clause,[],[f2579,f594,f522,f459,f2581])). 20.85/3.48 tff(f2579,plain,( 20.85/3.48 ~mem(tree,sF25,sF24) | (~spl29_13 | ~spl29_25 | spl29_36)), 20.85/3.48 inference(resolution,[],[f2571,f596])). 20.85/3.48 tff(f2570,plain,( 20.85/3.48 ~spl29_137 | ~spl29_30 | spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2569,f2419,f557,f2561])). 20.85/3.48 tff(f2569,plain,( 20.85/3.48 empty1 != node_proj_11(empty1) | (~spl29_30 | spl29_122)), 20.85/3.48 inference(forward_demodulation,[],[f2420,f558])). 20.85/3.48 tff(f2564,plain,( 20.85/3.48 spl29_137 | ~spl29_30 | ~spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2558,f2419,f557,f2561])). 20.85/3.48 tff(f2558,plain,( 20.85/3.48 empty1 = node_proj_11(empty1) | (~spl29_30 | ~spl29_122)), 20.85/3.48 inference(superposition,[],[f2421,f558])). 20.85/3.48 tff(f2421,plain,( 20.85/3.48 sK9 = node_proj_11(sK9) | ~spl29_122), 20.85/3.48 inference(avatar_component_clause,[],[f2419])). 20.85/3.48 tff(f2559,plain,( 20.85/3.48 spl29_120 | ~spl29_3 | ~spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f2546,f557,f409,f2373])). 20.85/3.48 tff(f2546,plain,( 20.85/3.48 t2tb2(empty1) = sF25 | (~spl29_3 | ~spl29_30)), 20.85/3.48 inference(superposition,[],[f411,f558])). 20.85/3.48 tff(f2521,plain,( 20.85/3.48 spl29_136 | spl29_30 | ~spl29_1 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f2277,f444,f399,f557,f2519])). 20.85/3.48 tff(f2277,plain,( 20.85/3.48 ( ! [X0 : tree1] : (empty1 = sK9 | ~all_trees1($sum(1,size1(X0)),sK13)) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(forward_demodulation,[],[f2270,f275])). 20.85/3.48 tff(f2270,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK13) | sK9 = node_proj_11(node1(empty1,X0))) ) | (~spl29_1 | ~spl29_10)), 20.85/3.48 inference(superposition,[],[f2053,f1093])). 20.85/3.48 tff(f2517,plain,( 20.85/3.48 spl29_30 | spl29_126 | ~spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2497,f2419,f2441,f557])). 20.85/3.48 tff(f2441,definition,( 20.85/3.48 spl29_126 <=> sK9 = node1(sK9,node_proj_21(sK9))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_126])],[avatar_definition])). 20.85/3.48 tff(f2497,plain,( 20.85/3.48 sK9 = node1(sK9,node_proj_21(sK9)) | empty1 = sK9 | ~spl29_122), 20.85/3.48 inference(superposition,[],[f310,f2421])). 20.85/3.48 tff(f2516,plain,( 20.85/3.48 ~spl29_30 | spl29_135 | ~spl29_3 | ~spl29_7 | ~spl29_26), 20.85/3.48 inference(avatar_split_clause,[],[f2411,f531,f429,f409,f2514,f557])). 20.85/3.48 tff(f2514,definition,( 20.85/3.48 spl29_135 <=> ! [X0 : $int] : (~$less(0,X0) | ~all_trees1(X0,sK8))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_135])],[avatar_definition])). 20.85/3.48 tff(f2411,plain,( 20.85/3.48 ( ! [X0 : $int] : (~$less(0,X0) | ~all_trees1(X0,sK8) | empty1 != sK9) ) | (~spl29_3 | ~spl29_7 | ~spl29_26)), 20.85/3.48 inference(superposition,[],[f997,f2391])). 20.85/3.48 tff(f2512,plain,( 20.85/3.48 spl29_123 | ~spl29_30 | ~spl29_1 | ~spl29_3 | ~spl29_7 | ~spl29_26), 20.85/3.48 inference(avatar_split_clause,[],[f2414,f531,f429,f409,f399,f557,f2423])). 20.85/3.48 tff(f2423,definition,( 20.85/3.48 spl29_123 <=> ! [X0 : $int] : (~all_trees1(X0,sK13) | ~all_trees1(X0,sK8))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_123])],[avatar_definition])). 20.85/3.48 tff(f2414,plain,( 20.85/3.48 ( ! [X0 : $int] : (empty1 != sK9 | ~all_trees1(X0,sK13) | ~all_trees1(X0,sK8)) ) | (~spl29_1 | ~spl29_3 | ~spl29_7 | ~spl29_26)), 20.85/3.48 inference(superposition,[],[f2051,f2391])). 20.85/3.48 tff(f2511,plain,( 20.85/3.48 spl29_126 | spl29_30 | ~spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2510,f2419,f557,f2441])). 20.85/3.48 tff(f2510,plain,( 20.85/3.48 sK9 = node1(sK9,node_proj_21(sK9)) | (spl29_30 | ~spl29_122)), 20.85/3.48 inference(subsumption_resolution,[],[f2497,f559])). 20.85/3.48 tff(f2509,plain,( 20.85/3.48 spl29_134 | ~spl29_133 | ~spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2492,f2419,f2501,f2505])). 20.85/3.48 tff(f2492,plain,( 20.85/3.48 ~$less(0,size1(sK9)) | sK0(sK9) = sK9 | ~spl29_122), 20.85/3.48 inference(superposition,[],[f999,f2421])). 20.85/3.48 tff(f2508,plain,( 20.85/3.48 ~spl29_133 | spl29_134 | ~spl29_122), 20.85/3.48 inference(avatar_split_clause,[],[f2491,f2419,f2505,f2501])). 20.85/3.48 tff(f2491,plain,( 20.85/3.48 ~$less(0,size1(sK9)) | sK0(sK9) = sK9 | ~spl29_122), 20.85/3.48 inference(superposition,[],[f2421,f999])). 20.85/3.48 tff(f2477,plain,( 20.85/3.48 spl29_132 | ~spl29_29 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1569,f651,f553,f2474])). 20.85/3.48 tff(f2474,definition,( 20.85/3.48 spl29_132 <=> node1(sK9,sK14(sK9)) = sK9), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_132])],[avatar_definition])). 20.85/3.48 tff(f1569,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | node1(sK9,sK14(sK9)) = sK9 | ~spl29_45), 20.85/3.48 inference(superposition,[],[f875,f653])). 20.85/3.48 tff(f2472,plain,( 20.85/3.48 spl29_128 | ~spl29_29 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1561,f651,f553,f2452])). 20.85/3.48 tff(f2452,definition,( 20.85/3.48 spl29_128 <=> node_proj_21(sK9) = sK14(sK9)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_128])],[avatar_definition])). 20.85/3.48 tff(f1561,plain,( 20.85/3.48 node_proj_21(sK9) = sK14(sK9) | ~mem(tree,sF25,sF23) | ~spl29_45), 20.85/3.48 inference(superposition,[],[f681,f653])). 20.85/3.48 tff(f2471,plain,( 20.85/3.48 ~spl29_29 | ~spl29_25 | spl29_36), 20.85/3.48 inference(avatar_split_clause,[],[f1898,f594,f522,f553])). 20.85/3.48 tff(f1898,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | (~spl29_25 | spl29_36)), 20.85/3.48 inference(resolution,[],[f1870,f596])). 20.85/3.48 tff(f2470,plain,( 20.85/3.48 spl29_131 | ~spl29_29 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1565,f651,f553,f2467])). 20.85/3.48 tff(f2467,definition,( 20.85/3.48 spl29_131 <=> sK9 = node1(node_proj_11(sK9),sK14(sK9))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_131])],[avatar_definition])). 20.85/3.48 tff(f1565,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | sK9 = node1(node_proj_11(sK9),sK14(sK9)) | ~spl29_45), 20.85/3.48 inference(superposition,[],[f854,f653])). 20.85/3.48 tff(f854,plain,( 20.85/3.48 ( ! [X0 : uni] : (tb2t2(X0) = node1(node_proj_11(tb2t2(X0)),sK14(tb2t2(X0))) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(subsumption_resolution,[],[f845,f662])). 20.85/3.48 tff(f845,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | empty1 = tb2t2(X0) | tb2t2(X0) = node1(node_proj_11(tb2t2(X0)),sK14(tb2t2(X0)))) )), 20.85/3.48 inference(superposition,[],[f310,f681])). 20.85/3.48 tff(f2465,plain,( 20.85/3.48 ~spl29_29 | spl29_127 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1198,f409,f2446,f553])). 20.85/3.48 tff(f2446,definition,( 20.85/3.48 spl29_127 <=> ! [X0 : tree1,X1 : tree1] : (sK9 != node1(X0,X1) | size1(X0) = size1(sK9))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_127])],[avatar_definition])). 20.85/3.48 tff(f1198,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,sF25,sF23) | sK9 != node1(X0,X1) | size1(X0) = size1(sK9)) ) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f1117,f411])). 20.85/3.48 tff(f2464,plain,( 20.85/3.48 spl29_130 | ~spl29_29 | ~spl29_1 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f2390,f409,f399,f553,f2462])). 20.85/3.48 tff(f2390,plain,( 20.85/3.48 ( ! [X0 : $int] : (size1(sK9) = X0 | ~all_trees1(X0,sK13) | ~mem(tree,sF25,sF23)) ) | (~spl29_1 | ~spl29_3)), 20.85/3.48 inference(superposition,[],[f1226,f401])). 20.85/3.48 tff(f2460,plain,( 20.85/3.48 spl29_129 | ~spl29_29 | ~spl29_3 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f2001,f522,f409,f553,f2457])). 20.85/3.48 tff(f2457,definition,( 20.85/3.48 spl29_129 <=> sK12(sK9) = node_proj_11(sK9)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_129])],[avatar_definition])). 20.85/3.48 tff(f2001,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | sK12(sK9) = node_proj_11(sK9) | (~spl29_3 | ~spl29_25)), 20.85/3.48 inference(superposition,[],[f1864,f411])). 20.85/3.48 tff(f2455,plain,( 20.85/3.48 ~spl29_29 | spl29_128 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f680,f409,f2452,f553])). 20.85/3.48 tff(f680,plain,( 20.85/3.48 node_proj_21(sK9) = sK14(sK9) | ~mem(tree,sF25,sF23) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f666,f411])). 20.85/3.48 tff(f2450,plain,( 20.85/3.48 ~spl29_29 | spl29_47 | ~spl29_3 | ~spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f2012,f522,f409,f688,f553])). 20.85/3.48 tff(f688,definition,( 20.85/3.48 spl29_47 <=> sK11(sK9) = node_proj_21(sK9)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_47])],[avatar_definition])). 20.85/3.48 tff(f2012,plain,( 20.85/3.48 sK11(sK9) = node_proj_21(sK9) | ~mem(tree,sF25,sF23) | (~spl29_3 | ~spl29_25)), 20.85/3.48 inference(superposition,[],[f1865,f411])). 20.85/3.48 tff(f2449,plain,( 20.85/3.48 ~spl29_103 | spl29_29 | ~spl29_1 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f2062,f409,f399,f553,f2123])). 20.85/3.48 tff(f2123,definition,( 20.85/3.48 spl29_103 <=> all_trees1(size1(sK9),sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_103])],[avatar_definition])). 20.85/3.48 tff(f2062,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK13) | mem(tree,sF25,sF23) | (~spl29_1 | ~spl29_3)), 20.85/3.48 inference(superposition,[],[f981,f411])). 20.85/3.48 tff(f2448,plain,( 20.85/3.48 ~spl29_29 | spl29_127 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1574,f651,f2446,f553])). 20.85/3.48 tff(f1574,plain,( 20.85/3.48 ( ! [X0 : tree1,X1 : tree1] : (~mem(tree,sF25,sF23) | sK9 != node1(X0,X1) | size1(X0) = size1(sK9)) ) | ~spl29_45), 20.85/3.48 inference(superposition,[],[f1199,f653])). 20.85/3.48 tff(f1199,plain,( 20.85/3.48 ( ! [X2 : tree1,X0 : uni,X1 : tree1] : (node1(X1,X2) != tb2t2(X0) | size1(sK9) = size1(X1) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f1117,f337])). 20.85/3.48 tff(f2444,plain,( 20.85/3.48 ~spl29_29 | spl29_126 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1566,f651,f2441,f553])). 20.85/3.48 tff(f1566,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | sK9 = node1(sK9,node_proj_21(sK9)) | ~spl29_45), 20.85/3.48 inference(superposition,[],[f855,f653])). 20.85/3.48 tff(f2439,plain,( 20.85/3.48 spl29_29 | ~spl29_103 | ~spl29_1 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f2144,f409,f399,f2123,f553])). 20.85/3.48 tff(f2144,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK13) | mem(tree,sF25,sF23) | (~spl29_1 | ~spl29_3)), 20.85/3.48 inference(superposition,[],[f973,f401])). 20.85/3.48 tff(f973,plain,( 20.85/3.48 ( ! [X0 : list_tree] : (mem(tree,sF25,t2tb1(X0)) | ~all_trees1(size1(sK9),X0)) ) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f372,f411])). 20.85/3.48 tff(f2438,plain,( 20.85/3.48 spl29_124 | ~spl29_29 | ~spl29_45 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f1917,f1755,f651,f553,f2428])). 20.85/3.48 tff(f1917,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | sK12(sK9) = sK9 | (~spl29_45 | ~spl29_70)), 20.85/3.48 inference(superposition,[],[f1912,f653])). 20.85/3.48 tff(f1912,plain,( 20.85/3.48 ( ! [X0 : uni] : (sK9 = sK12(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | ~spl29_70), 20.85/3.48 inference(superposition,[],[f1756,f337])). 20.85/3.48 tff(f2437,plain,( 20.85/3.48 spl29_122 | ~spl29_29 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f675,f409,f553,f2419])). 20.85/3.48 tff(f675,plain,( 20.85/3.48 sK9 = node_proj_11(sK9) | ~mem(tree,sF25,sF23) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f670,f411])). 20.85/3.48 tff(f2436,plain,( 20.85/3.48 ~spl29_29 | spl29_125 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1572,f651,f2434,f553])). 20.85/3.48 tff(f2434,definition,( 20.85/3.48 spl29_125 <=> ! [X2 : uni,X0 : ty,X1 : uni] : (match_tree1(X0,sK9,X1,X2) = X2 | ~sort1(X0,X2))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_125])],[avatar_definition])). 20.85/3.48 tff(f1572,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (match_tree1(X0,sK9,X1,X2) = X2 | ~mem(tree,sF25,sF23) | ~sort1(X0,X2)) ) | ~spl29_45), 20.85/3.48 inference(superposition,[],[f1149,f653])). 20.85/3.48 tff(f1149,plain,( 20.85/3.48 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (match_tree1(X1,tb2t2(X0),X2,X3) = X3 | ~mem(tree,X0,sF23) | ~sort1(X1,X3)) )), 20.85/3.48 inference(superposition,[],[f327,f854])). 20.85/3.48 tff(f327,plain,( 20.85/3.48 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : tree1,X4 : tree1] : (match_tree1(X2,node1(X4,X1),X0,X3) = X3 | ~sort1(X2,X3)) )), 20.85/3.48 inference(cnf_transformation,[],[f228])). 20.85/3.48 tff(f228,plain,( 20.85/3.48 ! [X0 : uni,X1 : tree1,X2 : ty,X3 : uni,X4 : tree1] : (match_tree1(X2,node1(X4,X1),X0,X3) = X3 | ~sort1(X2,X3))), 20.85/3.48 inference(rectify,[],[f153])). 20.85/3.48 tff(f153,plain,( 20.85/3.48 ! [X0 : uni,X4 : tree1,X1 : ty,X2 : uni,X3 : tree1] : (match_tree1(X1,node1(X3,X4),X0,X2) = X2 | ~sort1(X1,X2))), 20.85/3.48 inference(ennf_transformation,[],[f121])). 20.85/3.48 tff(f121,plain,( 20.85/3.48 ! [X3 : tree1,X4 : tree1,X2 : uni,X0 : uni,X1 : ty] : (sort1(X1,X2) => match_tree1(X1,node1(X3,X4),X0,X2) = X2)), 20.85/3.48 inference(rectify,[],[f55])). 20.85/3.48 tff(f55,axiom,( 20.85/3.48 ! [X18 : uni,X0 : ty,X19 : uni,X4 : tree1,X5 : tree1] : (sort1(X0,X19) => match_tree1(X0,node1(X4,X5),X18,X19) = X19)), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f2432,plain,( 20.85/3.48 spl29_122 | ~spl29_29 | ~spl29_45), 20.85/3.48 inference(avatar_split_clause,[],[f1560,f651,f553,f2419])). 20.85/3.48 tff(f1560,plain,( 20.85/3.48 sK9 = node_proj_11(sK9) | ~mem(tree,sF25,sF23) | ~spl29_45), 20.85/3.48 inference(superposition,[],[f676,f653])). 20.85/3.48 tff(f2431,plain,( 20.85/3.48 ~spl29_29 | spl29_124 | ~spl29_3 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f1911,f1755,f409,f2428,f553])). 20.85/3.48 tff(f1911,plain,( 20.85/3.48 sK12(sK9) = sK9 | ~mem(tree,sF25,sF23) | (~spl29_3 | ~spl29_70)), 20.85/3.48 inference(superposition,[],[f1756,f411])). 20.85/3.48 tff(f2426,plain,( 20.85/3.48 spl29_123 | ~spl29_3 | ~spl29_7 | ~spl29_26 | spl29_103), 20.85/3.48 inference(avatar_split_clause,[],[f2403,f2123,f531,f429,f409,f2423])). 20.85/3.48 tff(f2403,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK13) | ~all_trees1(X0,sK8)) ) | (~spl29_3 | ~spl29_7 | ~spl29_26 | spl29_103)), 20.85/3.48 inference(superposition,[],[f2125,f2391])). 20.85/3.48 tff(f2125,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK13) | spl29_103), 20.85/3.48 inference(avatar_component_clause,[],[f2123])). 20.85/3.48 tff(f2425,plain,( 20.85/3.48 spl29_122 | spl29_123 | ~spl29_1 | ~spl29_3 | ~spl29_7 | ~spl29_26), 20.85/3.48 inference(avatar_split_clause,[],[f2415,f531,f429,f409,f399,f2423,f2419])). 20.85/3.48 tff(f2415,plain,( 20.85/3.48 ( ! [X0 : $int] : (~all_trees1(X0,sK13) | ~all_trees1(X0,sK8) | sK9 = node_proj_11(sK9)) ) | (~spl29_1 | ~spl29_3 | ~spl29_7 | ~spl29_26)), 20.85/3.48 inference(superposition,[],[f2053,f2391])). 20.85/3.48 tff(f2380,plain,( 20.85/3.48 spl29_120 | ~spl29_121 | ~spl29_20 | ~spl29_27 | spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f2371,f2217,f536,f494,f2377,f2373])). 20.85/3.48 tff(f2371,plain,( 20.85/3.48 ~mem(tree,t2tb2(empty1),sF26) | t2tb2(empty1) = sF25 | (~spl29_20 | ~spl29_27 | spl29_109)), 20.85/3.48 inference(resolution,[],[f1366,f2219])). 20.85/3.48 tff(f2365,plain,( 20.85/3.48 spl29_119 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f2357,f1661,f2362])). 20.85/3.48 tff(f2357,plain,( 20.85/3.48 ( ! [X0 : list_tree,X1 : $int] : (0 = X1 | ~all_trees1(X1,X0) | ~all_trees1(0,X0)) ) | ~spl29_59), 20.85/3.48 inference(superposition,[],[f1225,f1663])). 20.85/3.48 tff(f2364,plain,( 20.85/3.48 spl29_119 | spl29_114 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f2360,f444,f2320,f2362])). 20.85/3.48 tff(f2360,plain,( 20.85/3.48 ( ! [X2 : $int,X3 : tree1,X0 : uni,X1 : list_tree] : (0 = X2 | ~all_trees1(0,X1) | ~all_trees1(X2,X1) | ~mem(tree,X0,sF22) | node1(empty1,X3) != tb2t2(X0)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1225,f1504])). 20.85/3.48 tff(f2348,plain,( 20.85/3.48 ~spl29_117 | spl29_118), 20.85/3.48 inference(avatar_split_clause,[],[f2324,f2345,f2341])). 20.85/3.48 tff(f2341,definition,( 20.85/3.48 spl29_117 <=> empty1 = tb2t2(cons_proj_11(tree,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_117])],[avatar_definition])). 20.85/3.48 tff(f2324,plain,( 20.85/3.48 nil(tree) = sF23 | empty1 != tb2t2(cons_proj_11(tree,sF23))), 20.85/3.48 inference(resolution,[],[f1252,f662])). 20.85/3.48 tff(f2339,plain,( 20.85/3.48 spl29_115 | ~spl29_116), 20.85/3.48 inference(avatar_split_clause,[],[f2323,f2336,f2332])). 20.85/3.48 tff(f2336,definition,( 20.85/3.48 spl29_116 <=> empty1 = tb2t2(cons_proj_11(tree,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_116])],[avatar_definition])). 20.85/3.48 tff(f2323,plain,( 20.85/3.48 nil(tree) = sF22 | empty1 != tb2t2(cons_proj_11(tree,sF22))), 20.85/3.48 inference(resolution,[],[f1252,f661])). 20.85/3.48 tff(f2322,plain,( 20.85/3.48 ~spl29_113 | spl29_114 | ~spl29_1 | ~spl29_10 | spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f2312,f557,f444,f399,f2320,f2314])). 20.85/3.48 tff(f2314,definition,( 20.85/3.48 spl29_113 <=> all_trees1(1,sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_113])],[avatar_definition])). 20.85/3.48 tff(f2312,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22) | ~all_trees1(1,sK13)) ) | (~spl29_1 | ~spl29_10 | spl29_30)), 20.85/3.48 inference(evaluation,[],[f2309])). 20.85/3.48 tff(f2309,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~mem(tree,X0,sF22) | ~all_trees1($sum(1,0),sK13) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_1 | ~spl29_10 | spl29_30)), 20.85/3.48 inference(superposition,[],[f2279,f1504])). 20.85/3.48 tff(f2279,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1($sum(1,size1(X0)),sK13)) ) | (~spl29_1 | ~spl29_10 | spl29_30)), 20.85/3.48 inference(subsumption_resolution,[],[f2277,f559])). 20.85/3.48 tff(f2318,plain,( 20.85/3.48 ~spl29_113 | ~spl29_1 | ~spl29_10 | spl29_30 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f2311,f1661,f557,f444,f399,f2314])). 20.85/3.48 tff(f2311,plain,( 20.85/3.48 ~all_trees1(1,sK13) | (~spl29_1 | ~spl29_10 | spl29_30 | ~spl29_59)), 20.85/3.48 inference(evaluation,[],[f2306])). 20.85/3.48 tff(f2306,plain,( 20.85/3.48 ~all_trees1($sum(1,0),sK13) | (~spl29_1 | ~spl29_10 | spl29_30 | ~spl29_59)), 20.85/3.48 inference(superposition,[],[f2279,f1663])). 20.85/3.48 tff(f2317,plain,( 20.85/3.48 ~spl29_113 | ~spl29_1 | ~spl29_10 | spl29_30), 20.85/3.48 inference(avatar_split_clause,[],[f2310,f557,f444,f399,f2314])). 20.85/3.48 tff(f2310,plain,( 20.85/3.48 ~all_trees1(1,sK13) | (~spl29_1 | ~spl29_10 | spl29_30)), 20.85/3.48 inference(evaluation,[],[f2301])). 20.85/3.48 tff(f2301,plain,( 20.85/3.48 ~all_trees1($sum(1,0),sK13) | (~spl29_1 | ~spl29_10 | spl29_30)), 20.85/3.48 inference(superposition,[],[f2279,f446])). 20.85/3.48 tff(f2259,plain,( 20.85/3.48 ~spl29_112 | ~spl29_54), 20.85/3.48 inference(avatar_split_clause,[],[f2252,f1192,f2256])). 20.85/3.48 tff(f2256,definition,( 20.85/3.48 spl29_112 <=> 0 = length2(tree,sF26)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_112])],[avatar_definition])). 20.85/3.48 tff(f2252,plain,( 20.85/3.48 0 != length2(tree,sF26) | ~spl29_54), 20.85/3.48 inference(superposition,[],[f1196,f1194])). 20.85/3.48 tff(f2250,plain,( 20.85/3.48 ~spl29_111 | ~spl29_7 | ~spl29_10 | spl29_109), 20.85/3.48 inference(avatar_split_clause,[],[f2245,f2217,f444,f429,f2247])). 20.85/3.48 tff(f2247,definition,( 20.85/3.48 spl29_111 <=> all_trees1(0,sK8)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_111])],[avatar_definition])). 20.85/3.48 tff(f2245,plain,( 20.85/3.48 ~all_trees1(0,sK8) | (~spl29_7 | ~spl29_10 | spl29_109)), 20.85/3.48 inference(forward_demodulation,[],[f2244,f446])). 20.85/3.48 tff(f2244,plain,( 20.85/3.48 ~all_trees1(size1(empty1),sK8) | (~spl29_7 | spl29_109)), 20.85/3.48 inference(resolution,[],[f2219,f979])). 20.85/3.48 tff(f2223,plain,( 20.85/3.48 ~spl29_109 | spl29_110 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f2215,f444,f2221,f2217])). 20.85/3.48 tff(f2221,definition,( 20.85/3.48 spl29_110 <=> ! [X0 : tree1] : ($sum(1,size1(sK11(node1(empty1,X0)))) = $sum(1,size1(X0)) | ~mem(tree,t2tb2(X0),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_110])],[avatar_definition])). 20.85/3.48 tff(f2215,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum(1,size1(sK11(node1(empty1,X0)))) = $sum(1,size1(X0)) | ~mem(tree,t2tb2(empty1),sF20) | ~mem(tree,t2tb2(X0),sF21)) ) | ~spl29_10), 20.85/3.48 inference(forward_demodulation,[],[f2202,f1093])). 20.85/3.48 tff(f2202,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum(1,size1(sK11(node1(empty1,X0)))) = size1(node1(empty1,X0)) | ~mem(tree,t2tb2(empty1),sF20) | ~mem(tree,t2tb2(X0),sF21)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1093,f745])). 20.85/3.48 tff(f2200,plain,( 20.85/3.48 spl29_107 | ~spl29_108 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f2192,f444,f2197,f2194])). 20.85/3.48 tff(f2194,definition,( 20.85/3.48 spl29_107 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF20) | $sum(1,size1(X0)) = $sum(1,size1(sK12(node1(X0,empty1)))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_107])],[avatar_definition])). 20.85/3.48 tff(f2197,definition,( 20.85/3.48 spl29_108 <=> mem(tree,t2tb2(empty1),sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_108])],[avatar_definition])). 20.85/3.48 tff(f2192,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF20) | $sum(1,size1(X0)) = $sum(1,size1(sK12(node1(X0,empty1)))) | ~mem(tree,t2tb2(empty1),sF21)) ) | ~spl29_10), 20.85/3.48 inference(forward_demodulation,[],[f2179,f1092])). 20.85/3.48 tff(f2179,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF20) | ~mem(tree,t2tb2(empty1),sF21) | size1(node1(X0,empty1)) = $sum(1,size1(sK12(node1(X0,empty1))))) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1092,f741])). 20.85/3.48 tff(f2153,plain,( 20.85/3.48 ~spl29_106 | ~spl29_3 | ~spl29_16 | ~spl29_32 | spl29_36), 20.85/3.48 inference(avatar_split_clause,[],[f2148,f594,f572,f474,f409,f2150])). 20.85/3.48 tff(f2150,definition,( 20.85/3.48 spl29_106 <=> all_trees1(size1(sK9),tb2t1(sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_106])],[avatar_definition])). 20.85/3.48 tff(f2148,plain,( 20.85/3.48 ~all_trees1(size1(sK9),tb2t1(sF22)) | (~spl29_3 | ~spl29_16 | ~spl29_32 | spl29_36)), 20.85/3.48 inference(forward_demodulation,[],[f2147,f574])). 20.85/3.48 tff(f2147,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK10) | (~spl29_3 | ~spl29_16 | spl29_36)), 20.85/3.48 inference(subsumption_resolution,[],[f2143,f596])). 20.85/3.48 tff(f2143,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK10) | mem(tree,sF25,sF22) | (~spl29_3 | ~spl29_16)), 20.85/3.48 inference(superposition,[],[f973,f476])). 20.85/3.48 tff(f2136,plain,( 20.85/3.48 spl29_105 | spl29_59 | ~spl29_10 | ~spl29_25 | ~spl29_70), 20.85/3.48 inference(avatar_split_clause,[],[f2132,f1755,f522,f444,f1661,f2134])). 20.85/3.48 tff(f2132,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | 0 = size1(sK9) | ~mem(tree,X0,sF23)) ) | (~spl29_10 | ~spl29_25 | ~spl29_70)), 20.85/3.48 inference(subsumption_resolution,[],[f1918,f1870])). 20.85/3.48 tff(f1918,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (0 = size1(sK9) | ~mem(tree,X0,sF22) | ~mem(tree,X0,sF23) | node1(empty1,X1) != tb2t2(X0)) ) | (~spl29_10 | ~spl29_70)), 20.85/3.48 inference(superposition,[],[f1504,f1912])). 20.85/3.48 tff(f2131,plain,( 20.85/3.48 ~spl29_104 | ~spl29_3 | ~spl29_12 | spl29_98), 20.85/3.48 inference(avatar_split_clause,[],[f2046,f1995,f454,f409,f2128])). 20.85/3.48 tff(f2128,definition,( 20.85/3.48 spl29_104 <=> all_trees1(size1(sK9),sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_104])],[avatar_definition])). 20.85/3.48 tff(f2046,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK5) | (~spl29_3 | ~spl29_12 | spl29_98)), 20.85/3.48 inference(subsumption_resolution,[],[f2044,f1997])). 20.85/3.48 tff(f2044,plain,( 20.85/3.48 mem(tree,sF25,sF21) | ~all_trees1(size1(sK9),sK5) | (~spl29_3 | ~spl29_12)), 20.85/3.48 inference(superposition,[],[f976,f411])). 20.85/3.48 tff(f2126,plain,( 20.85/3.48 ~spl29_103 | ~spl29_1 | ~spl29_3 | spl29_29), 20.85/3.48 inference(avatar_split_clause,[],[f2066,f553,f409,f399,f2123])). 20.85/3.48 tff(f2066,plain,( 20.85/3.48 ~all_trees1(size1(sK9),sK13) | (~spl29_1 | ~spl29_3 | spl29_29)), 20.85/3.48 inference(subsumption_resolution,[],[f2062,f555])). 20.85/3.48 tff(f2120,plain,( 20.85/3.48 spl29_102 | ~spl29_3 | ~spl29_11 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f2110,f1661,f449,f409,f2117])). 20.85/3.48 tff(f2110,plain,( 20.85/3.48 mem(tree,sF25,cons(tree,t2tb2(empty1),nil(tree))) | (~spl29_3 | ~spl29_11 | ~spl29_59)), 20.85/3.48 inference(resolution,[],[f2016,f451])). 20.85/3.48 tff(f2016,plain,( 20.85/3.48 ( ! [X0 : uni] : (~all_trees1(0,tb2t1(X0)) | mem(tree,sF25,X0)) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(superposition,[],[f2015,f318])). 20.85/3.48 tff(f2015,plain,( 20.85/3.48 ( ! [X0 : list_tree] : (mem(tree,sF25,t2tb1(X0)) | ~all_trees1(0,X0)) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f973,f1663])). 20.85/3.48 tff(f2041,plain,( 20.85/3.48 ~spl29_101 | ~spl29_3 | ~spl29_16 | ~spl29_32 | spl29_36 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f2036,f1661,f594,f572,f474,f409,f2038])). 20.85/3.48 tff(f2038,definition,( 20.85/3.48 spl29_101 <=> all_trees1(0,tb2t1(sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_101])],[avatar_definition])). 20.85/3.48 tff(f2036,plain,( 20.85/3.48 ~all_trees1(0,tb2t1(sF22)) | (~spl29_3 | ~spl29_16 | ~spl29_32 | spl29_36 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f2025,f574])). 20.85/3.48 tff(f2025,plain,( 20.85/3.48 ~all_trees1(0,sK10) | (~spl29_3 | ~spl29_16 | spl29_36 | ~spl29_59)), 20.85/3.48 inference(subsumption_resolution,[],[f2021,f596])). 20.85/3.48 tff(f2021,plain,( 20.85/3.48 mem(tree,sF25,sF22) | ~all_trees1(0,sK10) | (~spl29_3 | ~spl29_16 | ~spl29_59)), 20.85/3.48 inference(superposition,[],[f2015,f476])). 20.85/3.48 tff(f2035,plain,( 20.85/3.48 ~spl29_100 | ~spl29_3 | ~spl29_12 | ~spl29_59 | spl29_98), 20.85/3.48 inference(avatar_split_clause,[],[f2024,f1995,f1661,f454,f409,f2032])). 20.85/3.48 tff(f2032,definition,( 20.85/3.48 spl29_100 <=> all_trees1(0,sK5)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_100])],[avatar_definition])). 20.85/3.48 tff(f2024,plain,( 20.85/3.48 ~all_trees1(0,sK5) | (~spl29_3 | ~spl29_12 | ~spl29_59 | spl29_98)), 20.85/3.48 inference(subsumption_resolution,[],[f2017,f1997])). 20.85/3.48 tff(f2017,plain,( 20.85/3.48 ~all_trees1(0,sK5) | mem(tree,sF25,sF21) | (~spl29_3 | ~spl29_12 | ~spl29_59)), 20.85/3.48 inference(superposition,[],[f2015,f456])). 20.85/3.48 tff(f2030,plain,( 20.85/3.48 ~spl29_99 | ~spl29_1 | ~spl29_3 | spl29_29 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f2023,f1661,f553,f409,f399,f2027])). 20.85/3.48 tff(f2027,definition,( 20.85/3.48 spl29_99 <=> all_trees1(0,sK13)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_99])],[avatar_definition])). 20.85/3.48 tff(f2023,plain,( 20.85/3.48 ~all_trees1(0,sK13) | (~spl29_1 | ~spl29_3 | spl29_29 | ~spl29_59)), 20.85/3.48 inference(subsumption_resolution,[],[f2022,f555])). 20.85/3.48 tff(f2022,plain,( 20.85/3.48 mem(tree,sF25,sF23) | ~all_trees1(0,sK13) | (~spl29_1 | ~spl29_3 | ~spl29_59)), 20.85/3.48 inference(superposition,[],[f2015,f401])). 20.85/3.48 tff(f1998,plain,( 20.85/3.48 spl29_97 | ~spl29_98 | ~spl29_3 | ~spl29_59), 20.85/3.48 inference(avatar_split_clause,[],[f1990,f1661,f409,f1995,f1992])). 20.85/3.48 tff(f1992,definition,( 20.85/3.48 spl29_97 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF20) | $sum(1,size1(X0)) = $sum(1,size1(sK12(node1(X0,sK9)))))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_97])],[avatar_definition])). 20.85/3.48 tff(f1990,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF20) | $sum(1,size1(X0)) = $sum(1,size1(sK12(node1(X0,sK9)))) | ~mem(tree,sF25,sF21)) ) | (~spl29_3 | ~spl29_59)), 20.85/3.48 inference(forward_demodulation,[],[f1989,f411])). 20.85/3.48 tff(f1989,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum(1,size1(X0)) = $sum(1,size1(sK12(node1(X0,sK9)))) | ~mem(tree,t2tb2(sK9),sF21) | ~mem(tree,t2tb2(X0),sF20)) ) | ~spl29_59), 20.85/3.48 inference(forward_demodulation,[],[f1975,f1885])). 20.85/3.48 tff(f1885,plain,( 20.85/3.48 ( ! [X0 : tree1] : ($sum(1,size1(X0)) = size1(node1(X0,sK9))) ) | ~spl29_59), 20.85/3.48 inference(evaluation,[],[f1881])). 20.85/3.48 tff(f1881,plain,( 20.85/3.48 ( ! [X0 : tree1] : (size1(node1(X0,sK9)) = $sum($sum(1,size1(X0)),0)) ) | ~spl29_59), 20.85/3.48 inference(superposition,[],[f305,f1663])). 20.85/3.48 tff(f1975,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF20) | size1(node1(X0,sK9)) = $sum(1,size1(sK12(node1(X0,sK9)))) | ~mem(tree,t2tb2(sK9),sF21)) ) | ~spl29_59), 20.85/3.48 inference(superposition,[],[f1885,f741])). 20.85/3.48 tff(f1862,plain,( 20.85/3.48 ~spl29_26 | spl29_96 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1671,f409,f1860,f531])). 20.85/3.48 tff(f1860,definition,( 20.85/3.48 spl29_96 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_96])],[avatar_definition])). 20.85/3.48 tff(f1671,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,sF25,sF20) | mem(tree,t2tb2(X0),sF22)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f887,f411])). 20.85/3.48 tff(f887,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | mem(tree,t2tb2(X0),sF22)) )), 20.85/3.48 inference(superposition,[],[f380,f860])). 20.85/3.48 tff(f1858,plain,( 20.85/3.48 ~spl29_26 | spl29_95 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1697,f409,f1856,f531])). 20.85/3.48 tff(f1856,definition,( 20.85/3.48 spl29_95 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(sK1(X0)),sF21) | ~$less(0,size1(X0)) | node1(sK12(X0),sK1(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_95])],[avatar_definition])). 20.85/3.48 tff(f1697,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK1(X0)) = X0 | ~$less(0,size1(X0))) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1529,f411])). 20.85/3.48 tff(f1529,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(sK9),sF20) | node1(sK12(X0),sK1(X0)) = X0 | ~$less(0,size1(X0))) )), 20.85/3.48 inference(superposition,[],[f741,f1173])). 20.85/3.48 tff(f1854,plain,( 20.85/3.48 spl29_94 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1677,f409,f531,f1852])). 20.85/3.48 tff(f1852,definition,( 20.85/3.48 spl29_94 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~$less(0,size1(X0)) | sK9 = sK12(X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_94])],[avatar_definition])). 20.85/3.48 tff(f1677,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | sK9 = sK12(X0) | ~mem(tree,sF25,sF20) | ~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK1(X0)),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1528,f411])). 20.85/3.48 tff(f1528,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(sK9),sF20) | sK9 = sK12(X0) | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f695,f1173])). 20.85/3.48 tff(f1850,plain,( 20.85/3.48 spl29_26 | ~spl29_3 | ~spl29_24), 20.85/3.48 inference(avatar_split_clause,[],[f1678,f518,f409,f531])). 20.85/3.48 tff(f518,definition,( 20.85/3.48 spl29_24 <=> mem(tree,t2tb2(sK9),sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_24])],[avatar_definition])). 20.85/3.48 tff(f1678,plain,( 20.85/3.48 mem(tree,sF25,sF20) | (~spl29_3 | ~spl29_24)), 20.85/3.48 inference(forward_demodulation,[],[f519,f411])). 20.85/3.48 tff(f519,plain,( 20.85/3.48 mem(tree,t2tb2(sK9),sF20) | ~spl29_24), 20.85/3.48 inference(avatar_component_clause,[],[f518])). 20.85/3.48 tff(f1849,plain,( 20.85/3.48 spl29_93 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1682,f409,f531,f1847])). 20.85/3.48 tff(f1847,definition,( 20.85/3.48 spl29_93 <=> ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | node1(sK12(tb2t2(X0)),node_proj_21(tb2t2(X0))) = tb2t2(X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_93])],[avatar_definition])). 20.85/3.48 tff(f1682,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,sF25,sF20) | node1(sK12(tb2t2(X0)),node_proj_21(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f871,f411])). 20.85/3.48 tff(f871,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | node1(sK12(tb2t2(X0)),node_proj_21(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f741,f855])). 20.85/3.48 tff(f1845,plain,( 20.85/3.48 ~spl29_26 | spl29_92 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1710,f409,f1843,f531])). 20.85/3.48 tff(f1710,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1686,f411])). 20.85/3.48 tff(f1686,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(subsumption_resolution,[],[f785,f389])). 20.85/3.48 tff(f785,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(sK14(X0)),sF21)) )), 20.85/3.48 inference(superposition,[],[f778,f388])). 20.85/3.48 tff(f1841,plain,( 20.85/3.48 spl29_91 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1694,f409,f531,f1839])). 20.85/3.48 tff(f1839,definition,( 20.85/3.48 spl29_91 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | sK9 = sK12(X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_91])],[avatar_definition])). 20.85/3.48 tff(f1694,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | sK9 = sK12(X0) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f889,f411])). 20.85/3.48 tff(f889,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | sK9 = sK12(X0)) )), 20.85/3.48 inference(superposition,[],[f695,f860])). 20.85/3.48 tff(f1837,plain,( 20.85/3.48 spl29_90 | spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1715,f409,f531,f1835])). 20.85/3.48 tff(f1835,definition,( 20.85/3.48 spl29_90 <=> ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,X0,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_90])],[avatar_definition])). 20.85/3.48 tff(f1715,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | mem(tree,sF25,sF20) | ~mem(tree,X0,sF22)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1702,f411])). 20.85/3.48 tff(f1702,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,X0,sF22) | mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(duplicate_literal_removal,[],[f1701])). 20.85/3.48 tff(f1701,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF22) | ~mem(tree,X0,sF22) | ~mem(tree,X0,sF23) | mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(forward_demodulation,[],[f707,f337])). 20.85/3.48 tff(f707,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(tb2t2(X0)),sF22) | mem(tree,t2tb2(sK9),sF20) | ~mem(tree,X0,sF22) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f383,f702])). 20.85/3.48 tff(f702,plain,( 20.85/3.48 ( ! [X0 : uni] : (sK9 = sK12(tb2t2(X0)) | ~mem(tree,X0,sF22) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f694,f676])). 20.85/3.48 tff(f1833,plain,( 20.85/3.48 ~spl29_26 | spl29_89 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1684,f409,f1831,f531])). 20.85/3.48 tff(f1831,definition,( 20.85/3.48 spl29_89 <=> ! [X0 : tree1] : (node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_89])],[avatar_definition])). 20.85/3.48 tff(f1684,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,sF25,sF20)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f891,f411])). 20.85/3.48 tff(f891,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f745,f860])). 20.85/3.48 tff(f1829,plain,( 20.85/3.48 ~spl29_26 | spl29_88 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1700,f409,f1827,f531])). 20.85/3.48 tff(f1827,definition,( 20.85/3.48 spl29_88 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(sK11(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~$less(0,size1(X0)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_88])],[avatar_definition])). 20.85/3.48 tff(f1700,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK11(X0)),sF21) | ~$less(0,size1(X0)) | ~mem(tree,sF25,sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1532,f411])). 20.85/3.48 tff(f1532,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK11(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f779,f1173])). 20.85/3.48 tff(f1825,plain,( 20.85/3.48 spl29_87 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1690,f409,f531,f1823])). 20.85/3.48 tff(f1823,definition,( 20.85/3.48 spl29_87 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21) | node1(sK9,sK11(X0)) = X0 | ~$less(0,size1(X0)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_87])],[avatar_definition])). 20.85/3.48 tff(f1690,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~$less(0,size1(X0)) | ~mem(tree,sF25,sF20) | node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(sK1(X0)),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1530,f411])). 20.85/3.48 tff(f1530,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK9),sF20) | node1(sK9,sK11(X0)) = X0) )), 20.85/3.48 inference(superposition,[],[f745,f1173])). 20.85/3.48 tff(f1821,plain,( 20.85/3.48 ~spl29_26 | spl29_86 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1685,f409,f1819,f531])). 20.85/3.48 tff(f1685,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f892,f411])). 20.85/3.48 tff(f892,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK12(X0)),sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(node_proj_21(X0)),sF21)) )), 20.85/3.48 inference(superposition,[],[f778,f860])). 20.85/3.48 tff(f1817,plain,( 20.85/3.48 spl29_85 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1681,f409,f531,f1815])). 20.85/3.48 tff(f1815,definition,( 20.85/3.48 spl29_85 <=> ! [X0 : uni] : (node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK12(tb2t2(X0))),sF20))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_85])],[avatar_definition])). 20.85/3.48 tff(f1681,plain,( 20.85/3.48 ( ! [X0 : uni] : (node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK12(tb2t2(X0))),sF20) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f906,f411])). 20.85/3.48 tff(f906,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK12(tb2t2(X0))),sF20) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0)) )), 20.85/3.48 inference(superposition,[],[f778,f875])). 20.85/3.48 tff(f1813,plain,( 20.85/3.48 ~spl29_26 | spl29_84 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1670,f409,f1811,f531])). 20.85/3.48 tff(f1811,definition,( 20.85/3.48 spl29_84 <=> ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | sK11(tb2t2(X0)) = node_proj_21(tb2t2(X0)) | ~mem(tree,X0,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_84])],[avatar_definition])). 20.85/3.48 tff(f1670,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | ~mem(tree,sF25,sF20) | sK11(tb2t2(X0)) = node_proj_21(tb2t2(X0))) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f869,f411])). 20.85/3.48 tff(f869,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,X0,sF23) | sK11(tb2t2(X0)) = node_proj_21(tb2t2(X0)) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21)) )), 20.85/3.48 inference(superposition,[],[f686,f855])). 20.85/3.48 tff(f1809,plain,( 20.85/3.48 ~spl29_26 | spl29_83 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1716,f409,f1807,f531])). 20.85/3.48 tff(f1807,definition,( 20.85/3.48 spl29_83 <=> ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | mem(tree,X0,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_83])],[avatar_definition])). 20.85/3.48 tff(f1716,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | mem(tree,X0,sF22) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,sF25,sF20)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1703,f411])). 20.85/3.48 tff(f1703,plain,( 20.85/3.48 ( ! [X0 : uni] : (mem(tree,X0,sF22) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21)) )), 20.85/3.48 inference(forward_demodulation,[],[f901,f337])). 20.85/3.48 tff(f901,plain,( 20.85/3.48 ( ! [X0 : uni] : (mem(tree,t2tb2(tb2t2(X0)),sF22) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f380,f875])). 20.85/3.48 tff(f1805,plain,( 20.85/3.48 spl29_82 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1713,f409,f531,f1803])). 20.85/3.48 tff(f1713,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1696,f411])). 20.85/3.48 tff(f1696,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK9),sF20) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK11(X0)),sF21)) )), 20.85/3.48 inference(subsumption_resolution,[],[f810,f389])). 20.85/3.48 tff(f810,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK11(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0) )), 20.85/3.48 inference(superposition,[],[f779,f388])). 20.85/3.48 tff(f1801,plain,( 20.85/3.48 spl29_81 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1695,f409,f531,f1799])). 20.85/3.48 tff(f1799,definition,( 20.85/3.48 spl29_81 <=> ! [X0 : tree1] : (~$less(0,size1(X0)) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21) | mem(tree,t2tb2(X0),sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_81])],[avatar_definition])). 20.85/3.48 tff(f1695,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,sF25,sF20) | ~$less(0,size1(X0)) | mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1526,f411])). 20.85/3.48 tff(f1526,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK1(X0)),sF21) | mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(sK9),sF20) | ~$less(0,size1(X0)) | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f380,f1173])). 20.85/3.48 tff(f1797,plain,( 20.85/3.48 spl29_80 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1683,f409,f531,f1795])). 20.85/3.48 tff(f1795,definition,( 20.85/3.48 spl29_80 <=> ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | tb2t2(X0) = node1(sK9,sK11(tb2t2(X0))) | ~mem(tree,X0,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_80])],[avatar_definition])). 20.85/3.48 tff(f1683,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | ~mem(tree,sF25,sF20) | tb2t2(X0) = node1(sK9,sK11(tb2t2(X0)))) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f905,f411])). 20.85/3.48 tff(f905,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | tb2t2(X0) = node1(sK9,sK11(tb2t2(X0))) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f745,f875])). 20.85/3.48 tff(f1793,plain,( 20.85/3.48 ~spl29_26 | spl29_79 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1674,f409,f1791,f531])). 20.85/3.48 tff(f1674,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,sF25,sF20) | ~mem(tree,X0,sF23) | sK11(tb2t2(X0)) = sK14(tb2t2(X0)) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f902,f411])). 20.85/3.48 tff(f902,plain,( 20.85/3.48 ( ! [X0 : uni] : (sK11(tb2t2(X0)) = sK14(tb2t2(X0)) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21)) )), 20.85/3.48 inference(superposition,[],[f686,f875])). 20.85/3.48 tff(f1789,plain,( 20.85/3.48 ~spl29_26 | spl29_78 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1687,f409,f1787,f531])). 20.85/3.48 tff(f1787,definition,( 20.85/3.48 spl29_78 <=> ! [X0 : uni] : (tb2t2(X0) = node1(sK9,sK11(tb2t2(X0))) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_78])],[avatar_definition])). 20.85/3.48 tff(f1687,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,sF25,sF20) | tb2t2(X0) = node1(sK9,sK11(tb2t2(X0))) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f872,f411])). 20.85/3.48 tff(f872,plain,( 20.85/3.48 ( ! [X0 : uni] : (tb2t2(X0) = node1(sK9,sK11(tb2t2(X0))) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f745,f855])). 20.85/3.48 tff(f1785,plain,( 20.85/3.48 ~spl29_26 | spl29_77 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1679,f409,f1783,f531])). 20.85/3.48 tff(f1679,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,sF25,sF20) | ~$less(0,size1(X0)) | sK11(X0) = sK1(X0) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK1(X0)),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1527,f411])). 20.85/3.48 tff(f1527,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK1(X0)),sF21) | sK11(X0) = sK1(X0) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | ~$less(0,size1(X0))) )), 20.85/3.48 inference(superposition,[],[f686,f1173])). 20.85/3.48 tff(f1781,plain,( 20.85/3.48 spl29_76 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1711,f409,f531,f1779])). 20.85/3.48 tff(f1711,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK14(X0)) = X0) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1691,f411])). 20.85/3.48 tff(f1691,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | node1(sK12(X0),sK14(X0)) = X0) )), 20.85/3.48 inference(subsumption_resolution,[],[f753,f389])). 20.85/3.48 tff(f753,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK14(X0)) = X0 | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f741,f388])). 20.85/3.48 tff(f1777,plain,( 20.85/3.48 ~spl29_26 | spl29_75 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1673,f409,f1775,f531])). 20.85/3.48 tff(f1673,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),node_proj_21(X0)) = X0 | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f890,f411])). 20.85/3.48 tff(f890,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),node_proj_21(X0)) = X0 | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21)) )), 20.85/3.48 inference(superposition,[],[f741,f860])). 20.85/3.48 tff(f1773,plain,( 20.85/3.48 ~spl29_26 | spl29_74 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1689,f409,f1771,f531])). 20.85/3.48 tff(f1771,definition,( 20.85/3.48 spl29_74 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(sK12(X0)),sF20) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | node1(sK12(X0),sK11(X0)) = X0 | ~$less(0,size1(X0)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_74])],[avatar_definition])). 20.85/3.48 tff(f1689,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK12(X0)),sF20) | ~$less(0,size1(X0)) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK1(X0)),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1531,f411])). 20.85/3.48 tff(f1531,plain,( 20.85/3.48 ( ! [X0 : tree1] : (node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK12(X0)),sF20) | ~$less(0,size1(X0)) | ~mem(tree,t2tb2(sK1(X0)),sF21) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f778,f1173])). 20.85/3.48 tff(f1769,plain,( 20.85/3.48 ~spl29_26 | spl29_73 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1675,f409,f1767,f531])). 20.85/3.48 tff(f1767,definition,( 20.85/3.48 spl29_73 <=> ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | tb2t2(X0) = node1(sK12(tb2t2(X0)),sK14(tb2t2(X0))) | ~mem(tree,X0,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_73])],[avatar_definition])). 20.85/3.48 tff(f1675,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | ~mem(tree,sF25,sF20) | tb2t2(X0) = node1(sK12(tb2t2(X0)),sK14(tb2t2(X0)))) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f904,f411])). 20.85/3.48 tff(f904,plain,( 20.85/3.48 ( ! [X0 : uni] : (tb2t2(X0) = node1(sK12(tb2t2(X0)),sK14(tb2t2(X0))) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21)) )), 20.85/3.48 inference(superposition,[],[f741,f875])). 20.85/3.48 tff(f1765,plain,( 20.85/3.48 spl29_72 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1714,f409,f531,f1763])). 20.85/3.48 tff(f1714,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20) | node1(sK9,sK11(X0)) = X0) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1699,f411])). 20.85/3.48 tff(f1699,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X0),sF23) | node1(sK9,sK11(X0)) = X0) )), 20.85/3.48 inference(subsumption_resolution,[],[f765,f389])). 20.85/3.48 tff(f765,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X0),sF23) | node1(sK9,sK11(X0)) = X0 | ~mem(tree,t2tb2(sK14(X0)),sF21)) )), 20.85/3.48 inference(superposition,[],[f745,f388])). 20.85/3.48 tff(f1761,plain,( 20.85/3.48 ~spl29_26 | spl29_71 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1707,f409,f1759,f531])). 20.85/3.48 tff(f1759,definition,( 20.85/3.48 spl29_71 <=> ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | mem(tree,X0,sF22))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_71])],[avatar_definition])). 20.85/3.48 tff(f1707,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,sF25,sF20) | mem(tree,X0,sF22) | ~mem(tree,X0,sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1672,f411])). 20.85/3.48 tff(f1672,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | mem(tree,X0,sF22) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(forward_demodulation,[],[f868,f337])). 20.85/3.48 tff(f868,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | mem(tree,t2tb2(tb2t2(X0)),sF22) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,X0,sF23)) )), 20.85/3.48 inference(superposition,[],[f380,f855])). 20.85/3.48 tff(f1757,plain,( 20.85/3.48 spl29_70 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1706,f409,f531,f1755])). 20.85/3.48 tff(f1706,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK9 = sK12(X0) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1668,f411])). 20.85/3.48 tff(f1668,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK9 = sK12(X0) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(subsumption_resolution,[],[f742,f389])). 20.85/3.48 tff(f742,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK9 = sK12(X0) | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f695,f388])). 20.85/3.48 tff(f1753,plain,( 20.85/3.48 spl29_69 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1688,f409,f531,f1751])). 20.85/3.48 tff(f1751,definition,( 20.85/3.48 spl29_69 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | sK14(node1(sK9,X0)) = sK11(node1(sK9,X0)) | ~mem(tree,t2tb2(sK11(node1(sK9,X0))),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_69])],[avatar_definition])). 20.85/3.48 tff(f1688,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF21) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK11(node1(sK9,X0))),sF21) | sK14(node1(sK9,X0)) = sK11(node1(sK9,X0))) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f770,f411])). 20.85/3.48 tff(f770,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK11(node1(sK9,X0))),sF21) | ~mem(tree,t2tb2(X0),sF21) | ~mem(tree,t2tb2(sK9),sF20) | sK14(node1(sK9,X0)) = sK11(node1(sK9,X0))) )), 20.85/3.48 inference(superposition,[],[f682,f745])). 20.85/3.48 tff(f682,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK14(node1(sK9,X0)) = X0 | ~mem(tree,t2tb2(X0),sF21)) )), 20.85/3.48 inference(forward_demodulation,[],[f679,f266])). 20.85/3.48 tff(f679,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK14(node1(sK9,X0)) = node_proj_21(node1(sK9,X0)) | ~mem(tree,t2tb2(X0),sF21)) )), 20.85/3.48 inference(resolution,[],[f666,f390])). 20.85/3.48 tff(f1749,plain,( 20.85/3.48 ~spl29_26 | spl29_68 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1693,f409,f1747,f531])). 20.85/3.48 tff(f1693,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK11(X0)),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f893,f411])). 20.85/3.48 tff(f893,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node1(sK12(X0),sK11(X0)) = X0 | ~mem(tree,t2tb2(sK11(X0)),sF21)) )), 20.85/3.48 inference(superposition,[],[f779,f860])). 20.85/3.48 tff(f1745,plain,( 20.85/3.48 spl29_67 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1704,f409,f531,f1743])). 20.85/3.48 tff(f1743,definition,( 20.85/3.48 spl29_67 <=> ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_67])],[avatar_definition])). 20.85/3.48 tff(f1704,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | ~mem(tree,sF25,sF20) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f874,f411])). 20.85/3.48 tff(f874,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK11(tb2t2(X0))),sF21)) )), 20.85/3.48 inference(superposition,[],[f779,f855])). 20.85/3.48 tff(f1741,plain,( 20.85/3.48 ~spl29_26 | spl29_66 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1712,f409,f1739,f531])). 20.85/3.48 tff(f1712,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(X0),sF23) | sK14(X0) = sK11(X0) | ~mem(tree,sF25,sF20)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f1692,f411])). 20.85/3.48 tff(f1692,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(X0),sF23) | sK14(X0) = sK11(X0)) )), 20.85/3.48 inference(subsumption_resolution,[],[f738,f389])). 20.85/3.48 tff(f738,plain,( 20.85/3.48 ( ! [X0 : tree1] : (sK14(X0) = sK11(X0) | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f686,f388])). 20.85/3.48 tff(f1737,plain,( 20.85/3.48 spl29_65 | ~spl29_26 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1698,f409,f531,f1735])). 20.85/3.48 tff(f1735,definition,( 20.85/3.48 spl29_65 <=> ! [X0 : uni] : (~mem(tree,t2tb2(sK12(tb2t2(X0))),sF20) | ~mem(tree,X0,sF23) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_65])],[avatar_definition])). 20.85/3.48 tff(f1698,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK12(tb2t2(X0))),sF20) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,X0,sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f873,f411])). 20.85/3.48 tff(f873,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK9),sF20) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,t2tb2(sK12(tb2t2(X0))),sF20)) )), 20.85/3.48 inference(superposition,[],[f778,f855])). 20.85/3.48 tff(f1733,plain,( 20.85/3.48 ~spl29_26 | spl29_64 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1680,f409,f1731,f531])). 20.85/3.48 tff(f1731,definition,( 20.85/3.48 spl29_64 <=> ! [X0 : uni] : (node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK11(tb2t2(X0))),sF21))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_64])],[avatar_definition])). 20.85/3.48 tff(f1680,plain,( 20.85/3.48 ( ! [X0 : uni] : (node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | ~mem(tree,sF25,sF20) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f907,f411])). 20.85/3.48 tff(f907,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,t2tb2(sK11(tb2t2(X0))),sF21) | node1(sK12(tb2t2(X0)),sK11(tb2t2(X0))) = tb2t2(X0) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f779,f875])). 20.85/3.48 tff(f1729,plain,( 20.85/3.48 ~spl29_26 | spl29_63 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1705,f409,f1727,f531])). 20.85/3.48 tff(f1727,definition,( 20.85/3.48 spl29_63 <=> ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | sK9 = sK12(tb2t2(X0)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_63])],[avatar_definition])). 20.85/3.48 tff(f1705,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | sK9 = sK12(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f903,f411])). 20.85/3.48 tff(f903,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,t2tb2(sK14(tb2t2(X0))),sF21) | sK9 = sK12(tb2t2(X0)) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f695,f875])). 20.85/3.48 tff(f1725,plain,( 20.85/3.48 ~spl29_26 | spl29_62 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1669,f409,f1723,f531])). 20.85/3.48 tff(f1723,definition,( 20.85/3.48 spl29_62 <=> ! [X0 : uni] : (~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | ~mem(tree,X0,sF23) | sK9 = sK12(tb2t2(X0)))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_62])],[avatar_definition])). 20.85/3.48 tff(f1669,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21) | sK9 = sK12(tb2t2(X0)) | ~mem(tree,X0,sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f870,f411])). 20.85/3.48 tff(f870,plain,( 20.85/3.48 ( ! [X0 : uni] : (sK9 = sK12(tb2t2(X0)) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(node_proj_21(tb2t2(X0))),sF21)) )), 20.85/3.48 inference(superposition,[],[f695,f855])). 20.85/3.48 tff(f1721,plain,( 20.85/3.48 ~spl29_26 | spl29_61 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f1676,f409,f1719,f531])). 20.85/3.48 tff(f1719,definition,( 20.85/3.48 spl29_61 <=> ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23) | node_proj_21(X0) = sK11(X0))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_61])],[avatar_definition])). 20.85/3.48 tff(f1676,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node_proj_21(X0) = sK11(X0) | ~mem(tree,sF25,sF20) | ~mem(tree,t2tb2(X0),sF23)) ) | ~spl29_3), 20.85/3.48 inference(forward_demodulation,[],[f888,f411])). 20.85/3.48 tff(f888,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~mem(tree,t2tb2(node_proj_21(X0)),sF21) | node_proj_21(X0) = sK11(X0) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(superposition,[],[f686,f860])). 20.85/3.48 tff(f1709,plain,( 20.85/3.48 ~spl29_3 | ~spl29_24 | spl29_26), 20.85/3.48 inference(avatar_contradiction_clause,[],[f1708])). 20.85/3.48 tff(f1708,plain,( 20.85/3.48 $false | (~spl29_3 | ~spl29_24 | spl29_26)), 20.85/3.48 inference(subsumption_resolution,[],[f1678,f533])). 20.85/3.48 tff(f533,plain,( 20.85/3.48 ~mem(tree,sF25,sF20) | spl29_26), 20.85/3.48 inference(avatar_component_clause,[],[f531])). 20.85/3.48 tff(f1667,plain,( 20.85/3.48 spl29_59 | spl29_60 | ~spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f1552,f444,f1665,f1661])). 20.85/3.48 tff(f1552,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF22) | 0 = size1(sK9) | ~mem(tree,X0,sF23)) ) | ~spl29_10), 20.85/3.48 inference(duplicate_literal_removal,[],[f1543])). 20.85/3.48 tff(f1543,plain,( 20.85/3.48 ( ! [X0 : uni,X1 : tree1] : (~mem(tree,X0,sF22) | 0 = size1(sK9) | ~mem(tree,X0,sF22) | node1(empty1,X1) != tb2t2(X0) | ~mem(tree,X0,sF23)) ) | ~spl29_10), 20.85/3.48 inference(superposition,[],[f1504,f702])). 20.85/3.48 tff(f1659,plain,( 20.85/3.48 ~spl29_13 | ~spl29_15 | ~spl29_21 | spl29_22 | spl29_24), 20.85/3.48 inference(avatar_contradiction_clause,[],[f1658])). 20.85/3.48 tff(f1658,plain,( 20.85/3.48 $false | (~spl29_13 | ~spl29_15 | ~spl29_21 | spl29_22 | spl29_24)), 20.85/3.48 inference(subsumption_resolution,[],[f1657,f506])). 20.85/3.48 tff(f506,plain,( 20.85/3.48 ~distinct(tree,sF24) | spl29_22), 20.85/3.48 inference(avatar_component_clause,[],[f504])). 20.85/3.48 tff(f504,definition,( 20.85/3.48 spl29_22 <=> distinct(tree,sF24)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_22])],[avatar_definition])). 20.85/3.48 tff(f1657,plain,( 20.85/3.48 distinct(tree,sF24) | (~spl29_13 | ~spl29_15 | ~spl29_21 | spl29_24)), 20.85/3.48 inference(forward_demodulation,[],[f1656,f461])). 20.85/3.48 tff(f1656,plain,( 20.85/3.48 distinct(tree,infix_plpl(tree,sF23,sF22)) | (~spl29_15 | ~spl29_21 | spl29_24)), 20.85/3.48 inference(subsumption_resolution,[],[f1655,f501])). 20.85/3.48 tff(f1655,plain,( 20.85/3.48 ~distinct(tree,sF22) | distinct(tree,infix_plpl(tree,sF23,sF22)) | (~spl29_15 | spl29_24)), 20.85/3.48 inference(subsumption_resolution,[],[f1654,f471])). 20.85/3.48 tff(f1654,plain,( 20.85/3.48 ~distinct(tree,sF23) | ~distinct(tree,sF22) | distinct(tree,infix_plpl(tree,sF23,sF22)) | (~spl29_15 | spl29_24)), 20.85/3.48 inference(duplicate_literal_removal,[],[f1653])). 20.85/3.48 tff(f1653,plain,( 20.85/3.48 ~distinct(tree,sF23) | distinct(tree,infix_plpl(tree,sF23,sF22)) | ~distinct(tree,sF22) | distinct(tree,infix_plpl(tree,sF23,sF22)) | ~distinct(tree,sF22) | (~spl29_15 | spl29_24)), 20.85/3.48 inference(resolution,[],[f1329,f260])). 20.85/3.48 tff(f260,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (mem(X1,sK2(X0,X1,X2),X0) | ~distinct(X1,X0) | distinct(X1,infix_plpl(X1,X2,X0)) | ~distinct(X1,X2)) )), 20.85/3.48 inference(cnf_transformation,[],[f189])). 20.85/3.48 tff(f189,plain,( 20.85/3.48 ! [X0 : uni,X1 : ty,X2 : uni] : ((mem(X1,sK2(X0,X1,X2),X0) & mem(X1,sK2(X0,X1,X2),X2) & sort1(X1,sK2(X0,X1,X2))) | distinct(X1,infix_plpl(X1,X2,X0)) | ~distinct(X1,X2) | ~distinct(X1,X0))), 20.85/3.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f187,f188])). 20.85/3.48 tff(f188,plain,( 20.85/3.48 ! [X0 : uni,X1 : ty,X2 : uni] : (? [X3 : uni] : (mem(X1,X3,X0) & mem(X1,X3,X2) & sort1(X1,X3)) => (mem(X1,sK2(X0,X1,X2),X0) & mem(X1,sK2(X0,X1,X2),X2) & sort1(X1,sK2(X0,X1,X2))))), 20.85/3.48 introduced(definition,[],[choice_axiom])). 20.85/3.48 tff(f187,plain,( 20.85/3.48 ! [X0 : uni,X1 : ty,X2 : uni] : (? [X3 : uni] : (mem(X1,X3,X0) & mem(X1,X3,X2) & sort1(X1,X3)) | distinct(X1,infix_plpl(X1,X2,X0)) | ~distinct(X1,X2) | ~distinct(X1,X0))), 20.85/3.48 inference(rectify,[],[f178])). 20.85/3.48 tff(f178,plain,( 20.85/3.48 ! [X2 : uni,X1 : ty,X0 : uni] : (? [X3 : uni] : (mem(X1,X3,X2) & mem(X1,X3,X0) & sort1(X1,X3)) | distinct(X1,infix_plpl(X1,X0,X2)) | ~distinct(X1,X0) | ~distinct(X1,X2))), 20.85/3.48 inference(flattening,[],[f177])). 20.85/3.48 tff(f177,plain,( 20.85/3.48 ! [X1 : ty,X2 : uni,X0 : uni] : (((distinct(X1,infix_plpl(X1,X0,X2)) | ? [X3 : uni] : ((mem(X1,X3,X2) & mem(X1,X3,X0)) & sort1(X1,X3))) | ~distinct(X1,X2)) | ~distinct(X1,X0))), 20.85/3.48 inference(ennf_transformation,[],[f113])). 20.85/3.48 tff(f113,plain,( 20.85/3.48 ! [X1 : ty,X2 : uni,X0 : uni] : (distinct(X1,X0) => (distinct(X1,X2) => (! [X3 : uni] : (sort1(X1,X3) => (mem(X1,X3,X0) => ~mem(X1,X3,X2))) => distinct(X1,infix_plpl(X1,X0,X2)))))), 20.85/3.48 inference(rectify,[],[f19])). 20.85/3.48 tff(f19,axiom,( 20.85/3.48 ! [X15 : uni,X0 : ty,X7 : uni] : (distinct(X0,X15) => (distinct(X0,X7) => (! [X6 : uni] : (sort1(X0,X6) => (mem(X0,X6,X15) => ~mem(X0,X6,X7))) => distinct(X0,infix_plpl(X0,X15,X7)))))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f1329,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,sK2(X0,tree,sF23),sF22) | ~distinct(tree,X0) | distinct(tree,infix_plpl(tree,sF23,X0))) ) | (~spl29_15 | spl29_24)), 20.85/3.48 inference(subsumption_resolution,[],[f1321,f471])). 20.85/3.48 tff(f1321,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,sK2(X0,tree,sF23),sF22) | distinct(tree,infix_plpl(tree,sF23,X0)) | ~distinct(tree,sF23) | ~distinct(tree,X0)) ) | spl29_24), 20.85/3.48 inference(resolution,[],[f259,f712])). 20.85/3.48 tff(f712,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,X0,sF22)) ) | spl29_24), 20.85/3.48 inference(duplicate_literal_removal,[],[f711])). 20.85/3.48 tff(f711,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF23) | ~mem(tree,X0,sF22) | ~mem(tree,X0,sF22)) ) | spl29_24), 20.85/3.48 inference(forward_demodulation,[],[f710,f337])). 20.85/3.48 tff(f710,plain,( 20.85/3.48 ( ! [X0 : uni] : (~mem(tree,X0,sF22) | ~mem(tree,X0,sF23) | ~mem(tree,t2tb2(tb2t2(X0)),sF22)) ) | spl29_24), 20.85/3.48 inference(subsumption_resolution,[],[f707,f520])). 20.85/3.48 tff(f520,plain,( 20.85/3.48 ~mem(tree,t2tb2(sK9),sF20) | spl29_24), 20.85/3.48 inference(avatar_component_clause,[],[f518])). 20.85/3.48 tff(f259,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (mem(X1,sK2(X0,X1,X2),X2) | ~distinct(X1,X2) | ~distinct(X1,X0) | distinct(X1,infix_plpl(X1,X2,X0))) )), 20.85/3.48 inference(cnf_transformation,[],[f189])). 20.85/3.48 tff(f1652,plain,( 20.85/3.48 spl29_58 | spl29_48 | ~spl29_50), 20.85/3.48 inference(avatar_split_clause,[],[f1647,f749,f726,f1649])). 20.85/3.48 tff(f1649,definition,( 20.85/3.48 spl29_58 <=> sF26 = cons(tree,cons_proj_11(tree,sF26),sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_58])],[avatar_definition])). 20.85/3.48 tff(f1647,plain,( 20.85/3.48 sF26 = cons(tree,cons_proj_11(tree,sF26),sF20) | (spl29_48 | ~spl29_50)), 20.85/3.48 inference(subsumption_resolution,[],[f1645,f728])). 20.85/3.48 tff(f1645,plain,( 20.85/3.48 sF26 = cons(tree,cons_proj_11(tree,sF26),sF20) | nil(tree) = sF26 | ~spl29_50), 20.85/3.48 inference(superposition,[],[f322,f751])). 20.85/3.48 tff(f1224,plain,( 20.85/3.48 ~spl29_57 | spl29_56), 20.85/3.48 inference(avatar_split_clause,[],[f1216,f1209,f1220])). 20.85/3.48 tff(f1209,definition,( 20.85/3.48 spl29_56 <=> ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X0) | X0 = X2 | ~sort1(X1,X2))), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_56])],[avatar_definition])). 20.85/3.48 tff(f1216,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (X0 = X2 | ~sort1(X1,X2) | ~mem(tree,t2tb2(empty1),sF22) | ~sort1(X1,X0)) )), 20.85/3.48 inference(superposition,[],[f1158,f362])). 20.85/3.48 tff(f362,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : ty,X1 : uni] : (match_tree1(X0,empty1,X1,X2) = X1 | ~sort1(X0,X1)) )), 20.85/3.48 inference(cnf_transformation,[],[f245])). 20.85/3.48 tff(f245,plain,( 20.85/3.48 ! [X0 : ty,X1 : uni,X2 : uni] : (match_tree1(X0,empty1,X1,X2) = X1 | ~sort1(X0,X1))), 20.85/3.48 inference(rectify,[],[f179])). 20.85/3.48 tff(f179,plain,( 20.85/3.48 ! [X1 : ty,X0 : uni,X2 : uni] : (match_tree1(X1,empty1,X0,X2) = X0 | ~sort1(X1,X0))), 20.85/3.48 inference(ennf_transformation,[],[f109])). 20.85/3.48 tff(f109,plain,( 20.85/3.48 ! [X0 : uni,X2 : uni,X1 : ty] : (sort1(X1,X0) => match_tree1(X1,empty1,X0,X2) = X0)), 20.85/3.48 inference(rectify,[],[f21])). 20.85/3.48 tff(f21,axiom,( 20.85/3.48 ! [X18 : uni,X0 : ty,X19 : uni] : (sort1(X0,X18) => match_tree1(X0,empty1,X18,X19) = X18)), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f1158,plain,( 20.85/3.48 ( ! [X2 : uni,X3 : uni,X0 : tree1,X1 : ty] : (match_tree1(X1,X0,X2,X3) = X3 | ~sort1(X1,X3) | ~mem(tree,t2tb2(X0),sF22)) )), 20.85/3.48 inference(superposition,[],[f327,f381])). 20.85/3.48 tff(f1223,plain,( 20.85/3.48 spl29_56 | ~spl29_57), 20.85/3.48 inference(avatar_split_clause,[],[f1218,f1220,f1209])). 20.85/3.48 tff(f1218,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X2) | ~sort1(X1,X0) | X0 = X2 | ~mem(tree,t2tb2(empty1),sF22)) )), 20.85/3.48 inference(superposition,[],[f362,f1158])). 20.85/3.48 tff(f1212,plain,( 20.85/3.48 spl29_56 | ~spl29_55), 20.85/3.48 inference(avatar_split_clause,[],[f1203,f1205,f1209])). 20.85/3.48 tff(f1205,definition,( 20.85/3.48 spl29_55 <=> mem(tree,t2tb2(empty1),sF23)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_55])],[avatar_definition])). 20.85/3.48 tff(f1203,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X0) | ~mem(tree,t2tb2(empty1),sF23) | ~sort1(X1,X2) | X0 = X2) )), 20.85/3.48 inference(superposition,[],[f362,f1154])). 20.85/3.48 tff(f1154,plain,( 20.85/3.48 ( ! [X2 : uni,X3 : uni,X0 : tree1,X1 : ty] : (match_tree1(X1,X0,X2,X3) = X3 | ~mem(tree,t2tb2(X0),sF23) | ~sort1(X1,X3)) )), 20.85/3.48 inference(superposition,[],[f327,f388])). 20.85/3.48 tff(f1211,plain,( 20.85/3.48 ~spl29_55 | spl29_56), 20.85/3.48 inference(avatar_split_clause,[],[f1201,f1209,f1205])). 20.85/3.48 tff(f1201,plain,( 20.85/3.48 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~sort1(X1,X0) | ~sort1(X1,X2) | X0 = X2 | ~mem(tree,t2tb2(empty1),sF23)) )), 20.85/3.48 inference(superposition,[],[f1154,f362])). 20.85/3.48 tff(f1195,plain,( 20.85/3.48 spl29_54 | ~spl29_20), 20.85/3.48 inference(avatar_split_clause,[],[f1187,f494,f1192])). 20.85/3.48 tff(f1187,plain,( 20.85/3.48 length2(tree,sF26) = $sum(1,length2(tree,sF20)) | ~spl29_20), 20.85/3.48 inference(superposition,[],[f351,f496])). 20.85/3.48 tff(f1022,plain,( 20.85/3.48 spl29_53 | ~spl29_20 | ~spl29_27), 20.85/3.48 inference(avatar_split_clause,[],[f1017,f536,f494,f1019])). 20.85/3.48 tff(f1017,plain,( 20.85/3.48 cons_proj_11(tree,sF26) = sF25 | (~spl29_20 | ~spl29_27)), 20.85/3.48 inference(subsumption_resolution,[],[f1015,f538])). 20.85/3.48 tff(f1015,plain,( 20.85/3.48 ~sort1(tree,sF25) | cons_proj_11(tree,sF26) = sF25 | ~spl29_20), 20.85/3.48 inference(superposition,[],[f308,f496])). 20.85/3.48 tff(f996,plain,( 20.85/3.48 spl29_51 | ~spl29_20 | ~spl29_27), 20.85/3.48 inference(avatar_split_clause,[],[f995,f536,f494,f986])). 20.85/3.48 tff(f995,plain,( 20.85/3.48 mem(tree,sF25,sF26) | (~spl29_20 | ~spl29_27)), 20.85/3.48 inference(subsumption_resolution,[],[f994,f538])). 20.85/3.48 tff(f994,plain,( 20.85/3.48 ~sort1(tree,sF25) | mem(tree,sF25,sF26) | ~spl29_20), 20.85/3.48 inference(superposition,[],[f397,f496])). 20.85/3.48 tff(f993,plain,( 20.85/3.48 spl29_51 | ~spl29_52 | ~spl29_3 | ~spl29_17 | ~spl29_43), 20.85/3.48 inference(avatar_split_clause,[],[f983,f640,f479,f409,f990,f986])). 20.85/3.48 tff(f990,definition,( 20.85/3.48 spl29_52 <=> all_trees1(size1(sK9),sK7)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_52])],[avatar_definition])). 20.85/3.48 tff(f479,definition,( 20.85/3.48 spl29_17 <=> t2tb1(sK7) = sF28), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_17])],[avatar_definition])). 20.85/3.48 tff(f640,definition,( 20.85/3.48 spl29_43 <=> sF26 = sF28), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_43])],[avatar_definition])). 20.85/3.48 tff(f983,plain,( 20.85/3.48 mem(tree,sF25,sF26) | ~all_trees1(size1(sK9),sK7) | (~spl29_3 | ~spl29_17 | ~spl29_43)), 20.85/3.48 inference(superposition,[],[f982,f411])). 20.85/3.48 tff(f982,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF26) | ~all_trees1(size1(X0),sK7)) ) | (~spl29_17 | ~spl29_43)), 20.85/3.48 inference(forward_demodulation,[],[f978,f642])). 20.85/3.48 tff(f642,plain,( 20.85/3.48 sF26 = sF28 | ~spl29_43), 20.85/3.48 inference(avatar_component_clause,[],[f640])). 20.85/3.48 tff(f978,plain,( 20.85/3.48 ( ! [X0 : tree1] : (~all_trees1(size1(X0),sK7) | mem(tree,t2tb2(X0),sF28)) ) | ~spl29_17), 20.85/3.48 inference(superposition,[],[f372,f481])). 20.85/3.48 tff(f481,plain,( 20.85/3.48 t2tb1(sK7) = sF28 | ~spl29_17), 20.85/3.48 inference(avatar_component_clause,[],[f479])). 20.85/3.48 tff(f752,plain,( 20.85/3.48 spl29_50 | ~spl29_20), 20.85/3.48 inference(avatar_split_clause,[],[f746,f494,f749])). 20.85/3.48 tff(f746,plain,( 20.85/3.48 sF20 = cons_proj_21(tree,sF26) | ~spl29_20), 20.85/3.48 inference(superposition,[],[f328,f496])). 20.85/3.48 tff(f737,plain,( 20.85/3.48 spl29_49 | ~spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f730,f459,f734])). 20.85/3.48 tff(f734,definition,( 20.85/3.48 spl29_49 <=> sort1(list(tree),sF24)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_49])],[avatar_definition])). 20.85/3.48 tff(f730,plain,( 20.85/3.48 sort1(list(tree),sF24) | ~spl29_13), 20.85/3.48 inference(superposition,[],[f354,f461])). 20.85/3.48 tff(f354,plain,( 20.85/3.48 ( ! [X2 : ty,X0 : uni,X1 : uni] : (sort1(list(X2),infix_plpl(X2,X1,X0))) )), 20.85/3.48 inference(cnf_transformation,[],[f239])). 20.85/3.48 tff(f239,plain,( 20.85/3.48 ! [X0 : uni,X1 : uni,X2 : ty] : sort1(list(X2),infix_plpl(X2,X1,X0))), 20.85/3.48 inference(rectify,[],[f118])). 20.85/3.48 tff(f118,plain,( 20.85/3.48 ! [X2 : uni,X1 : uni,X0 : ty] : sort1(list(X0),infix_plpl(X0,X1,X2))), 20.85/3.48 inference(rectify,[],[f59])). 20.85/3.48 tff(f59,axiom,( 20.85/3.48 ! [X0 : ty,X6 : uni,X8 : uni] : sort1(list(X0),infix_plpl(X0,X6,X8))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f729,plain,( 20.85/3.48 ~spl29_48 | ~spl29_20), 20.85/3.48 inference(avatar_split_clause,[],[f724,f494,f726])). 20.85/3.48 tff(f724,plain,( 20.85/3.48 nil(tree) != sF26 | ~spl29_20), 20.85/3.48 inference(superposition,[],[f338,f496])). 20.85/3.48 tff(f691,plain,( 20.85/3.48 ~spl29_36 | spl29_47 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f684,f409,f688,f594])). 20.85/3.48 tff(f684,plain,( 20.85/3.48 ~mem(tree,sF25,sF22) | sK11(sK9) = node_proj_21(sK9) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f667,f411])). 20.85/3.48 tff(f660,plain,( 20.85/3.48 spl29_46 | ~spl29_2 | ~spl29_43), 20.85/3.48 inference(avatar_split_clause,[],[f655,f640,f404,f657])). 20.85/3.48 tff(f404,definition,( 20.85/3.48 spl29_2 <=> distinct(tree,sF28)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_2])],[avatar_definition])). 20.85/3.48 tff(f655,plain,( 20.85/3.48 distinct(tree,sF26) | (~spl29_2 | ~spl29_43)), 20.85/3.48 inference(superposition,[],[f406,f642])). 20.85/3.48 tff(f406,plain,( 20.85/3.48 distinct(tree,sF28) | ~spl29_2), 20.85/3.48 inference(avatar_component_clause,[],[f404])). 20.85/3.48 tff(f654,plain,( 20.85/3.48 spl29_45 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f649,f409,f651])). 20.85/3.48 tff(f649,plain,( 20.85/3.48 sK9 = tb2t2(sF25) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f320,f411])). 20.85/3.48 tff(f648,plain,( 20.85/3.48 spl29_44 | ~spl29_42), 20.85/3.48 inference(avatar_split_clause,[],[f637,f631,f645])). 20.85/3.48 tff(f645,definition,( 20.85/3.48 spl29_44 <=> sort1(list(tree),sF26)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_44])],[avatar_definition])). 20.85/3.48 tff(f631,definition,( 20.85/3.48 spl29_42 <=> sF26 = t2tb1(sK7)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_42])],[avatar_definition])). 20.85/3.48 tff(f637,plain,( 20.85/3.48 sort1(list(tree),sF26) | ~spl29_42), 20.85/3.48 inference(superposition,[],[f280,f633])). 20.85/3.48 tff(f633,plain,( 20.85/3.48 sF26 = t2tb1(sK7) | ~spl29_42), 20.85/3.48 inference(avatar_component_clause,[],[f631])). 20.85/3.48 tff(f280,plain,( 20.85/3.48 ( ! [X0 : list_tree] : (sort1(list(tree),t2tb1(X0))) )), 20.85/3.48 inference(cnf_transformation,[],[f128])). 20.85/3.48 tff(f128,plain,( 20.85/3.48 ! [X0 : list_tree] : sort1(list(tree),t2tb1(X0))), 20.85/3.48 inference(rectify,[],[f15])). 20.85/3.48 tff(f15,axiom,( 20.85/3.48 ! [X6 : list_tree] : sort1(list(tree),t2tb1(X6))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f643,plain,( 20.85/3.48 spl29_43 | ~spl29_17 | ~spl29_42), 20.85/3.48 inference(avatar_split_clause,[],[f636,f631,f479,f640])). 20.85/3.48 tff(f636,plain,( 20.85/3.48 sF26 = sF28 | (~spl29_17 | ~spl29_42)), 20.85/3.48 inference(superposition,[],[f481,f633])). 20.85/3.48 tff(f634,plain,( 20.85/3.48 spl29_42 | ~spl29_28), 20.85/3.48 inference(avatar_split_clause,[],[f628,f543,f631])). 20.85/3.48 tff(f543,definition,( 20.85/3.48 spl29_28 <=> tb2t1(sF26) = sK7), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_28])],[avatar_definition])). 20.85/3.48 tff(f628,plain,( 20.85/3.48 sF26 = t2tb1(sK7) | ~spl29_28), 20.85/3.48 inference(superposition,[],[f318,f545])). 20.85/3.48 tff(f545,plain,( 20.85/3.48 tb2t1(sF26) = sK7 | ~spl29_28), 20.85/3.48 inference(avatar_component_clause,[],[f543])). 20.85/3.48 tff(f627,plain,( 20.85/3.48 spl29_41 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f602,f399,f624])). 20.85/3.48 tff(f624,definition,( 20.85/3.48 spl29_41 <=> sort1(list(tree),sF23)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_41])],[avatar_definition])). 20.85/3.48 tff(f602,plain,( 20.85/3.48 sort1(list(tree),sF23) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f280,f401])). 20.85/3.48 tff(f622,plain,( 20.85/3.48 spl29_40 | ~spl29_7), 20.85/3.48 inference(avatar_split_clause,[],[f600,f429,f619])). 20.85/3.48 tff(f619,definition,( 20.85/3.48 spl29_40 <=> sort1(list(tree),sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_40])],[avatar_definition])). 20.85/3.48 tff(f600,plain,( 20.85/3.48 sort1(list(tree),sF20) | ~spl29_7), 20.85/3.48 inference(superposition,[],[f280,f431])). 20.85/3.48 tff(f617,plain,( 20.85/3.48 spl29_39 | ~spl29_16), 20.85/3.48 inference(avatar_split_clause,[],[f601,f474,f614])). 20.85/3.48 tff(f614,definition,( 20.85/3.48 spl29_39 <=> sort1(list(tree),sF22)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_39])],[avatar_definition])). 20.85/3.48 tff(f601,plain,( 20.85/3.48 sort1(list(tree),sF22) | ~spl29_16), 20.85/3.48 inference(superposition,[],[f280,f476])). 20.85/3.48 tff(f612,plain,( 20.85/3.48 spl29_38 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f598,f454,f609])). 20.85/3.48 tff(f609,definition,( 20.85/3.48 spl29_38 <=> sort1(list(tree),sF21)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_38])],[avatar_definition])). 20.85/3.48 tff(f598,plain,( 20.85/3.48 sort1(list(tree),sF21) | ~spl29_12), 20.85/3.48 inference(superposition,[],[f280,f456])). 20.85/3.48 tff(f607,plain,( 20.85/3.48 spl29_37 | ~spl29_17), 20.85/3.48 inference(avatar_split_clause,[],[f599,f479,f604])). 20.85/3.48 tff(f604,definition,( 20.85/3.48 spl29_37 <=> sort1(list(tree),sF28)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_37])],[avatar_definition])). 20.85/3.48 tff(f599,plain,( 20.85/3.48 sort1(list(tree),sF28) | ~spl29_17), 20.85/3.48 inference(superposition,[],[f280,f481])). 20.85/3.48 tff(f597,plain,( 20.85/3.48 ~spl29_36 | ~spl29_30 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f592,f409,f557,f594])). 20.85/3.48 tff(f592,plain,( 20.85/3.48 ~mem(tree,sF25,sF22) | empty1 != sK9 | ~spl29_3), 20.85/3.48 inference(superposition,[],[f548,f411])). 20.85/3.48 tff(f590,plain,( 20.85/3.48 spl29_35 | ~spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f565,f399,f587])). 20.85/3.48 tff(f587,definition,( 20.85/3.48 spl29_35 <=> sK13 = tb2t1(sF23)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_35])],[avatar_definition])). 20.85/3.48 tff(f565,plain,( 20.85/3.48 sK13 = tb2t1(sF23) | ~spl29_1), 20.85/3.48 inference(superposition,[],[f271,f401])). 20.85/3.48 tff(f585,plain,( 20.85/3.48 spl29_34 | ~spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f561,f454,f582])). 20.85/3.48 tff(f561,plain,( 20.85/3.48 tb2t1(sF21) = sK5 | ~spl29_12), 20.85/3.48 inference(superposition,[],[f271,f456])). 20.85/3.48 tff(f580,plain,( 20.85/3.48 spl29_33 | ~spl29_7), 20.85/3.48 inference(avatar_split_clause,[],[f563,f429,f577])). 20.85/3.48 tff(f577,definition,( 20.85/3.48 spl29_33 <=> sK8 = tb2t1(sF20)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_33])],[avatar_definition])). 20.85/3.48 tff(f563,plain,( 20.85/3.48 sK8 = tb2t1(sF20) | ~spl29_7), 20.85/3.48 inference(superposition,[],[f271,f431])). 20.85/3.48 tff(f575,plain,( 20.85/3.48 spl29_32 | ~spl29_16), 20.85/3.48 inference(avatar_split_clause,[],[f564,f474,f572])). 20.85/3.48 tff(f564,plain,( 20.85/3.48 tb2t1(sF22) = sK10 | ~spl29_16), 20.85/3.48 inference(superposition,[],[f271,f476])). 20.85/3.48 tff(f570,plain,( 20.85/3.48 spl29_31 | ~spl29_17), 20.85/3.48 inference(avatar_split_clause,[],[f562,f479,f567])). 20.85/3.48 tff(f567,definition,( 20.85/3.48 spl29_31 <=> tb2t1(sF28) = sK7), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_31])],[avatar_definition])). 20.85/3.48 tff(f562,plain,( 20.85/3.48 tb2t1(sF28) = sK7 | ~spl29_17), 20.85/3.48 inference(superposition,[],[f271,f481])). 20.85/3.48 tff(f560,plain,( 20.85/3.48 ~spl29_29 | ~spl29_30 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f551,f409,f557,f553])). 20.85/3.48 tff(f551,plain,( 20.85/3.48 ~mem(tree,sF25,sF23) | empty1 != sK9 | ~spl29_3), 20.85/3.48 inference(superposition,[],[f547,f411])). 20.85/3.48 tff(f546,plain,( 20.85/3.48 spl29_28 | ~spl29_8 | ~spl29_19), 20.85/3.48 inference(avatar_split_clause,[],[f541,f489,f434,f543])). 20.85/3.48 tff(f434,definition,( 20.85/3.48 spl29_8 <=> sF27 = sK7), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_8])],[avatar_definition])). 20.85/3.48 tff(f489,definition,( 20.85/3.48 spl29_19 <=> tb2t1(sF26) = sF27), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_19])],[avatar_definition])). 20.85/3.48 tff(f541,plain,( 20.85/3.48 tb2t1(sF26) = sK7 | (~spl29_8 | ~spl29_19)), 20.85/3.48 inference(forward_demodulation,[],[f491,f436])). 20.85/3.48 tff(f436,plain,( 20.85/3.48 sF27 = sK7 | ~spl29_8), 20.85/3.48 inference(avatar_component_clause,[],[f434])). 20.85/3.48 tff(f491,plain,( 20.85/3.48 tb2t1(sF26) = sF27 | ~spl29_19), 20.85/3.48 inference(avatar_component_clause,[],[f489])). 20.85/3.48 tff(f539,plain,( 20.85/3.48 spl29_27 | ~spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f529,f409,f536])). 20.85/3.48 tff(f529,plain,( 20.85/3.48 sort1(tree,sF25) | ~spl29_3), 20.85/3.48 inference(superposition,[],[f335,f411])). 20.85/3.48 tff(f534,plain,( 20.85/3.48 ~spl29_26 | ~spl29_3 | spl29_24), 20.85/3.48 inference(avatar_split_clause,[],[f528,f518,f409,f531])). 20.85/3.48 tff(f528,plain,( 20.85/3.48 ~mem(tree,sF25,sF20) | (~spl29_3 | spl29_24)), 20.85/3.48 inference(superposition,[],[f520,f411])). 20.85/3.48 tff(f524,plain,( 20.85/3.48 ~spl29_24 | spl29_25), 20.85/3.48 inference(avatar_split_clause,[],[f516,f522,f518])). 20.85/3.48 tff(f516,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(X0),sF23) | ~mem(tree,t2tb2(sK9),sF20)) )), 20.85/3.48 inference(subsumption_resolution,[],[f514,f389])). 20.85/3.48 tff(f514,plain,( 20.85/3.48 ( ! [X0 : tree1] : (mem(tree,t2tb2(X0),sF22) | ~mem(tree,t2tb2(sK9),sF20) | ~mem(tree,t2tb2(sK14(X0)),sF21) | ~mem(tree,t2tb2(X0),sF23)) )), 20.85/3.48 inference(superposition,[],[f380,f388])). 20.85/3.48 tff(f512,plain,( 20.85/3.48 spl29_23), 20.85/3.48 inference(avatar_split_clause,[],[f375,f509])). 20.85/3.48 tff(f375,plain,( 20.85/3.48 distinct(tree,sF20)), 20.85/3.48 inference(definition_folding,[],[f300,f374])). 20.85/3.48 tff(f300,plain,( 20.85/3.48 distinct(tree,t2tb1(sK8))), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f507,plain,( 20.85/3.48 ~spl29_22), 20.85/3.48 inference(avatar_split_clause,[],[f386,f504])). 20.85/3.48 tff(f386,plain,( 20.85/3.48 ~distinct(tree,sF24)), 20.85/3.48 inference(definition_folding,[],[f293,f385,f378,f384])). 20.85/3.48 tff(f385,definition,( 20.85/3.48 infix_plpl(tree,sF23,sF22) = sF24), 20.85/3.48 introduced(definition,[new_symbols(definition,[sF24])],[function_definition])). 20.85/3.48 tff(f293,plain,( 20.85/3.48 ~distinct(tree,infix_plpl(tree,t2tb1(sK13),t2tb1(sK10)))), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f502,plain,( 20.85/3.48 spl29_21), 20.85/3.48 inference(avatar_split_clause,[],[f379,f499])). 20.85/3.48 tff(f379,plain,( 20.85/3.48 distinct(tree,sF22)), 20.85/3.48 inference(definition_folding,[],[f298,f378])). 20.85/3.48 tff(f298,plain,( 20.85/3.48 distinct(tree,t2tb1(sK10))), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f497,plain,( 20.85/3.48 spl29_20), 20.85/3.48 inference(avatar_split_clause,[],[f392,f494])). 20.85/3.48 tff(f392,definition,( 20.85/3.48 sF26 = cons(tree,sF25,sF20)), 20.85/3.48 introduced(definition,[new_symbols(definition,[sF26])],[function_definition])). 20.85/3.48 tff(f492,plain,( 20.85/3.48 spl29_19), 20.85/3.48 inference(avatar_split_clause,[],[f393,f489])). 20.85/3.48 tff(f393,definition,( 20.85/3.48 tb2t1(sF26) = sF27), 20.85/3.48 introduced(definition,[new_symbols(definition,[sF27])],[function_definition])). 20.85/3.48 tff(f487,plain,( 20.85/3.48 spl29_18), 20.85/3.48 inference(avatar_split_clause,[],[f377,f484])). 20.85/3.48 tff(f377,plain,( 20.85/3.48 distinct(tree,sF21)), 20.85/3.48 inference(definition_folding,[],[f299,f376])). 20.85/3.48 tff(f299,plain,( 20.85/3.48 distinct(tree,t2tb1(sK5))), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f482,plain,( 20.85/3.48 spl29_17), 20.85/3.48 inference(avatar_split_clause,[],[f395,f479])). 20.85/3.48 tff(f395,definition,( 20.85/3.48 t2tb1(sK7) = sF28), 20.85/3.48 introduced(definition,[new_symbols(definition,[sF28])],[function_definition])). 20.85/3.48 tff(f477,plain,( 20.85/3.48 spl29_16), 20.85/3.48 inference(avatar_split_clause,[],[f378,f474])). 20.85/3.48 tff(f472,plain,( 20.85/3.48 spl29_15), 20.85/3.48 inference(avatar_split_clause,[],[f387,f469])). 20.85/3.48 tff(f387,plain,( 20.85/3.48 distinct(tree,sF23)), 20.85/3.48 inference(definition_folding,[],[f292,f384])). 20.85/3.48 tff(f292,plain,( 20.85/3.48 distinct(tree,t2tb1(sK13))), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f467,plain,( 20.85/3.48 ~spl29_14), 20.85/3.48 inference(avatar_split_clause,[],[f286,f464])). 20.85/3.48 tff(f464,definition,( 20.85/3.48 spl29_14 <=> $less(sK6,0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_14])],[avatar_definition])). 20.85/3.48 tff(f286,plain,( 20.85/3.48 ~$less(sK6,0)), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f462,plain,( 20.85/3.48 spl29_13), 20.85/3.48 inference(avatar_split_clause,[],[f385,f459])). 20.85/3.48 tff(f457,plain,( 20.85/3.48 spl29_12), 20.85/3.48 inference(avatar_split_clause,[],[f376,f454])). 20.85/3.48 tff(f452,plain,( 20.85/3.48 spl29_11), 20.85/3.48 inference(avatar_split_clause,[],[f361,f449])). 20.85/3.48 tff(f361,plain,( 20.85/3.48 all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),nil(tree))))), 20.85/3.48 inference(cnf_transformation,[],[f37])). 20.85/3.48 tff(f37,axiom,( 20.85/3.48 all_trees1(0,tb2t1(cons(tree,t2tb2(empty1),nil(tree))))), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f447,plain,( 20.85/3.48 spl29_10), 20.85/3.48 inference(avatar_split_clause,[],[f304,f444])). 20.85/3.48 tff(f304,plain,( 20.85/3.48 size1(empty1) = 0), 20.85/3.48 inference(cnf_transformation,[],[f140])). 20.85/3.48 tff(f442,plain,( 20.85/3.48 ~spl29_9), 20.85/3.48 inference(avatar_split_clause,[],[f303,f439])). 20.85/3.48 tff(f439,definition,( 20.85/3.48 spl29_9 <=> $less(sK4,0)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_9])],[avatar_definition])). 20.85/3.48 tff(f303,plain,( 20.85/3.48 ~$less(sK4,0)), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f437,plain,( 20.85/3.48 spl29_8), 20.85/3.48 inference(avatar_split_clause,[],[f394,f434])). 20.85/3.48 tff(f394,plain,( 20.85/3.48 sF27 = sK7), 20.85/3.48 inference(definition_folding,[],[f288,f393,f392,f374,f391])). 20.85/3.48 tff(f391,definition,( 20.85/3.48 t2tb2(sK9) = sF25), 20.85/3.48 introduced(definition,[new_symbols(definition,[sF25])],[function_definition])). 20.85/3.48 tff(f288,plain,( 20.85/3.48 tb2t1(cons(tree,t2tb2(sK9),t2tb1(sK8))) = sK7), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f432,plain,( 20.85/3.48 spl29_7), 20.85/3.48 inference(avatar_split_clause,[],[f374,f429])). 20.85/3.48 tff(f427,plain,( 20.85/3.48 spl29_6), 20.85/3.48 inference(avatar_split_clause,[],[f301,f424])). 20.85/3.48 tff(f301,plain,( 20.85/3.48 all_trees1(sK6,sK5)), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f422,plain,( 20.85/3.48 ~spl29_5), 20.85/3.48 inference(avatar_split_clause,[],[f332,f419])). 20.85/3.48 tff(f419,definition,( 20.85/3.48 spl29_5 <=> true1 = false1), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_5])],[avatar_definition])). 20.85/3.48 tff(f332,plain,( 20.85/3.48 true1 != false1), 20.85/3.48 inference(cnf_transformation,[],[f66])). 20.85/3.48 tff(f66,axiom,( 20.85/3.48 true1 != false1), 20.85/3.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 20.85/3.48 tff(f417,plain,( 20.85/3.48 spl29_4), 20.85/3.48 inference(avatar_split_clause,[],[f302,f414])). 20.85/3.48 tff(f414,definition,( 20.85/3.48 spl29_4 <=> all_trees1(sK4,sK3)), 20.85/3.48 introduced(definition,[new_symbols(naming,[spl29_4])],[avatar_definition])). 20.85/3.48 tff(f302,plain,( 20.85/3.48 all_trees1(sK4,sK3)), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f412,plain,( 20.85/3.48 spl29_3), 20.85/3.48 inference(avatar_split_clause,[],[f391,f409])). 20.85/3.48 tff(f407,plain,( 20.85/3.48 spl29_2), 20.85/3.48 inference(avatar_split_clause,[],[f396,f404])). 20.85/3.48 tff(f396,plain,( 20.85/3.48 distinct(tree,sF28)), 20.85/3.48 inference(definition_folding,[],[f287,f395])). 20.85/3.48 tff(f287,plain,( 20.85/3.48 distinct(tree,t2tb1(sK7))), 20.85/3.48 inference(cnf_transformation,[],[f215])). 20.85/3.48 tff(f402,plain,( 20.85/3.48 spl29_1), 20.85/3.48 inference(avatar_split_clause,[],[f384,f399])). 20.85/3.48 % SZS output end Proof for theBenchmark 20.85/3.48 % (29513)------------------------------ 20.85/3.48 % (29513)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 20.85/3.48 % (29513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.85/3.48 % (29513)Termination reason: Refutation 20.85/3.48 20.85/3.48 % (29513)Time elapsed: 0.764 s 20.85/3.48 % (29513)Peak memory usage: 37 MB 20.85/3.48 % (29513)Instructions burned: 2626 (million) 20.85/3.48 % (29513)------------------------------ 20.85/3.48 % (29513)------------------------------ 20.85/3.48 % (29076)Success in time 3.148 s 20.85/3.48 EOF