%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP003_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:27:42 AM UTC 2026
% Result : Theorem 111.38s 16.69s
% Output : Refutation 112.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP003_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 11:52:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/1.89 % (2706053)Detected formulas, will run a generic FOF schedule.
% 5.85/1.89 % (2706064)dis-21_1_sil=8000:lcm=predicate:random_seed=1230504206:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.85/1.89 % (2706060)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=567513384:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.85/1.89 % (2706058)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1053043822:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.85/1.89 % (2706061)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1697943611:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.85/1.89 % (2706059)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=873650242:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.85/1.89 % (2706063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=954347340:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.85/1.89 % (2706061)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.85/1.89 % (2706061)Refutation not found, incomplete strategy
% 5.85/1.89 % (2706061)------------------------------
% 5.85/1.89 % (2706061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.89 % (2706061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.89 % (2706061)CaDiCaL version: 2.1.3
% 5.85/1.89 % (2706061)Termination reason: Refutation not found, incomplete strategy
% 5.85/1.89 % (2706061)Time elapsed: 0.003 s
% 5.85/1.89 % (2706061)Peak memory usage: 88 MB
% 5.85/1.89 % (2706061)Instructions burned: 3 (million)
% 5.85/1.89 % (2706060)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.85/1.89 % (2706064)Instruction limit reached!
% 5.85/1.89 % (2706064)------------------------------
% 5.85/1.89 % (2706064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.89 % (2706064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.89 % (2706064)CaDiCaL version: 2.1.3
% 5.85/1.89 % (2706064)Termination reason: Instruction limit
% 5.85/1.89 % (2706064)Termination phase: Saturation
% 5.85/1.89 % (2706064)Time elapsed: 0.043 s
% 5.85/1.89 % (2706064)Peak memory usage: 90 MB
% 5.85/1.89 % (2706064)Instructions burned: 131 (million)
% 5.85/1.89 % (2706062)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1946849950:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.85/1.89 % (2706062)Instruction limit reached!
% 5.85/1.89 % (2706062)------------------------------
% 5.85/1.89 % (2706062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.89 % (2706062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.89 % (2706062)CaDiCaL version: 2.1.3
% 5.85/1.89 % (2706062)Termination reason: Instruction limit
% 5.85/1.89 % (2706062)Termination phase: Saturation
% 5.85/1.89 % (2706062)Time elapsed: 0.066 s
% 5.85/1.89 % (2706062)Peak memory usage: 88 MB
% 5.85/1.89 % (2706062)Instructions burned: 120 (million)
% 5.85/1.89 % (2706063)Instruction limit reached!
% 5.85/1.89 % (2706063)------------------------------
% 5.85/1.89 % (2706063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.89 % (2706063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.89 % (2706063)CaDiCaL version: 2.1.3
% 5.85/1.89 % (2706063)Termination reason: Instruction limit
% 5.85/1.89 % (2706063)Termination phase: Saturation
% 5.85/1.89 % (2706063)Time elapsed: 0.093 s
% 5.85/1.89 % (2706063)Peak memory usage: 90 MB
% 5.85/1.89 % (2706063)Instructions burned: 140 (million)
% 5.85/1.89 % (2706072)lrs+10_1_sil=8000:sp=occurrence:random_seed=2782084632:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.85/1.89 % (2706072)Instruction limit reached!
% 5.85/1.89 % (2706072)------------------------------
% 5.85/1.89 % (2706072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.89 % (2706072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.89 % (2706072)CaDiCaL version: 2.1.3
% 9.19/2.19 % (2706072)Termination reason: Instruction limit
% 9.19/2.19 % (2706072)Termination phase: Saturation
% 9.19/2.19 % (2706072)Time elapsed: 0.089 s
% 9.19/2.19 % (2706072)Peak memory usage: 90 MB
% 9.19/2.19 % (2706072)Instructions burned: 289 (million)
% 9.19/2.19 % (2706073)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2592085512:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.19/2.19 % (2706074)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3981162184:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.19/2.19 % (2706061)------------------------------
% 9.19/2.19 % (2706061)------------------------------
% 9.19/2.19 % (2706076)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=765050931:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.19/2.19 % (2706073)Instruction limit reached!
% 9.19/2.19 % (2706073)------------------------------
% 9.19/2.19 % (2706073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.19 % (2706073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.19 % (2706073)CaDiCaL version: 2.1.3
% 9.19/2.19 % (2706073)Termination reason: Instruction limit
% 9.19/2.19 % (2706073)Termination phase: Saturation
% 9.19/2.19 % (2706073)Time elapsed: 0.081 s
% 9.19/2.19 % (2706073)Peak memory usage: 90 MB
% 9.19/2.19 % (2706073)Instructions burned: 158 (million)
% 9.19/2.19 % (2706076)Instruction limit reached!
% 9.19/2.19 % (2706076)------------------------------
% 9.19/2.19 % (2706076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.19 % (2706076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.19 % (2706076)CaDiCaL version: 2.1.3
% 9.19/2.19 % (2706076)Termination reason: Instruction limit
% 9.19/2.19 % (2706076)Termination phase: Saturation
% 9.19/2.19 % (2706076)Time elapsed: 0.073 s
% 9.19/2.19 % (2706076)Peak memory usage: 92 MB
% 9.19/2.19 % (2706076)Instructions burned: 250 (million)
% 9.19/2.19 % Exception at run slice level% Exception at run slice level
% 9.19/2.19
% 9.19/2.19 User error: User error: GNN currently only supports monomorphic FOL.GNN currently only supports monomorphic FOL.
% 9.19/2.19
% 9.19/2.19 % Exception at run slice level
% 9.19/2.19 User error: GNN currently only supports monomorphic FOL.
% 9.19/2.19 % (2706079)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3970155854:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.19/2.19 % (2706079)Refutation not found, incomplete strategy
% 9.19/2.19 % (2706079)------------------------------
% 9.19/2.19 % (2706079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.19 % (2706079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.19 % (2706079)CaDiCaL version: 2.1.3
% 9.19/2.19 % (2706079)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.19 % (2706079)Time elapsed: 0.008 s
% 9.19/2.19 % (2706079)Peak memory usage: 89 MB
% 9.19/2.19 % (2706079)Instructions burned: 11 (million)
% 9.19/2.19 % (2706081)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3047638318:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.19/2.19 % (2706074)Instruction limit reached!
% 9.19/2.19 % (2706074)------------------------------
% 9.19/2.19 % (2706074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.19 % (2706074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.19 % (2706074)CaDiCaL version: 2.1.3
% 9.19/2.19 % (2706074)Termination reason: Instruction limit
% 9.19/2.19 % (2706074)Termination phase: Saturation
% 9.19/2.19 % (2706074)Time elapsed: 0.195 s
% 9.19/2.19 % (2706074)Peak memory usage: 91 MB
% 9.19/2.19 % (2706074)Instructions burned: 326 (million)
% 9.19/2.19 % (2706082)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2918855047:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 9.19/2.19 % (2706082)Refutation not found, incomplete strategy
% 9.19/2.19 % (2706082)------------------------------
% 9.19/2.19 % (2706082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.19 % (2706082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.19 % (2706082)CaDiCaL version: 2.1.3
% 9.19/2.19 % (2706082)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.19 % (2706082)Time elapsed: 0.005 s
% 9.19/2.19 % (2706082)Peak memory usage: 89 MB
% 9.19/2.19 % (2706082)Instructions burned: 14 (million)
% 10.31/2.44 % (2706085)lrs+10_1_sil=8000:sp=occurrence:random_seed=3581535106:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 10.31/2.44 % (2706083)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2485150486:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.31/2.44 % (2706084)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2547183039:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.31/2.44 % (2706083)Refutation not found, incomplete strategy
% 10.31/2.44 % (2706083)------------------------------
% 10.31/2.44 % (2706083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.44 % (2706083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.44 % (2706083)CaDiCaL version: 2.1.3
% 10.31/2.44 % (2706083)Termination reason: Refutation not found, incomplete strategy
% 10.31/2.44 % (2706083)Time elapsed: 0.009 s
% 10.31/2.44 % (2706083)Peak memory usage: 88 MB
% 10.31/2.44 % (2706083)Instructions burned: 15 (million)
% 10.31/2.44 % (2706084)Instruction limit reached!
% 10.31/2.44 % (2706084)------------------------------
% 10.31/2.44 % (2706084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.44 % (2706084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.44 % (2706084)CaDiCaL version: 2.1.3
% 10.31/2.44 % (2706084)Termination reason: Instruction limit
% 10.31/2.44 % (2706084)Termination phase: Saturation
% 10.31/2.44 % (2706084)Time elapsed: 0.059 s
% 10.31/2.44 % (2706084)Peak memory usage: 89 MB
% 10.31/2.44 % (2706084)Instructions burned: 115 (million)
% 10.31/2.44 % (2706088)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2380027608:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 10.31/2.44 % (2706088)Refutation not found, incomplete strategy
% 10.31/2.44 % (2706088)------------------------------
% 10.31/2.44 % (2706088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.44 % (2706088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.44 % (2706088)CaDiCaL version: 2.1.3
% 10.31/2.44 % (2706088)Termination reason: Refutation not found, incomplete strategy
% 10.31/2.44 % (2706088)Time elapsed: 0.008 s
% 10.31/2.44 % (2706088)Peak memory usage: 89 MB
% 10.31/2.44 % (2706088)Instructions burned: 13 (million)
% 10.31/2.44 % (2706082)------------------------------
% 10.31/2.44 % (2706082)------------------------------
% 10.31/2.44 % (2706079)------------------------------
% 10.31/2.44 % (2706079)------------------------------
% 10.31/2.44 % (2706095)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1496829975:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 10.31/2.44 % (2706093)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=976419859:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.31/2.44 % (2706095)Instruction limit reached!
% 10.31/2.44 % (2706095)------------------------------
% 10.31/2.44 % (2706095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.44 % (2706095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.44 % (2706095)CaDiCaL version: 2.1.3
% 10.31/2.44 % (2706095)Termination reason: Instruction limit
% 10.31/2.44 % (2706095)Termination phase: Saturation
% 10.31/2.44 % (2706095)Time elapsed: 0.038 s
% 10.31/2.44 % (2706095)Peak memory usage: 91 MB
% 10.31/2.44 % (2706095)Instructions burned: 134 (million)
% 10.31/2.44 % (2706083)------------------------------
% 10.31/2.44 % (2706083)------------------------------
% 10.31/2.44 % (2706096)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=521883629:st=8:i=592:sd=3:ep=RST:ss=axioms_2992 on theBenchmark for (2992ds/592Mi)
% 10.31/2.44 % Exception at run slice level
% 10.31/2.44 User error: GNN currently only supports monomorphic FOL.
% 10.31/2.44 % (2706099)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1428591940:st=3:i=13193:sd=3:ss=axioms_2991 on theBenchmark for (2991ds/13193Mi)
% 10.31/2.44 % (2706088)------------------------------
% 10.31/2.44 % (2706088)------------------------------
% 10.31/2.44 % (2706100)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3992232970:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/125Mi)
% 10.31/2.44 % (2706100)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.81/2.98 % (2706102)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1359742714:i=134:gtgl=5:slsql=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/134Mi)
% 12.81/2.98 % Exception at run slice level
% 12.81/2.98 User error: Immediate (shared) subterms of term/literal app_2E2(X1,X0,sF40(X0,X1,X2),X3) = sF41(X1,X0,X2,X3) have different types/not well-typed!
% 12.81/2.98 % (2706104)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3724455263:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/141Mi)
% 12.81/2.98 % (2706100)Instruction limit reached!
% 12.81/2.98 % (2706100)------------------------------
% 12.81/2.98 % (2706100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.98 % (2706100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.98 % (2706100)CaDiCaL version: 2.1.3
% 12.81/2.98 % (2706100)Termination reason: Instruction limit
% 12.81/2.98 % (2706100)Termination phase: Saturation
% 12.81/2.98 % (2706100)Time elapsed: 0.074 s
% 12.81/2.98 % (2706100)Peak memory usage: 90 MB
% 12.81/2.98 % (2706100)Instructions burned: 125 (million)
% 12.81/2.98 % (2706104)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.81/2.98 % (2706104)Refutation not found, incomplete strategy
% 12.81/2.98 % (2706104)------------------------------
% 12.81/2.98 % (2706104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.98 % (2706104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.98 % (2706104)CaDiCaL version: 2.1.3
% 12.81/2.98 % (2706104)Termination reason: Refutation not found, incomplete strategy
% 12.81/2.98 % (2706104)Time elapsed: 0.002 s
% 12.81/2.98 % (2706104)Peak memory usage: 88 MB
% 12.81/2.98 % (2706104)Instructions burned: 2 (million)
% 12.81/2.98 % (2706085)Instruction limit reached!
% 12.81/2.98 % (2706085)------------------------------
% 12.81/2.98 % (2706085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.98 % (2706085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.98 % (2706085)CaDiCaL version: 2.1.3
% 12.81/2.98 % (2706085)Termination reason: Instruction limit
% 12.81/2.98 % (2706085)Termination phase: Saturation
% 12.81/2.98 % (2706085)Time elapsed: 0.480 s
% 12.81/2.98 % (2706085)Peak memory usage: 92 MB
% 12.81/2.98 % (2706085)Instructions burned: 908 (million)
% 12.81/2.98 % Exception at run slice level
% 12.81/2.98 User error: GNN currently only supports monomorphic FOL.
% 12.81/2.98 % (2706096)Instruction limit reached!
% 12.81/2.98 % (2706096)------------------------------
% 12.81/2.98 % (2706096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.98 % (2706096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.98 % (2706096)CaDiCaL version: 2.1.3
% 12.81/2.98 % (2706096)Termination reason: Instruction limit
% 12.81/2.98 % (2706096)Termination phase: Saturation
% 12.81/2.98 % (2706096)Time elapsed: 0.278 s
% 12.81/2.98 % (2706096)Peak memory usage: 90 MB
% 12.81/2.98 % (2706096)Instructions burned: 594 (million)
% 12.81/2.98 % (2706107)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3354524848:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/431Mi)
% 12.81/2.98 % Exception at run slice level
% 12.81/2.98 User error: GNN currently only supports monomorphic FOL.
% 12.81/2.98 % (2706109)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3525863600:i=6060:aac=none:ins=25_2988 on theBenchmark for (2988ds/6060Mi)
% 12.81/2.98 % (2706111)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2528377648:i=14155:bd=all_2988 on theBenchmark for (2988ds/14155Mi)
% 12.81/2.98 % (2706110)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=817222095:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2988 on theBenchmark for (2988ds/150Mi)
% 12.81/2.98 % (2706110)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.81/2.98 % (2706113)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=444754344:i=667:av=off:fsr=off_2987 on theBenchmark for (2987ds/667Mi)
% 12.81/2.98 % (2706110)Instruction limit reached!
% 18.70/3.74 % (2706110)------------------------------
% 18.70/3.74 % (2706110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.74 % (2706110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.74 % (2706110)CaDiCaL version: 2.1.3
% 18.70/3.74 % (2706110)Termination reason: Instruction limit
% 18.70/3.74 % (2706110)Termination phase: Saturation
% 18.70/3.74 % (2706110)Time elapsed: 0.083 s
% 18.70/3.74 % (2706110)Peak memory usage: 90 MB
% 18.70/3.74 % (2706110)Instructions burned: 151 (million)
% 18.70/3.74 % (2706113)Refutation not found, incomplete strategy
% 18.70/3.74 % (2706113)------------------------------
% 18.70/3.74 % (2706113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.74 % (2706113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.74 % (2706113)CaDiCaL version: 2.1.3
% 18.70/3.74 % (2706113)Termination reason: Refutation not found, incomplete strategy
% 18.70/3.74 % (2706113)Time elapsed: 0.008 s
% 18.70/3.74 % (2706113)Peak memory usage: 88 MB
% 18.70/3.74 % (2706113)Instructions burned: 12 (million)
% 18.70/3.74 % (2706114)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=45680571:s2a=on:i=185:s2at=1.8:fdi=4_2987 on theBenchmark for (2987ds/185Mi)
% 18.70/3.74 % (2706104)------------------------------
% 18.70/3.74 % (2706104)------------------------------
% 18.70/3.74 % (2706107)Instruction limit reached!
% 18.70/3.74 % (2706107)------------------------------
% 18.70/3.74 % (2706107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.74 % (2706107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.74 % (2706107)CaDiCaL version: 2.1.3
% 18.70/3.74 % (2706107)Termination reason: Instruction limit
% 18.70/3.74 % (2706107)Termination phase: Saturation
% 18.70/3.74 % (2706107)Time elapsed: 0.203 s
% 18.70/3.74 % (2706107)Peak memory usage: 90 MB
% 18.70/3.74 % (2706107)Instructions burned: 433 (million)
% 18.70/3.74 % Exception at run slice level
% 18.70/3.74 User error: GNN currently only supports monomorphic FOL.
% 18.70/3.74 % (2706114)Instruction limit reached!
% 18.70/3.74 % (2706114)------------------------------
% 18.70/3.74 % (2706114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.74 % (2706114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.74 % (2706114)CaDiCaL version: 2.1.3
% 18.70/3.74 % (2706114)Termination reason: Instruction limit
% 18.70/3.74 % (2706114)Termination phase: Saturation
% 18.70/3.74 % (2706114)Time elapsed: 0.111 s
% 18.70/3.74 % (2706114)Peak memory usage: 91 MB
% 18.70/3.74 % (2706114)Instructions burned: 186 (million)
% 18.70/3.74 % (2706119)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2024838961:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2986 on theBenchmark for (2986ds/193Mi)
% 18.70/3.74 % (2706121)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2907207155:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2986 on theBenchmark for (2986ds/4850Mi)
% 18.70/3.74 % (2706121)Refutation not found, incomplete strategy
% 18.70/3.74 % (2706121)------------------------------
% 18.70/3.74 % (2706121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.74 % (2706121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.74 % (2706121)CaDiCaL version: 2.1.3
% 18.70/3.74 % (2706121)Termination reason: Refutation not found, incomplete strategy
% 18.70/3.74 % (2706121)Time elapsed: 0.007 s
% 18.70/3.74 % (2706121)Peak memory usage: 88 MB
% 18.70/3.74 % (2706121)Instructions burned: 12 (million)
% 18.70/3.74 % (2706123)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=328358295:i=319:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/319Mi)
% 18.70/3.74 % (2706122)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3193899596:i=12111:sd=1:ss=included_2985 on theBenchmark for (2985ds/12111Mi)
% 18.70/3.74 % (2706119)Instruction limit reached!
% 18.70/3.74 % (2706119)------------------------------
% 18.70/3.74 % (2706119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.70/3.74 % (2706119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.70/3.74 % (2706119)CaDiCaL version: 2.1.3
% 18.70/3.74 % (2706119)Termination reason: Instruction limit
% 18.70/3.74 % (2706119)Termination phase: Saturation
% 24.03/4.35 % (2706119)Time elapsed: 0.115 s
% 24.03/4.35 % (2706119)Peak memory usage: 90 MB
% 24.03/4.35 % (2706119)Instructions burned: 193 (million)
% 24.03/4.35 % (2706113)------------------------------
% 24.03/4.35 % (2706113)------------------------------
% 24.03/4.35 % (2706124)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3750178075:i=2064:ep=RST_2985 on theBenchmark for (2985ds/2064Mi)
% 24.03/4.35 % Exception at run slice level
% 24.03/4.35 User error: GNN currently only supports monomorphic FOL.
% 24.03/4.35 % (2706123)Instruction limit reached!
% 24.03/4.35 % (2706123)------------------------------
% 24.03/4.35 % (2706123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.03/4.35 % (2706123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.03/4.35 % (2706123)CaDiCaL version: 2.1.3
% 24.03/4.35 % (2706123)Termination reason: Instruction limit
% 24.03/4.35 % (2706123)Termination phase: Saturation
% 24.03/4.35 % (2706123)Time elapsed: 0.096 s
% 24.03/4.35 % (2706123)Peak memory usage: 91 MB
% 24.03/4.35 % (2706123)Instructions burned: 321 (million)
% 24.03/4.35 % (2706129)dis-1011_128_sil=32000:random_seed=1510509473:i=3706:ep=RST:av=off_2984 on theBenchmark for (2984ds/3706Mi)
% 24.03/4.35 % (2706133)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2475154876:i=9925:aac=none_2983 on theBenchmark for (2983ds/9925Mi)
% 24.03/4.35 % (2706130)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=822992485:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2984 on theBenchmark for (2984ds/757Mi)
% 24.03/4.35 % (2706130)Refutation not found, incomplete strategy
% 24.03/4.35 % (2706130)------------------------------
% 24.03/4.35 % (2706130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.03/4.35 % (2706130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.03/4.35 % (2706130)CaDiCaL version: 2.1.3
% 24.03/4.35 % (2706130)Termination reason: Refutation not found, incomplete strategy
% 24.03/4.35 % (2706130)Time elapsed: 0.007 s
% 24.03/4.35 % (2706130)Peak memory usage: 89 MB
% 24.03/4.35 % (2706130)Instructions burned: 10 (million)
% 24.03/4.35 % (2706121)------------------------------
% 24.03/4.35 % (2706121)------------------------------
% 24.03/4.35 % (2706132)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=744829437:i=13913:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/13913Mi)
% 24.03/4.35 % (2706138)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2741015381:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2982 on theBenchmark for (2982ds/2479Mi)
% 24.03/4.35 % (2706138)Refutation not found, incomplete strategy
% 24.03/4.35 % (2706138)------------------------------
% 24.03/4.35 % (2706138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.03/4.35 % (2706138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.03/4.35 % (2706138)CaDiCaL version: 2.1.3
% 24.03/4.35 % (2706138)Termination reason: Refutation not found, incomplete strategy
% 24.03/4.35 % (2706138)Time elapsed: 0.007 s
% 24.03/4.35 % (2706138)Peak memory usage: 89 MB
% 24.03/4.35 % (2706138)Instructions burned: 11 (million)
% 24.03/4.35 % Exception at run slice level
% 24.03/4.35 User error: GNN currently only supports monomorphic FOL.
% 24.03/4.35 % Exception at run slice level
% 24.03/4.35 User error: GNN currently only supports monomorphic FOL.
% 24.03/4.35 % (2706130)------------------------------
% 24.03/4.35 % (2706130)------------------------------
% 24.03/4.35 % (2706140)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3768522641:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/440Mi)
% 24.03/4.35 % (2706140)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 24.03/4.35 % (2706141)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1435421172:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2980 on theBenchmark for (2980ds/11145Mi)
% 24.03/4.35 % Exception at run slice level
% 24.03/4.35 User error: GNN currently only supports monomorphic FOL.
% 24.03/4.35 % (2706142)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=589907696:cts=off:i=3034:av=off:er=known:fsd=on_2980 on theBenchmark for (2980ds/3034Mi)
% 24.03/4.35 % (2706138)------------------------------
% 24.03/4.35 % (2706138)------------------------------
% 24.03/4.35 % (2706140)Instruction limit reached!
% 26.94/5.02 % (2706140)------------------------------
% 26.94/5.02 % (2706140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.02 % (2706140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.02 % (2706140)CaDiCaL version: 2.1.3
% 26.94/5.02 % (2706140)Termination reason: Instruction limit
% 26.94/5.02 % (2706140)Termination phase: Saturation
% 26.94/5.02 % (2706140)Time elapsed: 0.118 s
% 26.94/5.02 % (2706140)Peak memory usage: 88 MB
% 26.94/5.02 % (2706140)Instructions burned: 442 (million)
% 26.94/5.02 % (2706148)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1293918385:i=14123:bd=preordered:ins=4_2978 on theBenchmark for (2978ds/14123Mi)
% 26.94/5.02 % (2706145)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1847875741:st=2:s2a=on:i=524:s2at=2:ss=axioms_2979 on theBenchmark for (2979ds/524Mi)
% 26.94/5.02 % (2706147)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2165596394:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2978 on theBenchmark for (2978ds/1016Mi)
% 26.94/5.02 % Exception at run slice level
% 26.94/5.02 User error: GNN currently only supports monomorphic FOL.
% 26.94/5.02 % Exception at run slice level
% 26.94/5.02 User error: GNN currently only supports monomorphic FOL.
% 26.94/5.02 % Exception at run slice level
% 26.94/5.02 User error: GNN currently only supports monomorphic FOL.
% 26.94/5.02 % (2706152)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2681398105:i=5781:kws=precedence:bd=all:rawr=on_2975 on theBenchmark for (2975ds/5781Mi)
% 26.94/5.02 % (2706145)Instruction limit reached!
% 26.94/5.02 % (2706145)------------------------------
% 26.94/5.02 % (2706145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.02 % (2706145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.02 % (2706145)CaDiCaL version: 2.1.3
% 26.94/5.02 % (2706145)Termination reason: Instruction limit
% 26.94/5.02 % (2706145)Termination phase: Saturation
% 26.94/5.02 % (2706145)Time elapsed: 0.283 s
% 26.94/5.02 % (2706145)Peak memory usage: 93 MB
% 26.94/5.02 % (2706145)Instructions burned: 524 (million)
% 26.94/5.02 % (2706153)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=545808598:i=2448:gtgl=5:bd=preordered:gtg=all_2975 on theBenchmark for (2975ds/2448Mi)
% 26.94/5.02 % (2706154)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=361136578:i=3223:kws=precedence:fgj=on:av=off_2975 on theBenchmark for (2975ds/3223Mi)
% 26.94/5.02 % (2706156)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=393562573:st=5.6:i=2033:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/2033Mi)
% 26.94/5.02 % (2706124)Instruction limit reached!
% 26.94/5.02 % (2706124)------------------------------
% 26.94/5.02 % (2706124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.02 % (2706124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.02 % (2706124)CaDiCaL version: 2.1.3
% 26.94/5.02 % (2706124)Termination reason: Instruction limit
% 26.94/5.02 % (2706124)Termination phase: Saturation
% 26.94/5.02 % (2706124)Time elapsed: 1.089 s
% 26.94/5.02 % (2706124)Peak memory usage: 108 MB
% 26.94/5.02 % (2706124)Instructions burned: 2065 (million)
% 26.94/5.02 % (2706147)Instruction limit reached!
% 26.94/5.02 % (2706147)------------------------------
% 26.94/5.02 % (2706147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.94/5.02 % (2706147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/5.02 % (2706147)CaDiCaL version: 2.1.3
% 26.94/5.02 % (2706147)Termination reason: Instruction limit
% 26.94/5.02 % (2706147)Termination phase: Saturation
% 26.94/5.02 % (2706147)Time elapsed: 0.469 s
% 26.94/5.02 % (2706147)Peak memory usage: 98 MB
% 26.94/5.02 % (2706147)Instructions burned: 1017 (million)
% 26.94/5.02 % (2706160)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2668288665:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2973 on theBenchmark for (2973ds/2055Mi)
% 26.94/5.02 % (2706161)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=621431943:i=21611:sd=3:ss=axioms_2972 on theBenchmark for (2972ds/21611Mi)
% 26.94/5.02 % Exception at run slice level
% 26.94/5.02 User error: GNN currently only supports monomorphic FOL.
% 33.61/5.86 % Exception at run slice level
% 33.61/5.86 User error: GNN currently only supports monomorphic FOL.
% 33.61/5.86 % Exception at run slice level
% 33.61/5.86 User error: GNN currently only supports monomorphic FOL.
% 33.61/5.86 % (2706164)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2785435146:i=4835:sd=13:ss=axioms:sgt=23_2971 on theBenchmark for (2971ds/4835Mi)
% 33.61/5.86 % (2706164)Refutation not found, incomplete strategy
% 33.61/5.86 % (2706164)------------------------------
% 33.61/5.86 % (2706164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.61/5.86 % (2706164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.61/5.86 % (2706164)CaDiCaL version: 2.1.3
% 33.61/5.86 % (2706164)Termination reason: Refutation not found, incomplete strategy
% 33.61/5.86 % (2706164)Time elapsed: 0.010 s
% 33.61/5.86 % (2706164)Peak memory usage: 89 MB
% 33.61/5.86 % (2706164)Instructions burned: 16 (million)
% 33.61/5.86 % (2706165)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=1867988517:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2970 on theBenchmark for (2970ds/797Mi)
% 33.61/5.86 % (2706166)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1030194139:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2970 on theBenchmark for (2970ds/2326Mi)
% 33.61/5.86 % (2706166)Refutation not found, incomplete strategy
% 33.61/5.86 % (2706166)------------------------------
% 33.61/5.86 % (2706166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.61/5.86 % (2706166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.61/5.86 % (2706166)CaDiCaL version: 2.1.3
% 33.61/5.86 % (2706166)Termination reason: Refutation not found, incomplete strategy
% 33.61/5.86 % (2706166)Time elapsed: 0.014 s
% 33.61/5.86 % (2706166)Peak memory usage: 89 MB
% 33.61/5.86 % (2706166)Instructions burned: 23 (million)
% 33.61/5.86 % Exception at run slice level
% 33.61/5.86 User error: GNN currently only supports monomorphic FOL.
% 33.61/5.86 % Exception at run slice level
% 33.61/5.86 User error: GNN currently only supports monomorphic FOL.
% 33.61/5.86 % (2706164)------------------------------
% 33.61/5.86 % (2706164)------------------------------
% 33.61/5.86 % (2706170)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2038173871:i=6038:nm=6_2968 on theBenchmark for (2968ds/6038Mi)
% 33.61/5.86 % (2706171)lrs+10_1_sil=32000:sp=occurrence:random_seed=547893468:st=2:i=33334:sd=3:ss=included:sgt=32_2967 on theBenchmark for (2967ds/33334Mi)
% 33.61/5.86 % (2706166)------------------------------
% 33.61/5.86 % (2706166)------------------------------
% 33.61/5.86 % (2706129)Instruction limit reached!
% 33.61/5.86 % (2706129)------------------------------
% 33.61/5.86 % (2706129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.61/5.86 % (2706129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.61/5.86 % (2706129)CaDiCaL version: 2.1.3
% 33.61/5.86 % (2706129)Termination reason: Instruction limit
% 33.61/5.86 % (2706129)Termination phase: Saturation
% 33.61/5.86 % (2706129)Time elapsed: 1.702 s
% 33.61/5.86 % (2706129)Peak memory usage: 95 MB
% 33.61/5.86 % (2706129)Instructions burned: 3707 (million)
% 33.61/5.86 % (2706172)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=67365860:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2967 on theBenchmark for (2967ds/1008Mi)
% 33.61/5.86 % (2706172)Refutation not found, incomplete strategy
% 33.61/5.86 % (2706172)------------------------------
% 33.61/5.86 % (2706172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.61/5.86 % (2706172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.61/5.86 % (2706172)CaDiCaL version: 2.1.3
% 33.61/5.86 % (2706172)Termination reason: Refutation not found, incomplete strategy
% 33.61/5.86 % (2706172)Time elapsed: 0.046 s
% 33.61/5.86 % (2706172)Peak memory usage: 89 MB
% 33.61/5.86 % (2706172)Instructions burned: 65 (million)
% 33.61/5.86 % (2706165)Instruction limit reached!
% 33.61/5.86 % (2706165)------------------------------
% 33.61/5.86 % (2706165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.61/5.86 % (2706165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.61/5.86 % (2706165)CaDiCaL version: 2.1.3
% 41.61/7.01 % (2706165)Termination reason: Instruction limit
% 41.61/7.01 % (2706165)Termination phase: Saturation
% 41.61/7.01 % (2706165)Time elapsed: 0.379 s
% 41.61/7.01 % (2706165)Peak memory usage: 90 MB
% 41.61/7.01 % (2706165)Instructions burned: 798 (million)
% 41.61/7.01 % (2706175)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=311268586:i=8327:s2at=5:bd=preordered_2966 on theBenchmark for (2966ds/8327Mi)
% 41.61/7.01 % (2706177)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=4196888834:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2965 on theBenchmark for (2965ds/1083Mi)
% 41.61/7.01 % (2706178)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=3337883064:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2965 on theBenchmark for (2965ds/1084Mi)
% 41.61/7.01 % Exception at run slice level
% 41.61/7.01 User error: GNN currently only supports monomorphic FOL.
% 41.61/7.01 % (2706172)------------------------------
% 41.61/7.01 % (2706172)------------------------------
% 41.61/7.01 % (2706182)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=238300196:i=6995:s2at=5:gtg=all_2963 on theBenchmark for (2963ds/6995Mi)
% 41.61/7.01 % (2706183)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1668969205:st=2:i=6225:sd=15:ss=axioms_2963 on theBenchmark for (2963ds/6225Mi)
% 41.61/7.01 % Exception at run slice level
% 41.61/7.01 User error: Immediate (shared) subterms of term/literal app_2E2(X1,X0,sF34(X0,X1,X2),X3) = sF35(X1,X0,X2,X3) have different types/not well-typed!
% 41.61/7.01 % (2706183)Refutation not found, incomplete strategy
% 41.61/7.01 % (2706183)------------------------------
% 41.61/7.01 % (2706183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.61/7.01 % (2706183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.61/7.01 % (2706183)CaDiCaL version: 2.1.3
% 41.61/7.01 % (2706183)Termination reason: Refutation not found, incomplete strategy
% 41.61/7.01 % (2706183)Time elapsed: 0.008 s
% 41.61/7.01 % (2706183)Peak memory usage: 89 MB
% 41.61/7.01 % (2706183)Instructions burned: 12 (million)
% 41.61/7.01 % Exception at run slice level
% 41.61/7.01 User error: GNN currently only supports monomorphic FOL.
% 41.61/7.01 % (2706186)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=1267262756:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2961 on theBenchmark for (2961ds/3372Mi)
% 41.61/7.01 % (2706187)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=3945944271:st=2.3:i=26457:sd=10:ss=included:sgt=8_2961 on theBenchmark for (2961ds/26457Mi)
% 41.61/7.01 % (2706177)Instruction limit reached!
% 41.61/7.01 % (2706177)------------------------------
% 41.61/7.01 % (2706177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.61/7.01 % (2706177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.61/7.01 % (2706177)CaDiCaL version: 2.1.3
% 41.61/7.01 % (2706177)Termination reason: Instruction limit
% 41.61/7.01 % (2706177)Termination phase: Saturation
% 41.61/7.01 % (2706177)Time elapsed: 0.490 s
% 41.61/7.01 % (2706177)Peak memory usage: 101 MB
% 41.61/7.01 % (2706177)Instructions burned: 1085 (million)
% 41.61/7.01 % (2706152)Instruction limit reached!
% 41.61/7.01 % (2706152)------------------------------
% 41.61/7.01 % (2706152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.61/7.01 % (2706152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.61/7.01 % (2706152)CaDiCaL version: 2.1.3
% 41.61/7.01 % (2706152)Termination reason: Instruction limit
% 41.61/7.01 % (2706152)Termination phase: Saturation
% 41.61/7.01 % (2706152)Time elapsed: 1.549 s
% 41.61/7.01 % (2706152)Peak memory usage: 112 MB
% 41.61/7.01 % (2706152)Instructions burned: 5784 (million)
% 41.61/7.01 % (2706183)------------------------------
% 41.61/7.01 % (2706183)------------------------------
% 41.61/7.01 % (2706191)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=4037990460:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2959 on theBenchmark for (2959ds/2503Mi)
% 41.61/7.01 % (2706191)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 41.61/7.01 % (2706190)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=1921706762:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2959 on theBenchmark for (2959ds/13494Mi)
% 52.73/8.35 % (2706178)Instruction limit reached!
% 52.73/8.35 % (2706178)------------------------------
% 52.73/8.35 % (2706178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.73/8.35 % (2706178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.73/8.35 % (2706178)CaDiCaL version: 2.1.3
% 52.73/8.35 % (2706178)Termination reason: Instruction limit
% 52.73/8.35 % (2706178)Termination phase: Saturation
% 52.73/8.35 % (2706178)Time elapsed: 0.553 s
% 52.73/8.35 % (2706178)Peak memory usage: 94 MB
% 52.73/8.35 % (2706178)Instructions burned: 1084 (million)
% 52.73/8.35 % (2706192)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=1261022939:i=2559:sd=1:ep=RSTC:ss=axioms_2959 on theBenchmark for (2959ds/2559Mi)
% 52.73/8.35 % (2706195)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=183180162:i=30753:av=off:ss=included_2958 on theBenchmark for (2958ds/30753Mi)
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % (2706199)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=3662691303:cts=off:i=2759:kws=inv_arity:fgj=on_2956 on theBenchmark for (2956ds/2759Mi)
% 52.73/8.35 % (2706198)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=1388077031:i=26473:ep=RSTC_2956 on theBenchmark for (2956ds/26473Mi)
% 52.73/8.35 % (2706200)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=3198407184:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2956 on theBenchmark for (2956ds/5665Mi)
% 52.73/8.35 % (2706200)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % (2706204)dis+1011_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:npcc=on:sos=on:lsd=20:urr=full:alpa=true:sac=on:random_seed=1338494212:i=1532:ep=RS:ss=axioms_2954 on theBenchmark for (2954ds/1532Mi)
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % (2706206)lrs-1011_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:sims=off:bsd=on:sp=unary_first:erd=off:spb=goal:lcm=reverse:gs=on:s2agt=8:random_seed=2781447471:i=1572:fgj=on:gsp=on_2953 on theBenchmark for (2953ds/1572Mi)
% 52.73/8.35 % (2706206)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.73/8.35 % (2706205)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=3857950536:i=1565:sd=2:ss=axioms:sgt=32_2954 on theBenchmark for (2954ds/1565Mi)
% 52.73/8.35 % (2706208)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=2613732595:i=6052:sd=4:ss=axioms:sgt=24_2953 on theBenchmark for (2953ds/6052Mi)
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % Exception at run slice level
% 52.73/8.35 User error: GNN currently only supports monomorphic FOL.
% 52.73/8.35 % (2706215)lrs+35_1_anc=all_dependent:ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:npcc=on:fde=none:sp=weighted_frequency:erd=off:spb=non_intro:updr=off:newcnf=on:random_seed=388693520:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2951 on theBenchmark for (2951ds/1842Mi)
% 52.73/8.35 % (2706215)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.73/8.35 % (2706214)lrs+21_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=arity:sos=on:erd=off:lcm=predicate:alpa=false:sac=on:random_seed=637426310:i=3500:sd=1:bd=preordered:sup=off:ss=included_2951 on theBenchmark for (2951ds/3500Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706218)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=2706568686:i=66096:add=on_2949 on theBenchmark for (2949ds/66096Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706219)lrs+1011_1_to=lpo:ncem=casc2026/models/loop3.pt:sil=64000:npcc=on:random_seed=154375081:i=1884:sd=1:nm=60:ss=axioms_2949 on theBenchmark for (2949ds/1884Mi)
% 63.08/9.82 % (2706222)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=unary_frequency:urr=on:bce=on:alpa=false:sac=on:random_seed=1146696025:i=2037:s2at=10:gtgl=5:add=off:bd=preordered:ins=25:gtg=exists_all_2948 on theBenchmark for (2948ds/2037Mi)
% 63.08/9.82 % (2706221)lrs-1011_4:1_sil=16000:bsr=on:random_seed=3807139635:cts=off:i=5469:bs=on:fsr=off_2948 on theBenchmark for (2948ds/5469Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706226)lrs-30_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:urr=on:bce=on:rp=on:br=off:flr=on:random_seed=38202618:st=-1:i=2110:kws=precedence:av=off:ss=axioms:er=known_2946 on theBenchmark for (2946ds/2110Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706227)dis-1010_1_anc=all_dependent:ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:sp=unary_first:spb=goal:lcm=reverse:fd=off:flr=on:random_seed=240033637:i=2430:add=off:aac=none:nm=16_2945 on theBenchmark for (2945ds/2430Mi)
% 63.08/9.82 % (2706229)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:spb=units:acc=on:bsr=unit_only:gs=on:sac=on:random_seed=2865234996:cond=fast:i=4891_2944 on theBenchmark for (2944ds/4891Mi)
% 63.08/9.82 % (2706231)lrs+4_1_anc=all:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sos=on:spb=goal_then_units:lcm=reverse:gs=on:s2agt=16:sac=on:newcnf=on:random_seed=3411920906:st=2:i=14845:sd=2:ss=included:fsd=on_2944 on theBenchmark for (2944ds/14845Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706234)lrs-1010_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:urr=ec_only:br=off:random_seed=106146085:i=7534:sd=3:ins=1:gtg=exists_top:ss=included:sgt=8_2942 on theBenchmark for (2942ds/7534Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706236)lrs-1002_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=ground:npcc=on:prc=on:fde=none:sims=off:spb=goal:bsr=unit_only:s2agt=32:random_seed=2909754061:cond=fast:i=10353:bs=on:av=off:ss=axioms:fsd=on:sgt=64:fsdmm=10_2941 on theBenchmark for (2941ds/10353Mi)
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % Exception at run slice level
% 63.08/9.82 User error: GNN currently only supports monomorphic FOL.
% 63.08/9.82 % (2706240)lrs+10_1_ncem=casc2026/models/loop2.pt:sil=16000:tgt=ground:npcc=on:prc=on:random_seed=1633160036:i=5812:gtgl=2:gtg=all_2939 on theBenchmark for (2939ds/5812Mi)
% 63.08/9.82 % (2706238)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2519099778:i=7860_2939 on theBenchmark for (2939ds/7860Mi)
% 63.08/9.82 % (2706238)Refutation not found, incomplete strategy
% 63.08/9.82 % (2706238)------------------------------
% 63.08/9.82 % (2706238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.08/9.82 % (2706238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.92/15.21 % (2706238)CaDiCaL version: 2.1.3
% 101.92/15.21 % (2706238)Termination reason: Refutation not found, incomplete strategy
% 101.92/15.21 % (2706238)Time elapsed: 0.009 s
% 101.92/15.21 % (2706238)Peak memory usage: 89 MB
% 101.92/15.21 % (2706238)Instructions burned: 14 (million)
% 101.92/15.21 % (2706239)ott+1011_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:fde=unused:spb=goal:lsd=30:lcm=predicate:fd=off:gs=on:sac=on:random_seed=721178481:i=7896:sd=2:bs=on:ss=included:sgt=20_2939 on theBenchmark for (2939ds/7896Mi)
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706238)------------------------------
% 101.92/15.21 % (2706238)------------------------------
% 101.92/15.21 % (2706244)ott-1011_1_anc=none:ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:prc=on:sp=const_frequency:sos=on:lsd=100:random_seed=2545163274:i=2965:s2at=3.7:aac=none:fgj=on:fdi=2:er=known_2936 on theBenchmark for (2936ds/2965Mi)
% 101.92/15.21 % (2706245)lrs-1010_1_ncem=casc2026/models/loop5.pt:sil=16000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4122306063:i=2967:kws=precedence:bd=preordered:av=off_2936 on theBenchmark for (2936ds/2967Mi)
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706246)ott+1002_1_anc=all:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:sos=on:spb=goal_then_units:alpa=false:sac=on:random_seed=3927685403:i=3022:sd=1:kws=frequency:aac=none:ep=RST:nm=16:ss=axioms:er=known_2935 on theBenchmark for (2935ds/3022Mi)
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706250)lrs-1010_1_ncem=casc2026/models/loop4.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=const_frequency:sos=all:lcm=predicate:acc=on:bsr=unit_only:gs=on:sac=on:newcnf=on:random_seed=2497845507:prac=on:i=3207:kws=frequency:fgj=on:ss=axioms:er=filter:sgt=8_2934 on theBenchmark for (2934ds/3207Mi)
% 101.92/15.21 % (2706251)lrs+1011_1_anc=all:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:sos=on:lcm=predicate:random_seed=122816909:st=4.2:i=3289:sd=5:aac=none:ss=included:sgt=10_2933 on theBenchmark for (2933ds/3289Mi)
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706254)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:random_seed=2345798846:i=38569:sd=3:ss=axioms:sgt=32_2931 on theBenchmark for (2931ds/38569Mi)
% 101.92/15.21 % (2706255)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=16000:npcc=on:bsr=on:random_seed=1150619836:cts=off:i=3394_2931 on theBenchmark for (2931ds/3394Mi)
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706256)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=arity:spb=intro:lcm=reverse:urr=ec_only:fd=preordered:gs=on:sac=on:random_seed=3545295458:i=33824:bd=preordered_2930 on theBenchmark for (2930ds/33824Mi)
% 101.92/15.21 % (2706260)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=64000:tgt=ground:npcc=on:random_seed=3246757810:i=20684:bd=all:gtg=exists_sym_2929 on theBenchmark for (2929ds/20684Mi)
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706262)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:irw=on:npcc=on:prc=on:bsd=on:sp=reverse_frequency:sos=on:erd=off:spb=goal:lcm=reverse:urr=full:bsr=on:s2agt=32:alpa=random:kmz=on:random_seed=1876477859:st=3:prac=on:i=7222:kws=arity_squared:add=on:fgj=on:bd=preordered:gtg=exists_top:gsp=on:ss=axioms:er=known:sgt=8:proc=on_2927 on theBenchmark for (2927ds/7222Mi)
% 101.92/15.21 % (2706262)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % Exception at run slice level
% 101.92/15.21 User error: GNN currently only supports monomorphic FOL.
% 101.92/15.21 % (2706265)lrs+32_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:tgt=full:npcc=on:fde=none:sp=occurrence:urr=ec_only:fd=preordered:random_seed=4003777624:i=4036:ins=10_2926 on theBenchmark for (2926ds/4036Mi)
% 111.38/16.69 % (2706264)ott-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:spb=goal_then_units:random_seed=1741940:st=4:i=7295:sd=4:ep=R:ss=axioms_2926 on theBenchmark for (2926ds/7295Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706268)lrs+10_1_sil=128000:lcm=predicate:random_seed=2408884922:st=3:i=43697:sd=5:ss=axioms_2924 on theBenchmark for (2924ds/43697Mi)
% 111.38/16.69 % (2706269)lrs+1010_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:sp=const_frequency:sos=all:lcm=predicate:urr=on:s2agt=20:sac=on:random_seed=2830596651:i=17599:gtg=all:ss=axioms:fsd=on_2924 on theBenchmark for (2924ds/17599Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706273)lrs+1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sp=unary_first:spb=goal:urr=ec_only:newcnf=on:random_seed=2991491490:i=9294:av=off_2921 on theBenchmark for (2921ds/9294Mi)
% 111.38/16.69 % (2706272)lrs+1011_1_to=lpo:ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:prc=on:sp=occurrence:lcm=reverse:urr=ec_only:gs=on:random_seed=1198277142:i=4547:bd=preordered_2921 on theBenchmark for (2921ds/4547Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706276)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=2070188176:i=32849:add=on_2920 on theBenchmark for (2920ds/32849Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706221)Instruction limit reached!
% 111.38/16.69 % (2706221)------------------------------
% 111.38/16.69 % (2706221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.38/16.69 % (2706221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.38/16.69 % (2706221)CaDiCaL version: 2.1.3
% 111.38/16.69 % (2706221)Termination reason: Instruction limit
% 111.38/16.69 % (2706221)Termination phase: Saturation
% 111.38/16.69 % (2706221)Time elapsed: 3.139 s
% 111.38/16.69 % (2706221)Peak memory usage: 103 MB
% 111.38/16.69 % (2706221)Instructions burned: 5470 (million)
% 111.38/16.69 % (2706278)dis-1011_1_ncem=casc2026/models/loop5.pt:sil=64000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1552752571:st=1.5:i=4793:s2at=3:sd=3:fsr=off:ss=axioms_2916 on theBenchmark for (2916ds/4793Mi)
% 111.38/16.69 % (2706279)dis+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:prc=on:drc=off:sims=off:sp=const_frequency:sos=on:spb=non_intro:gs=on:updr=off:newcnf=on:random_seed=1786487200:i=4840:nm=4:av=off_2916 on theBenchmark for (2916ds/4840Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706280)lrs-1004_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:gs=on:newcnf=on:random_seed=3887644966:cts=off:i=5002_2915 on theBenchmark for (2915ds/5002Mi)
% 111.38/16.69 % (2706283)dis+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1218145305:i=30479:sd=3:ss=axioms_2914 on theBenchmark for (2914ds/30479Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706286)lrs+1011_1_anc=none:ncem=casc2026/models/loop2.pt:sil=32000:tgt=full:npcc=on:fde=unused:sas=cadical:sp=const_frequency:spb=non_intro:lsd=10:lcm=predicate:rp=on:sac=on:newcnf=on:random_seed=790511850:i=11035:s2at=5:kws=inv_arity:bs=on:gsp=on_2911 on theBenchmark for (2911ds/11035Mi)
% 111.38/16.69 % (2706287)lrs+1010_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:random_seed=1212620829:i=5835_2911 on theBenchmark for (2911ds/5835Mi)
% 111.38/16.69 % (2706286)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706288)ott+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=arity:urr=on:bsr=on:fd=preordered:foolp=on:random_seed=1280933410:i=5890:s2at=2:kws=inv_precedence:ins=4:av=off_2910 on theBenchmark for (2910ds/5890Mi)
% 111.38/16.69 % (2706291)lrs+10_1_sil=32000:sos=all:lma=off:random_seed=826332772:cts=off:i=19910:ep=RS_2910 on theBenchmark for (2910ds/19910Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706294)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:drc=off:sp=arity:fd=preordered:s2agt=16:sac=on:random_seed=3597869156:i=20312:bd=preordered:fsr=off:er=filter_2906 on theBenchmark for (2906ds/20312Mi)
% 111.38/16.69 % (2706295)lrs+1011_1_ncem=casc2026/models/loop2.pt:sil=32000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal_then_units:urr=on:gs=on:sac=on:random_seed=79453492:i=13822:kws=inv_arity_squared:bd=preordered:ins=5_2906 on theBenchmark for (2906ds/13822Mi)
% 111.38/16.69 % (2706296)ott-1011_91_sil=128000:prc=on:sims=off:sp=unary_first:urr=on:random_seed=3854799886:st=2:i=7144:kws=inv_arity_squared:bd=all:ins=1:ss=included:sgt=10_2905 on theBenchmark for (2905ds/7144Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1559088029:i=107375_2901 on theBenchmark for (2901ds/107375Mi)
% 111.38/16.69 % (2706300)lrs+21_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=535704971:i=15184:kws=inv_frequency:bd=preordered:av=off:er=known_2901 on theBenchmark for (2901ds/15184Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706304)dis+11_1_ncem=casc2026/models/loop2.pt:sil=16000:tgt=full:npcc=on:sp=const_frequency:spb=units:lcm=predicate:fd=off:sac=on:newcnf=on:random_seed=1095728198:cts=off:i=7958:kws=inv_frequency:fgj=on:bs=unit_only:ins=1:fsr=off_2896 on theBenchmark for (2896ds/7958Mi)
% 111.38/16.69 % (2706305)dis+10_128_sil=16000:nwc=0.7:random_seed=302194376:i=15999:nm=2:gsp=on_2896 on theBenchmark for (2896ds/15999Mi)
% 111.38/16.69 % (2706305)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706308)ott+10_64_sil=128000:plsq=on:drc=off:plsqc=2:nwc=1:random_seed=946624869:st=3:i=8139:fgj=on:bd=all:av=off:fsr=off:ss=included:sgt=8_2891 on theBenchmark for (2891ds/8139Mi)
% 111.38/16.69 % (2706296)Instruction limit reached!
% 111.38/16.69 % (2706296)------------------------------
% 111.38/16.69 % (2706296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.38/16.69 % (2706296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.38/16.69 % (2706296)CaDiCaL version: 2.1.3
% 111.38/16.69 % (2706296)Termination reason: Instruction limit
% 111.38/16.69 % (2706296)Termination phase: Saturation
% 111.38/16.69 % (2706296)Time elapsed: 4.180 s
% 111.38/16.69 % (2706296)Peak memory usage: 118 MB
% 111.38/16.69 % (2706296)Instructions burned: 7145 (million)
% 111.38/16.69 % (2706310)lrs+10_1_ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=occurrence:sos=on:urr=on:sac=on:random_seed=423016380:st=4:i=8950:sd=5:ss=axioms_2862 on theBenchmark for (2862ds/8950Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706312)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:drc=off:spb=goal:random_seed=3092550687:i=9809:ins=10:av=off_2857 on theBenchmark for (2857ds/9809Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706308)Instruction limit reached!
% 111.38/16.69 % (2706308)------------------------------
% 111.38/16.69 % (2706308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.38/16.69 % (2706308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.38/16.69 % (2706308)CaDiCaL version: 2.1.3
% 111.38/16.69 % (2706308)Termination reason: Instruction limit
% 111.38/16.69 % (2706308)Termination phase: Saturation
% 111.38/16.69 % (2706308)Time elapsed: 3.811 s
% 111.38/16.69 % (2706308)Peak memory usage: 93 MB
% 111.38/16.69 % (2706308)Instructions burned: 8139 (million)
% 111.38/16.69 % (2706314)ott+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=arity:acc=on:fd=off:newcnf=on:random_seed=3046531357:st=2.6:cond=fast:i=9885:s2at=1.5:sd=2:fgj=on:ins=3:ss=included_2852 on theBenchmark for (2852ds/9885Mi)
% 111.38/16.69 % (2706315)ott+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:etr=on:kmz=on:flr=on:random_seed=2063825369:cond=fast:i=32078:fgj=on:av=off_2852 on theBenchmark for (2852ds/32078Mi)
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706318)dis-1010_64_to=lpo:sil=16000:tgt=ground:prc=on:fde=none:spb=goal_then_units:nwc=1:random_seed=279511913:i=11101:bd=all:ss=axioms:sgt=8_2848 on theBenchmark for (2848ds/11101Mi)
% 111.38/16.69 % (2706319)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:fd=preordered:flr=on:random_seed=3055740599:cond=on:i=13220:s2at=3:aac=none:fsd=on_2847 on theBenchmark for (2847ds/13220Mi)
% 111.38/16.69 % (2706318)First to succeed.
% 111.38/16.69 % (2706318)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2706053"
% 111.38/16.69 % Exception at run slice level
% 111.38/16.69 User error: GNN currently only supports monomorphic FOL.
% 111.38/16.69 % (2706318)Refutation found. Thanks to Tanya!
% 111.38/16.69 % SZS status Theorem for theBenchmark
% 111.38/16.69 % SZS output start Proof for theBenchmark
% 111.38/16.69 tff(type_def_5, type, tyop_2Emin_2Ebool: $tType).
% 111.38/16.69 tff(type_def_6, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 111.38/16.69 tff(type_def_7, type, tyop_2Enum_2Enum: $tType).
% 111.38/16.69 tff(func_def_0, type, app_2E2: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,X1) * X0) > X1)).
% 111.38/16.69 tff(func_def_1, type, combin_i_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(X0,X0))).
% 111.38/16.69 tff(func_def_2, type, combin_k_2E0: !>[X0: $tType, X1: $tType]:(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)))).
% 111.38/16.69 tff(func_def_3, type, combin_s_2E0: !>[X0: $tType, X1: $tType, X2: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))))).
% 111.38/16.69 tff(func_def_4, type, c_2Ebool_2E_21_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))).
% 111.38/16.69 tff(func_def_5, type, c_2Ebool_2E_21_2E1: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > tyop_2Emin_2Ebool)).
% 111.38/16.69 tff(func_def_6, type, c_2Earithmetic_2E_2A_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum))).
% 111.38/16.69 tff(func_def_7, type, c_2Earithmetic_2E_2A_2E2: (tyop_2Enum_2Enum * tyop_2Enum_2Enum) > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_8, type, c_2Earithmetic_2E_2B_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum))).
% 111.38/16.69 tff(func_def_9, type, c_2Earithmetic_2E_2B_2E2: (tyop_2Enum_2Enum * tyop_2Enum_2Enum) > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_10, type, c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))).
% 111.38/16.69 tff(func_def_11, type, c_2Ebool_2E_2F_5C_2E2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_12, type, c_2Enum_2E0_2E0: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_13, type, c_2Eprim__rec_2E_3C_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))).
% 111.38/16.69 tff(func_def_14, type, c_2Eprim__rec_2E_3C_2E2: (tyop_2Enum_2Enum * tyop_2Enum_2Enum) > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_15, type, c_2Emin_2E_3D_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)))).
% 111.38/16.69 tff(func_def_16, type, c_2Emin_2E_3D_2E2: !>[X0: $tType]:((X0 * X0) > tyop_2Emin_2Ebool)).
% 111.38/16.69 tff(func_def_17, type, c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))).
% 111.38/16.69 tff(func_def_18, type, c_2Emin_2E_3D_3D_3E_2E2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_19, type, c_2Ebool_2E_3F_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))).
% 111.38/16.69 tff(func_def_20, type, c_2Ebool_2E_3F_2E1: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > tyop_2Emin_2Ebool)).
% 111.38/16.69 tff(func_def_21, type, c_2Earithmetic_2EBIT1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)).
% 111.38/16.69 tff(func_def_22, type, c_2Earithmetic_2EBIT1_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_23, type, c_2Earithmetic_2EBIT2_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)).
% 111.38/16.69 tff(func_def_24, type, c_2Earithmetic_2EBIT2_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_25, type, c_2Ebool_2ECOND_2E0: !>[X0: $tType]:(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))))).
% 111.38/16.69 tff(func_def_26, type, c_2Ebool_2ECOND_2E3: !>[X0: $tType]:((tyop_2Emin_2Ebool * X0 * X0) > X0)).
% 111.38/16.69 tff(func_def_27, type, c_2Earithmetic_2EEVEN_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)).
% 111.38/16.69 tff(func_def_28, type, c_2Earithmetic_2EEVEN_2E1: tyop_2Enum_2Enum > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_29, type, c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_30, type, c_2Earithmetic_2EMOD_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum))).
% 111.38/16.69 tff(func_def_31, type, c_2Earithmetic_2EMOD_2E2: (tyop_2Enum_2Enum * tyop_2Enum_2Enum) > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_32, type, c_2Earithmetic_2ENUMERAL_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)).
% 111.38/16.69 tff(func_def_33, type, c_2Earithmetic_2ENUMERAL_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_34, type, c_2Earithmetic_2EODD_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)).
% 111.38/16.69 tff(func_def_35, type, c_2Earithmetic_2EODD_2E1: tyop_2Enum_2Enum > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_36, type, c_2Enum_2ESUC_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)).
% 111.38/16.69 tff(func_def_37, type, c_2Enum_2ESUC_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_38, type, c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_39, type, c_2Earithmetic_2EZERO_2E0: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_40, type, c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))).
% 111.38/16.69 tff(func_def_41, type, c_2Ebool_2E_5C_2F_2E2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_42, type, c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)).
% 111.38/16.69 tff(func_def_43, type, c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_44, type, sK12: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_45, type, sK13: tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_46, type, sK14: tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_47, type, sK15: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1)) > X0)).
% 111.38/16.69 tff(func_def_48, type, sK16: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_49, type, sK17: !>[X0: $tType]:((tyop_2Emin_2Ebool * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_50, type, sK18: !>[X0: $tType]:((tyop_2Emin_2Ebool * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_51, type, sK19: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_52, type, sK20: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Ebool) > X0)).
% 111.38/16.69 tff(func_def_53, type, sK21: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_54, type, sK22: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_55, type, sK23: !>[X0: $tType]:((tyop_2Emin_2Ebool * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_56, type, sK24: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_57, type, sK25: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Ebool) > X0)).
% 111.38/16.69 tff(func_def_58, type, sK26: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_59, type, sK27: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_60, type, sK28: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_61, type, sK29: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Ebool) > X0)).
% 111.38/16.69 tff(func_def_62, type, sK30: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_63, type, sK31: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_64, type, sK32: !>[X0: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) > X0)).
% 111.38/16.69 tff(func_def_65, type, sK33: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * X0) > X1)).
% 111.38/16.69 tff(func_def_66, type, sK34: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Emin_2Efun(X0,X1)) > X0)).
% 111.38/16.69 tff(func_def_67, type, sK35: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))) > tyop_2Emin_2Efun(X0,X1))).
% 111.38/16.69 tff(func_def_68, type, sK36: !>[X0: $tType, X1: $tType]:((tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))) > X0)).
% 111.38/16.69 tff(func_def_69, type, sF37: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_70, type, sF38: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_71, type, sF39: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_72, type, sF40: tyop_2Emin_2Ebool).
% 111.38/16.69 tff(func_def_73, type, sF41: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_74, type, sF42: tyop_2Enum_2Enum).
% 111.38/16.69 tff(func_def_75, type, sF43: tyop_2Enum_2Enum).
% 111.38/16.69 tff(pred_def_1, type, p: tyop_2Emin_2Ebool > $o).
% 111.38/16.69 tff(pred_def_2, type, sP0: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_3, type, sP1: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_4, type, sP2: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_5, type, sP3: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_6, type, sP4: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_7, type, sP5: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_8, type, sP6: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_9, type, sP7: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_10, type, sP8: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_11, type, sP9: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_12, type, sP10: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(pred_def_13, type, sP11: (tyop_2Emin_2Ebool * tyop_2Emin_2Ebool) > $o).
% 111.38/16.69 tff(f25,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2EBIT2_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,X0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Earithmetic_2EBIT2_2E1)).
% 111.38/16.69 tff(f31,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2EEVEN_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E0,X0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Earithmetic_2EEVEN_2E1)).
% 111.38/16.69 tff(f33,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2ENUMERAL_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,X0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Earithmetic_2ENUMERAL_2E1)).
% 111.38/16.69 tff(f34,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2EODD_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Earithmetic_2EODD_2E1)).
% 111.38/16.69 tff(f35,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Enum_2ESUC_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,X0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Enum_2ESUC_2E1)).
% 111.38/16.69 tff(f38,axiom,(
% 111.38/16.69 c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)) = c_2Enum_2ESUC_2E1(c_2Enum_2E0_2E0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EONE)).
% 111.38/16.69 tff(f39,axiom,(
% 111.38/16.69 c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)) = c_2Enum_2ESUC_2E1(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ETWO)).
% 111.38/16.69 tff(f40,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2E_2B_2E2(X0,c_2Enum_2E0_2E0) = X0),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD__0)).
% 111.38/16.69 tff(f41,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : c_2Eprim__rec_2E_3C_2E2(c_2Enum_2ESUC_2E1(X0),c_2Enum_2ESUC_2E1(X1)) = c_2Eprim__rec_2E_3C_2E2(X0,X1)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2ELESS__MONO__EQ)).
% 111.38/16.69 tff(f42,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Enum_2ESUC_2E1(X0) = c_2Earithmetic_2E_2B_2E2(X0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EADD1)).
% 111.38/16.69 tff(f43,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : c_2Earithmetic_2E_2A_2E2(X0,X1) = c_2Earithmetic_2E_2A_2E2(X1,X0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMULT__COMM)).
% 111.38/16.69 tff(f45,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EODD_2E1(X0)) <=> ~p(c_2Earithmetic_2EEVEN_2E1(X0)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EODD__EVEN)).
% 111.38/16.69 tff(f46,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EEVEN_2E1(X0)) <=> ? [X1 : tyop_2Enum_2Enum] : X0 = c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EEVEN__EXISTS)).
% 111.38/16.69 tff(f47,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EODD_2E1(X0)) <=> ? [X1 : tyop_2Enum_2Enum] : X0 = c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EODD__EXISTS)).
% 111.38/16.69 tff(f48,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : (? [X3 : tyop_2Enum_2Enum] : (X1 = c_2Earithmetic_2E_2B_2E2(c_2Earithmetic_2E_2A_2E2(X3,X0),X2) & p(c_2Eprim__rec_2E_3C_2E2(X2,X0))) => c_2Earithmetic_2EMOD_2E2(X1,X0) = X2)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMOD__UNIQUE)).
% 111.38/16.69 tff(f49,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Emin_2Ebool] : (X0 = c_2Ebool_2ET_2E0 | X0 = c_2Ebool_2EF_2E0)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EBOOL__CASES__AX)).
% 111.38/16.69 tff(f60,axiom,(
% 111.38/16.69 ! [X0 : $tType,X1 : X0] : (X1 = X1 <=> p(c_2Ebool_2ET_2E0))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EREFL__CLAUSE)).
% 111.38/16.69 tff(f62,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Emin_2Ebool] : ((c_2Ebool_2ET_2E0 = X0 <=> p(X0)) & (X0 = c_2Ebool_2ET_2E0 <=> p(X0)) & (c_2Ebool_2EF_2E0 = X0 <=> ~p(X0)) & (X0 = c_2Ebool_2EF_2E0 <=> ~p(X0)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES)).
% 111.38/16.69 tff(f63,axiom,(
% 111.38/16.69 ! [X0 : $tType,X1 : X0,X2 : X0] : (c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X1,X2) = X1 & c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X1,X2) = X2)),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES)).
% 111.38/16.69 tff(f79,axiom,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,c_2Enum_2ESUC_2E1(X0)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eprim__rec_2ELESS__0)).
% 111.38/16.69 tff(f95,conjecture,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2EMOD_2E2(X0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))) = c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Earithmetic_2EEVEN_2E1(X0),c_2Enum_2E0_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Earithmetic_2EMOD__2)).
% 111.38/16.69 tff(f96,negated_conjecture,(
% 111.38/16.69 ~! [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2EMOD_2E2(X0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))) = c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Earithmetic_2EEVEN_2E1(X0),c_2Enum_2E0_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 inference(negated_conjecture,[status(cth)],[f95])).
% 111.38/16.69 tff(f98,plain,(
% 111.38/16.69 ? [X0 : tyop_2Enum_2Enum] : c_2Earithmetic_2EMOD_2E2(X0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))) != c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Earithmetic_2EEVEN_2E1(X0),c_2Enum_2E0_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 inference(ennf_transformation,[],[f96])).
% 111.38/16.69 tff(f102,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : (c_2Earithmetic_2EMOD_2E2(X1,X0) = X2 | ! [X3 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2B_2E2(c_2Earithmetic_2E_2A_2E2(X3,X0),X2) != X1 | ~p(c_2Eprim__rec_2E_3C_2E2(X2,X0))))),
% 111.38/16.69 inference(ennf_transformation,[],[f48])).
% 111.38/16.69 tff(f147,plain,(
% 111.38/16.69 c_2Earithmetic_2EMOD_2E2(sK12,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))) != c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Earithmetic_2EEVEN_2E1(sK12),c_2Enum_2E0_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f98])).
% 111.38/16.69 tff(f162,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EODD_2E1(X0)) | ! [X1 : tyop_2Enum_2Enum] : c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1)) != X0) & (? [X1 : tyop_2Enum_2Enum] : X0 = c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1)) | ~p(c_2Earithmetic_2EODD_2E1(X0))))),
% 111.38/16.69 inference(nnf_transformation,[],[f47])).
% 111.38/16.69 tff(f163,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EODD_2E1(X0)) | ! [X1 : tyop_2Enum_2Enum] : c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1)) != X0) & (? [X2 : tyop_2Enum_2Enum] : c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X2)) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))))),
% 111.38/16.69 inference(rectify,[],[f162])).
% 111.38/16.69 tff(f164,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EODD_2E1(X0)) | ! [X1 : tyop_2Enum_2Enum] : c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1)) != X0) & (c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))))),
% 111.38/16.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0))],[f163])).
% 111.38/16.69 tff(f165,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EEVEN_2E1(X0)) | ! [X1 : tyop_2Enum_2Enum] : c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1) != X0) & (? [X1 : tyop_2Enum_2Enum] : X0 = c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1) | ~p(c_2Earithmetic_2EEVEN_2E1(X0))))),
% 111.38/16.69 inference(nnf_transformation,[],[f46])).
% 111.38/16.69 tff(f166,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EEVEN_2E1(X0)) | ! [X1 : tyop_2Enum_2Enum] : c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1) != X0) & (? [X2 : tyop_2Enum_2Enum] : c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X2) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))))),
% 111.38/16.69 inference(rectify,[],[f165])).
% 111.38/16.69 tff(f167,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EEVEN_2E1(X0)) | ! [X1 : tyop_2Enum_2Enum] : c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1) != X0) & (c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK14(X0)) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))))),
% 111.38/16.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0))],[f166])).
% 111.38/16.69 tff(f170,plain,(
% 111.38/16.69 ! [X0 : tyop_2Enum_2Enum] : ((p(c_2Earithmetic_2EODD_2E1(X0)) | p(c_2Earithmetic_2EEVEN_2E1(X0))) & (~p(c_2Earithmetic_2EEVEN_2E1(X0)) | ~p(c_2Earithmetic_2EODD_2E1(X0))))),
% 111.38/16.69 inference(nnf_transformation,[],[f45])).
% 111.38/16.69 tff(f248,plain,(
% 111.38/16.69 ! [X0 : tyop_2Emin_2Ebool] : (((c_2Ebool_2ET_2E0 = X0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0)) & ((X0 = c_2Ebool_2ET_2E0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0)) & ((c_2Ebool_2EF_2E0 = X0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0)) & ((X0 = c_2Ebool_2EF_2E0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0)))),
% 111.38/16.69 inference(nnf_transformation,[],[f62])).
% 111.38/16.69 tff(f249,plain,(
% 111.38/16.69 ! [X0 : tyop_2Emin_2Ebool] : ((c_2Ebool_2ET_2E0 = X0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0) & (X0 = c_2Ebool_2ET_2E0 | ~p(X0)) & (p(X0) | c_2Ebool_2ET_2E0 != X0) & (c_2Ebool_2EF_2E0 = X0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0) & (X0 = c_2Ebool_2EF_2E0 | p(X0)) & (~p(X0) | c_2Ebool_2EF_2E0 != X0))),
% 111.38/16.69 inference(flattening,[],[f248])).
% 111.38/16.69 tff(f250,plain,(
% 111.38/16.69 ! [X0 : $tType,X1 : X0] : ((X1 = X1 | ~p(c_2Ebool_2ET_2E0)) & (p(c_2Ebool_2ET_2E0) | X1 != X1))),
% 111.38/16.69 inference(nnf_transformation,[],[f60])).
% 111.38/16.69 tff(f259,plain,(
% 111.38/16.69 c_2Earithmetic_2EMOD_2E2(sK12,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))) != c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Earithmetic_2EEVEN_2E1(sK12),c_2Enum_2E0_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 inference(cnf_transformation,[],[f147])).
% 111.38/16.69 tff(f291,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,c_2Enum_2ESUC_2E1(X0)))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f79])).
% 111.38/16.69 tff(f292,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2B_2E2(X0,c_2Enum_2E0_2E0) = X0) )),
% 111.38/16.69 inference(cnf_transformation,[],[f40])).
% 111.38/16.69 tff(f293,plain,(
% 111.38/16.69 c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)) = c_2Enum_2ESUC_2E1(c_2Enum_2E0_2E0)),
% 111.38/16.69 inference(cnf_transformation,[],[f38])).
% 111.38/16.69 tff(f294,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(X0) = c_2Earithmetic_2E_2B_2E2(X0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f42])).
% 111.38/16.69 tff(f295,plain,(
% 111.38/16.69 c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)) = c_2Enum_2ESUC_2E1(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),
% 111.38/16.69 inference(cnf_transformation,[],[f39])).
% 111.38/16.69 tff(f297,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f164])).
% 111.38/16.69 tff(f298,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EODD_2E1(X0)) | c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1)) != X0) )),
% 111.38/16.69 inference(cnf_transformation,[],[f164])).
% 111.38/16.69 tff(f299,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK14(X0)) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f167])).
% 111.38/16.69 tff(f301,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2EBIT2_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,X0)) )),
% 111.38/16.69 inference(cnf_transformation,[],[f25])).
% 111.38/16.69 tff(f310,plain,(
% 111.38/16.69 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X1,X2) = X2) )),
% 111.38/16.69 inference(cnf_transformation,[],[f63])).
% 111.38/16.69 tff(f311,plain,(
% 111.38/16.69 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X1,X2) = X1) )),
% 111.38/16.69 inference(cnf_transformation,[],[f63])).
% 111.38/16.69 tff(f312,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (~p(c_2Earithmetic_2EODD_2E1(X0)) | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f170])).
% 111.38/16.69 tff(f313,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EODD_2E1(X0)) | p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f170])).
% 111.38/16.69 tff(f316,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2EEVEN_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E0,X0)) )),
% 111.38/16.69 inference(cnf_transformation,[],[f31])).
% 111.38/16.69 tff(f317,plain,(
% 111.38/16.69 ( ! [X2 : tyop_2Enum_2Enum,X3 : tyop_2Enum_2Enum,X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (c_2Earithmetic_2EMOD_2E2(X1,X0) = X2 | c_2Earithmetic_2E_2B_2E2(c_2Earithmetic_2E_2A_2E2(X3,X0),X2) != X1 | ~p(c_2Eprim__rec_2E_3C_2E2(X2,X0))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f102])).
% 111.38/16.69 tff(f319,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2ENUMERAL_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,X0)) )),
% 111.38/16.69 inference(cnf_transformation,[],[f33])).
% 111.38/16.69 tff(f407,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (c_2Eprim__rec_2E_3C_2E2(X0,X1) = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2ESUC_2E1(X0),c_2Enum_2ESUC_2E1(X1))) )),
% 111.38/16.69 inference(cnf_transformation,[],[f41])).
% 111.38/16.69 tff(f409,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,X0)) )),
% 111.38/16.69 inference(cnf_transformation,[],[f35])).
% 111.38/16.69 tff(f412,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(X0,X1) = c_2Earithmetic_2E_2A_2E2(X1,X0)) )),
% 111.38/16.69 inference(cnf_transformation,[],[f43])).
% 111.38/16.69 tff(f414,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2EODD_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0)) )),
% 111.38/16.69 inference(cnf_transformation,[],[f34])).
% 111.38/16.69 tff(f472,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Emin_2Ebool] : (~p(X0) | c_2Ebool_2EF_2E0 != X0) )),
% 111.38/16.69 inference(cnf_transformation,[],[f249])).
% 111.38/16.69 tff(f480,plain,(
% 111.38/16.69 ( ! [X1 : X0] : (p(c_2Ebool_2ET_2E0) | X1 != X1) )),
% 111.38/16.69 inference(cnf_transformation,[],[f250])).
% 111.38/16.69 tff(f534,plain,(
% 111.38/16.69 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2ET_2E0 = X0 | c_2Ebool_2EF_2E0 = X0) )),
% 111.38/16.69 inference(cnf_transformation,[],[f49])).
% 111.38/16.69 tff(f541,plain,(
% 111.38/16.69 ( ! [X1 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EODD_2E1(c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1))))) )),
% 111.38/16.69 inference(equality_resolution,[],[f298])).
% 111.38/16.69 tff(f543,plain,(
% 111.38/16.69 ( ! [X2 : tyop_2Enum_2Enum,X3 : tyop_2Enum_2Enum,X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2EMOD_2E2(c_2Earithmetic_2E_2B_2E2(c_2Earithmetic_2E_2A_2E2(X3,X0),X2),X0) = X2 | ~p(c_2Eprim__rec_2E_3C_2E2(X2,X0))) )),
% 111.38/16.69 inference(equality_resolution,[],[f317])).
% 111.38/16.69 tff(f547,plain,(
% 111.38/16.69 ~p(c_2Ebool_2EF_2E0)),
% 111.38/16.69 inference(equality_resolution,[],[f472])).
% 111.38/16.69 tff(f548,definition,(
% 111.38/16.69 sF37 = c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),
% 111.38/16.69 introduced(definition,[new_symbols(definition,[sF37])],[function_definition])).
% 111.38/16.69 tff(f549,plain,(
% 111.38/16.69 c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0) = sF37),
% 111.38/16.69 inference(reorient_equations,[],[f548])).
% 111.38/16.69 tff(f550,definition,(
% 111.38/16.69 sF38 = c_2Earithmetic_2ENUMERAL_2E1(sF37)),
% 111.38/16.69 introduced(definition,[new_symbols(definition,[sF38])],[function_definition])).
% 111.38/16.69 tff(f551,plain,(
% 111.38/16.69 c_2Earithmetic_2ENUMERAL_2E1(sF37) = sF38),
% 111.38/16.69 inference(reorient_equations,[],[f550])).
% 111.38/16.69 tff(f552,definition,(
% 111.38/16.69 sF39 = c_2Earithmetic_2EMOD_2E2(sK12,sF38)),
% 111.38/16.69 introduced(definition,[new_symbols(definition,[sF39])],[function_definition])).
% 111.38/16.69 tff(f553,plain,(
% 111.38/16.69 c_2Earithmetic_2EMOD_2E2(sK12,sF38) = sF39),
% 111.38/16.69 inference(reorient_equations,[],[f552])).
% 111.38/16.69 tff(f554,definition,(
% 111.38/16.69 sF40 = c_2Earithmetic_2EEVEN_2E1(sK12)),
% 111.38/16.69 introduced(definition,[new_symbols(definition,[sF40])],[function_definition])).
% 111.38/16.69 tff(f555,plain,(
% 111.38/16.69 c_2Earithmetic_2EEVEN_2E1(sK12) = sF40),
% 111.38/16.69 inference(reorient_equations,[],[f554])).
% 111.38/16.69 tff(f556,definition,(
% 111.38/16.69 sF41 = c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[sF41])],[function_definition])).
% 111.38/16.70 tff(f557,plain,(
% 111.38/16.70 c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0) = sF41),
% 111.38/16.70 inference(reorient_equations,[],[f556])).
% 111.38/16.70 tff(f558,definition,(
% 111.38/16.70 sF42 = c_2Earithmetic_2ENUMERAL_2E1(sF41)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[sF42])],[function_definition])).
% 111.38/16.70 tff(f559,plain,(
% 111.38/16.70 c_2Earithmetic_2ENUMERAL_2E1(sF41) = sF42),
% 111.38/16.70 inference(reorient_equations,[],[f558])).
% 111.38/16.70 tff(f560,definition,(
% 111.38/16.70 sF43 = c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,sF40,c_2Enum_2E0_2E0,sF42)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[sF43])],[function_definition])).
% 111.38/16.70 tff(f561,plain,(
% 111.38/16.70 c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,sF40,c_2Enum_2E0_2E0,sF42) = sF43),
% 111.38/16.70 inference(reorient_equations,[],[f560])).
% 111.38/16.70 tff(f562,plain,(
% 111.38/16.70 sF39 != sF43),
% 111.38/16.70 inference(definition_folding,[],[f259,f561,f559,f557,f555,f553,f551,f549])).
% 111.38/16.70 tff(f565,plain,(
% 111.38/16.70 p(c_2Ebool_2ET_2E0)),
% 111.38/16.70 inference(trivial_inequality_removal,[],[f480])).
% 111.38/16.70 tff(f571,definition,(
% 111.38/16.70 spl44_1 <=> p(c_2Ebool_2EF_2E0)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_1])],[avatar_definition])).
% 111.38/16.70 tff(f573,plain,(
% 111.38/16.70 ~p(c_2Ebool_2EF_2E0) | spl44_1),
% 111.38/16.70 inference(avatar_component_clause,[],[f571])).
% 111.38/16.70 tff(f583,definition,(
% 111.38/16.70 spl44_4 <=> p(c_2Ebool_2ET_2E0)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_4])],[avatar_definition])).
% 111.38/16.70 tff(f585,plain,(
% 111.38/16.70 p(c_2Ebool_2ET_2E0) | ~spl44_4),
% 111.38/16.70 inference(avatar_component_clause,[],[f583])).
% 111.38/16.70 tff(f604,plain,(
% 111.38/16.70 spl44_4),
% 111.38/16.70 inference(avatar_split_clause,[],[f565,f583])).
% 111.38/16.70 tff(f605,plain,(
% 111.38/16.70 ~spl44_1),
% 111.38/16.70 inference(avatar_split_clause,[],[f547,f571])).
% 111.38/16.70 tff(f653,plain,(
% 111.38/16.70 c_2Earithmetic_2EMOD_2E2(sK12,sF38) != sF43),
% 111.38/16.70 inference(backward_demodulation,[],[f562,f553])).
% 111.38/16.70 tff(f654,plain,(
% 111.38/16.70 c_2Enum_2ESUC_2E1(c_2Enum_2E0_2E0) = c_2Earithmetic_2ENUMERAL_2E1(sF41)),
% 111.38/16.70 inference(forward_demodulation,[],[f293,f557])).
% 111.38/16.70 tff(f655,plain,(
% 111.38/16.70 c_2Enum_2ESUC_2E1(c_2Enum_2E0_2E0) = sF42),
% 111.38/16.70 inference(forward_demodulation,[],[f654,f559])).
% 111.38/16.70 tff(f656,plain,(
% 111.38/16.70 p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42))),
% 111.38/16.70 inference(superposition,[],[f291,f655])).
% 111.38/16.70 tff(f658,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool,X1 : tyop_2Emin_2Ebool] : (c_2Ebool_2EF_2E0 = X1 | X0 = X1 | c_2Ebool_2EF_2E0 = X0) )),
% 111.38/16.70 inference(superposition,[],[f534,f534])).
% 111.38/16.70 tff(f666,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (~p(c_2Ebool_2ET_2E0) | ~p(c_2Earithmetic_2EEVEN_2E1(X0)) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0)) )),
% 111.38/16.70 inference(superposition,[],[f312,f534])).
% 111.38/16.70 tff(f667,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2ET_2E0 != c_2Ebool_2EF_2E0 | c_2Ebool_2EF_2E0 = X0) )),
% 111.38/16.70 inference(equality_factoring,[],[f534])).
% 111.38/16.70 tff(f669,definition,(
% 111.38/16.70 spl44_14 <=> ! [X0 : tyop_2Emin_2Ebool] : c_2Ebool_2EF_2E0 = X0),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_14])],[avatar_definition])).
% 111.38/16.70 tff(f670,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Ebool_2EF_2E0 = X0) ) | ~spl44_14),
% 111.38/16.70 inference(avatar_component_clause,[],[f669])).
% 111.38/16.70 tff(f672,definition,(
% 111.38/16.70 spl44_15 <=> c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_15])],[avatar_definition])).
% 111.38/16.70 tff(f674,plain,(
% 111.38/16.70 c_2Ebool_2ET_2E0 != c_2Ebool_2EF_2E0 | spl44_15),
% 111.38/16.70 inference(avatar_component_clause,[],[f672])).
% 111.38/16.70 tff(f675,plain,(
% 111.38/16.70 spl44_14 | ~spl44_15),
% 111.38/16.70 inference(avatar_split_clause,[],[f667,f672,f669])).
% 111.38/16.70 tff(f676,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0) | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) ) | ~spl44_4),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f666,f585])).
% 111.38/16.70 tff(f706,plain,(
% 111.38/16.70 c_2Earithmetic_2EMOD_2E2(sK12,sF38) != c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,sF40,c_2Enum_2E0_2E0,sF42)),
% 111.38/16.70 inference(backward_demodulation,[],[f653,f561])).
% 111.38/16.70 tff(f714,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(X0) = c_2Earithmetic_2E_2B_2E2(X0,c_2Earithmetic_2ENUMERAL_2E1(sF41))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f294,f557])).
% 111.38/16.70 tff(f715,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(X0) = c_2Earithmetic_2E_2B_2E2(X0,sF42)) )),
% 111.38/16.70 inference(forward_demodulation,[],[f714,f559])).
% 111.38/16.70 tff(f716,plain,(
% 111.38/16.70 c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)) = c_2Enum_2ESUC_2E1(c_2Earithmetic_2ENUMERAL_2E1(sF41))),
% 111.38/16.70 inference(forward_demodulation,[],[f295,f557])).
% 111.38/16.70 tff(f717,plain,(
% 111.38/16.70 c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)) = c_2Enum_2ESUC_2E1(sF42)),
% 111.38/16.70 inference(forward_demodulation,[],[f716,f559])).
% 111.38/16.70 tff(f718,plain,(
% 111.38/16.70 c_2Earithmetic_2ENUMERAL_2E1(sF37) = c_2Enum_2ESUC_2E1(sF42)),
% 111.38/16.70 inference(forward_demodulation,[],[f717,f549])).
% 111.38/16.70 tff(f719,plain,(
% 111.38/16.70 sF38 = c_2Enum_2ESUC_2E1(sF42)),
% 111.38/16.70 inference(forward_demodulation,[],[f718,f551])).
% 111.38/16.70 tff(f720,plain,(
% 111.38/16.70 p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38))),
% 111.38/16.70 inference(superposition,[],[f291,f719])).
% 111.38/16.70 tff(f723,plain,(
% 111.38/16.70 sF37 = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,c_2Earithmetic_2EZERO_2E0)),
% 111.38/16.70 inference(backward_demodulation,[],[f549,f301])).
% 111.38/16.70 tff(f724,plain,(
% 111.38/16.70 sF40 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E0,sK12)),
% 111.38/16.70 inference(backward_demodulation,[],[f555,f316])).
% 111.38/16.70 tff(f725,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (~p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E0,X0)) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0)) ) | ~spl44_4),
% 111.38/16.70 inference(backward_demodulation,[],[f676,f316])).
% 111.38/16.70 tff(f726,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E0,X0)) | p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 111.38/16.70 inference(backward_demodulation,[],[f313,f316])).
% 111.38/16.70 tff(f734,plain,(
% 111.38/16.70 sF38 = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,sF37)),
% 111.38/16.70 inference(backward_demodulation,[],[f551,f319])).
% 111.38/16.70 tff(f754,plain,(
% 111.38/16.70 sF42 = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Enum_2E0_2E0)),
% 111.38/16.70 inference(backward_demodulation,[],[f655,f409])).
% 111.38/16.70 tff(f756,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0)) )),
% 111.38/16.70 inference(superposition,[],[f414,f534])).
% 111.38/16.70 tff(f757,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0) | c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(X0)) )),
% 111.38/16.70 inference(superposition,[],[f414,f534])).
% 111.38/16.70 tff(f758,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1))))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f541,f414])).
% 111.38/16.70 tff(f759,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1))))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f758,f409])).
% 111.38/16.70 tff(f760,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),X1))))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f759,f319])).
% 111.38/16.70 tff(f761,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,c_2Earithmetic_2EZERO_2E0)),X1))))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f760,f301])).
% 111.38/16.70 tff(f762,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,sF37),X1))))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f761,f723])).
% 111.38/16.70 tff(f763,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(sF38,X1))))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f762,f734])).
% 111.38/16.70 tff(f835,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Eprim__rec_2E_3C_2E2(sF42,X0) = c_2Eprim__rec_2E_3C_2E2(sF38,c_2Enum_2ESUC_2E1(X0))) )),
% 111.38/16.70 inference(superposition,[],[f407,f719])).
% 111.38/16.70 tff(f837,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Eprim__rec_2E_3C_2E2(X0,sF42) = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2ESUC_2E1(X0),sF38)) )),
% 111.38/16.70 inference(superposition,[],[f407,f719])).
% 111.38/16.70 tff(f850,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Eprim__rec_2E_3C_2E2(X0,sF42) = c_2Eprim__rec_2E_3C_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,X0),sF38)) )),
% 111.38/16.70 inference(superposition,[],[f837,f409])).
% 111.38/16.70 tff(f860,definition,(
% 111.38/16.70 spl44_16 <=> p(sF40)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_16])],[avatar_definition])).
% 111.38/16.70 tff(f861,plain,(
% 111.38/16.70 ~p(sF40) | spl44_16),
% 111.38/16.70 inference(avatar_component_clause,[],[f860])).
% 111.38/16.70 tff(f862,plain,(
% 111.38/16.70 p(sF40) | ~spl44_16),
% 111.38/16.70 inference(avatar_component_clause,[],[f860])).
% 111.38/16.70 tff(f864,definition,(
% 111.38/16.70 spl44_17 <=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12))),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_17])],[avatar_definition])).
% 111.38/16.70 tff(f866,plain,(
% 111.38/16.70 p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12)) | ~spl44_17),
% 111.38/16.70 inference(avatar_component_clause,[],[f864])).
% 111.38/16.70 tff(f993,definition,(
% 111.38/16.70 spl44_18 <=> ! [X1 : tyop_2Emin_2Ebool] : (sF40 = X1 | c_2Ebool_2EF_2E0 = X1)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_18])],[avatar_definition])).
% 111.38/16.70 tff(f994,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Emin_2Ebool] : (sF40 = X1 | c_2Ebool_2EF_2E0 = X1) ) | ~spl44_18),
% 111.38/16.70 inference(avatar_component_clause,[],[f993])).
% 111.38/16.70 tff(f997,definition,(
% 111.38/16.70 spl44_19 <=> ! [X1 : tyop_2Emin_2Ebool] : (c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) = X1 | c_2Ebool_2EF_2E0 = X1)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_19])],[avatar_definition])).
% 111.38/16.70 tff(f998,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Emin_2Ebool] : (c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) = X1 | c_2Ebool_2EF_2E0 = X1) ) | ~spl44_19),
% 111.38/16.70 inference(avatar_component_clause,[],[f997])).
% 111.38/16.70 tff(f1001,definition,(
% 111.38/16.70 spl44_20 <=> ! [X1 : tyop_2Emin_2Ebool] : (c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38) = X1 | c_2Ebool_2EF_2E0 = X1)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_20])],[avatar_definition])).
% 111.38/16.70 tff(f1002,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Emin_2Ebool] : (c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38) = X1 | c_2Ebool_2EF_2E0 = X1) ) | ~spl44_20),
% 111.38/16.70 inference(avatar_component_clause,[],[f1001])).
% 111.38/16.70 tff(f1009,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (p(c_2Ebool_2EF_2E0) | p(c_2Earithmetic_2EODD_2E1(X0))) ) | ~spl44_14),
% 111.38/16.70 inference(backward_demodulation,[],[f726,f670])).
% 111.38/16.70 tff(f1069,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (p(c_2Earithmetic_2EODD_2E1(X0))) ) | (spl44_1 | ~spl44_14)),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f1009,f573])).
% 111.38/16.70 tff(f1070,plain,(
% 111.38/16.70 p(c_2Ebool_2EF_2E0) | (spl44_1 | ~spl44_14)),
% 111.38/16.70 inference(forward_demodulation,[],[f1069,f670])).
% 111.38/16.70 tff(f1071,plain,(
% 111.38/16.70 $false | (spl44_1 | ~spl44_14)),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f1070,f573])).
% 111.38/16.70 tff(f1072,plain,(
% 111.38/16.70 spl44_1 | ~spl44_14),
% 111.38/16.70 inference(avatar_contradiction_clause,[],[f1071])).
% 111.38/16.70 tff(f1088,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (p(c_2Ebool_2EF_2E0) | c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) = X0 | c_2Ebool_2EF_2E0 = X0) )),
% 111.38/16.70 inference(superposition,[],[f656,f658])).
% 111.38/16.70 tff(f1091,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) = X0 | c_2Ebool_2EF_2E0 = X0) ) | spl44_1),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f1088,f573])).
% 111.38/16.70 tff(f1092,plain,(
% 111.38/16.70 spl44_19 | spl44_1),
% 111.38/16.70 inference(avatar_split_clause,[],[f1091,f571,f997])).
% 111.38/16.70 tff(f1093,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (p(c_2Ebool_2EF_2E0) | c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38) = X0 | c_2Ebool_2EF_2E0 = X0) )),
% 111.38/16.70 inference(superposition,[],[f720,f658])).
% 111.38/16.70 tff(f1096,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38) = X0 | c_2Ebool_2EF_2E0 = X0) ) | spl44_1),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f1093,f573])).
% 111.38/16.70 tff(f1097,plain,(
% 111.38/16.70 spl44_20 | spl44_1),
% 111.38/16.70 inference(avatar_split_clause,[],[f1096,f571,f1001])).
% 111.38/16.70 tff(f1113,definition,(
% 111.38/16.70 spl44_23 <=> ! [X1 : tyop_2Emin_2Ebool] : (c_2Ebool_2ET_2E0 = X1 | c_2Ebool_2EF_2E0 = X1)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_23])],[avatar_definition])).
% 111.38/16.70 tff(f1114,plain,(
% 111.38/16.70 ( ! [X1 : tyop_2Emin_2Ebool] : (c_2Ebool_2ET_2E0 = X1 | c_2Ebool_2EF_2E0 = X1) ) | ~spl44_23),
% 111.38/16.70 inference(avatar_component_clause,[],[f1113])).
% 111.38/16.70 tff(f1116,plain,(
% 111.38/16.70 spl44_23),
% 111.38/16.70 inference(avatar_split_clause,[],[f534,f1113])).
% 111.38/16.70 tff(f1137,plain,(
% 111.38/16.70 ~p(c_2Ebool_2ET_2E0) | c_2Ebool_2EF_2E0 = sF40 | (spl44_16 | ~spl44_23)),
% 111.38/16.70 inference(superposition,[],[f861,f1114])).
% 111.38/16.70 tff(f1143,plain,(
% 111.38/16.70 c_2Ebool_2EF_2E0 = sF40 | (~spl44_4 | spl44_16 | ~spl44_23)),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f1137,f585])).
% 111.38/16.70 tff(f1241,plain,(
% 111.38/16.70 c_2Earithmetic_2EMOD_2E2(sK12,sF38) != c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Ebool_2EF_2E0,c_2Enum_2E0_2E0,sF42) | (~spl44_4 | spl44_16 | ~spl44_23)),
% 111.38/16.70 inference(forward_demodulation,[],[f706,f1143])).
% 111.38/16.70 tff(f1242,plain,(
% 111.38/16.70 c_2Earithmetic_2EMOD_2E2(sK12,sF38) != sF42 | (~spl44_4 | spl44_16 | ~spl44_23)),
% 111.38/16.70 inference(forward_demodulation,[],[f1241,f310])).
% 111.38/16.70 tff(f1426,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (p(c_2Ebool_2EF_2E0) | sF40 = X0 | c_2Ebool_2EF_2E0 = X0) ) | ~spl44_16),
% 111.38/16.70 inference(superposition,[],[f862,f658])).
% 111.38/16.70 tff(f1430,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Emin_2Ebool] : (sF40 = X0 | c_2Ebool_2EF_2E0 = X0) ) | (spl44_1 | ~spl44_16)),
% 111.38/16.70 inference(forward_subsumption_resolution,[],[f1426,f573])).
% 111.38/16.70 tff(f1431,plain,(
% 111.38/16.70 spl44_18 | spl44_1 | ~spl44_16),
% 111.38/16.70 inference(avatar_split_clause,[],[f1430,f860,f571,f993])).
% 111.38/16.70 tff(f1520,plain,(
% 111.38/16.70 p(sF40) | p(c_2Earithmetic_2EODD_2E1(sK12))),
% 111.38/16.70 inference(superposition,[],[f726,f724])).
% 111.38/16.70 tff(f1813,plain,(
% 111.38/16.70 ~p(sF40) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(sK12) | ~spl44_4),
% 111.38/16.70 inference(superposition,[],[f725,f724])).
% 111.38/16.70 tff(f1958,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK14(X0)) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f299,f319])).
% 111.38/16.70 tff(f1959,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,c_2Earithmetic_2EZERO_2E0)),sK14(X0)) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f1958,f301])).
% 111.38/16.70 tff(f1960,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,sF37),sK14(X0)) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f1959,f723])).
% 111.38/16.70 tff(f1961,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(sF38,sK14(X0)) = X0 | ~p(c_2Earithmetic_2EEVEN_2E1(X0))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f1960,f734])).
% 111.38/16.70 tff(f1962,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (~p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EEVEN_2E0,X0)) | c_2Earithmetic_2E_2A_2E2(sF38,sK14(X0)) = X0) )),
% 111.38/16.70 inference(forward_demodulation,[],[f1961,f316])).
% 111.38/16.70 tff(f1970,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = sF40 | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0) | c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0)) ) | ~spl44_18),
% 111.38/16.70 inference(superposition,[],[f756,f994])).
% 111.38/16.70 tff(f1971,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0) | c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0)) ) | ~spl44_19),
% 111.38/16.70 inference(superposition,[],[f756,f998])).
% 111.38/16.70 tff(f1972,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0) | c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0)) ) | ~spl44_20),
% 111.38/16.70 inference(superposition,[],[f756,f1002])).
% 111.38/16.70 tff(f1980,definition,(
% 111.38/16.70 spl44_33 <=> ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0) | c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0))),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_33])],[avatar_definition])).
% 111.38/16.70 tff(f1981,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,X0) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0)) ) | ~spl44_33),
% 111.38/16.70 inference(avatar_component_clause,[],[f1980])).
% 111.38/16.70 tff(f1987,definition,(
% 111.38/16.70 spl44_35 <=> c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_35])],[avatar_definition])).
% 111.38/16.70 tff(f1989,plain,(
% 111.38/16.70 c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38) | ~spl44_35),
% 111.38/16.70 inference(avatar_component_clause,[],[f1987])).
% 111.38/16.70 tff(f1990,plain,(
% 111.38/16.70 spl44_33 | spl44_35 | ~spl44_20),
% 111.38/16.70 inference(avatar_split_clause,[],[f1972,f1001,f1987,f1980])).
% 111.38/16.70 tff(f1992,definition,(
% 111.38/16.70 spl44_36 <=> c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_36])],[avatar_definition])).
% 111.38/16.70 tff(f1994,plain,(
% 111.38/16.70 c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) | ~spl44_36),
% 111.38/16.70 inference(avatar_component_clause,[],[f1992])).
% 111.38/16.70 tff(f1995,plain,(
% 111.38/16.70 spl44_33 | spl44_36 | ~spl44_19),
% 111.38/16.70 inference(avatar_split_clause,[],[f1971,f997,f1992,f1980])).
% 111.38/16.70 tff(f1997,definition,(
% 111.38/16.70 spl44_37 <=> c_2Ebool_2ET_2E0 = sF40),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_37])],[avatar_definition])).
% 111.38/16.70 tff(f1999,plain,(
% 111.38/16.70 c_2Ebool_2ET_2E0 = sF40 | ~spl44_37),
% 111.38/16.70 inference(avatar_component_clause,[],[f1997])).
% 111.38/16.70 tff(f2000,plain,(
% 111.38/16.70 spl44_33 | spl44_37 | ~spl44_18),
% 111.38/16.70 inference(avatar_split_clause,[],[f1970,f993,f1997,f1980])).
% 111.38/16.70 tff(f2124,plain,(
% 111.38/16.70 p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12)) | p(sF40)),
% 111.38/16.70 inference(forward_demodulation,[],[f1520,f414])).
% 111.38/16.70 tff(f2126,plain,(
% 111.38/16.70 c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12) | ~p(sF40) | ~spl44_4),
% 111.38/16.70 inference(forward_demodulation,[],[f1813,f414])).
% 111.38/16.70 tff(f2132,plain,(
% 111.38/16.70 spl44_16 | spl44_17),
% 111.38/16.70 inference(avatar_split_clause,[],[f2124,f864,f860])).
% 111.38/16.70 tff(f2135,definition,(
% 111.38/16.70 spl44_43 <=> c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12)),
% 111.38/16.70 introduced(definition,[new_symbols(definition,[spl44_43])],[avatar_definition])).
% 111.38/16.70 tff(f2137,plain,(
% 111.38/16.70 c_2Ebool_2EF_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12) | ~spl44_43),
% 111.38/16.70 inference(avatar_component_clause,[],[f2135])).
% 111.38/16.70 tff(f2138,plain,(
% 111.38/16.70 ~spl44_16 | spl44_43 | ~spl44_4),
% 111.38/16.70 inference(avatar_split_clause,[],[f2126,f583,f2135,f860])).
% 111.38/16.70 tff(f2332,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f297,f409])).
% 111.38/16.70 tff(f2333,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 111.38/16.70 inference(forward_demodulation,[],[f2332,f319])).
% 111.38/16.70 tff(f2334,plain,(
% 111.38/16.70 ( ! [X0 : tyop_2Enum_2Enum] : (app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,c_2Earithmetic_2EZERO_2E0)),sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(forward_demodulation,[],[f2333,f301])).
% 112.47/16.89 tff(f2335,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,sF37),sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(forward_demodulation,[],[f2334,f723])).
% 112.47/16.89 tff(f2336,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Enum_2ESUC_2E0,c_2Earithmetic_2E_2A_2E2(sF38,sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(forward_demodulation,[],[f2335,f734])).
% 112.47/16.89 tff(f2356,plain,(
% 112.47/16.89 c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) = c_2Eprim__rec_2E_3C_2E2(sF42,sF38)),
% 112.47/16.89 inference(superposition,[],[f850,f754])).
% 112.47/16.89 tff(f2365,plain,(
% 112.47/16.89 c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF42) = c_2Eprim__rec_2E_3C_2E2(sF38,c_2Enum_2ESUC_2E1(sF38))),
% 112.47/16.89 inference(forward_demodulation,[],[f2356,f835])).
% 112.47/16.89 tff(f2366,plain,(
% 112.47/16.89 c_2Ebool_2ET_2E0 = c_2Eprim__rec_2E_3C_2E2(sF38,c_2Enum_2ESUC_2E1(sF38)) | ~spl44_36),
% 112.47/16.89 inference(forward_demodulation,[],[f2365,f1994])).
% 112.47/16.89 tff(f3846,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0) | c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0)) ) | ~spl44_33),
% 112.47/16.89 inference(superposition,[],[f414,f1981])).
% 112.47/16.89 tff(f3847,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2EF_2E0 = c_2Earithmetic_2EODD_2E1(X0)) ) | ~spl44_33),
% 112.47/16.89 inference(duplicate_literal_removal,[],[f3846])).
% 112.47/16.89 tff(f3925,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(sF38,X0))))) )),
% 112.47/16.89 inference(superposition,[],[f763,f409])).
% 112.47/16.89 tff(f3945,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (p(c_2Ebool_2EF_2E0) | c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(sF38,X0)))) )),
% 112.47/16.89 inference(superposition,[],[f3925,f757])).
% 112.47/16.89 tff(f3960,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(sF38,X0)))) ) | spl44_1),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f3945,f573])).
% 112.47/16.89 tff(f4100,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(sF38,sK14(X0)) = X0 | p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(resolution,[],[f1962,f726])).
% 112.47/16.89 tff(f4138,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Earithmetic_2E_2A_2E2(sK14(X0),sF38) = X0 | p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(superposition,[],[f4100,f412])).
% 112.47/16.89 tff(f4145,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(c_2Enum_2ESUC_2E1(X0)) | p(c_2Earithmetic_2EODD_2E1(X0))) ) | spl44_1),
% 112.47/16.89 inference(superposition,[],[f3960,f4100])).
% 112.47/16.89 tff(f4890,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (c_2Enum_2E0_2E0 = c_2Earithmetic_2EMOD_2E2(c_2Earithmetic_2E_2A_2E2(X1,X0),X0) | ~p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,X0))) )),
% 112.47/16.89 inference(superposition,[],[f543,f292])).
% 112.47/16.89 tff(f4891,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (sF42 = c_2Earithmetic_2EMOD_2E2(c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(X1,X0)),X0) | ~p(c_2Eprim__rec_2E_3C_2E2(sF42,X0))) )),
% 112.47/16.89 inference(superposition,[],[f543,f715])).
% 112.47/16.89 tff(f4892,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum,X1 : tyop_2Enum_2Enum] : (sF42 = c_2Earithmetic_2EMOD_2E2(c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(X1,X0)),X0) | ~p(c_2Eprim__rec_2E_3C_2E2(sF38,c_2Enum_2ESUC_2E1(X0)))) )),
% 112.47/16.89 inference(forward_demodulation,[],[f4891,f835])).
% 112.47/16.89 tff(f4955,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2E0_2E0 = c_2Earithmetic_2EMOD_2E2(X0,sF38) | ~p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,sF38)) | p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(superposition,[],[f4890,f4138])).
% 112.47/16.89 tff(f4956,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (~p(c_2Ebool_2ET_2E0) | c_2Enum_2E0_2E0 = c_2Earithmetic_2EMOD_2E2(X0,sF38) | p(c_2Earithmetic_2EODD_2E1(X0))) ) | ~spl44_35),
% 112.47/16.89 inference(forward_demodulation,[],[f4955,f1989])).
% 112.47/16.89 tff(f4966,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2E0_2E0 = c_2Earithmetic_2EMOD_2E2(X0,sF38) | p(c_2Earithmetic_2EODD_2E1(X0))) ) | (~spl44_4 | ~spl44_35)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f4956,f585])).
% 112.47/16.89 tff(f5056,plain,(
% 112.47/16.89 p(c_2Ebool_2EF_2E0) | c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(sK12) | ~spl44_17),
% 112.47/16.89 inference(superposition,[],[f866,f757])).
% 112.47/16.89 tff(f5397,plain,(
% 112.47/16.89 c_2Earithmetic_2EMOD_2E2(sK12,sF38) != c_2Ebool_2ECOND_2E3(tyop_2Enum_2Enum,c_2Ebool_2ET_2E0,c_2Enum_2E0_2E0,sF42) | ~spl44_37),
% 112.47/16.89 inference(forward_demodulation,[],[f706,f1999])).
% 112.47/16.89 tff(f5398,plain,(
% 112.47/16.89 c_2Enum_2E0_2E0 != c_2Earithmetic_2EMOD_2E2(sK12,sF38) | ~spl44_37),
% 112.47/16.89 inference(forward_demodulation,[],[f5397,f311])).
% 112.47/16.89 tff(f5399,plain,(
% 112.47/16.89 c_2Enum_2E0_2E0 != c_2Enum_2E0_2E0 | p(c_2Earithmetic_2EODD_2E1(sK12)) | (~spl44_4 | ~spl44_35 | ~spl44_37)),
% 112.47/16.89 inference(superposition,[],[f5398,f4966])).
% 112.47/16.89 tff(f5400,plain,(
% 112.47/16.89 p(c_2Earithmetic_2EODD_2E1(sK12)) | (~spl44_4 | ~spl44_35 | ~spl44_37)),
% 112.47/16.89 inference(trivial_inequality_removal,[],[f5399])).
% 112.47/16.89 tff(f5401,plain,(
% 112.47/16.89 p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12)) | (~spl44_4 | ~spl44_35 | ~spl44_37)),
% 112.47/16.89 inference(forward_demodulation,[],[f5400,f414])).
% 112.47/16.89 tff(f5402,plain,(
% 112.47/16.89 p(c_2Ebool_2EF_2E0) | (~spl44_4 | ~spl44_35 | ~spl44_37 | ~spl44_43)),
% 112.47/16.89 inference(forward_demodulation,[],[f5401,f2137])).
% 112.47/16.89 tff(f5403,plain,(
% 112.47/16.89 $false | (spl44_1 | ~spl44_4 | ~spl44_35 | ~spl44_37 | ~spl44_43)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f5402,f573])).
% 112.47/16.89 tff(f5404,plain,(
% 112.47/16.89 spl44_1 | ~spl44_4 | ~spl44_35 | ~spl44_37 | ~spl44_43),
% 112.47/16.89 inference(avatar_contradiction_clause,[],[f5403])).
% 112.47/16.89 tff(f5416,plain,(
% 112.47/16.89 c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(sK12) | (spl44_1 | ~spl44_17)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f5056,f573])).
% 112.47/16.89 tff(f5426,plain,(
% 112.47/16.89 c_2Ebool_2ET_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12) | (spl44_1 | ~spl44_17)),
% 112.47/16.89 inference(forward_demodulation,[],[f5416,f414])).
% 112.47/16.89 tff(f6560,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(sF38,sK13(X0))) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(superposition,[],[f2336,f409])).
% 112.47/16.89 tff(f6596,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Enum_2ESUC_2E1(c_2Earithmetic_2E_2A_2E2(sK13(X0),sF38)) = X0 | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(superposition,[],[f6560,f412])).
% 112.47/16.89 tff(f7301,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (sF42 = c_2Earithmetic_2EMOD_2E2(X0,sF38) | ~p(c_2Eprim__rec_2E_3C_2E2(sF38,c_2Enum_2ESUC_2E1(sF38))) | ~p(c_2Earithmetic_2EODD_2E1(X0))) )),
% 112.47/16.89 inference(superposition,[],[f4892,f6596])).
% 112.47/16.89 tff(f7307,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (~p(c_2Ebool_2ET_2E0) | sF42 = c_2Earithmetic_2EMOD_2E2(X0,sF38) | ~p(c_2Earithmetic_2EODD_2E1(X0))) ) | ~spl44_36),
% 112.47/16.89 inference(forward_demodulation,[],[f7301,f2366])).
% 112.47/16.89 tff(f7310,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (sF42 = c_2Earithmetic_2EMOD_2E2(X0,sF38) | ~p(c_2Earithmetic_2EODD_2E1(X0))) ) | (~spl44_4 | ~spl44_36)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f7307,f585])).
% 112.47/16.89 tff(f7319,plain,(
% 112.47/16.89 sF42 != sF42 | ~p(c_2Earithmetic_2EODD_2E1(sK12)) | (~spl44_4 | spl44_16 | ~spl44_23 | ~spl44_36)),
% 112.47/16.89 inference(superposition,[],[f1242,f7310])).
% 112.47/16.89 tff(f7320,plain,(
% 112.47/16.89 ~p(c_2Earithmetic_2EODD_2E1(sK12)) | (~spl44_4 | spl44_16 | ~spl44_23 | ~spl44_36)),
% 112.47/16.89 inference(trivial_inequality_removal,[],[f7319])).
% 112.47/16.89 tff(f7321,plain,(
% 112.47/16.89 ~p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2Earithmetic_2EODD_2E0,sK12)) | (~spl44_4 | spl44_16 | ~spl44_23 | ~spl44_36)),
% 112.47/16.89 inference(forward_demodulation,[],[f7320,f414])).
% 112.47/16.89 tff(f7322,plain,(
% 112.47/16.89 ~p(c_2Ebool_2ET_2E0) | (spl44_1 | ~spl44_4 | spl44_16 | ~spl44_17 | ~spl44_23 | ~spl44_36)),
% 112.47/16.89 inference(forward_demodulation,[],[f7321,f5426])).
% 112.47/16.89 tff(f7323,plain,(
% 112.47/16.89 $false | (spl44_1 | ~spl44_4 | spl44_16 | ~spl44_17 | ~spl44_23 | ~spl44_36)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f7322,f585])).
% 112.47/16.89 tff(f7324,plain,(
% 112.47/16.89 spl44_1 | ~spl44_4 | spl44_16 | ~spl44_17 | ~spl44_23 | ~spl44_36),
% 112.47/16.89 inference(avatar_contradiction_clause,[],[f7323])).
% 112.47/16.89 tff(f7382,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (p(c_2Ebool_2EF_2E0) | c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(c_2Enum_2ESUC_2E1(X0))) ) | (spl44_1 | ~spl44_33)),
% 112.47/16.89 inference(backward_demodulation,[],[f4145,f3847])).
% 112.47/16.89 tff(f7435,plain,(
% 112.47/16.89 ( ! [X0 : tyop_2Enum_2Enum] : (c_2Ebool_2ET_2E0 = c_2Earithmetic_2EODD_2E1(c_2Enum_2ESUC_2E1(X0))) ) | (spl44_1 | ~spl44_33)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f7382,f573])).
% 112.47/16.89 tff(f7454,plain,(
% 112.47/16.89 c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 | (spl44_1 | ~spl44_33)),
% 112.47/16.89 inference(forward_demodulation,[],[f7435,f3847])).
% 112.47/16.89 tff(f7459,plain,(
% 112.47/16.89 $false | (spl44_1 | spl44_15 | ~spl44_33)),
% 112.47/16.89 inference(forward_subsumption_resolution,[],[f7454,f674])).
% 112.47/16.89 tff(f7460,plain,(
% 112.47/16.89 spl44_1 | spl44_15 | ~spl44_33),
% 112.47/16.89 inference(avatar_contradiction_clause,[],[f7459])).
% 112.47/16.89 cnf(s21, plain, spl44_4, inference(sat_conversion,[],[f604])).
% 112.47/16.89 cnf(s22, plain, ~spl44_1, inference(sat_conversion,[],[f605])).
% 112.47/16.89 cnf(s44, plain, spl44_14 | ~spl44_15, inference(sat_conversion,[],[f675])).
% 112.47/16.89 cnf(s61, plain, spl44_1 | ~spl44_14, inference(sat_conversion,[],[f1072])).
% 112.47/16.89 cnf(s63, plain, spl44_1 | spl44_19, inference(sat_conversion,[],[f1092])).
% 112.47/16.89 cnf(s64, plain, spl44_1 | spl44_20, inference(sat_conversion,[],[f1097])).
% 112.47/16.89 cnf(s67, plain, spl44_23, inference(sat_conversion,[],[f1116])).
% 112.47/16.89 cnf(s81, plain, spl44_1 | ~spl44_16 | spl44_18, inference(sat_conversion,[],[f1431])).
% 112.47/16.89 cnf(s95, plain, ~spl44_20 | spl44_33 | spl44_35, inference(sat_conversion,[],[f1990])).
% 112.47/16.89 cnf(s96, plain, ~spl44_19 | spl44_33 | spl44_36, inference(sat_conversion,[],[f1995])).
% 112.47/16.89 cnf(s97, plain, ~spl44_18 | spl44_33 | spl44_37, inference(sat_conversion,[],[f2000])).
% 112.47/16.89 cnf(s113, plain, spl44_16 | spl44_17, inference(sat_conversion,[],[f2132])).
% 112.47/16.89 cnf(s115, plain, ~spl44_4 | ~spl44_16 | spl44_43, inference(sat_conversion,[],[f2138])).
% 112.47/16.89 cnf(s327, plain, spl44_1 | ~spl44_4 | ~spl44_35 | ~spl44_37 | ~spl44_43, inference(sat_conversion,[],[f5404])).
% 112.47/16.89 cnf(s406, plain, spl44_1 | ~spl44_4 | spl44_16 | ~spl44_17 | ~spl44_23 | ~spl44_36, inference(sat_conversion,[],[f7324])).
% 112.47/16.89 cnf(s416, plain, spl44_1 | spl44_15 | ~spl44_33, inference(sat_conversion,[],[f7460])).
% 112.47/16.89 cnf(s425, plain, spl44_20, inference(rat,[],[s64,s22])).
% 112.47/16.89 cnf(s426, plain, spl44_19, inference(rat,[],[s63,s22])).
% 112.47/16.89 cnf(s427, plain, ~spl44_14, inference(rat,[],[s61,s22])).
% 112.47/16.89 cnf(s446, plain, ~spl44_15, inference(rat,[],[s44,s427])).
% 112.47/16.89 cnf(s447, plain, ~spl44_33, inference(rat,[],[s416,s22,s446])).
% 112.47/16.89 cnf(s451, plain, spl44_36, inference(rat,[],[s96,s426,s447])).
% 112.47/16.89 cnf(s452, plain, spl44_35, inference(rat,[],[s95,s425,s447])).
% 112.47/16.89 cnf(s475, plain, spl44_16, inference(rat,[],[s406,s113,s22,s21,s67,s451])).
% 112.47/16.89 cnf(s476, plain, spl44_43, inference(rat,[],[s115,s21,s475])).
% 112.47/16.89 cnf(s478, plain, spl44_18, inference(rat,[],[s81,s22,s475])).
% 112.47/16.89 cnf(s481, plain, ~spl44_37, inference(rat,[],[s327,s21,s452,s22,s476])).
% 112.47/16.89 cnf(s484, plain, $false, inference(rat,[],[s97,s447,s481,s478])).
% 112.47/16.89 tff(f7462,plain,(
% 112.47/16.89 $false),
% 112.47/16.89 inference(avatar_sat_refutation,[],[s484])).
% 112.47/16.89 % SZS output end Proof for theBenchmark
% 112.47/16.89 % (2706318)------------------------------
% 112.47/16.89 % (2706318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.47/16.89 % (2706318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.47/16.89 % (2706318)CaDiCaL version: 2.1.3
% 112.47/16.89 % (2706318)Termination reason: Refutation
% 112.47/16.89 % (2706318)Time elapsed: 0.204 s
% 112.47/16.89 % (2706318)Peak memory usage: 91 MB
% 112.47/16.89 % (2706318)Instructions burned: 340 (million)
% 112.47/16.89 % (2706318)------------------------------
% 112.47/16.89 % (2706318)------------------------------
% 112.47/16.89 % (2706053)Success in time 15.833 s
% 112.47/16.89 % Vampire exiting
%------------------------------------------------------------------------------