%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP125^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 : Wed Sep 30 08:10:47 AM UTC 2026
% Result : Theorem 129.84s 18.66s
% Output : Refutation 129.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP125^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:58:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/1.26 % (3328641)Will run a generic schedule for satisfiability detection.
% 6.68/1.26 % (3328657)% WARNING: option uhcvi not known.
% 6.68/1.26 % (3328657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2854150843:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.68/1.26 % (3328658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4230567037:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.68/1.26 % (3328659)dis+10_1_sil=32000:sp=arity:random_seed=261466743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.68/1.26 % (3328660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1767018725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.68/1.26 % (3328656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3556912867_2999 on theBenchmark for (2999ds/0Mi)
% 6.68/1.26 % (3328657)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.68/1.26 % (3328657)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.68/1.26 % (3328660)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.68/1.26 % (3328661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1449054895:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.68/1.26 % (3328662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1777942099:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.68/1.26 % Exception at run slice level
% 6.68/1.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.68/1.26 % (3328659)Instruction limit reached!
% 6.68/1.26 % (3328659)------------------------------
% 6.68/1.26 % (3328659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.26 % (3328659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.26 % (3328659)CaDiCaL version: 2.1.3
% 6.68/1.26 % (3328659)Termination reason: Instruction limit
% 6.68/1.26 % (3328659)Termination phase: Saturation
% 6.68/1.26 % (3328659)Time elapsed: 0.044 s
% 6.68/1.26 % (3328659)Peak memory usage: 12 MB
% 6.68/1.26 % (3328659)Instructions burned: 103 (million)
% 6.68/1.26 % (3328660)Instruction limit reached!
% 6.68/1.26 % (3328660)------------------------------
% 6.68/1.26 % (3328660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.26 % (3328660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.26 % (3328660)CaDiCaL version: 2.1.3
% 6.68/1.26 % (3328660)Termination reason: Instruction limit
% 6.68/1.26 % (3328660)Termination phase: Saturation
% 6.68/1.26 % (3328660)Time elapsed: 0.050 s
% 6.68/1.26 % (3328660)Peak memory usage: 12 MB
% 6.68/1.26 % (3328660)Instructions burned: 118 (million)
% 6.68/1.26 % (3328670)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=657886681:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.68/1.26 % (3328672)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2720899670:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.68/1.26 % (3328671)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3544520699:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.68/1.26 % (3328672)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.68/1.26 % (3328662)Instruction limit reached!
% 6.68/1.26 % (3328662)------------------------------
% 6.68/1.26 % (3328662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.26 % (3328662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.26 % (3328662)CaDiCaL version: 2.1.3
% 6.68/1.26 % (3328662)Termination reason: Instruction limit
% 6.68/1.26 % (3328662)Termination phase: Saturation
% 6.68/1.26 % (3328662)Time elapsed: 0.070 s
% 6.68/1.26 % (3328662)Peak memory usage: 14 MB
% 6.68/1.26 % (3328662)Instructions burned: 160 (million)
% 6.68/1.26 % Exception at run slice level
% 6.68/1.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.68/1.26 % (3328676)ott-21_1_sil=16000:fs=off:random_seed=3014874587:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.68/1.26 % (3328672)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.68/1.26 % (3328661)Instruction limit reached!
% 20.45/3.16 % (3328661)------------------------------
% 20.45/3.16 % (3328661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.45/3.16 % (3328661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.45/3.16 % (3328661)CaDiCaL version: 2.1.3
% 20.45/3.16 % (3328661)Termination reason: Instruction limit
% 20.45/3.16 % (3328661)Termination phase: Saturation
% 20.45/3.16 % (3328661)Time elapsed: 0.095 s
% 20.45/3.16 % (3328661)Peak memory usage: 13 MB
% 20.45/3.16 % (3328661)Instructions burned: 132 (million)
% 20.45/3.16 % (3328677)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=39170285:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.45/3.16 % (3328679)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1292212645:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.45/3.16 % (3328671)Instruction limit reached!
% 20.45/3.16 % (3328671)------------------------------
% 20.45/3.16 % (3328671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.45/3.16 % (3328671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.45/3.16 % (3328671)CaDiCaL version: 2.1.3
% 20.45/3.16 % (3328671)Termination reason: Instruction limit
% 20.45/3.16 % (3328671)Termination phase: Saturation
% 20.45/3.16 % (3328671)Time elapsed: 0.077 s
% 20.45/3.16 % (3328671)Peak memory usage: 13 MB
% 20.45/3.16 % (3328671)Instructions burned: 132 (million)
% 20.45/3.16 % Exception at run slice level
% 20.45/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.45/3.16 % (3328682)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2518835776:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 20.45/3.16 % (3328676)Instruction limit reached!
% 20.45/3.16 % (3328676)------------------------------
% 20.45/3.16 % (3328676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.45/3.16 % (3328676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.45/3.16 % (3328676)CaDiCaL version: 2.1.3
% 20.45/3.16 % (3328676)Termination reason: Instruction limit
% 20.45/3.16 % (3328676)Termination phase: Saturation
% 20.45/3.16 % (3328676)Time elapsed: 0.079 s
% 20.45/3.16 % (3328676)Peak memory usage: 13 MB
% 20.45/3.16 % (3328676)Instructions burned: 182 (million)
% 20.45/3.16 % (3328683)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2440662613:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 20.45/3.16 % (3328685)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3781695545:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 20.45/3.16 % (3328685)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.45/3.16 % Exception at run slice level
% 20.45/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.45/3.16 % (3328688)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1969351121:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 20.45/3.16 % (3328688)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.45/3.16 % (3328677)Instruction limit reached!
% 20.45/3.16 % (3328677)------------------------------
% 20.45/3.16 % (3328677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.45/3.16 % (3328677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.45/3.16 % (3328677)CaDiCaL version: 2.1.3
% 20.45/3.16 % (3328677)Termination reason: Instruction limit
% 20.45/3.16 % (3328677)Termination phase: Saturation
% 20.45/3.16 % (3328677)Time elapsed: 0.241 s
% 20.45/3.16 % (3328677)Peak memory usage: 15 MB
% 20.45/3.16 % (3328677)Instructions burned: 478 (million)
% 20.45/3.16 % (3328690)fmb+10_1_sil=64000:random_seed=2071892787:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 20.45/3.16 % (3328690)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.45/3.16 % Exception at run slice level
% 20.45/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.45/3.16 % (3328672)Instruction limit reached!
% 20.45/3.16 % (3328672)------------------------------
% 20.45/3.16 % (3328672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.45/3.16 % (3328672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.28/7.55 % (3328672)CaDiCaL version: 2.1.3
% 51.28/7.55 % (3328672)Termination reason: Instruction limit
% 51.28/7.55 % (3328672)Termination phase: Saturation
% 51.28/7.55 % (3328672)Time elapsed: 0.359 s
% 51.28/7.55 % (3328672)Peak memory usage: 19 MB
% 51.28/7.55 % (3328672)Instructions burned: 686 (million)
% 51.28/7.55 % (3328692)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=303220484:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 51.28/7.55 % (3328693)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1949887809:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 51.28/7.55 % Exception at run slice level
% 51.28/7.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 51.28/7.55 % Exception at run slice level
% 51.28/7.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 51.28/7.55 % (3328696)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1466612601:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 51.28/7.55 % (3328697)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2384022045:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 51.28/7.55 % (3328696)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 51.28/7.55 % (3328697)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 51.28/7.55 % (3328697)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 51.28/7.55 % (3328685)Instruction limit reached!
% 51.28/7.55 % (3328685)------------------------------
% 51.28/7.55 % (3328685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.28/7.55 % (3328685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.28/7.55 % (3328685)CaDiCaL version: 2.1.3
% 51.28/7.55 % (3328685)Termination reason: Instruction limit
% 51.28/7.55 % (3328685)Termination phase: Saturation
% 51.28/7.55 % (3328685)Time elapsed: 0.363 s
% 51.28/7.55 % (3328685)Peak memory usage: 19 MB
% 51.28/7.55 % (3328685)Instructions burned: 693 (million)
% 51.28/7.55 % (3328700)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1311251335:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 51.28/7.55 % Exception at run slice level
% 51.28/7.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 51.28/7.55 % (3328702)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3727406214:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 51.28/7.55 % (3328688)Instruction limit reached!
% 51.28/7.55 % (3328688)------------------------------
% 51.28/7.55 % (3328688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.28/7.55 % (3328688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.28/7.55 % (3328688)CaDiCaL version: 2.1.3
% 51.28/7.55 % (3328688)Termination reason: Instruction limit
% 51.28/7.55 % (3328688)Termination phase: Saturation
% 51.28/7.55 % (3328688)Time elapsed: 0.423 s
% 51.28/7.55 % (3328688)Peak memory usage: 19 MB
% 51.28/7.55 % (3328688)Instructions burned: 879 (million)
% 51.28/7.55 % Exception at run slice level
% 51.28/7.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 51.28/7.55 % (3328704)ott-2_1_sil=16000:newcnf=on:random_seed=1995019178:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 51.28/7.55 % (3328705)ott+10_1_sil=32000:tgt=ground:random_seed=199438618:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 51.28/7.55 % (3328704)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 51.28/7.55 % (3328682)Instruction limit reached!
% 51.28/7.55 % (3328682)------------------------------
% 51.28/7.55 % (3328682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.28/7.55 % (3328682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.28/7.55 % (3328682)CaDiCaL version: 2.1.3
% 51.28/7.55 % (3328682)Termination reason: Instruction limit
% 51.28/7.55 % (3328682)Termination phase: Saturation
% 51.28/7.55 % (3328682)Time elapsed: 0.737 s
% 51.28/7.55 % (3328682)Peak memory usage: 20 MB
% 51.28/7.55 % (3328682)Instructions burned: 1179 (million)
% 51.28/7.55 % (3328708)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=830900330:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 51.28/7.55 % Exception at run slice level
% 51.28/7.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 118.90/17.06 % (3328710)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=790801831:i=3512:aac=none_2989 on theBenchmark for (2989ds/3512Mi)
% 118.90/17.06 % (3328710)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 118.90/17.06 % (3328704)Instruction limit reached!
% 118.90/17.06 % (3328704)------------------------------
% 118.90/17.06 % (3328704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.90/17.06 % (3328704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.90/17.06 % (3328704)CaDiCaL version: 2.1.3
% 118.90/17.06 % (3328704)Termination reason: Instruction limit
% 118.90/17.06 % (3328704)Termination phase: Saturation
% 118.90/17.06 % (3328704)Time elapsed: 0.402 s
% 118.90/17.06 % (3328704)Peak memory usage: 17 MB
% 118.90/17.06 % (3328704)Instructions burned: 870 (million)
% 118.90/17.06 % (3328712)dis+21_1_sil=32000:sas=cadical:random_seed=3491636636:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 118.90/17.06 % (3328697)Instruction limit reached!
% 118.90/17.06 % (3328697)------------------------------
% 118.90/17.06 % (3328697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.90/17.06 % (3328697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.90/17.06 % (3328697)CaDiCaL version: 2.1.3
% 118.90/17.06 % (3328697)Termination reason: Instruction limit
% 118.90/17.06 % (3328697)Termination phase: Saturation
% 118.90/17.06 % (3328697)Time elapsed: 0.679 s
% 118.90/17.06 % (3328697)Peak memory usage: 18 MB
% 118.90/17.06 % (3328697)Instructions burned: 1473 (million)
% 118.90/17.06 % (3328714)ott+11_1_sil=16000:gs=on:random_seed=2788161798:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 118.90/17.06 % (3328714)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 118.90/17.06 % (3328714)Instruction limit reached!
% 118.90/17.06 % (3328714)------------------------------
% 118.90/17.06 % (3328714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.90/17.06 % (3328714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.90/17.06 % (3328714)CaDiCaL version: 2.1.3
% 118.90/17.06 % (3328714)Termination reason: Instruction limit
% 118.90/17.06 % (3328714)Termination phase: Saturation
% 118.90/17.06 % (3328714)Time elapsed: 1.071 s
% 118.90/17.06 % (3328714)Peak memory usage: 21 MB
% 118.90/17.06 % (3328714)Instructions burned: 2252 (million)
% 118.90/17.06 % (3328716)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1295861222:fmbsr=1.6:i=67534_2976 on theBenchmark for (2976ds/67534Mi)
% 118.90/17.06 % Exception at run slice level
% 118.90/17.06 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 118.90/17.06 % (3328718)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1779260020:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2975 on theBenchmark for (2975ds/4591Mi)
% 118.90/17.06 % (3328710)Instruction limit reached!
% 118.90/17.06 % (3328710)------------------------------
% 118.90/17.06 % (3328710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.90/17.06 % (3328710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.90/17.06 % (3328710)CaDiCaL version: 2.1.3
% 118.90/17.06 % (3328710)Termination reason: Instruction limit
% 118.90/17.06 % (3328710)Termination phase: Saturation
% 118.90/17.06 % (3328710)Time elapsed: 1.845 s
% 118.90/17.06 % (3328710)Peak memory usage: 29 MB
% 118.90/17.06 % (3328710)Instructions burned: 3514 (million)
% 118.90/17.06 % (3328712)Instruction limit reached!
% 118.90/17.06 % (3328712)------------------------------
% 118.90/17.06 % (3328712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.90/17.06 % (3328712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.90/17.06 % (3328712)CaDiCaL version: 2.1.3
% 118.90/17.06 % (3328712)Termination reason: Instruction limit
% 118.90/17.06 % (3328712)Termination phase: Saturation
% 118.90/17.06 % (3328712)Time elapsed: 1.729 s
% 118.90/17.06 % (3328712)Peak memory usage: 26 MB
% 118.90/17.06 % (3328712)Instructions burned: 3773 (million)
% 118.90/17.06 % (3328720)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1072124423:i=29340_2970 on theBenchmark for (2970ds/29340Mi)
% 118.90/17.06 % (3328721)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=965963752:i=5211_2970 on theBenchmark for (2970ds/5211Mi)
% 129.84/18.66 % (3328696)Instruction limit reached!
% 129.84/18.66 % (3328696)------------------------------
% 129.84/18.66 % (3328696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328696)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328696)Termination reason: Instruction limit
% 129.84/18.66 % (3328696)Termination phase: Saturation
% 129.84/18.66 % (3328696)Time elapsed: 2.405 s
% 129.84/18.66 % (3328696)Peak memory usage: 35 MB
% 129.84/18.66 % (3328696)Instructions burned: 5132 (million)
% 129.84/18.66 % (3328724)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=525532456:i=5497:nm=2_2970 on theBenchmark for (2970ds/5497Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328726)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3124905236:fmbsr=2:i=46332_2969 on theBenchmark for (2969ds/46332Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328728)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2383602795:i=14071_2969 on theBenchmark for (2969ds/14071Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328730)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3152812333:i=22565:add=on:rawr=on_2968 on theBenchmark for (2968ds/22565Mi)
% 129.84/18.66 % (3328705)Instruction limit reached!
% 129.84/18.66 % (3328705)------------------------------
% 129.84/18.66 % (3328705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328705)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328705)Termination reason: Instruction limit
% 129.84/18.66 % (3328705)Termination phase: Saturation
% 129.84/18.66 % (3328705)Time elapsed: 2.430 s
% 129.84/18.66 % (3328705)Peak memory usage: 38 MB
% 129.84/18.66 % (3328705)Instructions burned: 5116 (million)
% 129.84/18.66 % (3328732)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=11804659:i=8173:av=off_2967 on theBenchmark for (2967ds/8173Mi)
% 129.84/18.66 % (3328718)Instruction limit reached!
% 129.84/18.66 % (3328718)------------------------------
% 129.84/18.66 % (3328718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328718)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328718)Termination reason: Instruction limit
% 129.84/18.66 % (3328718)Termination phase: Saturation
% 129.84/18.66 % (3328718)Time elapsed: 2.127 s
% 129.84/18.66 % (3328718)Peak memory usage: 38 MB
% 129.84/18.66 % (3328718)Instructions burned: 4592 (million)
% 129.84/18.66 % (3328736)dis+10_16:1_sil=16000:random_seed=1492735101:i=9155:fsr=off_2954 on theBenchmark for (2954ds/9155Mi)
% 129.84/18.66 % (3328721)Instruction limit reached!
% 129.84/18.66 % (3328721)------------------------------
% 129.84/18.66 % (3328721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328721)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328721)Termination reason: Instruction limit
% 129.84/18.66 % (3328721)Termination phase: Saturation
% 129.84/18.66 % (3328721)Time elapsed: 2.525 s
% 129.84/18.66 % (3328721)Peak memory usage: 49 MB
% 129.84/18.66 % (3328721)Instructions burned: 5213 (million)
% 129.84/18.66 % (3328752)ott-3_8_sil=64000:random_seed=1944017443:i=20139:bs=on_2945 on theBenchmark for (2945ds/20139Mi)
% 129.84/18.66 % (3328732)Instruction limit reached!
% 129.84/18.66 % (3328732)------------------------------
% 129.84/18.66 % (3328732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328732)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328732)Termination reason: Instruction limit
% 129.84/18.66 % (3328732)Termination phase: Saturation
% 129.84/18.66 % (3328732)Time elapsed: 4.071 s
% 129.84/18.66 % (3328732)Peak memory usage: 66 MB
% 129.84/18.66 % (3328732)Instructions burned: 8174 (million)
% 129.84/18.66 % (3328754)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3877191331:fmbsr=2:i=32576_2926 on theBenchmark for (2926ds/32576Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328756)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3228030632:i=11404_2926 on theBenchmark for (2926ds/11404Mi)
% 129.84/18.66 % (3328736)Instruction limit reached!
% 129.84/18.66 % (3328736)------------------------------
% 129.84/18.66 % (3328736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328736)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328736)Termination reason: Instruction limit
% 129.84/18.66 % (3328736)Termination phase: Saturation
% 129.84/18.66 % (3328736)Time elapsed: 4.068 s
% 129.84/18.66 % (3328736)Peak memory usage: 46 MB
% 129.84/18.66 % (3328736)Instructions burned: 9157 (million)
% 129.84/18.66 % (3328758)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2515551163:i=14134_2913 on theBenchmark for (2913ds/14134Mi)
% 129.84/18.66 % (3328758)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 129.84/18.66 % (3328756)Instruction limit reached!
% 129.84/18.66 % (3328756)------------------------------
% 129.84/18.66 % (3328756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328756)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328756)Termination reason: Instruction limit
% 129.84/18.66 % (3328756)Termination phase: Saturation
% 129.84/18.66 % (3328756)Time elapsed: 5.410 s
% 129.84/18.66 % (3328756)Peak memory usage: 70 MB
% 129.84/18.66 % (3328756)Instructions burned: 11404 (million)
% 129.84/18.66 % (3328776)dis+33_16_sil=32000:sac=on:random_seed=1104274280:i=15851:nm=0_2871 on theBenchmark for (2871ds/15851Mi)
% 129.84/18.66 % (3328730)Instruction limit reached!
% 129.84/18.66 % (3328730)------------------------------
% 129.84/18.66 % (3328730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328730)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328730)Termination reason: Instruction limit
% 129.84/18.66 % (3328730)Termination phase: Saturation
% 129.84/18.66 % (3328730)Time elapsed: 10.923 s
% 129.84/18.66 % (3328730)Peak memory usage: 62 MB
% 129.84/18.66 % (3328730)Instructions burned: 22566 (million)
% 129.84/18.66 % (3328790)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1954412892:avsq=on:i=17627:add=on:amm=off_2859 on theBenchmark for (2859ds/17627Mi)
% 129.84/18.66 % (3328758)Instruction limit reached!
% 129.84/18.66 % (3328758)------------------------------
% 129.84/18.66 % (3328758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328758)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328758)Termination reason: Instruction limit
% 129.84/18.66 % (3328758)Termination phase: Saturation
% 129.84/18.66 % (3328758)Time elapsed: 6.935 s
% 129.84/18.66 % (3328758)Peak memory usage: 73 MB
% 129.84/18.66 % (3328758)Instructions burned: 14134 (million)
% 129.84/18.66 % (3328792)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1254528018:s2a=on:i=53295_2843 on theBenchmark for (2843ds/53295Mi)
% 129.84/18.66 % (3328752)Instruction limit reached!
% 129.84/18.66 % (3328752)------------------------------
% 129.84/18.66 % (3328752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328752)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328752)Termination reason: Instruction limit
% 129.84/18.66 % (3328752)Termination phase: Saturation
% 129.84/18.66 % (3328752)Time elapsed: 10.506 s
% 129.84/18.66 % (3328752)Peak memory usage: 142 MB
% 129.84/18.66 % (3328752)Instructions burned: 20140 (million)
% 129.84/18.66 % (3328794)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=4100550765:i=26857:ins=20_2839 on theBenchmark for (2839ds/26857Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328796)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=4013755105:i=28120:bs=on:fsr=off_2839 on theBenchmark for (2839ds/28120Mi)
% 129.84/18.66 % (3328720)Instruction limit reached!
% 129.84/18.66 % (3328720)------------------------------
% 129.84/18.66 % (3328720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328720)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328720)Termination reason: Instruction limit
% 129.84/18.66 % (3328720)Termination phase: Saturation
% 129.84/18.66 % (3328720)Time elapsed: 13.919 s
% 129.84/18.66 % (3328720)Peak memory usage: 351 MB
% 129.84/18.66 % (3328720)Instructions burned: 29342 (million)
% 129.84/18.66 % (3328798)fmb+10_1_sil=256000:fmbss=7:random_seed=2570129813:fmbsr=1.6:i=182295_2831 on theBenchmark for (2831ds/182295Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328800)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=2869036437:i=44625:gsp=on_2830 on theBenchmark for (2830ds/44625Mi)
% 129.84/18.66 % (3328800)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 129.84/18.66 % (3328800)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328802)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=3013685264:i=160505_2829 on theBenchmark for (2829ds/160505Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328804)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=3108132740:fmbsr=1.3:i=225729_2829 on theBenchmark for (2829ds/225729Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328806)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=1126148893:fmbsr=2:i=185024:ins=7_2828 on theBenchmark for (2828ds/185024Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328808)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=1965835459:rtra=on_2828 on theBenchmark for (2828ds/0Mi)
% 129.84/18.66 % Exception at run slice level
% 129.84/18.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.84/18.66 % (3328810)% WARNING: option uhcvi not known.
% 129.84/18.66 % (3328810)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1661400974:i=271062:add=off:rtra=on:rawr=on_2827 on theBenchmark for (2827ds/271062Mi)
% 129.84/18.66 % (3328810)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 129.84/18.66 % (3328810)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 129.84/18.66 % (3328657) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3328641-3328657"...
% 129.84/18.66 % (3328657)...printing done.
% 129.84/18.66 % (3328657)Refutation found. Thanks to Tanya!
% 129.84/18.66 % SZS status Theorem for theBenchmark
% 129.84/18.66 % SZS output start Proof for theBenchmark
% 129.84/18.66 thf(type_def_5, type, i: $tType).
% 129.84/18.66 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 129.84/18.66 thf(type_def_7, type, formula: $tType > $tType).
% 129.84/18.66 thf(type_def_8, type, prefix: $tType > $tType).
% 129.84/18.66 thf(type_def_9, type, trace: $tType > $tType).
% 129.84/18.66 thf(type_def_10, type, char: $tType).
% 129.84/18.66 thf(type_def_11, type, list: $tType > $tType).
% 129.84/18.66 thf(type_def_12, type, nat: $tType).
% 129.84/18.66 thf(type_def_13, type, a: $tType).
% 129.84/18.66 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 129.84/18.66 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_5, type, no_bot: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_6, type, no_top: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_9, type, wellorder: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_11, type, dense_order: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_12, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_13, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_14, type, dense_linorder: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_15, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_16, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_17, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_18, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_19, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_20, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_21, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_22, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_23, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 129.84/18.66 thf(func_def_24, type, abstra417776764axioms: !>[X0: $tType, X1: $tType]:(((trace @ X0 > list @ X1 > nat > $o) > (prefix @ X0 > nat) > $o))).
% 129.84/18.66 thf(func_def_25, type, one_one: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_26, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_27, type, lattices_ord_arg_max: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_28, type, until: !>[X0: $tType]:((formula @ X0 > i > formula @ X0 > formula @ X0))).
% 129.84/18.66 thf(func_def_29, type, sat: !>[X0: $tType]:((trace @ product_prod @ list @ char @ list @ X0 > list @ X0 > nat > formula @ X0 > $o))).
% 129.84/18.66 thf(func_def_30, type, monito2027355080ogress: !>[X0: $tType]:((trace @ product_prod @ list @ char @ list @ X0 > formula @ X0 > nat > nat))).
% 129.84/18.66 thf(func_def_31, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 129.84/18.66 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 129.84/18.66 thf(func_def_33, type, tau: !>[X0: $tType]:((trace @ X0 > nat > nat))).
% 129.84/18.66 thf(func_def_34, type, plen: !>[X0: $tType]:((prefix @ X0 > nat))).
% 129.84/18.66 thf(func_def_35, type, prefix_of: !>[X0: $tType]:((prefix @ X0 > trace @ X0 > $o))).
% 129.84/18.66 thf(func_def_36, type, i2: i).
% 129.84/18.66 thf(func_def_37, type, phi: formula @ a).
% 129.84/18.66 thf(func_def_38, type, phi_1: formula @ a).
% 129.84/18.66 thf(func_def_39, type, phi_2: formula @ a).
% 129.84/18.66 thf(func_def_40, type, pi: prefix @ product_prod @ list @ char @ list @ a).
% 129.84/18.66 thf(func_def_41, type, sigma: trace @ product_prod @ list @ char @ list @ a).
% 129.84/18.66 thf(func_def_42, type, sigma2: trace @ product_prod @ list @ char @ list @ a).
% 129.84/18.66 thf(func_def_43, type, b: nat).
% 129.84/18.66 thf(func_def_44, type, i3: nat).
% 129.84/18.66 thf(func_def_45, type, ia: nat).
% 129.84/18.66 thf(func_def_46, type, j: nat).
% 129.84/18.66 thf(func_def_47, type, ja: nat).
% 129.84/18.66 thf(func_def_48, type, k: nat).
% 129.84/18.66 thf(func_def_52, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 129.84/18.66 thf(func_def_53, type, vNOT: ($o > $o)).
% 129.84/18.66 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 129.84/18.66 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 129.84/18.66 thf(func_def_58, type, vAND: ($o > $o > $o)).
% 129.84/18.66 thf(func_def_59, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 129.84/18.66 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_61, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 129.84/18.66 thf(func_def_62, type, vIMP: ($o > $o > $o)).
% 129.84/18.66 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_65, type, db6: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_66, type, db4: !>[X0: $tType]:(X0)).
% 129.84/18.66 thf(func_def_67, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 129.84/18.66 thf(func_def_68, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 129.84/18.66 thf(func_def_69, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 129.84/18.66 thf(func_def_70, type, sK3: ((nat > $o) > nat)).
% 129.84/18.66 thf(func_def_71, type, sK4: ((nat > $o) > nat)).
% 129.84/18.66 thf(func_def_72, type, sK5: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_73, type, sK6: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 129.84/18.66 thf(func_def_74, type, sK7: ((nat > $o) > nat)).
% 129.84/18.66 thf(func_def_75, type, sK8: (nat > (nat > $o) > nat)).
% 129.84/18.66 thf(func_def_76, type, sK9: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_77, type, sK10: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_78, type, sK11: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_79, type, sK12: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_80, type, sK13: ((nat > nat) > nat)).
% 129.84/18.66 thf(func_def_81, type, sK14: ((nat > nat) > nat)).
% 129.84/18.66 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_83, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_84, type, sK17: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_85, type, sK18: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_86, type, sK19: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_87, type, sK20: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_88, type, sK21: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_89, type, sK22: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_90, type, sK23: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_91, type, sK24: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_92, type, sK25: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_93, type, sK26: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_94, type, sK27: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 129.84/18.66 thf(func_def_95, type, sK28: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_96, type, sK29: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_97, type, sK30: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_98, type, sK31: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_99, type, sK32: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_100, type, sK33: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_101, type, sK34: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_102, type, sK35: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_103, type, sK36: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_104, type, sK37: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_105, type, sK38: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_106, type, sK39: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_107, type, sK40: ((nat > $o) > nat > nat)).
% 129.84/18.66 thf(func_def_108, type, sK41: ((nat > $o) > nat > nat)).
% 129.84/18.66 thf(func_def_109, type, sK42: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_110, type, sK43: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 129.84/18.66 thf(func_def_111, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_112, type, sK45: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_113, type, sK46: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_114, type, sK47: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_115, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_116, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_117, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_118, type, sK51: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_119, type, sK52: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_120, type, sK53: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_121, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_124, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_125, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_126, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_127, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_128, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_129, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_130, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_131, type, sK64: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_132, type, sK65: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_133, type, sK66: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_134, type, sK67: !>[X0: $tType]:((X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_135, type, sK68: !>[X0: $tType]:(((X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_136, type, sK69: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_137, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_138, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_139, type, sK72: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_140, type, sK73: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_141, type, sK74: !>[X0: $tType]:((X0 > X0))).
% 129.84/18.66 thf(func_def_142, type, sK75: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_143, type, sK76: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_144, type, sK77: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_145, type, sK78: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_146, type, sK79: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_147, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_148, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 129.84/18.66 thf(func_def_149, type, sK82: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_150, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 129.84/18.66 thf(func_def_151, type, sK84: !>[X0: $tType]:((X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_152, type, sK85: !>[X0: $tType]:((X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_153, type, sK86: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_154, type, sK87: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_155, type, sK88: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_156, type, sK89: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_157, type, sK90: !>[X0: $tType, X1: $tType]:(((trace @ X1 > list @ X0 > nat > $o) > (prefix @ X1 > nat) > prefix @ X1))).
% 129.84/18.66 thf(func_def_158, type, sK91: !>[X0: $tType, X1: $tType]:(((trace @ X1 > list @ X0 > nat > $o) > (prefix @ X1 > nat) > trace @ X1))).
% 129.84/18.66 thf(func_def_159, type, sK92: !>[X0: $tType, X1: $tType]:(((trace @ X1 > list @ X0 > nat > $o) > (prefix @ X1 > nat) > trace @ X1))).
% 129.84/18.66 thf(func_def_160, type, sK93: !>[X0: $tType, X1: $tType]:(((trace @ X1 > list @ X0 > nat > $o) > (prefix @ X1 > nat) > nat))).
% 129.84/18.66 thf(func_def_161, type, sK94: !>[X0: $tType, X1: $tType]:(((trace @ X1 > list @ X0 > nat > $o) > (prefix @ X1 > nat) > list @ X0))).
% 129.84/18.66 thf(func_def_162, type, sK95: !>[X0: $tType]:(((prefix @ X0 > nat) > trace @ X0))).
% 129.84/18.66 thf(func_def_163, type, sK96: !>[X0: $tType]:(((prefix @ X0 > nat) > nat))).
% 129.84/18.66 thf(func_def_164, type, sK97: !>[X0: $tType]:(((prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_165, type, sK98: !>[X0: $tType]:(((prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_166, type, sK99: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_167, type, sK100: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > $o) > X1))).
% 129.84/18.66 thf(func_def_168, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 129.84/18.66 thf(func_def_169, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > $o) > X1))).
% 129.84/18.66 thf(func_def_170, type, sK103: !>[X0: $tType]:((prefix @ X0 > trace @ X0))).
% 129.84/18.66 thf(func_def_171, type, sK104: !>[X0: $tType]:((trace @ X0 > nat > nat > nat))).
% 129.84/18.66 thf(func_def_172, type, sK105: (nat > nat > nat)).
% 129.84/18.66 thf(func_def_173, type, sK106: !>[X0: $tType]:((nat > (X0 > nat) > X0 > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_174, type, sK107: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 129.84/18.66 thf(func_def_175, type, sK108: ((nat > nat) > nat)).
% 129.84/18.66 thf(func_def_176, type, sK109: ((nat > nat) > nat)).
% 129.84/18.66 thf(func_def_177, type, sK110: !>[X0: $tType]:((trace @ product_prod @ list @ char @ list @ X0 > trace @ product_prod @ list @ char @ list @ X0 > nat > nat))).
% 129.84/18.66 thf(func_def_178, type, sK111: nat).
% 129.84/18.66 thf(func_def_179, type, sK112: nat).
% 129.84/18.66 thf(func_def_180, type, sK113: !>[X0: $tType]:((X0 > X0 > X0))).
% 129.84/18.66 thf(func_def_181, type, sK114: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_182, type, sK115: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_183, type, sK116: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_184, type, sK117: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_185, type, sK118: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_186, type, sK119: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_187, type, sK120: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_188, type, sK121: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_189, type, sK122: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_190, type, sK123: !>[X0: $tType]:((nat > trace @ X0 > (prefix @ X0 > nat) > prefix @ X0))).
% 129.84/18.66 thf(func_def_192, type, sK125: (nat > nat > nat)).
% 129.84/18.66 thf(f1,axiom,(
% 129.84/18.66 (ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))),
% 129.84/18.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__pzlrlsievl_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062)).
% 129.84/18.66 thf(f23,axiom,(
% 129.84/18.66 ! [X0 : $tType,X1 : trace @ product_prod @ list @ char @ list @ X0,X2 : formula @ X0,X3 : nat] : (ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3) @ X3)),
% 129.84/18.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_progress__le)).
% 129.84/18.66 thf(f142,axiom,(
% 129.84/18.66 ! [X0 : $tType] : (preorder @ X0 => ! [X1 : X0,X2 : X0,X3 : X0] : ((ord_less @ X0 @ X1 @ X2) => ((ord_less_eq @ X0 @ X2 @ X3) => (ord_less @ X0 @ X1 @ X3))))),
% 129.84/18.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_less__le__trans)).
% 129.84/18.66 thf(f271,axiom,(
% 129.84/18.66 preorder @ nat),
% 129.84/18.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Opreorder_1)).
% 129.84/18.66 thf(f293,conjecture,(
% 129.84/18.66 (ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))),
% 129.84/18.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 129.84/18.66 thf(f294,negated_conjecture,(
% 129.84/18.66 ~(ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))),
% 129.84/18.66 inference(negated_conjecture,[status(cth)],[f293])).
% 129.84/18.66 thf(f295,plain,(
% 129.84/18.66 (ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))),
% 129.84/18.66 inference(rectify,[],[f1])).
% 129.84/18.66 thf(f296,plain,(
% 129.84/18.66 (((ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) = $true)),
% 129.84/18.66 inference(fool_elimination,[],[f295])).
% 129.84/18.66 thf(f339,plain,(
% 129.84/18.66 ! [X0 : $tType,X1 : trace @ product_prod @ list @ char @ list @ X0,X2 : formula @ X0,X3 : nat] : (ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3) @ X3)),
% 129.84/18.66 inference(rectify,[],[f23])).
% 129.84/18.66 thf(f340,plain,(
% 129.84/18.66 ! [X0 : $tType,X1 : trace @ product_prod @ list @ char @ list @ X0,X2 : formula @ X0,X3 : nat] : (((ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3) @ X3)) = $true)),
% 129.84/18.66 inference(fool_elimination,[],[f339])).
% 129.84/18.66 thf(f577,plain,(
% 129.84/18.66 ! [X0 : $tType] : (preorder @ X0 => ! [X1 : X0,X2 : X0,X3 : X0] : ((ord_less @ X0 @ X1 @ X2) => ((ord_less_eq @ X0 @ X2 @ X3) => (ord_less @ X0 @ X1 @ X3))))),
% 129.84/18.66 inference(rectify,[],[f142])).
% 129.84/18.66 thf(f578,plain,(
% 129.84/18.66 ! [X0 : $tType] : ((preorder @ X0 = $true) => ! [X1 : X0,X2 : X0,X3 : X0] : ((((ord_less @ X0 @ X1 @ X2)) = $true) => ((((ord_less_eq @ X0 @ X2 @ X3)) = $true) => (((ord_less @ X0 @ X1 @ X3)) = $true))))),
% 129.84/18.66 inference(fool_elimination,[],[f577])).
% 129.84/18.66 thf(f829,plain,(
% 129.84/18.66 preorder @ nat),
% 129.84/18.66 inference(rectify,[],[f271])).
% 129.84/18.66 thf(f830,plain,(
% 129.84/18.66 (preorder @ nat = $true)),
% 129.84/18.66 inference(fool_elimination,[],[f829])).
% 129.84/18.66 thf(f873,plain,(
% 129.84/18.66 ~(ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))),
% 129.84/18.66 inference(rectify,[],[f294])).
% 129.84/18.66 thf(f874,plain,(
% 129.84/18.66 ~ (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $true)),
% 129.84/18.66 inference(fool_elimination,[],[f873])).
% 129.84/18.66 thf(f911,plain,(
% 129.84/18.66 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) != $true)),
% 129.84/18.66 inference(flattening,[],[f874])).
% 129.84/18.66 thf(f1085,plain,(
% 129.84/18.66 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less_eq @ X0 @ X2 @ X3)) != $true)) | (((ord_less @ X0 @ X1 @ X2)) != $true)) | (preorder @ X0 != $true))),
% 129.84/18.66 inference(ennf_transformation,[],[f578])).
% 129.84/18.66 thf(f1086,plain,(
% 129.84/18.66 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less_eq @ X0 @ X2 @ X3)) != $true) | (((ord_less @ X0 @ X1 @ X2)) != $true)) | (preorder @ X0 != $true))),
% 129.84/18.66 inference(flattening,[],[f1085])).
% 129.84/18.66 thf(f1323,plain,(
% 129.84/18.66 (((ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) = $true)),
% 129.84/18.66 inference(cnf_transformation,[],[f296])).
% 129.84/18.66 thf(f1351,plain,(
% 129.84/18.66 ( ! [X0 : $tType,X2 : formula @ X0,X3 : nat,X1 : trace @ product_prod @ list @ char @ list @ X0] : ((((ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3) @ X3)) = $true)) )),
% 129.84/18.66 inference(cnf_transformation,[],[f340])).
% 129.84/18.66 thf(f1533,plain,(
% 129.84/18.66 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((((ord_less_eq @ X0 @ X2 @ X3)) != $true) | (((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less @ X0 @ X1 @ X2)) != $true) | (preorder @ X0 != $true)) )),
% 129.84/18.66 inference(cnf_transformation,[],[f1086])).
% 129.84/18.66 thf(f1697,plain,(
% 129.84/18.66 (preorder @ nat = $true)),
% 129.84/18.66 inference(cnf_transformation,[],[f830])).
% 129.84/18.66 thf(f1719,plain,(
% 129.84/18.66 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) != $true)),
% 129.84/18.66 inference(cnf_transformation,[],[f911])).
% 129.84/18.66 thf(f1721,definition,(
% 129.84/18.66 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 129.84/18.66 introduced(theory,[fool_exhaustiveness_axiom])).
% 129.84/18.66 thf(f2589,plain,(
% 129.84/18.66 ($true != $true) | (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $false)),
% 129.84/18.66 inference(constrained_superposition,[],[f1719,f1721])).
% 129.84/18.66 thf(f2591,plain,(
% 129.84/18.66 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $false)),
% 129.84/18.66 inference(trivial_inequality_removal,[],[f2589])).
% 129.84/18.66 thf(f7186,plain,(
% 129.84/18.66 ( ! [X0 : $tType,X2 : formula @ X0,X3 : nat,X1 : trace @ product_prod @ list @ char @ list @ X0,X4 : nat] : (($true != $true) | ($true = ((ord_less @ nat @ X4 @ X3))) | ($true != ((ord_less @ nat @ X4 @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3)))) | (preorder @ nat != $true)) )),
% 129.84/18.66 inference(constrained_superposition,[],[f1533,f1351])).
% 129.84/18.66 thf(f7187,plain,(
% 129.84/18.66 ( ! [X0 : $tType,X2 : formula @ X0,X3 : nat,X1 : trace @ product_prod @ list @ char @ list @ X0,X4 : nat] : (($true = ((ord_less @ nat @ X4 @ X3))) | ($true != ((ord_less @ nat @ X4 @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3)))) | (preorder @ nat != $true)) )),
% 129.84/18.66 inference(trivial_inequality_removal,[],[f7186])).
% 129.84/18.66 thf(f7194,plain,(
% 129.84/18.66 ( ! [X0 : $tType,X2 : formula @ X0,X3 : nat,X1 : trace @ product_prod @ list @ char @ list @ X0,X4 : nat] : (($true != ((ord_less @ nat @ X4 @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3)))) | ($true = ((ord_less @ nat @ X4 @ X3)))) )),
% 129.84/18.66 inference(forward_subsumption_resolution,[],[f7187,f1697])).
% 129.84/18.66 thf(f454842,plain,(
% 129.84/18.66 ($true != $true) | (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $true)),
% 129.84/18.66 inference(constrained_superposition,[],[f7194,f1323])).
% 129.84/18.66 thf(f454923,plain,(
% 129.84/18.66 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $true)),
% 129.84/18.66 inference(trivial_inequality_removal,[],[f454842])).
% 129.84/18.66 thf(f454938,plain,(
% 129.84/18.66 ($true = $false)),
% 129.84/18.66 inference(forward_demodulation,[],[f454923,f2591])).
% 129.84/18.66 thf(f454939,plain,(
% 129.84/18.66 $false),
% 129.84/18.66 inference(trivial_inequality_removal,[],[f454938])).
% 129.84/18.66 % SZS output end Proof for theBenchmark
% 129.84/18.66 % (3328657)------------------------------
% 129.84/18.66 % (3328657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.84/18.66 % (3328657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.84/18.66 % (3328657)CaDiCaL version: 2.1.3
% 129.84/18.66 % (3328657)Termination reason: Refutation
% 129.84/18.66 % (3328657)Time elapsed: 18.344 s
% 129.84/18.66 % (3328657)Peak memory usage: 177 MB
% 129.84/18.66 % (3328657)Instructions burned: 74688 (million)
% 129.84/18.66 % (3328641)Success in time 18.438 s
% 129.84/18.66 % Vampire exiting
%------------------------------------------------------------------------------