%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT120^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 07:48:55 AM UTC 2026
% Result : Theorem 56.67s 17.14s
% Output : Refutation 56.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : DAT120^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 % Computer : n009.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 17:58:30 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31 Running first-order model finding
% 0.25/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.50/1.63 % (149844)Will run a generic schedule for satisfiability detection.
% 7.50/1.63 % (149851)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4018172930:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.50/1.63 % (149850)% WARNING: option uhcvi not known.
% 7.50/1.63 % (149849)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4065048515_2999 on theBenchmark for (2999ds/0Mi)
% 7.50/1.63 % (149850)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1516416106:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.50/1.63 % (149852)dis+10_1_sil=32000:sp=arity:random_seed=1593941387:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.50/1.63 % (149853)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1232145132:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.50/1.63 % (149854)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2380601311:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.50/1.63 % (149855)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=965785230:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.50/1.63 % (149850)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.50/1.63 % (149853)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.50/1.63 % Exception at run slice level
% 7.50/1.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.50/1.63 % (149850)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.50/1.63 % (149852)Instruction limit reached!
% 7.50/1.63 % (149852)------------------------------
% 7.50/1.63 % (149852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.63 % (149852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.63 % (149852)CaDiCaL version: 2.1.3
% 7.50/1.63 % (149852)Termination reason: Instruction limit
% 7.50/1.63 % (149852)Termination phase: Saturation
% 7.50/1.63 % (149852)Time elapsed: 0.084 s
% 7.50/1.63 % (149852)Peak memory usage: 12 MB
% 7.50/1.63 % (149852)Instructions burned: 103 (million)
% 7.50/1.63 % (149853)Instruction limit reached!
% 7.50/1.63 % (149853)------------------------------
% 7.50/1.63 % (149853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.63 % (149853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.63 % (149853)CaDiCaL version: 2.1.3
% 7.50/1.63 % (149853)Termination reason: Instruction limit
% 7.50/1.63 % (149853)Termination phase: Saturation
% 7.50/1.63 % (149853)Time elapsed: 0.095 s
% 7.50/1.63 % (149853)Peak memory usage: 13 MB
% 7.50/1.63 % (149853)Instructions burned: 116 (million)
% 7.50/1.63 % (149863)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3904241332:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.50/1.63 % (149854)Instruction limit reached!
% 7.50/1.63 % (149854)------------------------------
% 7.50/1.63 % (149854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.63 % (149854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.63 % (149854)CaDiCaL version: 2.1.3
% 7.50/1.63 % (149854)Termination reason: Instruction limit
% 7.50/1.63 % (149854)Termination phase: Saturation
% 7.50/1.63 % (149854)Time elapsed: 0.109 s
% 7.50/1.63 % (149854)Peak memory usage: 13 MB
% 7.50/1.63 % (149854)Instructions burned: 132 (million)
% 7.50/1.63 % (149864)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1363453404:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.50/1.63 % (149865)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=491417469:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.50/1.63 % (149867)ott-21_1_sil=16000:fs=off:random_seed=4055280792:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.50/1.63 % (149855)Instruction limit reached!
% 7.50/1.63 % (149855)------------------------------
% 7.50/1.63 % (149855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.63 % (149855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.63 % (149855)CaDiCaL version: 2.1.3
% 7.50/1.63 % (149855)Termination reason: Instruction limit
% 7.50/1.63 % (149855)Termination phase: Saturation
% 7.50/1.63 % (149855)Time elapsed: 0.137 s
% 30.56/4.84 % (149855)Peak memory usage: 14 MB
% 30.56/4.84 % (149855)Instructions burned: 160 (million)
% 30.56/4.84 % (149865)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.56/4.84 % Exception at run slice level
% 30.56/4.84 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.56/4.84 % (149871)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3964395958:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 30.56/4.84 % (149865)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.56/4.84 % (149872)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=774961215:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 30.56/4.84 % (149864)Instruction limit reached!
% 30.56/4.84 % (149864)------------------------------
% 30.56/4.84 % (149864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.56/4.84 % (149864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.56/4.84 % (149864)CaDiCaL version: 2.1.3
% 30.56/4.84 % (149864)Termination reason: Instruction limit
% 30.56/4.84 % (149864)Termination phase: Saturation
% 30.56/4.84 % (149864)Time elapsed: 0.112 s
% 30.56/4.84 % (149864)Peak memory usage: 13 MB
% 30.56/4.84 % (149864)Instructions burned: 131 (million)
% 30.56/4.84 % (149867)Instruction limit reached!
% 30.56/4.84 % (149867)------------------------------
% 30.56/4.84 % (149867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.56/4.84 % (149867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.56/4.84 % (149867)CaDiCaL version: 2.1.3
% 30.56/4.84 % (149867)Termination reason: Instruction limit
% 30.56/4.84 % (149867)Termination phase: Saturation
% 30.56/4.84 % (149867)Time elapsed: 0.134 s
% 30.56/4.84 % (149867)Peak memory usage: 13 MB
% 30.56/4.84 % (149867)Instructions burned: 181 (million)
% 30.56/4.84 % (149877)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3079557451:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 30.56/4.84 % Exception at run slice level
% 30.56/4.84 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.56/4.84 % (149879)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=573540727:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 30.56/4.84 % (149880)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=192864550:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 30.56/4.84 % (149880)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.56/4.84 % Exception at run slice level
% 30.56/4.84 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.56/4.84 % (149883)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2825727715:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 30.56/4.84 % (149883)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.56/4.84 % (149871)Instruction limit reached!
% 30.56/4.84 % (149871)------------------------------
% 30.56/4.84 % (149871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.56/4.84 % (149871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.56/4.84 % (149871)CaDiCaL version: 2.1.3
% 30.56/4.84 % (149871)Termination reason: Instruction limit
% 30.56/4.84 % (149871)Termination phase: Saturation
% 30.56/4.84 % (149871)Time elapsed: 0.371 s
% 30.56/4.84 % (149871)Peak memory usage: 14 MB
% 30.56/4.84 % (149871)Instructions burned: 478 (million)
% 30.56/4.84 % (149885)fmb+10_1_sil=64000:random_seed=3210888368:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 30.56/4.84 % (149865)Instruction limit reached!
% 30.56/4.84 % (149865)------------------------------
% 30.56/4.84 % (149865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.56/4.84 % (149865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.56/4.84 % (149865)CaDiCaL version: 2.1.3
% 30.56/4.84 % (149865)Termination reason: Instruction limit
% 30.56/4.84 % (149865)Termination phase: Saturation
% 30.56/4.84 % (149865)Time elapsed: 0.475 s
% 30.56/4.84 % (149865)Peak memory usage: 15 MB
% 30.56/4.84 % (149865)Instructions burned: 684 (million)
% 30.56/4.84 % (149885)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 85.93/12.42 % Exception at run slice level
% 85.93/12.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.93/12.42 % (149887)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1008806323:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 85.93/12.42 % (149888)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1587046343:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 85.93/12.42 % Exception at run slice level
% 85.93/12.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.93/12.42 % Exception at run slice level
% 85.93/12.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.93/12.42 % (149892)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=205819524:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 85.93/12.42 % (149891)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=133395199:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 85.93/12.42 % (149891)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 85.93/12.42 % (149892)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 85.93/12.42 % (149892)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 85.93/12.42 % (149880)Instruction limit reached!
% 85.93/12.42 % (149880)------------------------------
% 85.93/12.42 % (149880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/12.42 % (149880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/12.42 % (149880)CaDiCaL version: 2.1.3
% 85.93/12.42 % (149880)Termination reason: Instruction limit
% 85.93/12.42 % (149880)Termination phase: Saturation
% 85.93/12.42 % (149880)Time elapsed: 0.484 s
% 85.93/12.42 % (149880)Peak memory usage: 15 MB
% 85.93/12.42 % (149880)Instructions burned: 693 (million)
% 85.93/12.42 % (149895)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1014000152:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 85.93/12.42 % Exception at run slice level
% 85.93/12.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.93/12.42 % (149897)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1892761754:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 85.93/12.42 % (149877)Instruction limit reached!
% 85.93/12.42 % (149877)------------------------------
% 85.93/12.42 % (149877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/12.42 % (149877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/12.42 % (149877)CaDiCaL version: 2.1.3
% 85.93/12.42 % (149877)Termination reason: Instruction limit
% 85.93/12.42 % (149877)Termination phase: Saturation
% 85.93/12.42 % (149877)Time elapsed: 0.660 s
% 85.93/12.42 % (149877)Peak memory usage: 14 MB
% 85.93/12.42 % (149877)Instructions burned: 1179 (million)
% 85.93/12.42 % (149899)ott-2_1_sil=16000:newcnf=on:random_seed=3688275801:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 85.93/12.42 % (149899)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 85.93/12.42 % Exception at run slice level
% 85.93/12.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.93/12.42 % (149901)ott+10_1_sil=32000:tgt=ground:random_seed=4152637063:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 85.93/12.42 % (149883)Instruction limit reached!
% 85.93/12.42 % (149883)------------------------------
% 85.93/12.42 % (149883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.93/12.42 % (149883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.93/12.42 % (149883)CaDiCaL version: 2.1.3
% 85.93/12.42 % (149883)Termination reason: Instruction limit
% 85.93/12.42 % (149883)Termination phase: Saturation
% 85.93/12.42 % (149883)Time elapsed: 0.763 s
% 85.93/12.42 % (149883)Peak memory usage: 17 MB
% 85.93/12.42 % (149883)Instructions burned: 879 (million)
% 85.93/12.42 % (149903)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2235070085:i=54282_2987 on theBenchmark for (2987ds/54282Mi)
% 85.93/12.42 % Exception at run slice level
% 85.93/12.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 85.93/12.42 % (149905)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3406549958:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 56.67/17.14 % (149905)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 56.67/17.14 % (149899)Instruction limit reached!
% 56.67/17.14 % (149899)------------------------------
% 56.67/17.14 % (149899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149899)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149899)Termination reason: Instruction limit
% 56.67/17.14 % (149899)Termination phase: Saturation
% 56.67/17.14 % (149899)Time elapsed: 0.549 s
% 56.67/17.14 % (149899)Peak memory usage: 15 MB
% 56.67/17.14 % (149899)Instructions burned: 870 (million)
% 56.67/17.14 % (149907)dis+21_1_sil=32000:sas=cadical:random_seed=3489133954:i=3773:amm=off_2984 on theBenchmark for (2984ds/3773Mi)
% 56.67/17.14 % (149892)Instruction limit reached!
% 56.67/17.14 % (149892)------------------------------
% 56.67/17.14 % (149892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149892)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149892)Termination reason: Instruction limit
% 56.67/17.14 % (149892)Termination phase: Saturation
% 56.67/17.14 % (149892)Time elapsed: 1.254 s
% 56.67/17.14 % (149892)Peak memory usage: 16 MB
% 56.67/17.14 % (149892)Instructions burned: 1472 (million)
% 56.67/17.14 % (149909)ott+11_1_sil=16000:gs=on:random_seed=2760389512:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2979 on theBenchmark for (2979ds/2251Mi)
% 56.67/17.14 % (149909)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 56.67/17.14 % (149901)Instruction limit reached!
% 56.67/17.14 % (149901)------------------------------
% 56.67/17.14 % (149901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149901)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149901)Termination reason: Instruction limit
% 56.67/17.14 % (149901)Termination phase: Saturation
% 56.67/17.14 % (149901)Time elapsed: 2.783 s
% 56.67/17.14 % (149901)Peak memory usage: 15 MB
% 56.67/17.14 % (149901)Instructions burned: 5115 (million)
% 56.67/17.14 % (149911)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1551793124:fmbsr=1.6:i=67534_2961 on theBenchmark for (2961ds/67534Mi)
% 56.67/17.14 % Exception at run slice level
% 56.67/17.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 56.67/17.14 % (149913)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3602382199:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2960 on theBenchmark for (2960ds/4591Mi)
% 56.67/17.14 % (149909)Instruction limit reached!
% 56.67/17.14 % (149909)------------------------------
% 56.67/17.14 % (149909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149909)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149909)Termination reason: Instruction limit
% 56.67/17.14 % (149909)Termination phase: Saturation
% 56.67/17.14 % (149909)Time elapsed: 1.936 s
% 56.67/17.14 % (149909)Peak memory usage: 21 MB
% 56.67/17.14 % (149909)Instructions burned: 2251 (million)
% 56.67/17.14 % (149915)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2856039679:i=29340_2959 on theBenchmark for (2959ds/29340Mi)
% 56.67/17.14 % (149905)Instruction limit reached!
% 56.67/17.14 % (149905)------------------------------
% 56.67/17.14 % (149905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149905)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149905)Termination reason: Instruction limit
% 56.67/17.14 % (149905)Termination phase: Saturation
% 56.67/17.14 % (149905)Time elapsed: 2.868 s
% 56.67/17.14 % (149905)Peak memory usage: 25 MB
% 56.67/17.14 % (149905)Instructions burned: 3512 (million)
% 56.67/17.14 % (149917)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=950988946:i=5211_2958 on theBenchmark for (2958ds/5211Mi)
% 56.67/17.14 % (149907)Instruction limit reached!
% 56.67/17.14 % (149907)------------------------------
% 56.67/17.14 % (149907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149907)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149907)Termination reason: Instruction limit
% 56.67/17.14 % (149907)Termination phase: Saturation
% 56.67/17.14 % (149907)Time elapsed: 2.943 s
% 56.67/17.14 % (149907)Peak memory usage: 24 MB
% 56.67/17.14 % (149907)Instructions burned: 3773 (million)
% 56.67/17.14 % (149919)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3943600904:i=5497:nm=2_2954 on theBenchmark for (2954ds/5497Mi)
% 56.67/17.14 % Exception at run slice level
% 56.67/17.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 56.67/17.14 % (149921)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3883851756:fmbsr=2:i=46332_2953 on theBenchmark for (2953ds/46332Mi)
% 56.67/17.14 % Exception at run slice level
% 56.67/17.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 56.67/17.14 % (149923)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=938739387:i=14071_2952 on theBenchmark for (2952ds/14071Mi)
% 56.67/17.14 % Exception at run slice level
% 56.67/17.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 56.67/17.14 % (149925)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=195231487:i=22565:add=on:rawr=on_2951 on theBenchmark for (2951ds/22565Mi)
% 56.67/17.14 % (149891)Instruction limit reached!
% 56.67/17.14 % (149891)------------------------------
% 56.67/17.14 % (149891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149891)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149891)Termination reason: Instruction limit
% 56.67/17.14 % (149891)Termination phase: Saturation
% 56.67/17.14 % (149891)Time elapsed: 4.188 s
% 56.67/17.14 % (149891)Peak memory usage: 28 MB
% 56.67/17.14 % (149891)Instructions burned: 5132 (million)
% 56.67/17.14 % (149927)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=129205925:i=8173:av=off_2950 on theBenchmark for (2950ds/8173Mi)
% 56.67/17.14 % (149913)Instruction limit reached!
% 56.67/17.14 % (149913)------------------------------
% 56.67/17.14 % (149913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149913)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149913)Termination reason: Instruction limit
% 56.67/17.14 % (149913)Termination phase: Saturation
% 56.67/17.14 % (149913)Time elapsed: 2.672 s
% 56.67/17.14 % (149913)Peak memory usage: 17 MB
% 56.67/17.14 % (149913)Instructions burned: 4592 (million)
% 56.67/17.14 % (149930)dis+10_16:1_sil=16000:random_seed=1235323691:i=9155:fsr=off_2933 on theBenchmark for (2933ds/9155Mi)
% 56.67/17.14 % (149917)Instruction limit reached!
% 56.67/17.14 % (149917)------------------------------
% 56.67/17.14 % (149917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149917)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149917)Termination reason: Instruction limit
% 56.67/17.14 % (149917)Termination phase: Saturation
% 56.67/17.14 % (149917)Time elapsed: 4.423 s
% 56.67/17.14 % (149917)Peak memory usage: 42 MB
% 56.67/17.14 % (149917)Instructions burned: 5212 (million)
% 56.67/17.14 % (149935)ott-3_8_sil=64000:random_seed=2561760140:i=20139:bs=on_2913 on theBenchmark for (2913ds/20139Mi)
% 56.67/17.14 % (149927)Instruction limit reached!
% 56.67/17.14 % (149927)------------------------------
% 56.67/17.14 % (149927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149927)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149927)Termination reason: Instruction limit
% 56.67/17.14 % (149927)Termination phase: Saturation
% 56.67/17.14 % (149927)Time elapsed: 6.951 s
% 56.67/17.14 % (149927)Peak memory usage: 45 MB
% 56.67/17.14 % (149927)Instructions burned: 8173 (million)
% 56.67/17.14 % (149939)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2783775496:fmbsr=2:i=32576_2880 on theBenchmark for (2880ds/32576Mi)
% 56.67/17.14 % Exception at run slice level
% 56.67/17.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 56.67/17.14 % (149941)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1975905595:i=11404_2879 on theBenchmark for (2879ds/11404Mi)
% 56.67/17.14 % (149930)Instruction limit reached!
% 56.67/17.14 % (149930)------------------------------
% 56.67/17.14 % (149930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149930)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149930)Termination reason: Instruction limit
% 56.67/17.14 % (149930)Termination phase: Saturation
% 56.67/17.14 % (149930)Time elapsed: 6.674 s
% 56.67/17.14 % (149930)Peak memory usage: 45 MB
% 56.67/17.14 % (149930)Instructions burned: 9156 (million)
% 56.67/17.14 % (150101)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=216040084:i=14134_2866 on theBenchmark for (2866ds/14134Mi)
% 56.67/17.14 % (150101)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 56.67/17.14 % (149925)Instruction limit reached!
% 56.67/17.14 % (149925)------------------------------
% 56.67/17.14 % (149925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (149925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (149925)CaDiCaL version: 2.1.3
% 56.67/17.14 % (149925)Termination reason: Instruction limit
% 56.67/17.14 % (149925)Termination phase: Saturation
% 56.67/17.14 % (149925)Time elapsed: 9.185 s
% 56.67/17.14 % (149925)Peak memory usage: 15 MB
% 56.67/17.14 % (149925)Instructions burned: 22566 (million)
% 56.67/17.14 % (150103)dis+33_16_sil=32000:sac=on:random_seed=2058388701:i=15851:nm=0_2859 on theBenchmark for (2859ds/15851Mi)
% 56.67/17.14 % (150101) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-149844-150101"...
% 56.67/17.14 % (150101)...printing done.
% 56.67/17.14 % (150101)Refutation found. Thanks to Tanya!
% 56.67/17.14 % SZS status Theorem for theBenchmark
% 56.67/17.14 % SZS output start Proof for theBenchmark
% 56.67/17.14 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 56.67/17.14 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 56.67/17.14 thf(type_def_7, type, extended_enat: $tType).
% 56.67/17.14 thf(type_def_8, type, set: $tType > $tType).
% 56.67/17.14 thf(type_def_9, type, nat: $tType).
% 56.67/17.14 thf(type_def_10, type, itself: $tType > $tType).
% 56.67/17.14 thf(type_def_11, type, a: $tType).
% 56.67/17.14 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 56.67/17.14 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_1, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_2, type, minus: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_3, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_5, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_8, type, comm_monoid_diff: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_9, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_10, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_11, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_12, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_13, type, comple187826305attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_14, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 56.67/17.14 thf(func_def_15, type, coindu493225792length: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > extended_enat))).
% 56.67/17.14 thf(func_def_16, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_17, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 56.67/17.14 thf(func_def_18, type, coindu1018505716length: !>[X0: $tType]:((coindu1593790203_llist @ X0 > extended_enat))).
% 56.67/17.14 thf(func_def_19, type, coindu300403952lexord: !>[X0: $tType]:(((X0 > X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 56.67/17.14 thf(func_def_20, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_21, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 56.67/17.14 thf(func_def_22, type, coindu1046438764le_lhd: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_23, type, coindu987187967t_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X1 > $o))).
% 56.67/17.14 thf(func_def_24, type, coindu1062782156e_lmap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X1))).
% 56.67/17.14 thf(func_def_25, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 56.67/17.14 thf(func_def_26, type, coindu1047225960le_ltl: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_27, type, coindu567634248member: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o))).
% 56.67/17.14 thf(func_def_28, type, coindu1696667936prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 56.67/17.14 thf(func_def_29, type, coindu574146665prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 56.67/17.14 thf(func_def_30, type, coindu1802687541_ltake: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_31, type, coindu721411036eWhile: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_32, type, coindu847746867e_lzip: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X1 > coindu1593790203_llist @ product_prod @ X0 @ X1))).
% 56.67/17.14 thf(func_def_33, type, extended_case_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 56.67/17.14 thf(func_def_34, type, extended_the_enat: (extended_enat > nat)).
% 56.67/17.14 thf(func_def_35, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 56.67/17.14 thf(func_def_36, type, zero_zero: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_37, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 56.67/17.14 thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 56.67/17.14 thf(func_def_39, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 56.67/17.14 thf(func_def_40, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 56.67/17.14 thf(func_def_41, type, type2: !>[X0: $tType]:(itself @ X0)).
% 56.67/17.14 thf(func_def_42, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 56.67/17.14 thf(func_def_43, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 56.67/17.14 thf(func_def_44, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 56.67/17.14 thf(func_def_45, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 56.67/17.14 thf(func_def_46, type, m: extended_enat).
% 56.67/17.14 thf(func_def_47, type, n: extended_enat).
% 56.67/17.14 thf(func_def_48, type, xs: coindu1593790203_llist @ a).
% 56.67/17.14 thf(func_def_52, type, vAND: ($o > $o > $o)).
% 56.67/17.14 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 56.67/17.14 thf(func_def_56, type, vNOT: ($o > $o)).
% 56.67/17.14 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 56.67/17.14 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 56.67/17.14 thf(func_def_59, type, vOR: ($o > $o > $o)).
% 56.67/17.14 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_61, type, db4: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_62, type, db3: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 56.67/17.14 thf(func_def_64, type, vIMP: ($o > $o > $o)).
% 56.67/17.14 thf(func_def_65, type, db5: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_66, type, db6: !>[X0: $tType]:(X0)).
% 56.67/17.14 thf(func_def_67, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 56.67/17.14 thf(func_def_68, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 56.67/17.14 thf(func_def_69, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 56.67/17.14 thf(func_def_70, type, sP3: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > $o))).
% 56.67/17.14 thf(func_def_71, type, sK4: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_72, type, sK5: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_73, type, sK6: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_74, type, sK7: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_75, type, sK8: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_76, type, sK9: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_77, type, sK10: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_78, type, sK11: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_79, type, sK12: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_80, type, sK13: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_81, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_83, type, sK16: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_84, type, sK17: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_85, type, sK18: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_86, type, sK19: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_87, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 56.67/17.14 thf(func_def_88, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 56.67/17.14 thf(func_def_89, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_90, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_91, type, sK24: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 56.67/17.14 thf(func_def_92, type, sK25: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 56.67/17.14 thf(func_def_93, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_94, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_95, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_96, type, sK29: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_97, type, sK30: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_98, type, sK31: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_99, type, sK32: !>[X0: $tType]:(((X0 > X0 > $o) > (coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_100, type, sK33: !>[X0: $tType]:(((X0 > X0 > $o) > (coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_101, type, sK34: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_102, type, sK35: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_103, type, sK36: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_104, type, sK37: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_105, type, sK38: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_106, type, sK39: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_107, type, sK40: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_108, type, sK41: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_109, type, sK42: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_110, type, sK43: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_111, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_112, type, sK45: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > X0))).
% 56.67/17.14 thf(func_def_113, type, sK46: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_114, type, sK47: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > X1))).
% 56.67/17.14 thf(func_def_115, type, sK48: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > coindu1593790203_llist @ X1))).
% 56.67/17.14 thf(func_def_116, type, sK49: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_117, type, sK50: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_118, type, sK51: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_119, type, sK52: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_120, type, sK53: !>[X0: $tType]:((set @ product_prod @ coindu1593790203_llist @ X0 @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_121, type, sK54: !>[X0: $tType]:((set @ product_prod @ coindu1593790203_llist @ X0 @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 56.67/17.14 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 56.67/17.14 thf(func_def_124, type, sK57: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_125, type, sK58: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_126, type, sK59: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_127, type, sK60: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_128, type, sK61: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_129, type, sK62: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_130, type, sK63: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_131, type, sK64: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_132, type, sK65: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_133, type, sK66: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_134, type, sK67: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_135, type, sK68: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_136, type, sK69: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_137, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_138, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 56.67/17.14 thf(func_def_139, type, sK72: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_140, type, sK73: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_141, type, sK74: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X1 > X0 > (X1 > X0) > coindu1593790203_llist @ X1))).
% 56.67/17.14 thf(func_def_142, type, sK75: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X1 > (X1 > X0) > X1))).
% 56.67/17.14 thf(func_def_143, type, sK76: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(func_def_144, type, sK77: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_146, type, sK79: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 56.67/17.14 thf(func_def_147, type, sK80: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 56.67/17.14 thf(f3,axiom,(
% 56.67/17.14 (ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ xs) @ m) | (ord_less_eq @ extended_enat @ n @ m)),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062n_A_092_060le_062_Am_A_092_060or_062_Allength_Axs_A_092_060le_062_Am_092_060close_062)).
% 56.67/17.14 thf(f4,axiom,(
% 56.67/17.14 ! [X0 : $tType,X1 : extended_enat,X2 : coindu1593790203_llist @ X0] : (coindu1696667936prefix @ X0 @ (coindu1802687541_ltake @ X0 @ X1 @ X2) @ X2)),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_ltake__is__lprefix)).
% 56.67/17.14 thf(f12,axiom,(
% 56.67/17.14 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : extended_enat] : ((ord_less_eq @ extended_enat @ (coindu1018505716length @ X0 @ X1) @ X2) => (((coindu1802687541_ltake @ X0 @ X2 @ X1)) = X1))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_ltake__all)).
% 56.67/17.14 thf(f15,axiom,(
% 56.67/17.14 ! [X0 : $tType,X1 : extended_enat,X2 : extended_enat,X3 : coindu1593790203_llist @ X0] : (((coindu1802687541_ltake @ X0 @ X1 @ (coindu1802687541_ltake @ X0 @ X2 @ X3))) = ((coindu1802687541_ltake @ X0 @ (ord_min @ extended_enat @ X1 @ X2) @ X3)))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_ltake__ltake)).
% 56.67/17.14 thf(f62,axiom,(
% 56.67/17.14 ! [X0 : $tType] : ((ord @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : ((ord_less_eq @ X0 @ X1 @ X2) => (((ord_min @ X0 @ X1 @ X2)) = X1)))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_min__absorb1)).
% 56.67/17.14 thf(f113,axiom,(
% 56.67/17.14 ! [X0 : $tType] : (transp @ X0 @ (^[X1 : X0, X2 : X0] : ((X1 = X2))))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_DEADID_Orel__transp)).
% 56.67/17.14 thf(f114,axiom,(
% 56.67/17.14 ! [X0 : $tType] : (transp @ X0 = (^[X1 : (X0 > X0 > $o)] : (! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))))))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_transp__def)).
% 56.67/17.14 thf(f188,axiom,(
% 56.67/17.14 ! [X0 : $tType] : (coindu1018505716length @ X0 = ((coindu493225792length @ X0 @ zero_zero @ nat)))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_llength__code)).
% 56.67/17.14 thf(f285,axiom,(
% 56.67/17.14 (ord @ extended_enat @ type2 @ extended_enat)),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oord_21)).
% 56.67/17.14 thf(f291,conjecture,(
% 56.67/17.14 (coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ (coindu1802687541_ltake @ a @ m @ xs))),
% 56.67/17.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 56.67/17.14 thf(f292,negated_conjecture,(
% 56.67/17.14 ~(coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ (coindu1802687541_ltake @ a @ m @ xs))),
% 56.67/17.14 inference(negated_conjecture,[status(cth)],[f291])).
% 56.67/17.14 thf(f297,plain,(
% 56.67/17.14 (ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ xs) @ m) | (ord_less_eq @ extended_enat @ n @ m)),
% 56.67/17.14 inference(rectify,[],[f3])).
% 56.67/17.14 thf(f298,plain,(
% 56.67/17.14 (((ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ xs) @ m)) = $true) | (((ord_less_eq @ extended_enat @ n @ m)) = $true)),
% 56.67/17.14 inference(fool_elimination,[],[f297])).
% 56.67/17.14 thf(f299,plain,(
% 56.67/17.14 ! [X0 : $tType,X1 : extended_enat,X2 : coindu1593790203_llist @ X0] : (coindu1696667936prefix @ X0 @ (coindu1802687541_ltake @ X0 @ X1 @ X2) @ X2)),
% 56.67/17.14 inference(rectify,[],[f4])).
% 56.67/17.14 thf(f300,plain,(
% 56.67/17.14 ! [X0 : $tType,X1 : extended_enat,X2 : coindu1593790203_llist @ X0] : (((coindu1696667936prefix @ X0 @ (coindu1802687541_ltake @ X0 @ X1 @ X2) @ X2)) = $true)),
% 56.67/17.14 inference(fool_elimination,[],[f299])).
% 56.67/17.14 thf(f315,plain,(
% 56.67/17.14 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : extended_enat] : ((ord_less_eq @ extended_enat @ (coindu1018505716length @ X0 @ X1) @ X2) => (((coindu1802687541_ltake @ X0 @ X2 @ X1)) = X1))),
% 56.67/17.14 inference(rectify,[],[f12])).
% 56.67/17.14 thf(f316,plain,(
% 56.67/17.14 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : extended_enat] : ((((ord_less_eq @ extended_enat @ (coindu1018505716length @ X0 @ X1) @ X2)) = $true) => (((coindu1802687541_ltake @ X0 @ X2 @ X1)) = X1))),
% 56.67/17.14 inference(fool_elimination,[],[f315])).
% 56.67/17.14 thf(f370,plain,(
% 56.67/17.14 ! [X0 : $tType] : ((ord @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : ((ord_less_eq @ X0 @ X1 @ X2) => (((ord_min @ X0 @ X1 @ X2)) = X1)))),
% 56.67/17.14 inference(rectify,[],[f62])).
% 56.67/17.14 thf(f371,plain,(
% 56.67/17.14 ! [X0 : $tType] : ((((ord @ X0 @ type2 @ X0)) = $true) => ! [X1 : X0,X2 : X0] : ((((ord_less_eq @ X0 @ X1 @ X2)) = $true) => (((ord_min @ X0 @ X1 @ X2)) = X1)))),
% 56.67/17.14 inference(fool_elimination,[],[f370])).
% 56.67/17.14 thf(f472,plain,(
% 56.67/17.14 ! [X0 : $tType] : (transp @ X0 @ (^[X1 : X0, X2 : X0] : ((X1 = X2))))),
% 56.67/17.14 inference(rectify,[],[f113])).
% 56.67/17.14 thf(f473,plain,(
% 56.67/17.14 ! [X0 : $tType] : ($true = ((transp @ X0 @ (^[Y0 : X0]: ((^[Y1 : X0]: (Y0 = Y1)))))))),
% 56.67/17.14 inference(fool_elimination,[],[f472])).
% 56.67/17.14 thf(f474,plain,(
% 56.67/17.14 ! [X0 : $tType] : (transp @ X0 = (^[X1 : (X0 > X0 > $o)] : (! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))))))),
% 56.67/17.14 inference(rectify,[],[f114])).
% 56.67/17.14 thf(f475,plain,(
% 56.67/17.14 ! [X0 : $tType] : (transp @ X0 = (^[Y0 : X0 > X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))))),
% 56.67/17.14 inference(fool_elimination,[],[f474])).
% 56.67/17.14 thf(f771,plain,(
% 56.67/17.14 (ord @ extended_enat @ type2 @ extended_enat)),
% 56.67/17.14 inference(rectify,[],[f285])).
% 56.67/17.14 thf(f772,plain,(
% 56.67/17.14 (((ord @ extended_enat @ type2 @ extended_enat)) = $true)),
% 56.67/17.14 inference(fool_elimination,[],[f771])).
% 56.67/17.14 thf(f782,plain,(
% 56.67/17.14 ~(coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ (coindu1802687541_ltake @ a @ m @ xs))),
% 56.67/17.14 inference(rectify,[],[f292])).
% 56.67/17.14 thf(f783,plain,(
% 56.67/17.14 ~ (((coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ (coindu1802687541_ltake @ a @ m @ xs))) = $true)),
% 56.67/17.14 inference(fool_elimination,[],[f782])).
% 56.67/17.14 thf(f823,plain,(
% 56.67/17.14 (((coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ (coindu1802687541_ltake @ a @ m @ xs))) != $true)),
% 56.67/17.14 inference(flattening,[],[f783])).
% 56.67/17.14 thf(f836,plain,(
% 56.67/17.14 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : extended_enat] : ((((coindu1802687541_ltake @ X0 @ X2 @ X1)) = X1) | (((ord_less_eq @ extended_enat @ (coindu1018505716length @ X0 @ X1) @ X2)) != $true))),
% 56.67/17.14 inference(ennf_transformation,[],[f316])).
% 56.67/17.14 thf(f856,plain,(
% 56.67/17.14 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((((ord_min @ X0 @ X1 @ X2)) = X1) | (((ord_less_eq @ X0 @ X1 @ X2)) != $true)) | (((ord @ X0 @ type2 @ X0)) != $true))),
% 56.67/17.14 inference(ennf_transformation,[],[f371])).
% 56.67/17.14 thf(f1094,plain,(
% 56.67/17.14 (((ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ xs) @ m)) = $true) | (((ord_less_eq @ extended_enat @ n @ m)) = $true)),
% 56.67/17.14 inference(cnf_transformation,[],[f298])).
% 56.67/17.14 thf(f1095,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : coindu1593790203_llist @ X0,X1 : extended_enat] : ((((coindu1696667936prefix @ X0 @ (coindu1802687541_ltake @ X0 @ X1 @ X2) @ X2)) = $true)) )),
% 56.67/17.14 inference(cnf_transformation,[],[f300])).
% 56.67/17.14 thf(f1103,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : extended_enat,X1 : coindu1593790203_llist @ X0] : ((((coindu1802687541_ltake @ X0 @ X2 @ X1)) = X1) | (((ord_less_eq @ extended_enat @ (coindu1018505716length @ X0 @ X1) @ X2)) != $true)) )),
% 56.67/17.14 inference(cnf_transformation,[],[f836])).
% 56.67/17.14 thf(f1106,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : extended_enat,X3 : coindu1593790203_llist @ X0,X1 : extended_enat] : ((((coindu1802687541_ltake @ X0 @ X1 @ (coindu1802687541_ltake @ X0 @ X2 @ X3))) = ((coindu1802687541_ltake @ X0 @ (ord_min @ extended_enat @ X1 @ X2) @ X3)))) )),
% 56.67/17.14 inference(cnf_transformation,[],[f15])).
% 56.67/17.14 thf(f1164,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((ord_less_eq @ X0 @ X1 @ X2)) != $true) | (((ord_min @ X0 @ X1 @ X2)) = X1) | (((ord @ X0 @ type2 @ X0)) != $true)) )),
% 56.67/17.14 inference(cnf_transformation,[],[f856])).
% 56.67/17.14 thf(f1236,plain,(
% 56.67/17.14 ( ! [X0 : $tType] : (($true = ((transp @ X0 @ (^[Y0 : X0]: ((^[Y1 : X0]: (Y0 = Y1)))))))) )),
% 56.67/17.14 inference(cnf_transformation,[],[f473])).
% 56.67/17.14 thf(f1237,plain,(
% 56.67/17.14 ( ! [X0 : $tType] : ((transp @ X0 = (^[Y0 : X0 > X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))))) )),
% 56.67/17.14 inference(cnf_transformation,[],[f475])).
% 56.67/17.14 thf(f1337,plain,(
% 56.67/17.14 ( ! [X0 : $tType] : ((coindu1018505716length @ X0 = ((coindu493225792length @ X0 @ zero_zero @ nat)))) )),
% 56.67/17.14 inference(cnf_transformation,[],[f188])).
% 56.67/17.14 thf(f1461,plain,(
% 56.67/17.14 (((ord @ extended_enat @ type2 @ extended_enat)) = $true)),
% 56.67/17.14 inference(cnf_transformation,[],[f772])).
% 56.67/17.14 thf(f1467,plain,(
% 56.67/17.14 (((coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ (coindu1802687541_ltake @ a @ m @ xs))) != $true)),
% 56.67/17.14 inference(cnf_transformation,[],[f823])).
% 56.67/17.14 thf(f1470,plain,(
% 56.67/17.14 ($true = ((ord_less_eq @ extended_enat @ (coindu493225792length @ a @ zero_zero @ nat @ xs) @ m))) | (((ord_less_eq @ extended_enat @ n @ m)) = $true)),
% 56.67/17.14 inference(definition_unfolding,[],[f1094,f1337])).
% 56.67/17.14 thf(f1471,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : extended_enat,X1 : coindu1593790203_llist @ X0] : (($true != ((ord_less_eq @ extended_enat @ (coindu493225792length @ X0 @ zero_zero @ nat @ X1) @ X2))) | (((coindu1802687541_ltake @ X0 @ X2 @ X1)) = X1)) )),
% 56.67/17.14 inference(definition_unfolding,[],[f1103,f1337])).
% 56.67/17.14 thf(f1479,plain,(
% 56.67/17.14 ( ! [X0 : $tType] : (($true = (((^[Y0 : X0 > X0 > $o]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))) @ (^[Y0 : X0]: ((^[Y1 : X0]: (Y0 = Y1)))))))) )),
% 56.67/17.14 inference(definition_unfolding,[],[f1236,f1237])).
% 56.67/17.14 thf(f2126,plain,(
% 56.67/17.14 ( ! [X0 : $tType] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y2 = Y1) => ((Y1 = Y0) => (Y2 = Y0)))))))))))) )),
% 56.67/17.14 inference(beta-eta_normalization,[],[f1479])).
% 56.67/17.14 thf(f2127,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X1 : X0] : (($true = (((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y2 = Y1) => ((Y1 = Y0) => (Y2 = Y0)))))))) @ X1)))) )),
% 56.67/17.14 inference(pi_proxy_clausification,[],[f2126])).
% 56.67/17.14 thf(f2128,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X1 : X0] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((Y1 = Y0) => ((Y0 = X1) => (Y1 = X1)))))))))) )),
% 56.67/17.14 inference(beta-eta_normalization,[],[f2127])).
% 56.67/17.14 thf(f2129,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = (((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((Y1 = Y0) => ((Y0 = X1) => (Y1 = X1)))))) @ X2)))) )),
% 56.67/17.14 inference(pi_proxy_clausification,[],[f2128])).
% 56.67/17.14 thf(f2130,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = ((!! @ X0 @ (^[Y0 : X0]: ((Y0 = X2) => ((X2 = X1) => (Y0 = X1)))))))) )),
% 56.67/17.14 inference(beta-eta_normalization,[],[f2129])).
% 56.67/17.14 thf(f2131,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($true = (((^[Y0 : X0]: ((Y0 = X2) => ((X2 = X1) => (Y0 = X1)))) @ X3)))) )),
% 56.67/17.14 inference(pi_proxy_clausification,[],[f2130])).
% 56.67/17.14 thf(f2132,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($true = (((X3 = X2) => ((X2 = X1) => (X3 = X1)))))) )),
% 56.67/17.14 inference(beta-eta_normalization,[],[f2131])).
% 56.67/17.14 thf(f2133,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($false = ((X3 = X2))) | ($true = (((X2 = X1) => (X3 = X1))))) )),
% 56.67/17.14 inference(imp_proxy_clausification,[],[f2132])).
% 56.67/17.14 thf(f2134,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((X2 != X3) | ($true = (((X2 = X1) => (X3 = X1))))) )),
% 56.67/17.14 inference(equality_proxy_clausification,[],[f2133])).
% 56.67/17.14 thf(f2135,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((X2 != X3) | ($false = ((X2 = X1))) | ($true = ((X3 = X1)))) )),
% 56.67/17.14 inference(imp_proxy_clausification,[],[f2134])).
% 56.67/17.14 thf(f2136,plain,(
% 56.67/17.14 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((X2 != X3) | (X1 != X2) | ($true = ((X3 = X1)))) )),
% 56.67/17.14 inference(equality_proxy_clausification,[],[f2135])).
% 56.67/17.14 thf(f2137,plain,(
% 56.67/17.14 ( ! [X2 : X0,X3 : X0,X1 : X0] : ((X1 = X3) | (X1 != X2) | (X2 != X3)) )),
% 56.67/17.14 inference(equality_proxy_clausification,[],[f2136])).
% 56.67/17.14 thf(f2342,plain,(
% 56.67/17.14 ( ! [X0 : coindu1593790203_llist @ a,X1 : coindu1593790203_llist @ a] : (($true != ((coindu1696667936prefix @ a @ (coindu1802687541_ltake @ a @ n @ xs) @ X0))) | (((coindu1802687541_ltake @ a @ m @ xs)) != X1) | (X0 != X1)) )),
% 56.67/17.14 inference(constrained_superposition,[],[f1467,f2137])).
% 56.67/17.14 thf(f2344,plain,(
% 56.67/17.14 ( ! [X0 : coindu1593790203_llist @ a,X1 : coindu1593790203_llist @ a] : (($true != ((coindu1696667936prefix @ a @ X0 @ (coindu1802687541_ltake @ a @ m @ xs)))) | (((coindu1802687541_ltake @ a @ n @ xs)) != X1) | (X0 != X1)) )),
% 56.67/17.14 inference(constrained_superposition,[],[f1467,f2137])).
% 56.67/17.14 thf(f4558,plain,(
% 56.67/17.14 ( ! [X0 : coindu1593790203_llist @ a] : (($true != $true) | (((coindu1802687541_ltake @ a @ m @ xs)) != X0) | (xs != X0)) )),
% 56.67/17.14 inference(constrained_superposition,[],[f2342,f1095])).
% 56.67/17.14 thf(f4561,plain,(
% 56.67/17.14 ( ! [X0 : extended_enat,X1 : coindu1593790203_llist @ a] : (($true != $true) | (((coindu1802687541_ltake @ a @ n @ xs)) != X1) | (((coindu1802687541_ltake @ a @ X0 @ (coindu1802687541_ltake @ a @ m @ xs))) != X1)) )),
% 56.67/17.14 inference(constrained_superposition,[],[f2344,f1095])).
% 56.67/17.14 thf(f4566,plain,(
% 56.67/17.14 ( ! [X0 : extended_enat,X1 : coindu1593790203_llist @ a] : ((((coindu1802687541_ltake @ a @ n @ xs)) != X1) | (((coindu1802687541_ltake @ a @ X0 @ (coindu1802687541_ltake @ a @ m @ xs))) != X1)) )),
% 56.67/17.14 inference(trivial_inequality_removal,[],[f4561])).
% 56.67/17.14 thf(f4569,plain,(
% 56.67/17.14 ( ! [X0 : coindu1593790203_llist @ a] : ((((coindu1802687541_ltake @ a @ m @ xs)) != X0) | (xs != X0)) )),
% 56.67/17.14 inference(trivial_inequality_removal,[],[f4558])).
% 56.67/17.14 thf(f4590,plain,(
% 56.67/17.14 ( ! [X0 : extended_enat,X1 : coindu1593790203_llist @ a] : ((((coindu1802687541_ltake @ a @ (ord_min @ extended_enat @ X0 @ m) @ xs)) != X1) | (((coindu1802687541_ltake @ a @ n @ xs)) != X1)) )),
% 56.67/17.14 inference(forward_demodulation,[],[f4566,f1106])).
% 56.67/17.14 thf(f4598,plain,(
% 56.67/17.14 (xs != ((coindu1802687541_ltake @ a @ m @ xs)))),
% 56.67/17.14 inference(equality_resolution,[],[f4569])).
% 56.67/17.14 thf(f5446,definition,(
% 56.67/17.14 spl78_12 <=> (((ord_less_eq @ extended_enat @ n @ m)) = $true)),
% 56.67/17.14 introduced(definition,[new_symbols(definition,[spl78_12])],[avatar_definition])).
% 56.67/17.14 thf(f5448,plain,(
% 56.67/17.14 (((ord_less_eq @ extended_enat @ n @ m)) = $true) | ~spl78_12),
% 56.67/17.14 inference(avatar_component_clause,[],[f5446])).
% 56.67/17.14 thf(f5450,definition,(
% 56.67/17.14 spl78_13 <=> ($true = ((ord_less_eq @ extended_enat @ (coindu493225792length @ a @ zero_zero @ nat @ xs) @ m)))),
% 56.67/17.14 introduced(definition,[new_symbols(definition,[spl78_13])],[avatar_definition])).
% 56.67/17.14 thf(f5452,plain,(
% 56.67/17.14 ($true = ((ord_less_eq @ extended_enat @ (coindu493225792length @ a @ zero_zero @ nat @ xs) @ m))) | ~spl78_13),
% 56.67/17.14 inference(avatar_component_clause,[],[f5450])).
% 56.67/17.14 thf(f5453,plain,(
% 56.67/17.14 spl78_12 | spl78_13),
% 56.67/17.14 inference(avatar_split_clause,[],[f1470,f5450,f5446])).
% 56.67/17.14 thf(f5468,plain,(
% 56.67/17.14 ($true != $true) | (n = ((ord_min @ extended_enat @ n @ m))) | (((ord @ extended_enat @ type2 @ extended_enat)) != $true) | ~spl78_12),
% 56.67/17.14 inference(constrained_superposition,[],[f1164,f5448])).
% 56.67/17.14 thf(f5469,plain,(
% 56.67/17.14 (n = ((ord_min @ extended_enat @ n @ m))) | (((ord @ extended_enat @ type2 @ extended_enat)) != $true) | ~spl78_12),
% 56.67/17.14 inference(trivial_inequality_removal,[],[f5468])).
% 56.67/17.14 thf(f5493,plain,(
% 56.67/17.14 (n = ((ord_min @ extended_enat @ n @ m))) | ~spl78_12),
% 56.67/17.14 inference(forward_subsumption_resolution,[],[f5469,f1461])).
% 56.67/17.14 thf(f20687,plain,(
% 56.67/17.14 ( ! [X0 : extended_enat] : ((((coindu1802687541_ltake @ a @ n @ xs)) != ((coindu1802687541_ltake @ a @ (ord_min @ extended_enat @ X0 @ m) @ xs)))) )),
% 56.67/17.14 inference(equality_resolution,[],[f4590])).
% 56.67/17.14 thf(f26854,plain,(
% 56.67/17.14 (((coindu1802687541_ltake @ a @ n @ xs)) != ((coindu1802687541_ltake @ a @ n @ xs))) | ~spl78_12),
% 56.67/17.14 inference(constrained_superposition,[],[f20687,f5493])).
% 56.67/17.14 thf(f26871,plain,(
% 56.67/17.14 $false | ~spl78_12),
% 56.67/17.14 inference(trivial_inequality_removal,[],[f26854])).
% 56.67/17.14 thf(f26872,plain,(
% 56.67/17.14 ~spl78_12),
% 56.67/17.14 inference(avatar_contradiction_clause,[],[f26871])).
% 56.67/17.14 thf(f27031,plain,(
% 56.67/17.14 ($true != $true) | (xs = ((coindu1802687541_ltake @ a @ m @ xs))) | ~spl78_13),
% 56.67/17.14 inference(constrained_superposition,[],[f1471,f5452])).
% 56.67/17.14 thf(f27032,plain,(
% 56.67/17.14 (xs = ((coindu1802687541_ltake @ a @ m @ xs))) | ~spl78_13),
% 56.67/17.14 inference(trivial_inequality_removal,[],[f27031])).
% 56.67/17.14 thf(f27135,plain,(
% 56.67/17.14 $false | ~spl78_13),
% 56.67/17.14 inference(forward_subsumption_resolution,[],[f27032,f4598])).
% 56.67/17.14 thf(f27136,plain,(
% 56.67/17.14 ~spl78_13),
% 56.67/17.14 inference(avatar_contradiction_clause,[],[f27135])).
% 56.67/17.14 cnf(s12, plain, spl78_12 | spl78_13, inference(sat_conversion,[],[f5453])).
% 56.67/17.14 cnf(s21, plain, ~spl78_12, inference(sat_conversion,[],[f26872])).
% 56.67/17.14 cnf(s22, plain, ~spl78_13, inference(sat_conversion,[],[f27136])).
% 56.67/17.14 cnf(s23, plain, $false, inference(rat,[],[s12,s22,s21])).
% 56.67/17.14 thf(f27166,plain,(
% 56.67/17.14 $false),
% 56.67/17.14 inference(avatar_sat_refutation,[],[s23])).
% 56.67/17.14 % SZS output end Proof for theBenchmark
% 56.67/17.14 % (150101)------------------------------
% 56.67/17.14 % (150101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.67/17.14 % (150101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.67/17.14 % (150101)CaDiCaL version: 2.1.3
% 56.67/17.14 % (150101)Termination reason: Refutation
% 56.67/17.14 % (150101)Time elapsed: 3.412 s
% 56.67/17.14 % (150101)Peak memory usage: 44 MB
% 56.67/17.14 % (150101)Instructions burned: 7441 (million)
% 56.67/17.14 % (149844)Success in time 16.822 s
% 56.67/17.14 % Vampire exiting
%------------------------------------------------------------------------------