%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO249^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:49:36 AM UTC 2026
% Result : Theorem 28.00s 4.19s
% Output : Refutation 28.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO249^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:41:15 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 4.34/1.00 % (39078)Will run a generic schedule for satisfiability detection.
% 4.34/1.00 % (39088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3110221955:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.34/1.00 % (39084)% WARNING: option uhcvi not known.
% 4.34/1.00 % (39083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1871228761_2999 on theBenchmark for (2999ds/0Mi)
% 4.34/1.00 % (39085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1776268596:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.34/1.00 % (39086)dis+10_1_sil=32000:sp=arity:random_seed=2177113196:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.34/1.00 % (39084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1756540397:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.34/1.00 % (39087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1266389897:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.34/1.00 % (39087)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.34/1.00 % (39084)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.34/1.00 % Exception at run slice level
% 4.34/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.34/1.00 % (39084)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.34/1.00 % (39089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=27340545:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.34/1.00 % (39096)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3947945772:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.34/1.00 % Exception at run slice level
% 4.34/1.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.34/1.00 % (39088)Instruction limit reached!
% 4.34/1.00 % (39088)------------------------------
% 4.34/1.00 % (39088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.00 % (39088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.00 % (39088)CaDiCaL version: 2.1.3
% 4.34/1.00 % (39088)Termination reason: Instruction limit
% 4.34/1.00 % (39088)Termination phase: Saturation
% 4.34/1.00 % (39088)Time elapsed: 0.035 s
% 4.34/1.00 % (39088)Peak memory usage: 13 MB
% 4.34/1.00 % (39088)Instructions burned: 132 (million)
% 4.34/1.00 % (39100)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=1879713550:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.34/1.00 % (39100)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.34/1.00 % (39100)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.34/1.00 % (39099)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=412645950:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.34/1.00 % (39086)Instruction limit reached!
% 4.34/1.00 % (39086)------------------------------
% 4.34/1.00 % (39086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.00 % (39086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.00 % (39086)CaDiCaL version: 2.1.3
% 4.34/1.00 % (39086)Termination reason: Instruction limit
% 4.34/1.00 % (39086)Termination phase: Saturation
% 4.34/1.00 % (39086)Time elapsed: 0.050 s
% 4.34/1.00 % (39086)Peak memory usage: 12 MB
% 4.34/1.00 % (39086)Instructions burned: 103 (million)
% 4.34/1.00 % (39087)Instruction limit reached!
% 4.34/1.00 % (39087)------------------------------
% 4.34/1.00 % (39087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/1.00 % (39087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.00 % (39087)CaDiCaL version: 2.1.3
% 4.34/1.00 % (39087)Termination reason: Instruction limit
% 4.34/1.00 % (39087)Termination phase: Saturation
% 4.34/1.00 % (39087)Time elapsed: 0.058 s
% 4.34/1.00 % (39087)Peak memory usage: 13 MB
% 4.34/1.00 % (39087)Instructions burned: 116 (million)
% 4.34/1.00 % (39103)ott-21_1_sil=16000:fs=off:random_seed=1577789413:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.34/1.00 % (39104)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=88360994:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 17.51/2.88 % (39099)Instruction limit reached!
% 17.51/2.88 % (39099)------------------------------
% 17.51/2.88 % (39099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/2.88 % (39099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/2.88 % (39099)CaDiCaL version: 2.1.3
% 17.51/2.88 % (39099)Termination reason: Instruction limit
% 17.51/2.88 % (39099)Termination phase: Saturation
% 17.51/2.88 % (39099)Time elapsed: 0.071 s
% 17.51/2.88 % (39099)Peak memory usage: 12 MB
% 17.51/2.88 % (39099)Instructions burned: 132 (million)
% 17.51/2.88 % (39089)Instruction limit reached!
% 17.51/2.88 % (39089)------------------------------
% 17.51/2.88 % (39089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/2.88 % (39089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/2.88 % (39089)CaDiCaL version: 2.1.3
% 17.51/2.88 % (39089)Termination reason: Instruction limit
% 17.51/2.88 % (39089)Termination phase: Saturation
% 17.51/2.88 % (39089)Time elapsed: 0.120 s
% 17.51/2.88 % (39089)Peak memory usage: 12 MB
% 17.51/2.88 % (39089)Instructions burned: 160 (million)
% 17.51/2.88 % (39107)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1167478672:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.51/2.88 % Exception at run slice level
% 17.51/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.51/2.88 % (39103)Instruction limit reached!
% 17.51/2.88 % (39103)------------------------------
% 17.51/2.88 % (39103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/2.88 % (39103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/2.88 % (39103)CaDiCaL version: 2.1.3
% 17.51/2.88 % (39103)Termination reason: Instruction limit
% 17.51/2.88 % (39103)Termination phase: Saturation
% 17.51/2.88 % (39103)Time elapsed: 0.084 s
% 17.51/2.88 % (39103)Peak memory usage: 12 MB
% 17.51/2.88 % (39103)Instructions burned: 181 (million)
% 17.51/2.88 % (39108)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=476189895:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.51/2.88 % (39110)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2278980072:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.51/2.88 % Exception at run slice level
% 17.51/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.51/2.88 % (39112)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=3846757130:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.51/2.88 % (39112)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.51/2.88 % (39114)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1316166909:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.51/2.88 % (39114)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.51/2.88 % (39100)Instruction limit reached!
% 17.51/2.88 % (39100)------------------------------
% 17.51/2.88 % (39100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.51/2.88 % (39100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/2.88 % (39100)CaDiCaL version: 2.1.3
% 17.51/2.88 % (39100)Termination reason: Instruction limit
% 17.51/2.88 % (39100)Termination phase: Saturation
% 17.51/2.88 % (39100)Time elapsed: 0.171 s
% 17.51/2.88 % (39100)Peak memory usage: 14 MB
% 17.51/2.88 % (39100)Instructions burned: 689 (million)
% 17.51/2.88 % (39117)fmb+10_1_sil=64000:random_seed=613704881:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.51/2.88 % (39117)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.51/2.88 % Exception at run slice level
% 17.51/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.51/2.88 % (39119)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2939889745:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.51/2.88 % Exception at run slice level
% 17.51/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.51/2.88 % (39121)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3875471276:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 17.51/2.88 % Exception at run slice level
% 17.51/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39123)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1037688951:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 28.00/4.19 % (39123)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 28.00/4.19 % (39104)Instruction limit reached!
% 28.00/4.19 % (39104)------------------------------
% 28.00/4.19 % (39104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39104)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39104)Termination reason: Instruction limit
% 28.00/4.19 % (39104)Termination phase: Saturation
% 28.00/4.19 % (39104)Time elapsed: 0.230 s
% 28.00/4.19 % (39104)Peak memory usage: 14 MB
% 28.00/4.19 % (39104)Instructions burned: 478 (million)
% 28.00/4.19 % (39125)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3350009249:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 28.00/4.19 % (39125)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 28.00/4.19 % (39125)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 28.00/4.19 % (39112)Instruction limit reached!
% 28.00/4.19 % (39112)------------------------------
% 28.00/4.19 % (39112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39112)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39112)Termination reason: Instruction limit
% 28.00/4.19 % (39112)Termination phase: Saturation
% 28.00/4.19 % (39112)Time elapsed: 0.317 s
% 28.00/4.19 % (39112)Peak memory usage: 15 MB
% 28.00/4.19 % (39112)Instructions burned: 694 (million)
% 28.00/4.19 % (39127)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1413296633:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39129)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=462246557:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39131)ott-2_1_sil=16000:newcnf=on:random_seed=3793783746:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 28.00/4.19 % (39131)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 28.00/4.19 % (39114)Instruction limit reached!
% 28.00/4.19 % (39114)------------------------------
% 28.00/4.19 % (39114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39114)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39114)Termination reason: Instruction limit
% 28.00/4.19 % (39114)Termination phase: Saturation
% 28.00/4.19 % (39114)Time elapsed: 0.408 s
% 28.00/4.19 % (39114)Peak memory usage: 17 MB
% 28.00/4.19 % (39114)Instructions burned: 880 (million)
% 28.00/4.19 % (39133)ott+10_1_sil=32000:tgt=ground:random_seed=1799026391:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 28.00/4.19 % (39108)Instruction limit reached!
% 28.00/4.19 % (39108)------------------------------
% 28.00/4.19 % (39108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39108)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39108)Termination reason: Instruction limit
% 28.00/4.19 % (39108)Termination phase: Saturation
% 28.00/4.19 % (39108)Time elapsed: 0.549 s
% 28.00/4.19 % (39108)Peak memory usage: 18 MB
% 28.00/4.19 % (39108)Instructions burned: 1180 (million)
% 28.00/4.19 % (39135)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3146279228:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39137)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2657783822:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 28.00/4.19 % (39137)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 28.00/4.19 % (39131)Instruction limit reached!
% 28.00/4.19 % (39131)------------------------------
% 28.00/4.19 % (39131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39131)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39131)Termination reason: Instruction limit
% 28.00/4.19 % (39131)Termination phase: Saturation
% 28.00/4.19 % (39131)Time elapsed: 0.385 s
% 28.00/4.19 % (39131)Peak memory usage: 17 MB
% 28.00/4.19 % (39131)Instructions burned: 872 (million)
% 28.00/4.19 % (39139)dis+21_1_sil=32000:sas=cadical:random_seed=3898439780:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 28.00/4.19 % (39125)Instruction limit reached!
% 28.00/4.19 % (39125)------------------------------
% 28.00/4.19 % (39125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39125)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39125)Termination reason: Instruction limit
% 28.00/4.19 % (39125)Termination phase: Saturation
% 28.00/4.19 % (39125)Time elapsed: 0.738 s
% 28.00/4.19 % (39125)Peak memory usage: 17 MB
% 28.00/4.19 % (39125)Instructions burned: 1472 (million)
% 28.00/4.19 % (39141)ott+11_1_sil=16000:gs=on:random_seed=522410719:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 28.00/4.19 % (39141)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 28.00/4.19 % (39123)Instruction limit reached!
% 28.00/4.19 % (39123)------------------------------
% 28.00/4.19 % (39123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39123)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39123)Termination reason: Instruction limit
% 28.00/4.19 % (39123)Termination phase: Saturation
% 28.00/4.19 % (39123)Time elapsed: 1.210 s
% 28.00/4.19 % (39123)Peak memory usage: 23 MB
% 28.00/4.19 % (39123)Instructions burned: 5133 (million)
% 28.00/4.19 % (39143)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3774651699:fmbsr=1.6:i=67534_2985 on theBenchmark for (2985ds/67534Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39145)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1083978759:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 28.00/4.19 % (39141)Instruction limit reached!
% 28.00/4.19 % (39141)------------------------------
% 28.00/4.19 % (39141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39141)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39141)Termination reason: Instruction limit
% 28.00/4.19 % (39141)Termination phase: Saturation
% 28.00/4.19 % (39141)Time elapsed: 0.915 s
% 28.00/4.19 % (39141)Peak memory usage: 15 MB
% 28.00/4.19 % (39141)Instructions burned: 2253 (million)
% 28.00/4.19 % (39147)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=666512872:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 28.00/4.19 % (39137)Instruction limit reached!
% 28.00/4.19 % (39137)------------------------------
% 28.00/4.19 % (39137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39137)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39137)Termination reason: Instruction limit
% 28.00/4.19 % (39137)Termination phase: Saturation
% 28.00/4.19 % (39137)Time elapsed: 1.534 s
% 28.00/4.19 % (39137)Peak memory usage: 23 MB
% 28.00/4.19 % (39137)Instructions burned: 3512 (million)
% 28.00/4.19 % (39149)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=21116551:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 28.00/4.19 % (39139)Instruction limit reached!
% 28.00/4.19 % (39139)------------------------------
% 28.00/4.19 % (39139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39139)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39139)Termination reason: Instruction limit
% 28.00/4.19 % (39139)Termination phase: Saturation
% 28.00/4.19 % (39139)Time elapsed: 1.669 s
% 28.00/4.19 % (39139)Peak memory usage: 24 MB
% 28.00/4.19 % (39139)Instructions burned: 3775 (million)
% 28.00/4.19 % (39151)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=184304332:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39153)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=4285566853:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39155)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2107288575:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 28.00/4.19 % Exception at run slice level
% 28.00/4.19 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 28.00/4.19 % (39145)Instruction limit reached!
% 28.00/4.19 % (39145)------------------------------
% 28.00/4.19 % (39145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39145)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39145)Termination reason: Instruction limit
% 28.00/4.19 % (39145)Termination phase: Saturation
% 28.00/4.19 % (39145)Time elapsed: 1.219 s
% 28.00/4.19 % (39145)Peak memory usage: 21 MB
% 28.00/4.19 % (39145)Instructions burned: 4594 (million)
% 28.00/4.19 % (39157)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2927003484:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 28.00/4.19 % (39158)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1412005648:i=8173:av=off_2972 on theBenchmark for (2972ds/8173Mi)
% 28.00/4.19 % (39133)Instruction limit reached!
% 28.00/4.19 % (39133)------------------------------
% 28.00/4.19 % (39133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39133)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39133)Termination reason: Instruction limit
% 28.00/4.19 % (39133)Termination phase: Saturation
% 28.00/4.19 % (39133)Time elapsed: 2.214 s
% 28.00/4.19 % (39133)Peak memory usage: 54 MB
% 28.00/4.19 % (39133)Instructions burned: 5117 (million)
% 28.00/4.19 % (39161)dis+10_16:1_sil=16000:random_seed=164304873:i=9155:fsr=off_2971 on theBenchmark for (2971ds/9155Mi)
% 28.00/4.19 % (39158) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-39078-39158"...
% 28.00/4.19 % (39158)...printing done.
% 28.00/4.19 % (39158)Refutation found. Thanks to Tanya!
% 28.00/4.19 % SZS status Theorem for theBenchmark
% 28.00/4.19 % SZS output start Proof for theBenchmark
% 28.00/4.19 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 28.00/4.19 thf(func_def_0, type, cBIGPHI: ($i > $i)).
% 28.00/4.19 thf(func_def_1, type, cHOM_FROM_HH_1: (($i > $i) > $o)).
% 28.00/4.19 thf(func_def_2, type, cPHI_2: ($i > $i)).
% 28.00/4.19 thf(func_def_3, type, cHOM_FROM_SS_PRIME: (($i > $i) > $o)).
% 28.00/4.19 thf(func_def_4, type, cPHI_1: ($i > $i)).
% 28.00/4.19 thf(func_def_5, type, cSS_PRIME: ($i > $o)).
% 28.00/4.19 thf(func_def_6, type, el1: ($i > ($i > $o) > $o)).
% 28.00/4.19 thf(func_def_7, type, cHH_1: ($i > $o)).
% 28.00/4.19 thf(func_def_8, type, cBIGHI: ($i > $i)).
% 28.00/4.19 thf(func_def_9, type, cHH_2: ($i > $o)).
% 28.00/4.19 thf(func_def_10, type, cTIMES: ($i > $i > $i)).
% 28.00/4.19 thf(func_def_14, type, sK0: ($i > $i)).
% 28.00/4.19 thf(func_def_17, type, sK3: (($i > $i) > $i)).
% 28.00/4.19 thf(func_def_18, type, sK4: (($i > $i) > $i)).
% 28.00/4.19 thf(func_def_19, type, vNOT: ($o > $o)).
% 28.00/4.19 thf(func_def_20, type, db0: !>[X0: $tType]:(X0)).
% 28.00/4.19 thf(func_def_21, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 28.00/4.19 thf(func_def_22, type, db1: !>[X0: $tType]:(X0)).
% 28.00/4.19 thf(func_def_23, type, sK5: (($i > $i > $i) > ($i > $i) > $i)).
% 28.00/4.19 thf(func_def_24, type, db2: !>[X0: $tType]:(X0)).
% 28.00/4.19 thf(func_def_25, type, sK6: (($i > $i > $i) > ($i > $i > $i) > $i)).
% 28.00/4.19 thf(f1,conjecture,(
% 28.00/4.19 ((cHOM_FROM_SS_PRIME @ cPHI_2) & (cHOM_FROM_SS_PRIME @ cPHI_1) & ! [X6 : $i] : ((el1 @ X6 @ cHH_1) => ? [X5 : $i] : ((((cPHI_1 @ X5)) = X6) & (el1 @ X5 @ cSS_PRIME))) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (((cBIGPHI @ (cPHI_1 @ X5))) = ((cPHI_2 @ X5)))) & ! [X5 : $i,X6 : $i] : (((X5 = X6) & (el1 @ X6 @ cHH_1) & (el1 @ X5 @ cHH_1)) => (((cBIGHI @ X5)) = ((cBIGPHI @ X6)))) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (el1 @ (cPHI_1 @ X5) @ cHH_1)) & ! [X5 : $i] : ((el1 @ X5 @ cHH_1) => (el1 @ (cBIGPHI @ X5) @ cHH_2)) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (el1 @ (cPHI_2 @ X5) @ cHH_2)) & ! [X5 : $i,X6 : $i] : (((el1 @ X6 @ cHH_1) & (el1 @ X5 @ cHH_1)) => (el1 @ (cTIMES @ X5 @ X6) @ cHH_1)) & ((cHOM_FROM_HH_1 @ cBIGPHI) <=> ! [X5 : $i,X6 : $i] : (((el1 @ X6 @ cHH_1) & (el1 @ X5 @ cHH_1)) => (((cBIGPHI @ (cTIMES @ X5 @ X6))) = ((cTIMES @ (cBIGPHI @ X5) @ (cBIGPHI @ X6)))))) & ! [X4 : ($i > $i)] : ((cHOM_FROM_SS_PRIME @ X4) <=> ! [X5 : $i,X6 : $i] : (((el1 @ X6 @ cSS_PRIME) & (el1 @ X5 @ cSS_PRIME)) => (((X4 @ (cTIMES @ X5 @ X6))) = ((cTIMES @ (X4 @ X5) @ (X4 @ X6)))))) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((X2 = X3) & (X0 = X1) & (el1 @ X3 @ cHH_1) & (el1 @ X2 @ cHH_1) & (el1 @ X1 @ cHH_1) & (el1 @ X0 @ cHH_1)) => (((cTIMES @ X0 @ X2)) = ((cTIMES @ X1 @ X3)))) & ! [X0 : $i,X1 : $i] : (((el1 @ X1 @ cSS_PRIME) & (el1 @ X0 @ cSS_PRIME)) => (el1 @ (cTIMES @ X0 @ X1) @ cSS_PRIME)) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((X2 = X3) & (X0 = X1) & (el1 @ X3 @ cHH_2) & (el1 @ X2 @ cHH_2) & (el1 @ X1 @ cHH_2) & (el1 @ X0 @ cHH_2)) => (((cTIMES @ X0 @ X2)) = ((cTIMES @ X1 @ X3))))) => (cHOM_FROM_HH_1 @ cBIGPHI)),
% 28.00/4.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPROB757)).
% 28.00/4.19 thf(f2,negated_conjecture,(
% 28.00/4.19 ~(((cHOM_FROM_SS_PRIME @ cPHI_2) & (cHOM_FROM_SS_PRIME @ cPHI_1) & ! [X6 : $i] : ((el1 @ X6 @ cHH_1) => ? [X5 : $i] : ((((cPHI_1 @ X5)) = X6) & (el1 @ X5 @ cSS_PRIME))) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (((cBIGPHI @ (cPHI_1 @ X5))) = ((cPHI_2 @ X5)))) & ! [X5 : $i,X6 : $i] : (((X5 = X6) & (el1 @ X6 @ cHH_1) & (el1 @ X5 @ cHH_1)) => (((cBIGHI @ X5)) = ((cBIGPHI @ X6)))) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (el1 @ (cPHI_1 @ X5) @ cHH_1)) & ! [X5 : $i] : ((el1 @ X5 @ cHH_1) => (el1 @ (cBIGPHI @ X5) @ cHH_2)) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (el1 @ (cPHI_2 @ X5) @ cHH_2)) & ! [X5 : $i,X6 : $i] : (((el1 @ X6 @ cHH_1) & (el1 @ X5 @ cHH_1)) => (el1 @ (cTIMES @ X5 @ X6) @ cHH_1)) & ((cHOM_FROM_HH_1 @ cBIGPHI) <=> ! [X5 : $i,X6 : $i] : (((el1 @ X6 @ cHH_1) & (el1 @ X5 @ cHH_1)) => (((cBIGPHI @ (cTIMES @ X5 @ X6))) = ((cTIMES @ (cBIGPHI @ X5) @ (cBIGPHI @ X6)))))) & ! [X4 : ($i > $i)] : ((cHOM_FROM_SS_PRIME @ X4) <=> ! [X5 : $i,X6 : $i] : (((el1 @ X6 @ cSS_PRIME) & (el1 @ X5 @ cSS_PRIME)) => (((X4 @ (cTIMES @ X5 @ X6))) = ((cTIMES @ (X4 @ X5) @ (X4 @ X6)))))) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((X2 = X3) & (X0 = X1) & (el1 @ X3 @ cHH_1) & (el1 @ X2 @ cHH_1) & (el1 @ X1 @ cHH_1) & (el1 @ X0 @ cHH_1)) => (((cTIMES @ X0 @ X2)) = ((cTIMES @ X1 @ X3)))) & ! [X0 : $i,X1 : $i] : (((el1 @ X1 @ cSS_PRIME) & (el1 @ X0 @ cSS_PRIME)) => (el1 @ (cTIMES @ X0 @ X1) @ cSS_PRIME)) & ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((X2 = X3) & (X0 = X1) & (el1 @ X3 @ cHH_2) & (el1 @ X2 @ cHH_2) & (el1 @ X1 @ cHH_2) & (el1 @ X0 @ cHH_2)) => (((cTIMES @ X0 @ X2)) = ((cTIMES @ X1 @ X3))))) => (cHOM_FROM_HH_1 @ cBIGPHI))),
% 28.00/4.19 inference(negated_conjecture,[status(cth)],[f1])).
% 28.00/4.19 thf(f3,plain,(
% 28.00/4.19 ~(((cHOM_FROM_SS_PRIME @ cPHI_2) & (cHOM_FROM_SS_PRIME @ cPHI_1) & ! [X0 : $i] : ((el1 @ X0 @ cHH_1) => ? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (el1 @ X1 @ cSS_PRIME))) & ! [X2 : $i] : ((el1 @ X2 @ cSS_PRIME) => (((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2))))) & ! [X3 : $i,X4 : $i] : (((X3 = X4) & (el1 @ X4 @ cHH_1) & (el1 @ X3 @ cHH_1)) => (((cBIGPHI @ X4)) = ((cBIGHI @ X3)))) & ! [X5 : $i] : ((el1 @ X5 @ cSS_PRIME) => (el1 @ (cPHI_1 @ X5) @ cHH_1)) & ! [X6 : $i] : ((el1 @ X6 @ cHH_1) => (el1 @ (cBIGPHI @ X6) @ cHH_2)) & ! [X7 : $i] : ((el1 @ X7 @ cSS_PRIME) => (el1 @ (cPHI_2 @ X7) @ cHH_2)) & ! [X8 : $i,X9 : $i] : (((el1 @ X9 @ cHH_1) & (el1 @ X8 @ cHH_1)) => (el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) & ((cHOM_FROM_HH_1 @ cBIGPHI) <=> ! [X10 : $i,X11 : $i] : (((el1 @ X11 @ cHH_1) & (el1 @ X10 @ cHH_1)) => (((cBIGPHI @ (cTIMES @ X10 @ X11))) = ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))))) & ! [X12 : ($i > $i)] : ((cHOM_FROM_SS_PRIME @ X12) <=> ! [X13 : $i,X14 : $i] : (((el1 @ X14 @ cSS_PRIME) & (el1 @ X13 @ cSS_PRIME)) => (((X12 @ (cTIMES @ X13 @ X14))) = ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : (((X17 = X18) & (X15 = X16) & (el1 @ X18 @ cHH_1) & (el1 @ X17 @ cHH_1) & (el1 @ X16 @ cHH_1) & (el1 @ X15 @ cHH_1)) => (((cTIMES @ X15 @ X17)) = ((cTIMES @ X16 @ X18)))) & ! [X19 : $i,X20 : $i] : (((el1 @ X20 @ cSS_PRIME) & (el1 @ X19 @ cSS_PRIME)) => (el1 @ (cTIMES @ X19 @ X20) @ cSS_PRIME)) & ! [X21 : $i,X22 : $i,X23 : $i,X24 : $i] : (((X23 = X24) & (X21 = X22) & (el1 @ X24 @ cHH_2) & (el1 @ X23 @ cHH_2) & (el1 @ X22 @ cHH_2) & (el1 @ X21 @ cHH_2)) => (((cTIMES @ X21 @ X23)) = ((cTIMES @ X22 @ X24))))) => (cHOM_FROM_HH_1 @ cBIGPHI))),
% 28.00/4.19 inference(rectify,[],[f2])).
% 28.00/4.19 thf(f4,plain,(
% 28.00/4.19 ~(((((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : ((((el1 @ X0 @ cHH_1)) = $true) => ? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (((el1 @ X1 @ cSS_PRIME)) = $true))) & ! [X2 : $i] : ((((el1 @ X2 @ cSS_PRIME)) = $true) => (((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2))))) & ! [X3 : $i,X4 : $i] : (((X3 = X4) & (((el1 @ X4 @ cHH_1)) = $true) & (((el1 @ X3 @ cHH_1)) = $true)) => (((cBIGPHI @ X4)) = ((cBIGHI @ X3)))) & ! [X5 : $i] : ((((el1 @ X5 @ cSS_PRIME)) = $true) => (((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true)) & ! [X6 : $i] : ((((el1 @ X6 @ cHH_1)) = $true) => (((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true)) & ! [X7 : $i] : ((((el1 @ X7 @ cSS_PRIME)) = $true) => (((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true)) & ! [X8 : $i,X9 : $i] : (((((el1 @ X9 @ cHH_1)) = $true) & (((el1 @ X8 @ cHH_1)) = $true)) => (((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true)) & ((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) <=> ! [X10 : $i,X11 : $i] : (((((el1 @ X11 @ cHH_1)) = $true) & (((el1 @ X10 @ cHH_1)) = $true)) => (((cBIGPHI @ (cTIMES @ X10 @ X11))) = ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))))) & ! [X12 : ($i > $i)] : ((((cHOM_FROM_SS_PRIME @ X12)) = $true) <=> ! [X13 : $i,X14 : $i] : (((((el1 @ X14 @ cSS_PRIME)) = $true) & (((el1 @ X13 @ cSS_PRIME)) = $true)) => (((X12 @ (cTIMES @ X13 @ X14))) = ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : (((X17 = X18) & (X15 = X16) & (((el1 @ X18 @ cHH_1)) = $true) & (((el1 @ X17 @ cHH_1)) = $true) & (((el1 @ X16 @ cHH_1)) = $true) & (((el1 @ X15 @ cHH_1)) = $true)) => (((cTIMES @ X15 @ X17)) = ((cTIMES @ X16 @ X18)))) & ! [X19 : $i,X20 : $i] : (((((el1 @ X20 @ cSS_PRIME)) = $true) & (((el1 @ X19 @ cSS_PRIME)) = $true)) => (((el1 @ (cTIMES @ X19 @ X20) @ cSS_PRIME)) = $true)) & ! [X21 : $i,X22 : $i,X23 : $i,X24 : $i] : (((X23 = X24) & (X21 = X22) & (((el1 @ X24 @ cHH_2)) = $true) & (((el1 @ X23 @ cHH_2)) = $true) & (((el1 @ X22 @ cHH_2)) = $true) & (((el1 @ X21 @ cHH_2)) = $true)) => (((cTIMES @ X21 @ X23)) = ((cTIMES @ X22 @ X24))))) => (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true))),
% 28.00/4.19 inference(fool_elimination,[],[f3])).
% 28.00/4.19 thf(f5,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true) & ((((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : (? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (((el1 @ X1 @ cSS_PRIME)) = $true)) | (((el1 @ X0 @ cHH_1)) != $true)) & ! [X2 : $i] : ((((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2)))) | (((el1 @ X2 @ cSS_PRIME)) != $true)) & ! [X3 : $i,X4 : $i] : ((((cBIGPHI @ X4)) = ((cBIGHI @ X3))) | ((X3 != X4) | (((el1 @ X4 @ cHH_1)) != $true) | (((el1 @ X3 @ cHH_1)) != $true))) & ! [X5 : $i] : ((((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true) | (((el1 @ X5 @ cSS_PRIME)) != $true)) & ! [X6 : $i] : ((((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true) | (((el1 @ X6 @ cHH_1)) != $true)) & ! [X7 : $i] : ((((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true) | (((el1 @ X7 @ cSS_PRIME)) != $true)) & ! [X8 : $i,X9 : $i] : ((((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true) | ((((el1 @ X9 @ cHH_1)) != $true) | (((el1 @ X8 @ cHH_1)) != $true))) & ((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) <=> ! [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) = ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) | ((((el1 @ X11 @ cHH_1)) != $true) | (((el1 @ X10 @ cHH_1)) != $true)))) & ! [X12 : ($i > $i)] : ((((cHOM_FROM_SS_PRIME @ X12)) = $true) <=> ! [X13 : $i,X14 : $i] : ((((X12 @ (cTIMES @ X13 @ X14))) = ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))) | ((((el1 @ X14 @ cSS_PRIME)) != $true) | (((el1 @ X13 @ cSS_PRIME)) != $true)))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : ((((cTIMES @ X15 @ X17)) = ((cTIMES @ X16 @ X18))) | ((X17 != X18) | (X15 != X16) | (((el1 @ X18 @ cHH_1)) != $true) | (((el1 @ X17 @ cHH_1)) != $true) | (((el1 @ X16 @ cHH_1)) != $true) | (((el1 @ X15 @ cHH_1)) != $true))) & ! [X19 : $i,X20 : $i] : ((((el1 @ (cTIMES @ X19 @ X20) @ cSS_PRIME)) = $true) | ((((el1 @ X20 @ cSS_PRIME)) != $true) | (((el1 @ X19 @ cSS_PRIME)) != $true))) & ! [X21 : $i,X22 : $i,X23 : $i,X24 : $i] : ((((cTIMES @ X21 @ X23)) = ((cTIMES @ X22 @ X24))) | ((X23 != X24) | (X21 != X22) | (((el1 @ X24 @ cHH_2)) != $true) | (((el1 @ X23 @ cHH_2)) != $true) | (((el1 @ X22 @ cHH_2)) != $true) | (((el1 @ X21 @ cHH_2)) != $true))))),
% 28.00/4.19 inference(ennf_transformation,[],[f4])).
% 28.00/4.19 thf(f6,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true) & (((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : (? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (((el1 @ X1 @ cSS_PRIME)) = $true)) | (((el1 @ X0 @ cHH_1)) != $true)) & ! [X2 : $i] : ((((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2)))) | (((el1 @ X2 @ cSS_PRIME)) != $true)) & ! [X3 : $i,X4 : $i] : ((((cBIGPHI @ X4)) = ((cBIGHI @ X3))) | (X3 != X4) | (((el1 @ X4 @ cHH_1)) != $true) | (((el1 @ X3 @ cHH_1)) != $true)) & ! [X5 : $i] : ((((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true) | (((el1 @ X5 @ cSS_PRIME)) != $true)) & ! [X6 : $i] : ((((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true) | (((el1 @ X6 @ cHH_1)) != $true)) & ! [X7 : $i] : ((((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true) | (((el1 @ X7 @ cSS_PRIME)) != $true)) & ! [X8 : $i,X9 : $i] : ((((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true) | (((el1 @ X9 @ cHH_1)) != $true) | (((el1 @ X8 @ cHH_1)) != $true)) & ((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) <=> ! [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) = ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) | (((el1 @ X11 @ cHH_1)) != $true) | (((el1 @ X10 @ cHH_1)) != $true))) & ! [X12 : ($i > $i)] : ((((cHOM_FROM_SS_PRIME @ X12)) = $true) <=> ! [X13 : $i,X14 : $i] : ((((X12 @ (cTIMES @ X13 @ X14))) = ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))) | (((el1 @ X14 @ cSS_PRIME)) != $true) | (((el1 @ X13 @ cSS_PRIME)) != $true))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : ((((cTIMES @ X15 @ X17)) = ((cTIMES @ X16 @ X18))) | (X17 != X18) | (X15 != X16) | (((el1 @ X18 @ cHH_1)) != $true) | (((el1 @ X17 @ cHH_1)) != $true) | (((el1 @ X16 @ cHH_1)) != $true) | (((el1 @ X15 @ cHH_1)) != $true)) & ! [X19 : $i,X20 : $i] : ((((el1 @ (cTIMES @ X19 @ X20) @ cSS_PRIME)) = $true) | (((el1 @ X20 @ cSS_PRIME)) != $true) | (((el1 @ X19 @ cSS_PRIME)) != $true)) & ! [X21 : $i,X22 : $i,X23 : $i,X24 : $i] : ((((cTIMES @ X21 @ X23)) = ((cTIMES @ X22 @ X24))) | (X23 != X24) | (X21 != X22) | (((el1 @ X24 @ cHH_2)) != $true) | (((el1 @ X23 @ cHH_2)) != $true) | (((el1 @ X22 @ cHH_2)) != $true) | (((el1 @ X21 @ cHH_2)) != $true))),
% 28.00/4.19 inference(flattening,[],[f5])).
% 28.00/4.19 thf(f7,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true) & (((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : (? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (((el1 @ X1 @ cSS_PRIME)) = $true)) | (((el1 @ X0 @ cHH_1)) != $true)) & ! [X2 : $i] : ((((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2)))) | (((el1 @ X2 @ cSS_PRIME)) != $true)) & ! [X3 : $i,X4 : $i] : ((((cBIGPHI @ X4)) = ((cBIGHI @ X3))) | (X3 != X4) | (((el1 @ X4 @ cHH_1)) != $true) | (((el1 @ X3 @ cHH_1)) != $true)) & ! [X5 : $i] : ((((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true) | (((el1 @ X5 @ cSS_PRIME)) != $true)) & ! [X6 : $i] : ((((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true) | (((el1 @ X6 @ cHH_1)) != $true)) & ! [X7 : $i] : ((((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true) | (((el1 @ X7 @ cSS_PRIME)) != $true)) & ! [X8 : $i,X9 : $i] : ((((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true) | (((el1 @ X9 @ cHH_1)) != $true) | (((el1 @ X8 @ cHH_1)) != $true)) & (((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) | ? [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) != ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) & (((el1 @ X11 @ cHH_1)) = $true) & (((el1 @ X10 @ cHH_1)) = $true))) & (! [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) = ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) | (((el1 @ X11 @ cHH_1)) != $true) | (((el1 @ X10 @ cHH_1)) != $true)) | (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true))) & ! [X12 : ($i > $i)] : (((((cHOM_FROM_SS_PRIME @ X12)) = $true) | ? [X13 : $i,X14 : $i] : ((((X12 @ (cTIMES @ X13 @ X14))) != ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))) & (((el1 @ X14 @ cSS_PRIME)) = $true) & (((el1 @ X13 @ cSS_PRIME)) = $true))) & (! [X13 : $i,X14 : $i] : ((((X12 @ (cTIMES @ X13 @ X14))) = ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))) | (((el1 @ X14 @ cSS_PRIME)) != $true) | (((el1 @ X13 @ cSS_PRIME)) != $true)) | (((cHOM_FROM_SS_PRIME @ X12)) != $true))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : ((((cTIMES @ X15 @ X17)) = ((cTIMES @ X16 @ X18))) | (X17 != X18) | (X15 != X16) | (((el1 @ X18 @ cHH_1)) != $true) | (((el1 @ X17 @ cHH_1)) != $true) | (((el1 @ X16 @ cHH_1)) != $true) | (((el1 @ X15 @ cHH_1)) != $true)) & ! [X19 : $i,X20 : $i] : ((((el1 @ (cTIMES @ X19 @ X20) @ cSS_PRIME)) = $true) | (((el1 @ X20 @ cSS_PRIME)) != $true) | (((el1 @ X19 @ cSS_PRIME)) != $true)) & ! [X21 : $i,X22 : $i,X23 : $i,X24 : $i] : ((((cTIMES @ X21 @ X23)) = ((cTIMES @ X22 @ X24))) | (X23 != X24) | (X21 != X22) | (((el1 @ X24 @ cHH_2)) != $true) | (((el1 @ X23 @ cHH_2)) != $true) | (((el1 @ X22 @ cHH_2)) != $true) | (((el1 @ X21 @ cHH_2)) != $true))),
% 28.00/4.19 inference(nnf_transformation,[],[f6])).
% 28.00/4.19 thf(f8,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true) & (((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : (? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (((el1 @ X1 @ cSS_PRIME)) = $true)) | (((el1 @ X0 @ cHH_1)) != $true)) & ! [X2 : $i] : ((((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2)))) | (((el1 @ X2 @ cSS_PRIME)) != $true)) & ! [X3 : $i,X4 : $i] : ((((cBIGPHI @ X4)) = ((cBIGHI @ X3))) | (X3 != X4) | (((el1 @ X4 @ cHH_1)) != $true) | (((el1 @ X3 @ cHH_1)) != $true)) & ! [X5 : $i] : ((((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true) | (((el1 @ X5 @ cSS_PRIME)) != $true)) & ! [X6 : $i] : ((((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true) | (((el1 @ X6 @ cHH_1)) != $true)) & ! [X7 : $i] : ((((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true) | (((el1 @ X7 @ cSS_PRIME)) != $true)) & ! [X8 : $i,X9 : $i] : ((((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true) | (((el1 @ X9 @ cHH_1)) != $true) | (((el1 @ X8 @ cHH_1)) != $true)) & ((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) | ? [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) != ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) & (((el1 @ X11 @ cHH_1)) = $true) & (((el1 @ X10 @ cHH_1)) = $true))) & (! [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) = ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) | (((el1 @ X11 @ cHH_1)) != $true) | (((el1 @ X10 @ cHH_1)) != $true)) | (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true)) & ! [X12 : ($i > $i)] : (((((cHOM_FROM_SS_PRIME @ X12)) = $true) | ? [X13 : $i,X14 : $i] : ((((X12 @ (cTIMES @ X13 @ X14))) != ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))) & (((el1 @ X14 @ cSS_PRIME)) = $true) & (((el1 @ X13 @ cSS_PRIME)) = $true))) & (! [X13 : $i,X14 : $i] : ((((X12 @ (cTIMES @ X13 @ X14))) = ((cTIMES @ (X12 @ X13) @ (X12 @ X14)))) | (((el1 @ X14 @ cSS_PRIME)) != $true) | (((el1 @ X13 @ cSS_PRIME)) != $true)) | (((cHOM_FROM_SS_PRIME @ X12)) != $true))) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : ((((cTIMES @ X15 @ X17)) = ((cTIMES @ X16 @ X18))) | (X17 != X18) | (X15 != X16) | (((el1 @ X18 @ cHH_1)) != $true) | (((el1 @ X17 @ cHH_1)) != $true) | (((el1 @ X16 @ cHH_1)) != $true) | (((el1 @ X15 @ cHH_1)) != $true)) & ! [X19 : $i,X20 : $i] : ((((el1 @ (cTIMES @ X19 @ X20) @ cSS_PRIME)) = $true) | (((el1 @ X20 @ cSS_PRIME)) != $true) | (((el1 @ X19 @ cSS_PRIME)) != $true)) & ! [X21 : $i,X22 : $i,X23 : $i,X24 : $i] : ((((cTIMES @ X21 @ X23)) = ((cTIMES @ X22 @ X24))) | (X23 != X24) | (X21 != X22) | (((el1 @ X24 @ cHH_2)) != $true) | (((el1 @ X23 @ cHH_2)) != $true) | (((el1 @ X22 @ cHH_2)) != $true) | (((el1 @ X21 @ cHH_2)) != $true))),
% 28.00/4.19 inference(flattening,[],[f7])).
% 28.00/4.19 thf(f9,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true) & (((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : (? [X1 : $i] : ((((cPHI_1 @ X1)) = X0) & (((el1 @ X1 @ cSS_PRIME)) = $true)) | (((el1 @ X0 @ cHH_1)) != $true)) & ! [X2 : $i] : ((((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2)))) | (((el1 @ X2 @ cSS_PRIME)) != $true)) & ! [X3 : $i,X4 : $i] : ((((cBIGPHI @ X4)) = ((cBIGHI @ X3))) | (X3 != X4) | (((el1 @ X4 @ cHH_1)) != $true) | (((el1 @ X3 @ cHH_1)) != $true)) & ! [X5 : $i] : ((((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true) | (((el1 @ X5 @ cSS_PRIME)) != $true)) & ! [X6 : $i] : ((((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true) | (((el1 @ X6 @ cHH_1)) != $true)) & ! [X7 : $i] : ((((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true) | (((el1 @ X7 @ cSS_PRIME)) != $true)) & ! [X8 : $i,X9 : $i] : ((((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true) | (((el1 @ X9 @ cHH_1)) != $true) | (((el1 @ X8 @ cHH_1)) != $true)) & ((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) | ? [X10 : $i,X11 : $i] : ((((cBIGPHI @ (cTIMES @ X10 @ X11))) != ((cTIMES @ (cBIGPHI @ X10) @ (cBIGPHI @ X11)))) & (((el1 @ X11 @ cHH_1)) = $true) & (((el1 @ X10 @ cHH_1)) = $true))) & (! [X12 : $i,X13 : $i] : ((((cBIGPHI @ (cTIMES @ X12 @ X13))) = ((cTIMES @ (cBIGPHI @ X12) @ (cBIGPHI @ X13)))) | ($true != ((el1 @ X13 @ cHH_1))) | ($true != ((el1 @ X12 @ cHH_1)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true)) & ! [X14 : ($i > $i)] : ((($true = ((cHOM_FROM_SS_PRIME @ X14))) | ? [X15 : $i,X16 : $i] : ((((X14 @ (cTIMES @ X15 @ X16))) != ((cTIMES @ (X14 @ X15) @ (X14 @ X16)))) & ($true = ((el1 @ X16 @ cSS_PRIME))) & ($true = ((el1 @ X15 @ cSS_PRIME))))) & (! [X17 : $i,X18 : $i] : ((((X14 @ (cTIMES @ X17 @ X18))) = ((cTIMES @ (X14 @ X17) @ (X14 @ X18)))) | ($true != ((el1 @ X18 @ cSS_PRIME))) | ($true != ((el1 @ X17 @ cSS_PRIME)))) | ($true != ((cHOM_FROM_SS_PRIME @ X14))))) & ! [X19 : $i,X20 : $i,X21 : $i,X22 : $i] : ((((cTIMES @ X19 @ X21)) = ((cTIMES @ X20 @ X22))) | (X21 != X22) | (X19 != X20) | ($true != ((el1 @ X22 @ cHH_1))) | ($true != ((el1 @ X21 @ cHH_1))) | ($true != ((el1 @ X20 @ cHH_1))) | ($true != ((el1 @ X19 @ cHH_1)))) & ! [X23 : $i,X24 : $i] : (($true = ((el1 @ (cTIMES @ X23 @ X24) @ cSS_PRIME))) | ($true != ((el1 @ X24 @ cSS_PRIME))) | ($true != ((el1 @ X23 @ cSS_PRIME)))) & ! [X25 : $i,X26 : $i,X27 : $i,X28 : $i] : ((((cTIMES @ X25 @ X27)) = ((cTIMES @ X26 @ X28))) | (X27 != X28) | (X25 != X26) | ($true != ((el1 @ X28 @ cHH_2))) | ($true != ((el1 @ X27 @ cHH_2))) | ($true != ((el1 @ X26 @ cHH_2))) | ($true != ((el1 @ X25 @ cHH_2))))),
% 28.00/4.19 inference(rectify,[],[f8])).
% 28.00/4.19 thf(f10,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true) & (((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true) & (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true) & ! [X0 : $i] : (((((cPHI_1 @ (sK0 @ X0))) = X0) & ($true = ((el1 @ (sK0 @ X0) @ cSS_PRIME)))) | (((el1 @ X0 @ cHH_1)) != $true)) & ! [X2 : $i] : ((((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2)))) | (((el1 @ X2 @ cSS_PRIME)) != $true)) & ! [X3 : $i,X4 : $i] : ((((cBIGPHI @ X4)) = ((cBIGHI @ X3))) | (X3 != X4) | (((el1 @ X4 @ cHH_1)) != $true) | (((el1 @ X3 @ cHH_1)) != $true)) & ! [X5 : $i] : ((((el1 @ (cPHI_1 @ X5) @ cHH_1)) = $true) | (((el1 @ X5 @ cSS_PRIME)) != $true)) & ! [X6 : $i] : ((((el1 @ (cBIGPHI @ X6) @ cHH_2)) = $true) | (((el1 @ X6 @ cHH_1)) != $true)) & ! [X7 : $i] : ((((el1 @ (cPHI_2 @ X7) @ cHH_2)) = $true) | (((el1 @ X7 @ cSS_PRIME)) != $true)) & ! [X8 : $i,X9 : $i] : ((((el1 @ (cTIMES @ X8 @ X9) @ cHH_1)) = $true) | (((el1 @ X9 @ cHH_1)) != $true) | (((el1 @ X8 @ cHH_1)) != $true)) & ((((cHOM_FROM_HH_1 @ cBIGPHI)) = $true) | ((((cBIGPHI @ (cTIMES @ sK1 @ sK2))) != ((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2)))) & ($true = ((el1 @ sK2 @ cHH_1))) & ($true = ((el1 @ sK1 @ cHH_1))))) & (! [X12 : $i,X13 : $i] : ((((cBIGPHI @ (cTIMES @ X12 @ X13))) = ((cTIMES @ (cBIGPHI @ X12) @ (cBIGPHI @ X13)))) | ($true != ((el1 @ X13 @ cHH_1))) | ($true != ((el1 @ X12 @ cHH_1)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true)) & ! [X14 : ($i > $i)] : ((($true = ((cHOM_FROM_SS_PRIME @ X14))) | ((((X14 @ (cTIMES @ (sK3 @ X14) @ (sK4 @ X14)))) != ((cTIMES @ (X14 @ (sK3 @ X14)) @ (X14 @ (sK4 @ X14))))) & ($true = ((el1 @ (sK4 @ X14) @ cSS_PRIME))) & ($true = ((el1 @ (sK3 @ X14) @ cSS_PRIME))))) & (! [X17 : $i,X18 : $i] : ((((X14 @ (cTIMES @ X17 @ X18))) = ((cTIMES @ (X14 @ X17) @ (X14 @ X18)))) | ($true != ((el1 @ X18 @ cSS_PRIME))) | ($true != ((el1 @ X17 @ cSS_PRIME)))) | ($true != ((cHOM_FROM_SS_PRIME @ X14))))) & ! [X19 : $i,X20 : $i,X21 : $i,X22 : $i] : ((((cTIMES @ X19 @ X21)) = ((cTIMES @ X20 @ X22))) | (X21 != X22) | (X19 != X20) | ($true != ((el1 @ X22 @ cHH_1))) | ($true != ((el1 @ X21 @ cHH_1))) | ($true != ((el1 @ X20 @ cHH_1))) | ($true != ((el1 @ X19 @ cHH_1)))) & ! [X23 : $i,X24 : $i] : (($true = ((el1 @ (cTIMES @ X23 @ X24) @ cSS_PRIME))) | ($true != ((el1 @ X24 @ cSS_PRIME))) | ($true != ((el1 @ X23 @ cSS_PRIME)))) & ! [X25 : $i,X26 : $i,X27 : $i,X28 : $i] : ((((cTIMES @ X25 @ X27)) = ((cTIMES @ X26 @ X28))) | (X27 != X28) | (X25 != X26) | ($true != ((el1 @ X28 @ cHH_2))) | ($true != ((el1 @ X27 @ cHH_2))) | ($true != ((el1 @ X26 @ cHH_2))) | ($true != ((el1 @ X25 @ cHH_2))))),
% 28.00/4.19 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK1,sK2,vAPP,vAPP]),skolemize(X16,sK4 @ X14),skolemize(X10,sK1),skolemize(X11,sK2),skolemize(X16,sK4 @ X14),skolemize(X16,sK4 @ X14)],[f9])).
% 28.00/4.19 thf(f12,plain,(
% 28.00/4.19 ( ! [X24 : $i,X23 : $i] : (($true != ((el1 @ X24 @ cSS_PRIME))) | ($true = ((el1 @ (cTIMES @ X23 @ X24) @ cSS_PRIME))) | ($true != ((el1 @ X23 @ cSS_PRIME)))) )),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f14,plain,(
% 28.00/4.19 ( ! [X18 : $i,X14 : ($i > $i),X17 : $i] : (($true != ((el1 @ X18 @ cSS_PRIME))) | (((X14 @ (cTIMES @ X17 @ X18))) = ((cTIMES @ (X14 @ X17) @ (X14 @ X18)))) | ($true != ((el1 @ X17 @ cSS_PRIME))) | ($true != ((cHOM_FROM_SS_PRIME @ X14)))) )),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f19,plain,(
% 28.00/4.19 ($true = ((el1 @ sK1 @ cHH_1))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f20,plain,(
% 28.00/4.19 ($true = ((el1 @ sK2 @ cHH_1))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f21,plain,(
% 28.00/4.19 (((cBIGPHI @ (cTIMES @ sK1 @ sK2))) != ((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f27,plain,(
% 28.00/4.19 ( ! [X2 : $i] : ((((el1 @ X2 @ cSS_PRIME)) != $true) | (((cPHI_2 @ X2)) = ((cBIGPHI @ (cPHI_1 @ X2))))) )),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f28,plain,(
% 28.00/4.19 ( ! [X0 : $i] : ((((el1 @ X0 @ cHH_1)) != $true) | ($true = ((el1 @ (sK0 @ X0) @ cSS_PRIME)))) )),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f29,plain,(
% 28.00/4.19 ( ! [X0 : $i] : ((((el1 @ X0 @ cHH_1)) != $true) | (((cPHI_1 @ (sK0 @ X0))) = X0)) )),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f30,plain,(
% 28.00/4.19 (((cHOM_FROM_SS_PRIME @ cPHI_1)) = $true)),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f31,plain,(
% 28.00/4.19 (((cHOM_FROM_SS_PRIME @ cPHI_2)) = $true)),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f32,plain,(
% 28.00/4.19 (((cHOM_FROM_HH_1 @ cBIGPHI)) != $true)),
% 28.00/4.19 inference(cnf_transformation,[],[f10])).
% 28.00/4.19 thf(f34,definition,(
% 28.00/4.19 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 28.00/4.19 introduced(theory,[fool_exhaustiveness_axiom])).
% 28.00/4.19 thf(f43,plain,(
% 28.00/4.19 ($true != $true) | (sK1 = ((cPHI_1 @ (sK0 @ sK1)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(constrained_superposition,[],[f29,f19])).
% 28.00/4.19 thf(f44,plain,(
% 28.00/4.19 ($true != $true) | (sK2 = ((cPHI_1 @ (sK0 @ sK2)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(constrained_superposition,[],[f29,f20])).
% 28.00/4.19 thf(f45,plain,(
% 28.00/4.19 (sK2 = ((cPHI_1 @ (sK0 @ sK2)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f44])).
% 28.00/4.19 thf(f46,plain,(
% 28.00/4.19 (sK1 = ((cPHI_1 @ (sK0 @ sK1)))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f43])).
% 28.00/4.19 thf(f47,plain,(
% 28.00/4.19 (sK2 = ((cPHI_1 @ (sK0 @ sK2))))),
% 28.00/4.19 inference(forward_subsumption_resolution,[],[f45,f32])).
% 28.00/4.19 thf(f48,plain,(
% 28.00/4.19 (sK1 = ((cPHI_1 @ (sK0 @ sK1))))),
% 28.00/4.19 inference(forward_subsumption_resolution,[],[f46,f32])).
% 28.00/4.19 thf(f73,plain,(
% 28.00/4.19 ($true != $true) | ($true = ((el1 @ (sK0 @ sK1) @ cSS_PRIME))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(constrained_superposition,[],[f28,f19])).
% 28.00/4.19 thf(f74,plain,(
% 28.00/4.19 ($true != $true) | ($true = ((el1 @ (sK0 @ sK2) @ cSS_PRIME))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(constrained_superposition,[],[f28,f20])).
% 28.00/4.19 thf(f75,plain,(
% 28.00/4.19 ($true = ((el1 @ (sK0 @ sK2) @ cSS_PRIME))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f74])).
% 28.00/4.19 thf(f76,plain,(
% 28.00/4.19 ($true = ((el1 @ (sK0 @ sK1) @ cSS_PRIME))) | (((cHOM_FROM_HH_1 @ cBIGPHI)) = $true)),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f73])).
% 28.00/4.19 thf(f77,plain,(
% 28.00/4.19 ($true = ((el1 @ (sK0 @ sK2) @ cSS_PRIME)))),
% 28.00/4.19 inference(forward_subsumption_resolution,[],[f75,f32])).
% 28.00/4.19 thf(f78,plain,(
% 28.00/4.19 ($true = ((el1 @ (sK0 @ sK1) @ cSS_PRIME)))),
% 28.00/4.19 inference(forward_subsumption_resolution,[],[f76,f32])).
% 28.00/4.19 thf(f81,plain,(
% 28.00/4.19 ($true != $true) | (((cPHI_2 @ (sK0 @ sK2))) = ((cBIGPHI @ (cPHI_1 @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(constrained_superposition,[],[f27,f77])).
% 28.00/4.19 thf(f82,plain,(
% 28.00/4.19 (((cPHI_2 @ (sK0 @ sK2))) = ((cBIGPHI @ (cPHI_1 @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f81])).
% 28.00/4.19 thf(f85,plain,(
% 28.00/4.19 (((cBIGPHI @ sK2)) = ((cPHI_2 @ (sK0 @ sK2))))),
% 28.00/4.19 inference(forward_demodulation,[],[f82,f47])).
% 28.00/4.19 thf(f96,plain,(
% 28.00/4.19 ( ! [X0 : $i] : (($true != $true) | (((cPHI_2 @ X0)) = ((cBIGPHI @ (cPHI_1 @ X0)))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f27,f34])).
% 28.00/4.19 thf(f98,plain,(
% 28.00/4.19 ( ! [X0 : $i] : ((((el1 @ X0 @ cSS_PRIME)) = $false) | (((cPHI_2 @ X0)) = ((cBIGPHI @ (cPHI_1 @ X0))))) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f96])).
% 28.00/4.19 thf(f116,plain,(
% 28.00/4.19 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((el1 @ (cTIMES @ X1 @ X0) @ cSS_PRIME))) | (((el1 @ X1 @ cSS_PRIME)) != $true) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f12,f34])).
% 28.00/4.19 thf(f117,plain,(
% 28.00/4.19 ( ! [X0 : $i,X1 : $i] : ((((el1 @ X1 @ cSS_PRIME)) != $true) | ($true = ((el1 @ (cTIMES @ X1 @ X0) @ cSS_PRIME))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f116])).
% 28.00/4.19 thf(f142,plain,(
% 28.00/4.19 ($true != $true) | (((cPHI_2 @ (sK0 @ sK1))) = ((cBIGPHI @ (cPHI_1 @ (sK0 @ sK1)))))),
% 28.00/4.19 inference(constrained_superposition,[],[f27,f78])).
% 28.00/4.19 thf(f143,plain,(
% 28.00/4.19 (((cPHI_2 @ (sK0 @ sK1))) = ((cBIGPHI @ (cPHI_1 @ (sK0 @ sK1)))))),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f142])).
% 28.00/4.19 thf(f147,plain,(
% 28.00/4.19 (((cBIGPHI @ sK1)) = ((cPHI_2 @ (sK0 @ sK1))))),
% 28.00/4.19 inference(forward_demodulation,[],[f143,f48])).
% 28.00/4.19 thf(f184,plain,(
% 28.00/4.19 ( ! [X0 : ($i > $i),X1 : $i] : (($true != $true) | (((X0 @ (cTIMES @ X1 @ (sK0 @ sK2)))) = ((cTIMES @ (X0 @ X1) @ (X0 @ (sK0 @ sK2))))) | (((el1 @ X1 @ cSS_PRIME)) != $true) | ($true != ((cHOM_FROM_SS_PRIME @ X0)))) )),
% 28.00/4.19 inference(constrained_superposition,[],[f14,f77])).
% 28.00/4.19 thf(f186,plain,(
% 28.00/4.19 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : (($true != $true) | (((X1 @ (cTIMES @ X2 @ X0))) = ((cTIMES @ (X1 @ X2) @ (X1 @ X0)))) | (((el1 @ X2 @ cSS_PRIME)) != $true) | ($true != ((cHOM_FROM_SS_PRIME @ X1))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f14,f34])).
% 28.00/4.19 thf(f187,plain,(
% 28.00/4.19 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((el1 @ X2 @ cSS_PRIME)) != $true) | (((X1 @ (cTIMES @ X2 @ X0))) = ((cTIMES @ (X1 @ X2) @ (X1 @ X0)))) | ($true != ((cHOM_FROM_SS_PRIME @ X1))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f186])).
% 28.00/4.19 thf(f189,plain,(
% 28.00/4.19 ( ! [X0 : ($i > $i),X1 : $i] : ((((el1 @ X1 @ cSS_PRIME)) != $true) | (((X0 @ (cTIMES @ X1 @ (sK0 @ sK2)))) = ((cTIMES @ (X0 @ X1) @ (X0 @ (sK0 @ sK2))))) | ($true != ((cHOM_FROM_SS_PRIME @ X0)))) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f184])).
% 28.00/4.19 thf(f524,plain,(
% 28.00/4.19 ( ! [X0 : $i] : (($true != $true) | ($true = ((el1 @ (cTIMES @ (sK0 @ sK1) @ X0) @ cSS_PRIME))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f117,f78])).
% 28.00/4.19 thf(f532,plain,(
% 28.00/4.19 ( ! [X0 : $i] : (($true = ((el1 @ (cTIMES @ (sK0 @ sK1) @ X0) @ cSS_PRIME))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f524])).
% 28.00/4.19 thf(f605,plain,(
% 28.00/4.19 ( ! [X0 : ($i > $i),X1 : $i] : (($true != $true) | (((X0 @ (cTIMES @ (sK0 @ sK1) @ X1))) = ((cTIMES @ (X0 @ (sK0 @ sK1)) @ (X0 @ X1)))) | ($true != ((cHOM_FROM_SS_PRIME @ X0))) | (((el1 @ X1 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f187,f78])).
% 28.00/4.19 thf(f613,plain,(
% 28.00/4.19 ( ! [X0 : ($i > $i),X1 : $i] : (($true != ((cHOM_FROM_SS_PRIME @ X0))) | (((X0 @ (cTIMES @ (sK0 @ sK1) @ X1))) = ((cTIMES @ (X0 @ (sK0 @ sK1)) @ (X0 @ X1)))) | (((el1 @ X1 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f605])).
% 28.00/4.19 thf(f1738,plain,(
% 28.00/4.19 ( ! [X0 : $i] : (($true = $false) | (((cBIGPHI @ (cPHI_1 @ (cTIMES @ (sK0 @ sK1) @ X0)))) = ((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ X0)))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f98,f532])).
% 28.00/4.19 thf(f1759,plain,(
% 28.00/4.19 ( ! [X0 : $i] : ((((cBIGPHI @ (cPHI_1 @ (cTIMES @ (sK0 @ sK1) @ X0)))) = ((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ X0)))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f1738])).
% 28.00/4.19 thf(f3304,plain,(
% 28.00/4.19 ( ! [X0 : ($i > $i)] : (($true != $true) | (((X0 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))) = ((cTIMES @ (X0 @ (sK0 @ sK1)) @ (X0 @ (sK0 @ sK2))))) | ($true != ((cHOM_FROM_SS_PRIME @ X0)))) )),
% 28.00/4.19 inference(constrained_superposition,[],[f189,f78])).
% 28.00/4.19 thf(f3356,plain,(
% 28.00/4.19 ( ! [X0 : ($i > $i)] : (($true != ((cHOM_FROM_SS_PRIME @ X0))) | (((X0 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))) = ((cTIMES @ (X0 @ (sK0 @ sK1)) @ (X0 @ (sK0 @ sK2)))))) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f3304])).
% 28.00/4.19 thf(f3431,plain,(
% 28.00/4.19 ( ! [X0 : $i] : (($true != $true) | (((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ X0))) = ((cTIMES @ (cPHI_2 @ (sK0 @ sK1)) @ (cPHI_2 @ X0)))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(constrained_superposition,[],[f613,f31])).
% 28.00/4.19 thf(f3437,plain,(
% 28.00/4.19 ( ! [X0 : $i] : ((((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ X0))) = ((cTIMES @ (cPHI_2 @ (sK0 @ sK1)) @ (cPHI_2 @ X0)))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f3431])).
% 28.00/4.19 thf(f3439,plain,(
% 28.00/4.19 ( ! [X0 : $i] : ((((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ X0))) = ((cTIMES @ (cBIGPHI @ sK1) @ (cPHI_2 @ X0)))) | (((el1 @ X0 @ cSS_PRIME)) = $false)) )),
% 28.00/4.19 inference(forward_demodulation,[],[f3437,f147])).
% 28.00/4.19 thf(f11787,plain,(
% 28.00/4.19 (((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2))) = ((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2))))) | ($false = ((el1 @ (sK0 @ sK2) @ cSS_PRIME)))),
% 28.00/4.19 inference(constrained_superposition,[],[f3439,f85])).
% 28.00/4.19 thf(f11870,plain,(
% 28.00/4.19 ($true = $false) | (((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2))) = ((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(forward_demodulation,[],[f11787,f77])).
% 28.00/4.19 thf(f11871,plain,(
% 28.00/4.19 (((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2))) = ((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f11870])).
% 28.00/4.19 thf(f14987,plain,(
% 28.00/4.19 ($true != $true) | (((cPHI_1 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))) = ((cTIMES @ (cPHI_1 @ (sK0 @ sK1)) @ (cPHI_1 @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(constrained_superposition,[],[f3356,f30])).
% 28.00/4.19 thf(f14995,plain,(
% 28.00/4.19 (((cPHI_1 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))) = ((cTIMES @ (cPHI_1 @ (sK0 @ sK1)) @ (cPHI_1 @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f14987])).
% 28.00/4.19 thf(f14997,plain,(
% 28.00/4.19 (((cPHI_1 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))) = ((cTIMES @ sK1 @ (cPHI_1 @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(forward_demodulation,[],[f14995,f48])).
% 28.00/4.19 thf(f14999,plain,(
% 28.00/4.19 (((cTIMES @ sK1 @ sK2)) = ((cPHI_1 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2)))))),
% 28.00/4.19 inference(forward_demodulation,[],[f14997,f47])).
% 28.00/4.19 thf(f15051,plain,(
% 28.00/4.19 (((cBIGPHI @ (cTIMES @ sK1 @ sK2))) = ((cPHI_2 @ (cTIMES @ (sK0 @ sK1) @ (sK0 @ sK2))))) | ($false = ((el1 @ (sK0 @ sK2) @ cSS_PRIME)))),
% 28.00/4.19 inference(constrained_superposition,[],[f1759,f14999])).
% 28.00/4.19 thf(f15082,plain,(
% 28.00/4.19 (((cBIGPHI @ (cTIMES @ sK1 @ sK2))) = ((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2)))) | ($false = ((el1 @ (sK0 @ sK2) @ cSS_PRIME)))),
% 28.00/4.19 inference(forward_demodulation,[],[f15051,f11871])).
% 28.00/4.19 thf(f15086,plain,(
% 28.00/4.19 ($true = $false) | (((cBIGPHI @ (cTIMES @ sK1 @ sK2))) = ((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2))))),
% 28.00/4.19 inference(forward_demodulation,[],[f15082,f77])).
% 28.00/4.19 thf(f15087,plain,(
% 28.00/4.19 (((cBIGPHI @ (cTIMES @ sK1 @ sK2))) = ((cTIMES @ (cBIGPHI @ sK1) @ (cBIGPHI @ sK2))))),
% 28.00/4.19 inference(trivial_inequality_removal,[],[f15086])).
% 28.00/4.19 thf(f15088,plain,(
% 28.00/4.19 $false),
% 28.00/4.19 inference(global_subsumption,[],[f15087,f32,f21])).
% 28.00/4.19 % SZS output end Proof for theBenchmark
% 28.00/4.19 % (39158)------------------------------
% 28.00/4.19 % (39158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.19 % (39158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.19 % (39158)CaDiCaL version: 2.1.3
% 28.00/4.19 % (39158)Termination reason: Refutation
% 28.00/4.19 % (39158)Time elapsed: 1.199 s
% 28.00/4.19 % (39158)Peak memory usage: 43 MB
% 28.00/4.19 % (39158)Instructions burned: 4876 (million)
% 28.00/4.19 % (39078)Success in time 3.959 s
% 28.00/4.19 % Vampire exiting
%------------------------------------------------------------------------------