%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP121^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:46 AM UTC 2026
% Result : Theorem 12.31s 2.09s
% Output : Refutation 12.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP121^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 19:56:25 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.73/1.51 % (1230057)Will run a generic schedule for satisfiability detection.
% 7.73/1.51 % (1230064)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3402044471:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.73/1.51 % (1230063)% WARNING: option uhcvi not known.
% 7.73/1.51 % (1230062)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3773071875_2999 on theBenchmark for (2999ds/0Mi)
% 7.73/1.51 % (1230063)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=902342063:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.73/1.51 % (1230065)dis+10_1_sil=32000:sp=arity:random_seed=856928360:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.73/1.51 % (1230066)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3136333112:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.73/1.51 % (1230067)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1219351584:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.73/1.51 % (1230068)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=745294065:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.73/1.51 % (1230063)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.73/1.51 % (1230066)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.73/1.51 % Exception at run slice level
% 7.73/1.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.73/1.51 % (1230063)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.73/1.51 % (1230076)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1028611858:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.73/1.51 % (1230065)Instruction limit reached!
% 7.73/1.51 % (1230065)------------------------------
% 7.73/1.51 % (1230065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.51 % (1230065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.51 % (1230065)CaDiCaL version: 2.1.3
% 7.73/1.51 % (1230065)Termination reason: Instruction limit
% 7.73/1.51 % (1230065)Termination phase: Saturation
% 7.73/1.51 % (1230065)Time elapsed: 0.091 s
% 7.73/1.51 % (1230065)Peak memory usage: 12 MB
% 7.73/1.51 % (1230065)Instructions burned: 103 (million)
% 7.73/1.51 % (1230066)Instruction limit reached!
% 7.73/1.51 % (1230066)------------------------------
% 7.73/1.51 % (1230066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.51 % (1230066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.51 % (1230066)CaDiCaL version: 2.1.3
% 7.73/1.51 % (1230066)Termination reason: Instruction limit
% 7.73/1.51 % (1230066)Termination phase: Saturation
% 7.73/1.51 % (1230066)Time elapsed: 0.100 s
% 7.73/1.51 % (1230066)Peak memory usage: 13 MB
% 7.73/1.51 % (1230066)Instructions burned: 117 (million)
% 7.73/1.51 % (1230067)Instruction limit reached!
% 7.73/1.51 % (1230067)------------------------------
% 7.73/1.51 % (1230067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.51 % (1230067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.51 % (1230067)CaDiCaL version: 2.1.3
% 7.73/1.51 % (1230067)Termination reason: Instruction limit
% 7.73/1.51 % (1230067)Termination phase: Saturation
% 7.73/1.51 % (1230067)Time elapsed: 0.117 s
% 7.73/1.51 % (1230067)Peak memory usage: 13 MB
% 7.73/1.51 % (1230067)Instructions burned: 131 (million)
% 7.73/1.51 % (1230078)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2244706542:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.73/1.51 % (1230079)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=2062364575:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.73/1.51 % (1230068)Instruction limit reached!
% 7.73/1.51 % (1230068)------------------------------
% 7.73/1.51 % (1230068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.51 % (1230068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.51 % (1230068)CaDiCaL version: 2.1.3
% 7.73/1.51 % (1230068)Termination reason: Instruction limit
% 7.73/1.51 % (1230068)Termination phase: Saturation
% 7.73/1.51 % (1230068)Time elapsed: 0.140 s
% 7.73/1.51 % (1230068)Peak memory usage: 13 MB
% 7.73/1.51 % (1230068)Instructions burned: 159 (million)
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230080)ott-21_1_sil=16000:fs=off:random_seed=2692662516:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.31/2.09 % (1230079)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.31/2.09 % (1230083)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1789936819:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 12.31/2.09 % (1230084)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1536834110:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.31/2.09 % (1230079)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230078)Instruction limit reached!
% 12.31/2.09 % (1230078)------------------------------
% 12.31/2.09 % (1230078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230078)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230078)Termination reason: Instruction limit
% 12.31/2.09 % (1230078)Termination phase: Saturation
% 12.31/2.09 % (1230078)Time elapsed: 0.120 s
% 12.31/2.09 % (1230078)Peak memory usage: 13 MB
% 12.31/2.09 % (1230078)Instructions burned: 131 (million)
% 12.31/2.09 % (1230088)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3833291678:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 12.31/2.09 % (1230089)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2093587166:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 12.31/2.09 % (1230080)Instruction limit reached!
% 12.31/2.09 % (1230080)------------------------------
% 12.31/2.09 % (1230080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230080)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230080)Termination reason: Instruction limit
% 12.31/2.09 % (1230080)Termination phase: Saturation
% 12.31/2.09 % (1230080)Time elapsed: 0.157 s
% 12.31/2.09 % (1230080)Peak memory usage: 13 MB
% 12.31/2.09 % (1230080)Instructions burned: 181 (million)
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230092)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=1020932732: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)
% 12.31/2.09 % (1230093)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1458001751:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 12.31/2.09 % (1230092)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.31/2.09 % (1230093)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.31/2.09 % (1230083)Instruction limit reached!
% 12.31/2.09 % (1230083)------------------------------
% 12.31/2.09 % (1230083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230083)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230083)Termination reason: Instruction limit
% 12.31/2.09 % (1230083)Termination phase: Saturation
% 12.31/2.09 % (1230083)Time elapsed: 0.433 s
% 12.31/2.09 % (1230083)Peak memory usage: 14 MB
% 12.31/2.09 % (1230083)Instructions burned: 477 (million)
% 12.31/2.09 % (1230096)fmb+10_1_sil=64000:random_seed=2675238436:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 12.31/2.09 % (1230096)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230079)Instruction limit reached!
% 12.31/2.09 % (1230079)------------------------------
% 12.31/2.09 % (1230079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230079)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230079)Termination reason: Instruction limit
% 12.31/2.09 % (1230079)Termination phase: Saturation
% 12.31/2.09 % (1230079)Time elapsed: 0.602 s
% 12.31/2.09 % (1230079)Peak memory usage: 16 MB
% 12.31/2.09 % (1230079)Instructions burned: 684 (million)
% 12.31/2.09 % (1230098)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1397562481:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 12.31/2.09 % (1230099)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2806904664:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230102)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3808662181:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 12.31/2.09 % (1230103)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2564538548:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 12.31/2.09 % (1230102)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.31/2.09 % (1230103)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.31/2.09 % (1230103)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.31/2.09 % (1230092)Instruction limit reached!
% 12.31/2.09 % (1230092)------------------------------
% 12.31/2.09 % (1230092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230092)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230092)Termination reason: Instruction limit
% 12.31/2.09 % (1230092)Termination phase: Saturation
% 12.31/2.09 % (1230092)Time elapsed: 0.603 s
% 12.31/2.09 % (1230092)Peak memory usage: 16 MB
% 12.31/2.09 % (1230092)Instructions burned: 692 (million)
% 12.31/2.09 % (1230106)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3414126869:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230111)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3432703161:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230113)ott-2_1_sil=16000:newcnf=on:random_seed=65899932:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 12.31/2.09 % (1230093)Instruction limit reached!
% 12.31/2.09 % (1230093)------------------------------
% 12.31/2.09 % (1230093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230093)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230093)Termination reason: Instruction limit
% 12.31/2.09 % (1230093)Termination phase: Saturation
% 12.31/2.09 % (1230093)Time elapsed: 0.702 s
% 12.31/2.09 % (1230093)Peak memory usage: 18 MB
% 12.31/2.09 % (1230093)Instructions burned: 881 (million)
% 12.31/2.09 % (1230113)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.31/2.09 % (1230115)ott+10_1_sil=32000:tgt=ground:random_seed=4022012176:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 12.31/2.09 % (1230088)Instruction limit reached!
% 12.31/2.09 % (1230088)------------------------------
% 12.31/2.09 % (1230088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230088)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230088)Termination reason: Instruction limit
% 12.31/2.09 % (1230088)Termination phase: Saturation
% 12.31/2.09 % (1230088)Time elapsed: 0.854 s
% 12.31/2.09 % (1230088)Peak memory usage: 20 MB
% 12.31/2.09 % (1230088)Instructions burned: 1182 (million)
% 12.31/2.09 % (1230127)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1589240982:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 12.31/2.09 % Exception at run slice level
% 12.31/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.31/2.09 % (1230147)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=614888584:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 12.31/2.09 % (1230147)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.31/2.09 % (1230113)Instruction limit reached!
% 12.31/2.09 % (1230113)------------------------------
% 12.31/2.09 % (1230113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230113)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230113)Termination reason: Instruction limit
% 12.31/2.09 % (1230113)Termination phase: Saturation
% 12.31/2.09 % (1230113)Time elapsed: 0.414 s
% 12.31/2.09 % (1230113)Peak memory usage: 16 MB
% 12.31/2.09 % (1230113)Instructions burned: 871 (million)
% 12.31/2.09 % (1230231)dis+21_1_sil=32000:sas=cadical:random_seed=3261593368:i=3773:amm=off_2984 on theBenchmark for (2984ds/3773Mi)
% 12.31/2.09 % (1230103)Instruction limit reached!
% 12.31/2.09 % (1230103)------------------------------
% 12.31/2.09 % (1230103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230103)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230103)Termination reason: Instruction limit
% 12.31/2.09 % (1230103)Termination phase: Saturation
% 12.31/2.09 % (1230103)Time elapsed: 0.746 s
% 12.31/2.09 % (1230103)Peak memory usage: 19 MB
% 12.31/2.09 % (1230103)Instructions burned: 1473 (million)
% 12.31/2.09 % (1230275)ott+11_1_sil=16000:gs=on:random_seed=1229949124:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2983 on theBenchmark for (2983ds/2251Mi)
% 12.31/2.09 % (1230275)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.31/2.09 % (1230275) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1230057-1230275"...
% 12.31/2.09 % (1230275)...printing done.
% 12.31/2.09 % (1230275)Refutation found. Thanks to Tanya!
% 12.31/2.09 % SZS status Theorem for theBenchmark
% 12.31/2.09 % SZS output start Proof for theBenchmark
% 12.31/2.09 thf(type_def_5, type, set: $tType > $tType).
% 12.31/2.09 thf(type_def_6, type, a: $tType).
% 12.31/2.09 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 12.31/2.09 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 12.31/2.09 thf(func_def_1, type, order: !>[X0: $tType]:($o)).
% 12.31/2.09 thf(func_def_2, type, semilattice_inf: !>[X0: $tType]:($o)).
% 12.31/2.09 thf(func_def_3, type, condit2040224947_above: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 12.31/2.09 thf(func_def_4, type, condit1201339847_below: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 12.31/2.09 thf(func_def_5, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 12.31/2.09 thf(func_def_6, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 12.31/2.09 thf(func_def_7, type, abel_semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 12.31/2.09 thf(func_def_8, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 12.31/2.09 thf(func_def_9, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_10, type, semilattice: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 12.31/2.09 thf(func_def_11, type, lattic1263571978nf_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 12.31/2.09 thf(func_def_12, type, lattic35693393ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 12.31/2.09 thf(func_def_13, type, lattic1039401930up_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 12.31/2.09 thf(func_def_14, type, modula105138637_a_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_15, type, modula477145868_b_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_16, type, modula849153099_c_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_17, type, modula1221160330_d_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_18, type, modula1593167561_e_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_19, type, modula1937309406incomp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 12.31/2.09 thf(func_def_20, type, bot_bot: !>[X0: $tType]:(X0)).
% 12.31/2.09 thf(func_def_21, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_22, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_23, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 12.31/2.09 thf(func_def_24, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 12.31/2.09 thf(func_def_25, type, greatest: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_26, type, antimono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 12.31/2.09 thf(func_def_27, type, mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 12.31/2.09 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 12.31/2.09 thf(func_def_29, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 12.31/2.09 thf(func_def_30, type, set_atLeast: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 12.31/2.09 thf(func_def_31, type, set_atMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 12.31/2.09 thf(func_def_32, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 12.31/2.09 thf(func_def_33, type, a2: a).
% 12.31/2.09 thf(func_def_34, type, b: a).
% 12.31/2.09 thf(func_def_35, type, c: a).
% 12.31/2.09 thf(func_def_36, type, inf: (a > a > a)).
% 12.31/2.09 thf(func_def_37, type, less_eq: (a > a > $o)).
% 12.31/2.09 thf(func_def_38, type, sup: (a > a > a)).
% 12.31/2.09 thf(func_def_40, type, db0: !>[X0: $tType]:(X0)).
% 12.31/2.09 thf(func_def_41, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 12.31/2.09 thf(func_def_44, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 12.31/2.09 thf(func_def_45, type, db1: !>[X0: $tType]:(X0)).
% 12.31/2.09 thf(func_def_46, type, vAND: ($o > $o > $o)).
% 12.31/2.09 thf(func_def_47, type, vNOT: ($o > $o)).
% 12.31/2.09 thf(func_def_48, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 12.31/2.09 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 12.31/2.09 thf(func_def_50, type, vIMP: ($o > $o > $o)).
% 12.31/2.09 thf(func_def_51, type, db3: !>[X0: $tType]:(X0)).
% 12.31/2.09 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 12.31/2.09 thf(func_def_53, type, sP0: ((a > a > a) > $o)).
% 12.31/2.09 thf(func_def_54, type, sP1: ((a > a > a) > $o)).
% 12.31/2.09 thf(func_def_55, type, sP2: ((a > $o) > (a > $o) > $o)).
% 12.31/2.09 thf(func_def_56, type, sP3: ((a > $o) > a > $o)).
% 12.31/2.09 thf(func_def_57, type, sP4: ((a > $o) > a > $o)).
% 12.31/2.09 thf(func_def_58, type, sP5: ((a > $o) > (a > $o) > $o)).
% 12.31/2.09 thf(func_def_59, type, sP6: (a > set @ a > $o)).
% 12.31/2.09 thf(func_def_60, type, sP7: (a > set @ a > $o)).
% 12.31/2.09 thf(func_def_61, type, sK8: a).
% 12.31/2.09 thf(func_def_62, type, sK9: a).
% 12.31/2.09 thf(func_def_63, type, sK10: a).
% 12.31/2.09 thf(func_def_64, type, sK11: a).
% 12.31/2.09 thf(func_def_65, type, sK12: a).
% 12.31/2.09 thf(func_def_66, type, sK13: a).
% 12.31/2.09 thf(func_def_67, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_68, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 12.31/2.09 thf(func_def_69, type, sK16: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_70, type, sK17: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_71, type, sK18: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_72, type, sK19: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_73, type, sK20: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_74, type, sK21: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_75, type, sK22: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_76, type, sK23: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_77, type, sK24: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_78, type, sK25: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_79, type, sK26: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_80, type, sK27: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_81, type, sK28: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_82, type, sK29: ((a > a > a) > a)).
% 12.31/2.09 thf(func_def_83, type, sK30: ((a > $o) > (a > $o) > a)).
% 12.31/2.09 thf(func_def_84, type, sK31: (a > (a > $o) > a)).
% 12.31/2.09 thf(func_def_85, type, sK32: (a > (a > $o) > a)).
% 12.31/2.09 thf(func_def_86, type, sK33: ((a > $o) > a > a)).
% 12.31/2.09 thf(func_def_87, type, sK34: (a > (a > $o) > a)).
% 12.31/2.09 thf(func_def_88, type, sK35: ((a > $o) > a > a)).
% 12.31/2.09 thf(func_def_89, type, sK36: (a > (a > $o) > a)).
% 12.31/2.09 thf(func_def_90, type, sK37: ((a > $o) > (a > $o) > a)).
% 12.31/2.09 thf(func_def_91, type, sK38: (a > (a > $o) > a)).
% 12.31/2.09 thf(func_def_92, type, sK39: (a > (a > $o) > a)).
% 12.31/2.09 thf(func_def_93, type, sK40: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_94, type, sK41: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_95, type, sK42: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 12.31/2.09 thf(func_def_96, type, sK43: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 12.31/2.09 thf(func_def_97, type, sK44: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 12.31/2.09 thf(func_def_98, type, sK45: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_99, type, sK46: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_100, type, sK47: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_101, type, sK48: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_102, type, sK49: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_103, type, sK50: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_104, type, sK51: (set @ a > a)).
% 12.31/2.09 thf(func_def_105, type, sK52: (set @ a > a)).
% 12.31/2.09 thf(func_def_106, type, sK53: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_107, type, sK54: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_108, type, sK55: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 12.31/2.09 thf(func_def_109, type, sK56: !>[X0: $tType]:((set @ X0 > X0))).
% 12.31/2.09 thf(func_def_110, type, sK57: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_111, type, sK58: a).
% 12.31/2.09 thf(func_def_112, type, sK59: a).
% 12.31/2.09 thf(func_def_113, type, sK60: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_114, type, sK61: !>[X0: $tType]:((set @ X0 > X0))).
% 12.31/2.09 thf(func_def_115, type, sK62: !>[X0: $tType]:(((X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_116, type, sK63: !>[X0: $tType]:(((X0 > $o) > X0))).
% 12.31/2.09 thf(func_def_117, type, sK64: !>[X0: $tType]:((set @ X0 > X0))).
% 12.31/2.09 thf(func_def_118, type, sK65: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_119, type, sK66: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_120, type, sK67: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_121, type, sK68: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_122, type, sK69: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_123, type, sK70: !>[X0: $tType]:(((a > X0) > a))).
% 12.31/2.09 thf(func_def_124, type, sK71: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 12.31/2.09 thf(func_def_125, type, sK72: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 12.31/2.09 thf(func_def_126, type, sK73: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 12.31/2.09 thf(func_def_127, type, sK74: (set @ a > a)).
% 12.31/2.09 thf(func_def_128, type, sK75: (a > set @ a > a)).
% 12.31/2.09 thf(func_def_129, type, sK76: (set @ a > a)).
% 12.31/2.09 thf(func_def_130, type, sK77: (a > set @ a > a)).
% 12.31/2.09 thf(f15,axiom,(
% 12.31/2.09 ! [X0 : a,X1 : a,X2 : a] : (((sup @ X0 @ (modula1221160330_d_aux @ a @ inf @ sup @ X0 @ X1 @ X2))) = ((sup @ X0 @ (inf @ X1 @ X2))))),
% 12.31/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_local_Oa__join__d)).
% 12.31/2.09 thf(f94,axiom,(
% 12.31/2.09 ! [X0 : a,X1 : a] : (less_eq @ (inf @ X0 @ X1) @ X1)),
% 12.31/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_local_Oinf_Ocobounded2)).
% 12.31/2.09 thf(f128,axiom,(
% 12.31/2.09 ! [X0 : a,X1 : a,X2 : a] : ((less_eq @ X0 @ X1) => (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 12.31/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_local_Omodular)).
% 12.31/2.09 thf(f263,conjecture,(
% 12.31/2.09 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) = ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 12.31/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 12.31/2.09 thf(f264,negated_conjecture,(
% 12.31/2.09 ~ (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) = ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 12.31/2.09 inference(negated_conjecture,[status(cth)],[f263])).
% 12.31/2.09 thf(f347,plain,(
% 12.31/2.09 ! [X0 : a,X1 : a] : (less_eq @ (inf @ X0 @ X1) @ X1)),
% 12.31/2.09 inference(rectify,[],[f94])).
% 12.31/2.09 thf(f348,plain,(
% 12.31/2.09 ! [X0 : a,X1 : a] : (((less_eq @ (inf @ X0 @ X1) @ X1)) = $true)),
% 12.31/2.09 inference(fool_elimination,[],[f347])).
% 12.31/2.09 thf(f409,plain,(
% 12.31/2.09 ! [X0 : a,X1 : a,X2 : a] : ((less_eq @ X0 @ X1) => (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 12.31/2.09 inference(rectify,[],[f128])).
% 12.31/2.09 thf(f410,plain,(
% 12.31/2.09 ! [X0 : a,X1 : a,X2 : a] : ((((less_eq @ X0 @ X1)) = $true) => (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 12.31/2.09 inference(fool_elimination,[],[f409])).
% 12.31/2.09 thf(f667,plain,(
% 12.31/2.09 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 12.31/2.09 inference(flattening,[],[f264])).
% 12.31/2.09 thf(f736,plain,(
% 12.31/2.09 ! [X0 : a,X1 : a,X2 : a] : ((((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))) | (((less_eq @ X0 @ X1)) != $true))),
% 12.31/2.09 inference(ennf_transformation,[],[f410])).
% 12.31/2.09 thf(f946,plain,(
% 12.31/2.09 ( ! [X2 : a,X0 : a,X1 : a] : ((((sup @ X0 @ (inf @ X1 @ X2))) = ((sup @ X0 @ (modula1221160330_d_aux @ a @ inf @ sup @ X0 @ X1 @ X2))))) )),
% 12.31/2.09 inference(cnf_transformation,[],[f15])).
% 12.31/2.09 thf(f1029,plain,(
% 12.31/2.09 ( ! [X0 : a,X1 : a] : ((((less_eq @ (inf @ X0 @ X1) @ X1)) = $true)) )),
% 12.31/2.09 inference(cnf_transformation,[],[f348])).
% 12.31/2.09 thf(f1069,plain,(
% 12.31/2.09 ( ! [X2 : a,X0 : a,X1 : a] : ((((less_eq @ X0 @ X1)) != $true) | (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2))))) )),
% 12.31/2.09 inference(cnf_transformation,[],[f736])).
% 12.31/2.09 thf(f1241,plain,(
% 12.31/2.09 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 12.31/2.09 inference(cnf_transformation,[],[f667])).
% 12.31/2.09 thf(f1909,plain,(
% 12.31/2.09 ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | (((sup @ (inf @ X0 @ X1) @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ (inf @ X0 @ X1) @ X2))))) )),
% 12.31/2.09 inference(constrained_superposition,[],[f1069,f1029])).
% 12.31/2.09 thf(f1912,plain,(
% 12.31/2.09 ( ! [X2 : a,X0 : a,X1 : a] : ((((sup @ (inf @ X0 @ X1) @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ (inf @ X0 @ X1) @ X2))))) )),
% 12.31/2.09 inference(trivial_inequality_removal,[],[f1909])).
% 12.31/2.09 thf(f2200,plain,(
% 12.31/2.09 (((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (inf @ b @ c))))) != ((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (inf @ b @ c))))))),
% 12.31/2.09 inference(constrained_superposition,[],[f1241,f946])).
% 12.31/2.09 thf(f2201,plain,(
% 12.31/2.09 (((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (inf @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (inf @ b @ c))))))),
% 12.31/2.09 inference(forward_demodulation,[],[f2200,f1912])).
% 12.31/2.09 thf(f2202,plain,(
% 12.31/2.09 $false),
% 12.31/2.09 inference(trivial_inequality_removal,[],[f2201])).
% 12.31/2.09 % SZS output end Proof for theBenchmark
% 12.31/2.09 % (1230275)------------------------------
% 12.31/2.09 % (1230275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.31/2.09 % (1230275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.09 % (1230275)CaDiCaL version: 2.1.3
% 12.31/2.09 % (1230275)Termination reason: Refutation
% 12.31/2.09 % (1230275)Time elapsed: 0.113 s
% 12.31/2.09 % (1230275)Peak memory usage: 14 MB
% 12.31/2.09 % (1230275)Instructions burned: 231 (million)
% 12.31/2.09 % (1230057)Success in time 1.81 s
% 12.31/2.09 % Vampire exiting
%------------------------------------------------------------------------------