%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP123^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:47 AM UTC 2026
% Result : Theorem 8.23s 1.47s
% Output : Refutation 8.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP123^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n013.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 19:56:21 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 4.28/0.91 % (2587294)Will run a generic schedule for satisfiability detection.
% 4.28/0.91 % (2587305)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=400545896:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.28/0.91 % (2587300)% WARNING: option uhcvi not known.
% 4.28/0.91 % (2587300)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2824246968:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.28/0.91 % (2587299)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2409764500_2999 on theBenchmark for (2999ds/0Mi)
% 4.28/0.91 % (2587301)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3430935084:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.28/0.91 % (2587303)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=146736936:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.28/0.91 % (2587304)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3155575969:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.28/0.91 % (2587300)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.28/0.91 % (2587303)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.28/0.91 % (2587302)dis+10_1_sil=32000:sp=arity:random_seed=443143532:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.28/0.91 % (2587300)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.28/0.91 % Exception at run slice level
% 4.28/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.28/0.91 % (2587305)Instruction limit reached!
% 4.28/0.91 % (2587305)------------------------------
% 4.28/0.91 % (2587305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.91 % (2587305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.91 % (2587305)CaDiCaL version: 2.1.3
% 4.28/0.91 % (2587305)Termination reason: Instruction limit
% 4.28/0.91 % (2587305)Termination phase: Saturation
% 4.28/0.91 % (2587305)Time elapsed: 0.040 s
% 4.28/0.91 % (2587305)Peak memory usage: 13 MB
% 4.28/0.91 % (2587305)Instructions burned: 160 (million)
% 4.28/0.91 % (2587314)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2683238252:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.28/0.91 % (2587313)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=192774780:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.28/0.91 % (2587303)Instruction limit reached!
% 4.28/0.91 % (2587303)------------------------------
% 4.28/0.91 % (2587303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.91 % (2587303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.91 % (2587303)CaDiCaL version: 2.1.3
% 4.28/0.91 % (2587303)Termination reason: Instruction limit
% 4.28/0.91 % (2587303)Termination phase: Saturation
% 4.28/0.91 % (2587303)Time elapsed: 0.054 s
% 4.28/0.91 % (2587303)Peak memory usage: 13 MB
% 4.28/0.91 % (2587303)Instructions burned: 118 (million)
% 4.28/0.91 % (2587304)Instruction limit reached!
% 4.28/0.91 % (2587304)------------------------------
% 4.28/0.91 % (2587304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.91 % (2587304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.91 % (2587304)CaDiCaL version: 2.1.3
% 4.28/0.91 % (2587304)Termination reason: Instruction limit
% 4.28/0.91 % (2587304)Termination phase: Saturation
% 4.28/0.91 % (2587304)Time elapsed: 0.061 s
% 4.28/0.91 % (2587304)Peak memory usage: 13 MB
% 4.28/0.91 % (2587304)Instructions burned: 132 (million)
% 4.28/0.91 % Exception at run slice level
% 4.28/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.28/0.91 % (2587317)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=595939711:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.28/0.91 % (2587314)Instruction limit reached!
% 4.28/0.91 % (2587314)------------------------------
% 4.28/0.91 % (2587314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.91 % (2587314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.91 % (2587314)CaDiCaL version: 2.1.3
% 4.28/0.91 % (2587314)Termination reason: Instruction limit
% 8.23/1.47 % (2587314)Termination phase: Saturation
% 8.23/1.47 % (2587314)Time elapsed: 0.033 s
% 8.23/1.47 % (2587314)Peak memory usage: 13 MB
% 8.23/1.47 % (2587314)Instructions burned: 134 (million)
% 8.23/1.47 % (2587318)ott-21_1_sil=16000:fs=off:random_seed=2740747034:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.23/1.47 % (2587317)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.23/1.47 % (2587319)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=733060951:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.23/1.47 % (2587321)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2354912915:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.23/1.47 % (2587302)Instruction limit reached!
% 8.23/1.47 % (2587302)------------------------------
% 8.23/1.47 % (2587302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587302)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587302)Termination reason: Instruction limit
% 8.23/1.47 % (2587302)Termination phase: Saturation
% 8.23/1.47 % (2587302)Time elapsed: 0.087 s
% 8.23/1.47 % (2587302)Peak memory usage: 12 MB
% 8.23/1.47 % (2587302)Instructions burned: 103 (million)
% 8.23/1.47 % (2587317)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.23/1.47 % (2587325)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=449578392:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587327)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4217769491:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.23/1.47 % (2587318)Instruction limit reached!
% 8.23/1.47 % (2587318)------------------------------
% 8.23/1.47 % (2587318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587318)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587318)Termination reason: Instruction limit
% 8.23/1.47 % (2587318)Termination phase: Saturation
% 8.23/1.47 % (2587318)Time elapsed: 0.082 s
% 8.23/1.47 % (2587318)Peak memory usage: 13 MB
% 8.23/1.47 % (2587318)Instructions burned: 181 (million)
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587329)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=513316625:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 8.23/1.47 % (2587330)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=967907734:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 8.23/1.47 % (2587329)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.23/1.47 % (2587330)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.23/1.47 % (2587319)Instruction limit reached!
% 8.23/1.47 % (2587319)------------------------------
% 8.23/1.47 % (2587319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587319)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587319)Termination reason: Instruction limit
% 8.23/1.47 % (2587319)Termination phase: Saturation
% 8.23/1.47 % (2587319)Time elapsed: 0.291 s
% 8.23/1.47 % (2587319)Peak memory usage: 14 MB
% 8.23/1.47 % (2587319)Instructions burned: 478 (million)
% 8.23/1.47 % (2587333)fmb+10_1_sil=64000:random_seed=874459309:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 8.23/1.47 % (2587325)Instruction limit reached!
% 8.23/1.47 % (2587325)------------------------------
% 8.23/1.47 % (2587325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587325)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587325)Termination reason: Instruction limit
% 8.23/1.47 % (2587325)Termination phase: Saturation
% 8.23/1.47 % (2587325)Time elapsed: 0.294 s
% 8.23/1.47 % (2587325)Peak memory usage: 20 MB
% 8.23/1.47 % (2587325)Instructions burned: 1180 (million)
% 8.23/1.47 % (2587335)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2316492332:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 8.23/1.47 % (2587333)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587338)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2107589450:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 8.23/1.47 % (2587337)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2275625214:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 8.23/1.47 % (2587338)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587317)Instruction limit reached!
% 8.23/1.47 % (2587317)------------------------------
% 8.23/1.47 % (2587317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587317)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587317)Termination reason: Instruction limit
% 8.23/1.47 % (2587317)Termination phase: Saturation
% 8.23/1.47 % (2587317)Time elapsed: 0.404 s
% 8.23/1.47 % (2587317)Peak memory usage: 16 MB
% 8.23/1.47 % (2587317)Instructions burned: 684 (million)
% 8.23/1.47 % (2587341)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1285689984:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 8.23/1.47 % (2587342)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2246173142:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 8.23/1.47 % (2587341)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.23/1.47 % (2587341)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587345)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4009550288:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587347)ott-2_1_sil=16000:newcnf=on:random_seed=3147625879:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 8.23/1.47 % (2587347)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.23/1.47 % (2587329)Instruction limit reached!
% 8.23/1.47 % (2587329)------------------------------
% 8.23/1.47 % (2587329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587329)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587329)Termination reason: Instruction limit
% 8.23/1.47 % (2587329)Termination phase: Saturation
% 8.23/1.47 % (2587329)Time elapsed: 0.428 s
% 8.23/1.47 % (2587329)Peak memory usage: 16 MB
% 8.23/1.47 % (2587329)Instructions burned: 692 (million)
% 8.23/1.47 % (2587330)Instruction limit reached!
% 8.23/1.47 % (2587330)------------------------------
% 8.23/1.47 % (2587330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587330)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587330)Termination reason: Instruction limit
% 8.23/1.47 % (2587330)Termination phase: Saturation
% 8.23/1.47 % (2587330)Time elapsed: 0.421 s
% 8.23/1.47 % (2587330)Peak memory usage: 17 MB
% 8.23/1.47 % (2587330)Instructions burned: 880 (million)
% 8.23/1.47 % (2587349)ott+10_1_sil=32000:tgt=ground:random_seed=1336955787:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 8.23/1.47 % (2587350)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2559236278:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 8.23/1.47 % Exception at run slice level
% 8.23/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.23/1.47 % (2587353)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1640177954:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 8.23/1.47 % (2587353)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.23/1.47 % (2587347)Instruction limit reached!
% 8.23/1.47 % (2587347)------------------------------
% 8.23/1.47 % (2587347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587347)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587347)Termination reason: Instruction limit
% 8.23/1.47 % (2587347)Termination phase: Saturation
% 8.23/1.47 % (2587347)Time elapsed: 0.416 s
% 8.23/1.47 % (2587347)Peak memory usage: 17 MB
% 8.23/1.47 % (2587347)Instructions burned: 871 (million)
% 8.23/1.47 % (2587358)dis+21_1_sil=32000:sas=cadical:random_seed=4290625970:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 8.23/1.47 % (2587349) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2587294-2587349"...
% 8.23/1.47 % (2587349)...printing done.
% 8.23/1.47 % (2587349)Refutation found. Thanks to Tanya!
% 8.23/1.47 % SZS status Theorem for theBenchmark
% 8.23/1.47 % SZS output start Proof for theBenchmark
% 8.23/1.47 thf(type_def_5, type, set: $tType > $tType).
% 8.23/1.47 thf(type_def_6, type, a: $tType).
% 8.23/1.47 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 8.23/1.47 thf(func_def_0, type, condit2040224947_above: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 8.23/1.47 thf(func_def_1, type, condit1201339847_below: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 8.23/1.47 thf(func_def_2, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 8.23/1.47 thf(func_def_3, type, abel_semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 8.23/1.47 thf(func_def_4, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 8.23/1.47 thf(func_def_5, type, lattice: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > (X0 > X0 > X0) > $o))).
% 8.23/1.47 thf(func_def_6, type, semilattice: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 8.23/1.47 thf(func_def_7, type, semilattice_order: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 8.23/1.47 thf(func_def_8, type, lattices_is_arg_max: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1 > $o))).
% 8.23/1.47 thf(func_def_9, type, lattices_is_arg_min: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1 > $o))).
% 8.23/1.47 thf(func_def_10, type, lattic1693879045er_set: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 8.23/1.47 thf(func_def_11, type, lattic35693393ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 8.23/1.47 thf(func_def_12, type, modula1618706180attice: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > X0) > X0 > X0 > X0 > $o))).
% 8.23/1.47 thf(func_def_13, type, modula1192512645attice: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > X0) > X0 > X0 > X0 > $o))).
% 8.23/1.47 thf(func_def_14, type, modula105138637_a_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_15, type, modula477145868_b_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_16, type, modula849153099_c_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_17, type, modula1221160330_d_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_18, type, modula1593167561_e_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_19, type, modula1937309406incomp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 8.23/1.47 thf(func_def_20, type, modula141148890istrib: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > $o) > (X0 > X0 > X0) > X0 > X0 > X0 > $o))).
% 8.23/1.47 thf(func_def_21, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 8.23/1.47 thf(func_def_22, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_23, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 8.23/1.47 thf(func_def_24, type, greatest: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 8.23/1.47 thf(func_def_25, type, ordering: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 8.23/1.47 thf(func_def_26, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 8.23/1.47 thf(func_def_27, type, set_gr1161524159ssThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 8.23/1.47 thf(func_def_28, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 8.23/1.47 thf(func_def_29, type, inf: (a > a > a)).
% 8.23/1.47 thf(func_def_30, type, less: (a > a > $o)).
% 8.23/1.47 thf(func_def_31, type, less_eq: (a > a > $o)).
% 8.23/1.47 thf(func_def_32, type, sup: (a > a > a)).
% 8.23/1.47 thf(func_def_33, type, x: a).
% 8.23/1.47 thf(func_def_34, type, y: a).
% 8.23/1.47 thf(func_def_35, type, z: a).
% 8.23/1.47 thf(func_def_39, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.23/1.47 thf(func_def_40, type, db1: !>[X0: $tType]:(X0)).
% 8.23/1.47 thf(func_def_41, type, db0: !>[X0: $tType]:(X0)).
% 8.23/1.47 thf(func_def_42, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 8.23/1.47 thf(func_def_43, type, vAND: ($o > $o > $o)).
% 8.23/1.47 thf(func_def_44, type, vNOT: ($o > $o)).
% 8.23/1.47 thf(func_def_45, type, vOR: ($o > $o > $o)).
% 8.23/1.47 thf(func_def_46, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.23/1.47 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.23/1.47 thf(func_def_48, type, db3: !>[X0: $tType]:(X0)).
% 8.23/1.47 thf(func_def_49, type, db2: !>[X0: $tType]:(X0)).
% 8.23/1.47 thf(func_def_50, type, db4: !>[X0: $tType]:(X0)).
% 8.23/1.47 thf(func_def_51, type, vIMP: ($o > $o > $o)).
% 8.23/1.47 thf(func_def_52, type, sK0: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 8.23/1.47 thf(func_def_53, type, sK1: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 8.23/1.47 thf(func_def_54, type, sK2: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_55, type, sK3: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_56, type, sK4: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_57, type, sK5: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_58, type, sK6: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_59, type, sK7: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_60, type, sK8: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_61, type, sK9: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_62, type, sK10: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_63, type, sK11: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_64, type, sK12: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_65, type, sK13: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_66, type, sK14: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_67, type, sK15: ((a > a > a) > a)).
% 8.23/1.47 thf(func_def_68, type, sK16: a).
% 8.23/1.47 thf(func_def_69, type, sK17: a).
% 8.23/1.47 thf(func_def_70, type, sK18: a).
% 8.23/1.47 thf(func_def_71, type, sK19: a).
% 8.23/1.47 thf(func_def_72, type, sK20: a).
% 8.23/1.47 thf(func_def_73, type, sK21: a).
% 8.23/1.47 thf(func_def_74, type, sK22: ((a > $o) > (a > $o) > a)).
% 8.23/1.47 thf(func_def_75, type, sK23: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_76, type, sK24: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_77, type, sK25: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_78, type, sK26: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_79, type, sK27: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_80, type, sK28: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_81, type, sK29: ((a > $o) > (a > $o) > a)).
% 8.23/1.47 thf(func_def_82, type, sK30: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_83, type, sK31: (a > (a > $o) > a)).
% 8.23/1.47 thf(func_def_84, type, sK32: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 8.23/1.47 thf(func_def_85, type, sK33: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 8.23/1.47 thf(func_def_86, type, sK34: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 8.23/1.47 thf(func_def_87, type, sK35: (a > set @ a > a)).
% 8.23/1.47 thf(func_def_88, type, sK36: (a > set @ a > a)).
% 8.23/1.47 thf(func_def_89, type, sF37: a).
% 8.23/1.47 thf(func_def_90, type, sF38: a).
% 8.23/1.47 thf(func_def_91, type, sF39: a).
% 8.23/1.47 thf(func_def_92, type, sF40: $o).
% 8.23/1.47 thf(func_def_93, type, sK41: (set @ a > a)).
% 8.23/1.47 thf(func_def_94, type, sK42: (a > set @ a > a)).
% 8.23/1.47 thf(func_def_95, type, sK43: (set @ a > a)).
% 8.23/1.47 thf(func_def_96, type, sK44: (a > set @ a > a)).
% 8.23/1.47 thf(func_def_97, type, sK45: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 8.23/1.47 thf(func_def_98, type, sK46: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 8.23/1.47 thf(func_def_99, type, sK47: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 8.23/1.47 thf(func_def_100, type, sK48: !>[X0: $tType]:((X0 > (X0 > a) > (X0 > $o) > X0))).
% 8.23/1.47 thf(func_def_101, type, sK49: !>[X0: $tType]:((X0 > (X0 > a) > (X0 > $o) > X0))).
% 8.23/1.47 thf(func_def_102, type, sK50: !>[X0: $tType]:((X0 > (X0 > a) > (X0 > $o) > X0))).
% 8.23/1.47 thf(func_def_103, type, sK51: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 8.23/1.47 thf(func_def_104, type, sK52: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 8.23/1.47 thf(func_def_105, type, sK53: !>[X0: $tType]:(((X0 > a) > (X0 > $o) > X0 > X0))).
% 8.23/1.47 thf(f43,axiom,(
% 8.23/1.47 ! [X0 : a,X1 : a] : (((sup @ X0 @ X1)) = ((sup @ X1 @ X0)))),
% 8.23/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_local_Osup__commute)).
% 8.23/1.47 thf(f69,axiom,(
% 8.23/1.47 ! [X0 : a,X1 : a] : ((less @ X0 @ X1) => (less_eq @ X0 @ X1))),
% 8.23/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_local_Oorder_Ostrict__implies__order)).
% 8.23/1.47 thf(f131,axiom,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((less @ (sup @ X0 @ X1) @ X2) => ~((less @ X0 @ X2) => ~(less @ X1 @ X2)))),
% 8.23/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_local_Osup_Ostrict__boundedE)).
% 8.23/1.47 thf(f133,axiom,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((less @ X0 @ X1) => (less @ X0 @ (sup @ X2 @ X1)))),
% 8.23/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_local_Osup_Ostrict__coboundedI2)).
% 8.23/1.47 thf(f260,axiom,(
% 8.23/1.47 (less @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z)))),
% 8.23/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 8.23/1.47 thf(f261,conjecture,(
% 8.23/1.47 (less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))),
% 8.23/1.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4)).
% 8.23/1.47 thf(f262,negated_conjecture,(
% 8.23/1.47 ~(less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))),
% 8.23/1.47 inference(negated_conjecture,[status(cth)],[f261])).
% 8.23/1.47 thf(f369,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a] : ((less @ X0 @ X1) => (less_eq @ X0 @ X1))),
% 8.23/1.47 inference(rectify,[],[f69])).
% 8.23/1.47 thf(f370,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a] : ((((less @ X0 @ X1)) = $true) => (((less_eq @ X0 @ X1)) = $true))),
% 8.23/1.47 inference(fool_elimination,[],[f369])).
% 8.23/1.47 thf(f484,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((less @ (sup @ X0 @ X1) @ X2) => ~((less @ X0 @ X2) => ~(less @ X1 @ X2)))),
% 8.23/1.47 inference(rectify,[],[f131])).
% 8.23/1.47 thf(f485,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((((less @ (sup @ X0 @ X1) @ X2)) = $true) => ~((((less @ X0 @ X2)) = $true) => ~ (((less @ X1 @ X2)) = $true)))),
% 8.23/1.47 inference(fool_elimination,[],[f484])).
% 8.23/1.47 thf(f488,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((less @ X0 @ X1) => (less @ X0 @ (sup @ X2 @ X1)))),
% 8.23/1.47 inference(rectify,[],[f133])).
% 8.23/1.47 thf(f489,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((((less @ X0 @ X1)) = $true) => (((less @ X0 @ (sup @ X2 @ X1))) = $true))),
% 8.23/1.47 inference(fool_elimination,[],[f488])).
% 8.23/1.47 thf(f650,plain,(
% 8.23/1.47 (less @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z)))),
% 8.23/1.47 inference(rectify,[],[f260])).
% 8.23/1.47 thf(f651,plain,(
% 8.23/1.47 (((less @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z)))) = $true)),
% 8.23/1.47 inference(fool_elimination,[],[f650])).
% 8.23/1.47 thf(f652,plain,(
% 8.23/1.47 ~(less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))),
% 8.23/1.47 inference(rectify,[],[f262])).
% 8.23/1.47 thf(f653,plain,(
% 8.23/1.47 ~ (((less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))) = $true)),
% 8.23/1.47 inference(fool_elimination,[],[f652])).
% 8.23/1.47 thf(f669,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((((less @ (sup @ X0 @ X1) @ X2)) = $true) => ~((((less @ X0 @ X2)) = $true) => (((less @ X1 @ X2)) != $true)))),
% 8.23/1.47 inference(flattening,[],[f485])).
% 8.23/1.47 thf(f674,plain,(
% 8.23/1.47 (((less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))) != $true)),
% 8.23/1.47 inference(flattening,[],[f653])).
% 8.23/1.47 thf(f739,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a] : ((((less_eq @ X0 @ X1)) = $true) | (((less @ X0 @ X1)) != $true))),
% 8.23/1.47 inference(ennf_transformation,[],[f370])).
% 8.23/1.47 thf(f797,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : (((((less @ X1 @ X2)) = $true) & (((less @ X0 @ X2)) = $true)) | (((less @ (sup @ X0 @ X1) @ X2)) != $true))),
% 8.23/1.47 inference(ennf_transformation,[],[f669])).
% 8.23/1.47 thf(f799,plain,(
% 8.23/1.47 ! [X0 : a,X1 : a,X2 : a] : ((((less @ X0 @ (sup @ X2 @ X1))) = $true) | (((less @ X0 @ X1)) != $true))),
% 8.23/1.47 inference(ennf_transformation,[],[f489])).
% 8.23/1.47 thf(f927,plain,(
% 8.23/1.47 ( ! [X0 : a,X1 : a] : ((((sup @ X0 @ X1)) = ((sup @ X1 @ X0)))) )),
% 8.23/1.47 inference(cnf_transformation,[],[f43])).
% 8.23/1.47 thf(f953,plain,(
% 8.23/1.47 ( ! [X0 : a,X1 : a] : ((((less @ X0 @ X1)) != $true) | (((less_eq @ X0 @ X1)) = $true)) )),
% 8.23/1.47 inference(cnf_transformation,[],[f739])).
% 8.23/1.47 thf(f1024,plain,(
% 8.23/1.47 ( ! [X2 : a,X0 : a,X1 : a] : ((((less @ (sup @ X0 @ X1) @ X2)) != $true) | (((less @ X0 @ X2)) = $true)) )),
% 8.23/1.47 inference(cnf_transformation,[],[f797])).
% 8.23/1.47 thf(f1027,plain,(
% 8.23/1.47 ( ! [X2 : a,X0 : a,X1 : a] : ((((less @ X0 @ X1)) != $true) | (((less @ X0 @ (sup @ X2 @ X1))) = $true)) )),
% 8.23/1.47 inference(cnf_transformation,[],[f799])).
% 8.23/1.47 thf(f1182,plain,(
% 8.23/1.47 (((less @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z)))) = $true)),
% 8.23/1.47 inference(cnf_transformation,[],[f651])).
% 8.23/1.47 thf(f1183,plain,(
% 8.23/1.47 (((less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))) != $true)),
% 8.23/1.47 inference(cnf_transformation,[],[f674])).
% 8.23/1.47 thf(f1218,definition,(
% 8.23/1.47 (sF37 = ((sup @ x @ z)))),
% 8.23/1.47 introduced(definition,[new_symbols(definition,[sF37])],[function_definition])).
% 8.23/1.47 thf(f1219,plain,(
% 8.23/1.47 (((sup @ x @ z)) = sF37)),
% 8.23/1.47 inference(reorient_equations,[],[f1218])).
% 8.23/1.47 thf(f1220,definition,(
% 8.23/1.47 (sF38 = ((inf @ y @ sF37)))),
% 8.23/1.47 introduced(definition,[new_symbols(definition,[sF38])],[function_definition])).
% 8.23/1.47 thf(f1221,plain,(
% 8.23/1.47 (((inf @ y @ sF37)) = sF38)),
% 8.23/1.47 inference(reorient_equations,[],[f1220])).
% 8.23/1.47 thf(f1222,definition,(
% 8.23/1.47 (sF39 = ((sup @ sF38 @ z)))),
% 8.23/1.47 introduced(definition,[new_symbols(definition,[sF39])],[function_definition])).
% 8.23/1.47 thf(f1223,plain,(
% 8.23/1.47 (((sup @ sF38 @ z)) = sF39)),
% 8.23/1.47 inference(reorient_equations,[],[f1222])).
% 8.23/1.47 thf(f1224,definition,(
% 8.23/1.47 (sF40 = ((less_eq @ x @ sF39)))),
% 8.23/1.47 introduced(definition,[new_symbols(definition,[sF40])],[function_definition])).
% 8.23/1.47 thf(f1225,plain,(
% 8.23/1.47 (((less_eq @ x @ sF39)) = sF40)),
% 8.23/1.47 inference(reorient_equations,[],[f1224])).
% 8.23/1.47 thf(f1226,plain,(
% 8.23/1.47 ($true != sF40)),
% 8.23/1.47 inference(definition_folding,[],[f1183,f1225,f1223,f1221,f1219])).
% 8.23/1.47 thf(f1605,plain,(
% 8.23/1.47 ($false = ((less_eq @ x @ sF39))) | ($true = sF40)),
% 8.23/1.47 inference(iff_proxy_clausification,[],[f1225])).
% 8.23/1.47 thf(f1611,plain,(
% 8.23/1.47 (sF39 = ((sup @ z @ sF38)))),
% 8.23/1.47 inference(forward_demodulation,[],[f1223,f927])).
% 8.23/1.47 thf(f1612,plain,(
% 8.23/1.47 ($false = ((less_eq @ x @ sF39)))),
% 8.23/1.47 inference(forward_subsumption_resolution,[],[f1605,f1226])).
% 8.23/1.47 thf(f3784,plain,(
% 8.23/1.47 ($true != $true) | ($true = ((less @ x @ (inf @ y @ (sup @ x @ z)))))),
% 8.23/1.47 inference(constrained_superposition,[],[f1024,f1182])).
% 8.23/1.47 thf(f3797,plain,(
% 8.23/1.47 ($true = ((less @ x @ (inf @ y @ (sup @ x @ z)))))),
% 8.23/1.47 inference(trivial_inequality_removal,[],[f3784])).
% 8.23/1.47 thf(f3815,plain,(
% 8.23/1.47 ($true = ((less @ x @ (inf @ y @ sF37))))),
% 8.23/1.47 inference(forward_demodulation,[],[f3797,f1219])).
% 8.23/1.47 thf(f3835,plain,(
% 8.23/1.47 ($true = ((less @ x @ sF38)))),
% 8.23/1.47 inference(forward_demodulation,[],[f3815,f1221])).
% 8.23/1.47 thf(f3865,plain,(
% 8.23/1.47 ( ! [X0 : a] : (($true != $true) | ($true = ((less @ x @ (sup @ X0 @ sF38))))) )),
% 8.23/1.47 inference(constrained_superposition,[],[f1027,f3835])).
% 8.23/1.47 thf(f3882,plain,(
% 8.23/1.47 ( ! [X0 : a] : (($true = ((less @ x @ (sup @ X0 @ sF38))))) )),
% 8.23/1.47 inference(trivial_inequality_removal,[],[f3865])).
% 8.23/1.47 thf(f6662,plain,(
% 8.23/1.47 ($true = ((less @ x @ sF39)))),
% 8.23/1.47 inference(constrained_superposition,[],[f3882,f1611])).
% 8.23/1.47 thf(f6796,plain,(
% 8.23/1.47 ($true != $true) | ($true = ((less_eq @ x @ sF39)))),
% 8.23/1.47 inference(constrained_superposition,[],[f953,f6662])).
% 8.23/1.47 thf(f6845,plain,(
% 8.23/1.47 ($true = ((less_eq @ x @ sF39)))),
% 8.23/1.47 inference(trivial_inequality_removal,[],[f6796])).
% 8.23/1.47 thf(f6849,plain,(
% 8.23/1.47 ($true = $false)),
% 8.23/1.47 inference(forward_demodulation,[],[f6845,f1612])).
% 8.23/1.47 thf(f6850,plain,(
% 8.23/1.47 $false),
% 8.23/1.47 inference(trivial_inequality_removal,[],[f6849])).
% 8.23/1.47 % SZS output end Proof for theBenchmark
% 8.23/1.47 % (2587349)------------------------------
% 8.23/1.47 % (2587349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.47 % (2587349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.47 % (2587349)CaDiCaL version: 2.1.3
% 8.23/1.47 % (2587349)Termination reason: Refutation
% 8.23/1.47 % (2587349)Time elapsed: 0.585 s
% 8.23/1.47 % (2587349)Peak memory usage: 18 MB
% 8.23/1.47 % (2587349)Instructions burned: 778 (million)
% 8.23/1.47 % (2587294)Success in time 1.265 s
% 8.23/1.47 % Vampire exiting
%------------------------------------------------------------------------------