%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP071^2 : 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 : n016.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 08:10:35 AM UTC 2026
% Result : Theorem 14.63s 2.37s
% Output : Refutation 14.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP071^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:51:50 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.62/1.08 % (822283)Will run a generic schedule for satisfiability detection.
% 5.62/1.08 % (822289)% WARNING: option uhcvi not known.
% 5.62/1.08 % (822289)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3724625454:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.62/1.08 % (822288)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1177008915_2999 on theBenchmark for (2999ds/0Mi)
% 5.62/1.08 % (822290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4187626135:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.62/1.08 % (822291)dis+10_1_sil=32000:sp=arity:random_seed=124587117:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.62/1.08 % (822292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2263494178:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.62/1.08 % (822293)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3010287163:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.62/1.08 % (822294)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2000793207:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.62/1.08 % (822292)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.62/1.08 % (822289)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.62/1.08 % (822293)Instruction limit reached!
% 5.62/1.08 % (822293)------------------------------
% 5.62/1.08 % (822293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.08 % (822293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.08 % (822293)CaDiCaL version: 2.1.3
% 5.62/1.08 % (822293)Termination reason: Instruction limit
% 5.62/1.08 % (822293)Termination phase: Saturation
% 5.62/1.08 % (822293)Time elapsed: 0.031 s
% 5.62/1.08 % (822293)Peak memory usage: 13 MB
% 5.62/1.08 % (822293)Instructions burned: 133 (million)
% 5.62/1.08 % (822302)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3398506647:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.62/1.08 % (822291)Instruction limit reached!
% 5.62/1.08 % (822291)------------------------------
% 5.62/1.08 % (822291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.08 % (822291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.08 % (822291)CaDiCaL version: 2.1.3
% 5.62/1.08 % (822291)Termination reason: Instruction limit
% 5.62/1.08 % (822291)Termination phase: Property scanning
% 5.62/1.08 % (822291)Time elapsed: 0.046 s
% 5.62/1.08 % (822291)Peak memory usage: 12 MB
% 5.62/1.08 % (822291)Instructions burned: 104 (million)
% 5.62/1.08 % (822292)Instruction limit reached!
% 5.62/1.08 % (822292)------------------------------
% 5.62/1.08 % (822292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.08 % (822292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.08 % (822292)CaDiCaL version: 2.1.3
% 5.62/1.08 % (822292)Termination reason: Instruction limit
% 5.62/1.08 % (822292)Termination phase: Property scanning
% 5.62/1.08 % (822292)Time elapsed: 0.052 s
% 5.62/1.08 % (822292)Peak memory usage: 12 MB
% 5.62/1.08 % (822292)Instructions burned: 118 (million)
% 5.62/1.08 % Exception at run slice level
% 5.62/1.08 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.62/1.08 % (822289)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.62/1.08 % (822304)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3686638837:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.62/1.08 % (822305)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=3529031358:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.62/1.08 % (822306)ott-21_1_sil=16000:fs=off:random_seed=1008763104:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.62/1.08 % Exception at run slice level
% 5.62/1.08 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.62/1.08 % (822310)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2949656488:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.62/1.08 % (822305)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.62/1.08 % (822304)Instruction limit reached!
% 14.63/2.36 % (822304)------------------------------
% 14.63/2.36 % (822304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822304)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822304)Termination reason: Instruction limit
% 14.63/2.36 % (822304)Termination phase: Saturation
% 14.63/2.36 % (822304)Time elapsed: 0.058 s
% 14.63/2.36 % (822304)Peak memory usage: 13 MB
% 14.63/2.36 % (822304)Instructions burned: 132 (million)
% 14.63/2.36 % (822305)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.63/2.36 % (822294)Instruction limit reached!
% 14.63/2.36 % (822294)------------------------------
% 14.63/2.36 % (822294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822294)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822294)Termination reason: Instruction limit
% 14.63/2.36 % (822294)Termination phase: Saturation
% 14.63/2.36 % (822294)Time elapsed: 0.128 s
% 14.63/2.36 % (822294)Peak memory usage: 12 MB
% 14.63/2.36 % (822294)Instructions burned: 160 (million)
% 14.63/2.36 % (822312)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1708669231:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 14.63/2.36 % (822313)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3099511203:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 14.63/2.36 % (822306)Instruction limit reached!
% 14.63/2.36 % (822306)------------------------------
% 14.63/2.36 % (822306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822306)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822306)Termination reason: Instruction limit
% 14.63/2.36 % (822306)Termination phase: Saturation
% 14.63/2.36 % (822306)Time elapsed: 0.081 s
% 14.63/2.36 % (822306)Peak memory usage: 13 MB
% 14.63/2.36 % (822306)Instructions burned: 181 (million)
% 14.63/2.36 % (822316)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=873674138:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822310)Instruction limit reached!
% 14.63/2.36 % (822310)------------------------------
% 14.63/2.36 % (822310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822310)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822310)Termination reason: Instruction limit
% 14.63/2.36 % (822310)Termination phase: Saturation
% 14.63/2.36 % (822310)Time elapsed: 0.127 s
% 14.63/2.36 % (822310)Peak memory usage: 14 MB
% 14.63/2.36 % (822310)Instructions burned: 486 (million)
% 14.63/2.36 % (822318)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=345709325: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)
% 14.63/2.36 % (822319)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2652473194:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822319)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.63/2.36 % (822318)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.63/2.36 % (822322)fmb+10_1_sil=64000:random_seed=3980454794:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 14.63/2.36 % (822322)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822324)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=7330572:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822326)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1791496008:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 14.63/2.36 % (822305)Instruction limit reached!
% 14.63/2.36 % (822305)------------------------------
% 14.63/2.36 % (822305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822305)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822305)Termination reason: Instruction limit
% 14.63/2.36 % (822305)Termination phase: Saturation
% 14.63/2.36 % (822305)Time elapsed: 0.363 s
% 14.63/2.36 % (822305)Peak memory usage: 17 MB
% 14.63/2.36 % (822305)Instructions burned: 685 (million)
% 14.63/2.36 % (822328)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3740580178:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822319)Instruction limit reached!
% 14.63/2.36 % (822319)------------------------------
% 14.63/2.36 % (822319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822319)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822319)Termination reason: Instruction limit
% 14.63/2.36 % (822319)Termination phase: Saturation
% 14.63/2.36 % (822319)Time elapsed: 0.246 s
% 14.63/2.36 % (822319)Peak memory usage: 19 MB
% 14.63/2.36 % (822319)Instructions burned: 881 (million)
% 14.63/2.36 % (822330)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=814734740:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 14.63/2.36 % (822328)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.63/2.36 % (822331)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3596458066:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822330)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.63/2.36 % (822334)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1521073854:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 14.63/2.36 % (822330)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.63/2.36 % Exception at run slice level
% 14.63/2.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.36 % (822336)ott-2_1_sil=16000:newcnf=on:random_seed=1191009833:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 14.63/2.36 % (822336)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.63/2.36 % (822318)Instruction limit reached!
% 14.63/2.36 % (822318)------------------------------
% 14.63/2.36 % (822318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.36 % (822318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.36 % (822318)CaDiCaL version: 2.1.3
% 14.63/2.36 % (822318)Termination reason: Instruction limit
% 14.63/2.36 % (822318)Termination phase: Saturation
% 14.63/2.36 % (822318)Time elapsed: 0.369 s
% 14.63/2.37 % (822318)Peak memory usage: 18 MB
% 14.63/2.37 % (822318)Instructions burned: 693 (million)
% 14.63/2.37 % (822338)ott+10_1_sil=32000:tgt=ground:random_seed=3260875641:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 14.63/2.37 % (822336)Instruction limit reached!
% 14.63/2.37 % (822336)------------------------------
% 14.63/2.37 % (822336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.37 % (822336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.37 % (822336)CaDiCaL version: 2.1.3
% 14.63/2.37 % (822336)Termination reason: Instruction limit
% 14.63/2.37 % (822336)Termination phase: Saturation
% 14.63/2.37 % (822336)Time elapsed: 0.208 s
% 14.63/2.37 % (822336)Peak memory usage: 17 MB
% 14.63/2.37 % (822336)Instructions burned: 873 (million)
% 14.63/2.37 % (822340)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=584231126:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 14.63/2.37 % Exception at run slice level
% 14.63/2.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.37 % (822342)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=349806316:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 14.63/2.37 % (822342)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.63/2.37 % (822313)Instruction limit reached!
% 14.63/2.37 % (822313)------------------------------
% 14.63/2.37 % (822313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.37 % (822313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.37 % (822313)CaDiCaL version: 2.1.3
% 14.63/2.37 % (822313)Termination reason: Instruction limit
% 14.63/2.37 % (822313)Termination phase: Saturation
% 14.63/2.37 % (822313)Time elapsed: 0.695 s
% 14.63/2.37 % (822313)Peak memory usage: 20 MB
% 14.63/2.37 % (822313)Instructions burned: 1181 (million)
% 14.63/2.37 % (822344)dis+21_1_sil=32000:sas=cadical:random_seed=1035048133:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 14.63/2.37 % (822330)Instruction limit reached!
% 14.63/2.37 % (822330)------------------------------
% 14.63/2.37 % (822330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.37 % (822330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.37 % (822330)CaDiCaL version: 2.1.3
% 14.63/2.37 % (822330)Termination reason: Instruction limit
% 14.63/2.37 % (822330)Termination phase: Saturation
% 14.63/2.37 % (822330)Time elapsed: 0.766 s
% 14.63/2.37 % (822330)Peak memory usage: 19 MB
% 14.63/2.37 % (822330)Instructions burned: 1473 (million)
% 14.63/2.37 % (822346)ott+11_1_sil=16000:gs=on:random_seed=3846324170:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 14.63/2.37 % (822346)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.63/2.37 % (822342)Instruction limit reached!
% 14.63/2.37 % (822342)------------------------------
% 14.63/2.37 % (822342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.37 % (822342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.37 % (822342)CaDiCaL version: 2.1.3
% 14.63/2.37 % (822342)Termination reason: Instruction limit
% 14.63/2.37 % (822342)Termination phase: Saturation
% 14.63/2.37 % (822342)Time elapsed: 0.873 s
% 14.63/2.37 % (822342)Peak memory usage: 33 MB
% 14.63/2.37 % (822342)Instructions burned: 3515 (million)
% 14.63/2.37 % (822348)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1340240231:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 14.63/2.37 % Exception at run slice level
% 14.63/2.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.63/2.37 % (822350)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=882631223:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 14.63/2.37 % (822344) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-822283-822344"...
% 14.63/2.37 % (822344)...printing done.
% 14.63/2.37 % (822344)Refutation found. Thanks to Tanya!
% 14.63/2.37 % SZS status Theorem for theBenchmark
% 14.63/2.37 % SZS output start Proof for theBenchmark
% 14.63/2.37 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 14.63/2.37 thf(type_def_6, type, multiset: $tType > $tType).
% 14.63/2.37 thf(type_def_7, type, list: $tType > $tType).
% 14.63/2.37 thf(type_def_8, type, tree: $tType > $tType).
% 14.63/2.37 thf(type_def_9, type, set: $tType > $tType).
% 14.63/2.37 thf(type_def_10, type, a: $tType).
% 14.63/2.37 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 14.63/2.37 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 14.63/2.37 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 14.63/2.37 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 14.63/2.37 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 14.63/2.37 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 14.63/2.37 thf(func_def_5, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 14.63/2.37 thf(func_def_6, type, bNF_csquare: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X3 > X2) > (X0 > X1) > (X0 > X3) > $o))).
% 14.63/2.37 thf(func_def_7, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 14.63/2.37 thf(func_def_8, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 14.63/2.37 thf(func_def_9, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 14.63/2.37 thf(func_def_10, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 14.63/2.37 thf(func_def_11, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 14.63/2.37 thf(func_def_12, type, heapIm818251801eapify: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_13, type, heapIm721255937_empty: !>[X0: $tType]:((tree @ X0 > $o))).
% 14.63/2.37 thf(func_def_14, type, heapIm1542349758ve_max: !>[X0: $tType]:((tree @ X0 > product_prod @ X0 @ tree @ X0))).
% 14.63/2.37 thf(func_def_15, type, heapIm1271749598e_left: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_16, type, heapIm970386777veLeaf: !>[X0: $tType]:((tree @ X0 > product_prod @ X0 @ tree @ X0))).
% 14.63/2.37 thf(func_def_17, type, heapIm1434396069_right: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_18, type, heapIm748920189ftDown: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_19, type, heap: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 14.63/2.37 thf(func_def_20, type, heap_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 14.63/2.37 thf(func_def_21, type, e: !>[X0: $tType]:(tree @ X0)).
% 14.63/2.37 thf(func_def_22, type, t: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_23, type, in_tree: !>[X0: $tType]:((X0 > tree @ X0 > $o))).
% 14.63/2.37 thf(func_def_24, type, is_heap: !>[X0: $tType]:((tree @ X0 > $o))).
% 14.63/2.37 thf(func_def_25, type, multiset2: !>[X0: $tType]:((tree @ X0 > multiset @ X0))).
% 14.63/2.37 thf(func_def_26, type, val: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_27, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 14.63/2.37 thf(func_def_28, type, lattic929149872er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 14.63/2.37 thf(func_def_29, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 14.63/2.37 thf(func_def_30, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 14.63/2.37 thf(func_def_31, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 14.63/2.37 thf(func_def_32, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_33, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 14.63/2.37 thf(func_def_34, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 14.63/2.37 thf(func_def_35, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 14.63/2.37 thf(func_def_36, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 14.63/2.37 thf(func_def_37, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 14.63/2.37 thf(func_def_38, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 14.63/2.37 thf(func_def_39, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 14.63/2.37 thf(func_def_40, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 14.63/2.37 thf(func_def_41, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 14.63/2.37 thf(func_def_42, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 14.63/2.37 thf(func_def_43, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 14.63/2.37 thf(func_def_44, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 14.63/2.37 thf(func_def_45, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 14.63/2.37 thf(func_def_46, type, collection: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > $o))).
% 14.63/2.37 thf(func_def_47, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 14.63/2.37 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 14.63/2.37 thf(func_def_49, type, t2: tree @ a).
% 14.63/2.37 thf(func_def_50, type, v: a).
% 14.63/2.37 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 14.63/2.37 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 14.63/2.37 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 14.63/2.37 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 14.63/2.37 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 14.63/2.37 thf(func_def_61, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 14.63/2.37 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 14.63/2.37 thf(func_def_64, type, db3: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_65, type, db5: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_66, type, db4: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_67, type, vNOT: ($o > $o)).
% 14.63/2.37 thf(func_def_68, type, db7: !>[X0: $tType]:(X0)).
% 14.63/2.37 thf(func_def_69, type, sP0: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 14.63/2.37 thf(func_def_70, type, sP1: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 14.63/2.37 thf(func_def_71, type, sP2: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 14.63/2.37 thf(func_def_72, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 14.63/2.37 thf(func_def_73, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 14.63/2.37 thf(func_def_74, type, sP5: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 14.63/2.37 thf(func_def_75, type, sP6: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > $o))).
% 14.63/2.37 thf(func_def_76, type, sP7: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > $o))).
% 14.63/2.37 thf(func_def_77, type, sK8: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_78, type, sK9: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_79, type, sK10: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_80, type, sK11: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_81, type, sK12: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_82, type, sK13: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_83, type, sK14: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_84, type, sK15: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_85, type, sK16: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_86, type, sK17: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_87, type, sK18: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_88, type, sK19: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_89, type, sK20: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_90, type, sK21: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_91, type, sK22: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_92, type, sK23: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_93, type, sK24: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_94, type, sK25: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_95, type, sK26: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_96, type, sK27: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_97, type, sK28: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_98, type, sK29: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_99, type, sK30: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_100, type, sK31: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_101, type, sK32: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_102, type, sK33: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_103, type, sK34: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_104, type, sK35: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_105, type, sK36: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_106, type, sK37: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_107, type, sK38: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_108, type, sK39: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_109, type, sK40: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_110, type, sK41: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_111, type, sK42: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_112, type, sK43: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_113, type, sK44: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_114, type, sK45: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_115, type, sK46: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_116, type, sK47: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_117, type, sK48: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_118, type, sK49: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_119, type, sK50: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_120, type, sK51: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_121, type, sK52: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_122, type, sK53: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_123, type, sK54: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_124, type, sK55: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_125, type, sK56: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_126, type, sK57: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_127, type, sK58: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_128, type, sK59: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_129, type, sK60: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_130, type, sK61: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_131, type, sK62: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_132, type, sK63: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_133, type, sK64: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_134, type, sK65: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_135, type, sK66: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_136, type, sK67: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_137, type, sK68: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_138, type, sK69: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_139, type, sK70: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_140, type, sK71: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_141, type, sK72: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 14.63/2.37 thf(func_def_142, type, sK73: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_143, type, sK74: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_144, type, sK75: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_145, type, sK76: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_146, type, sK77: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_147, type, sK78: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_148, type, sK79: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_149, type, sK80: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_150, type, sK81: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_151, type, sK82: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_152, type, sK83: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_153, type, sK84: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_154, type, sK85: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_155, type, sK86: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_156, type, sK87: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_157, type, sK88: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_158, type, sK89: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_159, type, sK90: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_160, type, sK91: !>[X0: $tType]:((tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_161, type, sK92: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_162, type, sK93: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_163, type, sK94: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_164, type, sK95: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_165, type, sK96: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 14.63/2.37 thf(func_def_166, type, sK97: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 14.63/2.37 thf(func_def_167, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 14.63/2.37 thf(func_def_168, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 14.63/2.37 thf(func_def_169, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 14.63/2.37 thf(func_def_170, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 14.63/2.37 thf(func_def_171, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 14.63/2.37 thf(func_def_172, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_173, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_174, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 14.63/2.37 thf(func_def_175, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 14.63/2.37 thf(func_def_176, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 14.63/2.37 thf(func_def_177, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 14.63/2.37 thf(func_def_178, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_179, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_180, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 14.63/2.37 thf(func_def_181, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 14.63/2.37 thf(func_def_182, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 14.63/2.37 thf(func_def_183, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_184, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_185, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 14.63/2.37 thf(func_def_186, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 14.63/2.37 thf(func_def_187, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_188, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_189, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 14.63/2.37 thf(func_def_190, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_191, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_192, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 14.63/2.37 thf(func_def_193, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 14.63/2.37 thf(func_def_194, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 14.63/2.37 thf(func_def_195, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 14.63/2.37 thf(func_def_196, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 14.63/2.37 thf(func_def_197, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 14.63/2.37 thf(func_def_198, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 14.63/2.37 thf(func_def_199, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 14.63/2.37 thf(func_def_200, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 14.63/2.37 thf(func_def_201, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 14.63/2.37 thf(func_def_202, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 14.63/2.37 thf(func_def_203, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 14.63/2.37 thf(func_def_204, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 14.63/2.37 thf(func_def_205, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 14.63/2.37 thf(func_def_206, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 14.63/2.37 thf(func_def_207, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 14.63/2.37 thf(func_def_208, type, sK139: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 14.63/2.37 thf(func_def_209, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 14.63/2.37 thf(func_def_210, type, sK141: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 14.63/2.37 thf(func_def_211, type, sK142: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 14.63/2.37 thf(func_def_212, type, sK143: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 14.63/2.37 thf(func_def_213, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 14.63/2.37 thf(func_def_214, type, sK145: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 14.63/2.37 thf(func_def_215, type, sK146: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 14.63/2.37 thf(func_def_216, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 14.63/2.37 thf(func_def_217, type, sK148: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_218, type, sK149: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_219, type, sK150: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 14.63/2.37 thf(func_def_220, type, sK151: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 14.63/2.37 thf(func_def_221, type, sK152: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 14.63/2.37 thf(func_def_222, type, sK153: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 14.63/2.37 thf(func_def_223, type, sK154: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_224, type, sK155: !>[X0: $tType]:((X0 > tree @ X0 > X0))).
% 14.63/2.37 thf(func_def_225, type, sK156: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 14.63/2.37 thf(func_def_226, type, sK157: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_227, type, sK158: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_228, type, sK159: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_229, type, sK160: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_230, type, sK161: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 14.63/2.37 thf(func_def_231, type, sK162: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 14.63/2.37 thf(func_def_232, type, sK163: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_233, type, sK164: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_234, type, sK165: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 14.63/2.37 thf(func_def_235, type, sK166: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 14.63/2.37 thf(func_def_236, type, sK167: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_237, type, sK168: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_238, type, sK169: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_239, type, sK170: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 14.63/2.37 thf(func_def_240, type, sK171: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_241, type, sK172: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 14.63/2.37 thf(func_def_242, type, sK173: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_243, type, sK174: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 14.63/2.37 thf(func_def_244, type, sK175: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 14.63/2.37 thf(func_def_245, type, sK176: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 14.63/2.37 thf(func_def_246, type, sK177: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_247, type, sK178: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_248, type, sK179: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_249, type, sK180: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_250, type, sK181: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_251, type, sK182: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 14.63/2.37 thf(func_def_252, type, sK183: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X0))).
% 14.63/2.37 thf(func_def_253, type, sK184: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > multiset @ X0) > X1))).
% 14.63/2.37 thf(func_def_254, type, sK185: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X1))).
% 14.63/2.37 thf(func_def_255, type, sK186: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X0))).
% 14.63/2.37 thf(func_def_256, type, sK187: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X1))).
% 14.63/2.37 thf(func_def_257, type, sK188: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > tree @ X0) > X1))).
% 14.63/2.37 thf(func_def_258, type, sK189: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > tree @ X0) > X0))).
% 14.63/2.37 thf(func_def_259, type, sK190: !>[X0: $tType, X1: $tType]:(((X1 > product_prod @ X0 @ X1) > (X1 > $o) > (X1 > tree @ X0) > X1))).
% 14.63/2.37 thf(func_def_260, type, sK191: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > tree @ X0) > X1))).
% 14.63/2.37 thf(func_def_261, type, sK192: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > (X1 > tree @ X0) > list @ X0))).
% 14.63/2.37 thf(func_def_262, type, sK193: !>[X0: $tType, X1: $tType]:(((X1 > tree @ X0) > (X1 > multiset @ X0) > X1))).
% 14.63/2.37 thf(func_def_263, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X2))).
% 14.63/2.37 thf(func_def_264, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X1))).
% 14.63/2.37 thf(func_def_265, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 14.63/2.37 thf(func_def_266, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 14.63/2.37 thf(func_def_267, type, sK198: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X1))).
% 14.63/2.37 thf(func_def_268, type, sK199: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X0))).
% 14.63/2.37 thf(func_def_269, type, sK200: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 14.63/2.37 thf(func_def_270, type, sK201: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 14.63/2.37 thf(func_def_271, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X0))).
% 14.63/2.37 thf(func_def_272, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X2))).
% 14.63/2.37 thf(func_def_273, type, sK204: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X0))).
% 14.63/2.37 thf(func_def_274, type, sK205: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X2))).
% 14.63/2.37 thf(func_def_275, type, sK206: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X2))).
% 14.63/2.37 thf(func_def_276, type, sK207: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X1))).
% 14.63/2.37 thf(func_def_277, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X1))).
% 14.63/2.37 thf(func_def_278, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X0))).
% 14.63/2.37 thf(func_def_279, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X0 > $o) > (X1 > X2 > $o) > X2))).
% 14.63/2.37 thf(func_def_280, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X0 > $o) > (X1 > X2 > $o) > X1))).
% 14.63/2.37 thf(func_def_281, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X2))).
% 14.63/2.37 thf(func_def_282, type, sK213: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X1))).
% 14.63/2.37 thf(func_def_283, type, sK214: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 14.63/2.37 thf(func_def_284, type, sK215: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 14.63/2.37 thf(func_def_285, type, sK216: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0 > X1))).
% 14.63/2.37 thf(func_def_286, type, sK217: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0 > X1))).
% 14.63/2.37 thf(func_def_288, type, sK219: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > X1))).
% 14.63/2.37 thf(func_def_289, type, sK220: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > X1))).
% 14.63/2.37 thf(f11,axiom,(
% 14.63/2.37 ! [X0 : $tType] : (linorder @ X0 => (is_heap @ X0 @ e @ X0))),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_is__heap_Osimps_I1_J)).
% 14.63/2.37 thf(f17,axiom,(
% 14.63/2.37 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_removeLeaf_Osimps_I1_J)).
% 14.63/2.37 thf(f26,axiom,(
% 14.63/2.37 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : X1] : (((product_snd @ X0 @ X1 @ (product_Pair @ X0 @ X1 @ X2 @ X3))) = X3)),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_snd__conv)).
% 14.63/2.37 thf(f202,axiom,(
% 14.63/2.37 ! [X0 : $tType,X1 : $tType] : (product_snd @ X1 @ X0 = ((product_case_prod @ X1 @ X0 @ X0 @ (^[X2 : X1, X3 : X0] : (X3)))))),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_snd__def)).
% 14.63/2.37 thf(f274,axiom,(
% 14.63/2.37 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T)).
% 14.63/2.37 thf(f277,axiom,(
% 14.63/2.37 linorder @ a),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 14.63/2.37 thf(f278,conjecture,(
% 14.63/2.37 (is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 14.63/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 14.63/2.37 thf(f279,negated_conjecture,(
% 14.63/2.37 ~(is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 14.63/2.37 inference(negated_conjecture,[status(cth)],[f278])).
% 14.63/2.37 thf(f294,plain,(
% 14.63/2.37 ! [X0 : $tType] : (linorder @ X0 => (is_heap @ X0 @ e @ X0))),
% 14.63/2.37 inference(rectify,[],[f11])).
% 14.63/2.37 thf(f295,plain,(
% 14.63/2.37 ! [X0 : $tType] : ((linorder @ X0 = $true) => (((is_heap @ X0 @ e @ X0)) = $true))),
% 14.63/2.37 inference(fool_elimination,[],[f294])).
% 14.63/2.37 thf(f302,plain,(
% 14.63/2.37 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 14.63/2.37 inference(rectify,[],[f17])).
% 14.63/2.37 thf(f303,plain,(
% 14.63/2.37 ! [X0 : $tType] : ((linorder @ X0 = $true) => ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 14.63/2.37 inference(fool_elimination,[],[f302])).
% 14.63/2.37 thf(f592,plain,(
% 14.63/2.37 ! [X0 : $tType,X1 : $tType] : (product_snd @ X1 @ X0 = ((product_case_prod @ X1 @ X0 @ X0 @ (^[X2 : X1, X3 : X0] : (X3)))))),
% 14.63/2.37 inference(rectify,[],[f202])).
% 14.63/2.37 thf(f593,plain,(
% 14.63/2.37 ! [X0 : $tType,X1 : $tType] : (product_snd @ X1 @ X0 = ((product_case_prod @ X1 @ X0 @ X0 @ (^[Y0 : X1]: ((^[Y1 : X0]: (Y1)))))))),
% 14.63/2.37 inference(fool_elimination,[],[f592])).
% 14.63/2.37 thf(f677,plain,(
% 14.63/2.37 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 14.63/2.37 inference(fool_elimination,[],[f274])).
% 14.63/2.37 thf(f682,plain,(
% 14.63/2.37 linorder @ a),
% 14.63/2.37 inference(rectify,[],[f277])).
% 14.63/2.37 thf(f683,plain,(
% 14.63/2.37 (linorder @ a = $true)),
% 14.63/2.37 inference(fool_elimination,[],[f682])).
% 14.63/2.37 thf(f684,plain,(
% 14.63/2.37 ~(is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 14.63/2.37 inference(rectify,[],[f279])).
% 14.63/2.37 thf(f685,plain,(
% 14.63/2.37 ~ (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) = $true)),
% 14.63/2.37 inference(fool_elimination,[],[f684])).
% 14.63/2.37 thf(f703,plain,(
% 14.63/2.37 (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) != $true)),
% 14.63/2.37 inference(flattening,[],[f685])).
% 14.63/2.37 thf(f711,plain,(
% 14.63/2.37 ! [X0 : $tType] : ((((is_heap @ X0 @ e @ X0)) = $true) | (linorder @ X0 != $true))),
% 14.63/2.37 inference(ennf_transformation,[],[f295])).
% 14.63/2.37 thf(f719,plain,(
% 14.63/2.37 ! [X0 : $tType] : (! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))) | (linorder @ X0 != $true))),
% 14.63/2.37 inference(ennf_transformation,[],[f303])).
% 14.63/2.37 thf(f1030,plain,(
% 14.63/2.37 ( ! [X0 : $tType] : ((((is_heap @ X0 @ e @ X0)) = $true) | (linorder @ X0 != $true)) )),
% 14.63/2.37 inference(cnf_transformation,[],[f711])).
% 14.63/2.37 thf(f1038,plain,(
% 14.63/2.37 ( ! [X0 : $tType,X1 : X0] : ((((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))) | (linorder @ X0 != $true)) )),
% 14.63/2.37 inference(cnf_transformation,[],[f719])).
% 14.63/2.37 thf(f1047,plain,(
% 14.63/2.37 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1] : ((((product_snd @ X0 @ X1 @ (product_Pair @ X0 @ X1 @ X2 @ X3))) = X3)) )),
% 14.63/2.37 inference(cnf_transformation,[],[f26])).
% 14.63/2.37 thf(f1284,plain,(
% 14.63/2.37 ( ! [X1 : $tType,X0 : $tType] : ((product_snd @ X1 @ X0 = ((product_case_prod @ X1 @ X0 @ X0 @ (^[Y0 : X1]: ((^[Y1 : X0]: (Y1)))))))) )),
% 14.63/2.37 inference(cnf_transformation,[],[f593])).
% 14.63/2.37 thf(f1360,plain,(
% 14.63/2.37 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 14.63/2.37 inference(cnf_transformation,[],[f677])).
% 14.63/2.37 thf(f1363,plain,(
% 14.63/2.37 (linorder @ a = $true)),
% 14.63/2.37 inference(cnf_transformation,[],[f683])).
% 14.63/2.37 thf(f1364,plain,(
% 14.63/2.37 (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) != $true)),
% 14.63/2.37 inference(cnf_transformation,[],[f703])).
% 14.63/2.37 thf(f1374,plain,(
% 14.63/2.37 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1] : ((((product_case_prod @ X0 @ X1 @ X1 @ (^[Y0 : X0]: ((^[Y1 : X1]: (Y1)))) @ (product_Pair @ X0 @ X1 @ X2 @ X3))) = X3)) )),
% 14.63/2.37 inference(definition_unfolding,[],[f1047,f1284])).
% 14.63/2.37 thf(f1443,plain,(
% 14.63/2.37 ($true != ((is_heap @ a @ (product_case_prod @ a @ tree @ a @ tree @ a @ (^[Y0 : a]: ((^[Y1 : tree @ a]: (Y1)))) @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))))),
% 14.63/2.37 inference(definition_unfolding,[],[f1364,f1284])).
% 14.63/2.37 thf(f1699,plain,(
% 14.63/2.37 ($true != $true) | ($false = ((is_heap @ a @ (product_case_prod @ a @ tree @ a @ tree @ a @ (^[Y0 : a]: ((^[Y1 : tree @ a]: (Y1)))) @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))))),
% 14.63/2.37 inference(constrained_superposition,[],[f1443,f1360])).
% 14.63/2.37 thf(f1700,plain,(
% 14.63/2.37 ($false = ((is_heap @ a @ (product_case_prod @ a @ tree @ a @ tree @ a @ (^[Y0 : a]: ((^[Y1 : tree @ a]: (Y1)))) @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))))),
% 14.63/2.37 inference(trivial_inequality_removal,[],[f1699])).
% 14.63/2.37 thf(f2959,definition,(
% 14.63/2.37 spl218_31 <=> ($false = ((is_heap @ a @ e @ a)))),
% 14.63/2.37 introduced(definition,[new_symbols(definition,[spl218_31])],[avatar_definition])).
% 14.63/2.37 thf(f2961,plain,(
% 14.63/2.37 ($false = ((is_heap @ a @ e @ a))) | ~spl218_31),
% 14.63/2.37 inference(avatar_component_clause,[],[f2959])).
% 14.63/2.37 thf(f3022,plain,(
% 14.63/2.37 ($true = $false) | (linorder @ a != $true) | ~spl218_31),
% 14.63/2.37 inference(constrained_superposition,[],[f2961,f1030])).
% 14.63/2.37 thf(f3034,plain,(
% 14.63/2.37 (linorder @ a != $true) | ~spl218_31),
% 14.63/2.37 inference(trivial_inequality_removal,[],[f3022])).
% 14.63/2.37 thf(f3040,plain,(
% 14.63/2.37 $false | ~spl218_31),
% 14.63/2.37 inference(forward_subsumption_resolution,[],[f3034,f1363])).
% 14.63/2.37 thf(f3041,plain,(
% 14.63/2.37 ~spl218_31),
% 14.63/2.37 inference(avatar_contradiction_clause,[],[f3040])).
% 14.63/2.37 thf(f25145,plain,(
% 14.63/2.37 ($false = ((is_heap @ a @ (product_case_prod @ a @ tree @ a @ tree @ a @ (^[Y0 : a]: ((^[Y1 : tree @ a]: (Y1)))) @ (product_Pair @ a @ tree @ a @ v @ e @ a))))) | (linorder @ a != $true)),
% 14.63/2.37 inference(constrained_superposition,[],[f1700,f1038])).
% 14.63/2.37 thf(f25156,plain,(
% 14.63/2.37 ($false = ((is_heap @ a @ (product_case_prod @ a @ tree @ a @ tree @ a @ (^[Y0 : a]: ((^[Y1 : tree @ a]: (Y1)))) @ (product_Pair @ a @ tree @ a @ v @ e @ a)))))),
% 14.63/2.37 inference(forward_subsumption_resolution,[],[f25145,f1363])).
% 14.63/2.37 thf(f25160,plain,(
% 14.63/2.37 ($false = ((is_heap @ a @ e @ a)))),
% 14.63/2.37 inference(forward_demodulation,[],[f25156,f1374])).
% 14.63/2.37 thf(f25166,plain,(
% 14.63/2.37 spl218_31),
% 14.63/2.37 inference(avatar_split_clause,[],[f25160,f2959])).
% 14.63/2.37 cnf(s106, plain, ~spl218_31, inference(sat_conversion,[],[f3041])).
% 14.63/2.37 cnf(s1751, plain, spl218_31, inference(sat_conversion,[],[f25166])).
% 14.63/2.37 cnf(s1821, plain, $false, inference(rat,[],[s106,s1751])).
% 14.63/2.37 thf(f25167,plain,(
% 14.63/2.37 $false),
% 14.63/2.37 inference(avatar_sat_refutation,[],[s1821])).
% 14.63/2.37 % SZS output end Proof for theBenchmark
% 14.63/2.37 % (822344)------------------------------
% 14.63/2.37 % (822344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.37 % (822344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.37 % (822344)CaDiCaL version: 2.1.3
% 14.63/2.37 % (822344)Termination reason: Refutation
% 14.63/2.37 % (822344)Time elapsed: 1.223 s
% 14.63/2.37 % (822344)Peak memory usage: 23 MB
% 14.63/2.37 % (822344)Instructions burned: 2526 (million)
% 14.63/2.37 % (822283)Success in time 2.15 s
% 14.63/2.37 % Vampire exiting
%------------------------------------------------------------------------------