%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM204^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:32 AM UTC 2026
% Result : Theorem 55.55s 8.10s
% Output : Refutation 55.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM204^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n015.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 17:55:18 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 5.71/1.10 % (3882792)Will run a generic schedule for satisfiability detection.
% 5.71/1.10 % (3882801)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2691959954:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.71/1.10 % (3882798)% WARNING: option uhcvi not known.
% 5.71/1.10 % (3882797)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=573413352_2999 on theBenchmark for (2999ds/0Mi)
% 5.71/1.10 % (3882798)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2097584060:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.71/1.10 % (3882799)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2853544047:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.71/1.10 % (3882800)dis+10_1_sil=32000:sp=arity:random_seed=119803921:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.71/1.10 % (3882801)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.71/1.10 % (3882802)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1611911613:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.71/1.10 % (3882803)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1062985208:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.71/1.10 % (3882798)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.71/1.10 % (3882801)Instruction limit reached!
% 5.71/1.10 % (3882801)------------------------------
% 5.71/1.10 % (3882801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.10 % (3882801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.10 % (3882801)CaDiCaL version: 2.1.3
% 5.71/1.10 % (3882801)Termination reason: Instruction limit
% 5.71/1.10 % (3882801)Termination phase: Saturation
% 5.71/1.10 % (3882801)Time elapsed: 0.030 s
% 5.71/1.10 % (3882801)Peak memory usage: 13 MB
% 5.71/1.10 % (3882801)Instructions burned: 118 (million)
% 5.71/1.10 % (3882811)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1591579632:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.71/1.10 % Exception at run slice level
% 5.71/1.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.71/1.10 % (3882798)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.71/1.10 % (3882800)Instruction limit reached!
% 5.71/1.10 % (3882800)------------------------------
% 5.71/1.10 % (3882800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.10 % (3882800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.10 % (3882800)CaDiCaL version: 2.1.3
% 5.71/1.10 % (3882800)Termination reason: Instruction limit
% 5.71/1.10 % (3882800)Termination phase: Saturation
% 5.71/1.10 % (3882800)Time elapsed: 0.047 s
% 5.71/1.10 % (3882800)Peak memory usage: 13 MB
% 5.71/1.10 % (3882800)Instructions burned: 103 (million)
% 5.71/1.10 % Exception at run slice level
% 5.71/1.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.71/1.10 % (3882813)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=368548486:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.71/1.10 % (3882802)Instruction limit reached!
% 5.71/1.10 % (3882802)------------------------------
% 5.71/1.10 % (3882802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.10 % (3882802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.10 % (3882802)CaDiCaL version: 2.1.3
% 5.71/1.10 % (3882802)Termination reason: Instruction limit
% 5.71/1.10 % (3882802)Termination phase: Saturation
% 5.71/1.10 % (3882802)Time elapsed: 0.062 s
% 5.71/1.10 % (3882802)Peak memory usage: 13 MB
% 5.71/1.10 % (3882802)Instructions burned: 131 (million)
% 5.71/1.10 % (3882815)ott-21_1_sil=16000:fs=off:random_seed=1346229755:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.71/1.10 % (3882814)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=392909631:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.71/1.10 % (3882818)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3619915564:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.71/1.10 % (3882814)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.45/2.88 % (3882803)Instruction limit reached!
% 17.45/2.88 % (3882803)------------------------------
% 17.45/2.88 % (3882803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.45/2.88 % (3882803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.45/2.88 % (3882803)CaDiCaL version: 2.1.3
% 17.45/2.88 % (3882803)Termination reason: Instruction limit
% 17.45/2.88 % (3882803)Termination phase: Saturation
% 17.45/2.88 % (3882803)Time elapsed: 0.098 s
% 17.45/2.88 % (3882803)Peak memory usage: 14 MB
% 17.45/2.88 % (3882803)Instructions burned: 159 (million)
% 17.45/2.88 % (3882815)Instruction limit reached!
% 17.45/2.88 % (3882815)------------------------------
% 17.45/2.88 % (3882815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.45/2.88 % (3882815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.45/2.88 % (3882815)CaDiCaL version: 2.1.3
% 17.45/2.88 % (3882815)Termination reason: Instruction limit
% 17.45/2.88 % (3882815)Termination phase: Saturation
% 17.45/2.88 % (3882815)Time elapsed: 0.046 s
% 17.45/2.88 % (3882815)Peak memory usage: 14 MB
% 17.45/2.88 % (3882815)Instructions burned: 183 (million)
% 17.45/2.88 % (3882814)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.45/2.88 % (3882822)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=387344921:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.45/2.88 % (3882813)Instruction limit reached!
% 17.45/2.88 % (3882813)------------------------------
% 17.45/2.88 % (3882813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.45/2.88 % (3882813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.45/2.88 % (3882813)CaDiCaL version: 2.1.3
% 17.45/2.88 % (3882813)Termination reason: Instruction limit
% 17.45/2.88 % (3882813)Termination phase: Saturation
% 17.45/2.88 % (3882813)Time elapsed: 0.064 s
% 17.45/2.88 % (3882813)Peak memory usage: 13 MB
% 17.45/2.88 % (3882813)Instructions burned: 131 (million)
% 17.45/2.88 % (3882821)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1530423220:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.45/2.88 % (3882825)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=174791715:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.45/2.88 % Exception at run slice level
% 17.45/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.45/2.88 % (3882827)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=2070039630: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)
% 17.45/2.88 % (3882827)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.45/2.88 % Exception at run slice level
% 17.45/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.45/2.88 % (3882829)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2476058044:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.45/2.88 % (3882829)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.45/2.88 % (3882818)Instruction limit reached!
% 17.45/2.88 % (3882818)------------------------------
% 17.45/2.88 % (3882818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.45/2.88 % (3882818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.45/2.88 % (3882818)CaDiCaL version: 2.1.3
% 17.45/2.88 % (3882818)Termination reason: Instruction limit
% 17.45/2.88 % (3882818)Termination phase: Saturation
% 17.45/2.88 % (3882818)Time elapsed: 0.247 s
% 17.45/2.88 % (3882818)Peak memory usage: 15 MB
% 17.45/2.88 % (3882818)Instructions burned: 478 (million)
% 17.45/2.88 % (3882831)fmb+10_1_sil=64000:random_seed=342952117:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 17.45/2.88 % (3882831)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.45/2.88 % Exception at run slice level
% 17.45/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.45/2.88 % (3882814)Instruction limit reached!
% 17.45/2.88 % (3882814)------------------------------
% 17.45/2.88 % (3882814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.45/2.88 % (3882814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.72/5.98 % (3882814)CaDiCaL version: 2.1.3
% 39.72/5.98 % (3882814)Termination reason: Instruction limit
% 39.72/5.98 % (3882814)Termination phase: Saturation
% 39.72/5.98 % (3882814)Time elapsed: 0.336 s
% 39.72/5.98 % (3882814)Peak memory usage: 16 MB
% 39.72/5.98 % (3882814)Instructions burned: 685 (million)
% 39.72/5.98 % (3882833)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1021973606:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 39.72/5.98 % (3882834)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2749034943:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 39.72/5.98 % (3882822)Instruction limit reached!
% 39.72/5.98 % (3882822)------------------------------
% 39.72/5.98 % (3882822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.72/5.98 % (3882822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.72/5.98 % (3882822)CaDiCaL version: 2.1.3
% 39.72/5.98 % (3882822)Termination reason: Instruction limit
% 39.72/5.98 % (3882822)Termination phase: Saturation
% 39.72/5.98 % (3882822)Time elapsed: 0.324 s
% 39.72/5.98 % (3882822)Peak memory usage: 18 MB
% 39.72/5.98 % (3882822)Instructions burned: 1180 (million)
% 39.72/5.98 % Exception at run slice level
% 39.72/5.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.72/5.98 % (3882837)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=305761529:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 39.72/5.98 % Exception at run slice level
% 39.72/5.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.72/5.98 % (3882837)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 39.72/5.98 % (3882839)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1125805499:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 39.72/5.98 % (3882840)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2677206655:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 39.72/5.98 % (3882839)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 39.72/5.98 % (3882839)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 39.72/5.98 % Exception at run slice level
% 39.72/5.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.72/5.98 % (3882843)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1672461060:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 39.72/5.98 % (3882827)Instruction limit reached!
% 39.72/5.98 % (3882827)------------------------------
% 39.72/5.98 % (3882827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.72/5.98 % (3882827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.72/5.98 % (3882827)CaDiCaL version: 2.1.3
% 39.72/5.98 % (3882827)Termination reason: Instruction limit
% 39.72/5.98 % (3882827)Termination phase: Saturation
% 39.72/5.98 % (3882827)Time elapsed: 0.362 s
% 39.72/5.98 % (3882827)Peak memory usage: 17 MB
% 39.72/5.98 % (3882827)Instructions burned: 693 (million)
% 39.72/5.98 % (3882845)ott-2_1_sil=16000:newcnf=on:random_seed=3176973937:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 39.72/5.98 % Exception at run slice level
% 39.72/5.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.72/5.98 % (3882845)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 39.72/5.98 % (3882847)ott+10_1_sil=32000:tgt=ground:random_seed=1939900205:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 39.72/5.98 % (3882829)Instruction limit reached!
% 39.72/5.98 % (3882829)------------------------------
% 39.72/5.98 % (3882829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.72/5.98 % (3882829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.72/5.98 % (3882829)CaDiCaL version: 2.1.3
% 39.72/5.98 % (3882829)Termination reason: Instruction limit
% 39.72/5.98 % (3882829)Termination phase: Saturation
% 39.72/5.98 % (3882829)Time elapsed: 0.514 s
% 39.72/5.98 % (3882829)Peak memory usage: 20 MB
% 39.72/5.98 % (3882829)Instructions burned: 881 (million)
% 39.72/5.98 % (3882849)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1590584860:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 39.72/5.98 % Exception at run slice level
% 39.72/5.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 55.55/8.10 % (3882851)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3496324023:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 55.55/8.10 % (3882851)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 55.55/8.10 % (3882845)Instruction limit reached!
% 55.55/8.10 % (3882845)------------------------------
% 55.55/8.10 % (3882845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882845)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882845)Termination reason: Instruction limit
% 55.55/8.10 % (3882845)Termination phase: Saturation
% 55.55/8.10 % (3882845)Time elapsed: 0.430 s
% 55.55/8.10 % (3882845)Peak memory usage: 17 MB
% 55.55/8.10 % (3882845)Instructions burned: 871 (million)
% 55.55/8.10 % (3882853)dis+21_1_sil=32000:sas=cadical:random_seed=1224066301:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 55.55/8.10 % (3882839)Instruction limit reached!
% 55.55/8.10 % (3882839)------------------------------
% 55.55/8.10 % (3882839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882839)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882839)Termination reason: Instruction limit
% 55.55/8.10 % (3882839)Termination phase: Saturation
% 55.55/8.10 % (3882839)Time elapsed: 0.848 s
% 55.55/8.10 % (3882839)Peak memory usage: 18 MB
% 55.55/8.10 % (3882839)Instructions burned: 1475 (million)
% 55.55/8.10 % (3882855)ott+11_1_sil=16000:gs=on:random_seed=2155695711:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 55.55/8.10 % (3882855)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 55.55/8.10 % (3882837)Instruction limit reached!
% 55.55/8.10 % (3882837)------------------------------
% 55.55/8.10 % (3882837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882837)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882837)Termination reason: Instruction limit
% 55.55/8.10 % (3882837)Termination phase: Saturation
% 55.55/8.10 % (3882837)Time elapsed: 1.418 s
% 55.55/8.10 % (3882837)Peak memory usage: 35 MB
% 55.55/8.10 % (3882837)Instructions burned: 5135 (million)
% 55.55/8.10 % (3882857)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=930907064:fmbsr=1.6:i=67534_2980 on theBenchmark for (2980ds/67534Mi)
% 55.55/8.10 % Exception at run slice level
% 55.55/8.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 55.55/8.10 % (3882859)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3125071108:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2980 on theBenchmark for (2980ds/4591Mi)
% 55.55/8.10 % (3882855)Instruction limit reached!
% 55.55/8.10 % (3882855)------------------------------
% 55.55/8.10 % (3882855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882855)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882855)Termination reason: Instruction limit
% 55.55/8.10 % (3882855)Termination phase: Saturation
% 55.55/8.10 % (3882855)Time elapsed: 1.092 s
% 55.55/8.10 % (3882855)Peak memory usage: 22 MB
% 55.55/8.10 % (3882855)Instructions burned: 2252 (million)
% 55.55/8.10 % (3882861)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1311913909:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 55.55/8.10 % (3882851)Instruction limit reached!
% 55.55/8.10 % (3882851)------------------------------
% 55.55/8.10 % (3882851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882851)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882851)Termination reason: Instruction limit
% 55.55/8.10 % (3882851)Termination phase: Saturation
% 55.55/8.10 % (3882851)Time elapsed: 1.736 s
% 55.55/8.10 % (3882851)Peak memory usage: 27 MB
% 55.55/8.10 % (3882851)Instructions burned: 3513 (million)
% 55.55/8.10 % (3882863)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2867454766:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 55.55/8.10 % (3882853)Instruction limit reached!
% 55.55/8.10 % (3882853)------------------------------
% 55.55/8.10 % (3882853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882853)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882853)Termination reason: Instruction limit
% 55.55/8.10 % (3882853)Termination phase: Saturation
% 55.55/8.10 % (3882853)Time elapsed: 1.742 s
% 55.55/8.10 % (3882853)Peak memory usage: 28 MB
% 55.55/8.10 % (3882853)Instructions burned: 3775 (million)
% 55.55/8.10 % (3882865)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=640603767:i=5497:nm=2_2971 on theBenchmark for (2971ds/5497Mi)
% 55.55/8.10 % Exception at run slice level
% 55.55/8.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 55.55/8.10 % (3882867)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2498805405:fmbsr=2:i=46332_2971 on theBenchmark for (2971ds/46332Mi)
% 55.55/8.10 % Exception at run slice level
% 55.55/8.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 55.55/8.10 % (3882869)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1442966828:i=14071_2970 on theBenchmark for (2970ds/14071Mi)
% 55.55/8.10 % Exception at run slice level
% 55.55/8.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 55.55/8.10 % (3882871)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1563804874:i=22565:add=on:rawr=on_2969 on theBenchmark for (2969ds/22565Mi)
% 55.55/8.10 % (3882847)Instruction limit reached!
% 55.55/8.10 % (3882847)------------------------------
% 55.55/8.10 % (3882847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882847)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882847)Termination reason: Instruction limit
% 55.55/8.10 % (3882847)Termination phase: Saturation
% 55.55/8.10 % (3882847)Time elapsed: 2.518 s
% 55.55/8.10 % (3882847)Peak memory usage: 31 MB
% 55.55/8.10 % (3882847)Instructions burned: 5116 (million)
% 55.55/8.10 % (3882873)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3711991458:i=8173:av=off_2968 on theBenchmark for (2968ds/8173Mi)
% 55.55/8.10 % (3882859)Instruction limit reached!
% 55.55/8.10 % (3882859)------------------------------
% 55.55/8.10 % (3882859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882859)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882859)Termination reason: Instruction limit
% 55.55/8.10 % (3882859)Termination phase: Saturation
% 55.55/8.10 % (3882859)Time elapsed: 1.306 s
% 55.55/8.10 % (3882859)Peak memory usage: 26 MB
% 55.55/8.10 % (3882859)Instructions burned: 4593 (million)
% 55.55/8.10 % (3882875)dis+10_16:1_sil=16000:random_seed=676675412:i=9155:fsr=off_2967 on theBenchmark for (2967ds/9155Mi)
% 55.55/8.10 % (3882863)Instruction limit reached!
% 55.55/8.10 % (3882863)------------------------------
% 55.55/8.10 % (3882863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882863)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882863)Termination reason: Instruction limit
% 55.55/8.10 % (3882863)Termination phase: Saturation
% 55.55/8.10 % (3882863)Time elapsed: 2.545 s
% 55.55/8.10 % (3882863)Peak memory usage: 43 MB
% 55.55/8.10 % (3882863)Instructions burned: 5212 (million)
% 55.55/8.10 % (3882877)ott-3_8_sil=64000:random_seed=2301124698:i=20139:bs=on_2947 on theBenchmark for (2947ds/20139Mi)
% 55.55/8.10 % (3882875)Instruction limit reached!
% 55.55/8.10 % (3882875)------------------------------
% 55.55/8.10 % (3882875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882875)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882875)Termination reason: Instruction limit
% 55.55/8.10 % (3882875)Termination phase: Saturation
% 55.55/8.10 % (3882875)Time elapsed: 2.454 s
% 55.55/8.10 % (3882875)Peak memory usage: 53 MB
% 55.55/8.10 % (3882875)Instructions burned: 9157 (million)
% 55.55/8.10 % (3882879)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3861622346:fmbsr=2:i=32576_2942 on theBenchmark for (2942ds/32576Mi)
% 55.55/8.10 % Exception at run slice level
% 55.55/8.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 55.55/8.10 % (3882881)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3579390492:i=11404_2942 on theBenchmark for (2942ds/11404Mi)
% 55.55/8.10 % (3882873)Instruction limit reached!
% 55.55/8.10 % (3882873)------------------------------
% 55.55/8.10 % (3882873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882873)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882873)Termination reason: Instruction limit
% 55.55/8.10 % (3882873)Termination phase: Saturation
% 55.55/8.10 % (3882873)Time elapsed: 3.995 s
% 55.55/8.10 % (3882873)Peak memory usage: 39 MB
% 55.55/8.10 % (3882873)Instructions burned: 8173 (million)
% 55.55/8.10 % (3882887)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1105165269:i=14134_2928 on theBenchmark for (2928ds/14134Mi)
% 55.55/8.10 % (3882887)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 55.55/8.10 % (3882798) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3882792-3882798"...
% 55.55/8.10 % (3882798)...printing done.
% 55.55/8.10 % (3882798)Refutation found. Thanks to Tanya!
% 55.55/8.10 % SZS status Theorem for theBenchmark
% 55.55/8.10 % SZS output start Proof for theBenchmark
% 55.55/8.10 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 55.55/8.10 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 55.55/8.10 thf(type_def_7, type, dtree: $tType).
% 55.55/8.10 thf(type_def_8, type, set: $tType > $tType).
% 55.55/8.10 thf(type_def_9, type, t: $tType).
% 55.55/8.10 thf(type_def_10, type, n: $tType).
% 55.55/8.10 thf(type_def_11, type, itself: $tType > $tType).
% 55.55/8.10 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 55.55/8.10 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 55.55/8.10 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 55.55/8.10 thf(func_def_2, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 55.55/8.10 thf(func_def_3, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 55.55/8.10 thf(func_def_4, type, bounded_lattice_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 55.55/8.10 thf(func_def_5, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 55.55/8.10 thf(func_def_6, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 55.55/8.10 thf(func_def_7, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 55.55/8.10 thf(func_def_8, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 55.55/8.10 thf(func_def_9, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_10, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 55.55/8.10 thf(func_def_11, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 55.55/8.10 thf(func_def_12, type, top_top: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_13, type, parall1899940088le_par: (product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_14, type, parall1914194347_par_c: (product_prod @ dtree @ dtree > set @ sum_sum @ t @ product_prod @ dtree @ dtree)).
% 55.55/8.10 thf(func_def_15, type, parall1418634510_c_rel: (product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > $o)).
% 55.55/8.10 thf(func_def_16, type, parall1914194362_par_r: (product_prod @ dtree @ dtree > n)).
% 55.55/8.10 thf(func_def_17, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 55.55/8.10 thf(func_def_18, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 55.55/8.10 thf(func_def_19, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 55.55/8.10 thf(func_def_20, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 55.55/8.10 thf(func_def_21, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 55.55/8.10 thf(func_def_22, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 55.55/8.10 thf(func_def_23, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 55.55/8.10 thf(func_def_24, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 55.55/8.10 thf(func_def_25, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 55.55/8.10 thf(func_def_26, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 55.55/8.10 thf(func_def_27, type, type2: !>[X0: $tType]:(itself @ X0)).
% 55.55/8.10 thf(func_def_28, type, id: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 55.55/8.10 thf(func_def_29, type, antisym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 55.55/8.10 thf(func_def_30, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 55.55/8.10 thf(func_def_31, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 55.55/8.10 thf(func_def_32, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 55.55/8.10 thf(func_def_33, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 55.55/8.10 thf(func_def_34, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 55.55/8.10 thf(func_def_35, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 55.55/8.10 thf(func_def_36, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 55.55/8.10 thf(func_def_37, type, sum_Suml: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X0 @ X2 > X1))).
% 55.55/8.10 thf(func_def_38, type, sum_Sumr: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X2 @ X0 > X1))).
% 55.55/8.10 thf(func_def_39, type, sum_rec_set_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1 > $o))).
% 55.55/8.10 thf(func_def_40, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 55.55/8.10 thf(func_def_41, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 55.55/8.10 thf(func_def_42, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 55.55/8.10 thf(func_def_43, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 55.55/8.10 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 55.55/8.10 thf(func_def_45, type, t2: dtree).
% 55.55/8.10 thf(func_def_46, type, tr1: dtree).
% 55.55/8.10 thf(func_def_47, type, tr2: dtree).
% 55.55/8.10 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 55.55/8.10 thf(func_def_52, type, vAND: ($o > $o > $o)).
% 55.55/8.10 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 55.55/8.10 thf(func_def_55, type, db2: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_56, type, db1: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 55.55/8.10 thf(func_def_58, type, vOR: ($o > $o > $o)).
% 55.55/8.10 thf(func_def_59, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 55.55/8.10 thf(func_def_60, type, vIMP: ($o > $o > $o)).
% 55.55/8.10 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_62, type, db5: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_63, type, db4: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_64, type, vNOT: ($o > $o)).
% 55.55/8.10 thf(func_def_65, type, sK0: (product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_66, type, sK1: (product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_67, type, sK2: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 55.55/8.10 thf(func_def_68, type, sK3: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 55.55/8.10 thf(func_def_69, type, sK4: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > product_prod @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_70, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > product_prod @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_71, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_72, type, sK7: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_73, type, sK8: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_74, type, sK9: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_75, type, sK10: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_76, type, sK11: !>[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))).
% 55.55/8.10 thf(func_def_77, type, sK12: !>[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))).
% 55.55/8.10 thf(func_def_78, type, sK13: !>[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))).
% 55.55/8.10 thf(func_def_79, type, sK14: !>[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))).
% 55.55/8.10 thf(func_def_80, type, sK15: !>[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))).
% 55.55/8.10 thf(func_def_81, type, sK16: !>[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))).
% 55.55/8.10 thf(func_def_82, type, sK17: !>[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))).
% 55.55/8.10 thf(func_def_83, type, sK18: !>[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))).
% 55.55/8.10 thf(func_def_84, type, sK19: !>[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))).
% 55.55/8.10 thf(func_def_85, type, sK20: !>[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))).
% 55.55/8.10 thf(func_def_86, type, sK21: !>[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))).
% 55.55/8.10 thf(func_def_87, type, sK22: !>[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))).
% 55.55/8.10 thf(func_def_88, type, sK23: !>[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))).
% 55.55/8.10 thf(func_def_89, type, sK24: !>[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))).
% 55.55/8.10 thf(func_def_90, type, sK25: !>[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))).
% 55.55/8.10 thf(func_def_91, type, sK26: !>[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))).
% 55.55/8.10 thf(func_def_92, type, sK27: !>[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))).
% 55.55/8.10 thf(func_def_93, type, sK28: !>[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))).
% 55.55/8.10 thf(func_def_94, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 55.55/8.10 thf(func_def_95, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 55.55/8.10 thf(func_def_96, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_97, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_98, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 55.55/8.10 thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_101, type, sK36: !>[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))).
% 55.55/8.10 thf(func_def_102, type, sK37: !>[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))).
% 55.55/8.10 thf(func_def_103, type, sK38: !>[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))).
% 55.55/8.10 thf(func_def_104, type, sK39: !>[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))).
% 55.55/8.10 thf(func_def_105, type, sK40: !>[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))).
% 55.55/8.10 thf(func_def_106, type, sK41: !>[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))).
% 55.55/8.10 thf(func_def_107, type, sK42: !>[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))).
% 55.55/8.10 thf(func_def_108, type, sK43: !>[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))).
% 55.55/8.10 thf(func_def_109, type, sK44: !>[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))).
% 55.55/8.10 thf(func_def_110, type, sK45: !>[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))).
% 55.55/8.10 thf(func_def_111, type, sK46: !>[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))).
% 55.55/8.10 thf(func_def_112, type, sK47: !>[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))).
% 55.55/8.10 thf(func_def_113, type, sK48: !>[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))).
% 55.55/8.10 thf(func_def_114, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 55.55/8.10 thf(func_def_115, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 55.55/8.10 thf(func_def_116, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 55.55/8.10 thf(func_def_117, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 55.55/8.10 thf(func_def_118, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 55.55/8.10 thf(func_def_119, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 55.55/8.10 thf(func_def_120, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 55.55/8.10 thf(func_def_121, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 55.55/8.10 thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 55.55/8.10 thf(func_def_123, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 55.55/8.10 thf(func_def_124, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 55.55/8.10 thf(func_def_125, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 55.55/8.10 thf(func_def_126, type, sK61: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_127, type, sK62: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_128, type, sK63: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_129, type, sK64: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_130, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 55.55/8.10 thf(func_def_131, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 55.55/8.10 thf(func_def_132, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 55.55/8.10 thf(func_def_133, type, sK68: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_134, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 55.55/8.10 thf(func_def_135, type, sK70: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 55.55/8.10 thf(func_def_136, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 55.55/8.10 thf(func_def_137, type, sK72: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_138, type, sK73: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_139, type, sK74: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_140, type, sK75: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_141, type, sK76: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_142, type, sK77: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_143, type, sK78: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_144, type, sK79: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_145, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 55.55/8.10 thf(func_def_146, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 55.55/8.10 thf(func_def_147, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType]:(($o > (sum_sum @ X0 @ X1 > X2) > X2 > X1))).
% 55.55/8.10 thf(func_def_148, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:(($o > (sum_sum @ X0 @ X1 > X2) > X2 > X0))).
% 55.55/8.10 thf(func_def_149, type, sK84: (set @ sum_sum @ t @ product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_150, type, sK85: (set @ sum_sum @ t @ product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_151, type, sK86: (set @ sum_sum @ t @ product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_152, type, sK87: (set @ sum_sum @ t @ product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > dtree)).
% 55.55/8.10 thf(func_def_153, type, sK88: !>[X0: $tType, X1: $tType]:((set @ X1 > sum_sum @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_154, type, sK89: !>[X0: $tType, X1: $tType]:((set @ X0 > sum_sum @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_155, type, sK90: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_156, type, sK91: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_157, type, sK92: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_158, type, sK93: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_159, type, sK94: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_160, type, sK95: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_161, type, sK96: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X1))).
% 55.55/8.10 thf(func_def_162, type, sK97: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X0))).
% 55.55/8.10 thf(func_def_163, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X2))).
% 55.55/8.10 thf(func_def_164, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X1))).
% 55.55/8.10 thf(func_def_165, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 55.55/8.10 thf(func_def_166, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 55.55/8.10 thf(func_def_167, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X1))).
% 55.55/8.10 thf(func_def_168, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X0))).
% 55.55/8.10 thf(func_def_169, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X0))).
% 55.55/8.10 thf(func_def_170, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X2))).
% 55.55/8.10 thf(func_def_171, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X2))).
% 55.55/8.10 thf(func_def_172, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X1))).
% 55.55/8.10 thf(func_def_173, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X0))).
% 55.55/8.10 thf(func_def_174, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X2))).
% 55.55/8.10 thf(func_def_175, type, sK110: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_176, type, sK111: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_177, type, sK112: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 55.55/8.10 thf(func_def_178, type, sK113: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 55.55/8.10 thf(func_def_179, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X2))).
% 55.55/8.10 thf(func_def_180, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X1))).
% 55.55/8.10 thf(func_def_181, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ product_prod @ X3 @ X2 > (X2 > X0) > (X3 > X1) > product_prod @ X1 @ X0 > X3))).
% 55.55/8.10 thf(func_def_182, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ product_prod @ X3 @ X2 > (X2 > X0) > (X3 > X1) > product_prod @ X1 @ X0 > X2))).
% 55.55/8.10 thf(func_def_183, type, sK118: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 55.55/8.10 thf(func_def_184, type, sK119: !>[X0: $tType]:((set @ X0 > X0))).
% 55.55/8.10 thf(func_def_185, type, sK120: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_186, type, sK121: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_187, type, sK122: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_188, type, sK123: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_189, type, sK124: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_190, type, sK125: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_191, type, sK126: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_192, type, sK127: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_193, type, sK128: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_194, type, sK129: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_195, type, sK130: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_196, type, sK131: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_197, type, sK132: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_198, type, sK133: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_199, type, sK134: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 55.55/8.10 thf(func_def_200, type, sK135: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 55.55/8.10 thf(func_def_201, type, sK136: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 55.55/8.10 thf(func_def_202, type, sK137: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_203, type, sK138: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 55.55/8.10 thf(func_def_204, type, sK139: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_205, type, sK140: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_206, type, sK141: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X1))).
% 55.55/8.10 thf(func_def_208, type, sK143: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X1 > X2) > sum_sum @ X0 @ X1))).
% 55.55/8.10 thf(func_def_209, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X1 > X2) > sum_sum @ X1 @ X0))).
% 55.55/8.10 thf(func_def_210, type, sK145: !>[X0: $tType]:(((X0 > dtree > dtree) > X0 > dtree))).
% 55.55/8.10 thf(func_def_211, type, db6: !>[X0: $tType]:(X0)).
% 55.55/8.10 thf(func_def_212, type, sK146: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > sum_sum @ X1 @ X0))).
% 55.55/8.10 thf(func_def_213, type, sK147: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_214, type, sK148: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_215, type, sK149: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X0))).
% 55.55/8.10 thf(func_def_216, type, sK150: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X1))).
% 55.55/8.10 thf(func_def_217, type, sK151: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > sum_sum @ X1 @ X0))).
% 55.55/8.10 thf(func_def_218, type, sK152: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X0 > $o) @ X0 > ((X0 > X0 > $o) > X0 > X1) > (X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 55.55/8.10 thf(f7,axiom,(
% 55.55/8.10 ! [X0 : dtree,X1 : dtree] : (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X0)) @ (^[X2 : dtree] : ((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X1))))))))),
% 55.55/8.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_Inr__cont__par)).
% 55.55/8.10 thf(f22,axiom,(
% 55.55/8.10 ! [X0 : $tType,X1 : $tType] : (vimage @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : set @ X0] : ((collect @ X1 @ (^[X4 : X1] : ((member @ X0 @ (X2 @ X4) @ X3)))))))),
% 55.55/8.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_vimage__def)).
% 55.55/8.10 thf(f46,axiom,(
% 55.55/8.10 ! [X0 : $tType,X1 : X0,X2 : (X0 > $o)] : (((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))),
% 55.55/8.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_mem__Collect__eq)).
% 55.55/8.10 thf(f158,axiom,(
% 55.55/8.10 (parall1899940088le_par = ((unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c)))),
% 55.55/8.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_par__def)).
% 55.55/8.10 thf(f272,conjecture,(
% 55.55/8.10 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr1))))) @ (^[X1 : dtree] : ((collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr2))))))))))))),
% 55.55/8.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 55.55/8.10 thf(f273,negated_conjecture,(
% 55.55/8.10 ~ (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr1))))) @ (^[X1 : dtree] : ((collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr2))))))))))))),
% 55.55/8.10 inference(negated_conjecture,[status(cth)],[f272])).
% 55.55/8.10 thf(f284,plain,(
% 55.55/8.10 ! [X0 : dtree,X1 : dtree] : (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X0)) @ (^[X2 : dtree] : ((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X1))))))))),
% 55.55/8.10 inference(rectify,[],[f7])).
% 55.55/8.10 thf(f285,plain,(
% 55.55/8.10 ! [X0 : dtree,X1 : dtree] : (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X0)) @ (^[Y0 : dtree]: (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X1)))))))),
% 55.55/8.10 inference(fool_elimination,[],[f284])).
% 55.55/8.10 thf(f308,plain,(
% 55.55/8.10 ! [X0 : $tType,X1 : $tType] : (vimage @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : set @ X0] : ((collect @ X1 @ (^[X4 : X1] : ((member @ X0 @ (X2 @ X4) @ X3)))))))),
% 55.55/8.10 inference(rectify,[],[f22])).
% 55.55/8.10 thf(f309,plain,(
% 55.55/8.10 ! [X0 : $tType,X1 : $tType] : (vimage @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : set @ X0]: (collect @ X1 @ (^[Y2 : X1]: (member @ X0 @ (Y0 @ Y2) @ Y1)))))))),
% 55.55/8.10 inference(fool_elimination,[],[f308])).
% 55.55/8.10 thf(f668,plain,(
% 55.55/8.10 ~ (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr1))))) @ (^[X1 : dtree] : ((collect @ dtree @ (^[X2 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X2) @ (cont @ tr2))))))))))))),
% 55.55/8.10 inference(rectify,[],[f273])).
% 55.55/8.10 thf(f669,plain,(
% 55.55/8.10 ~ (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 inference(fool_elimination,[],[f668])).
% 55.55/8.10 thf(f687,plain,(
% 55.55/8.10 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) != ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 inference(flattening,[],[f669])).
% 55.55/8.10 thf(f931,plain,(
% 55.55/8.10 ( ! [X0 : dtree,X1 : dtree] : ((((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X0)) @ (^[Y0 : dtree]: (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ X1)))))))) )),
% 55.55/8.10 inference(cnf_transformation,[],[f285])).
% 55.55/8.10 thf(f948,plain,(
% 55.55/8.10 ( ! [X1 : $tType,X0 : $tType] : ((vimage @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : set @ X0]: (collect @ X1 @ (^[Y2 : X1]: (member @ X0 @ (Y0 @ Y2) @ Y1)))))))) )),
% 55.55/8.10 inference(cnf_transformation,[],[f309])).
% 55.55/8.10 thf(f976,plain,(
% 55.55/8.10 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))) )),
% 55.55/8.10 inference(cnf_transformation,[],[f46])).
% 55.55/8.10 thf(f1113,plain,(
% 55.55/8.10 (parall1899940088le_par = ((unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c)))),
% 55.55/8.10 inference(cnf_transformation,[],[f158])).
% 55.55/8.10 thf(f1248,plain,(
% 55.55/8.10 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) != ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 inference(cnf_transformation,[],[f687])).
% 55.55/8.10 thf(f1257,plain,(
% 55.55/8.10 ( ! [X0 : dtree,X1 : dtree] : (((((^[Y0 : dtree > sum_sum @ t @ dtree]: ((^[Y1 : set @ sum_sum @ t @ dtree]: (collect @ dtree @ (^[Y2 : dtree]: (member @ sum_sum @ t @ dtree @ (Y0 @ Y2) @ Y1)))))) @ sum_Inr @ dtree @ t @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ ((^[Y0 : dtree > sum_sum @ t @ dtree]: ((^[Y1 : set @ sum_sum @ t @ dtree]: (collect @ dtree @ (^[Y2 : dtree]: (member @ sum_sum @ t @ dtree @ (Y0 @ Y2) @ Y1)))))) @ sum_Inr @ dtree @ t @ (cont @ X0)) @ (^[Y0 : dtree]: ((^[Y1 : dtree > sum_sum @ t @ dtree]: ((^[Y2 : set @ sum_sum @ t @ dtree]: (collect @ dtree @ (^[Y3 : dtree]: (member @ sum_sum @ t @ dtree @ (Y1 @ Y3) @ Y2)))))) @ sum_Inr @ dtree @ t @ (cont @ X1)))))))) )),
% 55.55/8.10 inference(definition_unfolding,[],[f931,f948,f1113,f1113,f948,f948])).
% 55.55/8.10 thf(f1348,plain,(
% 55.55/8.10 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) != ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 inference(definition_unfolding,[],[f1248,f1113,f1113])).
% 55.55/8.10 thf(f1379,plain,(
% 55.55/8.10 ($true = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))) | ($true = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 inference(xor_proxy_clausification,[],[f1348])).
% 55.55/8.10 thf(f1380,plain,(
% 55.55/8.10 ($false = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))) | ($false = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 inference(xor_proxy_clausification,[],[f1348])).
% 55.55/8.10 thf(f1656,plain,(
% 55.55/8.10 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((member @ X0 @ X1 @ (collect @ X0 @ X2))) = $true) | (((X2 @ X1)) = $false)) )),
% 55.55/8.10 inference(iff_proxy_clausification,[],[f976])).
% 55.55/8.10 thf(f1657,plain,(
% 55.55/8.10 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((member @ X0 @ X1 @ (collect @ X0 @ X2))) = $false) | (((X2 @ X1)) = $true)) )),
% 55.55/8.10 inference(iff_proxy_clausification,[],[f976])).
% 55.55/8.10 thf(f1717,plain,(
% 55.55/8.10 ( ! [X0 : dtree,X1 : dtree] : ((((collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ X0 @ X1))))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ X0)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ X1)))))))))) )),
% 55.55/8.10 inference(beta-eta_normalization,[],[f1257])).
% 55.55/8.10 thf(f1725,definition,(
% 55.55/8.10 spl142_1 <=> ($false = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 introduced(definition,[new_symbols(definition,[spl142_1])],[avatar_definition])).
% 55.55/8.10 thf(f1726,plain,(
% 55.55/8.10 ($false != ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2)))))))))) | spl142_1),
% 55.55/8.10 inference(avatar_component_clause,[],[f1725])).
% 55.55/8.10 thf(f1727,plain,(
% 55.55/8.10 ($false = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2)))))))))) | ~spl142_1),
% 55.55/8.10 inference(avatar_component_clause,[],[f1725])).
% 55.55/8.10 thf(f1729,definition,(
% 55.55/8.10 spl142_2 <=> ($false = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))),
% 55.55/8.10 introduced(definition,[new_symbols(definition,[spl142_2])],[avatar_definition])).
% 55.55/8.10 thf(f1731,plain,(
% 55.55/8.10 ($false = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))) | ~spl142_2),
% 55.55/8.10 inference(avatar_component_clause,[],[f1729])).
% 55.55/8.10 thf(f1732,plain,(
% 55.55/8.10 spl142_1 | spl142_2),
% 55.55/8.10 inference(avatar_split_clause,[],[f1380,f1729,f1725])).
% 55.55/8.10 thf(f1734,definition,(
% 55.55/8.10 spl142_3 <=> ($true = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 55.55/8.10 introduced(definition,[new_symbols(definition,[spl142_3])],[avatar_definition])).
% 55.55/8.10 thf(f1736,plain,(
% 55.55/8.10 ($true = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c) @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2)))))))))) | ~spl142_3),
% 55.55/8.10 inference(avatar_component_clause,[],[f1734])).
% 55.55/8.10 thf(f1738,definition,(
% 55.55/8.10 spl142_4 <=> ($true = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))),
% 55.55/8.10 introduced(definition,[new_symbols(definition,[spl142_4])],[avatar_definition])).
% 55.55/8.10 thf(f1740,plain,(
% 55.55/8.10 ($true = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))) | ~spl142_4),
% 55.55/8.10 inference(avatar_component_clause,[],[f1738])).
% 55.55/8.10 thf(f1741,plain,(
% 55.55/8.10 spl142_3 | spl142_4),
% 55.55/8.10 inference(avatar_split_clause,[],[f1379,f1738,f1734])).
% 55.55/8.10 thf(f40316,plain,(
% 55.55/8.10 ($true = ((member @ dtree @ t2 @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))))) | ~spl142_3),
% 55.55/8.10 inference(constrained_superposition,[],[f1736,f1717])).
% 55.55/8.10 thf(f44421,plain,(
% 55.55/8.10 ($false = ((member @ dtree @ t2 @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))))) | ~spl142_1),
% 55.55/8.10 inference(forward_demodulation,[],[f1727,f1717])).
% 55.55/8.10 thf(f44427,plain,(
% 55.55/8.10 ($true = $false) | (~spl142_1 | ~spl142_3)),
% 55.55/8.10 inference(constrained_superposition,[],[f44421,f40316])).
% 55.55/8.10 thf(f44614,plain,(
% 55.55/8.10 $false | (~spl142_1 | ~spl142_3)),
% 55.55/8.10 inference(trivial_inequality_removal,[],[f44427])).
% 55.55/8.10 thf(f44615,plain,(
% 55.55/8.10 ~spl142_1 | ~spl142_3),
% 55.55/8.10 inference(avatar_contradiction_clause,[],[f44614])).
% 55.55/8.10 thf(f44671,plain,(
% 55.55/8.10 ($false != ((member @ dtree @ t2 @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))))) | spl142_1),
% 55.55/8.10 inference(forward_demodulation,[],[f1726,f1717])).
% 55.55/8.10 thf(f49200,plain,(
% 55.55/8.10 ($false != $false) | ($true = (((^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) @ t2))) | spl142_1),
% 55.55/8.10 inference(constrained_superposition,[],[f44671,f1657])).
% 55.55/8.10 thf(f49270,plain,(
% 55.55/8.10 ($true = (((^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) @ t2))) | spl142_1),
% 55.55/8.10 inference(trivial_inequality_removal,[],[f49200])).
% 55.55/8.10 thf(f49271,plain,(
% 55.55/8.10 ($true = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))) | spl142_1),
% 55.55/8.10 inference(beta-eta_normalization,[],[f49270])).
% 55.55/8.10 thf(f49402,plain,(
% 55.55/8.10 ($true = $false) | (spl142_1 | ~spl142_2)),
% 55.55/8.10 inference(forward_demodulation,[],[f49271,f1731])).
% 55.55/8.10 thf(f49403,plain,(
% 55.55/8.10 $false | (spl142_1 | ~spl142_2)),
% 55.55/8.10 inference(trivial_inequality_removal,[],[f49402])).
% 55.55/8.10 thf(f49404,plain,(
% 55.55/8.10 spl142_1 | ~spl142_2),
% 55.55/8.10 inference(avatar_contradiction_clause,[],[f49403])).
% 55.55/8.10 thf(f49863,plain,(
% 55.55/8.10 ($true = $false) | ($false = (((^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) @ t2))) | ~spl142_1),
% 55.55/8.10 inference(constrained_superposition,[],[f1656,f44421])).
% 55.55/8.10 thf(f49922,plain,(
% 55.55/8.10 ($false = (((^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) @ t2))) | ~spl142_1),
% 55.55/8.10 inference(trivial_inequality_removal,[],[f49863])).
% 55.55/8.10 thf(f49923,plain,(
% 55.55/8.10 ($false = ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))) | ~spl142_1),
% 55.55/8.10 inference(beta-eta_normalization,[],[f49922])).
% 55.55/8.10 thf(f50008,plain,(
% 55.55/8.10 spl142_2 | ~spl142_1),
% 55.55/8.10 inference(avatar_split_clause,[],[f49923,f1725,f1729])).
% 55.55/8.10 thf(f50223,plain,(
% 55.55/8.10 ($true = $false) | (~spl142_2 | ~spl142_4)),
% 55.55/8.10 inference(constrained_superposition,[],[f1731,f1740])).
% 55.55/8.10 thf(f50414,plain,(
% 55.55/8.10 $false | (~spl142_2 | ~spl142_4)),
% 55.55/8.10 inference(trivial_inequality_removal,[],[f50223])).
% 55.55/8.10 thf(f50415,plain,(
% 55.55/8.10 ~spl142_2 | ~spl142_4),
% 55.55/8.10 inference(avatar_contradiction_clause,[],[f50414])).
% 55.55/8.10 cnf(s1, plain, spl142_1 | spl142_2, inference(sat_conversion,[],[f1732])).
% 55.55/8.10 cnf(s2, plain, spl142_3 | spl142_4, inference(sat_conversion,[],[f1741])).
% 55.55/8.10 cnf(s1501, plain, ~spl142_1 | ~spl142_3, inference(sat_conversion,[],[f44615])).
% 55.55/8.10 cnf(s1635, plain, spl142_1 | ~spl142_2, inference(sat_conversion,[],[f49404])).
% 55.55/8.10 cnf(s1637, plain, ~spl142_1 | spl142_2, inference(sat_conversion,[],[f50008])).
% 55.55/8.10 cnf(s1645, plain, ~spl142_2 | ~spl142_4, inference(sat_conversion,[],[f50415])).
% 55.55/8.10 cnf(s1793, plain, spl142_1, inference(rat,[],[s1,s1635])).
% 55.55/8.10 cnf(s1794, plain, spl142_2, inference(rat,[],[s1637,s1793])).
% 55.55/8.10 cnf(s1795, plain, ~spl142_3, inference(rat,[],[s1501,s1793])).
% 55.55/8.10 cnf(s1796, plain, ~spl142_4, inference(rat,[],[s1645,s1794])).
% 55.55/8.10 cnf(s1797, plain, $false, inference(rat,[],[s2,s1796,s1795])).
% 55.55/8.10 thf(f50421,plain,(
% 55.55/8.10 $false),
% 55.55/8.10 inference(avatar_sat_refutation,[],[s1797])).
% 55.55/8.10 % SZS output end Proof for theBenchmark
% 55.55/8.10 % (3882798)------------------------------
% 55.55/8.10 % (3882798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.55/8.10 % (3882798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.55/8.10 % (3882798)CaDiCaL version: 2.1.3
% 55.55/8.10 % (3882798)Termination reason: Refutation
% 55.55/8.10 % (3882798)Time elapsed: 7.803 s
% 55.55/8.10 % (3882798)Peak memory usage: 68 MB
% 55.55/8.10 % (3882798)Instructions burned: 16243 (million)
% 55.55/8.10 % (3882792)Success in time 7.878 s
% 55.55/8.10 % Vampire exiting
%------------------------------------------------------------------------------