%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP182^2 : 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 : 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 08:11:01 AM UTC 2026
% Result : Theorem 21.36s 3.38s
% Output : Refutation 21.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP182^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 % Computer : n015.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Tue Sep 29 20:11:19 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 Running first-order model finding
% 0.24/0.28 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
% 8.74/1.71 % (4054934)Will run a generic schedule for satisfiability detection.
% 8.74/1.71 % (4054939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4019696614_2999 on theBenchmark for (2999ds/0Mi)
% 8.74/1.71 % (4054945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2723445317:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.74/1.71 % (4054940)% WARNING: option uhcvi not known.
% 8.74/1.71 % (4054942)dis+10_1_sil=32000:sp=arity:random_seed=65828085:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.74/1.71 % (4054943)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3101855518:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.74/1.71 % (4054944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4058764619:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.74/1.71 % (4054941)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1454491114:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.74/1.71 % (4054940)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2385980322:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.74/1.71 % (4054943)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.74/1.71 % (4054940)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.74/1.71 % Exception at run slice level
% 8.74/1.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.74/1.71 % (4054953)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1383686401:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.74/1.71 % (4054942)Instruction limit reached!
% 8.74/1.71 % (4054942)------------------------------
% 8.74/1.71 % (4054942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.71 % (4054942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.71 % (4054942)CaDiCaL version: 2.1.3
% 8.74/1.71 % (4054942)Termination reason: Instruction limit
% 8.74/1.71 % (4054942)Termination phase: Property scanning
% 8.74/1.71 % (4054942)Time elapsed: 0.083 s
% 8.74/1.71 % (4054942)Peak memory usage: 12 MB
% 8.74/1.71 % (4054942)Instructions burned: 104 (million)
% 8.74/1.71 % (4054945)Instruction limit reached!
% 8.74/1.71 % (4054945)------------------------------
% 8.74/1.71 % (4054945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.71 % (4054945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.71 % (4054945)CaDiCaL version: 2.1.3
% 8.74/1.71 % (4054945)Termination reason: Instruction limit
% 8.74/1.71 % (4054945)Termination phase: Saturation
% 8.74/1.71 % (4054945)Time elapsed: 0.096 s
% 8.74/1.71 % (4054945)Peak memory usage: 13 MB
% 8.74/1.71 % (4054945)Instructions burned: 160 (million)
% 8.74/1.71 % (4054943)Instruction limit reached!
% 8.74/1.71 % (4054943)------------------------------
% 8.74/1.71 % (4054943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.71 % (4054943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.71 % (4054943)CaDiCaL version: 2.1.3
% 8.74/1.71 % (4054943)Termination reason: Instruction limit
% 8.74/1.71 % (4054943)Termination phase: Property scanning
% 8.74/1.71 % (4054943)Time elapsed: 0.096 s
% 8.74/1.71 % (4054943)Peak memory usage: 12 MB
% 8.74/1.71 % (4054943)Instructions burned: 121 (million)
% 8.74/1.71 % (4054940)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.74/1.71 % (4054944)Instruction limit reached!
% 8.74/1.71 % (4054944)------------------------------
% 8.74/1.71 % (4054944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.71 % (4054944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.71 % (4054944)CaDiCaL version: 2.1.3
% 8.74/1.71 % (4054944)Termination reason: Instruction limit
% 8.74/1.71 % (4054944)Termination phase: Saturation
% 8.74/1.71 % (4054944)Time elapsed: 0.106 s
% 8.74/1.71 % (4054944)Peak memory usage: 13 MB
% 8.74/1.71 % (4054944)Instructions burned: 131 (million)
% 8.74/1.71 % (4054956)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=546857633:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.74/1.71 % (4054955)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=183153432:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 21.36/3.38 % (4054957)ott-21_1_sil=16000:fs=off:random_seed=3055633736:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.36/3.38 % (4054956)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.36/3.38 % (4054958)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2349397885:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.36/3.38 % (4054956)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054963)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=42246509:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.36/3.38 % (4054955)Instruction limit reached!
% 21.36/3.38 % (4054955)------------------------------
% 21.36/3.38 % (4054955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054955)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054955)Termination reason: Instruction limit
% 21.36/3.38 % (4054955)Termination phase: Saturation
% 21.36/3.38 % (4054955)Time elapsed: 0.106 s
% 21.36/3.38 % (4054955)Peak memory usage: 13 MB
% 21.36/3.38 % (4054955)Instructions burned: 131 (million)
% 21.36/3.38 % (4054965)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3482510839:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.36/3.38 % (4054957)Instruction limit reached!
% 21.36/3.38 % (4054957)------------------------------
% 21.36/3.38 % (4054957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054957)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054957)Termination reason: Instruction limit
% 21.36/3.38 % (4054957)Termination phase: Saturation
% 21.36/3.38 % (4054957)Time elapsed: 0.144 s
% 21.36/3.38 % (4054957)Peak memory usage: 13 MB
% 21.36/3.38 % (4054957)Instructions burned: 181 (million)
% 21.36/3.38 % (4054967)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2792657567:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054970)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=3055482311:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 21.36/3.38 % (4054970)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.36/3.38 % (4054956)Instruction limit reached!
% 21.36/3.38 % (4054956)------------------------------
% 21.36/3.38 % (4054956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054956)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054956)Termination reason: Instruction limit
% 21.36/3.38 % (4054956)Termination phase: Saturation
% 21.36/3.38 % (4054956)Time elapsed: 0.261 s
% 21.36/3.38 % (4054956)Peak memory usage: 16 MB
% 21.36/3.38 % (4054956)Instructions burned: 685 (million)
% 21.36/3.38 % (4054973)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=479314992:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054973)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.36/3.38 % (4054977)fmb+10_1_sil=64000:random_seed=3483104272:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 21.36/3.38 % (4054977)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054979)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2121873218:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 21.36/3.38 % (4054958)Instruction limit reached!
% 21.36/3.38 % (4054958)------------------------------
% 21.36/3.38 % (4054958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054958)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054958)Termination reason: Instruction limit
% 21.36/3.38 % (4054958)Termination phase: Saturation
% 21.36/3.38 % (4054958)Time elapsed: 0.416 s
% 21.36/3.38 % (4054958)Peak memory usage: 15 MB
% 21.36/3.38 % (4054958)Instructions burned: 477 (million)
% 21.36/3.38 % (4054981)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=548674541:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054983)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3238372262:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 21.36/3.38 % (4054983)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054985)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2067450956:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 21.36/3.38 % (4054985)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.36/3.38 % (4054985)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.36/3.38 % (4054970)Instruction limit reached!
% 21.36/3.38 % (4054970)------------------------------
% 21.36/3.38 % (4054970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054970)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054970)Termination reason: Instruction limit
% 21.36/3.38 % (4054970)Termination phase: Saturation
% 21.36/3.38 % (4054970)Time elapsed: 0.613 s
% 21.36/3.38 % (4054970)Peak memory usage: 19 MB
% 21.36/3.38 % (4054970)Instructions burned: 692 (million)
% 21.36/3.38 % (4054991)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3121177836:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4054973)Instruction limit reached!
% 21.36/3.38 % (4054973)------------------------------
% 21.36/3.38 % (4054973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054973)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054973)Termination reason: Instruction limit
% 21.36/3.38 % (4054973)Termination phase: Saturation
% 21.36/3.38 % (4054973)Time elapsed: 0.664 s
% 21.36/3.38 % (4054973)Peak memory usage: 20 MB
% 21.36/3.38 % (4054973)Instructions burned: 881 (million)
% 21.36/3.38 % (4054996)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2233590676:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 21.36/3.38 % (4054997)ott-2_1_sil=16000:newcnf=on:random_seed=1643061390:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 21.36/3.38 % (4054997)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4055002)ott+10_1_sil=32000:tgt=ground:random_seed=94160850:i=5114:av=off_2987 on theBenchmark for (2987ds/5114Mi)
% 21.36/3.38 % (4054965)Instruction limit reached!
% 21.36/3.38 % (4054965)------------------------------
% 21.36/3.38 % (4054965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054965)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054965)Termination reason: Instruction limit
% 21.36/3.38 % (4054965)Termination phase: Saturation
% 21.36/3.38 % (4054965)Time elapsed: 0.973 s
% 21.36/3.38 % (4054965)Peak memory usage: 22 MB
% 21.36/3.38 % (4054965)Instructions burned: 1180 (million)
% 21.36/3.38 % (4055005)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=501348091:i=54282_2987 on theBenchmark for (2987ds/54282Mi)
% 21.36/3.38 % Exception at run slice level
% 21.36/3.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.36/3.38 % (4055009)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3143372891:i=3512:aac=none_2985 on theBenchmark for (2985ds/3512Mi)
% 21.36/3.38 % (4055009)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.36/3.38 % (4054997)Instruction limit reached!
% 21.36/3.38 % (4054997)------------------------------
% 21.36/3.38 % (4054997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054997)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054997)Termination reason: Instruction limit
% 21.36/3.38 % (4054997)Termination phase: Saturation
% 21.36/3.38 % (4054997)Time elapsed: 0.639 s
% 21.36/3.38 % (4054997)Peak memory usage: 19 MB
% 21.36/3.38 % (4054997)Instructions burned: 869 (million)
% 21.36/3.38 % (4055013)dis+21_1_sil=32000:sas=cadical:random_seed=2243245083:i=3773:amm=off_2982 on theBenchmark for (2982ds/3773Mi)
% 21.36/3.38 % (4054985)Instruction limit reached!
% 21.36/3.38 % (4054985)------------------------------
% 21.36/3.38 % (4054985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4054985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4054985)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4054985)Termination reason: Instruction limit
% 21.36/3.38 % (4054985)Termination phase: Saturation
% 21.36/3.38 % (4054985)Time elapsed: 1.279 s
% 21.36/3.38 % (4054985)Peak memory usage: 22 MB
% 21.36/3.38 % (4054985)Instructions burned: 1472 (million)
% 21.36/3.38 % (4055017)ott+11_1_sil=16000:gs=on:random_seed=437728042:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2979 on theBenchmark for (2979ds/2251Mi)
% 21.36/3.38 % (4055017)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.36/3.38 % (4055017) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4054934-4055017"...
% 21.36/3.38 % (4055017)...printing done.
% 21.36/3.38 % (4055017)Refutation found. Thanks to Tanya!
% 21.36/3.38 % SZS status Theorem for theBenchmark
% 21.36/3.38 % SZS output start Proof for theBenchmark
% 21.36/3.38 thf(type_def_5, type, late_residual_Rep: $tType).
% 21.36/3.38 thf(type_def_6, type, late_subject_Rep: $tType).
% 21.36/3.38 thf(type_def_7, type, late_freeRes_Rep: $tType).
% 21.36/3.38 thf(type_def_8, type, late_residual: $tType).
% 21.36/3.38 thf(type_def_9, type, late_subject: $tType).
% 21.36/3.38 thf(type_def_10, type, late_freeRes: $tType).
% 21.36/3.38 thf(type_def_11, type, product_prod: ($tType * $tType) > $tType).
% 21.36/3.38 thf(type_def_12, type, pi_Rep: $tType).
% 21.36/3.38 thf(type_def_13, type, name: $tType).
% 21.36/3.38 thf(type_def_14, type, list: $tType > $tType).
% 21.36/3.38 thf(type_def_15, type, pi: $tType).
% 21.36/3.38 thf(type_def_16, type, set: $tType > $tType).
% 21.36/3.38 thf(type_def_17, type, sTfun: ($tType * $tType) > $tType).
% 21.36/3.38 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_1, type, fs_name: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_2, type, pt_name: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_5, type, cp_name_name: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 21.36/3.38 thf(func_def_8, type, input: (name > name > pi > pi)).
% 21.36/3.38 thf(func_def_9, type, res: (name > pi > pi)).
% 21.36/3.38 thf(func_def_10, type, sum: (pi > pi > pi)).
% 21.36/3.38 thf(func_def_11, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 21.36/3.38 thf(func_def_12, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 21.36/3.38 thf(func_def_13, type, late_OutputR: (name > name > late_freeRes)).
% 21.36/3.38 thf(func_def_14, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 21.36/3.38 thf(func_def_15, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 21.36/3.38 thf(func_def_16, type, late_r347633188eR_Rep: (late_freeRes > pi > late_residual_Rep)).
% 21.36/3.38 thf(func_def_17, type, late_BoundOutputS: (name > late_subject)).
% 21.36/3.38 thf(func_def_18, type, late_InputS: (name > late_subject)).
% 21.36/3.38 thf(func_def_19, type, late_transitions: (pi > late_residual > $o)).
% 21.36/3.38 thf(func_def_20, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_21, type, nil: !>[X0: $tType]:(list @ X0)).
% 21.36/3.38 thf(func_def_22, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 21.36/3.38 thf(func_def_23, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 21.36/3.38 thf(func_def_24, type, perm: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X0 > X1 > X1))).
% 21.36/3.38 thf(func_def_25, type, supports: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > $o))).
% 21.36/3.38 thf(func_def_26, type, swap: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0 > X0))).
% 21.36/3.38 thf(func_def_27, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_28, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 21.36/3.38 thf(func_def_29, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 21.36/3.38 thf(func_def_30, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 21.36/3.38 thf(func_def_31, type, id: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 21.36/3.38 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 21.36/3.38 thf(func_def_33, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 21.36/3.38 thf(func_def_34, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 21.36/3.38 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 21.36/3.38 thf(func_def_36, type, p: pi).
% 21.36/3.38 thf(func_def_37, type, pq: pi).
% 21.36/3.38 thf(func_def_38, type, p2: pi).
% 21.36/3.38 thf(func_def_39, type, q: pi).
% 21.36/3.38 thf(func_def_40, type, rel: set @ product_prod @ pi @ pi).
% 21.36/3.38 thf(func_def_41, type, a: late_subject).
% 21.36/3.38 thf(func_def_42, type, aa: name).
% 21.36/3.38 thf(func_def_43, type, x: name).
% 21.36/3.38 thf(func_def_44, type, y: name).
% 21.36/3.38 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 21.36/3.38 thf(func_def_50, type, db0: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 21.36/3.38 thf(func_def_52, type, vNOT: ($o > $o)).
% 21.36/3.38 thf(func_def_53, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_55, type, vIMP: ($o > $o > $o)).
% 21.36/3.38 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 21.36/3.38 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_59, type, db3: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_60, type, db5: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_61, type, db6: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 21.36/3.38 thf(func_def_63, type, sP0: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_64, type, sP1: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_65, type, sP2: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_66, type, sP3: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_67, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_68, type, sP5: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_69, type, sP6: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_70, type, sP7: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_71, type, sP8: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_72, type, sP9: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 21.36/3.38 thf(func_def_73, type, sP10: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > $o))).
% 21.36/3.38 thf(func_def_74, type, sP11: (name > pi > late_freeRes > pi > $o)).
% 21.36/3.38 thf(func_def_75, type, sP12: (pi > late_freeRes > (pi > $o) > name > $o)).
% 21.36/3.38 thf(func_def_76, type, sP13: !>[X0: $tType]:(((X0 > late_residual > $o) > $o))).
% 21.36/3.38 thf(func_def_77, type, sP14: !>[X0: $tType]:(((X0 > late_residual > $o) > $o))).
% 21.36/3.38 thf(func_def_78, type, sP15: (late_subject > name > pi > pi > name > name > $o)).
% 21.36/3.38 thf(func_def_79, type, sP16: (name > pi > late_subject > name > pi > $o)).
% 21.36/3.38 thf(func_def_80, type, sP17: (late_residual > pi > name > name > $o)).
% 21.36/3.38 thf(func_def_81, type, sP18: (name > pi > late_residual > $o)).
% 21.36/3.38 thf(func_def_82, type, sP19: (name > pi > late_residual > $o)).
% 21.36/3.38 thf(func_def_83, type, sP20: (pi > late_subject > (late_subject > pi > $o) > name > name > $o)).
% 21.36/3.38 thf(func_def_84, type, sP21: (pi > name > (late_subject > pi > $o) > late_subject > name > $o)).
% 21.36/3.38 thf(func_def_85, type, sP22: (pi > pi > name > set @ product_prod @ pi @ pi > $o)).
% 21.36/3.38 thf(func_def_86, type, sP23: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > $o))).
% 21.36/3.38 thf(func_def_87, type, sP24: (pi > pi > name > set @ product_prod @ pi @ pi > $o)).
% 21.36/3.38 thf(func_def_88, type, sP25: (pi > pi > set @ product_prod @ pi @ pi > $o)).
% 21.36/3.38 thf(func_def_89, type, sP26: (late_subject > pi > (late_subject > name > pi > $o) > name > name > name > pi > $o)).
% 21.36/3.38 thf(func_def_90, type, sK27: !>[X0: $tType]:((X0 > name))).
% 21.36/3.38 thf(func_def_91, type, sK28: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 21.36/3.38 thf(func_def_92, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0))).
% 21.36/3.38 thf(func_def_93, type, sK30: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X0))).
% 21.36/3.38 thf(func_def_94, type, sK31: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 21.36/3.38 thf(func_def_95, type, sK32: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 21.36/3.38 thf(func_def_96, type, sK33: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 21.36/3.38 thf(func_def_97, type, sK34: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 21.36/3.38 thf(func_def_98, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 21.36/3.38 thf(func_def_99, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 21.36/3.38 thf(func_def_100, type, sK37: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 21.36/3.38 thf(func_def_101, type, sK38: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > list @ X1))).
% 21.36/3.38 thf(func_def_102, type, sK39: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 21.36/3.38 thf(func_def_103, type, sK40: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 21.36/3.38 thf(func_def_104, type, sK41: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_105, type, sK42: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_106, type, sK43: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_107, type, sK44: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_108, type, sK45: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_109, type, sK46: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_110, type, sK47: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_111, type, sK48: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_112, type, sK49: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_113, type, sK50: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_114, type, sK51: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_115, type, sK52: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_116, type, sK53: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_117, type, sK54: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_118, type, sK55: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_119, type, sK56: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_120, type, sK57: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_121, type, sK58: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_122, type, sK59: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_123, type, sK60: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_124, type, sK61: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_125, type, sK62: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 21.36/3.38 thf(func_def_126, type, sK63: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_127, type, sK64: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 21.36/3.38 thf(func_def_128, type, sK65: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 21.36/3.38 thf(func_def_129, type, sK66: !>[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))).
% 21.36/3.38 thf(func_def_130, type, sK67: !>[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))).
% 21.36/3.38 thf(func_def_131, type, sK68: !>[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))).
% 21.36/3.38 thf(func_def_132, type, sK69: !>[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))).
% 21.36/3.38 thf(func_def_133, type, sK70: !>[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))).
% 21.36/3.38 thf(func_def_134, type, sK71: !>[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))).
% 21.36/3.38 thf(func_def_135, type, sK72: !>[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))).
% 21.36/3.38 thf(func_def_136, type, sK73: !>[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))).
% 21.36/3.38 thf(func_def_137, type, sK74: !>[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))).
% 21.36/3.38 thf(func_def_138, type, sK75: !>[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))).
% 21.36/3.38 thf(func_def_139, type, sK76: !>[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))).
% 21.36/3.38 thf(func_def_140, type, sK77: !>[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))).
% 21.36/3.38 thf(func_def_141, type, sK78: !>[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))).
% 21.36/3.38 thf(func_def_142, type, sK79: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_143, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 21.36/3.38 thf(func_def_144, type, sK81: !>[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))).
% 21.36/3.38 thf(func_def_145, type, sK82: !>[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))).
% 21.36/3.38 thf(func_def_146, type, sK83: !>[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))).
% 21.36/3.38 thf(func_def_147, type, sK84: !>[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))).
% 21.36/3.38 thf(func_def_148, type, sK85: !>[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))).
% 21.36/3.38 thf(func_def_149, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 21.36/3.38 thf(func_def_150, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 21.36/3.38 thf(func_def_151, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 21.36/3.38 thf(func_def_152, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_153, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 21.36/3.38 thf(func_def_154, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 21.36/3.38 thf(func_def_155, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_156, type, sK93: !>[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))).
% 21.36/3.38 thf(func_def_157, type, sK94: !>[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))).
% 21.36/3.38 thf(func_def_158, type, sK95: !>[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))).
% 21.36/3.38 thf(func_def_159, type, sK96: !>[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))).
% 21.36/3.38 thf(func_def_160, type, sK97: !>[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))).
% 21.36/3.38 thf(func_def_161, type, sK98: !>[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))).
% 21.36/3.38 thf(func_def_162, type, sK99: !>[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))).
% 21.36/3.38 thf(func_def_163, type, sK100: !>[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))).
% 21.36/3.38 thf(func_def_164, type, sK101: !>[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))).
% 21.36/3.38 thf(func_def_165, type, sK102: !>[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))).
% 21.36/3.38 thf(func_def_166, type, sK103: !>[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))).
% 21.36/3.38 thf(func_def_167, type, sK104: !>[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))).
% 21.36/3.38 thf(func_def_168, type, sK105: !>[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))).
% 21.36/3.38 thf(func_def_169, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 21.36/3.38 thf(func_def_170, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 21.36/3.38 thf(func_def_171, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 21.36/3.38 thf(func_def_172, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 21.36/3.38 thf(func_def_173, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 21.36/3.38 thf(func_def_174, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 21.36/3.38 thf(func_def_175, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 21.36/3.38 thf(func_def_176, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 21.36/3.38 thf(func_def_177, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 21.36/3.38 thf(func_def_178, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 21.36/3.38 thf(func_def_179, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 21.36/3.38 thf(func_def_180, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 21.36/3.38 thf(func_def_181, type, sK118: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 21.36/3.38 thf(func_def_182, type, sK119: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_183, type, sK120: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 21.36/3.38 thf(func_def_184, type, sK121: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 21.36/3.38 thf(func_def_185, type, sK122: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_186, type, sK123: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_187, type, sK124: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(func_def_188, type, sK125: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_189, type, sK126: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 21.36/3.38 thf(func_def_190, type, sK127: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 21.36/3.38 thf(func_def_191, type, sK128: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_192, type, sK129: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 21.36/3.38 thf(func_def_193, type, sK130: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 21.36/3.38 thf(func_def_194, type, sK131: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 21.36/3.38 thf(func_def_195, type, sK132: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_196, type, sK133: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_197, type, sK134: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_198, type, sK135: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_199, type, sK136: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_200, type, sK137: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_201, type, sK138: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_202, type, sK139: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_203, type, sK140: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_204, type, sK141: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_205, type, sK142: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 21.36/3.38 thf(func_def_206, type, sK143: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 21.36/3.38 thf(func_def_207, type, sK144: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 21.36/3.38 thf(func_def_208, type, sK145: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 21.36/3.38 thf(func_def_209, type, sK146: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 21.36/3.38 thf(func_def_210, type, sK147: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 21.36/3.38 thf(func_def_211, type, sK148: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 21.36/3.38 thf(func_def_212, type, sK149: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_213, type, sK150: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_214, type, sK151: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_215, type, sK152: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_216, type, sK153: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_217, type, sK154: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_218, type, sK155: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_219, type, sK156: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 21.36/3.38 thf(func_def_220, type, sK157: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(func_def_221, type, sK158: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(func_def_222, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_223, type, sK160: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(func_def_224, type, sK161: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 21.36/3.38 thf(func_def_225, type, sK162: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_226, type, sK163: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 21.36/3.38 thf(func_def_227, type, sK164: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 21.36/3.38 thf(func_def_228, type, sK165: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_229, type, sK166: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_230, type, sK167: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_231, type, sK168: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_232, type, sK169: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_233, type, sK170: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_234, type, sK171: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_235, type, sK172: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_236, type, sK173: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(func_def_237, type, sK174: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_238, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_239, type, sK176: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_240, type, sK177: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_241, type, sK178: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_242, type, sK179: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_243, type, sK180: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_244, type, sK181: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_245, type, sK182: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_246, type, sK183: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 21.36/3.38 thf(func_def_247, type, sK184: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_248, type, sK185: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 21.36/3.38 thf(func_def_249, type, sK186: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 21.36/3.38 thf(func_def_250, type, sK187: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 21.36/3.38 thf(func_def_251, type, sK188: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 21.36/3.38 thf(func_def_252, type, sK189: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 21.36/3.38 thf(func_def_253, type, sK190: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_254, type, sK191: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_255, type, sK192: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_256, type, sK193: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(func_def_257, type, sK194: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_258, type, sK195: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 21.36/3.38 thf(func_def_259, type, sK196: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 21.36/3.38 thf(func_def_260, type, sK197: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 21.36/3.38 thf(func_def_261, type, sK198: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 21.36/3.38 thf(func_def_262, type, sK199: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 21.36/3.38 thf(func_def_263, type, sK200: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 21.36/3.38 thf(func_def_264, type, sK201: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 21.36/3.38 thf(func_def_265, type, sK202: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 21.36/3.38 thf(func_def_266, type, sK203: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 21.36/3.38 thf(func_def_267, type, sK204: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 21.36/3.38 thf(func_def_268, type, sK205: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 21.36/3.38 thf(func_def_269, type, sK206: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 21.36/3.38 thf(func_def_270, type, sK207: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 21.36/3.38 thf(func_def_271, type, sK208: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 21.36/3.38 thf(func_def_272, type, sK209: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_273, type, sK210: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_274, type, sK211: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_275, type, sK212: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_276, type, sK213: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_277, type, sK214: (pi > name > late_subject > set @ product_prod @ pi @ pi > pi > pi)).
% 21.36/3.38 thf(func_def_278, type, sK215: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > late_subject))).
% 21.36/3.38 thf(func_def_279, type, sK216: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name))).
% 21.36/3.38 thf(func_def_280, type, sK217: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > pi))).
% 21.36/3.38 thf(func_def_281, type, sK218: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 21.36/3.38 thf(func_def_282, type, sK219: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_283, type, sK220: ((late_residual > $o) > late_freeRes)).
% 21.36/3.38 thf(func_def_284, type, sK221: ((late_residual > $o) > pi)).
% 21.36/3.38 thf(func_def_285, type, sK222: ((late_residual > $o) > late_subject)).
% 21.36/3.38 thf(func_def_286, type, sK223: ((late_residual > $o) > name)).
% 21.36/3.38 thf(func_def_287, type, sK224: ((late_residual > $o) > pi)).
% 21.36/3.38 thf(func_def_288, type, sK225: (name > pi > late_freeRes > pi > pi)).
% 21.36/3.38 thf(func_def_289, type, sK226: (name > pi > late_freeRes > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_290, type, sK227: (name > pi > late_freeRes > pi > pi)).
% 21.36/3.38 thf(func_def_291, type, sK228: (name > pi > late_freeRes > pi > name)).
% 21.36/3.38 thf(func_def_292, type, sK229: (pi > late_freeRes > (pi > $o) > name > pi)).
% 21.36/3.38 thf(func_def_293, type, sK230: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 21.36/3.38 thf(func_def_294, type, sK231: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 21.36/3.38 thf(func_def_295, type, sK232: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 21.36/3.38 thf(func_def_296, type, sK233: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 21.36/3.38 thf(func_def_297, type, sK234: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 21.36/3.38 thf(func_def_298, type, sK235: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 21.36/3.38 thf(func_def_299, type, sK236: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 21.36/3.38 thf(func_def_300, type, sK237: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 21.36/3.38 thf(func_def_301, type, sK238: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 21.36/3.38 thf(func_def_302, type, sK239: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 21.36/3.38 thf(func_def_303, type, sK240: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 21.36/3.38 thf(func_def_304, type, sK241: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 21.36/3.38 thf(func_def_305, type, sK242: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 21.36/3.38 thf(func_def_306, type, sK243: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 21.36/3.38 thf(func_def_307, type, sK244: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 21.36/3.38 thf(func_def_308, type, sK245: (name > pi > late_subject > name > pi > pi)).
% 21.36/3.38 thf(func_def_309, type, sK246: (name > pi > late_subject > name > pi > late_subject)).
% 21.36/3.38 thf(func_def_310, type, sK247: (name > pi > late_subject > name > pi > name)).
% 21.36/3.38 thf(func_def_311, type, sK248: (name > pi > late_subject > name > pi > pi)).
% 21.36/3.38 thf(func_def_312, type, sK249: (name > pi > late_subject > name > pi > name)).
% 21.36/3.38 thf(func_def_313, type, sK250: (late_subject > name > pi > pi > name > name > pi)).
% 21.36/3.38 thf(func_def_314, type, sK251: (pi > name > late_subject > pi > name > pi)).
% 21.36/3.38 thf(func_def_315, type, sK252: (pi > name > late_subject > pi > name > name)).
% 21.36/3.38 thf(func_def_316, type, sK253: (pi > name > late_subject > pi > name > name)).
% 21.36/3.38 thf(func_def_317, type, sK254: (name > pi > late_residual > pi)).
% 21.36/3.38 thf(func_def_318, type, sK255: (name > pi > late_residual > late_freeRes)).
% 21.36/3.38 thf(func_def_319, type, sK256: (name > pi > late_residual > pi)).
% 21.36/3.38 thf(func_def_320, type, sK257: (name > pi > late_residual > name)).
% 21.36/3.38 thf(func_def_321, type, sK258: (name > pi > late_residual > pi)).
% 21.36/3.38 thf(func_def_322, type, sK259: (name > pi > late_residual > late_subject)).
% 21.36/3.38 thf(func_def_323, type, sK260: (name > pi > late_residual > name)).
% 21.36/3.38 thf(func_def_324, type, sK261: (name > pi > late_residual > pi)).
% 21.36/3.38 thf(func_def_325, type, sK262: (name > pi > late_residual > name)).
% 21.36/3.38 thf(func_def_326, type, sK263: (late_residual > pi > name > name > pi)).
% 21.36/3.38 thf(func_def_327, type, sK264: (late_residual > pi > name > pi)).
% 21.36/3.38 thf(func_def_328, type, sK265: (late_residual > pi > name > name)).
% 21.36/3.38 thf(func_def_329, type, sK266: (late_residual > pi > name > name)).
% 21.36/3.38 thf(func_def_330, type, sK267: (pi > name > (late_subject > pi > $o) > late_subject > name > pi)).
% 21.36/3.38 thf(func_def_331, type, sK268: (pi > late_subject > (late_subject > pi > $o) > name > name > name)).
% 21.36/3.38 thf(func_def_332, type, sK269: (pi > late_subject > (late_subject > pi > $o) > name > name > pi)).
% 21.36/3.38 thf(func_def_333, type, sK270: (pi > pi > name > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_334, type, sK271: (pi > pi > name > set @ product_prod @ pi @ pi > late_freeRes)).
% 21.36/3.38 thf(func_def_335, type, sK272: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > pi))).
% 21.36/3.38 thf(func_def_336, type, sK273: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > late_subject))).
% 21.36/3.38 thf(func_def_337, type, sK274: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > name))).
% 21.36/3.38 thf(func_def_338, type, sK275: (pi > pi > name > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_339, type, sK276: (pi > pi > name > set @ product_prod @ pi @ pi > name)).
% 21.36/3.38 thf(func_def_340, type, sK277: (pi > pi > set @ product_prod @ pi @ pi > late_subject)).
% 21.36/3.38 thf(func_def_341, type, sK278: (pi > pi > set @ product_prod @ pi @ pi > name)).
% 21.36/3.38 thf(func_def_342, type, sK279: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_343, type, sK280: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_344, type, sK281: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_345, type, sK282: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > X0))).
% 21.36/3.38 thf(func_def_346, type, sK283: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > X0))).
% 21.36/3.38 thf(func_def_347, type, sK284: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_348, type, sK285: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_349, type, sK286: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_350, type, sK287: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 21.36/3.38 thf(func_def_351, type, sK288: (set @ product_prod @ pi @ pi > late_subject > pi > name > pi > pi)).
% 21.36/3.38 thf(func_def_352, type, sK289: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 21.36/3.38 thf(func_def_353, type, sK290: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_354, type, sK291: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_355, type, sK292: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_356, type, sK293: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_357, type, sK294: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_358, type, sK295: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_359, type, sK296: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_360, type, sK297: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_361, type, sK298: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_362, type, sK299: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_363, type, sK300: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_364, type, sK301: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_365, type, sK302: (set @ product_prod @ pi @ pi > pi > late_subject > name > pi > pi)).
% 21.36/3.38 thf(func_def_366, type, sK303: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 21.36/3.38 thf(func_def_367, type, sK304: (set @ product_prod @ pi @ pi > pi > pi > late_subject > name > pi)).
% 21.36/3.38 thf(func_def_368, type, sK305: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes > pi)).
% 21.36/3.38 thf(func_def_369, type, sK306: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_370, type, sK307: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_371, type, sK308: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_372, type, sK309: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_373, type, sK310: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_374, type, sK311: (late_subject > set @ product_prod @ pi @ pi > name > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_375, type, sK312: (late_subject > set @ product_prod @ pi @ pi > name > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_376, type, sK313: (late_subject > set @ product_prod @ pi @ pi > name > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_377, type, sK314: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_378, type, sK315: (late_subject > set @ product_prod @ pi @ pi > name > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_379, type, sK316: (late_subject > set @ product_prod @ pi @ pi > name > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_380, type, sK317: (late_subject > set @ product_prod @ pi @ pi > name > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_381, type, sK318: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_382, type, sK319: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_383, type, sK320: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_384, type, sK321: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_385, type, sK322: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_386, type, sK323: (set @ product_prod @ pi @ pi > late_freeRes > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_387, type, sK324: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_388, type, sK325: (set @ product_prod @ pi @ pi > late_freeRes > pi > list @ product_prod @ name @ name > pi > pi)).
% 21.36/3.38 thf(func_def_389, type, sK326: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 21.36/3.38 thf(func_def_390, type, sK327: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 21.36/3.38 thf(func_def_391, type, sK328: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 21.36/3.38 thf(func_def_392, type, sK329: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 21.36/3.38 thf(func_def_393, type, sK330: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 21.36/3.38 thf(func_def_394, type, sK331: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 21.36/3.38 thf(func_def_395, type, sK332: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 21.36/3.38 thf(func_def_396, type, sK333: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 21.36/3.38 thf(func_def_397, type, sK334: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 21.36/3.38 thf(func_def_398, type, sK335: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 21.36/3.38 thf(func_def_399, type, sK336: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 21.36/3.38 thf(func_def_400, type, sK337: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 21.36/3.38 thf(func_def_401, type, sK338: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_402, type, sK339: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_403, type, sK340: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_404, type, sK341: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_405, type, sK342: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_406, type, sK343: (set @ product_prod @ pi @ pi > late_subject > pi > pi > name > pi)).
% 21.36/3.38 thf(func_def_407, type, sK344: (set @ product_prod @ pi @ pi > late_subject > pi > pi > name > pi)).
% 21.36/3.38 thf(func_def_408, type, sK345: (set @ product_prod @ pi @ pi > late_subject > pi > pi > name > pi)).
% 21.36/3.38 thf(func_def_409, type, sK346: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_410, type, sK347: (set @ product_prod @ pi @ pi > late_subject > pi > pi > name > pi)).
% 21.36/3.38 thf(func_def_411, type, sK348: (set @ product_prod @ pi @ pi > late_subject > pi > pi > name > pi)).
% 21.36/3.38 thf(func_def_412, type, sK349: (set @ product_prod @ pi @ pi > late_subject > pi > pi > name > pi)).
% 21.36/3.38 thf(func_def_413, type, sK350: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_414, type, sK351: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_415, type, sK352: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_416, type, sK353: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_417, type, sK354: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_418, type, sK355: (set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 21.36/3.38 thf(func_def_419, type, sK356: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_420, type, sK357: (set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 21.36/3.38 thf(func_def_421, type, sK358: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_422, type, sK359: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_423, type, sK360: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_424, type, sK361: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_425, type, sK362: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_426, type, sK363: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_427, type, sK364: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_428, type, sK365: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 21.36/3.38 thf(func_def_429, type, sK366: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 21.36/3.38 thf(func_def_430, type, sK367: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 21.36/3.38 thf(func_def_431, type, sK368: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_432, type, sK369: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 21.36/3.38 thf(func_def_433, type, sK370: (name > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 21.36/3.38 thf(func_def_434, type, sK371: (name > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 21.36/3.38 thf(func_def_435, type, sK372: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 21.36/3.38 thf(func_def_436, type, sK373: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 21.36/3.38 thf(func_def_437, type, sK374: !>[X0: $tType]:((list @ X0 > X0))).
% 21.36/3.38 thf(f1,axiom,(
% 21.36/3.38 (ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)),
% 21.36/3.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Id)).
% 21.36/3.38 thf(f95,axiom,(
% 21.36/3.38 ! [X0 : set @ product_prod @ pi @ pi,X1 : pi,X2 : late_subject,X3 : name] : ((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X0) => (strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0))),
% 21.36/3.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_derivativeReflexive)).
% 21.36/3.38 thf(f302,axiom,(
% 21.36/3.38 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 21.36/3.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T)).
% 21.36/3.38 thf(f305,conjecture,(
% 21.36/3.38 (strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)),
% 21.36/3.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 21.36/3.38 thf(f306,negated_conjecture,(
% 21.36/3.38 ~(strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)),
% 21.36/3.38 inference(negated_conjecture,[status(cth)],[f305])).
% 21.36/3.38 thf(f307,plain,(
% 21.36/3.38 (ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)),
% 21.36/3.38 inference(rectify,[],[f1])).
% 21.36/3.38 thf(f308,plain,(
% 21.36/3.38 (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) = $true)),
% 21.36/3.38 inference(fool_elimination,[],[f307])).
% 21.36/3.38 thf(f420,plain,(
% 21.36/3.38 ! [X0 : set @ product_prod @ pi @ pi,X1 : pi,X2 : late_subject,X3 : name] : ((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X0) => (strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0))),
% 21.36/3.38 inference(rectify,[],[f95])).
% 21.36/3.38 thf(f421,plain,(
% 21.36/3.38 ! [X0 : set @ product_prod @ pi @ pi,X1 : pi,X2 : late_subject,X3 : name] : ((((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X0)) = $true) => (((strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0)) = $true))),
% 21.36/3.38 inference(fool_elimination,[],[f420])).
% 21.36/3.38 thf(f778,plain,(
% 21.36/3.38 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 21.36/3.38 inference(fool_elimination,[],[f302])).
% 21.36/3.38 thf(f783,plain,(
% 21.36/3.38 ~(strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)),
% 21.36/3.38 inference(rectify,[],[f306])).
% 21.36/3.38 thf(f784,plain,(
% 21.36/3.38 ~ (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) = $true)),
% 21.36/3.38 inference(fool_elimination,[],[f783])).
% 21.36/3.38 thf(f811,plain,(
% 21.36/3.38 (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) != $true)),
% 21.36/3.38 inference(flattening,[],[f784])).
% 21.36/3.38 thf(f898,plain,(
% 21.36/3.38 ! [X0 : set @ product_prod @ pi @ pi,X1 : pi,X2 : late_subject,X3 : name] : ((((strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0)) = $true) | (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X0)) != $true))),
% 21.36/3.38 inference(ennf_transformation,[],[f421])).
% 21.36/3.38 thf(f1264,plain,(
% 21.36/3.38 (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) = $true)),
% 21.36/3.38 inference(cnf_transformation,[],[f308])).
% 21.36/3.38 thf(f1380,plain,(
% 21.36/3.38 ( ! [X2 : late_subject,X3 : name,X0 : set @ product_prod @ pi @ pi,X1 : pi] : ((((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X0)) != $true) | (((strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0)) = $true)) )),
% 21.36/3.38 inference(cnf_transformation,[],[f898])).
% 21.36/3.38 thf(f1684,plain,(
% 21.36/3.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 21.36/3.38 inference(cnf_transformation,[],[f778])).
% 21.36/3.38 thf(f1687,plain,(
% 21.36/3.38 (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) != $true)),
% 21.36/3.38 inference(cnf_transformation,[],[f811])).
% 21.36/3.38 thf(f5998,plain,(
% 21.36/3.38 ( ! [X2 : name,X0 : pi,X1 : late_subject] : (($true != $true) | ($true = ((strong2129052853vative @ X0 @ X0 @ X1 @ X2 @ rel)))) )),
% 21.36/3.38 inference(constrained_superposition,[],[f1380,f1264])).
% 21.36/3.38 thf(f5999,plain,(
% 21.36/3.38 ( ! [X2 : name,X0 : pi,X1 : late_subject] : (($true = ((strong2129052853vative @ X0 @ X0 @ X1 @ X2 @ rel)))) )),
% 21.36/3.38 inference(trivial_inequality_removal,[],[f5998])).
% 21.36/3.38 thf(f7866,plain,(
% 21.36/3.38 ($true != $true) | (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) = $false)),
% 21.36/3.38 inference(constrained_superposition,[],[f1687,f1684])).
% 21.36/3.38 thf(f7885,plain,(
% 21.36/3.38 (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) = $false)),
% 21.36/3.38 inference(trivial_inequality_removal,[],[f7866])).
% 21.36/3.38 thf(f7953,plain,(
% 21.36/3.38 ($true = $false)),
% 21.36/3.38 inference(forward_demodulation,[],[f7885,f5999])).
% 21.36/3.38 thf(f7954,plain,(
% 21.36/3.38 $false),
% 21.36/3.38 inference(trivial_inequality_removal,[],[f7953])).
% 21.36/3.38 % SZS output end Proof for theBenchmark
% 21.36/3.38 % (4055017)------------------------------
% 21.36/3.38 % (4055017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/3.38 % (4055017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.38 % (4055017)CaDiCaL version: 2.1.3
% 21.36/3.38 % (4055017)Termination reason: Refutation
% 21.36/3.38 % (4055017)Time elapsed: 0.988 s
% 21.36/3.38 % (4055017)Peak memory usage: 23 MB
% 21.36/3.38 % (4055017)Instructions burned: 1321 (million)
% 21.36/3.38 % (4054934)Success in time 3.084 s
% 21.36/3.38 % Vampire exiting
%------------------------------------------------------------------------------