%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT115^1 : 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 : n003.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 07:48:54 AM UTC 2026
% Result : Theorem 13.85s 2.24s
% Output : Refutation 13.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT115^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n003.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 17:59:44 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.18/1.16 % (2850880)Will run a generic schedule for satisfiability detection.
% 6.18/1.16 % (2850889)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=381888597:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.18/1.16 % (2850886)% WARNING: option uhcvi not known.
% 6.18/1.16 % (2850886)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=258705188:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.18/1.16 % (2850887)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4021627903:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.18/1.16 % (2850890)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1471783483:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.18/1.16 % (2850889)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.18/1.16 % (2850888)dis+10_1_sil=32000:sp=arity:random_seed=1442160677:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.18/1.16 % (2850886)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.18/1.16 % (2850891)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2744989426:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.18/1.16 % (2850885)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1019081295_2999 on theBenchmark for (2999ds/0Mi)
% 6.18/1.16 % (2850889)Instruction limit reached!
% 6.18/1.16 % (2850889)------------------------------
% 6.18/1.16 % (2850889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.16 % (2850889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.16 % (2850889)CaDiCaL version: 2.1.3
% 6.18/1.16 % (2850889)Termination reason: Instruction limit
% 6.18/1.16 % (2850889)Termination phase: Saturation
% 6.18/1.16 % (2850889)Time elapsed: 0.028 s
% 6.18/1.16 % (2850889)Peak memory usage: 13 MB
% 6.18/1.16 % (2850889)Instructions burned: 120 (million)
% 6.18/1.16 % (2850899)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2420677796:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.18/1.16 % (2850886)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.18/1.16 % Exception at run slice level
% 6.18/1.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.18/1.16 % (2850902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1679707114:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.18/1.16 % (2850888)Instruction limit reached!
% 6.18/1.16 % (2850888)------------------------------
% 6.18/1.16 % (2850888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.16 % (2850888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.16 % (2850888)CaDiCaL version: 2.1.3
% 6.18/1.16 % (2850888)Termination reason: Instruction limit
% 6.18/1.16 % (2850888)Termination phase: Saturation
% 6.18/1.16 % (2850888)Time elapsed: 0.066 s
% 6.18/1.16 % (2850888)Peak memory usage: 12 MB
% 6.18/1.16 % (2850888)Instructions burned: 103 (million)
% 6.18/1.16 % (2850890)Instruction limit reached!
% 6.18/1.16 % (2850890)------------------------------
% 6.18/1.16 % (2850890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.16 % (2850890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.16 % (2850890)CaDiCaL version: 2.1.3
% 6.18/1.16 % (2850890)Termination reason: Instruction limit
% 6.18/1.16 % (2850890)Termination phase: Saturation
% 6.18/1.16 % (2850890)Time elapsed: 0.071 s
% 6.18/1.16 % (2850890)Peak memory usage: 13 MB
% 6.18/1.16 % (2850890)Instructions burned: 131 (million)
% 6.18/1.16 % (2850904)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=1095293504:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.18/1.16 % Exception at run slice level
% 6.18/1.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.18/1.16 % (2850902)Instruction limit reached!
% 6.18/1.16 % (2850902)------------------------------
% 6.18/1.16 % (2850902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.16 % (2850902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.16 % (2850902)CaDiCaL version: 2.1.3
% 6.18/1.16 % (2850902)Termination reason: Instruction limit
% 13.85/2.24 % (2850902)Termination phase: Saturation
% 13.85/2.24 % (2850902)Time elapsed: 0.033 s
% 13.85/2.24 % (2850902)Peak memory usage: 13 MB
% 13.85/2.24 % (2850902)Instructions burned: 137 (million)
% 13.85/2.24 % (2850905)ott-21_1_sil=16000:fs=off:random_seed=2715609454:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.85/2.24 % (2850908)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4057339241:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 13.85/2.24 % (2850904)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.85/2.24 % (2850907)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3121946977:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850904)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.85/2.24 % (2850913)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2654273901:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 13.85/2.24 % (2850891)Instruction limit reached!
% 13.85/2.24 % (2850891)------------------------------
% 13.85/2.24 % (2850891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850891)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850891)Termination reason: Instruction limit
% 13.85/2.24 % (2850891)Termination phase: Saturation
% 13.85/2.24 % (2850891)Time elapsed: 0.133 s
% 13.85/2.24 % (2850891)Peak memory usage: 14 MB
% 13.85/2.24 % (2850891)Instructions burned: 159 (million)
% 13.85/2.24 % (2850915)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2296287582:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 13.85/2.24 % (2850905)Instruction limit reached!
% 13.85/2.24 % (2850905)------------------------------
% 13.85/2.24 % (2850905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850905)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850905)Termination reason: Instruction limit
% 13.85/2.24 % (2850905)Termination phase: Saturation
% 13.85/2.24 % (2850905)Time elapsed: 0.151 s
% 13.85/2.24 % (2850905)Peak memory usage: 13 MB
% 13.85/2.24 % (2850905)Instructions burned: 180 (million)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850917)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=2071798282: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)
% 13.85/2.24 % (2850918)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3588143787:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 13.85/2.24 % (2850917)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.85/2.24 % (2850918)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.85/2.24 % (2850913)Instruction limit reached!
% 13.85/2.24 % (2850913)------------------------------
% 13.85/2.24 % (2850913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850913)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850913)Termination reason: Instruction limit
% 13.85/2.24 % (2850913)Termination phase: Saturation
% 13.85/2.24 % (2850913)Time elapsed: 0.312 s
% 13.85/2.24 % (2850913)Peak memory usage: 19 MB
% 13.85/2.24 % (2850913)Instructions burned: 1181 (million)
% 13.85/2.24 % (2850921)fmb+10_1_sil=64000:random_seed=3471972493:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 13.85/2.24 % (2850921)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850923)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2257733063:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850925)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1650850458:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850927)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2749783323:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 13.85/2.24 % (2850927)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.85/2.24 % (2850904)Instruction limit reached!
% 13.85/2.24 % (2850904)------------------------------
% 13.85/2.24 % (2850904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850904)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850904)Termination reason: Instruction limit
% 13.85/2.24 % (2850904)Termination phase: Saturation
% 13.85/2.24 % (2850904)Time elapsed: 0.495 s
% 13.85/2.24 % (2850904)Peak memory usage: 15 MB
% 13.85/2.24 % (2850904)Instructions burned: 684 (million)
% 13.85/2.24 % (2850929)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2449256135:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 13.85/2.24 % (2850907)Instruction limit reached!
% 13.85/2.24 % (2850907)------------------------------
% 13.85/2.24 % (2850907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850907)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850907)Termination reason: Instruction limit
% 13.85/2.24 % (2850907)Termination phase: Saturation
% 13.85/2.24 % (2850907)Time elapsed: 0.471 s
% 13.85/2.24 % (2850907)Peak memory usage: 14 MB
% 13.85/2.24 % (2850907)Instructions burned: 477 (million)
% 13.85/2.24 % (2850929)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.85/2.24 % (2850929)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.85/2.24 % (2850931)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=701045986:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850933)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2787343113:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 13.85/2.24 % (2850917)Instruction limit reached!
% 13.85/2.24 % (2850917)------------------------------
% 13.85/2.24 % (2850917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850917)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850917)Termination reason: Instruction limit
% 13.85/2.24 % (2850917)Termination phase: Saturation
% 13.85/2.24 % (2850917)Time elapsed: 0.427 s
% 13.85/2.24 % (2850917)Peak memory usage: 17 MB
% 13.85/2.24 % (2850917)Instructions burned: 692 (million)
% 13.85/2.24 % (2850935)ott-2_1_sil=16000:newcnf=on:random_seed=3850213741:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850937)ott+10_1_sil=32000:tgt=ground:random_seed=708636018:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 13.85/2.24 % (2850935)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.85/2.24 % (2850918)Instruction limit reached!
% 13.85/2.24 % (2850918)------------------------------
% 13.85/2.24 % (2850918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850918)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850918)Termination reason: Instruction limit
% 13.85/2.24 % (2850918)Termination phase: Saturation
% 13.85/2.24 % (2850918)Time elapsed: 0.530 s
% 13.85/2.24 % (2850918)Peak memory usage: 18 MB
% 13.85/2.24 % (2850918)Instructions burned: 879 (million)
% 13.85/2.24 % (2850939)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=308659354:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 13.85/2.24 % Exception at run slice level
% 13.85/2.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.85/2.24 % (2850941)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=17863249:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 13.85/2.24 % (2850941)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.85/2.24 % (2850929)Instruction limit reached!
% 13.85/2.24 % (2850929)------------------------------
% 13.85/2.24 % (2850929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850929)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850929)Termination reason: Instruction limit
% 13.85/2.24 % (2850929)Termination phase: Saturation
% 13.85/2.24 % (2850929)Time elapsed: 0.394 s
% 13.85/2.24 % (2850929)Peak memory usage: 17 MB
% 13.85/2.24 % (2850929)Instructions burned: 1475 (million)
% 13.85/2.24 % (2850943)dis+21_1_sil=32000:sas=cadical:random_seed=4276775384:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 13.85/2.24 % (2850935)Instruction limit reached!
% 13.85/2.24 % (2850935)------------------------------
% 13.85/2.24 % (2850935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.24 % (2850935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.24 % (2850935)CaDiCaL version: 2.1.3
% 13.85/2.24 % (2850935)Termination reason: Instruction limit
% 13.85/2.24 % (2850935)Termination phase: Saturation
% 13.85/2.24 % (2850935)Time elapsed: 0.612 s
% 13.85/2.24 % (2850935)Peak memory usage: 15 MB
% 13.85/2.24 % (2850935)Instructions burned: 870 (million)
% 13.85/2.24 % (2850946)ott+11_1_sil=16000:gs=on:random_seed=1309962418:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2985 on theBenchmark for (2985ds/2251Mi)
% 13.85/2.24 % (2850946)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.85/2.24 % (2850943) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2850880-2850943"...
% 13.85/2.24 % (2850943)...printing done.
% 13.85/2.24 % (2850943)Refutation found. Thanks to Tanya!
% 13.85/2.24 % SZS status Theorem for theBenchmark
% 13.85/2.24 % SZS output start Proof for theBenchmark
% 13.85/2.24 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 13.85/2.24 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 13.85/2.24 thf(type_def_7, type, set: $tType > $tType).
% 13.85/2.24 thf(type_def_8, type, itself: $tType > $tType).
% 13.85/2.24 thf(type_def_9, type, a: $tType).
% 13.85/2.24 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 13.85/2.24 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 13.85/2.24 thf(func_def_1, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 13.85/2.24 thf(func_def_2, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 13.85/2.24 thf(func_def_3, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 13.85/2.24 thf(func_def_4, type, coindu1928975208n_lset: !>[X0: $tType]:((set @ X0 > coindu1593790203_llist @ X0 > set @ X0))).
% 13.85/2.24 thf(func_def_5, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.24 thf(func_def_6, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 13.85/2.24 thf(func_def_7, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_8, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 13.85/2.25 thf(func_def_9, type, coindu882539134_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coindu1593790203_llist @ X1 > X0) > coindu1593790203_llist @ X1 > X0))).
% 13.85/2.25 thf(func_def_10, type, coindu1244876290_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coindu1593790203_llist @ X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 13.85/2.25 thf(func_def_11, type, coindu1046438764le_lhd: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_12, type, coindu987187967t_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X1 > $o))).
% 13.85/2.25 thf(func_def_13, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 13.85/2.25 thf(func_def_14, type, coindu1112613586e_lset: !>[X0: $tType]:((coindu1593790203_llist @ X0 > set @ X0))).
% 13.85/2.25 thf(func_def_15, type, coindu1047225960le_ltl: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_16, type, coindu567634248member: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o))).
% 13.85/2.25 thf(func_def_17, type, coindu1696667936prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 13.85/2.25 thf(func_def_18, type, coindu1599971794_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 13.85/2.25 thf(func_def_19, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 13.85/2.25 thf(func_def_20, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 13.85/2.25 thf(func_def_21, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 13.85/2.25 thf(func_def_22, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 13.85/2.25 thf(func_def_23, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 13.85/2.25 thf(func_def_24, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 13.85/2.25 thf(func_def_25, type, type2: !>[X0: $tType]:(itself @ X0)).
% 13.85/2.25 thf(func_def_26, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 13.85/2.25 thf(func_def_27, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 13.85/2.25 thf(func_def_28, type, xs: coindu1593790203_llist @ a).
% 13.85/2.25 thf(func_def_29, type, ys: coindu1593790203_llist @ a).
% 13.85/2.25 thf(func_def_30, type, zs: coindu1593790203_llist @ a).
% 13.85/2.25 thf(func_def_34, type, vAND: ($o > $o > $o)).
% 13.85/2.25 thf(func_def_35, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 13.85/2.25 thf(func_def_36, type, vNOT: ($o > $o)).
% 13.85/2.25 thf(func_def_37, type, vOR: ($o > $o > $o)).
% 13.85/2.25 thf(func_def_38, type, db0: !>[X0: $tType]:(X0)).
% 13.85/2.25 thf(func_def_39, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 13.85/2.25 thf(func_def_40, type, db1: !>[X0: $tType]:(X0)).
% 13.85/2.25 thf(func_def_41, type, db2: !>[X0: $tType]:(X0)).
% 13.85/2.25 thf(func_def_42, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 13.85/2.25 thf(func_def_43, type, db4: !>[X0: $tType]:(X0)).
% 13.85/2.25 thf(func_def_44, type, db3: !>[X0: $tType]:(X0)).
% 13.85/2.25 thf(func_def_45, type, db5: !>[X0: $tType]:(X0)).
% 13.85/2.25 thf(func_def_46, type, vIMP: ($o > $o > $o)).
% 13.85/2.25 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 13.85/2.25 thf(func_def_48, type, sP0: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 13.85/2.25 thf(func_def_49, type, sK1: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_50, type, sK2: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_51, type, sK3: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_52, type, sK4: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_53, type, sK5: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_54, type, sK6: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_55, type, sK7: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_56, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 13.85/2.25 thf(func_def_57, type, sK9: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_58, type, sK10: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_59, type, sK11: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_60, type, sK12: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_61, type, sK13: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_62, type, sK14: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_63, type, sK15: !>[X0: $tType]:((set @ product_prod @ coindu1593790203_llist @ X0 @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_64, type, sK16: !>[X0: $tType]:((set @ product_prod @ coindu1593790203_llist @ X0 @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_65, type, sK17: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_66, type, sK18: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_67, type, sK19: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_68, type, sK20: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_69, type, sK21: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_70, type, sK22: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_71, type, sK23: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_72, type, sK24: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_73, type, sK25: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_74, type, sK26: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_75, type, sK27: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_76, type, sK28: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_77, type, sK29: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_78, type, sK30: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_79, type, sK31: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_80, type, sK32: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_81, type, sK33: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_82, type, sK34: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_83, type, sK35: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > X0))).
% 13.85/2.25 thf(func_def_84, type, sK36: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_85, type, sK37: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_86, type, sK38: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > X0))).
% 13.85/2.25 thf(func_def_87, type, sK39: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_88, type, sK40: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_89, type, sK41: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > X0))).
% 13.85/2.25 thf(func_def_90, type, sK42: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_91, type, sK43: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_92, type, sK44: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > X0))).
% 13.85/2.25 thf(func_def_93, type, sK45: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_94, type, sK46: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_95, type, sK47: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_96, type, sK48: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_97, type, sK49: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 13.85/2.25 thf(func_def_98, type, sK50: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 13.85/2.25 thf(func_def_99, type, sK51: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 13.85/2.25 thf(func_def_100, type, sK52: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_101, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 13.85/2.25 thf(func_def_102, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 13.85/2.25 thf(func_def_103, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 13.85/2.25 thf(func_def_104, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 13.85/2.25 thf(func_def_105, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 13.85/2.25 thf(func_def_106, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 13.85/2.25 thf(func_def_107, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 13.85/2.25 thf(func_def_108, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 13.85/2.25 thf(func_def_109, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 13.85/2.25 thf(func_def_110, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 13.85/2.25 thf(func_def_111, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 13.85/2.25 thf(func_def_112, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 13.85/2.25 thf(func_def_113, type, sK65: !>[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))).
% 13.85/2.25 thf(func_def_114, type, sK66: !>[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))).
% 13.85/2.25 thf(func_def_115, type, sK67: !>[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))).
% 13.85/2.25 thf(func_def_116, type, sK68: !>[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))).
% 13.85/2.25 thf(func_def_117, type, sK69: !>[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))).
% 13.85/2.25 thf(func_def_118, type, sK70: !>[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))).
% 13.85/2.25 thf(func_def_119, type, sK71: !>[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))).
% 13.85/2.25 thf(func_def_120, type, sK72: !>[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))).
% 13.85/2.25 thf(func_def_121, type, sK73: !>[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))).
% 13.85/2.25 thf(func_def_122, type, sK74: !>[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))).
% 13.85/2.25 thf(func_def_123, type, sK75: !>[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))).
% 13.85/2.25 thf(func_def_124, type, sK76: !>[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))).
% 13.85/2.25 thf(func_def_125, type, sK77: !>[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))).
% 13.85/2.25 thf(func_def_126, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 13.85/2.25 thf(func_def_127, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 13.85/2.25 thf(func_def_128, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_129, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 13.85/2.25 thf(func_def_130, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 13.85/2.25 thf(func_def_131, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 13.85/2.25 thf(func_def_132, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_133, 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) > X4))).
% 13.85/2.25 thf(func_def_134, type, sK86: !>[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))).
% 13.85/2.25 thf(func_def_135, type, sK87: !>[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))).
% 13.85/2.25 thf(func_def_136, type, sK88: !>[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))).
% 13.85/2.25 thf(func_def_137, type, sK89: !>[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))).
% 13.85/2.25 thf(func_def_138, type, sK90: !>[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))).
% 13.85/2.25 thf(func_def_139, type, sK91: !>[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))).
% 13.85/2.25 thf(func_def_140, type, sK92: !>[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))).
% 13.85/2.25 thf(func_def_141, type, sK93: !>[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))).
% 13.85/2.25 thf(func_def_142, type, sK94: !>[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))).
% 13.85/2.25 thf(func_def_143, type, sK95: !>[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))).
% 13.85/2.25 thf(func_def_144, type, sK96: !>[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))).
% 13.85/2.25 thf(func_def_145, type, sK97: !>[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))).
% 13.85/2.25 thf(func_def_146, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 13.85/2.25 thf(func_def_147, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 13.85/2.25 thf(func_def_148, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 13.85/2.25 thf(func_def_149, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 13.85/2.25 thf(func_def_150, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_151, type, sK103: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 13.85/2.25 thf(func_def_152, type, sK104: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 13.85/2.25 thf(func_def_153, type, sK105: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 13.85/2.25 thf(func_def_154, type, sK106: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_155, type, sK107: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 13.85/2.25 thf(func_def_156, type, sK108: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_157, type, sK109: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_158, type, sK110: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_159, type, sK111: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_160, type, sK112: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_161, type, sK113: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_162, type, sK114: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 13.85/2.25 thf(func_def_163, type, sK115: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_164, type, sK116: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_165, type, sK117: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_166, type, sK118: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_167, type, sK119: !>[X0: $tType]:(((X0 > X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_168, type, sK120: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > X0))).
% 13.85/2.25 thf(func_def_169, type, sK121: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > X1))).
% 13.85/2.25 thf(func_def_170, type, sK122: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_171, type, sK123: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > X1))).
% 13.85/2.25 thf(func_def_172, type, sK124: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > X0))).
% 13.85/2.25 thf(func_def_173, type, sK125: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_174, type, sK126: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > X1))).
% 13.85/2.25 thf(func_def_175, type, sK127: !>[X0: $tType, X1: $tType]:((coindu1593790203_llist @ X1 > coindu1593790203_llist @ X0 > (X0 > X1 > $o) > coindu1593790203_llist @ X1))).
% 13.85/2.25 thf(func_def_176, type, sK128: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_177, type, sK129: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 13.85/2.25 thf(func_def_178, type, sK130: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 13.85/2.25 thf(func_def_179, type, sK131: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_180, type, sK132: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 13.85/2.25 thf(func_def_181, type, sK133: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_182, type, sK134: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 13.85/2.25 thf(func_def_183, type, sK135: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_184, type, sK136: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_185, type, sK137: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_186, type, sK138: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(func_def_187, type, sK139: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 13.85/2.25 thf(func_def_188, type, sK140: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 13.85/2.25 thf(f2,axiom,(
% 13.85/2.25 (coindu1213758845finite @ a @ xs) => (coindu1696667936prefix @ a @ ys @ zs)),
% 13.85/2.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062lfinite_Axs_A_092_060longrightarrow_062_Ays_A_092_060sqsubseteq_062_Azs_092_060close_062)).
% 13.85/2.25 thf(f6,axiom,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : (coindu1696667936prefix @ X0 @ X1 @ (coindu268472904append @ X0 @ X1 @ X2))),
% 13.85/2.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_lprefix__lappend)).
% 13.85/2.25 thf(f8,axiom,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0,X3 : coindu1593790203_llist @ X0] : ((coindu1696667936prefix @ X0 @ X1 @ X2) => (coindu1696667936prefix @ X0 @ (coindu268472904append @ X0 @ X3 @ X1) @ (coindu268472904append @ X0 @ X3 @ X2)))),
% 13.85/2.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_lprefix__lappend__sameI)).
% 13.85/2.25 thf(f13,axiom,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : (~(coindu1213758845finite @ X0 @ X1) => (((coindu268472904append @ X0 @ X1 @ X2)) = X1))),
% 13.85/2.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_lappend__inf)).
% 13.85/2.25 thf(f263,axiom,(
% 13.85/2.25 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 13.85/2.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T)).
% 13.85/2.25 thf(f266,conjecture,(
% 13.85/2.25 (coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))),
% 13.85/2.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 13.85/2.25 thf(f267,negated_conjecture,(
% 13.85/2.25 ~(coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))),
% 13.85/2.25 inference(negated_conjecture,[status(cth)],[f266])).
% 13.85/2.25 thf(f270,plain,(
% 13.85/2.25 (coindu1213758845finite @ a @ xs) => (coindu1696667936prefix @ a @ ys @ zs)),
% 13.85/2.25 inference(rectify,[],[f2])).
% 13.85/2.25 thf(f271,plain,(
% 13.85/2.25 (((coindu1213758845finite @ a @ xs)) = $true) => (((coindu1696667936prefix @ a @ ys @ zs)) = $true)),
% 13.85/2.25 inference(fool_elimination,[],[f270])).
% 13.85/2.25 thf(f276,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : (coindu1696667936prefix @ X0 @ X1 @ (coindu268472904append @ X0 @ X1 @ X2))),
% 13.85/2.25 inference(rectify,[],[f6])).
% 13.85/2.25 thf(f277,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : (((coindu1696667936prefix @ X0 @ X1 @ (coindu268472904append @ X0 @ X1 @ X2))) = $true)),
% 13.85/2.25 inference(fool_elimination,[],[f276])).
% 13.85/2.25 thf(f280,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0,X3 : coindu1593790203_llist @ X0] : ((coindu1696667936prefix @ X0 @ X1 @ X2) => (coindu1696667936prefix @ X0 @ (coindu268472904append @ X0 @ X3 @ X1) @ (coindu268472904append @ X0 @ X3 @ X2)))),
% 13.85/2.25 inference(rectify,[],[f8])).
% 13.85/2.25 thf(f281,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0,X3 : coindu1593790203_llist @ X0] : ((((coindu1696667936prefix @ X0 @ X1 @ X2)) = $true) => (((coindu1696667936prefix @ X0 @ (coindu268472904append @ X0 @ X3 @ X1) @ (coindu268472904append @ X0 @ X3 @ X2))) = $true))),
% 13.85/2.25 inference(fool_elimination,[],[f280])).
% 13.85/2.25 thf(f286,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : (~(coindu1213758845finite @ X0 @ X1) => (((coindu268472904append @ X0 @ X1 @ X2)) = X1))),
% 13.85/2.25 inference(rectify,[],[f13])).
% 13.85/2.25 thf(f287,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : (~ (((coindu1213758845finite @ X0 @ X1)) = $true) => (((coindu268472904append @ X0 @ X1 @ X2)) = X1))),
% 13.85/2.25 inference(fool_elimination,[],[f286])).
% 13.85/2.25 thf(f697,plain,(
% 13.85/2.25 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 13.85/2.25 inference(fool_elimination,[],[f263])).
% 13.85/2.25 thf(f702,plain,(
% 13.85/2.25 ~(coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))),
% 13.85/2.25 inference(rectify,[],[f267])).
% 13.85/2.25 thf(f703,plain,(
% 13.85/2.25 ~ (((coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))) = $true)),
% 13.85/2.25 inference(fool_elimination,[],[f702])).
% 13.85/2.25 thf(f704,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : ((((coindu1213758845finite @ X0 @ X1)) != $true) => (((coindu268472904append @ X0 @ X1 @ X2)) = X1))),
% 13.85/2.25 inference(flattening,[],[f287])).
% 13.85/2.25 thf(f751,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))) != $true)),
% 13.85/2.25 inference(flattening,[],[f703])).
% 13.85/2.25 thf(f752,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ ys @ zs)) = $true) | (((coindu1213758845finite @ a @ xs)) != $true)),
% 13.85/2.25 inference(ennf_transformation,[],[f271])).
% 13.85/2.25 thf(f759,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0,X3 : coindu1593790203_llist @ X0] : ((((coindu1696667936prefix @ X0 @ (coindu268472904append @ X0 @ X3 @ X1) @ (coindu268472904append @ X0 @ X3 @ X2))) = $true) | (((coindu1696667936prefix @ X0 @ X1 @ X2)) != $true))),
% 13.85/2.25 inference(ennf_transformation,[],[f281])).
% 13.85/2.25 thf(f760,plain,(
% 13.85/2.25 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : coindu1593790203_llist @ X0] : ((((coindu268472904append @ X0 @ X1 @ X2)) = X1) | (((coindu1213758845finite @ X0 @ X1)) = $true))),
% 13.85/2.25 inference(ennf_transformation,[],[f704])).
% 13.85/2.25 thf(f1024,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ ys @ zs)) = $true) | (((coindu1213758845finite @ a @ xs)) != $true)),
% 13.85/2.25 inference(cnf_transformation,[],[f752])).
% 13.85/2.25 thf(f1028,plain,(
% 13.85/2.25 ( ! [X0 : $tType,X2 : coindu1593790203_llist @ X0,X1 : coindu1593790203_llist @ X0] : ((((coindu1696667936prefix @ X0 @ X1 @ (coindu268472904append @ X0 @ X1 @ X2))) = $true)) )),
% 13.85/2.25 inference(cnf_transformation,[],[f277])).
% 13.85/2.25 thf(f1030,plain,(
% 13.85/2.25 ( ! [X0 : $tType,X2 : coindu1593790203_llist @ X0,X3 : coindu1593790203_llist @ X0,X1 : coindu1593790203_llist @ X0] : ((((coindu1696667936prefix @ X0 @ (coindu268472904append @ X0 @ X3 @ X1) @ (coindu268472904append @ X0 @ X3 @ X2))) = $true) | (((coindu1696667936prefix @ X0 @ X1 @ X2)) != $true)) )),
% 13.85/2.25 inference(cnf_transformation,[],[f759])).
% 13.85/2.25 thf(f1035,plain,(
% 13.85/2.25 ( ! [X0 : $tType,X2 : coindu1593790203_llist @ X0,X1 : coindu1593790203_llist @ X0] : ((((coindu268472904append @ X0 @ X1 @ X2)) = X1) | (((coindu1213758845finite @ X0 @ X1)) = $true)) )),
% 13.85/2.25 inference(cnf_transformation,[],[f760])).
% 13.85/2.25 thf(f1378,plain,(
% 13.85/2.25 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 13.85/2.25 inference(cnf_transformation,[],[f697])).
% 13.85/2.25 thf(f1381,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))) != $true)),
% 13.85/2.25 inference(cnf_transformation,[],[f751])).
% 13.85/2.25 thf(f2085,definition,(
% 13.85/2.25 spl141_1 <=> (((coindu1213758845finite @ a @ xs)) = $true)),
% 13.85/2.25 introduced(definition,[new_symbols(definition,[spl141_1])],[avatar_definition])).
% 13.85/2.25 thf(f2089,definition,(
% 13.85/2.25 spl141_2 <=> (((coindu1696667936prefix @ a @ ys @ zs)) = $true)),
% 13.85/2.25 introduced(definition,[new_symbols(definition,[spl141_2])],[avatar_definition])).
% 13.85/2.25 thf(f2091,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ ys @ zs)) = $true) | ~spl141_2),
% 13.85/2.25 inference(avatar_component_clause,[],[f2089])).
% 13.85/2.25 thf(f2092,plain,(
% 13.85/2.25 ~spl141_1 | spl141_2),
% 13.85/2.25 inference(avatar_split_clause,[],[f1024,f2089,f2085])).
% 13.85/2.25 thf(f2095,plain,(
% 13.85/2.25 ($true != $true) | (((coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))) = $false)),
% 13.85/2.25 inference(constrained_superposition,[],[f1381,f1378])).
% 13.85/2.25 thf(f2097,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ (coindu268472904append @ a @ xs @ ys) @ (coindu268472904append @ a @ xs @ zs))) = $false)),
% 13.85/2.25 inference(trivial_inequality_removal,[],[f2095])).
% 13.85/2.25 thf(f2209,definition,(
% 13.85/2.25 spl141_8 <=> ($true = ((coindu1696667936prefix @ a @ xs @ (coindu268472904append @ a @ xs @ zs))))),
% 13.85/2.25 introduced(definition,[new_symbols(definition,[spl141_8])],[avatar_definition])).
% 13.85/2.25 thf(f2211,plain,(
% 13.85/2.25 ($true != ((coindu1696667936prefix @ a @ xs @ (coindu268472904append @ a @ xs @ zs)))) | spl141_8),
% 13.85/2.25 inference(avatar_component_clause,[],[f2209])).
% 13.85/2.25 thf(f2305,plain,(
% 13.85/2.25 ($true != $true) | ($false = ((coindu1696667936prefix @ a @ xs @ (coindu268472904append @ a @ xs @ zs)))) | spl141_8),
% 13.85/2.25 inference(constrained_superposition,[],[f2211,f1378])).
% 13.85/2.25 thf(f2308,plain,(
% 13.85/2.25 ($false = ((coindu1696667936prefix @ a @ xs @ (coindu268472904append @ a @ xs @ zs)))) | spl141_8),
% 13.85/2.25 inference(trivial_inequality_removal,[],[f2305])).
% 13.85/2.25 thf(f2355,plain,(
% 13.85/2.25 ($true != ((coindu1696667936prefix @ a @ xs @ (coindu268472904append @ a @ xs @ zs)))) | (((coindu1213758845finite @ a @ xs)) = $true)),
% 13.85/2.25 inference(constrained_superposition,[],[f1381,f1035])).
% 13.85/2.25 thf(f2380,plain,(
% 13.85/2.25 spl141_1 | ~spl141_8),
% 13.85/2.25 inference(avatar_split_clause,[],[f2355,f2209,f2085])).
% 13.85/2.25 thf(f2738,plain,(
% 13.85/2.25 ($true = $false) | spl141_8),
% 13.85/2.25 inference(forward_demodulation,[],[f2308,f1028])).
% 13.85/2.25 thf(f2739,plain,(
% 13.85/2.25 $false | spl141_8),
% 13.85/2.25 inference(trivial_inequality_removal,[],[f2738])).
% 13.85/2.25 thf(f2740,plain,(
% 13.85/2.25 spl141_8),
% 13.85/2.25 inference(avatar_contradiction_clause,[],[f2739])).
% 13.85/2.25 thf(f22530,plain,(
% 13.85/2.25 ($true = $false) | (((coindu1696667936prefix @ a @ ys @ zs)) != $true)),
% 13.85/2.25 inference(constrained_superposition,[],[f1030,f2097])).
% 13.85/2.25 thf(f22579,plain,(
% 13.85/2.25 (((coindu1696667936prefix @ a @ ys @ zs)) != $true)),
% 13.85/2.25 inference(trivial_inequality_removal,[],[f22530])).
% 13.85/2.25 thf(f22584,plain,(
% 13.85/2.25 $false | ~spl141_2),
% 13.85/2.25 inference(forward_subsumption_resolution,[],[f22579,f2091])).
% 13.85/2.25 thf(f22585,plain,(
% 13.85/2.25 ~spl141_2),
% 13.85/2.25 inference(avatar_contradiction_clause,[],[f22584])).
% 13.85/2.25 cnf(s1, plain, ~spl141_1 | spl141_2, inference(sat_conversion,[],[f2092])).
% 13.85/2.25 cnf(s37, plain, spl141_1 | ~spl141_8, inference(sat_conversion,[],[f2380])).
% 13.85/2.25 cnf(s52, plain, spl141_8, inference(sat_conversion,[],[f2740])).
% 13.85/2.25 cnf(s1800, plain, ~spl141_2, inference(sat_conversion,[],[f22585])).
% 13.85/2.25 cnf(s1883, plain, spl141_1, inference(rat,[],[s37,s52])).
% 13.85/2.25 cnf(s1887, plain, $false, inference(rat,[],[s1,s1800,s1883])).
% 13.85/2.25 thf(f22590,plain,(
% 13.85/2.25 $false),
% 13.85/2.25 inference(avatar_sat_refutation,[],[s1887])).
% 13.85/2.25 % SZS output end Proof for theBenchmark
% 13.85/2.25 % (2850943)------------------------------
% 13.85/2.25 % (2850943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.25 % (2850943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.25 % (2850943)CaDiCaL version: 2.1.3
% 13.85/2.25 % (2850943)Termination reason: Refutation
% 13.85/2.25 % (2850943)Time elapsed: 0.970 s
% 13.85/2.25 % (2850943)Peak memory usage: 24 MB
% 13.85/2.25 % (2850943)Instructions burned: 3161 (million)
% 13.85/2.25 % (2850880)Success in time 2.037 s
% 13.85/2.25 % Vampire exiting
%------------------------------------------------------------------------------