%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU960^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 08:34:28 AM UTC 2026
% Result : Theorem 52.91s 7.89s
% Output : Refutation 52.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU960^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 % Computer : n006.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Tue Sep 29 14:50:39 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.34 Running first-order model finding
% 0.28/0.34 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
% 8.02/1.53 % (828339)Will run a generic schedule for satisfiability detection.
% 8.02/1.53 % (828348)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2845634846:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.02/1.53 % (828348)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.02/1.53 % (828345)% WARNING: option uhcvi not known.
% 8.02/1.53 % (828345)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2777043725:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.02/1.53 % (828344)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2224436879_2999 on theBenchmark for (2999ds/0Mi)
% 8.02/1.53 % (828346)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2640465961:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.02/1.53 % (828347)dis+10_1_sil=32000:sp=arity:random_seed=1477333016:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.02/1.53 % (828350)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3616210878:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.02/1.53 % (828345)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.02/1.53 % (828349)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3878526341:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.02/1.53 % (828345)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.02/1.53 % Exception at run slice level
% 8.02/1.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.02/1.53 % (828358)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3748934905:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.02/1.53 % Exception at run slice level
% 8.02/1.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.02/1.53 % (828348)Instruction limit reached!
% 8.02/1.53 % (828348)------------------------------
% 8.02/1.53 % (828348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.02/1.53 % (828348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.53 % (828348)CaDiCaL version: 2.1.3
% 8.02/1.53 % (828348)Termination reason: Instruction limit
% 8.02/1.53 % (828348)Termination phase: Saturation
% 8.02/1.53 % (828348)Time elapsed: 0.052 s
% 8.02/1.53 % (828348)Peak memory usage: 12 MB
% 8.02/1.53 % (828348)Instructions burned: 117 (million)
% 8.02/1.53 % (828361)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=24655974:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.02/1.53 % (828361)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.02/1.53 % (828361)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.02/1.53 % (828360)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4273090881:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.02/1.53 % (828347)Instruction limit reached!
% 8.02/1.53 % (828347)------------------------------
% 8.02/1.53 % (828347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.02/1.53 % (828347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.53 % (828347)CaDiCaL version: 2.1.3
% 8.02/1.53 % (828347)Termination reason: Instruction limit
% 8.02/1.53 % (828347)Termination phase: Saturation
% 8.02/1.53 % (828347)Time elapsed: 0.092 s
% 8.02/1.53 % (828347)Peak memory usage: 12 MB
% 8.02/1.53 % (828347)Instructions burned: 103 (million)
% 8.02/1.53 % (828349)Instruction limit reached!
% 8.02/1.53 % (828349)------------------------------
% 8.02/1.53 % (828349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.02/1.53 % (828349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.53 % (828349)CaDiCaL version: 2.1.3
% 8.02/1.53 % (828349)Termination reason: Instruction limit
% 8.02/1.53 % (828349)Termination phase: Saturation
% 8.02/1.53 % (828349)Time elapsed: 0.119 s
% 8.02/1.53 % (828349)Peak memory usage: 12 MB
% 8.02/1.53 % (828349)Instructions burned: 132 (million)
% 8.02/1.53 % (828364)ott-21_1_sil=16000:fs=off:random_seed=2514325417:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.02/1.53 % (828350)Instruction limit reached!
% 8.02/1.53 % (828350)------------------------------
% 30.70/4.71 % (828350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.70/4.71 % (828350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.70/4.71 % (828350)CaDiCaL version: 2.1.3
% 30.70/4.71 % (828350)Termination reason: Instruction limit
% 30.70/4.71 % (828350)Termination phase: Saturation
% 30.70/4.71 % (828350)Time elapsed: 0.130 s
% 30.70/4.71 % (828350)Peak memory usage: 13 MB
% 30.70/4.71 % (828350)Instructions burned: 159 (million)
% 30.70/4.71 % (828365)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3585618062:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 30.70/4.71 % (828367)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=470577155:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 30.70/4.71 % Exception at run slice level
% 30.70/4.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.70/4.71 % (828370)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=80563437:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 30.70/4.71 % (828360)Instruction limit reached!
% 30.70/4.71 % (828360)------------------------------
% 30.70/4.71 % (828360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.70/4.71 % (828360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.70/4.71 % (828360)CaDiCaL version: 2.1.3
% 30.70/4.71 % (828360)Termination reason: Instruction limit
% 30.70/4.71 % (828360)Termination phase: Saturation
% 30.70/4.71 % (828360)Time elapsed: 0.130 s
% 30.70/4.71 % (828360)Peak memory usage: 13 MB
% 30.70/4.71 % (828360)Instructions burned: 132 (million)
% 30.70/4.71 % (828365)Refutation not found, incomplete strategy
% 30.70/4.71 % (828365)------------------------------
% 30.70/4.71 % (828365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.70/4.71 % (828365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.70/4.71 % (828365)CaDiCaL version: 2.1.3
% 30.70/4.71 % (828365)Termination reason: Refutation not found, incomplete strategy
% 30.70/4.71 % (828365)Time elapsed: 0.078 s
% 30.70/4.71 % (828365)Peak memory usage: 12 MB
% 30.70/4.71 % (828365)Instructions burned: 61 (million)
% 30.70/4.71 % (828365)------------------------------
% 30.70/4.71 % (828365)------------------------------
% 30.70/4.71 % (828372)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3419721639:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 30.70/4.71 % Exception at run slice level
% 30.70/4.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.70/4.71 % (828373)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=1176711654:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 30.70/4.71 % (828373)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.70/4.71 % (828364)Instruction limit reached!
% 30.70/4.71 % (828364)------------------------------
% 30.70/4.71 % (828364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.70/4.71 % (828364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.70/4.71 % (828364)CaDiCaL version: 2.1.3
% 30.70/4.71 % (828364)Termination reason: Instruction limit
% 30.70/4.71 % (828364)Termination phase: Saturation
% 30.70/4.71 % (828364)Time elapsed: 0.147 s
% 30.70/4.71 % (828364)Peak memory usage: 12 MB
% 30.70/4.71 % (828364)Instructions burned: 180 (million)
% 30.70/4.71 % (828375)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2426148049:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 30.70/4.71 % (828375)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.70/4.71 % (828377)fmb+10_1_sil=64000:random_seed=2537266692:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 30.70/4.71 % (828377)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.70/4.71 % Exception at run slice level
% 30.70/4.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.70/4.71 % (828361)Instruction limit reached!
% 30.70/4.71 % (828361)------------------------------
% 30.70/4.71 % (828361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.70/4.71 % (828361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828361)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828361)Termination reason: Instruction limit
% 52.91/7.89 % (828361)Termination phase: Saturation
% 52.91/7.89 % (828361)Time elapsed: 0.276 s
% 52.91/7.89 % (828361)Peak memory usage: 13 MB
% 52.91/7.89 % (828361)Instructions burned: 685 (million)
% 52.91/7.89 % (828380)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1545270675:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828383)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2346200945:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 52.91/7.89 % (828381)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3056798594:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 52.91/7.89 % (828383)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828386)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4256007932:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 52.91/7.89 % (828386)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.91/7.89 % (828386)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 52.91/7.89 % (828373)Instruction limit reached!
% 52.91/7.89 % (828373)------------------------------
% 52.91/7.89 % (828373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828373)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828373)Termination reason: Instruction limit
% 52.91/7.89 % (828373)Termination phase: Saturation
% 52.91/7.89 % (828373)Time elapsed: 0.553 s
% 52.91/7.89 % (828373)Peak memory usage: 14 MB
% 52.91/7.89 % (828373)Instructions burned: 692 (million)
% 52.91/7.89 % (828388)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1258335330:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828390)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3840663247:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828392)ott-2_1_sil=16000:newcnf=on:random_seed=3809637476:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 52.91/7.89 % (828392)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 52.91/7.89 % (828375)Instruction limit reached!
% 52.91/7.89 % (828375)------------------------------
% 52.91/7.89 % (828375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828375)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828375)Termination reason: Instruction limit
% 52.91/7.89 % (828375)Termination phase: Saturation
% 52.91/7.89 % (828375)Time elapsed: 0.757 s
% 52.91/7.89 % (828375)Peak memory usage: 14 MB
% 52.91/7.89 % (828375)Instructions burned: 879 (million)
% 52.91/7.89 % (828394)ott+10_1_sil=32000:tgt=ground:random_seed=1024580227:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 52.91/7.89 % (828386)Instruction limit reached!
% 52.91/7.89 % (828386)------------------------------
% 52.91/7.89 % (828386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828386)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828386)Termination reason: Instruction limit
% 52.91/7.89 % (828386)Termination phase: Saturation
% 52.91/7.89 % (828386)Time elapsed: 0.711 s
% 52.91/7.89 % (828386)Peak memory usage: 19 MB
% 52.91/7.89 % (828386)Instructions burned: 1474 (million)
% 52.91/7.89 % (828396)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1012115917:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828370)Instruction limit reached!
% 52.91/7.89 % (828370)------------------------------
% 52.91/7.89 % (828370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828370)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828370)Termination reason: Instruction limit
% 52.91/7.89 % (828370)Termination phase: Saturation
% 52.91/7.89 % (828370)Time elapsed: 0.954 s
% 52.91/7.89 % (828370)Peak memory usage: 16 MB
% 52.91/7.89 % (828370)Instructions burned: 1179 (million)
% 52.91/7.89 % (828398)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2803802971:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 52.91/7.89 % (828398)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 52.91/7.89 % (828399)dis+21_1_sil=32000:sas=cadical:random_seed=319766594:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 52.91/7.89 % (828392)Instruction limit reached!
% 52.91/7.89 % (828392)------------------------------
% 52.91/7.89 % (828392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828392)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828392)Termination reason: Instruction limit
% 52.91/7.89 % (828392)Termination phase: Saturation
% 52.91/7.89 % (828392)Time elapsed: 0.699 s
% 52.91/7.89 % (828392)Peak memory usage: 19 MB
% 52.91/7.89 % (828392)Instructions burned: 870 (million)
% 52.91/7.89 % (828402)ott+11_1_sil=16000:gs=on:random_seed=2064288556:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2983 on theBenchmark for (2983ds/2251Mi)
% 52.91/7.89 % (828402)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 52.91/7.89 % (828398)Instruction limit reached!
% 52.91/7.89 % (828398)------------------------------
% 52.91/7.89 % (828398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828398)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828398)Termination reason: Instruction limit
% 52.91/7.89 % (828398)Termination phase: Saturation
% 52.91/7.89 % (828398)Time elapsed: 1.416 s
% 52.91/7.89 % (828398)Peak memory usage: 18 MB
% 52.91/7.89 % (828398)Instructions burned: 3514 (million)
% 52.91/7.89 % (828404)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=14868286:fmbsr=1.6:i=67534_2973 on theBenchmark for (2973ds/67534Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828406)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=945127828:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2973 on theBenchmark for (2973ds/4591Mi)
% 52.91/7.89 % (828402)Instruction limit reached!
% 52.91/7.89 % (828402)------------------------------
% 52.91/7.89 % (828402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828402)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828402)Termination reason: Instruction limit
% 52.91/7.89 % (828402)Termination phase: Saturation
% 52.91/7.89 % (828402)Time elapsed: 1.779 s
% 52.91/7.89 % (828402)Peak memory usage: 19 MB
% 52.91/7.89 % (828402)Instructions burned: 2252 (million)
% 52.91/7.89 % (828409)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3148742018:i=29340_2965 on theBenchmark for (2965ds/29340Mi)
% 52.91/7.89 % (828399)Instruction limit reached!
% 52.91/7.89 % (828399)------------------------------
% 52.91/7.89 % (828399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828399)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828399)Termination reason: Instruction limit
% 52.91/7.89 % (828399)Termination phase: Saturation
% 52.91/7.89 % (828399)Time elapsed: 2.895 s
% 52.91/7.89 % (828399)Peak memory usage: 30 MB
% 52.91/7.89 % (828399)Instructions burned: 3774 (million)
% 52.91/7.89 % (828411)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=459726972:i=5211_2958 on theBenchmark for (2958ds/5211Mi)
% 52.91/7.89 % (828383)Instruction limit reached!
% 52.91/7.89 % (828383)------------------------------
% 52.91/7.89 % (828383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828383)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828383)Termination reason: Instruction limit
% 52.91/7.89 % (828383)Termination phase: Saturation
% 52.91/7.89 % (828383)Time elapsed: 3.946 s
% 52.91/7.89 % (828383)Peak memory usage: 19 MB
% 52.91/7.89 % (828383)Instructions burned: 5131 (million)
% 52.91/7.89 % (828413)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3221450431:i=5497:nm=2_2956 on theBenchmark for (2956ds/5497Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828415)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3554872684:fmbsr=2:i=46332_2956 on theBenchmark for (2956ds/46332Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828417)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4204768448:i=14071_2955 on theBenchmark for (2955ds/14071Mi)
% 52.91/7.89 % Exception at run slice level
% 52.91/7.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.91/7.89 % (828419)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=974795372:i=22565:add=on:rawr=on_2955 on theBenchmark for (2955ds/22565Mi)
% 52.91/7.89 % (828406)Instruction limit reached!
% 52.91/7.89 % (828406)------------------------------
% 52.91/7.89 % (828406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828406)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828406)Termination reason: Instruction limit
% 52.91/7.89 % (828406)Termination phase: Saturation
% 52.91/7.89 % (828406)Time elapsed: 1.875 s
% 52.91/7.89 % (828406)Peak memory usage: 22 MB
% 52.91/7.89 % (828406)Instructions burned: 4595 (million)
% 52.91/7.89 % (828421)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2410810501:i=8173:av=off_2954 on theBenchmark for (2954ds/8173Mi)
% 52.91/7.89 % (828394)Instruction limit reached!
% 52.91/7.89 % (828394)------------------------------
% 52.91/7.89 % (828394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828394)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828394)Termination reason: Instruction limit
% 52.91/7.89 % (828394)Termination phase: Saturation
% 52.91/7.89 % (828394)Time elapsed: 3.975 s
% 52.91/7.89 % (828394)Peak memory usage: 23 MB
% 52.91/7.89 % (828394)Instructions burned: 5115 (million)
% 52.91/7.89 % (828423)dis+10_16:1_sil=16000:random_seed=3662939057:i=9155:fsr=off_2949 on theBenchmark for (2949ds/9155Mi)
% 52.91/7.89 % (828423) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-828339-828423"...
% 52.91/7.89 % (828423)...printing done.
% 52.91/7.89 % (828423)Refutation found. Thanks to Tanya!
% 52.91/7.89 % SZS status Theorem for theBenchmark
% 52.91/7.89 % SZS output start Proof for theBenchmark
% 52.91/7.89 thf(type_def_5, type, a: $tType).
% 52.91/7.89 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 52.91/7.89 thf(func_def_3, type, db0: !>[X0: $tType]:(X0)).
% 52.91/7.89 thf(func_def_4, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 52.91/7.89 thf(func_def_5, type, sK0: (a > a)).
% 52.91/7.89 thf(func_def_6, type, sK1: (a > a)).
% 52.91/7.89 thf(func_def_7, type, sK2: (a > a)).
% 52.91/7.89 thf(func_def_8, type, sK3: ((a > a) > $o)).
% 52.91/7.89 thf(func_def_9, type, sK4: (((a > a) > $o) > a > a)).
% 52.91/7.89 thf(func_def_10, type, sK5: (((a > a) > $o) > a > a)).
% 52.91/7.89 thf(func_def_11, type, vNOT: ($o > $o)).
% 52.91/7.89 thf(func_def_12, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 52.91/7.89 thf(func_def_13, type, db1: !>[X0: $tType]:(X0)).
% 52.91/7.89 thf(func_def_15, type, sK7: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_16, type, db2: !>[X0: $tType]:(X0)).
% 52.91/7.89 thf(func_def_17, type, sK8: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_18, type, sK9: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_19, type, sK10: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_20, type, sK11: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_21, type, sK12: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_22, type, sK13: a).
% 52.91/7.89 thf(func_def_23, type, sK14: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_24, type, sK15: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_25, type, sK16: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_26, type, sK17: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_27, type, sK18: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_28, type, sK19: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_29, type, sK20: a).
% 52.91/7.89 thf(func_def_30, type, sK21: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_31, type, db3: !>[X0: $tType]:(X0)).
% 52.91/7.89 thf(func_def_32, type, db4: !>[X0: $tType]:(X0)).
% 52.91/7.89 thf(func_def_33, type, sK22: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_34, type, sK23: a).
% 52.91/7.89 thf(func_def_35, type, sK24: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_36, type, sK25: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_37, type, sK26: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_38, type, sK27: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_39, type, db5: !>[X0: $tType]:(X0)).
% 52.91/7.89 thf(func_def_40, type, sK28: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_41, type, sK29: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_42, type, sK30: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_43, type, sK31: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_44, type, sK32: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_45, type, sK33: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_46, type, sK34: (((a > a) > a > (a > a) > $o) > a)).
% 52.91/7.89 thf(func_def_47, type, sK35: (a > a)).
% 52.91/7.89 thf(func_def_48, type, sK36: (a > a)).
% 52.91/7.89 thf(func_def_49, type, sK37: (a > a)).
% 52.91/7.89 thf(func_def_50, type, sK38: (a > a)).
% 52.91/7.89 thf(func_def_51, type, sK39: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_52, type, sK40: a).
% 52.91/7.89 thf(func_def_53, type, sK41: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_54, type, sK42: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_55, type, sK43: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_56, type, sK44: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_57, type, sK45: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_58, type, sK46: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_59, type, sK47: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_60, type, sK48: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_61, type, sK49: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_62, type, sK50: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_63, type, sK51: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_64, type, sK52: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_65, type, sK53: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_66, type, sK54: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_67, type, sK55: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_68, type, sK56: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_69, type, sK57: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_70, type, sK58: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_71, type, sK59: a).
% 52.91/7.89 thf(func_def_72, type, sK60: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_73, type, sK61: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_74, type, sK62: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_75, type, sK63: a).
% 52.91/7.89 thf(func_def_76, type, sK64: a).
% 52.91/7.89 thf(func_def_77, type, sK65: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_78, type, sK66: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_79, type, sK67: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_80, type, sK68: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_81, type, sK69: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_82, type, sK70: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_83, type, sK71: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_84, type, sK72: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_85, type, sK73: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_86, type, sK74: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_87, type, sK75: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_88, type, sK76: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_89, type, sK77: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_90, type, sK78: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_91, type, sK79: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_92, type, sK80: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_93, type, sK81: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_94, type, sK82: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_95, type, sK83: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_96, type, sK84: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_97, type, sK85: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_98, type, sK86: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_99, type, sK87: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_100, type, sK88: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_101, type, sK89: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_102, type, sK90: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_103, type, sK91: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_104, type, sK92: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_105, type, sK93: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_106, type, sK94: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_107, type, sK95: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_108, type, sK96: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_109, type, sK97: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_110, type, sK98: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_111, type, sK99: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_112, type, sK100: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_113, type, sK101: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_114, type, sK102: a).
% 52.91/7.89 thf(func_def_115, type, sK103: a).
% 52.91/7.89 thf(func_def_116, type, sK104: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_117, type, sK105: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_118, type, sK106: (((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_119, type, sK107: (((a > a) > a > a) > (a > a) > a)).
% 52.91/7.89 thf(func_def_120, type, sK108: ((a > a) > ((a > a) > a > a) > a)).
% 52.91/7.89 thf(func_def_121, type, sK109: ((a > a) > a)).
% 52.91/7.89 thf(f1,conjecture,(
% 52.91/7.89 ! [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : ((! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ X2)) & ! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ X1))) => ! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ (^[X5 : a] : ((X1 @ (X2 @ X5)))))))),
% 52.91/7.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM135D_pme)).
% 52.91/7.89 thf(f2,negated_conjecture,(
% 52.91/7.89 ~ ! [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : ((! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ X2)) & ! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ X1))) => ! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ (^[X5 : a] : ((X1 @ (X2 @ X5)))))))),
% 52.91/7.89 inference(negated_conjecture,[status(cth)],[f1])).
% 52.91/7.89 thf(f3,plain,(
% 52.91/7.89 ~ ! [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : ((! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((X3 @ X4) => (X3 @ (^[X5 : a] : ((X0 @ (X4 @ X5)))))) & (X3 @ X0)) => (X3 @ X2)) & ! [X6 : ((a > a) > $o)] : ((! [X7 : (a > a)] : ((X6 @ X7) => (X6 @ (^[X8 : a] : ((X0 @ (X7 @ X8)))))) & (X6 @ X0)) => (X6 @ X1))) => ! [X9 : ((a > a) > $o)] : ((! [X10 : (a > a)] : ((X9 @ X10) => (X9 @ (^[X11 : a] : ((X0 @ (X10 @ X11)))))) & (X9 @ X0)) => (X9 @ (^[X12 : a] : ((X1 @ (X2 @ X12)))))))),
% 52.91/7.89 inference(rectify,[],[f2])).
% 52.91/7.89 thf(f4,plain,(
% 52.91/7.89 ~ ! [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : ((! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((((X3 @ X4)) = $true) => ($true = ((X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0))))))) & (((X3 @ X0)) = $true)) => (((X3 @ X2)) = $true)) & ! [X6 : ((a > a) > $o)] : ((! [X7 : (a > a)] : ((((X6 @ X7)) = $true) => ($true = ((X6 @ (^[Y0 : a]: (X0 @ (X7 @ Y0))))))) & (((X6 @ X0)) = $true)) => (((X6 @ X1)) = $true))) => ! [X9 : ((a > a) > $o)] : ((! [X10 : (a > a)] : ((((X9 @ X10)) = $true) => ($true = ((X9 @ (^[Y0 : a]: (X0 @ (X10 @ Y0))))))) & (((X9 @ X0)) = $true)) => ($true = ((X9 @ (^[Y0 : a]: (X1 @ (X2 @ Y0))))))))),
% 52.91/7.89 inference(fool_elimination,[],[f3])).
% 52.91/7.89 thf(f5,plain,(
% 52.91/7.89 ~ ! [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : ((! [X3 : ((a > a) > $o)] : ((! [X4 : (a > a)] : ((((X3 @ X4)) = $true) => ($true = ((X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0))))))) & (((X3 @ X0)) = $true)) => (((X3 @ X2)) = $true)) & ! [X5 : ((a > a) > $o)] : ((! [X6 : (a > a)] : (($true = ((X5 @ X6))) => ($true = ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0))))))) & ($true = ((X5 @ X0)))) => ($true = ((X5 @ X1))))) => ! [X7 : ((a > a) > $o)] : ((! [X8 : (a > a)] : (($true = ((X7 @ X8))) => ($true = ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0))))))) & ($true = ((X7 @ X0)))) => ($true = ((X7 @ (^[Y0 : a]: (X1 @ (X2 @ Y0))))))))),
% 52.91/7.89 inference(rectify,[],[f4])).
% 52.91/7.89 thf(f6,plain,(
% 52.91/7.89 ? [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : (? [X7 : ((a > a) > $o)] : (($true != ((X7 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))))) & (! [X8 : (a > a)] : (($true = ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))))) | ($true != ((X7 @ X8)))) & ($true = ((X7 @ X0))))) & (! [X3 : ((a > a) > $o)] : ((((X3 @ X2)) = $true) | (? [X4 : (a > a)] : (($true != ((X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0)))))) & (((X3 @ X4)) = $true)) | (((X3 @ X0)) != $true))) & ! [X5 : ((a > a) > $o)] : (($true = ((X5 @ X1))) | (? [X6 : (a > a)] : (($true != ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))))) & ($true = ((X5 @ X6)))) | ($true != ((X5 @ X0)))))))),
% 52.91/7.89 inference(ennf_transformation,[],[f5])).
% 52.91/7.89 thf(f7,plain,(
% 52.91/7.89 ? [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : (? [X7 : ((a > a) > $o)] : (($true != ((X7 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))))) & ! [X8 : (a > a)] : (($true = ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))))) | ($true != ((X7 @ X8)))) & ($true = ((X7 @ X0)))) & ! [X3 : ((a > a) > $o)] : ((((X3 @ X2)) = $true) | ? [X4 : (a > a)] : (($true != ((X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0)))))) & (((X3 @ X4)) = $true)) | (((X3 @ X0)) != $true)) & ! [X5 : ((a > a) > $o)] : (($true = ((X5 @ X1))) | ? [X6 : (a > a)] : (($true != ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))))) & ($true = ((X5 @ X6)))) | ($true != ((X5 @ X0)))))),
% 52.91/7.89 inference(flattening,[],[f6])).
% 52.91/7.89 thf(f8,plain,(
% 52.91/7.89 ? [X0 : (a > a),X1 : (a > a),X2 : (a > a)] : (? [X3 : ((a > a) > $o)] : (($true != ((X3 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))))) & ! [X4 : (a > a)] : (($true = ((X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0)))))) | (((X3 @ X4)) != $true)) & (((X3 @ X0)) = $true)) & ! [X5 : ((a > a) > $o)] : (($true = ((X5 @ X2))) | ? [X6 : (a > a)] : (($true != ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))))) & ($true = ((X5 @ X6)))) | ($true != ((X5 @ X0)))) & ! [X7 : ((a > a) > $o)] : (($true = ((X7 @ X1))) | ? [X8 : (a > a)] : (($true != ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))))) & ($true = ((X7 @ X8)))) | ($true != ((X7 @ X0)))))),
% 52.91/7.89 inference(rectify,[],[f7])).
% 52.91/7.89 thf(f9,plain,(
% 52.91/7.89 (($true != ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))))) & ! [X4 : (a > a)] : (($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0)))))) | ($true != ((sK3 @ X4)))) & ($true = ((sK3 @ sK0)))) & ! [X5 : ((a > a) > $o)] : (($true = ((X5 @ sK2))) | (($true != ((X5 @ (^[Y0 : a]: (sK0 @ (sK4 @ X5 @ Y0)))))) & ($true = ((X5 @ (sK4 @ X5))))) | ($true != ((X5 @ sK0)))) & ! [X7 : ((a > a) > $o)] : (($true = ((X7 @ sK1))) | (($true != ((X7 @ (^[Y0 : a]: (sK0 @ (sK5 @ X7 @ Y0)))))) & ($true = ((X7 @ (sK5 @ X7))))) | ($true != ((X7 @ sK0))))),
% 52.91/7.89 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X8,sK5 @ X7),skolemize(X8,sK5 @ X7)],[f8])).
% 52.91/7.89 thf(f10,plain,(
% 52.91/7.89 ( ! [X7 : ((a > a) > $o)] : (($true != ((X7 @ sK0))) | ($true = ((X7 @ (sK5 @ X7)))) | ($true = ((X7 @ sK1)))) )),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f11,plain,(
% 52.91/7.89 ( ! [X7 : ((a > a) > $o)] : (($true != ((X7 @ (^[Y0 : a]: (sK0 @ (sK5 @ X7 @ Y0)))))) | ($true = ((X7 @ sK1))) | ($true != ((X7 @ sK0)))) )),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f12,plain,(
% 52.91/7.89 ( ! [X5 : ((a > a) > $o)] : (($true != ((X5 @ sK0))) | ($true = ((X5 @ (sK4 @ X5)))) | ($true = ((X5 @ sK2)))) )),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f13,plain,(
% 52.91/7.89 ( ! [X5 : ((a > a) > $o)] : (($true != ((X5 @ (^[Y0 : a]: (sK0 @ (sK4 @ X5 @ Y0)))))) | ($true = ((X5 @ sK2))) | ($true != ((X5 @ sK0)))) )),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f14,plain,(
% 52.91/7.89 ($true = ((sK3 @ sK0)))),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f15,plain,(
% 52.91/7.89 ( ! [X4 : (a > a)] : (($true != ((sK3 @ X4))) | ($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0))))))) )),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f16,plain,(
% 52.91/7.89 ($true != ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0))))))),
% 52.91/7.89 inference(cnf_transformation,[],[f9])).
% 52.91/7.89 thf(f18,definition,(
% 52.91/7.89 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 52.91/7.89 introduced(theory,[fool_exhaustiveness_axiom])).
% 52.91/7.89 thf(f56,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a)] : (($true != $true) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ (sK4 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))))))) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK2))) | ((^[Y0 : a]: (Y0)) != ((X0 @ sK0)))) )),
% 52.91/7.89 inference(constrained_superposition,[],[f12,f14])).
% 52.91/7.89 thf(f63,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a)] : (($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ (sK4 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))))))) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK2))) | ((^[Y0 : a]: (Y0)) != ((X0 @ sK0)))) )),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f56])).
% 52.91/7.89 thf(f64,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a)] : (((^[Y0 : a]: (Y0)) != ((X0 @ sK0))) | ($true = ((sK3 @ (^[Y0 : a]: (sK2 @ (X0 @ sK2 @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0))))))) )),
% 52.91/7.89 inference(beta-eta_normalization,[],[f63])).
% 52.91/7.89 thf(f139,plain,(
% 52.91/7.89 ($true != $true) | (((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0))))) = $false)),
% 52.91/7.89 inference(constrained_superposition,[],[f16,f18])).
% 52.91/7.89 thf(f140,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($true != $true) | ($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (X0 @ Y0)))))) | ($false = ((sK3 @ X0)))) )),
% 52.91/7.89 inference(constrained_superposition,[],[f15,f18])).
% 52.91/7.89 thf(f150,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (X0 @ Y0)))))) | ($false = ((sK3 @ X0)))) )),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f140])).
% 52.91/7.89 thf(f151,plain,(
% 52.91/7.89 (((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0))))) = $false)),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f139])).
% 52.91/7.89 thf(f201,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true != $true) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ (sK5 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))))))) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK1))) | ($false = ((sK3 @ X1))) | (((X0 @ sK0)) != X1)) )),
% 52.91/7.89 inference(constrained_superposition,[],[f10,f150])).
% 52.91/7.89 thf(f203,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true != $true) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK1))) | ($true != (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK0))) | ($false = ((sK3 @ X1))) | ((^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK5 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) != X1)) )),
% 52.91/7.89 inference(constrained_superposition,[],[f11,f150])).
% 52.91/7.89 thf(f205,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true != $true) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK2))) | ($true != (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK0))) | ($false = ((sK3 @ X1))) | ((^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) != X1)) )),
% 52.91/7.89 inference(constrained_superposition,[],[f13,f150])).
% 52.91/7.89 thf(f209,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK2))) | ($true != (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK0))) | ($false = ((sK3 @ X1))) | ((^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) != X1)) )),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f205])).
% 52.91/7.89 thf(f210,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (((^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) != X1) | ($true != ((sK3 @ (^[Y0 : a]: (sK0 @ (X0 @ sK0 @ Y0)))))) | ($false = ((sK3 @ X1))) | ($true = ((sK3 @ (^[Y0 : a]: (sK2 @ (X0 @ sK2 @ Y0))))))) )),
% 52.91/7.89 inference(beta-eta_normalization,[],[f209])).
% 52.91/7.89 thf(f213,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK1))) | ($true != (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK0))) | ($false = ((sK3 @ X1))) | ((^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK5 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) != X1)) )),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f203])).
% 52.91/7.89 thf(f214,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (((^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK5 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) != X1) | ($true != ((sK3 @ (^[Y0 : a]: (sK0 @ (X0 @ sK0 @ Y0)))))) | ($false = ((sK3 @ X1))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (X0 @ sK1 @ Y0))))))) )),
% 52.91/7.89 inference(beta-eta_normalization,[],[f213])).
% 52.91/7.89 thf(f217,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ (sK5 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))))))) | ($true = (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ Y0))) @ sK1))) | ($false = ((sK3 @ X1))) | (((X0 @ sK0)) != X1)) )),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f201])).
% 52.91/7.89 thf(f218,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a),X1 : (a > a)] : (($true = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2)))))) @ Y0)))))) | ($false = ((sK3 @ X1))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (X0 @ sK1 @ Y0)))))) | (((X0 @ sK0)) != X1)) )),
% 52.91/7.89 inference(beta-eta_normalization,[],[f217])).
% 52.91/7.89 thf(f428,definition,(
% 52.91/7.89 spl6_10 <=> ($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (sK2 @ Y0))))))),
% 52.91/7.89 introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition])).
% 52.91/7.89 thf(f430,plain,(
% 52.91/7.89 ($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (sK2 @ Y0)))))) | ~spl6_10),
% 52.91/7.89 inference(avatar_component_clause,[],[f428])).
% 52.91/7.89 thf(f563,definition,(
% 52.91/7.89 spl6_28 <=> ($true = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0))))))),
% 52.91/7.89 introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition])).
% 52.91/7.89 thf(f564,plain,(
% 52.91/7.89 ($true != ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0)))))) | spl6_28),
% 52.91/7.89 inference(avatar_component_clause,[],[f563])).
% 52.91/7.89 thf(f565,plain,(
% 52.91/7.89 ($true = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0)))))) | ~spl6_28),
% 52.91/7.89 inference(avatar_component_clause,[],[f563])).
% 52.91/7.89 thf(f573,plain,(
% 52.91/7.89 ($true = ((sK3 @ (^[Y0 : a]: (sK2 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y2)))) @ sK2 @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y2)))) @ (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2)))))) @ Y0))))))),
% 52.91/7.89 inference(equality_resolution,[],[f64])).
% 52.91/7.89 thf(f574,plain,(
% 52.91/7.89 ($true = ((sK3 @ sK2))) | ($true = ((sK3 @ (sK4 @ sK3))))),
% 52.91/7.89 inference(beta-eta_normalization,[],[f573])).
% 52.91/7.89 thf(f1813,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a)] : (($true != ((sK3 @ (^[Y0 : a]: (sK0 @ (X0 @ sK0 @ Y0)))))) | ($false = ((sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK2 @ (X0 @ sK2 @ Y0))))))) )),
% 52.91/7.89 inference(equality_resolution,[],[f210])).
% 52.91/7.89 thf(f1816,plain,(
% 52.91/7.89 ( ! [X0 : ((a > a) > a > a)] : (($true != ((sK3 @ (^[Y0 : a]: (sK0 @ (X0 @ sK0 @ Y0)))))) | ($false = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ (X0 @ (^[Y1 : a]: (sK0 @ (sK5 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (X0 @ sK1 @ Y0))))))) )),
% 52.91/7.89 inference(equality_resolution,[],[f214])).
% 52.91/7.89 thf(f2356,definition,(
% 52.91/7.89 spl6_53 <=> ($true = ((sK3 @ (sK4 @ sK3))))),
% 52.91/7.89 introduced(definition,[new_symbols(definition,[spl6_53])],[avatar_definition])).
% 52.91/7.89 thf(f2358,plain,(
% 52.91/7.89 ($true = ((sK3 @ (sK4 @ sK3)))) | ~spl6_53),
% 52.91/7.89 inference(avatar_component_clause,[],[f2356])).
% 52.91/7.89 thf(f2360,definition,(
% 52.91/7.89 spl6_54 <=> ($true = ((sK3 @ sK2)))),
% 52.91/7.89 introduced(definition,[new_symbols(definition,[spl6_54])],[avatar_definition])).
% 52.91/7.89 thf(f2362,plain,(
% 52.91/7.89 ($true = ((sK3 @ sK2))) | ~spl6_54),
% 52.91/7.89 inference(avatar_component_clause,[],[f2360])).
% 52.91/7.89 thf(f2363,plain,(
% 52.91/7.89 spl6_53 | spl6_54),
% 52.91/7.89 inference(avatar_split_clause,[],[f574,f2360,f2356])).
% 52.91/7.89 thf(f7978,plain,(
% 52.91/7.89 ($true != $true) | ($false = ((sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y2)))) @ (^[Y1 : a]: (sK0 @ (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ ((^[Y4 : a > a]: ((^[Y5 : a]: (Y5)))) @ Y2 @ Y3))))) @ Y1))) @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK2 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y2)))) @ sK2 @ Y0))))))),
% 52.91/7.89 inference(constrained_superposition,[],[f1813,f14])).
% 52.91/7.89 thf(f7991,plain,(
% 52.91/7.89 ($false = ((sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y2)))) @ (^[Y1 : a]: (sK0 @ (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ ((^[Y4 : a > a]: ((^[Y5 : a]: (Y5)))) @ Y2 @ Y3))))) @ Y1))) @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK2 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y2)))) @ sK2 @ Y0))))))),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f7978])).
% 52.91/7.89 thf(f7992,plain,(
% 52.91/7.89 ($false = ((sK3 @ (sK4 @ sK3)))) | ($true = ((sK3 @ sK2)))),
% 52.91/7.89 inference(beta-eta_normalization,[],[f7991])).
% 52.91/7.89 thf(f8118,plain,(
% 52.91/7.89 ($true = $false) | ($true = ((sK3 @ sK2))) | ~spl6_53),
% 52.91/7.89 inference(forward_demodulation,[],[f7992,f2358])).
% 52.91/7.89 thf(f8119,plain,(
% 52.91/7.89 ($true = ((sK3 @ sK2))) | ~spl6_53),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f8118])).
% 52.91/7.89 thf(f8172,plain,(
% 52.91/7.89 ($true != $true) | ($false = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ ((^[Y1 : a > a]: ((^[Y2 : a]: (sK2 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ (^[Y1 : a]: (sK0 @ (sK5 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ ((^[Y4 : a > a]: ((^[Y5 : a]: (sK2 @ ((^[Y6 : a > a]: ((^[Y7 : a]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))) @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (sK2 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ sK1 @ Y0)))))) | ~spl6_10),
% 52.91/7.89 inference(constrained_superposition,[],[f1816,f430])).
% 52.91/7.89 thf(f8347,plain,(
% 52.91/7.89 ($false = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ ((^[Y1 : a > a]: ((^[Y2 : a]: (sK2 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ (^[Y1 : a]: (sK0 @ (sK5 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ ((^[Y4 : a > a]: ((^[Y5 : a]: (sK2 @ ((^[Y6 : a > a]: ((^[Y7 : a]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))) @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (sK2 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ sK1 @ Y0)))))) | ~spl6_10),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f8172])).
% 52.91/7.89 thf(f8348,plain,(
% 52.91/7.89 ($false = ((sK3 @ (^[Y0 : a]: (sK5 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0)))))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))))) | ~spl6_10),
% 52.91/7.89 inference(beta-eta_normalization,[],[f8347])).
% 52.91/7.89 thf(f8379,plain,(
% 52.91/7.89 ($true = $false) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))))) | (~spl6_10 | ~spl6_28)),
% 52.91/7.89 inference(forward_demodulation,[],[f8348,f565])).
% 52.91/7.89 thf(f8380,plain,(
% 52.91/7.89 ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))))) | (~spl6_10 | ~spl6_28)),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f8379])).
% 52.91/7.89 thf(f8389,plain,(
% 52.91/7.89 ($true = $false) | (~spl6_10 | ~spl6_28)),
% 52.91/7.89 inference(forward_demodulation,[],[f8380,f151])).
% 52.91/7.89 thf(f8390,plain,(
% 52.91/7.89 $false | (~spl6_10 | ~spl6_28)),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f8389])).
% 52.91/7.89 thf(f8391,plain,(
% 52.91/7.89 ~spl6_10 | ~spl6_28),
% 52.91/7.89 inference(avatar_contradiction_clause,[],[f8390])).
% 52.91/7.89 thf(f8418,plain,(
% 52.91/7.89 spl6_54 | ~spl6_53),
% 52.91/7.89 inference(avatar_split_clause,[],[f8119,f2356,f2360])).
% 52.91/7.89 thf(f8783,definition,(
% 52.91/7.89 spl6_78 <=> ($false = ((sK3 @ sK2)))),
% 52.91/7.89 introduced(definition,[new_symbols(definition,[spl6_78])],[avatar_definition])).
% 52.91/7.89 thf(f8785,plain,(
% 52.91/7.89 ($false = ((sK3 @ sK2))) | ~spl6_78),
% 52.91/7.89 inference(avatar_component_clause,[],[f8783])).
% 52.91/7.89 thf(f8822,definition,(
% 52.91/7.89 spl6_87 <=> ! [X1 : (a > a)] : ((sK2 != X1) | ($false = ((sK3 @ X1))))),
% 52.91/7.89 introduced(definition,[new_symbols(definition,[spl6_87])],[avatar_definition])).
% 52.91/7.89 thf(f8823,plain,(
% 52.91/7.89 ( ! [X1 : (a > a)] : ((sK2 != X1) | ($false = ((sK3 @ X1)))) ) | ~spl6_87),
% 52.91/7.89 inference(avatar_component_clause,[],[f8822])).
% 52.91/7.89 thf(f9255,plain,(
% 52.91/7.89 ($true != $true) | ($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (sK2 @ Y0)))))) | ~spl6_54),
% 52.91/7.89 inference(constrained_superposition,[],[f15,f2362])).
% 52.91/7.89 thf(f9274,plain,(
% 52.91/7.89 ($true = ((sK3 @ (^[Y0 : a]: (sK0 @ (sK2 @ Y0)))))) | ~spl6_54),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f9255])).
% 52.91/7.89 thf(f10284,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($true != $true) | ($false = ((sK3 @ X0))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (sK2 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ sK1 @ Y0)))))) | ((((^[Y0 : a > a]: ((^[Y1 : a]: (sK2 @ ((^[Y2 : a > a]: ((^[Y3 : a]: (Y3)))) @ Y0 @ Y1))))) @ sK0)) != X0)) ) | spl6_28),
% 52.91/7.89 inference(constrained_superposition,[],[f564,f218])).
% 52.91/7.89 thf(f10305,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($false = ((sK3 @ X0))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (sK2 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ sK1 @ Y0)))))) | ((((^[Y0 : a > a]: ((^[Y1 : a]: (sK2 @ ((^[Y2 : a > a]: ((^[Y3 : a]: (Y3)))) @ Y0 @ Y1))))) @ sK0)) != X0)) ) | spl6_28),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f10284])).
% 52.91/7.89 thf(f10306,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($false = ((sK3 @ X0))) | ($true = ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))))) | (sK2 != X0)) ) | spl6_28),
% 52.91/7.89 inference(beta-eta_normalization,[],[f10305])).
% 52.91/7.89 thf(f10307,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($true = $false) | ($false = ((sK3 @ X0))) | (sK2 != X0)) ) | spl6_28),
% 52.91/7.89 inference(forward_demodulation,[],[f10306,f151])).
% 52.91/7.89 thf(f10308,plain,(
% 52.91/7.89 ( ! [X0 : (a > a)] : (($false = ((sK3 @ X0))) | (sK2 != X0)) ) | spl6_28),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f10307])).
% 52.91/7.89 thf(f10309,plain,(
% 52.91/7.89 spl6_87 | spl6_28),
% 52.91/7.89 inference(avatar_split_clause,[],[f10308,f563,f8822])).
% 52.91/7.89 thf(f14322,plain,(
% 52.91/7.89 ($false = ((sK3 @ sK2))) | ~spl6_87),
% 52.91/7.89 inference(equality_resolution,[],[f8823])).
% 52.91/7.89 thf(f14323,plain,(
% 52.91/7.89 spl6_78 | ~spl6_87),
% 52.91/7.89 inference(avatar_split_clause,[],[f14322,f8822,f8783])).
% 52.91/7.89 thf(f14328,plain,(
% 52.91/7.89 ($true = $false) | (~spl6_54 | ~spl6_78)),
% 52.91/7.89 inference(constrained_superposition,[],[f8785,f2362])).
% 52.91/7.89 thf(f14385,plain,(
% 52.91/7.89 $false | (~spl6_54 | ~spl6_78)),
% 52.91/7.89 inference(trivial_inequality_removal,[],[f14328])).
% 52.91/7.89 thf(f14386,plain,(
% 52.91/7.89 ~spl6_54 | ~spl6_78),
% 52.91/7.89 inference(avatar_contradiction_clause,[],[f14385])).
% 52.91/7.89 thf(f14414,plain,(
% 52.91/7.89 spl6_10 | ~spl6_54),
% 52.91/7.89 inference(avatar_split_clause,[],[f9274,f2360,f428])).
% 52.91/7.89 cnf(s59, plain, spl6_53 | spl6_54, inference(sat_conversion,[],[f2363])).
% 52.91/7.89 cnf(s76, plain, ~spl6_10 | ~spl6_28, inference(sat_conversion,[],[f8391])).
% 52.91/7.89 cnf(s81, plain, ~spl6_53 | spl6_54, inference(sat_conversion,[],[f8418])).
% 52.91/7.89 cnf(s207, plain, spl6_28 | spl6_87, inference(sat_conversion,[],[f10309])).
% 52.91/7.89 cnf(s265, plain, spl6_78 | ~spl6_87, inference(sat_conversion,[],[f14323])).
% 52.91/7.89 cnf(s267, plain, ~spl6_54 | ~spl6_78, inference(sat_conversion,[],[f14386])).
% 52.91/7.89 cnf(s271, plain, spl6_10 | ~spl6_54, inference(sat_conversion,[],[f14414])).
% 52.91/7.89 cnf(s272, plain, spl6_54, inference(rat,[],[s59,s81])).
% 52.91/7.89 cnf(s273, plain, spl6_10, inference(rat,[],[s271,s272])).
% 52.91/7.89 cnf(s274, plain, ~spl6_78, inference(rat,[],[s267,s272])).
% 52.91/7.89 cnf(s277, plain, ~spl6_28, inference(rat,[],[s76,s273])).
% 52.91/7.89 cnf(s278, plain, ~spl6_87, inference(rat,[],[s265,s274])).
% 52.91/7.89 cnf(s280, plain, $false, inference(rat,[],[s207,s278,s277])).
% 52.91/7.89 thf(f14415,plain,(
% 52.91/7.89 $false),
% 52.91/7.89 inference(avatar_sat_refutation,[],[s280])).
% 52.91/7.89 % SZS output end Proof for theBenchmark
% 52.91/7.89 % (828423)------------------------------
% 52.91/7.89 % (828423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/7.89 % (828423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/7.89 % (828423)CaDiCaL version: 2.1.3
% 52.91/7.89 % (828423)Termination reason: Refutation
% 52.91/7.89 % (828423)Time elapsed: 2.392 s
% 52.91/7.89 % (828423)Peak memory usage: 20 MB
% 52.91/7.89 % (828423)Instructions burned: 3066 (million)
% 52.91/7.89 % (828339)Success in time 7.54 s
% 52.91/7.89 % Vampire exiting
%------------------------------------------------------------------------------