%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT192^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 07:49:01 AM UTC 2026
% Result : Theorem 66.93s 9.75s
% Output : Refutation 66.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT192^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n014.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 18:07:15 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.58/1.13 % (3014365)Will run a generic schedule for satisfiability detection.
% 5.58/1.13 % (3014370)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2358225837_2999 on theBenchmark for (2999ds/0Mi)
% 5.58/1.13 % (3014371)% WARNING: option uhcvi not known.
% 5.58/1.13 % (3014371)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2914530835:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.58/1.13 % (3014372)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1861878971:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.58/1.13 % (3014373)dis+10_1_sil=32000:sp=arity:random_seed=2654886165:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.58/1.13 % (3014374)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2408755805:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.58/1.13 % Exception at run slice level
% 5.58/1.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.58/1.13 % (3014375)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=440026952:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.58/1.13 % (3014376)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3428643087:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.58/1.13 % (3014371)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.58/1.13 % (3014374)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.58/1.13 % (3014384)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3678387982:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.58/1.13 % (3014371)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.58/1.13 % Exception at run slice level
% 5.58/1.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.58/1.13 % (3014373)Instruction limit reached!
% 5.58/1.13 % (3014373)------------------------------
% 5.58/1.13 % (3014373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.13 % (3014373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.13 % (3014373)CaDiCaL version: 2.1.3
% 5.58/1.13 % (3014373)Termination reason: Instruction limit
% 5.58/1.13 % (3014373)Termination phase: Saturation
% 5.58/1.13 % (3014373)Time elapsed: 0.046 s
% 5.58/1.13 % (3014373)Peak memory usage: 12 MB
% 5.58/1.13 % (3014373)Instructions burned: 103 (million)
% 5.58/1.13 % (3014374)Instruction limit reached!
% 5.58/1.13 % (3014374)------------------------------
% 5.58/1.13 % (3014374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.13 % (3014374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.13 % (3014374)CaDiCaL version: 2.1.3
% 5.58/1.13 % (3014374)Termination reason: Instruction limit
% 5.58/1.13 % (3014374)Termination phase: Saturation
% 5.58/1.13 % (3014374)Time elapsed: 0.052 s
% 5.58/1.13 % (3014374)Peak memory usage: 13 MB
% 5.58/1.13 % (3014374)Instructions burned: 116 (million)
% 5.58/1.13 % (3014387)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=228342485:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.58/1.13 % (3014388)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=2901487808:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.58/1.13 % (3014390)ott-21_1_sil=16000:fs=off:random_seed=2179152742:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.58/1.13 % (3014375)Instruction limit reached!
% 5.58/1.13 % (3014375)------------------------------
% 5.58/1.13 % (3014375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.13 % (3014375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.13 % (3014375)CaDiCaL version: 2.1.3
% 5.58/1.13 % (3014375)Termination reason: Instruction limit
% 5.58/1.13 % (3014375)Termination phase: Saturation
% 5.58/1.13 % (3014375)Time elapsed: 0.060 s
% 5.58/1.13 % (3014375)Peak memory usage: 13 MB
% 5.58/1.13 % (3014375)Instructions burned: 131 (million)
% 5.58/1.13 % (3014388)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.58/1.13 % (3014394)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=652149341:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.81/2.92 % (3014388)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.81/2.92 % (3014376)Instruction limit reached!
% 16.81/2.92 % (3014376)------------------------------
% 16.81/2.92 % (3014376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.92 % (3014376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.92 % (3014376)CaDiCaL version: 2.1.3
% 16.81/2.92 % (3014376)Termination reason: Instruction limit
% 16.81/2.92 % (3014376)Termination phase: Saturation
% 16.81/2.92 % (3014376)Time elapsed: 0.093 s
% 16.81/2.92 % (3014376)Peak memory usage: 13 MB
% 16.81/2.92 % (3014376)Instructions burned: 159 (million)
% 16.81/2.92 % (3014387)Instruction limit reached!
% 16.81/2.92 % (3014387)------------------------------
% 16.81/2.92 % (3014387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.92 % (3014387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.92 % (3014387)CaDiCaL version: 2.1.3
% 16.81/2.92 % (3014387)Termination reason: Instruction limit
% 16.81/2.92 % (3014387)Termination phase: Saturation
% 16.81/2.92 % (3014387)Time elapsed: 0.060 s
% 16.81/2.92 % (3014387)Peak memory usage: 13 MB
% 16.81/2.92 % (3014387)Instructions burned: 133 (million)
% 16.81/2.92 % (3014396)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1442647730:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.81/2.92 % (3014390)Instruction limit reached!
% 16.81/2.92 % (3014390)------------------------------
% 16.81/2.92 % (3014390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.92 % (3014390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.92 % (3014390)CaDiCaL version: 2.1.3
% 16.81/2.92 % (3014390)Termination reason: Instruction limit
% 16.81/2.92 % (3014390)Termination phase: Saturation
% 16.81/2.92 % (3014390)Time elapsed: 0.082 s
% 16.81/2.92 % (3014390)Peak memory usage: 13 MB
% 16.81/2.92 % (3014390)Instructions burned: 180 (million)
% 16.81/2.92 % (3014397)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=897477489:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.81/2.92 % (3014399)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=999868231:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 16.81/2.92 % Exception at run slice level
% 16.81/2.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.81/2.92 % Exception at run slice level
% 16.81/2.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.81/2.92 % (3014411)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=3588786930: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)
% 16.81/2.92 % (3014413)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2444305142:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.81/2.92 % (3014411)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.81/2.92 % (3014413)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.81/2.92 % (3014388)Instruction limit reached!
% 16.81/2.92 % (3014388)------------------------------
% 16.81/2.92 % (3014388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.92 % (3014388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.92 % (3014388)CaDiCaL version: 2.1.3
% 16.81/2.92 % (3014388)Termination reason: Instruction limit
% 16.81/2.92 % (3014388)Termination phase: Saturation
% 16.81/2.92 % (3014388)Time elapsed: 0.236 s
% 16.81/2.92 % (3014388)Peak memory usage: 16 MB
% 16.81/2.92 % (3014388)Instructions burned: 687 (million)
% 16.81/2.92 % (3014418)fmb+10_1_sil=64000:random_seed=1423808216:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.81/2.92 % (3014418)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.81/2.92 % (3014394)Instruction limit reached!
% 16.81/2.92 % (3014394)------------------------------
% 16.81/2.92 % (3014394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.92 % (3014394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.92 % (3014394)CaDiCaL version: 2.1.3
% 16.81/2.92 % (3014394)Termination reason: Instruction limit
% 16.81/2.92 % (3014394)Termination phase: Saturation
% 47.10/6.96 % (3014394)Time elapsed: 0.237 s
% 47.10/6.96 % (3014394)Peak memory usage: 14 MB
% 47.10/6.96 % (3014394)Instructions burned: 478 (million)
% 47.10/6.96 % Exception at run slice level
% 47.10/6.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.10/6.96 % (3014421)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=955665713:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 47.10/6.96 % (3014420)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1547771710:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 47.10/6.96 % Exception at run slice level
% 47.10/6.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.10/6.96 % (3014424)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=78056591:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 47.10/6.96 % (3014424)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 47.10/6.96 % Exception at run slice level
% 47.10/6.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.10/6.96 % (3014426)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=795104539:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 47.10/6.96 % (3014426)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 47.10/6.96 % (3014426)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 47.10/6.96 % (3014411)Instruction limit reached!
% 47.10/6.96 % (3014411)------------------------------
% 47.10/6.96 % (3014411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.10/6.96 % (3014411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.10/6.96 % (3014411)CaDiCaL version: 2.1.3
% 47.10/6.96 % (3014411)Termination reason: Instruction limit
% 47.10/6.96 % (3014411)Termination phase: Saturation
% 47.10/6.96 % (3014411)Time elapsed: 0.392 s
% 47.10/6.96 % (3014411)Peak memory usage: 17 MB
% 47.10/6.96 % (3014411)Instructions burned: 693 (million)
% 47.10/6.96 % (3014428)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3428778791:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 47.10/6.96 % Exception at run slice level
% 47.10/6.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.10/6.96 % (3014430)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=416568325:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 47.10/6.96 % (3014413)Instruction limit reached!
% 47.10/6.96 % (3014413)------------------------------
% 47.10/6.96 % (3014413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.10/6.96 % (3014413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.10/6.96 % (3014413)CaDiCaL version: 2.1.3
% 47.10/6.96 % (3014413)Termination reason: Instruction limit
% 47.10/6.96 % (3014413)Termination phase: Saturation
% 47.10/6.96 % (3014413)Time elapsed: 0.474 s
% 47.10/6.96 % (3014413)Peak memory usage: 19 MB
% 47.10/6.96 % (3014413)Instructions burned: 880 (million)
% 47.10/6.96 % (3014432)ott-2_1_sil=16000:newcnf=on:random_seed=2094010981:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 47.10/6.96 % Exception at run slice level
% 47.10/6.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.10/6.96 % (3014432)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 47.10/6.96 % (3014434)ott+10_1_sil=32000:tgt=ground:random_seed=2165512939:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 47.10/6.96 % (3014397)Instruction limit reached!
% 47.10/6.96 % (3014397)------------------------------
% 47.10/6.96 % (3014397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.10/6.96 % (3014397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.10/6.96 % (3014397)CaDiCaL version: 2.1.3
% 47.10/6.96 % (3014397)Termination reason: Instruction limit
% 47.10/6.96 % (3014397)Termination phase: Saturation
% 47.10/6.96 % (3014397)Time elapsed: 0.661 s
% 47.10/6.96 % (3014397)Peak memory usage: 20 MB
% 47.10/6.96 % (3014397)Instructions burned: 1181 (million)
% 47.10/6.96 % (3014436)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=226761601:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 47.10/6.96 % Exception at run slice level
% 47.10/6.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.93/9.75 % (3014438)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2584694501:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 66.93/9.75 % (3014438)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 66.93/9.75 % (3014426)Instruction limit reached!
% 66.93/9.75 % (3014426)------------------------------
% 66.93/9.75 % (3014426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014426)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014426)Termination reason: Instruction limit
% 66.93/9.75 % (3014426)Termination phase: Saturation
% 66.93/9.75 % (3014426)Time elapsed: 0.759 s
% 66.93/9.75 % (3014426)Peak memory usage: 18 MB
% 66.93/9.75 % (3014426)Instructions burned: 1472 (million)
% 66.93/9.75 % (3014440)dis+21_1_sil=32000:sas=cadical:random_seed=3979788587:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 66.93/9.75 % (3014432)Instruction limit reached!
% 66.93/9.75 % (3014432)------------------------------
% 66.93/9.75 % (3014432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014432)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014432)Termination reason: Instruction limit
% 66.93/9.75 % (3014432)Termination phase: Saturation
% 66.93/9.75 % (3014432)Time elapsed: 0.496 s
% 66.93/9.75 % (3014432)Peak memory usage: 17 MB
% 66.93/9.75 % (3014432)Instructions burned: 870 (million)
% 66.93/9.75 % (3014442)ott+11_1_sil=16000:gs=on:random_seed=1814867987:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 66.93/9.75 % (3014442)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 66.93/9.75 % (3014424)Instruction limit reached!
% 66.93/9.75 % (3014424)------------------------------
% 66.93/9.75 % (3014424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014424)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014424)Termination reason: Instruction limit
% 66.93/9.75 % (3014424)Termination phase: Saturation
% 66.93/9.75 % (3014424)Time elapsed: 1.327 s
% 66.93/9.75 % (3014424)Peak memory usage: 32 MB
% 66.93/9.75 % (3014424)Instructions burned: 5131 (million)
% 66.93/9.75 % (3014444)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1728554234:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 66.93/9.75 % Exception at run slice level
% 66.93/9.75 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.93/9.75 % (3014446)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1471881217:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 66.93/9.75 % (3014442)Instruction limit reached!
% 66.93/9.75 % (3014442)------------------------------
% 66.93/9.75 % (3014442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014442)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014442)Termination reason: Instruction limit
% 66.93/9.75 % (3014442)Termination phase: Saturation
% 66.93/9.75 % (3014442)Time elapsed: 1.198 s
% 66.93/9.75 % (3014442)Peak memory usage: 19 MB
% 66.93/9.75 % (3014442)Instructions burned: 2251 (million)
% 66.93/9.75 % (3014448)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2449529087:i=29340_2974 on theBenchmark for (2974ds/29340Mi)
% 66.93/9.75 % (3014438)Instruction limit reached!
% 66.93/9.75 % (3014438)------------------------------
% 66.93/9.75 % (3014438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014438)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014438)Termination reason: Instruction limit
% 66.93/9.75 % (3014438)Termination phase: Saturation
% 66.93/9.75 % (3014438)Time elapsed: 1.744 s
% 66.93/9.75 % (3014438)Peak memory usage: 28 MB
% 66.93/9.75 % (3014438)Instructions burned: 3514 (million)
% 66.93/9.75 % (3014450)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4072893461:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 66.93/9.75 % (3014440)Instruction limit reached!
% 66.93/9.75 % (3014440)------------------------------
% 66.93/9.75 % (3014440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014440)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014440)Termination reason: Instruction limit
% 66.93/9.75 % (3014440)Termination phase: Saturation
% 66.93/9.75 % (3014440)Time elapsed: 1.763 s
% 66.93/9.75 % (3014440)Peak memory usage: 27 MB
% 66.93/9.75 % (3014440)Instructions burned: 3773 (million)
% 66.93/9.75 % (3014452)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2991961259:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 66.93/9.75 % (3014446)Instruction limit reached!
% 66.93/9.75 % (3014446)------------------------------
% 66.93/9.75 % (3014446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014446)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014446)Termination reason: Instruction limit
% 66.93/9.75 % (3014446)Termination phase: Saturation
% 66.93/9.75 % (3014446)Time elapsed: 1.242 s
% 66.93/9.75 % (3014446)Peak memory usage: 30 MB
% 66.93/9.75 % (3014446)Instructions burned: 4593 (million)
% 66.93/9.75 % (3014454)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2651663084:fmbsr=2:i=46332_2969 on theBenchmark for (2969ds/46332Mi)
% 66.93/9.75 % Exception at run slice level
% 66.93/9.75 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.93/9.75 % Exception at run slice level
% 66.93/9.75 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.93/9.75 % (3014456)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=808752145:i=14071_2969 on theBenchmark for (2969ds/14071Mi)
% 66.93/9.75 % (3014457)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3826400710:i=22565:add=on:rawr=on_2969 on theBenchmark for (2969ds/22565Mi)
% 66.93/9.75 % Exception at run slice level
% 66.93/9.75 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.93/9.75 % (3014460)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=921257095:i=8173:av=off_2968 on theBenchmark for (2968ds/8173Mi)
% 66.93/9.75 % (3014434)Instruction limit reached!
% 66.93/9.75 % (3014434)------------------------------
% 66.93/9.75 % (3014434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014434)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014434)Termination reason: Instruction limit
% 66.93/9.75 % (3014434)Termination phase: Saturation
% 66.93/9.75 % (3014434)Time elapsed: 2.710 s
% 66.93/9.75 % (3014434)Peak memory usage: 42 MB
% 66.93/9.75 % (3014434)Instructions burned: 5115 (million)
% 66.93/9.75 % (3014476)dis+10_16:1_sil=16000:random_seed=3846897008:i=9155:fsr=off_2964 on theBenchmark for (2964ds/9155Mi)
% 66.93/9.75 % (3014450)Instruction limit reached!
% 66.93/9.75 % (3014450)------------------------------
% 66.93/9.75 % (3014450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014450)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014450)Termination reason: Instruction limit
% 66.93/9.75 % (3014450)Termination phase: Saturation
% 66.93/9.75 % (3014450)Time elapsed: 2.617 s
% 66.93/9.75 % (3014450)Peak memory usage: 46 MB
% 66.93/9.75 % (3014450)Instructions burned: 5212 (million)
% 66.93/9.75 % (3014478)ott-3_8_sil=64000:random_seed=3530243585:i=20139:bs=on_2946 on theBenchmark for (2946ds/20139Mi)
% 66.93/9.75 % (3014457)Instruction limit reached!
% 66.93/9.75 % (3014457)------------------------------
% 66.93/9.75 % (3014457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014457)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014457)Termination reason: Instruction limit
% 66.93/9.75 % (3014457)Termination phase: Saturation
% 66.93/9.75 % (3014457)Time elapsed: 3.658 s
% 66.93/9.75 % (3014457)Peak memory usage: 26 MB
% 66.93/9.75 % (3014457)Instructions burned: 22566 (million)
% 66.93/9.75 % (3014494)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2942146787:fmbsr=2:i=32576_2932 on theBenchmark for (2932ds/32576Mi)
% 66.93/9.75 % Exception at run slice level
% 66.93/9.75 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 66.93/9.75 % (3014496)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2746959639:i=11404_2932 on theBenchmark for (2932ds/11404Mi)
% 66.93/9.75 % (3014460)Instruction limit reached!
% 66.93/9.75 % (3014460)------------------------------
% 66.93/9.75 % (3014460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014460)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014460)Termination reason: Instruction limit
% 66.93/9.75 % (3014460)Termination phase: Saturation
% 66.93/9.75 % (3014460)Time elapsed: 4.570 s
% 66.93/9.75 % (3014460)Peak memory usage: 40 MB
% 66.93/9.75 % (3014460)Instructions burned: 8174 (million)
% 66.93/9.75 % (3014498)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3975190516:i=14134_2922 on theBenchmark for (2922ds/14134Mi)
% 66.93/9.75 % (3014498)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 66.93/9.75 % (3014476)Instruction limit reached!
% 66.93/9.75 % (3014476)------------------------------
% 66.93/9.75 % (3014476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.75 % (3014476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.75 % (3014476)CaDiCaL version: 2.1.3
% 66.93/9.75 % (3014476)Termination reason: Instruction limit
% 66.93/9.75 % (3014476)Termination phase: Saturation
% 66.93/9.75 % (3014476)Time elapsed: 4.423 s
% 66.93/9.75 % (3014476)Peak memory usage: 54 MB
% 66.93/9.75 % (3014476)Instructions burned: 9157 (million)
% 66.93/9.75 % (3014500)dis+33_16_sil=32000:sac=on:random_seed=2299437422:i=15851:nm=0_2919 on theBenchmark for (2919ds/15851Mi)
% 66.93/9.75 % (3014371) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3014365-3014371"...
% 66.93/9.75 % (3014371)...printing done.
% 66.93/9.75 % (3014371)Refutation found. Thanks to Tanya!
% 66.93/9.75 % SZS status Theorem for theBenchmark
% 66.93/9.75 % SZS output start Proof for theBenchmark
% 66.93/9.75 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 66.93/9.75 thf(type_def_6, type, set: $tType > $tType).
% 66.93/9.75 thf(type_def_7, type, itself: $tType > $tType).
% 66.93/9.75 thf(type_def_8, type, a: $tType).
% 66.93/9.75 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 66.93/9.75 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 66.93/9.75 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 66.93/9.75 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 66.93/9.75 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 66.93/9.75 thf(func_def_4, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 66.93/9.75 thf(func_def_5, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 66.93/9.75 thf(func_def_6, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_7, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 66.93/9.75 thf(func_def_8, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_9, type, coindu351974385stinct: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_10, type, coinductive_lfilter: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_11, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_12, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_13, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_14, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 66.93/9.75 thf(func_def_15, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 66.93/9.75 thf(func_def_16, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_17, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_18, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 66.93/9.75 thf(func_def_19, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_20, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_21, type, coindu63249387sorted: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 66.93/9.75 thf(func_def_22, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 66.93/9.75 thf(func_def_23, type, undefined: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_24, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 66.93/9.75 thf(func_def_25, type, lMirro427583474mirror: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_26, type, lMirro999291890or_aux: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_27, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 66.93/9.75 thf(func_def_28, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 66.93/9.75 thf(func_def_29, type, type2: !>[X0: $tType]:(itself @ X0)).
% 66.93/9.75 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 66.93/9.75 thf(func_def_31, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 66.93/9.75 thf(func_def_32, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 66.93/9.75 thf(func_def_33, type, acc: coinductive_llist @ a).
% 66.93/9.75 thf(func_def_34, type, x: a).
% 66.93/9.75 thf(func_def_35, type, xs: coinductive_llist @ a).
% 66.93/9.75 thf(func_def_37, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 66.93/9.75 thf(func_def_38, type, vAND: ($o > $o > $o)).
% 66.93/9.75 thf(func_def_39, type, vNOT: ($o > $o)).
% 66.93/9.75 thf(func_def_40, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 66.93/9.75 thf(func_def_41, type, db0: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_42, type, db1: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_43, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 66.93/9.75 thf(func_def_44, type, vOR: ($o > $o > $o)).
% 66.93/9.75 thf(func_def_47, type, db5: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_48, type, db4: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_49, type, db3: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 66.93/9.75 thf(func_def_52, type, vIMP: ($o > $o > $o)).
% 66.93/9.75 thf(func_def_53, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 66.93/9.75 thf(func_def_54, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 66.93/9.75 thf(func_def_55, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 66.93/9.75 thf(func_def_56, type, sK3: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_57, type, sK4: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_58, type, sK5: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_59, type, sK6: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_60, type, sK7: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_61, type, sK8: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_62, type, sK9: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_63, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_64, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 66.93/9.75 thf(func_def_65, type, sK12: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_66, type, sK13: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_67, type, sK14: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_68, type, sK15: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_69, type, sK16: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_70, type, sK17: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_71, type, sK18: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_72, type, sK19: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_73, type, sK20: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_74, type, sK21: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_75, type, sK22: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_76, type, sK23: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_77, type, sK24: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_78, type, sK25: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_79, type, sK26: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_80, type, sK27: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_81, type, sK28: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_82, type, sK29: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_83, type, sK30: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_84, type, sK31: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_85, type, sK32: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 66.93/9.75 thf(func_def_86, type, sK33: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_87, type, sK34: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_88, type, sK35: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > X0))).
% 66.93/9.75 thf(func_def_89, type, sK36: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_90, type, sK37: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_91, type, sK38: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > X0))).
% 66.93/9.75 thf(func_def_92, type, sK39: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_93, type, sK40: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_94, type, sK41: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 66.93/9.75 thf(func_def_95, type, sK42: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_96, type, sK43: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_97, type, sK44: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_98, type, sK45: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_99, type, sK46: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 66.93/9.75 thf(func_def_100, type, sK47: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_101, type, sK48: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_102, type, sK49: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_103, type, sK50: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_104, type, sK51: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_105, type, sK52: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_106, type, sK53: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_107, type, sK54: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_108, type, sK55: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_109, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 66.93/9.75 thf(func_def_110, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 66.93/9.75 thf(func_def_111, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 66.93/9.75 thf(func_def_112, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 66.93/9.75 thf(func_def_113, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 66.93/9.75 thf(func_def_114, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 66.93/9.75 thf(func_def_115, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 66.93/9.75 thf(func_def_116, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 66.93/9.75 thf(func_def_117, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 66.93/9.75 thf(func_def_118, type, sK65: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 66.93/9.75 thf(func_def_119, type, sK66: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 66.93/9.75 thf(func_def_120, type, sK67: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_121, type, sK68: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_122, type, sK69: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_123, type, sK70: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 66.93/9.75 thf(func_def_124, type, sK71: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 66.93/9.75 thf(func_def_125, type, sK72: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_126, type, sK73: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 66.93/9.75 thf(func_def_127, type, sK74: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_128, type, sK75: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_129, type, sK76: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 66.93/9.75 thf(func_def_130, type, sK77: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_131, type, sK78: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_132, type, sK79: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 66.93/9.75 thf(func_def_133, type, sK80: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_134, type, sK81: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_135, type, sK82: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_136, type, sK83: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_137, type, sK84: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_138, type, sK85: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_139, type, sK86: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_141, type, sK88: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_142, type, sK89: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_143, type, sK90: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 66.93/9.75 thf(func_def_144, type, sK91: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 66.93/9.75 thf(func_def_145, type, db6: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_146, type, db8: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_147, type, db7: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_148, type, db10: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_149, type, db9: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_150, type, db12: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(func_def_151, type, db11: !>[X0: $tType]:(X0)).
% 66.93/9.75 thf(f1,axiom,(
% 66.93/9.75 ! [X0 : $tType,X3 : coinductive_llist @ X0,X4 : X0,X5 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ X3 @ (coinductive_LCons @ X0 @ X4 @ X5))) = ((coinductive_LCons @ X0 @ X4 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X4 @ X3) @ X5))))),
% 66.93/9.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_lmirror__aux__simps_I2_J)).
% 66.93/9.75 thf(f3,axiom,(
% 66.93/9.75 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X3 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ (coinductive_lappend @ X0 @ X1 @ X2) @ X3)) = ((coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ X1 @ X3) @ X2)))),
% 66.93/9.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_lmirror__aux__acc)).
% 66.93/9.75 thf(f4,axiom,(
% 66.93/9.75 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (((coinductive_lappend @ X0 @ coinductive_LNil @ X0 @ X1)) = X1)),
% 66.93/9.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_lappend__code_I1_J)).
% 66.93/9.75 thf(f271,conjecture,(
% 66.93/9.75 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 66.93/9.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 66.93/9.75 thf(f272,negated_conjecture,(
% 66.93/9.75 ~ (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 66.93/9.75 inference(negated_conjecture,[status(cth)],[f271])).
% 66.93/9.75 thf(f725,plain,(
% 66.93/9.75 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : X0,X3 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ X1 @ (coinductive_LCons @ X0 @ X2 @ X3))) = ((coinductive_LCons @ X0 @ X2 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X2 @ X1) @ X3))))),
% 66.93/9.75 inference(rectify,[],[f1])).
% 66.93/9.75 thf(f775,plain,(
% 66.93/9.75 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 66.93/9.75 inference(flattening,[],[f272])).
% 66.93/9.75 thf(f1045,plain,(
% 66.93/9.75 ( ! [X0 : $tType,X2 : X0,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((lMirro999291890or_aux @ X0 @ X1 @ (coinductive_LCons @ X0 @ X2 @ X3))) = ((coinductive_LCons @ X0 @ X2 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X2 @ X1) @ X3))))) )),
% 66.93/9.75 inference(cnf_transformation,[],[f725])).
% 66.93/9.75 thf(f1047,plain,(
% 66.93/9.75 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((lMirro999291890or_aux @ X0 @ (coinductive_lappend @ X0 @ X1 @ X2) @ X3)) = ((coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ X1 @ X3) @ X2)))) )),
% 66.93/9.76 inference(cnf_transformation,[],[f3])).
% 66.93/9.76 thf(f1048,plain,(
% 66.93/9.76 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lappend @ X0 @ coinductive_LNil @ X0 @ X1)) = X1)) )),
% 66.93/9.76 inference(cnf_transformation,[],[f4])).
% 66.93/9.76 thf(f1401,plain,(
% 66.93/9.76 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 66.93/9.76 inference(cnf_transformation,[],[f775])).
% 66.93/9.76 thf(f7193,plain,(
% 66.93/9.76 ( ! [X1 : $tType,X2 : coinductive_llist @ X1,X0 : coinductive_llist @ X1] : ((((coinductive_lappend @ X1 @ (lMirro999291890or_aux @ X1 @ coinductive_LNil @ X1 @ X2) @ X0)) = ((lMirro999291890or_aux @ X1 @ X0 @ X2)))) )),
% 66.93/9.76 inference(constrained_superposition,[],[f1047,f1048])).
% 66.93/9.76 thf(f92017,plain,(
% 66.93/9.76 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (lMirro999291890or_aux @ a @ (coinductive_LCons @ a @ x @ acc) @ xs))))),
% 66.93/9.76 inference(constrained_superposition,[],[f1401,f7193])).
% 66.93/9.76 thf(f92038,plain,(
% 66.93/9.76 $false),
% 66.93/9.76 inference(forward_subsumption_resolution,[],[f92017,f1045])).
% 66.93/9.76 % SZS output end Proof for theBenchmark
% 66.93/9.76 % (3014371)------------------------------
% 66.93/9.76 % (3014371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.93/9.76 % (3014371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.93/9.76 % (3014371)CaDiCaL version: 2.1.3
% 66.93/9.76 % (3014371)Termination reason: Refutation
% 66.93/9.76 % (3014371)Time elapsed: 9.473 s
% 66.93/9.76 % (3014371)Peak memory usage: 74 MB
% 66.93/9.76 % (3014371)Instructions burned: 19667 (million)
% 66.93/9.76 % (3014365)Success in time 9.545 s
% 66.93/9.76 % Vampire exiting
%------------------------------------------------------------------------------