%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT226^1 : 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 : n008.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 07:49:04 AM UTC 2026
% Result : Theorem 16.11s 2.54s
% Output : Refutation 16.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT226^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n008.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 18:13:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 4.12/1.01 % (3527874)Will run a generic schedule for satisfiability detection.
% 4.12/1.01 % (3527882)dis+10_1_sil=32000:sp=arity:random_seed=3402524909:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.12/1.01 % (3527880)% WARNING: option uhcvi not known.
% 4.12/1.01 % (3527879)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1134104307_2999 on theBenchmark for (2999ds/0Mi)
% 4.12/1.01 % (3527880)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=82177924:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.12/1.01 % (3527881)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=433599146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.12/1.01 % (3527883)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=879036781:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.12/1.01 % (3527884)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=946169241:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.12/1.01 % (3527885)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2483828353:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.12/1.01 % (3527880)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.12/1.01 % (3527883)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.12/1.01 % (3527882)Instruction limit reached!
% 4.12/1.01 % (3527882)------------------------------
% 4.12/1.01 % (3527882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.01 % (3527882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.01 % (3527882)CaDiCaL version: 2.1.3
% 4.12/1.01 % (3527882)Termination reason: Instruction limit
% 4.12/1.01 % (3527882)Termination phase: Saturation
% 4.12/1.01 % (3527882)Time elapsed: 0.026 s
% 4.12/1.01 % (3527882)Peak memory usage: 12 MB
% 4.12/1.01 % (3527882)Instructions burned: 104 (million)
% 4.12/1.01 % Exception at run slice level
% 4.12/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.12/1.01 % (3527893)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2104926113:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.12/1.01 % (3527880)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.12/1.01 % Exception at run slice level
% 4.12/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.12/1.01 % (3527895)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4275827379:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.12/1.01 % (3527883)Instruction limit reached!
% 4.12/1.01 % (3527883)------------------------------
% 4.12/1.01 % (3527883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.01 % (3527883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.01 % (3527883)CaDiCaL version: 2.1.3
% 4.12/1.01 % (3527883)Termination reason: Instruction limit
% 4.12/1.01 % (3527883)Termination phase: Saturation
% 4.12/1.01 % (3527883)Time elapsed: 0.055 s
% 4.12/1.01 % (3527883)Peak memory usage: 13 MB
% 4.12/1.01 % (3527883)Instructions burned: 116 (million)
% 4.12/1.01 % (3527896)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=1098410142:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.12/1.01 % (3527884)Instruction limit reached!
% 4.12/1.01 % (3527884)------------------------------
% 4.12/1.01 % (3527884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.01 % (3527884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.01 % (3527884)CaDiCaL version: 2.1.3
% 4.12/1.01 % (3527884)Termination reason: Instruction limit
% 4.12/1.01 % (3527884)Termination phase: Saturation
% 4.12/1.01 % (3527884)Time elapsed: 0.063 s
% 4.12/1.01 % (3527884)Peak memory usage: 13 MB
% 4.12/1.01 % (3527884)Instructions burned: 133 (million)
% 4.12/1.01 % (3527896)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.12/1.01 % (3527898)ott-21_1_sil=16000:fs=off:random_seed=370603591:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.12/1.01 % (3527896)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.12/1.01 % (3527885)Instruction limit reached!
% 16.11/2.54 % (3527885)------------------------------
% 16.11/2.54 % (3527885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527885)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527885)Termination reason: Instruction limit
% 16.11/2.54 % (3527885)Termination phase: Saturation
% 16.11/2.54 % (3527885)Time elapsed: 0.077 s
% 16.11/2.54 % (3527885)Peak memory usage: 14 MB
% 16.11/2.54 % (3527885)Instructions burned: 159 (million)
% 16.11/2.54 % (3527900)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1301031373:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.11/2.54 % (3527902)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3569548673:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.11/2.54 % (3527895)Instruction limit reached!
% 16.11/2.54 % (3527895)------------------------------
% 16.11/2.54 % (3527895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527895)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527895)Termination reason: Instruction limit
% 16.11/2.54 % (3527895)Termination phase: Saturation
% 16.11/2.54 % (3527895)Time elapsed: 0.065 s
% 16.11/2.54 % (3527895)Peak memory usage: 13 MB
% 16.11/2.54 % (3527895)Instructions burned: 131 (million)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527905)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3720531932:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.11/2.54 % (3527906)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3604348632:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 16.11/2.54 % (3527898)Instruction limit reached!
% 16.11/2.54 % (3527898)------------------------------
% 16.11/2.54 % (3527898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527898)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527898)Termination reason: Instruction limit
% 16.11/2.54 % (3527898)Termination phase: Saturation
% 16.11/2.54 % (3527898)Time elapsed: 0.079 s
% 16.11/2.54 % (3527898)Peak memory usage: 13 MB
% 16.11/2.54 % (3527898)Instructions burned: 182 (million)
% 16.11/2.54 % (3527909)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=441161722:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527909)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.11/2.54 % (3527911)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=864175776:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.11/2.54 % (3527896)Instruction limit reached!
% 16.11/2.54 % (3527896)------------------------------
% 16.11/2.54 % (3527896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527896)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527896)Termination reason: Instruction limit
% 16.11/2.54 % (3527896)Termination phase: Saturation
% 16.11/2.54 % (3527896)Time elapsed: 0.161 s
% 16.11/2.54 % (3527896)Peak memory usage: 15 MB
% 16.11/2.54 % (3527896)Instructions burned: 688 (million)
% 16.11/2.54 % (3527911)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.11/2.54 % (3527913)fmb+10_1_sil=64000:random_seed=25290223:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 16.11/2.54 % (3527913)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527915)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4020102829:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527917)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3737010739:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527919)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3652472773:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 16.11/2.54 % (3527919)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.11/2.54 % (3527900)Instruction limit reached!
% 16.11/2.54 % (3527900)------------------------------
% 16.11/2.54 % (3527900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527900)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527900)Termination reason: Instruction limit
% 16.11/2.54 % (3527900)Termination phase: Saturation
% 16.11/2.54 % (3527900)Time elapsed: 0.234 s
% 16.11/2.54 % (3527900)Peak memory usage: 14 MB
% 16.11/2.54 % (3527900)Instructions burned: 479 (million)
% 16.11/2.54 % (3527921)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2774041693:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 16.11/2.54 % (3527921)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.11/2.54 % (3527921)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.11/2.54 % (3527909)Instruction limit reached!
% 16.11/2.54 % (3527909)------------------------------
% 16.11/2.54 % (3527909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527909)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527909)Termination reason: Instruction limit
% 16.11/2.54 % (3527909)Termination phase: Saturation
% 16.11/2.54 % (3527909)Time elapsed: 0.341 s
% 16.11/2.54 % (3527909)Peak memory usage: 16 MB
% 16.11/2.54 % (3527909)Instructions burned: 692 (million)
% 16.11/2.54 % (3527923)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2127632295:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527925)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2962480055:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527927)ott-2_1_sil=16000:newcnf=on:random_seed=2603859003:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 16.11/2.54 % (3527911)Instruction limit reached!
% 16.11/2.54 % (3527911)------------------------------
% 16.11/2.54 % (3527911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527911)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527911)Termination reason: Instruction limit
% 16.11/2.54 % (3527911)Termination phase: Saturation
% 16.11/2.54 % (3527911)Time elapsed: 0.439 s
% 16.11/2.54 % (3527911)Peak memory usage: 19 MB
% 16.11/2.54 % (3527911)Instructions burned: 879 (million)
% 16.11/2.54 % (3527927)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.11/2.54 % (3527929)ott+10_1_sil=32000:tgt=ground:random_seed=2901073400:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 16.11/2.54 % (3527905)Instruction limit reached!
% 16.11/2.54 % (3527905)------------------------------
% 16.11/2.54 % (3527905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527905)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527905)Termination reason: Instruction limit
% 16.11/2.54 % (3527905)Termination phase: Saturation
% 16.11/2.54 % (3527905)Time elapsed: 0.561 s
% 16.11/2.54 % (3527905)Peak memory usage: 18 MB
% 16.11/2.54 % (3527905)Instructions burned: 1181 (million)
% 16.11/2.54 % (3527931)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=909395495:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3527933)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1626926962:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 16.11/2.54 % (3527933)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.11/2.54 % (3527927)Instruction limit reached!
% 16.11/2.54 % (3527927)------------------------------
% 16.11/2.54 % (3527927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527927)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527927)Termination reason: Instruction limit
% 16.11/2.54 % (3527927)Termination phase: Saturation
% 16.11/2.54 % (3527927)Time elapsed: 0.406 s
% 16.11/2.54 % (3527927)Peak memory usage: 16 MB
% 16.11/2.54 % (3527927)Instructions burned: 873 (million)
% 16.11/2.54 % (3527921)Instruction limit reached!
% 16.11/2.54 % (3527921)------------------------------
% 16.11/2.54 % (3527921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527921)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527921)Termination reason: Instruction limit
% 16.11/2.54 % (3527921)Termination phase: Saturation
% 16.11/2.54 % (3527921)Time elapsed: 0.717 s
% 16.11/2.54 % (3527921)Peak memory usage: 18 MB
% 16.11/2.54 % (3527921)Instructions burned: 1473 (million)
% 16.11/2.54 % (3527935)dis+21_1_sil=32000:sas=cadical:random_seed=3723940340:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 16.11/2.54 % (3527936)ott+11_1_sil=16000:gs=on:random_seed=1494913960:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 16.11/2.54 % (3527936)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.11/2.54 % (3527919)Instruction limit reached!
% 16.11/2.54 % (3527919)------------------------------
% 16.11/2.54 % (3527919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527919)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527919)Termination reason: Instruction limit
% 16.11/2.54 % (3527919)Termination phase: Saturation
% 16.11/2.54 % (3527919)Time elapsed: 1.279 s
% 16.11/2.54 % (3527919)Peak memory usage: 36 MB
% 16.11/2.54 % (3527919)Instructions burned: 5134 (million)
% 16.11/2.54 % (3528080)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1259042115:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 16.11/2.54 % Exception at run slice level
% 16.11/2.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.11/2.54 % (3528087)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2859393491:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 16.11/2.54 % (3527936)Instruction limit reached!
% 16.11/2.54 % (3527936)------------------------------
% 16.11/2.54 % (3527936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527936)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527936)Termination reason: Instruction limit
% 16.11/2.54 % (3527936)Termination phase: Saturation
% 16.11/2.54 % (3527936)Time elapsed: 1.111 s
% 16.11/2.54 % (3527936)Peak memory usage: 20 MB
% 16.11/2.54 % (3527936)Instructions burned: 2251 (million)
% 16.11/2.54 % (3528253)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4280054572:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 16.11/2.54 % (3527933) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3527874-3527933"...
% 16.11/2.54 % (3527933)...printing done.
% 16.11/2.54 % (3527933)Refutation found. Thanks to Tanya!
% 16.11/2.54 % SZS status Theorem for theBenchmark
% 16.11/2.54 % SZS output start Proof for theBenchmark
% 16.11/2.54 thf(type_def_5, type, tLList446370796tllist: ($tType * $tType) > $tType).
% 16.11/2.54 thf(type_def_6, type, coinductive_llist: $tType > $tType).
% 16.11/2.54 thf(type_def_7, type, product_unit: $tType).
% 16.11/2.54 thf(type_def_8, type, set: $tType > $tType).
% 16.11/2.54 thf(type_def_9, type, nat: $tType).
% 16.11/2.54 thf(type_def_10, type, int: $tType).
% 16.11/2.54 thf(type_def_11, type, itself: $tType > $tType).
% 16.11/2.54 thf(type_def_12, type, b: $tType).
% 16.11/2.54 thf(type_def_13, type, a: $tType).
% 16.11/2.54 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 16.11/2.54 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_1, type, one: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_2, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_3, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_5, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_6, type, semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_7, type, monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_8, type, zero_neq_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_9, type, semiring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_10, type, zero_less_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_11, type, comm_monoid_diff: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_12, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_13, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_14, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_15, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_16, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_17, type, linord1659791738miring: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_18, type, archim1804426504_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_19, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 16.11/2.54 thf(func_def_20, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 16.11/2.54 thf(func_def_21, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 16.11/2.54 thf(func_def_22, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 16.11/2.54 thf(func_def_23, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 16.11/2.54 thf(func_def_24, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 16.11/2.54 thf(func_def_25, type, coinductive_lsublist: !>[X0: $tType]:((coinductive_llist @ X0 > set @ nat > coinductive_llist @ X0))).
% 16.11/2.54 thf(func_def_26, type, coindu780009021istsum: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 16.11/2.54 thf(func_def_27, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.11/2.54 thf(func_def_28, type, one_one: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_29, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 16.11/2.54 thf(func_def_30, type, zero_zero: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_31, type, size_bool: ($o > nat)).
% 16.11/2.54 thf(func_def_32, type, default_default: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_33, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 16.11/2.54 thf(func_def_34, type, suc: (nat > nat)).
% 16.11/2.54 thf(func_def_35, type, case_nat: !>[X0: $tType]:((X0 > (nat > X0) > nat > X0))).
% 16.11/2.54 thf(func_def_36, type, pred: (nat > nat)).
% 16.11/2.54 thf(func_def_37, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 16.11/2.54 thf(func_def_38, type, semiri532925092at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 16.11/2.54 thf(func_def_39, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 16.11/2.54 thf(func_def_40, type, nat_triangle: (nat > nat)).
% 16.11/2.54 thf(func_def_41, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 16.11/2.54 thf(func_def_42, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.11/2.54 thf(func_def_43, type, product_Unity: product_unit).
% 16.11/2.54 thf(func_def_44, type, product_rec_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 16.11/2.54 thf(func_def_45, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 16.11/2.54 thf(func_def_46, type, product_size_unit: (product_unit > nat)).
% 16.11/2.54 thf(func_def_47, type, type2: !>[X0: $tType]:(itself @ X0)).
% 16.11/2.54 thf(func_def_48, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 16.11/2.54 thf(func_def_49, type, tLList98099029ppendt: !>[X0: $tType, X1: $tType]:((coinductive_llist @ X0 > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 16.11/2.54 thf(func_def_50, type, tLList365522113concat: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ coinductive_llist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_51, type, tLList1329345514concat: !>[X0: $tType, X1: $tType]:(((product_unit > X0) > tLList446370796tllist @ coinductive_llist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_52, type, tLList1881248882tdropn: !>[X0: $tType, X1: $tType]:((nat > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 16.11/2.54 thf(func_def_53, type, tLList1813626245filter: !>[X0: $tType, X1: $tType]:((X0 > (X1 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_54, type, tLList1122525870filter: !>[X0: $tType, X1: $tType]:(((product_unit > X0) > (X1 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_55, type, tLList1992840728_TCons: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 16.11/2.54 thf(func_def_56, type, tLList57907754e_TNil: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_57, type, tLList200813139tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > tLList446370796tllist @ X2 @ X0 > X1) > tLList446370796tllist @ X2 @ X0 > X1))).
% 16.11/2.54 thf(func_def_58, type, tLList1614408749tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X2) > (X0 > $o) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > X0) > X0 > tLList446370796tllist @ X2 @ X1))).
% 16.11/2.54 thf(func_def_59, type, tLList11265572tllist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > tLList446370796tllist @ X0 @ X1 > $o))).
% 16.11/2.54 thf(func_def_60, type, tLList457864275tllist: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X1))).
% 16.11/2.54 thf(func_def_61, type, tLList1719791291e_tset: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X0))).
% 16.11/2.54 thf(func_def_62, type, tLList_Mirabelle_ttl: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 16.11/2.54 thf(func_def_63, type, tLList2115636725e_tnth: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > nat > X0))).
% 16.11/2.54 thf(func_def_64, type, tLList636831159tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X2) > (X0 > X0) > X0 > tLList446370796tllist @ X2 @ X1))).
% 16.11/2.54 thf(func_def_65, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 16.11/2.54 thf(func_def_66, type, n: nat).
% 16.11/2.54 thf(func_def_67, type, xs: tLList446370796tllist @ a @ b).
% 16.11/2.54 thf(func_def_69, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.11/2.54 thf(func_def_70, type, db0: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_71, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 16.11/2.54 thf(func_def_72, type, db1: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_73, type, vAND: ($o > $o > $o)).
% 16.11/2.54 thf(func_def_76, type, db4: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_77, type, db3: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_78, type, db2: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_79, type, db6: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_80, type, db5: !>[X0: $tType]:(X0)).
% 16.11/2.54 thf(func_def_81, type, vNOT: ($o > $o)).
% 16.11/2.54 thf(func_def_82, type, vIMP: ($o > $o > $o)).
% 16.11/2.54 thf(func_def_83, type, vOR: ($o > $o > $o)).
% 16.11/2.54 thf(func_def_84, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 16.11/2.54 thf(func_def_85, type, sP0: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > (X0 > $o) > $o))).
% 16.11/2.54 thf(func_def_86, type, sK1: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1))).
% 16.11/2.54 thf(func_def_87, type, sK2: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_88, type, sK3: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 16.11/2.54 thf(func_def_89, type, sK4: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 16.11/2.54 thf(func_def_90, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_91, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_92, type, sK7: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_93, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_94, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 16.11/2.54 thf(func_def_95, type, sK10: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0 > X1))).
% 16.11/2.54 thf(func_def_96, type, sK11: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_97, type, sK12: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > (X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_98, type, sK13: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_99, type, sK14: (nat > nat)).
% 16.11/2.54 thf(func_def_100, type, sK15: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_101, type, sK16: (nat > nat)).
% 16.11/2.54 thf(func_def_102, type, sK17: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_103, type, sK18: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_104, type, sK19: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_105, type, sK20: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_106, type, sK21: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_107, type, sK22: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_108, type, sK23: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > X1))).
% 16.11/2.54 thf(func_def_109, type, sK24: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_110, type, sK25: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X1 > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_111, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 16.11/2.54 thf(func_def_112, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_113, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 16.11/2.54 thf(func_def_114, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > X1))).
% 16.11/2.54 thf(func_def_115, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 16.11/2.54 thf(func_def_116, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 16.11/2.54 thf(func_def_117, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 16.11/2.54 thf(func_def_118, type, sK33: (nat > nat)).
% 16.11/2.54 thf(func_def_119, type, sK34: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_120, type, sK35: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 16.11/2.54 thf(func_def_121, type, sK36: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_122, type, sK37: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 16.11/2.54 thf(func_def_123, type, sK38: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_124, type, sK39: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 16.11/2.54 thf(func_def_125, type, sK40: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 16.11/2.54 thf(func_def_126, type, sK41: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 16.11/2.54 thf(func_def_127, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.11/2.54 thf(func_def_128, type, sK43: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_129, type, sK44: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_130, type, sK45: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.11/2.54 thf(func_def_131, type, sK46: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 16.11/2.54 thf(func_def_132, type, sK47: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.11/2.54 thf(func_def_133, type, sK48: !>[X0: $tType]:(((nat > X0) > nat))).
% 16.11/2.54 thf(func_def_134, type, sK49: ((nat > $o) > nat > nat)).
% 16.11/2.54 thf(func_def_135, type, sK50: ((nat > $o) > nat > nat)).
% 16.11/2.54 thf(func_def_136, type, sK51: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_137, type, sK52: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_138, type, sK53: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_139, type, sK54: ((nat > nat > $o) > nat)).
% 16.11/2.54 thf(func_def_140, type, sK55: (nat > nat > nat)).
% 16.11/2.54 thf(func_def_141, type, sK56: (nat > nat > nat)).
% 16.11/2.54 thf(func_def_142, type, sK57: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.11/2.54 thf(func_def_143, type, sK58: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 16.11/2.54 thf(func_def_144, type, sK59: ((nat > $o) > nat)).
% 16.11/2.54 thf(func_def_145, type, sK60: (nat > nat)).
% 16.11/2.54 thf(func_def_146, type, sK61: !>[X0: $tType]:((X0 > nat))).
% 16.11/2.54 thf(func_def_147, type, sK62: (int > nat)).
% 16.11/2.54 thf(func_def_148, type, sK63: (nat > nat > nat)).
% 16.11/2.54 thf(func_def_149, type, sK64: (nat > nat)).
% 16.11/2.54 thf(func_def_150, type, sK65: (nat > nat > nat)).
% 16.11/2.54 thf(func_def_151, type, sK66: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 16.11/2.54 thf(func_def_152, type, sK67: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 16.11/2.54 thf(func_def_153, type, sK68: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 16.11/2.54 thf(f2,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : nat,X3 : X1] : (((tLList1881248882tdropn @ X0 @ X1 @ X2 @ (tLList57907754e_TNil @ X1 @ X0 @ X3))) = ((tLList57907754e_TNil @ X1 @ X0 @ X3)))),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_tdropn__TNil)).
% 16.11/2.54 thf(f3,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X2 > X1),X4 : (X0 > tLList446370796tllist @ X0 @ X2 > X1),X5 : X2] : (((tLList200813139tllist @ X2 @ X1 @ X0 @ X3 @ X4 @ (tLList57907754e_TNil @ X2 @ X0 @ X5))) = ((X3 @ X5)))),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_tllist_Osimps_I5_J)).
% 16.11/2.54 thf(f12,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : nat,X3 : X1,X4 : tLList446370796tllist @ X1 @ X0] : (((tLList1881248882tdropn @ X1 @ X0 @ (suc @ X2) @ (tLList1992840728_TCons @ X1 @ X0 @ X3 @ X4))) = ((tLList1881248882tdropn @ X1 @ X0 @ X2 @ X4)))),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_tdropn__Suc__TCons)).
% 16.11/2.54 thf(f24,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : tLList446370796tllist @ X1 @ X0] : (! [X3 : X0] : (X2 != ((tLList57907754e_TNil @ X0 @ X1 @ X3))) => ~ ! [X4 : X1,X5 : tLList446370796tllist @ X1 @ X0] : (X2 != ((tLList1992840728_TCons @ X1 @ X0 @ X4 @ X5))))),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_tllist_Oexhaust)).
% 16.11/2.54 thf(f27,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > tLList446370796tllist @ X2 @ X1 > X0),X5 : X2,X6 : tLList446370796tllist @ X2 @ X1] : (((tLList200813139tllist @ X1 @ X0 @ X2 @ X3 @ X4 @ (tLList1992840728_TCons @ X2 @ X1 @ X5 @ X6))) = ((X4 @ X5 @ X6)))),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_tllist_Osimps_I6_J)).
% 16.11/2.54 thf(f54,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : (product_unit > X0)] : ((^[X2 : product_unit] : ((X1 @ product_Unity))) = X1)),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_unit__abs__eta__conv)).
% 16.11/2.54 thf(f90,axiom,(
% 16.11/2.54 ! [X0 : $tType,X1 : X0] : (((product_rec_unit @ X0 @ X1 @ product_Unity)) = X1)),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_old_Ounit_Orec)).
% 16.11/2.54 thf(f291,conjecture,(
% 16.11/2.54 (((tLList1881248882tdropn @ a @ b @ (suc @ n) @ xs)) = ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[X0 : a] : ((tLList1881248882tdropn @ a @ b @ n))) @ xs)))),
% 16.11/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 16.11/2.54 thf(f292,negated_conjecture,(
% 16.11/2.54 ~ (((tLList1881248882tdropn @ a @ b @ (suc @ n) @ xs)) = ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[X0 : a] : ((tLList1881248882tdropn @ a @ b @ n))) @ xs)))),
% 16.11/2.54 inference(negated_conjecture,[status(cth)],[f291])).
% 16.11/2.54 thf(f348,plain,(
% 16.11/2.54 ! [X0 : $tType,X1 : (product_unit > X0)] : ((^[Y0 : product_unit]: (X1 @ product_Unity)) = X1)),
% 16.11/2.54 inference(fool_elimination,[],[f54])).
% 16.11/2.54 thf(f712,plain,(
% 16.11/2.54 ~ (((tLList1881248882tdropn @ a @ b @ (suc @ n) @ xs)) = ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[X0 : a] : ((tLList1881248882tdropn @ a @ b @ n))) @ xs)))),
% 16.11/2.54 inference(rectify,[],[f292])).
% 16.11/2.54 thf(f713,plain,(
% 16.11/2.54 ~ (((tLList1881248882tdropn @ a @ b @ (suc @ n) @ xs)) = ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[Y0 : a]: (tLList1881248882tdropn @ a @ b @ n)) @ xs)))),
% 16.11/2.54 inference(fool_elimination,[],[f712])).
% 16.11/2.54 thf(f746,plain,(
% 16.11/2.54 (((tLList1881248882tdropn @ a @ b @ (suc @ n) @ xs)) != ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[Y0 : a]: (tLList1881248882tdropn @ a @ b @ n)) @ xs)))),
% 16.11/2.54 inference(flattening,[],[f713])).
% 16.11/2.54 thf(f750,plain,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : tLList446370796tllist @ X1 @ X0] : (? [X4 : X1,X5 : tLList446370796tllist @ X1 @ X0] : (((tLList1992840728_TCons @ X1 @ X0 @ X4 @ X5)) = X2) | ? [X3 : X0] : (((tLList57907754e_TNil @ X0 @ X1 @ X3)) = X2))),
% 16.11/2.54 inference(ennf_transformation,[],[f24])).
% 16.11/2.54 thf(f905,plain,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : tLList446370796tllist @ X1 @ X0] : (? [X3 : X1,X4 : tLList446370796tllist @ X1 @ X0] : (((tLList1992840728_TCons @ X1 @ X0 @ X3 @ X4)) = X2) | ? [X5 : X0] : (((tLList57907754e_TNil @ X0 @ X1 @ X5)) = X2))),
% 16.11/2.54 inference(rectify,[],[f750])).
% 16.11/2.54 thf(f906,plain,(
% 16.11/2.54 ! [X0 : $tType,X1 : $tType,X2 : tLList446370796tllist @ X1 @ X0] : ((((tLList1992840728_TCons @ X1 @ X0 @ (sK1 @ X0 @ X1 @ X2) @ (sK2 @ X0 @ X1 @ X2))) = X2) | (((tLList57907754e_TNil @ X0 @ X1 @ (sK3 @ X0 @ X1 @ X2))) = X2))),
% 16.11/2.54 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP]),skolemize(X5,sK3 @ X0 @ X1 @ X2),skolemize(X5,sK3 @ X0 @ X1 @ X2),skolemize(X5,sK3 @ X0 @ X1 @ X2)],[f905])).
% 16.11/2.54 thf(f958,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X0 : $tType,X2 : nat,X3 : X1] : ((((tLList57907754e_TNil @ X1 @ X0 @ X3)) = ((tLList1881248882tdropn @ X0 @ X1 @ X2 @ (tLList57907754e_TNil @ X1 @ X0 @ X3))))) )),
% 16.11/2.54 inference(cnf_transformation,[],[f2])).
% 16.11/2.54 thf(f959,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X2 > X1),X4 : (X0 > tLList446370796tllist @ X0 @ X2 > X1),X5 : X2] : ((((tLList200813139tllist @ X2 @ X1 @ X0 @ X3 @ X4 @ (tLList57907754e_TNil @ X2 @ X0 @ X5))) = ((X3 @ X5)))) )),
% 16.11/2.54 inference(cnf_transformation,[],[f3])).
% 16.11/2.54 thf(f968,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X0 : $tType,X2 : nat,X3 : X1,X4 : tLList446370796tllist @ X1 @ X0] : ((((tLList1881248882tdropn @ X1 @ X0 @ (suc @ X2) @ (tLList1992840728_TCons @ X1 @ X0 @ X3 @ X4))) = ((tLList1881248882tdropn @ X1 @ X0 @ X2 @ X4)))) )),
% 16.11/2.54 inference(cnf_transformation,[],[f12])).
% 16.11/2.54 thf(f982,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X0 : $tType,X2 : tLList446370796tllist @ X1 @ X0] : ((((tLList1992840728_TCons @ X1 @ X0 @ (sK1 @ X0 @ X1 @ X2) @ (sK2 @ X0 @ X1 @ X2))) = X2) | (((tLList57907754e_TNil @ X0 @ X1 @ (sK3 @ X0 @ X1 @ X2))) = X2)) )),
% 16.11/2.54 inference(cnf_transformation,[],[f906])).
% 16.11/2.54 thf(f985,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X1 > X0),X6 : tLList446370796tllist @ X2 @ X1,X4 : (X2 > tLList446370796tllist @ X2 @ X1 > X0),X5 : X2] : ((((tLList200813139tllist @ X1 @ X0 @ X2 @ X3 @ X4 @ (tLList1992840728_TCons @ X2 @ X1 @ X5 @ X6))) = ((X4 @ X5 @ X6)))) )),
% 16.11/2.54 inference(cnf_transformation,[],[f27])).
% 16.11/2.54 thf(f1017,plain,(
% 16.11/2.54 ( ! [X0 : $tType,X1 : (product_unit > X0)] : (((^[Y0 : product_unit]: (X1 @ product_Unity)) = X1)) )),
% 16.11/2.54 inference(cnf_transformation,[],[f348])).
% 16.11/2.54 thf(f1069,plain,(
% 16.11/2.54 ( ! [X0 : $tType,X1 : X0] : ((((product_rec_unit @ X0 @ X1 @ product_Unity)) = X1)) )),
% 16.11/2.54 inference(cnf_transformation,[],[f90])).
% 16.11/2.54 thf(f1302,plain,(
% 16.11/2.54 (((tLList1881248882tdropn @ a @ b @ (suc @ n) @ xs)) != ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[Y0 : a]: (tLList1881248882tdropn @ a @ b @ n)) @ xs)))),
% 16.11/2.54 inference(cnf_transformation,[],[f746])).
% 16.11/2.54 thf(f1767,plain,(
% 16.11/2.54 ( ! [X0 : $tType,X2 : product_unit,X1 : (product_unit > X0)] : (((((^[Y0 : product_unit]: (X1 @ product_Unity)) @ X2)) = ((X1 @ X2)))) )),
% 16.11/2.54 inference(argument_congruence,[],[f1017])).
% 16.11/2.54 thf(f1769,plain,(
% 16.11/2.54 ( ! [X0 : $tType,X2 : product_unit,X1 : (product_unit > X0)] : ((((X1 @ product_Unity)) = ((X1 @ X2)))) )),
% 16.11/2.54 inference(beta-eta_normalization,[],[f1767])).
% 16.11/2.54 thf(f2526,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X2 : (product_unit > X1),X3 : product_unit,X0 : X1] : (((((^[Y0 : product_unit]: (product_rec_unit @ X1 @ (X2 @ Y0) @ ((^[Y1 : product_unit]: (product_Unity)) @ Y0))) @ product_Unity)) = X0) | (((X2 @ X3)) != X0)) )),
% 16.11/2.54 inference(constrained_superposition,[],[f1769,f1069])).
% 16.11/2.54 thf(f2535,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X2 : (product_unit > X1),X3 : product_unit,X0 : X1] : ((((product_rec_unit @ X1 @ (X2 @ product_Unity) @ product_Unity)) = X0) | (((X2 @ X3)) != X0)) )),
% 16.11/2.54 inference(beta-eta_normalization,[],[f2526])).
% 16.11/2.54 thf(f2553,plain,(
% 16.11/2.54 ( ! [X1 : $tType,X2 : (product_unit > X1),X3 : product_unit,X0 : X1] : ((((X2 @ product_Unity)) = X0) | (((X2 @ X3)) != X0)) )),
% 16.11/2.54 inference(forward_demodulation,[],[f2535,f1069])).
% 16.11/2.54 thf(f8641,plain,(
% 16.11/2.54 ( ! [X0 : tLList446370796tllist @ a @ b,X1 : product_unit] : ((((tLList1881248882tdropn @ a @ b @ (suc @ n) @ X0)) != ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[Y0 : a]: (tLList1881248882tdropn @ a @ b @ n)) @ X0))) | ((((^[Y0 : product_unit]: (xs)) @ X1)) != X0)) )),
% 16.11/2.54 inference(constrained_superposition,[],[f1302,f2553])).
% 16.11/2.54 thf(f9730,plain,(
% 16.11/2.54 ( ! [X0 : tLList446370796tllist @ a @ b] : ((((tLList1881248882tdropn @ a @ b @ (suc @ n) @ X0)) != ((tLList200813139tllist @ b @ tLList446370796tllist @ a @ b @ a @ tLList57907754e_TNil @ b @ a @ (^[Y0 : a]: (tLList1881248882tdropn @ a @ b @ n)) @ X0))) | (xs != X0)) )),
% 16.11/2.54 inference(beta-eta_normalization,[],[f8641])).
% 16.11/2.54 thf(f23058,plain,(
% 16.11/2.54 ( ! [X0 : b] : ((((tLList57907754e_TNil @ b @ a @ X0)) != ((tLList1881248882tdropn @ a @ b @ (suc @ n) @ (tLList57907754e_TNil @ b @ a @ X0)))) | (xs != ((tLList57907754e_TNil @ b @ a @ X0)))) )),
% 16.11/2.54 inference(constrained_superposition,[],[f9730,f959])).
% 16.11/2.54 thf(f23148,plain,(
% 16.11/2.54 ( ! [X0 : b] : ((xs != ((tLList57907754e_TNil @ b @ a @ X0)))) )),
% 16.11/2.54 inference(forward_subsumption_resolution,[],[f23058,f958])).
% 16.11/2.54 thf(f30737,plain,(
% 16.11/2.54 ( ! [X0 : a,X1 : tLList446370796tllist @ a @ b] : (((((^[Y0 : a]: (tLList1881248882tdropn @ a @ b @ n)) @ X0 @ X1)) != ((tLList1881248882tdropn @ a @ b @ (suc @ n) @ (tLList1992840728_TCons @ a @ b @ X0 @ X1)))) | (xs != ((tLList1992840728_TCons @ a @ b @ X0 @ X1)))) )),
% 16.11/2.54 inference(constrained_superposition,[],[f9730,f985])).
% 16.11/2.54 thf(f30766,plain,(
% 16.11/2.54 ( ! [X0 : a,X1 : tLList446370796tllist @ a @ b] : ((((tLList1881248882tdropn @ a @ b @ (suc @ n) @ (tLList1992840728_TCons @ a @ b @ X0 @ X1))) != ((tLList1881248882tdropn @ a @ b @ n @ X1))) | (xs != ((tLList1992840728_TCons @ a @ b @ X0 @ X1)))) )),
% 16.11/2.54 inference(beta-eta_normalization,[],[f30737])).
% 16.11/2.54 thf(f30848,plain,(
% 16.11/2.54 ( ! [X0 : a,X1 : tLList446370796tllist @ a @ b] : ((xs != ((tLList1992840728_TCons @ a @ b @ X0 @ X1)))) )),
% 16.11/2.54 inference(forward_subsumption_resolution,[],[f30766,f968])).
% 16.11/2.54 thf(f30918,definition,(
% 16.11/2.54 spl69_755 <=> ! [X0 : a,X1 : tLList446370796tllist @ a @ b] : (xs != ((tLList1992840728_TCons @ a @ b @ X0 @ X1)))),
% 16.11/2.54 introduced(definition,[new_symbols(definition,[spl69_755])],[avatar_definition])).
% 16.11/2.54 thf(f30919,plain,(
% 16.11/2.54 ( ! [X0 : a,X1 : tLList446370796tllist @ a @ b] : ((xs != ((tLList1992840728_TCons @ a @ b @ X0 @ X1)))) ) | ~spl69_755),
% 16.11/2.54 inference(avatar_component_clause,[],[f30918])).
% 16.11/2.54 thf(f30922,plain,(
% 16.11/2.54 spl69_755),
% 16.11/2.54 inference(avatar_split_clause,[],[f30848,f30918])).
% 16.11/2.54 thf(f30944,plain,(
% 16.11/2.54 ( ! [X0 : tLList446370796tllist @ a @ b] : ((xs != X0) | (((tLList57907754e_TNil @ b @ a @ (sK3 @ b @ a @ X0))) = X0)) ) | ~spl69_755),
% 16.11/2.54 inference(constrained_superposition,[],[f30919,f982])).
% 16.11/2.54 thf(f31330,plain,(
% 16.11/2.54 (xs = ((tLList57907754e_TNil @ b @ a @ (sK3 @ b @ a @ xs)))) | ~spl69_755),
% 16.11/2.54 inference(equality_resolution,[],[f30944])).
% 16.11/2.54 thf(f31333,plain,(
% 16.11/2.54 $false | ~spl69_755),
% 16.11/2.54 inference(forward_subsumption_resolution,[],[f31330,f23148])).
% 16.11/2.54 thf(f31334,plain,(
% 16.11/2.54 ~spl69_755),
% 16.11/2.54 inference(avatar_contradiction_clause,[],[f31333])).
% 16.11/2.54 cnf(s1719, plain, spl69_755, inference(sat_conversion,[],[f30922])).
% 16.11/2.54 cnf(s1727, plain, ~spl69_755, inference(sat_conversion,[],[f31334])).
% 16.11/2.54 cnf(s1728, plain, $false, inference(rat,[],[s1719,s1727])).
% 16.11/2.54 thf(f31335,plain,(
% 16.11/2.54 $false),
% 16.11/2.54 inference(avatar_sat_refutation,[],[s1728])).
% 16.11/2.54 % SZS output end Proof for theBenchmark
% 16.11/2.54 % (3527933)------------------------------
% 16.11/2.54 % (3527933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.54 % (3527933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.54 % (3527933)CaDiCaL version: 2.1.3
% 16.11/2.54 % (3527933)Termination reason: Refutation
% 16.11/2.54 % (3527933)Time elapsed: 1.497 s
% 16.11/2.54 % (3527933)Peak memory usage: 29 MB
% 16.11/2.54 % (3527933)Instructions burned: 3133 (million)
% 16.11/2.54 % (3527874)Success in time 2.324 s
% 16.11/2.54 % Vampire exiting
%------------------------------------------------------------------------------