%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT183^1 : 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 : n026.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 07:49:00 AM UTC 2026
% Result : Theorem 18.13s 2.95s
% Output : Refutation 18.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT183^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n026.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 18:09:28 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 5.46/1.10 % (961946)Will run a generic schedule for satisfiability detection.
% 5.46/1.10 % (961963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1081604875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.46/1.10 % (961958)% WARNING: option uhcvi not known.
% 5.46/1.10 % (961957)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3842328236_2999 on theBenchmark for (2999ds/0Mi)
% 5.46/1.10 % (961959)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2119069990:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.46/1.10 % (961960)dis+10_1_sil=32000:sp=arity:random_seed=4275689751:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.46/1.10 % (961958)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1971931605:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.46/1.10 % (961962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=117031271:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.46/1.10 % (961964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3474040519:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.46/1.10 % (961958)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.46/1.10 % (961962)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.46/1.10 % (961963)Instruction limit reached!
% 5.46/1.10 % (961963)------------------------------
% 5.46/1.10 % (961963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.10 % (961963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.10 % (961963)CaDiCaL version: 2.1.3
% 5.46/1.10 % (961963)Termination reason: Instruction limit
% 5.46/1.10 % (961963)Termination phase: Saturation
% 5.46/1.10 % (961963)Time elapsed: 0.033 s
% 5.46/1.10 % (961963)Peak memory usage: 13 MB
% 5.46/1.10 % (961963)Instructions burned: 134 (million)
% 5.46/1.10 % Exception at run slice level
% 5.46/1.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.46/1.10 % (961984)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4118702025:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.46/1.10 % (961958)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.46/1.10 % (961960)Instruction limit reached!
% 5.46/1.10 % (961960)------------------------------
% 5.46/1.10 % (961960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.10 % (961960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.10 % (961960)CaDiCaL version: 2.1.3
% 5.46/1.10 % (961960)Termination reason: Instruction limit
% 5.46/1.10 % (961960)Termination phase: Saturation
% 5.46/1.10 % (961960)Time elapsed: 0.045 s
% 5.46/1.10 % (961960)Peak memory usage: 12 MB
% 5.46/1.10 % (961960)Instructions burned: 105 (million)
% 5.46/1.10 % (961962)Instruction limit reached!
% 5.46/1.10 % (961962)------------------------------
% 5.46/1.10 % (961962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.10 % (961962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.10 % (961962)CaDiCaL version: 2.1.3
% 5.46/1.10 % (961962)Termination reason: Instruction limit
% 5.46/1.10 % (961962)Termination phase: Saturation
% 5.46/1.10 % (961962)Time elapsed: 0.052 s
% 5.46/1.10 % (961962)Peak memory usage: 13 MB
% 5.46/1.10 % (961962)Instructions burned: 118 (million)
% 5.46/1.10 % (961990)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4082182795:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.46/1.10 % Exception at run slice level
% 5.46/1.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.46/1.10 % (961992)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=4089303022:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.46/1.10 % (961998)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=473992005:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.46/1.10 % (961996)ott-21_1_sil=16000:fs=off:random_seed=1917133960:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.46/1.10 % (961964)Instruction limit reached!
% 5.46/1.10 % (961964)------------------------------
% 5.46/1.10 % (961964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (961964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (961964)CaDiCaL version: 2.1.3
% 18.13/2.95 % (961964)Termination reason: Instruction limit
% 18.13/2.95 % (961964)Termination phase: Saturation
% 18.13/2.95 % (961964)Time elapsed: 0.073 s
% 18.13/2.95 % (961964)Peak memory usage: 13 MB
% 18.13/2.95 % (961964)Instructions burned: 161 (million)
% 18.13/2.95 % (961992)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.13/2.95 % (962005)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2088661021:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 18.13/2.95 % (961992)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 18.13/2.95 % (961990)Instruction limit reached!
% 18.13/2.95 % (961990)------------------------------
% 18.13/2.95 % (961990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (961990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (961990)CaDiCaL version: 2.1.3
% 18.13/2.95 % (961990)Termination reason: Instruction limit
% 18.13/2.95 % (961990)Termination phase: Saturation
% 18.13/2.95 % (961990)Time elapsed: 0.058 s
% 18.13/2.95 % (961990)Peak memory usage: 13 MB
% 18.13/2.95 % (961990)Instructions burned: 131 (million)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962020)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3648881226:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 18.13/2.95 % (962022)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3212468457:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 18.13/2.95 % (961996)Instruction limit reached!
% 18.13/2.95 % (961996)------------------------------
% 18.13/2.95 % (961996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (961996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (961996)CaDiCaL version: 2.1.3
% 18.13/2.95 % (961996)Termination reason: Instruction limit
% 18.13/2.95 % (961996)Termination phase: Saturation
% 18.13/2.95 % (961996)Time elapsed: 0.080 s
% 18.13/2.95 % (961996)Peak memory usage: 14 MB
% 18.13/2.95 % (961996)Instructions burned: 181 (million)
% 18.13/2.95 % (962035)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=2834526520: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)
% 18.13/2.95 % (962035)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (961998)Instruction limit reached!
% 18.13/2.95 % (961998)------------------------------
% 18.13/2.95 % (961998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (961998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (961998)CaDiCaL version: 2.1.3
% 18.13/2.95 % (961998)Termination reason: Instruction limit
% 18.13/2.95 % (961998)Termination phase: Saturation
% 18.13/2.95 % (961998)Time elapsed: 0.133 s
% 18.13/2.95 % (961998)Peak memory usage: 16 MB
% 18.13/2.95 % (961998)Instructions burned: 480 (million)
% 18.13/2.95 % (962063)fmb+10_1_sil=64000:random_seed=2476226588:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 18.13/2.95 % (962060)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=579703164:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 18.13/2.95 % (962063)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 18.13/2.95 % (962060)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962072)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=696232384:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962074)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4255295658:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962076)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3570953210:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 18.13/2.95 % (962076)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.13/2.95 % (961992)Instruction limit reached!
% 18.13/2.95 % (961992)------------------------------
% 18.13/2.95 % (961992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (961992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (961992)CaDiCaL version: 2.1.3
% 18.13/2.95 % (961992)Termination reason: Instruction limit
% 18.13/2.95 % (961992)Termination phase: Saturation
% 18.13/2.95 % (961992)Time elapsed: 0.321 s
% 18.13/2.95 % (961992)Peak memory usage: 15 MB
% 18.13/2.95 % (961992)Instructions burned: 686 (million)
% 18.13/2.95 % (962078)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=878467138:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 18.13/2.95 % (962078)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 18.13/2.95 % (962078)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 18.13/2.95 % (962035)Instruction limit reached!
% 18.13/2.95 % (962035)------------------------------
% 18.13/2.95 % (962035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962035)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962035)Termination reason: Instruction limit
% 18.13/2.95 % (962035)Termination phase: Saturation
% 18.13/2.95 % (962035)Time elapsed: 0.336 s
% 18.13/2.95 % (962035)Peak memory usage: 18 MB
% 18.13/2.95 % (962035)Instructions burned: 692 (million)
% 18.13/2.95 % (962080)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2210926120:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962082)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2191643307:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962084)ott-2_1_sil=16000:newcnf=on:random_seed=2806576847:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 18.13/2.95 % (962060)Instruction limit reached!
% 18.13/2.95 % (962060)------------------------------
% 18.13/2.95 % (962060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962060)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962060)Termination reason: Instruction limit
% 18.13/2.95 % (962060)Termination phase: Saturation
% 18.13/2.95 % (962060)Time elapsed: 0.436 s
% 18.13/2.95 % (962060)Peak memory usage: 18 MB
% 18.13/2.95 % (962060)Instructions burned: 880 (million)
% 18.13/2.95 % (962084)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.13/2.95 % (962086)ott+10_1_sil=32000:tgt=ground:random_seed=3292379194:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 18.13/2.95 % (962020)Instruction limit reached!
% 18.13/2.95 % (962020)------------------------------
% 18.13/2.95 % (962020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962020)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962020)Termination reason: Instruction limit
% 18.13/2.95 % (962020)Termination phase: Saturation
% 18.13/2.95 % (962020)Time elapsed: 0.591 s
% 18.13/2.95 % (962020)Peak memory usage: 20 MB
% 18.13/2.95 % (962020)Instructions burned: 1179 (million)
% 18.13/2.95 % (962088)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3005522287:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962090)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2407214579:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 18.13/2.95 % (962090)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 18.13/2.95 % (962084)Instruction limit reached!
% 18.13/2.95 % (962084)------------------------------
% 18.13/2.95 % (962084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962084)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962084)Termination reason: Instruction limit
% 18.13/2.95 % (962084)Termination phase: Saturation
% 18.13/2.95 % (962084)Time elapsed: 0.402 s
% 18.13/2.95 % (962084)Peak memory usage: 16 MB
% 18.13/2.95 % (962084)Instructions burned: 872 (million)
% 18.13/2.95 % (962092)dis+21_1_sil=32000:sas=cadical:random_seed=281088235:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 18.13/2.95 % (962078)Instruction limit reached!
% 18.13/2.95 % (962078)------------------------------
% 18.13/2.95 % (962078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962078)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962078)Termination reason: Instruction limit
% 18.13/2.95 % (962078)Termination phase: Saturation
% 18.13/2.95 % (962078)Time elapsed: 0.703 s
% 18.13/2.95 % (962078)Peak memory usage: 19 MB
% 18.13/2.95 % (962078)Instructions burned: 1474 (million)
% 18.13/2.95 % (962094)ott+11_1_sil=16000:gs=on:random_seed=2621189836:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 18.13/2.95 % (962094)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 18.13/2.95 % (962076)Instruction limit reached!
% 18.13/2.95 % (962076)------------------------------
% 18.13/2.95 % (962076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962076)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962076)Termination reason: Instruction limit
% 18.13/2.95 % (962076)Termination phase: Saturation
% 18.13/2.95 % (962076)Time elapsed: 1.300 s
% 18.13/2.95 % (962076)Peak memory usage: 30 MB
% 18.13/2.95 % (962076)Instructions burned: 5132 (million)
% 18.13/2.95 % (962096)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2184152310:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 18.13/2.95 % Exception at run slice level
% 18.13/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.13/2.95 % (962098)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3695271800:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 18.13/2.95 % (962094)Instruction limit reached!
% 18.13/2.95 % (962094)------------------------------
% 18.13/2.95 % (962094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962094)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962094)Termination reason: Instruction limit
% 18.13/2.95 % (962094)Termination phase: Saturation
% 18.13/2.95 % (962094)Time elapsed: 1.021 s
% 18.13/2.95 % (962094)Peak memory usage: 19 MB
% 18.13/2.95 % (962094)Instructions burned: 2252 (million)
% 18.13/2.95 % (962100)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=982876790:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 18.13/2.95 % (962090)Instruction limit reached!
% 18.13/2.95 % (962090)------------------------------
% 18.13/2.95 % (962090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.95 % (962090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.95 % (962090)CaDiCaL version: 2.1.3
% 18.13/2.95 % (962090)Termination reason: Instruction limit
% 18.13/2.95 % (962090)Termination phase: Saturation
% 18.13/2.95 % (962090)Time elapsed: 1.646 s
% 18.13/2.95 % (962090)Peak memory usage: 28 MB
% 18.13/2.95 % (962090)Instructions burned: 3513 (million)
% 18.13/2.95 % (962102)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=135437746:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 18.13/2.95 % (961958) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-961946-961958"...
% 18.13/2.95 % (961958)...printing done.
% 18.13/2.95 % (961958)Refutation found. Thanks to Tanya!
% 18.13/2.95 % SZS status Theorem for theBenchmark
% 18.13/2.95 % SZS output start Proof for theBenchmark
% 18.13/2.95 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 18.13/2.95 thf(type_def_6, type, set: $tType > $tType).
% 18.13/2.95 thf(type_def_7, type, nat: $tType).
% 18.13/2.95 thf(type_def_8, type, itself: $tType > $tType).
% 18.13/2.95 thf(type_def_9, type, a: $tType).
% 18.13/2.95 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 18.13/2.95 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_3, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_5, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_6, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_7, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_8, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_9, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_10, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_11, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_12, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_13, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_14, type, bounded_lattice_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_15, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 18.13/2.95 thf(func_def_16, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_17, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_18, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_19, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_20, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_21, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 18.13/2.95 thf(func_def_22, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_23, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_24, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_25, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 18.13/2.95 thf(func_def_26, type, undefined: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_27, type, lList2435255213lllsts: !>[X0: $tType]:((set @ X0 > set @ coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_28, type, lList21511617539llstsp: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_29, type, lList2236698231inlsts: !>[X0: $tType]:((set @ X0 > set @ coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_30, type, lList21916056377ts_rec: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coinductive_llist @ X1 > X0 > X0) > coinductive_llist @ X1 > X0))).
% 18.13/2.95 thf(func_def_31, type, lList2860480441nlstsp: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > $o))).
% 18.13/2.95 thf(func_def_32, type, lList22096119349pslsts: !>[X0: $tType]:((set @ X0 > set @ coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_33, type, lList21612149805nflsts: !>[X0: $tType]:((set @ X0 > set @ coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_34, type, lList2370560421utlast: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_35, type, lList2508575361_ldrop: !>[X0: $tType]:((coinductive_llist @ X0 > nat > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_36, type, lList2170638824_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_37, type, lList21232602520length: !>[X0: $tType]:((coinductive_llist @ X0 > nat))).
% 18.13/2.95 thf(func_def_38, type, lList2281150353e_lrev: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_39, type, lList22119844313_ltake: !>[X0: $tType]:((coinductive_llist @ X0 > nat > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_40, type, lList21148268032oslsts: !>[X0: $tType]:((set @ X0 > set @ coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_41, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 18.13/2.95 thf(func_def_42, type, suc: (nat > nat)).
% 18.13/2.95 thf(func_def_43, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 18.13/2.95 thf(func_def_44, type, top_top: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_45, type, type2: !>[X0: $tType]:(itself @ X0)).
% 18.13/2.95 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 18.13/2.95 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 18.13/2.95 thf(func_def_48, type, r: coinductive_llist @ a).
% 18.13/2.95 thf(func_def_52, type, vOR: ($o > $o > $o)).
% 18.13/2.95 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 18.13/2.95 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 18.13/2.95 thf(func_def_55, type, vNOT: ($o > $o)).
% 18.13/2.95 thf(func_def_56, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 18.13/2.95 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_59, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 18.13/2.95 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_62, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 18.13/2.95 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 18.13/2.95 thf(func_def_64, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 18.13/2.95 thf(func_def_65, type, sK1: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_66, type, sK2: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_67, type, sK3: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_68, type, sK4: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_69, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_70, type, sK6: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_71, type, sK7: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_72, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_73, type, sK9: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_74, type, sK10: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_75, type, sK11: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 18.13/2.95 thf(func_def_76, type, sK12: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_77, type, sK13: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_78, type, sK14: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_79, type, sK15: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_80, type, sK16: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_81, type, sK17: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_82, type, sK18: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_83, type, sK19: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_84, type, sK20: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_85, type, sK21: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_86, type, sK22: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_87, type, sK23: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_88, type, sK24: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_89, type, sK25: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_90, type, sK26: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_91, type, sK27: !>[X0: $tType]:(((X0 > $o) > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_92, type, sK28: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > (X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_93, type, sK29: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_94, type, sK30: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_95, type, sK31: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_96, type, sK32: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_97, type, sK33: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_98, type, sK34: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_99, type, sK35: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_100, type, sK36: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_101, type, sK37: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_102, type, sK38: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_103, type, sK39: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_104, type, sK40: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_105, type, sK41: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_106, type, sK42: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_107, type, sK43: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_108, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 18.13/2.95 thf(func_def_109, type, sK45: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_110, type, sK46: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_111, type, sK47: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > set @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_112, type, sK48: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_113, type, sK49: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_114, type, sK50: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_115, type, sK51: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_116, type, sK52: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_117, type, sK53: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_118, type, sK54: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_119, type, sK55: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_120, type, sK56: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_121, type, sK57: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_122, type, sK58: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_123, type, sK59: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_124, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 18.13/2.95 thf(func_def_125, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 18.13/2.95 thf(func_def_126, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 18.13/2.95 thf(func_def_127, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 18.13/2.95 thf(func_def_128, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 18.13/2.95 thf(func_def_129, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 18.13/2.95 thf(func_def_130, type, sK66: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 18.13/2.95 thf(func_def_131, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 18.13/2.95 thf(func_def_132, type, sK68: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_133, type, sK69: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_134, type, sK70: !>[X0: $tType]:((X0 > X0 > X0))).
% 18.13/2.95 thf(func_def_135, type, sK71: !>[X0: $tType]:(((X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_136, type, sK72: !>[X0: $tType]:((X0 > X0))).
% 18.13/2.95 thf(func_def_137, type, sK73: !>[X0: $tType]:((set @ X0 > X0))).
% 18.13/2.95 thf(func_def_138, type, sK74: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(func_def_139, type, sK75: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_140, type, sK76: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_141, type, sK77: !>[X0: $tType]:(((nat > X0) > nat))).
% 18.13/2.95 thf(func_def_142, type, sK78: !>[X0: $tType]:(((nat > X0) > nat))).
% 18.13/2.95 thf(func_def_143, type, sK79: !>[X0: $tType]:((set @ X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_144, type, sK80: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_145, type, sK81: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_146, type, sK82: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_147, type, sK83: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_148, type, sK84: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_149, type, sK85: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_150, type, sK86: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_151, type, sK87: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_152, type, sK88: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 18.13/2.95 thf(func_def_153, type, sK89: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_154, type, sK90: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_155, type, sK91: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_156, type, sK92: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_157, type, sK93: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_158, type, sK94: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0 > X0))).
% 18.13/2.95 thf(func_def_159, type, sK95: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_160, type, sK96: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_161, type, sK97: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_163, type, sK99: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 18.13/2.95 thf(func_def_164, type, sK100: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 18.13/2.95 thf(func_def_165, type, db4: !>[X0: $tType]:(X0)).
% 18.13/2.95 thf(f1,axiom,(
% 18.13/2.95 ! [X0 : $tType] : (((lList2370560421utlast @ X0 @ coinductive_LNil @ X0)) = coinductive_LNil @ X0)),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_lbutlast__LNil)).
% 18.13/2.95 thf(f2,axiom,(
% 18.13/2.95 ! [X0 : $tType,X1 : X0,X2 : coinductive_llist @ X0] : (ord_less @ coinductive_llist @ X0 @ coinductive_LNil @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_LNil__less__LCons)).
% 18.13/2.95 thf(f13,axiom,(
% 18.13/2.95 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((X1 != coinductive_LNil @ X0) => ~ ! [X2 : X0,X3 : coinductive_llist @ X0] : (X1 != ((coinductive_LCons @ X0 @ X2 @ X3))))),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_llistE)).
% 18.13/2.95 thf(f68,axiom,(
% 18.13/2.95 ! [X0 : $tType,X1 : (coinductive_llist @ X0 > $o),X2 : coinductive_llist @ X0] : (! [X3 : coinductive_llist @ X0] : (! [X4 : coinductive_llist @ X0] : ((coindu1478340336prefix @ X0 @ X4 @ X3) => (X1 @ X4)) => (X1 @ X3)) => (X1 @ X2))),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_llist__less__induct)).
% 18.13/2.95 thf(f127,axiom,(
% 18.13/2.95 ! [X0 : $tType] : ((preorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0,X3 : X0] : ((ord_less @ X0 @ X1 @ X2) => ((ord_less @ X0 @ X2 @ X3) => (ord_less @ X0 @ X1 @ X3))))),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_less__trans)).
% 18.13/2.95 thf(f140,axiom,(
% 18.13/2.95 ! [X0 : $tType] : ((order @ X0 @ type2 @ X0) => ! [X1 : X0] : ~(ord_less @ X0 @ X1 @ X1))),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_dual__order_Oirrefl)).
% 18.13/2.95 thf(f283,axiom,(
% 18.13/2.95 ! [X0 : $tType] : (preorder @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Coinductive__List_Ollist___Orderings_Opreorder_19)).
% 18.13/2.95 thf(f284,axiom,(
% 18.13/2.95 ! [X0 : $tType] : (order @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Coinductive__List_Ollist___Orderings_Oorder_20)).
% 18.13/2.95 thf(f286,conjecture,(
% 18.13/2.95 ~(ord_less @ coinductive_llist @ a @ r @ coinductive_LNil @ a)),
% 18.13/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 18.13/2.95 thf(f287,negated_conjecture,(
% 18.13/2.95 ~ ~(ord_less @ coinductive_llist @ a @ r @ coinductive_LNil @ a)),
% 18.13/2.95 inference(negated_conjecture,[status(cth)],[f286])).
% 18.13/2.95 thf(f288,plain,(
% 18.13/2.95 ! [X0 : $tType,X1 : X0,X2 : coinductive_llist @ X0] : (ord_less @ coinductive_llist @ X0 @ coinductive_LNil @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))),
% 18.13/2.95 inference(rectify,[],[f2])).
% 18.13/2.95 thf(f289,plain,(
% 18.13/2.95 ! [X0 : $tType,X1 : X0,X2 : coinductive_llist @ X0] : (((ord_less @ coinductive_llist @ X0 @ coinductive_LNil @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))) = $true)),
% 18.13/2.95 inference(fool_elimination,[],[f288])).
% 18.13/2.95 thf(f394,plain,(
% 18.13/2.95 ! [X0 : $tType,X1 : (coinductive_llist @ X0 > $o),X2 : coinductive_llist @ X0] : (! [X3 : coinductive_llist @ X0] : (! [X4 : coinductive_llist @ X0] : ((coindu1478340336prefix @ X0 @ X4 @ X3) => (X1 @ X4)) => (X1 @ X3)) => (X1 @ X2))),
% 18.13/2.95 inference(rectify,[],[f68])).
% 18.13/2.95 thf(f395,plain,(
% 18.13/2.95 ! [X0 : $tType,X1 : (coinductive_llist @ X0 > $o),X2 : coinductive_llist @ X0] : (! [X3 : coinductive_llist @ X0] : (! [X4 : coinductive_llist @ X0] : ((((coindu1478340336prefix @ X0 @ X4 @ X3)) = $true) => (((X1 @ X4)) = $true)) => (((X1 @ X3)) = $true)) => (((X1 @ X2)) = $true))),
% 18.13/2.95 inference(fool_elimination,[],[f394])).
% 18.13/2.95 thf(f495,plain,(
% 18.13/2.95 ! [X0 : $tType] : ((preorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0,X3 : X0] : ((ord_less @ X0 @ X1 @ X2) => ((ord_less @ X0 @ X2 @ X3) => (ord_less @ X0 @ X1 @ X3))))),
% 18.13/2.95 inference(rectify,[],[f127])).
% 18.13/2.95 thf(f496,plain,(
% 18.13/2.95 ! [X0 : $tType] : ((((preorder @ X0 @ type2 @ X0)) = $true) => ! [X1 : X0,X2 : X0,X3 : X0] : ((((ord_less @ X0 @ X1 @ X2)) = $true) => ((((ord_less @ X0 @ X2 @ X3)) = $true) => (((ord_less @ X0 @ X1 @ X3)) = $true))))),
% 18.13/2.95 inference(fool_elimination,[],[f495])).
% 18.13/2.95 thf(f521,plain,(
% 18.13/2.95 ! [X0 : $tType] : ((order @ X0 @ type2 @ X0) => ! [X1 : X0] : ~(ord_less @ X0 @ X1 @ X1))),
% 18.13/2.95 inference(rectify,[],[f140])).
% 18.13/2.95 thf(f522,plain,(
% 18.13/2.95 ! [X0 : $tType] : ((((order @ X0 @ type2 @ X0)) = $true) => ! [X1 : X0] : ~ (((ord_less @ X0 @ X1 @ X1)) = $true))),
% 18.13/2.95 inference(fool_elimination,[],[f521])).
% 18.13/2.95 thf(f758,plain,(
% 18.13/2.95 ! [X0 : $tType] : (preorder @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)),
% 18.13/2.95 inference(rectify,[],[f283])).
% 18.13/2.95 thf(f759,plain,(
% 18.13/2.95 ! [X0 : $tType] : (((preorder @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)) = $true)),
% 18.13/2.95 inference(fool_elimination,[],[f758])).
% 18.13/2.95 thf(f760,plain,(
% 18.13/2.95 ! [X0 : $tType] : (order @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)),
% 18.13/2.95 inference(rectify,[],[f284])).
% 18.13/2.95 thf(f761,plain,(
% 18.13/2.95 ! [X0 : $tType] : (((order @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)) = $true)),
% 18.13/2.95 inference(fool_elimination,[],[f760])).
% 18.13/2.95 thf(f764,plain,(
% 18.13/2.95 ~ ~(ord_less @ coinductive_llist @ a @ r @ coinductive_LNil @ a)),
% 18.13/2.95 inference(rectify,[],[f287])).
% 18.13/2.95 thf(f765,plain,(
% 18.13/2.95 ~ ~ (((ord_less @ coinductive_llist @ a @ r @ coinductive_LNil @ a)) = $true)),
% 18.13/2.95 inference(fool_elimination,[],[f764])).
% 18.13/2.95 thf(f788,plain,(
% 18.13/2.95 ! [X0 : $tType] : ((((order @ X0 @ type2 @ X0)) = $true) => ! [X1 : X0] : (((ord_less @ X0 @ X1 @ X1)) != $true))),
% 18.13/2.95 inference(flattening,[],[f522])).
% 18.13/2.95 thf(f806,plain,(
% 18.13/2.95 (((ord_less @ coinductive_llist @ a @ r @ coinductive_LNil @ a)) = $true)),
% 18.13/2.95 inference(flattening,[],[f765])).
% 18.13/2.95 thf(f819,plain,(
% 18.13/2.95 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (? [X2 : X0,X3 : coinductive_llist @ X0] : (((coinductive_LCons @ X0 @ X2 @ X3)) = X1) | (coinductive_LNil @ X0 = X1))),
% 18.13/2.95 inference(ennf_transformation,[],[f13])).
% 18.13/2.95 thf(f862,plain,(
% 18.13/2.95 ! [X0 : $tType,X1 : (coinductive_llist @ X0 > $o),X2 : coinductive_llist @ X0] : ((((X1 @ X2)) = $true) | ? [X3 : coinductive_llist @ X0] : ((((X1 @ X3)) != $true) & ! [X4 : coinductive_llist @ X0] : ((((X1 @ X4)) = $true) | (((coindu1478340336prefix @ X0 @ X4 @ X3)) != $true))))),
% 18.13/2.95 inference(ennf_transformation,[],[f395])).
% 18.13/2.95 thf(f923,plain,(
% 18.13/2.95 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less @ X0 @ X2 @ X3)) != $true)) | (((ord_less @ X0 @ X1 @ X2)) != $true)) | (((preorder @ X0 @ type2 @ X0)) != $true))),
% 18.13/2.95 inference(ennf_transformation,[],[f496])).
% 18.13/2.95 thf(f924,plain,(
% 18.13/2.95 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less @ X0 @ X2 @ X3)) != $true) | (((ord_less @ X0 @ X1 @ X2)) != $true)) | (((preorder @ X0 @ type2 @ X0)) != $true))),
% 18.13/2.95 inference(flattening,[],[f923])).
% 18.13/2.96 thf(f941,plain,(
% 18.13/2.96 ! [X0 : $tType] : (! [X1 : X0] : (((ord_less @ X0 @ X1 @ X1)) != $true) | (((order @ X0 @ type2 @ X0)) != $true))),
% 18.13/2.96 inference(ennf_transformation,[],[f788])).
% 18.13/2.96 thf(f1045,plain,(
% 18.13/2.96 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_LCons @ X0 @ (sK14 @ X0 @ X1) @ (sK15 @ X0 @ X1))) = X1) | (coinductive_LNil @ X0 = X1))),
% 18.13/2.96 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK0 @ X0 @ X1 @ X2),skolemize(X3,sK0 @ X0 @ X1 @ X2)],[f819])).
% 18.13/2.96 thf(f1065,plain,(
% 18.13/2.96 ! [X0 : $tType,X1 : (coinductive_llist @ X0 > $o),X2 : coinductive_llist @ X0] : ((((X1 @ X2)) = $true) | (($true != ((X1 @ (sK45 @ X0 @ X1)))) & ! [X4 : coinductive_llist @ X0] : ((((X1 @ X4)) = $true) | ($true != ((coindu1478340336prefix @ X0 @ X4 @ (sK45 @ X0 @ X1)))))))),
% 18.13/2.96 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK0 @ X0 @ X1 @ X2)],[f862])).
% 18.13/2.96 thf(f1092,plain,(
% 18.13/2.96 ( ! [X0 : $tType] : ((coinductive_LNil @ X0 = ((lList2370560421utlast @ X0 @ coinductive_LNil @ X0)))) )),
% 18.13/2.96 inference(cnf_transformation,[],[f1])).
% 18.13/2.96 thf(f1093,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : X0] : ((((ord_less @ coinductive_llist @ X0 @ coinductive_LNil @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))) = $true)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f289])).
% 18.13/2.96 thf(f1110,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_LCons @ X0 @ (sK14 @ X0 @ X1) @ (sK15 @ X0 @ X1))) = X1) | (coinductive_LNil @ X0 = X1)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f1045])).
% 18.13/2.96 thf(f1205,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : (coinductive_llist @ X0 > $o)] : (($true != ((X1 @ (sK45 @ X0 @ X1)))) | (((X1 @ X2)) = $true)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f1065])).
% 18.13/2.96 thf(f1284,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((((ord_less @ X0 @ X2 @ X3)) != $true) | (((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less @ X0 @ X1 @ X2)) != $true) | (((preorder @ X0 @ type2 @ X0)) != $true)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f924])).
% 18.13/2.96 thf(f1298,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X1 : X0] : ((((ord_less @ X0 @ X1 @ X1)) != $true) | (((order @ X0 @ type2 @ X0)) != $true)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f941])).
% 18.13/2.96 thf(f1458,plain,(
% 18.13/2.96 ( ! [X0 : $tType] : ((((preorder @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)) = $true)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f759])).
% 18.13/2.96 thf(f1459,plain,(
% 18.13/2.96 ( ! [X0 : $tType] : ((((order @ coinductive_llist @ X0 @ type2 @ coinductive_llist @ X0)) = $true)) )),
% 18.13/2.96 inference(cnf_transformation,[],[f761])).
% 18.13/2.96 thf(f1461,plain,(
% 18.13/2.96 (((ord_less @ coinductive_llist @ a @ r @ coinductive_LNil @ a)) = $true)),
% 18.13/2.96 inference(cnf_transformation,[],[f806])).
% 18.13/2.96 thf(f2477,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : (coinductive_llist @ X0 > coinductive_llist @ a)] : (($true != $true) | ($true = (((^[Y0 : coinductive_llist @ X0]: (ord_less @ coinductive_llist @ a @ (X1 @ Y0) @ ((^[Y1 : coinductive_llist @ X0]: (coinductive_LNil @ a)) @ Y0))) @ X2))) | (r != ((X1 @ (sK45 @ X0 @ (^[Y0 : coinductive_llist @ X0]: (ord_less @ coinductive_llist @ a @ (X1 @ Y0) @ coinductive_LNil @ a))))))) )),
% 18.13/2.96 inference(constrained_superposition,[],[f1205,f1461])).
% 18.13/2.96 thf(f2583,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : (coinductive_llist @ X0 > coinductive_llist @ a)] : (($true = (((^[Y0 : coinductive_llist @ X0]: (ord_less @ coinductive_llist @ a @ (X1 @ Y0) @ ((^[Y1 : coinductive_llist @ X0]: (coinductive_LNil @ a)) @ Y0))) @ X2))) | (r != ((X1 @ (sK45 @ X0 @ (^[Y0 : coinductive_llist @ X0]: (ord_less @ coinductive_llist @ a @ (X1 @ Y0) @ coinductive_LNil @ a))))))) )),
% 18.13/2.96 inference(trivial_inequality_removal,[],[f2477])).
% 18.13/2.96 thf(f2584,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : (coinductive_llist @ X0 > coinductive_llist @ a)] : ((r != ((X1 @ (sK45 @ X0 @ (^[Y0 : coinductive_llist @ X0]: (ord_less @ coinductive_llist @ a @ (X1 @ Y0) @ coinductive_LNil @ a)))))) | ($true = ((ord_less @ coinductive_llist @ a @ (X1 @ X2) @ coinductive_LNil @ a)))) )),
% 18.13/2.96 inference(beta-eta_normalization,[],[f2583])).
% 18.13/2.96 thf(f2781,plain,(
% 18.13/2.96 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((r != coinductive_LNil @ a) | ($true = ((ord_less @ coinductive_llist @ a @ ((^[Y0 : coinductive_llist @ X0]: (lList2370560421utlast @ a @ ((^[Y1 : coinductive_llist @ X0]: (coinductive_LNil @ a)) @ Y0))) @ X1) @ coinductive_LNil @ a)))) )),
% 18.13/2.96 inference(constrained_superposition,[],[f2584,f1092])).
% 18.13/2.96 thf(f2802,plain,(
% 18.13/2.96 (r != coinductive_LNil @ a) | ($true = ((ord_less @ coinductive_llist @ a @ (lList2370560421utlast @ a @ coinductive_LNil @ a) @ coinductive_LNil @ a)))),
% 18.13/2.96 inference(beta-eta_normalization,[],[f2781])).
% 18.13/2.96 thf(f2811,plain,(
% 18.13/2.96 ($true = ((ord_less @ coinductive_llist @ a @ coinductive_LNil @ a @ coinductive_LNil @ a))) | (r != coinductive_LNil @ a)),
% 18.13/2.96 inference(forward_demodulation,[],[f2802,f1092])).
% 18.13/2.96 thf(f2833,definition,(
% 18.13/2.96 spl98_16 <=> (r = coinductive_LNil @ a)),
% 18.13/2.96 introduced(definition,[new_symbols(definition,[spl98_16])],[avatar_definition])).
% 18.13/2.96 thf(f2835,plain,(
% 18.13/2.96 (r != coinductive_LNil @ a) | spl98_16),
% 18.13/2.96 inference(avatar_component_clause,[],[f2833])).
% 18.13/2.96 thf(f2837,definition,(
% 18.13/2.96 spl98_17 <=> ($true = ((ord_less @ coinductive_llist @ a @ coinductive_LNil @ a @ coinductive_LNil @ a)))),
% 18.13/2.96 introduced(definition,[new_symbols(definition,[spl98_17])],[avatar_definition])).
% 18.13/2.96 thf(f2838,plain,(
% 18.13/2.96 ($true != ((ord_less @ coinductive_llist @ a @ coinductive_LNil @ a @ coinductive_LNil @ a))) | spl98_17),
% 18.13/2.96 inference(avatar_component_clause,[],[f2837])).
% 18.13/2.96 thf(f2839,plain,(
% 18.13/2.96 ($true = ((ord_less @ coinductive_llist @ a @ coinductive_LNil @ a @ coinductive_LNil @ a))) | ~spl98_17),
% 18.13/2.96 inference(avatar_component_clause,[],[f2837])).
% 18.13/2.96 thf(f2846,plain,(
% 18.13/2.96 ~spl98_16 | spl98_17),
% 18.13/2.96 inference(avatar_split_clause,[],[f2811,f2837,f2833])).
% 18.13/2.96 thf(f3406,plain,(
% 18.13/2.96 ( ! [X1 : $tType,X0 : coinductive_llist @ X1] : (($true = ((ord_less @ coinductive_llist @ X1 @ coinductive_LNil @ X1 @ X0))) | (coinductive_LNil @ X1 = X0)) )),
% 18.13/2.96 inference(constrained_superposition,[],[f1093,f1110])).
% 18.13/2.96 thf(f3992,plain,(
% 18.13/2.96 ( ! [X0 : coinductive_llist @ a] : (($true != $true) | ($true = ((ord_less @ coinductive_llist @ a @ X0 @ coinductive_LNil @ a))) | ($true != ((ord_less @ coinductive_llist @ a @ X0 @ r))) | ($true != ((preorder @ coinductive_llist @ a @ type2 @ coinductive_llist @ a)))) )),
% 18.13/2.96 inference(constrained_superposition,[],[f1284,f1461])).
% 18.13/2.96 thf(f3999,plain,(
% 18.13/2.96 ( ! [X0 : coinductive_llist @ a] : (($true = ((ord_less @ coinductive_llist @ a @ X0 @ coinductive_LNil @ a))) | ($true != ((ord_less @ coinductive_llist @ a @ X0 @ r))) | ($true != ((preorder @ coinductive_llist @ a @ type2 @ coinductive_llist @ a)))) )),
% 18.13/2.96 inference(trivial_inequality_removal,[],[f3992])).
% 18.13/2.96 thf(f4003,plain,(
% 18.13/2.96 ( ! [X0 : coinductive_llist @ a] : (($true != ((ord_less @ coinductive_llist @ a @ X0 @ r))) | ($true = ((ord_less @ coinductive_llist @ a @ X0 @ coinductive_LNil @ a)))) )),
% 18.13/2.96 inference(forward_subsumption_resolution,[],[f3999,f1458])).
% 18.13/2.96 thf(f7774,plain,(
% 18.13/2.96 ($true != $true) | ($true != ((order @ coinductive_llist @ a @ type2 @ coinductive_llist @ a))) | ~spl98_17),
% 18.13/2.96 inference(constrained_superposition,[],[f1298,f2839])).
% 18.13/2.96 thf(f7828,plain,(
% 18.13/2.96 ($true != ((order @ coinductive_llist @ a @ type2 @ coinductive_llist @ a))) | ~spl98_17),
% 18.13/2.96 inference(trivial_inequality_removal,[],[f7774])).
% 18.13/2.96 thf(f7843,plain,(
% 18.13/2.96 $false | ~spl98_17),
% 18.13/2.96 inference(forward_subsumption_resolution,[],[f7828,f1459])).
% 18.13/2.96 thf(f7844,plain,(
% 18.13/2.96 ~spl98_17),
% 18.13/2.96 inference(avatar_contradiction_clause,[],[f7843])).
% 18.13/2.96 thf(f29430,plain,(
% 18.13/2.96 ($true != $true) | ($true = ((ord_less @ coinductive_llist @ a @ coinductive_LNil @ a @ coinductive_LNil @ a))) | (r = coinductive_LNil @ a)),
% 18.13/2.96 inference(constrained_superposition,[],[f4003,f3406])).
% 18.13/2.96 thf(f29517,plain,(
% 18.13/2.96 ($true = ((ord_less @ coinductive_llist @ a @ coinductive_LNil @ a @ coinductive_LNil @ a))) | (r = coinductive_LNil @ a)),
% 18.13/2.96 inference(trivial_inequality_removal,[],[f29430])).
% 18.13/2.96 thf(f29611,plain,(
% 18.13/2.96 (r = coinductive_LNil @ a) | spl98_17),
% 18.13/2.96 inference(forward_subsumption_resolution,[],[f29517,f2838])).
% 18.13/2.96 thf(f29637,plain,(
% 18.13/2.96 $false | (spl98_16 | spl98_17)),
% 18.13/2.96 inference(forward_subsumption_resolution,[],[f29611,f2835])).
% 18.13/2.96 thf(f29638,plain,(
% 18.13/2.96 spl98_16 | spl98_17),
% 18.13/2.96 inference(avatar_contradiction_clause,[],[f29637])).
% 18.13/2.96 cnf(s63, plain, ~spl98_16 | spl98_17, inference(sat_conversion,[],[f2846])).
% 18.13/2.96 cnf(s212, plain, ~spl98_17, inference(sat_conversion,[],[f7844])).
% 18.13/2.96 cnf(s576, plain, spl98_16 | spl98_17, inference(sat_conversion,[],[f29638])).
% 18.13/2.96 cnf(s578, plain, spl98_16, inference(rat,[],[s576,s212])).
% 18.13/2.96 cnf(s626, plain, $false, inference(rat,[],[s63,s212,s578])).
% 18.13/2.96 thf(f29641,plain,(
% 18.13/2.96 $false),
% 18.13/2.96 inference(avatar_sat_refutation,[],[s626])).
% 18.13/2.96 % SZS output end Proof for theBenchmark
% 18.13/2.96 % (961958)------------------------------
% 18.13/2.96 % (961958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.13/2.96 % (961958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/2.96 % (961958)CaDiCaL version: 2.1.3
% 18.13/2.96 % (961958)Termination reason: Refutation
% 18.13/2.96 % (961958)Time elapsed: 2.641 s
% 18.13/2.96 % (961958)Peak memory usage: 38 MB
% 18.13/2.96 % (961958)Instructions burned: 5509 (million)
% 18.13/2.96 % (961946)Success in time 2.703 s
% 18.13/2.96 % Vampire exiting
%------------------------------------------------------------------------------