%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL026-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 : Tue Sep 29 09:38:12 AM UTC 2026
% Result : Unsatisfiable 2.92s 0.77s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w1,X0),X1) = apply(apply(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).
fof(f3,negated_conjecture,
! [X0] : X0 != apply(combinator,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f4,plain,
! [X0] : apply(combinator,X0) != X0,
inference(reorient_equations,[],[f3]) ).
fof(f12,plain,
! [X2,X0,X1] : apply(apply(w1,X2),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,X2)),X2),
inference(superposition,[],[f2,f1]) ).
fof(f157,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(w1,X2),apply(apply(b,apply(b,X0)),X1)),
inference(superposition,[],[f12,f1]) ).
fof(f4716,plain,
! [X0,X1] : apply(apply(X1,X0),X0) != apply(apply(w1,X0),apply(apply(b,apply(b,combinator)),X1)),
inference(superposition,[],[f4,f157]) ).
fof(f7736,plain,
$false,
inference(equality_resolution,[],[f4716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 % Computer : n002.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 21:32:37 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 Running first-order model finding
% 0.25/0.29 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
% 2.92/0.77 % (793716)Will run a generic schedule for satisfiability detection.
% 2.92/0.77 % (793727)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2615996036:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 2.92/0.77 % (793722)% WARNING: option uhcvi not known.
% 2.92/0.77 % (793725)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2760500533:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 2.92/0.77 % (793724)dis+10_1_sil=32000:sp=arity:random_seed=3321317977:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 2.92/0.77 % (793721)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=857183288_3000 on theBenchmark for (3000ds/0Mi)
% 2.92/0.77 % (793723)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=452350015:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 2.92/0.77 % (793726)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4070646239:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 2.92/0.77 % (793722)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=808111133:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 2.92/0.77 % TRYING [1]
% 2.92/0.77 % TRYING [2]
% 2.92/0.77 % TRYING [3]
% 2.92/0.77 % TRYING [4]
% 2.92/0.77 % (793727)Instruction limit reached!
% 2.92/0.77 % (793727)------------------------------
% 2.92/0.77 % (793727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793727)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793727)Termination reason: Instruction limit
% 2.92/0.77 % (793727)Termination phase: Saturation
% 2.92/0.77 % (793727)Time elapsed: 0.081 s
% 2.92/0.77 % (793727)Peak memory usage: 12 MB
% 2.92/0.77 % (793727)Instructions burned: 160 (million)
% 2.92/0.77 % TRYING [5]
% 2.92/0.77 % (793724)Instruction limit reached!
% 2.92/0.77 % (793724)------------------------------
% 2.92/0.77 % (793724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793724)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793724)Termination reason: Instruction limit
% 2.92/0.77 % (793724)Termination phase: Saturation
% 2.92/0.77 % (793724)Time elapsed: 0.082 s
% 2.92/0.77 % (793724)Peak memory usage: 11 MB
% 2.92/0.77 % (793724)Instructions burned: 103 (million)
% 2.92/0.77 % (793735)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1483535465:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.92/0.77 % TRYING [1]
% 2.92/0.77 % TRYING [2]
% 2.92/0.77 % TRYING [3]
% 2.92/0.77 % TRYING [4]
% 2.92/0.77 % (793725)Instruction limit reached!
% 2.92/0.77 % (793725)------------------------------
% 2.92/0.77 % (793725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793725)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793725)Termination reason: Instruction limit
% 2.92/0.77 % (793725)Termination phase: Saturation
% 2.92/0.77 % (793725)Time elapsed: 0.102 s
% 2.92/0.77 % (793725)Peak memory usage: 12 MB
% 2.92/0.77 % (793725)Instructions burned: 116 (million)
% 2.92/0.77 % (793737)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3480012080:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.92/0.77 % (793739)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=327963157:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.92/0.77 % (793726)Instruction limit reached!
% 2.92/0.77 % (793726)------------------------------
% 2.92/0.77 % (793726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793726)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793726)Termination reason: Instruction limit
% 2.92/0.77 % (793726)Termination phase: Saturation
% 2.92/0.77 % (793726)Time elapsed: 0.137 s
% 2.92/0.77 % (793726)Peak memory usage: 13 MB
% 2.92/0.77 % (793726)Instructions burned: 131 (million)
% 2.92/0.77 % TRYING [5]
% 2.92/0.77 % (793737)Instruction limit reached!
% 2.92/0.77 % (793737)------------------------------
% 2.92/0.77 % (793737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793737)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793737)Termination reason: Instruction limit
% 2.92/0.77 % (793737)Termination phase: Saturation
% 2.92/0.77 % (793737)Time elapsed: 0.064 s
% 2.92/0.77 % (793737)Peak memory usage: 13 MB
% 2.92/0.77 % (793737)Instructions burned: 132 (million)
% 2.92/0.77 % (793743)ott-21_1_sil=16000:fs=off:random_seed=615975198:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.92/0.77 % (793744)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2783245535:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.92/0.77 % (793743)Instruction limit reached!
% 2.92/0.77 % (793743)------------------------------
% 2.92/0.77 % (793743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793743)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793743)Termination reason: Instruction limit
% 2.92/0.77 % (793743)Termination phase: Saturation
% 2.92/0.77 % (793743)Time elapsed: 0.112 s
% 2.92/0.77 % (793743)Peak memory usage: 12 MB
% 2.92/0.77 % (793743)Instructions burned: 181 (million)
% 2.92/0.77 % (793748)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=920233121:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 2.92/0.77 % TRYING [1]
% 2.92/0.77 % TRYING [2]
% 2.92/0.77 % TRYING [3]
% 2.92/0.77 % TRYING [4]
% 2.92/0.77 % (793744)Instruction limit reached!
% 2.92/0.77 % (793744)------------------------------
% 2.92/0.77 % (793744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793744)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793744)Termination reason: Instruction limit
% 2.92/0.77 % (793744)Termination phase: Saturation
% 2.92/0.77 % (793744)Time elapsed: 0.147 s
% 2.92/0.77 % (793744)Peak memory usage: 15 MB
% 2.92/0.77 % (793744)Instructions burned: 478 (million)
% 2.92/0.77 % TRYING [5]
% 2.92/0.77 % (793750)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1021193175:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.92/0.77 % TRYING [6]
% 2.92/0.77 % TRYING [6]
% 2.92/0.77 % (793722) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-793716-793722"...
% 2.92/0.77 % (793722)...printing done.
% 2.92/0.77 % (793722)Refutation found. Thanks to Tanya!
% 2.92/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.92/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/0.77 % (793722)------------------------------
% 2.92/0.77 % (793722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.77 % (793722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.77 % (793722)CaDiCaL version: 2.1.3
% 2.92/0.77 % (793722)Termination reason: Refutation
% 2.92/0.77 % (793722)Time elapsed: 0.427 s
% 2.92/0.77 % (793722)Peak memory usage: 16 MB
% 2.92/0.77 % (793722)Instructions burned: 625 (million)
% 2.92/0.77 % (793716)Success in time 0.467 s
% 2.92/0.77 % Vampire exiting
%------------------------------------------------------------------------------