%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL049-1 : 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 : n010.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 09:38:16 AM UTC 2026
% Result : Unsatisfiable 2.47s 0.70s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 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(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
fof(f3,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).
fof(f4,negated_conjecture,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f14,plain,
! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f16,plain,
! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
inference(superposition,[],[f4,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))))),
inference(superposition,[],[f16,f1]) ).
fof(f124,plain,
! [X0] : apply(m,apply(w,apply(b,X0))) = apply(X0,apply(m,apply(w,apply(b,X0)))),
inference(superposition,[],[f14,f3]) ).
fof(f3463,plain,
apply(m,apply(w,apply(b,f(apply(apply(b,apply(apply(b,m),w)),b))))) != apply(m,apply(w,apply(b,f(apply(apply(b,apply(apply(b,m),w)),b))))),
inference(superposition,[],[f22,f124]) ).
fof(f3464,plain,
$false,
inference(trivial_inequality_removal,[],[f3463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL049-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.31 % Computer : n010.cluster.edu
% 0.27/0.31 % Model : x86_64 x86_64
% 0.27/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31 % Memory : 8046.5625MB
% 0.27/0.31 % OS : Linux 6.8.0-71-generic
% 0.27/0.31 % CPULimit : 300
% 0.27/0.31 % WCLimit : 300
% 0.27/0.31 % DateTime : Mon Sep 28 21:31:32 UTC 2026
% 0.27/0.31 % CPUTime :
% 0.27/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.37 Running first-order model finding
% 0.27/0.37 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
% 2.47/0.70 % (2374433)Will run a generic schedule for satisfiability detection.
% 2.47/0.70 % (2374441)dis+10_1_sil=32000:sp=arity:random_seed=1191336415:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.47/0.70 % (2374439)% WARNING: option uhcvi not known.
% 2.47/0.70 % (2374440)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1733319655:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.47/0.70 % (2374439)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1833768357:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.47/0.70 % (2374438)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2748905975_2999 on theBenchmark for (2999ds/0Mi)
% 2.47/0.70 % (2374443)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3875618035:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.47/0.70 % (2374444)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=404933189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.47/0.70 % (2374442)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2970651104:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.47/0.70 % TRYING [1]
% 2.47/0.70 % TRYING [2]
% 2.47/0.70 % TRYING [3]
% 2.47/0.70 % TRYING [4]
% 2.47/0.70 % (2374441)Instruction limit reached!
% 2.47/0.70 % (2374441)------------------------------
% 2.47/0.70 % (2374441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.70 % (2374441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.70 % (2374441)CaDiCaL version: 2.1.3
% 2.47/0.70 % (2374441)Termination reason: Instruction limit
% 2.47/0.70 % (2374441)Termination phase: Saturation
% 2.47/0.70 % (2374441)Time elapsed: 0.050 s
% 2.47/0.70 % (2374441)Peak memory usage: 12 MB
% 2.47/0.70 % (2374441)Instructions burned: 104 (million)
% 2.47/0.70 % (2374452)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4127337297:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.47/0.70 % TRYING [1]
% 2.47/0.70 % TRYING [2]
% 2.47/0.70 % TRYING [3]
% 2.47/0.70 % TRYING [4]
% 2.47/0.70 % TRYING [5]
% 2.47/0.70 % (2374442)Instruction limit reached!
% 2.47/0.70 % (2374442)------------------------------
% 2.47/0.70 % (2374442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.70 % (2374442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.70 % (2374442)CaDiCaL version: 2.1.3
% 2.47/0.70 % (2374442)Termination reason: Instruction limit
% 2.47/0.70 % (2374442)Termination phase: Saturation
% 2.47/0.70 % (2374442)Time elapsed: 0.113 s
% 2.47/0.70 % (2374442)Peak memory usage: 12 MB
% 2.47/0.70 % (2374442)Instructions burned: 116 (million)
% 2.47/0.70 % TRYING [5]
% 2.47/0.70 % (2374443)Instruction limit reached!
% 2.47/0.70 % (2374443)------------------------------
% 2.47/0.70 % (2374443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.70 % (2374443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.70 % (2374443)CaDiCaL version: 2.1.3
% 2.47/0.70 % (2374443)Termination reason: Instruction limit
% 2.47/0.70 % (2374443)Termination phase: Saturation
% 2.47/0.70 % (2374443)Time elapsed: 0.135 s
% 2.47/0.70 % (2374443)Peak memory usage: 13 MB
% 2.47/0.70 % (2374443)Instructions burned: 131 (million)
% 2.47/0.70 % (2374444)Instruction limit reached!
% 2.47/0.70 % (2374444)------------------------------
% 2.47/0.70 % (2374444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.70 % (2374444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.70 % (2374444)CaDiCaL version: 2.1.3
% 2.47/0.70 % (2374444)Termination reason: Instruction limit
% 2.47/0.70 % (2374444)Termination phase: Saturation
% 2.47/0.70 % (2374444)Time elapsed: 0.157 s
% 2.47/0.70 % (2374444)Peak memory usage: 14 MB
% 2.47/0.70 % (2374444)Instructions burned: 160 (million)
% 2.47/0.70 % (2374454)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=647627648:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.47/0.70 % (2374455)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=1690084400:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.47/0.70 % (2374456)ott-21_1_sil=16000:fs=off:random_seed=1636385442:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.47/0.70 % (2374439) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2374433-2374439"...
% 2.47/0.70 % (2374439)...printing done.
% 2.47/0.70 % (2374439)Refutation found. Thanks to Tanya!
% 2.47/0.70 % SZS status Unsatisfiable for theBenchmark
% 2.47/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.70 % (2374439)------------------------------
% 2.47/0.70 % (2374439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.70 % (2374439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.70 % (2374439)CaDiCaL version: 2.1.3
% 2.47/0.70 % (2374439)Termination reason: Refutation
% 2.47/0.70 % (2374439)Time elapsed: 0.262 s
% 2.47/0.70 % (2374439)Peak memory usage: 14 MB
% 2.47/0.70 % (2374439)Instructions burned: 283 (million)
% 2.47/0.70 % (2374433)Success in time 0.319 s
% 2.47/0.70 % Vampire exiting
%------------------------------------------------------------------------------