%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT018-1 : 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 : n018.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 09:36:57 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ defined(X3,X2)
| ~ product(X0,X1,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f16,axiom,
! [X0,X1] :
( ~ identity_map(X0)
| ~ defined(X0,X1)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f19,axiom,
defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_ab_exists) ).
fof(f20,axiom,
defined(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_bc_exists) ).
fof(f21,negated_conjecture,
~ defined(a,compose(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_bc_exists) ).
fof(f27,plain,
product(b,c,compose(b,c)),
inference(resolution,[],[f1,f20]) ).
fof(f29,plain,
! [X0,X1] :
( ~ defined(codomain(X0),X1)
| product(codomain(X0),X1,X1) ),
inference(resolution,[],[f16,f11]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(codomain(X2),X0) ),
inference(resolution,[],[f6,f13]) ).
fof(f42,plain,
! [X0,X1] :
( ~ product(X0,X1,b)
| defined(a,X0) ),
inference(resolution,[],[f6,f19]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ defined(codomain(X0),X1)
| ~ defined(X2,codomain(X0))
| defined(X2,X1) ),
inference(resolution,[],[f9,f11]) ).
fof(f130,plain,
defined(codomain(compose(b,c)),b),
inference(resolution,[],[f41,f27]) ).
fof(f242,plain,
product(codomain(compose(b,c)),b,b),
inference(resolution,[],[f130,f29]) ).
fof(f255,plain,
! [X0,X1] :
( ~ defined(X0,codomain(X1))
| defined(X0,X1) ),
inference(resolution,[],[f48,f13]) ).
fof(f1275,plain,
defined(a,codomain(compose(b,c))),
inference(resolution,[],[f242,f42]) ).
fof(f1299,plain,
defined(a,compose(b,c)),
inference(resolution,[],[f1275,f255]) ).
fof(f1306,plain,
$false,
inference(forward_subsumption_resolution,[],[f1299,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT018-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:15:55 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.21/0.31 % (3797036)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (3797044)dis+10_1_sil=32000:sp=arity:random_seed=990612065:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (3797042)% WARNING: option uhcvi not known.
% 0.21/0.31 % (3797041)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3566166642_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (3797042)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=48669951:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (3797043)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2972115143:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (3797045)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=988287175:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (3797046)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2841416330:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (3797047)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2535515752:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % TRYING [1]
% 0.21/0.31 % TRYING [2]
% 0.21/0.31 % TRYING [3]
% 0.21/0.31 % TRYING [4]
% 0.21/0.31 % TRYING [5]
% 0.21/0.31 % (3797044)Instruction limit reached!
% 0.21/0.31 % (3797044)------------------------------
% 0.21/0.31 % (3797044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3797044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3797044)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3797044)Termination reason: Instruction limit
% 0.21/0.31 % (3797044)Termination phase: Saturation
% 0.21/0.31 % (3797044)Time elapsed: 0.035 s
% 0.21/0.31 % (3797044)Peak memory usage: 12 MB
% 0.21/0.31 % (3797044)Instructions burned: 103 (million)
% 0.21/0.31 % (3797046) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3797036-3797046"...
% 0.21/0.31 % (3797046)...printing done.
% 0.21/0.31 % (3797046)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (3797046)------------------------------
% 0.21/0.31 % (3797046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3797046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3797046)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3797046)Termination reason: Refutation
% 0.21/0.31 % (3797046)Time elapsed: 0.028 s
% 0.21/0.31 % (3797046)Peak memory usage: 11 MB
% 0.21/0.31 % (3797046)Instructions burned: 42 (million)
% 0.21/0.31 % (3797036)Success in time 0.065 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------