%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT006-1 : 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 : 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 : Tue Sep 29 09:36:53 AM UTC 2026
% Result : Unsatisfiable 0.36s 0.30s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ defined(X3,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
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] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,axiom,
defined(h,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_defined) ).
fof(f20,axiom,
identity_map(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_is_the_identity_map) ).
fof(f21,negated_conjecture,
codomain(a) != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_h) ).
fof(f22,plain,
h != codomain(a),
inference(reorient_equations,[],[f21]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ defined(X2,X1)
| defined(X0,X2)
| ~ identity_map(X2)
| ~ defined(X0,X1) ),
inference(resolution,[],[f6,f16]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X1 = X2
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(resolution,[],[f18,f16]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X1 = X2
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[],[f52,f2]) ).
fof(f120,plain,
! [X0,X1] :
( ~ defined(X1,X0)
| ~ identity_map(X1)
| ~ identity_map(X0)
| X0 = X1 ),
inference(resolution,[],[f53,f17]) ).
fof(f205,plain,
! [X0] :
( defined(X0,h)
| ~ identity_map(h)
| ~ defined(X0,a) ),
inference(resolution,[],[f37,f19]) ).
fof(f207,plain,
! [X0] :
( ~ defined(X0,a)
| defined(X0,h) ),
inference(forward_subsumption_resolution,[],[f205,f20]) ).
fof(f232,plain,
defined(codomain(a),h),
inference(resolution,[],[f207,f13]) ).
fof(f736,plain,
( ~ identity_map(codomain(a))
| ~ identity_map(h)
| h = codomain(a) ),
inference(resolution,[],[f120,f232]) ).
fof(f749,plain,
( ~ identity_map(h)
| h = codomain(a) ),
inference(forward_subsumption_resolution,[],[f736,f11]) ).
fof(f762,plain,
h = codomain(a),
inference(forward_subsumption_resolution,[],[f749,f20]) ).
fof(f767,plain,
$false,
inference(forward_subsumption_resolution,[],[f762,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.18 % Computer : n026.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 21:15:42 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.22 Running first-order model finding
% 0.12/0.22 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
% 0.36/0.30 % (84472)Will run a generic schedule for satisfiability detection.
% 0.36/0.30 % (84477)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2042595540_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.30 % TRYING [1]
% 0.36/0.30 % TRYING [2]
% 0.36/0.30 % TRYING [3]
% 0.36/0.30 % TRYING [4]
% 0.36/0.30 % TRYING [5]
% 0.36/0.30 % (84483)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1582720778:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.30 % (84481)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3136144129:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.30 % (84482)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2468842039:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.30 % (84478)% WARNING: option uhcvi not known.
% 0.36/0.30 % (84479)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2812031727:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.30 % (84478)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3590329554:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.30 % TRYING [6]
% 0.36/0.30 % (84480)dis+10_1_sil=32000:sp=arity:random_seed=2453545142:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.30 % (84480) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-84472-84480"...
% 0.36/0.30 % (84480)...printing done.
% 0.36/0.30 % (84479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-84472-84479"...
% 0.36/0.30 % (84480)Refutation found. Thanks to Tanya!
% 0.36/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.30 % (84480)------------------------------
% 0.36/0.30 % (84480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.30 % (84480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.30 % (84480)CaDiCaL version: 2.1.3
% 0.36/0.30 % (84480)Termination reason: Refutation
% 0.36/0.30 % (84480)Time elapsed: 0.016 s
% 0.36/0.30 % (84480)Peak memory usage: 11 MB
% 0.36/0.30 % (84480)Instructions burned: 21 (million)
% 0.36/0.30 % (84472)Success in time 0.073 s
% 0.36/0.30 % Vampire exiting
%------------------------------------------------------------------------------