%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT012-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:36:55 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.28s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 19 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
fof(f17,axiom,
! [X0,X1] :
( ~ identity_map(X1)
| ~ defined(X0,X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
fof(f20,plain,
domain(a) != codomain(domain(a)),
inference(reorient_equations,[],[f19]) ).
fof(f28,plain,
! [X0,X1] :
( ~ defined(X0,domain(X1))
| product(X0,domain(X1),X0) ),
inference(resolution,[],[f17,f10]) ).
fof(f48,plain,
! [X0,X1] :
( ~ product(codomain(X0),X0,X1)
| X0 = X1 ),
inference(resolution,[],[f18,f15]) ).
fof(f119,plain,
! [X0] : product(codomain(domain(X0)),domain(X0),codomain(domain(X0))),
inference(resolution,[],[f28,f13]) ).
fof(f477,plain,
! [X0] : domain(X0) = codomain(domain(X0)),
inference(resolution,[],[f119,f48]) ).
fof(f500,plain,
domain(a) != domain(a),
inference(superposition,[],[f20,f477]) ).
fof(f535,plain,
$false,
inference(trivial_inequality_removal,[],[f500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n006.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 21:13:10 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.28 % (209016)Will run a generic schedule for satisfiability detection.
% 0.11/0.28 % (209038)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=344269837:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.28 % (209034)% WARNING: option uhcvi not known.
% 0.11/0.28 % (209038) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-209016-209038"...
% 0.11/0.28 % (209033)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1667455085_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.28 % (209038)...printing done.
% 0.11/0.28 % (209037)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2981530678:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.28 % (209034)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1251859417:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.28 % (209035)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=777842708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.28 % (209036)dis+10_1_sil=32000:sp=arity:random_seed=1106783391:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.28 % (209038)Refutation found. Thanks to Tanya!
% 0.11/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.28 % (209038)------------------------------
% 0.11/0.28 % (209038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.28 % (209038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.28 % (209038)CaDiCaL version: 2.1.3
% 0.11/0.28 % (209038)Termination reason: Refutation
% 0.11/0.28 % (209038)Time elapsed: 0.006 s
% 0.11/0.28 % (209038)Peak memory usage: 11 MB
% 0.11/0.28 % (209038)Instructions burned: 17 (million)
% 0.11/0.28 % (209016)Success in time 0.043 s
% 0.11/0.28 % Vampire exiting
%------------------------------------------------------------------------------