%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT011-1 : 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 : 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 09:36:54 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 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(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f20,plain,
domain(a) != domain(domain(a)),
inference(reorient_equations,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ product(X0,domain(X0),X1)
| X0 = X1 ),
inference(resolution,[],[f18,f14]) ).
fof(f84,plain,
! [X0] :
( domain(X0) = X0
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(resolution,[],[f45,f16]) ).
fof(f85,plain,
! [X0] :
( ~ identity_map(X0)
| domain(X0) = X0 ),
inference(forward_subsumption_resolution,[],[f84,f12]) ).
fof(f92,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(resolution,[],[f85,f10]) ).
fof(f117,plain,
domain(a) != domain(a),
inference(superposition,[],[f20,f92]) ).
fof(f125,plain,
$false,
inference(trivial_inequality_removal,[],[f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 % Computer : n010.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 21:13:32 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 0.22/0.29 % (2345417)Will run a generic schedule for satisfiability detection.
% 0.22/0.29 % (2345435)dis+10_1_sil=32000:sp=arity:random_seed=1196007788:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.29 % (2345435) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2345417-2345435"...
% 0.22/0.29 % (2345435)...printing done.
% 0.22/0.29 % (2345433)% WARNING: option uhcvi not known.
% 0.22/0.29 % (2345435)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (2345435)------------------------------
% 0.22/0.29 % (2345435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (2345435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (2345435)CaDiCaL version: 2.1.3
% 0.22/0.29 % (2345435)Termination reason: Refutation
% 0.22/0.29 % (2345435)Time elapsed: 0.002 s
% 0.22/0.29 % (2345435)Peak memory usage: 11 MB
% 0.22/0.29 % (2345435)Instructions burned: 4 (million)
% 0.22/0.29 % (2345417)Success in time 0.038 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------