%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Sun Sep 27 08:32:46 AM UTC 2026
% Result : Unsatisfiable 16.82s 3.30s
% Output : CNFRefutation 16.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 19 ( 10 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_compatible_functions_alternate_defn1_1,negated_conjecture,
operation(xf1) ).
cnf(prove_compatible_functions_alternate_defn1_2,negated_conjecture,
compatible(xh,xf1,xf2) ).
cnf(prove_compatible_functions_alternate_defn1_3,negated_conjecture,
'cross$uproduct'('domain$uof'(xh),'domain$uof'(xh)) != 'domain$uof'(xf1) ).
cnf(operation2,axiom,
( 'cross$uproduct'('domain$uof'('domain$uof'(X0)),'domain$uof'('domain$uof'(X0))) = 'domain$uof'(X0)
| ~ operation(X0) ) ).
cnf(compatible2,axiom,
( 'domain$uof'('domain$uof'(X1)) = 'domain$uof'(X0)
| ~ compatible(X0,X1,X2) ) ).
cnf(c0,plain,
operation(xf1),
inference(clausification,[status(esa)],[prove_compatible_functions_alternate_defn1_1]) ).
cnf(c1,plain,
compatible(xh,xf1,xf2),
inference(clausification,[status(esa)],[prove_compatible_functions_alternate_defn1_2]) ).
cnf(c2,plain,
'cross$uproduct'('domain$uof'(xh),'domain$uof'(xh)) != 'domain$uof'(xf1),
inference(clausification,[status(esa)],[prove_compatible_functions_alternate_defn1_3]) ).
cnf(c81,plain,
( 'cross$uproduct'('domain$uof'('domain$uof'(X0)),'domain$uof'('domain$uof'(X0))) = 'domain$uof'(X0)
| ~ operation(X0) ),
inference(clausification,[status(esa)],[operation2]) ).
cnf(c85,plain,
( 'domain$uof'('domain$uof'(X1)) = 'domain$uof'(X0)
| ~ compatible(X0,X1,X2) ),
inference(clausification,[status(esa)],[compatible2]) ).
cnf(d0,plain,
'domain$uof'('domain$uof'(xf1)) = 'domain$uof'(xh),
inference(resolution,[status(thm)],[c85,c1]) ).
cnf(d1,plain,
'cross$uproduct'('domain$uof'('domain$uof'(xf1)),'domain$uof'('domain$uof'(xf1))) = 'domain$uof'(xf1),
inference(resolution,[status(thm)],[c81,c0]) ).
cnf(d2,plain,
'cross$uproduct'('domain$uof'(xh),'domain$uof'('domain$uof'(xf1))) = 'domain$uof'(xf1),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'cross$uproduct'('domain$uof'(xh),'domain$uof'(xh)) = 'domain$uof'(xf1),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c2,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 07:55:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.82/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 16.82/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------