%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP702-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 07:24:31 AM UTC 2026
% Result : Unsatisfiable 11.28s 7.98s
% Output : CNFRefutation 11.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 12 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(f09,axiom,
mult(X0,mult(X1,'op$uc')) = mult(mult(X0,X1),'op$uc') ).
cnf(f11,axiom,
'op$ud' = ld(X0,mult('op$uc',X0)) ).
cnf(goal,negated_conjecture,
mult(x0,mult(x1,'op$ud')) != mult(mult(x0,x1),'op$ud') ).
cnf(c1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[f02]) ).
cnf(c8,plain,
mult(X0,mult(X1,'op$uc')) = mult(mult(X0,X1),'op$uc'),
inference(clausification,[status(esa)],[f09]) ).
cnf(c10,plain,
'op$ud' = ld(X0,mult('op$uc',X0)),
inference(clausification,[status(esa)],[f11]) ).
cnf(c13,plain,
mult(x0,mult(x1,'op$ud')) != mult(mult(x0,x1),'op$ud'),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
'op$ud' = 'op$uc',
inference(superposition,[status(thm)],[c10,c1]) ).
cnf(d1,plain,
mult(x0,mult(x1,'op$uc')) != mult(mult(x0,x1),'op$ud'),
inference(demodulation,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
mult(x0,mult(x1,'op$uc')) != mult(mult(x0,x1),'op$uc'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
mult(x0,mult(x1,'op$uc')) != mult(x0,mult(x1,'op$uc')),
inference(demodulation,[status(thm)],[d2,c8]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP702-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n014.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Fri Sep 25 15:38:22 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.28/7.98 % SZS status Unsatisfiable for theBenchmark.p
% 11.28/7.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------