%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP665-10 : 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 : n002.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 07:24:25 AM UTC 2026
% Result : Unsatisfiable 12.91s 3.37s
% Output : CNFRefutation 12.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 12 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(f08,axiom,
mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))) ).
cnf(f09,axiom,
mult('op$uc',X0) = mult(X0,'op$uc') ).
cnf(goal,negated_conjecture,
mult('op$uc',mult(x0,x1)) != mult(mult('op$uc',x0),x1) ).
cnf(c1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[f02]) ).
cnf(c7,plain,
mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(clausification,[status(esa)],[f08]) ).
cnf(c8,plain,
mult('op$uc',X0) = mult(X0,'op$uc'),
inference(clausification,[status(esa)],[f09]) ).
cnf(c9,plain,
mult('op$uc',mult(x0,x1)) != mult(mult('op$uc',x0),x1),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
ld('op$uc',mult(X0,'op$uc')) = X0,
inference(superposition,[status(thm)],[c8,c1]) ).
cnf(d1,plain,
mult(mult(X0,X1),'op$uc') = mult(mult('op$uc',X0),ld('op$uc',mult(X1,'op$uc'))),
inference(superposition,[status(thm)],[c8,c7]) ).
cnf(d2,plain,
mult('op$uc',mult(X0,X1)) = mult(mult('op$uc',X0),ld('op$uc',mult(X1,'op$uc'))),
inference(demodulation,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
mult('op$uc',mult(X1,X0)) = mult(mult('op$uc',X1),X0),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n002.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 15:35:35 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.91/3.37 % SZS status Unsatisfiable for theBenchmark.p
% 12.91/3.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------