%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 23.89s 3.67s
% Output : CNFRefutation 23.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 6 RR)
% Number of literals : 24 ( 23 equ; 5 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(f04,axiom,
rd(mult(X0,X1),X1) = X0 ).
cnf(f07,axiom,
mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)) ).
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(mult(x0,'op$uc'),x1) != mult(x0,mult('op$uc',x1)) ).
cnf(c1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[f02]) ).
cnf(c3,plain,
rd(mult(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[f04]) ).
cnf(c6,plain,
mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(clausification,[status(esa)],[f07]) ).
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(mult(x0,'op$uc'),x1) != mult(x0,mult('op$uc',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(X1,X0),'op$uc') = mult(mult(X1,'op$uc'),X0),
inference(superposition,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
mult('op$uc',mult(X0,X1)) = mult(mult(X0,'op$uc'),X1),
inference(demodulation,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
mult('op$uc',mult(X0,X1)) = mult(mult('op$uc',X0),X1),
inference(superposition,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
rd(mult(X0,'op$uc'),X0) = 'op$uc',
inference(superposition,[status(thm)],[c8,c3]) ).
cnf(d5,plain,
mult(X0,mult('op$uc',X1)) = mult('op$uc',mult(X0,X1)),
inference(superposition,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
mult(mult('op$uc',x0),x1) != mult(x0,mult('op$uc',x1)),
inference(demodulation,[status(thm)],[c9,c8]) ).
cnf(d7,plain,
mult(mult('op$uc',x0),x1) != mult('op$uc',mult(x0,x1)),
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
mult('op$uc',mult(x0,x1)) != mult('op$uc',mult(x0,x1)),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
ld('op$uc',mult('op$uc',X0)) = X0,
inference(superposition,[status(thm)],[c8,d0]) ).
cnf(d10,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.58 % Computer : n002.cluster.edu
% 0.08/0.58 % Model : x86_64 x86_64
% 0.08/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.58 % Memory : 8046.5625MB
% 0.08/0.58 % OS : Linux 6.8.0-71-generic
% 0.08/0.58 % CPULimit : 300
% 0.08/0.58 % WCLimit : 300
% 0.08/0.58 % DateTime : Fri Sep 25 15:35:51 UTC 2026
% 0.08/0.58 % CPUTime :
% 0.08/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.89/3.67 % SZS status Unsatisfiable for theBenchmark.p
% 23.89/3.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------