%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP710-11 : 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 : n011.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 07:24:33 AM UTC 2026
% Result : Unsatisfiable 31.28s 4.41s
% Output : CNFRefutation 31.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 7 RR)
% Number of literals : 23 ( 22 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 39 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(X0,unit) = X0 ).
cnf(f02,axiom,
mult(unit,X0) = X0 ).
cnf(f03,axiom,
mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2) ).
cnf(f05,axiom,
mult(i(X0),X0) = unit ).
cnf(goal,negated_conjecture,
mult(X0,x4) != x3 ).
cnf(c0,plain,
mult(X0,unit) = X0,
inference(clausification,[status(esa)],[f01]) ).
cnf(c1,plain,
mult(unit,X0) = X0,
inference(clausification,[status(esa)],[f02]) ).
cnf(c2,plain,
mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
inference(clausification,[status(esa)],[f03]) ).
cnf(c4,plain,
mult(i(X0),X0) = unit,
inference(clausification,[status(esa)],[f05]) ).
cnf(c5,plain,
mult(X0,x4) != x3,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
mult(mult(mult(X0,X1),X1),mult(X2,mult(X2,X3))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(superposition,[status(thm)],[c2,c2]) ).
cnf(d1,plain,
mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,X3))))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,unit))))) = mult(mult(X0,mult(X1,mult(X1,X2))),X2),
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
mult(X1,mult(X2,mult(X2,mult(X0,X0)))) = mult(mult(X1,mult(X2,mult(X2,X0))),X0),
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
mult(X0,mult(X1,mult(X1,mult(x4,x4)))) != x3,
inference(superposition,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d6,plain,
mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(demodulation,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
mult(i(X0),mult(X0,X0)) = mult(unit,X0),
inference(superposition,[status(thm)],[c4,d6]) ).
cnf(d8,plain,
mult(i(X0),mult(X0,X0)) = X0,
inference(demodulation,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
mult(X0,mult(i(x4),x4)) != x3,
inference(superposition,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
mult(X0,unit) != x3,
inference(demodulation,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
X0 != x3,
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
$false,
inference(equality_resolution,[status(thm)],[d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.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 : Fri Sep 25 15:39:29 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.28/4.41 % SZS status Unsatisfiable for theBenchmark.p
% 31.28/4.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------