%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 07:24:26 AM UTC 2026
% Result : Unsatisfiable 11.69s 5.09s
% Output : CNFRefutation 11.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c05,axiom,
mult(X0,unit) = X0 ).
cnf(c06,axiom,
mult(unit,X0) = X0 ).
cnf(c09,axiom,
mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)) ).
cnf(c_4,plain,
mult(X0,unit) = X0,
inference(clausification,[status(esa)],[c05]) ).
cnf(c_5,plain,
mult(unit,X0) = X0,
inference(clausification,[status(esa)],[c06]) ).
cnf(c_8,plain,
mult(mult(mult(X0,mult(X1,X2)),X0),X1) = mult(mult(X0,X1),mult(X2,mult(X0,X1))),
inference(clausification,[status(esa)],[c09]) ).
cnf(c_9,plain,
mult(a,mult(b,a)) != mult(mult(a,b),a),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(mult(X0,unit),mult(X1,mult(X0,unit))) = mult(mult(X0,mult(unit,X1)),X0),
inference(superposition,[status(thm)],[c_8,c_4]) ).
cnf(d1,plain,
mult(X0,mult(X1,mult(X0,unit))) = mult(mult(X0,mult(unit,X1)),X0),
inference(demodulation,[status(thm)],[d0,c_4]) ).
cnf(d2,plain,
mult(X0,mult(X1,X0)) = mult(mult(X0,mult(unit,X1)),X0),
inference(demodulation,[status(thm)],[d1,c_4]) ).
cnf(d3,plain,
mult(X1,mult(X0,X1)) = mult(mult(X1,X0),X1),
inference(demodulation,[status(thm)],[d2,c_5]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 15:40:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.69/5.09 % SZS status Unsatisfiable for theBenchmark.p
% 11.69/5.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------