%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP669-1 : 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 : n006.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 48.52s 26.17s
% Output : CNFRefutation 48.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 5 RR)
% Number of literals : 28 ( 27 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c03,axiom,
mult(rd(X0,X1),X1) = X0 ).
cnf(c04,axiom,
rd(mult(X0,X1),X1) = X0 ).
cnf(c05,axiom,
mult(X0,unit) = X0 ).
cnf(c07,axiom,
mult(X0,mult(X1,mult(X0,X2))) = mult(mult(mult(X0,X1),X0),X2) ).
cnf(c08,axiom,
mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1) ).
cnf(c10,axiom,
mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),mult(c,mult(a,b))) != mult(mult(mult(a,mult(b,c)),a),b) ).
cnf(c_2,plain,
mult(rd(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[c03]) ).
cnf(c_3,plain,
rd(mult(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[c04]) ).
cnf(c_4,plain,
mult(X0,unit) = X0,
inference(clausification,[status(esa)],[c05]) ).
cnf(c_6,plain,
mult(mult(mult(X0,X1),X0),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(clausification,[status(esa)],[c07]) ).
cnf(c_7,plain,
mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
inference(clausification,[status(esa)],[c08]) ).
cnf(c_9,plain,
mult(X0,mult(mult(X1,X2),X0)) = mult(mult(X0,X1),mult(X2,X0)),
inference(clausification,[status(esa)],[c10]) ).
cnf(c_10,plain,
mult(mult(mult(a,mult(b,c)),a),b) != mult(mult(a,b),mult(c,mult(a,b))),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(a,mult(mult(b,c),mult(a,b))) != mult(mult(a,b),mult(c,mult(a,b))),
inference(demodulation,[status(thm)],[c_10,c_6]) ).
cnf(d1,plain,
mult(a,mult(b,mult(mult(c,a),b))) != mult(mult(a,b),mult(c,mult(a,b))),
inference(demodulation,[status(thm)],[d0,c_9]) ).
cnf(d2,plain,
mult(X0,mult(X1,mult(X0,unit))) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_6,c_4]) ).
cnf(d3,plain,
mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(demodulation,[status(thm)],[d2,c_4]) ).
cnf(d4,plain,
rd(mult(X0,mult(X1,X0)),X0) = mult(X0,X1),
inference(superposition,[status(thm)],[d3,c_3]) ).
cnf(d5,plain,
rd(mult(X1,X0),X1) = mult(X1,rd(X0,X1)),
inference(superposition,[status(thm)],[c_2,d4]) ).
cnf(d6,plain,
mult(X1,mult(mult(X3,mult(mult(X0,X1),X2)),X1)) = mult(mult(X1,X3),mult(X0,mult(X1,mult(X2,X1)))),
inference(superposition,[status(thm)],[c_7,c_9]) ).
cnf(d7,plain,
rd(mult(X0,mult(X1,mult(X0,X2))),X2) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_6,c_3]) ).
cnf(d8,plain,
rd(mult(X0,mult(X1,mult(X0,X2))),X2) = mult(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
rd(mult(mult(X0,X1),mult(X2,mult(X0,mult(X1,X0)))),X0) = mult(mult(X0,X1),mult(X2,mult(X0,X1))),
inference(superposition,[status(thm)],[d3,d8]) ).
cnf(d10,plain,
rd(mult(X0,mult(mult(X1,mult(mult(X2,X0),X1)),X0)),X0) = mult(mult(X0,X1),mult(X2,mult(X0,X1))),
inference(demodulation,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
mult(X0,rd(mult(mult(X1,mult(mult(X2,X0),X1)),X0),X0)) = mult(mult(X0,X1),mult(X2,mult(X0,X1))),
inference(demodulation,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
mult(X2,mult(X0,mult(mult(X1,X2),X0))) = mult(mult(X2,X0),mult(X1,mult(X2,X0))),
inference(demodulation,[status(thm)],[d11,c_3]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP669-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n006.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Fri Sep 25 15:34:42 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.52/26.17 % SZS status Unsatisfiable for theBenchmark.p
% 48.52/26.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------