%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG236-1 : 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 : n016.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 06:48:13 AM UTC 2026
% Result : Unsatisfiable 206.01s 37.04s
% Output : CNFRefutation 206.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 4 RR)
% Number of literals : 26 ( 25 equ; 3 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; 5 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1) ).
cnf(c02,axiom,
mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))) ).
cnf(c03,axiom,
mult(mult(X0,mult(X1,mult(X2,X1))),X3) = mult(X0,mult(X3,mult(mult(X2,X1),X3))) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))) ).
cnf(c_0,plain,
mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1),
inference(clausification,[status(esa)],[c01]) ).
cnf(c_1,plain,
mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))),
inference(clausification,[status(esa)],[c02]) ).
cnf(c_2,plain,
mult(mult(X0,mult(X1,mult(X2,X1))),X3) = mult(X0,mult(X3,mult(mult(X2,X1),X3))),
inference(clausification,[status(esa)],[c03]) ).
cnf(c_3,plain,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(d,mult(c,mult(mult(a,b),e))) != mult(a,mult(c,mult(mult(d,b),e))),
inference(demodulation,[status(thm)],[c_3,c_1]) ).
cnf(d1,plain,
mult(X0,mult(X4,mult(X5,mult(X1,mult(X2,X3))))) = mult(X5,mult(X4,mult(X2,mult(X1,mult(X0,X3))))),
inference(superposition,[status(thm)],[c_1,c_1]) ).
cnf(d2,plain,
mult(X0,X1) = mult(X0,mult(X1,mult(X0,X1))),
inference(superposition,[status(thm)],[c_0,c_1]) ).
cnf(d3,plain,
mult(X2,mult(X3,mult(X0,X1))) = mult(X0,mult(X3,mult(X0,mult(X1,mult(X2,X1))))),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
mult(mult(X2,X3),mult(X1,mult(X0,X1))) = mult(mult(X0,mult(X3,mult(X2,X3))),X1),
inference(superposition,[status(thm)],[c_2,c_1]) ).
cnf(d5,plain,
mult(mult(X2,mult(X1,mult(X0,X1))),X3) = mult(X0,mult(X3,mult(mult(X2,X1),X3))),
inference(superposition,[status(thm)],[c_1,c_2]) ).
cnf(d6,plain,
mult(mult(X2,X1),mult(X3,mult(X0,X3))) = mult(X2,mult(X3,mult(mult(X0,X1),X3))),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
mult(X4,mult(X5,mult(X2,mult(X1,mult(X0,X3))))) = mult(X0,mult(X5,mult(X4,mult(X1,mult(X2,X3))))),
inference(superposition,[status(thm)],[c_1,c_1]) ).
cnf(d8,plain,
mult(X2,mult(X0,X1)) = mult(X1,mult(X0,mult(X2,mult(X0,X1)))),
inference(superposition,[status(thm)],[c_0,c_1]) ).
cnf(d9,plain,
mult(X2,mult(X1,X0)) = mult(X2,mult(X1,mult(X0,mult(X1,X0)))),
inference(superposition,[status(thm)],[d8,c_1]) ).
cnf(d10,plain,
mult(X2,mult(X0,X1)) = mult(X2,mult(X0,X1)),
inference(demodulation,[status(thm)],[d9,c_0]) ).
cnf(d11,plain,
mult(mult(X0,X1),X2) = mult(X0,mult(X2,mult(mult(X0,X1),X2))),
inference(superposition,[status(thm)],[d2,c_2]) ).
cnf(d12,plain,
mult(X0,mult(X1,mult(mult(X0,X2),X1))) = mult(mult(X0,X2),X1),
inference(superposition,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
mult(X0,mult(X3,mult(mult(X0,X2),mult(X1,mult(X4,X1))))) = mult(X4,mult(X3,mult(mult(X0,X2),X1))),
inference(superposition,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
mult(X0,mult(X4,mult(X0,mult(X2,mult(mult(X3,X1),X2))))) = mult(X3,mult(X4,mult(mult(X0,X1),X2))),
inference(demodulation,[status(thm)],[d13,d6]) ).
cnf(d15,plain,
mult(mult(X3,X4),mult(X1,mult(X0,X2))) = mult(X3,mult(X1,mult(mult(X0,X4),X2))),
inference(demodulation,[status(thm)],[d14,d3]) ).
cnf(d16,plain,
mult(X3,mult(X2,mult(mult(X0,X1),X4))) = mult(X0,mult(X2,mult(mult(X3,X1),X4))),
inference(superposition,[status(thm)],[d15,c_1]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 21:48:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 206.01/37.04 % SZS status Unsatisfiable for theBenchmark.p
% 206.01/37.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------