%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 07:23:25 AM UTC 2026
% Result : Unsatisfiable 3.92s 5.98s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 6 RR)
% Number of literals : 21 ( 20 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condition,hypothesis,
multiply(X0,multiply(X1,X1)) = multiply(X1,multiply(X1,X0)) ).
cnf(prove_this,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ).
cnf(associativity_of_multiply,axiom,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
cnf(c0,plain,
multiply(X0,multiply(X0,X1)) = multiply(X1,multiply(X0,X0)),
inference(clausification,[status(esa)],[condition]) ).
cnf(c1,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c2,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(clausification,[status(esa)],[associativity_of_multiply]) ).
cnf(d0,plain,
multiply(X0,multiply(multiply(X1,X1),X2)) = multiply(multiply(X1,multiply(X1,X0)),X2),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
multiply(X2,multiply(X0,multiply(X0,X1))) = multiply(multiply(X0,multiply(X0,X2)),X1),
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
multiply(X1,multiply(X0,multiply(X0,X2))) = multiply(X0,multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
multiply(X1,multiply(X0,multiply(X0,X2))) = multiply(X0,multiply(X0,multiply(X1,X2))),
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
multiply(multiply(X0,X1),multiply(multiply(X0,X1),X2)) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1)))),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d5,plain,
multiply(X0,multiply(X1,multiply(multiply(X0,X1),X2))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1)))),
inference(demodulation,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1)))),
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))),
inference(demodulation,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(demodulation,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(X0,multiply(X1,X2)),X3),
inference(superposition,[status(thm)],[c2,c2]) ).
cnf(d11,plain,
multiply(X0,multiply(X1,multiply(X2,X3))) = multiply(multiply(X0,multiply(X1,X2)),X3),
inference(demodulation,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
multiply(X0,multiply(X1,multiply(X2,X3))) = multiply(X0,multiply(multiply(X1,X2),X3)),
inference(demodulation,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
multiply(X3,multiply(X0,multiply(X1,X2))) = multiply(X3,multiply(X0,multiply(X1,X2))),
inference(demodulation,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 25 14:37:05 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.92/5.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.92/5.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------