%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 07:22:21 AM UTC 2026
% Result : Unsatisfiable 12.40s 2.41s
% Output : CNFRefutation 12.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 4 RR)
% Number of literals : 29 ( 28 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1 ).
cnf(prove_order3,negated_conjecture,
multiply(a,multiply(a,a)) != identity ).
cnf(c0,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(a,multiply(a,a)) != identity,
inference(clausification,[status(esa)],[prove_order3]) ).
cnf(d0,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d3,plain,
multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X1)),X2),multiply(X2,X2))) = X1,
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,X1)),multiply(identity,identity))) = X1,
inference(superposition,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
multiply(X0,multiply(X0,multiply(multiply(X0,X1),identity))) = X1,
inference(demodulation,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))) = multiply(multiply(X0,X1),identity),
inference(superposition,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X0)),multiply(multiply(identity,X0),multiply(identity,X0)))) = X2,
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d8,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X0)),multiply(identity,multiply(X0,X0)))) = X2,
inference(demodulation,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,X1)),identity)) = X1,
inference(demodulation,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X3),multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),X1)),multiply(identity,multiply(X1,X1)))))))),multiply(multiply(identity,multiply(multiply(identity,X0),X1)),multiply(identity,multiply(X1,X1))))) = X3,
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d12,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X2),X3)),multiply(identity,multiply(X3,X3)))))))),multiply(multiply(identity,multiply(multiply(identity,X2),X3)),multiply(identity,multiply(X3,X3))))) = X1,
inference(demodulation,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
multiply(X2,multiply(multiply(X2,multiply(X2,multiply(X3,multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1)))))))),multiply(multiply(identity,multiply(multiply(identity,X0),X1)),multiply(identity,multiply(X1,X1))))) = X3,
inference(demodulation,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
multiply(X2,multiply(multiply(X2,multiply(X2,multiply(X3,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)))))),multiply(multiply(identity,multiply(multiply(identity,X0),X1)),multiply(identity,multiply(X1,X1))))) = X3,
inference(demodulation,[status(thm)],[d13,d6]) ).
cnf(d15,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(X0,X0)))),multiply(multiply(identity,multiply(multiply(identity,X0),X3)),multiply(identity,multiply(X3,X3))))) = X2,
inference(demodulation,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
multiply(X2,multiply(multiply(X2,multiply(X2,multiply(X3,multiply(X0,X0)))),multiply(identity,multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1))))) = X3,
inference(demodulation,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,multiply(X2,X2))),multiply(multiply(multiply(identity,X2),X3),multiply(X3,X3))))) = X1,
inference(demodulation,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
multiply(X0,multiply(X0,multiply(multiply(multiply(X0,multiply(X1,multiply(X2,X2))),multiply(identity,X2)),identity))) = X1,
inference(demodulation,[status(thm)],[d17,d6]) ).
cnf(d19,plain,
multiply(X0,multiply(X0,multiply(multiply(X0,multiply(multiply(X1,multiply(X2,X2)),X2)),identity))) = X1,
inference(demodulation,[status(thm)],[d18,d1]) ).
cnf(d20,plain,
multiply(multiply(X1,multiply(X2,X2)),X2) = X1,
inference(demodulation,[status(thm)],[d19,d5]) ).
cnf(d21,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[d20,d10]) ).
cnf(d22,plain,
multiply(multiply(X0,identity),identity) = X0,
inference(superposition,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
multiply(X0,multiply(X0,X0)) = identity,
inference(superposition,[status(thm)],[d22,d5]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d23,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n017.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 14:18:49 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.40/2.41 % SZS status Unsatisfiable for theBenchmark.p
% 12.40/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------