%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP117-1 : 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 : n026.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 07:22:22 AM UTC 2026
% Result : Unsatisfiable 13.64s 2.44s
% Output : CNFRefutation 13.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 5 RR)
% Number of literals : 36 ( 35 equ; 3 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 : 85 ( 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,identity) != a ).
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,identity) != a,
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,
multiply(identity,X0) = X0,
inference(superposition,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
multiply(multiply(X0,multiply(X0,multiply(X0,X1))),identity) = X1,
inference(demodulation,[status(thm)],[d3,d6]) ).
cnf(d26,plain,
multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(X2,X2))))),X2) = X1,
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d27,plain,
multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X2,X2))))),X2) = X1,
inference(demodulation,[status(thm)],[d26,d1]) ).
cnf(d28,plain,
X1 = multiply(X1,multiply(identity,identity)),
inference(superposition,[status(thm)],[d27,d25]) ).
cnf(d29,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d28,d24]) ).
cnf(d30,plain,
a != a,
inference(demodulation,[status(thm)],[c1,d29]) ).
cnf(d31,plain,
$false,
inference(equality_resolution,[status(thm)],[d30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP117-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n026.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 25 14:25:54 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.64/2.44 % SZS status Unsatisfiable for theBenchmark.p
% 13.64/2.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------