%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP414-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:23:43 AM UTC 2026
% Result : Unsatisfiable 170.09s 24.94s
% Output : CNFRefutation 170.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of clauses : 98 ( 98 unt; 0 nHn; 4 RR)
% Number of literals : 98 ( 97 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 314 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2 ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(c0,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(clausification,[status(esa)],[prove_these_axioms_3]) ).
cnf(d0,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X3)),X1))) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),X3))),X2)),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3,
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),multiply(inverse(multiply(X0,inverse(X1))),X2)))),X3)) = X2,
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d3,plain,
multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,X3)) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d5,plain,
multiply(inverse(X2),multiply(X0,X3)) = multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))),multiply(X4,X3)),
inference(superposition,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)))),X2)) = X3,
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d7,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X3)) = multiply(inverse(multiply(X4,X0)),multiply(X4,X3)),
inference(superposition,[status(thm)],[d6,d7]) ).
cnf(d9,plain,
multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(multiply(X2,X0)))) = multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d10,plain,
multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X3))),multiply(multiply(inverse(X1),X1),inverse(X2))))),X3) = X2,
inference(superposition,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
multiply(inverse(X2),X2) = multiply(inverse(multiply(X3,X0)),multiply(X3,X0)),
inference(superposition,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1) = X1,
inference(superposition,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
multiply(inverse(X3),X3) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[d11,d11]) ).
cnf(d14,plain,
multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X0) = X0,
inference(superposition,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
multiply(inverse(X0),X2) = multiply(inverse(multiply(X3,X0)),multiply(X3,X2)),
inference(superposition,[status(thm)],[d14,d8]) ).
cnf(d16,plain,
inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X1)) = X2,
inference(demodulation,[status(thm)],[d6,d15]) ).
cnf(d17,plain,
multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)))),multiply(X4,inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)),inverse(X5)),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0))))) = X5,
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d18,plain,
multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X4)))),X1))),inverse(multiply(multiply(multiply(X4,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X4)))),X1)),inverse(X5)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X4)))),X1)))) = X5,
inference(demodulation,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
multiply(inverse(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2))),inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),multiply(inverse(multiply(X0,inverse(X1))),X3)))),X2)),inverse(X4)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),multiply(inverse(multiply(X0,inverse(X1))),X3)))),X2)))) = X4,
inference(demodulation,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
multiply(inverse(X1),inverse(multiply(multiply(multiply(X1,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X0))),multiply(inverse(multiply(X2,inverse(X3))),X1)))),X0)),inverse(X4)),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X0))),multiply(inverse(multiply(X2,inverse(X3))),X1)))),X0)))) = X4,
inference(demodulation,[status(thm)],[d19,d16]) ).
cnf(d21,plain,
multiply(inverse(X3),inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)),inverse(X4)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),multiply(inverse(multiply(X0,inverse(X1))),X3)))),X2)))) = X4,
inference(demodulation,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
multiply(inverse(X3),inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)),inverse(X4)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)))) = X4,
inference(demodulation,[status(thm)],[d21,d15]) ).
cnf(d23,plain,
multiply(X4,inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)),inverse(multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)))),X5))),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)))) = X5,
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d24,plain,
multiply(X4,inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)),inverse(multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),multiply(inverse(multiply(X0,inverse(X1))),X3)))),X2)))),X5))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),multiply(inverse(multiply(X0,inverse(X1))),X3)))),X2)))) = X5,
inference(demodulation,[status(thm)],[d23,d15]) ).
cnf(d25,plain,
multiply(X4,inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)),inverse(multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)))),X5))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),multiply(inverse(multiply(X0,inverse(X1))),X3)))),X2)))) = X5,
inference(demodulation,[status(thm)],[d24,d15]) ).
cnf(d26,plain,
multiply(X2,inverse(multiply(multiply(multiply(X1,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X1))),X0)),inverse(multiply(inverse(multiply(X2,X1)),X3))),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X5))),inverse(X0))),multiply(inverse(multiply(X4,inverse(X5))),X1)))),X0)))) = X3,
inference(demodulation,[status(thm)],[d25,d16]) ).
cnf(d27,plain,
multiply(X4,inverse(multiply(multiply(multiply(X3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)),inverse(multiply(inverse(multiply(X4,X3)),X5))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X3))),X2)))) = X5,
inference(demodulation,[status(thm)],[d26,d15]) ).
cnf(d28,plain,
X2 = multiply(inverse(multiply(inverse(X0),X0)),X2),
inference(superposition,[status(thm)],[d27,d22]) ).
cnf(d29,plain,
multiply(inverse(multiply(inverse(X0),X0)),X2) = X2,
inference(superposition,[status(thm)],[d22,d27]) ).
cnf(d30,plain,
multiply(inverse(multiply(X3,X0)),multiply(X3,X4)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X4)),
inference(superposition,[status(thm)],[d6,d7]) ).
cnf(d31,plain,
multiply(inverse(multiply(X3,X0)),multiply(X3,X2)) = multiply(inverse(X0),X2),
inference(superposition,[status(thm)],[d14,d30]) ).
cnf(d32,plain,
multiply(inverse(multiply(X4,X5)),multiply(X4,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X5)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[d7,d7]) ).
cnf(d33,plain,
multiply(inverse(X1),multiply(X2,X3)) = multiply(inverse(multiply(inverse(multiply(X2,X4)),X1)),multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),
inference(demodulation,[status(thm)],[d32,d15]) ).
cnf(d34,plain,
multiply(inverse(X3),multiply(X4,X2)) = multiply(inverse(multiply(inverse(multiply(X4,X1)),X3)),multiply(inverse(X1),X2)),
inference(demodulation,[status(thm)],[d33,d15]) ).
cnf(d35,plain,
multiply(inverse(X2),multiply(X3,X1)) = multiply(inverse(multiply(inverse(multiply(X3,multiply(inverse(X0),X0))),X2)),X1),
inference(superposition,[status(thm)],[d29,d34]) ).
cnf(d36,plain,
multiply(inverse(X2),multiply(X0,multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X3))) = multiply(inverse(X2),X3),
inference(superposition,[status(thm)],[d35,d31]) ).
cnf(d37,plain,
multiply(inverse(multiply(inverse(X0),X0)),X3) = multiply(X1,multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3)),
inference(superposition,[status(thm)],[d36,d29]) ).
cnf(d38,plain,
X1 = multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),X1)),
inference(demodulation,[status(thm)],[d37,d28]) ).
cnf(d39,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)))),X1))) = multiply(X0,X2),
inference(superposition,[status(thm)],[d4,c0]) ).
cnf(d40,plain,
multiply(X3,X2) = multiply(X3,X2),
inference(demodulation,[status(thm)],[d39,d6]) ).
cnf(d41,plain,
X2 = multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),
inference(superposition,[status(thm)],[c0,d40]) ).
cnf(d42,plain,
X2 = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X2,X1)))))),
inference(superposition,[status(thm)],[d9,d41]) ).
cnf(d43,plain,
X2 = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))),
inference(demodulation,[status(thm)],[d42,d15]) ).
cnf(d44,plain,
X2 = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,X0))))),
inference(superposition,[status(thm)],[d13,d43]) ).
cnf(d45,plain,
X2 = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))),
inference(superposition,[status(thm)],[d1,d4]) ).
cnf(d46,plain,
X3 = multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)),inverse(X3)),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0))))),
inference(superposition,[status(thm)],[d6,d45]) ).
cnf(d47,plain,
X4 = multiply(inverse(X1),inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X1)))),X2)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X1)))),X2)),inverse(X4)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X1)))),X2)))),
inference(demodulation,[status(thm)],[d46,d15]) ).
cnf(d48,plain,
X3 = multiply(inverse(X2),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X3)),multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)))),
inference(demodulation,[status(thm)],[d47,d15]) ).
cnf(d49,plain,
X3 = multiply(inverse(X2),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X3)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X1)))),
inference(demodulation,[status(thm)],[d48,d15]) ).
cnf(d50,plain,
multiply(X2,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X3)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X3)),
inference(demodulation,[status(thm)],[d8,d15]) ).
cnf(d51,plain,
multiply(X3,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X2)) = multiply(inverse(X1),X2),
inference(demodulation,[status(thm)],[d50,d15]) ).
cnf(d52,plain,
X1 = multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[status(thm)],[d51,d49]) ).
cnf(d53,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[status(thm)],[d9,c0]) ).
cnf(d54,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2,
inference(demodulation,[status(thm)],[d53,d15]) ).
cnf(d55,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,X0))))) = X2,
inference(superposition,[status(thm)],[d13,d54]) ).
cnf(d56,plain,
multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))) = multiply(inverse(X2),inverse(multiply(inverse(X0),X0))),
inference(superposition,[status(thm)],[d55,d52]) ).
cnf(d57,plain,
X1 = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[status(thm)],[d56,d44]) ).
cnf(d58,plain,
multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = X2,
inference(demodulation,[status(thm)],[d1,d15]) ).
cnf(d59,plain,
multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X0))) = X2,
inference(superposition,[status(thm)],[d13,d58]) ).
cnf(d60,plain,
X2 = multiply(X3,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X3,inverse(X0))),X2))),X0))),
inference(superposition,[status(thm)],[d13,d41]) ).
cnf(d61,plain,
multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[d56,d55]) ).
cnf(d62,plain,
inverse(multiply(inverse(X3),X3)) = multiply(X1,inverse(multiply(multiply(X1,inverse(X2)),X2))),
inference(superposition,[status(thm)],[d61,d60]) ).
cnf(d63,plain,
X3 = multiply(multiply(X1,inverse(multiply(multiply(X1,inverse(X2)),X2))),X3),
inference(superposition,[status(thm)],[d62,d28]) ).
cnf(d64,plain,
multiply(inverse(inverse(X2)),inverse(X2)) = multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X1),
inference(superposition,[status(thm)],[d63,d59]) ).
cnf(d65,plain,
multiply(inverse(inverse(X1)),inverse(multiply(inverse(inverse(X2)),inverse(X2)))) = X1,
inference(superposition,[status(thm)],[d64,d59]) ).
cnf(d66,plain,
inverse(X0) = multiply(multiply(inverse(X2),X2),inverse(X0)),
inference(superposition,[status(thm)],[d65,d57]) ).
cnf(d67,plain,
inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X0)),X2))),X0)) = X2,
inference(superposition,[status(thm)],[d13,d16]) ).
cnf(d68,plain,
inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))) = X2,
inference(superposition,[status(thm)],[d9,d6]) ).
cnf(d69,plain,
inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,X2))) = inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2))),
inference(superposition,[status(thm)],[d6,d68]) ).
cnf(d70,plain,
X2 = inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))),
inference(superposition,[status(thm)],[d68,d69]) ).
cnf(d71,plain,
X2 = inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1)))),
inference(demodulation,[status(thm)],[d70,d15]) ).
cnf(d72,plain,
X2 = inverse(multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X0)))),
inference(superposition,[status(thm)],[d13,d71]) ).
cnf(d73,plain,
inverse(multiply(multiply(multiply(inverse(X3),X3),X2),X0)) = inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X0)),
inference(superposition,[status(thm)],[d72,d67]) ).
cnf(d74,plain,
X2 = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(X1)),X2))),X1)),
inference(superposition,[status(thm)],[d67,d73]) ).
cnf(d75,plain,
X2 = inverse(multiply(inverse(multiply(inverse(inverse(X1)),X2)),X1)),
inference(demodulation,[status(thm)],[d74,d66]) ).
cnf(d76,plain,
inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1)))) = X2,
inference(demodulation,[status(thm)],[d55,d66]) ).
cnf(d77,plain,
X2 = multiply(multiply(inverse(X1),X1),X2),
inference(demodulation,[status(thm)],[d72,d76]) ).
cnf(d78,plain,
multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[d29,d61]) ).
cnf(d79,plain,
inverse(inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(demodulation,[status(thm)],[d78,d66]) ).
cnf(d80,plain,
X2 = multiply(inverse(inverse(multiply(inverse(X1),X1))),X2),
inference(superposition,[status(thm)],[d79,d77]) ).
cnf(d81,plain,
X1 = inverse(multiply(inverse(X1),multiply(inverse(X0),X0))),
inference(superposition,[status(thm)],[d80,d75]) ).
cnf(d82,plain,
X2 = multiply(inverse(X0),multiply(X0,X2)),
inference(superposition,[status(thm)],[d81,d38]) ).
cnf(d83,plain,
multiply(X1,multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3)) = multiply(inverse(multiply(inverse(X0),X0)),X3),
inference(superposition,[status(thm)],[d36,d28]) ).
cnf(d84,plain,
multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),X1)) = X1,
inference(demodulation,[status(thm)],[d83,d28]) ).
cnf(d85,plain,
multiply(inverse(X0),multiply(X0,X2)) = X2,
inference(superposition,[status(thm)],[d81,d84]) ).
cnf(d86,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[d85,d85]) ).
cnf(d87,plain,
X1 = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[d86,d82]) ).
cnf(d88,plain,
multiply(X0,X2) = multiply(multiply(X0,X1),multiply(inverse(X1),X2)),
inference(superposition,[status(thm)],[d31,d87]) ).
cnf(d89,plain,
multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(superposition,[status(thm)],[d85,d88]) ).
cnf(d90,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c1,d89]) ).
cnf(d91,plain,
X2 = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),multiply(inverse(multiply(X0,inverse(X1))),X2)))),X3)),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d92,plain,
X3 = X3,
inference(demodulation,[status(thm)],[d91,d6]) ).
cnf(d93,plain,
$false,
inference(resolution,[status(thm)],[d92,d90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP414-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 14:58:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.09/24.94 % SZS status Unsatisfiable for theBenchmark.p
% 170.09/24.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------