%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP471-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 07:23:50 AM UTC 2026
% Result : Unsatisfiable 227.44s 37.38s
% Output : CNFRefutation 227.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of clauses : 87 ( 87 unt; 0 nHn; 3 RR)
% Number of literals : 87 ( 86 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 337 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,inverse(X1)) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(c0,plain,
divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = divide(X0,inverse(X1)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(clausification,[status(esa)],[prove_these_axioms_3]) ).
cnf(d0,plain,
divide(inverse(divide(X2,divide(X3,multiply(X0,X1)))),divide(divide(inverse(X1),X0),X2)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
divide(inverse(divide(X4,X1)),divide(divide(X0,divide(X3,X2)),X4)) = inverse(divide(X0,divide(X1,divide(X2,X3)))),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d2,plain,
inverse(divide(X4,divide(divide(X1,divide(divide(X2,X3),X4)),divide(X3,X2)))) = X1,
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
inverse(divide(X2,divide(divide(X3,divide(divide(inverse(X1),X0),X2)),multiply(X0,X1)))) = X3,
inference(superposition,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
divide(inverse(divide(X4,divide(X5,multiply(divide(divide(inverse(X3),X2),X0),divide(X0,divide(X1,multiply(X2,X3))))))),divide(X1,X4)) = X5,
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d5,plain,
divide(inverse(divide(X4,X5)),divide(divide(X6,X1),X4)) = inverse(divide(X6,divide(X5,divide(divide(divide(inverse(X3),X2),X0),inverse(divide(X0,divide(X1,multiply(X2,X3)))))))),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d6,plain,
divide(inverse(divide(X4,X5)),divide(divide(X6,X3),X4)) = inverse(divide(X6,divide(X5,multiply(divide(divide(inverse(X0),X1),X2),divide(X2,divide(X3,multiply(X1,X0))))))),
inference(demodulation,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
divide(divide(inverse(divide(X6,X1)),divide(divide(X0,X5),X6)),divide(X5,X0)) = X1,
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
inverse(divide(divide(X3,X2),divide(divide(X4,X1),multiply(divide(divide(X2,X3),X0),divide(X0,X1))))) = X4,
inference(superposition,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
divide(inverse(divide(inverse(X2),divide(X3,divide(X1,X0)))),multiply(divide(X0,X1),X2)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d10,plain,
divide(inverse(divide(inverse(X2),divide(X3,divide(inverse(X1),X0)))),multiply(multiply(X0,X1),X2)) = X3,
inference(superposition,[status(thm)],[c1,d9]) ).
cnf(d11,plain,
inverse(inverse(divide(X3,divide(X2,divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)))))) = X3,
inference(superposition,[status(thm)],[d1,d2]) ).
cnf(d12,plain,
inverse(inverse(X4)) = inverse(divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2)))),
inference(superposition,[status(thm)],[c0,d11]) ).
cnf(d13,plain,
divide(inverse(inverse(X4)),divide(divide(X2,X3),divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)))) = X4,
inference(superposition,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
divide(inverse(X0),multiply(multiply(divide(X4,X3),divide(divide(X3,X4),divide(X1,X2))),inverse(X0))) = divide(X1,X2),
inference(superposition,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
divide(inverse(divide(X4,X5)),divide(X1,X4)) = inverse(divide(inverse(divide(X0,divide(X1,multiply(X2,X3)))),divide(X5,divide(X0,divide(inverse(X3),X2))))),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d16,plain,
divide(inverse(divide(X6,X4)),divide(X1,X6)) = divide(inverse(divide(X5,X4)),divide(X1,X5)),
inference(superposition,[status(thm)],[d15,d15]) ).
cnf(d17,plain,
divide(inverse(X2),multiply(divide(X1,X0),divide(divide(X0,X1),divide(X2,divide(X3,X4))))) = divide(X4,X3),
inference(superposition,[status(thm)],[c0,d9]) ).
cnf(d18,plain,
divide(inverse(divide(X2,divide(X3,divide(inverse(X1),X0)))),divide(multiply(X0,X1),X2)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d19,plain,
divide(inverse(X2),multiply(divide(X1,X0),divide(divide(X0,X1),divide(X2,divide(inverse(X3),X4))))) = multiply(X4,X3),
inference(superposition,[status(thm)],[d18,d9]) ).
cnf(d20,plain,
divide(X4,inverse(X3)) = multiply(X4,X3),
inference(demodulation,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
divide(inverse(divide(inverse(X1),X2)),multiply(X0,X1)) = divide(inverse(divide(X3,X2)),divide(X0,X3)),
inference(superposition,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
divide(divide(inverse(divide(inverse(X4),X1)),multiply(divide(X2,X3),X4)),divide(X3,X2)) = X1,
inference(superposition,[status(thm)],[d21,d7]) ).
cnf(d23,plain,
divide(divide(inverse(divide(inverse(X2),X3)),multiply(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[status(thm)],[d20,d22]) ).
cnf(d24,plain,
divide(X1,divide(multiply(X2,X3),X0)) = divide(X1,divide(divide(X2,inverse(X3)),X0)),
inference(superposition,[status(thm)],[d2,d18]) ).
cnf(d25,plain,
divide(X2,divide(multiply(X0,X1),X3)) = divide(X2,divide(multiply(X0,X1),X3)),
inference(demodulation,[status(thm)],[d24,c1]) ).
cnf(d26,plain,
divide(X3,multiply(multiply(X0,X1),X2)) = divide(X3,divide(multiply(X0,X1),inverse(X2))),
inference(superposition,[status(thm)],[c1,d25]) ).
cnf(d27,plain,
divide(X3,multiply(multiply(X0,X1),X2)) = divide(X3,multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
X1 = divide(inverse(divide(inverse(X0),divide(X1,divide(inverse(X2),X3)))),multiply(multiply(X3,X2),X0)),
inference(superposition,[status(thm)],[d10,d27]) ).
cnf(d29,plain,
divide(X4,X3) = divide(inverse(X2),multiply(multiply(X1,X0),divide(divide(inverse(X0),X1),divide(X2,divide(X3,X4))))),
inference(superposition,[status(thm)],[c0,d28]) ).
cnf(d30,plain,
divide(X3,X2) = divide(inverse(X4),multiply(multiply(divide(divide(divide(X2,X3),X4),X0),divide(X0,X1)),X1)),
inference(superposition,[status(thm)],[d7,d29]) ).
cnf(d31,plain,
divide(divide(X3,X2),divide(inverse(divide(X4,X0)),divide(divide(divide(X2,X3),divide(inverse(X0),X1)),X4))) = X1,
inference(superposition,[status(thm)],[d30,d23]) ).
cnf(d32,plain,
divide(divide(X3,X2),inverse(divide(divide(X2,X3),divide(X1,divide(X4,inverse(X1)))))) = X4,
inference(demodulation,[status(thm)],[d31,d1]) ).
cnf(d33,plain,
multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,divide(X3,inverse(X2))))) = X3,
inference(demodulation,[status(thm)],[d32,c1]) ).
cnf(d34,plain,
multiply(divide(X2,X3),divide(divide(X3,X2),divide(X1,multiply(X0,X1)))) = X0,
inference(demodulation,[status(thm)],[d33,c1]) ).
cnf(d35,plain,
divide(inverse(X4),multiply(X3,inverse(X4))) = divide(X2,multiply(X3,X2)),
inference(superposition,[status(thm)],[d34,d14]) ).
cnf(d36,plain,
divide(X2,multiply(X1,X2)) = divide(X3,multiply(X1,X3)),
inference(superposition,[status(thm)],[d35,d35]) ).
cnf(d37,plain,
inverse(divide(divide(X3,X2),divide(X4,multiply(divide(divide(X2,X3),X0),X4)))) = X0,
inference(superposition,[status(thm)],[d36,d8]) ).
cnf(d38,plain,
divide(X3,divide(divide(inverse(X2),divide(divide(X1,X0),X3)),divide(X0,X1))) = X2,
inference(superposition,[status(thm)],[d37,d0]) ).
cnf(d39,plain,
divide(divide(X3,X2),divide(X1,divide(divide(divide(X2,X3),inverse(X0)),inverse(X1)))) = X0,
inference(superposition,[status(thm)],[d38,d38]) ).
cnf(d40,plain,
divide(divide(X1,X0),divide(X3,multiply(divide(divide(X0,X1),inverse(X2)),X3))) = X2,
inference(demodulation,[status(thm)],[d39,c1]) ).
cnf(d41,plain,
divide(divide(X1,X0),divide(X3,multiply(multiply(divide(X0,X1),X2),X3))) = X2,
inference(demodulation,[status(thm)],[d40,c1]) ).
cnf(d42,plain,
divide(inverse(X2),multiply(multiply(X1,X0),divide(divide(inverse(X0),X1),divide(X2,divide(X3,X4))))) = divide(X4,X3),
inference(superposition,[status(thm)],[c0,d10]) ).
cnf(d43,plain,
divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = inverse(X1),
inference(superposition,[status(thm)],[d20,d7]) ).
cnf(d44,plain,
divide(inverse(X4),multiply(multiply(divide(divide(divide(X2,X3),X4),X0),multiply(X0,X1)),inverse(X1))) = divide(X3,X2),
inference(superposition,[status(thm)],[d43,d42]) ).
cnf(d45,plain,
divide(divide(X3,divide(divide(X1,X2),X0)),divide(X2,X1)) = multiply(X3,X0),
inference(superposition,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
divide(X3,multiply(inverse(X0),X3)) = X0,
inference(demodulation,[status(thm)],[d38,d45]) ).
cnf(d47,plain,
multiply(inverse(divide(X0,X1)),X0) = X1,
inference(demodulation,[status(thm)],[d7,d45]) ).
cnf(d48,plain,
inverse(divide(X3,multiply(X0,X3))) = X0,
inference(demodulation,[status(thm)],[d2,d45]) ).
cnf(d49,plain,
divide(divide(inverse(divide(X2,X3)),divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[status(thm)],[d20,d7]) ).
cnf(d50,plain,
divide(inverse(X5),multiply(divide(X6,X7),divide(divide(X7,X6),divide(X5,divide(X4,X3))))) = divide(multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,divide(X3,X4)))),inverse(X0)),
inference(superposition,[status(thm)],[d17,d17]) ).
cnf(d51,plain,
divide(X4,X3) = divide(multiply(divide(X5,X6),divide(divide(X6,X5),divide(X7,divide(X4,X3)))),inverse(X7)),
inference(demodulation,[status(thm)],[d50,d17]) ).
cnf(d52,plain,
divide(X3,X4) = multiply(multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,divide(X3,X4)))),X2),
inference(demodulation,[status(thm)],[d51,c1]) ).
cnf(d53,plain,
multiply(X4,divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))) = divide(X4,X1),
inference(superposition,[status(thm)],[d2,c1]) ).
cnf(d54,plain,
divide(X4,X3) = multiply(divide(divide(X0,X1),X2),divide(X2,divide(divide(X3,X4),divide(X1,X0)))),
inference(superposition,[status(thm)],[d53,d52]) ).
cnf(d55,plain,
divide(X3,X4) = multiply(multiply(divide(X0,X1),X2),divide(inverse(X2),divide(divide(X4,X3),divide(X1,X0)))),
inference(superposition,[status(thm)],[d20,d54]) ).
cnf(d56,plain,
divide(X2,X3) = multiply(multiply(multiply(X0,X1),X4),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(X1),X0)))),
inference(superposition,[status(thm)],[d20,d55]) ).
cnf(d57,plain,
divide(X2,X1) = multiply(multiply(multiply(divide(X4,X3),divide(divide(X3,X4),divide(X1,X2))),inverse(X0)),X0),
inference(superposition,[status(thm)],[d13,d56]) ).
cnf(d58,plain,
divide(multiply(X3,X2),X2) = multiply(multiply(X3,inverse(X4)),X4),
inference(superposition,[status(thm)],[d34,d57]) ).
cnf(d59,plain,
divide(multiply(X0,X3),X3) = divide(multiply(X0,X2),X2),
inference(superposition,[status(thm)],[d58,d58]) ).
cnf(d60,plain,
divide(divide(inverse(divide(X1,X3)),divide(multiply(X0,X2),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[status(thm)],[d59,d49]) ).
cnf(d61,plain,
inverse(inverse(inverse(divide(X0,multiply(divide(X1,X2),X0))))) = inverse(divide(X2,X1)),
inference(superposition,[status(thm)],[d60,d12]) ).
cnf(d62,plain,
inverse(inverse(divide(X1,X2))) = inverse(divide(X2,X1)),
inference(demodulation,[status(thm)],[d61,d48]) ).
cnf(d63,plain,
X1 = inverse(divide(X4,divide(divide(X1,divide(divide(X2,X3),X4)),divide(X3,X2)))),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d64,plain,
X0 = inverse(divide(X3,multiply(X0,X3))),
inference(demodulation,[status(thm)],[d63,d45]) ).
cnf(d65,plain,
inverse(X1) = inverse(divide(multiply(X1,X0),X0)),
inference(superposition,[status(thm)],[d64,d62]) ).
cnf(d66,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[d65,d47]) ).
cnf(d67,plain,
divide(multiply(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[d66,d46]) ).
cnf(d68,plain,
multiply(multiply(X0,X1),divide(divide(inverse(X1),X0),divide(X2,multiply(X3,X2)))) = X3,
inference(superposition,[status(thm)],[d20,d34]) ).
cnf(d69,plain,
multiply(multiply(divide(divide(multiply(X2,X3),X3),X0),divide(X0,X1)),X1) = X2,
inference(superposition,[status(thm)],[d7,d68]) ).
cnf(d70,plain,
multiply(multiply(divide(X0,X2),divide(X2,X3)),X3) = X0,
inference(demodulation,[status(thm)],[d69,d67]) ).
cnf(d71,plain,
X1 = divide(inverse(divide(X0,divide(X1,divide(inverse(X2),X3)))),divide(multiply(X3,X2),X0)),
inference(superposition,[status(thm)],[d18,d25]) ).
cnf(d72,plain,
X4 = divide(inverse(divide(X5,divide(X4,X1))),divide(multiply(divide(divide(X3,X2),X0),divide(X0,divide(X1,divide(X2,X3)))),X5)),
inference(superposition,[status(thm)],[c0,d71]) ).
cnf(d73,plain,
X5 = divide(inverse(divide(X6,divide(X5,divide(X3,X4)))),divide(divide(X4,X3),X6)),
inference(superposition,[status(thm)],[d54,d72]) ).
cnf(d74,plain,
X2 = divide(inverse(divide(X3,divide(X2,multiply(X0,X1)))),divide(divide(inverse(X1),X0),X3)),
inference(superposition,[status(thm)],[d20,d73]) ).
cnf(d75,plain,
X2 = divide(X3,divide(divide(inverse(X2),divide(divide(X1,X0),X3)),divide(X0,X1))),
inference(superposition,[status(thm)],[d37,d74]) ).
cnf(d76,plain,
X0 = divide(X3,multiply(inverse(X0),X3)),
inference(demodulation,[status(thm)],[d75,d45]) ).
cnf(d77,plain,
X0 = divide(multiply(X0,X1),X1),
inference(superposition,[status(thm)],[d66,d76]) ).
cnf(d78,plain,
multiply(multiply(divide(X2,multiply(X0,X1)),X0),X1) = X2,
inference(superposition,[status(thm)],[d77,d70]) ).
cnf(d79,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[d77,d78]) ).
cnf(d80,plain,
$false,
inference(resolution,[status(thm)],[d79,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP471-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n020.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Fri Sep 25 14:56:33 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.44/37.38 % SZS status Unsatisfiable for theBenchmark.p
% 227.44/37.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------