%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP472-1 : 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 : 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 07:23:50 AM UTC 2026
% Result : Unsatisfiable 145.30s 21.27s
% Output : CNFRefutation 145.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 3
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 3 RR)
% Number of literals : 85 ( 84 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 435 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,inverse(X1)) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(c0,plain,
divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = 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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(clausification,[status(esa)],[prove_these_axioms_1]) ).
cnf(d0,plain,
divide(divide(inverse(divide(divide(X3,X2),X4)),X1),divide(divide(divide(X2,X3),X0),inverse(divide(X0,X1)))) = X4,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
divide(divide(inverse(divide(divide(X1,X0),X4)),X3),multiply(divide(divide(X0,X1),X2),divide(X2,X3))) = X4,
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
divide(divide(inverse(X2),divide(divide(X5,X6),divide(inverse(divide(divide(X0,X1),X2)),X3))),divide(X6,X5)) = multiply(divide(divide(X1,X0),X4),divide(X4,X3)),
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
divide(divide(inverse(X1),divide(divide(X4,X5),divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)))),divide(X5,X4)) = divide(X3,X2),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d4,plain,
divide(X6,X5) = multiply(divide(divide(X4,X3),X7),divide(X7,divide(divide(X5,X6),divide(X3,X4)))),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
divide(X2,X3) = multiply(divide(multiply(X0,X1),X4),divide(X4,divide(divide(X3,X2),divide(inverse(X1),X0)))),
inference(superposition,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(divide(X5,X4),X9)))),divide(X8,X7)) = divide(divide(X2,X1),divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3))))),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d7,plain,
divide(X5,X4) = divide(divide(X6,X7),divide(inverse(X8),divide(divide(X7,X6),divide(inverse(divide(X9,X8)),divide(divide(X5,X4),X9))))),
inference(demodulation,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
divide(divide(inverse(X1),X4),multiply(divide(divide(divide(divide(X2,X3),X0),inverse(divide(X0,X1))),X5),divide(X5,X4))) = divide(X3,X2),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d9,plain,
divide(divide(inverse(X3),X4),multiply(divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),X5),divide(X5,X4))) = divide(X1,X0),
inference(demodulation,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
divide(divide(inverse(divide(X4,X5)),divide(X1,X4)),divide(divide(X3,X2),divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)))) = X5,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d11,plain,
divide(divide(inverse(X1),X6),multiply(divide(divide(divide(X2,X0),inverse(divide(X0,X1))),X7),divide(X7,X6))) = divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X4,X3),X5))),
inference(superposition,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
divide(divide(inverse(X2),X3),multiply(divide(multiply(divide(X0,X1),divide(X1,X2)),X4),divide(X4,X3))) = divide(divide(X5,X6),divide(inverse(divide(X7,X0)),divide(divide(X6,X5),X7))),
inference(demodulation,[status(thm)],[d11,c1]) ).
cnf(d13,plain,
divide(divide(X6,X7),divide(inverse(divide(X8,divide(X2,X3))),divide(divide(X7,X6),X8))) = divide(X3,X2),
inference(superposition,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
divide(X1,X0) = divide(divide(X1,X0),divide(inverse(divide(X3,X4)),divide(X4,X3))),
inference(superposition,[status(thm)],[d13,d7]) ).
cnf(d15,plain,
divide(divide(inverse(divide(X3,X4)),divide(X0,X1)),divide(X1,X0)) = divide(X4,X3),
inference(superposition,[status(thm)],[d14,d3]) ).
cnf(d16,plain,
divide(divide(inverse(divide(X3,X4)),divide(X4,X3)),divide(X1,X0)) = divide(X0,X1),
inference(superposition,[status(thm)],[d13,d3]) ).
cnf(d17,plain,
divide(divide(inverse(divide(X2,X3)),divide(X3,X2)),multiply(X0,X1)) = divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c1,d16]) ).
cnf(d18,plain,
X2 = divide(inverse(divide(X3,divide(X2,divide(X0,X1)))),divide(divide(X1,X0),X3)),
inference(superposition,[status(thm)],[d1,d17]) ).
cnf(d19,plain,
divide(X1,divide(X0,divide(X3,X2))) = divide(divide(X1,divide(X2,X3)),X0),
inference(superposition,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
divide(divide(inverse(divide(X4,X5)),divide(divide(divide(X3,X2),divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0))),X4)),X1) = X5,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d21,plain,
divide(divide(inverse(divide(X3,X4)),divide(divide(X0,X1),X3)),divide(X1,X0)) = X4,
inference(superposition,[status(thm)],[d14,d20]) ).
cnf(d22,plain,
divide(inverse(divide(X0,X1)),divide(divide(X3,X2),divide(X0,divide(X2,X3)))) = X1,
inference(demodulation,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
divide(inverse(divide(inverse(divide(X0,X1)),X2)),divide(X0,X1)) = X2,
inference(superposition,[status(thm)],[d14,d22]) ).
cnf(d24,plain,
divide(inverse(X2),divide(inverse(divide(X0,X1)),X2)) = divide(X0,X1),
inference(superposition,[status(thm)],[d23,d23]) ).
cnf(d25,plain,
divide(divide(inverse(X4),divide(divide(divide(X3,X2),divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0))),divide(inverse(divide(X5,X4)),divide(divide(X6,X7),X5)))),X1) = divide(X7,X6),
inference(superposition,[status(thm)],[c0,d3]) ).
cnf(d26,plain,
divide(inverse(X0),divide(X4,divide(divide(inverse(divide(X5,X0)),divide(divide(X6,X7),X5)),divide(divide(X1,X2),divide(inverse(divide(X3,X4)),divide(divide(X2,X1),X3)))))) = divide(X7,X6),
inference(demodulation,[status(thm)],[d25,d19]) ).
cnf(d27,plain,
divide(inverse(X1),divide(X7,divide(inverse(divide(X0,X1)),divide(divide(divide(X4,X5),divide(inverse(divide(X6,X7)),divide(divide(X5,X4),X6))),divide(X0,divide(X2,X3)))))) = divide(X3,X2),
inference(demodulation,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
divide(inverse(X7),divide(X3,divide(inverse(divide(X4,X7)),divide(divide(X0,X1),divide(divide(X4,divide(X5,X6)),divide(divide(divide(X1,X0),X2),inverse(divide(X2,X3)))))))) = divide(X6,X5),
inference(demodulation,[status(thm)],[d27,d19]) ).
cnf(d29,plain,
divide(inverse(X7),divide(X6,divide(inverse(divide(X0,X7)),divide(divide(X4,X3),divide(X0,divide(divide(divide(divide(X3,X4),X5),inverse(divide(X5,X6))),divide(X2,X1))))))) = divide(X2,X1),
inference(demodulation,[status(thm)],[d28,d19]) ).
cnf(d30,plain,
divide(inverse(X4),divide(X3,divide(inverse(divide(X5,X4)),divide(divide(X1,X0),divide(X5,divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),divide(X6,X7))))))) = divide(X6,X7),
inference(demodulation,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
divide(divide(inverse(X6),divide(divide(divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X4,X3),X5))),divide(inverse(divide(X0,X1)),divide(X2,X0))),divide(inverse(divide(X7,X6)),divide(divide(X8,X9),X7)))),X1) = divide(X9,X8),
inference(superposition,[status(thm)],[d10,d3]) ).
cnf(d32,plain,
divide(inverse(X0),divide(X6,divide(divide(inverse(divide(X7,X0)),divide(divide(X8,X9),X7)),divide(divide(divide(X1,X2),divide(inverse(divide(X3,X4)),divide(divide(X2,X1),X3))),divide(inverse(divide(X5,X6)),divide(X4,X5)))))) = divide(X9,X8),
inference(demodulation,[status(thm)],[d31,d19]) ).
cnf(d33,plain,
divide(inverse(X1),divide(X9,divide(inverse(divide(X0,X1)),divide(divide(divide(divide(X4,X5),divide(inverse(divide(X6,X7)),divide(divide(X5,X4),X6))),divide(inverse(divide(X8,X9)),divide(X7,X8))),divide(X0,divide(X2,X3)))))) = divide(X3,X2),
inference(demodulation,[status(thm)],[d32,d19]) ).
cnf(d34,plain,
divide(inverse(X9),divide(X5,divide(inverse(divide(X6,X9)),divide(divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(divide(X1,X0),X2))),divide(divide(X6,divide(X7,X8)),divide(divide(X3,X4),inverse(divide(X4,X5)))))))) = divide(X8,X7),
inference(demodulation,[status(thm)],[d33,d19]) ).
cnf(d35,plain,
divide(inverse(X9),divide(X8,divide(inverse(divide(X4,X9)),divide(divide(X0,X1),divide(divide(divide(X4,divide(X5,X6)),divide(divide(X3,X7),inverse(divide(X7,X8)))),divide(divide(divide(X1,X0),X2),inverse(divide(X2,X3)))))))) = divide(X6,X5),
inference(demodulation,[status(thm)],[d34,d19]) ).
cnf(d36,plain,
divide(inverse(X9),divide(X5,divide(inverse(divide(X0,X9)),divide(divide(X7,X6),divide(divide(X0,divide(X1,X2)),divide(divide(divide(divide(X6,X7),X8),inverse(divide(X8,X3))),divide(inverse(divide(X4,X5)),divide(X3,X4)))))))) = divide(X2,X1),
inference(demodulation,[status(thm)],[d35,d19]) ).
cnf(d37,plain,
divide(inverse(X9),divide(X8,divide(inverse(divide(X0,X9)),divide(divide(X4,X3),divide(X0,divide(divide(divide(divide(divide(X3,X4),X5),inverse(divide(X5,X6))),divide(inverse(divide(X7,X8)),divide(X6,X7))),divide(X2,X1))))))) = divide(X2,X1),
inference(demodulation,[status(thm)],[d36,d19]) ).
cnf(d38,plain,
divide(inverse(X8),divide(X5,divide(inverse(divide(X9,X8)),divide(divide(X1,X0),divide(X9,divide(divide(divide(divide(X0,X1),X2),inverse(divide(X2,X3))),divide(divide(X6,X7),divide(divide(X3,X4),inverse(divide(X4,X5)))))))))) = divide(X6,X7),
inference(demodulation,[status(thm)],[d37,d19]) ).
cnf(d39,plain,
divide(inverse(X4),divide(X5,divide(inverse(divide(X6,X4)),divide(divide(X1,X0),divide(X6,divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),divide(divide(X7,X8),divide(divide(X3,X9),inverse(divide(X9,X5)))))))))) = divide(X7,X8),
inference(demodulation,[status(thm)],[d38,c1]) ).
cnf(d40,plain,
divide(inverse(X3),divide(X2,divide(inverse(divide(X4,X3)),divide(divide(X5,X6),divide(X4,divide(multiply(divide(divide(X6,X5),X7),divide(X7,X0)),divide(divide(X8,X9),multiply(divide(X0,X1),divide(X1,X2))))))))) = divide(X8,X9),
inference(demodulation,[status(thm)],[d39,c1]) ).
cnf(d41,plain,
divide(X6,X7) = divide(divide(X6,X7),multiply(divide(X1,X8),divide(X8,X1))),
inference(superposition,[status(thm)],[d40,d30]) ).
cnf(d42,plain,
divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[d41,d1]) ).
cnf(d43,plain,
divide(inverse(divide(X1,X0)),X2) = divide(divide(X0,X1),X2),
inference(superposition,[status(thm)],[d42,d24]) ).
cnf(d44,plain,
divide(divide(X2,divide(X0,X1)),divide(X1,X0)) = X2,
inference(demodulation,[status(thm)],[d42,d43]) ).
cnf(d45,plain,
divide(X0,divide(divide(X2,X1),divide(X2,X1))) = X0,
inference(demodulation,[status(thm)],[d44,d19]) ).
cnf(d46,plain,
divide(X2,inverse(X1)) = multiply(divide(multiply(X2,X1),X0),X0),
inference(superposition,[status(thm)],[d45,d5]) ).
cnf(d47,plain,
multiply(X0,X1) = multiply(divide(multiply(X0,X1),X2),X2),
inference(demodulation,[status(thm)],[d46,c1]) ).
cnf(d48,plain,
divide(divide(inverse(X3),divide(divide(X4,X5),divide(inverse(divide(inverse(X2),X3)),multiply(divide(X0,X1),X2)))),divide(X5,X4)) = divide(X1,X0),
inference(superposition,[status(thm)],[c1,d3]) ).
cnf(d49,plain,
divide(inverse(X0),divide(divide(X2,X1),divide(divide(inverse(divide(inverse(X3),X0)),multiply(divide(X4,X5),X3)),divide(X1,X2)))) = divide(X5,X4),
inference(demodulation,[status(thm)],[d48,d19]) ).
cnf(d50,plain,
divide(divide(inverse(divide(inverse(X2),X3)),multiply(divide(X0,X1),X2)),divide(X1,X0)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d51,plain,
divide(inverse(X1),divide(divide(X2,X3),X1)) = divide(X3,X2),
inference(superposition,[status(thm)],[d50,d49]) ).
cnf(d52,plain,
divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[status(thm)],[d51,d45]) ).
cnf(d53,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[d45,d51]) ).
cnf(d54,plain,
inverse(X0) = divide(divide(divide(X1,X2),divide(X1,X2)),X0),
inference(superposition,[status(thm)],[d45,d53]) ).
cnf(d55,plain,
inverse(X2) = divide(divide(X0,X1),divide(X2,divide(X1,X0))),
inference(demodulation,[status(thm)],[d54,d19]) ).
cnf(d56,plain,
divide(divide(inverse(divide(X2,X3)),divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d57,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[d16,d56]) ).
cnf(d58,plain,
divide(X2,divide(X1,X0)) = multiply(X2,divide(X0,X1)),
inference(superposition,[status(thm)],[d53,d57]) ).
cnf(d59,plain,
divide(divide(inverse(divide(X2,X3)),divide(divide(inverse(X1),X0),X2)),multiply(X0,X1)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d60,plain,
divide(divide(inverse(divide(multiply(divide(divide(X1,X0),X4),divide(X4,X3)),X5)),X2),multiply(X3,divide(divide(X0,X1),X2))) = X5,
inference(superposition,[status(thm)],[d1,d59]) ).
cnf(d61,plain,
divide(divide(divide(X4,multiply(divide(divide(X0,X1),X2),divide(X2,X3))),X5),multiply(X3,divide(divide(X1,X0),X5))) = X4,
inference(demodulation,[status(thm)],[d60,d53]) ).
cnf(d62,plain,
divide(divide(divide(X4,divide(divide(divide(X0,X1),X2),divide(X3,X2))),X5),multiply(X3,divide(divide(X1,X0),X5))) = X4,
inference(demodulation,[status(thm)],[d61,d58]) ).
cnf(d63,plain,
divide(divide(X0,divide(X5,divide(divide(X4,X3),divide(divide(X1,X2),X3)))),multiply(X4,divide(divide(X2,X1),X5))) = X0,
inference(demodulation,[status(thm)],[d62,d19]) ).
cnf(d64,plain,
divide(X0,divide(multiply(X2,divide(divide(X5,X4),X1)),divide(divide(divide(X2,X3),divide(divide(X4,X5),X3)),X1))) = X0,
inference(demodulation,[status(thm)],[d63,d19]) ).
cnf(d65,plain,
divide(X4,divide(divide(X0,divide(X3,divide(X1,X2))),divide(divide(divide(X0,X5),divide(divide(X2,X1),X5)),X3))) = X4,
inference(demodulation,[status(thm)],[d64,d58]) ).
cnf(d66,plain,
divide(X5,divide(X0,divide(divide(divide(divide(X0,X4),divide(divide(X3,X2),X4)),X1),divide(divide(X2,X3),X1)))) = X5,
inference(demodulation,[status(thm)],[d65,d19]) ).
cnf(d67,plain,
divide(X5,divide(X0,divide(divide(divide(X0,X1),divide(X4,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X4)))) = X5,
inference(demodulation,[status(thm)],[d66,d19]) ).
cnf(d68,plain,
divide(X5,divide(X0,divide(divide(X0,X1),divide(divide(divide(X4,X3),X2),divide(divide(X1,divide(X3,X4)),X2))))) = X5,
inference(demodulation,[status(thm)],[d67,d19]) ).
cnf(d69,plain,
divide(X4,divide(X5,divide(divide(X5,X0),divide(divide(divide(X2,X1),X3),divide(X0,divide(X3,divide(X2,X1))))))) = X4,
inference(demodulation,[status(thm)],[d68,d19]) ).
cnf(d70,plain,
divide(X4,divide(X5,divide(divide(X5,X3),inverse(X3)))) = X4,
inference(demodulation,[status(thm)],[d69,d55]) ).
cnf(d71,plain,
divide(X2,divide(X0,multiply(divide(X0,X1),X1))) = X2,
inference(demodulation,[status(thm)],[d70,c1]) ).
cnf(d72,plain,
divide(inverse(inverse(X2)),multiply(divide(X0,X1),X2)) = divide(X1,X0),
inference(superposition,[status(thm)],[d57,d51]) ).
cnf(d73,plain,
divide(X1,divide(X0,inverse(inverse(X0)))) = X1,
inference(superposition,[status(thm)],[d72,d71]) ).
cnf(d74,plain,
divide(X1,multiply(X0,inverse(X0))) = X1,
inference(demodulation,[status(thm)],[d73,c1]) ).
cnf(d75,plain,
divide(multiply(X1,inverse(X1)),X0) = inverse(X0),
inference(superposition,[status(thm)],[d74,d52]) ).
cnf(d76,plain,
multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[d75,d47]) ).
cnf(d77,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[d76,d76]) ).
cnf(d78,plain,
$false,
inference(resolution,[status(thm)],[d77,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP472-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Fri Sep 25 14:55:36 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 145.30/21.27 % SZS status Unsatisfiable for theBenchmark.p
% 145.30/21.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------