%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP470-1 : 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 : 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 07:23:50 AM UTC 2026
% Result : Unsatisfiable 38.28s 30.69s
% Output : CNFRefutation 38.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of clauses : 89 ( 89 unt; 0 nHn; 6 RR)
% Number of literals : 89 ( 88 equ; 5 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 : 348 ( 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_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
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,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(clausification,[status(esa)],[prove_these_axioms_2]) ).
cnf(d0,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(d1,plain,
divide(inverse(divide(X2,divide(X3,multiply(X0,X1)))),divide(divide(inverse(X1),X0),X2)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d2,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)],[d1,d0]) ).
cnf(d3,plain,
divide(inverse(divide(X6,X4)),divide(X1,X6)) = divide(inverse(divide(X5,X4)),divide(X1,X5)),
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
X1 = divide(inverse(divide(X4,divide(X1,multiply(X2,X3)))),divide(divide(inverse(X3),X2),X4)),
inference(superposition,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
X1 = inverse(divide(X4,divide(divide(X1,divide(divide(X2,X3),X4)),divide(X3,X2)))),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d6,plain,
X2 = inverse(divide(X3,divide(divide(X2,divide(divide(inverse(X1),X0),X3)),multiply(X0,X1)))),
inference(superposition,[status(thm)],[c1,d5]) ).
cnf(d7,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)],[d1,d1]) ).
cnf(d8,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)],[d1,d0]) ).
cnf(d9,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)],[d8,c1]) ).
cnf(d10,plain,
divide(divide(inverse(divide(X6,X1)),divide(divide(X0,X5),X6)),divide(X5,X0)) = X1,
inference(superposition,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
X4 = inverse(divide(divide(X3,X2),divide(divide(X4,X1),multiply(divide(divide(X2,X3),X0),divide(X0,X1))))),
inference(superposition,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
divide(inverse(divide(inverse(X2),divide(X3,divide(X1,X0)))),multiply(divide(X0,X1),X2)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d13,plain,
divide(inverse(divide(inverse(X4),divide(X5,divide(divide(divide(inverse(X3),X2),X0),inverse(divide(X0,divide(X1,multiply(X2,X3)))))))),multiply(X1,X4)) = X5,
inference(superposition,[status(thm)],[d1,d12]) ).
cnf(d14,plain,
divide(inverse(divide(inverse(X4),divide(X5,multiply(divide(divide(inverse(X0),X1),X2),divide(X2,divide(X3,multiply(X1,X0))))))),multiply(X3,X4)) = X5,
inference(demodulation,[status(thm)],[d13,c1]) ).
cnf(d15,plain,
divide(divide(inverse(divide(X6,X1)),divide(divide(inverse(X0),X5),X6)),multiply(X5,X0)) = X1,
inference(superposition,[status(thm)],[d9,d14]) ).
cnf(d16,plain,
inverse(divide(inverse(X4),divide(divide(X1,multiply(divide(X2,X3),X4)),divide(X3,X2)))) = X1,
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d17,plain,
inverse(divide(inverse(X4),divide(divide(X5,multiply(divide(divide(divide(X3,X2),X0),inverse(divide(X0,divide(X1,divide(X2,X3))))),X4)),X1))) = X5,
inference(superposition,[status(thm)],[c0,d16]) ).
cnf(d18,plain,
inverse(divide(inverse(X4),divide(divide(X5,multiply(multiply(divide(divide(X0,X1),X2),divide(X2,divide(X3,divide(X1,X0)))),X4)),X3))) = X5,
inference(demodulation,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
divide(divide(inverse(divide(inverse(X2),X3)),multiply(divide(X0,X1),X2)),divide(X1,X0)) = X3,
inference(superposition,[status(thm)],[c1,d10]) ).
cnf(d20,plain,
divide(divide(inverse(divide(inverse(X2),X3)),multiply(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[status(thm)],[c1,d19]) ).
cnf(d21,plain,
divide(inverse(divide(X2,divide(X3,divide(inverse(X1),X0)))),divide(multiply(X0,X1),X2)) = X3,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d22,plain,
divide(inverse(X2),divide(multiply(X1,X0),inverse(divide(divide(inverse(X0),X1),divide(X2,divide(X3,X4)))))) = divide(X4,X3),
inference(superposition,[status(thm)],[c0,d21]) ).
cnf(d23,plain,
divide(inverse(X2),multiply(multiply(X0,X1),divide(divide(inverse(X1),X0),divide(X2,divide(X3,X4))))) = divide(X4,X3),
inference(demodulation,[status(thm)],[d22,c1]) ).
cnf(d24,plain,
divide(inverse(X4),multiply(multiply(divide(divide(divide(X2,X3),X4),X0),divide(X0,X1)),X1)) = divide(X3,X2),
inference(superposition,[status(thm)],[d10,d23]) ).
cnf(d25,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)],[d24,d20]) ).
cnf(d26,plain,
divide(divide(X3,X2),inverse(divide(divide(X2,X3),divide(X1,divide(X4,inverse(X1)))))) = X4,
inference(demodulation,[status(thm)],[d25,d0]) ).
cnf(d27,plain,
multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,divide(X3,inverse(X2))))) = X3,
inference(demodulation,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
multiply(divide(X2,X3),divide(divide(X3,X2),divide(X1,multiply(X0,X1)))) = X0,
inference(demodulation,[status(thm)],[d27,c1]) ).
cnf(d29,plain,
divide(inverse(X2),divide(divide(X1,X0),inverse(divide(divide(X0,X1),divide(X2,divide(X3,X4)))))) = divide(X4,X3),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d30,plain,
divide(inverse(X2),multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,divide(X3,X4))))) = divide(X4,X3),
inference(demodulation,[status(thm)],[d29,c1]) ).
cnf(d31,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)],[d30,d30]) ).
cnf(d32,plain,
divide(X4,X3) = divide(multiply(divide(X5,X6),divide(divide(X6,X5),divide(X7,divide(X4,X3)))),inverse(X7)),
inference(demodulation,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
divide(X3,X4) = multiply(multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,divide(X3,X4)))),X2),
inference(demodulation,[status(thm)],[d32,c1]) ).
cnf(d34,plain,
inverse(divide(X4,divide(divide(X1,divide(divide(X2,X3),X4)),divide(X3,X2)))) = X1,
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d35,plain,
divide(X4,X1) = multiply(X4,divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))),
inference(superposition,[status(thm)],[d34,c1]) ).
cnf(d36,plain,
divide(X4,X3) = multiply(divide(divide(X0,X1),X2),divide(X2,divide(divide(X3,X4),divide(X1,X0)))),
inference(superposition,[status(thm)],[d35,d33]) ).
cnf(d37,plain,
divide(X0,inverse(X1)) = multiply(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X4,multiply(X0,X1)))),X4),
inference(superposition,[status(thm)],[c1,d33]) ).
cnf(d38,plain,
multiply(X0,X1) = multiply(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X4,multiply(X0,X1)))),X4),
inference(demodulation,[status(thm)],[d37,c1]) ).
cnf(d39,plain,
inverse(divide(X2,divide(divide(X3,divide(divide(inverse(X1),X0),X2)),multiply(X0,X1)))) = X3,
inference(superposition,[status(thm)],[c1,d34]) ).
cnf(d40,plain,
divide(X4,X1) = multiply(X4,divide(X0,divide(divide(X1,divide(divide(inverse(X2),X3),X0)),multiply(X3,X2)))),
inference(superposition,[status(thm)],[d39,c1]) ).
cnf(d41,plain,
multiply(X4,X3) = multiply(divide(divide(X0,X1),X2),divide(X2,divide(divide(inverse(X3),X4),divide(X1,X0)))),
inference(superposition,[status(thm)],[d40,d38]) ).
cnf(d42,plain,
multiply(X4,X3) = divide(X4,inverse(X3)),
inference(demodulation,[status(thm)],[d41,d36]) ).
cnf(d43,plain,
multiply(multiply(X0,X1),divide(divide(inverse(X1),X0),divide(X2,multiply(X3,X2)))) = X3,
inference(superposition,[status(thm)],[d42,d28]) ).
cnf(d44,plain,
multiply(multiply(divide(divide(multiply(X2,X3),X3),X0),divide(X0,X1)),X1) = X2,
inference(superposition,[status(thm)],[d10,d43]) ).
cnf(d45,plain,
inverse(divide(inverse(divide(X3,divide(X1,multiply(X0,X1)))),divide(divide(X4,X0),X3))) = X4,
inference(superposition,[status(thm)],[d44,d18]) ).
cnf(d46,plain,
inverse(divide(X2,divide(X1,divide(X4,X3)))) = divide(inverse(divide(X5,X1)),divide(divide(X2,divide(X3,X4)),X5)),
inference(superposition,[status(thm)],[d0,d3]) ).
cnf(d47,plain,
inverse(inverse(divide(X4,divide(divide(X1,multiply(divide(X2,X3),X1)),divide(X3,X2))))) = X4,
inference(superposition,[status(thm)],[d46,d45]) ).
cnf(d48,plain,
inverse(X3) = inverse(divide(divide(X0,X1),divide(X2,multiply(multiply(divide(X1,X0),X3),X2)))),
inference(superposition,[status(thm)],[d45,d47]) ).
cnf(d49,plain,
X2 = divide(inverse(X3),divide(divide(inverse(X2),multiply(divide(X1,X0),X3)),divide(X0,X1))),
inference(superposition,[status(thm)],[d48,d4]) ).
cnf(d50,plain,
divide(X3,multiply(multiply(divide(X1,X0),divide(divide(X0,X1),X2)),X3)) = X2,
inference(superposition,[status(thm)],[d49,d15]) ).
cnf(d51,plain,
divide(X4,multiply(X3,X4)) = divide(X2,multiply(X3,X2)),
inference(superposition,[status(thm)],[d28,d50]) ).
cnf(d52,plain,
X0 = inverse(divide(divide(X3,X2),divide(X4,multiply(divide(divide(X2,X3),X0),X4)))),
inference(superposition,[status(thm)],[d51,d11]) ).
cnf(d53,plain,
X2 = divide(X3,divide(divide(inverse(X2),divide(divide(X1,X0),X3)),divide(X0,X1))),
inference(superposition,[status(thm)],[d52,d4]) ).
cnf(d54,plain,
X0 = divide(divide(X3,X2),divide(X1,divide(multiply(divide(X2,X3),X0),inverse(X1)))),
inference(superposition,[status(thm)],[d49,d53]) ).
cnf(d55,plain,
X2 = divide(divide(X1,X0),divide(X3,multiply(multiply(divide(X0,X1),X2),X3))),
inference(demodulation,[status(thm)],[d54,c1]) ).
cnf(d56,plain,
divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = inverse(X1),
inference(superposition,[status(thm)],[c1,d10]) ).
cnf(d57,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)],[d56,d23]) ).
cnf(d58,plain,
multiply(X3,X0) = divide(divide(X3,divide(divide(X1,X2),X0)),divide(X2,X1)),
inference(superposition,[status(thm)],[d57,d55]) ).
cnf(d59,plain,
multiply(inverse(divide(X0,X1)),X0) = X1,
inference(demodulation,[status(thm)],[d10,d58]) ).
cnf(d60,plain,
multiply(X4,divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))) = divide(X4,X1),
inference(superposition,[status(thm)],[d5,d42]) ).
cnf(d61,plain,
multiply(X4,divide(X3,multiply(X0,X3))) = divide(X4,X0),
inference(demodulation,[status(thm)],[d60,d58]) ).
cnf(d62,plain,
X0 = inverse(divide(X3,multiply(X0,X3))),
inference(demodulation,[status(thm)],[d5,d58]) ).
cnf(d63,plain,
X3 = divide(X4,multiply(multiply(divide(X1,X2),divide(divide(X2,X1),X3)),X4)),
inference(superposition,[status(thm)],[d50,d51]) ).
cnf(d64,plain,
multiply(divide(X1,X2),divide(divide(X2,X1),X3)) = inverse(X3),
inference(superposition,[status(thm)],[d63,d62]) ).
cnf(d65,plain,
inverse(multiply(X2,divide(X1,X0))) = divide(divide(X0,X1),X2),
inference(superposition,[status(thm)],[d64,d61]) ).
cnf(d66,plain,
inverse(divide(X0,X2)) = divide(divide(multiply(X2,X1),X1),X0),
inference(superposition,[status(thm)],[d61,d65]) ).
cnf(d67,plain,
multiply(multiply(inverse(divide(X2,X0)),divide(X2,X3)),X3) = X0,
inference(demodulation,[status(thm)],[d44,d66]) ).
cnf(d68,plain,
inverse(divide(X3,multiply(X0,X3))) = X0,
inference(demodulation,[status(thm)],[d34,d58]) ).
cnf(d69,plain,
multiply(multiply(X1,divide(X0,X2)),X2) = multiply(X1,X0),
inference(superposition,[status(thm)],[d68,d67]) ).
cnf(d70,plain,
multiply(divide(X0,X2),multiply(X2,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[d61,d69]) ).
cnf(d71,plain,
divide(X2,multiply(multiply(divide(inverse(X1),X0),divide(multiply(X0,X1),X3)),X2)) = X3,
inference(superposition,[status(thm)],[d42,d50]) ).
cnf(d72,plain,
divide(X2,multiply(divide(inverse(X0),X1),multiply(X1,X0))) = X2,
inference(superposition,[status(thm)],[d69,d71]) ).
cnf(d73,plain,
divide(X2,multiply(inverse(X0),X0)) = X2,
inference(demodulation,[status(thm)],[d72,d70]) ).
cnf(d74,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[d73,d59]) ).
cnf(d75,plain,
multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[d74,c2]) ).
cnf(d76,plain,
multiply(inverse(divide(X0,a2)),X0) != a2,
inference(superposition,[status(thm)],[d69,d75]) ).
cnf(d77,plain,
a2 != a2,
inference(demodulation,[status(thm)],[d76,d59]) ).
cnf(d78,plain,
divide(inverse(divide(X4,X1)),divide(divide(inverse(X0),divide(X3,X2)),X4)) = inverse(divide(inverse(X0),divide(X1,divide(X2,X3)))),
inference(superposition,[status(thm)],[d12,d1]) ).
cnf(d79,plain,
inverse(divide(inverse(X2),divide(X1,divide(X4,X3)))) = inverse(divide(inverse(X2),divide(X1,divide(X4,X3)))),
inference(demodulation,[status(thm)],[d78,d0]) ).
cnf(d80,plain,
X1 = inverse(divide(inverse(X0),divide(divide(X1,divide(divide(X2,X3),inverse(X0))),divide(X3,X2)))),
inference(superposition,[status(thm)],[d34,d79]) ).
cnf(d81,plain,
X1 = X1,
inference(demodulation,[status(thm)],[d80,d34]) ).
cnf(d82,plain,
$false,
inference(resolution,[status(thm)],[d81,d77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP470-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 14:51:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.28/30.69 % SZS status Unsatisfiable for theBenchmark.p
% 38.28/30.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------