%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP555-1 : 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 : n006.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 07:24:01 AM UTC 2026
% Result : Unsatisfiable 13.90s 9.39s
% Output : CNFRefutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 3
% Syntax : Number of clauses : 123 ( 123 unt; 0 nHn; 6 RR)
% Number of literals : 123 ( 122 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 477 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = 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(divide(X0,inverse(divide(X1,divide(X0,X2)))),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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(clausification,[status(esa)],[prove_these_axioms_3]) ).
cnf(d0,plain,
divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
divide(multiply(X2,X1),X3) = multiply(X0,divide(X1,divide(X0,divide(X2,X3)))),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d2,plain,
divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d3,plain,
divide(divide(multiply(X2,X1),X3),divide(X2,X3)) = X1,
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d4,plain,
divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
divide(multiply(multiply(X0,X2),X1),multiply(X0,X1)) = X2,
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
divide(X1,divide(X0,multiply(X0,divide(X2,X1)))) = X2,
inference(superposition,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
multiply(multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),divide(X3,X1)),X2) = X3,
inference(superposition,[status(thm)],[d2,c1]) ).
cnf(d8,plain,
multiply(multiply(multiply(X0,divide(X2,multiply(X0,X1))),divide(X3,X2)),X1) = X3,
inference(demodulation,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d10,plain,
multiply(multiply(X0,divide(X2,multiply(X0,X1))),X1) = X2,
inference(demodulation,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(superposition,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
divide(X0,divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
divide(multiply(X0,X2),X1) = multiply(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
X1 = multiply(X0,divide(X1,X0)),
inference(superposition,[status(thm)],[d6,d12]) ).
cnf(d15,plain,
multiply(X2,X1) = multiply(X0,divide(X1,divide(X0,X2))),
inference(superposition,[status(thm)],[d0,d11]) ).
cnf(d16,plain,
multiply(divide(X0,X2),X1) = divide(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d3,d11]) ).
cnf(d17,plain,
divide(multiply(X1,X3),multiply(X1,divide(X2,X0))) = multiply(X0,divide(X3,X2)),
inference(superposition,[status(thm)],[d6,d1]) ).
cnf(d18,plain,
divide(multiply(multiply(X3,divide(divide(X0,X2),divide(X3,X4))),X1),X4) = divide(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d19,plain,
divide(multiply(multiply(X4,divide(X2,divide(X4,X5))),X3),X5) = multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d20,plain,
divide(multiply(multiply(X3,divide(divide(X1,multiply(X1,divide(X2,X0))),divide(X3,X4))),X5),X4) = multiply(multiply(X0,divide(X6,X2)),divide(X5,X6)),
inference(superposition,[status(thm)],[d6,d19]) ).
cnf(d21,plain,
divide(multiply(X1,X5),multiply(X1,divide(X2,X3))) = multiply(multiply(X3,divide(X6,X2)),divide(X5,X6)),
inference(demodulation,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
multiply(X3,divide(X1,X2)) = multiply(multiply(X3,divide(X4,X2)),divide(X1,X4)),
inference(demodulation,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
multiply(X2,multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X3,X5))) = multiply(multiply(X0,divide(X1,divide(X0,X2))),X3),
inference(superposition,[status(thm)],[d19,d11]) ).
cnf(d24,plain,
multiply(X4,multiply(X0,divide(X3,divide(X0,X2)))) = multiply(multiply(X5,divide(X2,divide(X5,X4))),X3),
inference(demodulation,[status(thm)],[d23,d22]) ).
cnf(d25,plain,
multiply(X3,multiply(X2,X1)) = multiply(multiply(X4,divide(X2,divide(X4,X3))),X1),
inference(demodulation,[status(thm)],[d24,d15]) ).
cnf(d26,plain,
multiply(X2,multiply(X1,X3)) = multiply(multiply(X2,X1),X3),
inference(demodulation,[status(thm)],[d25,d15]) ).
cnf(d27,plain,
divide(multiply(multiply(X0,X1),X2),X1) = multiply(multiply(X3,divide(X4,divide(X3,X0))),divide(X2,X4)),
inference(superposition,[status(thm)],[d12,d19]) ).
cnf(d28,plain,
divide(multiply(X0,multiply(X1,X2)),X1) = multiply(multiply(X3,divide(X4,divide(X3,X0))),divide(X2,X4)),
inference(demodulation,[status(thm)],[d27,d26]) ).
cnf(d29,plain,
divide(multiply(X2,multiply(X4,X3)),X4) = multiply(X0,multiply(divide(X1,divide(X0,X2)),divide(X3,X1))),
inference(demodulation,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
divide(multiply(X2,multiply(X4,X3)),X4) = multiply(X1,divide(multiply(X0,divide(X3,X0)),divide(X1,X2))),
inference(demodulation,[status(thm)],[d29,d16]) ).
cnf(d31,plain,
divide(multiply(X3,multiply(X4,X2)),X4) = multiply(X3,multiply(X1,divide(X2,X1))),
inference(demodulation,[status(thm)],[d30,d15]) ).
cnf(d32,plain,
divide(multiply(X2,multiply(X3,X1)),X3) = multiply(X2,X1),
inference(demodulation,[status(thm)],[d31,d14]) ).
cnf(d33,plain,
divide(X1,divide(multiply(X0,X1),multiply(X0,X2))) = X2,
inference(superposition,[status(thm)],[d5,d3]) ).
cnf(d34,plain,
divide(multiply(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[d12,d0]) ).
cnf(d35,plain,
divide(multiply(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
divide(divide(X1,X2),divide(X0,X2)) = divide(X1,X0),
inference(superposition,[status(thm)],[d11,d3]) ).
cnf(d37,plain,
divide(multiply(multiply(X0,divide(X2,X1)),X3),divide(X0,X1)) = multiply(multiply(X4,divide(X5,divide(X4,X2))),divide(X3,X5)),
inference(superposition,[status(thm)],[d12,d19]) ).
cnf(d38,plain,
divide(multiply(X0,multiply(divide(X1,X2),X3)),divide(X0,X2)) = multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X3,X5)),
inference(demodulation,[status(thm)],[d37,d26]) ).
cnf(d39,plain,
divide(multiply(X3,divide(multiply(X0,X2),X1)),divide(X3,X1)) = multiply(multiply(X4,divide(X5,divide(X4,X0))),divide(X2,X5)),
inference(demodulation,[status(thm)],[d38,d16]) ).
cnf(d40,plain,
divide(divide(multiply(X0,multiply(X1,X2)),X3),divide(X0,X3)) = multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X2,X5)),
inference(demodulation,[status(thm)],[d39,d13]) ).
cnf(d41,plain,
divide(multiply(X0,multiply(X1,X2)),X0) = multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X2,X5)),
inference(demodulation,[status(thm)],[d40,d36]) ).
cnf(d42,plain,
multiply(X1,X2) = multiply(multiply(X3,divide(X4,divide(X3,X1))),divide(X2,X4)),
inference(demodulation,[status(thm)],[d41,d35]) ).
cnf(d43,plain,
multiply(X2,X3) = multiply(X0,multiply(divide(X1,divide(X0,X2)),divide(X3,X1))),
inference(demodulation,[status(thm)],[d42,d26]) ).
cnf(d44,plain,
multiply(X2,X3) = multiply(X1,divide(multiply(X0,divide(X3,X0)),divide(X1,X2))),
inference(demodulation,[status(thm)],[d43,d16]) ).
cnf(d45,plain,
multiply(X3,X2) = divide(multiply(X0,multiply(X1,divide(X2,X1))),divide(X0,X3)),
inference(demodulation,[status(thm)],[d44,d13]) ).
cnf(d46,plain,
multiply(X2,X1) = divide(multiply(X3,divide(multiply(X0,X1),X0)),divide(X3,X2)),
inference(demodulation,[status(thm)],[d45,d13]) ).
cnf(d47,plain,
multiply(X3,X2) = divide(divide(multiply(X0,multiply(X1,X2)),X1),divide(X0,X3)),
inference(demodulation,[status(thm)],[d46,d13]) ).
cnf(d48,plain,
multiply(X3,X2) = divide(multiply(X0,X2),divide(X0,X3)),
inference(demodulation,[status(thm)],[d47,d32]) ).
cnf(d49,plain,
divide(multiply(X2,X4),X3) = multiply(multiply(X0,divide(X1,divide(X0,divide(X2,X3)))),divide(X4,X1)),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d50,plain,
divide(multiply(X2,X4),X3) = multiply(divide(multiply(X2,X1),X3),divide(X4,X1)),
inference(demodulation,[status(thm)],[d49,d1]) ).
cnf(d51,plain,
divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),X6),X2) = multiply(multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X3,X5)),divide(X6,X3)),
inference(superposition,[status(thm)],[d19,d50]) ).
cnf(d52,plain,
divide(multiply(X0,multiply(divide(X1,divide(X0,X2)),X3)),X2) = multiply(multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X6,X5)),divide(X3,X6)),
inference(demodulation,[status(thm)],[d51,d26]) ).
cnf(d53,plain,
divide(multiply(X1,divide(multiply(X0,X3),divide(X1,X2))),X2) = multiply(multiply(multiply(X4,divide(X5,divide(X4,X0))),divide(X6,X5)),divide(X3,X6)),
inference(demodulation,[status(thm)],[d52,d16]) ).
cnf(d54,plain,
divide(divide(multiply(X0,multiply(X1,X2)),divide(X0,X3)),X3) = multiply(multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X6,X5)),divide(X2,X6)),
inference(demodulation,[status(thm)],[d53,d13]) ).
cnf(d55,plain,
divide(multiply(X3,multiply(X1,X2)),X3) = multiply(multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X6,X5)),divide(X2,X6)),
inference(demodulation,[status(thm)],[d54,d48]) ).
cnf(d56,plain,
multiply(X1,X2) = multiply(multiply(multiply(X3,divide(X4,divide(X3,X1))),divide(X5,X4)),divide(X2,X5)),
inference(demodulation,[status(thm)],[d55,d35]) ).
cnf(d57,plain,
multiply(X2,X4) = multiply(multiply(X0,divide(X1,divide(X0,X2))),multiply(divide(X3,X1),divide(X4,X3))),
inference(demodulation,[status(thm)],[d56,d26]) ).
cnf(d58,plain,
multiply(X2,X4) = multiply(X0,multiply(divide(X1,divide(X0,X2)),multiply(divide(X3,X1),divide(X4,X3)))),
inference(demodulation,[status(thm)],[d57,d26]) ).
cnf(d59,plain,
multiply(X2,X4) = multiply(X1,divide(multiply(X0,multiply(divide(X3,X0),divide(X4,X3))),divide(X1,X2))),
inference(demodulation,[status(thm)],[d58,d16]) ).
cnf(d60,plain,
multiply(X4,X3) = divide(multiply(X0,multiply(X1,multiply(divide(X2,X1),divide(X3,X2)))),divide(X0,X4)),
inference(demodulation,[status(thm)],[d59,d13]) ).
cnf(d61,plain,
multiply(X4,X3) = multiply(X4,multiply(X1,multiply(divide(X2,X1),divide(X3,X2)))),
inference(demodulation,[status(thm)],[d60,d48]) ).
cnf(d62,plain,
multiply(X3,X2) = multiply(X3,multiply(X1,divide(multiply(X0,divide(X2,X0)),X1))),
inference(demodulation,[status(thm)],[d61,d16]) ).
cnf(d63,plain,
multiply(X3,X2) = multiply(X3,divide(multiply(X0,multiply(X1,divide(X2,X1))),X0)),
inference(demodulation,[status(thm)],[d62,d13]) ).
cnf(d64,plain,
multiply(X0,X3) = divide(multiply(X0,multiply(X1,multiply(X2,divide(X3,X2)))),X1),
inference(demodulation,[status(thm)],[d63,d13]) ).
cnf(d65,plain,
multiply(X0,X3) = multiply(X0,multiply(X2,divide(X3,X2))),
inference(demodulation,[status(thm)],[d64,d32]) ).
cnf(d66,plain,
multiply(X2,X1) = multiply(X2,divide(multiply(X0,X1),X0)),
inference(demodulation,[status(thm)],[d65,d13]) ).
cnf(d67,plain,
multiply(X0,X2) = divide(multiply(X0,multiply(X1,X2)),X1),
inference(demodulation,[status(thm)],[d66,d13]) ).
cnf(d68,plain,
divide(multiply(X0,X3),inverse(X2)) = multiply(multiply(multiply(X0,X1),X2),divide(X3,X1)),
inference(superposition,[status(thm)],[c1,d50]) ).
cnf(d69,plain,
multiply(multiply(X0,X1),X2) = multiply(multiply(multiply(X0,X3),X2),divide(X1,X3)),
inference(demodulation,[status(thm)],[d68,c1]) ).
cnf(d70,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(multiply(X0,X3),X2),divide(X1,X3)),
inference(demodulation,[status(thm)],[d69,d26]) ).
cnf(d71,plain,
multiply(X0,multiply(X3,X2)) = multiply(multiply(X0,X1),multiply(X2,divide(X3,X1))),
inference(demodulation,[status(thm)],[d70,d26]) ).
cnf(d72,plain,
multiply(X0,multiply(X3,X2)) = multiply(X0,multiply(X1,multiply(X2,divide(X3,X1)))),
inference(demodulation,[status(thm)],[d71,d26]) ).
cnf(d73,plain,
multiply(X3,multiply(X1,X0)) = multiply(X3,multiply(X2,divide(multiply(X0,X1),X2))),
inference(demodulation,[status(thm)],[d72,d13]) ).
cnf(d74,plain,
multiply(X3,multiply(X2,X1)) = multiply(X3,divide(multiply(X0,multiply(X1,X2)),X0)),
inference(demodulation,[status(thm)],[d73,d13]) ).
cnf(d75,plain,
multiply(X0,multiply(X3,X2)) = divide(multiply(X0,multiply(X1,multiply(X2,X3))),X1),
inference(demodulation,[status(thm)],[d74,d13]) ).
cnf(d76,plain,
multiply(X0,multiply(X3,X2)) = multiply(X0,multiply(X2,X3)),
inference(demodulation,[status(thm)],[d75,d67]) ).
cnf(d77,plain,
divide(X2,divide(multiply(X0,X2),X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[d11,d33]) ).
cnf(d78,plain,
divide(X4,divide(multiply(divide(multiply(X0,X1),X2),X4),divide(multiply(X0,X3),X2))) = divide(X3,X1),
inference(superposition,[status(thm)],[d50,d33]) ).
cnf(d79,plain,
divide(divide(multiply(X1,X4),X3),divide(multiply(X1,X2),X3)) = divide(X4,X2),
inference(demodulation,[status(thm)],[d78,d77]) ).
cnf(d80,plain,
divide(multiply(X0,X1),multiply(X0,X3)) = divide(X1,X3),
inference(demodulation,[status(thm)],[d79,d36]) ).
cnf(d81,plain,
multiply(multiply(X3,divide(X4,divide(X3,X1))),divide(X2,X4)) = multiply(X0,divide(X1,divide(X0,X2))),
inference(superposition,[status(thm)],[d19,d34]) ).
cnf(d82,plain,
multiply(X0,multiply(divide(X1,divide(X0,X2)),divide(X3,X1))) = multiply(X4,divide(X2,divide(X4,X3))),
inference(demodulation,[status(thm)],[d81,d26]) ).
cnf(d83,plain,
multiply(X1,divide(multiply(X0,divide(X3,X0)),divide(X1,X2))) = multiply(X4,divide(X2,divide(X4,X3))),
inference(demodulation,[status(thm)],[d82,d16]) ).
cnf(d84,plain,
divide(multiply(X0,multiply(X1,divide(X2,X1))),divide(X0,X3)) = multiply(X4,divide(X3,divide(X4,X2))),
inference(demodulation,[status(thm)],[d83,d13]) ).
cnf(d85,plain,
multiply(X3,multiply(X1,divide(X2,X1))) = multiply(X4,divide(X3,divide(X4,X2))),
inference(demodulation,[status(thm)],[d84,d48]) ).
cnf(d86,plain,
multiply(X2,divide(multiply(X0,X1),X0)) = multiply(X3,divide(X2,divide(X3,X1))),
inference(demodulation,[status(thm)],[d85,d13]) ).
cnf(d87,plain,
divide(multiply(X0,multiply(X1,X2)),X1) = multiply(X3,divide(X0,divide(X3,X2))),
inference(demodulation,[status(thm)],[d86,d13]) ).
cnf(d88,plain,
multiply(X0,X2) = multiply(X3,divide(X0,divide(X3,X2))),
inference(demodulation,[status(thm)],[d87,d67]) ).
cnf(d89,plain,
multiply(X1,X2) = divide(multiply(X0,X1),divide(X0,X2)),
inference(demodulation,[status(thm)],[d88,d13]) ).
cnf(d90,plain,
divide(multiply(multiply(X2,divide(inverse(X1),divide(X2,X3))),multiply(X0,X1)),X3) = X0,
inference(superposition,[status(thm)],[c1,d2]) ).
cnf(d91,plain,
divide(multiply(multiply(X0,divide(inverse(X1),divide(X0,X2))),X4),X2) = multiply(X3,divide(X4,multiply(X3,X1))),
inference(superposition,[status(thm)],[d90,d50]) ).
cnf(d92,plain,
divide(multiply(X0,multiply(divide(inverse(X1),divide(X0,X2)),X3)),X2) = multiply(X4,divide(X3,multiply(X4,X1))),
inference(demodulation,[status(thm)],[d91,d26]) ).
cnf(d93,plain,
divide(multiply(X1,divide(multiply(inverse(X0),X3),divide(X1,X2))),X2) = multiply(X4,divide(X3,multiply(X4,X0))),
inference(demodulation,[status(thm)],[d92,d16]) ).
cnf(d94,plain,
divide(divide(multiply(X0,multiply(inverse(X1),X2)),divide(X0,X3)),X3) = multiply(X4,divide(X2,multiply(X4,X1))),
inference(demodulation,[status(thm)],[d93,d13]) ).
cnf(d95,plain,
divide(multiply(multiply(inverse(X1),X2),X3),X3) = multiply(X4,divide(X2,multiply(X4,X1))),
inference(demodulation,[status(thm)],[d94,d89]) ).
cnf(d96,plain,
multiply(inverse(X0),X1) = multiply(X3,divide(X1,multiply(X3,X0))),
inference(demodulation,[status(thm)],[d95,d34]) ).
cnf(d97,plain,
multiply(inverse(X2),X1) = divide(multiply(X0,X1),multiply(X0,X2)),
inference(demodulation,[status(thm)],[d96,d13]) ).
cnf(d98,plain,
multiply(inverse(X2),X1) = divide(X1,X2),
inference(demodulation,[status(thm)],[d97,d80]) ).
cnf(d99,plain,
multiply(multiply(X2,X4),X3) = multiply(multiply(X0,divide(inverse(X1),divide(X0,multiply(X2,X3)))),multiply(X4,X1)),
inference(superposition,[status(thm)],[d90,d10]) ).
cnf(d100,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X3,divide(inverse(X4),divide(X3,multiply(X0,X2)))),multiply(X1,X4)),
inference(demodulation,[status(thm)],[d99,d26]) ).
cnf(d101,plain,
multiply(X2,multiply(X4,X3)) = multiply(X0,multiply(divide(inverse(X1),divide(X0,multiply(X2,X3))),multiply(X4,X1))),
inference(demodulation,[status(thm)],[d100,d26]) ).
cnf(d102,plain,
multiply(X2,multiply(X4,X3)) = multiply(X1,divide(multiply(inverse(X0),multiply(X4,X0)),divide(X1,multiply(X2,X3)))),
inference(demodulation,[status(thm)],[d101,d16]) ).
cnf(d103,plain,
multiply(X3,multiply(X2,X4)) = divide(multiply(X0,multiply(inverse(X1),multiply(X2,X1))),divide(X0,multiply(X3,X4))),
inference(demodulation,[status(thm)],[d102,d13]) ).
cnf(d104,plain,
multiply(X3,multiply(X2,X4)) = multiply(multiply(inverse(X1),multiply(X2,X1)),multiply(X3,X4)),
inference(demodulation,[status(thm)],[d103,d89]) ).
cnf(d105,plain,
multiply(X2,multiply(X1,X3)) = multiply(inverse(X0),multiply(multiply(X1,X0),multiply(X2,X3))),
inference(demodulation,[status(thm)],[d104,d26]) ).
cnf(d106,plain,
multiply(X2,multiply(X1,X3)) = divide(multiply(multiply(X1,X0),multiply(X2,X3)),X0),
inference(demodulation,[status(thm)],[d105,d98]) ).
cnf(d107,plain,
multiply(X2,multiply(X0,X3)) = divide(multiply(X0,multiply(X1,multiply(X2,X3))),X1),
inference(demodulation,[status(thm)],[d106,d26]) ).
cnf(d108,plain,
multiply(X2,multiply(X0,X3)) = multiply(X0,multiply(X2,X3)),
inference(demodulation,[status(thm)],[d107,d67]) ).
cnf(d109,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d34,d11]) ).
cnf(d110,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c2,d109]) ).
cnf(d111,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d110,d108]) ).
cnf(d112,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d111,d76]) ).
cnf(d113,plain,
divide(multiply(multiply(X2,X1),divide(X4,multiply(X0,divide(X1,divide(X0,divide(X2,X3)))))),X3) = X4,
inference(superposition,[status(thm)],[d0,d2]) ).
cnf(d114,plain,
divide(multiply(multiply(X2,X1),divide(X4,divide(multiply(X2,X1),X3))),X3) = X4,
inference(demodulation,[status(thm)],[d113,d1]) ).
cnf(d115,plain,
X2 = X2,
inference(demodulation,[status(thm)],[d114,d0]) ).
cnf(d116,plain,
$false,
inference(resolution,[status(thm)],[d115,d112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 14:59:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.90/9.39 % SZS status Unsatisfiable for theBenchmark.p
% 13.90/9.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------