%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO024-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 06:54:42 AM UTC 2026
% Result : Unsatisfiable 108.37s 22.57s
% Output : CNFRefutation 108.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 8
% Syntax : Number of clauses : 162 ( 162 unt; 0 nHn; 8 RR)
% Number of literals : 162 ( 161 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 318 ( 93 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
multiply(add(X0,X1),X1) = X1 ).
cnf(multiply_add_property,axiom,
multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)) ).
cnf(additive_inverse,axiom,
add(X0,inverse(X0)) = n1 ).
cnf(pixley_defn,axiom,
pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))) ).
cnf(pixley1,axiom,
pixley(X0,X0,X1) = X1 ).
cnf(pixley2,axiom,
pixley(X0,X1,X1) = X0 ).
cnf(pixley3,axiom,
pixley(X0,X1,X0) = X0 ).
cnf(prove_add_multiply,negated_conjecture,
add(multiply(a,b),b) != b ).
cnf(c0,plain,
multiply(add(X0,X1),X1) = X1,
inference(clausification,[status(esa)],[multiply_add]) ).
cnf(c1,plain,
multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
inference(clausification,[status(esa)],[multiply_add_property]) ).
cnf(c2,plain,
add(X0,inverse(X0)) = n1,
inference(clausification,[status(esa)],[additive_inverse]) ).
cnf(c3,plain,
pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))),
inference(clausification,[status(esa)],[pixley_defn]) ).
cnf(c4,plain,
pixley(X0,X0,X1) = X1,
inference(clausification,[status(esa)],[pixley1]) ).
cnf(c5,plain,
pixley(X0,X1,X1) = X0,
inference(clausification,[status(esa)],[pixley2]) ).
cnf(c6,plain,
pixley(X0,X1,X0) = X0,
inference(clausification,[status(esa)],[pixley3]) ).
cnf(c7,plain,
add(multiply(a,b),b) != b,
inference(clausification,[status(esa)],[prove_add_multiply]) ).
cnf(d0,plain,
pixley(X0,X2,X1) = add(multiply(X0,inverse(X2)),multiply(X1,add(X0,inverse(X2)))),
inference(demodulation,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
pixley(X0,X0,X1) = add(multiply(X0,inverse(X0)),multiply(X1,n1)),
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
X1 = add(multiply(X0,inverse(X0)),multiply(X1,n1)),
inference(demodulation,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
multiply(n1,inverse(X0)) = inverse(X0),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d4,plain,
X0 = add(inverse(n1),multiply(X0,n1)),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
multiply(multiply(X1,add(X0,X2)),multiply(X2,X1)) = multiply(X2,X1),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d6,plain,
multiply(X1,add(add(X0,X1),X2)) = add(X1,multiply(X2,X1)),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d7,plain,
multiply(add(X0,multiply(X2,X0)),multiply(X2,X0)) = multiply(X2,X0),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
multiply(X1,X0) = multiply(X1,X0),
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
X1 = multiply(add(X0,X1),X1),
inference(superposition,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
add(X0,n1) = add(inverse(n1),n1),
inference(superposition,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
add(X1,n1) = add(X0,n1),
inference(superposition,[status(thm)],[d10,d10]) ).
cnf(d12,plain,
multiply(X1,n1) = add(X1,multiply(inverse(add(X0,X1)),X1)),
inference(superposition,[status(thm)],[c2,d6]) ).
cnf(d13,plain,
multiply(X1,add(X2,n1)) = add(X1,multiply(n1,X1)),
inference(superposition,[status(thm)],[d11,d6]) ).
cnf(d14,plain,
multiply(X0,add(X2,n1)) = multiply(X0,add(X1,n1)),
inference(superposition,[status(thm)],[d13,d13]) ).
cnf(d15,plain,
multiply(add(X1,n1),n1) = add(add(X1,n1),multiply(inverse(add(X0,add(X1,n1))),add(X2,n1))),
inference(superposition,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
n1 = add(add(X0,n1),multiply(inverse(add(X1,add(X0,n1))),add(X2,n1))),
inference(demodulation,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
multiply(X1,add(X2,add(X0,X1))) = add(multiply(X2,X1),X1),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d18,plain,
add(X1,n1) = multiply(add(X0,add(X1,n1)),add(X2,n1)),
inference(superposition,[status(thm)],[d14,d9]) ).
cnf(d19,plain,
add(X1,n1) = add(add(X0,add(X1,n1)),multiply(n1,add(X0,add(X1,n1)))),
inference(superposition,[status(thm)],[d18,d13]) ).
cnf(d20,plain,
add(X1,n1) = add(add(X0,add(X1,n1)),add(multiply(X0,n1),n1)),
inference(demodulation,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
add(X2,n1) = add(add(X0,add(X2,n1)),add(X1,n1)),
inference(superposition,[status(thm)],[d11,d20]) ).
cnf(d22,plain,
add(X0,n1) = add(add(X2,add(X1,n1)),add(X3,n1)),
inference(superposition,[status(thm)],[d11,d21]) ).
cnf(d23,plain,
n1 = add(add(X2,n1),multiply(inverse(add(X3,n1)),add(X4,n1))),
inference(superposition,[status(thm)],[d22,d16]) ).
cnf(d24,plain,
multiply(inverse(X0),add(n1,X1)) = add(inverse(X0),multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[d3,c1]) ).
cnf(d25,plain,
multiply(inverse(X0),add(n1,n1)) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[d3,d24]) ).
cnf(d26,plain,
add(inverse(X0),inverse(X0)) = multiply(inverse(X0),add(n1,n1)),
inference(superposition,[status(thm)],[d25,d8]) ).
cnf(d27,plain,
add(inverse(X1),inverse(X1)) = multiply(inverse(X1),add(X0,n1)),
inference(superposition,[status(thm)],[d11,d26]) ).
cnf(d28,plain,
n1 = add(add(X2,n1),add(inverse(add(X0,n1)),inverse(add(X0,n1)))),
inference(superposition,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
n1 = add(add(X2,n1),add(inverse(add(X1,n1)),inverse(add(X0,n1)))),
inference(superposition,[status(thm)],[d11,d28]) ).
cnf(d30,plain,
add(X0,multiply(X2,X0)) = multiply(X0,add(add(X1,X0),X2)),
inference(superposition,[status(thm)],[d6,d8]) ).
cnf(d31,plain,
add(X2,n1) = add(add(X1,n1),add(X3,n1)),
inference(superposition,[status(thm)],[d21,d21]) ).
cnf(d32,plain,
add(n1,multiply(add(X1,n1),n1)) = multiply(n1,add(X2,n1)),
inference(superposition,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
add(n1,n1) = multiply(n1,add(X1,n1)),
inference(demodulation,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
multiply(inverse(X1),add(X0,n1)) = add(inverse(X1),inverse(X1)),
inference(superposition,[status(thm)],[d11,d25]) ).
cnf(d35,plain,
multiply(multiply(X1,n1),multiply(inverse(X0),X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c2,d5]) ).
cnf(d36,plain,
multiply(n1,multiply(inverse(X1),add(X0,n1))) = multiply(inverse(X1),add(X0,n1)),
inference(superposition,[status(thm)],[c0,d35]) ).
cnf(d37,plain,
multiply(n1,add(inverse(X0),inverse(X0))) = multiply(inverse(X0),add(X1,n1)),
inference(superposition,[status(thm)],[d27,d36]) ).
cnf(d38,plain,
multiply(n1,add(inverse(X0),inverse(X0))) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[d37,d34]) ).
cnf(d39,plain,
multiply(multiply(inverse(X1),X0),add(X2,multiply(X0,n1))) = add(multiply(X2,multiply(inverse(X1),X0)),multiply(inverse(X1),X0)),
inference(superposition,[status(thm)],[d35,c1]) ).
cnf(d40,plain,
multiply(add(X1,X2),multiply(X2,add(X0,add(X1,X2)))) = multiply(X2,add(X0,add(X1,X2))),
inference(superposition,[status(thm)],[c0,d5]) ).
cnf(d41,plain,
multiply(add(X2,X0),add(multiply(X1,X0),X0)) = multiply(X0,add(X1,add(X2,X0))),
inference(demodulation,[status(thm)],[d40,d17]) ).
cnf(d42,plain,
multiply(add(X2,X0),add(multiply(X1,X0),X0)) = add(multiply(X1,X0),X0),
inference(demodulation,[status(thm)],[d41,d17]) ).
cnf(d43,plain,
multiply(add(X2,X1),add(X1,X1)) = add(multiply(add(X0,X1),X1),X1),
inference(superposition,[status(thm)],[d9,d42]) ).
cnf(d44,plain,
multiply(add(X2,X1),add(X1,X1)) = add(X1,X1),
inference(demodulation,[status(thm)],[d43,c0]) ).
cnf(d45,plain,
multiply(inverse(X1),X0) = multiply(multiply(X0,n1),multiply(inverse(X1),X0)),
inference(superposition,[status(thm)],[d35,d8]) ).
cnf(d46,plain,
multiply(add(X2,multiply(inverse(X1),X0)),add(multiply(inverse(X1),X0),multiply(inverse(X1),X0))) = add(multiply(multiply(X0,n1),multiply(inverse(X1),X0)),multiply(inverse(X1),X0)),
inference(superposition,[status(thm)],[d45,d42]) ).
cnf(d47,plain,
add(multiply(inverse(X1),X2),multiply(inverse(X1),X2)) = add(multiply(multiply(X2,n1),multiply(inverse(X1),X2)),multiply(inverse(X1),X2)),
inference(demodulation,[status(thm)],[d46,d44]) ).
cnf(d48,plain,
multiply(X1,add(inverse(X0),inverse(X0))) = add(multiply(multiply(X1,n1),multiply(inverse(X0),X1)),multiply(inverse(X0),X1)),
inference(demodulation,[status(thm)],[d47,c1]) ).
cnf(d49,plain,
multiply(X0,add(inverse(X1),inverse(X1))) = multiply(multiply(inverse(X1),X0),add(multiply(X0,n1),multiply(X0,n1))),
inference(demodulation,[status(thm)],[d48,d39]) ).
cnf(d50,plain,
multiply(X0,add(inverse(X1),inverse(X1))) = multiply(multiply(inverse(X1),X0),multiply(n1,add(X0,X0))),
inference(demodulation,[status(thm)],[d49,c1]) ).
cnf(d51,plain,
multiply(multiply(inverse(X0),n1),multiply(n1,add(n1,n1))) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[d50,d38]) ).
cnf(d52,plain,
multiply(multiply(inverse(X0),n1),add(n1,n1)) = add(inverse(X0),inverse(X0)),
inference(demodulation,[status(thm)],[d51,d33]) ).
cnf(d53,plain,
add(inverse(X0),inverse(X0)) = multiply(multiply(inverse(X0),n1),add(X1,n1)),
inference(superposition,[status(thm)],[d52,d14]) ).
cnf(d54,plain,
n1 = add(add(X2,n1),multiply(multiply(inverse(add(X0,n1)),n1),add(X1,n1))),
inference(superposition,[status(thm)],[d53,d29]) ).
cnf(d55,plain,
multiply(add(X0,n1),add(n1,X1)) = add(add(n1,n1),multiply(X1,add(X0,n1))),
inference(superposition,[status(thm)],[d33,c1]) ).
cnf(d56,plain,
n1 = multiply(add(X1,n1),add(n1,multiply(inverse(add(X0,n1)),n1))),
inference(superposition,[status(thm)],[d55,d54]) ).
cnf(d57,plain,
n1 = multiply(add(X1,n1),multiply(n1,n1)),
inference(demodulation,[status(thm)],[d56,d12]) ).
cnf(d58,plain,
multiply(X2,X0) = multiply(multiply(X0,add(X1,X2)),multiply(X2,X0)),
inference(superposition,[status(thm)],[d5,d8]) ).
cnf(d59,plain,
multiply(n1,n1) = multiply(add(n1,n1),multiply(n1,n1)),
inference(superposition,[status(thm)],[d33,d58]) ).
cnf(d60,plain,
multiply(n1,n1) = multiply(add(X0,n1),multiply(n1,n1)),
inference(superposition,[status(thm)],[d11,d59]) ).
cnf(d61,plain,
multiply(n1,n1) = n1,
inference(demodulation,[status(thm)],[d60,d57]) ).
cnf(d62,plain,
n1 = add(inverse(n1),n1),
inference(superposition,[status(thm)],[d61,d4]) ).
cnf(d63,plain,
add(X0,n1) = n1,
inference(superposition,[status(thm)],[d62,d11]) ).
cnf(d64,plain,
add(X1,multiply(n1,X1)) = multiply(X1,add(X2,n1)),
inference(superposition,[status(thm)],[d11,d30]) ).
cnf(d65,plain,
add(X0,multiply(n1,X0)) = multiply(X0,n1),
inference(superposition,[status(thm)],[d62,d64]) ).
cnf(d66,plain,
multiply(multiply(inverse(X0),n1),add(X1,n1)) = multiply(inverse(X0),add(X2,n1)),
inference(superposition,[status(thm)],[d53,d27]) ).
cnf(d67,plain,
multiply(multiply(inverse(X1),n1),n1) = multiply(inverse(X1),add(X2,n1)),
inference(demodulation,[status(thm)],[d66,d63]) ).
cnf(d68,plain,
multiply(multiply(inverse(X1),n1),n1) = multiply(inverse(X1),n1),
inference(demodulation,[status(thm)],[d67,d63]) ).
cnf(d69,plain,
multiply(inverse(X0),n1) = add(inverse(n1),multiply(inverse(X0),n1)),
inference(superposition,[status(thm)],[d68,d4]) ).
cnf(d70,plain,
multiply(inverse(X0),n1) = inverse(X0),
inference(demodulation,[status(thm)],[d69,d4]) ).
cnf(d71,plain,
add(inverse(X0),inverse(X0)) = multiply(inverse(X0),n1),
inference(superposition,[status(thm)],[d62,d27]) ).
cnf(d72,plain,
add(inverse(X0),inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[d71,d70]) ).
cnf(d73,plain,
multiply(add(add(X1,X0),X2),add(X3,X0)) = add(multiply(X3,add(add(X1,X0),X2)),add(X0,multiply(X2,X0))),
inference(superposition,[status(thm)],[d6,c1]) ).
cnf(d74,plain,
multiply(add(add(X1,X2),n1),add(inverse(X0),X2)) = add(add(inverse(X0),inverse(X0)),add(X2,multiply(n1,X2))),
inference(superposition,[status(thm)],[d27,d73]) ).
cnf(d75,plain,
multiply(n1,add(inverse(X2),X1)) = add(add(inverse(X2),inverse(X2)),add(X1,multiply(n1,X1))),
inference(demodulation,[status(thm)],[d74,d63]) ).
cnf(d76,plain,
multiply(n1,add(inverse(X0),X1)) = add(inverse(X0),add(X1,multiply(n1,X1))),
inference(demodulation,[status(thm)],[d75,d72]) ).
cnf(d77,plain,
multiply(n1,add(inverse(X1),X0)) = add(inverse(X1),multiply(X0,n1)),
inference(demodulation,[status(thm)],[d76,d65]) ).
cnf(d78,plain,
X0 = multiply(n1,add(inverse(n1),X0)),
inference(demodulation,[status(thm)],[d4,d77]) ).
cnf(d79,plain,
multiply(X0,n1) = multiply(n1,multiply(n1,add(inverse(n1),X0))),
inference(superposition,[status(thm)],[d77,d78]) ).
cnf(d80,plain,
multiply(X0,n1) = multiply(n1,X0),
inference(demodulation,[status(thm)],[d79,d78]) ).
cnf(d81,plain,
X0 = add(multiply(X1,inverse(X1)),multiply(n1,X0)),
inference(superposition,[status(thm)],[d80,d2]) ).
cnf(d82,plain,
X0 = add(inverse(n1),multiply(n1,X0)),
inference(superposition,[status(thm)],[d3,d81]) ).
cnf(d83,plain,
pixley(n1,X0,X1) = add(inverse(X0),multiply(X1,add(n1,inverse(X0)))),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d84,plain,
multiply(n1,add(n1,X0)) = add(n1,multiply(X0,n1)),
inference(superposition,[status(thm)],[d61,c1]) ).
cnf(d85,plain,
multiply(n1,add(n1,inverse(X0))) = add(n1,inverse(X0)),
inference(superposition,[status(thm)],[d70,d84]) ).
cnf(d86,plain,
pixley(n1,X0,n1) = add(inverse(X0),add(n1,inverse(X0))),
inference(superposition,[status(thm)],[d85,d83]) ).
cnf(d87,plain,
n1 = add(inverse(X0),add(n1,inverse(X0))),
inference(demodulation,[status(thm)],[d86,c6]) ).
cnf(d88,plain,
multiply(add(add(X2,add(X1,n1)),inverse(X0)),add(X3,add(X1,n1))) = add(multiply(X3,add(add(X2,add(X1,n1)),inverse(X0))),add(add(X1,n1),add(inverse(X0),inverse(X0)))),
inference(superposition,[status(thm)],[d27,d73]) ).
cnf(d89,plain,
multiply(add(add(X1,n1),inverse(X2)),add(X3,add(X0,n1))) = add(multiply(X3,add(add(X1,add(X0,n1)),inverse(X2))),add(add(X0,n1),add(inverse(X2),inverse(X2)))),
inference(demodulation,[status(thm)],[d88,d63]) ).
cnf(d90,plain,
multiply(add(n1,inverse(X1)),add(X2,add(X3,n1))) = add(multiply(X2,add(add(X0,add(X3,n1)),inverse(X1))),add(add(X3,n1),add(inverse(X1),inverse(X1)))),
inference(demodulation,[status(thm)],[d89,d63]) ).
cnf(d91,plain,
multiply(add(n1,inverse(X1)),add(X2,n1)) = add(multiply(X2,add(add(X3,add(X0,n1)),inverse(X1))),add(add(X0,n1),add(inverse(X1),inverse(X1)))),
inference(demodulation,[status(thm)],[d90,d63]) ).
cnf(d92,plain,
multiply(add(n1,inverse(X1)),n1) = add(multiply(X0,add(add(X2,add(X3,n1)),inverse(X1))),add(add(X3,n1),add(inverse(X1),inverse(X1)))),
inference(demodulation,[status(thm)],[d91,d63]) ).
cnf(d93,plain,
multiply(n1,add(n1,inverse(X0))) = add(multiply(X1,add(add(X2,add(X3,n1)),inverse(X0))),add(add(X3,n1),add(inverse(X0),inverse(X0)))),
inference(demodulation,[status(thm)],[d92,d80]) ).
cnf(d94,plain,
add(n1,inverse(X0)) = add(multiply(X1,add(add(X2,add(X3,n1)),inverse(X0))),add(add(X3,n1),add(inverse(X0),inverse(X0)))),
inference(demodulation,[status(thm)],[d93,d85]) ).
cnf(d95,plain,
add(n1,inverse(X1)) = add(multiply(X2,add(add(X3,n1),inverse(X1))),add(add(X0,n1),add(inverse(X1),inverse(X1)))),
inference(demodulation,[status(thm)],[d94,d63]) ).
cnf(d96,plain,
add(n1,inverse(X1)) = add(multiply(X2,add(n1,inverse(X1))),add(add(X3,n1),add(inverse(X1),inverse(X1)))),
inference(demodulation,[status(thm)],[d95,d63]) ).
cnf(d97,plain,
add(n1,inverse(X1)) = add(multiply(X2,add(n1,inverse(X1))),add(n1,add(inverse(X1),inverse(X1)))),
inference(demodulation,[status(thm)],[d96,d63]) ).
cnf(d98,plain,
add(n1,inverse(X0)) = add(multiply(X1,add(n1,inverse(X0))),add(n1,inverse(X0))),
inference(demodulation,[status(thm)],[d97,d72]) ).
cnf(d99,plain,
add(inverse(X0),multiply(X1,inverse(X0))) = multiply(inverse(X0),add(n1,X1)),
inference(superposition,[status(thm)],[c2,d30]) ).
cnf(d100,plain,
multiply(multiply(X3,multiply(X1,add(X0,X2))),multiply(multiply(X2,X1),X3)) = multiply(multiply(X2,X1),X3),
inference(superposition,[status(thm)],[c1,d5]) ).
cnf(d101,plain,
multiply(multiply(X3,add(X1,X2)),multiply(multiply(X2,add(X0,add(X1,X2))),X3)) = multiply(multiply(X2,add(X0,add(X1,X2))),X3),
inference(superposition,[status(thm)],[d9,d100]) ).
cnf(d102,plain,
multiply(multiply(X3,add(X2,X0)),multiply(add(multiply(X1,X0),X0),X3)) = multiply(multiply(X0,add(X1,add(X2,X0))),X3),
inference(demodulation,[status(thm)],[d101,d17]) ).
cnf(d103,plain,
multiply(multiply(X3,add(X2,X0)),multiply(add(multiply(X1,X0),X0),X3)) = multiply(add(multiply(X1,X0),X0),X3),
inference(demodulation,[status(thm)],[d102,d17]) ).
cnf(d104,plain,
multiply(multiply(X1,add(X2,X1)),X1) = multiply(add(multiply(X0,X1),X1),X1),
inference(superposition,[status(thm)],[d9,d103]) ).
cnf(d105,plain,
multiply(multiply(X1,add(X2,X1)),X1) = X1,
inference(demodulation,[status(thm)],[d104,c0]) ).
cnf(d106,plain,
multiply(multiply(inverse(X0),n1),inverse(X0)) = inverse(X0),
inference(superposition,[status(thm)],[c2,d105]) ).
cnf(d107,plain,
multiply(multiply(X1,n1),X2) = multiply(multiply(X2,X1),multiply(multiply(X1,n1),X2)),
inference(superposition,[status(thm)],[d2,d58]) ).
cnf(d108,plain,
multiply(multiply(inverse(X0),n1),inverse(X0)) = multiply(multiply(inverse(X0),inverse(X0)),inverse(X0)),
inference(superposition,[status(thm)],[d106,d107]) ).
cnf(d109,plain,
inverse(X0) = multiply(multiply(inverse(X0),inverse(X0)),inverse(X0)),
inference(demodulation,[status(thm)],[d108,d106]) ).
cnf(d110,plain,
multiply(multiply(X2,X1),multiply(multiply(X1,n1),X2)) = multiply(multiply(X1,n1),X2),
inference(superposition,[status(thm)],[d2,d5]) ).
cnf(d111,plain,
multiply(multiply(inverse(X0),inverse(X0)),inverse(X0)) = multiply(multiply(inverse(X0),n1),inverse(X0)),
inference(superposition,[status(thm)],[d106,d110]) ).
cnf(d112,plain,
inverse(X0) = multiply(multiply(inverse(X0),n1),inverse(X0)),
inference(demodulation,[status(thm)],[d111,d109]) ).
cnf(d113,plain,
inverse(X0) = multiply(inverse(X0),inverse(X0)),
inference(demodulation,[status(thm)],[d112,d70]) ).
cnf(d114,plain,
add(inverse(X0),inverse(X0)) = multiply(inverse(X0),add(n1,inverse(X0))),
inference(superposition,[status(thm)],[d113,d99]) ).
cnf(d115,plain,
inverse(X0) = multiply(inverse(X0),add(n1,inverse(X0))),
inference(demodulation,[status(thm)],[d114,d72]) ).
cnf(d116,plain,
add(n1,inverse(X0)) = add(inverse(X0),add(n1,inverse(X0))),
inference(superposition,[status(thm)],[d115,d98]) ).
cnf(d117,plain,
add(n1,inverse(X0)) = n1,
inference(demodulation,[status(thm)],[d116,d87]) ).
cnf(d118,plain,
pixley(n1,X0,X1) = add(inverse(X0),multiply(X1,n1)),
inference(demodulation,[status(thm)],[d83,d117]) ).
cnf(d119,plain,
multiply(n1,add(inverse(X0),X1)) = pixley(n1,X0,X1),
inference(demodulation,[status(thm)],[d77,d118]) ).
cnf(d120,plain,
add(inverse(X0),X1) = add(inverse(n1),pixley(n1,X0,X1)),
inference(superposition,[status(thm)],[d119,d82]) ).
cnf(d121,plain,
add(inverse(X0),X0) = add(inverse(n1),n1),
inference(superposition,[status(thm)],[c5,d120]) ).
cnf(d122,plain,
add(inverse(X0),X0) = n1,
inference(demodulation,[status(thm)],[d121,d63]) ).
cnf(d123,plain,
multiply(n1,X0) = X0,
inference(superposition,[status(thm)],[d122,c0]) ).
cnf(d124,plain,
multiply(X1,multiply(X1,n1)) = multiply(X1,n1),
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d125,plain,
multiply(X0,multiply(n1,X0)) = multiply(X0,n1),
inference(superposition,[status(thm)],[d80,d124]) ).
cnf(d126,plain,
multiply(X1,multiply(n1,X1)) = multiply(n1,X1),
inference(superposition,[status(thm)],[d81,c0]) ).
cnf(d127,plain,
multiply(n1,X0) = multiply(X0,n1),
inference(superposition,[status(thm)],[d126,d125]) ).
cnf(d128,plain,
X0 = multiply(X0,n1),
inference(demodulation,[status(thm)],[d127,d123]) ).
cnf(d129,plain,
add(X0,multiply(X0,n1)) = multiply(X0,n1),
inference(superposition,[status(thm)],[d80,d65]) ).
cnf(d130,plain,
add(X0,X0) = multiply(X0,n1),
inference(demodulation,[status(thm)],[d129,d128]) ).
cnf(d131,plain,
add(X0,X0) = X0,
inference(demodulation,[status(thm)],[d130,d128]) ).
cnf(d132,plain,
multiply(X1,add(X0,X0)) = multiply(X0,X1),
inference(superposition,[status(thm)],[d131,c1]) ).
cnf(d133,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d132,d131]) ).
cnf(d134,plain,
X1 = multiply(X1,add(X0,X1)),
inference(demodulation,[status(thm)],[d9,d133]) ).
cnf(d135,plain,
multiply(X0,add(X2,multiply(X0,add(X1,X0)))) = add(multiply(X2,X0),X0),
inference(superposition,[status(thm)],[d105,c1]) ).
cnf(d136,plain,
multiply(X0,add(X2,X0)) = add(multiply(X2,X0),X0),
inference(demodulation,[status(thm)],[d135,d134]) ).
cnf(d137,plain,
X0 = add(multiply(X1,X0),X0),
inference(demodulation,[status(thm)],[d136,d134]) ).
cnf(d138,plain,
X1 = add(multiply(X1,X0),X1),
inference(superposition,[status(thm)],[d133,d137]) ).
cnf(d139,plain,
add(multiply(b,a),b) != b,
inference(demodulation,[status(thm)],[c7,d133]) ).
cnf(d140,plain,
b != b,
inference(demodulation,[status(thm)],[d139,d138]) ).
cnf(d141,plain,
multiply(add(X0,X1),X1) = multiply(multiply(X1,add(X2,add(X0,X1))),X1),
inference(superposition,[status(thm)],[d9,d58]) ).
cnf(d142,plain,
X1 = multiply(multiply(X1,add(X2,add(X0,X1))),X1),
inference(demodulation,[status(thm)],[d141,c0]) ).
cnf(d143,plain,
X0 = multiply(add(multiply(X1,X0),X0),X0),
inference(demodulation,[status(thm)],[d142,d17]) ).
cnf(d144,plain,
X1 = X1,
inference(demodulation,[status(thm)],[d143,c0]) ).
cnf(d145,plain,
$false,
inference(resolution,[status(thm)],[d144,d140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO024-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 22:40:11 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 108.37/22.57 % SZS status Unsatisfiable for theBenchmark.p
% 108.37/22.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------