%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO026-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 06:54:43 AM UTC 2026
% Result : Unsatisfiable 51.93s 7.28s
% Output : CNFRefutation 51.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 9
% Syntax : Number of clauses : 190 ( 190 unt; 0 nHn; 42 RR)
% Number of literals : 190 ( 189 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; 4 con; 0-2 aty)
% Number of variables : 203 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
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(add_multiply_property,axiom,
add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)) ).
cnf(multiplicative_inverse,axiom,
multiply(X0,inverse(X0)) = n0 ).
cnf(pixley1,axiom,
add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1 ).
cnf(pixley2,axiom,
add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0 ).
cnf(pixley1_dual,axiom,
multiply(add(X0,inverse(X0)),multiply(add(X0,X1),add(inverse(X0),X1))) = X1 ).
cnf(pixley2_dual,axiom,
multiply(add(X0,inverse(X1)),multiply(add(X0,X1),add(inverse(X1),X1))) = X0 ).
cnf(prove_multiply_add,negated_conjecture,
multiply(add(a,b),b) != b ).
cnf(c0,plain,
multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
inference(clausification,[status(esa)],[multiply_add_property]) ).
cnf(c1,plain,
add(X0,inverse(X0)) = n1,
inference(clausification,[status(esa)],[additive_inverse]) ).
cnf(c2,plain,
add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
inference(clausification,[status(esa)],[add_multiply_property]) ).
cnf(c3,plain,
multiply(X0,inverse(X0)) = n0,
inference(clausification,[status(esa)],[multiplicative_inverse]) ).
cnf(c4,plain,
add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
inference(clausification,[status(esa)],[pixley1]) ).
cnf(c5,plain,
add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
inference(clausification,[status(esa)],[pixley2]) ).
cnf(c7,plain,
multiply(add(X0,inverse(X0)),multiply(add(X0,X1),add(inverse(X0),X1))) = X1,
inference(clausification,[status(esa)],[pixley1_dual]) ).
cnf(c8,plain,
multiply(add(X0,inverse(X1)),multiply(add(X0,X1),add(inverse(X1),X1))) = X0,
inference(clausification,[status(esa)],[pixley2_dual]) ).
cnf(c10,plain,
multiply(add(a,b),b) != b,
inference(clausification,[status(esa)],[prove_multiply_add]) ).
cnf(d0,plain,
multiply(n1,multiply(add(X0,X1),add(inverse(X0),X1))) = X1,
inference(demodulation,[status(thm)],[c7,c1]) ).
cnf(d1,plain,
multiply(n1,add(X1,multiply(X0,inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
multiply(n1,add(X1,n0)) = X1,
inference(demodulation,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
add(n0,add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
inference(demodulation,[status(thm)],[c4,c3]) ).
cnf(d4,plain,
add(n0,multiply(X1,add(X0,inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
add(n0,multiply(X1,n1)) = X1,
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
add(multiply(X0,n1),multiply(n0,X1)) = multiply(X0,add(X1,multiply(X0,n1))),
inference(superposition,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
multiply(n1,add(X0,n0)) = multiply(X0,add(n1,multiply(X0,n1))),
inference(superposition,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
X0 = multiply(X0,add(n1,multiply(X0,n1))),
inference(demodulation,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
multiply(add(X0,n0),add(n1,X1)) = add(X0,multiply(X1,add(X0,n0))),
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d10,plain,
multiply(add(X2,X1),add(add(X0,X1),X3)) = add(add(X1,multiply(X0,X2)),multiply(X3,add(X2,X1))),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d11,plain,
multiply(add(n1,n0),add(add(X0,n0),X1)) = add(X0,multiply(X1,add(n1,n0))),
inference(superposition,[status(thm)],[d5,d10]) ).
cnf(d12,plain,
add(n0,multiply(n1,add(X0,n0))) = add(X0,multiply(n0,add(n1,n0))),
inference(superposition,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
add(n0,X0) = add(X0,multiply(n0,add(n1,n0))),
inference(demodulation,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
multiply(add(n1,n0),add(n1,n0)) = add(n0,n1),
inference(superposition,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
add(n0,multiply(n1,n1)) = add(n0,n1),
inference(demodulation,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
n1 = add(n0,n1),
inference(demodulation,[status(thm)],[d15,d5]) ).
cnf(d17,plain,
multiply(inverse(X0),add(X0,X1)) = add(n0,multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d18,plain,
multiply(add(n1,n0),add(X0,n0)) = add(n0,multiply(X0,add(n1,n0))),
inference(superposition,[status(thm)],[d13,c0]) ).
cnf(d19,plain,
add(n0,multiply(n1,X0)) = add(n0,multiply(X0,add(n1,n0))),
inference(demodulation,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
multiply(inverse(X0),add(X1,X0)) = add(multiply(X1,inverse(X0)),n0),
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d21,plain,
add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c5,c0]) ).
cnf(d22,plain,
add(n1,multiply(X0,n0)) = multiply(add(X0,n1),n1),
inference(superposition,[status(thm)],[d16,c2]) ).
cnf(d23,plain,
add(n1,multiply(n0,X0)) = multiply(n1,add(X0,n1)),
inference(superposition,[status(thm)],[d16,c2]) ).
cnf(d24,plain,
add(multiply(X2,X1),multiply(multiply(X0,X1),X3)) = multiply(multiply(X1,add(X0,X2)),add(X3,multiply(X2,X1))),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d25,plain,
add(multiply(n0,n1),multiply(multiply(X0,n1),X1)) = multiply(X0,add(X1,multiply(n0,n1))),
inference(superposition,[status(thm)],[d2,d24]) ).
cnf(d26,plain,
multiply(n1,add(n0,multiply(X0,n1))) = multiply(X0,add(n1,multiply(n0,n1))),
inference(superposition,[status(thm)],[d25,c0]) ).
cnf(d27,plain,
multiply(n1,X0) = multiply(X0,add(n1,multiply(n0,n1))),
inference(demodulation,[status(thm)],[d26,d5]) ).
cnf(d28,plain,
multiply(n1,X0) = multiply(X0,multiply(n1,add(n1,n1))),
inference(demodulation,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
n0 = multiply(n0,multiply(n1,add(n1,n1))),
inference(superposition,[status(thm)],[d23,d8]) ).
cnf(d30,plain,
n0 = multiply(n1,n0),
inference(demodulation,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
add(n1,n0) = multiply(add(n1,n1),n1),
inference(superposition,[status(thm)],[d30,d22]) ).
cnf(d32,plain,
multiply(n1,add(add(n1,n1),X0)) = add(add(n1,n0),multiply(X0,n1)),
inference(superposition,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
add(n0,multiply(X0,n1)) = multiply(X0,add(add(n1,n0),multiply(X0,n1))),
inference(superposition,[status(thm)],[d13,d6]) ).
cnf(d34,plain,
X0 = multiply(X0,add(add(n1,n0),multiply(X0,n1))),
inference(demodulation,[status(thm)],[d33,d5]) ).
cnf(d35,plain,
X0 = multiply(X0,multiply(n1,add(add(n1,n1),X0))),
inference(demodulation,[status(thm)],[d34,d32]) ).
cnf(d36,plain,
n0 = multiply(n0,add(n1,n1)),
inference(superposition,[status(thm)],[d2,d35]) ).
cnf(d37,plain,
multiply(add(X0,n0),add(n1,n1)) = add(X0,X0),
inference(superposition,[status(thm)],[d2,d9]) ).
cnf(d38,plain,
multiply(add(multiply(X0,X1),n0),add(n1,n1)) = multiply(X1,add(X0,X0)),
inference(superposition,[status(thm)],[c0,d37]) ).
cnf(d39,plain,
multiply(add(n0,n0),add(n1,n1)) = multiply(n0,add(n1,n1)),
inference(superposition,[status(thm)],[d30,d38]) ).
cnf(d40,plain,
add(n0,n0) = multiply(n0,add(n1,n1)),
inference(demodulation,[status(thm)],[d39,d37]) ).
cnf(d41,plain,
add(n0,n0) = n0,
inference(demodulation,[status(thm)],[d40,d36]) ).
cnf(d42,plain,
multiply(inverse(X0),add(X0,X0)) = add(n0,n0),
inference(superposition,[status(thm)],[c3,d17]) ).
cnf(d43,plain,
multiply(add(n0,n0),add(n1,inverse(n0))) = add(n0,add(n0,n0)),
inference(superposition,[status(thm)],[d42,d9]) ).
cnf(d44,plain,
multiply(n0,add(n1,inverse(n0))) = add(n0,add(n0,n0)),
inference(demodulation,[status(thm)],[d43,d41]) ).
cnf(d45,plain,
multiply(n0,add(n1,inverse(n0))) = add(n0,n0),
inference(demodulation,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
multiply(n0,add(n1,inverse(n0))) = n0,
inference(demodulation,[status(thm)],[d45,d41]) ).
cnf(d47,plain,
add(multiply(n1,inverse(n0)),n0) = n1,
inference(superposition,[status(thm)],[d46,d21]) ).
cnf(d48,plain,
multiply(inverse(n0),add(n1,n0)) = n1,
inference(demodulation,[status(thm)],[d47,d20]) ).
cnf(d49,plain,
add(n0,multiply(n1,inverse(n0))) = add(n0,n1),
inference(superposition,[status(thm)],[d48,d19]) ).
cnf(d50,plain,
multiply(inverse(n0),add(n0,n1)) = add(n0,n1),
inference(demodulation,[status(thm)],[d49,d17]) ).
cnf(d51,plain,
multiply(inverse(n0),n1) = add(n0,n1),
inference(demodulation,[status(thm)],[d50,d16]) ).
cnf(d52,plain,
multiply(inverse(n0),n1) = n1,
inference(demodulation,[status(thm)],[d51,d16]) ).
cnf(d53,plain,
add(n0,n1) = inverse(n0),
inference(superposition,[status(thm)],[d52,d5]) ).
cnf(d54,plain,
n1 = inverse(n0),
inference(demodulation,[status(thm)],[d53,d16]) ).
cnf(d55,plain,
multiply(n1,n1) = n1,
inference(demodulation,[status(thm)],[d52,d54]) ).
cnf(d56,plain,
n1 = multiply(n1,add(n1,n1)),
inference(superposition,[status(thm)],[d55,d8]) ).
cnf(d57,plain,
multiply(n1,X0) = multiply(X0,n1),
inference(demodulation,[status(thm)],[d28,d56]) ).
cnf(d58,plain,
add(n1,n0) = multiply(n1,add(add(n1,multiply(n0,n1)),n1)),
inference(superposition,[status(thm)],[d8,d23]) ).
cnf(d59,plain,
add(n1,n0) = multiply(n1,add(multiply(n1,add(n1,n1)),n1)),
inference(demodulation,[status(thm)],[d58,d23]) ).
cnf(d60,plain,
add(n1,n0) = multiply(n1,add(n1,n1)),
inference(demodulation,[status(thm)],[d59,d56]) ).
cnf(d61,plain,
add(n1,n0) = n1,
inference(demodulation,[status(thm)],[d60,d56]) ).
cnf(d62,plain,
add(n0,add(n1,n0)) = add(n1,n1),
inference(superposition,[status(thm)],[d31,d5]) ).
cnf(d63,plain,
add(n0,n1) = add(n1,n1),
inference(demodulation,[status(thm)],[d62,d61]) ).
cnf(d64,plain,
n1 = add(n1,n1),
inference(demodulation,[status(thm)],[d63,d16]) ).
cnf(d65,plain,
multiply(add(X0,n0),n1) = add(X0,X0),
inference(demodulation,[status(thm)],[d37,d64]) ).
cnf(d66,plain,
multiply(n1,add(X0,n0)) = add(X0,X0),
inference(demodulation,[status(thm)],[d65,d57]) ).
cnf(d67,plain,
X0 = add(X0,X0),
inference(demodulation,[status(thm)],[d66,d2]) ).
cnf(d68,plain,
multiply(X1,add(X0,X0)) = multiply(X0,X1),
inference(superposition,[status(thm)],[d67,c0]) ).
cnf(d69,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d68,d67]) ).
cnf(d70,plain,
add(n0,multiply(n1,X0)) = X0,
inference(superposition,[status(thm)],[d57,d5]) ).
cnf(d71,plain,
add(n0,X0) = add(X0,n0),
inference(superposition,[status(thm)],[d2,d70]) ).
cnf(d72,plain,
multiply(n0,n1) = n0,
inference(superposition,[status(thm)],[d54,c3]) ).
cnf(d73,plain,
X0 = add(multiply(X0,n1),multiply(n0,n1)),
inference(superposition,[status(thm)],[d6,d8]) ).
cnf(d74,plain,
X0 = multiply(n1,add(X0,n0)),
inference(demodulation,[status(thm)],[d73,c0]) ).
cnf(d75,plain,
multiply(n0,add(X0,n1)) = add(multiply(X0,n0),n0),
inference(superposition,[status(thm)],[d30,c0]) ).
cnf(d76,plain,
multiply(X0,n0) = multiply(n1,multiply(n0,add(X0,n1))),
inference(superposition,[status(thm)],[d75,d74]) ).
cnf(d77,plain,
multiply(n0,n0) = multiply(n1,multiply(n0,n1)),
inference(superposition,[status(thm)],[d16,d76]) ).
cnf(d78,plain,
multiply(n0,n0) = multiply(n1,n0),
inference(demodulation,[status(thm)],[d77,d72]) ).
cnf(d79,plain,
multiply(n0,n0) = n0,
inference(demodulation,[status(thm)],[d78,d30]) ).
cnf(d80,plain,
add(multiply(X0,n1),multiply(n0,n0)) = multiply(X0,X0),
inference(superposition,[status(thm)],[d5,d6]) ).
cnf(d81,plain,
multiply(X0,X0) = multiply(X0,add(n0,multiply(X0,n1))),
inference(superposition,[status(thm)],[d80,d6]) ).
cnf(d82,plain,
multiply(X0,X0) = multiply(X0,X0),
inference(demodulation,[status(thm)],[d81,d5]) ).
cnf(d83,plain,
multiply(X0,X0) = add(multiply(X0,n1),multiply(n0,n0)),
inference(superposition,[status(thm)],[d80,d82]) ).
cnf(d84,plain,
multiply(X0,X0) = add(multiply(X0,n1),n0),
inference(demodulation,[status(thm)],[d83,d79]) ).
cnf(d85,plain,
multiply(X0,X0) = add(n0,multiply(X0,n1)),
inference(demodulation,[status(thm)],[d84,d71]) ).
cnf(d86,plain,
multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[d85,d5]) ).
cnf(d87,plain,
add(X1,multiply(X0,X0)) = add(X0,X1),
inference(superposition,[status(thm)],[d86,c2]) ).
cnf(d88,plain,
add(X1,X0) = add(X0,X1),
inference(demodulation,[status(thm)],[d87,d86]) ).
cnf(d89,plain,
multiply(add(b,a),b) != b,
inference(demodulation,[status(thm)],[c10,d88]) ).
cnf(d90,plain,
multiply(b,add(b,a)) != b,
inference(demodulation,[status(thm)],[d89,d69]) ).
cnf(d91,plain,
X0 = multiply(n1,add(n0,X0)),
inference(superposition,[status(thm)],[d71,d74]) ).
cnf(d92,plain,
multiply(add(X0,inverse(X1)),add(X1,multiply(X0,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c8,c2]) ).
cnf(d93,plain,
multiply(add(X0,inverse(n0)),multiply(inverse(n0),add(n0,X0))) = X0,
inference(superposition,[status(thm)],[d17,d92]) ).
cnf(d94,plain,
multiply(add(X0,n1),multiply(inverse(n0),add(n0,X0))) = X0,
inference(demodulation,[status(thm)],[d93,d54]) ).
cnf(d95,plain,
multiply(add(X0,n1),multiply(n1,add(n0,X0))) = X0,
inference(demodulation,[status(thm)],[d94,d54]) ).
cnf(d96,plain,
multiply(add(X0,n1),X0) = X0,
inference(demodulation,[status(thm)],[d95,d91]) ).
cnf(d97,plain,
multiply(X0,add(X0,n1)) = X0,
inference(demodulation,[status(thm)],[d96,d69]) ).
cnf(d98,plain,
multiply(X0,add(X0,X1)) = add(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[d86,c0]) ).
cnf(d99,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(superposition,[status(thm)],[d67,c2]) ).
cnf(d100,plain,
multiply(n1,multiply(inverse(X1),add(X0,X1))) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[d20,d2]) ).
cnf(d101,plain,
multiply(n1,add(n0,n0)) = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[d42,d100]) ).
cnf(d102,plain,
n0 = multiply(X0,inverse(X0)),
inference(demodulation,[status(thm)],[d101,d2]) ).
cnf(d103,plain,
add(X0,n0) = multiply(X0,add(inverse(X0),X0)),
inference(superposition,[status(thm)],[d102,d99]) ).
cnf(d104,plain,
add(X0,n0) = multiply(X0,add(X0,inverse(X0))),
inference(demodulation,[status(thm)],[d103,d88]) ).
cnf(d105,plain,
add(X0,n0) = multiply(X0,n1),
inference(demodulation,[status(thm)],[d104,c1]) ).
cnf(d106,plain,
multiply(n1,multiply(X0,n1)) = X0,
inference(demodulation,[status(thm)],[d2,d105]) ).
cnf(d107,plain,
multiply(n1,multiply(n1,X0)) = X0,
inference(superposition,[status(thm)],[d69,d106]) ).
cnf(d108,plain,
multiply(X0,n1) = add(n0,X0),
inference(superposition,[status(thm)],[d105,d88]) ).
cnf(d109,plain,
multiply(inverse(X0),add(X0,X0)) = n0,
inference(demodulation,[status(thm)],[d42,d41]) ).
cnf(d110,plain,
multiply(inverse(X0),X0) = n0,
inference(demodulation,[status(thm)],[d109,d67]) ).
cnf(d111,plain,
add(multiply(X0,inverse(inverse(X0))),add(n0,multiply(inverse(inverse(X0)),inverse(X0)))) = X0,
inference(superposition,[status(thm)],[d17,d21]) ).
cnf(d112,plain,
add(multiply(X0,inverse(inverse(X0))),add(n0,n0)) = X0,
inference(demodulation,[status(thm)],[d111,d110]) ).
cnf(d113,plain,
add(add(n0,n0),multiply(X0,inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[d112,d88]) ).
cnf(d114,plain,
add(multiply(n0,n1),multiply(X0,inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[d113,d108]) ).
cnf(d115,plain,
add(multiply(n1,n0),multiply(X0,inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[d114,d69]) ).
cnf(d116,plain,
add(n0,multiply(X0,inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[d115,d30]) ).
cnf(d117,plain,
multiply(multiply(X0,inverse(inverse(X0))),n1) = X0,
inference(demodulation,[status(thm)],[d116,d108]) ).
cnf(d118,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[d117,d69]) ).
cnf(d119,plain,
X0 = multiply(n1,multiply(X0,n1)),
inference(demodulation,[status(thm)],[d74,d105]) ).
cnf(d120,plain,
add(n0,n0) = inverse(n1),
inference(superposition,[status(thm)],[d102,d70]) ).
cnf(d121,plain,
n0 = inverse(n1),
inference(demodulation,[status(thm)],[d120,d41]) ).
cnf(d122,plain,
add(inverse(X0),multiply(X0,X1)) = multiply(n1,add(X1,inverse(X0))),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d123,plain,
add(inverse(n1),X0) = multiply(n1,add(add(X0,n0),inverse(n1))),
inference(superposition,[status(thm)],[d2,d122]) ).
cnf(d124,plain,
multiply(inverse(inverse(X0)),n1) = add(multiply(X0,inverse(inverse(X0))),n0),
inference(superposition,[status(thm)],[c1,d20]) ).
cnf(d125,plain,
add(inverse(n1),multiply(X0,inverse(inverse(X0)))) = multiply(n1,add(multiply(inverse(inverse(X0)),n1),inverse(n1))),
inference(superposition,[status(thm)],[d124,d123]) ).
cnf(d126,plain,
add(n0,multiply(X0,inverse(inverse(X0)))) = multiply(n1,add(multiply(inverse(inverse(X0)),n1),inverse(n1))),
inference(demodulation,[status(thm)],[d125,d121]) ).
cnf(d127,plain,
multiply(multiply(X0,inverse(inverse(X0))),n1) = multiply(n1,add(multiply(inverse(inverse(X0)),n1),inverse(n1))),
inference(demodulation,[status(thm)],[d126,d108]) ).
cnf(d128,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = multiply(n1,add(multiply(inverse(inverse(X0)),n1),inverse(n1))),
inference(demodulation,[status(thm)],[d127,d69]) ).
cnf(d129,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = multiply(n1,add(inverse(n1),multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d128,d88]) ).
cnf(d130,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = multiply(n1,add(n0,multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d129,d121]) ).
cnf(d131,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = multiply(n1,multiply(multiply(inverse(inverse(X0)),n1),n1)),
inference(demodulation,[status(thm)],[d130,d108]) ).
cnf(d132,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = multiply(inverse(inverse(X0)),n1),
inference(demodulation,[status(thm)],[d131,d119]) ).
cnf(d133,plain,
multiply(n1,multiply(X0,inverse(inverse(X0)))) = multiply(n1,inverse(inverse(X0))),
inference(demodulation,[status(thm)],[d132,d69]) ).
cnf(d134,plain,
X0 = multiply(n1,inverse(inverse(X0))),
inference(demodulation,[status(thm)],[d133,d118]) ).
cnf(d135,plain,
multiply(n1,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d134,d107]) ).
cnf(d136,plain,
multiply(n1,multiply(inverse(inverse(X0)),n1)) = multiply(X0,inverse(inverse(X0))),
inference(superposition,[status(thm)],[d124,d2]) ).
cnf(d137,plain,
add(multiply(n1,multiply(inverse(inverse(X0)),n1)),multiply(inverse(X0),add(X0,inverse(inverse(X0))))) = X0,
inference(superposition,[status(thm)],[d136,d21]) ).
cnf(d138,plain,
add(inverse(inverse(X0)),multiply(inverse(X0),add(X0,inverse(inverse(X0))))) = X0,
inference(demodulation,[status(thm)],[d137,d119]) ).
cnf(d139,plain,
multiply(n1,add(add(X0,inverse(inverse(X0))),inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[d138,d122]) ).
cnf(d140,plain,
multiply(n1,add(inverse(inverse(X0)),add(X0,inverse(inverse(X0))))) = X0,
inference(demodulation,[status(thm)],[d139,d88]) ).
cnf(d141,plain,
multiply(n1,add(multiply(n1,X0),add(X0,inverse(inverse(X0))))) = X0,
inference(demodulation,[status(thm)],[d140,d135]) ).
cnf(d142,plain,
multiply(n1,add(multiply(n1,X0),add(X0,multiply(n1,X0)))) = X0,
inference(demodulation,[status(thm)],[d141,d135]) ).
cnf(d143,plain,
multiply(n1,add(multiply(n1,X0),multiply(X0,add(X0,n1)))) = X0,
inference(demodulation,[status(thm)],[d142,d98]) ).
cnf(d144,plain,
multiply(n1,add(multiply(n1,X0),X0)) = X0,
inference(demodulation,[status(thm)],[d143,d97]) ).
cnf(d145,plain,
multiply(n1,add(X0,multiply(n1,X0))) = X0,
inference(demodulation,[status(thm)],[d144,d88]) ).
cnf(d146,plain,
multiply(n1,multiply(X0,add(X0,n1))) = X0,
inference(demodulation,[status(thm)],[d145,d98]) ).
cnf(d147,plain,
multiply(n1,X0) = X0,
inference(demodulation,[status(thm)],[d146,d97]) ).
cnf(d148,plain,
X0 = multiply(n1,multiply(n1,X0)),
inference(superposition,[status(thm)],[d69,d119]) ).
cnf(d149,plain,
inverse(inverse(X0)) = multiply(n1,X0),
inference(superposition,[status(thm)],[d134,d148]) ).
cnf(d150,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d149,d147]) ).
cnf(d151,plain,
X0 = multiply(X0,n1),
inference(demodulation,[status(thm)],[d119,d147]) ).
cnf(d152,plain,
add(inverse(X0),multiply(n1,X0)) = n1,
inference(superposition,[status(thm)],[d135,c1]) ).
cnf(d153,plain,
add(inverse(X0),multiply(X0,n1)) = n1,
inference(superposition,[status(thm)],[d69,d152]) ).
cnf(d154,plain,
multiply(n1,add(n1,inverse(X0))) = n1,
inference(demodulation,[status(thm)],[d153,d122]) ).
cnf(d155,plain,
add(n1,inverse(X0)) = n1,
inference(demodulation,[status(thm)],[d154,d147]) ).
cnf(d156,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d135,d147]) ).
cnf(d157,plain,
add(n1,X0) = n1,
inference(superposition,[status(thm)],[d156,d155]) ).
cnf(d158,plain,
multiply(n1,add(multiply(X1,inverse(X0)),n0)) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[d20,d100]) ).
cnf(d159,plain,
multiply(X0,inverse(X1)) = multiply(X0,inverse(X1)),
inference(demodulation,[status(thm)],[d158,d2]) ).
cnf(d160,plain,
multiply(X0,inverse(inverse(X0))) = multiply(n1,multiply(inverse(inverse(X0)),n1)),
inference(superposition,[status(thm)],[d136,d159]) ).
cnf(d161,plain,
multiply(multiply(inverse(inverse(X0)),n1),add(n1,X1)) = add(multiply(X0,inverse(inverse(X0))),multiply(X1,multiply(inverse(inverse(X0)),n1))),
inference(superposition,[status(thm)],[d160,c0]) ).
cnf(d162,plain,
multiply(inverse(inverse(X0)),add(n1,X1)) = add(multiply(X0,inverse(inverse(X0))),multiply(X1,multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d161,d151]) ).
cnf(d163,plain,
multiply(X0,add(n1,X1)) = add(multiply(X0,inverse(inverse(X0))),multiply(X1,multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d162,d150]) ).
cnf(d164,plain,
multiply(X1,n1) = add(multiply(X1,inverse(inverse(X1))),multiply(X0,multiply(inverse(inverse(X1)),n1))),
inference(demodulation,[status(thm)],[d163,d157]) ).
cnf(d165,plain,
X0 = add(multiply(X0,inverse(inverse(X0))),multiply(X1,multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d164,d151]) ).
cnf(d166,plain,
X0 = add(multiply(X0,X0),multiply(X1,multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d165,d150]) ).
cnf(d167,plain,
X0 = add(X0,multiply(X1,multiply(inverse(inverse(X0)),n1))),
inference(demodulation,[status(thm)],[d166,d86]) ).
cnf(d168,plain,
X0 = add(X0,multiply(X1,inverse(inverse(X0)))),
inference(demodulation,[status(thm)],[d167,d151]) ).
cnf(d169,plain,
X0 = add(X0,multiply(X1,X0)),
inference(demodulation,[status(thm)],[d168,d150]) ).
cnf(d170,plain,
multiply(X0,add(X0,X1)) = X0,
inference(demodulation,[status(thm)],[d98,d169]) ).
cnf(d171,plain,
$false,
inference(resolution,[status(thm)],[d170,d90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO026-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n020.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Sat Sep 26 22:38:04 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.09/0.55 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.93/7.28 % SZS status Unsatisfiable for theBenchmark.p
% 51.93/7.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------