%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 07:22:21 AM UTC 2026
% Result : Unsatisfiable 176.83s 26.06s
% Output : CNFRefutation 176.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of clauses : 120 ( 110 unt; 0 nHn; 12 RR)
% Number of literals : 141 ( 140 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 326 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse('double$udivide'(inverse('double$udivide'(inverse('double$udivide'(X0,X1)),X2)),'double$udivide'(X0,X2))) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = inverse('double$udivide'(X1,X0)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ).
cnf(c0,plain,
inverse('double$udivide'(inverse('double$udivide'(inverse('double$udivide'(X0,X1)),X2)),'double$udivide'(X0,X2))) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = inverse('double$udivide'(X1,X0)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(clausification,[status(esa)],[prove_these_axioms]) ).
cnf(d0,plain,
multiply('double$udivide'(X0,X2),inverse('double$udivide'(inverse('double$udivide'(X0,X1)),X2))) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
multiply('double$udivide'(X0,X2),multiply(X2,inverse('double$udivide'(X0,X1)))) = X1,
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
multiply('double$udivide'(X0,X2),multiply(X2,multiply(X1,X0))) = X1,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
multiply('double$udivide'(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)) = 'double$udivide'(X0,X1),
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
multiply('double$udivide'(multiply(X2,X0),'double$udivide'(X0,X1)),X2) = X1,
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d5,plain,
X2 = 'double$udivide'(X1,multiply('double$udivide'(multiply(X0,X1),X2),X0)),
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'double$udivide'(X1,multiply('double$udivide'(multiply(X0,X1),X2),X0)) = X2,
inference(superposition,[status(thm)],[d3,d4]) ).
cnf(d7,plain,
'double$udivide'(multiply(X1,X2),'double$udivide'(X2,multiply(X0,X1))) = X0,
inference(superposition,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
multiply('double$udivide'(X1,multiply(X2,X0)),multiply(X0,X1)) = inverse(X2),
inference(superposition,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
multiply('double$udivide'(X0,'double$udivide'(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
'double$udivide'(X1,X2) = 'double$udivide'(multiply(inverse(X0),X1),multiply(X0,X2)),
inference(superposition,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
'double$udivide'(X1,multiply('double$udivide'(X1,X2),inverse(X0))) = multiply(X0,X2),
inference(superposition,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
'double$udivide'(X0,X2) = multiply(X1,'double$udivide'(X0,multiply(X1,X2))),
inference(superposition,[status(thm)],[d9,d11]) ).
cnf(d13,plain,
'double$udivide'(X0,X1) = multiply('double$udivide'(multiply(X1,X0),X2),X2),
inference(superposition,[status(thm)],[d5,d12]) ).
cnf(d14,plain,
X0 = 'double$udivide'(X1,'double$udivide'(X1,X0)),
inference(superposition,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
'double$udivide'(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[d13,d8]) ).
cnf(d16,plain,
multiply(X2,multiply(X1,X0)) = inverse('double$udivide'(multiply(X1,X0),X2)),
inference(superposition,[status(thm)],[d5,d8]) ).
cnf(d17,plain,
multiply(X2,multiply(X0,X1)) = multiply(X2,multiply(X0,X1)),
inference(demodulation,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
inverse(X1) = multiply('double$udivide'(X0,multiply(X1,X2)),multiply(X2,X0)),
inference(superposition,[status(thm)],[d8,d17]) ).
cnf(d19,plain,
inverse(multiply(X0,X1)) = 'double$udivide'(X1,X0),
inference(superposition,[status(thm)],[d13,d18]) ).
cnf(d20,plain,
'double$udivide'(X1,'double$udivide'(X1,X0)) = X0,
inference(superposition,[status(thm)],[d13,d6]) ).
cnf(d21,plain,
X2 = multiply('double$udivide'(X0,X1),multiply(X1,multiply(X2,X0))),
inference(superposition,[status(thm)],[d2,d17]) ).
cnf(d22,plain,
X2 = multiply('double$udivide'(X0,'double$udivide'(X0,multiply(X1,X2))),inverse(X1)),
inference(superposition,[status(thm)],[d8,d21]) ).
cnf(d23,plain,
X2 = multiply(multiply(X1,X2),inverse(X1)),
inference(demodulation,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
multiply(multiply('double$udivide'(multiply(X1,X0),X2),X1),X0) = inverse(X2),
inference(superposition,[status(thm)],[d6,c1]) ).
cnf(d25,plain,
X0 = 'double$udivide'(multiply(X1,X2),'double$udivide'(X2,multiply(X0,X1))),
inference(superposition,[status(thm)],[d3,d5]) ).
cnf(d26,plain,
multiply(multiply(X2,X0),X1) = inverse('double$udivide'(X1,multiply(X2,X0))),
inference(superposition,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
multiply(multiply(X1,X2),X0) = multiply(multiply(X1,X2),X0),
inference(demodulation,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
inverse(X2) = multiply(multiply('double$udivide'(multiply(X0,X1),X2),X0),X1),
inference(superposition,[status(thm)],[d24,d27]) ).
cnf(d29,plain,
inverse(X0) = multiply('double$udivide'(X1,X0),X1),
inference(superposition,[status(thm)],[d13,d28]) ).
cnf(d30,plain,
X1 = multiply('double$udivide'(multiply(X2,X0),'double$udivide'(X0,X1)),X2),
inference(superposition,[status(thm)],[d21,d21]) ).
cnf(d31,plain,
multiply('double$udivide'(X0,X3),multiply(X3,X2)) = 'double$udivide'(multiply(X0,X1),'double$udivide'(X1,X2)),
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d32,plain,
X2 = multiply(multiply('double$udivide'(X0,X3),multiply(X3,X2)),X0),
inference(superposition,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
X1 = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[d29,d32]) ).
cnf(d34,plain,
multiply('double$udivide'(X1,inverse(X0)),X1) = X0,
inference(superposition,[status(thm)],[d33,d2]) ).
cnf(d35,plain,
inverse(inverse(X1)) = X1,
inference(demodulation,[status(thm)],[d34,d29]) ).
cnf(d36,plain,
X1 = multiply(multiply(inverse(X0),X1),X0),
inference(superposition,[status(thm)],[d35,d23]) ).
cnf(d37,plain,
multiply(multiply('double$udivide'(X0,X3),multiply(X3,X2)),X0) = X2,
inference(superposition,[status(thm)],[d31,d4]) ).
cnf(d38,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[d29,d37]) ).
cnf(d39,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[d38,d36]) ).
cnf(d40,plain,
inverse(multiply(X1,X0)) = 'double$udivide'(X1,X0),
inference(superposition,[status(thm)],[d39,d19]) ).
cnf(d41,plain,
'double$udivide'(X1,X0) = 'double$udivide'(X0,X1),
inference(superposition,[status(thm)],[d40,d15]) ).
cnf(d42,plain,
X1 = 'double$udivide'(X0,'double$udivide'(X1,X0)),
inference(superposition,[status(thm)],[d41,d14]) ).
cnf(d43,plain,
multiply(multiply(X3,X0),X1) = inverse(multiply('double$udivide'(multiply(X2,multiply(X0,X1)),X3),X2)),
inference(superposition,[status(thm)],[d5,d24]) ).
cnf(d44,plain,
multiply(multiply(X3,X1),X2) = 'double$udivide'(X0,'double$udivide'(multiply(X0,multiply(X1,X2)),X3)),
inference(demodulation,[status(thm)],[d43,d15]) ).
cnf(d45,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d44,d42]) ).
cnf(d46,plain,
multiply('double$udivide'(X1,X0),X1) = inverse(X0),
inference(superposition,[status(thm)],[d13,d24]) ).
cnf(d47,plain,
multiply(X0,'double$udivide'(X0,X1)) = inverse(X1),
inference(demodulation,[status(thm)],[d46,d39]) ).
cnf(d48,plain,
multiply(inverse(X0),inverse(X1)) = 'double$udivide'(X0,X1),
inference(superposition,[status(thm)],[d47,d38]) ).
cnf(d49,plain,
multiply(X0,X1) = inverse('double$udivide'(X0,X1)),
inference(superposition,[status(thm)],[d14,d47]) ).
cnf(d50,plain,
multiply(inverse(X2),multiply(X0,X1)) = 'double$udivide'(X2,'double$udivide'(X0,X1)),
inference(superposition,[status(thm)],[d49,d48]) ).
cnf(d51,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(resolution,[status(thm)],[d39,c2]) ).
cnf(d52,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a1,inverse(a1)) != multiply(inverse(b1),b1) ),
inference(demodulation,[status(thm)],[d51,d39]) ).
cnf(d53,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(demodulation,[status(thm)],[d52,d39]) ).
cnf(d54,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(b2),multiply(b2,a2)) != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(demodulation,[status(thm)],[d53,d45]) ).
cnf(d55,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| 'double$udivide'(b2,'double$udivide'(b2,a2)) != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(demodulation,[status(thm)],[d54,d50]) ).
cnf(d56,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(demodulation,[status(thm)],[d55,d20]) ).
cnf(d57,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(demodulation,[status(thm)],[d56,d45]) ).
cnf(d58,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[d39,d38]) ).
cnf(d59,plain,
multiply('double$udivide'(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[d58,d2]) ).
cnf(d60,plain,
'double$udivide'(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[d59,d11]) ).
cnf(d61,plain,
X1 = multiply(inverse(X0),multiply(X1,X0)),
inference(superposition,[status(thm)],[d39,d33]) ).
cnf(d62,plain,
'double$udivide'(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[d59,d61]) ).
cnf(d63,plain,
multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[d62,d60]) ).
cnf(d64,plain,
multiply(X1,inverse(X1)) = multiply(X0,inverse(X0)),
inference(demodulation,[status(thm)],[d63,d39]) ).
cnf(d65,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolution,[status(thm)],[d64,d57]) ).
cnf(d66,plain,
multiply(X1,multiply(multiply('double$udivide'(X0,X1),X2),X0)) = X2,
inference(superposition,[status(thm)],[d30,d37]) ).
cnf(d67,plain,
multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(superposition,[status(thm)],[d29,d66]) ).
cnf(d68,plain,
multiply(X0,'double$udivide'(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[d41,d47]) ).
cnf(d69,plain,
multiply(X0,inverse(X1)) = 'double$udivide'(X1,inverse(X0)),
inference(superposition,[status(thm)],[d68,d67]) ).
cnf(d70,plain,
multiply(X0,inverse(X1)) = 'double$udivide'(inverse(X0),X1),
inference(superposition,[status(thm)],[d47,d67]) ).
cnf(d71,plain,
X3 = 'double$udivide'(X2,'double$udivide'(inverse(X1),multiply(X3,'double$udivide'(X0,'double$udivide'(X0,multiply(X1,X2)))))),
inference(superposition,[status(thm)],[d9,d25]) ).
cnf(d72,plain,
X1 = 'double$udivide'(X3,multiply(X0,inverse(multiply(X1,'double$udivide'(X2,'double$udivide'(X2,multiply(X0,X3))))))),
inference(demodulation,[status(thm)],[d71,d70]) ).
cnf(d73,plain,
X0 = 'double$udivide'(X3,multiply(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X1,multiply(X2,X3))),X0))),
inference(demodulation,[status(thm)],[d72,d15]) ).
cnf(d74,plain,
X3 = 'double$udivide'(X2,multiply(X1,'double$udivide'(multiply(X1,X2),X3))),
inference(demodulation,[status(thm)],[d73,d20]) ).
cnf(d75,plain,
'double$udivide'(X1,multiply(X2,X0)) = 'double$udivide'(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[d25,d74]) ).
cnf(d76,plain,
'double$udivide'(X1,multiply(X2,X0)) = 'double$udivide'(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d20,d6]) ).
cnf(d77,plain,
multiply('double$udivide'(X3,'double$udivide'(X3,X2)),inverse('double$udivide'(X0,X1))) = multiply(X1,multiply(X2,X0)),
inference(superposition,[status(thm)],[d2,d9]) ).
cnf(d78,plain,
multiply(X1,inverse('double$udivide'(X2,X3))) = multiply(X3,multiply(X1,X2)),
inference(demodulation,[status(thm)],[d77,d20]) ).
cnf(d79,plain,
multiply(X2,multiply(X1,X0)) = multiply(X1,multiply(X2,X0)),
inference(demodulation,[status(thm)],[d78,c1]) ).
cnf(d80,plain,
multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X0,multiply(X1,X2))),X3),multiply(X3,X4)) = 'double$udivide'(X2,'double$udivide'(inverse(X1),X4)),
inference(superposition,[status(thm)],[d9,d31]) ).
cnf(d81,plain,
multiply(X3,multiply('double$udivide'('double$udivide'(X0,'double$udivide'(X0,multiply(X1,X2))),X3),X4)) = 'double$udivide'(X2,'double$udivide'(inverse(X1),X4)),
inference(demodulation,[status(thm)],[d80,d79]) ).
cnf(d82,plain,
multiply(X3,multiply('double$udivide'(multiply(X1,X2),X3),X4)) = 'double$udivide'(X2,'double$udivide'(inverse(X1),X4)),
inference(demodulation,[status(thm)],[d81,d20]) ).
cnf(d83,plain,
multiply(X2,multiply('double$udivide'(X1,multiply(X2,X0)),X3)) = 'double$udivide'(X1,'double$udivide'(inverse(X0),X3)),
inference(demodulation,[status(thm)],[d82,d76]) ).
cnf(d84,plain,
multiply(X2,multiply('double$udivide'(X3,multiply(X2,X0)),X1)) = 'double$udivide'(X3,multiply(X0,inverse(X1))),
inference(demodulation,[status(thm)],[d83,d70]) ).
cnf(d85,plain,
'double$udivide'(X3,multiply(X1,multiply(X2,X0))) = 'double$udivide'(multiply(inverse('double$udivide'(X0,X1)),X3),X2),
inference(superposition,[status(thm)],[d2,d10]) ).
cnf(d86,plain,
'double$udivide'(X2,multiply(X1,multiply(X3,X0))) = 'double$udivide'(X2,multiply(X3,inverse('double$udivide'(X0,X1)))),
inference(demodulation,[status(thm)],[d85,d76]) ).
cnf(d87,plain,
'double$udivide'(X2,multiply(X1,multiply(X3,X0))) = 'double$udivide'(X2,multiply(X3,multiply(X1,X0))),
inference(demodulation,[status(thm)],[d86,c1]) ).
cnf(d88,plain,
multiply('double$udivide'(X3,X4),multiply(X4,X0)) = 'double$udivide'(X1,multiply('double$udivide'(multiply(X0,X1),X2),multiply(X2,X3))),
inference(superposition,[status(thm)],[d37,d3]) ).
cnf(d89,plain,
multiply(X1,multiply('double$udivide'(X0,X1),X2)) = 'double$udivide'(X3,multiply('double$udivide'(multiply(X2,X3),X4),multiply(X4,X0))),
inference(demodulation,[status(thm)],[d88,d79]) ).
cnf(d90,plain,
multiply(X4,multiply('double$udivide'(X3,X4),X1)) = 'double$udivide'(X0,multiply(X2,multiply('double$udivide'(multiply(X1,X0),X2),X3))),
inference(demodulation,[status(thm)],[d89,d87]) ).
cnf(d91,plain,
multiply(X3,multiply('double$udivide'(X4,X3),X0)) = 'double$udivide'(X1,multiply(X2,multiply('double$udivide'(X1,multiply(X2,X0)),X4))),
inference(demodulation,[status(thm)],[d90,d76]) ).
cnf(d92,plain,
multiply(X4,multiply('double$udivide'(X3,X4),X2)) = 'double$udivide'(X1,'double$udivide'(X1,multiply(X2,inverse(X3)))),
inference(demodulation,[status(thm)],[d91,d84]) ).
cnf(d93,plain,
multiply(X3,multiply('double$udivide'(X2,X3),X1)) = multiply(X1,inverse(X2)),
inference(demodulation,[status(thm)],[d92,d20]) ).
cnf(d94,plain,
multiply('double$udivide'(X0,X3),multiply(X3,X2)) = multiply('double$udivide'(X0,X1),multiply(X1,X2)),
inference(superposition,[status(thm)],[d32,d2]) ).
cnf(d95,plain,
multiply(X1,multiply('double$udivide'(X0,X1),X2)) = multiply('double$udivide'(X0,X3),multiply(X3,X2)),
inference(demodulation,[status(thm)],[d94,d79]) ).
cnf(d96,plain,
multiply(X2,inverse(X1)) = multiply('double$udivide'(X1,X3),multiply(X3,X2)),
inference(demodulation,[status(thm)],[d95,d93]) ).
cnf(d97,plain,
multiply(X2,inverse(X0)) = multiply(X1,multiply('double$udivide'(X0,X1),X2)),
inference(demodulation,[status(thm)],[d96,d79]) ).
cnf(d98,plain,
multiply('double$udivide'(multiply('double$udivide'(X0,X1),multiply(X1,X2)),X3),multiply(X3,X4)) = 'double$udivide'(X2,'double$udivide'(X0,X4)),
inference(superposition,[status(thm)],[d32,d31]) ).
cnf(d99,plain,
multiply(X3,multiply('double$udivide'(multiply('double$udivide'(X0,X1),multiply(X1,X2)),X3),X4)) = 'double$udivide'(X2,'double$udivide'(X0,X4)),
inference(demodulation,[status(thm)],[d98,d79]) ).
cnf(d100,plain,
multiply(X4,inverse(multiply('double$udivide'(X1,X2),multiply(X2,X3)))) = 'double$udivide'(X3,'double$udivide'(X1,X4)),
inference(demodulation,[status(thm)],[d99,d97]) ).
cnf(d101,plain,
multiply(X3,'double$udivide'(multiply(X1,X2),'double$udivide'(X0,X1))) = 'double$udivide'(X2,'double$udivide'(X0,X3)),
inference(demodulation,[status(thm)],[d100,d15]) ).
cnf(d102,plain,
multiply(X3,'double$udivide'(X1,multiply('double$udivide'(X2,X0),X0))) = 'double$udivide'(X1,'double$udivide'(X2,X3)),
inference(demodulation,[status(thm)],[d101,d76]) ).
cnf(d103,plain,
multiply(X3,'double$udivide'(X0,multiply(X2,'double$udivide'(X1,X2)))) = 'double$udivide'(X0,'double$udivide'(X1,X3)),
inference(demodulation,[status(thm)],[d102,d75]) ).
cnf(d104,plain,
multiply(X2,'double$udivide'(X3,inverse(X1))) = 'double$udivide'(X3,'double$udivide'(X1,X2)),
inference(demodulation,[status(thm)],[d103,d68]) ).
cnf(d105,plain,
multiply(X2,multiply(X1,inverse(X0))) = 'double$udivide'(X0,'double$udivide'(X1,X2)),
inference(demodulation,[status(thm)],[d104,d69]) ).
cnf(d106,plain,
'double$udivide'(X2,'double$udivide'(X0,X1)) = multiply(X0,'double$udivide'(X2,inverse(X1))),
inference(superposition,[status(thm)],[d47,d12]) ).
cnf(d107,plain,
'double$udivide'(X0,'double$udivide'(X2,X1)) = multiply(X2,multiply(X1,inverse(X0))),
inference(demodulation,[status(thm)],[d106,d69]) ).
cnf(d108,plain,
'double$udivide'(X2,'double$udivide'(X0,X1)) = 'double$udivide'(X2,'double$udivide'(X1,X0)),
inference(superposition,[status(thm)],[d107,d105]) ).
cnf(d109,plain,
X0 = 'double$udivide'('double$udivide'(X1,X2),'double$udivide'(X0,'double$udivide'(X2,X1))),
inference(superposition,[status(thm)],[d108,d42]) ).
cnf(d110,plain,
X2 = 'double$udivide'('double$udivide'(X1,X0),'double$udivide'(X2,'double$udivide'(X1,X0))),
inference(superposition,[status(thm)],[d41,d109]) ).
cnf(d111,plain,
X2 = X2,
inference(demodulation,[status(thm)],[d110,d42]) ).
cnf(d112,plain,
a2 != a2,
inference(resolution,[status(thm)],[d111,d65]) ).
cnf(d113,plain,
$false,
inference(equality_resolution,[status(thm)],[d112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n018.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 14:24:36 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 176.83/26.06 % SZS status Unsatisfiable for theBenchmark.p
% 176.83/26.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------