%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP658-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:24:23 AM UTC 2026
% Result : Unsatisfiable 141.83s 20.22s
% Output : CNFRefutation 141.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 6
% Syntax : Number of clauses : 142 ( 142 unt; 0 nHn; 39 RR)
% Number of literals : 142 ( 141 equ; 38 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 : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 341 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(X0,ld(X0,X1)) = X1 ).
cnf(f02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(f03,axiom,
mult(rd(X0,X1),X1) = X0 ).
cnf(f04,axiom,
rd(mult(X0,X1),X1) = X0 ).
cnf(f05,axiom,
mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)) ).
cnf(goal,negated_conjecture,
tuple(mult(X0,x1(X0)),mult('x1$u2'(X0),X0)) != tuple(x1(X0),'x1$u2'(X0)) ).
cnf(c0,plain,
mult(X0,ld(X0,X1)) = X1,
inference(clausification,[status(esa)],[f01]) ).
cnf(c1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[f02]) ).
cnf(c2,plain,
mult(rd(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[f03]) ).
cnf(c3,plain,
rd(mult(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[f04]) ).
cnf(c4,plain,
mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)),
inference(clausification,[status(esa)],[f05]) ).
cnf(c5,plain,
tuple(mult(X0,x1(X0)),mult('x1$u2'(X0),X0)) != tuple(x1(X0),'x1$u2'(X0)),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
rd(mult(mult(X0,X1),mult(X1,X2)),X2) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
rd(mult(X0,mult(X1,X2)),X2) = mult(rd(X0,X1),mult(X1,X1)),
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
rd(mult(X2,X1),ld(X0,X1)) = mult(rd(X2,X0),mult(X0,X0)),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
mult(X0,X2) = mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X2)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d4,plain,
mult(X2,ld(X0,X1)) = mult(mult(rd(X2,mult(X0,X0)),X0),X1),
inference(superposition,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
rd(mult(X0,X2),mult(X1,X2)) = mult(rd(X0,mult(X1,X1)),X1),
inference(superposition,[status(thm)],[d3,c3]) ).
cnf(d6,plain,
mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = X2,
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d7,plain,
ld(mult(X0,X1),X2) = mult(X1,ld(mult(X0,mult(X1,X1)),X2)),
inference(superposition,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
X2 = mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))),
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d9,plain,
X2 = mult(X0,mult(X1,ld(mult(rd(X0,X1),mult(X1,X1)),X2))),
inference(superposition,[status(thm)],[c2,d8]) ).
cnf(d10,plain,
X2 = mult(X1,ld(mult(rd(X1,X0),X0),X2)),
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
X2 = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
rd(X1,mult(X2,ld(X0,X1))) = mult(rd(X0,mult(X2,X2)),X2),
inference(superposition,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
rd(X1,X1) = mult(rd(X0,mult(X0,X0)),X0),
inference(superposition,[status(thm)],[d11,d12]) ).
cnf(d14,plain,
rd(X2,X2) = rd(X1,X1),
inference(superposition,[status(thm)],[d13,d13]) ).
cnf(d15,plain,
mult(rd(X1,X1),X0) = X0,
inference(superposition,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
mult(mult(X0,X0),ld(X0,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[d15,d4]) ).
cnf(d17,plain,
mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[c1,d16]) ).
cnf(d18,plain,
ld(mult(X0,X0),mult(X0,X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[d16,c1]) ).
cnf(d19,plain,
ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[d11,d18]) ).
cnf(d20,plain,
X1 = ld(X0,ld(X0,mult(mult(X0,X0),X1))),
inference(superposition,[status(thm)],[c1,d19]) ).
cnf(d21,plain,
X1 = ld(X0,ld(X0,mult(X0,mult(X0,X1)))),
inference(demodulation,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
X1 = ld(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c2,c1]) ).
cnf(d24,plain,
ld(rd(X1,X1),X0) = X0,
inference(superposition,[status(thm)],[d14,d23]) ).
cnf(d25,plain,
ld(mult(X0,mult(X1,X1)),mult(mult(X0,X1),mult(X1,X2))) = X2,
inference(superposition,[status(thm)],[c4,c1]) ).
cnf(d26,plain,
ld(mult(rd(X0,X1),mult(X1,X1)),mult(X0,mult(X1,X2))) = X2,
inference(superposition,[status(thm)],[c2,d25]) ).
cnf(d27,plain,
ld(rd(mult(X0,mult(X1,X2)),X2),mult(X0,mult(X1,X3))) = X3,
inference(superposition,[status(thm)],[d1,d26]) ).
cnf(d28,plain,
X0 = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[d23,d11]) ).
cnf(d29,plain,
ld(rd(X0,X2),mult(rd(X0,mult(X1,X2)),mult(X1,X3))) = X3,
inference(superposition,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
X2 = mult(rd(X0,mult(X1,X0)),mult(X1,X2)),
inference(superposition,[status(thm)],[d29,d24]) ).
cnf(d31,plain,
mult(X1,X2) = ld(rd(X0,mult(X1,X0)),X2),
inference(superposition,[status(thm)],[d30,d22]) ).
cnf(d32,plain,
ld(rd(X0,mult(X0,X0)),rd(X1,X1)) = X0,
inference(superposition,[status(thm)],[d13,c1]) ).
cnf(d33,plain,
rd(rd(X1,X1),X0) = rd(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[d13,c3]) ).
cnf(d34,plain,
ld(rd(rd(X1,X1),X0),rd(X2,X2)) = X0,
inference(superposition,[status(thm)],[d33,d32]) ).
cnf(d35,plain,
ld(mult(rd(X0,mult(X1,X1)),X1),X2) = mult(X1,ld(X0,X2)),
inference(superposition,[status(thm)],[c2,d7]) ).
cnf(d36,plain,
ld(X0,X1) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[status(thm)],[d15,d35]) ).
cnf(d37,plain,
X0 = mult(rd(X1,X1),X0),
inference(superposition,[status(thm)],[d14,d28]) ).
cnf(d38,plain,
X0 = rd(X1,mult(X0,ld(mult(X0,X0),X1))),
inference(superposition,[status(thm)],[d12,d37]) ).
cnf(d39,plain,
X0 = rd(X1,ld(X0,X1)),
inference(demodulation,[status(thm)],[d38,d36]) ).
cnf(d40,plain,
ld(X1,rd(X2,X2)) = ld(X1,rd(X0,X0)),
inference(superposition,[status(thm)],[d39,d34]) ).
cnf(d41,plain,
X0 = ld(rd(X0,mult(X0,X0)),rd(X2,X2)),
inference(superposition,[status(thm)],[d32,d40]) ).
cnf(d42,plain,
X0 = mult(X0,rd(X1,X1)),
inference(demodulation,[status(thm)],[d41,d31]) ).
cnf(d43,plain,
rd(X0,rd(X1,X1)) = X0,
inference(superposition,[status(thm)],[d42,c3]) ).
cnf(d44,plain,
rd(X1,X1) = ld(X0,X0),
inference(superposition,[status(thm)],[d42,d22]) ).
cnf(d45,plain,
rd(X2,ld(X1,X1)) = X2,
inference(superposition,[status(thm)],[d44,d43]) ).
cnf(d46,plain,
mult(X0,X1) = mult(rd(X0,X1),mult(X1,X1)),
inference(superposition,[status(thm)],[d45,d2]) ).
cnf(d47,plain,
rd(X1,ld(X0,X1)) = X0,
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d48,plain,
rd(X2,ld(mult(X0,mult(X1,X1)),X2)) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[d6,d0]) ).
cnf(d49,plain,
mult(X1,mult(X2,X2)) = mult(X1,mult(X2,X2)),
inference(demodulation,[status(thm)],[d48,d47]) ).
cnf(d50,plain,
mult(rd(X0,X1),mult(X1,X1)) = rd(mult(X0,mult(X1,X2)),X2),
inference(superposition,[status(thm)],[d1,d49]) ).
cnf(d51,plain,
mult(X0,X1) = rd(mult(X0,mult(X1,X2)),X2),
inference(demodulation,[status(thm)],[d50,d46]) ).
cnf(d52,plain,
mult(X2,rd(X0,X1)) = rd(mult(X2,X0),X1),
inference(superposition,[status(thm)],[c2,d51]) ).
cnf(d53,plain,
rd(mult(X0,X3),mult(X1,X3)) = rd(mult(X0,X2),mult(X1,X2)),
inference(superposition,[status(thm)],[d5,d5]) ).
cnf(d54,plain,
X0 = rd(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c1,d39]) ).
cnf(d55,plain,
rd(X0,mult(X1,X0)) = rd(X2,mult(X1,X2)),
inference(superposition,[status(thm)],[d30,d54]) ).
cnf(d56,plain,
rd(X2,mult(rd(X0,X1),X2)) = rd(X1,X0),
inference(superposition,[status(thm)],[c2,d55]) ).
cnf(d57,plain,
rd(mult(X1,X1),mult(X0,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[d46,d56]) ).
cnf(d58,plain,
rd(mult(X0,X2),mult(X1,X2)) = rd(X0,X1),
inference(superposition,[status(thm)],[d57,d53]) ).
cnf(d59,plain,
mult(X0,rd(X1,mult(X2,X1))) = rd(X0,X2),
inference(demodulation,[status(thm)],[d58,d52]) ).
cnf(d60,plain,
X2 = mult(X2,ld(X1,X1)),
inference(superposition,[status(thm)],[d44,d42]) ).
cnf(d61,plain,
rd(X1,X0) = mult(rd(X1,mult(X0,X0)),X0),
inference(superposition,[status(thm)],[d60,d12]) ).
cnf(d62,plain,
ld(rd(X0,X1),X2) = mult(X1,ld(X0,X2)),
inference(demodulation,[status(thm)],[d35,d61]) ).
cnf(d63,plain,
X2 = mult(rd(X1,X0),mult(rd(X0,X1),X2)),
inference(superposition,[status(thm)],[c2,d30]) ).
cnf(d64,plain,
ld(X2,X2) = mult(rd(X1,X0),rd(X0,X1)),
inference(superposition,[status(thm)],[d60,d63]) ).
cnf(d65,plain,
rd(X1,X0) = ld(rd(X0,X1),ld(X2,X2)),
inference(superposition,[status(thm)],[d64,d22]) ).
cnf(d66,plain,
rd(X1,X0) = mult(X1,ld(X0,ld(X2,X2))),
inference(demodulation,[status(thm)],[d65,d62]) ).
cnf(d67,plain,
ld(mult(X2,mult(X0,X0)),mult(mult(X2,X0),X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[c0,d25]) ).
cnf(d68,plain,
ld(mult(X0,X1),mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),X2)) = ld(X1,X2),
inference(superposition,[status(thm)],[d3,d67]) ).
cnf(d69,plain,
ld(mult(X0,X1),mult(mult(X0,ld(X1,X1)),X2)) = ld(X1,X2),
inference(demodulation,[status(thm)],[d68,d4]) ).
cnf(d70,plain,
ld(mult(X0,X1),mult(X0,X2)) = ld(X1,X2),
inference(demodulation,[status(thm)],[d69,d60]) ).
cnf(d71,plain,
ld(mult(X0,X2),X1) = ld(X2,ld(X0,X1)),
inference(superposition,[status(thm)],[d11,d70]) ).
cnf(d72,plain,
mult(mult(X0,X1),X2) = mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),mult(X1,X2)),
inference(superposition,[status(thm)],[d3,c4]) ).
cnf(d73,plain,
mult(mult(X0,X1),X2) = mult(mult(X0,ld(X1,X1)),mult(X1,X2)),
inference(demodulation,[status(thm)],[d72,d4]) ).
cnf(d74,plain,
mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[d73,d60]) ).
cnf(d75,plain,
rd(X0,mult(X0,X0)) = rd(rd(X1,X1),X0),
inference(superposition,[status(thm)],[d32,d39]) ).
cnf(d76,plain,
X2 = mult(rd(rd(X1,X1),X0),mult(X0,X2)),
inference(superposition,[status(thm)],[d75,d30]) ).
cnf(d77,plain,
ld(X0,X1) = mult(rd(rd(X2,X2),X0),X1),
inference(superposition,[status(thm)],[d11,d76]) ).
cnf(d78,plain,
rd(rd(X2,X2),X0) = rd(X1,mult(X0,X1)),
inference(superposition,[status(thm)],[d55,d33]) ).
cnf(d79,plain,
rd(rd(X2,X2),rd(X0,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c2,d78]) ).
cnf(d80,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(superposition,[status(thm)],[d79,d77]) ).
cnf(d81,plain,
mult(X1,ld(X0,X2)) = mult(rd(X1,X0),X2),
inference(demodulation,[status(thm)],[d80,d62]) ).
cnf(d82,plain,
X2 = mult(ld(X1,X1),X2),
inference(superposition,[status(thm)],[d44,d37]) ).
cnf(d83,plain,
mult(X1,X2) = mult(X0,mult(ld(X0,X1),X2)),
inference(superposition,[status(thm)],[d11,d74]) ).
cnf(d84,plain,
mult(ld(X0,X1),X2) = ld(X0,mult(X1,X2)),
inference(superposition,[status(thm)],[d83,d22]) ).
cnf(d85,plain,
X1 = ld(rd(X0,X0),X1),
inference(superposition,[status(thm)],[d15,d11]) ).
cnf(d86,plain,
mult(rd(X0,mult(X1,X0)),mult(X1,X2)) = X2,
inference(superposition,[status(thm)],[d29,d85]) ).
cnf(d87,plain,
mult(rd(X2,mult(X0,X2)),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[d11,d86]) ).
cnf(d88,plain,
mult(X0,rd(X1,X1)) = X0,
inference(demodulation,[status(thm)],[d32,d31]) ).
cnf(d89,plain,
mult(X2,ld(X1,X1)) = X2,
inference(superposition,[status(thm)],[d44,d88]) ).
cnf(d90,plain,
ld(X0,X1) = mult(rd(X2,mult(X0,X2)),X1),
inference(superposition,[status(thm)],[d11,d30]) ).
cnf(d91,plain,
ld(X1,ld(X2,X2)) = rd(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[d90,d89]) ).
cnf(d92,plain,
mult(ld(X1,ld(X2,X2)),X3) = ld(X1,X3),
inference(superposition,[status(thm)],[d91,d87]) ).
cnf(d93,plain,
tuple(mult(mult(X0,X1),mult(X1,x1(mult(X0,mult(X1,X1))))),mult('x1$u2'(mult(X0,mult(X1,X1))),mult(X0,mult(X1,X1)))) != tuple(x1(mult(X0,mult(X1,X1))),'x1$u2'(mult(X0,mult(X1,X1)))),
inference(superposition,[status(thm)],[c4,c5]) ).
cnf(d94,plain,
tuple(mult(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),X0),mult(X0,x1(rd(X1,X1)))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(superposition,[status(thm)],[d13,d93]) ).
cnf(d95,plain,
tuple(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,mult(X0,x1(rd(X1,X1))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d94,d74]) ).
cnf(d96,plain,
tuple(mult(mult(X0,X0),ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,mult(X0,x1(rd(X1,X1)))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d95,d81]) ).
cnf(d97,plain,
tuple(mult(X0,mult(X0,ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,mult(X0,x1(rd(X1,X1))))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d96,d74]) ).
cnf(d98,plain,
tuple(mult(X0,mult(X0,ld(mult(X0,X0),ld(mult(X0,X0),mult(X0,mult(X0,x1(rd(X1,X1)))))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d97,d71]) ).
cnf(d99,plain,
tuple(mult(X0,mult(X0,ld(X0,ld(X0,ld(mult(X0,X0),mult(X0,mult(X0,x1(rd(X1,X1))))))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d98,d71]) ).
cnf(d100,plain,
tuple(mult(X0,ld(X0,ld(mult(X0,X0),mult(X0,mult(X0,x1(rd(X1,X1))))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d99,c0]) ).
cnf(d101,plain,
tuple(ld(mult(X0,X0),mult(X0,mult(X0,x1(rd(X1,X1))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d100,c0]) ).
cnf(d102,plain,
tuple(ld(X0,ld(X0,mult(X0,mult(X0,x1(rd(X1,X1)))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d101,d71]) ).
cnf(d103,plain,
tuple(ld(X0,mult(ld(X0,X0),mult(X0,x1(rd(X1,X1))))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d102,d84]) ).
cnf(d104,plain,
tuple(mult(ld(X0,ld(X0,X0)),mult(X0,x1(rd(X1,X1)))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d103,d84]) ).
cnf(d105,plain,
tuple(ld(X0,mult(X0,x1(rd(X1,X1)))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d104,d92]) ).
cnf(d106,plain,
tuple(mult(ld(X0,X0),x1(rd(X1,X1))),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d105,d84]) ).
cnf(d107,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d106,d82]) ).
cnf(d108,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(mult(mult(X0,X0),ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0)))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d107,d81]) ).
cnf(d109,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(mult(X0,mult(X0,ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0))))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d108,d74]) ).
cnf(d110,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(mult(X0,mult(X0,ld(mult(X0,X0),ld(mult(X0,X0),mult(X0,X0)))))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d109,d71]) ).
cnf(d111,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(mult(X0,rd(X0,mult(X0,X0)))),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d110,d66]) ).
cnf(d112,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(rd(X0,X0)),mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d111,d59]) ).
cnf(d113,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(rd(X0,X0)),mult(mult(X0,X0),ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0))))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d112,d81]) ).
cnf(d114,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(rd(X0,X0)),mult(X0,mult(X0,ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0)))))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d113,d74]) ).
cnf(d115,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(rd(X0,X0)),mult(X0,mult(X0,ld(mult(X0,X0),ld(mult(X0,X0),mult(X0,X0))))))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d114,d71]) ).
cnf(d116,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(rd(X0,X0)),mult(X0,rd(X0,mult(X0,X0))))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d115,d66]) ).
cnf(d117,plain,
tuple(x1(rd(X1,X1)),mult('x1$u2'(rd(X0,X0)),rd(X0,X0))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d116,d59]) ).
cnf(d118,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d117,d42]) ).
cnf(d119,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(mult(mult(X0,X0),ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0)))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d118,d81]) ).
cnf(d120,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(mult(X0,mult(X0,ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0))))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d119,d74]) ).
cnf(d121,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(mult(X0,mult(X0,ld(mult(X0,X0),ld(mult(X0,X0),mult(X0,X0)))))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d120,d71]) ).
cnf(d122,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(mult(X0,rd(X0,mult(X0,X0)))),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d121,d66]) ).
cnf(d123,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(mult(rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))),mult(X0,X0)))),
inference(demodulation,[status(thm)],[d122,d59]) ).
cnf(d124,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(mult(mult(X0,X0),ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0))))),
inference(demodulation,[status(thm)],[d123,d81]) ).
cnf(d125,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(mult(X0,mult(X0,ld(mult(mult(X0,X0),mult(X0,X0)),mult(X0,X0)))))),
inference(demodulation,[status(thm)],[d124,d74]) ).
cnf(d126,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(mult(X0,mult(X0,ld(mult(X0,X0),ld(mult(X0,X0),mult(X0,X0))))))),
inference(demodulation,[status(thm)],[d125,d71]) ).
cnf(d127,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(mult(X0,rd(X0,mult(X0,X0))))),
inference(demodulation,[status(thm)],[d126,d66]) ).
cnf(d128,plain,
tuple(x1(rd(X1,X1)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(rd(X0,X0))),
inference(demodulation,[status(thm)],[d127,d59]) ).
cnf(d129,plain,
$false,
inference(equality_resolution,[status(thm)],[d128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP658-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 15:33:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 141.83/20.22 % SZS status Unsatisfiable for theBenchmark.p
% 141.83/20.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------