%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP685-10 : 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 : n008.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 07:24:29 AM UTC 2026
% Result : Unsatisfiable 59.64s 8.93s
% Output : CNFRefutation 59.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 8
% Syntax : Number of clauses : 225 ( 225 unt; 0 nHn; 7 RR)
% Number of literals : 225 ( 224 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 507 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
ld(X0,mult(X0,X0)) = X0 ).
cnf(f02,axiom,
rd(mult(X0,X0),X0) = X0 ).
cnf(f03,axiom,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)) ).
cnf(f04,axiom,
mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1) ).
cnf(f05,axiom,
ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3) ).
cnf(f06,axiom,
rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)) ).
cnf(f07,axiom,
ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1) ).
cnf(goal,negated_conjecture,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8) ).
cnf(c0,plain,
ld(X0,mult(X0,X0)) = X0,
inference(clausification,[status(esa)],[f01]) ).
cnf(c1,plain,
rd(mult(X0,X0),X0) = X0,
inference(clausification,[status(esa)],[f02]) ).
cnf(c2,plain,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(clausification,[status(esa)],[f03]) ).
cnf(c3,plain,
mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(clausification,[status(esa)],[f04]) ).
cnf(c4,plain,
ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(clausification,[status(esa)],[f05]) ).
cnf(c5,plain,
rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(clausification,[status(esa)],[f06]) ).
cnf(c6,plain,
ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(clausification,[status(esa)],[f07]) ).
cnf(c7,plain,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(demodulation,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
mult(ld(X0,X2),ld(ld(X0,X2),mult(X1,X3))) = mult(mult(X0,ld(X0,X1)),X3),
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
mult(X0,ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d3,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),ld(X0,X0)),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
mult(ld(X0,X3),ld(ld(X0,X3),X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d5,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[d2,d3]) ).
cnf(d6,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(demodulation,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
X0 = mult(ld(X0,X2),ld(ld(X0,X2),X0)),
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),X0)) = X0,
inference(superposition,[status(thm)],[c2,d6]) ).
cnf(d9,plain,
mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X0)) = X0,
inference(demodulation,[status(thm)],[d8,c2]) ).
cnf(d10,plain,
mult(X0,ld(mult(ld(X0,X1),ld(ld(X0,X1),X0)),ld(X0,X1))) = ld(X0,X1),
inference(superposition,[status(thm)],[d6,d9]) ).
cnf(d11,plain,
mult(X0,ld(X0,ld(X0,X1))) = ld(X0,X1),
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[d2,c2]) ).
cnf(d13,plain,
mult(X0,ld(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(demodulation,[status(thm)],[c6,c2]) ).
cnf(d14,plain,
mult(X0,ld(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(demodulation,[status(thm)],[d13,c3]) ).
cnf(d15,plain,
mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c1,c3]) ).
cnf(d16,plain,
mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[d15,c3]) ).
cnf(d17,plain,
mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(demodulation,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
ld(X0,X0) = rd(X0,X0),
inference(demodulation,[status(thm)],[d17,d12]) ).
cnf(d19,plain,
mult(rd(X0,X0),ld(rd(X0,X0),X0)) = ld(rd(X0,X0),X0),
inference(superposition,[status(thm)],[d15,c2]) ).
cnf(d20,plain,
mult(ld(X0,X0),ld(rd(X0,X0),X0)) = ld(rd(X0,X0),X0),
inference(demodulation,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(rd(X0,X0),X0),
inference(demodulation,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[d21,d18]) ).
cnf(d23,plain,
X0 = ld(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[d22,d6]) ).
cnf(d24,plain,
mult(ld(X0,X2),ld(ld(X0,X2),ld(X0,X1))) = ld(X0,X1),
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d25,plain,
mult(X0,ld(ld(ld(X0,X0),X0),ld(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[d23,d24]) ).
cnf(d26,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(demodulation,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))) = rd(X0,X0),
inference(superposition,[status(thm)],[d14,d15]) ).
cnf(d28,plain,
mult(X0,ld(X0,ld(ld(X0,X0),rd(X0,X0)))) = rd(X0,X0),
inference(demodulation,[status(thm)],[d27,d18]) ).
cnf(d29,plain,
mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = rd(X0,X0),
inference(demodulation,[status(thm)],[d28,d18]) ).
cnf(d30,plain,
mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(X0,X0),
inference(demodulation,[status(thm)],[d29,d18]) ).
cnf(d31,plain,
mult(X0,ld(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0))))) = ld(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[d30,c2]) ).
cnf(d32,plain,
ld(X0,ld(ld(X0,X0),ld(X0,X0))) = ld(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[d31,d11]) ).
cnf(d33,plain,
mult(X0,ld(X0,ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[d32,d26]) ).
cnf(d34,plain,
ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(demodulation,[status(thm)],[d33,d11]) ).
cnf(d35,plain,
mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d36,plain,
mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(demodulation,[status(thm)],[d35,c2]) ).
cnf(d37,plain,
mult(X0,ld(mult(X0,ld(X0,X0)),mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(superposition,[status(thm)],[d2,d36]) ).
cnf(d38,plain,
mult(X0,ld(X0,mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(demodulation,[status(thm)],[d37,d2]) ).
cnf(d39,plain,
mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[d2,d38]) ).
cnf(d40,plain,
mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(demodulation,[status(thm)],[d39,c2]) ).
cnf(d41,plain,
mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(demodulation,[status(thm)],[d14,d18]) ).
cnf(d42,plain,
mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(demodulation,[status(thm)],[c5,c3]) ).
cnf(d43,plain,
mult(rd(mult(X2,X0),rd(X3,X1)),rd(X3,X1)) = mult(X2,mult(rd(X0,X1),X1)),
inference(demodulation,[status(thm)],[d42,c3]) ).
cnf(d44,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(superposition,[status(thm)],[d2,d43]) ).
cnf(d45,plain,
mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[d12,d45]) ).
cnf(d47,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d46,d2]) ).
cnf(d48,plain,
mult(rd(X0,ld(X0,X0)),rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[d18,d47]) ).
cnf(d49,plain,
mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[d48,d18]) ).
cnf(d50,plain,
mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[d2,c3]) ).
cnf(d51,plain,
X0 = rd(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[d50,d49]) ).
cnf(d52,plain,
mult(rd(rd(X0,ld(X0,X0)),rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,ld(X0,X0)),mult(rd(ld(X0,X0),X2),X2)),
inference(superposition,[status(thm)],[d50,d43]) ).
cnf(d53,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,ld(X0,X0)),mult(rd(ld(X0,X0),X2),X2)),
inference(demodulation,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(demodulation,[status(thm)],[d53,d51]) ).
cnf(d55,plain,
mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d54,d41]) ).
cnf(d56,plain,
mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[d55,d40]) ).
cnf(d57,plain,
mult(rd(X0,rd(X3,X1)),rd(X3,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[status(thm)],[d45,d45]) ).
cnf(d58,plain,
X0 = mult(rd(X0,rd(X2,X0)),rd(X2,X0)),
inference(superposition,[status(thm)],[d47,d57]) ).
cnf(d59,plain,
mult(rd(X1,mult(rd(X0,X1),X1)),rd(mult(X0,X1),X1)) = X1,
inference(superposition,[status(thm)],[c3,d47]) ).
cnf(d60,plain,
mult(rd(X1,mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)) = X1,
inference(demodulation,[status(thm)],[d59,c3]) ).
cnf(d61,plain,
mult(rd(rd(X1,X0),X0),mult(rd(X0,rd(X1,X0)),rd(X1,X0))) = rd(X1,X0),
inference(superposition,[status(thm)],[d47,d60]) ).
cnf(d62,plain,
mult(rd(rd(X1,X0),X0),X0) = rd(X1,X0),
inference(demodulation,[status(thm)],[d61,d58]) ).
cnf(d63,plain,
mult(rd(rd(X0,rd(X1,X2)),rd(X3,X2)),rd(X3,X2)) = rd(X0,rd(X1,X2)),
inference(superposition,[status(thm)],[d62,d57]) ).
cnf(d64,plain,
mult(rd(X0,rd(X1,X2)),ld(X2,X2)) = rd(X0,rd(X1,X2)),
inference(demodulation,[status(thm)],[d63,d56]) ).
cnf(d65,plain,
mult(rd(X1,rd(X0,X0)),ld(X0,X0)) = mult(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[d18,d56]) ).
cnf(d66,plain,
rd(X0,rd(X1,X1)) = mult(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[d65,d64]) ).
cnf(d67,plain,
rd(X1,ld(X0,X0)) = mult(X1,ld(X0,X0)),
inference(demodulation,[status(thm)],[d66,d18]) ).
cnf(d68,plain,
mult(rd(X1,X0),rd(X0,ld(X0,X0))) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[status(thm)],[d51,d56]) ).
cnf(d69,plain,
mult(rd(X1,X0),mult(X0,ld(X0,X0))) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(demodulation,[status(thm)],[d68,d67]) ).
cnf(d70,plain,
mult(rd(X1,X0),X0) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(demodulation,[status(thm)],[d69,d2]) ).
cnf(d71,plain,
mult(rd(X1,X0),X0) = mult(X1,ld(X0,X0)),
inference(demodulation,[status(thm)],[d70,d34]) ).
cnf(d72,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
inference(demodulation,[status(thm)],[c7,c3]) ).
cnf(d73,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(rd(x6,x8),x8),
inference(demodulation,[status(thm)],[d72,c3]) ).
cnf(d74,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(rd(x6,x8),x8),
inference(demodulation,[status(thm)],[d73,d71]) ).
cnf(d75,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(x6,ld(x8,x8)),
inference(demodulation,[status(thm)],[d74,d71]) ).
cnf(d76,plain,
mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[d15,d18]) ).
cnf(d77,plain,
mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X4,X3)),rd(X4,X3)),
inference(superposition,[status(thm)],[d43,d57]) ).
cnf(d78,plain,
mult(X0,mult(rd(X1,X3),X3)) = mult(mult(X0,X1),ld(X3,X3)),
inference(demodulation,[status(thm)],[d77,d56]) ).
cnf(d79,plain,
mult(X2,mult(X0,ld(X1,X1))) = mult(mult(X2,X0),ld(X1,X1)),
inference(demodulation,[status(thm)],[d78,d71]) ).
cnf(d80,plain,
mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[c3,d71]) ).
cnf(d81,plain,
mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(superposition,[status(thm)],[d80,d71]) ).
cnf(d82,plain,
mult(mult(X0,ld(X1,X1)),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(demodulation,[status(thm)],[d81,d79]) ).
cnf(d83,plain,
mult(mult(X1,ld(X0,X0)),X0) = mult(X1,X0),
inference(demodulation,[status(thm)],[d82,d2]) ).
cnf(d84,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,ld(X0,X0))),X0),
inference(superposition,[status(thm)],[d76,d1]) ).
cnf(d85,plain,
mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[d30,d84]) ).
cnf(d86,plain,
ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(demodulation,[status(thm)],[d85,d24]) ).
cnf(d87,plain,
mult(rd(rd(rd(X0,X0),X1),X1),X1) = rd(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(superposition,[status(thm)],[d14,c3]) ).
cnf(d88,plain,
mult(rd(rd(ld(X0,X0),X1),X1),X1) = rd(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(demodulation,[status(thm)],[d87,d18]) ).
cnf(d89,plain,
rd(ld(X0,X0),X1) = rd(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(demodulation,[status(thm)],[d88,d62]) ).
cnf(d90,plain,
rd(ld(X1,X1),ld(X0,X0)) = rd(mult(X1,ld(X1,ld(X0,X0))),ld(X0,X0)),
inference(superposition,[status(thm)],[d34,d89]) ).
cnf(d91,plain,
mult(ld(X0,X0),ld(X1,X1)) = rd(mult(X0,ld(X0,ld(X1,X1))),ld(X1,X1)),
inference(demodulation,[status(thm)],[d90,d67]) ).
cnf(d92,plain,
mult(ld(X0,X0),ld(X1,X1)) = mult(mult(X0,ld(X0,ld(X1,X1))),ld(X1,X1)),
inference(demodulation,[status(thm)],[d91,d67]) ).
cnf(d93,plain,
mult(ld(X0,X0),ld(X1,X1)) = mult(X0,ld(X0,mult(ld(X1,X1),ld(X1,X1)))),
inference(demodulation,[status(thm)],[d92,d38]) ).
cnf(d94,plain,
mult(ld(X1,X1),ld(X0,X0)) = mult(X1,ld(X1,ld(X0,X0))),
inference(demodulation,[status(thm)],[d93,d86]) ).
cnf(d95,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[d94,d83]) ).
cnf(d96,plain,
mult(X0,ld(X0,mult(ld(X1,X1),X1))) = mult(ld(X0,X0),X1),
inference(demodulation,[status(thm)],[d95,d38]) ).
cnf(d97,plain,
mult(X1,ld(X1,X0)) = mult(ld(X1,X1),X0),
inference(demodulation,[status(thm)],[d96,d76]) ).
cnf(d98,plain,
mult(X0,mult(X0,ld(X0,ld(X2,X2)))) = mult(rd(X0,rd(X3,X2)),rd(X3,X2)),
inference(superposition,[status(thm)],[d45,d57]) ).
cnf(d99,plain,
mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d98,d40]) ).
cnf(d100,plain,
mult(ld(X0,X0),ld(X2,X2)) = mult(X0,ld(X0,ld(rd(X1,X2),rd(X1,X2)))),
inference(superposition,[status(thm)],[d41,d99]) ).
cnf(d101,plain,
mult(X0,ld(X0,ld(X1,X1))) = mult(X0,ld(X0,ld(rd(X2,X1),rd(X2,X1)))),
inference(demodulation,[status(thm)],[d100,d97]) ).
cnf(d102,plain,
mult(mult(X0,ld(X0,X2)),ld(X2,X2)) = mult(ld(X0,X3),ld(ld(X0,X3),X2)),
inference(superposition,[status(thm)],[d3,d4]) ).
cnf(d103,plain,
mult(mult(X0,ld(X0,X2)),ld(X2,X2)) = mult(ld(X0,X3),ld(ld(X0,X3),X2)),
inference(superposition,[status(thm)],[d102,d4]) ).
cnf(d104,plain,
mult(X0,ld(X0,mult(X1,ld(X1,X1)))) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(demodulation,[status(thm)],[d103,d38]) ).
cnf(d105,plain,
mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(demodulation,[status(thm)],[d104,d2]) ).
cnf(d106,plain,
mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(superposition,[status(thm)],[c2,d3]) ).
cnf(d107,plain,
mult(X0,ld(X0,mult(X1,ld(ld(X0,mult(X0,X1)),X2)))) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(demodulation,[status(thm)],[d106,d38]) ).
cnf(d108,plain,
mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(demodulation,[status(thm)],[d107,c2]) ).
cnf(d109,plain,
mult(X0,ld(X0,mult(X2,ld(mult(X0,ld(X0,X2)),X1)))) = mult(X0,ld(X0,mult(X1,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d108,d38]) ).
cnf(d110,plain,
mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X0)))) = mult(X1,ld(X1,X0)),
inference(demodulation,[status(thm)],[d109,d2]) ).
cnf(d111,plain,
mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,mult(X0,ld(X0,X1))),X2),
inference(superposition,[status(thm)],[c2,d38]) ).
cnf(d112,plain,
mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[d111,d40]) ).
cnf(d113,plain,
mult(mult(X0,X1),ld(mult(X0,ld(X0,mult(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(superposition,[status(thm)],[d112,d110]) ).
cnf(d114,plain,
mult(mult(X0,X1),ld(mult(X0,mult(X0,ld(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[d113,c2]) ).
cnf(d115,plain,
mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[d114,d40]) ).
cnf(d116,plain,
mult(ld(X0,X1),ld(ld(X0,X1),mult(X0,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[d7,d38]) ).
cnf(d117,plain,
mult(X0,X2) = mult(ld(X0,X3),ld(ld(X0,X3),mult(X0,X2))),
inference(superposition,[status(thm)],[d116,d4]) ).
cnf(d118,plain,
mult(X0,X2) = mult(X0,ld(X0,mult(X0,X2))),
inference(demodulation,[status(thm)],[d117,d105]) ).
cnf(d119,plain,
mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(demodulation,[status(thm)],[d118,c2]) ).
cnf(d120,plain,
mult(ld(X0,X1),X2) = mult(ld(X0,X1),mult(X0,ld(X0,X2))),
inference(superposition,[status(thm)],[d105,d119]) ).
cnf(d121,plain,
X0 = mult(mult(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d122,plain,
X0 = mult(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[d121,d2]) ).
cnf(d123,plain,
ld(X0,X1) = mult(ld(X0,X2),ld(ld(X0,X2),ld(X0,X1))),
inference(superposition,[status(thm)],[d4,d122]) ).
cnf(d124,plain,
ld(X0,X2) = mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),ld(X0,X2))),
inference(superposition,[status(thm)],[c2,d123]) ).
cnf(d125,plain,
ld(X0,X2) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X0,X2))),
inference(demodulation,[status(thm)],[d124,c2]) ).
cnf(d126,plain,
ld(X0,X1) = mult(X0,ld(mult(X0,ld(X0,X0)),ld(X0,X1))),
inference(superposition,[status(thm)],[d2,d125]) ).
cnf(d127,plain,
ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(demodulation,[status(thm)],[d126,d2]) ).
cnf(d128,plain,
mult(X0,ld(X0,mult(ld(X0,X1),X2))) = mult(ld(X0,X1),X2),
inference(superposition,[status(thm)],[d127,d38]) ).
cnf(d129,plain,
mult(ld(X0,X1),ld(mult(X0,ld(X0,ld(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(superposition,[status(thm)],[d128,d110]) ).
cnf(d130,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[d129,d11]) ).
cnf(d131,plain,
ld(ld(X0,X1),X2) = mult(ld(X0,X3),ld(ld(X0,X3),ld(ld(X0,X1),X2))),
inference(superposition,[status(thm)],[d11,d4]) ).
cnf(d132,plain,
ld(ld(X0,X2),X3) = mult(X0,ld(X0,ld(ld(X0,X2),X3))),
inference(demodulation,[status(thm)],[d131,d105]) ).
cnf(d133,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[d105,d97]) ).
cnf(d134,plain,
ld(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[d133,d132]) ).
cnf(d135,plain,
mult(ld(X0,X0),mult(X0,ld(X0,X1))) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[d134,d130]) ).
cnf(d136,plain,
mult(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[d135,d120]) ).
cnf(d137,plain,
X0 = mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),X0)),
inference(superposition,[status(thm)],[c2,d7]) ).
cnf(d138,plain,
X0 = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X0)),
inference(demodulation,[status(thm)],[d137,c2]) ).
cnf(d139,plain,
mult(rd(ld(X0,X0),rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,ld(ld(X0,X0),ld(X0,X0))),X2),X2)),
inference(superposition,[status(thm)],[d30,d43]) ).
cnf(d140,plain,
mult(X0,ld(X0,ld(rd(X1,X2),rd(X1,X2)))) = mult(X0,mult(rd(ld(X0,ld(ld(X0,X0),ld(X0,X0))),X2),X2)),
inference(demodulation,[status(thm)],[d139,d41]) ).
cnf(d141,plain,
mult(X0,ld(X0,ld(rd(X1,X2),rd(X1,X2)))) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X2),X2)),
inference(demodulation,[status(thm)],[d140,d34]) ).
cnf(d142,plain,
mult(rd(ld(X0,X0),rd(X1,X0)),rd(X1,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[d2,d45]) ).
cnf(d143,plain,
mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = mult(ld(X0,X0),ld(X0,X0)),
inference(demodulation,[status(thm)],[d142,d41]) ).
cnf(d144,plain,
mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = ld(X0,X0),
inference(demodulation,[status(thm)],[d143,d86]) ).
cnf(d145,plain,
ld(X0,X0) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X0),X0)),
inference(superposition,[status(thm)],[d144,d141]) ).
cnf(d146,plain,
ld(X0,X0) = mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))),
inference(superposition,[status(thm)],[d141,d145]) ).
cnf(d147,plain,
X0 = mult(mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))),ld(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[d146,d138]) ).
cnf(d148,plain,
X0 = mult(X0,ld(X0,mult(ld(rd(X1,X0),rd(X1,X0)),ld(ld(X0,X0),X0)))),
inference(demodulation,[status(thm)],[d147,d38]) ).
cnf(d149,plain,
X0 = mult(X0,ld(X0,mult(ld(rd(X1,X0),rd(X1,X0)),X0))),
inference(demodulation,[status(thm)],[d148,d23]) ).
cnf(d150,plain,
X1 = mult(X1,ld(X1,mult(ld(mult(rd(X0,X1),X1),rd(mult(X0,X1),X1)),X1))),
inference(superposition,[status(thm)],[c3,d149]) ).
cnf(d151,plain,
X1 = mult(X1,ld(X1,mult(ld(mult(X0,ld(X1,X1)),rd(mult(X0,X1),X1)),X1))),
inference(demodulation,[status(thm)],[d150,d71]) ).
cnf(d152,plain,
X1 = mult(X1,ld(X1,mult(ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1))),X1))),
inference(demodulation,[status(thm)],[d151,d80]) ).
cnf(d153,plain,
X1 = mult(X1,ld(X1,mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X1)))),
inference(demodulation,[status(thm)],[d152,d136]) ).
cnf(d154,plain,
X1 = mult(X1,ld(X1,mult(X0,ld(X0,X1)))),
inference(demodulation,[status(thm)],[d153,d115]) ).
cnf(d155,plain,
mult(X0,ld(X0,mult(X2,ld(X2,ld(X0,X1))))) = ld(X0,X1),
inference(superposition,[status(thm)],[d154,d105]) ).
cnf(d156,plain,
mult(X0,ld(X0,mult(mult(X1,ld(X1,X0)),X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[d154,d38]) ).
cnf(d157,plain,
mult(X1,ld(X1,mult(X0,ld(X0,mult(X1,X2))))) = mult(X1,X2),
inference(demodulation,[status(thm)],[d156,d38]) ).
cnf(d158,plain,
X0 = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,ld(X0,mult(X0,X1))),X0)),
inference(superposition,[status(thm)],[c2,d138]) ).
cnf(d159,plain,
X0 = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,mult(X0,ld(X0,X1))),X0)),
inference(demodulation,[status(thm)],[d158,c2]) ).
cnf(d160,plain,
X0 = mult(mult(X0,X1),ld(mult(X0,mult(X0,ld(X0,X1))),X0)),
inference(demodulation,[status(thm)],[d159,d40]) ).
cnf(d161,plain,
X0 = mult(mult(X0,X1),ld(mult(X0,X1),X0)),
inference(demodulation,[status(thm)],[d160,d40]) ).
cnf(d162,plain,
rd(X0,X1) = mult(mult(X0,ld(X1,X1)),ld(mult(rd(X0,X1),X1),rd(X0,X1))),
inference(superposition,[status(thm)],[d71,d161]) ).
cnf(d163,plain,
rd(X0,X1) = mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),rd(X0,X1))),
inference(demodulation,[status(thm)],[d162,d71]) ).
cnf(d164,plain,
rd(X0,X1) = mult(X0,ld(X0,rd(X0,X1))),
inference(demodulation,[status(thm)],[d163,d115]) ).
cnf(d165,plain,
mult(X0,ld(X0,mult(rd(X0,X1),X2))) = mult(rd(X0,X1),X2),
inference(superposition,[status(thm)],[d164,d38]) ).
cnf(d166,plain,
mult(rd(X0,X1),ld(rd(X0,X1),mult(X0,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[d165,d157]) ).
cnf(d167,plain,
mult(X0,ld(X0,ld(rd(X0,X1),X2))) = ld(rd(X0,X1),X2),
inference(superposition,[status(thm)],[d166,d155]) ).
cnf(d168,plain,
mult(X0,ld(X0,ld(X1,X1))) = ld(rd(X0,X1),rd(X0,X1)),
inference(superposition,[status(thm)],[d167,d101]) ).
cnf(d169,plain,
mult(X0,ld(rd(X1,X2),rd(X1,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[d56,d71]) ).
cnf(d170,plain,
mult(X2,mult(X0,ld(X0,ld(X1,X1)))) = mult(X2,ld(X1,X1)),
inference(demodulation,[status(thm)],[d169,d168]) ).
cnf(d171,plain,
mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(mult(X0,ld(X1,X1)),ld(X2,X2)),
inference(superposition,[status(thm)],[d71,d79]) ).
cnf(d172,plain,
mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(X0,mult(ld(X1,X1),ld(X2,X2))),
inference(demodulation,[status(thm)],[d171,d79]) ).
cnf(d173,plain,
mult(rd(X2,X0),mult(X0,ld(X1,X1))) = mult(X2,mult(X0,ld(X0,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d172,d136]) ).
cnf(d174,plain,
mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[d173,d170]) ).
cnf(d175,plain,
mult(ld(X0,X1),ld(ld(X0,X1),ld(ld(X0,X1),X2))) = ld(ld(X0,X1),mult(mult(X0,ld(X0,X2)),ld(X2,X2))),
inference(superposition,[status(thm)],[d3,c2]) ).
cnf(d176,plain,
mult(X0,ld(X0,ld(ld(X0,X1),X2))) = ld(ld(X0,X1),mult(mult(X0,ld(X0,X2)),ld(X2,X2))),
inference(demodulation,[status(thm)],[d175,d105]) ).
cnf(d177,plain,
ld(ld(X0,X1),X2) = ld(ld(X0,X1),mult(mult(X0,ld(X0,X2)),ld(X2,X2))),
inference(demodulation,[status(thm)],[d176,d132]) ).
cnf(d178,plain,
ld(ld(X0,X2),X1) = ld(ld(X0,X2),mult(X0,ld(X0,mult(X1,ld(X1,X1))))),
inference(demodulation,[status(thm)],[d177,d38]) ).
cnf(d179,plain,
ld(ld(X1,X2),X0) = ld(ld(X1,X2),mult(X1,ld(X1,X0))),
inference(demodulation,[status(thm)],[d178,d2]) ).
cnf(d180,plain,
ld(ld(X0,mult(X0,X1)),X2) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X2))),
inference(superposition,[status(thm)],[c2,d179]) ).
cnf(d181,plain,
ld(mult(X0,ld(X0,X1)),X2) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X2))),
inference(demodulation,[status(thm)],[d180,c2]) ).
cnf(d182,plain,
mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(superposition,[status(thm)],[d3,c2]) ).
cnf(d183,plain,
mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(demodulation,[status(thm)],[d182,d38]) ).
cnf(d184,plain,
mult(X0,ld(X0,mult(X2,ld(mult(X0,ld(X0,X2)),ld(X2,X2))))) = ld(mult(X0,ld(X0,X2)),mult(X0,ld(X0,X2))),
inference(demodulation,[status(thm)],[d183,d105]) ).
cnf(d185,plain,
mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(demodulation,[status(thm)],[d184,d110]) ).
cnf(d186,plain,
mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),X1),
inference(demodulation,[status(thm)],[d185,d181]) ).
cnf(d187,plain,
mult(X0,ld(X0,mult(X0,X1))) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[status(thm)],[d83,d112]) ).
cnf(d188,plain,
mult(X0,mult(X0,ld(X0,X1))) = mult(mult(X0,ld(X1,X1)),X1),
inference(demodulation,[status(thm)],[d187,c2]) ).
cnf(d189,plain,
mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(demodulation,[status(thm)],[d188,d40]) ).
cnf(d190,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[status(thm)],[d76,d43]) ).
cnf(d191,plain,
mult(rd(X0,rd(X2,rd(X1,X0))),rd(X2,rd(X1,X0))) = mult(ld(X0,X0),X0),
inference(superposition,[status(thm)],[d47,d190]) ).
cnf(d192,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
inference(demodulation,[status(thm)],[d191,d76]) ).
cnf(d193,plain,
X0 = mult(rd(X0,rd(X3,rd(X2,X0))),rd(X3,rd(X2,X0))),
inference(superposition,[status(thm)],[d192,d57]) ).
cnf(d194,plain,
X0 = mult(X0,ld(rd(X2,X0),rd(X2,X0))),
inference(demodulation,[status(thm)],[d193,d56]) ).
cnf(d195,plain,
X1 = mult(X1,ld(mult(rd(X0,X1),X1),rd(mult(X0,X1),X1))),
inference(superposition,[status(thm)],[c3,d194]) ).
cnf(d196,plain,
X1 = mult(X1,ld(mult(rd(X0,X1),X1),mult(rd(X0,X1),X1))),
inference(demodulation,[status(thm)],[d195,c3]) ).
cnf(d197,plain,
X1 = mult(X1,ld(mult(rd(mult(X0,X1),X1),X1),mult(mult(rd(X0,X1),X1),X1))),
inference(superposition,[status(thm)],[c3,d196]) ).
cnf(d198,plain,
X1 = mult(X1,ld(mult(mult(X0,X1),ld(X1,X1)),mult(mult(rd(X0,X1),X1),X1))),
inference(demodulation,[status(thm)],[d197,d71]) ).
cnf(d199,plain,
X1 = mult(X1,ld(mult(X0,mult(X1,ld(X1,X1))),mult(mult(rd(X0,X1),X1),X1))),
inference(demodulation,[status(thm)],[d198,d79]) ).
cnf(d200,plain,
X0 = mult(X0,ld(mult(X1,X0),mult(mult(rd(X1,X0),X0),X0))),
inference(demodulation,[status(thm)],[d199,d2]) ).
cnf(d201,plain,
X1 = mult(X1,ld(mult(X0,X1),mult(mult(X0,ld(X1,X1)),X1))),
inference(demodulation,[status(thm)],[d200,d71]) ).
cnf(d202,plain,
X1 = mult(X1,ld(mult(X0,X1),mult(X0,X1))),
inference(demodulation,[status(thm)],[d201,d189]) ).
cnf(d203,plain,
ld(X0,X1) = mult(ld(X0,X1),ld(mult(X0,ld(X0,X1)),X1)),
inference(superposition,[status(thm)],[d181,d202]) ).
cnf(d204,plain,
ld(X0,X1) = mult(ld(X0,X1),mult(X0,ld(X0,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d203,d186]) ).
cnf(d205,plain,
ld(X0,X1) = mult(ld(X0,X1),ld(X1,X1)),
inference(demodulation,[status(thm)],[d204,d120]) ).
cnf(d206,plain,
mult(rd(X2,ld(X0,X1)),ld(X0,X1)) = mult(X2,ld(X1,X1)),
inference(superposition,[status(thm)],[d205,d174]) ).
cnf(d207,plain,
mult(X0,ld(ld(X1,X2),ld(X1,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[d206,d71]) ).
cnf(d208,plain,
$false,
inference(resolution,[status(thm)],[d207,d75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 15:38:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.64/8.93 % SZS status Unsatisfiable for theBenchmark.p
% 59.64/8.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------