%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 07:24:28 AM UTC 2026
% Result : Unsatisfiable 68.75s 15.61s
% Output : CNFRefutation 68.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 8
% Syntax : Number of clauses : 157 ( 157 unt; 0 nHn; 6 RR)
% Number of literals : 157 ( 156 equ; 5 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 : 341 ( 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,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5) ).
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,
ld(X0,mult(X0,X1)) = mult(X0,ld(X0,X1)),
inference(clausification,[status(esa)],[f03]) ).
cnf(c3,plain,
rd(mult(X0,X1),X1) = mult(rd(X0,X1),X1),
inference(clausification,[status(esa)],[f04]) ).
cnf(c4,plain,
mult(ld(X0,mult(X0,X1)),X2) = ld(ld(X0,X3),mult(ld(X0,X3),mult(X1,X2))),
inference(clausification,[status(esa)],[f05]) ).
cnf(c5,plain,
mult(X0,rd(mult(X1,X2),X2)) = rd(mult(mult(X0,X1),rd(X3,X2)),rd(X3,X2)),
inference(clausification,[status(esa)],[f06]) ).
cnf(c6,plain,
rd(mult(rd(X0,X0),X1),X1) = ld(X0,mult(X0,ld(X1,X1))),
inference(clausification,[status(esa)],[f07]) ).
cnf(c7,plain,
mult(x3,x5) != mult(rd(mult(x3,x4),x4),x5),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
mult(rd(rd(X0,X0),X1),X1) = ld(X0,mult(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[c6,c3]) ).
cnf(d1,plain,
mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c1,c3]) ).
cnf(d2,plain,
rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
rd(X0,X0) = ld(X0,mult(X0,ld(X0,X0))),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
rd(X0,X0) = ld(X0,ld(X0,mult(X0,X0))),
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
rd(X0,X0) = ld(X0,X0),
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[d1,d5]) ).
cnf(d7,plain,
mult(ld(X0,mult(X0,X1)),X2) = ld(X0,mult(ld(X0,mult(X0,X0)),mult(X1,X2))),
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d8,plain,
mult(ld(X0,mult(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
mult(X0,X1) = ld(X0,mult(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
mult(ld(X0,X0),X0) = ld(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[d6,d9]) ).
cnf(d11,plain,
X0 = ld(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(demodulation,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
X0 = ld(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
mult(ld(mult(X0,X1),mult(mult(X0,X1),X0)),X1) = ld(ld(mult(X0,X1),mult(X0,X1)),mult(X0,X1)),
inference(superposition,[status(thm)],[d6,c4]) ).
cnf(d14,plain,
ld(mult(X0,X1),mult(mult(X0,X1),mult(X0,X1))) = ld(ld(mult(X0,X1),mult(X0,X1)),mult(X0,X1)),
inference(demodulation,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
mult(X0,X1) = ld(ld(mult(X0,X1),mult(X0,X1)),mult(X0,X1)),
inference(demodulation,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
mult(X0,X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,ld(X0,mult(X0,X1)))),
inference(superposition,[status(thm)],[c2,d9]) ).
cnf(d18,plain,
ld(X0,mult(X0,X1)) = ld(X0,mult(X0,ld(X0,mult(X0,X1)))),
inference(demodulation,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
ld(X0,mult(X0,X1)) = ld(X0,ld(X0,mult(X0,mult(X0,X1)))),
inference(demodulation,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
ld(X0,mult(X0,X1)) = ld(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d19,d9]) ).
cnf(d21,plain,
X0 = ld(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c0,d20]) ).
cnf(d22,plain,
mult(ld(X1,mult(X1,rd(X0,X0))),X0) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[status(thm)],[d1,c4]) ).
cnf(d23,plain,
ld(X0,mult(X0,mult(rd(X1,X1),X1))) = ld(ld(X0,X2),mult(ld(X0,X2),X1)),
inference(demodulation,[status(thm)],[d22,d8]) ).
cnf(d24,plain,
ld(X1,mult(X1,mult(ld(X0,X0),X0))) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(demodulation,[status(thm)],[d23,d5]) ).
cnf(d25,plain,
ld(X1,mult(X1,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(demodulation,[status(thm)],[d24,d6]) ).
cnf(d26,plain,
ld(X0,X1) = ld(X0,mult(X0,ld(X0,X1))),
inference(superposition,[status(thm)],[d25,d21]) ).
cnf(d27,plain,
ld(X0,X1) = ld(X0,ld(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d26,c2]) ).
cnf(d28,plain,
mult(rd(ld(X0,X0),X1),X1) = ld(X0,mult(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[d0,d5]) ).
cnf(d29,plain,
mult(X2,mult(rd(X0,X1),X1)) = rd(mult(mult(X2,X0),rd(X3,X1)),rd(X3,X1)),
inference(demodulation,[status(thm)],[c5,c3]) ).
cnf(d30,plain,
mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(demodulation,[status(thm)],[d29,c3]) ).
cnf(d31,plain,
mult(X0,mult(rd(ld(X0,X1),X2),X2)) = mult(rd(ld(X0,mult(X0,X1)),rd(X3,X2)),rd(X3,X2)),
inference(superposition,[status(thm)],[c2,d30]) ).
cnf(d32,plain,
mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[status(thm)],[d21,d31]) ).
cnf(d33,plain,
mult(X0,ld(X0,mult(X0,ld(X1,X1)))) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
ld(X0,mult(X0,mult(X0,ld(X1,X1)))) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d33,c2]) ).
cnf(d35,plain,
mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d34,d9]) ).
cnf(d36,plain,
mult(X0,mult(rd(X1,X3),X3)) = mult(mult(X0,X1),ld(X3,X3)),
inference(demodulation,[status(thm)],[d30,d35]) ).
cnf(d37,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),rd(X0,X0)),
inference(superposition,[status(thm)],[d5,d35]) ).
cnf(d38,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(demodulation,[status(thm)],[d37,d5]) ).
cnf(d39,plain,
mult(rd(X0,X1),ld(X1,X1)) = mult(ld(rd(X0,X1),rd(X0,X1)),rd(X0,X1)),
inference(superposition,[status(thm)],[d5,d35]) ).
cnf(d40,plain,
mult(rd(X0,X1),ld(X1,X1)) = rd(X0,X1),
inference(demodulation,[status(thm)],[d39,d6]) ).
cnf(d41,plain,
rd(X0,X0) = ld(X0,mult(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d42,plain,
ld(X0,X0) = ld(X0,mult(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(demodulation,[status(thm)],[d41,d5]) ).
cnf(d43,plain,
ld(X0,X0) = ld(X0,mult(X0,ld(ld(X0,X0),rd(X0,X0)))),
inference(demodulation,[status(thm)],[d42,d5]) ).
cnf(d44,plain,
ld(X0,X0) = ld(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(demodulation,[status(thm)],[d43,d5]) ).
cnf(d45,plain,
mult(ld(X0,X0),X1) = ld(X0,mult(X0,mult(ld(ld(X0,X0),ld(X0,X0)),X1))),
inference(superposition,[status(thm)],[d44,d8]) ).
cnf(d46,plain,
ld(X0,mult(X0,mult(X0,mult(X0,X1)))) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d9,c2]) ).
cnf(d47,plain,
mult(X0,mult(X0,X1)) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d46,d9]) ).
cnf(d48,plain,
mult(ld(X0,X0),X0) = mult(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[d6,d47]) ).
cnf(d49,plain,
X0 = mult(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(demodulation,[status(thm)],[d48,d6]) ).
cnf(d50,plain,
X0 = mult(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[d49,d6]) ).
cnf(d51,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,mult(X0,ld(X0,X0))),
inference(superposition,[status(thm)],[d50,d45]) ).
cnf(d52,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,ld(X0,mult(X0,X0))),
inference(demodulation,[status(thm)],[d51,c2]) ).
cnf(d53,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[d52,d27]) ).
cnf(d54,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[d53,c0]) ).
cnf(d55,plain,
mult(rd(X1,ld(X0,X0)),ld(X0,X0)) = rd(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[d54,d40]) ).
cnf(d56,plain,
mult(X0,ld(X1,X1)) = rd(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[d55,d38]) ).
cnf(d57,plain,
mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))) = mult(mult(X1,X2),ld(X0,X0)),
inference(superposition,[status(thm)],[d54,d36]) ).
cnf(d58,plain,
mult(X2,mult(mult(X0,ld(X1,X1)),ld(X1,X1))) = mult(mult(X2,X0),ld(X1,X1)),
inference(demodulation,[status(thm)],[d57,d56]) ).
cnf(d59,plain,
mult(X2,mult(X0,mult(rd(ld(X1,X1),X1),X1))) = mult(mult(X2,X0),ld(X1,X1)),
inference(demodulation,[status(thm)],[d58,d36]) ).
cnf(d60,plain,
mult(X1,mult(X2,ld(X0,mult(X0,ld(X0,X0))))) = mult(mult(X1,X2),ld(X0,X0)),
inference(demodulation,[status(thm)],[d59,d28]) ).
cnf(d61,plain,
mult(X1,mult(X2,ld(X0,ld(X0,mult(X0,X0))))) = mult(mult(X1,X2),ld(X0,X0)),
inference(demodulation,[status(thm)],[d60,c2]) ).
cnf(d62,plain,
mult(X1,mult(X2,ld(X0,X0))) = mult(mult(X1,X2),ld(X0,X0)),
inference(demodulation,[status(thm)],[d61,d27]) ).
cnf(d63,plain,
mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(superposition,[status(thm)],[d62,d16]) ).
cnf(d64,plain,
rd(ld(X0,mult(X0,X1)),ld(X0,X1)) = mult(rd(X0,ld(X0,X1)),ld(X0,X1)),
inference(superposition,[status(thm)],[c2,c3]) ).
cnf(d65,plain,
rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[status(thm)],[c0,d64]) ).
cnf(d66,plain,
rd(X0,ld(X0,X0)) = mult(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[d65,d38]) ).
cnf(d67,plain,
rd(X0,ld(X0,X0)) = ld(X0,mult(X0,X0)),
inference(demodulation,[status(thm)],[d66,c2]) ).
cnf(d68,plain,
rd(X0,ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[d67,c0]) ).
cnf(d69,plain,
mult(X1,ld(ld(X0,X0),ld(X0,X0))) = mult(rd(X1,rd(X0,ld(X0,X0))),X0),
inference(superposition,[status(thm)],[d68,d35]) ).
cnf(d70,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,rd(X0,ld(X0,X0))),X0),
inference(demodulation,[status(thm)],[d69,d54]) ).
cnf(d71,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,mult(X0,ld(X0,X0))),X0),
inference(demodulation,[status(thm)],[d70,d56]) ).
cnf(d72,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,mult(X0,X0))),X0),
inference(demodulation,[status(thm)],[d71,c2]) ).
cnf(d73,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,X0),X0),
inference(demodulation,[status(thm)],[d72,c0]) ).
cnf(d74,plain,
rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[c3,d73]) ).
cnf(d75,plain,
mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[status(thm)],[d74,d73]) ).
cnf(d76,plain,
mult(X0,mult(X1,ld(X1,X1))) = mult(mult(X0,ld(X1,X1)),X1),
inference(demodulation,[status(thm)],[d75,d63]) ).
cnf(d77,plain,
mult(X1,ld(X0,mult(X0,X0))) = mult(mult(X1,ld(X0,X0)),X0),
inference(demodulation,[status(thm)],[d76,c2]) ).
cnf(d78,plain,
mult(X1,X0) = mult(mult(X1,ld(X0,X0)),X0),
inference(demodulation,[status(thm)],[d77,c0]) ).
cnf(d79,plain,
mult(mult(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[d78,d16]) ).
cnf(d80,plain,
mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(superposition,[status(thm)],[d73,d16]) ).
cnf(d81,plain,
mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,ld(X2,X2))),X2),
inference(superposition,[status(thm)],[d62,d78]) ).
cnf(d82,plain,
ld(ld(X0,X1),X2) = ld(ld(X0,X1),ld(X0,mult(X0,X2))),
inference(superposition,[status(thm)],[d25,d27]) ).
cnf(d83,plain,
ld(X0,mult(X0,X2)) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,mult(X1,X2)))),
inference(superposition,[status(thm)],[d8,d25]) ).
cnf(d84,plain,
ld(X0,mult(X0,X2)) = ld(ld(X0,mult(X0,X1)),mult(X1,X2)),
inference(demodulation,[status(thm)],[d83,d82]) ).
cnf(d85,plain,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[c2,d16]) ).
cnf(d86,plain,
ld(X2,mult(X2,ld(X0,X1))) = ld(ld(X2,mult(X2,X0)),ld(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[d85,d84]) ).
cnf(d87,plain,
ld(X0,mult(X0,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[d9,d20]) ).
cnf(d88,plain,
ld(X2,mult(X2,ld(X0,mult(X0,X1)))) = ld(ld(X2,mult(X2,X0)),mult(X0,X1)),
inference(superposition,[status(thm)],[d87,d86]) ).
cnf(d89,plain,
ld(X0,mult(X0,ld(X1,mult(X1,X2)))) = ld(X0,mult(X0,X2)),
inference(demodulation,[status(thm)],[d88,d84]) ).
cnf(d90,plain,
ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)),
inference(superposition,[status(thm)],[d25,d20]) ).
cnf(d91,plain,
mult(ld(X0,X0),mult(X0,ld(X1,X1))) = mult(X0,ld(X1,X1)),
inference(superposition,[status(thm)],[d50,d62]) ).
cnf(d92,plain,
mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[status(thm)],[d6,d30]) ).
cnf(d93,plain,
mult(ld(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[d92,d35]) ).
cnf(d94,plain,
mult(ld(X0,X0),mult(X0,ld(X2,X2))) = mult(X0,ld(rd(X1,X2),rd(X1,X2))),
inference(superposition,[status(thm)],[d35,d93]) ).
cnf(d95,plain,
mult(X0,ld(X1,X1)) = mult(X0,ld(rd(X2,X1),rd(X2,X1))),
inference(demodulation,[status(thm)],[d94,d91]) ).
cnf(d96,plain,
mult(ld(X0,X0),ld(X2,X2)) = ld(X0,mult(X0,ld(rd(X1,X2),rd(X1,X2)))),
inference(superposition,[status(thm)],[d35,d28]) ).
cnf(d97,plain,
mult(ld(X0,X0),ld(X2,X2)) = ld(X0,mult(X0,ld(X2,X2))),
inference(demodulation,[status(thm)],[d96,d95]) ).
cnf(d98,plain,
mult(ld(X0,X0),X1) = mult(ld(X0,mult(X0,ld(X1,X1))),X1),
inference(superposition,[status(thm)],[d97,d78]) ).
cnf(d99,plain,
mult(ld(X0,X0),X1) = ld(X0,mult(X0,mult(ld(X1,X1),X1))),
inference(demodulation,[status(thm)],[d98,d8]) ).
cnf(d100,plain,
mult(ld(X1,X1),X0) = ld(X1,mult(X1,X0)),
inference(demodulation,[status(thm)],[d99,d6]) ).
cnf(d101,plain,
ld(ld(X0,X0),ld(X0,mult(X0,X1))) = ld(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d100,d90]) ).
cnf(d102,plain,
ld(ld(X0,X0),X1) = ld(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d101,d82]) ).
cnf(d103,plain,
ld(X0,mult(X0,ld(X0,X1))) = ld(X0,X1),
inference(superposition,[status(thm)],[d25,c0]) ).
cnf(d104,plain,
ld(X0,ld(X0,mult(X0,X1))) = ld(X0,X1),
inference(demodulation,[status(thm)],[d103,c2]) ).
cnf(d105,plain,
ld(ld(X0,X1),ld(X0,mult(X0,X2))) = ld(ld(X0,X1),X2),
inference(superposition,[status(thm)],[d25,d104]) ).
cnf(d106,plain,
ld(X0,ld(X0,mult(X0,X1))) = ld(ld(X0,mult(X0,X0)),X1),
inference(superposition,[status(thm)],[d21,d105]) ).
cnf(d107,plain,
ld(X0,X1) = ld(ld(X0,mult(X0,X0)),X1),
inference(demodulation,[status(thm)],[d106,d27]) ).
cnf(d108,plain,
ld(X0,X1) = ld(X0,X1),
inference(demodulation,[status(thm)],[d107,c0]) ).
cnf(d109,plain,
ld(X0,mult(X0,X1)) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[d100,d16]) ).
cnf(d110,plain,
mult(mult(X0,X1),X2) = ld(X0,mult(X0,mult(mult(X0,X1),X2))),
inference(superposition,[status(thm)],[d9,d8]) ).
cnf(d111,plain,
ld(X0,mult(X0,X2)) = ld(mult(X0,X1),mult(ld(X0,mult(X0,mult(X0,X1))),X2)),
inference(superposition,[status(thm)],[d9,d25]) ).
cnf(d112,plain,
ld(X0,mult(X0,X2)) = ld(mult(X0,X1),ld(X0,mult(X0,mult(mult(X0,X1),X2)))),
inference(demodulation,[status(thm)],[d111,d8]) ).
cnf(d113,plain,
ld(X0,mult(X0,X2)) = ld(mult(X0,X1),mult(mult(X0,X1),X2)),
inference(demodulation,[status(thm)],[d112,d110]) ).
cnf(d114,plain,
ld(mult(X0,X1),mult(mult(X0,X1),X2)) = ld(X0,mult(X0,X2)),
inference(superposition,[status(thm)],[d113,d108]) ).
cnf(d115,plain,
ld(mult(X0,X1),mult(X0,mult(rd(X1,X2),X2))) = ld(X0,mult(X0,ld(X2,X2))),
inference(superposition,[status(thm)],[d36,d114]) ).
cnf(d116,plain,
ld(mult(X1,X0),mult(X1,mult(ld(X0,X0),X0))) = ld(X1,mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[d5,d115]) ).
cnf(d117,plain,
ld(mult(X1,X0),mult(X1,ld(X0,mult(X0,X0)))) = ld(X1,mult(X1,ld(X0,X0))),
inference(demodulation,[status(thm)],[d116,d109]) ).
cnf(d118,plain,
ld(mult(X1,X0),mult(X1,X0)) = ld(X1,mult(X1,ld(X0,X0))),
inference(demodulation,[status(thm)],[d117,c0]) ).
cnf(d119,plain,
ld(X0,mult(X0,ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(superposition,[status(thm)],[d118,d108]) ).
cnf(d120,plain,
mult(X0,mult(rd(X1,X2),X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[d36,d62]) ).
cnf(d121,plain,
mult(X2,ld(X1,X1)) = mult(rd(X2,mult(rd(X0,X1),X1)),rd(mult(X0,X1),X1)),
inference(superposition,[status(thm)],[c3,d35]) ).
cnf(d122,plain,
mult(X2,ld(X1,X1)) = mult(rd(X2,mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(demodulation,[status(thm)],[d121,c3]) ).
cnf(d123,plain,
mult(X0,ld(X2,X2)) = mult(rd(X0,mult(rd(X1,X2),X2)),mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[d122,d120]) ).
cnf(d124,plain,
mult(X2,ld(X1,X1)) = mult(rd(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[d123,d80]) ).
cnf(d125,plain,
mult(X0,ld(X2,X2)) = mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))),
inference(demodulation,[status(thm)],[d124,d80]) ).
cnf(d126,plain,
mult(X2,ld(X1,X1)) = mult(X2,ld(X0,mult(X0,ld(ld(X1,X1),ld(X1,X1))))),
inference(demodulation,[status(thm)],[d125,d119]) ).
cnf(d127,plain,
mult(X1,ld(X0,X0)) = mult(X1,ld(X2,mult(X2,ld(X0,mult(X0,ld(X0,X0)))))),
inference(demodulation,[status(thm)],[d126,d102]) ).
cnf(d128,plain,
mult(X2,ld(X1,X1)) = mult(X2,ld(X0,mult(X0,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d127,d89]) ).
cnf(d129,plain,
mult(X0,ld(X1,mult(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(superposition,[status(thm)],[d128,d16]) ).
cnf(d130,plain,
mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(mult(X0,ld(X1,X1)),ld(X2,X2)),
inference(superposition,[status(thm)],[d73,d62]) ).
cnf(d131,plain,
mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(X0,mult(ld(X1,X1),ld(X2,X2))),
inference(demodulation,[status(thm)],[d130,d63]) ).
cnf(d132,plain,
mult(rd(X2,X0),mult(X0,ld(X1,X1))) = mult(X2,ld(X0,mult(X0,ld(X1,X1)))),
inference(demodulation,[status(thm)],[d131,d109]) ).
cnf(d133,plain,
mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[d132,d129]) ).
cnf(d134,plain,
mult(mult(rd(X0,X1),X1),X2) = mult(mult(X0,ld(X2,X2)),X2),
inference(superposition,[status(thm)],[d133,d81]) ).
cnf(d135,plain,
mult(mult(X0,ld(X1,X1)),X2) = mult(mult(X0,ld(X2,X2)),X2),
inference(demodulation,[status(thm)],[d134,d80]) ).
cnf(d136,plain,
mult(mult(X0,ld(X2,X2)),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[d135,d79]) ).
cnf(d137,plain,
mult(x3,x5) != mult(mult(rd(x3,x4),x4),x5),
inference(demodulation,[status(thm)],[c7,c3]) ).
cnf(d138,plain,
mult(x3,x5) != mult(mult(x3,ld(x4,x4)),x5),
inference(demodulation,[status(thm)],[d137,d73]) ).
cnf(d139,plain,
mult(x3,x5) != mult(x3,x5),
inference(demodulation,[status(thm)],[d138,d136]) ).
cnf(d140,plain,
$false,
inference(resolution,[status(thm)],[d16,d139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.55 % Computer : n005.cluster.edu
% 0.09/5.55 % Model : x86_64 x86_64
% 0.09/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.55 % Memory : 8046.5625MB
% 0.09/5.55 % OS : Linux 6.8.0-71-generic
% 0.09/5.55 % CPULimit : 300
% 0.09/5.55 % WCLimit : 300
% 0.09/5.55 % DateTime : Fri Sep 25 15:36:52 UTC 2026
% 0.09/5.55 % CPUTime :
% 0.09/5.55 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.75/15.61 % SZS status Unsatisfiable for theBenchmark.p
% 68.75/15.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------