%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP685-11 : 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 : n017.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 48.58s 8.57s
% Output : CNFRefutation 48.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 7 RR)
% Number of literals : 91 ( 90 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 164 ( 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,rd(x7,x8)),rd(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,
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,
rd(mult(x6,x8),x8) != rd(mult(x6,rd(x7,x8)),rd(x7,x8)),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,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(d1,plain,
mult(ld(X0,mult(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
mult(X0,X1) = ld(X0,mult(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
mult(rd(rd(X0,X0),X1),X1) = ld(X0,mult(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[c6,c3]) ).
cnf(d4,plain,
mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c1,c3]) ).
cnf(d5,plain,
rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
rd(X0,X0) = ld(X0,mult(X0,ld(X0,X0))),
inference(demodulation,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
rd(X0,X0) = ld(X0,ld(X0,mult(X0,X0))),
inference(demodulation,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
rd(X0,X0) = ld(X0,X0),
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
mult(rd(ld(X0,X0),X1),X1) = ld(X0,mult(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[d3,d8]) ).
cnf(d10,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(d11,plain,
mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(demodulation,[status(thm)],[d10,c3]) ).
cnf(d12,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,d11]) ).
cnf(d13,plain,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,ld(X0,mult(X0,X1)))),
inference(superposition,[status(thm)],[c2,d2]) ).
cnf(d14,plain,
ld(X0,mult(X0,X1)) = ld(X0,mult(X0,ld(X0,mult(X0,X1)))),
inference(demodulation,[status(thm)],[d13,c2]) ).
cnf(d15,plain,
ld(X0,mult(X0,X1)) = ld(X0,ld(X0,mult(X0,mult(X0,X1)))),
inference(demodulation,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
ld(X0,mult(X0,X1)) = ld(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
X0 = ld(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c0,d16]) ).
cnf(d18,plain,
mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[status(thm)],[d17,d12]) ).
cnf(d19,plain,
mult(X0,ld(X0,mult(X0,ld(X1,X1)))) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d18,d9]) ).
cnf(d20,plain,
ld(X0,mult(X0,mult(X0,ld(X1,X1)))) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d19,c2]) ).
cnf(d21,plain,
mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(demodulation,[status(thm)],[d20,d2]) ).
cnf(d22,plain,
mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[d4,d8]) ).
cnf(d23,plain,
mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[status(thm)],[d22,d11]) ).
cnf(d24,plain,
mult(ld(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
mult(rd(x6,x8),x8) != rd(mult(x6,rd(x7,x8)),rd(x7,x8)),
inference(demodulation,[status(thm)],[c7,c3]) ).
cnf(d26,plain,
mult(rd(x6,x8),x8) != mult(rd(x6,rd(x7,x8)),rd(x7,x8)),
inference(demodulation,[status(thm)],[d25,c3]) ).
cnf(d27,plain,
mult(rd(x6,x8),x8) != mult(ld(x6,x6),mult(rd(x6,x8),x8)),
inference(demodulation,[status(thm)],[d26,d23]) ).
cnf(d28,plain,
mult(rd(x6,x8),x8) != mult(x6,ld(x8,x8)),
inference(demodulation,[status(thm)],[d27,d24]) ).
cnf(d29,plain,
mult(ld(X1,mult(X1,rd(X0,X0))),X0) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[status(thm)],[d4,c4]) ).
cnf(d30,plain,
ld(X0,mult(X0,mult(rd(X1,X1),X1))) = ld(ld(X0,X2),mult(ld(X0,X2),X1)),
inference(demodulation,[status(thm)],[d29,d1]) ).
cnf(d31,plain,
ld(X1,mult(X1,mult(ld(X0,X0),X0))) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(demodulation,[status(thm)],[d30,d8]) ).
cnf(d32,plain,
ld(X1,mult(X1,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(demodulation,[status(thm)],[d31,d22]) ).
cnf(d33,plain,
ld(X0,X1) = ld(X0,mult(X0,ld(X0,X1))),
inference(superposition,[status(thm)],[d32,d17]) ).
cnf(d34,plain,
ld(X0,X1) = ld(X0,ld(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d33,c2]) ).
cnf(d35,plain,
ld(X0,mult(X0,ld(rd(X0,X0),rd(X0,X0)))) = rd(X0,X0),
inference(superposition,[status(thm)],[d3,d4]) ).
cnf(d36,plain,
ld(X0,mult(X0,ld(ld(X0,X0),rd(X0,X0)))) = rd(X0,X0),
inference(demodulation,[status(thm)],[d35,d8]) ).
cnf(d37,plain,
ld(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0)))) = rd(X0,X0),
inference(demodulation,[status(thm)],[d36,d8]) ).
cnf(d38,plain,
ld(X0,mult(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(X0,X0),
inference(demodulation,[status(thm)],[d37,d8]) ).
cnf(d39,plain,
mult(ld(X0,X0),X1) = ld(X0,mult(X0,mult(ld(ld(X0,X0),ld(X0,X0)),X1))),
inference(superposition,[status(thm)],[d38,d1]) ).
cnf(d40,plain,
ld(X0,mult(X0,mult(X0,mult(X0,X1)))) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d2,c2]) ).
cnf(d41,plain,
mult(X0,mult(X0,X1)) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d40,d2]) ).
cnf(d42,plain,
mult(ld(X0,X0),X0) = mult(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[d22,d41]) ).
cnf(d43,plain,
X0 = mult(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(demodulation,[status(thm)],[d42,d22]) ).
cnf(d44,plain,
X0 = mult(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[d43,d22]) ).
cnf(d45,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,mult(X0,ld(X0,X0))),
inference(superposition,[status(thm)],[d44,d39]) ).
cnf(d46,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,ld(X0,mult(X0,X0))),
inference(demodulation,[status(thm)],[d45,c2]) ).
cnf(d47,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[d46,d34]) ).
cnf(d48,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[d47,c0]) ).
cnf(d49,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),rd(X0,X0)),
inference(superposition,[status(thm)],[d8,d21]) ).
cnf(d50,plain,
mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(demodulation,[status(thm)],[d49,d8]) ).
cnf(d51,plain,
mult(rd(X0,X1),ld(X1,X1)) = mult(ld(rd(X0,X1),rd(X0,X1)),rd(X0,X1)),
inference(superposition,[status(thm)],[d8,d21]) ).
cnf(d52,plain,
mult(rd(X0,X1),ld(X1,X1)) = rd(X0,X1),
inference(demodulation,[status(thm)],[d51,d22]) ).
cnf(d53,plain,
ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[d47,d17]) ).
cnf(d54,plain,
mult(rd(X1,ld(X0,X0)),ld(X0,X0)) = rd(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[d53,d52]) ).
cnf(d55,plain,
mult(X0,ld(X1,X1)) = rd(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[d54,d50]) ).
cnf(d56,plain,
mult(ld(X0,X0),X0) = ld(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[d22,d2]) ).
cnf(d57,plain,
X0 = ld(ld(X0,X0),mult(ld(X0,X0),X0)),
inference(demodulation,[status(thm)],[d56,d22]) ).
cnf(d58,plain,
X0 = ld(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[d57,d22]) ).
cnf(d59,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)],[d22,c4]) ).
cnf(d60,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)],[d59,d1]) ).
cnf(d61,plain,
mult(X0,X1) = ld(ld(mult(X0,X1),mult(X0,X1)),mult(X0,X1)),
inference(demodulation,[status(thm)],[d60,c0]) ).
cnf(d62,plain,
mult(X0,X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[d61,d58]) ).
cnf(d63,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(superposition,[status(thm)],[d21,d62]) ).
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,d50]) ).
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(rd(X1,X0),rd(X0,ld(X0,X0))) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[status(thm)],[d68,d63]) ).
cnf(d70,plain,
mult(rd(X1,X0),mult(X0,ld(X0,X0))) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(demodulation,[status(thm)],[d69,d55]) ).
cnf(d71,plain,
mult(rd(X1,X0),ld(X0,mult(X0,X0))) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(demodulation,[status(thm)],[d70,c2]) ).
cnf(d72,plain,
mult(rd(X1,X0),X0) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(demodulation,[status(thm)],[d71,c0]) ).
cnf(d73,plain,
mult(rd(X1,X0),X0) = mult(X1,ld(X0,X0)),
inference(demodulation,[status(thm)],[d72,d48]) ).
cnf(d74,plain,
$false,
inference(resolution,[status(thm)],[d73,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP685-11 : 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 : n017.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 15:32:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.58/8.57 % SZS status Unsatisfiable for theBenchmark.p
% 48.58/8.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------