%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP657-10 : 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 : n007.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 95.32s 12.68s
% Output : CNFRefutation 95.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 5 RR)
% Number of literals : 33 ( 32 equ; 4 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; 0 con; 1-2 aty)
% Number of variables : 75 ( 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,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)) ).
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,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
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,
mult(X1,mult(X2,X0)) = mult(X0,mult(mult(ld(X0,X1),X2),X0)),
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d1,plain,
ld(mult(X0,X1),mult(X0,mult(mult(X1,X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c4,c1]) ).
cnf(d2,plain,
ld(X1,mult(X0,mult(mult(ld(X0,X1),X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
ld(X1,mult(X1,mult(X2,X0))) = mult(X2,X0),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
mult(X1,X2) = mult(X1,X2),
inference(demodulation,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
X0 = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)) = mult(X0,X1),
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d7,plain,
rd(mult(X2,mult(X0,X2)),mult(X1,X2)) = mult(X2,rd(X0,X1)),
inference(superposition,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
mult(X0,rd(X1,X1)) = X0,
inference(superposition,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
ld(X0,X0) = rd(X1,X1),
inference(superposition,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
rd(X1,X1) = rd(X2,X2),
inference(superposition,[status(thm)],[d9,d9]) ).
cnf(d11,plain,
X0 = mult(rd(X1,X1),X0),
inference(superposition,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
tuple(mult(rd(X0,X0),x1(rd(X0,X0))),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(rd(X0,X0))),
inference(superposition,[status(thm)],[d8,c5]) ).
cnf(d13,plain,
tuple(x1(rd(X0,X0)),'x1$u2'(rd(X0,X0))) != tuple(x1(rd(X0,X0)),'x1$u2'(rd(X0,X0))),
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
ld(mult(X0,mult(mult(X1,X2),X0)),mult(mult(X0,X1),mult(mult(mult(X2,X0),X3),mult(X0,X1)))) = mult(X3,mult(X0,X1)),
inference(superposition,[status(thm)],[c4,d1]) ).
cnf(d15,plain,
mult(mult(X1,X2),X0) = mult(X1,mult(mult(X2,rd(X0,X1)),X1)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d16,plain,
ld(mult(X0,mult(mult(X1,X2),X0)),mult(mult(mult(X0,X1),mult(X2,X0)),X3)) = mult(rd(X3,mult(X0,X1)),mult(X0,X1)),
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
ld(mult(X0,mult(mult(X1,X2),X0)),mult(mult(X0,mult(mult(X1,X2),X0)),X3)) = mult(rd(X3,mult(X0,X1)),mult(X0,X1)),
inference(demodulation,[status(thm)],[d16,c4]) ).
cnf(d18,plain,
X3 = mult(rd(X3,mult(X0,X1)),mult(X0,X1)),
inference(demodulation,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP657-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n007.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 25 15:29:23 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.32/12.68 % SZS status Unsatisfiable for theBenchmark.p
% 95.32/12.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------