%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP679-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 07:24:27 AM UTC 2026
% Result : Unsatisfiable 2.10s 6.82s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 6 RR)
% Number of literals : 33 ( 32 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X0,ld(X0,X1)) = X1 ).
cnf(c02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(c03,axiom,
mult(rd(X0,X1),X1) = X0 ).
cnf(c04,axiom,
rd(mult(X0,X1),X1) = X0 ).
cnf(c06,axiom,
mult(unit,X0) = X0 ).
cnf(c07,axiom,
mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2) ).
cnf(c08,axiom,
mult('op$uc',X0) = mult(X0,'op$uc') ).
cnf(goals,negated_conjecture,
mult(mult('op$uc','op$uc'),a) != mult(a,mult('op$uc','op$uc')) ).
cnf(c_0,plain,
mult(X0,ld(X0,X1)) = X1,
inference(clausification,[status(esa)],[c01]) ).
cnf(c_1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[c02]) ).
cnf(c_2,plain,
mult(rd(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[c03]) ).
cnf(c_3,plain,
rd(mult(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[c04]) ).
cnf(c_5,plain,
mult(unit,X0) = X0,
inference(clausification,[status(esa)],[c06]) ).
cnf(c_6,plain,
mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
inference(clausification,[status(esa)],[c07]) ).
cnf(c_7,plain,
mult('op$uc',X0) = mult(X0,'op$uc'),
inference(clausification,[status(esa)],[c08]) ).
cnf(c_8,plain,
mult(mult('op$uc','op$uc'),a) != mult(a,mult('op$uc','op$uc')),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_5,c_6]) ).
cnf(d1,plain,
mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[d0,c_5]) ).
cnf(d2,plain,
rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[d1,c_3]) ).
cnf(d3,plain,
ld(X0,mult('op$uc',X0)) = 'op$uc',
inference(superposition,[status(thm)],[c_7,c_1]) ).
cnf(d4,plain,
mult(X0,'op$uc') = mult('op$uc',X0),
inference(superposition,[status(thm)],[d3,c_0]) ).
cnf(d5,plain,
rd(mult('op$uc',mult(X0,'op$uc')),X0) = mult('op$uc','op$uc'),
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
mult(mult('op$uc','op$uc'),X0) = mult('op$uc',mult(X0,'op$uc')),
inference(superposition,[status(thm)],[d5,c_2]) ).
cnf(d7,plain,
mult('op$uc',mult('op$uc',X0)) = mult('op$uc',mult(X0,'op$uc')),
inference(demodulation,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
ld('op$uc',mult(X0,'op$uc')) = X0,
inference(superposition,[status(thm)],[c_7,c_1]) ).
cnf(d9,plain,
ld('op$uc',mult(X0,mult(X1,mult(X0,'op$uc')))) = mult(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_6,d8]) ).
cnf(d10,plain,
mult('op$uc',mult(X0,'op$uc')) = mult(X0,mult('op$uc','op$uc')),
inference(superposition,[status(thm)],[d9,c_1]) ).
cnf(d11,plain,
mult('op$uc',mult('op$uc',a)) != mult(a,mult('op$uc','op$uc')),
inference(demodulation,[status(thm)],[c_8,d1]) ).
cnf(d12,plain,
mult('op$uc',mult('op$uc',a)) != mult('op$uc',mult(a,'op$uc')),
inference(demodulation,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
mult('op$uc',mult('op$uc',a)) != mult('op$uc',mult('op$uc',a)),
inference(demodulation,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
ld('op$uc',mult('op$uc',X0)) = X0,
inference(superposition,[status(thm)],[c_7,d8]) ).
cnf(d15,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d14,c_1]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP679-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 15:38:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.10/6.82 % SZS status Unsatisfiable for theBenchmark.p
% 2.10/6.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------