%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP709-1 : 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 : 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 07:24:32 AM UTC 2026
% Result : Unsatisfiable 45.29s 7.06s
% Output : CNFRefutation 45.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 7 RR)
% Number of literals : 20 ( 19 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(c09,axiom,
mult(X0,mult(X1,'op$uc')) = mult(mult(X0,X1),'op$uc') ).
cnf(goals,negated_conjecture,
mult(mult('op$uc','op$uc'),mult(a,b)) != mult(mult(mult('op$uc','op$uc'),a),b) ).
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(X0,mult(X1,'op$uc')) = mult(mult(X0,X1),'op$uc'),
inference(clausification,[status(esa)],[c09]) ).
cnf(c_9,plain,
mult(mult('op$uc','op$uc'),mult(a,b)) != mult(mult(mult('op$uc','op$uc'),a),b),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(X0,mult(X1,'op$uc')) = mult('op$uc',mult(X0,X1)),
inference(demodulation,[status(thm)],[c_8,c_7]) ).
cnf(d1,plain,
mult(X1,mult('op$uc',X0)) = mult('op$uc',mult(X1,X0)),
inference(superposition,[status(thm)],[c_7,d0]) ).
cnf(d2,plain,
mult('op$uc',mult(X0,mult('op$uc',X1))) = mult(mult('op$uc',mult('op$uc',X0)),X1),
inference(superposition,[status(thm)],[c_7,c_6]) ).
cnf(d3,plain,
mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_5,c_6]) ).
cnf(d4,plain,
mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[d3,c_5]) ).
cnf(d5,plain,
mult('op$uc',mult('op$uc',mult(a,b))) != mult(mult(mult('op$uc','op$uc'),a),b),
inference(demodulation,[status(thm)],[c_9,d4]) ).
cnf(d6,plain,
mult('op$uc',mult('op$uc',mult(a,b))) != mult(mult('op$uc',mult('op$uc',a)),b),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
mult('op$uc',mult('op$uc',mult(a,b))) != mult('op$uc',mult(a,mult('op$uc',b))),
inference(demodulation,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
mult('op$uc',mult('op$uc',mult(a,b))) != mult('op$uc',mult('op$uc',mult(a,b))),
inference(demodulation,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d1,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 15:37:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.29/7.06 % SZS status Unsatisfiable for theBenchmark.p
% 45.29/7.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------