%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP703-12 : 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 : n018.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 07:24:31 AM UTC 2026
% Result : Unsatisfiable 33.27s 9.47s
% Output : CNFRefutation 33.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 10 RR)
% Number of literals : 43 ( 42 equ; 7 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 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(X0,unit) = X0 ).
cnf(f06,axiom,
mult(unit,X0) = X0 ).
cnf(f09,axiom,
mult(X0,mult(X1,'op$uc')) = mult(mult(X0,X1),'op$uc') ).
cnf(f10,axiom,
mult(X0,mult('op$uc',X1)) = mult(mult(X0,'op$uc'),X1) ).
cnf(f11,axiom,
'op$ud' = ld(X0,mult('op$uc',X0)) ).
cnf(f12,axiom,
'op$ue' = mult(mult(rd('op$uc',mult(X0,X1)),X1),X0) ).
cnf(goal,negated_conjecture,
mult(x2,mult('op$ue',x3)) != mult(mult(x2,'op$ue'),x3) ).
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(X0,unit) = X0,
inference(clausification,[status(esa)],[f05]) ).
cnf(c5,plain,
mult(unit,X0) = X0,
inference(clausification,[status(esa)],[f06]) ).
cnf(c8,plain,
mult(X0,mult(X1,'op$uc')) = mult(mult(X0,X1),'op$uc'),
inference(clausification,[status(esa)],[f09]) ).
cnf(c9,plain,
mult(X0,mult('op$uc',X1)) = mult(mult(X0,'op$uc'),X1),
inference(clausification,[status(esa)],[f10]) ).
cnf(c10,plain,
'op$ud' = ld(X0,mult('op$uc',X0)),
inference(clausification,[status(esa)],[f11]) ).
cnf(c11,plain,
'op$ue' = mult(mult(rd('op$uc',mult(X0,X1)),X1),X0),
inference(clausification,[status(esa)],[f12]) ).
cnf(c13,plain,
mult(x2,mult('op$ue',x3)) != mult(mult(x2,'op$ue'),x3),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
'op$ud' = 'op$uc',
inference(superposition,[status(thm)],[c10,c1]) ).
cnf(d1,plain,
mult(X0,'op$ud') = mult('op$uc',X0),
inference(superposition,[status(thm)],[c10,c0]) ).
cnf(d2,plain,
mult(X0,'op$uc') = mult('op$uc',X0),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
mult(X0,mult(X1,'op$uc')) = mult('op$uc',mult(X0,X1)),
inference(demodulation,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
mult(X1,mult('op$uc',X0)) = mult('op$uc',mult(X1,X0)),
inference(superposition,[status(thm)],[d2,d3]) ).
cnf(d5,plain,
rd(X0,unit) = X0,
inference(superposition,[status(thm)],[c4,c2]) ).
cnf(d6,plain,
X0 = mult(X0,unit),
inference(superposition,[status(thm)],[c3,d5]) ).
cnf(d7,plain,
mult(rd('op$uc',mult(unit,X0)),X0) = 'op$ue',
inference(superposition,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
mult(rd('op$uc',X0),X0) = 'op$ue',
inference(demodulation,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
'op$uc' = 'op$ue',
inference(demodulation,[status(thm)],[d8,c2]) ).
cnf(d10,plain,
mult(x2,mult('op$uc',x3)) != mult(mult(x2,'op$ue'),x3),
inference(demodulation,[status(thm)],[c13,d9]) ).
cnf(d11,plain,
mult(x2,mult('op$uc',x3)) != mult(mult(x2,'op$uc'),x3),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
mult('op$uc',mult(x2,x3)) != mult(mult(x2,'op$uc'),x3),
inference(demodulation,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
mult('op$uc',mult(x2,x3)) != mult(x2,mult('op$uc',x3)),
inference(demodulation,[status(thm)],[d12,c9]) ).
cnf(d14,plain,
mult('op$uc',mult(x2,x3)) != mult('op$uc',mult(x2,x3)),
inference(demodulation,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
'op$ud' = ld(ld('op$uc',X0),X0),
inference(superposition,[status(thm)],[c0,c10]) ).
cnf(d16,plain,
'op$uc' = ld(ld('op$uc',X0),X0),
inference(demodulation,[status(thm)],[d15,d0]) ).
cnf(d17,plain,
mult(ld('op$uc',X0),'op$uc') = X0,
inference(superposition,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
mult('op$uc',ld('op$uc',X0)) = X0,
inference(demodulation,[status(thm)],[d17,d2]) ).
cnf(d19,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 15:40:57 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.27/9.47 % SZS status Unsatisfiable for theBenchmark.p
% 33.27/9.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------