%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP703-10 : 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 : n009.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 34.37s 4.98s
% Output : CNFRefutation 34.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 8 RR)
% Number of literals : 37 ( 36 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 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(f08,axiom,
mult('op$uc',mult(X0,X1)) = mult(mult('op$uc',X0),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('op$ue',mult(x2,x3)) != mult(mult('op$ue',x2),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(c7,plain,
mult('op$uc',mult(X0,X1)) = mult(mult('op$uc',X0),X1),
inference(clausification,[status(esa)],[f08]) ).
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('op$ue',mult(x2,x3)) != mult(mult('op$ue',x2),x3),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
rd(X0,unit) = X0,
inference(superposition,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
X0 = mult(X0,unit),
inference(superposition,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
mult(rd('op$uc',mult(unit,X0)),X0) = 'op$ue',
inference(superposition,[status(thm)],[c11,d1]) ).
cnf(d3,plain,
mult(rd('op$uc',X0),X0) = 'op$ue',
inference(demodulation,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
'op$uc' = 'op$ue',
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
mult('op$uc',mult(x2,x3)) != mult(mult('op$ue',x2),x3),
inference(demodulation,[status(thm)],[c13,d4]) ).
cnf(d6,plain,
mult('op$uc',mult(x2,x3)) != mult(mult('op$uc',x2),x3),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
mult('op$uc',mult(x2,x3)) != mult('op$uc',mult(x2,x3)),
inference(demodulation,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
'op$ud' = 'op$uc',
inference(superposition,[status(thm)],[c10,c1]) ).
cnf(d9,plain,
mult(X0,'op$ud') = mult('op$uc',X0),
inference(superposition,[status(thm)],[c10,c0]) ).
cnf(d10,plain,
mult(X0,'op$uc') = mult('op$uc',X0),
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
'op$ud' = ld(ld('op$uc',X0),X0),
inference(superposition,[status(thm)],[c0,c10]) ).
cnf(d12,plain,
'op$uc' = ld(ld('op$uc',X0),X0),
inference(demodulation,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
mult(ld('op$uc',X0),'op$uc') = X0,
inference(superposition,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
mult('op$uc',ld('op$uc',X0)) = X0,
inference(demodulation,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 15:39:00 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.37/4.98 % SZS status Unsatisfiable for theBenchmark.p
% 34.37/4.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------