%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KLE057+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 07:43:31 AM UTC 2026
% Result : Theorem 14.38s 2.43s
% Output : CNFRefutation 14.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(domain4,axiom,
domain(zero) = zero ).
fof(goals,conjecture,
! [X0] :
( X0 = zero
=> domain(X0) = zero ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( X0 = zero
=> domain(X0) = zero ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c16,plain,
domain(zero) = zero,
inference(clausification,[status(esa)],[domain4]) ).
cnf(c18,plain,
sK28 = zero,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
domain(sK28) != zero,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
domain(zero) != zero,
inference(demodulation,[status(thm)],[c19,c18]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE057+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 19:18:51 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.38/2.43 % SZS status Theorem for theBenchmark.p
% 14.38/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------