%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KLE056+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 : n026.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 9.97s 3.22s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 14 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_identity,axiom,
! [X0] : addition(X0,zero) = X0 ).
fof(left_annihilation,axiom,
! [X0] : multiplication(zero,X0) = zero ).
fof(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ).
fof(goals,conjecture,
! [X0] :
( domain(X0) = zero
=> X0 = zero ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( domain(X0) = zero
=> X0 = zero ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c2,plain,
addition(X0,zero) = X0,
inference(clausification,[status(esa)],[additive_identity]) ).
cnf(c10,plain,
multiplication(zero,X0) = zero,
inference(clausification,[status(esa)],[left_annihilation]) ).
cnf(c13,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(clausification,[status(esa)],[domain1]) ).
cnf(c18,plain,
domain(sK28) = zero,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
sK28 != zero,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
addition(sK28,multiplication(zero,sK28)) = multiplication(domain(sK28),sK28),
inference(superposition,[status(thm)],[c18,c13]) ).
cnf(d1,plain,
addition(sK28,zero) = multiplication(domain(sK28),sK28),
inference(demodulation,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
sK28 = multiplication(domain(sK28),sK28),
inference(demodulation,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
sK28 = multiplication(zero,sK28),
inference(demodulation,[status(thm)],[d2,c18]) ).
cnf(d4,plain,
sK28 = zero,
inference(demodulation,[status(thm)],[d3,c10]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c19,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE056+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
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 19:21:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.97/3.22 % SZS status Theorem for theBenchmark.p
% 9.97/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------