%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KLE058+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 : n005.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 13.75s 2.26s
% Output : CNFRefutation 13.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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; 2 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0) ).
fof(additive_identity,axiom,
! [X0] : addition(X0,zero) = X0 ).
fof(multiplicative_right_identity,axiom,
! [X0] : multiplication(X0,one) = X0 ).
fof(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ).
fof(domain3,axiom,
! [X0] : addition(domain(X0),one) = one ).
fof(domain4,axiom,
domain(zero) = zero ).
fof(goals,conjecture,
domain(one) = one ).
fof(negated_conjecture,negated_conjecture,
domain(one) != one,
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c0,plain,
addition(X0,X1) = addition(X1,X0),
inference(clausification,[status(esa)],[additive_commutativity]) ).
cnf(c2,plain,
addition(X0,zero) = X0,
inference(clausification,[status(esa)],[additive_identity]) ).
cnf(c5,plain,
multiplication(X0,one) = X0,
inference(clausification,[status(esa)],[multiplicative_right_identity]) ).
cnf(c13,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(clausification,[status(esa)],[domain1]) ).
cnf(c15,plain,
addition(domain(X0),one) = one,
inference(clausification,[status(esa)],[domain3]) ).
cnf(c16,plain,
domain(zero) = zero,
inference(clausification,[status(esa)],[domain4]) ).
cnf(c18,plain,
domain(one) != one,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
addition(one,domain(X0)) = one,
inference(demodulation,[status(thm)],[c15,c0]) ).
cnf(d1,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(superposition,[status(thm)],[c5,c13]) ).
cnf(d2,plain,
one = multiplication(domain(one),one),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
one = domain(one),
inference(demodulation,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
one != one,
inference(demodulation,[status(thm)],[c18,d3]) ).
cnf(d5,plain,
addition(one,zero) = one,
inference(superposition,[status(thm)],[c16,d0]) ).
cnf(d6,plain,
one = one,
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE058+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 19:18:46 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.75/2.26 % SZS status Theorem for theBenchmark.p
% 13.75/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------