%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE005+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 07:31:30 PM UTC 2025
% Result : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 31 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 8 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
c(one) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
c(one) != zero,
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(22,plain,
c(one) != zero,
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
c(one) != zero,
inference(instantiation,[status(thm)],[22]) ).
fof(multiplicative_left_identity,plain,
! [A] : multiplication(one,A) = A,
file('Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(6,plain,
multiplication(one,X0) = X0,
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
cnf(l4,plain,
multiplication(one,c(one)) = c(one),
inference(instantiation,[status(thm)],[6]) ).
fof(test_2,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('Axioms/KLE001+1.ax',test_2) ).
cnf(16,plain,
( ~ complement(X0,X1)
| multiplication(X0,X1) = zero ),
inference(cnf,[status(esa)],[test_2]) ).
cnf(l3,plain,
( ~ complement(one,c(one))
| multiplication(one,c(one)) = zero ),
inference(instantiation,[status(thm)],[16]) ).
fof(test_3,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('Axioms/KLE001+1.ax',test_3) ).
cnf(19,plain,
( c(X0) != X1
| ~ test(X0)
| complement(X0,X1) ),
inference(cnf,[status(esa)],[test_3]) ).
cnf(l9,plain,
( c(one) != c(one)
| ~ test(one)
| complement(one,c(one)) ),
inference(instantiation,[status(thm)],[19]) ).
fof(test_4,plain,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('Axioms/KLE001+1.ax',test_4) ).
cnf(21,plain,
( c(X0) = zero
| test(X0) ),
inference(cnf,[status(esa)],[test_4]) ).
cnf(l13,plain,
( c(one) = zero
| test(one) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l3,l9,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE005+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 21:04:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------