%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE006+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 07:31:31 PM UTC 2025
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 33 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0] :
( test(X0)
=> one = addition(X0,c(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0] :
( test(X0)
=> one = addition(X0,c(X0)) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(22,plain,
test(sK3),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
test(sK3),
inference(instantiation,[status(thm)],[22]) ).
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(l1,plain,
( c(sK3) != addition(c(sK3),zero)
| ~ test(sK3)
| complement(sK3,addition(c(sK3),zero)) ),
inference(instantiation,[status(thm)],[19]) ).
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(17,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf,[status(esa)],[test_2]) ).
cnf(l3,plain,
( ~ complement(sK3,addition(c(sK3),zero))
| addition(addition(c(sK3),zero),sK3) = one ),
inference(instantiation,[status(thm)],[17]) ).
fof(additive_identity,plain,
! [A] : addition(A,zero) = A,
file('Axioms/KLE001+0.ax',additive_identity) ).
cnf(2,plain,
addition(X0,zero) = X0,
inference(cnf,[status(esa)],[additive_identity]) ).
cnf(l4,plain,
addition(c(sK3),zero) = c(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(23,plain,
one != addition(sK3,c(sK3)),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l11,plain,
one != addition(sK3,c(sK3)),
inference(instantiation,[status(thm)],[23]) ).
fof(additive_commutativity,plain,
! [A,B] : addition(A,B) = addition(B,A),
file('Axioms/KLE001+0.ax',additive_commutativity) ).
cnf(0,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf,[status(esa)],[additive_commutativity]) ).
cnf(l35,plain,
addition(sK3,c(sK3)) = addition(c(sK3),sK3),
inference(instantiation,[status(thm)],[0]) ).
cnf(l45,plain,
addition(c(sK3),zero) = c(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l11,l35,l45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE006+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.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 21:04:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------