%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE138+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 : n025.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 07:31:44 PM UTC 2025
% Result : Theorem 23.55s 3.34s
% Output : CNFRefutation 23.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 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 : 10 ( 1 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
strong_iteration(zero) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
strong_iteration(zero) != one,
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(19,plain,
strong_iteration(zero) != one,
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
strong_iteration(zero) != one,
inference(instantiation,[status(thm)],[19]) ).
fof(additive_commutativity,plain,
! [A,B] : addition(A,B) = addition(B,A),
file('Axioms/KLE004+0.ax',additive_commutativity) ).
cnf(0,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf,[status(esa)],[additive_commutativity]) ).
cnf(l10,plain,
addition(multiplication(zero,strong_iteration(zero)),one) = addition(one,multiplication(zero,strong_iteration(zero))),
inference(instantiation,[status(thm)],[0]) ).
fof(infty_unfold1,plain,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
file('Axioms/KLE004+0.ax',infty_unfold1) ).
cnf(14,plain,
strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf,[status(esa)],[infty_unfold1]) ).
cnf(l6,plain,
strong_iteration(zero) = addition(multiplication(zero,strong_iteration(zero)),one),
inference(instantiation,[status(thm)],[14]) ).
fof(additive_identity,plain,
! [A] : addition(A,zero) = A,
file('Axioms/KLE004+0.ax',additive_identity) ).
cnf(2,plain,
addition(X0,zero) = X0,
inference(cnf,[status(esa)],[additive_identity]) ).
cnf(l3,plain,
addition(one,zero) = one,
inference(instantiation,[status(thm)],[2]) ).
fof(left_annihilation,plain,
! [A] : multiplication(zero,A) = zero,
file('Axioms/KLE004+0.ax',left_annihilation) ).
cnf(9,plain,
multiplication(zero,X0) = zero,
inference(cnf,[status(esa)],[left_annihilation]) ).
cnf(l15,plain,
multiplication(zero,strong_iteration(zero)) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l6,l3,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE138+1 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 21:42:34 EDT 2025
% 0.20/0.34 % CPUTime :
% 0.20/0.34 % launching worker at depth: 1
% 0.20/0.34 % launching worker at depth: 3
% 0.20/0.34 % launching worker at depth: 4
% 0.20/0.34 % launching worker at depth: 5
% 0.20/0.34 % launching worker at depth: 2
% 0.20/0.34 % launching worker at depth: 6
% 0.20/0.34 % launching worker at depth: 7
% 0.20/0.34 % launching worker at depth: 8
% 0.20/0.34 % launching worker at depth: 9
% 0.20/0.34 % launching worker at depth: 10
% 0.20/0.36 % launching worker at depth: 11
% 23.55/3.34 % SZS status Theorem for theBenchmark
% 23.55/3.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------