%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE002+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 : n023.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 43.00s 5.72s
% Output : CNFRefutation 43.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 4 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0,X1,X2] :
( leq(X0,X1)
=> leq(multiplication(X0,X2),multiplication(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0,X1,X2] :
( leq(X0,X1)
=> leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(13,plain,
leq(sK1,sK2),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
leq(sK1,sK2),
inference(instantiation,[status(thm)],[13]) ).
fof(order,plain,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('Axioms/KLE001+0.ax',order) ).
cnf(11,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf,[status(esa)],[order]) ).
cnf(l1,plain,
( ~ leq(sK1,sK2)
| addition(sK1,sK2) = sK2 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf,[status(esa)],[order]) ).
cnf(l46,plain,
( addition(multiplication(sK1,sK3),multiplication(sK2,sK3)) != multiplication(sK2,sK3)
| leq(multiplication(sK1,sK3),multiplication(sK2,sK3)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
~ leq(multiplication(sK1,sK3),multiplication(sK2,sK3)),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l48,plain,
~ leq(multiplication(sK1,sK3),multiplication(sK2,sK3)),
inference(instantiation,[status(thm)],[14]) ).
fof(left_distributivity,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('Axioms/KLE001+0.ax',left_distributivity) ).
cnf(8,plain,
multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf,[status(esa)],[left_distributivity]) ).
cnf(l63,plain,
multiplication(addition(sK1,sK2),sK3) = addition(multiplication(sK1,sK3),multiplication(sK2,sK3)),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l46,l48,l63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE002+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
% 0.13/0.34 % Computer : n023.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 :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 1
% 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: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.45 % launching worker at depth: 11
% 43.00/5.72 % SZS status Theorem for theBenchmark
% 43.00/5.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------