%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE070+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 07:31:38 PM UTC 2025
% Result : Theorem 220.76s 27.97s
% Output : CNFRefutation 220.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(18,plain,
addition(domain(sK1),multiplication(domain(sK1),domain(sK2))) != domain(sK1),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
addition(domain(sK1),multiplication(domain(sK1),domain(sK2))) != domain(sK1),
inference(instantiation,[status(thm)],[18]) ).
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(l5,plain,
addition(multiplication(domain(sK1),one),multiplication(domain(sK1),domain(sK2))) = addition(multiplication(domain(sK1),domain(sK2)),multiplication(domain(sK1),one)),
inference(instantiation,[status(thm)],[0]) ).
fof(multiplicative_right_identity,plain,
! [A] : multiplication(A,one) = A,
file('Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(5,plain,
multiplication(X0,one) = X0,
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
cnf(l37,plain,
multiplication(domain(sK1),one) = domain(sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l73,plain,
multiplication(domain(sK1),one) = domain(sK1),
inference(instantiation,[status(thm)],[5]) ).
fof(right_distributivity,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('Axioms/KLE001+0.ax',right_distributivity) ).
cnf(7,plain,
multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf,[status(esa)],[right_distributivity]) ).
cnf(l71,plain,
multiplication(domain(sK1),addition(domain(sK2),one)) = addition(multiplication(domain(sK1),domain(sK2)),multiplication(domain(sK1),one)),
inference(instantiation,[status(thm)],[7]) ).
fof(domain3,plain,
! [X0] : addition(domain(X0),one) = one,
file('Axioms/KLE001+5.ax',domain3) ).
cnf(15,plain,
addition(domain(X0),one) = one,
inference(cnf,[status(esa)],[domain3]) ).
cnf(l76,plain,
addition(domain(sK2),one) = one,
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l37,l73,l71,l76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KLE070+1 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.26 % Computer : n023.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Sun Jul 20 21:25:33 EDT 2025
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % launching worker at depth: 2
% 0.08/0.26 % launching worker at depth: 1
% 0.08/0.26 % launching worker at depth: 3
% 0.08/0.26 % launching worker at depth: 6
% 0.08/0.26 % launching worker at depth: 5
% 0.08/0.26 % launching worker at depth: 4
% 0.08/0.26 % launching worker at depth: 7
% 0.08/0.26 % launching worker at depth: 8
% 0.08/0.26 % launching worker at depth: 9
% 0.08/0.26 % launching worker at depth: 10
% 0.08/0.27 % launching worker at depth: 11
% 29.91/4.07 % launching worker at depth: 12
% 220.76/27.97 % SZS status Theorem for theBenchmark
% 220.76/27.97 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------