%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE072+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 : 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 07:31:38 PM UTC 2025
% Result : Theorem 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 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 : 16 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(18,plain,
domain(multiplication(addition(sK1,sK2),domain(sK3))) != addition(domain(multiplication(sK1,domain(sK3))),domain(multiplication(sK2,domain(sK3)))),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
domain(multiplication(addition(sK1,sK2),domain(sK3))) != addition(domain(multiplication(sK1,domain(sK3))),domain(multiplication(sK2,domain(sK3)))),
inference(instantiation,[status(thm)],[18]) ).
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(l4,plain,
multiplication(addition(sK1,sK2),domain(sK3)) = addition(multiplication(sK1,domain(sK3)),multiplication(sK2,domain(sK3))),
inference(instantiation,[status(thm)],[8]) ).
fof(domain5,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('Axioms/KLE001+5.ax',domain5) ).
cnf(17,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf,[status(esa)],[domain5]) ).
cnf(l3,plain,
domain(addition(multiplication(sK1,domain(sK3)),multiplication(sK2,domain(sK3)))) = addition(domain(multiplication(sK1,domain(sK3))),domain(multiplication(sK2,domain(sK3)))),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE072+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 21:26:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.18/0.33 % launching worker at depth: 9
% 0.18/0.33 % launching worker at depth: 10
% 0.18/0.34 % SZS status Theorem for theBenchmark
% 0.18/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------