%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE067+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 75.50s 9.83s
% Output : CNFRefutation 75.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% 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 : 14 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0,X1] : domain(addition(domain(X0),domain(X1))) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0,X1] : domain(addition(domain(X0),domain(X1))) = addition(domain(X0),domain(X1)),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(18,plain,
domain(addition(domain(sK1),domain(sK2))) != addition(domain(sK1),domain(sK2)),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
domain(addition(domain(sK1),domain(sK2))) != addition(domain(sK1),domain(sK2)),
inference(instantiation,[status(thm)],[18]) ).
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(l40,plain,
domain(addition(domain(sK1),domain(sK2))) = addition(domain(domain(sK1)),domain(domain(sK2))),
inference(instantiation,[status(thm)],[17]) ).
fof(multiplicative_left_identity,plain,
! [A] : multiplication(one,A) = A,
file('Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(6,plain,
multiplication(one,X0) = X0,
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
cnf(l32,plain,
multiplication(one,sK1) = sK1,
inference(instantiation,[status(thm)],[6]) ).
fof(domain2,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('Axioms/KLE001+5.ax',domain2) ).
cnf(14,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf,[status(esa)],[domain2]) ).
cnf(l34,plain,
domain(multiplication(one,sK1)) = domain(multiplication(one,domain(sK1))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l60,plain,
domain(multiplication(one,sK2)) = domain(multiplication(one,domain(sK2))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l39,plain,
multiplication(one,domain(sK1)) = domain(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l65,plain,
multiplication(one,domain(sK2)) = domain(sK2),
inference(instantiation,[status(thm)],[6]) ).
cnf(l52,plain,
multiplication(one,sK2) = sK2,
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l40,l32,l34,l60,l39,l65,l52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE067+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % 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 21:25:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 27.31/3.79 % launching worker at depth: 12
% 75.50/9.83 % SZS status Theorem for theBenchmark
% 75.50/9.83 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------