%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE051+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 : 600s
% DateTime : Sun Jul 17 02:14:56 EDT 2022
% Result : Theorem 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 14 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(goals,conjecture,
! [X0] : addition(X0,X0) = X0 ).
fof(subgoal_0,plain,
! [X0] : addition(X0,X0) = X0,
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : addition(X0,X0) = X0,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : addition(X0,X0) != X0,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_3,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3,plain,
( addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0
| addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4,plain,
( skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0
| addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
skolemFOFtoCNF_X0 = skolemFOFtoCNF_X0,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) )],[refute_0_6,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE051+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Thu Jun 16 11:35:29 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.16/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.33
% 0.16/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.16/0.33
%------------------------------------------------------------------------------