TSTP Solution File: KLE003+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE003+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 02:14:30 EDT 2022
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 20 unt; 0 def)
% Number of atoms : 44 ( 42 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 6 |; 2 &)
% ( 1 <=>; 4 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(goals,conjecture,
( ! [X0] : addition(X0,X0) = X0
<=> addition(one,one) = one ) ).
fof(subgoal_0,plain,
( ! [X0] : addition(X0,X0) = X0
=> addition(one,one) = one ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
( addition(one,one) = one
=> ! [X0] : addition(X0,X0) = X0 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ( ! [X0] : addition(X0,X0) = X0
=> addition(one,one) = one ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( addition(one,one) != one
& ! [X0] : addition(X0,X0) = X0 ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
addition(one,one) != one,
inference(conjunct,[],[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(one,one) != one,
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(one,one) = one,
inference(subst,[],[refute_0_1:[bind(A,$fot(one))]]) ).
cnf(refute_0_3,plain,
( addition(one,one) != one
| one != one
| addition(one,one) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,one),one) ),[0],$fot(one)]]) ).
cnf(refute_0_4,plain,
( one != one
| addition(one,one) = one ),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
one != one,
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
one = one,
introduced(tautology,[refl,[$fot(one)]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( $equal(one,one) )],[refute_0_6,refute_0_5]) ).
fof(negate_1_0,plain,
~ ( addition(one,one) = one
=> ! [X0] : addition(X0,X0) = X0 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( addition(one,one) = one
& ? [X0] : addition(X0,X0) != X0 ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
? [X0] : addition(X0,X0) != X0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(skolemize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_1_4,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_1_1:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_1_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_1_4,plain,
( skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0
| addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_1_4,refute_1_0]) ).
cnf(refute_1_6,plain,
skolemFOFtoCNF_X0 = skolemFOFtoCNF_X0,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_1_7,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) )],[refute_1_6,refute_1_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 12:32:00 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.37
%------------------------------------------------------------------------------