TSTP Solution File: KLE057+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 02:14:58 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 20 |; 2 &)
% ( 0 <=>; 3 =>; 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; 0-1 aty)
% Number of variables : 9 ( 0 sgn 3 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(domain4,axiom,
domain(zero) = zero ).
fof(goals,conjecture,
! [X0] :
( X0 = zero
=> domain(X0) = zero ) ).
fof(subgoal_0,plain,
! [X0] :
( X0 = zero
=> domain(X0) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( X0 = zero
=> domain(X0) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] :
( domain(X0) != zero
& X0 = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( domain(skolemFOFtoCNF_X0) != zero
& skolemFOFtoCNF_X0 = zero ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
domain(skolemFOFtoCNF_X0) != zero,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
skolemFOFtoCNF_X0 = zero,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
domain(zero) = zero,
inference(canonicalize,[],[domain4]) ).
cnf(refute_0_0,plain,
domain(skolemFOFtoCNF_X0) != zero,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
skolemFOFtoCNF_X0 = zero,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( skolemFOFtoCNF_X0 != zero
| zero = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(zero))]]) ).
cnf(refute_0_6,plain,
zero = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,zero) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( domain(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| zero != skolemFOFtoCNF_X0
| domain(skolemFOFtoCNF_X0) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(skolemFOFtoCNF_X0),zero) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_8,plain,
( domain(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| domain(skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X0) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
domain(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),zero) )],[refute_0_8,refute_0_0]) ).
cnf(refute_0_10,plain,
domain(zero) = zero,
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_11,plain,
domain(zero) = domain(zero),
introduced(tautology,[refl,[$fot(domain(zero))]]) ).
cnf(refute_0_12,plain,
( domain(zero) != domain(zero)
| zero != skolemFOFtoCNF_X0
| domain(zero) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(zero),domain(zero)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_13,plain,
( zero != skolemFOFtoCNF_X0
| domain(zero) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(domain(zero),domain(zero)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
domain(zero) = domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X0) )],[refute_0_6,refute_0_13]) ).
cnf(refute_0_15,plain,
( domain(zero) != domain(skolemFOFtoCNF_X0)
| domain(zero) != zero
| domain(skolemFOFtoCNF_X0) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain(zero),zero) ),[0],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_16,plain,
( domain(zero) != zero
| domain(skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(domain(zero),domain(skolemFOFtoCNF_X0)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( domain(skolemFOFtoCNF_X0) != zero
| zero != skolemFOFtoCNF_X0
| domain(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),[0],$fot(zero)]]) ).
cnf(refute_0_18,plain,
( domain(skolemFOFtoCNF_X0) != zero
| domain(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X0) )],[refute_0_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( domain(zero) != zero
| domain(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),zero) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
domain(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
( domain(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0
| domain(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_22,plain,
( skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0
| domain(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
skolemFOFtoCNF_X0 != skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_22,refute_0_9]) ).
cnf(refute_0_24,plain,
skolemFOFtoCNF_X0 = skolemFOFtoCNF_X0,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) )],[refute_0_24,refute_0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 10:01:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38
% 0.14/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.38
%------------------------------------------------------------------------------