TSTP Solution File: SEU294+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 : Tue Jul 19 12:40:04 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 16 |; 8 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_finset_1,axiom,
! [A] :
( finite(A)
=> ! [B] :
( element(B,powerset(A))
=> finite(B) ) ) ).
fof(t13_finset_1,conjecture,
! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ) ).
fof(t3_subset,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
inference(strip,[],[t13_finset_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( ~ finite(A)
& finite(B)
& subset(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ finite(skolemFOFtoCNF_A_21)
& finite(skolemFOFtoCNF_B_5)
& subset(skolemFOFtoCNF_A_21,skolemFOFtoCNF_B_5) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
subset(skolemFOFtoCNF_A_21,skolemFOFtoCNF_B_5),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ element(A,powerset(B))
<=> ~ subset(A,B) ),
inference(canonicalize,[],[t3_subset]) ).
fof(normalize_0_4,plain,
! [A,B] :
( ~ element(A,powerset(B))
<=> ~ subset(A,B) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B] :
( ( ~ element(A,powerset(B))
| subset(A,B) )
& ( ~ subset(A,B)
| element(A,powerset(B)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] :
( ~ subset(A,B)
| element(A,powerset(B)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] :
( ~ finite(A)
| ! [B] :
( ~ element(B,powerset(A))
| finite(B) ) ),
inference(canonicalize,[],[cc2_finset_1]) ).
fof(normalize_0_8,plain,
! [A] :
( ~ finite(A)
| ! [B] :
( ~ element(B,powerset(A))
| finite(B) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ~ element(B,powerset(A))
| ~ finite(A)
| finite(B) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
finite(skolemFOFtoCNF_B_5),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
~ finite(skolemFOFtoCNF_A_21),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
subset(skolemFOFtoCNF_A_21,skolemFOFtoCNF_B_5),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ subset(A,B)
| element(A,powerset(B)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ subset(skolemFOFtoCNF_A_21,skolemFOFtoCNF_B_5)
| element(skolemFOFtoCNF_A_21,powerset(skolemFOFtoCNF_B_5)) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A_21)),bind(B,$fot(skolemFOFtoCNF_B_5))]]) ).
cnf(refute_0_3,plain,
element(skolemFOFtoCNF_A_21,powerset(skolemFOFtoCNF_B_5)),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A_21,skolemFOFtoCNF_B_5) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ element(B,powerset(A))
| ~ finite(A)
| finite(B) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ element(skolemFOFtoCNF_A_21,powerset(skolemFOFtoCNF_B_5))
| ~ finite(skolemFOFtoCNF_B_5)
| finite(skolemFOFtoCNF_A_21) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_5)),bind(B,$fot(skolemFOFtoCNF_A_21))]]) ).
cnf(refute_0_6,plain,
( ~ finite(skolemFOFtoCNF_B_5)
| finite(skolemFOFtoCNF_A_21) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_A_21,powerset(skolemFOFtoCNF_B_5)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
finite(skolemFOFtoCNF_B_5),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
finite(skolemFOFtoCNF_A_21),
inference(resolve,[$cnf( finite(skolemFOFtoCNF_B_5) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
~ finite(skolemFOFtoCNF_A_21),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( finite(skolemFOFtoCNF_A_21) )],[refute_0_8,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n016.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 : 600
% 0.12/0.33 % DateTime : Mon Jun 20 09:42:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.54
%------------------------------------------------------------------------------