TSTP Solution File: SEU139+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU139+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 12:38:39 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 77 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 83 ( 41 ~; 25 |; 9 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 37 ( 1 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ) ).
fof(d8_xboole_0,axiom,
! [A,B] :
( proper_subset(A,B)
<=> ( subset(A,B)
& A != B ) ) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [A,B] : ~ proper_subset(A,A) ).
fof(t60_xboole_1,conjecture,
! [A,B] :
~ ( subset(A,B)
& proper_subset(B,A) ) ).
fof(subgoal_0,plain,
! [A,B] :
( subset(A,B)
=> ~ proper_subset(B,A) ),
inference(strip,[],[t60_xboole_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( subset(A,B)
=> ~ proper_subset(B,A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( proper_subset(B,A)
& subset(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A)
& subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ proper_subset(A,B)
<=> ( ~ subset(A,B)
| A = B ) ),
inference(canonicalize,[],[d8_xboole_0]) ).
fof(normalize_0_4,plain,
! [A,B] :
( ~ proper_subset(A,B)
<=> ( ~ subset(A,B)
| A = B ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B] :
( ( A != B
| ~ proper_subset(A,B) )
& ( ~ proper_subset(A,B)
| subset(A,B) )
& ( ~ subset(A,B)
| A = B
| proper_subset(A,B) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] :
( ~ proper_subset(A,B)
| subset(A,B) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B] :
( A != B
<=> ( ~ subset(A,B)
| ~ subset(B,A) ) ),
inference(canonicalize,[],[d10_xboole_0]) ).
fof(normalize_0_8,plain,
! [A,B] :
( A != B
<=> ( ~ subset(A,B)
| ~ subset(B,A) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ( A != B
| subset(A,B) )
& ( A != B
| subset(B,A) )
& ( ~ subset(A,B)
| ~ subset(B,A)
| A = B ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] :
( ~ subset(A,B)
| ~ subset(B,A)
| A = B ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
! [A] : ~ proper_subset(A,A),
inference(canonicalize,[],[irreflexivity_r2_xboole_0]) ).
fof(normalize_0_13,plain,
! [A] : ~ proper_subset(A,A),
inference(specialize,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ proper_subset(A,B)
| subset(A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A)
| subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_3,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A),
inference(resolve,[$cnf( proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ subset(A,B)
| ~ subset(B,A)
| A = B ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A)
| skolemFOFtoCNF_B = skolemFOFtoCNF_A ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_6,plain,
( ~ subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| skolemFOFtoCNF_B = skolemFOFtoCNF_A ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
skolemFOFtoCNF_B = skolemFOFtoCNF_A,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
( skolemFOFtoCNF_B != skolemFOFtoCNF_A
| ~ proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A)
| proper_subset(skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
introduced(tautology,[equality,[$cnf( proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A) ),[0],$fot(skolemFOFtoCNF_A)]]) ).
cnf(refute_0_10,plain,
( ~ proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A)
| proper_subset(skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,skolemFOFtoCNF_A) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
proper_subset(skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( proper_subset(skolemFOFtoCNF_B,skolemFOFtoCNF_A) )],[refute_0_0,refute_0_10]) ).
cnf(refute_0_12,plain,
~ proper_subset(A,A),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_13,plain,
~ proper_subset(skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( proper_subset(skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_11,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU139+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n020.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 : Sun Jun 19 13:42:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35
% 0.14/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35
%------------------------------------------------------------------------------