TSTP Solution File: SYN950+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN950+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Thu Jul 21 09:12:24 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 68 ( 23 ~; 18 |; 15 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 1 sgn 18 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [A,B] :
( ! [Y] :
( q(Y)
=> p(Y) )
=> ? [X] :
( ( p(X)
=> p(A) )
& ( q(X)
=> p(B) ) ) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ! [Y] :
( q(Y)
=> p(Y) )
=> ? [X] :
( ( p(X)
=> p(A) )
& ( q(X)
=> p(B) ) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ! [Y] :
( q(Y)
=> p(Y) )
=> ? [X] :
( ( p(X)
=> p(A) )
& ( q(X)
=> p(B) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [A,B] :
! [X] :
( ( ~ p(A)
& p(X) )
| ( ~ p(B)
& q(X) ) )
& ! [Y] :
( ~ q(Y)
| p(Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [A,B] :
! [X] :
( ( ~ p(A)
& p(X) )
| ( ~ p(B)
& q(X) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ p(skolemFOFtoCNF_A)
& p(X) )
| ( ~ p(skolemFOFtoCNF_B)
& q(X) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ( ~ p(skolemFOFtoCNF_A)
& p(X) )
| ( ~ p(skolemFOFtoCNF_B)
& q(X) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ( ~ p(skolemFOFtoCNF_A)
| ~ p(skolemFOFtoCNF_B) )
& ( ~ p(skolemFOFtoCNF_A)
| q(X) )
& ( ~ p(skolemFOFtoCNF_B)
| p(X) )
& ( p(X)
| q(X) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( ~ p(skolemFOFtoCNF_A)
| ~ p(skolemFOFtoCNF_B) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Y] :
( ~ q(Y)
| p(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [Y] :
( ~ q(Y)
| p(Y) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( p(X)
| q(X) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( ~ p(skolemFOFtoCNF_A)
| ~ p(skolemFOFtoCNF_B) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ q(Y)
| p(Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_2,plain,
( ~ q(X_1)
| p(X_1) ),
inference(subst,[],[refute_0_1:[bind(Y,$fot(X_1))]]) ).
cnf(refute_0_3,plain,
( p(X)
| q(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( p(X_1)
| q(X_1) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_1))]]) ).
cnf(refute_0_5,plain,
p(X_1),
inference(resolve,[$cnf( q(X_1) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
p(skolemFOFtoCNF_B),
inference(subst,[],[refute_0_5:[bind(X_1,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_7,plain,
~ p(skolemFOFtoCNF_A),
inference(resolve,[$cnf( p(skolemFOFtoCNF_B) )],[refute_0_6,refute_0_0]) ).
cnf(refute_0_8,plain,
p(skolemFOFtoCNF_A),
inference(subst,[],[refute_0_5:[bind(X_1,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_A) )],[refute_0_8,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN950+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n013.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 : Tue Jul 12 07:45:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------