TSTP Solution File: SYN980+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN980+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Thu Jul 21 09:12:36 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 32 ~; 28 |; 15 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 2 sgn 27 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [B] :
( ! [Y] :
( ( r(B)
=> r(Y) )
=> p(f(Y),Y) )
=> ? [X,Y] :
( p(X,Y)
& ( q(f(B),B)
=> q(X,Y) ) ) ) ).
fof(subgoal_0,plain,
! [B] :
( ! [Y] :
( ( r(B)
=> r(Y) )
=> p(f(Y),Y) )
=> ? [X,Y] :
( p(X,Y)
& ( q(f(B),B)
=> q(X,Y) ) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ! [B] :
( ! [Y] :
( ( r(B)
=> r(Y) )
=> p(f(Y),Y) )
=> ? [X,Y] :
( p(X,Y)
& ( q(f(B),B)
=> q(X,Y) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B] :
( ! [Y] :
( p(f(Y),Y)
| ( ~ r(Y)
& r(B) ) )
& ! [X,Y] :
( ~ p(X,Y)
| ( ~ q(X,Y)
& q(f(B),B) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ! [Y] :
( p(f(Y),Y)
| ( ~ r(Y)
& r(skolemFOFtoCNF_B) ) )
& ! [X,Y] :
( ~ p(X,Y)
| ( ~ q(X,Y)
& q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ p(X,Y)
| ( ~ q(X,Y)
& q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ p(X,Y)
| ( ~ q(X,Y)
& q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ( ~ p(X,Y)
| ~ q(X,Y) )
& ( ~ p(X,Y)
| q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ p(X,Y)
| ~ q(X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ p(X,Y)
| q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_7,plain,
! [Y] :
( p(f(Y),Y)
| ( ~ r(Y)
& r(skolemFOFtoCNF_B) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [Y] :
( p(f(Y),Y)
| ( ~ r(Y)
& r(skolemFOFtoCNF_B) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [Y] :
( ( ~ r(Y)
| p(f(Y),Y) )
& ( p(f(Y),Y)
| r(skolemFOFtoCNF_B) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [Y] :
( ~ r(Y)
| p(f(Y),Y) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [Y] :
( p(f(Y),Y)
| r(skolemFOFtoCNF_B) ),
inference(conjunct,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
( ~ p(X,Y)
| ~ q(X,Y) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| ~ q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(f(skolemFOFtoCNF_B))),bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_2,plain,
( ~ p(X,Y)
| q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(f(skolemFOFtoCNF_B))),bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_4,plain,
( ~ r(Y)
| p(f(Y),Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ r(skolemFOFtoCNF_B)
| p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_4:[bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_6,plain,
( p(f(Y),Y)
| r(skolemFOFtoCNF_B) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| r(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_6:[bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_8,plain,
( p(f(X_5),X_5)
| r(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_6:[bind(Y,$fot(X_5))]]) ).
cnf(refute_0_9,plain,
( ~ p(f(X_5),X_5)
| q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(f(X_5))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_10,plain,
( q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| r(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( p(f(X_5),X_5) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| r(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_10,refute_0_1]) ).
cnf(refute_0_12,plain,
r(skolemFOFtoCNF_B),
inference(resolve,[$cnf( p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B),
inference(resolve,[$cnf( r(skolemFOFtoCNF_B) )],[refute_0_12,refute_0_5]) ).
cnf(refute_0_14,plain,
q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B),
inference(resolve,[$cnf( p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_13,refute_0_3]) ).
cnf(refute_0_15,plain,
~ p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B),
inference(resolve,[$cnf( q(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_14,refute_0_1]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( p(f(skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_13,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN980+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 14:15:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------