TSTP Solution File: SYN918+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 09:12:11 EDT 2022
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 31 ( 5 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 160 ( 54 ~; 53 |; 34 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 47 ( 2 sgn 33 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ! [X] :
( ( ( f(X)
& g(X) )
=> h(X) )
=> ? [Y] :
( f(Y)
& ~ g(Y) ) )
& ( ! [W] :
( f(W)
=> g(W) )
| ! [Z] :
( f(Z)
=> h(Z) ) ) )
=> ( ! [R] :
( ( f(R)
& h(R) )
=> g(R) )
=> ? [V] :
( f(V)
& g(V)
& ~ h(V) ) ) ) ).
fof(subgoal_0,plain,
( ( ! [X] :
( ( ( f(X)
& g(X) )
=> h(X) )
=> ? [Y] :
( f(Y)
& ~ g(Y) ) )
& ( ! [W] :
( f(W)
=> g(W) )
| ! [Z] :
( f(Z)
=> h(Z) ) )
& ! [R] :
( ( f(R)
& h(R) )
=> g(R) ) )
=> ? [V] :
( f(V)
& g(V)
& ~ h(V) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ( ! [X] :
( ( ( f(X)
& g(X) )
=> h(X) )
=> ? [Y] :
( f(Y)
& ~ g(Y) ) )
& ( ! [W] :
( f(W)
=> g(W) )
| ! [Z] :
( f(Z)
=> h(Z) ) )
& ! [R] :
( ( f(R)
& h(R) )
=> g(R) ) )
=> ? [V] :
( f(V)
& g(V)
& ~ h(V) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ( ( ! [X] : ~ h(X)
& ! [X] : f(X)
& ! [X] : g(X) )
| ? [Y] :
( ~ g(Y)
& f(Y) ) )
& ( ! [W] :
( ~ f(W)
| g(W) )
| ! [Z] :
( ~ f(Z)
| h(Z) ) )
& ! [R] :
( ~ f(R)
| ~ h(R)
| g(R) )
& ! [V] :
( ~ f(V)
| ~ g(V)
| h(V) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ( ! [X] : ~ h(X)
& ! [X] : f(X)
& ! [X] : g(X) )
| ? [Y] :
( ~ g(Y)
& f(Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ g(skolemFOFtoCNF_Y)
| ~ h(X) )
& ( ~ g(skolemFOFtoCNF_Y)
| f(X) )
& ( ~ g(skolemFOFtoCNF_Y)
| g(X) )
& ( ~ h(X)
| f(skolemFOFtoCNF_Y) )
& ( f(X)
| f(skolemFOFtoCNF_Y) )
& ( f(skolemFOFtoCNF_Y)
| g(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ g(skolemFOFtoCNF_Y)
| ~ h(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [V] :
( ~ f(V)
| ~ g(V)
| h(V) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [V] :
( ~ f(V)
| ~ g(V)
| h(V) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [R] :
( ~ f(R)
| ~ h(R)
| g(R) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [R] :
( ~ f(R)
| ~ h(R)
| g(R) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( f(X)
| f(skolemFOFtoCNF_Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_9,plain,
( ! [W] :
( ~ f(W)
| g(W) )
| ! [Z] :
( ~ f(Z)
| h(Z) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [W,Z] :
( ~ f(W)
| ~ f(Z)
| g(W)
| h(Z) ),
inference(clausify,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
( ~ g(skolemFOFtoCNF_Y)
| ~ h(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ g(skolemFOFtoCNF_Y)
| ~ h(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_2,plain,
( ~ f(V)
| ~ g(V)
| h(V) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ f(skolemFOFtoCNF_Y)
| ~ g(skolemFOFtoCNF_Y)
| h(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_2:[bind(V,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
( ~ f(R)
| ~ h(R)
| g(R) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ f(skolemFOFtoCNF_Y)
| ~ h(skolemFOFtoCNF_Y)
| g(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_4:[bind(R,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_6,plain,
( f(X)
| f(skolemFOFtoCNF_Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
f(skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_8,plain,
( ~ f(W)
| ~ f(Z)
| g(W)
| h(Z) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ f(skolemFOFtoCNF_Y)
| g(skolemFOFtoCNF_Y)
| h(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_8:[bind(W,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_10,plain,
( g(skolemFOFtoCNF_Y)
| h(skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( f(skolemFOFtoCNF_Y) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ f(skolemFOFtoCNF_Y)
| g(skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( h(skolemFOFtoCNF_Y) )],[refute_0_10,refute_0_5]) ).
cnf(refute_0_12,plain,
g(skolemFOFtoCNF_Y),
inference(resolve,[$cnf( f(skolemFOFtoCNF_Y) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ f(skolemFOFtoCNF_Y)
| h(skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( g(skolemFOFtoCNF_Y) )],[refute_0_12,refute_0_3]) ).
cnf(refute_0_14,plain,
h(skolemFOFtoCNF_Y),
inference(resolve,[$cnf( f(skolemFOFtoCNF_Y) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
~ g(skolemFOFtoCNF_Y),
inference(resolve,[$cnf( h(skolemFOFtoCNF_Y) )],[refute_0_14,refute_0_1]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( g(skolemFOFtoCNF_Y) )],[refute_0_12,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n022.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 : Mon Jul 11 19:19:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34
% 0.14/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35
%------------------------------------------------------------------------------