TSTP Solution File: SYN319+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN319+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 09:01:13 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 124 ( 39 ~; 39 |; 25 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 54 ( 12 sgn 24 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_2_5,conjecture,
? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( big_g(X)
& ~ big_f(Z1) ) )
=> ( ( ( big_f(X)
| big_g(X) )
=> big_h(X) )
=> ( big_h(Z2)
& ( big_h(Y)
=> ( ( big_f(Z2)
| big_g(Z2) )
=> big_h(Z2) ) ) ) ) ) ).
fof(subgoal_0,plain,
? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( big_g(X)
& ~ big_f(Z1) ) )
=> ( ( ( big_f(X)
| big_g(X) )
=> big_h(X) )
=> ( big_h(Z2)
& ( big_h(Y)
=> ( ( big_f(Z2)
| big_g(Z2) )
=> big_h(Z2) ) ) ) ) ),
inference(strip,[],[church_46_2_5]) ).
fof(negate_0_0,plain,
~ ? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( big_g(X)
& ~ big_f(Z1) ) )
=> ( ( ( big_f(X)
| big_g(X) )
=> big_h(X) )
=> ( big_h(Z2)
& ( big_h(Y)
=> ( ( big_f(Z2)
| big_g(Z2) )
=> big_h(Z2) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ( ( ? [Z1] : ~ big_f(Z1)
& ! [X] : big_g(X) )
| ( ? [Z1] : ~ big_g(Z1)
& ! [Y] : big_f(Y) ) )
& ( ? [Z2] : ~ big_h(Z2)
| ! [Y] :
? [Z2] :
( ~ big_h(Z2)
& big_h(Y)
& ( big_f(Z2)
| big_g(Z2) ) ) )
& ! [X] :
( big_h(X)
| ( ~ big_f(X)
& ~ big_g(X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [Z2] : ~ big_h(Z2)
| ! [Y] :
? [Z2] :
( ~ big_h(Z2)
& big_h(Y)
& ( big_f(Z2)
| big_g(Z2) ) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Y] :
( ( ~ big_h(skolemFOFtoCNF_Z2)
| ~ big_h(skolemFOFtoCNF_Z2_1(Y)) )
& ( ~ big_h(skolemFOFtoCNF_Z2)
| big_h(Y) )
& ( ~ big_h(skolemFOFtoCNF_Z2)
| big_f(skolemFOFtoCNF_Z2_1(Y))
| big_g(skolemFOFtoCNF_Z2_1(Y)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] :
( ~ big_h(skolemFOFtoCNF_Z2)
| ~ big_h(skolemFOFtoCNF_Z2_1(Y)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( big_h(X)
| ( ~ big_f(X)
& ~ big_g(X) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [X] :
( big_h(X)
| ( ~ big_f(X)
& ~ big_g(X) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ( ~ big_f(X)
| big_h(X) )
& ( ~ big_g(X)
| big_h(X) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ big_f(X)
| big_h(X) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ big_g(X)
| big_h(X) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_9,plain,
( ( ? [Z1] : ~ big_f(Z1)
& ! [X] : big_g(X) )
| ( ? [Z1] : ~ big_g(Z1)
& ! [Y] : big_f(Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ( ~ big_f(skolemFOFtoCNF_Z1)
| ~ big_g(skolemFOFtoCNF_Z1_1) )
& ( ~ big_f(skolemFOFtoCNF_Z1)
| big_f(Y) )
& ( ~ big_g(skolemFOFtoCNF_Z1_1)
| big_g(X) )
& ( big_f(Y)
| big_g(X) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( big_f(Y)
| big_g(X) ),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ big_h(skolemFOFtoCNF_Z2)
| ~ big_h(skolemFOFtoCNF_Z2_1(Y)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ big_f(X)
| big_h(X) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_2,plain,
( ~ big_f(X_9)
| big_h(X_9) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_3,plain,
( ~ big_g(X)
| big_h(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ big_g(X_6)
| big_h(X_6) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_5,plain,
( big_f(Y)
| big_g(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_6,plain,
( big_f(X_7)
| big_g(X_6) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_7,plain,
( big_f(X_7)
| big_h(X_6) ),
inference(resolve,[$cnf( big_g(X_6) )],[refute_0_6,refute_0_4]) ).
cnf(refute_0_8,plain,
( big_f(X_9)
| big_h(X_8) ),
inference(subst,[],[refute_0_7:[bind(X_6,$fot(X_8)),bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_9,plain,
( big_h(X_8)
| big_h(X_9) ),
inference(resolve,[$cnf( big_f(X_9) )],[refute_0_8,refute_0_2]) ).
cnf(refute_0_10,plain,
big_h(skolemFOFtoCNF_Z2_1(Y)),
inference(subst,[],[refute_0_9:[bind(X_8,$fot(skolemFOFtoCNF_Z2_1(Y))),bind(X_9,$fot(skolemFOFtoCNF_Z2_1(Y)))]]) ).
cnf(refute_0_11,plain,
~ big_h(skolemFOFtoCNF_Z2),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Z2_1(Y)) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,plain,
big_h(skolemFOFtoCNF_Z2),
inference(subst,[],[refute_0_9:[bind(X_8,$fot(skolemFOFtoCNF_Z2)),bind(X_9,$fot(skolemFOFtoCNF_Z2))]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Z2) )],[refute_0_12,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN319+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 21:35:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------