TSTP Solution File: SYN361+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 09:01:46 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 24 ~; 10 |; 9 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 53 ( 3 sgn 29 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2112,conjecture,
( ( ? [V] :
! [X] : big_p(X,V)
& ! [X] :
( big_s(X)
=> ? [Y] : big_q(Y,X) )
& ! [X,Y] :
( big_p(X,Y)
=> ~ big_q(X,Y) ) )
=> ? [U] : ~ big_s(U) ) ).
fof(subgoal_0,plain,
( ( ? [V] :
! [X] : big_p(X,V)
& ! [X] :
( big_s(X)
=> ? [Y] : big_q(Y,X) )
& ! [X,Y] :
( big_p(X,Y)
=> ~ big_q(X,Y) ) )
=> ? [U] : ~ big_s(U) ),
inference(strip,[],[x2112]) ).
fof(negate_0_0,plain,
~ ( ( ? [V] :
! [X] : big_p(X,V)
& ! [X] :
( big_s(X)
=> ? [Y] : big_q(Y,X) )
& ! [X,Y] :
( big_p(X,Y)
=> ~ big_q(X,Y) ) )
=> ? [U] : ~ big_s(U) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [V] :
! [X] : big_p(X,V)
& ! [U] : big_s(U)
& ! [X] :
( ~ big_s(X)
| ? [Y] : big_q(Y,X) )
& ! [X,Y] :
( ~ big_p(X,Y)
| ~ big_q(X,Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [V] :
! [X] : big_p(X,V),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] : big_p(X,skolemFOFtoCNF_V),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] : big_p(X,skolemFOFtoCNF_V),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ big_s(X)
| ? [Y] : big_q(Y,X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ big_s(X)
| ? [Y] : big_q(Y,X) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ big_s(X)
| big_q(skolemFOFtoCNF_Y(X),X) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [U] : big_s(U),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
! [U] : big_s(U),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ~ big_p(X,Y)
| ~ big_q(X,Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ big_p(X,Y)
| ~ big_q(X,Y) ),
inference(specialize,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
big_p(X,skolemFOFtoCNF_V),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
big_p(skolemFOFtoCNF_Y(skolemFOFtoCNF_V),skolemFOFtoCNF_V),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_V)))]]) ).
cnf(refute_0_2,plain,
( ~ big_s(X)
| big_q(skolemFOFtoCNF_Y(X),X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
big_s(U),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
big_s(X),
inference(subst,[],[refute_0_3:[bind(U,$fot(X))]]) ).
cnf(refute_0_5,plain,
big_q(skolemFOFtoCNF_Y(X),X),
inference(resolve,[$cnf( big_s(X) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
big_q(skolemFOFtoCNF_Y(X_4),X_4),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_7,plain,
( ~ big_p(X,Y)
| ~ big_q(X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ big_p(skolemFOFtoCNF_Y(X_4),X_4)
| ~ big_q(skolemFOFtoCNF_Y(X_4),X_4) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y(X_4))),bind(Y,$fot(X_4))]]) ).
cnf(refute_0_9,plain,
~ big_p(skolemFOFtoCNF_Y(X_4),X_4),
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_Y(X_4),X_4) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
~ big_p(skolemFOFtoCNF_Y(skolemFOFtoCNF_V),skolemFOFtoCNF_V),
inference(subst,[],[refute_0_9:[bind(X_4,$fot(skolemFOFtoCNF_V))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_Y(skolemFOFtoCNF_V),skolemFOFtoCNF_V) )],[refute_0_1,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.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 : Tue Jul 12 03:49:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------