TSTP Solution File: SYN373+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN373+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 09:01:52 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 8 |; 6 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 39 ( 4 sgn 17 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2124,conjecture,
( ? [X] :
( big_p(X)
=> big_q(X) )
<=> ( ! [X] : big_p(X)
=> ? [X] : big_q(X) ) ) ).
fof(subgoal_0,plain,
( ( ? [X] :
( big_p(X)
=> big_q(X) )
& ! [X] : big_p(X) )
=> ? [X] : big_q(X) ),
inference(strip,[],[x2124]) ).
fof(subgoal_1,plain,
( ( ! [X] : big_p(X)
=> ? [X] : big_q(X) )
=> ? [X] :
( big_p(X)
=> big_q(X) ) ),
inference(strip,[],[x2124]) ).
fof(negate_0_0,plain,
~ ( ( ? [X] :
( big_p(X)
=> big_q(X) )
& ! [X] : big_p(X) )
=> ? [X] : big_q(X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ( ? [X] : ~ big_p(X)
| ? [X] : big_q(X) )
& ! [X] : ~ big_q(X)
& ! [X] : big_p(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [X] : ~ big_p(X)
| ? [X] : big_q(X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ big_p(skolemFOFtoCNF_X)
| big_q(skolemFOFtoCNF_X_1) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] : big_p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [X] : big_p(X),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] : ~ big_q(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [X] : ~ big_q(X),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ big_p(skolemFOFtoCNF_X)
| big_q(skolemFOFtoCNF_X_1) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
big_p(X),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
big_p(skolemFOFtoCNF_X),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
big_q(skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_2,refute_0_0]) ).
cnf(refute_0_4,plain,
~ big_q(X),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
~ big_q(skolemFOFtoCNF_X_1),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_X_1) )],[refute_0_3,refute_0_5]) ).
fof(negate_1_0,plain,
~ ( ( ! [X] : big_p(X)
=> ? [X] : big_q(X) )
=> ? [X] :
( big_p(X)
=> big_q(X) ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ( ? [X] : ~ big_p(X)
| ? [X] : big_q(X) )
& ! [X] : ~ big_q(X)
& ! [X] : big_p(X) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ? [X] : ~ big_p(X)
| ? [X] : big_q(X) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( ~ big_p(skolemFOFtoCNF_X_2)
| big_q(skolemFOFtoCNF_X_3) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X] : big_p(X),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
! [X] : big_p(X),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X] : ~ big_q(X),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
! [X] : ~ big_q(X),
inference(specialize,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
( ~ big_p(skolemFOFtoCNF_X_2)
| big_q(skolemFOFtoCNF_X_3) ),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
big_p(X),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
big_p(skolemFOFtoCNF_X_2),
inference(subst,[],[refute_1_1:[bind(X,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_1_3,plain,
big_q(skolemFOFtoCNF_X_3),
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X_2) )],[refute_1_2,refute_1_0]) ).
cnf(refute_1_4,plain,
~ big_q(X),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_5,plain,
~ big_q(skolemFOFtoCNF_X_3),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X_3))]]) ).
cnf(refute_1_6,plain,
$false,
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_X_3) )],[refute_1_3,refute_1_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN373+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n015.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 06:09:25 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
%------------------------------------------------------------------------------