TSTP Solution File: SYN054+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 08:59:01 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 38 ~; 34 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel24_1,axiom,
~ ? [X] :
( big_s(X)
& big_q(X) ) ).
fof(pel24_2,axiom,
! [X] :
( big_p(X)
=> ( big_q(X)
| big_r(X) ) ) ).
fof(pel24_3,axiom,
( ~ ? [X] : big_p(X)
=> ? [Y] : big_q(Y) ) ).
fof(pel24_4,axiom,
! [X] :
( ( big_q(X)
| big_r(X) )
=> big_s(X) ) ).
fof(pel24,conjecture,
? [X] :
( big_p(X)
& big_r(X) ) ).
fof(subgoal_0,plain,
? [X] :
( big_p(X)
& big_r(X) ),
inference(strip,[],[pel24]) ).
fof(negate_0_0,plain,
~ ? [X] :
( big_p(X)
& big_r(X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ big_q(X)
| ~ big_s(X) ),
inference(canonicalize,[],[pel24_1]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ big_q(X)
| ~ big_s(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( big_s(X)
| ( ~ big_q(X)
& ~ big_r(X) ) ),
inference(canonicalize,[],[pel24_4]) ).
fof(normalize_0_3,plain,
! [X] :
( big_s(X)
| ( ~ big_q(X)
& ~ big_r(X) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ( ~ big_q(X)
| big_s(X) )
& ( ~ big_r(X)
| big_s(X) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ big_q(X)
| big_s(X) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ big_p(X)
| ~ big_r(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ big_p(X)
| ~ big_r(X) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( ? [X] : big_p(X)
| ? [Y] : big_q(Y) ),
inference(canonicalize,[],[pel24_3]) ).
fof(normalize_0_9,plain,
( big_p(skolemFOFtoCNF_X)
| big_q(skolemFOFtoCNF_Y) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ big_p(X)
| big_q(X)
| big_r(X) ),
inference(canonicalize,[],[pel24_2]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ big_p(X)
| big_q(X)
| big_r(X) ),
inference(specialize,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ big_q(X)
| ~ big_s(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ big_q(skolemFOFtoCNF_X)
| ~ big_s(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
( ~ big_q(X)
| big_s(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ big_q(skolemFOFtoCNF_X)
| big_s(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_4,plain,
( ~ big_p(X)
| ~ big_r(X) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ big_p(skolemFOFtoCNF_X)
| ~ big_r(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
( big_p(skolemFOFtoCNF_X)
| big_q(skolemFOFtoCNF_Y) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ big_q(skolemFOFtoCNF_Y)
| ~ big_s(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_8,plain,
( ~ big_q(skolemFOFtoCNF_Y)
| big_s(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_9,plain,
( big_p(skolemFOFtoCNF_X)
| big_s(skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_Y) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ big_q(skolemFOFtoCNF_Y)
| big_p(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( big_s(skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_7]) ).
cnf(refute_0_11,plain,
big_p(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_Y) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ big_p(X)
| big_q(X)
| big_r(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_13,plain,
( ~ big_p(skolemFOFtoCNF_X)
| big_q(skolemFOFtoCNF_X)
| big_r(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_14,plain,
( big_q(skolemFOFtoCNF_X)
| big_r(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ big_p(skolemFOFtoCNF_X)
| big_q(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( big_r(skolemFOFtoCNF_X) )],[refute_0_14,refute_0_5]) ).
cnf(refute_0_16,plain,
big_q(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
big_s(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_X) )],[refute_0_16,refute_0_3]) ).
cnf(refute_0_18,plain,
~ big_q(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_s(skolemFOFtoCNF_X) )],[refute_0_17,refute_0_1]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_X) )],[refute_0_16,refute_0_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 09:10:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------