TSTP Solution File: SYN060+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 08:59:07 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 73 ( 31 ~; 28 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 16 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel30_1,axiom,
! [X] :
( ( big_f(X)
| big_g(X) )
=> ~ big_h(X) ) ).
fof(pel30_2,axiom,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_f(X)
& big_h(X) ) ) ).
fof(pel30,conjecture,
! [X] : big_i(X) ).
fof(subgoal_0,plain,
! [X] : big_i(X),
inference(strip,[],[pel30]) ).
fof(negate_0_0,plain,
~ ! [X] : big_i(X),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ big_h(X)
| ( ~ big_f(X)
& ~ big_g(X) ) ),
inference(canonicalize,[],[pel30_1]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ big_h(X)
| ( ~ big_f(X)
& ~ big_g(X) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ big_f(X)
| ~ big_h(X) )
& ( ~ big_g(X)
| ~ big_h(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ big_g(X)
| ~ big_h(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [X] : ~ big_i(X),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
~ big_i(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ( big_f(X)
& big_h(X) )
| ( big_g(X)
& big_i(X) ) ),
inference(canonicalize,[],[pel30_2]) ).
fof(normalize_0_7,plain,
! [X] :
( ( big_f(X)
& big_h(X) )
| ( big_g(X)
& big_i(X) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ( big_f(X)
| big_g(X) )
& ( big_f(X)
| big_i(X) )
& ( big_g(X)
| big_h(X) )
& ( big_h(X)
| big_i(X) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( big_h(X)
| big_i(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( big_f(X)
| big_i(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ big_f(X)
| ~ big_h(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_12,plain,
! [X] :
( big_g(X)
| big_h(X) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
( ~ big_g(X)
| ~ big_h(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ big_g(skolemFOFtoCNF_X)
| ~ big_h(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
~ big_i(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( big_h(X)
| big_i(X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( big_h(skolemFOFtoCNF_X)
| big_i(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
big_h(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_i(skolemFOFtoCNF_X) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
~ big_g(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
( big_f(X)
| big_i(X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( big_f(skolemFOFtoCNF_X)
| big_i(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
big_f(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_i(skolemFOFtoCNF_X) )],[refute_0_8,refute_0_2]) ).
cnf(refute_0_10,plain,
( ~ big_f(X)
| ~ big_h(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
( ~ big_f(X_4)
| ~ big_h(X_4) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_12,plain,
( big_g(X)
| big_h(X) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_13,plain,
( big_g(X_4)
| big_h(X_4) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_14,plain,
( ~ big_f(X_4)
| big_g(X_4) ),
inference(resolve,[$cnf( big_h(X_4) )],[refute_0_13,refute_0_11]) ).
cnf(refute_0_15,plain,
( ~ big_f(skolemFOFtoCNF_X)
| big_g(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_14:[bind(X_4,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_16,plain,
big_g(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X) )],[refute_0_9,refute_0_15]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_X) )],[refute_0_16,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n029.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 : Tue Jul 12 06:17:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35
% 0.14/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35
%------------------------------------------------------------------------------