TSTP Solution File: LCL682+1.001 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 : Sun Jul 17 12:55:08 EDT 2022
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 244 ( 115 ~; 77 |; 46 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 85 ( 0 sgn 61 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| p16(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p14(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p15(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p13(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p12(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p11(X) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ( ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| p16(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p14(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p15(X) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p13(X) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p12(X) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> p11(X) ) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ( ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| p16(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p14(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| p12(X) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p15(X) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p13(X) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| p12(X) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> p11(X) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
( ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p11(X)
& r1(Y,X) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p12(X)
& r1(Y,X) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p13(X)
& r1(Y,X) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p15(X)
& r1(Y,X) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ! [X] :
( ~ r1(Y,X)
| p12(X) )
& ! [X] :
( ~ r1(Y,X)
| p14(X) )
& ! [X] :
( ~ r1(Y,X)
| p16(X) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( ~ p11(X)
& r1(Y,X) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( ~ p12(X)
& r1(Y,X) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( ~ p13(X)
& r1(Y,X) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( ~ p15(X)
& r1(Y,X) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ( ! [X] :
( ~ r1(Y,X)
| p12(X) )
& ! [X] :
( ~ r1(Y,X)
| p14(X) )
& ! [X] :
( ~ r1(Y,X)
| p16(X) ) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( ~ p12(X)
& r1(Y,X) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1)
& ? [X] :
( ~ p12(X)
& r1(skolemFOFtoCNF_Y_1,X) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [X] :
( ~ p12(X)
& r1(skolemFOFtoCNF_Y_1,X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( ~ p12(skolemFOFtoCNF_X_2)
& r1(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_2) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
r1(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_2),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ( ! [X] :
( ~ r1(Y,X)
| p12(X) )
& ! [X] :
( ~ r1(Y,X)
| p14(X) )
& ! [X] :
( ~ r1(Y,X)
| p16(X) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ( ! [X] :
( ~ r1(Y,X)
| p12(X) )
& ! [X] :
( ~ r1(Y,X)
| p14(X) )
& ! [X] :
( ~ r1(Y,X)
| p16(X) ) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p12(X) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p14(X) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p16(X) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p12(X) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_12,plain,
~ p12(skolemFOFtoCNF_X_2),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
r1(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_2),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_1,plain,
( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p12(X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_2,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1)
| ~ r1(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_2)
| p12(skolemFOFtoCNF_X_2) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X_2)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_3,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1)
| p12(skolemFOFtoCNF_X_2) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_2) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
p12(skolemFOFtoCNF_X_2),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
~ p12(skolemFOFtoCNF_X_2),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( p12(skolemFOFtoCNF_X_2) )],[refute_0_5,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n006.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 : Sun Jul 3 00:56:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33
% 0.13/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------