%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 03:19:06 EDT 2022
% Result : Theorem 12.28s 12.43s
% Output : CNFRefutation 12.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 88 ( 36 ~; 30 |; 11 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 6 sgn 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ) ).
fof(tac,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] : model(I2,C) )
<=> status(Ax,C,tac) ) ).
fof(isa,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ) ).
fof(isa_tac_thm,conjecture,
isa(tac,thm) ).
fof(subgoal_0,plain,
isa(tac,thm),
inference(strip,[],[isa_tac_thm]) ).
fof(negate_0_0,plain,
~ isa(tac,thm),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(canonicalize,[],[isa]) ).
fof(normalize_0_1,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Ax,C,S1,S2] :
( ( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) )
& ( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) )
& ( ~ isa(S1,S2)
| ~ status(Ax,C,S1)
| status(Ax,C,S2) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [S1,S2] :
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Ax,C] :
( ~ status(Ax,C,thm)
<=> ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ),
inference(canonicalize,[],[thm]) ).
fof(normalize_0_5,plain,
! [Ax,C] :
( ~ status(Ax,C,thm)
<=> ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Ax,C,I1] :
( ( ~ model(skolemFOFtoCNF_I1_5(Ax,C),C)
| status(Ax,C,thm) )
& ( model(skolemFOFtoCNF_I1_5(Ax,C),Ax)
| status(Ax,C,thm) )
& ( ~ model(I1,Ax)
| ~ status(Ax,C,thm)
| model(I1,C) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [Ax,C] :
( ~ model(skolemFOFtoCNF_I1_5(Ax,C),C)
| status(Ax,C,thm) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [Ax,C] :
( ~ status(Ax,C,tac)
<=> ( ? [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(canonicalize,[],[tac]) ).
fof(normalize_0_9,plain,
! [Ax,C] :
( ~ status(Ax,C,tac)
<=> ( ? [I2] : ~ model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [Ax,C,I1,I2] :
( ( ~ status(Ax,C,tac)
| model(I2,C) )
& ( ~ status(Ax,C,tac)
| model(skolemFOFtoCNF_I1_7(Ax),Ax) )
& ( ~ model(I1,Ax)
| ~ model(skolemFOFtoCNF_I2_5(C),C)
| status(Ax,C,tac) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [Ax,C,I2] :
( ~ status(Ax,C,tac)
| model(I2,C) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [S1,S2] :
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_13,plain,
~ isa(tac,thm),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ status(skolemFOFtoCNF_Ax_1(tac,thm),skolemFOFtoCNF_C_1(tac,thm),thm)
| isa(tac,thm) ),
inference(subst,[],[refute_0_0:[bind(S1,$fot(tac)),bind(S2,$fot(thm))]]) ).
cnf(refute_0_2,plain,
( ~ model(skolemFOFtoCNF_I1_5(Ax,C),C)
| status(Ax,C,thm) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ model(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tac,X_656)),skolemFOFtoCNF_C_1(tac,X_656))
| status(Ax,skolemFOFtoCNF_C_1(tac,X_656),thm) ),
inference(subst,[],[refute_0_2:[bind(C,$fot(skolemFOFtoCNF_C_1(tac,X_656)))]]) ).
cnf(refute_0_4,plain,
( ~ status(Ax,C,tac)
| model(I2,C) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ status(skolemFOFtoCNF_Ax_1(tac,X_81),skolemFOFtoCNF_C_1(tac,X_81),tac)
| model(I2,skolemFOFtoCNF_C_1(tac,X_81)) ),
inference(subst,[],[refute_0_4:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(tac,X_81))),bind(C,$fot(skolemFOFtoCNF_C_1(tac,X_81)))]]) ).
cnf(refute_0_6,plain,
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( isa(tac,X_81)
| status(skolemFOFtoCNF_Ax_1(tac,X_81),skolemFOFtoCNF_C_1(tac,X_81),tac) ),
inference(subst,[],[refute_0_6:[bind(S1,$fot(tac)),bind(S2,$fot(X_81))]]) ).
cnf(refute_0_8,plain,
( isa(tac,X_81)
| model(I2,skolemFOFtoCNF_C_1(tac,X_81)) ),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(tac,X_81),skolemFOFtoCNF_C_1(tac,X_81),tac) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
( isa(tac,X_656)
| model(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tac,X_656)),skolemFOFtoCNF_C_1(tac,X_656)) ),
inference(subst,[],[refute_0_8:[bind(I2,$fot(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tac,X_656)))),bind(X_81,$fot(X_656))]]) ).
cnf(refute_0_10,plain,
( isa(tac,X_656)
| status(Ax,skolemFOFtoCNF_C_1(tac,X_656),thm) ),
inference(resolve,[$cnf( model(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tac,X_656)),skolemFOFtoCNF_C_1(tac,X_656)) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
( isa(tac,thm)
| status(skolemFOFtoCNF_Ax_1(tac,thm),skolemFOFtoCNF_C_1(tac,thm),thm) ),
inference(subst,[],[refute_0_10:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(tac,thm))),bind(X_656,$fot(thm))]]) ).
cnf(refute_0_12,plain,
isa(tac,thm),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(tac,thm),skolemFOFtoCNF_C_1(tac,thm),thm) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
~ isa(tac,thm),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( isa(tac,thm) )],[refute_0_12,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 14:24:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.28/12.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.28/12.43
% 12.28/12.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.28/12.43
%------------------------------------------------------------------------------