%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS074+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 03:18:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.34s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 97 ( 44 ~; 37 |; 12 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rs(X,Y)
& cp(Y)
& ? [Z] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y] :
( rs(X,Y)
=> ~ cp(Y) ) ) ) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rs(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rs(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y)
| ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) ) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Z] :
( ( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Z(X)) )
& ( ~ cUnsatisfiable(X)
| rinvS(skolemFOFtoCNF_Y_1(X),skolemFOFtoCNF_Z(X)) )
& ( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| ~ cp(Y)
| ~ rs(X,Y) )
& ( ~ cp(Y)
| ~ cp(Z)
| ~ rinvS(Y,Z)
| ~ rs(X,Y)
| cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y(X)) )
& ( ~ cp(Y)
| ~ cp(Z)
| ~ rinvS(Y,Z)
| ~ rs(X,Y)
| cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ cp(Y)
| ~ rs(X,Y) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| rs(i2003_11_14_17_18_59896,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_18_59896))]]) ).
cnf(refute_0_3,plain,
rs(i2003_11_14_17_18_59896,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_59896) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(X)
| ~ cp(Y)
| ~ rs(X,Y) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(i2003_11_14_17_18_59896)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)))]]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)) ),
inference(resolve,[$cnf( rs(i2003_11_14_17_18_59896,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_59896) )],[refute_0_0,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_9,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(i2003_11_14_17_18_59896))]]) ).
cnf(refute_0_10,plain,
cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_59896) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_59896)) )],[refute_0_10,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS074+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n017.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 Jun 7 17:41:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34
% 0.20/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.35
%------------------------------------------------------------------------------