%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS128+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 03:18:49 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 190 ( 86 ~; 71 |; 19 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 1 sgn 35 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ca_Cx4(Y) ) ) ) ).
fof(axiom_8,axiom,
! [X] :
( ca_Cx4(X)
<=> ? [Y0] : ra_Px4(X,Y0) ) ).
fof(axiom_9,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ) ).
fof(axiom_10,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ( cd(X)
& cexcomp(X) ) ) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(canonicalize,[],[axiom_11]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ ca_Cx4(Y)
& rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ! [Y] :
( ~ cexcomp(Y)
| ~ rr(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ ca_Cx4(Y)
& rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ! [Y] :
( ~ cexcomp(Y)
| ~ rr(X,Y) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ( ~ cUnsatisfiable(X)
| cexcomp(skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ca_Cx4(Y) )
& ( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| cd(Y) )
& ( ~ ca_Cx4(skolemFOFtoCNF_Y(X))
| ~ cd(skolemFOFtoCNF_Y_1(X))
| ~ cexcomp(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X) )
& ( ~ ca_Cx4(skolemFOFtoCNF_Y(X))
| ~ cexcomp(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cd(skolemFOFtoCNF_Y_1(X))
| ~ cexcomp(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cexcomp(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X))
| rr(X,skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cexcomp(skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ ca_Cx4xcomp(X)
<=> ( ~ cd(X)
| ~ cexcomp(X) ) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ ca_Cx4xcomp(X)
<=> ( ~ cd(X)
| ~ cexcomp(X) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ( ~ ca_Cx4xcomp(X)
| cd(X) )
& ( ~ ca_Cx4xcomp(X)
| cexcomp(X) )
& ( ~ cd(X)
| ~ cexcomp(X)
| ca_Cx4xcomp(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cd(X)
| ~ cexcomp(X)
| ca_Cx4xcomp(X) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| cd(Y) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ ca_Cx4xcomp(X)
<=> ? [Y] : ra_Px4(X,Y) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ ca_Cx4xcomp(X)
<=> ? [Y] : ra_Px4(X,Y) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ( ~ ca_Cx4xcomp(X)
| ~ ra_Px4(X,Y) )
& ( ca_Cx4xcomp(X)
| ra_Px4(X,skolemFOFtoCNF_Y_5(X)) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ ca_Cx4xcomp(X)
| ~ ra_Px4(X,Y) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ ca_Cx4(X)
<=> ! [Y0] : ~ ra_Px4(X,Y0) ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ ca_Cx4(X)
<=> ! [Y0] : ~ ra_Px4(X,Y0) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y0] :
( ( ~ ca_Cx4(X)
| ra_Px4(X,skolemFOFtoCNF_Y0_2(X)) )
& ( ~ ra_Px4(X,Y0)
| ca_Cx4(X) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ ca_Cx4(X)
| ra_Px4(X,skolemFOFtoCNF_Y0_2(X)) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ca_Cx4(Y) ),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| cexcomp(skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| cexcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_22_31584))]]) ).
cnf(refute_0_3,plain,
cexcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_22_31584) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ cd(X)
| ~ cexcomp(X)
| ca_Cx4xcomp(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| ~ cexcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| ca_Cx4xcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)))]]) ).
cnf(refute_0_6,plain,
( ~ cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| ca_Cx4xcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(resolve,[$cnf( cexcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| rr(i2003_11_14_17_22_31584,skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_22_31584))]]) ).
cnf(refute_0_9,plain,
rr(i2003_11_14_17_22_31584,skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_22_31584) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| cd(Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| ~ rr(i2003_11_14_17_22_31584,skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_22_31584)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)))]]) ).
cnf(refute_0_12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_22_31584,skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_22_31584) )],[refute_0_0,refute_0_12]) ).
cnf(refute_0_14,plain,
ca_Cx4xcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) )],[refute_0_13,refute_0_6]) ).
cnf(refute_0_15,plain,
( ~ ca_Cx4xcomp(X)
| ~ ra_Px4(X,Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_16,plain,
( ~ ca_Cx4xcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| ~ ra_Px4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584),skolemFOFtoCNF_Y0_2(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))),bind(Y,$fot(skolemFOFtoCNF_Y0_2(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))))]]) ).
cnf(refute_0_17,plain,
( ~ ca_Cx4(X)
| ra_Px4(X,skolemFOFtoCNF_Y0_2(X)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_18,plain,
( ~ ca_Cx4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| ra_Px4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584),skolemFOFtoCNF_Y0_2(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)))]]) ).
cnf(refute_0_19,plain,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ca_Cx4(Y) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_20,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| ~ rr(i2003_11_14_17_22_31584,skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))
| ca_Cx4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(i2003_11_14_17_22_31584)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)))]]) ).
cnf(refute_0_21,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| ca_Cx4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_22_31584,skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) )],[refute_0_9,refute_0_20]) ).
cnf(refute_0_22,plain,
ca_Cx4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_22_31584) )],[refute_0_0,refute_0_21]) ).
cnf(refute_0_23,plain,
ra_Px4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584),skolemFOFtoCNF_Y0_2(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))),
inference(resolve,[$cnf( ca_Cx4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) )],[refute_0_22,refute_0_18]) ).
cnf(refute_0_24,plain,
~ ca_Cx4xcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)),
inference(resolve,[$cnf( ra_Px4(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584),skolemFOFtoCNF_Y0_2(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584))) )],[refute_0_23,refute_0_16]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( ca_Cx4xcomp(skolemFOFtoCNF_Y_2(i2003_11_14_17_22_31584)) )],[refute_0_14,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS128+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 : n025.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 13:42:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Unsatisfiable 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
% 0.13/0.34
%------------------------------------------------------------------------------