%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS100+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 03:18:43 EDT 2022
% Result : Unsatisfiable 0.14s 0.29s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 41 ( 4 avg)
% Number of connectives : 144 ( 58 ~; 63 |; 18 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 26 ( 0 sgn 15 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ( ce(Y)
| ~ cd(Y) ) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ? [Y] :
( rr(X,Y)
& ~ ce(Y) ) ) ) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( ~ ce(Y)
& cd(Y)
& rr(X,Y) )
| ! [Y] :
( ~ rr(X,Y)
| ce(Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( ~ ce(Y)
& cd(Y)
& rr(X,Y) )
| ! [Y] :
( ~ rr(X,Y)
| ce(Y) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ cUnsatisfiable(X)
| ~ ce(skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| cd(Y) )
& ( ~ cUnsatisfiable(X)
| ~ cd(Y)
| ~ rr(X,Y)
| ce(Y) )
& ( ~ cd(skolemFOFtoCNF_Y(X))
| ~ ce(skolemFOFtoCNF_Y_1(X))
| ~ rr(X,Y)
| cUnsatisfiable(X)
| ce(Y) )
& ( ~ cd(skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X))
| ce(Y) )
& ( ~ cd(skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| cUnsatisfiable(X)
| ce(Y)
| rr(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ ce(skolemFOFtoCNF_Y_1(X))
| ~ rr(X,Y)
| cUnsatisfiable(X)
| ce(Y)
| rr(X,skolemFOFtoCNF_Y(X)) )
& ( ~ rr(X,Y)
| cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X))
| ce(Y)
| rr(X,skolemFOFtoCNF_Y(X)) )
& ( ~ rr(X,Y)
| cUnsatisfiable(X)
| ce(Y)
| rr(X,skolemFOFtoCNF_Y(X))
| rr(X,skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ~ ce(skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ cd(Y)
| ~ rr(X,Y)
| ce(Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| cd(Y) ),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
( ~ cUnsatisfiable(X)
| ~ ce(skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ ce(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_20_32704))]]) ).
cnf(refute_0_2,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| rr(i2003_11_14_17_20_32704,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_20_32704))]]) ).
cnf(refute_0_5,plain,
rr(i2003_11_14_17_20_32704,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_32704) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(X)
| ~ cd(Y)
| ~ rr(X,Y)
| ce(Y) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704))
| ~ rr(i2003_11_14_17_20_32704,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704))
| ce(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(i2003_11_14_17_20_32704)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)))]]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704))
| ce(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_20_32704,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704))
| ce(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_32704) )],[refute_0_2,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| cd(Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ rr(i2003_11_14_17_20_32704,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704))
| cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_20_32704)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)))]]) ).
cnf(refute_0_12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_32704)
| cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_20_32704,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_32704) )],[refute_0_2,refute_0_12]) ).
cnf(refute_0_14,plain,
ce(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
~ cUnsatisfiable(i2003_11_14_17_20_32704),
inference(resolve,[$cnf( ce(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_32704)) )],[refute_0_14,refute_0_1]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_32704) )],[refute_0_2,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS100+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 7 14:26:20 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.29
% 0.14/0.29 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.30
%------------------------------------------------------------------------------