%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 03:18:40 EDT 2022
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 63 ( 12 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 195 ( 85 ~; 84 |; 20 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 45 ( 0 sgn 32 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X] :
( cC2(X)
=> ( ( ~ cB(X)
| cA(X) )
& ( cB(X)
| cA(X) ) ) ) ).
fof(axiom_4,axiom,
! [X] :
( cC3(X)
=> ( ( ~ cB(X)
| ~ cA(X) )
& ( cB(X)
| ~ cA(X) ) ) ) ).
fof(axiom_5,axiom,
! [X] :
( cC4(X)
=> ? [Y] :
( rR(X,Y)
& cC2(Y) ) ) ).
fof(axiom_6,axiom,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ) ).
fof(axiom_7,axiom,
! [X] :
( cTEST(X)
=> ( cC4(X)
& cC1(X)
& cC5(X) ) ) ).
fof(axiom_8,axiom,
cTEST(i2003_11_14_17_19_57994) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cC3(X)
| ( ( ~ cA(X)
| ~ cB(X) )
& ( ~ cA(X)
| cB(X) ) ) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cC3(X)
| ( ( ~ cA(X)
| ~ cB(X) )
& ( ~ cA(X)
| cB(X) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ cA(X)
| ~ cB(X)
| ~ cC3(X) )
& ( ~ cA(X)
| ~ cC3(X)
| cB(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cA(X)
| ~ cB(X)
| ~ cC3(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
cTEST(i2003_11_14_17_19_57994),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cTEST(X)
| ( cC1(X)
& cC4(X)
& cC5(X) ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cTEST(X)
| ( cC1(X)
& cC4(X)
& cC5(X) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ( ~ cTEST(X)
| cC1(X) )
& ( ~ cTEST(X)
| cC4(X) )
& ( ~ cTEST(X)
| cC5(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cTEST(X)
| cC4(X) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cC4(X)
| ? [Y] :
( cC2(Y)
& rR(X,Y) ) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cC4(X)
| ? [Y] :
( cC2(Y)
& rR(X,Y) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ( ~ cC4(X)
| cC2(skolemFOFtoCNF_Y(X)) )
& ( ~ cC4(X)
| rR(X,skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cC4(X)
| rR(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cC5(X)
| ! [Y] :
( ~ rR(X,Y)
| cC3(Y) ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cC5(X)
| ! [Y] :
( ~ rR(X,Y)
| cC3(Y) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ cC5(X)
| ~ rR(X,Y)
| cC3(Y) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cTEST(X)
| cC5(X) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ cC4(X)
| cC2(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ cC2(X)
| ( ( ~ cB(X)
| cA(X) )
& ( cA(X)
| cB(X) ) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ cC2(X)
| ( ( ~ cB(X)
| cA(X) )
& ( cA(X)
| cB(X) ) ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X] :
( ( ~ cB(X)
| ~ cC2(X)
| cA(X) )
& ( ~ cC2(X)
| cA(X)
| cB(X) ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ cB(X)
| ~ cC2(X)
| cA(X) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ cC2(X)
| cA(X)
| cB(X) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_23,plain,
! [X] :
( ~ cA(X)
| ~ cC3(X)
| cB(X) ),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
( ~ cA(X)
| ~ cB(X)
| ~ cC3(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| ~ cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| ~ cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)))]]) ).
cnf(refute_0_2,plain,
cTEST(i2003_11_14_17_19_57994),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ cTEST(X)
| cC4(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| cC4(i2003_11_14_17_19_57994) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_19_57994))]]) ).
cnf(refute_0_5,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolve,[$cnf( cTEST(i2003_11_14_17_19_57994) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ cC4(X)
| rR(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| rR(i2003_11_14_17_19_57994,skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(i2003_11_14_17_19_57994))]]) ).
cnf(refute_0_8,plain,
rR(i2003_11_14_17_19_57994,skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)),
inference(resolve,[$cnf( cC4(i2003_11_14_17_19_57994) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ cC5(X)
| ~ rR(X,Y)
| cC3(Y) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_10,plain,
( ~ cC5(i2003_11_14_17_19_57994)
| ~ rR(i2003_11_14_17_19_57994,skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(i2003_11_14_17_19_57994)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)))]]) ).
cnf(refute_0_11,plain,
( ~ cC5(i2003_11_14_17_19_57994)
| cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(resolve,[$cnf( rR(i2003_11_14_17_19_57994,skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ cTEST(X)
| cC5(X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| cC5(i2003_11_14_17_19_57994) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(i2003_11_14_17_19_57994))]]) ).
cnf(refute_0_14,plain,
cC5(i2003_11_14_17_19_57994),
inference(resolve,[$cnf( cTEST(i2003_11_14_17_19_57994) )],[refute_0_2,refute_0_13]) ).
cnf(refute_0_15,plain,
cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)),
inference(resolve,[$cnf( cC5(i2003_11_14_17_19_57994) )],[refute_0_14,refute_0_11]) ).
cnf(refute_0_16,plain,
( ~ cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| ~ cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(resolve,[$cnf( cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
( ~ cC4(X)
| cC2(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_18,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| cC2(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(i2003_11_14_17_19_57994))]]) ).
cnf(refute_0_19,plain,
cC2(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)),
inference(resolve,[$cnf( cC4(i2003_11_14_17_19_57994) )],[refute_0_5,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ cB(X)
| ~ cC2(X)
| cA(X) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_21,plain,
( ~ cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| ~ cC2(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)))]]) ).
cnf(refute_0_22,plain,
( ~ cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(resolve,[$cnf( cC2(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ cC2(X)
| cA(X)
| cB(X) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ cC2(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)))]]) ).
cnf(refute_0_25,plain,
( cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(resolve,[$cnf( cC2(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_19,refute_0_24]) ).
cnf(refute_0_26,plain,
cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)),
inference(resolve,[$cnf( cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_25,refute_0_22]) ).
cnf(refute_0_27,plain,
~ cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)),
inference(resolve,[$cnf( cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_26,refute_0_16]) ).
cnf(refute_0_28,plain,
( ~ cA(X)
| ~ cC3(X)
| cB(X) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_29,plain,
( ~ cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| ~ cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)))]]) ).
cnf(refute_0_30,plain,
( ~ cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994))
| cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) ),
inference(resolve,[$cnf( cC3(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_15,refute_0_29]) ).
cnf(refute_0_31,plain,
cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)),
inference(resolve,[$cnf( cA(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( cB(skolemFOFtoCNF_Y(i2003_11_14_17_19_57994)) )],[refute_0_31,refute_0_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 07:52:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37
% 0.20/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.38
%------------------------------------------------------------------------------