TSTP Solution File: KRS108+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS108+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 03:18:44 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 18 unt; 0 def)
% Number of atoms : 231 ( 22 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 270 ( 124 ~; 99 |; 27 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 92 ( 1 sgn 59 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rinvR(X,Y)
& ca_Ax14(Y) )
& cp2(X) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
=> ca_Cx1(X) ) ).
fof(axiom_4,axiom,
! [X] :
( cp2(X)
<=> ? [Y0] : ra_Px5(X,Y0) ) ).
fof(axiom_6,axiom,
! [X] :
( cp2xcomp(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ) ).
fof(axiom_15,axiom,
! [X] :
( ca_Ax14(X)
<=> ( ? [Y] :
( rr(X,Y)
& cp1(Y) )
& ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 ) ) ) ).
fof(axiom_16,axiom,
! [X] :
( ca_Cx1(X)
<=> ( cp2xcomp(X)
& cp5xcomp(X)
& cp3xcomp(X)
& cp4xcomp(X) ) ) ).
fof(axiom_25,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ) ).
fof(axiom_26,axiom,
cUnsatisfiable(i2003_11_14_17_21_04740) ).
fof(normalize_0_0,plain,
! [X] :
( ~ ca_Cx1(X)
<=> ( ~ cp2xcomp(X)
| ~ cp3xcomp(X)
| ~ cp4xcomp(X)
| ~ cp5xcomp(X) ) ),
inference(canonicalize,[],[axiom_16]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ ca_Cx1(X)
<=> ( ~ cp2xcomp(X)
| ~ cp3xcomp(X)
| ~ cp4xcomp(X)
| ~ cp5xcomp(X) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ ca_Cx1(X)
| cp2xcomp(X) )
& ( ~ ca_Cx1(X)
| cp3xcomp(X) )
& ( ~ ca_Cx1(X)
| cp4xcomp(X) )
& ( ~ ca_Cx1(X)
| cp5xcomp(X) )
& ( ~ cp2xcomp(X)
| ~ cp3xcomp(X)
| ~ cp4xcomp(X)
| ~ cp5xcomp(X)
| ca_Cx1(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ ca_Cx1(X)
| cp2xcomp(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cp1(X)
| ca_Cx1(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cp1(X)
| ca_Cx1(X) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ ca_Ax14(X)
<=> ( ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y0)
& rr(X,Y1) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) ) ) ),
inference(canonicalize,[],[axiom_15]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ ca_Ax14(X)
<=> ( ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y0)
& rr(X,Y1) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) ) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y,Y0,Y1] :
( ( ~ ca_Ax14(X)
| cp1(skolemFOFtoCNF_Y_5(X)) )
& ( ~ ca_Ax14(X)
| rr(X,skolemFOFtoCNF_Y_5(X)) )
& ( skolemFOFtoCNF_Y0_4(X) != skolemFOFtoCNF_Y1(X)
| ~ cp1(Y)
| ~ rr(X,Y)
| ca_Ax14(X) )
& ( ~ ca_Ax14(X)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 )
& ( ~ cp1(Y)
| ~ rr(X,Y)
| ca_Ax14(X)
| rr(X,skolemFOFtoCNF_Y0_4(X)) )
& ( ~ cp1(Y)
| ~ rr(X,Y)
| ca_Ax14(X)
| rr(X,skolemFOFtoCNF_Y1(X)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ ca_Ax14(X)
| cp1(skolemFOFtoCNF_Y_5(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(canonicalize,[],[axiom_26]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ cp2(X)
| ! [Y] :
( ~ ca_Ax14(Y)
| ~ rinvR(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ cp2(X)
| ! [Y] :
( ~ ca_Ax14(Y)
| ~ rinvR(X,Y) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ( ~ cUnsatisfiable(X)
| ca_Ax14(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| cp2(X) )
& ( ~ cUnsatisfiable(X)
| rinvR(X,skolemFOFtoCNF_Y(X)) )
& ( ~ ca_Ax14(Y)
| ~ cp2(X)
| ~ rinvR(X,Y)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca_Ax14(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ ca_Ax14(X)
| rr(X,skolemFOFtoCNF_Y_5(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rinvR(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(canonicalize,[],[axiom_25]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( ~ rr(Y,X)
| rinvR(X,Y) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ rinvR(X,Y)
| rr(Y,X) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X,Y0,Y1] :
( ~ ca_Ax14(X)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp2(X) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_23,plain,
! [X] :
( ~ cp2(X)
<=> ! [Y0] : ~ ra_Px5(X,Y0) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ cp2(X)
<=> ! [Y0] : ~ ra_Px5(X,Y0) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X,Y0] :
( ( ~ cp2(X)
| ra_Px5(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px5(X,Y0)
| cp2(X) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X] :
( ~ cp2(X)
| ra_Px5(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ cp2xcomp(X)
<=> ? [Y] : ra_Px5(X,Y) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ cp2xcomp(X)
<=> ? [Y] : ra_Px5(X,Y) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X,Y] :
( ( ~ cp2xcomp(X)
| ~ ra_Px5(X,Y) )
& ( cp2xcomp(X)
| ra_Px5(X,skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X,Y] :
( ~ cp2xcomp(X)
| ~ ra_Px5(X,Y) ),
inference(conjunct,[],[normalize_0_29]) ).
cnf(refute_0_0,plain,
( ~ ca_Cx1(X)
| cp2xcomp(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ ca_Cx1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))
| cp2xcomp(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))))]]) ).
cnf(refute_0_2,plain,
( ~ cp1(X)
| ca_Cx1(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ cp1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))
| ca_Cx1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))))]]) ).
cnf(refute_0_4,plain,
( ~ ca_Ax14(X)
| cp1(skolemFOFtoCNF_Y_5(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))
| cp1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))]]) ).
cnf(refute_0_6,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(X)
| ca_Ax14(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_21_04740))]]) ).
cnf(refute_0_9,plain,
ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_04740) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
cp1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))),
inference(resolve,[$cnf( ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
ca_Cx1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
cp2xcomp(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))),
inference(resolve,[$cnf( ca_Cx1(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
( ~ ca_Ax14(X)
| rr(X,skolemFOFtoCNF_Y_5(X)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_14,plain,
( ~ ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))
| rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))]]) ).
cnf(refute_0_15,plain,
rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))),
inference(resolve,[$cnf( ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ cUnsatisfiable(X)
| rinvR(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_17,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| rinvR(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_21_04740))]]) ).
cnf(refute_0_18,plain,
rinvR(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_04740) )],[refute_0_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ rinvR(X,Y)
| rr(Y,X) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_20,plain,
( ~ rinvR(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))
| rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(i2003_11_14_17_21_04740)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))]]) ).
cnf(refute_0_21,plain,
rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740),
inference(resolve,[$cnf( rinvR(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ ca_Ax14(X)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| Y0 = Y1 ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_23,plain,
( ~ ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))
| ~ rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),X_101)
| ~ rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740)
| i2003_11_14_17_21_04740 = X_101 ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))),bind(Y0,$fot(i2003_11_14_17_21_04740)),bind(Y1,$fot(X_101))]]) ).
cnf(refute_0_24,plain,
( ~ ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))
| ~ rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),X_101)
| i2003_11_14_17_21_04740 = X_101 ),
inference(resolve,[$cnf( rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),X_101)
| i2003_11_14_17_21_04740 = X_101 ),
inference(resolve,[$cnf( ca_Ax14(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) )],[refute_0_9,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))
| i2003_11_14_17_21_04740 = skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) ),
inference(subst,[],[refute_0_25:[bind(X_101,$fot(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))))]]) ).
cnf(refute_0_27,plain,
i2003_11_14_17_21_04740 = skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)),
inference(resolve,[$cnf( rr(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740),skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) )],[refute_0_15,refute_0_26]) ).
cnf(refute_0_28,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_29,plain,
( X0 != X0
| X0 != Y2
| Y2 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y2)]]) ).
cnf(refute_0_30,plain,
( X0 != Y2
| Y2 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( i2003_11_14_17_21_04740 != skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))
| skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) = i2003_11_14_17_21_04740 ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(i2003_11_14_17_21_04740)),bind(Y2,$fot(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))))]]) ).
cnf(refute_0_32,plain,
skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) = i2003_11_14_17_21_04740,
inference(resolve,[$cnf( $equal(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
( skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)) != i2003_11_14_17_21_04740
| ~ cp2xcomp(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))
| cp2xcomp(i2003_11_14_17_21_04740) ),
introduced(tautology,[equality,[$cnf( cp2xcomp(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) ),[0],$fot(i2003_11_14_17_21_04740)]]) ).
cnf(refute_0_34,plain,
( ~ cp2xcomp(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)))
| cp2xcomp(i2003_11_14_17_21_04740) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740)),i2003_11_14_17_21_04740) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
cp2xcomp(i2003_11_14_17_21_04740),
inference(resolve,[$cnf( cp2xcomp(skolemFOFtoCNF_Y_5(skolemFOFtoCNF_Y(i2003_11_14_17_21_04740))) )],[refute_0_12,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ cUnsatisfiable(X)
| cp2(X) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_37,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| cp2(i2003_11_14_17_21_04740) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(i2003_11_14_17_21_04740))]]) ).
cnf(refute_0_38,plain,
cp2(i2003_11_14_17_21_04740),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_04740) )],[refute_0_6,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ cp2(X)
| ra_Px5(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_40,plain,
( ~ cp2(i2003_11_14_17_21_04740)
| ra_Px5(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y0(i2003_11_14_17_21_04740)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(i2003_11_14_17_21_04740))]]) ).
cnf(refute_0_41,plain,
ra_Px5(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y0(i2003_11_14_17_21_04740)),
inference(resolve,[$cnf( cp2(i2003_11_14_17_21_04740) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ cp2xcomp(X)
| ~ ra_Px5(X,Y) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_43,plain,
( ~ cp2xcomp(i2003_11_14_17_21_04740)
| ~ ra_Px5(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y0(i2003_11_14_17_21_04740)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(i2003_11_14_17_21_04740)),bind(Y,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_21_04740)))]]) ).
cnf(refute_0_44,plain,
~ cp2xcomp(i2003_11_14_17_21_04740),
inference(resolve,[$cnf( ra_Px5(i2003_11_14_17_21_04740,skolemFOFtoCNF_Y0(i2003_11_14_17_21_04740)) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
$false,
inference(resolve,[$cnf( cp2xcomp(i2003_11_14_17_21_04740) )],[refute_0_35,refute_0_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS108+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 12:20:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39
%------------------------------------------------------------------------------