TSTP Solution File: KRS112+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 03:18:45 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 110 ( 23 unt; 0 def)
% Number of atoms : 262 ( 30 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 287 ( 135 ~; 108 |; 21 &)
% ( 18 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 127 ( 1 sgn 86 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& ca_Ax2(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_4,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y1] : ra_Px1(X,Y1) ) ).
fof(axiom_5,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cpxcomp(X)
& ! [Y] :
( rinvF1(X,Y)
=> ca_Vx3(Y) ) ) ) ).
fof(axiom_6,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rs(X,Y)
& cowlThing(Y) ) ) ).
fof(axiom_7,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ) ).
fof(axiom_8,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ) ).
fof(axiom_10,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ) ).
fof(axiom_13,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256) ).
fof(axiom_14,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ) ).
fof(axiom_15,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ) ).
fof(normalize_0_0,plain,
! [X] :
( ~ ca_Ax2(X)
<=> ( ~ cpxcomp(X)
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvF1(X,Y) ) ) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ ca_Ax2(X)
<=> ( ~ cpxcomp(X)
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvF1(X,Y) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ ca_Ax2(X)
| cpxcomp(X) )
& ( ~ ca_Ax2(X)
| ~ rinvF1(X,Y)
| ca_Vx3(Y) )
& ( ~ ca_Vx3(skolemFOFtoCNF_Y_3(X))
| ~ cpxcomp(X)
| ca_Ax2(X) )
& ( ~ cpxcomp(X)
| ca_Ax2(X)
| rinvF1(X,skolemFOFtoCNF_Y_3(X)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ ca_Ax2(X)
| cpxcomp(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(canonicalize,[],[axiom_13]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y,Y0] :
( ( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rf1(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ ca_Ax2(Y)
| ~ cp(Y0)
| ~ rf(X,Y0)
| ~ rf1(X,Y)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cpxcomp(X)
<=> ! [Y1] : ~ ra_Px1(X,Y1) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cpxcomp(X)
<=> ! [Y1] : ~ ra_Px1(X,Y1) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y1] :
( ( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y1)
| cpxcomp(X) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cp(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cp(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ( ~ cp(X)
| ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,skolemFOFtoCNF_Y_2(X)) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rf1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(canonicalize,[],[axiom_15]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) ) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ( ~ ca_Vx3(X)
| cowlThing(skolemFOFtoCNF_Y_4(X)) )
& ( ~ ca_Vx3(X)
| rs(X,skolemFOFtoCNF_Y_4(X)) )
& ( ~ cowlThing(Y)
| ~ rs(X,Y)
| ca_Vx3(X) ) ),
inference(clausify,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X] :
( ~ ca_Vx3(X)
| rs(X,skolemFOFtoCNF_Y_4(X)) ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( ~ rf1(Y,X)
<=> ~ rinvF1(X,Y) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_0_25,plain,
! [X,Y] :
( ~ rf1(Y,X)
<=> ~ rinvF1(X,Y) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X,Y] :
( ( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ( ~ rinvF1(X,Y)
| rf1(Y,X) ) ),
inference(clausify,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X,Y] :
( ~ rf1(Y,X)
| rinvF1(X,Y) ),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X,Y] :
( ~ ca_Ax2(X)
| ~ rinvF1(X,Y)
| ca_Vx3(Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_29,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(canonicalize,[],[axiom_14]) ).
fof(normalize_0_30,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_32,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_33,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X,Y,Z] :
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_35,plain,
! [X,Y,Z] :
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( ~ ca_Ax2(X)
| cpxcomp(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_2,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_5,plain,
ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_19256) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
( ~ cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_9,plain,
ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))),
inference(resolve,[$cnf( cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_11,plain,
( ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| ~ ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))),bind(Y,$fot(skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))))]]) ).
cnf(refute_0_12,plain,
~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ cUnsatisfiable(X)
| rf1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_15,plain,
rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_19256) )],[refute_0_2,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_17,plain,
( ~ rs(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256))
| rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_21_19256)),bind(Y,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_18,plain,
( ~ ca_Vx3(X)
| rs(X,skolemFOFtoCNF_Y_4(X)) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_19,plain,
( ~ ca_Vx3(i2003_11_14_17_21_19256)
| rs(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_20,plain,
( ~ rf1(Y,X)
| rinvF1(X,Y) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_21,plain,
( ~ rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| rinvF1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))),bind(Y,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_22,plain,
rinvF1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256),
inference(resolve,[$cnf( rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_15,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ ca_Ax2(X)
| ~ rinvF1(X,Y)
| ca_Vx3(Y) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_24,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| ~ rinvF1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256)
| ca_Vx3(i2003_11_14_17_21_19256) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))),bind(Y,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_25,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| ca_Vx3(i2003_11_14_17_21_19256) ),
inference(resolve,[$cnf( rinvF1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
ca_Vx3(i2003_11_14_17_21_19256),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_5,refute_0_25]) ).
cnf(refute_0_27,plain,
rs(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( ca_Vx3(i2003_11_14_17_21_19256) )],[refute_0_26,refute_0_19]) ).
cnf(refute_0_28,plain,
rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( rs(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) )],[refute_0_27,refute_0_17]) ).
cnf(refute_0_29,plain,
( ~ rs(X,Y)
| rf(X,Y) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_30,plain,
( ~ rs(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256))
| rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(i2003_11_14_17_21_19256)),bind(Y,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_31,plain,
rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( rs(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_33,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_34,plain,
rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_19256) )],[refute_0_2,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_36,plain,
( ~ rf(i2003_11_14_17_21_19256,X_44)
| ~ rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = X_44 ),
inference(subst,[],[refute_0_35:[bind(X,$fot(i2003_11_14_17_21_19256)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))),bind(Z,$fot(X_44))]]) ).
cnf(refute_0_37,plain,
( ~ rf(i2003_11_14_17_21_19256,X_44)
| skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = X_44 ),
inference(resolve,[$cnf( rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256) ),
inference(subst,[],[refute_0_37:[bind(X_44,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_39,plain,
skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256),
inference(resolve,[$cnf( rf(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_41,plain,
( X0 != X0
| X0 != Y2
| Y2 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y2)]]) ).
cnf(refute_0_42,plain,
( X0 != Y2
| Y2 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) != skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)
| skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))),bind(Y2,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_44,plain,
skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y(i2003_11_14_17_21_19256),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) )],[refute_0_39,refute_0_43]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256) != skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)
| ~ rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256))
| rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) ),
introduced(tautology,[equality,[$cnf( rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) ),[1],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_46,plain,
( ~ rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256))
| rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_19256)) )],[refute_0_28,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_49,plain,
( ~ rf1(i2003_11_14_17_21_19256,X_48)
| ~ rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = X_48 ),
inference(subst,[],[refute_0_48:[bind(X,$fot(i2003_11_14_17_21_19256)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))),bind(Z,$fot(X_48))]]) ).
cnf(refute_0_50,plain,
( ~ rf1(i2003_11_14_17_21_19256,X_48)
| skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = X_48 ),
inference(resolve,[$cnf( rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256) ),
inference(subst,[],[refute_0_50:[bind(X_48,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_52,plain,
skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),
inference(resolve,[$cnf( rf1(i2003_11_14_17_21_19256,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_15,refute_0_51]) ).
cnf(refute_0_53,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) != skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y(i2003_11_14_17_21_19256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))),bind(Y2,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)))]]) ).
cnf(refute_0_54,plain,
skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256) = skolemFOFtoCNF_Y(i2003_11_14_17_21_19256),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256) != skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)
| ~ cp(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))
| cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) ),
introduced(tautology,[equality,[$cnf( ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_56,plain,
( ~ cp(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256))
| cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256),skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
~ cp(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_19256)) )],[refute_0_56,refute_0_12]) ).
cnf(refute_0_58,plain,
( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_59,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| cp(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) ),
inference(subst,[],[refute_0_58:[bind(X,$fot(i2003_11_14_17_21_19256))]]) ).
cnf(refute_0_60,plain,
cp(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_19256) )],[refute_0_2,refute_0_59]) ).
cnf(refute_0_61,plain,
$false,
inference(resolve,[$cnf( cp(skolemFOFtoCNF_Y(i2003_11_14_17_21_19256)) )],[refute_0_60,refute_0_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.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 10:06:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------