TSTP Solution File: KRS109+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS109+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 03:18:44 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 96 ( 19 unt; 0 def)
% Number of atoms : 241 ( 18 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 271 ( 126 ~; 97 |; 23 &)
% ( 21 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 116 ( 1 sgn 79 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( cpxcomp(X)
& ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_4,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ) ).
fof(axiom_5,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rinvS(X,Y)
=> cp(Y) )
& ! [Y] :
( rinvF(X,Y)
=> ca_Vx3(Y) ) ) ) ).
fof(axiom_6,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rs(X,Y)
& cp(Y) ) ) ).
fof(axiom_7,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ) ).
fof(axiom_9,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ) ).
fof(axiom_11,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ) ).
fof(axiom_13,axiom,
cUnsatisfiable(i2003_11_14_17_21_08508) ).
fof(axiom_14,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ rinvS(X,Y)
<=> ~ rs(Y,X) ),
inference(canonicalize,[],[axiom_11]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ rinvS(X,Y)
<=> ~ rs(Y,X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ rinvS(X,Y)
| rs(Y,X) )
& ( ~ rs(Y,X)
| rinvS(X,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ rs(Y,X)
| rinvS(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ( ~ ca_Vx3(X)
| cp(skolemFOFtoCNF_Y_4(X)) )
& ( ~ ca_Vx3(X)
| rs(X,skolemFOFtoCNF_Y_4(X)) )
& ( ~ cp(Y)
| ~ rs(X,Y)
| ca_Vx3(X) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ ca_Vx3(X)
| rs(X,skolemFOFtoCNF_Y_4(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
cUnsatisfiable(i2003_11_14_17_21_08508),
inference(canonicalize,[],[axiom_13]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ cpxcomp(X)
| ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ cpxcomp(X)
| ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) ) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| cpxcomp(X) )
& ( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) )
& ( ~ ca_Ax2(Y)
| ~ cpxcomp(X)
| ~ rf(X,Y)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( ~ rinvF(X,Y)
| rf(Y,X) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ ca_Ax2(X)
<=> ( ? [Y] :
( ~ ca_Vx3(Y)
& rinvF(X,Y) )
| ? [Y] :
( ~ cp(Y)
& rinvS(X,Y) ) ) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ ca_Ax2(X)
<=> ( ? [Y] :
( ~ ca_Vx3(Y)
& rinvF(X,Y) )
| ? [Y] :
( ~ cp(Y)
& rinvS(X,Y) ) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ ca_Ax2(X)
| ~ rinvF(X,Y)
| ca_Vx3(Y) )
& ( ~ ca_Ax2(X)
| ~ rinvS(X,Y)
| cp(Y) )
& ( ~ ca_Vx3(skolemFOFtoCNF_Y_2(X))
| ~ cp(skolemFOFtoCNF_Y_3(X))
| ca_Ax2(X) )
& ( ~ ca_Vx3(skolemFOFtoCNF_Y_2(X))
| ca_Ax2(X)
| rinvS(X,skolemFOFtoCNF_Y_3(X)) )
& ( ~ cp(skolemFOFtoCNF_Y_3(X))
| ca_Ax2(X)
| rinvF(X,skolemFOFtoCNF_Y_2(X)) )
& ( ca_Ax2(X)
| rinvF(X,skolemFOFtoCNF_Y_2(X))
| rinvS(X,skolemFOFtoCNF_Y_3(X)) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ ca_Ax2(X)
| ~ rinvF(X,Y)
| ca_Vx3(Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ~ ca_Ax2(X)
| ~ rinvS(X,Y)
| cp(Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_23,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cpxcomp(X) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ cpxcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ cpxcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X,Y0] :
( ( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y0)
| cpxcomp(X) ) ),
inference(clausify,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ cp(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_29,plain,
! [X] :
( ~ cp(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X,Y] :
( ( ~ cp(X)
| ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X,Y] :
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(canonicalize,[],[axiom_14]) ).
fof(normalize_0_33,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_35,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(specialize,[],[normalize_0_34]) ).
cnf(refute_0_0,plain,
( ~ rs(Y,X)
| rinvS(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ rs(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))
| rinvS(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))),bind(Y,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_2,plain,
( ~ ca_Vx3(X)
| rs(X,skolemFOFtoCNF_Y_4(X)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ ca_Vx3(i2003_11_14_17_21_08508)
| rs(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_4,plain,
cUnsatisfiable(i2003_11_14_17_21_08508),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_7,plain,
rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_08508) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ rf(Y,X)
| rinvF(X,Y) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_9,plain,
( ~ rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))
| rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))),bind(Y,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_10,plain,
rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508),
inference(resolve,[$cnf( rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ ca_Ax2(X)
| ~ rinvF(X,Y)
| ca_Vx3(Y) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_12,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))
| ~ rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508)
| ca_Vx3(i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))),bind(Y,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_13,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))
| ca_Vx3(i2003_11_14_17_21_08508) ),
inference(resolve,[$cnf( rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_15,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_16,plain,
ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_08508) )],[refute_0_4,refute_0_15]) ).
cnf(refute_0_17,plain,
ca_Vx3(i2003_11_14_17_21_08508),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) )],[refute_0_16,refute_0_13]) ).
cnf(refute_0_18,plain,
rs(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( ca_Vx3(i2003_11_14_17_21_08508) )],[refute_0_17,refute_0_3]) ).
cnf(refute_0_19,plain,
rinvS(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508),
inference(resolve,[$cnf( rs(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) )],[refute_0_18,refute_0_1]) ).
cnf(refute_0_20,plain,
( ~ ca_Ax2(X)
| ~ rinvS(X,Y)
| cp(Y) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))
| ~ rinvS(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508)
| cp(i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))),bind(Y,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_22,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))
| cp(i2003_11_14_17_21_08508) ),
inference(resolve,[$cnf( rinvS(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ cUnsatisfiable(X)
| cpxcomp(X) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| cpxcomp(i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_25,plain,
cpxcomp(i2003_11_14_17_21_08508),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_08508) )],[refute_0_4,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_27,plain,
( ~ cpxcomp(i2003_11_14_17_21_08508)
| ra_Px1(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y0(i2003_11_14_17_21_08508)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_28,plain,
ra_Px1(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y0(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( cpxcomp(i2003_11_14_17_21_08508) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_30,plain,
( ~ cp(i2003_11_14_17_21_08508)
| ~ ra_Px1(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y0(i2003_11_14_17_21_08508)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(i2003_11_14_17_21_08508)),bind(Y,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_21_08508)))]]) ).
cnf(refute_0_31,plain,
~ cp(i2003_11_14_17_21_08508),
inference(resolve,[$cnf( ra_Px1(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y0(i2003_11_14_17_21_08508)) )],[refute_0_28,refute_0_30]) ).
cnf(refute_0_32,plain,
~ ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( cp(i2003_11_14_17_21_08508) )],[refute_0_22,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ rs(X,Y)
| rf(X,Y) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_34,plain,
( ~ rs(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))
| rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) ),
inference(subst,[],[refute_0_33:[bind(X,$fot(i2003_11_14_17_21_08508)),bind(Y,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)))]]) ).
cnf(refute_0_35,plain,
rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( rs(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) )],[refute_0_18,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_37,plain,
( ~ rf(i2003_11_14_17_21_08508,X_53)
| ~ rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_08508) = X_53 ),
inference(subst,[],[refute_0_36:[bind(X,$fot(i2003_11_14_17_21_08508)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))),bind(Z,$fot(X_53))]]) ).
cnf(refute_0_38,plain,
( ~ rf(i2003_11_14_17_21_08508,X_53)
| skolemFOFtoCNF_Y(i2003_11_14_17_21_08508) = X_53 ),
inference(resolve,[$cnf( rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) )],[refute_0_7,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_08508) = skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_38:[bind(X_53,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)))]]) ).
cnf(refute_0_40,plain,
skolemFOFtoCNF_Y(i2003_11_14_17_21_08508) = skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508),
inference(resolve,[$cnf( rf(i2003_11_14_17_21_08508,skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_42,plain,
( X0 != X0
| X0 != Y1
| Y1 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y1)]]) ).
cnf(refute_0_43,plain,
( X0 != Y1
| Y1 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_21_08508) != skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)
| skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508) = skolemFOFtoCNF_Y(i2003_11_14_17_21_08508) ),
inference(subst,[],[refute_0_43:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))),bind(Y1,$fot(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)))]]) ).
cnf(refute_0_45,plain,
skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508) = skolemFOFtoCNF_Y(i2003_11_14_17_21_08508),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508),skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) )],[refute_0_40,refute_0_44]) ).
cnf(refute_0_46,plain,
( skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508) != skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)
| ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))
| ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) ),
introduced(tautology,[equality,[$cnf( ~ ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))]]) ).
cnf(refute_0_47,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508))
| ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508),skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y_4(i2003_11_14_17_21_08508)) )],[refute_0_47,refute_0_32]) ).
cnf(refute_0_49,plain,
$false,
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_08508)) )],[refute_0_16,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS109+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 : n025.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 13:48:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------