TSTP Solution File: KRS117+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 03:18:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 110 ( 24 unt; 0 def)
% Number of atoms : 268 ( 19 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 299 ( 141 ~; 108 |; 25 &)
% ( 21 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 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 : 126 ( 1 sgn 89 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ccxcomp(X)
& ! [Y] :
( rinvR(X,Y)
=> ca_Vx3(Y) )
& ? [Y] :
( rinvF(X,Y)
& cd(Y) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_4,axiom,
! [X] :
( ccxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ) ).
fof(axiom_5,axiom,
! [X] :
( cd(X)
<=> ( ? [Y] :
( rf(X,Y)
& ccxcomp(Y) )
& cc(X) ) ) ).
fof(axiom_6,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rinvF(X,Y)
& cd(Y) ) ) ).
fof(axiom_7,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> Y0 = Y1 ) ) ).
fof(axiom_8,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ) ).
fof(axiom_9,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_37349) ).
fof(axiom_12,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cc(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cc(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ cc(X)
| ~ ra_Px1(X,Y) )
& ( cc(X)
| ra_Px1(X,skolemFOFtoCNF_Y_2(X)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ cc(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ ccxcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ ccxcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y0] :
( ( ~ ccxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y0)
| ccxcomp(X) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ ccxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cd(X)
<=> ( ~ cc(X)
| ! [Y] :
( ~ ccxcomp(Y)
| ~ rf(X,Y) ) ) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cd(X)
<=> ( ~ cc(X)
| ! [Y] :
( ~ ccxcomp(Y)
| ~ rf(X,Y) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ( ~ cd(X)
| cc(X) )
& ( ~ cd(X)
| ccxcomp(skolemFOFtoCNF_Y_3(X)) )
& ( ~ cd(X)
| rf(X,skolemFOFtoCNF_Y_3(X)) )
& ( ~ cc(X)
| ~ ccxcomp(Y)
| ~ rf(X,Y)
| cd(X) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cd(X)
| ccxcomp(skolemFOFtoCNF_Y_3(X)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ( ~ ca_Vx3(X)
| cd(skolemFOFtoCNF_Y_4(X)) )
& ( ~ ca_Vx3(X)
| rinvF(X,skolemFOFtoCNF_Y_4(X)) )
& ( ~ cd(Y)
| ~ rinvF(X,Y)
| ca_Vx3(X) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ ca_Vx3(X)
| cd(skolemFOFtoCNF_Y_4(X)) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( ~ rr(Y,X)
| rinvR(X,Y) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(canonicalize,[],[axiom_11]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ ccxcomp(X)
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ ccxcomp(X)
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) ) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X,Y] :
( ( ~ cUnsatisfiable(X)
| ccxcomp(X) )
& ( ~ cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| rinvF(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| ca_Vx3(Y) )
& ( ~ ca_Vx3(skolemFOFtoCNF_Y(X))
| ~ ccxcomp(X)
| ~ cd(Y)
| ~ rinvF(X,Y)
| cUnsatisfiable(X) )
& ( ~ ccxcomp(X)
| ~ cd(Y)
| ~ rinvF(X,Y)
| cUnsatisfiable(X)
| rinvR(X,skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rinvF(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_26,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( ~ rinvF(X,Y)
| rf(Y,X) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X,Y] :
( ~ rinvF(X,Y)
| rf(Y,X) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X,Y] :
( ~ rf(X,Y)
| rr(X,Y) ),
inference(canonicalize,[],[axiom_12]) ).
fof(normalize_0_30,plain,
! [X,Y] :
( ~ rf(X,Y)
| rr(X,Y) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| ca_Vx3(Y) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_32,plain,
! [X] :
( ~ cd(X)
| rf(X,skolemFOFtoCNF_Y_3(X)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_33,plain,
! [X] :
( ~ ca_Vx3(X)
| rinvF(X,skolemFOFtoCNF_Y_4(X)) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_34,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_35,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_0_36,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [X,Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ),
inference(simplify,[],[normalize_0_34,normalize_0_37]) ).
fof(normalize_0_39,plain,
! [X,Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [X] :
( ~ cd(X)
| cc(X) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_41,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_23]) ).
cnf(refute_0_0,plain,
( ~ cc(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ cc(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))
| ~ ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))),bind(Y,$fot(skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))))]]) ).
cnf(refute_0_2,plain,
( ~ ccxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ ccxcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))
| ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))))]]) ).
cnf(refute_0_4,plain,
( ~ cd(X)
| ccxcomp(skolemFOFtoCNF_Y_3(X)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ cd(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))
| ccxcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))]]) ).
cnf(refute_0_6,plain,
( ~ ca_Vx3(X)
| cd(skolemFOFtoCNF_Y_4(X)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_7,plain,
( ~ ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| cd(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))]]) ).
cnf(refute_0_8,plain,
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_9,plain,
( ~ rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
| rinvR(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(i2003_11_14_17_21_37349)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))]]) ).
cnf(refute_0_10,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_11,plain,
( ~ cUnsatisfiable(X)
| rinvF(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
| rinvF(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(i2003_11_14_17_21_37349))]]) ).
cnf(refute_0_13,plain,
rinvF(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_37349) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ rinvF(X,Y)
| rf(Y,X) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_15,plain,
( ~ rinvF(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i2003_11_14_17_21_37349)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))]]) ).
cnf(refute_0_16,plain,
rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolve,[$cnf( rinvF(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ rf(X,Y)
| rr(X,Y) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_18,plain,
( ~ rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
| rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),bind(Y,$fot(i2003_11_14_17_21_37349))]]) ).
cnf(refute_0_19,plain,
rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
rinvR(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349) )],[refute_0_19,refute_0_9]) ).
cnf(refute_0_21,plain,
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| ca_Vx3(Y) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_22,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
| ~ rinvR(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(i2003_11_14_17_21_37349)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))]]) ).
cnf(refute_0_23,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
| ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(resolve,[$cnf( rinvR(i2003_11_14_17_21_37349,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_37349) )],[refute_0_10,refute_0_23]) ).
cnf(refute_0_25,plain,
cd(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),
inference(resolve,[$cnf( ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_24,refute_0_7]) ).
cnf(refute_0_26,plain,
ccxcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) )],[refute_0_25,refute_0_5]) ).
cnf(refute_0_27,plain,
ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))),
inference(resolve,[$cnf( ccxcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) )],[refute_0_26,refute_0_3]) ).
cnf(refute_0_28,plain,
~ cc(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))),
inference(resolve,[$cnf( ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))) )],[refute_0_27,refute_0_1]) ).
cnf(refute_0_29,plain,
( ~ cd(X)
| rf(X,skolemFOFtoCNF_Y_3(X)) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_30,plain,
( ~ cd(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))
| rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))]]) ).
cnf(refute_0_31,plain,
rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))
| rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),bind(Y,$fot(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))]]) ).
cnf(refute_0_33,plain,
( ~ ca_Vx3(X)
| rinvF(X,skolemFOFtoCNF_Y_4(X)) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_34,plain,
( ~ ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) ),
inference(subst,[],[refute_0_33:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))]]) ).
cnf(refute_0_35,plain,
rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),
inference(resolve,[$cnf( ca_Vx3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_24,refute_0_34]) ).
cnf(refute_0_36,plain,
rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) )],[refute_0_35,refute_0_32]) ).
cnf(refute_0_37,plain,
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_38,plain,
( ~ rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),X_38)
| ~ rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349) = X_38 ),
inference(subst,[],[refute_0_37:[bind(X,$fot(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))),bind(Y0,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),bind(Y1,$fot(X_38))]]) ).
cnf(refute_0_39,plain,
( ~ rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),X_38)
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349) = X_38 ),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349) = skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) ),
inference(subst,[],[refute_0_39:[bind(X_38,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))))]]) ).
cnf(refute_0_41,plain,
skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349) = skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) )],[refute_0_31,refute_0_40]) ).
cnf(refute_0_42,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_43,plain,
( X0 != X0
| X0 != Y2
| Y2 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y2)]]) ).
cnf(refute_0_44,plain,
( X0 != Y2
| Y2 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349) != skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))
| skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) = skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349) ),
inference(subst,[],[refute_0_44:[bind(X0,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),bind(Y2,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))))]]) ).
cnf(refute_0_46,plain,
skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) = skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
( skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))) != skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)
| ~ cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| cc(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) ),
introduced(tautology,[equality,[$cnf( ~ cc(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) ),[0],$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))]]) ).
cnf(refute_0_48,plain,
( ~ cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| cc(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
~ cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))) )],[refute_0_48,refute_0_28]) ).
cnf(refute_0_50,plain,
( ~ cd(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_51,plain,
( ~ cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349))
| cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)))]]) ).
cnf(refute_0_52,plain,
( ~ cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_53,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
| cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(i2003_11_14_17_21_37349))]]) ).
cnf(refute_0_54,plain,
cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_37349) )],[refute_0_10,refute_0_53]) ).
cnf(refute_0_55,plain,
cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_54,refute_0_51]) ).
cnf(refute_0_56,plain,
$false,
inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_37349)) )],[refute_0_55,refute_0_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 05:29:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46
% 0.20/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.47
%------------------------------------------------------------------------------