TSTP Solution File: KRS080+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 03:18:38 EDT 2022
% Result : Unsatisfiable 0.76s 1.00s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of formulae : 119 ( 22 unt; 0 def)
% Number of atoms : 671 ( 165 equ)
% Maximal formula atoms : 235 ( 5 avg)
% Number of connectives : 967 ( 415 ~; 462 |; 83 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 118 ( 0 sgn 64 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cp(Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cp4(Y) )
& ! [Y6,Y7,Y8,Y9] :
( ( rr(X,Y6)
& rr(X,Y7)
& rr(X,Y8)
& rr(X,Y9) )
=> ( Y6 = Y7
| Y6 = Y8
| Y6 = Y9
| Y7 = Y8
| Y7 = Y9
| Y8 = Y9 ) )
& ? [Y] :
( rr(X,Y)
& cp2(Y) )
& ? [Y] :
( rr(X,Y)
& cp3(Y) )
& ? [Y] :
( rr(X,Y)
& cp(Y)
& cp3(Y) )
& ? [Y] :
( rr(X,Y)
& cp2(Y)
& cp(Y) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
=> ~ ( cp2(X)
| cp4(X)
| cp5(X)
| cp3(X) ) ) ).
fof(axiom_4,axiom,
! [X] :
( cp2(X)
=> ~ ( cp4(X)
| cp5(X)
| cp3(X) ) ) ).
fof(axiom_5,axiom,
! [X] :
( cp3(X)
=> ~ ( cp4(X)
| cp5(X) ) ) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y6,Y7,Y8,Y9] :
( Y6 != Y7
& Y6 != Y8
& Y6 != Y9
& Y7 != Y8
& Y7 != Y9
& Y8 != Y9
& rr(X,Y6)
& rr(X,Y7)
& rr(X,Y8)
& rr(X,Y9) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp3(Y)
| ~ rr(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y6,Y7,Y8,Y9] :
( Y6 != Y7
& Y6 != Y8
& Y6 != Y9
& Y7 != Y8
& Y7 != Y9
& Y8 != Y9
& rr(X,Y6)
& rr(X,Y7)
& rr(X,Y8)
& rr(X,Y9) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp3(Y)
| ~ rr(X,Y) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Y0,Y1,Y2,Y3,Y4,Y5,Y6,Y7,Y8,Y9] :
( ( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| cp(skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_6(X)) )
& ( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_5(X)) )
& ( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y_4(X)) )
& ( ~ cUnsatisfiable(X)
| cp4(skolemFOFtoCNF_Y_3(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_3(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_4(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_5(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_6(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rr(X,Y6)
| ~ rr(X,Y7)
| ~ rr(X,Y8)
| ~ rr(X,Y9)
| Y6 = Y7
| Y6 = Y8
| Y6 = Y9
| Y7 = Y8
| Y7 = Y9
| Y8 = Y9 )
& ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y1(X)
| ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y2(X)
| ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y3(X)
| ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y1(X) != skolemFOFtoCNF_Y2(X)
| ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y1(X) != skolemFOFtoCNF_Y3(X)
| ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y2(X) != skolemFOFtoCNF_Y3(X)
| ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X) )
& ( ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y1(X)) )
& ( ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y2(X)) )
& ( ~ cp(Y3)
| ~ cp(Y4)
| ~ cp(Y5)
| ~ cp1(Y)
| ~ cp1(Y3)
| ~ cp2(Y0)
| ~ cp2(Y4)
| ~ cp3(Y1)
| ~ cp3(Y5)
| ~ cp4(Y2)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| ~ rr(X,Y5)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y3(X)) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cp3(X)
| ( ~ cp4(X)
& ~ cp5(X) ) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cp3(X)
| ( ~ cp4(X)
& ~ cp5(X) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ( ~ cp3(X)
| ~ cp4(X) )
& ( ~ cp3(X)
| ~ cp5(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cp3(X)
| ~ cp4(X) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp4(skolemFOFtoCNF_Y_3(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cp1(X)
| ( ~ cp2(X)
& ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cp1(X)
| ( ~ cp2(X)
& ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ( ~ cp1(X)
| ~ cp2(X) )
& ( ~ cp1(X)
| ~ cp3(X) )
& ( ~ cp1(X)
| ~ cp4(X) )
& ( ~ cp1(X)
| ~ cp5(X) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cp1(X)
| ~ cp4(X) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_5(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ cp1(X)
| ~ cp2(X) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_3(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_5(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_20,plain,
! [X,Y6,Y7,Y8,Y9] :
( ~ cUnsatisfiable(X)
| ~ rr(X,Y6)
| ~ rr(X,Y7)
| ~ rr(X,Y8)
| ~ rr(X,Y9)
| Y6 = Y7
| Y6 = Y8
| Y6 = Y9
| Y7 = Y8
| Y7 = Y9
| Y8 = Y9 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ cp2(X)
| ( ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ cp2(X)
| ( ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X] :
( ( ~ cp2(X)
| ~ cp3(X) )
& ( ~ cp2(X)
| ~ cp4(X) )
& ( ~ cp2(X)
| ~ cp5(X) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ cp2(X)
| ~ cp3(X) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_26,plain,
! [X] :
( ~ cp2(X)
| ~ cp4(X) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ cp1(X)
| ~ cp3(X) ),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_3,plain,
cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ cp3(X)
| ~ cp4(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cp3(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224))
| ~ cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(X)
| cp4(skolemFOFtoCNF_Y_3(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_8,plain,
cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
~ cp3(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,plain,
( ~ cp1(X)
| ~ cp4(X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224))
| ~ cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_12,plain,
~ cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_5(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_15,plain,
cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ cp1(X)
| ~ cp2(X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_17,plain,
( ~ cp1(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))
| ~ cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_18,plain,
~ cp1(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_3(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_20,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_21,plain,
rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_23,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_24,plain,
rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_26,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_27,plain,
rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_5(X)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_29,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_30,plain,
rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y6)
| ~ rr(X,Y7)
| ~ rr(X,Y8)
| ~ rr(X,Y9)
| Y6 = Y7
| Y6 = Y8
| Y6 = Y9
| Y7 = Y8
| Y7 = Y9
| Y8 = Y9 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_32,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X_33)
| ~ rr(i2003_11_14_17_19_21224,X_34)
| ~ rr(i2003_11_14_17_19_21224,X_35)
| ~ rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))
| X_33 = X_34
| X_33 = X_35
| X_34 = X_35
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_33
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_34
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_35 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(i2003_11_14_17_19_21224)),bind(Y6,$fot(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))),bind(Y7,$fot(X_33)),bind(Y8,$fot(X_34)),bind(Y9,$fot(X_35))]]) ).
cnf(refute_0_33,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X_33)
| ~ rr(i2003_11_14_17_19_21224,X_34)
| ~ rr(i2003_11_14_17_19_21224,X_35)
| X_33 = X_34
| X_33 = X_35
| X_34 = X_35
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_33
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_34
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_35 ),
inference(resolve,[$cnf( rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) )],[refute_0_30,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ rr(i2003_11_14_17_19_21224,X_33)
| ~ rr(i2003_11_14_17_19_21224,X_34)
| ~ rr(i2003_11_14_17_19_21224,X_35)
| X_33 = X_34
| X_33 = X_35
| X_34 = X_35
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_33
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_34
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_35 ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ rr(i2003_11_14_17_19_21224,X_40)
| ~ rr(i2003_11_14_17_19_21224,X_41)
| ~ rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))
| X_40 = X_41
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = X_40
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = X_41
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_40
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_41
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) ),
inference(subst,[],[refute_0_34:[bind(X_33,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))),bind(X_34,$fot(X_40)),bind(X_35,$fot(X_41))]]) ).
cnf(refute_0_36,plain,
( ~ rr(i2003_11_14_17_19_21224,X_40)
| ~ rr(i2003_11_14_17_19_21224,X_41)
| X_40 = X_41
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = X_40
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = X_41
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_40
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_41
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_27,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ rr(i2003_11_14_17_19_21224,X_43)
| ~ rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = X_43
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = X_43
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_43
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) ),
inference(subst,[],[refute_0_36:[bind(X_40,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))),bind(X_41,$fot(X_43))]]) ).
cnf(refute_0_38,plain,
( ~ rr(i2003_11_14_17_19_21224,X_43)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = X_43
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = X_43
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = X_43
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_24,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(subst,[],[refute_0_38:[bind(X_43,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_40,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_19_21224,skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_21,refute_0_39]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| ~ cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))
| cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
introduced(tautology,[equality,[$cnf( cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_42,plain,
( ~ cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) )],[refute_0_15,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ cp2(X)
| ~ cp3(X) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_45,plain,
( ~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))
| ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_46,plain,
( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_47,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_48,plain,
cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_21224) )],[refute_0_0,refute_0_47]) ).
cnf(refute_0_49,plain,
~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_48,refute_0_45]) ).
cnf(refute_0_50,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_43,refute_0_49]) ).
cnf(refute_0_51,plain,
( skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| cp1(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),
introduced(tautology,[equality,[$cnf( ~ cp1(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),[0],$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_52,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| cp1(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) )],[refute_0_52,refute_0_18]) ).
cnf(refute_0_54,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_3,refute_0_53]) ).
cnf(refute_0_55,plain,
( skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| ~ cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))
| cp2(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
introduced(tautology,[equality,[$cnf( cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) ),[0],$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_56,plain,
( ~ cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| cp2(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| cp2(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_5(i2003_11_14_17_19_21224)) )],[refute_0_15,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ cp2(X)
| ~ cp4(X) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_59,plain,
( ~ cp2(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224))
| ~ cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_58:[bind(X,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_60,plain,
~ cp2(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp4(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_8,refute_0_59]) ).
cnf(refute_0_61,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_63,plain,
( X0 != X0
| X0 != Y10
| Y10 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y10)]]) ).
cnf(refute_0_64,plain,
( X0 != Y10
| Y10 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) ),
inference(subst,[],[refute_0_64:[bind(X0,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))),bind(Y10,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_66,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_61,refute_0_65]) ).
cnf(refute_0_67,plain,
( skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
introduced(tautology,[equality,[$cnf( ~ cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),[0],$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_68,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_68,refute_0_12]) ).
cnf(refute_0_70,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_3,refute_0_69]) ).
cnf(refute_0_71,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) ),
inference(subst,[],[refute_0_64:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))),bind(Y10,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_72,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))
| cp3(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
introduced(tautology,[equality,[$cnf( ~ cp3(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_74,plain,
( ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| cp3(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))
| skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) ),
inference(resolve,[$cnf( cp3(skolemFOFtoCNF_Y_3(i2003_11_14_17_19_21224)) )],[refute_0_74,refute_0_9]) ).
cnf(refute_0_76,plain,
skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224),
inference(resolve,[$cnf( cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_48,refute_0_75]) ).
cnf(refute_0_77,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224) ),
inference(subst,[],[refute_0_64:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))),bind(Y10,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_78,plain,
skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) = skolemFOFtoCNF_Y(i2003_11_14_17_19_21224),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224) != skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)
| ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
introduced(tautology,[equality,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))]]) ).
cnf(refute_0_80,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224))
| cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224),skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_21224)) )],[refute_0_3,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ cp1(X)
| ~ cp3(X) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_83,plain,
( ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224))
| ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) ),
inference(subst,[],[refute_0_82:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)))]]) ).
cnf(refute_0_84,plain,
~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)),
inference(resolve,[$cnf( cp3(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_48,refute_0_83]) ).
cnf(refute_0_85,plain,
$false,
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_21224)) )],[refute_0_81,refute_0_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 7 20:10:21 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.28 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.76/1.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.00
% 0.76/1.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.76/1.01
%------------------------------------------------------------------------------