TSTP Solution File: KRS082+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 71 ( 13 unt; 0 def)
% Number of atoms : 250 ( 0 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 304 ( 125 ~; 104 |; 53 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 0 sgn 75 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( rs(X,Y)
& ? [Z] :
( rp(Y,Z)
& cowlThing(Z) )
& ! [Z] :
( rr(Y,Z)
=> cc(Z) )
& ! [Z] :
( rp(Y,Z)
=> ? [W] :
( rr(Z,W)
& cowlThing(W) ) )
& ! [Z] :
( rp(Y,Z)
=> ? [W] :
( rp(Z,W)
& cowlThing(W) ) )
& ! [Z] :
( rp(Y,Z)
=> ! [W] :
( rr(Z,W)
=> cc(W) ) )
& ? [Z] :
( rr(Y,Z)
& cowlThing(Z) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ) ).
fof(axiom_4,axiom,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ! [Z] :
( rinvP(Y,Z)
=> ! [W] :
( rinvS(Z,W)
=> ~ ca(W) ) ) ) ) ).
fof(axiom_5,axiom,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ) ).
fof(axiom_6,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ) ).
fof(axiom_7,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_19_28752) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ? [Y] :
( rs(X,Y)
& ? [Z] :
( cowlThing(Z)
& rp(Y,Z) )
& ? [Z] :
( cowlThing(Z)
& rr(Y,Z) )
& ! [Z] :
( ~ rp(Y,Z)
| ? [W] :
( cowlThing(W)
& rp(Z,W) ) )
& ! [Z] :
( ~ rp(Y,Z)
| ? [W] :
( cowlThing(W)
& rr(Z,W) ) )
& ! [Z] :
( ~ rp(Y,Z)
| ! [W] :
( ~ rr(Z,W)
| cc(W) ) )
& ! [Z] :
( ~ rr(Y,Z)
| cc(Z) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ? [Y] :
( rs(X,Y)
& ? [Z] :
( cowlThing(Z)
& rp(Y,Z) )
& ? [Z] :
( cowlThing(Z)
& rr(Y,Z) )
& ! [Z] :
( ~ rp(Y,Z)
| ? [W] :
( cowlThing(W)
& rp(Z,W) ) )
& ! [Z] :
( ~ rp(Y,Z)
| ? [W] :
( cowlThing(W)
& rr(Z,W) ) )
& ! [Z] :
( ~ rp(Y,Z)
| ! [W] :
( ~ rr(Z,W)
| cc(W) ) )
& ! [Z] :
( ~ rr(Y,Z)
| cc(Z) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [W,X,Z] :
( ( ~ cUnsatisfiable(X)
| cowlThing(skolemFOFtoCNF_Z(X)) )
& ( ~ cUnsatisfiable(X)
| cowlThing(skolemFOFtoCNF_Z_1(X)) )
& ( ~ cUnsatisfiable(X)
| rp(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z_1(X)) )
& ( ~ cUnsatisfiable(X)
| rr(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) )
& ( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| cowlThing(skolemFOFtoCNF_W(Z)) )
& ( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| cowlThing(skolemFOFtoCNF_W_1(Z)) )
& ( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| rp(Z,skolemFOFtoCNF_W_1(Z)) )
& ( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| rr(Z,skolemFOFtoCNF_W(Z)) )
& ( ~ cUnsatisfiable(X)
| ~ rr(skolemFOFtoCNF_Y(X),Z)
| cc(Z) )
& ( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| ~ rr(Z,W)
| cc(W) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ rinvS(X,Y)
<=> ~ rs(Y,X) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ rinvS(X,Y)
<=> ~ rs(Y,X) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ( ~ rinvS(X,Y)
| rs(Y,X) )
& ( ~ rs(Y,X)
| rinvS(X,Y) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ rs(Y,X)
| rinvS(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rp(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ rinvP(X,Y)
<=> ~ rp(Y,X) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ rinvP(X,Y)
<=> ~ rp(Y,X) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ( ~ rinvP(X,Y)
| rp(Y,X) )
& ( ~ rp(Y,X)
| rinvP(X,Y) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ rp(Y,X)
| rinvP(X,Y) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( ~ rr(Y,X)
| rinvR(X,Y) ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Z] :
( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| rr(Z,skolemFOFtoCNF_W(Z)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ cc(X)
<=> ? [Y] :
( rinvR(X,Y)
& ? [Z] :
( rinvP(Y,Z)
& ? [W] :
( ca(W)
& rinvS(Z,W) ) ) ) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ cc(X)
<=> ? [Y] :
( rinvR(X,Y)
& ? [Z] :
( rinvP(Y,Z)
& ? [W] :
( ca(W)
& rinvS(Z,W) ) ) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [W,X,Y,Z] :
( ( ca(skolemFOFtoCNF_W_2(X))
| cc(X) )
& ( cc(X)
| rinvP(skolemFOFtoCNF_Y_1(X),skolemFOFtoCNF_Z_2(X)) )
& ( cc(X)
| rinvR(X,skolemFOFtoCNF_Y_1(X)) )
& ( cc(X)
| rinvS(skolemFOFtoCNF_Z_2(X),skolemFOFtoCNF_W_2(X)) )
& ( ~ ca(W)
| ~ cc(X)
| ~ rinvP(Y,Z)
| ~ rinvR(X,Y)
| ~ rinvS(Z,W) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [W,X,Y,Z] :
( ~ ca(W)
| ~ cc(X)
| ~ rinvP(Y,Z)
| ~ rinvR(X,Y)
| ~ rinvS(Z,W) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [W,X,Z] :
( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| ~ rr(Z,W)
| cc(W) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca(X) ),
inference(specialize,[],[normalize_0_24]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rs(i2003_11_14_17_19_28752,skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_19_28752))]]) ).
cnf(refute_0_3,plain,
rs(i2003_11_14_17_19_28752,skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_28752) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ rs(Y,X)
| rinvS(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ rs(i2003_11_14_17_19_28752,skolemFOFtoCNF_Y(i2003_11_14_17_19_28752))
| rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752))),bind(Y,$fot(i2003_11_14_17_19_28752))]]) ).
cnf(refute_0_6,plain,
rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752),
inference(resolve,[$cnf( rs(i2003_11_14_17_19_28752,skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(X)
| rp(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z_1(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_19_28752))]]) ).
cnf(refute_0_9,plain,
rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_28752) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ rp(Y,X)
| rinvP(X,Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))
| rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)))]]) ).
cnf(refute_0_12,plain,
rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)),
inference(resolve,[$cnf( rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
( ~ rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))
| rinvR(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))),bind(Y,$fot(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))]]) ).
cnf(refute_0_15,plain,
( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| rr(Z,skolemFOFtoCNF_W(Z)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ~ rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))
| rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(i2003_11_14_17_19_28752)),bind(Z,$fot(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))]]) ).
cnf(refute_0_17,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))) ),
inference(resolve,[$cnf( rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)) )],[refute_0_9,refute_0_16]) ).
cnf(refute_0_18,plain,
rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_28752) )],[refute_0_0,refute_0_17]) ).
cnf(refute_0_19,plain,
rinvR(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)),
inference(resolve,[$cnf( rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))) )],[refute_0_18,refute_0_14]) ).
cnf(refute_0_20,plain,
( ~ ca(W)
| ~ cc(X)
| ~ rinvP(Y,Z)
| ~ rinvR(X,Y)
| ~ rinvS(Z,W) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ ca(X_127)
| ~ cc(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))
| ~ rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),X_130)
| ~ rinvR(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))
| ~ rinvS(X_130,X_127) ),
inference(subst,[],[refute_0_20:[bind(W,$fot(X_127)),bind(X,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))),bind(Y,$fot(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))),bind(Z,$fot(X_130))]]) ).
cnf(refute_0_22,plain,
( ~ ca(X_127)
| ~ cc(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))
| ~ rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),X_130)
| ~ rinvS(X_130,X_127) ),
inference(resolve,[$cnf( rinvR(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ cUnsatisfiable(X)
| ~ rp(skolemFOFtoCNF_Y(X),Z)
| ~ rr(Z,W)
| cc(W) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ~ rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))
| ~ rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),X_64)
| cc(X_64) ),
inference(subst,[],[refute_0_23:[bind(W,$fot(X_64)),bind(X,$fot(i2003_11_14_17_19_28752)),bind(Z,$fot(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))]]) ).
cnf(refute_0_25,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ~ rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),X_64)
| cc(X_64) ),
inference(resolve,[$cnf( rp(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)) )],[refute_0_9,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),X_64)
| cc(X_64) ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_28752) )],[refute_0_0,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752)))
| cc(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))) ),
inference(subst,[],[refute_0_26:[bind(X_64,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))))]]) ).
cnf(refute_0_28,plain,
cc(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))),
inference(resolve,[$cnf( rr(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ ca(X_127)
| ~ rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),X_130)
| ~ rinvS(X_130,X_127) ),
inference(resolve,[$cnf( cc(skolemFOFtoCNF_W(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752))) )],[refute_0_28,refute_0_22]) ).
cnf(refute_0_30,plain,
( ~ ca(X_131)
| ~ rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_Y(i2003_11_14_17_19_28752))
| ~ rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),X_131) ),
inference(subst,[],[refute_0_29:[bind(X_127,$fot(X_131)),bind(X_130,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)))]]) ).
cnf(refute_0_31,plain,
( ~ ca(X_131)
| ~ rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),X_131) ),
inference(resolve,[$cnf( rinvP(skolemFOFtoCNF_Z_1(i2003_11_14_17_19_28752),skolemFOFtoCNF_Y(i2003_11_14_17_19_28752)) )],[refute_0_12,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ ca(i2003_11_14_17_19_28752)
| ~ rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(subst,[],[refute_0_31:[bind(X_131,$fot(i2003_11_14_17_19_28752))]]) ).
cnf(refute_0_33,plain,
~ ca(i2003_11_14_17_19_28752),
inference(resolve,[$cnf( rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) )],[refute_0_6,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ cUnsatisfiable(X)
| ca(X) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_35,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ca(i2003_11_14_17_19_28752) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(i2003_11_14_17_19_28752))]]) ).
cnf(refute_0_36,plain,
ca(i2003_11_14_17_19_28752),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_28752) )],[refute_0_0,refute_0_35]) ).
cnf(refute_0_37,plain,
$false,
inference(resolve,[$cnf( ca(i2003_11_14_17_19_28752) )],[refute_0_36,refute_0_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS082+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 : n019.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 18:28:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.43
%------------------------------------------------------------------------------