TSTP Solution File: COM016+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 : Fri Jul 15 01:32:32 EDT 2022
% Result : Theorem 14.84s 15.00s
% Output : CNFRefutation 14.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 74 ( 18 unt; 2 def)
% Number of atoms : 288 ( 9 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 387 ( 173 ~; 178 |; 28 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mTCDef,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W0,W1,W2)
<=> ( aReductOfIn0(W2,W0,W1)
| ? [W3] :
( aElement0(W3)
& aReductOfIn0(W3,W0,W1)
& sdtmndtplgtdt0(W3,W1,W2) ) ) ) ) ).
fof(mTCRDef,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) ) ) ) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ) ).
fof(m__731_02,hypothesis,
( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) ) ).
fof(m__,conjecture,
? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb) ) ).
fof(subgoal_0,plain,
? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [W0] :
( ~ aElement0(W0)
| ~ aReductOfIn0(W0,xa,xR)
| ~ sdtmndtasgtdt0(W0,xR,xb) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [W0] :
( ~ aElement0(W0)
| ~ aReductOfIn0(W0,xa,xR)
| ~ sdtmndtasgtdt0(W0,xR,xb) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ( ~ sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 != W2
& ~ sdtmndtplgtdt0(W0,W1,W2) ) ) ),
inference(canonicalize,[],[mTCRDef]) ).
fof(normalize_0_3,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ( ~ sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 != W2
& ~ sdtmndtplgtdt0(W0,W1,W2) ) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0,W1,W2] :
( ( W0 != W2
| ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| sdtmndtasgtdt0(W0,W1,W2) )
& ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| sdtmndtasgtdt0(W0,W1,W2) )
& ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| sdtmndtasgtdt0(W0,W1,W2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(canonicalize,[],[m__731_02]) ).
fof(normalize_0_7,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ( ~ sdtmndtplgtdt0(W0,W1,W2)
<=> ( ~ aReductOfIn0(W2,W0,W1)
& ! [W3] :
( ~ aElement0(W3)
| ~ aReductOfIn0(W3,W0,W1)
| ~ sdtmndtplgtdt0(W3,W1,W2) ) ) ) ),
inference(canonicalize,[],[mTCDef]) ).
fof(normalize_0_9,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ( ~ sdtmndtplgtdt0(W0,W1,W2)
<=> ( ~ aReductOfIn0(W2,W0,W1)
& ! [W3] :
( ~ aElement0(W3)
| ~ aReductOfIn0(W3,W0,W1)
| ~ sdtmndtplgtdt0(W3,W1,W2) ) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [W0,W1,W2,W3] :
( ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aReductOfIn0(W2,W0,W1)
| ~ aRewritingSystem0(W1)
| sdtmndtplgtdt0(W0,W1,W2) )
& ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aElement0(skolemFOFtoCNF_W3(W0,W1,W2))
| aReductOfIn0(W2,W0,W1) )
& ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aReductOfIn0(W2,W0,W1)
| aReductOfIn0(skolemFOFtoCNF_W3(W0,W1,W2),W0,W1) )
& ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aReductOfIn0(W2,W0,W1)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(W0,W1,W2),W1,W2) )
& ( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aElement0(W3)
| ~ aReductOfIn0(W3,W0,W1)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W3,W1,W2)
| sdtmndtplgtdt0(W0,W1,W2) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aReductOfIn0(W2,W0,W1)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(W0,W1,W2),W1,W2) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
inference(canonicalize,[],[m__731]) ).
fof(normalize_0_13,plain,
aElement0(xa),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
aElement0(xb),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_15,plain,
aRewritingSystem0(xR),
inference(canonicalize,[],[m__656]) ).
fof(normalize_0_16,plain,
! [W0,W1,W2] :
( W0 != W2
| ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| sdtmndtasgtdt0(W0,W1,W2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_17,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aElement0(skolemFOFtoCNF_W3(W0,W1,W2))
| aReductOfIn0(W2,W0,W1) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_18,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aReductOfIn0(W2,W0,W1)
| aReductOfIn0(skolemFOFtoCNF_W3(W0,W1,W2),W0,W1) ),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ aElement0(W0)
| ~ aReductOfIn0(W0,xa,xR)
| ~ sdtmndtasgtdt0(W0,xR,xb) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| ~ aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR)
| ~ sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(skolemFOFtoCNF_W3(xa,xR,xb)))]]) ).
cnf(refute_0_2,plain,
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| sdtmndtasgtdt0(W0,W1,W2) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb)
| sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(subst,[],[refute_0_2:[bind(W0,$fot(skolemFOFtoCNF_W3(xa,xR,xb))),bind(W1,$fot(xR)),bind(W2,$fot(xb))]]) ).
cnf(refute_0_4,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aReductOfIn0(W2,W0,W1)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(W0,W1,W2),W1,W2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_6,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(subst,[],[refute_0_5:[bind(W0,$fot(xa)),bind(W1,$fot(xR)),bind(W2,$fot(xb))]]) ).
cnf(refute_0_7,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( sdtmndtplgtdt0(xa,xR,xb) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
aElement0(xa),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_9,plain,
( ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( aElement0(xa) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
aElement0(xb),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ aRewritingSystem0(xR)
| aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( aElement0(xb) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
aRewritingSystem0(xR),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_13,plain,
( aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( aRewritingSystem0(xR) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
( ~ aElement0(xb)
| ~ aReductOfIn0(xb,xa,xR)
| ~ sdtmndtasgtdt0(xb,xR,xb) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(xb))]]) ).
cnf(refute_0_15,plain,
( W0 != W2
| ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| sdtmndtasgtdt0(W0,W1,W2) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_16,plain,
( W2 != W2
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| sdtmndtasgtdt0(W2,W1,W2) ),
inference(subst,[],[refute_0_15:[bind(W0,$fot(W2))]]) ).
cnf(refute_0_17,plain,
W2 = W2,
introduced(tautology,[refl,[$fot(W2)]]) ).
cnf(refute_0_18,plain,
( ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| sdtmndtasgtdt0(W2,W1,W2) ),
inference(resolve,[$cnf( $equal(W2,W2) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
( ~ aElement0(X_16)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(X_16,xR,X_16) ),
inference(subst,[],[refute_0_18:[bind(W1,$fot(xR)),bind(W2,$fot(X_16))]]) ).
cnf(refute_0_20,plain,
( ~ aElement0(X_16)
| sdtmndtasgtdt0(X_16,xR,X_16) ),
inference(resolve,[$cnf( aRewritingSystem0(xR) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ aElement0(xb)
| sdtmndtasgtdt0(xb,xR,xb) ),
inference(subst,[],[refute_0_20:[bind(X_16,$fot(xb))]]) ).
cnf(refute_0_22,plain,
sdtmndtasgtdt0(xb,xR,xb),
inference(resolve,[$cnf( aElement0(xb) )],[refute_0_10,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ aElement0(xb)
| ~ aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( sdtmndtasgtdt0(xb,xR,xb) )],[refute_0_22,refute_0_14]) ).
cnf(refute_0_24,plain,
~ aReductOfIn0(xb,xa,xR),
inference(resolve,[$cnf( aElement0(xb) )],[refute_0_10,refute_0_23]) ).
cnf(refute_0_25,plain,
sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb),
inference(resolve,[$cnf( aReductOfIn0(xb,xa,xR) )],[refute_0_13,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( sdtmndtplgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) )],[refute_0_25,refute_0_3]) ).
cnf(refute_0_27,plain,
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aElement0(skolemFOFtoCNF_W3(W0,W1,W2))
| aReductOfIn0(W2,W0,W1) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_28,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| aReductOfIn0(xb,xa,xR) ),
inference(subst,[],[refute_0_27:[bind(W0,$fot(xa)),bind(W1,$fot(xR)),bind(W2,$fot(xb))]]) ).
cnf(refute_0_29,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( sdtmndtplgtdt0(xa,xR,xb) )],[refute_0_4,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( aElement0(xa) )],[refute_0_8,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ aRewritingSystem0(xR)
| aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( aElement0(xb) )],[refute_0_10,refute_0_30]) ).
cnf(refute_0_32,plain,
( aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( aRewritingSystem0(xR) )],[refute_0_12,refute_0_31]) ).
cnf(refute_0_33,plain,
aElement0(skolemFOFtoCNF_W3(xa,xR,xb)),
inference(resolve,[$cnf( aReductOfIn0(xb,xa,xR) )],[refute_0_32,refute_0_24]) ).
cnf(refute_0_34,plain,
( ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( aElement0(skolemFOFtoCNF_W3(xa,xR,xb)) )],[refute_0_33,refute_0_26]) ).
cnf(refute_0_35,plain,
( ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) ),
inference(resolve,[$cnf( aElement0(xb) )],[refute_0_10,refute_0_34]) ).
cnf(refute_0_36,plain,
sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb),
inference(resolve,[$cnf( aRewritingSystem0(xR) )],[refute_0_12,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ aElement0(skolemFOFtoCNF_W3(xa,xR,xb))
| ~ aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR) ),
inference(resolve,[$cnf( sdtmndtasgtdt0(skolemFOFtoCNF_W3(xa,xR,xb),xR,xb) )],[refute_0_36,refute_0_1]) ).
cnf(refute_0_38,plain,
~ aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR),
inference(resolve,[$cnf( aElement0(skolemFOFtoCNF_W3(xa,xR,xb)) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ aElement0(W0)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| aReductOfIn0(W2,W0,W1)
| aReductOfIn0(skolemFOFtoCNF_W3(W0,W1,W2),W0,W1) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_40,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(subst,[],[refute_0_39:[bind(W0,$fot(xa)),bind(W1,$fot(xR)),bind(W2,$fot(xb))]]) ).
cnf(refute_0_41,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( sdtmndtplgtdt0(xa,xR,xb) )],[refute_0_4,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( aElement0(xa) )],[refute_0_8,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ aRewritingSystem0(xR)
| aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( aElement0(xb) )],[refute_0_10,refute_0_42]) ).
cnf(refute_0_44,plain,
( aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(resolve,[$cnf( aRewritingSystem0(xR) )],[refute_0_12,refute_0_43]) ).
cnf(refute_0_45,plain,
aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR),
inference(resolve,[$cnf( aReductOfIn0(xb,xa,xR) )],[refute_0_44,refute_0_24]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( aReductOfIn0(skolemFOFtoCNF_W3(xa,xR,xb),xa,xR) )],[refute_0_45,refute_0_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 19:11:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 14.84/15.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.84/15.00
% 14.84/15.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.84/15.00
%------------------------------------------------------------------------------