TSTP Solution File: COM018+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 01:32:33 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 24 ~; 19 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mTermNF,axiom,
! [W0] :
( ( aRewritingSystem0(W0)
& isTerminating0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR) ).
fof(m__656_01,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ) ).
fof(m__799,hypothesis,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ) ).
fof(m__,conjecture,
? [W0] : aNormalFormOfIn0(W0,xw,xR) ).
fof(subgoal_0,plain,
? [W0] : aNormalFormOfIn0(W0,xw,xR),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] : aNormalFormOfIn0(W0,xw,xR),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(canonicalize,[],[m__799]) ).
fof(normalize_0_1,plain,
aElement0(xw),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(canonicalize,[],[m__656_01]) ).
fof(normalize_0_3,plain,
isTerminating0(xR),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0] :
( ~ aRewritingSystem0(W0)
| ~ isTerminating0(W0)
| ! [W1] :
( ~ aElement0(W1)
| ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ),
inference(canonicalize,[],[mTermNF]) ).
fof(normalize_0_5,plain,
! [W0] :
( ~ aRewritingSystem0(W0)
| ~ isTerminating0(W0)
| ! [W1] :
( ~ aElement0(W1)
| ? [W2] : aNormalFormOfIn0(W2,W1,W0) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [W0,W1] :
( ~ aElement0(W1)
| ~ aRewritingSystem0(W0)
| ~ isTerminating0(W0)
| aNormalFormOfIn0(skolemFOFtoCNF_W2_3(W0,W1),W1,W0) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
aRewritingSystem0(xR),
inference(canonicalize,[],[m__656]) ).
fof(normalize_0_8,plain,
! [W0] : ~ aNormalFormOfIn0(W0,xw,xR),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
! [W0] : ~ aNormalFormOfIn0(W0,xw,xR),
inference(specialize,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
aElement0(xw),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
isTerminating0(xR),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ aElement0(W1)
| ~ aRewritingSystem0(W0)
| ~ isTerminating0(W0)
| aNormalFormOfIn0(skolemFOFtoCNF_W2_3(W0,W1),W1,W0) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ aElement0(X_22)
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(xR)
| aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,X_22),X_22,xR) ),
inference(subst,[],[refute_0_2:[bind(W0,$fot(xR)),bind(W1,$fot(X_22))]]) ).
cnf(refute_0_4,plain,
( ~ aElement0(X_22)
| ~ aRewritingSystem0(xR)
| aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,X_22),X_22,xR) ),
inference(resolve,[$cnf( isTerminating0(xR) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
aRewritingSystem0(xR),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ aElement0(X_22)
| aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,X_22),X_22,xR) ),
inference(resolve,[$cnf( aRewritingSystem0(xR) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
( ~ aElement0(xw)
| aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,xw),xw,xR) ),
inference(subst,[],[refute_0_6:[bind(X_22,$fot(xw))]]) ).
cnf(refute_0_8,plain,
aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,xw),xw,xR),
inference(resolve,[$cnf( aElement0(xw) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
~ aNormalFormOfIn0(W0,xw,xR),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_10,plain,
~ aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,xw),xw,xR),
inference(subst,[],[refute_0_9:[bind(W0,$fot(skolemFOFtoCNF_W2_3(xR,xw)))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( aNormalFormOfIn0(skolemFOFtoCNF_W2_3(xR,xw),xw,xR) )],[refute_0_8,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n025.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 : Thu Jun 16 18:15:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37
%------------------------------------------------------------------------------