TSTP Solution File: SWC359+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC359+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : 300s
% DateTime : Tue Apr 30 20:45:29 EDT 2024
% Result : Theorem 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 67 ( 10 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 80 ( 24 ~; 20 |; 28 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ neq(V,nil)
| ~ segmentP(X,W)
| ~ equalelemsP(W)
| ? [Y] :
( ssList(Y)
& neq(W,Y)
& segmentP(X,Y)
& segmentP(Y,W)
& equalelemsP(Y) )
| segmentP(V,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ~ neq(V,nil)
| ~ segmentP(X,W)
| ~ equalelemsP(W)
| ? [Y] :
( ssList(Y)
& neq(W,Y)
& segmentP(X,Y)
& segmentP(Y,W)
& equalelemsP(Y) )
| segmentP(V,U) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f415,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& neq(V,nil)
& segmentP(X,W)
& equalelemsP(W)
& ! [Y] :
( ~ ssList(Y)
| ~ neq(W,Y)
| ~ segmentP(X,Y)
| ~ segmentP(Y,W)
| ~ equalelemsP(Y) )
& ~ segmentP(V,U) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f416,plain,
( ssList(sk0_47)
& ssList(sk0_48)
& ssList(sk0_49)
& ssList(sk0_50)
& sk0_48 = sk0_50
& sk0_47 = sk0_49
& neq(sk0_48,nil)
& segmentP(sk0_50,sk0_49)
& equalelemsP(sk0_49)
& ! [Y] :
( ~ ssList(Y)
| ~ neq(sk0_49,Y)
| ~ segmentP(sk0_50,Y)
| ~ segmentP(Y,sk0_49)
| ~ equalelemsP(Y) )
& ~ segmentP(sk0_48,sk0_47) ),
inference(skolemization,[status(esa)],[f415]) ).
fof(f421,plain,
sk0_48 = sk0_50,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f422,plain,
sk0_47 = sk0_49,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f424,plain,
segmentP(sk0_50,sk0_49),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f427,plain,
~ segmentP(sk0_48,sk0_47),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f461,plain,
segmentP(sk0_48,sk0_49),
inference(forward_demodulation,[status(thm)],[f421,f424]) ).
fof(f462,plain,
segmentP(sk0_48,sk0_47),
inference(forward_demodulation,[status(thm)],[f422,f461]) ).
fof(f463,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f427,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWC359+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n023.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 00:27:40 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28 % Elapsed time: 0.016117 seconds
% 0.07/0.28 % CPU time: 0.024229 seconds
% 0.07/0.28 % Total memory used: 14.506 MB
% 0.07/0.28 % Net memory used: 14.471 MB
%------------------------------------------------------------------------------