TSTP Solution File: SWV383+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV383+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Wed May 31 12:41:32 EDT 2023
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 20 |; 7 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 36 (; 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,lemma,
! [U,V,W] :
( ( ~ check_cpq(triple(U,V,W))
| ~ ok(triple(U,V,W)) )
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f145,plain,
! [U,V,W] :
( ( check_cpq(triple(U,V,W))
& ok(triple(U,V,W)) )
| ! [X,Y,Z] :
( ~ succ_cpq(triple(U,V,W),triple(X,Y,Z))
| ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f148,plain,
? [U,V,W] :
( ~ check_cpq(triple(U,V,W))
& ? [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
& ok(triple(X,Y,Z))
& check_cpq(triple(X,Y,Z)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f149,plain,
( ~ check_cpq(triple(sk0_0,sk0_1,sk0_2))
& succ_cpq(triple(sk0_0,sk0_1,sk0_2),triple(sk0_3,sk0_4,sk0_5))
& ok(triple(sk0_3,sk0_4,sk0_5))
& check_cpq(triple(sk0_3,sk0_4,sk0_5)) ),
inference(skolemization,[status(esa)],[f148]) ).
fof(f150,plain,
~ check_cpq(triple(sk0_0,sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f151,plain,
succ_cpq(triple(sk0_0,sk0_1,sk0_2),triple(sk0_3,sk0_4,sk0_5)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f152,plain,
ok(triple(sk0_3,sk0_4,sk0_5)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f153,plain,
check_cpq(triple(sk0_3,sk0_4,sk0_5)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f165,plain,
( spl0_2
<=> check_cpq(triple(sk0_0,sk0_1,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( check_cpq(triple(sk0_0,sk0_1,sk0_2))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( spl0_3
<=> ok(triple(sk0_3,sk0_4,sk0_5)) ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( ~ ok(triple(sk0_3,sk0_4,sk0_5))
| spl0_3 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( spl0_4
<=> check_cpq(triple(sk0_3,sk0_4,sk0_5)) ),
introduced(split_symbol_definition) ).
fof(f173,plain,
( ~ check_cpq(triple(sk0_3,sk0_4,sk0_5))
| spl0_4 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( check_cpq(triple(sk0_0,sk0_1,sk0_2))
| ~ ok(triple(sk0_3,sk0_4,sk0_5))
| ~ check_cpq(triple(sk0_3,sk0_4,sk0_5)) ),
inference(resolution,[status(thm)],[f146,f151]) ).
fof(f175,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f174,f165,f168,f171]) ).
fof(f176,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f153]) ).
fof(f177,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f152]) ).
fof(f179,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f150]) ).
fof(f181,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
$false,
inference(sat_refutation,[status(thm)],[f175,f177,f179,f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:44:03 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32 % Elapsed time: 0.014142 seconds
% 0.14/0.32 % CPU time: 0.019311 seconds
% 0.14/0.32 % Memory used: 14.724 MB
%------------------------------------------------------------------------------