TSTP Solution File: RNG095+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 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 20:37:58 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 67 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 23 ~; 21 |; 13 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 10 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
! [W0] :
( aElement0(W0)
=> ( ? [W1,W2] :
( aElementOf0(W1,xI)
& aElementOf0(W2,xJ)
& sdtpldt0(W1,W2) = W0 )
& aElementOf0(W0,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,conjecture,
? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = sz10 ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f37,plain,
aElement0(sz10),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f135,plain,
! [W0] :
( ~ aElement0(W0)
| ( ? [W1,W2] :
( aElementOf0(W1,xI)
& aElementOf0(W2,xJ)
& sdtpldt0(W1,W2) = W0 )
& aElementOf0(W0,sdtpldt1(xI,xJ)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f136,plain,
! [W0] :
( ~ aElement0(W0)
| ( aElementOf0(sk0_11(W0),xI)
& aElementOf0(sk0_12(W0),xJ)
& sdtpldt0(sk0_11(W0),sk0_12(W0)) = W0
& aElementOf0(W0,sdtpldt1(xI,xJ)) ) ),
inference(skolemization,[status(esa)],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sk0_11(X0),xI) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sk0_12(X0),xJ) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f139,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sk0_11(X0),sk0_12(X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f143,plain,
! [W0,W1] :
( ~ aElementOf0(W0,xI)
| ~ aElementOf0(W1,xJ)
| sdtpldt0(W0,W1) != sz10 ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f144,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtpldt0(X0,X1) != sz10 ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f204,plain,
( spl0_8
<=> aElement0(sz10) ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( ~ aElement0(sz10)
| spl0_8 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( spl0_9
<=> aElementOf0(sk0_11(sz10),xI) ),
introduced(split_symbol_definition) ).
fof(f209,plain,
( ~ aElementOf0(sk0_11(sz10),xI)
| spl0_9 ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( spl0_10
<=> aElementOf0(sk0_12(sz10),xJ) ),
introduced(split_symbol_definition) ).
fof(f212,plain,
( ~ aElementOf0(sk0_12(sz10),xJ)
| spl0_10 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( ~ aElement0(sz10)
| ~ aElementOf0(sk0_11(sz10),xI)
| ~ aElementOf0(sk0_12(sz10),xJ) ),
inference(resolution,[status(thm)],[f139,f144]) ).
fof(f214,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f213,f204,f207,f210]) ).
fof(f255,plain,
( ~ aElement0(sz10)
| spl0_10 ),
inference(resolution,[status(thm)],[f212,f138]) ).
fof(f256,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f37]) ).
fof(f257,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( ~ aElement0(sz10)
| spl0_9 ),
inference(resolution,[status(thm)],[f209,f137]) ).
fof(f259,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f37]) ).
fof(f260,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f37]) ).
fof(f262,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f263,plain,
$false,
inference(sat_refutation,[status(thm)],[f214,f257,f260,f262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n023.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 22:33:40 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36 % Elapsed time: 0.023451 seconds
% 0.10/0.36 % CPU time: 0.069163 seconds
% 0.10/0.36 % Total memory used: 18.971 MB
% 0.10/0.36 % Net memory used: 18.876 MB
%------------------------------------------------------------------------------