TSTP Solution File: RNG070+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:32:46 EDT 2023
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 89 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 32 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f84,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f126,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f126]) ).
fof(f193,plain,
aScalar0(xR),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f195,plain,
aScalar0(xP),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f197,plain,
aScalar0(xS),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f205,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f206,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f225,plain,
( spl0_4
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl0_4 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( spl0_5
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl0_5 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( spl0_6
<=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[f127,f206]) ).
fof(f235,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f234,f225,f228,f231]) ).
fof(f236,plain,
( spl0_7
<=> aScalar0(xR) ),
introduced(split_symbol_definition) ).
fof(f238,plain,
( ~ aScalar0(xR)
| spl0_7 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( spl0_8
<=> aScalar0(xS) ),
introduced(split_symbol_definition) ).
fof(f241,plain,
( ~ aScalar0(xS)
| spl0_8 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl0_5 ),
inference(resolution,[status(thm)],[f230,f85]) ).
fof(f243,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_5 ),
inference(split_clause,[status(thm)],[f242,f236,f239,f228]) ).
fof(f244,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f197]) ).
fof(f245,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f193]) ).
fof(f247,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( spl0_9
<=> aScalar0(xP) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( ~ aScalar0(xP)
| spl0_9 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl0_4 ),
inference(resolution,[status(thm)],[f227,f85]) ).
fof(f252,plain,
( ~ spl0_9
| spl0_4 ),
inference(split_clause,[status(thm)],[f251,f248,f225]) ).
fof(f253,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f195]) ).
fof(f254,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f232]) ).
fof(f256,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f255]) ).
fof(f257,plain,
$false,
inference(sat_refutation,[status(thm)],[f235,f243,f245,f247,f252,f254,f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:37:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.031789 seconds
% 0.12/0.37 % CPU time: 0.089202 seconds
% 0.12/0.37 % Memory used: 15.565 MB
%------------------------------------------------------------------------------