TSTP Solution File: RNG073+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:37:53 EDT 2024
% Result : Theorem 3.85s 0.89s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 23
% Syntax : Number of formulae : 79 ( 20 unt; 0 def)
% Number of atoms : 182 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 174 ( 71 ~; 74 |; 11 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtlseqdt0(sz0z00,W0)
& sdtlseqdt0(sz0z00,W1)
& sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
=> W0 = W1 ) ),
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(f59,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,hypothesis,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,conjecture,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f87,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f87]) ).
fof(f89,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtasdt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f121,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(W1,W0)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f136,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| ~ sdtlseqdt0(sz0z00,W0)
| ~ sdtlseqdt0(sz0z00,W1)
| sdtasdt0(W0,W0) != sdtasdt0(W1,W1)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f190,plain,
aScalar0(xR),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f192,plain,
aScalar0(xP),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f194,plain,
aScalar0(xS),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f201,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f204,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f205,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f206,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f207,plain,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f239,plain,
( spl0_7
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f241,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl0_7 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( spl0_8
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f244,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl0_8 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f250,plain,
( spl0_10
<=> aScalar0(xP) ),
introduced(split_symbol_definition) ).
fof(f252,plain,
( ~ aScalar0(xP)
| spl0_10 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl0_8 ),
inference(resolution,[status(thm)],[f244,f88]) ).
fof(f254,plain,
( ~ spl0_10
| spl0_8 ),
inference(split_clause,[status(thm)],[f253,f250,f242]) ).
fof(f255,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f252,f192]) ).
fof(f256,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( spl0_11
<=> aScalar0(xR) ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( ~ aScalar0(xR)
| spl0_11 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_12
<=> aScalar0(xS) ),
introduced(split_symbol_definition) ).
fof(f262,plain,
( ~ aScalar0(xS)
| spl0_12 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl0_7 ),
inference(resolution,[status(thm)],[f241,f88]) ).
fof(f264,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_7 ),
inference(split_clause,[status(thm)],[f263,f257,f260,f239]) ).
fof(f265,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f194]) ).
fof(f266,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f190]) ).
fof(f268,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( spl0_13
<=> aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| spl0_13 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( spl0_14
<=> aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| spl0_14 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( spl0_15
<=> sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| spl0_15 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( spl0_16
<=> sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f279,plain,
( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[f122,f206]) ).
fof(f282,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f281,f269,f272,f275,f278]) ).
fof(f305,plain,
( spl0_23
<=> sdtpldt0(xP,xP) = sdtpldt0(xR,xS) ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f341,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f201]) ).
fof(f342,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f341]) ).
fof(f347,plain,
( spl0_31
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl0_31 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f352,plain,
( spl0_32
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f354,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl0_32 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f375,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f207]) ).
fof(f376,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f375]) ).
fof(f1143,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| spl0_14 ),
inference(resolution,[status(thm)],[f274,f90]) ).
fof(f1144,plain,
( ~ spl0_7
| spl0_14 ),
inference(split_clause,[status(thm)],[f1143,f239,f272]) ).
fof(f1409,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| spl0_13 ),
inference(resolution,[status(thm)],[f271,f90]) ).
fof(f1410,plain,
( ~ spl0_8
| spl0_13 ),
inference(split_clause,[status(thm)],[f1409,f242,f269]) ).
fof(f5966,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f279,f137]) ).
fof(f5967,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_32
| ~ spl0_31
| spl0_23
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f5966,f242,f239,f352,f347,f305,f278]) ).
fof(f6091,plain,
( $false
| spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f204]) ).
fof(f6092,plain,
spl0_31,
inference(contradiction_clause,[status(thm)],[f6091]) ).
fof(f6096,plain,
( $false
| spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f205]) ).
fof(f6097,plain,
spl0_32,
inference(contradiction_clause,[status(thm)],[f6096]) ).
fof(f6098,plain,
$false,
inference(sat_refutation,[status(thm)],[f254,f256,f264,f266,f268,f282,f342,f376,f1144,f1410,f5967,f6092,f6097]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:38:34 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 3.85/0.89 % Refutation found
% 3.85/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.85/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.42/0.91 % Elapsed time: 0.582761 seconds
% 4.42/0.91 % CPU time: 4.441043 seconds
% 4.42/0.91 % Total memory used: 124.293 MB
% 4.42/0.91 % Net memory used: 120.506 MB
%------------------------------------------------------------------------------