TSTP Solution File: RNG073+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 5.58s 1.08s
% Output : CNFRefutation 5.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 27
% Syntax : Number of formulae : 90 ( 23 unt; 0 def)
% Number of atoms : 203 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 189 ( 76 ~; 80 |; 13 &)
% ( 14 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 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(f48,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
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(f188,plain,
aScalar0(xE),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f194,plain,
aScalar0(xH),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f196,plain,
aScalar0(xR),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f199,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f200,plain,
aScalar0(xS),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f207,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f210,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f211,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f212,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f213,plain,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f1199,plain,
( spl0_172
<=> aScalar0(xE) ),
introduced(split_symbol_definition) ).
fof(f1201,plain,
( ~ aScalar0(xE)
| spl0_172 ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,plain,
( spl0_173
<=> aScalar0(xH) ),
introduced(split_symbol_definition) ).
fof(f1204,plain,
( ~ aScalar0(xH)
| spl0_173 ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1285,plain,
( $false
| spl0_173 ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f194]) ).
fof(f1286,plain,
spl0_173,
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( $false
| spl0_172 ),
inference(forward_subsumption_resolution,[status(thm)],[f1201,f188]) ).
fof(f1288,plain,
spl0_172,
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1374,plain,
( spl0_207
<=> aScalar0(xR) ),
introduced(split_symbol_definition) ).
fof(f1376,plain,
( ~ aScalar0(xR)
| spl0_207 ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1377,plain,
( spl0_208
<=> aScalar0(xS) ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( ~ aScalar0(xS)
| spl0_208 ),
inference(component_clause,[status(thm)],[f1377]) ).
fof(f1460,plain,
( $false
| spl0_208 ),
inference(forward_subsumption_resolution,[status(thm)],[f1379,f200]) ).
fof(f1461,plain,
spl0_208,
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( $false
| spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f196]) ).
fof(f1463,plain,
spl0_207,
inference(contradiction_clause,[status(thm)],[f1462]) ).
fof(f1560,plain,
( spl0_237
<=> aScalar0(xP) ),
introduced(split_symbol_definition) ).
fof(f1563,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| aScalar0(xP) ),
inference(paramodulation,[status(thm)],[f199,f90]) ).
fof(f1564,plain,
( ~ spl0_172
| ~ spl0_173
| spl0_237 ),
inference(split_clause,[status(thm)],[f1563,f1199,f1202,f1560]) ).
fof(f2111,plain,
( spl0_338
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f2113,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl0_338 ),
inference(component_clause,[status(thm)],[f2111]) ).
fof(f2114,plain,
( spl0_339
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f2116,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl0_339 ),
inference(component_clause,[status(thm)],[f2114]) ).
fof(f2117,plain,
( spl0_340
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f2119,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl0_340 ),
inference(component_clause,[status(thm)],[f2117]) ).
fof(f2120,plain,
( spl0_341
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f2122,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl0_341 ),
inference(component_clause,[status(thm)],[f2120]) ).
fof(f2123,plain,
( spl0_342
<=> sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) = sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f2125,plain,
( sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
| spl0_342 ),
inference(component_clause,[status(thm)],[f2123]) ).
fof(f2126,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) ),
inference(resolution,[status(thm)],[f137,f213]) ).
fof(f2127,plain,
( ~ spl0_338
| ~ spl0_339
| ~ spl0_340
| ~ spl0_341
| ~ spl0_342 ),
inference(split_clause,[status(thm)],[f2126,f2111,f2114,f2117,f2120,f2123]) ).
fof(f2148,plain,
( $false
| spl0_341 ),
inference(forward_subsumption_resolution,[status(thm)],[f2122,f211]) ).
fof(f2149,plain,
spl0_341,
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2150,plain,
( $false
| spl0_340 ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f210]) ).
fof(f2151,plain,
spl0_340,
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2152,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl0_339 ),
inference(resolution,[status(thm)],[f2116,f88]) ).
fof(f2153,plain,
( ~ spl0_237
| spl0_339 ),
inference(split_clause,[status(thm)],[f2152,f1560,f2114]) ).
fof(f2154,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl0_338 ),
inference(resolution,[status(thm)],[f2113,f88]) ).
fof(f2155,plain,
( ~ spl0_207
| ~ spl0_208
| spl0_338 ),
inference(split_clause,[status(thm)],[f2154,f1374,f1377,f2111]) ).
fof(f2220,plain,
( spl0_359
<=> aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
introduced(split_symbol_definition) ).
fof(f2222,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| spl0_359 ),
inference(component_clause,[status(thm)],[f2220]) ).
fof(f2223,plain,
( spl0_360
<=> aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
introduced(split_symbol_definition) ).
fof(f2225,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| spl0_360 ),
inference(component_clause,[status(thm)],[f2223]) ).
fof(f2284,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| spl0_360 ),
inference(resolution,[status(thm)],[f2225,f90]) ).
fof(f2285,plain,
( ~ spl0_339
| spl0_360 ),
inference(split_clause,[status(thm)],[f2284,f2114,f2223]) ).
fof(f2286,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| spl0_359 ),
inference(resolution,[status(thm)],[f2222,f90]) ).
fof(f2287,plain,
( ~ spl0_338
| spl0_359 ),
inference(split_clause,[status(thm)],[f2286,f2111,f2220]) ).
fof(f4125,plain,
( spl0_643
<=> sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
introduced(split_symbol_definition) ).
fof(f4127,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| spl0_643 ),
inference(component_clause,[status(thm)],[f4125]) ).
fof(f4128,plain,
( spl0_644
<=> sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
introduced(split_symbol_definition) ).
fof(f4130,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| spl0_644 ),
inference(component_clause,[status(thm)],[f4128]) ).
fof(f4131,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| spl0_342 ),
inference(resolution,[status(thm)],[f122,f2125]) ).
fof(f4132,plain,
( ~ spl0_359
| ~ spl0_360
| ~ spl0_643
| ~ spl0_644
| spl0_342 ),
inference(split_clause,[status(thm)],[f4131,f2220,f2223,f4125,f4128,f2123]) ).
fof(f4364,plain,
( $false
| spl0_643 ),
inference(forward_subsumption_resolution,[status(thm)],[f4127,f212]) ).
fof(f4365,plain,
spl0_643,
inference(contradiction_clause,[status(thm)],[f4364]) ).
fof(f4366,plain,
( $false
| spl0_644 ),
inference(forward_subsumption_resolution,[status(thm)],[f4130,f207]) ).
fof(f4367,plain,
spl0_644,
inference(contradiction_clause,[status(thm)],[f4366]) ).
fof(f4368,plain,
$false,
inference(sat_refutation,[status(thm)],[f1286,f1288,f1461,f1463,f1564,f2127,f2149,f2151,f2153,f2155,f2285,f2287,f4132,f4365,f4367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:07:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 5.58/1.08 % Refutation found
% 5.58/1.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.58/1.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.58/1.10 % Elapsed time: 0.752275 seconds
% 5.58/1.10 % CPU time: 5.844691 seconds
% 5.58/1.10 % Total memory used: 140.889 MB
% 5.58/1.10 % Net memory used: 136.231 MB
%------------------------------------------------------------------------------