TSTP Solution File: RNG074+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:32:47 EDT 2023
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 107 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 35 ~; 37 |; 8 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,hypothesis,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f90,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtasdt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f130,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f175,plain,
aScalar0(xA),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f177,plain,
aScalar0(xB),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f183,plain,
aScalar0(xE),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f190,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f194,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f203,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f208,plain,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f258,plain,
( spl0_9
<=> aScalar0(xB) ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( ~ aScalar0(xB)
| spl0_9 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f266,plain,
( spl0_11
<=> aScalar0(xA) ),
introduced(split_symbol_definition) ).
fof(f268,plain,
( ~ aScalar0(xA)
| spl0_11 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f274,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f177,f260]) ).
fof(f275,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f274]) ).
fof(f276,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f268]) ).
fof(f277,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( spl0_13
<=> aScalar0(xH) ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( ~ aScalar0(xA)
| ~ aScalar0(xB)
| aScalar0(xH) ),
inference(paramodulation,[status(thm)],[f190,f91]) ).
fof(f282,plain,
( ~ spl0_11
| ~ spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f281,f266,f258,f278]) ).
fof(f293,plain,
( spl0_16
<=> aScalar0(xE) ),
introduced(split_symbol_definition) ).
fof(f295,plain,
( ~ aScalar0(xE)
| spl0_16 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( spl0_17
<=> aScalar0(xP) ),
introduced(split_symbol_definition) ).
fof(f299,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| aScalar0(xP) ),
inference(paramodulation,[status(thm)],[f194,f91]) ).
fof(f300,plain,
( ~ spl0_16
| ~ spl0_13
| spl0_17 ),
inference(split_clause,[status(thm)],[f299,f293,f278,f296]) ).
fof(f301,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f183]) ).
fof(f302,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f382,plain,
( spl0_31
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(paramodulation,[status(thm)],[f208,f89]) ).
fof(f386,plain,
( ~ spl0_17
| spl0_31 ),
inference(split_clause,[status(thm)],[f385,f296,f382]) ).
fof(f451,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),
inference(forward_demodulation,[status(thm)],[f208,f203]) ).
fof(f452,plain,
( spl0_44
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[f451,f131]) ).
fof(f456,plain,
( ~ spl0_31
| spl0_44 ),
inference(split_clause,[status(thm)],[f455,f382,f452]) ).
fof(f458,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f451]) ).
fof(f459,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f460,plain,
$false,
inference(sat_refutation,[status(thm)],[f275,f277,f282,f300,f302,f386,f456,f459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 10:34:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.59 % Elapsed time: 0.025913 seconds
% 0.19/0.59 % CPU time: 0.030923 seconds
% 0.19/0.59 % Memory used: 3.936 MB
%------------------------------------------------------------------------------