TSTP Solution File: RNG067+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:37:52 EDT 2024
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 24
% Syntax : Number of formulae : 82 ( 17 unt; 0 def)
% Number of atoms : 198 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 203 ( 87 ~; 88 |; 10 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 15 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/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(f23,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W2,W3) )
=> sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f82,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f84,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtasdt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f120,plain,
! [W0,W1,W2,W3] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| ~ aScalar0(W2)
| ~ aScalar0(W3)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(W2,W3)
| sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f185,plain,
aScalar0(xR),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f187,plain,
aScalar0(xP),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f189,plain,
aScalar0(xS),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f192,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f194,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f195,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f196,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f218,plain,
( spl0_4
<=> aScalar0(xR) ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( ~ aScalar0(xR)
| spl0_4 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_5
<=> aScalar0(xS) ),
introduced(split_symbol_definition) ).
fof(f223,plain,
( ~ aScalar0(xS)
| spl0_5 ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( spl0_6
<=> aScalar0(xN) ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(xN) ),
inference(paramodulation,[status(thm)],[f192,f85]) ).
fof(f228,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f227,f218,f221,f224]) ).
fof(f229,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f189]) ).
fof(f230,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f185]) ).
fof(f232,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f231]) ).
fof(f244,plain,
( spl0_10
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl0_10 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f299,plain,
( spl0_17
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(split_symbol_definition) ).
fof(f301,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl0_17 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_18
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl0_18 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f323,plain,
( spl0_23
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP))) ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| spl0_23 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( spl0_24
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| spl0_24 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( spl0_25
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| spl0_25 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( spl0_26
<=> sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| spl0_26 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
inference(resolution,[status(thm)],[f121,f196]) ).
fof(f336,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_10
| ~ spl0_6
| ~ spl0_25
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f335,f323,f326,f244,f224,f329,f332]) ).
fof(f343,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f194]) ).
fof(f344,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(xN)
| spl0_24 ),
inference(resolution,[status(thm)],[f328,f83]) ).
fof(f346,plain,
( ~ spl0_18
| ~ spl0_6
| spl0_24 ),
inference(split_clause,[status(thm)],[f345,f302,f224,f326]) ).
fof(f347,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl0_23 ),
inference(resolution,[status(thm)],[f325,f83]) ).
fof(f348,plain,
( ~ spl0_17
| ~ spl0_10
| spl0_23 ),
inference(split_clause,[status(thm)],[f347,f299,f244,f323]) ).
fof(f353,plain,
( spl0_27
<=> sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl0_27 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| spl0_25 ),
inference(resolution,[status(thm)],[f331,f121]) ).
fof(f357,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_10
| ~ spl0_6
| ~ spl0_27
| ~ spl0_26
| spl0_25 ),
inference(split_clause,[status(thm)],[f356,f299,f302,f244,f224,f353,f332,f329]) ).
fof(f370,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f195]) ).
fof(f371,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( spl0_30
<=> aScalar0(xP) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( ~ aScalar0(xP)
| spl0_30 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl0_10 ),
inference(resolution,[status(thm)],[f246,f85]) ).
fof(f376,plain,
( ~ spl0_30
| spl0_10 ),
inference(split_clause,[status(thm)],[f375,f372,f244]) ).
fof(f377,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f187]) ).
fof(f378,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f377]) ).
fof(f449,plain,
( spl0_39
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| spl0_39 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( spl0_40
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| spl0_40 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl0_18 ),
inference(resolution,[status(thm)],[f304,f83]) ).
fof(f456,plain,
( ~ spl0_39
| ~ spl0_40
| spl0_18 ),
inference(split_clause,[status(thm)],[f455,f449,f452,f302]) ).
fof(f457,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl0_39 ),
inference(resolution,[status(thm)],[f451,f85]) ).
fof(f458,plain,
( ~ spl0_4
| spl0_39 ),
inference(split_clause,[status(thm)],[f457,f218,f449]) ).
fof(f459,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| spl0_40 ),
inference(resolution,[status(thm)],[f454,f85]) ).
fof(f460,plain,
( ~ spl0_5
| spl0_40 ),
inference(split_clause,[status(thm)],[f459,f221,f452]) ).
fof(f461,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl0_17 ),
inference(resolution,[status(thm)],[f301,f83]) ).
fof(f462,plain,
( ~ spl0_10
| spl0_17 ),
inference(split_clause,[status(thm)],[f461,f244,f299]) ).
fof(f463,plain,
$false,
inference(sat_refutation,[status(thm)],[f228,f230,f232,f336,f344,f346,f348,f357,f371,f376,f378,f456,f458,f460,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 22:15:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.47 % Elapsed time: 0.122577 seconds
% 0.19/0.47 % CPU time: 0.846688 seconds
% 0.19/0.47 % Total memory used: 72.464 MB
% 0.19/0.47 % Net memory used: 71.800 MB
%------------------------------------------------------------------------------