TSTP Solution File: RNG088+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:32:51 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 153 ( 6 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 126 ( 35 ~; 39 |; 36 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 20 (; 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,hypothesis,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [W0] :
( aElementOf0(W0,xJ)
=> ( ! [W1] :
( aElementOf0(W1,xJ)
=> aElementOf0(sdtpldt0(W0,W1),xJ) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,conjecture,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f116,plain,
( aSet0(xI)
& ! [W0] :
( ~ aElementOf0(W0,xI)
| ( ! [W1] :
( ~ aElementOf0(W1,xI)
| aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( ~ aElement0(W1)
| aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [W0] :
( ~ aElementOf0(W0,xJ)
| ( ! [W1] :
( ~ aElementOf0(W1,xJ)
| aElementOf0(sdtpldt0(W0,W1),xJ) )
& ! [W1] :
( ~ aElement0(W1)
| aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
& aIdeal0(xJ) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| aElementOf0(sdtpldt0(X0,X1),xI) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xJ)
| aElementOf0(sdtpldt0(X0,X1),xJ) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f125,plain,
( aElementOf0(sk0_11,xI)
& aElementOf0(sk0_12,xJ)
& sdtpldt0(sk0_11,sk0_12) = xx
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(sk0_13,xI)
& aElementOf0(sk0_14,xJ)
& sdtpldt0(sk0_13,sk0_14) = xy
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(skolemization,[status(esa)],[f26]) ).
fof(f126,plain,
aElementOf0(sk0_11,xI),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f127,plain,
aElementOf0(sk0_12,xJ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f130,plain,
aElementOf0(sk0_13,xI),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f131,plain,
aElementOf0(sk0_14,xJ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f135,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f136,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f138,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f139,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f141,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f142,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f152,plain,
( spl0_0
<=> aElementOf0(sdtpldt0(xk,xm),xI) ),
introduced(split_symbol_definition) ).
fof(f154,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| spl0_0 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( spl0_1
<=> aElementOf0(sdtpldt0(xl,xn),xJ) ),
introduced(split_symbol_definition) ).
fof(f157,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| spl0_1 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f142,f152,f155]) ).
fof(f189,plain,
( spl0_8
<=> aElementOf0(xm,xI) ),
introduced(split_symbol_definition) ).
fof(f191,plain,
( ~ aElementOf0(xm,xI)
| spl0_8 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f200,plain,
( spl0_11
<=> aElementOf0(xk,xI) ),
introduced(split_symbol_definition) ).
fof(f202,plain,
( ~ aElementOf0(xk,xI)
| spl0_11 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f211,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f135]) ).
fof(f212,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f138]) ).
fof(f214,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f213]) ).
fof(f218,plain,
( spl0_15
<=> aElementOf0(xn,xJ) ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( ~ aElementOf0(xn,xJ)
| spl0_15 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f229,plain,
( spl0_18
<=> aElementOf0(xl,xJ) ),
introduced(split_symbol_definition) ).
fof(f231,plain,
( ~ aElementOf0(xl,xJ)
| spl0_18 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f237,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f136]) ).
fof(f238,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f139]) ).
fof(f240,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f239]) ).
fof(f267,plain,
( spl0_26
<=> aElementOf0(sk0_12,xJ) ),
introduced(split_symbol_definition) ).
fof(f269,plain,
( ~ aElementOf0(sk0_12,xJ)
| spl0_26 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f272,plain,
( spl0_27
<=> aElementOf0(sk0_11,xI) ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( ~ aElementOf0(sk0_11,xI)
| spl0_27 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f282,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f126]) ).
fof(f283,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f127]) ).
fof(f285,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f284]) ).
fof(f300,plain,
( spl0_33
<=> aElementOf0(sk0_14,xJ) ),
introduced(split_symbol_definition) ).
fof(f302,plain,
( ~ aElementOf0(sk0_14,xJ)
| spl0_33 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f305,plain,
( spl0_34
<=> aElementOf0(sk0_13,xI) ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( ~ aElementOf0(sk0_13,xI)
| spl0_34 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f315,plain,
( $false
| spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f130]) ).
fof(f316,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( $false
| spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f131]) ).
fof(f318,plain,
spl0_33,
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( ~ aElementOf0(xk,xI)
| ~ aElementOf0(xm,xI)
| spl0_0 ),
inference(resolution,[status(thm)],[f154,f118]) ).
fof(f320,plain,
( ~ spl0_11
| ~ spl0_8
| spl0_0 ),
inference(split_clause,[status(thm)],[f319,f200,f189,f152]) ).
fof(f321,plain,
( ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xn,xJ)
| spl0_1 ),
inference(resolution,[status(thm)],[f157,f122]) ).
fof(f322,plain,
( ~ spl0_18
| ~ spl0_15
| spl0_1 ),
inference(split_clause,[status(thm)],[f321,f229,f218,f155]) ).
fof(f323,plain,
$false,
inference(sat_refutation,[status(thm)],[f158,f212,f214,f238,f240,f283,f285,f316,f318,f320,f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 : Tue May 30 10:54:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/0.66 % Elapsed time: 0.094797 seconds
% 0.30/0.66 % CPU time: 0.027994 seconds
% 0.30/0.66 % Memory used: 3.804 MB
%------------------------------------------------------------------------------