TSTP Solution File: NUM613+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM613+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 : Wed May 31 12:29:56 EDT 2023
% Result : Theorem 0.14s 0.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 54 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 19 ~; 17 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,hypothesis,
( sbrdtbr0(xQ) = szszuzczcdt0(xk)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,conjecture,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(negated_conjecture,[status(cth)],[f110]) ).
fof(f194,plain,
! [W0,W1] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| szszuzczcdt0(W0) != szszuzczcdt0(W1)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f195,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f384,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f385,plain,
szszuzczcdt0(xk) = xK,
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f454,plain,
sbrdtbr0(xQ) = szszuzczcdt0(xk),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f455,plain,
szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f456,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f457,plain,
sbrdtbr0(xP) != xk,
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f517,plain,
sbrdtbr0(xQ) = xK,
inference(forward_demodulation,[status(thm)],[f385,f454]) ).
fof(f518,plain,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference(forward_demodulation,[status(thm)],[f517,f455]) ).
fof(f2509,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(xk) != szszuzczcdt0(X0)
| xk = X0 ),
inference(resolution,[status(thm)],[f195,f384]) ).
fof(f2510,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| xK != szszuzczcdt0(X0)
| xk = X0 ),
inference(forward_demodulation,[status(thm)],[f385,f2509]) ).
fof(f2514,plain,
( spl0_235
<=> xK = szszuzczcdt0(sbrdtbr0(xP)) ),
introduced(split_symbol_definition) ).
fof(f2516,plain,
( xK != szszuzczcdt0(sbrdtbr0(xP))
| spl0_235 ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( spl0_236
<=> xk = sbrdtbr0(xP) ),
introduced(split_symbol_definition) ).
fof(f2518,plain,
( xk = sbrdtbr0(xP)
| ~ spl0_236 ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( xK != szszuzczcdt0(sbrdtbr0(xP))
| xk = sbrdtbr0(xP) ),
inference(resolution,[status(thm)],[f2510,f456]) ).
fof(f2521,plain,
( ~ spl0_235
| spl0_236 ),
inference(split_clause,[status(thm)],[f2520,f2514,f2517]) ).
fof(f2554,plain,
( xK != xK
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f518,f2516]) ).
fof(f2555,plain,
( $false
| spl0_235 ),
inference(trivial_equality_resolution,[status(esa)],[f2554]) ).
fof(f2556,plain,
spl0_235,
inference(contradiction_clause,[status(thm)],[f2555]) ).
fof(f2557,plain,
( $false
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[status(thm)],[f2518,f457]) ).
fof(f2558,plain,
~ spl0_236,
inference(contradiction_clause,[status(thm)],[f2557]) ).
fof(f2559,plain,
$false,
inference(sat_refutation,[status(thm)],[f2521,f2556,f2558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM613+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n009.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 09:52:31 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.53 % Elapsed time: 0.198894 seconds
% 0.14/0.53 % CPU time: 1.150667 seconds
% 0.14/0.53 % Memory used: 76.567 MB
%------------------------------------------------------------------------------