TSTP Solution File: COM021+4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM021+4 : 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 20:14:03 EDT 2024
% Result : Theorem 0.18s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 114 ( 13 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 110 ( 23 ~; 35 |; 49 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 11 ( 4 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,hypothesis,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xw,xR)
& sdtmndtplgtdt0(W0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [W0] : aReductOfIn0(W0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xb,xR)
& sdtmndtplgtdt0(W0,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xd,xR)
& sdtmndtplgtdt0(W0,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xb,xR)
& sdtmndtplgtdt0(W0,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xb,xR)
& sdtmndtplgtdt0(W0,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f220,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xw,xR)
& sdtmndtplgtdt0(W0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [W0] : ~ aReductOfIn0(W0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f221,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(sk0_25)
& aReductOfIn0(sk0_25,xw,xR)
& sdtmndtplgtdt0(sk0_25,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [W0] : ~ aReductOfIn0(W0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(skolemization,[status(esa)],[f220]) ).
fof(f228,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f230,plain,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ( aElement0(sk0_26)
& aReductOfIn0(sk0_26,xb,xR)
& sdtmndtplgtdt0(sk0_26,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ( aElement0(sk0_27)
& aReductOfIn0(sk0_27,xd,xR)
& sdtmndtplgtdt0(sk0_27,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(skolemization,[status(esa)],[f24]) ).
fof(f236,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f238,plain,
( xd = xx
| aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sk0_27,xd,xR) ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f242,plain,
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ! [W0] :
( ~ aElement0(W0)
| ~ aReductOfIn0(W0,xb,xR)
| ~ sdtmndtplgtdt0(W0,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f247,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f416,plain,
( spl0_44
<=> xd = xx ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( xd = xx
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_45
<=> aReductOfIn0(xx,xd,xR) ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( aReductOfIn0(xx,xd,xR)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f426,plain,
( spl0_47
<=> aReductOfIn0(sk0_27,xd,xR) ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( aReductOfIn0(sk0_27,xd,xR)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_44
| spl0_45
| spl0_47 ),
inference(split_clause,[status(thm)],[f238,f416,f419,f426]) ).
fof(f463,plain,
( sdtmndtasgtdt0(xb,xR,xd)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f417,f236]) ).
fof(f464,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f463,f247]) ).
fof(f465,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f228]) ).
fof(f467,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f228]) ).
fof(f469,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f470,plain,
$false,
inference(sat_refutation,[status(thm)],[f429,f465,f467,f469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:50:35 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.18/0.39 % Refutation found
% 0.18/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.40 % Elapsed time: 0.059882 seconds
% 0.18/0.40 % CPU time: 0.343481 seconds
% 0.18/0.40 % Total memory used: 60.089 MB
% 0.18/0.40 % Net memory used: 59.963 MB
%------------------------------------------------------------------------------