TSTP Solution File: NUM835+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:35:52 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 69 ( 46 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 27 ~; 30 |; 11 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 33 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [Vd180] : vd165 = vplus(vd151,Vd180)
| ? [Vd170] : vd151 = vplus(vd165,Vd170)
| vd151 = vd165 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ? [Vd180] : vd165 = vplus(vd151,Vd180)
| ? [Vd170] : vd151 = vplus(vd165,Vd170)
| vd151 = vd165 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f18,axiom,
! [Vd151,Vd152] :
( m(Vd152)
<=> ( Vd151 = Vd152
| ? [Vd155] : Vd151 = vplus(Vd152,Vd155)
| ? [Vd157] : Vd152 = vplus(Vd151,Vd157) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
( ! [Vd180] : vd165 != vplus(vd151,Vd180)
& ! [Vd170] : vd151 != vplus(vd165,Vd170)
& vd151 != vd165 ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f27,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f29,plain,
vd151 != vd165,
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f61,plain,
! [Vd151,Vd152] :
( ( ~ m(Vd152)
| Vd151 = Vd152
| ? [Vd155] : Vd151 = vplus(Vd152,Vd155)
| ? [Vd157] : Vd152 = vplus(Vd151,Vd157) )
& ( m(Vd152)
| ( Vd151 != Vd152
& ! [Vd155] : Vd151 != vplus(Vd152,Vd155)
& ! [Vd157] : Vd152 != vplus(Vd151,Vd157) ) ) ),
inference(NNF_transformation,[status(esa)],[f18]) ).
fof(f62,plain,
( ! [Vd152] :
( ~ m(Vd152)
| ! [Vd151] :
( Vd151 = Vd152
| ? [Vd155] : Vd151 = vplus(Vd152,Vd155)
| ? [Vd157] : Vd152 = vplus(Vd151,Vd157) ) )
& ! [Vd152] :
( m(Vd152)
| ( ! [Vd151] : Vd151 != Vd152
& ! [Vd151,Vd155] : Vd151 != vplus(Vd152,Vd155)
& ! [Vd151,Vd157] : Vd152 != vplus(Vd151,Vd157) ) ) ),
inference(miniscoping,[status(esa)],[f61]) ).
fof(f63,plain,
( ! [Vd152] :
( ~ m(Vd152)
| ! [Vd151] :
( Vd151 = Vd152
| Vd151 = vplus(Vd152,sk0_0(Vd151,Vd152))
| Vd152 = vplus(Vd151,sk0_1(Vd151,Vd152)) ) )
& ! [Vd152] :
( m(Vd152)
| ( ! [Vd151] : Vd151 != Vd152
& ! [Vd151,Vd155] : Vd151 != vplus(Vd152,Vd155)
& ! [Vd151,Vd157] : Vd152 != vplus(Vd151,Vd157) ) ) ),
inference(skolemization,[status(esa)],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ~ m(X0)
| X1 = X0
| X1 = vplus(X0,sk0_0(X1,X0))
| X0 = vplus(X1,sk0_1(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( m(X0)
| X1 != X0 ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f117,plain,
( spl0_10
<=> vd151 = vd165 ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( vd151 = vd165
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f126,plain,
! [X0] : m(X0),
inference(destructive_equality_resolution,[status(esa)],[f65]) ).
fof(f811,plain,
! [X0,X1] :
( X0 = X1
| X0 = vplus(X1,sk0_0(X0,X1))
| X1 = vplus(X0,sk0_1(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f126]) ).
fof(f828,plain,
( spl0_16
<=> vd151 = vplus(vd165,sk0_0(vd151,vd165)) ),
introduced(split_symbol_definition) ).
fof(f829,plain,
( vd151 = vplus(vd165,sk0_0(vd151,vd165))
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( vd151 = vd165
| vd151 = vplus(vd165,sk0_0(vd151,vd165)) ),
inference(resolution,[status(thm)],[f811,f27]) ).
fof(f832,plain,
( spl0_10
| spl0_16 ),
inference(split_clause,[status(thm)],[f831,f117,f828]) ).
fof(f901,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f829,f28]) ).
fof(f902,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f29]) ).
fof(f904,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f905,plain,
$false,
inference(sat_refutation,[status(thm)],[f832,f902,f904]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:40:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44 % Elapsed time: 0.090438 seconds
% 0.20/0.44 % CPU time: 0.571842 seconds
% 0.20/0.44 % Total memory used: 63.434 MB
% 0.20/0.44 % Net memory used: 63.252 MB
%------------------------------------------------------------------------------