TSTP Solution File: CSR099+5 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR099+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:15:08 EDT 2024
% Result : Theorem 36.86s 5.58s
% Output : CNFRefutation 38.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 64 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 59 ( 25 ~; 24 |; 4 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [V__X,V__Y] :
( s__subclass(V__X,V__Y)
=> ( s__instance(V__X,s__SetOrClass)
& s__instance(V__Y,s__SetOrClass) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1440,axiom,
! [V__INST1,V__INST2] :
( ( s__instance(V__INST2,s__SetOrClass)
& s__instance(V__INST1,s__SetOrClass) )
=> ( ( s__subclass(V__INST1,V__INST2)
& s__subclass(V__INST2,V__INST1) )
=> V__INST1 = V__INST2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16750,axiom,
s__subclass(s__Class30_1,s__Reptile),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16751,axiom,
s__subclass(s__Reptile,s__Class30_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16752,conjecture,
s__Class30_1 = s__Reptile,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16753,negated_conjecture,
s__Class30_1 != s__Reptile,
inference(negated_conjecture,[status(cth)],[f16752]) ).
fof(f16793,plain,
! [V__X,V__Y] :
( ~ s__subclass(V__X,V__Y)
| ( s__instance(V__X,s__SetOrClass)
& s__instance(V__Y,s__SetOrClass) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f16795,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[status(esa)],[f16793]) ).
fof(f19531,plain,
! [V__INST1,V__INST2] :
( ~ s__instance(V__INST2,s__SetOrClass)
| ~ s__instance(V__INST1,s__SetOrClass)
| ~ s__subclass(V__INST1,V__INST2)
| ~ s__subclass(V__INST2,V__INST1)
| V__INST1 = V__INST2 ),
inference(pre_NNF_transformation,[status(esa)],[f1440]) ).
fof(f19532,plain,
! [X0,X1] :
( ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__subclass(X1,X0)
| ~ s__subclass(X0,X1)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f19531]) ).
fof(f44207,plain,
s__subclass(s__Class30_1,s__Reptile),
inference(cnf_transformation,[status(esa)],[f16750]) ).
fof(f44208,plain,
s__subclass(s__Reptile,s__Class30_1),
inference(cnf_transformation,[status(esa)],[f16751]) ).
fof(f44209,plain,
s__Class30_1 != s__Reptile,
inference(cnf_transformation,[status(esa)],[f16753]) ).
fof(f45545,plain,
( spl0_240
<=> s__instance(s__Reptile,s__SetOrClass) ),
introduced(split_symbol_definition) ).
fof(f45547,plain,
( ~ s__instance(s__Reptile,s__SetOrClass)
| spl0_240 ),
inference(component_clause,[status(thm)],[f45545]) ).
fof(f45575,plain,
! [X0] :
( ~ s__subclass(X0,s__Reptile)
| spl0_240 ),
inference(resolution,[status(thm)],[f45547,f16795]) ).
fof(f45579,plain,
( $false
| spl0_240 ),
inference(backward_subsumption_resolution,[status(thm)],[f44207,f45575]) ).
fof(f45580,plain,
spl0_240,
inference(contradiction_clause,[status(thm)],[f45579]) ).
fof(f45586,plain,
! [X0,X1] :
( ~ s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1)
| ~ s__subclass(X1,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f19532,f16795]) ).
fof(f45587,plain,
( spl0_244
<=> s__subclass(s__Reptile,s__Class30_1) ),
introduced(split_symbol_definition) ).
fof(f45589,plain,
( ~ s__subclass(s__Reptile,s__Class30_1)
| spl0_244 ),
inference(component_clause,[status(thm)],[f45587]) ).
fof(f45590,plain,
( spl0_245
<=> s__Reptile = s__Class30_1 ),
introduced(split_symbol_definition) ).
fof(f45591,plain,
( s__Reptile = s__Class30_1
| ~ spl0_245 ),
inference(component_clause,[status(thm)],[f45590]) ).
fof(f45593,plain,
( ~ s__instance(s__Reptile,s__SetOrClass)
| ~ s__subclass(s__Reptile,s__Class30_1)
| s__Reptile = s__Class30_1 ),
inference(resolution,[status(thm)],[f45586,f44207]) ).
fof(f45594,plain,
( ~ spl0_240
| ~ spl0_244
| spl0_245 ),
inference(split_clause,[status(thm)],[f45593,f45545,f45587,f45590]) ).
fof(f45602,plain,
( $false
| spl0_244 ),
inference(forward_subsumption_resolution,[status(thm)],[f45589,f44208]) ).
fof(f45603,plain,
spl0_244,
inference(contradiction_clause,[status(thm)],[f45602]) ).
fof(f45604,plain,
( $false
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[status(thm)],[f45591,f44209]) ).
fof(f45605,plain,
~ spl0_245,
inference(contradiction_clause,[status(thm)],[f45604]) ).
fof(f45606,plain,
$false,
inference(sat_refutation,[status(thm)],[f45580,f45594,f45603,f45605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR099+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:15:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.70/0.92 % Drodi V3.6.0
% 36.86/5.58 % Refutation found
% 36.86/5.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 36.86/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 38.27/5.75 % Elapsed time: 5.384374 seconds
% 38.27/5.75 % CPU time: 37.878652 seconds
% 38.27/5.75 % Total memory used: 1.058 GB
% 38.27/5.75 % Net memory used: 1.054 GB
%------------------------------------------------------------------------------