TSTP Solution File: CSR118+7 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR118+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:15:42 EDT 2024
% Result : Theorem 104.65s 15.61s
% Output : CNFRefutation 109.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 109 ( 11 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 135 ( 46 ~; 44 |; 40 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 63 ( 55 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26456,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(f32412,axiom,
! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
<=> ! [V__I1,V__I2,V__I3] :
( ( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass) )
=> ( ( s__instance(V__I1,V__C1)
& s__instance(V__I2,V__C2)
& s__instance(V__I3,V__U) )
=> ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34918,axiom,
s__subclass(s__HoofedMammal,s__Mammal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55588,conjecture,
? [X__s__AbrahamLincoln] : s__instance(X__s__AbrahamLincoln,s__Mammal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55589,negated_conjecture,
~ ? [X__s__AbrahamLincoln] : s__instance(X__s__AbrahamLincoln,s__Mammal),
inference(negated_conjecture,[status(cth)],[f55588]) ).
fof(f112187,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)],[f26456]) ).
fof(f112188,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(esa)],[f112187]) ).
fof(f123580,plain,
! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
<=> ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f32412]) ).
fof(f123581,plain,
! [V__C2,V__U,V__C1] :
( ( V__U != s__UnionFn(V__C1,V__C2)
| ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) )
& ( V__U = s__UnionFn(V__C1,V__C2)
| ? [V__I1,V__I2,V__I3] :
( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass)
& s__instance(V__I1,V__C1)
& s__instance(V__I2,V__C2)
& s__instance(V__I3,V__U)
& ( ~ s__instance(V__I1,V__U)
| ~ s__instance(V__I2,V__U)
| ( ~ s__instance(V__I3,V__C1)
& ~ s__instance(V__I3,V__C2) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f123580]) ).
fof(f123582,plain,
( ! [V__C2,V__U,V__C1] :
( V__U != s__UnionFn(V__C1,V__C2)
| ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) )
& ! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
| ( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass)
& ? [V__I1,V__I2,V__I3] :
( s__instance(V__I1,V__C1)
& s__instance(V__I2,V__C2)
& s__instance(V__I3,V__U)
& ( ~ s__instance(V__I1,V__U)
| ~ s__instance(V__I2,V__U)
| ( ~ s__instance(V__I3,V__C1)
& ~ s__instance(V__I3,V__C2) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f123581]) ).
fof(f123583,plain,
( ! [V__C2,V__U,V__C1] :
( V__U != s__UnionFn(V__C1,V__C2)
| ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) )
& ! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
| ( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass)
& s__instance(sk0_4526(V__C1,V__U,V__C2),V__C1)
& s__instance(sk0_4527(V__C1,V__U,V__C2),V__C2)
& s__instance(sk0_4528(V__C1,V__U,V__C2),V__U)
& ( ~ s__instance(sk0_4526(V__C1,V__U,V__C2),V__U)
| ~ s__instance(sk0_4527(V__C1,V__U,V__C2),V__U)
| ( ~ s__instance(sk0_4528(V__C1,V__U,V__C2),V__C1)
& ~ s__instance(sk0_4528(V__C1,V__U,V__C2),V__C2) ) ) ) ) ),
inference(skolemization,[status(esa)],[f123582]) ).
fof(f123590,plain,
! [X0,X1,X2] :
( X0 = s__UnionFn(X1,X2)
| s__instance(sk0_4526(X1,X0,X2),X1) ),
inference(cnf_transformation,[status(esa)],[f123583]) ).
fof(f127504,plain,
s__subclass(s__HoofedMammal,s__Mammal),
inference(cnf_transformation,[status(esa)],[f34918]) ).
fof(f156901,plain,
! [X__s__AbrahamLincoln] : ~ s__instance(X__s__AbrahamLincoln,s__Mammal),
inference(pre_NNF_transformation,[status(esa)],[f55589]) ).
fof(f156902,plain,
! [X0] : ~ s__instance(X0,s__Mammal),
inference(cnf_transformation,[status(esa)],[f156901]) ).
fof(f160295,plain,
! [X0,X1] : X0 = s__UnionFn(s__Mammal,X1),
inference(resolution,[status(thm)],[f123590,f156902]) ).
fof(f160296,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f160295,f160295]) ).
fof(f160330,plain,
! [X0,X1] : ~ s__instance(X0,X1),
inference(paramodulation,[status(thm)],[f160296,f156902]) ).
fof(f160334,plain,
! [X0,X1] : ~ s__subclass(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f112188,f160330]) ).
fof(f160336,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f127504,f160334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR118+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:11:49 EDT 2024
% 0.12/0.33 % CPUTime :
% 2.40/2.62 % Drodi V3.6.0
% 104.65/15.61 % Refutation found
% 104.65/15.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 104.65/15.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 111.08/16.54 % Elapsed time: 16.095971 seconds
% 111.08/16.54 % CPU time: 107.110828 seconds
% 111.08/16.54 % Total memory used: 4.010 GB
% 111.08/16.54 % Net memory used: 3.980 GB
%------------------------------------------------------------------------------