TSTP Solution File: CSR092+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR092+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:15:04 EDT 2024
% Result : Theorem 163.58s 21.18s
% Output : CNFRefutation 164.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 85 ( 42 unt; 0 def)
% Number of atoms : 163 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 140 ( 62 ~; 59 |; 8 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% 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/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [V__X,V__Y,V__Z] :
( ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) )
=> ( ( s__subclass(V__X,V__Y)
& s__instance(V__Z,V__X) )
=> s__instance(V__Z,V__Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,axiom,
! [V__ROW1,V__ROW2] :
( ( s__instance(V__ROW2,s__Organism)
& s__instance(V__ROW1,s__Organism) )
=> ( s__parent(V__ROW1,V__ROW2)
=> s__ancestor(V__ROW1,V__ROW2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [V__ROW1,V__ROW2] :
( ( s__instance(V__ROW2,s__Organism)
& s__instance(V__ROW1,s__Organism) )
=> ( s__son(V__ROW1,V__ROW2)
=> s__parent(V__ROW1,V__ROW2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5906,axiom,
s__subclass(s__Animal,s__Organism),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5923,axiom,
s__subclass(s__Vertebrate,s__Animal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5956,axiom,
s__subclass(s__WarmBloodedVertebrate,s__Vertebrate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5972,axiom,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5999,axiom,
s__subclass(s__Primate,s__Mammal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6009,axiom,
s__subclass(s__Hominid,s__Primate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6012,axiom,
s__subclass(s__Human,s__Hominid),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6017,axiom,
s__subclass(s__Man,s__Human),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14788,axiom,
s__instance(s__Man22_1,s__Man),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14789,axiom,
s__instance(s__Ancestor22_1,s__Human),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14790,axiom,
s__son(s__Man22_1,s__Ancestor22_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14791,conjecture,
? [V_X] :
( s__ancestor(s__Man22_1,V_X)
& V_X = s__Ancestor22_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14792,negated_conjecture,
~ ? [V_X] :
( s__ancestor(s__Man22_1,V_X)
& V_X = s__Ancestor22_1 ),
inference(negated_conjecture,[status(cth)],[f14791]) ).
fof(f14832,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(f14833,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(esa)],[f14832]) ).
fof(f14834,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[status(esa)],[f14832]) ).
fof(f14835,plain,
! [V__X,V__Y,V__Z] :
( ~ s__instance(V__Y,s__SetOrClass)
| ~ s__instance(V__X,s__SetOrClass)
| ~ s__subclass(V__X,V__Y)
| ~ s__instance(V__Z,V__X)
| s__instance(V__Z,V__Y) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f14836,plain,
! [V__X,V__Y] :
( ~ s__instance(V__Y,s__SetOrClass)
| ~ s__instance(V__X,s__SetOrClass)
| ! [V__Z] :
( ~ s__subclass(V__X,V__Y)
| ~ s__instance(V__Z,V__X)
| s__instance(V__Z,V__Y) ) ),
inference(miniscoping,[status(esa)],[f14835]) ).
fof(f14837,plain,
! [X0,X1,X2] :
( ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__subclass(X1,X0)
| ~ s__instance(X2,X1)
| s__instance(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f14836]) ).
fof(f14969,plain,
! [V__ROW1,V__ROW2] :
( ~ s__instance(V__ROW2,s__Organism)
| ~ s__instance(V__ROW1,s__Organism)
| ~ s__parent(V__ROW1,V__ROW2)
| s__ancestor(V__ROW1,V__ROW2) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f14970,plain,
! [X0,X1] :
( ~ s__instance(X0,s__Organism)
| ~ s__instance(X1,s__Organism)
| ~ s__parent(X1,X0)
| s__ancestor(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f14969]) ).
fof(f15029,plain,
! [V__ROW1,V__ROW2] :
( ~ s__instance(V__ROW2,s__Organism)
| ~ s__instance(V__ROW1,s__Organism)
| ~ s__son(V__ROW1,V__ROW2)
| s__parent(V__ROW1,V__ROW2) ),
inference(pre_NNF_transformation,[status(esa)],[f125]) ).
fof(f15030,plain,
! [X0,X1] :
( ~ s__instance(X0,s__Organism)
| ~ s__instance(X1,s__Organism)
| ~ s__son(X1,X0)
| s__parent(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f15029]) ).
fof(f24953,plain,
s__subclass(s__Animal,s__Organism),
inference(cnf_transformation,[status(esa)],[f5906]) ).
fof(f24981,plain,
s__subclass(s__Vertebrate,s__Animal),
inference(cnf_transformation,[status(esa)],[f5923]) ).
fof(f25014,plain,
s__subclass(s__WarmBloodedVertebrate,s__Vertebrate),
inference(cnf_transformation,[status(esa)],[f5956]) ).
fof(f25034,plain,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
inference(cnf_transformation,[status(esa)],[f5972]) ).
fof(f25063,plain,
s__subclass(s__Primate,s__Mammal),
inference(cnf_transformation,[status(esa)],[f5999]) ).
fof(f25073,plain,
s__subclass(s__Hominid,s__Primate),
inference(cnf_transformation,[status(esa)],[f6009]) ).
fof(f25076,plain,
s__subclass(s__Human,s__Hominid),
inference(cnf_transformation,[status(esa)],[f6012]) ).
fof(f25081,plain,
s__subclass(s__Man,s__Human),
inference(cnf_transformation,[status(esa)],[f6017]) ).
fof(f34362,plain,
s__instance(s__Man22_1,s__Man),
inference(cnf_transformation,[status(esa)],[f14788]) ).
fof(f34363,plain,
s__instance(s__Ancestor22_1,s__Human),
inference(cnf_transformation,[status(esa)],[f14789]) ).
fof(f34364,plain,
s__son(s__Man22_1,s__Ancestor22_1),
inference(cnf_transformation,[status(esa)],[f14790]) ).
fof(f34365,plain,
! [V_X] :
( ~ s__ancestor(s__Man22_1,V_X)
| V_X != s__Ancestor22_1 ),
inference(pre_NNF_transformation,[status(esa)],[f14792]) ).
fof(f34366,plain,
! [X0] :
( ~ s__ancestor(s__Man22_1,X0)
| X0 != s__Ancestor22_1 ),
inference(cnf_transformation,[status(esa)],[f34365]) ).
fof(f34687,plain,
! [X0,X1,X2] :
( ~ s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| s__instance(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14837,f14834]) ).
fof(f35510,plain,
~ s__ancestor(s__Man22_1,s__Ancestor22_1),
inference(destructive_equality_resolution,[status(esa)],[f34366]) ).
fof(f40059,plain,
( spl0_565
<=> s__instance(s__Ancestor22_1,s__Organism) ),
introduced(split_symbol_definition) ).
fof(f40061,plain,
( ~ s__instance(s__Ancestor22_1,s__Organism)
| spl0_565 ),
inference(component_clause,[status(thm)],[f40059]) ).
fof(f40062,plain,
( spl0_566
<=> s__instance(s__Man22_1,s__Organism) ),
introduced(split_symbol_definition) ).
fof(f40064,plain,
( ~ s__instance(s__Man22_1,s__Organism)
| spl0_566 ),
inference(component_clause,[status(thm)],[f40062]) ).
fof(f40065,plain,
( spl0_567
<=> s__parent(s__Man22_1,s__Ancestor22_1) ),
introduced(split_symbol_definition) ).
fof(f40066,plain,
( s__parent(s__Man22_1,s__Ancestor22_1)
| ~ spl0_567 ),
inference(component_clause,[status(thm)],[f40065]) ).
fof(f40068,plain,
( ~ s__instance(s__Ancestor22_1,s__Organism)
| ~ s__instance(s__Man22_1,s__Organism)
| s__parent(s__Man22_1,s__Ancestor22_1) ),
inference(resolution,[status(thm)],[f15030,f34364]) ).
fof(f40069,plain,
( ~ spl0_565
| ~ spl0_566
| spl0_567 ),
inference(split_clause,[status(thm)],[f40068,f40059,f40062,f40065]) ).
fof(f40077,plain,
( spl0_569
<=> s__ancestor(s__Man22_1,s__Ancestor22_1) ),
introduced(split_symbol_definition) ).
fof(f40078,plain,
( s__ancestor(s__Man22_1,s__Ancestor22_1)
| ~ spl0_569 ),
inference(component_clause,[status(thm)],[f40077]) ).
fof(f40080,plain,
( ~ s__instance(s__Ancestor22_1,s__Organism)
| ~ s__instance(s__Man22_1,s__Organism)
| s__ancestor(s__Man22_1,s__Ancestor22_1)
| ~ spl0_567 ),
inference(resolution,[status(thm)],[f40066,f14970]) ).
fof(f40081,plain,
( ~ spl0_565
| ~ spl0_566
| spl0_569
| ~ spl0_567 ),
inference(split_clause,[status(thm)],[f40080,f40059,f40062,f40077,f40065]) ).
fof(f40082,plain,
( $false
| ~ spl0_569 ),
inference(forward_subsumption_resolution,[status(thm)],[f40078,f35510]) ).
fof(f40083,plain,
~ spl0_569,
inference(contradiction_clause,[status(thm)],[f40082]) ).
fof(f50573,plain,
! [X0,X1,X2] :
( ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| s__instance(X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f34687,f14833]) ).
fof(f51454,plain,
! [X0] :
( ~ s__instance(X0,s__Man)
| s__instance(X0,s__Human) ),
inference(resolution,[status(thm)],[f50573,f25081]) ).
fof(f51456,plain,
! [X0] :
( ~ s__instance(X0,s__Human)
| s__instance(X0,s__Hominid) ),
inference(resolution,[status(thm)],[f50573,f25076]) ).
fof(f51457,plain,
! [X0] :
( ~ s__instance(X0,s__Hominid)
| s__instance(X0,s__Primate) ),
inference(resolution,[status(thm)],[f50573,f25073]) ).
fof(f51460,plain,
! [X0] :
( ~ s__instance(X0,s__Primate)
| s__instance(X0,s__Mammal) ),
inference(resolution,[status(thm)],[f50573,f25063]) ).
fof(f51468,plain,
! [X0] :
( ~ s__instance(X0,s__Mammal)
| s__instance(X0,s__WarmBloodedVertebrate) ),
inference(resolution,[status(thm)],[f50573,f25034]) ).
fof(f51475,plain,
! [X0] :
( ~ s__instance(X0,s__WarmBloodedVertebrate)
| s__instance(X0,s__Vertebrate) ),
inference(resolution,[status(thm)],[f50573,f25014]) ).
fof(f51485,plain,
! [X0] :
( ~ s__instance(X0,s__Vertebrate)
| s__instance(X0,s__Animal) ),
inference(resolution,[status(thm)],[f50573,f24981]) ).
fof(f51489,plain,
! [X0] :
( ~ s__instance(X0,s__Animal)
| s__instance(X0,s__Organism) ),
inference(resolution,[status(thm)],[f50573,f24953]) ).
fof(f51838,plain,
s__instance(s__Man22_1,s__Human),
inference(resolution,[status(thm)],[f51454,f34362]) ).
fof(f51846,plain,
s__instance(s__Ancestor22_1,s__Hominid),
inference(resolution,[status(thm)],[f51456,f34363]) ).
fof(f51847,plain,
s__instance(s__Man22_1,s__Hominid),
inference(resolution,[status(thm)],[f51456,f51838]) ).
fof(f51850,plain,
s__instance(s__Ancestor22_1,s__Primate),
inference(resolution,[status(thm)],[f51457,f51846]) ).
fof(f51851,plain,
s__instance(s__Man22_1,s__Primate),
inference(resolution,[status(thm)],[f51457,f51847]) ).
fof(f51858,plain,
s__instance(s__Ancestor22_1,s__Mammal),
inference(resolution,[status(thm)],[f51460,f51850]) ).
fof(f51859,plain,
s__instance(s__Man22_1,s__Mammal),
inference(resolution,[status(thm)],[f51460,f51851]) ).
fof(f51972,plain,
s__instance(s__Ancestor22_1,s__WarmBloodedVertebrate),
inference(resolution,[status(thm)],[f51468,f51858]) ).
fof(f51973,plain,
s__instance(s__Man22_1,s__WarmBloodedVertebrate),
inference(resolution,[status(thm)],[f51468,f51859]) ).
fof(f51989,plain,
s__instance(s__Ancestor22_1,s__Vertebrate),
inference(resolution,[status(thm)],[f51475,f51972]) ).
fof(f51990,plain,
s__instance(s__Man22_1,s__Vertebrate),
inference(resolution,[status(thm)],[f51475,f51973]) ).
fof(f52115,plain,
s__instance(s__Ancestor22_1,s__Animal),
inference(resolution,[status(thm)],[f51485,f51989]) ).
fof(f52116,plain,
s__instance(s__Man22_1,s__Animal),
inference(resolution,[status(thm)],[f51485,f51990]) ).
fof(f52125,plain,
s__instance(s__Ancestor22_1,s__Organism),
inference(resolution,[status(thm)],[f51489,f52115]) ).
fof(f52126,plain,
( $false
| spl0_565 ),
inference(forward_subsumption_resolution,[status(thm)],[f52125,f40061]) ).
fof(f52127,plain,
spl0_565,
inference(contradiction_clause,[status(thm)],[f52126]) ).
fof(f52128,plain,
s__instance(s__Man22_1,s__Organism),
inference(resolution,[status(thm)],[f51489,f52116]) ).
fof(f52129,plain,
( $false
| spl0_566 ),
inference(forward_subsumption_resolution,[status(thm)],[f52128,f40064]) ).
fof(f52130,plain,
spl0_566,
inference(contradiction_clause,[status(thm)],[f52129]) ).
fof(f52131,plain,
$false,
inference(sat_refutation,[status(thm)],[f40069,f40081,f40083,f52127,f52130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : CSR092+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n004.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 : Mon Apr 29 23:43:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.44/0.62 % Drodi V3.6.0
% 163.58/21.18 % Refutation found
% 163.58/21.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 163.58/21.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 165.18/21.46 % Elapsed time: 21.091969 seconds
% 165.18/21.46 % CPU time: 164.622311 seconds
% 165.18/21.46 % Total memory used: 1.076 GB
% 165.18/21.46 % Net memory used: 1.036 GB
%------------------------------------------------------------------------------