TSTP Solution File: SET008-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:38:35 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 28 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [Set1,Set2,Intersection] :
( member(h(Set1,Set2,Intersection),Intersection)
| intersection(Set1,Set2,Intersection)
| member(h(Set1,Set2,Intersection),Set1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Set1,Set2,Intersection] :
( member(h(Set1,Set2,Intersection),Intersection)
| intersection(Set1,Set2,Intersection)
| member(h(Set1,Set2,Intersection),Set2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Element,Set1,Set2,A_set] :
( ~ member(Element,Set1)
| ~ member(Element,Set2)
| ~ difference(A_set,Set1,Set2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [A] : ~ member(A,aI_bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0,X1,X2] :
( member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f36,plain,
! [X0,X1,X2] :
( member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f40,plain,
! [Set1,Set2] :
( ! [Element] :
( ~ member(Element,Set1)
| ~ member(Element,Set2) )
| ! [A_set] : ~ difference(A_set,Set1,Set2) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ difference(X3,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f47,plain,
difference(b,a,bDa),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f48,plain,
~ intersection(a,bDa,aI_bDa),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f49,plain,
! [X0] : ~ member(X0,aI_bDa),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f50,plain,
( spl0_0
<=> member(h(a,bDa,aI_bDa),aI_bDa) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( spl0_1
<=> member(h(a,bDa,aI_bDa),a) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( member(h(a,bDa,aI_bDa),a)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| member(h(a,bDa,aI_bDa),a) ),
inference(resolution,[status(thm)],[f35,f48]) ).
fof(f57,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f56,f50,f53]) ).
fof(f58,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f49]) ).
fof(f59,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( spl0_2
<=> member(h(a,bDa,aI_bDa),bDa) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( member(h(a,bDa,aI_bDa),bDa)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| member(h(a,bDa,aI_bDa),bDa) ),
inference(resolution,[status(thm)],[f36,f48]) ).
fof(f64,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f63,f50,f60]) ).
fof(f77,plain,
! [X0,X1] :
( ~ member(h(a,bDa,aI_bDa),X0)
| ~ difference(X1,X0,bDa)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f61,f41]) ).
fof(f92,plain,
! [X0] :
( ~ difference(X0,a,bDa)
| ~ spl0_2
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f54]) ).
fof(f98,plain,
( $false
| ~ spl0_2
| ~ spl0_1 ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f92]) ).
fof(f99,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f100,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f59,f64,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:19:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.019483 seconds
% 0.14/0.37 % CPU time: 0.056251 seconds
% 0.14/0.37 % Total memory used: 2.689 MB
% 0.14/0.37 % Net memory used: 2.647 MB
%------------------------------------------------------------------------------