TSTP Solution File: TOP009-1 by iProver-SAT---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver-SAT---3.8
% Problem : TOP009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% 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 : Fri Sep 1 05:57:49 EDT 2023
% Result : Satisfiable 11.49s 2.13s
% Output : Model 11.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : run_iprover %s %d SAT
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 23:30:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.45 Running model finding
% 0.20/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.49/2.13 % SZS status Started for theBenchmark.p
% 11.49/2.13 % SZS status Satisfiable for theBenchmark.p
% 11.49/2.13
% 11.49/2.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.49/2.13
% 11.49/2.13 ------ iProver source info
% 11.49/2.13
% 11.49/2.13 git: date: 2023-05-31 18:12:56 +0000
% 11.49/2.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.49/2.13 git: non_committed_changes: false
% 11.49/2.13 git: last_make_outside_of_git: false
% 11.49/2.13
% 11.49/2.13 ------ Parsing...successful
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 11.49/2.13
% 11.49/2.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.49/2.13 ------ Proving...
% 11.49/2.13 ------ Problem Properties
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13 clauses 98
% 11.49/2.13 conjectures 3
% 11.49/2.13 EPR 24
% 11.49/2.13 Horn 76
% 11.49/2.13 unary 3
% 11.49/2.13 binary 46
% 11.49/2.13 lits 298
% 11.49/2.13 lits eq 0
% 11.49/2.13 fd_pure 0
% 11.49/2.13 fd_pseudo 0
% 11.49/2.13 fd_cond 0
% 11.49/2.13 fd_pseudo_cond 0
% 11.49/2.13 AC symbols 0
% 11.49/2.13
% 11.49/2.13 ------ Schedule dynamic 5 is on
% 11.49/2.13
% 11.49/2.13 ------ no equalities: superposition off
% 11.49/2.13
% 11.49/2.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13 ------
% 11.49/2.13 Current options:
% 11.49/2.13 ------
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13 ------ Proving...
% 11.49/2.13
% 11.49/2.13
% 11.49/2.13 % SZS status Satisfiable for theBenchmark.p
% 11.49/2.13
% 11.49/2.13 ------ Building Model...Done
% 11.49/2.13
% 11.49/2.13 %------ The model is defined over ground terms (initial term algebra).
% 11.49/2.13 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 11.49/2.13 %------ where \phi is a formula over the term algebra.
% 11.49/2.13 %------ If we have equality in the problem then it is also defined as a predicate above,
% 11.49/2.13 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 11.49/2.13 %------ See help for --sat_out_model for different model outputs.
% 11.49/2.13 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 11.49/2.13 %------ where the first argument stands for the sort ($i in the unsorted case)
% 11.49/2.13 % SZS output start Model for theBenchmark.p
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of open
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1,X2] :
% 11.49/2.13 ( open(X0,X1,X2) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=cy & X2=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=cx & X2=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=a & X1=cy & X2=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X1=cy & X2=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=union_of_members(X0) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(X0,cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=relative_complement_sets(X0,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f1(subspace_topology(cx,ct,cy),X0) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy)))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f10(subspace_topology(cx,ct,cy),closure(cy,cx,ct),X0) )
% 11.49/2.13 &
% 11.49/2.13 ! [X4,X3] : ( X0!=intersection_of_members(subspace_topology(X0,X3,X4)) )
% 11.49/2.13 &
% 11.49/2.13 ! [X7,X6] : ( X0!=f13(intersection_of_members(subspace_topology(X0,X3,X4)),X5,X6,X7) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f13(X0,cy,subspace_topology(cx,ct,cy),X3) )
% 11.49/2.13 &
% 11.49/2.13 ! [X5] : ( X0!=f10(subspace_topology(cx,ct,cy),intersection_of_members(subspace_topology(X0,X3,X4)),X5) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X1=cx & X2=ct )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=a )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(X0,cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=relative_complement_sets(X0,cx) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,union_of_members(ct)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(ct))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,relative_complement_sets(X0,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,f10(subspace_topology(cx,ct,cy),closure(cy,cx,ct),X0)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy))))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,closure(X0,cy,subspace_topology(cx,ct,cy))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy)))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,closure(cy,cx,ct)) )
% 11.49/2.13 &
% 11.49/2.13 ! [X4,X3] : ( X0!=intersection_of_members(subspace_topology(X0,X3,X4)) )
% 11.49/2.13 &
% 11.49/2.13 ! [X7,X6] : ( X0!=f13(intersection_of_members(subspace_topology(X0,X3,X4)),X5,X6,X7) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f13(X0,cx,ct,X3) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,f13(X0,cy,subspace_topology(cx,ct,cy),X3)) )
% 11.49/2.13 &
% 11.49/2.13 ! [X5] : ( X0!=f12(cx,ct,cy,f10(subspace_topology(cx,ct,cy),intersection_of_members(subspace_topology(X0,X3,X4)),X5)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,intersection_of_members(subspace_topology(X0,X3,X4))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,f13(intersection_of_members(subspace_topology(X0,X3,X4)),X5,X6,X7)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of element_of_set
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( element_of_set(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=f19(cy,subspace_topology(cx,ct,cy)) & X1=closure(cy,cx,ct) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f19(cy,subspace_topology(cx,ct,cy)) & X1=intersection_of_members(subspace_topology(X2,X3,X4)) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=f20(cy,subspace_topology(cx,ct,cy)) & X1=closure(cy,cx,ct) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f20(cy,subspace_topology(cx,ct,cy)) & X1=intersection_of_members(subspace_topology(X2,X3,X4)) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f11(X2,closure(cy,cx,ct)) & X1=closure(cy,cx,ct) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f11(X2,intersection_of_members(subspace_topology(X3,X4,X5))) & X1=intersection_of_members(subspace_topology(X3,X4,X5)) )
% 11.49/2.13 &
% 11.49/2.13 ( X3!=cx | X4!=ct | X5!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X1=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f19(cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f20(cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=intersection_of_members(subspace_topology(X2,X3,X4)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f19(cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f19(cy,subspace_topology(cx,ct,cy)) | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f20(cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f20(cy,subspace_topology(cx,ct,cy)) | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Negative definition of element_of_collection
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( ~(element_of_collection(X0,X1)) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=ct )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=top_of_basis(X1) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=a & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=union_of_members(X2) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=empty_set & X1=subspace_topology(X2,X3,X4) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_sets(X2,X3) & X1=subspace_topology(X4,X5,X6) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=a | X4!=cx | X5!=ct | X6!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X4!=cx | X5!=ct | X6!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=union_of_members(ct) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=top_of_basis(X1) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(cy,cx,ct) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(cy,cx,ct) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(cy,cx,ct) & X1=top_of_basis(X2) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(cy,cx,ct) & X1=top_of_basis(subspace_topology(X2,X3,X4)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_members(subspace_topology(X2,X3,X4)) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=top_of_basis(X1) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_members(subspace_topology(X2,X3,X4)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_members(subspace_topology(X2,X3,X4)) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_members(subspace_topology(X2,X3,X4)) & X1=top_of_basis(X5) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6,X7] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_members(subspace_topology(X2,X3,X4)) & X1=top_of_basis(subspace_topology(X5,X6,X7)) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,union_of_members(ct)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(ct))) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy))) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy)))) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f1(subspace_topology(X2,X3,X4),X5) & X1=subspace_topology(X2,X3,X4) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f2(subspace_topology(X2,X3,X4),X5) & X1=subspace_topology(X2,X3,X4) )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6,X7,X8] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f10(subspace_topology(X2,X3,X4),intersection_of_members(subspace_topology(X5,X6,X7)),X8) & X1=subspace_topology(X2,X3,X4) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f10(subspace_topology(X2,X3,X4),closure(cy,cx,ct),X5) & X1=subspace_topology(X2,X3,X4) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=relative_complement_sets(X2,cx) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=relative_complement_sets(X2,cy) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f10(subspace_topology(cx,ct,cy),closure(cy,cx,ct),X2) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f10(subspace_topology(cx,ct,cy),intersection_of_members(subspace_topology(X2,X3,X4)),X5) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(X2,cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=top_of_basis(X1) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(X2,cy,subspace_topology(cx,ct,cy)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=closure(X2,cy,subspace_topology(cx,ct,cy)) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(X1))) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=top_of_basis(X1) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy))))) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy)))) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,closure(cy,cx,ct)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f13(X2,cy,subspace_topology(cx,ct,cy),X3) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6,X7] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f13(intersection_of_members(subspace_topology(X2,X3,X4)),X5,X6,X7) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=subspace_topology(cx,ct,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=top_of_basis(X1) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6,X7] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f13(intersection_of_members(subspace_topology(X2,X3,X4)),X5,X6,X7) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6,X7] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f13(intersection_of_members(subspace_topology(X2,X3,X4)),X5,X6,X7) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,relative_complement_sets(X2,cy)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f13(X2,cx,ct,X3) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f1(subspace_topology(cx,ct,cy),X2) & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,intersection_of_members(subspace_topology(X2,X3,X4))) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,f10(subspace_topology(cx,ct,cy),intersection_of_members(subspace_topology(X2,X3,X4)),X5)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,f13(X2,cy,subspace_topology(cx,ct,cy),X3)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,closure(X2,cy,subspace_topology(cx,ct,cy))) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6,X7] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,f13(intersection_of_members(subspace_topology(X2,X3,X4)),X5,X6,X7)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f12(cx,ct,cy,f10(subspace_topology(cx,ct,cy),closure(cy,cx,ct),X2)) & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(X2,X3,X4) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=cy | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=a | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=empty_set )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=empty_set | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(X0,X2) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(X0,X2) | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(a,X0) | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f2(subspace_topology(cx,ct,cy),X0) | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(a,X2) | X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f2(subspace_topology(X0,X2,X3),X4) | X2!=X0 | X3!=X2 | X4!=X3 )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f1(subspace_topology(X0,X2,X3),X4) | X2!=X0 | X3!=X2 | X4!=X3 )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f10(subspace_topology(X0,X2,X3),closure(cy,cx,ct),X4) | X2!=X0 | X3!=X2 | X4!=X3 )
% 11.49/2.13 &
% 11.49/2.13 ! [X7,X6,X5] : ( X0!=f10(subspace_topology(X0,X2,X3),intersection_of_members(subspace_topology(X4,X5,X6)),X7) | X2!=X0 | X3!=X2 | X4!=X3 )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=cx | X3!=ct | X4!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(cx,X2,X3) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=cy | X2!=ct | X3!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=a | X2!=ct | X3!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=empty_set | X2!=ct | X3!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(a,X0) | X2!=ct | X3!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X2!=ct | X3!=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(cy,X2,X3) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(X2,X3,intersection_of_members(subspace_topology(X4,X5,X6))) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(X2,X3,closure(cy,cx,ct)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(intersection_of_members(subspace_topology(X2,X3,X4)),X5,X6) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(closure(cy,cx,ct),X2,X3) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X1=subspace_topology(X2,X3,closure(X4,cy,subspace_topology(cx,ct,cy))) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of topological_space
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( topological_space(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cx & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of equal_sets
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( equal_sets(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=intersection_of_sets(cy,f12(cx,ct,cy,cy)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=a & X1=intersection_of_sets(cy,f12(cx,ct,cy,a)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=empty_set & X1=intersection_of_sets(cy,f12(cx,ct,cy,empty_set)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_sets(X2,X3) & X1=intersection_of_sets(cy,f12(cx,ct,cy,intersection_of_sets(X2,X3))) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=union_of_members(ct) & X1=cx )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=union_of_members(subspace_topology(cx,ct,cy)) & X1=cy )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f2(subspace_topology(cx,ct,cy),X2) & X1=intersection_of_sets(cy,f12(cx,ct,cy,f2(subspace_topology(cx,ct,cy),X2))) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=intersection_of_sets(a,X2) & X1=intersection_of_sets(cy,f12(cx,ct,cy,intersection_of_sets(a,X2))) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X1=intersection_of_sets(cy,f12(cx,ct,cy,X0)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=union_of_members(X0) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(X0,cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=relative_complement_sets(X0,cy) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f1(subspace_topology(cx,ct,cy),X0) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_sets(cy,f12(cx,ct,cy,union_of_members(subspace_topology(cx,ct,cy)))) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f10(subspace_topology(cx,ct,cy),closure(cy,cx,ct),X0) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=f13(X0,cy,subspace_topology(cx,ct,cy),X2) )
% 11.49/2.13 &
% 11.49/2.13 ! [X3,X2] : ( X0!=intersection_of_members(subspace_topology(X0,X2,X3)) )
% 11.49/2.13 &
% 11.49/2.13 ! [X4] : ( X0!=f10(subspace_topology(cx,ct,cy),intersection_of_members(subspace_topology(X0,X2,X3)),X4) )
% 11.49/2.13 &
% 11.49/2.13 ! [X6,X5] : ( X0!=f13(intersection_of_members(subspace_topology(X0,X2,X3)),X4,X5,X6) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of subset_collections
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( subset_collections(X0,X1) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of closed
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1,X2] :
% 11.49/2.13 ( closed(X0,X1,X2) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of basis
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( basis(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cx & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of subset_sets
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( subset_sets(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0!=closure(X0,cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ! [X5,X4] : ( X0!=intersection_of_members(subspace_topology(X0,X4,X5)) )
% 11.49/2.13 &
% 11.49/2.13 ( X0!=intersection_of_members(subspace_topology(X0,X1,X3)) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=cx )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=closure(cy,cx,ct) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=intersection_of_members(subspace_topology(X1,X3,X0)) )
% 11.49/2.13 &
% 11.49/2.13 ! [X4] : ( X1!=intersection_of_members(subspace_topology(X1,X3,X4)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=cx )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=f14(cy,cx,ct,f19(cy,subspace_topology(cx,ct,cy))) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f13(X1,X2,X3,X4) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=cy )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=cx )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=intersection_of_members(subspace_topology(X1,X2,X3)) )
% 11.49/2.13 &
% 11.49/2.13 ( X1!=closure(cy,cx,ct) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3,X4,X5,X6] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f10(X2,intersection_of_members(subspace_topology(X3,X4,X5)),X6) & X1=intersection_of_members(subspace_topology(X3,X4,X5)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 ? [X2,X3] :
% 11.49/2.13 (
% 11.49/2.13 ( X0=f10(X2,closure(cy,cx,ct),X3) & X1=closure(cy,cx,ct) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of neighborhood
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1,X2,X3] :
% 11.49/2.13 ( neighborhood(X0,X1,X2,X3) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of limit_point
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1,X2,X3] :
% 11.49/2.13 ( limit_point(X0,X1,X2,X3) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X1=cy & X2=cx & X3=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Negative definition of eq_p
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( ~(eq_p(X0,X1)) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=f19(cy,subspace_topology(cx,ct,cy)) & X1=f20(cy,subspace_topology(cx,ct,cy)) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of hausdorff
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( hausdorff(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cx & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of disjoint_s
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( disjoint_s(X0,X1) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of separation
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1,X2,X3] :
% 11.49/2.13 ( separation(X0,X1,X2,X3) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of open_covering
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1,X2] :
% 11.49/2.13 ( open_covering(X0,X1,X2) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of compact_space
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0,X1] :
% 11.49/2.13 ( compact_space(X0,X1) <=>
% 11.49/2.13 (
% 11.49/2.13 (
% 11.49/2.13 ( X0=cy & X1=subspace_topology(cx,ct,cy) )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 |
% 11.49/2.13 (
% 11.49/2.13 ( X0=cx & X1=ct )
% 11.49/2.13 )
% 11.49/2.13
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13
% 11.49/2.13 %------ Positive definition of finite
% 11.49/2.13 fof(lit_def,axiom,
% 11.49/2.13 (! [X0] :
% 11.49/2.13 ( finite(X0) <=>
% 11.49/2.13 $false
% 11.49/2.13 )
% 11.49/2.13 )
% 11.49/2.13 ).
% 11.49/2.13 % SZS output end Model for theBenchmark.p
% 11.49/2.13 ------ Statistics
% 11.49/2.13
% 11.49/2.13 ------ Problem properties
% 11.49/2.13
% 11.49/2.13 clauses: 98
% 11.49/2.13 conjectures: 3
% 11.49/2.13 epr: 24
% 11.49/2.13 horn: 76
% 11.49/2.13 ground: 3
% 11.49/2.13 unary: 3
% 11.49/2.13 binary: 46
% 11.49/2.13 lits: 298
% 11.49/2.13 lits_eq: 0
% 11.49/2.13 fd_pure: 0
% 11.49/2.13 fd_pseudo: 0
% 11.49/2.13 fd_cond: 0
% 11.49/2.13 fd_pseudo_cond: 0
% 11.49/2.13 ac_symbols: 0
% 11.49/2.13
% 11.49/2.13 ------ General
% 11.49/2.13
% 11.49/2.13 abstr_ref_over_cycles: 0
% 11.49/2.13 abstr_ref_under_cycles: 0
% 11.49/2.13 gc_basic_clause_elim: 0
% 11.49/2.13 num_of_symbols: 157
% 11.49/2.13 num_of_terms: 51477
% 11.49/2.13
% 11.49/2.13 parsing_time: 0.008
% 11.49/2.13 unif_index_cands_time: 0.016
% 11.49/2.13 unif_index_add_time: 0.014
% 11.49/2.13 orderings_time: 0.
% 11.49/2.13 out_proof_time: 0.
% 11.49/2.13 total_time: 1.268
% 11.49/2.13
% 11.49/2.13 ------ Preprocessing
% 11.49/2.13
% 11.49/2.13 num_of_splits: 0
% 11.49/2.13 num_of_split_atoms: 0
% 11.49/2.13 num_of_reused_defs: 0
% 11.49/2.13 num_eq_ax_congr_red: 0
% 11.49/2.13 num_of_sem_filtered_clauses: 0
% 11.49/2.13 num_of_subtypes: 0
% 11.49/2.13 monotx_restored_types: 0
% 11.49/2.13 sat_num_of_epr_types: 0
% 11.49/2.13 sat_num_of_non_cyclic_types: 0
% 11.49/2.13 sat_guarded_non_collapsed_types: 0
% 11.49/2.13 num_pure_diseq_elim: 0
% 11.49/2.13 simp_replaced_by: 0
% 11.49/2.13 res_preprocessed: 0
% 11.49/2.13 sup_preprocessed: 0
% 11.49/2.13 prep_upred: 0
% 11.49/2.13 prep_unflattend: 0
% 11.49/2.13 prep_well_definedness: 0
% 11.49/2.13 smt_new_axioms: 0
% 11.49/2.13 pred_elim_cands: 18
% 11.49/2.13 pred_elim: 4
% 11.49/2.13 pred_elim_cl: 14
% 11.49/2.13 pred_elim_cycles: 26
% 11.49/2.13 merged_defs: 2
% 11.49/2.13 merged_defs_ncl: 0
% 11.49/2.13 bin_hyper_res: 2
% 11.49/2.13 prep_cycles: 2
% 11.49/2.13
% 11.49/2.13 splitting_time: 0.
% 11.49/2.13 sem_filter_time: 0.005
% 11.49/2.13 monotx_time: 0.
% 11.49/2.13 subtype_inf_time: 0.
% 11.49/2.13 res_prep_time: 0.024
% 11.49/2.13 sup_prep_time: 0.
% 11.49/2.13 pred_elim_time: 0.053
% 11.49/2.13 bin_hyper_res_time: 0.002
% 11.49/2.13 prep_time_total: 0.094
% 11.49/2.13
% 11.49/2.13 ------ Propositional Solver
% 11.49/2.13
% 11.49/2.13 prop_solver_calls: 35
% 11.49/2.13 prop_fast_solver_calls: 6278
% 11.49/2.13 smt_solver_calls: 0
% 11.49/2.13 smt_fast_solver_calls: 0
% 11.49/2.13 prop_num_of_clauses: 10348
% 11.49/2.13 prop_preprocess_simplified: 21267
% 11.49/2.13 prop_fo_subsumed: 179
% 11.49/2.13
% 11.49/2.13 prop_solver_time: 0.024
% 11.49/2.13 prop_fast_solver_time: 0.008
% 11.49/2.13 prop_unsat_core_time: 0.
% 11.49/2.13 smt_solver_time: 0.
% 11.49/2.13 smt_fast_solver_time: 0.
% 11.49/2.13
% 11.49/2.13 ------ QBF
% 11.49/2.13
% 11.49/2.13 qbf_q_res: 0
% 11.49/2.13 qbf_num_tautologies: 0
% 11.49/2.13 qbf_prep_cycles: 0
% 11.49/2.13
% 11.49/2.13 ------ BMC1
% 11.49/2.13
% 11.49/2.13 bmc1_current_bound: -1
% 11.49/2.13 bmc1_last_solved_bound: -1
% 11.49/2.13 bmc1_unsat_core_size: -1
% 11.49/2.13 bmc1_unsat_core_parents_size: -1
% 11.49/2.13 bmc1_merge_next_fun: 0
% 11.49/2.13
% 11.49/2.13 bmc1_unsat_core_clauses_time: 0.
% 11.49/2.13
% 11.49/2.13 ------ Instantiation
% 11.49/2.13
% 11.49/2.13 inst_num_of_clauses: 702
% 11.49/2.13 inst_num_in_passive: 0
% 11.49/2.13 inst_num_in_active: 3155
% 11.49/2.13 inst_num_of_loops: 3744
% 11.49/2.13 inst_num_in_unprocessed: 0
% 11.49/2.13 inst_num_of_learning_restarts: 1
% 11.49/2.13 inst_num_moves_active_passive: 570
% 11.49/2.13 inst_lit_activity: 0
% 11.49/2.13 inst_lit_activity_moves: 0
% 11.49/2.13 inst_num_tautologies: 0
% 11.49/2.13 inst_num_prop_implied: 0
% 11.49/2.13 inst_num_existing_simplified: 0
% 11.49/2.13 inst_num_eq_res_simplified: 0
% 11.49/2.13 inst_num_child_elim: 0
% 11.49/2.13 inst_num_of_dismatching_blockings: 9851
% 11.49/2.13 inst_num_of_non_proper_insts: 9621
% 11.49/2.13 inst_num_of_duplicates: 0
% 11.49/2.13 inst_inst_num_from_inst_to_res: 0
% 11.49/2.13
% 11.49/2.13 inst_time_sim_new: 0.189
% 11.49/2.13 inst_time_sim_given: 0.
% 11.49/2.13 inst_time_dismatching_checking: 0.058
% 11.49/2.14 inst_time_total: 0.709
% 11.49/2.14
% 11.49/2.14 ------ Resolution
% 11.49/2.14
% 11.49/2.14 res_num_of_clauses: 98
% 11.49/2.14 res_num_in_passive: 0
% 11.49/2.14 res_num_in_active: 0
% 11.49/2.14 res_num_of_loops: 212
% 11.49/2.14 res_forward_subset_subsumed: 87
% 11.49/2.14 res_backward_subset_subsumed: 0
% 11.49/2.14 res_forward_subsumed: 8
% 11.49/2.14 res_backward_subsumed: 0
% 11.49/2.14 res_forward_subsumption_resolution: 10
% 11.49/2.14 res_backward_subsumption_resolution: 2
% 11.49/2.14 res_clause_to_clause_subsumption: 4347
% 11.49/2.14 res_subs_bck_cnt: 3
% 11.49/2.14 res_orphan_elimination: 0
% 11.49/2.14 res_tautology_del: 100
% 11.49/2.14 res_num_eq_res_simplified: 0
% 11.49/2.14 res_num_sel_changes: 0
% 11.49/2.14 res_moves_from_active_to_pass: 0
% 11.49/2.14
% 11.49/2.14 res_time_sim_new: 0.004
% 11.49/2.14 res_time_sim_fw_given: 0.01
% 11.49/2.14 res_time_sim_bw_given: 0.006
% 11.49/2.14 res_time_total: 0.004
% 11.49/2.14
% 11.49/2.14 ------ Superposition
% 11.49/2.14
% 11.49/2.14 sup_num_of_clauses: 865
% 11.49/2.14 sup_num_in_active: 360
% 11.49/2.14 sup_num_in_passive: 505
% 11.49/2.14 sup_num_of_loops: 770
% 11.49/2.14 sup_fw_superposition: 1843
% 11.49/2.14 sup_bw_superposition: 878
% 11.49/2.14 sup_eq_factoring: 6
% 11.49/2.14 sup_eq_resolution: 0
% 11.49/2.14 sup_immediate_simplified: 2
% 11.49/2.14 sup_given_eliminated: 10
% 11.49/2.14 comparisons_done: 789
% 11.49/2.14 comparisons_avoided: 0
% 11.49/2.14 comparisons_inc_criteria: 0
% 11.49/2.14 sup_deep_cl_discarded: 4
% 11.49/2.14 sup_num_of_deepenings: 0
% 11.49/2.14 sup_num_of_restarts: 0
% 11.49/2.14
% 11.49/2.14 sup_time_generating: 0.044
% 11.49/2.14 sup_time_sim_fw_full: 0.062
% 11.49/2.14 sup_time_sim_bw_full: 0.082
% 11.49/2.14 sup_time_sim_fw_immed: 0.01
% 11.49/2.14 sup_time_sim_bw_immed: 0.071
% 11.49/2.14 sup_time_prep_sim_fw_input: 0.
% 11.49/2.14 sup_time_prep_sim_bw_input: 0.
% 11.49/2.14 sup_time_total: 0.387
% 11.49/2.14
% 11.49/2.14 ------ Simplifications
% 11.49/2.14
% 11.49/2.14 sim_repeated: 542
% 11.49/2.14 sim_fw_subset_subsumed: 461
% 11.49/2.14 sim_bw_subset_subsumed: 26
% 11.49/2.14 sim_fw_subsumed: 42
% 11.49/2.14 sim_bw_subsumed: 26
% 11.49/2.14 sim_fw_subsumption_res: 25
% 11.49/2.14 sim_bw_subsumption_res: 3
% 11.49/2.14 sim_fw_unit_subs: 22
% 11.49/2.14 sim_bw_unit_subs: 13
% 11.49/2.14 sim_tautology_del: 74
% 11.49/2.14 sim_eq_tautology_del: 0
% 11.49/2.14 sim_eq_res_simp: 0
% 11.49/2.14 sim_fw_demodulated: 0
% 11.49/2.14 sim_bw_demodulated: 0
% 11.49/2.14 sim_encompassment_demod: 0
% 11.49/2.14 sim_light_normalised: 0
% 11.49/2.14 sim_ac_normalised: 0
% 11.49/2.14 sim_joinable_taut: 0
% 11.49/2.14 sim_joinable_simp: 0
% 11.49/2.14 sim_fw_ac_demod: 0
% 11.49/2.14 sim_bw_ac_demod: 0
% 11.49/2.14 sim_smt_subsumption: 0
% 11.49/2.14 sim_smt_simplified: 0
% 11.49/2.14 sim_ground_joinable: 0
% 11.49/2.14 sim_bw_ground_joinable: 0
% 11.49/2.14 sim_connectedness: 0
% 11.49/2.14
% 11.49/2.14 sim_time_fw_subset_subs: 0.003
% 11.49/2.14 sim_time_bw_subset_subs: 0.001
% 11.49/2.14 sim_time_fw_subs: 0.02
% 11.49/2.14 sim_time_bw_subs: 0.031
% 11.49/2.14 sim_time_fw_subs_res: 0.038
% 11.49/2.14 sim_time_bw_subs_res: 0.
% 11.49/2.14 sim_time_fw_unit_subs: 0.007
% 11.49/2.14 sim_time_bw_unit_subs: 0.
% 11.49/2.14 sim_time_tautology_del: 0.002
% 11.49/2.14 sim_time_eq_tautology_del: 0.
% 11.49/2.14 sim_time_eq_res_simp: 0.
% 11.49/2.14 sim_time_fw_demod: 0.
% 11.49/2.14 sim_time_bw_demod: 0.
% 11.49/2.14 sim_time_light_norm: 0.
% 11.49/2.14 sim_time_joinable: 0.
% 11.49/2.14 sim_time_ac_norm: 0.
% 11.49/2.14 sim_time_fw_ac_demod: 0.
% 11.49/2.14 sim_time_bw_ac_demod: 0.
% 11.49/2.14 sim_time_smt_subs: 0.
% 11.49/2.14 sim_time_fw_gjoin: 0.
% 11.49/2.14 sim_time_fw_connected: 0.
% 11.49/2.14
% 11.49/2.14
%------------------------------------------------------------------------------