TSTP Solution File: LCL565+1 by iProver-SAT---3.8
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%------------------------------------------------------------------------------
% File : iProver-SAT---3.8
% Problem : LCL565+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% 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 : Thu Aug 31 07:55:01 EDT 2023
% Result : CounterSatisfiable 70.24s 9.54s
% Output : Model 70.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL565+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : run_iprover %s %d SAT
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 24 17:29:53 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.40 Running model finding
% 0.17/0.40 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 70.24/9.54 % SZS status Started for theBenchmark.p
% 70.24/9.54 % SZS status CounterSatisfiable for theBenchmark.p
% 70.24/9.54
% 70.24/9.54 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 70.24/9.54
% 70.24/9.54 ------ iProver source info
% 70.24/9.54
% 70.24/9.54 git: date: 2023-05-31 18:12:56 +0000
% 70.24/9.54 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 70.24/9.54 git: non_committed_changes: false
% 70.24/9.54 git: last_make_outside_of_git: false
% 70.24/9.54
% 70.24/9.54 ------ Parsing...
% 70.24/9.54 ------ Clausification by vclausify_rel & Parsing by iProver...
% 70.24/9.54
% 70.24/9.54 ------ Preprocessing... sup_sim: 1 sf_s rm: 19 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 70.24/9.54
% 70.24/9.54 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.24/9.54
% 70.24/9.54 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 70.24/9.54 ------ Proving...
% 70.24/9.54 ------ Problem Properties
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 clauses 19
% 70.24/9.54 conjectures 0
% 70.24/9.54 EPR 1
% 70.24/9.54 Horn 19
% 70.24/9.54 unary 16
% 70.24/9.54 binary 1
% 70.24/9.54 lits 24
% 70.24/9.54 lits eq 7
% 70.24/9.54 fd_pure 0
% 70.24/9.54 fd_pseudo 0
% 70.24/9.54 fd_cond 0
% 70.24/9.54 fd_pseudo_cond 1
% 70.24/9.54 AC symbols 0
% 70.24/9.54
% 70.24/9.54 ------ Input Options Time Limit: Unbounded
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Finite Models:
% 70.24/9.54
% 70.24/9.54 ------ lit_activity_flag true
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 1
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54 ------
% 70.24/9.54 Current options:
% 70.24/9.54 ------
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 2
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 3
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 3
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 3
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 3
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 4
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 4
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54 ------ Trying domains of size >= : 4
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 ------ Proving...
% 70.24/9.54
% 70.24/9.54
% 70.24/9.54 % SZS status CounterSatisfiable for theBenchmark.p
% 70.24/9.54
% 70.24/9.54 ------ Building Model...Done
% 70.24/9.54
% 70.24/9.54 %------ The model is defined over ground terms (initial term algebra).
% 70.24/9.54 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 70.24/9.54 %------ where \phi is a formula over the term algebra.
% 70.24/9.54 %------ If we have equality in the problem then it is also defined as a predicate above,
% 70.24/9.54 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 70.24/9.54 %------ See help for --sat_out_model for different model outputs.
% 70.24/9.54 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 70.24/9.54 %------ where the first argument stands for the sort ($i in the unsorted case)
% 70.24/9.54 % SZS output start Model for theBenchmark.p
% 70.24/9.54
% 70.24/9.54 %------ Negative definition of equality_sorted
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0_12,X0_1,X1_1] :
% 70.24/9.54 ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of op_or
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( op_or <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of op_implies_and
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( op_implies_and <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of op_equiv
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( op_equiv <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of necessitation
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( necessitation <=>
% 70.24/9.54 $false
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Negative definition of is_a_theorem
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0] :
% 70.24/9.54 ( ~(is_a_theorem(X0)) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of modus_ponens_strict_implies
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( modus_ponens_strict_implies <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of adjunction
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( adjunction <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of substitution_strict_equiv
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( substitution_strict_equiv <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_s3
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_s3 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m1
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m1 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m2
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m2 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m3
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m3 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m4
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m4 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m5
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m5 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m6
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m6 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of axiom_m9
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( axiom_m9 <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of op_possibly
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( op_possibly <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of op_strict_implies
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( op_strict_implies <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of op_strict_equiv
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 ( op_strict_equiv <=>
% 70.24/9.54 $true
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_or
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1,X2] :
% 70.24/9.54 ( iProver_Flat_or(X0,X1,X2) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_not
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1] :
% 70.24/9.54 ( iProver_Flat_not(X0,X1) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_and
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1,X2] :
% 70.24/9.54 ( iProver_Flat_and(X0,X1,X2) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_implies
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1,X2] :
% 70.24/9.54 ( iProver_Flat_implies(X0,X1,X2) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_equiv
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1,X2] :
% 70.24/9.54 ( iProver_Flat_equiv(X0,X1,X2) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_sK0
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0] :
% 70.24/9.54 ( iProver_Flat_sK0(X0) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_necessarily
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1] :
% 70.24/9.54 ( iProver_Flat_necessarily(X0,X1) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_strict_implies
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1,X2] :
% 70.24/9.54 ( iProver_Flat_strict_implies(X0,X1,X2) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_strict_equiv
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1,X2] :
% 70.24/9.54 ( iProver_Flat_strict_equiv(X0,X1,X2) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X2!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54
% 70.24/9.54 %------ Positive definition of iProver_Flat_possibly
% 70.24/9.54 fof(lit_def,axiom,
% 70.24/9.54 (! [X0,X1] :
% 70.24/9.54 ( iProver_Flat_possibly(X0,X1) <=>
% 70.24/9.54 (
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_1 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_2 )
% 70.24/9.54 &
% 70.24/9.54 ( X1!=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 |
% 70.24/9.54 (
% 70.24/9.54 ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 70.24/9.54 )
% 70.24/9.54
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 )
% 70.24/9.54 ).
% 70.24/9.54 % SZS output end Model for theBenchmark.p
% 70.24/9.54 ------ Statistics
% 70.24/9.54
% 70.24/9.54 ------ Problem properties
% 70.24/9.54
% 70.24/9.54 clauses: 19
% 70.24/9.54 conjectures: 0
% 70.24/9.54 epr: 1
% 70.24/9.54 horn: 19
% 70.24/9.54 ground: 2
% 70.24/9.54 unary: 16
% 70.24/9.54 binary: 1
% 70.24/9.54 lits: 24
% 70.24/9.54 lits_eq: 7
% 70.24/9.54 fd_pure: 0
% 70.24/9.54 fd_pseudo: 0
% 70.24/9.54 fd_cond: 0
% 70.24/9.54 fd_pseudo_cond: 1
% 70.24/9.54 ac_symbols: 0
% 70.24/9.54
% 70.24/9.54 ------ General
% 70.24/9.54
% 70.24/9.54 abstr_ref_over_cycles: 0
% 70.24/9.54 abstr_ref_under_cycles: 0
% 70.24/9.54 gc_basic_clause_elim: 0
% 70.24/9.54 num_of_symbols: 176
% 70.24/9.54 num_of_terms: 5935
% 70.24/9.54
% 70.24/9.54 parsing_time: 0.005
% 70.24/9.54 unif_index_cands_time: 0.426
% 70.24/9.54 unif_index_add_time: 0.183
% 70.24/9.54 orderings_time: 0.
% 70.24/9.54 out_proof_time: 0.
% 70.24/9.54 total_time: 8.719
% 70.24/9.54
% 70.24/9.54 ------ Preprocessing
% 70.24/9.54
% 70.24/9.54 num_of_splits: 0
% 70.24/9.54 num_of_split_atoms: 0
% 70.24/9.54 num_of_reused_defs: 0
% 70.24/9.54 num_eq_ax_congr_red: 21
% 70.24/9.54 num_of_sem_filtered_clauses: 19
% 70.24/9.54 num_of_subtypes: 0
% 70.24/9.54 monotx_restored_types: 0
% 70.24/9.54 sat_num_of_epr_types: 0
% 70.24/9.54 sat_num_of_non_cyclic_types: 0
% 70.24/9.54 sat_guarded_non_collapsed_types: 0
% 70.24/9.54 num_pure_diseq_elim: 0
% 70.24/9.54 simp_replaced_by: 0
% 70.24/9.54 res_preprocessed: 0
% 70.24/9.54 sup_preprocessed: 1
% 70.24/9.54 prep_upred: 0
% 70.24/9.54 prep_unflattend: 0
% 70.24/9.54 prep_well_definedness: 0
% 70.24/9.54 smt_new_axioms: 0
% 70.24/9.54 pred_elim_cands: 1
% 70.24/9.54 pred_elim: 0
% 70.24/9.54 pred_elim_cl: 0
% 70.24/9.54 pred_elim_cycles: 2
% 70.24/9.54 merged_defs: 0
% 70.24/9.54 merged_defs_ncl: 0
% 70.24/9.54 bin_hyper_res: 0
% 70.24/9.54 prep_cycles: 4
% 70.24/9.54
% 70.24/9.54 splitting_time: 0.
% 70.24/9.54 sem_filter_time: 0.003
% 70.24/9.54 monotx_time: 0.
% 70.24/9.54 subtype_inf_time: 0.
% 70.24/9.54 res_prep_time: 0.005
% 70.24/9.54 sup_prep_time: 0.001
% 70.24/9.54 pred_elim_time: 0.
% 70.24/9.54 bin_hyper_res_time: 0.
% 70.24/9.54 prep_time_total: 0.017
% 70.24/9.54
% 70.24/9.54 ------ Propositional Solver
% 70.24/9.54
% 70.24/9.54 prop_solver_calls: 304
% 70.24/9.54 prop_fast_solver_calls: 516
% 70.24/9.54 smt_solver_calls: 0
% 70.24/9.54 smt_fast_solver_calls: 0
% 70.24/9.54 prop_num_of_clauses: 42455
% 70.24/9.54 prop_preprocess_simplified: 155496
% 70.24/9.54 prop_fo_subsumed: 19
% 70.24/9.54
% 70.24/9.54 prop_solver_time: 0.489
% 70.24/9.54 prop_fast_solver_time: 0.
% 70.24/9.54 prop_unsat_core_time: 0.203
% 70.24/9.54 smt_solver_time: 0.
% 70.24/9.54 smt_fast_solver_time: 0.
% 70.24/9.54
% 70.24/9.54 ------ QBF
% 70.24/9.54
% 70.24/9.54 qbf_q_res: 0
% 70.24/9.54 qbf_num_tautologies: 0
% 70.24/9.54 qbf_prep_cycles: 0
% 70.24/9.54
% 70.24/9.54 ------ BMC1
% 70.24/9.54
% 70.24/9.54 bmc1_current_bound: -1
% 70.24/9.54 bmc1_last_solved_bound: -1
% 70.24/9.54 bmc1_unsat_core_size: -1
% 70.24/9.54 bmc1_unsat_core_parents_size: -1
% 70.24/9.54 bmc1_merge_next_fun: 0
% 70.24/9.54
% 70.24/9.54 bmc1_unsat_core_clauses_time: 0.
% 70.24/9.54
% 70.24/9.54 ------ Instantiation
% 70.24/9.54
% 70.24/9.54 inst_num_of_clauses: 4484
% 70.24/9.54 inst_num_in_passive: 0
% 70.24/9.54 inst_num_in_active: 35790
% 70.24/9.54 inst_num_of_loops: 71287
% 70.24/9.54 inst_num_in_unprocessed: 0
% 70.24/9.54 inst_num_of_learning_restarts: 8
% 70.24/9.54 inst_num_moves_active_passive: 35245
% 70.24/9.54 inst_lit_activity: 0
% 70.24/9.54 inst_lit_activity_moves: 0
% 70.24/9.54 inst_num_tautologies: 0
% 70.24/9.54 inst_num_prop_implied: 0
% 70.24/9.54 inst_num_existing_simplified: 0
% 70.24/9.54 inst_num_eq_res_simplified: 0
% 70.24/9.54 inst_num_child_elim: 0
% 70.24/9.54 inst_num_of_dismatching_blockings: 29106
% 70.24/9.54 inst_num_of_non_proper_insts: 67265
% 70.24/9.54 inst_num_of_duplicates: 0
% 70.24/9.54 inst_inst_num_from_inst_to_res: 0
% 70.24/9.54
% 70.24/9.54 inst_time_sim_new: 2.11
% 70.24/9.54 inst_time_sim_given: 0.008
% 70.24/9.54 inst_time_dismatching_checking: 0.501
% 70.24/9.54 inst_time_total: 8.26
% 70.24/9.54
% 70.24/9.54 ------ Resolution
% 70.24/9.54
% 70.24/9.54 res_num_of_clauses: 28
% 70.24/9.54 res_num_in_passive: 0
% 70.24/9.54 res_num_in_active: 0
% 70.24/9.54 res_num_of_loops: 117
% 70.24/9.54 res_forward_subset_subsumed: 2391
% 70.24/9.54 res_backward_subset_subsumed: 0
% 70.24/9.54 res_forward_subsumed: 0
% 70.24/9.54 res_backward_subsumed: 0
% 70.24/9.54 res_forward_subsumption_resolution: 0
% 70.24/9.54 res_backward_subsumption_resolution: 0
% 70.24/9.54 res_clause_to_clause_subsumption: 194
% 70.24/9.54 res_subs_bck_cnt: 1
% 70.24/9.54 res_orphan_elimination: 0
% 70.24/9.54 res_tautology_del: 1406
% 70.24/9.54 res_num_eq_res_simplified: 0
% 70.24/9.54 res_num_sel_changes: 0
% 70.24/9.54 res_moves_from_active_to_pass: 0
% 70.24/9.54
% 70.24/9.54 res_time_sim_new: 0.001
% 70.24/9.54 res_time_sim_fw_given: 0.001
% 70.24/9.54 res_time_sim_bw_given: 0.001
% 70.24/9.54 res_time_total: 0.002
% 70.24/9.54
% 70.24/9.54 ------ Superposition
% 70.24/9.54
% 70.24/9.54 sup_num_of_clauses: undef
% 70.24/9.54 sup_num_in_active: undef
% 70.24/9.54 sup_num_in_passive: undef
% 70.24/9.54 sup_num_of_loops: 0
% 70.24/9.54 sup_fw_superposition: 0
% 70.24/9.54 sup_bw_superposition: 0
% 70.24/9.54 sup_eq_factoring: 0
% 70.24/9.54 sup_eq_resolution: 0
% 70.24/9.54 sup_immediate_simplified: 0
% 70.24/9.54 sup_given_eliminated: 0
% 70.24/9.54 comparisons_done: 28
% 70.24/9.54 comparisons_avoided: 0
% 70.24/9.54 comparisons_inc_criteria: 0
% 70.24/9.54 sup_deep_cl_discarded: 0
% 70.24/9.54 sup_num_of_deepenings: 0
% 70.24/9.54 sup_num_of_restarts: 0
% 70.24/9.54
% 70.24/9.54 sup_time_generating: 0.
% 70.24/9.54 sup_time_sim_fw_full: 0.
% 70.24/9.54 sup_time_sim_bw_full: 0.
% 70.24/9.54 sup_time_sim_fw_immed: 0.
% 70.24/9.54 sup_time_sim_bw_immed: 0.
% 70.24/9.54 sup_time_prep_sim_fw_input: 0.
% 70.24/9.54 sup_time_prep_sim_bw_input: 0.
% 70.24/9.54 sup_time_total: 0.
% 70.24/9.54
% 70.24/9.54 ------ Simplifications
% 70.24/9.54
% 70.24/9.54 sim_repeated: 0
% 70.24/9.54 sim_fw_subset_subsumed: 0
% 70.24/9.54 sim_bw_subset_subsumed: 0
% 70.24/9.54 sim_fw_subsumed: 0
% 70.24/9.54 sim_bw_subsumed: 0
% 70.24/9.54 sim_fw_subsumption_res: 0
% 70.24/9.54 sim_bw_subsumption_res: 0
% 70.24/9.54 sim_fw_unit_subs: 0
% 70.24/9.54 sim_bw_unit_subs: 0
% 70.24/9.54 sim_tautology_del: 0
% 70.24/9.54 sim_eq_tautology_del: 0
% 70.24/9.54 sim_eq_res_simp: 0
% 70.24/9.54 sim_fw_demodulated: 1
% 70.24/9.54 sim_bw_demodulated: 0
% 70.24/9.54 sim_encompassment_demod: 0
% 70.24/9.54 sim_light_normalised: 0
% 70.24/9.54 sim_ac_normalised: 0
% 70.24/9.54 sim_joinable_taut: 0
% 70.24/9.54 sim_joinable_simp: 0
% 70.24/9.54 sim_fw_ac_demod: 0
% 70.24/9.54 sim_bw_ac_demod: 0
% 70.24/9.54 sim_smt_subsumption: 0
% 70.24/9.54 sim_smt_simplified: 0
% 70.24/9.54 sim_ground_joinable: 0
% 70.24/9.54 sim_bw_ground_joinable: 0
% 70.24/9.54 sim_connectedness: 0
% 70.24/9.54
% 70.24/9.54 sim_time_fw_subset_subs: 0.
% 70.24/9.54 sim_time_bw_subset_subs: 0.
% 70.24/9.54 sim_time_fw_subs: 0.
% 70.24/9.54 sim_time_bw_subs: 0.
% 70.24/9.54 sim_time_fw_subs_res: 0.
% 70.24/9.54 sim_time_bw_subs_res: 0.
% 70.24/9.54 sim_time_fw_unit_subs: 0.
% 70.24/9.54 sim_time_bw_unit_subs: 0.
% 70.24/9.54 sim_time_tautology_del: 0.
% 70.24/9.54 sim_time_eq_tautology_del: 0.
% 70.24/9.54 sim_time_eq_res_simp: 0.
% 70.24/9.54 sim_time_fw_demod: 0.
% 70.24/9.54 sim_time_bw_demod: 0.
% 70.24/9.54 sim_time_light_norm: 0.
% 70.24/9.54 sim_time_joinable: 0.
% 70.24/9.54 sim_time_ac_norm: 0.
% 70.24/9.54 sim_time_fw_ac_demod: 0.
% 70.24/9.54 sim_time_bw_ac_demod: 0.
% 70.24/9.54 sim_time_smt_subs: 0.
% 70.24/9.54 sim_time_fw_gjoin: 0.
% 70.24/9.54 sim_time_fw_connected: 0.
% 70.24/9.54
% 70.24/9.55
%------------------------------------------------------------------------------