TSTP Solution File: SWW902+1 by iProver-SAT---3.8
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%------------------------------------------------------------------------------
% File : iProver-SAT---3.8
% Problem : SWW902+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% Computer : n009.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 00:43:53 EDT 2023
% Result : CounterSatisfiable 27.80s 4.18s
% Output : Model 27.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.16 % Problem : SWW902+1 : TPTP v8.1.2. Released v7.3.0.
% 0.05/0.17 % Command : run_iprover %s %d SAT
% 0.16/0.38 % Computer : n009.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun Aug 27 17:36:20 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.50 Running model finding
% 0.23/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.80/4.18 % SZS status Started for theBenchmark.p
% 27.80/4.18 % SZS status CounterSatisfiable for theBenchmark.p
% 27.80/4.18
% 27.80/4.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 27.80/4.18
% 27.80/4.18 ------ iProver source info
% 27.80/4.18
% 27.80/4.18 git: date: 2023-05-31 18:12:56 +0000
% 27.80/4.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 27.80/4.18 git: non_committed_changes: false
% 27.80/4.18 git: last_make_outside_of_git: false
% 27.80/4.18
% 27.80/4.18 ------ Parsing...
% 27.80/4.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 27.80/4.18
% 27.80/4.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 27.80/4.18
% 27.80/4.18 ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e
% 27.80/4.18
% 27.80/4.18 ------ Preprocessing... sf_s rm: 7 0s sf_e sf_s rm: 0 0s sf_e
% 27.80/4.18 ------ Proving...
% 27.80/4.18 ------ Problem Properties
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 clauses 50
% 27.80/4.18 conjectures 2
% 27.80/4.18 EPR 4
% 27.80/4.18 Horn 39
% 27.80/4.18 unary 11
% 27.80/4.18 binary 22
% 27.80/4.18 lits 113
% 27.80/4.18 lits eq 53
% 27.80/4.18 fd_pure 0
% 27.80/4.18 fd_pseudo 0
% 27.80/4.18 fd_cond 0
% 27.80/4.18 fd_pseudo_cond 0
% 27.80/4.18 AC symbols 0
% 27.80/4.18
% 27.80/4.18 ------ Input Options Time Limit: Unbounded
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Finite Models:
% 27.80/4.18
% 27.80/4.18 ------ lit_activity_flag true
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 1
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18 ------
% 27.80/4.18 Current options:
% 27.80/4.18 ------
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18 ------ Trying domains of size >= : 2
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 ------ Proving...
% 27.80/4.18
% 27.80/4.18
% 27.80/4.18 % SZS status CounterSatisfiable for theBenchmark.p
% 27.80/4.18
% 27.80/4.18 ------ Building Model...Done
% 27.80/4.18
% 27.80/4.18 %------ The model is defined over ground terms (initial term algebra).
% 27.80/4.18 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 27.80/4.18 %------ where \phi is a formula over the term algebra.
% 27.80/4.18 %------ If we have equality in the problem then it is also defined as a predicate above,
% 27.80/4.18 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 27.80/4.18 %------ See help for --sat_out_model for different model outputs.
% 27.80/4.18 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 27.80/4.18 %------ where the first argument stands for the sort ($i in the unsorted case)
% 27.80/4.18 % SZS output start Model for theBenchmark.p
% 27.80/4.18
% 27.80/4.18 %------ Negative definition of equality_sorted
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0_12,X0_1,X1_1] :
% 27.80/4.18 ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Negative definition of p__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( ~(p__01(X0)) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of sP0_iProver_split
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 ( sP0_iProver_split <=>
% 27.80/4.18 $true
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of sP1_iProver_split
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 ( sP1_iProver_split <=>
% 27.80/4.18 $false
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of sP2_iProver_split
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 ( sP2_iProver_split <=>
% 27.80/4.18 $false
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of sP3_iProver_split
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 ( sP3_iProver_split <=>
% 27.80/4.18 $true
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of sP4_iProver_split
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 ( sP4_iProver_split <=>
% 27.80/4.18 $false
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of sP5_iProver_split
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 ( sP5_iProver_split <=>
% 27.80/4.18 $false
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_cbool__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_cbool__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_cT__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_cT__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_s__02
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_s__02(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_cF__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_cF__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_cfun__02
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_cfun__02(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK0
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2,X3,X4] :
% 27.80/4.18 ( iProver_Flat_sK0(X0,X1,X2,X3,X4) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_chapp__02
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_chapp__02(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Negative definition of iProver_Flat_c_27const_2ebool_2eCOND_27__03
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2,X3] :
% 27.80/4.18 ( ~(iProver_Flat_c_27const_2ebool_2eCOND_27__03(X0,X1,X2,X3)) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X3!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X3!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27type_2eoption_2eoption_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27type_2eoption_2eoption_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2eoption_2eNONE_27__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_c_27const_2eoption_2eNONE_27__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2eoption_2eSOME_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27const_2eoption_2eSOME_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2eoption_2eIS__SOME_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27const_2eoption_2eIS__SOME_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2eoption_2eIS__NONE_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27const_2eoption_2eIS__NONE_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27type_2elist_2elist_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27type_2elist_2elist_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2elist_2eCONS_27__02
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_c_27const_2elist_2eCONS_27__02(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Negative definition of iProver_Flat_c_27const_2elist_2eFOLDR_27__03
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2,X3] :
% 27.80/4.18 ( ~(iProver_Flat_c_27const_2elist_2eFOLDR_27__03(X0,X1,X2,X3)) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X3!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X3=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X3=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2elist_2eNIL_27__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_c_27const_2elist_2eNIL_27__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK2
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_sK2(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK1
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_sK1(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27type_2esptree_2espt_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27type_2esptree_2espt_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27type_2enum_2enum_27__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_c_27type_2enum_2enum_27__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2esptree_2edelete_27__00
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_c_27const_2esptree_2edelete_27__00(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2esptree_2ewf_27__01
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1] :
% 27.80/4.18 ( iProver_Flat_c_27const_2esptree_2ewf_27__01(X0,X1) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2esptree_2elookup_27__02
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_c_27const_2esptree_2elookup_27__02(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK3
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2,X3,X4] :
% 27.80/4.18 ( iProver_Flat_sK3(X0,X1,X2,X3,X4) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK4
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2,X3] :
% 27.80/4.18 ( iProver_Flat_sK4(X0,X1,X2,X3) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_c_27const_2ereg__alloc_2enumset__list__delete_27__02
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0,X1,X2] :
% 27.80/4.18 ( iProver_Flat_c_27const_2ereg__alloc_2enumset__list__delete_27__02(X0,X1,X2) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X2!=iProver_Domain_i_2 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 |
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 27.80/4.18 &
% 27.80/4.18 ( X1!=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK5
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_sK5(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK7
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_sK7(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18
% 27.80/4.18 %------ Positive definition of iProver_Flat_sK6
% 27.80/4.18 fof(lit_def,axiom,
% 27.80/4.18 (! [X0] :
% 27.80/4.18 ( iProver_Flat_sK6(X0) <=>
% 27.80/4.18 (
% 27.80/4.18 (
% 27.80/4.18 ( X0=iProver_Domain_i_1 )
% 27.80/4.18 )
% 27.80/4.18
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 )
% 27.80/4.18 ).
% 27.80/4.18 % SZS output end Model for theBenchmark.p
% 27.80/4.18 ------ Statistics
% 27.80/4.18
% 27.80/4.18 ------ Problem properties
% 27.80/4.18
% 27.80/4.18 clauses: 50
% 27.80/4.18 conjectures: 2
% 27.80/4.18 epr: 4
% 27.80/4.18 horn: 39
% 27.80/4.18 ground: 8
% 27.80/4.18 unary: 11
% 27.80/4.18 binary: 22
% 27.80/4.18 lits: 113
% 27.80/4.18 lits_eq: 53
% 27.80/4.18 fd_pure: 0
% 27.80/4.18 fd_pseudo: 0
% 27.80/4.18 fd_cond: 0
% 27.80/4.18 fd_pseudo_cond: 0
% 27.80/4.18 ac_symbols: 0
% 27.80/4.18
% 27.80/4.18 ------ General
% 27.80/4.18
% 27.80/4.18 abstr_ref_over_cycles: 0
% 27.80/4.18 abstr_ref_under_cycles: 0
% 27.80/4.18 gc_basic_clause_elim: 0
% 27.80/4.18 num_of_symbols: 218
% 27.80/4.18 num_of_terms: 18195
% 27.80/4.18
% 27.80/4.18 parsing_time: 0.016
% 27.80/4.18 unif_index_cands_time: 0.11
% 27.80/4.18 unif_index_add_time: 0.033
% 27.80/4.18 orderings_time: 0.
% 27.80/4.18 out_proof_time: 0.
% 27.80/4.18 total_time: 3.342
% 27.80/4.18
% 27.80/4.18 ------ Preprocessing
% 27.80/4.18
% 27.80/4.18 num_of_splits: 8
% 27.80/4.18 num_of_split_atoms: 6
% 27.80/4.18 num_of_reused_defs: 2
% 27.80/4.18 num_eq_ax_congr_red: 48
% 27.80/4.18 num_of_sem_filtered_clauses: 7
% 27.80/4.18 num_of_subtypes: 0
% 27.80/4.18 monotx_restored_types: 0
% 27.80/4.18 sat_num_of_epr_types: 0
% 27.80/4.18 sat_num_of_non_cyclic_types: 0
% 27.80/4.18 sat_guarded_non_collapsed_types: 0
% 27.80/4.18 num_pure_diseq_elim: 0
% 27.80/4.18 simp_replaced_by: 0
% 27.80/4.18 res_preprocessed: 0
% 27.80/4.18 sup_preprocessed: 0
% 27.80/4.18 prep_upred: 0
% 27.80/4.18 prep_unflattend: 0
% 27.80/4.18 prep_well_definedness: 0
% 27.80/4.18 smt_new_axioms: 0
% 27.80/4.18 pred_elim_cands: 1
% 27.80/4.18 pred_elim: 0
% 27.80/4.18 pred_elim_cl: 0
% 27.80/4.18 pred_elim_cycles: 2
% 27.80/4.18 merged_defs: 16
% 27.80/4.18 merged_defs_ncl: 0
% 27.80/4.18 bin_hyper_res: 16
% 27.80/4.18 prep_cycles: 4
% 27.80/4.18
% 27.80/4.18 splitting_time: 0.
% 27.80/4.18 sem_filter_time: 0.007
% 27.80/4.18 monotx_time: 0.
% 27.80/4.18 subtype_inf_time: 0.
% 27.80/4.18 res_prep_time: 0.022
% 27.80/4.18 sup_prep_time: 0.014
% 27.80/4.18 pred_elim_time: 0.001
% 27.80/4.18 bin_hyper_res_time: 0.003
% 27.80/4.18 prep_time_total: 0.057
% 27.80/4.18
% 27.80/4.18 ------ Propositional Solver
% 27.80/4.18
% 27.80/4.18 prop_solver_calls: 165
% 27.80/4.18 prop_fast_solver_calls: 1580
% 27.80/4.18 smt_solver_calls: 0
% 27.80/4.18 smt_fast_solver_calls: 0
% 27.80/4.18 prop_num_of_clauses: 12720
% 27.80/4.18 prop_preprocess_simplified: 37205
% 27.80/4.18 prop_fo_subsumed: 23
% 27.80/4.18
% 27.80/4.18 prop_solver_time: 0.089
% 27.80/4.18 prop_fast_solver_time: 0.001
% 27.80/4.18 prop_unsat_core_time: 0.006
% 27.80/4.18 smt_solver_time: 0.
% 27.80/4.18 smt_fast_solver_time: 0.
% 27.80/4.18
% 27.80/4.18 ------ QBF
% 27.80/4.18
% 27.80/4.18 qbf_q_res: 0
% 27.80/4.18 qbf_num_tautologies: 0
% 27.80/4.18 qbf_prep_cycles: 0
% 27.80/4.18
% 27.80/4.18 ------ BMC1
% 27.80/4.18
% 27.80/4.18 bmc1_current_bound: -1
% 27.80/4.18 bmc1_last_solved_bound: -1
% 27.80/4.18 bmc1_unsat_core_size: -1
% 27.80/4.18 bmc1_unsat_core_parents_size: -1
% 27.80/4.18 bmc1_merge_next_fun: 0
% 27.80/4.18
% 27.80/4.18 bmc1_unsat_core_clauses_time: 0.
% 27.80/4.18
% 27.80/4.18 ------ Instantiation
% 27.80/4.18
% 27.80/4.18 inst_num_of_clauses: 2083
% 27.80/4.18 inst_num_in_passive: 0
% 27.80/4.18 inst_num_in_active: 10000
% 27.80/4.18 inst_num_of_loops: 13923
% 27.80/4.18 inst_num_in_unprocessed: 0
% 27.80/4.18 inst_num_of_learning_restarts: 2
% 27.80/4.18 inst_num_moves_active_passive: 3681
% 27.80/4.18 inst_lit_activity: 0
% 27.80/4.18 inst_lit_activity_moves: 0
% 27.80/4.18 inst_num_tautologies: 0
% 27.80/4.18 inst_num_prop_implied: 0
% 27.80/4.18 inst_num_existing_simplified: 0
% 27.80/4.18 inst_num_eq_res_simplified: 0
% 27.80/4.18 inst_num_child_elim: 0
% 27.80/4.18 inst_num_of_dismatching_blockings: 6851
% 27.80/4.18 inst_num_of_non_proper_insts: 16541
% 27.80/4.18 inst_num_of_duplicates: 0
% 27.80/4.18 inst_inst_num_from_inst_to_res: 0
% 27.80/4.18
% 27.80/4.18 inst_time_sim_new: 0.999
% 27.80/4.18 inst_time_sim_given: 0.001
% 27.80/4.18 inst_time_dismatching_checking: 0.098
% 27.80/4.18 inst_time_total: 3.112
% 27.80/4.18
% 27.80/4.18 ------ Resolution
% 27.80/4.18
% 27.80/4.18 res_num_of_clauses: 58
% 27.80/4.18 res_num_in_passive: 0
% 27.80/4.18 res_num_in_active: 0
% 27.80/4.18 res_num_of_loops: 215
% 27.80/4.18 res_forward_subset_subsumed: 37
% 27.80/4.18 res_backward_subset_subsumed: 0
% 27.80/4.18 res_forward_subsumed: 0
% 27.80/4.18 res_backward_subsumed: 1
% 27.80/4.18 res_forward_subsumption_resolution: 0
% 27.80/4.18 res_backward_subsumption_resolution: 1
% 27.80/4.18 res_clause_to_clause_subsumption: 899
% 27.80/4.18 res_subs_bck_cnt: 8
% 27.80/4.18 res_orphan_elimination: 0
% 27.80/4.18 res_tautology_del: 439
% 27.80/4.18 res_num_eq_res_simplified: 0
% 27.80/4.18 res_num_sel_changes: 0
% 27.80/4.18 res_moves_from_active_to_pass: 0
% 27.80/4.18
% 27.80/4.18 res_time_sim_new: 0.004
% 27.80/4.18 res_time_sim_fw_given: 0.009
% 27.80/4.18 res_time_sim_bw_given: 0.005
% 27.80/4.18 res_time_total: 0.004
% 27.80/4.18
% 27.80/4.18 ------ Superposition
% 27.80/4.18
% 27.80/4.18 sup_num_of_clauses: undef
% 27.80/4.18 sup_num_in_active: undef
% 27.80/4.18 sup_num_in_passive: undef
% 27.80/4.18 sup_num_of_loops: 0
% 27.80/4.18 sup_fw_superposition: 0
% 27.80/4.18 sup_bw_superposition: 0
% 27.80/4.18 sup_eq_factoring: 0
% 27.80/4.18 sup_eq_resolution: 0
% 27.80/4.18 sup_immediate_simplified: 0
% 27.80/4.18 sup_given_eliminated: 0
% 27.80/4.18 comparisons_done: 180
% 27.80/4.18 comparisons_avoided: 0
% 27.80/4.18 comparisons_inc_criteria: 0
% 27.80/4.18 sup_deep_cl_discarded: 0
% 27.80/4.18 sup_num_of_deepenings: 0
% 27.80/4.18 sup_num_of_restarts: 0
% 27.80/4.18
% 27.80/4.18 sup_time_generating: 0.
% 27.80/4.18 sup_time_sim_fw_full: 0.
% 27.80/4.18 sup_time_sim_bw_full: 0.
% 27.80/4.18 sup_time_sim_fw_immed: 0.
% 27.80/4.18 sup_time_sim_bw_immed: 0.
% 27.80/4.18 sup_time_prep_sim_fw_input: 0.005
% 27.80/4.18 sup_time_prep_sim_bw_input: 0.008
% 27.80/4.18 sup_time_total: 0.
% 27.80/4.18
% 27.80/4.18 ------ Simplifications
% 27.80/4.18
% 27.80/4.18 sim_repeated: 0
% 27.80/4.18 sim_fw_subset_subsumed: 0
% 27.80/4.18 sim_bw_subset_subsumed: 0
% 27.80/4.18 sim_fw_subsumed: 0
% 27.80/4.18 sim_bw_subsumed: 0
% 27.80/4.18 sim_fw_subsumption_res: 0
% 27.80/4.18 sim_bw_subsumption_res: 0
% 27.80/4.18 sim_fw_unit_subs: 0
% 27.80/4.18 sim_bw_unit_subs: 0
% 27.80/4.18 sim_tautology_del: 0
% 27.80/4.18 sim_eq_tautology_del: 0
% 27.80/4.18 sim_eq_res_simp: 0
% 27.80/4.18 sim_fw_demodulated: 0
% 27.80/4.18 sim_bw_demodulated: 0
% 27.80/4.18 sim_encompassment_demod: 0
% 27.80/4.18 sim_light_normalised: 0
% 27.80/4.18 sim_ac_normalised: 0
% 27.80/4.18 sim_joinable_taut: 0
% 27.80/4.18 sim_joinable_simp: 0
% 27.80/4.18 sim_fw_ac_demod: 0
% 27.80/4.18 sim_bw_ac_demod: 0
% 27.80/4.18 sim_smt_subsumption: 0
% 27.80/4.18 sim_smt_simplified: 0
% 27.80/4.18 sim_ground_joinable: 0
% 27.80/4.18 sim_bw_ground_joinable: 0
% 27.80/4.18 sim_connectedness: 0
% 27.80/4.18
% 27.80/4.18 sim_time_fw_subset_subs: 0.
% 27.80/4.18 sim_time_bw_subset_subs: 0.
% 27.80/4.18 sim_time_fw_subs: 0.
% 27.80/4.18 sim_time_bw_subs: 0.
% 27.80/4.18 sim_time_fw_subs_res: 0.002
% 27.80/4.18 sim_time_bw_subs_res: 0.
% 27.80/4.18 sim_time_fw_unit_subs: 0.
% 27.80/4.18 sim_time_bw_unit_subs: 0.
% 27.80/4.18 sim_time_tautology_del: 0.
% 27.80/4.18 sim_time_eq_tautology_del: 0.
% 27.80/4.18 sim_time_eq_res_simp: 0.
% 27.80/4.18 sim_time_fw_demod: 0.001
% 27.80/4.18 sim_time_bw_demod: 0.
% 27.80/4.18 sim_time_light_norm: 0.
% 27.80/4.18 sim_time_joinable: 0.
% 27.80/4.18 sim_time_ac_norm: 0.
% 27.80/4.18 sim_time_fw_ac_demod: 0.
% 27.80/4.18 sim_time_bw_ac_demod: 0.
% 27.80/4.18 sim_time_smt_subs: 0.
% 27.80/4.18 sim_time_fw_gjoin: 0.
% 27.80/4.18 sim_time_fw_connected: 0.
% 27.80/4.18
% 27.80/4.19
%------------------------------------------------------------------------------