TSTP Solution File: RNG110+1 by iProver-SAT---3.8
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%------------------------------------------------------------------------------
% File : iProver-SAT---3.8
% Problem : RNG110+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% Computer : n013.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 13:56:00 EDT 2023
% Result : CounterSatisfiable 3.23s 1.14s
% Output : Model 3.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG110+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d SAT
% 0.12/0.35 % Computer : n013.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 02:57:47 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.47 Running model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.23/1.14 % SZS status Started for theBenchmark.p
% 3.23/1.14 % SZS status CounterSatisfiable for theBenchmark.p
% 3.23/1.14
% 3.23/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.23/1.14
% 3.23/1.14 ------ iProver source info
% 3.23/1.14
% 3.23/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.23/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.23/1.14 git: non_committed_changes: false
% 3.23/1.14 git: last_make_outside_of_git: false
% 3.23/1.14
% 3.23/1.14 ------ Parsing...
% 3.23/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.23/1.14
% 3.23/1.14 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.23/1.14
% 3.23/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.23/1.14
% 3.23/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.23/1.14 ------ Proving...
% 3.23/1.14 ------ Problem Properties
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14 clauses 99
% 3.23/1.14 conjectures 2
% 3.23/1.14 EPR 21
% 3.23/1.14 Horn 75
% 3.23/1.14 unary 14
% 3.23/1.14 binary 16
% 3.23/1.14 lits 340
% 3.23/1.14 lits eq 49
% 3.23/1.14 fd_pure 0
% 3.23/1.14 fd_pseudo 0
% 3.23/1.14 fd_cond 5
% 3.23/1.14 fd_pseudo_cond 11
% 3.23/1.14 AC symbols 0
% 3.23/1.14
% 3.23/1.14 ------ Input Options Time Limit: Unbounded
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14 ------ Finite Models:
% 3.23/1.14
% 3.23/1.14 ------ lit_activity_flag true
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14 ------ Trying domains of size >= : 1
% 3.23/1.14
% 3.23/1.14 ------ Trying domains of size >= : 2
% 3.23/1.14 ------
% 3.23/1.14 Current options:
% 3.23/1.14 ------
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14 ------ Proving...
% 3.23/1.14
% 3.23/1.14
% 3.23/1.14 % SZS status CounterSatisfiable for theBenchmark.p
% 3.23/1.14
% 3.23/1.14 ------ Building Model...Done
% 3.23/1.14
% 3.23/1.14 %------ The model is defined over ground terms (initial term algebra).
% 3.23/1.14 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 3.23/1.14 %------ where \phi is a formula over the term algebra.
% 3.23/1.14 %------ If we have equality in the problem then it is also defined as a predicate above,
% 3.23/1.14 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.23/1.14 %------ See help for --sat_out_model for different model outputs.
% 3.23/1.14 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.23/1.14 %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.23/1.14 % SZS output start Model for theBenchmark.p
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of equality_sorted
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0_12,X0_1,X1_1] :
% 3.23/1.14 ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of aElement0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( aElement0(X0) <=>
% 3.23/1.14 $true
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of aElementOf0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( ~(aElementOf0(X0,X1)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of aSet0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( aSet0(X0) <=>
% 3.23/1.14 $true
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of sP0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( ~(sP0(X0,X1,X2)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of aIdeal0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( aIdeal0(X0) <=>
% 3.23/1.14 $true
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of sdteqdtlpzmzozddtrp0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( sdteqdtlpzmzozddtrp0(X0,X1,X2) <=>
% 3.23/1.14 $false
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of doDivides0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( doDivides0(X0,X1) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of aDivisorOf0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( ~(aDivisorOf0(X0,X1)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of aGcdOfAnd0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( aGcdOfAnd0(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sz00
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_sz00(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sz10
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_sz10(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_smndt0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( iProver_Flat_smndt0(X0,X1) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sdtpldt0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sdtpldt0(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sdtasdt0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sdtasdt0(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK2
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK2(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK3
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK3(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sdtpldt1
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sdtpldt1(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK4
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( iProver_Flat_sK4(X0,X1,X2,X3) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK5
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( iProver_Flat_sK5(X0,X1,X2,X3) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of iProver_Flat_sK6
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( ~(iProver_Flat_sK6(X0,X1,X2,X3)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK7
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( iProver_Flat_sK7(X0,X1,X2,X3) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of iProver_Flat_sK8
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( ~(iProver_Flat_sK8(X0,X1,X2,X3)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sdtasasdt0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sdtasasdt0(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK9
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( iProver_Flat_sK9(X0,X1,X2,X3) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of iProver_Flat_sK11
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( ~(iProver_Flat_sK11(X0,X1)) <=>
% 3.23/1.14 $false
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK10
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( iProver_Flat_sK10(X0,X1) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK12
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( iProver_Flat_sK12(X0,X1) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of iProver_Flat_sK13
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3,X4] :
% 3.23/1.14 ( ~(iProver_Flat_sK13(X0,X1,X2,X3,X4)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X4!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X4=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X2=iProver_Domain_i_1 & X4=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK14
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK14(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK15
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK15(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK16
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK16(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK17
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK17(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Negative definition of iProver_Flat_sK18
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2,X3] :
% 3.23/1.14 ( ~(iProver_Flat_sK18(X0,X1,X2,X3)) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X0!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X2!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_slsdtgt0
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1] :
% 3.23/1.14 ( iProver_Flat_slsdtgt0(X0,X1) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK19
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK19(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK20
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK20(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK21
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0,X1,X2] :
% 3.23/1.14 ( iProver_Flat_sK21(X0,X1,X2) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 &
% 3.23/1.14 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 |
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_xb
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_xb(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_xa
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_xa(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_xc
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_xc(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_xI
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_xI(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_2 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK22
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_sK22(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14
% 3.23/1.14 %------ Positive definition of iProver_Flat_sK23
% 3.23/1.14 fof(lit_def,axiom,
% 3.23/1.14 (! [X0] :
% 3.23/1.14 ( iProver_Flat_sK23(X0) <=>
% 3.23/1.14 (
% 3.23/1.14 (
% 3.23/1.14 ( X0=iProver_Domain_i_1 )
% 3.23/1.14 )
% 3.23/1.14
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 )
% 3.23/1.14 ).
% 3.23/1.14 % SZS output end Model for theBenchmark.p
% 3.23/1.14 ------ Statistics
% 3.23/1.14
% 3.23/1.14 ------ Selected
% 3.23/1.14
% 3.23/1.14 sim_connectedness: 0
% 3.23/1.14 total_time: 0.288
% 3.23/1.14 inst_time_total: 0.113
% 3.23/1.14 res_time_total: 0.008
% 3.23/1.14 sup_time_total: 0.
% 3.23/1.14 sim_time_fw_connected: 0.
% 3.23/1.14
%------------------------------------------------------------------------------