TSTP Solution File: MGT038+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT038+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 09:14:31 EDT 2023

% Result   : CounterSatisfiable 24.68s 4.20s
% Output   : Model 24.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT038+2 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 06:57:25 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.68/4.20  % SZS status Started for theBenchmark.p
% 24.68/4.20  % SZS status CounterSatisfiable for theBenchmark.p
% 24.68/4.20  
% 24.68/4.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.68/4.20  
% 24.68/4.20  ------  iProver source info
% 24.68/4.20  
% 24.68/4.20  git: date: 2023-05-31 18:12:56 +0000
% 24.68/4.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.68/4.20  git: non_committed_changes: false
% 24.68/4.20  git: last_make_outside_of_git: false
% 24.68/4.20  
% 24.68/4.20  ------ Parsing...
% 24.68/4.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 24.68/4.20  
% 24.68/4.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 24.68/4.20  
% 24.68/4.20  ------ Preprocessing...
% 24.68/4.20  
% 24.68/4.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 24.68/4.20  ------ Proving...
% 24.68/4.20  ------ Problem Properties 
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  clauses                                 27
% 24.68/4.20  conjectures                             1
% 24.68/4.20  EPR                                     6
% 24.68/4.20  Horn                                    19
% 24.68/4.20  unary                                   7
% 24.68/4.20  binary                                  3
% 24.68/4.20  lits                                    73
% 24.68/4.20  lits eq                                 4
% 24.68/4.20  fd_pure                                 0
% 24.68/4.20  fd_pseudo                               0
% 24.68/4.20  fd_cond                                 0
% 24.68/4.20  fd_pseudo_cond                          2
% 24.68/4.20  AC symbols                              0
% 24.68/4.20  
% 24.68/4.20  ------ Input Options Time Limit: Unbounded
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  ------ 
% 24.68/4.20  Current options:
% 24.68/4.20  ------ 
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  ------ Proving...
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  ------ Proving...
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  ------ Proving...
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  ------ Proving...
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  ------ Proving...
% 24.68/4.20  
% 24.68/4.20  
% 24.68/4.20  % SZS status CounterSatisfiable for theBenchmark.p
% 24.68/4.20  
% 24.68/4.20  ------ Building Model...Done
% 24.68/4.20  
% 24.68/4.20  %------ The model is defined over ground terms (initial term algebra).
% 24.68/4.20  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 24.68/4.20  %------ where \phi is a formula over the term algebra.
% 24.68/4.20  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 24.68/4.20  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 24.68/4.20  %------ See help for --sat_out_model for different model outputs.
% 24.68/4.20  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 24.68/4.20  %------ where the first argument stands for the sort ($i in the unsorted case)
% 24.68/4.20  % SZS output start Model for theBenchmark.p
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of equality_sorted 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0_12,X0_1,X1_1] : 
% 24.68/4.20        ( equality_sorted(X0_12,X0_1,X1_1) <=>
% 24.68/4.20             (
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$o & X1_1=X0_1 )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=zero )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=s )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=zero )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=sK6 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_sK0_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_growth_rate_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_appear_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_sK2_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_cardinality_at_time_0_1(first_movers) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_cardinality_at_time_0_1(X1) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=zero & X1=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(first_movers) & X1=arAF0_cardinality_at_time_0_1(first_movers) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20              ? [X2] : 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(first_movers) & X1=arAF0_cardinality_at_time_0_1(X2) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=first_movers )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=s )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=s )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=zero )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=sK6 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_sK0_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_growth_rate_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_appear_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_sK2_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_cardinality_at_time_0_1(first_movers) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_cardinality_at_time_0_1(X1) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X1!=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(s) & X1=zero )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(s) & X1=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20              ? [X2] : 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(X2) & X1=arAF0_cardinality_at_time_0_1(first_movers) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=first_movers )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=s )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20              ? [X2,X3] : 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X0=arAF0_cardinality_at_time_0_1(X2) & X1=arAF0_cardinality_at_time_0_1(X3) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=first_movers )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=first_movers | X3!=s )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=s )
% 24.68/4.20                 &
% 24.68/4.20                  ( X2!=s | X3!=first_movers )
% 24.68/4.20                 &
% 24.68/4.20                  ( X3!=first_movers )
% 24.68/4.20                 &
% 24.68/4.20                  ( X3!=s )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X1=zero )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=s )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=sK6 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_sK0_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_growth_rate_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_appear_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_sK2_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_cardinality_at_time_0_1(first_movers) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_cardinality_at_time_0_1(X0) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20               | 
% 24.68/4.20                (
% 24.68/4.20                  ( X0_12=$i & X1=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=s )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=zero )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=sK6 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_sK0_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_growth_rate_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_appear_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_sK2_0 )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_cardinality_at_time_0_1(first_movers) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_cardinality_at_time_0_1(X0) )
% 24.68/4.20                 &
% 24.68/4.20                  ( X0!=arAF0_cardinality_at_time_0_1(s) )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20             )
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of finite_set 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( finite_set(X0) <=>
% 24.68/4.20            $false
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of stable 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( stable(X0) <=>
% 24.68/4.20            $false
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of environment 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( environment(X0) <=>
% 24.68/4.20            $false
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of arAF0_greater_0_1 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( arAF0_greater_0_1(X0) <=>
% 24.68/4.20            $true
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of arAF0_in_environment_0_1 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( arAF0_in_environment_0_1(X0) <=>
% 24.68/4.20             (
% 24.68/4.20                (
% 24.68/4.20                  ( X0=sK6 )
% 24.68/4.20                )
% 24.68/4.20  
% 24.68/4.20             )
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Negative definition of arAF0_greater_or_equal_0_1 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( ~(arAF0_greater_or_equal_0_1(X0)) <=>
% 24.68/4.20            $false
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Positive definition of arAF0_contracts_from_0_1 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( arAF0_contracts_from_0_1(X0) <=>
% 24.68/4.20            $true
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  
% 24.68/4.20  %------ Negative definition of arAF0_subpopulations_0_1 
% 24.68/4.20  fof(lit_def,axiom,
% 24.68/4.20      (! [X0] : 
% 24.68/4.20        ( ~(arAF0_subpopulations_0_1(X0)) <=>
% 24.68/4.20            $false
% 24.68/4.20        )
% 24.68/4.20      )
% 24.68/4.20     ).
% 24.68/4.20  % SZS output end Model for theBenchmark.p
% 24.68/4.20  
%------------------------------------------------------------------------------