TSTP Solution File: GRA017+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRA017+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 00:03:14 EDT 2023

% Result   : CounterSatisfiable 7.13s 1.67s
% Output   : Model 7.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of less_than 
fof(lit_def,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
    <=> ( ( X0 = n12
          & X1 = n13 )
        | ( X0 = n11
          & X1 = n12 )
        | ( X0 = n11
          & X1 = n13 )
        | ( X0 = n10
          & X1 = n12 )
        | ( X0 = n10
          & X1 = n13 )
        | ( X0 = n10
          & X1 = n11 )
        | ( X0 = n9
          & X1 = n12 )
        | ( X0 = n9
          & X1 = n13 )
        | ( X0 = n9
          & X1 = n11 )
        | ( X0 = n9
          & X1 = n10 )
        | ( X0 = n8
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n8
          & X1 = n9 )
        | ( X0 = n7
          & X1 != n13
          & X1 != n11
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n7
          & X1 = n13 )
        | ( X0 = n7
          & X1 = n11 )
        | ( X0 = n7
          & X1 = n8 )
        | ( X0 = n6
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n6
          & X1 = n13 )
        | ( X0 = n6
          & X1 = n11 )
        | ( X0 = n6
          & X1 = n9 )
        | ( X0 = n6
          & X1 = n8 )
        | ( X0 = n6
          & X1 = n7 )
        | ( X0 = n5
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n5
          & X1 = n13 )
        | ( X0 = n5
          & X1 = n11 )
        | ( X0 = n5
          & X1 = n9 )
        | ( X0 = n5
          & X1 = n8 )
        | ( X0 = n5
          & X1 = n7 )
        | ( X0 = n5
          & X1 = n6 )
        | ( X0 = n4
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n4
          & X1 = n8 )
        | ( X0 = n4
          & X1 = n7 )
        | ( X0 = n4
          & X1 = n6 )
        | ( X0 = n4
          & X1 = n5 )
        | ( X0 = n3
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n3
          & X1 = n12 )
        | ( X0 = n3
          & X1 = n13 )
        | ( X0 = n3
          & X1 = n11 )
        | ( X0 = n3
          & X1 = n9 )
        | ( X0 = n3
          & X1 = n8 )
        | ( X0 = n3
          & X1 = n7 )
        | ( X0 = n3
          & X1 = n6 )
        | ( X0 = n3
          & X1 = n5 )
        | ( X0 = n3
          & X1 = n4 )
        | ( X0 = n2
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n2
          & X1 = n12 )
        | ( X0 = n2
          & X1 = n13 )
        | ( X0 = n2
          & X1 = n11 )
        | ( X0 = n2
          & X1 = n9 )
        | ( X0 = n2
          & X1 = n8 )
        | ( X0 = n2
          & X1 = n7 )
        | ( X0 = n2
          & X1 = n6 )
        | ( X0 = n2
          & X1 = n5 )
        | ( X0 = n2
          & X1 = n4 )
        | ( X0 = n2
          & X1 = n3 )
        | ( X0 = n1
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n1 )
        | ( X0 = n1
          & X1 = n12 )
        | ( X0 = n1
          & X1 = n13 )
        | ( X0 = n1
          & X1 = n11 )
        | ( X0 = n1
          & X1 = n9 )
        | ( X0 = n1
          & X1 = n8 )
        | ( X0 = n1
          & X1 = n7 )
        | ( X0 = n1
          & X1 = n6 )
        | ( X0 = n1
          & X1 = n5 )
        | ( X0 = n1
          & X1 = n4 )
        | ( X0 = n1
          & X1 = n3 )
        | ( X0 = n1
          & X1 = n2 ) ) ) ).

%------ Positive definition of goal 
fof(lit_def_001,axiom,
    ( goal
  <=> $false ) ).

%------ Positive definition of red 
fof(lit_def_002,axiom,
    ! [X0,X1] :
      ( red(X0,X1)
    <=> ( ( X0 = n10
          & X1 = n11 )
        | ( X0 = n9
          & X1 = n13 )
        | ( X0 = n8
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n10
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n8
          & X1 = n12 )
        | ( X0 = n8
          & X1 = n13 )
        | ( X0 = n8
          & X1 = n11 )
        | ( X0 = n8
          & X1 = n10 )
        | ( X0 = n7
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n10
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n7
          & X1 = n12 )
        | ( X0 = n7
          & X1 = n11 )
        | ( X0 = n7
          & X1 = n10 )
        | ( X0 = n7
          & X1 = n9 )
        | ( X0 = n6
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n10
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n6
          & X1 = n12 )
        | ( X0 = n6
          & X1 = n10 )
        | ( X0 = n5
          & X1 = n12 )
        | ( X0 = n5
          & X1 = n13 )
        | ( X0 = n5
          & X1 = n11 )
        | ( X0 = n5
          & X1 = n9 )
        | ( X0 = n5
          & X1 = n8 )
        | ( X0 = n5
          & X1 = n7 )
        | ( X0 = n4
          & X1 = n12 )
        | ( X0 = n4
          & X1 = n13 )
        | ( X0 = n4
          & X1 = n11 )
        | ( X0 = n4
          & X1 = n9 )
        | ( X0 = n4
          & X1 = n8 )
        | ( X0 = n4
          & X1 = n7 )
        | ( X0 = n4
          & X1 = n6 )
        | ( X0 = n3
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n3
          & X1 = n12 )
        | ( X0 = n3
          & X1 = n13 )
        | ( X0 = n3
          & X1 = n9 )
        | ( X0 = n3
          & X1 = n8 )
        | ( X0 = n2
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n2
          & X1 = n11 )
        | ( X0 = n2
          & X1 = n9 )
        | ( X0 = n2
          & X1 = n6 )
        | ( X0 = n2
          & X1 = n5 )
        | ( X0 = n2
          & X1 = n4 )
        | ( X0 = n2
          & X1 = n3 )
        | ( X0 = n1
          & X1 = n12 )
        | ( X0 = n1
          & X1 = n6 )
        | ( X0 = n1
          & X1 = n5 )
        | ( X0 = n1
          & X1 = n3 )
        | ( X0 = n1
          & X1 = n2 ) ) ) ).

%------ Positive definition of green 
fof(lit_def_003,axiom,
    ! [X0,X1] :
      ( green(X0,X1)
    <=> ( ( X0 = n12
          & X1 = n13 )
        | ( X0 = n11
          & X1 = n12 )
        | ( X0 = n11
          & X1 = n13 )
        | ( X0 = n10
          & X1 = n12 )
        | ( X0 = n10
          & X1 = n13 )
        | ( X0 = n9
          & X1 = n12 )
        | ( X0 = n9
          & X1 = n11 )
        | ( X0 = n9
          & X1 = n10 )
        | ( X0 = n8
          & X1 = n9 )
        | ( X0 = n7
          & X1 = n13 )
        | ( X0 = n7
          & X1 = n8 )
        | ( X0 = n6
          & X1 = n13 )
        | ( X0 = n6
          & X1 = n11 )
        | ( X0 = n6
          & X1 = n9 )
        | ( X0 = n6
          & X1 = n8 )
        | ( X0 = n6
          & X1 = n7 )
        | ( X0 = n5
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n10
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n5
          & X1 = n10 )
        | ( X0 = n5
          & X1 = n6 )
        | ( X0 = n4
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n10
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n4
          & X1 = n10 )
        | ( X0 = n4
          & X1 = n5 )
        | ( X0 = n3
          & X1 = n11 )
        | ( X0 = n3
          & X1 = n7 )
        | ( X0 = n3
          & X1 = n6 )
        | ( X0 = n3
          & X1 = n5 )
        | ( X0 = n3
          & X1 = n4 )
        | ( X0 = n2
          & X1 = n12 )
        | ( X0 = n2
          & X1 = n13 )
        | ( X0 = n2
          & X1 = n8 )
        | ( X0 = n2
          & X1 = n7 )
        | ( X0 = n1
          & X1 != n12
          & X1 != n13
          & X1 != n11
          & X1 != n10
          & X1 != n9
          & X1 != n8
          & X1 != n7
          & X1 != n6
          & X1 != n5
          & X1 != n4
          & X1 != n3
          & X1 != n2
          & X1 != n1 )
        | ( X0 = n1
          & X1 = n13 )
        | ( X0 = n1
          & X1 = n11 )
        | ( X0 = n1
          & X1 = n10 )
        | ( X0 = n1
          & X1 = n9 )
        | ( X0 = n1
          & X1 = n8 )
        | ( X0 = n1
          & X1 = n7 )
        | ( X0 = n1
          & X1 = n4 ) ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRA017+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.18/0.35  % Computer : n013.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Sun Aug 27 03:09:47 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.13/1.67  % SZS status Started for theBenchmark.p
% 7.13/1.67  % SZS status CounterSatisfiable for theBenchmark.p
% 7.13/1.67  
% 7.13/1.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.13/1.67  
% 7.13/1.67  ------  iProver source info
% 7.13/1.67  
% 7.13/1.67  git: date: 2023-05-31 18:12:56 +0000
% 7.13/1.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.13/1.67  git: non_committed_changes: false
% 7.13/1.67  git: last_make_outside_of_git: false
% 7.13/1.67  
% 7.13/1.67  ------ Parsing...
% 7.13/1.67  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.13/1.67  
% 7.13/1.67  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 7.13/1.67   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.13/1.67  ------ Proving...
% 7.13/1.67  ------ Problem Properties 
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  clauses                                 17
% 7.13/1.67  conjectures                             0
% 7.13/1.67  EPR                                     17
% 7.13/1.67  Horn                                    16
% 7.13/1.67  unary                                   12
% 7.13/1.67  binary                                  1
% 7.13/1.67  lits                                    32
% 7.13/1.67  lits eq                                 0
% 7.13/1.67  fd_pure                                 0
% 7.13/1.67  fd_pseudo                               0
% 7.13/1.67  fd_cond                                 0
% 7.13/1.67  fd_pseudo_cond                          0
% 7.13/1.67  AC symbols                              0
% 7.13/1.67  
% 7.13/1.67  ------ Schedule EPR non Horn non eq is on
% 7.13/1.67  
% 7.13/1.67  ------ no conjectures: strip conj schedule 
% 7.13/1.67  
% 7.13/1.67  ------ no equalities: superposition off 
% 7.13/1.67  
% 7.13/1.67  ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  ------ 
% 7.13/1.67  Current options:
% 7.13/1.67  ------ 
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  ------ Proving...
% 7.13/1.67  
% 7.13/1.67  
% 7.13/1.67  % SZS status CounterSatisfiable for theBenchmark.p
% 7.13/1.67  
% 7.13/1.67  ------ Building Model...Done
% 7.13/1.67  
% 7.13/1.67  %------ The model is defined over ground terms (initial term algebra).
% 7.13/1.67  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 7.13/1.67  %------ where \phi is a formula over the term algebra.
% 7.13/1.67  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 7.13/1.67  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 7.13/1.67  %------ See help for --sat_out_model for different model outputs.
% 7.13/1.67  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 7.13/1.67  %------ where the first argument stands for the sort ($i in the unsorted case)
% 7.13/1.67  % SZS output start Model for theBenchmark.p
% See solution above
% 7.13/1.68  
%------------------------------------------------------------------------------