TSTP Solution File: LAT055-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT055-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 06:16:35 EDT 2023

% Result   : Satisfiable 1.19s 1.15s
% Output   : Saturation 1.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    join(n1,X0,n1),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_1_and_x) ).

cnf(c_50,plain,
    join(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_x_and_x) ).

cnf(c_51,plain,
    join(n0,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_0_and_x) ).

cnf(c_52,plain,
    meet(n0,X0,n0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_0_and_x) ).

cnf(c_53,plain,
    meet(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_x_and_x) ).

cnf(c_54,plain,
    meet(n1,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_1_and_x) ).

cnf(c_55,plain,
    ( ~ meet(X0,X1,X2)
    | meet(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_meet) ).

cnf(c_56,plain,
    ( ~ join(X0,X1,X2)
    | join(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_join) ).

cnf(c_57,plain,
    ( ~ meet(X0,X1,X2)
    | join(X0,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion1) ).

cnf(c_58,plain,
    ( ~ join(X0,X1,X2)
    | meet(X0,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion2) ).

cnf(c_60,plain,
    ( ~ meet(X0,X1,X2)
    | ~ meet(X1,X3,X4)
    | ~ meet(X2,X3,X5)
    | meet(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet2) ).

cnf(c_62,plain,
    ( ~ join(X0,X1,X2)
    | ~ join(X1,X3,X4)
    | ~ join(X2,X3,X5)
    | join(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_join2) ).

cnf(c_64,plain,
    ( ~ join(X0,X1,X2)
    | ~ join(X0,X3,X4)
    | ~ meet(X0,X5,X0)
    | ~ meet(X1,X5,X3)
    | meet(X5,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',modularity2) ).

cnf(c_77,plain,
    join_of(n1,X0) = n1,
    inference(well_definedness,[status(thm)],[c_49]) ).

cnf(c_78,plain,
    join_of(X0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_50]) ).

cnf(c_79,plain,
    join_of(n0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_51]) ).

cnf(c_80,plain,
    meet_of(n0,X0) = n0,
    inference(well_definedness,[status(thm)],[c_52]) ).

cnf(c_81,plain,
    meet_of(X0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_53]) ).

cnf(c_82,plain,
    meet_of(n1,X0) = X0,
    inference(well_definedness,[status(thm)],[c_54]) ).

cnf(c_83,plain,
    ( meet_of(X0,X1) != X2
    | meet_of(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_55]) ).

cnf(c_85,plain,
    ( join_of(X0,X1) != X2
    | join_of(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_56]) ).

cnf(c_87,plain,
    ( meet_of(X0,X1) != X2
    | join_of(X0,X2) = X0 ),
    inference(well_definedness,[status(thm)],[c_57]) ).

cnf(c_89,plain,
    ( join_of(X0,X1) != X2
    | meet_of(X0,X2) = X0 ),
    inference(well_definedness,[status(thm)],[c_58]) ).

cnf(c_93,plain,
    ( meet_of(X0,X1) != X2
    | meet_of(X1,X3) != X4
    | meet_of(X2,X3) != X5
    | meet_of(X0,X4) = X5 ),
    inference(well_definedness,[status(thm)],[c_60]) ).

cnf(c_97,plain,
    ( join_of(X0,X1) != X2
    | join_of(X1,X3) != X4
    | join_of(X2,X3) != X5
    | join_of(X0,X4) = X5 ),
    inference(well_definedness,[status(thm)],[c_62]) ).

cnf(c_101,plain,
    ( meet_of(X0,X1) != X0
    | meet_of(X2,X1) != X3
    | join_of(X0,X2) != X4
    | join_of(X0,X3) != X5
    | meet_of(X1,X4) = X5 ),
    inference(well_definedness,[status(thm)],[c_64]) ).

cnf(c_215,plain,
    meet_of(X0,join_of(X0,X1)) = X0,
    inference(unflattening,[status(thm)],[c_89]) ).

cnf(c_216,plain,
    join_of(X0,meet_of(X0,X1)) = X0,
    inference(unflattening,[status(thm)],[c_87]) ).

cnf(c_217,plain,
    join_of(X0,X1) = join_of(X1,X0),
    inference(unflattening,[status(thm)],[c_85]) ).

cnf(c_218,plain,
    meet_of(X0,X1) = meet_of(X1,X0),
    inference(unflattening,[status(thm)],[c_83]) ).

cnf(c_221,plain,
    join_of(join_of(X0,X1),X2) = join_of(X0,join_of(X1,X2)),
    inference(unflattening,[status(thm)],[c_97]) ).

cnf(c_223,plain,
    meet_of(meet_of(X0,X1),X2) = meet_of(X0,meet_of(X1,X2)),
    inference(unflattening,[status(thm)],[c_93]) ).

cnf(c_225,plain,
    ( meet_of(X0,X1) != X0
    | meet_of(X1,join_of(X0,X2)) = join_of(X0,meet_of(X2,X1)) ),
    inference(unflattening,[status(thm)],[c_101]) ).

cnf(c_229,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_230,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_231,plain,
    ( X0 != X1
    | X2 != X3
    | meet_of(X0,X2) = meet_of(X1,X3) ),
    theory(equality) ).

cnf(c_232,plain,
    ( X0 != X1
    | X2 != X3
    | join_of(X0,X2) = join_of(X1,X3) ),
    theory(equality) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT055-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 10:06:54 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.59  WARNING - Could not infer the problem pformat. Setting FOF as default
% 1.19/1.15  % SZS status Started for theBenchmark.p
% 1.19/1.15  % SZS status Satisfiable for theBenchmark.p
% 1.19/1.15  
% 1.19/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.19/1.15  
% 1.19/1.15  ------  iProver source info
% 1.19/1.15  
% 1.19/1.15  git: date: 2023-05-31 18:12:56 +0000
% 1.19/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.19/1.15  git: non_committed_changes: false
% 1.19/1.15  git: last_make_outside_of_git: false
% 1.19/1.15  
% 1.19/1.15  ------ Parsing...successful
% 1.19/1.15  
% 1.19/1.15  
% 1.19/1.15  
% 1.19/1.15  ------ Preprocessing... sup_sim: 14  sf_s  rm: 17 0s  sf_e  pe_s  pe_e  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 1.19/1.15  
% 1.19/1.15  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.19/1.15   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.19/1.15  ------ Proving...
% 1.19/1.15  ------ Problem Properties 
% 1.19/1.15  
% 1.19/1.15  
% 1.19/1.15  clauses                                 0
% 1.19/1.15  conjectures                             0
% 1.19/1.15  EPR                                     0
% 1.19/1.15  Horn                                    0
% 1.19/1.15  unary                                   0
% 1.19/1.15  binary                                  0
% 1.19/1.15  lits                                    0
% 1.19/1.15  lits eq                                 0
% 1.19/1.15  fd_pure                                 0
% 1.19/1.15  fd_pseudo                               0
% 1.19/1.15  fd_cond                                 0
% 1.19/1.15  fd_pseudo_cond                          0
% 1.19/1.15  AC symbols                              0
% 1.19/1.15  
% 1.19/1.15  ------ Schedule EPR Horn non eq is on
% 1.19/1.15  
% 1.19/1.15  ------ no conjectures: strip conj schedule 
% 1.19/1.15  
% 1.19/1.15  ------ no equalities: superposition off 
% 1.19/1.15  
% 1.19/1.15  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.19/1.15  
% 1.19/1.15  
% 1.19/1.15  
% 1.19/1.15  
% 1.19/1.15  % SZS status Satisfiable for theBenchmark.p
% 1.19/1.15  
% 1.19/1.15  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.19/1.15  
% 1.19/1.15  
%------------------------------------------------------------------------------