TSTP Solution File: BOO037-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : BOO037-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 : Wed Aug 30 18:09:16 EDT 2023

% Result   : Satisfiable 1.21s 1.15s
% Output   : Saturation 1.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).

cnf(c_52,plain,
    ( ~ product(X0,X1,X2)
    | product(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).

cnf(c_53,plain,
    sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).

cnf(c_54,plain,
    sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).

cnf(c_55,plain,
    product(multiplicative_identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).

cnf(c_56,plain,
    product(X0,multiplicative_identity,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).

cnf(c_58,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X4,X5)
    | ~ product(X6,X0,X3)
    | ~ product(X6,X1,X4)
    | product(X6,X2,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity2) ).

cnf(c_60,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X4,X5)
    | ~ product(X0,X6,X3)
    | ~ product(X1,X6,X4)
    | product(X2,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity4) ).

cnf(c_62,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X0,X3,X4)
    | ~ product(X1,X3,X5)
    | ~ product(X2,X4,X6)
    | sum(X0,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).

cnf(c_64,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,X4)
    | ~ product(X0,X3,X5)
    | ~ product(X2,X4,X6)
    | sum(X5,X1,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity8) ).

cnf(c_66,plain,
    sum(X0,inverse(X0),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).

cnf(c_68,plain,
    product(X0,inverse(X0),additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).

cnf(c_84,plain,
    ( add(X0,X1) != X2
    | add(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_51]) ).

cnf(c_86,plain,
    ( multiply(X0,X1) != X2
    | multiply(X1,X0) = X2 ),
    inference(well_definedness,[status(thm)],[c_52]) ).

cnf(c_88,plain,
    add(additive_identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_53]) ).

cnf(c_89,plain,
    add(X0,additive_identity) = X0,
    inference(well_definedness,[status(thm)],[c_54]) ).

cnf(c_90,plain,
    multiply(multiplicative_identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_55]) ).

cnf(c_91,plain,
    multiply(X0,multiplicative_identity) = X0,
    inference(well_definedness,[status(thm)],[c_56]) ).

cnf(c_94,plain,
    ( add(X0,X1) != X2
    | add(X3,X4) != X5
    | multiply(X6,X0) != X3
    | multiply(X6,X1) != X4
    | multiply(X6,X2) = X5 ),
    inference(well_definedness,[status(thm)],[c_58]) ).

cnf(c_98,plain,
    ( add(X0,X1) != X2
    | add(X3,X4) != X5
    | multiply(X0,X6) != X3
    | multiply(X1,X6) != X4
    | multiply(X2,X6) = X5 ),
    inference(well_definedness,[status(thm)],[c_60]) ).

cnf(c_102,plain,
    ( add(X0,X1) != X2
    | add(X0,X3) != X4
    | multiply(X1,X3) != X5
    | multiply(X2,X4) != X6
    | add(X0,X5) = X6 ),
    inference(well_definedness,[status(thm)],[c_62]) ).

cnf(c_106,plain,
    ( add(X0,X1) != X2
    | add(X3,X1) != X4
    | multiply(X0,X3) != X5
    | multiply(X2,X4) != X6
    | add(X5,X1) = X6 ),
    inference(well_definedness,[status(thm)],[c_64]) ).

cnf(c_109,plain,
    add(X0,inverse(X0)) = multiplicative_identity,
    inference(well_definedness,[status(thm)],[c_66]) ).

cnf(c_111,plain,
    multiply(X0,inverse(X0)) = additive_identity,
    inference(well_definedness,[status(thm)],[c_68]) ).

cnf(c_247,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(unflattening,[status(thm)],[c_86]) ).

cnf(c_249,plain,
    add(X0,X1) = add(X1,X0),
    inference(unflattening,[status(thm)],[c_84]) ).

cnf(c_253,plain,
    multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
    inference(unflattening,[status(thm)],[c_106]) ).

cnf(c_255,plain,
    multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
    inference(unflattening,[status(thm)],[c_102]) ).

cnf(c_257,plain,
    add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    inference(unflattening,[status(thm)],[c_98]) ).

cnf(c_259,plain,
    add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    inference(unflattening,[status(thm)],[c_94]) ).

cnf(c_261,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_262,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_263,plain,
    ( X0 != X1
    | X2 != X3
    | add(X0,X2) = add(X1,X3) ),
    theory(equality) ).

cnf(c_264,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO037-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 08:01:10 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.60  WARNING - Could not infer the problem pformat. Setting FOF as default
% 1.21/1.15  % SZS status Started for theBenchmark.p
% 1.21/1.15  % SZS status Satisfiable for theBenchmark.p
% 1.21/1.15  
% 1.21/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.21/1.15  
% 1.21/1.15  ------  iProver source info
% 1.21/1.15  
% 1.21/1.15  git: date: 2023-05-31 18:12:56 +0000
% 1.21/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.21/1.15  git: non_committed_changes: false
% 1.21/1.15  git: last_make_outside_of_git: false
% 1.21/1.15  
% 1.21/1.15  ------ Parsing...successful
% 1.21/1.15  
% 1.21/1.15  
% 1.21/1.15  
% 1.21/1.15  ------ Preprocessing... sup_sim: 18  sf_s  rm: 16 0s  sf_e  pe_s  pe_e  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 1.21/1.15  
% 1.21/1.15  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.21/1.15   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.21/1.15  ------ Proving...
% 1.21/1.15  ------ Problem Properties 
% 1.21/1.15  
% 1.21/1.15  
% 1.21/1.15  clauses                                 0
% 1.21/1.15  conjectures                             0
% 1.21/1.15  EPR                                     0
% 1.21/1.15  Horn                                    0
% 1.21/1.15  unary                                   0
% 1.21/1.15  binary                                  0
% 1.21/1.15  lits                                    0
% 1.21/1.15  lits eq                                 0
% 1.21/1.15  fd_pure                                 0
% 1.21/1.15  fd_pseudo                               0
% 1.21/1.15  fd_cond                                 0
% 1.21/1.15  fd_pseudo_cond                          0
% 1.21/1.15  AC symbols                              0
% 1.21/1.15  
% 1.21/1.15  ------ Schedule EPR Horn non eq is on
% 1.21/1.15  
% 1.21/1.15  ------ no conjectures: strip conj schedule 
% 1.21/1.15  
% 1.21/1.15  ------ no equalities: superposition off 
% 1.21/1.15  
% 1.21/1.15  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.21/1.15  
% 1.21/1.15  
% 1.21/1.15  
% 1.21/1.15  
% 1.21/1.15  % SZS status Satisfiable for theBenchmark.p
% 1.21/1.15  
% 1.21/1.15  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.21/1.15  
% 1.21/1.15  
%------------------------------------------------------------------------------