TSTP Solution File: MSC008-2.002 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MSC008-2.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 09:26:10 EDT 2023

% Result   : Unsatisfiable 2.29s 1.21s
% Output   : CNFRefutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   52 (   2 unt;  25 nHn;  40 RR)
%            Number of literals    :  164 (   0 equ;  76 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   79 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ~ eq(p1,p2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_not_p2) ).

cnf(c_51,plain,
    ( ~ eq(X0,X1)
    | eq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).

cnf(c_52,plain,
    ( ~ latin(X0,X1,X2)
    | ~ latin(X0,X1,X3)
    | eq(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_element_is_unique) ).

cnf(c_53,plain,
    ( ~ latin(X0,X1,X2)
    | ~ latin(X0,X3,X2)
    | eq(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_is_unique) ).

cnf(c_54,plain,
    ( ~ latin(X0,X1,X2)
    | ~ latin(X3,X1,X2)
    | eq(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_is_unique) ).

cnf(c_56,plain,
    ( ~ greek(X0,X1,X2)
    | ~ greek(X0,X3,X2)
    | eq(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_is_unique) ).

cnf(c_57,plain,
    ( ~ greek(X0,X1,X2)
    | ~ greek(X3,X1,X2)
    | eq(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_is_unique) ).

cnf(c_58,plain,
    ( latin(X0,X1,p1)
    | latin(X0,X1,p2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_cell_element) ).

cnf(c_59,plain,
    ( latin(X0,p1,X1)
    | latin(X0,p2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_required) ).

cnf(c_60,plain,
    ( latin(p1,X0,X1)
    | latin(p2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_required) ).

cnf(c_62,plain,
    ( greek(X0,p1,X1)
    | greek(X0,p2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_required) ).

cnf(c_63,plain,
    ( greek(p1,X0,X1)
    | greek(p2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_required) ).

cnf(c_64,negated_conjecture,
    ( ~ latin(X0,X1,X2)
    | ~ latin(X3,X4,X2)
    | ~ greek(X0,X1,X5)
    | ~ greek(X3,X4,X5)
    | eq(X3,X0)
    | eq(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same) ).

cnf(c_67,plain,
    ( greek(p1,p1,p1)
    | greek(p1,p2,p1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_71,plain,
    ( latin(p1,p1,p1)
    | latin(p1,p1,p2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_152,plain,
    ( ~ latin(X0,p2,X1)
    | ~ latin(X2,p1,X1)
    | ~ greek(X0,p2,X3)
    | ~ greek(X2,p1,X3)
    | eq(X2,X0)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_153,plain,
    ( ~ eq(p2,p1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_154,plain,
    ( ~ latin(X0,X1,p1)
    | ~ latin(X0,X1,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_155,plain,
    ( ~ latin(p1,p1,p1)
    | ~ latin(p1,p1,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_156,plain,
    ( ~ latin(X0,p1,X1)
    | ~ latin(X0,p2,X1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_158,plain,
    ( ~ latin(p1,X0,X1)
    | ~ latin(p2,X0,X1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_159,plain,
    ( ~ latin(p1,p1,p1)
    | ~ latin(p2,p1,p1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_158]) ).

cnf(c_164,plain,
    ( ~ greek(p1,X0,X1)
    | ~ greek(p2,X0,X1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_166,plain,
    ( ~ latin(p1,p1,X0)
    | ~ latin(p2,p2,X0)
    | ~ greek(p1,p1,X1)
    | ~ greek(p2,p2,X1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_167,plain,
    ( ~ latin(p1,p1,p1)
    | ~ latin(p2,p2,p1)
    | ~ greek(p1,p1,p1)
    | ~ greek(p2,p2,p1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_166]) ).

cnf(c_173,plain,
    ( ~ greek(X0,p1,X1)
    | ~ greek(X0,p2,X1)
    | eq(p2,p1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_176,plain,
    ( ~ greek(p1,p1,p1)
    | ~ greek(p1,p2,p1)
    | eq(p2,p1) ),
    inference(instantiation,[status(thm)],[c_173]) ).

cnf(c_185,plain,
    ( latin(X0,p1,p2)
    | latin(X0,p2,p2) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_186,plain,
    ( latin(p1,p1,p2)
    | latin(p1,p2,p2) ),
    inference(instantiation,[status(thm)],[c_185]) ).

cnf(c_188,plain,
    ( latin(p1,X0,p2)
    | latin(p2,X0,p2) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_191,plain,
    ( ~ latin(X0,p1,p2)
    | ~ latin(X0,p2,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_156]) ).

cnf(c_192,plain,
    ( ~ latin(p1,p1,p2)
    | ~ latin(p1,p2,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_191]) ).

cnf(c_202,plain,
    ( ~ latin(p1,X0,p2)
    | ~ latin(p2,X0,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_158]) ).

cnf(c_218,plain,
    ( greek(p1,p2,X0)
    | greek(p2,p2,X0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_219,plain,
    ( greek(p1,p2,p1)
    | greek(p2,p2,p1) ),
    inference(instantiation,[status(thm)],[c_218]) ).

cnf(c_220,plain,
    ( ~ greek(p1,X0,p1)
    | ~ greek(p2,X0,p1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_164]) ).

cnf(c_224,plain,
    ( greek(p2,p1,X0)
    | greek(p2,p2,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_225,plain,
    ( greek(p2,p1,p1)
    | greek(p2,p2,p1) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_247,plain,
    ( latin(X0,p2,p1)
    | latin(X0,p2,p2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_253,plain,
    ( latin(p1,p2,p2)
    | latin(p2,p2,p2) ),
    inference(instantiation,[status(thm)],[c_188]) ).

cnf(c_320,plain,
    ( ~ latin(p1,p2,p2)
    | ~ latin(p2,p2,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_202]) ).

cnf(c_416,plain,
    ( ~ latin(X0,X1,X2)
    | ~ greek(X0,X1,X3)
    | ~ greek(X4,p2,X3)
    | latin(X4,p1,X2)
    | eq(X0,X4)
    | eq(X1,p2) ),
    inference(superposition,[status(thm)],[c_59,c_64]) ).

cnf(c_438,plain,
    ( ~ greek(p1,p2,p1)
    | ~ greek(p2,p2,p1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_220]) ).

cnf(c_456,plain,
    ( ~ greek(X0,X1,X2)
    | ~ greek(X3,p2,X2)
    | latin(X0,X1,p1)
    | latin(X3,p1,p2)
    | eq(X0,X3)
    | eq(X1,p2) ),
    inference(superposition,[status(thm)],[c_58,c_416]) ).

cnf(c_558,plain,
    ( ~ greek(X0,p2,X1)
    | ~ greek(p2,X2,X1)
    | latin(X0,p1,X3)
    | latin(p1,X2,X3)
    | eq(X2,p2)
    | eq(p2,X0) ),
    inference(superposition,[status(thm)],[c_60,c_416]) ).

cnf(c_572,plain,
    ( ~ greek(p1,p2,p1)
    | ~ greek(p2,p1,p1)
    | latin(p1,p1,p1)
    | eq(p1,p2)
    | eq(p2,p1) ),
    inference(instantiation,[status(thm)],[c_558]) ).

cnf(c_744,plain,
    ( ~ greek(X0,p2,X1)
    | greek(p1,X2,X1)
    | latin(X0,p1,p2)
    | latin(p2,X2,p1)
    | eq(X2,p2)
    | eq(p2,X0) ),
    inference(superposition,[status(thm)],[c_63,c_456]) ).

cnf(c_758,plain,
    ( ~ greek(p1,p2,p1)
    | latin(p1,p1,p2)
    | latin(p2,p1,p1)
    | greek(p1,p1,p1)
    | eq(p1,p2)
    | eq(p2,p1) ),
    inference(instantiation,[status(thm)],[c_744]) ).

cnf(c_1000,plain,
    ( latin(p2,p2,p1)
    | latin(p2,p2,p2) ),
    inference(instantiation,[status(thm)],[c_247]) ).

cnf(c_1213,plain,
    ( ~ greek(p1,p1,X0)
    | ~ greek(p2,p2,X0)
    | ~ latin(p1,p1,p2)
    | ~ latin(p2,p2,p2)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_166]) ).

cnf(c_1214,plain,
    ( ~ latin(p1,p1,p2)
    | ~ latin(p2,p2,p2)
    | ~ greek(p1,p1,p1)
    | ~ greek(p2,p2,p1)
    | eq(p1,p2) ),
    inference(instantiation,[status(thm)],[c_1213]) ).

cnf(c_1665,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1214,c_1000,c_758,c_572,c_438,c_320,c_253,c_225,c_219,c_192,c_186,c_176,c_167,c_159,c_155,c_153,c_71,c_67,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : MSC008-2.002 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 14:04:42 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.29/1.21  % SZS status Started for theBenchmark.p
% 2.29/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.29/1.21  
% 2.29/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.29/1.21  
% 2.29/1.21  ------  iProver source info
% 2.29/1.21  
% 2.29/1.21  git: date: 2023-05-31 18:12:56 +0000
% 2.29/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.29/1.21  git: non_committed_changes: false
% 2.29/1.21  git: last_make_outside_of_git: false
% 2.29/1.21  
% 2.29/1.21  ------ Parsing...successful
% 2.29/1.21  
% 2.29/1.21  ------  preprocesses with Option_epr_non_horn_non_eq
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.29/1.21  
% 2.29/1.21  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 2.29/1.21   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.29/1.21  ------ Proving...
% 2.29/1.21  ------ Problem Properties 
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  clauses                                 16
% 2.29/1.21  conjectures                             1
% 2.29/1.21  EPR                                     16
% 2.29/1.21  Horn                                    9
% 2.29/1.21  unary                                   2
% 2.29/1.21  binary                                  7
% 2.29/1.21  lits                                    40
% 2.29/1.21  lits eq                                 0
% 2.29/1.21  fd_pure                                 0
% 2.29/1.21  fd_pseudo                               0
% 2.29/1.21  fd_cond                                 0
% 2.29/1.21  fd_pseudo_cond                          0
% 2.29/1.21  AC symbols                              0
% 2.29/1.21  
% 2.29/1.21  ------ Schedule EPR non Horn non eq is on
% 2.29/1.21  
% 2.29/1.21  ------ no equalities: superposition off 
% 2.29/1.21  
% 2.29/1.21  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  ------ 
% 2.29/1.21  Current options:
% 2.29/1.21  ------ 
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  ------ Proving...
% 2.29/1.21  
% 2.29/1.21  
% 2.29/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.29/1.21  
% 2.29/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.29/1.21  
% 2.29/1.21  
%------------------------------------------------------------------------------