TSTP Solution File: LAT394-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 06:18:28 EDT 2023

% Result   : Unsatisfiable 38.38s 6.19s
% Output   : CNFRefutation 38.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   45 (  45 unt;   0 nHn;   3 RR)
%            Number of literals    :   45 (  44 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   91 (  22 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).

cnf(c_50,plain,
    f(f(X0,X0),f(X1,X1)) = or(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).

cnf(c_51,plain,
    f(f(X0,X1),f(X0,X1)) = and(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_002) ).

cnf(c_52,plain,
    f(X0,X0) = neg(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).

cnf(c_53,negated_conjecture,
    f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_68,plain,
    neg(f(X0,X1)) = and(X0,X1),
    inference(demodulation,[status(thm)],[c_51,c_52]) ).

cnf(c_69,plain,
    f(neg(X0),neg(X1)) = or(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_52]) ).

cnf(c_70,plain,
    f(x0,neg(x0)) != f(x1,neg(x1)),
    inference(demodulation,[status(thm)],[c_53,c_52]) ).

cnf(c_71,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(neg(X0),X0)),X2))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_52]) ).

cnf(c_127,plain,
    f(f(neg(f(X0,X0)),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
    inference(superposition,[status(thm)],[c_52,c_71]) ).

cnf(c_129,plain,
    f(f(f(neg(X0),f(X0,X1)),X2),f(X0,f(f(X0,f(neg(X0),X0)),X1))) = X0,
    inference(superposition,[status(thm)],[c_52,c_71]) ).

cnf(c_146,plain,
    f(f(neg(neg(X0)),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
    inference(light_normalisation,[status(thm)],[c_127,c_52]) ).

cnf(c_51596,plain,
    f(X0,f(f(X0,X1),f(f(f(X0,X1),f(neg(neg(X0)),neg(X0))),X2))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_129,c_71]) ).

cnf(c_77081,plain,
    f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)) = f(f(X0,X1),f(X1,X2)),
    inference(superposition,[status(thm)],[c_71,c_51596]) ).

cnf(c_77174,plain,
    f(X0,f(f(X0,X1),f(f(f(X0,X1),or(neg(X0),X0)),X2))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_69,c_51596]) ).

cnf(c_77908,plain,
    f(X0,f(f(X0,X1),or(neg(X0),X0))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_77174,c_77174]) ).

cnf(c_78756,plain,
    f(neg(X0),f(or(X0,X1),or(neg(neg(X0)),neg(X0)))) = or(X0,X1),
    inference(superposition,[status(thm)],[c_69,c_77908]) ).

cnf(c_83815,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_71,c_77081]) ).

cnf(c_84490,plain,
    f(f(X0,X0),f(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_83815,c_83815]) ).

cnf(c_84503,plain,
    f(neg(X0),neg(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_84490,c_52]) ).

cnf(c_85185,plain,
    neg(neg(X0)) = X0,
    inference(superposition,[status(thm)],[c_84503,c_52]) ).

cnf(c_85243,plain,
    f(neg(X0),f(or(X0,X1),or(X0,neg(X0)))) = or(X0,X1),
    inference(demodulation,[status(thm)],[c_78756,c_85185]) ).

cnf(c_85303,plain,
    f(f(X0,X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
    inference(demodulation,[status(thm)],[c_146,c_85185]) ).

cnf(c_85761,plain,
    neg(and(X0,X1)) = f(X0,X1),
    inference(superposition,[status(thm)],[c_68,c_85185]) ).

cnf(c_85858,plain,
    f(f(X0,X1),neg(X2)) = or(and(X0,X1),X2),
    inference(superposition,[status(thm)],[c_85761,c_69]) ).

cnf(c_87823,plain,
    f(f(X0,X1),f(X1,f(f(X1,f(neg(X0),X0)),X2))) = X1,
    inference(superposition,[status(thm)],[c_85303,c_71]) ).

cnf(c_87824,plain,
    neg(f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
    inference(superposition,[status(thm)],[c_85303,c_52]) ).

cnf(c_87941,plain,
    f(X0,f(f(X0,f(neg(X0),X0)),X0)) = neg(X0),
    inference(superposition,[status(thm)],[c_87824,c_85185]) ).

cnf(c_87972,plain,
    f(f(X0,X1),neg(X0)) = X0,
    inference(demodulation,[status(thm)],[c_85303,c_87941]) ).

cnf(c_88080,plain,
    f(or(X0,X1),neg(neg(X0))) = neg(X0),
    inference(superposition,[status(thm)],[c_85243,c_87972]) ).

cnf(c_88133,plain,
    f(or(X0,X1),X0) = neg(X0),
    inference(light_normalisation,[status(thm)],[c_88080,c_85185]) ).

cnf(c_88258,plain,
    and(or(X0,X1),X0) = neg(neg(X0)),
    inference(superposition,[status(thm)],[c_88133,c_68]) ).

cnf(c_88274,plain,
    and(or(X0,X1),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_88258,c_85185]) ).

cnf(c_89045,plain,
    f(f(X0,X1),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_87823,c_77081]) ).

cnf(c_89684,plain,
    f(f(X0,X1),neg(X1)) = X1,
    inference(superposition,[status(thm)],[c_52,c_89045]) ).

cnf(c_89686,plain,
    f(f(X0,neg(X1)),X1) = neg(X1),
    inference(superposition,[status(thm)],[c_84503,c_89045]) ).

cnf(c_89852,plain,
    or(and(X0,X1),X1) = X1,
    inference(superposition,[status(thm)],[c_89684,c_85858]) ).

cnf(c_89904,plain,
    and(X0,and(X1,X0)) = and(X1,X0),
    inference(superposition,[status(thm)],[c_89852,c_88274]) ).

cnf(c_90394,plain,
    neg(f(X0,f(f(X0,f(neg(X1),X1)),X2))) = X0,
    inference(superposition,[status(thm)],[c_89686,c_71]) ).

cnf(c_90835,plain,
    and(X0,f(f(X0,f(neg(X1),X1)),X2)) = X0,
    inference(superposition,[status(thm)],[c_90394,c_68]) ).

cnf(c_90969,plain,
    and(X0,f(neg(X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_89045,c_90835]) ).

cnf(c_91033,plain,
    and(X0,f(X1,neg(X1))) = X0,
    inference(superposition,[status(thm)],[c_85185,c_90969]) ).

cnf(c_91454,plain,
    and(f(X0,neg(X0)),X1) = X1,
    inference(superposition,[status(thm)],[c_91033,c_89904]) ).

cnf(c_91737,plain,
    f(X0,neg(X0)) = f(X1,neg(X1)),
    inference(superposition,[status(thm)],[c_91454,c_91033]) ).

cnf(c_94949,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_70,c_91737]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.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 04:27:09 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.38/6.19  % SZS status Started for theBenchmark.p
% 38.38/6.19  % SZS status Unsatisfiable for theBenchmark.p
% 38.38/6.19  
% 38.38/6.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 38.38/6.19  
% 38.38/6.19  ------  iProver source info
% 38.38/6.19  
% 38.38/6.19  git: date: 2023-05-31 18:12:56 +0000
% 38.38/6.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 38.38/6.19  git: non_committed_changes: false
% 38.38/6.19  git: last_make_outside_of_git: false
% 38.38/6.19  
% 38.38/6.19  ------ Parsing...successful
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  ------ Preprocessing... sup_sim: 4  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 38.38/6.19  
% 38.38/6.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 38.38/6.19  
% 38.38/6.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 38.38/6.19  ------ Proving...
% 38.38/6.19  ------ Problem Properties 
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  clauses                                 5
% 38.38/6.19  conjectures                             0
% 38.38/6.19  EPR                                     0
% 38.38/6.19  Horn                                    5
% 38.38/6.19  unary                                   5
% 38.38/6.19  binary                                  0
% 38.38/6.19  lits                                    5
% 38.38/6.19  lits eq                                 5
% 38.38/6.19  fd_pure                                 0
% 38.38/6.19  fd_pseudo                               0
% 38.38/6.19  fd_cond                                 0
% 38.38/6.19  fd_pseudo_cond                          0
% 38.38/6.19  AC symbols                              0
% 38.38/6.19  
% 38.38/6.19  ------ Input Options Time Limit: Unbounded
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  ------ 
% 38.38/6.19  Current options:
% 38.38/6.19  ------ 
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  ------ Proving...
% 38.38/6.19  
% 38.38/6.19  
% 38.38/6.19  % SZS status Unsatisfiable for theBenchmark.p
% 38.38/6.19  
% 38.38/6.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.38/6.19  
% 38.38/6.19  
%------------------------------------------------------------------------------