TSTP Solution File: LAT029-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 06:16:30 EDT 2023

% Result   : Unsatisfiable 4.04s 1.18s
% Output   : CNFRefutation 4.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   56 (  53 unt;   0 nHn;   7 RR)
%            Number of literals    :   62 (  61 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   96 (  23 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).

cnf(c_50,plain,
    join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).

cnf(c_51,plain,
    join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).

cnf(c_52,plain,
    meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).

cnf(c_53,plain,
    join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).

cnf(c_54,negated_conjecture,
    ( meet(a,a) != a
    | meet(a,b) != meet(b,a)
    | join(a,a) != a
    | join(a,b) != join(b,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).

cnf(c_145,plain,
    meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
    inference(superposition,[status(thm)],[c_51,c_52]) ).

cnf(c_151,plain,
    join(meet(X0,X0),join(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_175,plain,
    join(join(meet(X0,X1),X0),X0) = X0,
    inference(superposition,[status(thm)],[c_52,c_53]) ).

cnf(c_179,plain,
    meet(meet(join(X0,X1),X0),X0) = X0,
    inference(superposition,[status(thm)],[c_53,c_52]) ).

cnf(c_270,plain,
    meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_179]) ).

cnf(c_342,plain,
    meet(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_52,c_270]) ).

cnf(c_353,plain,
    ( meet(a,b) != meet(b,a)
    | join(a,a) != a
    | join(a,b) != join(b,a) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_54,c_342]) ).

cnf(c_355,plain,
    join(X0,join(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_151,c_342]) ).

cnf(c_356,plain,
    join(X0,meet(X1,join(X0,X0))) = X0,
    inference(demodulation,[status(thm)],[c_50,c_342]) ).

cnf(c_360,plain,
    meet(a,a) = a,
    inference(instantiation,[status(thm)],[c_342]) ).

cnf(c_371,plain,
    join(join(X0,X0),X0) = X0,
    inference(superposition,[status(thm)],[c_342,c_175]) ).

cnf(c_375,plain,
    meet(join(X0,X0),X0) = X0,
    inference(superposition,[status(thm)],[c_342,c_52]) ).

cnf(c_383,plain,
    meet(meet(X0,join(X1,X0)),X0) = X0,
    inference(superposition,[status(thm)],[c_355,c_52]) ).

cnf(c_398,plain,
    join(meet(join(X0,X0),X0),meet(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_371,c_51]) ).

cnf(c_401,plain,
    join(X0,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_398,c_342,c_375]) ).

cnf(c_406,plain,
    join(a,a) = a,
    inference(instantiation,[status(thm)],[c_401]) ).

cnf(c_431,plain,
    ( meet(a,b) != meet(b,a)
    | join(a,b) != join(b,a) ),
    inference(global_subsumption_just,[status(thm)],[c_353,c_54,c_360,c_406]) ).

cnf(c_435,plain,
    join(X0,meet(X1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_356,c_401]) ).

cnf(c_444,plain,
    join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_435,c_49]) ).

cnf(c_447,plain,
    join(meet(X0,meet(X1,X0)),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_444,c_342]) ).

cnf(c_466,plain,
    meet(meet(meet(X0,X1),X1),meet(X0,X1)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_435,c_383]) ).

cnf(c_726,plain,
    meet(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
    inference(superposition,[status(thm)],[c_179,c_466]) ).

cnf(c_1076,plain,
    join(meet(join(X0,X1),X0),X0) = X0,
    inference(superposition,[status(thm)],[c_726,c_447]) ).

cnf(c_1189,plain,
    join(meet(meet(join(X0,X1),X0),X0),meet(meet(join(X0,X1),X0),X0)) = meet(join(X0,X1),X0),
    inference(superposition,[status(thm)],[c_1076,c_49]) ).

cnf(c_1202,plain,
    meet(join(X0,X1),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_1189,c_179,c_401]) ).

cnf(c_1212,plain,
    meet(X0,meet(X0,X1)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_1202]) ).

cnf(c_1214,plain,
    meet(X0,meet(X1,X0)) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_51,c_1202]) ).

cnf(c_1217,plain,
    meet(X0,join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
    inference(superposition,[status(thm)],[c_175,c_1202]) ).

cnf(c_1587,plain,
    join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
    inference(superposition,[status(thm)],[c_1214,c_53]) ).

cnf(c_1801,plain,
    meet(join(meet(X0,X1),X0),X0) = X0,
    inference(superposition,[status(thm)],[c_1217,c_383]) ).

cnf(c_1864,plain,
    join(X0,meet(join(meet(X0,X1),X0),join(join(meet(X0,X1),X0),X0))) = join(meet(X0,X1),X0),
    inference(superposition,[status(thm)],[c_1801,c_49]) ).

cnf(c_1874,plain,
    join(meet(X0,X1),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_1864,c_175,c_401,c_1801]) ).

cnf(c_1892,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_1202,c_1874]) ).

cnf(c_1927,plain,
    join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
    inference(superposition,[status(thm)],[c_1892,c_49]) ).

cnf(c_2332,plain,
    meet(X0,join(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_1927,c_401]) ).

cnf(c_2341,plain,
    meet(meet(X0,X1),X0) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_1874,c_2332]) ).

cnf(c_2359,plain,
    join(join(X0,X1),X0) = join(X0,X1),
    inference(superposition,[status(thm)],[c_2332,c_435]) ).

cnf(c_2360,plain,
    join(join(meet(X0,join(X1,X2)),X1),join(X1,X2)) = join(X1,X2),
    inference(superposition,[status(thm)],[c_2332,c_1587]) ).

cnf(c_2363,plain,
    meet(X0,join(X1,X0)) = X0,
    inference(demodulation,[status(thm)],[c_383,c_2341]) ).

cnf(c_2596,plain,
    join(X0,meet(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_2341,c_435]) ).

cnf(c_2621,plain,
    meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_2596,c_145]) ).

cnf(c_3060,plain,
    join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_2621,c_2596]) ).

cnf(c_3061,plain,
    meet(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_2621,c_2341]) ).

cnf(c_3986,plain,
    meet(meet(X0,meet(X0,X1)),meet(X1,X0)) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_3060,c_145]) ).

cnf(c_4005,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(light_normalisation,[status(thm)],[c_3986,c_1212,c_3061]) ).

cnf(c_4037,plain,
    join(a,b) != join(b,a),
    inference(backward_subsumption_resolution,[status(thm)],[c_431,c_4005]) ).

cnf(c_4745,plain,
    join(join(X0,X1),join(X1,X0)) = join(X1,X0),
    inference(superposition,[status(thm)],[c_2363,c_2360]) ).

cnf(c_4985,plain,
    join(join(X0,X1),join(X1,X0)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_4745,c_2359]) ).

cnf(c_5111,plain,
    join(X0,X1) = join(X1,X0),
    inference(superposition,[status(thm)],[c_4985,c_4745]) ).

cnf(c_5153,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_4037,c_5111]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.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 08:11:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/1.18  % SZS status Started for theBenchmark.p
% 4.04/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.18  
% 4.04/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.04/1.18  
% 4.04/1.18  ------  iProver source info
% 4.04/1.18  
% 4.04/1.18  git: date: 2023-05-31 18:12:56 +0000
% 4.04/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.04/1.18  git: non_committed_changes: false
% 4.04/1.18  git: last_make_outside_of_git: false
% 4.04/1.18  
% 4.04/1.18  ------ Parsing...successful
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.04/1.18  
% 4.04/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.04/1.18  
% 4.04/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.04/1.18  ------ Proving...
% 4.04/1.18  ------ Problem Properties 
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  clauses                                 6
% 4.04/1.18  conjectures                             1
% 4.04/1.18  EPR                                     0
% 4.04/1.18  Horn                                    6
% 4.04/1.18  unary                                   5
% 4.04/1.18  binary                                  0
% 4.04/1.18  lits                                    9
% 4.04/1.18  lits eq                                 9
% 4.04/1.18  fd_pure                                 0
% 4.04/1.18  fd_pseudo                               0
% 4.04/1.18  fd_cond                                 0
% 4.04/1.18  fd_pseudo_cond                          0
% 4.04/1.18  AC symbols                              0
% 4.04/1.18  
% 4.04/1.18  ------ Schedule dynamic 5 is on 
% 4.04/1.18  
% 4.04/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  ------ 
% 4.04/1.18  Current options:
% 4.04/1.18  ------ 
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  ------ Proving...
% 4.04/1.18  
% 4.04/1.18  
% 4.04/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.18  
% 4.04/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.18  
% 4.04/1.19  
%------------------------------------------------------------------------------