TSTP Solution File: LAT012-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Fri May  3 02:34:33 EDT 2024

% Result   : Unsatisfiable 0.39s 1.08s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    join(X0,meet(X1,meet(X0,X2))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie1) ).

cnf(c_50,plain,
    meet(X0,join(X1,join(X0,X2))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie2) ).

cnf(c_51,plain,
    join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie3) ).

cnf(c_52,plain,
    meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie4) ).

cnf(c_53,negated_conjecture,
    meet(b,a) != meet(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_meet) ).

cnf(c_72,plain,
    meet(b,a) = sP0_iProver_def,
    definition ).

cnf(c_73,plain,
    meet(a,b) = sP1_iProver_def,
    definition ).

cnf(c_74,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_53,c_73,c_72]) ).

cnf(c_116,plain,
    join(b,meet(X0,sP0_iProver_def)) = b,
    inference(superposition,[status(thm)],[c_72,c_49]) ).

cnf(c_117,plain,
    join(a,meet(X0,sP1_iProver_def)) = a,
    inference(superposition,[status(thm)],[c_73,c_49]) ).

cnf(c_120,plain,
    meet(X0,join(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_123,plain,
    join(X0,meet(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_134,plain,
    join(a,sP0_iProver_def) = a,
    inference(superposition,[status(thm)],[c_72,c_123]) ).

cnf(c_135,plain,
    join(b,sP1_iProver_def) = b,
    inference(superposition,[status(thm)],[c_73,c_123]) ).

cnf(c_142,plain,
    join(meet(X0,X1),X1) = X1,
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_209,plain,
    join(X0,meet(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_212,plain,
    join(b,sP0_iProver_def) = b,
    inference(superposition,[status(thm)],[c_52,c_116]) ).

cnf(c_213,plain,
    join(a,sP1_iProver_def) = a,
    inference(superposition,[status(thm)],[c_52,c_117]) ).

cnf(c_237,plain,
    meet(meet(a,join(sP0_iProver_def,X0)),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_134,c_52]) ).

cnf(c_250,plain,
    meet(meet(b,join(sP1_iProver_def,X0)),sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_135,c_52]) ).

cnf(c_279,plain,
    meet(sP0_iProver_def,b) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_212,c_120]) ).

cnf(c_284,plain,
    meet(sP1_iProver_def,a) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_213,c_120]) ).

cnf(c_337,plain,
    join(sP1_iProver_def,a) = a,
    inference(superposition,[status(thm)],[c_284,c_142]) ).

cnf(c_340,plain,
    join(sP0_iProver_def,b) = b,
    inference(superposition,[status(thm)],[c_279,c_142]) ).

cnf(c_1320,plain,
    meet(meet(a,b),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_340,c_237]) ).

cnf(c_1333,plain,
    meet(sP1_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1320,c_73]) ).

cnf(c_1369,plain,
    meet(meet(b,a),sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_337,c_250]) ).

cnf(c_1386,plain,
    meet(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1369,c_72]) ).

cnf(c_1402,plain,
    join(sP1_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_1333,c_209]) ).

cnf(c_1451,plain,
    meet(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_1402,c_120]) ).

cnf(c_1454,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_1386,c_1451]) ).

cnf(c_1455,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1454,c_74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 18:36:35 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running UEQ theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.39/1.08  % SZS status Started for theBenchmark.p
% 0.39/1.08  % SZS status Unsatisfiable for theBenchmark.p
% 0.39/1.08  
% 0.39/1.08  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.39/1.08  
% 0.39/1.08  ------  iProver source info
% 0.39/1.08  
% 0.39/1.08  git: date: 2024-05-02 19:28:25 +0000
% 0.39/1.08  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.39/1.08  git: non_committed_changes: false
% 0.39/1.08  
% 0.39/1.08  ------ Parsing...successful
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.39/1.08  
% 0.39/1.08  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.39/1.08  
% 0.39/1.08  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.39/1.08  ------ Proving...
% 0.39/1.08  ------ Problem Properties 
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  clauses                                 7
% 0.39/1.08  conjectures                             1
% 0.39/1.08  EPR                                     1
% 0.39/1.08  Horn                                    7
% 0.39/1.08  unary                                   7
% 0.39/1.08  binary                                  0
% 0.39/1.08  lits                                    7
% 0.39/1.08  lits eq                                 7
% 0.39/1.08  fd_pure                                 0
% 0.39/1.08  fd_pseudo                               0
% 0.39/1.08  fd_cond                                 0
% 0.39/1.08  fd_pseudo_cond                          0
% 0.39/1.08  AC symbols                              0
% 0.39/1.08  
% 0.39/1.08  ------ Input Options Time Limit: Unbounded
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  ------ 
% 0.39/1.08  Current options:
% 0.39/1.08  ------ 
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  ------ Proving...
% 0.39/1.08  
% 0.39/1.08  
% 0.39/1.08  % SZS status Unsatisfiable for theBenchmark.p
% 0.39/1.08  
% 0.39/1.08  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.55/1.08  
% 0.55/1.08  
%------------------------------------------------------------------------------