TSTP Solution File: LCL083-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL083-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:36:48 EDT 2024

% Result   : Unsatisfiable 8.35s 1.71s
% Output   : CNFRefutation 8.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).

cnf(c_51,plain,
    is_a_theorem(implies(X0,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_1) ).

cnf(c_52,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).

cnf(c_67,plain,
    implies(a,b) = sP0_iProver_def,
    definition ).

cnf(c_68,plain,
    implies(sP0_iProver_def,a) = sP1_iProver_def,
    definition ).

cnf(c_69,plain,
    implies(sP1_iProver_def,a) = sP2_iProver_def,
    definition ).

cnf(c_70,negated_conjecture,
    ~ is_a_theorem(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_52,c_67,c_68,c_69]) ).

cnf(c_182,plain,
    is_a_theorem(implies(implies(sP0_iProver_def,X0),implies(implies(X0,a),implies(X1,a)))),
    inference(superposition,[status(thm)],[c_67,c_50]) ).

cnf(c_184,plain,
    is_a_theorem(implies(implies(sP2_iProver_def,X0),implies(implies(X0,sP1_iProver_def),implies(X1,sP1_iProver_def)))),
    inference(superposition,[status(thm)],[c_69,c_50]) ).

cnf(c_191,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(X2,X0),implies(X3,X0))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_207,plain,
    is_a_theorem(implies(implies(sP0_iProver_def,sP0_iProver_def),implies(sP1_iProver_def,implies(X0,a)))),
    inference(superposition,[status(thm)],[c_68,c_182]) ).

cnf(c_277,plain,
    is_a_theorem(implies(implies(sP0_iProver_def,sP0_iProver_def),implies(sP1_iProver_def,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_69,c_207]) ).

cnf(c_383,plain,
    ( ~ is_a_theorem(implies(sP2_iProver_def,X0))
    | is_a_theorem(implies(implies(X0,sP1_iProver_def),implies(X1,sP1_iProver_def))) ),
    inference(superposition,[status(thm)],[c_184,c_49]) ).

cnf(c_585,plain,
    is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(superposition,[status(thm)],[c_50,c_191]) ).

cnf(c_586,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(superposition,[status(thm)],[c_51,c_191]) ).

cnf(c_608,plain,
    ( ~ is_a_theorem(implies(sP2_iProver_def,X0))
    | is_a_theorem(implies(implies(implies(X1,sP1_iProver_def),X0),implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_383,c_191]) ).

cnf(c_738,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X0))
    | is_a_theorem(implies(X2,X0)) ),
    inference(superposition,[status(thm)],[c_586,c_49]) ).

cnf(c_953,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_586,c_738]) ).

cnf(c_978,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_953,c_191]) ).

cnf(c_1104,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_978,c_49]) ).

cnf(c_1159,plain,
    is_a_theorem(implies(X0,implies(sP1_iProver_def,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_277,c_1104]) ).

cnf(c_1193,plain,
    is_a_theorem(implies(implies(implies(sP1_iProver_def,sP2_iProver_def),X0),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_1159,c_191]) ).

cnf(c_1425,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
    | is_a_theorem(implies(X4,implies(X1,X3))) ),
    inference(superposition,[status(thm)],[c_585,c_49]) ).

cnf(c_1627,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_978,c_1425]) ).

cnf(c_1634,plain,
    ( ~ is_a_theorem(implies(implies(sP2_iProver_def,implies(X0,a)),implies(a,X1)))
    | is_a_theorem(implies(X2,implies(a,X1))) ),
    inference(superposition,[status(thm)],[c_69,c_1425]) ).

cnf(c_1812,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_1627,c_49]) ).

cnf(c_2291,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_585,c_1812]) ).

cnf(c_2341,plain,
    is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X1),implies(X3,X1))))),
    inference(superposition,[status(thm)],[c_2291,c_1425]) ).

cnf(c_3088,plain,
    ( ~ is_a_theorem(implies(implies(sP1_iProver_def,sP2_iProver_def),X0))
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_1193,c_49]) ).

cnf(c_5959,plain,
    is_a_theorem(implies(X0,implies(a,implies(sP2_iProver_def,implies(X1,a))))),
    inference(superposition,[status(thm)],[c_2291,c_1634]) ).

cnf(c_7863,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1)))) ),
    inference(superposition,[status(thm)],[c_2341,c_49]) ).

cnf(c_9394,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X0),implies(X2,X0)))),
    inference(superposition,[status(thm)],[c_5959,c_7863]) ).

cnf(c_10013,plain,
    ( ~ is_a_theorem(implies(implies(X0,sP1_iProver_def),X1))
    | ~ is_a_theorem(implies(sP2_iProver_def,X1))
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_608,c_49]) ).

cnf(c_10459,plain,
    ( ~ is_a_theorem(implies(sP2_iProver_def,implies(implies(sP1_iProver_def,X0),implies(X1,X0))))
    | is_a_theorem(implies(X2,implies(implies(sP1_iProver_def,X0),implies(X1,X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_10013]) ).

cnf(c_15270,plain,
    is_a_theorem(implies(X0,implies(implies(sP1_iProver_def,sP2_iProver_def),implies(X1,sP2_iProver_def)))),
    inference(superposition,[status(thm)],[c_9394,c_10459]) ).

cnf(c_15679,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(sP1_iProver_def,sP2_iProver_def),implies(X1,sP2_iProver_def))) ),
    inference(superposition,[status(thm)],[c_15270,c_49]) ).

cnf(c_16254,plain,
    is_a_theorem(implies(implies(sP1_iProver_def,sP2_iProver_def),implies(X0,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_9394,c_15679]) ).

cnf(c_16273,plain,
    is_a_theorem(implies(X0,implies(X1,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_16254,c_3088]) ).

cnf(c_16275,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_16273,c_49]) ).

cnf(c_16496,plain,
    is_a_theorem(implies(X0,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_9394,c_16275]) ).

cnf(c_16508,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_16496,c_49]) ).

cnf(c_16536,plain,
    ~ is_a_theorem(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_16508,c_70]) ).

cnf(c_16537,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_16496,c_16536]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL083-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n015.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 May  2 19:38:36 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.35/1.71  % SZS status Started for theBenchmark.p
% 8.35/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 8.35/1.71  
% 8.35/1.71  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.35/1.71  
% 8.35/1.71  ------  iProver source info
% 8.35/1.71  
% 8.35/1.71  git: date: 2024-05-02 19:28:25 +0000
% 8.35/1.71  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.35/1.71  git: non_committed_changes: false
% 8.35/1.71  
% 8.35/1.71  ------ Parsing...successful
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.35/1.71  
% 8.35/1.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.35/1.71  
% 8.35/1.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.35/1.71  ------ Proving...
% 8.35/1.71  ------ Problem Properties 
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  clauses                                 7
% 8.35/1.71  conjectures                             1
% 8.35/1.71  EPR                                     1
% 8.35/1.71  Horn                                    7
% 8.35/1.71  unary                                   6
% 8.35/1.71  binary                                  0
% 8.35/1.71  lits                                    9
% 8.35/1.71  lits eq                                 3
% 8.35/1.71  fd_pure                                 0
% 8.35/1.71  fd_pseudo                               0
% 8.35/1.71  fd_cond                                 0
% 8.35/1.71  fd_pseudo_cond                          0
% 8.35/1.71  AC symbols                              0
% 8.35/1.71  
% 8.35/1.71  ------ Schedule dynamic 5 is on 
% 8.35/1.71  
% 8.35/1.71  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  ------ 
% 8.35/1.71  Current options:
% 8.35/1.71  ------ 
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  ------ Proving...
% 8.35/1.71  
% 8.35/1.71  
% 8.35/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 8.35/1.71  
% 8.35/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.35/1.71  
% 8.35/1.72  
%------------------------------------------------------------------------------