TSTP Solution File: LCL043-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL043-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:36:40 EDT 2024

% Result   : Unsatisfiable 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% 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/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

cnf(c_51,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

cnf(c_52,plain,
    is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).

cnf(c_53,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_22) ).

cnf(c_54,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).

cnf(c_55,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).

cnf(c_79,plain,
    not(a) = sP0_iProver_def,
    definition ).

cnf(c_80,plain,
    not(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_81,plain,
    implies(sP1_iProver_def,a) = sP2_iProver_def,
    definition ).

cnf(c_82,negated_conjecture,
    ~ is_a_theorem(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_55,c_79,c_80,c_81]) ).

cnf(c_193,plain,
    is_a_theorem(implies(sP0_iProver_def,implies(sP1_iProver_def,X0))),
    inference(superposition,[status(thm)],[c_80,c_50]) ).

cnf(c_215,plain,
    is_a_theorem(implies(implies(a,X0),implies(implies(sP0_iProver_def,X0),X0))),
    inference(superposition,[status(thm)],[c_79,c_54]) ).

cnf(c_225,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_232,plain,
    is_a_theorem(implies(implies(X0,a),implies(implies(sP1_iProver_def,X0),sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_81,c_53]) ).

cnf(c_275,plain,
    ( ~ is_a_theorem(implies(a,X0))
    | is_a_theorem(implies(implies(sP0_iProver_def,X0),X0)) ),
    inference(superposition,[status(thm)],[c_215,c_49]) ).

cnf(c_278,plain,
    ( ~ is_a_theorem(implies(a,a))
    | is_a_theorem(implies(implies(sP0_iProver_def,a),a)) ),
    inference(instantiation,[status(thm)],[c_275]) ).

cnf(c_362,plain,
    ( ~ is_a_theorem(implies(X0,a))
    | is_a_theorem(implies(implies(sP1_iProver_def,X0),sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_232,c_49]) ).

cnf(c_434,plain,
    is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_50,c_225]) ).

cnf(c_435,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_51,c_225]) ).

cnf(c_440,plain,
    is_a_theorem(implies(sP1_iProver_def,implies(sP0_iProver_def,X0))),
    inference(superposition,[status(thm)],[c_193,c_225]) ).

cnf(c_526,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_435,c_49]) ).

cnf(c_574,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_434,c_526]) ).

cnf(c_577,plain,
    is_a_theorem(implies(a,a)),
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_703,plain,
    ( ~ is_a_theorem(implies(X0,a))
    | ~ is_a_theorem(implies(sP1_iProver_def,X0))
    | is_a_theorem(sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_362,c_49]) ).

cnf(c_704,plain,
    ( ~ is_a_theorem(implies(X0,a))
    | ~ is_a_theorem(implies(sP1_iProver_def,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_703,c_82]) ).

cnf(c_756,plain,
    ~ is_a_theorem(implies(implies(sP0_iProver_def,X0),a)),
    inference(superposition,[status(thm)],[c_440,c_704]) ).

cnf(c_764,plain,
    ~ is_a_theorem(implies(implies(sP0_iProver_def,a),a)),
    inference(instantiation,[status(thm)],[c_756]) ).

cnf(c_765,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_764,c_577,c_278]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL043-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 19:38:21 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...successful
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 10
% 0.48/1.16  conjectures                             1
% 0.48/1.16  EPR                                     1
% 0.48/1.16  Horn                                    10
% 0.48/1.16  unary                                   9
% 0.48/1.16  binary                                  0
% 0.48/1.16  lits                                    12
% 0.48/1.16  lits eq                                 3
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 0
% 0.48/1.16  fd_pseudo_cond                          0
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule dynamic 5 is on 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16  
% 0.48/1.16  
%------------------------------------------------------------------------------