TSTP Solution File: LCL114-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL114-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:36:54 EDT 2024

% Result   : Unsatisfiable 173.66s 23.74s
% Output   : CNFRefutation 173.66s
% 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(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).

cnf(c_51,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).

cnf(c_52,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).

cnf(c_53,plain,
    is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).

cnf(c_54,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_36) ).

cnf(c_75,plain,
    implies(a,b) = sP0_iProver_def,
    definition ).

cnf(c_76,plain,
    not(b) = sP1_iProver_def,
    definition ).

cnf(c_77,plain,
    not(a) = sP2_iProver_def,
    definition ).

cnf(c_78,plain,
    implies(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_79,plain,
    implies(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_80,negated_conjecture,
    ~ is_a_theorem(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_54,c_77,c_76,c_78,c_75,c_79]) ).

cnf(c_223,plain,
    is_a_theorem(implies(implies(not(sP2_iProver_def),not(sP1_iProver_def)),sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_78,c_53]) ).

cnf(c_245,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_743,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_245,c_49]) ).

cnf(c_1383,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X0,X3))
    | is_a_theorem(implies(implies(X3,X1),X2)) ),
    inference(superposition,[status(thm)],[c_245,c_743]) ).

cnf(c_15496,plain,
    ( ~ is_a_theorem(implies(not(sP2_iProver_def),X0))
    | is_a_theorem(implies(implies(X0,not(sP1_iProver_def)),sP3_iProver_def)) ),
    inference(superposition,[status(thm)],[c_223,c_1383]) ).

cnf(c_15867,plain,
    ( ~ is_a_theorem(implies(not(sP2_iProver_def),a))
    | is_a_theorem(implies(implies(a,not(sP1_iProver_def)),sP3_iProver_def)) ),
    inference(instantiation,[status(thm)],[c_15496]) ).

cnf(c_195218,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_195233,plain,
    is_a_theorem(implies(implies(sP2_iProver_def,not(X0)),implies(X0,a))),
    inference(superposition,[status(thm)],[c_77,c_53]) ).

cnf(c_195243,plain,
    is_a_theorem(implies(sP0_iProver_def,implies(implies(b,X0),implies(a,X0)))),
    inference(superposition,[status(thm)],[c_75,c_51]) ).

cnf(c_195251,plain,
    is_a_theorem(implies(implies(sP0_iProver_def,X0),implies(implies(X0,sP3_iProver_def),sP4_iProver_def))),
    inference(superposition,[status(thm)],[c_79,c_51]) ).

cnf(c_195252,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_195297,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X1))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_195504,plain,
    ( ~ is_a_theorem(implies(sP0_iProver_def,X0))
    | is_a_theorem(implies(implies(X0,sP3_iProver_def),sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_195251,c_49]) ).

cnf(c_195616,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_195252,c_49]) ).

cnf(c_195702,plain,
    ( ~ is_a_theorem(implies(X0,sP3_iProver_def))
    | ~ is_a_theorem(implies(sP0_iProver_def,X0))
    | is_a_theorem(sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_195504,c_49]) ).

cnf(c_195703,plain,
    ( ~ is_a_theorem(implies(X0,sP3_iProver_def))
    | ~ is_a_theorem(implies(sP0_iProver_def,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_195702,c_80]) ).

cnf(c_195751,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(superposition,[status(thm)],[c_195218,c_195297]) ).

cnf(c_196088,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_195616]) ).

cnf(c_196091,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(not(X1),not(X0)),X2)) ),
    inference(superposition,[status(thm)],[c_53,c_195616]) ).

cnf(c_196104,plain,
    ( ~ is_a_theorem(implies(implies(implies(b,X0),implies(a,X0)),X1))
    | is_a_theorem(implies(sP0_iProver_def,X1)) ),
    inference(superposition,[status(thm)],[c_195243,c_195616]) ).

cnf(c_196113,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X0,X3))
    | is_a_theorem(implies(implies(X3,X1),X2)) ),
    inference(superposition,[status(thm)],[c_195252,c_195616]) ).

cnf(c_196405,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(superposition,[status(thm)],[c_50,c_196088]) ).

cnf(c_196408,plain,
    is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_53,c_196088]) ).

cnf(c_196429,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_195751,c_196088]) ).

cnf(c_196499,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(not(X0),X2)) ),
    inference(superposition,[status(thm)],[c_196408,c_195616]) ).

cnf(c_196819,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_196405,c_196429]) ).

cnf(c_197594,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X2,X3))
    | is_a_theorem(implies(implies(not(X1),not(X0)),X3)) ),
    inference(superposition,[status(thm)],[c_196091,c_195616]) ).

cnf(c_197595,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(not(X1),not(X0)))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_196091,c_49]) ).

cnf(c_197653,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X2,implies(X1,X0))) ),
    inference(superposition,[status(thm)],[c_50,c_197595]) ).

cnf(c_197659,plain,
    ( ~ is_a_theorem(implies(not(not(X0)),not(sP2_iProver_def)))
    | is_a_theorem(implies(X0,a)) ),
    inference(superposition,[status(thm)],[c_195233,c_197595]) ).

cnf(c_198051,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_196819,c_197653]) ).

cnf(c_198143,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
    inference(superposition,[status(thm)],[c_198051,c_195297]) ).

cnf(c_210050,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(X2,X1),implies(implies(X1,X0),X0))) ),
    inference(superposition,[status(thm)],[c_52,c_196113]) ).

cnf(c_238737,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X2,X1))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_210050,c_49]) ).

cnf(c_280167,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X2))
    | is_a_theorem(implies(implies(X2,X1),X1)) ),
    inference(superposition,[status(thm)],[c_50,c_238737]) ).

cnf(c_339303,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
    | is_a_theorem(implies(implies(not(X0),not(implies(X1,X0))),X2)) ),
    inference(superposition,[status(thm)],[c_52,c_197594]) ).

cnf(c_382624,plain,
    is_a_theorem(implies(implies(not(X0),not(implies(X0,X0))),X0)),
    inference(superposition,[status(thm)],[c_198143,c_339303]) ).

cnf(c_388263,plain,
    is_a_theorem(implies(not(not(X0)),X0)),
    inference(superposition,[status(thm)],[c_382624,c_196499]) ).

cnf(c_389014,plain,
    is_a_theorem(implies(X0,implies(X1,not(not(X1))))),
    inference(superposition,[status(thm)],[c_388263,c_197653]) ).

cnf(c_389056,plain,
    is_a_theorem(implies(not(sP2_iProver_def),a)),
    inference(superposition,[status(thm)],[c_388263,c_197659]) ).

cnf(c_392442,plain,
    is_a_theorem(implies(X0,implies(b,not(sP1_iProver_def)))),
    inference(superposition,[status(thm)],[c_76,c_389014]) ).

cnf(c_392738,plain,
    is_a_theorem(implies(implies(implies(b,not(sP1_iProver_def)),X0),X0)),
    inference(superposition,[status(thm)],[c_392442,c_280167]) ).

cnf(c_409700,plain,
    is_a_theorem(implies(sP0_iProver_def,implies(a,not(sP1_iProver_def)))),
    inference(superposition,[status(thm)],[c_392738,c_196104]) ).

cnf(c_412160,plain,
    ~ is_a_theorem(implies(implies(a,not(sP1_iProver_def)),sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_409700,c_195703]) ).

cnf(c_412168,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_412160,c_389056,c_15867]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : LCL114-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n008.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 19:12:12 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 173.66/23.74  % SZS status Started for theBenchmark.p
% 173.66/23.74  % SZS status Unsatisfiable for theBenchmark.p
% 173.66/23.74  
% 173.66/23.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 173.66/23.74  
% 173.66/23.74  ------  iProver source info
% 173.66/23.74  
% 173.66/23.74  git: date: 2024-05-02 19:28:25 +0000
% 173.66/23.74  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 173.66/23.74  git: non_committed_changes: false
% 173.66/23.74  
% 173.66/23.74  ------ Parsing...successful
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 173.66/23.74  
% 173.66/23.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 173.66/23.74  
% 173.66/23.74  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 173.66/23.74  ------ Proving...
% 173.66/23.74  ------ Problem Properties 
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  clauses                                 11
% 173.66/23.74  conjectures                             1
% 173.66/23.74  EPR                                     1
% 173.66/23.74  Horn                                    11
% 173.66/23.74  unary                                   10
% 173.66/23.74  binary                                  0
% 173.66/23.74  lits                                    13
% 173.66/23.74  lits eq                                 5
% 173.66/23.74  fd_pure                                 0
% 173.66/23.74  fd_pseudo                               0
% 173.66/23.74  fd_cond                                 0
% 173.66/23.74  fd_pseudo_cond                          0
% 173.66/23.74  AC symbols                              0
% 173.66/23.74  
% 173.66/23.74  ------ Schedule dynamic 5 is on 
% 173.66/23.74  
% 173.66/23.74  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  ------ 
% 173.66/23.74  Current options:
% 173.66/23.74  ------ 
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  ------ Proving...
% 173.66/23.74  Proof_search_loop: time out after: 5282 full_loop iterations
% 173.66/23.74  
% 173.66/23.74  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  ------ 
% 173.66/23.74  Current options:
% 173.66/23.74  ------ 
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  ------ Proving...
% 173.66/23.74  
% 173.66/23.74  
% 173.66/23.74  % SZS status Unsatisfiable for theBenchmark.p
% 173.66/23.74  
% 173.66/23.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 173.66/23.74  
% 173.66/23.75  
%------------------------------------------------------------------------------