TSTP Solution File: LCL006-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 02:36:34 EDT 2024

% Result   : Unsatisfiable 3.79s 1.04s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(equivalent(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(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).

cnf(c_51,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).

cnf(c_52,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).

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

cnf(c_68,plain,
    equivalent(c,a) = sP1_iProver_def,
    definition ).

cnf(c_69,plain,
    equivalent(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_70,plain,
    equivalent(b,c) = sP3_iProver_def,
    definition ).

cnf(c_71,plain,
    equivalent(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_72,negated_conjecture,
    ~ is_a_theorem(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_52,c_70,c_68,c_67,c_69,c_71]) ).

cnf(c_180,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_214,plain,
    is_a_theorem(equivalent(equivalent(sP0_iProver_def,X0),equivalent(a,equivalent(b,X0)))),
    inference(superposition,[status(thm)],[c_67,c_51]) ).

cnf(c_218,plain,
    is_a_theorem(equivalent(equivalent(sP4_iProver_def,X0),equivalent(sP2_iProver_def,equivalent(sP3_iProver_def,X0)))),
    inference(superposition,[status(thm)],[c_71,c_51]) ).

cnf(c_220,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,c),a),equivalent(X0,sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_68,c_51]) ).

cnf(c_224,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
    | is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_429,plain,
    is_a_theorem(equivalent(equivalent(sP0_iProver_def,c),equivalent(a,sP3_iProver_def))),
    inference(superposition,[status(thm)],[c_70,c_214]) ).

cnf(c_456,plain,
    is_a_theorem(equivalent(equivalent(a,sP3_iProver_def),equivalent(sP0_iProver_def,c))),
    inference(superposition,[status(thm)],[c_429,c_180]) ).

cnf(c_662,plain,
    is_a_theorem(equivalent(equivalent(equivalent(sP0_iProver_def,c),a),sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_69,c_220]) ).

cnf(c_782,plain,
    is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))),
    inference(superposition,[status(thm)],[c_50,c_224]) ).

cnf(c_783,plain,
    is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
    inference(superposition,[status(thm)],[c_51,c_224]) ).

cnf(c_793,plain,
    is_a_theorem(equivalent(sP4_iProver_def,equivalent(X0,equivalent(sP2_iProver_def,equivalent(sP3_iProver_def,X0))))),
    inference(superposition,[status(thm)],[c_218,c_224]) ).

cnf(c_802,plain,
    is_a_theorem(equivalent(a,equivalent(sP3_iProver_def,equivalent(sP0_iProver_def,c)))),
    inference(superposition,[status(thm)],[c_456,c_224]) ).

cnf(c_908,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(X1,equivalent(X1,X0))) ),
    inference(superposition,[status(thm)],[c_782,c_49]) ).

cnf(c_924,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(equivalent(equivalent(X1,X0),X1)) ),
    inference(superposition,[status(thm)],[c_908,c_180]) ).

cnf(c_925,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | is_a_theorem(equivalent(X1,X0)) ),
    inference(superposition,[status(thm)],[c_908,c_49]) ).

cnf(c_1524,plain,
    is_a_theorem(equivalent(equivalent(sP3_iProver_def,equivalent(sP0_iProver_def,c)),a)),
    inference(superposition,[status(thm)],[c_802,c_180]) ).

cnf(c_1763,plain,
    is_a_theorem(equivalent(sP3_iProver_def,equivalent(equivalent(sP0_iProver_def,c),a))),
    inference(superposition,[status(thm)],[c_1524,c_224]) ).

cnf(c_2820,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_924,c_49]) ).

cnf(c_4749,plain,
    ( ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_783,c_49]) ).

cnf(c_6741,plain,
    ( ~ is_a_theorem(equivalent(X0,equivalent(sP2_iProver_def,equivalent(sP3_iProver_def,X0))))
    | is_a_theorem(sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_793,c_2820]) ).

cnf(c_6746,plain,
    ~ is_a_theorem(equivalent(X0,equivalent(sP2_iProver_def,equivalent(sP3_iProver_def,X0)))),
    inference(forward_subsumption_resolution,[status(thm)],[c_6741,c_72]) ).

cnf(c_6851,plain,
    ( ~ is_a_theorem(equivalent(sP2_iProver_def,equivalent(sP3_iProver_def,X0)))
    | ~ is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_925,c_6746]) ).

cnf(c_6903,plain,
    ( ~ is_a_theorem(equivalent(X0,sP2_iProver_def))
    | ~ is_a_theorem(equivalent(sP3_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_4749,c_6851]) ).

cnf(c_6959,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(sP0_iProver_def,c),a),sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_1763,c_6903]) ).

cnf(c_6972,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6959,c_662]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : LCL006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu May  2 19:14:08 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  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
% 3.79/1.04  % SZS status Started for theBenchmark.p
% 3.79/1.04  % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.04  
% 3.79/1.04  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.79/1.04  
% 3.79/1.04  ------  iProver source info
% 3.79/1.04  
% 3.79/1.04  git: date: 2024-05-02 19:28:25 +0000
% 3.79/1.04  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.79/1.04  git: non_committed_changes: false
% 3.79/1.04  
% 3.79/1.04  ------ Parsing...successful
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.79/1.04  
% 3.79/1.04  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.04  
% 3.79/1.04  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.79/1.04  ------ Proving...
% 3.79/1.04  ------ Problem Properties 
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  clauses                                 9
% 3.79/1.04  conjectures                             1
% 3.79/1.04  EPR                                     1
% 3.79/1.04  Horn                                    9
% 3.79/1.04  unary                                   8
% 3.79/1.04  binary                                  0
% 3.79/1.04  lits                                    11
% 3.79/1.04  lits eq                                 5
% 3.79/1.04  fd_pure                                 0
% 3.79/1.04  fd_pseudo                               0
% 3.79/1.04  fd_cond                                 0
% 3.79/1.04  fd_pseudo_cond                          0
% 3.79/1.04  AC symbols                              0
% 3.79/1.04  
% 3.79/1.04  ------ Schedule dynamic 5 is on 
% 3.79/1.04  
% 3.79/1.04  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  ------ 
% 3.79/1.04  Current options:
% 3.79/1.04  ------ 
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  ------ Proving...
% 3.79/1.04  
% 3.79/1.04  
% 3.79/1.04  % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.04  
% 3.79/1.04  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.04  
% 3.79/1.04  
%------------------------------------------------------------------------------