TSTP Solution File: LCL384-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL384-1 : TPTP v8.1.2. Released v2.3.0.
% 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 02:37:44 EDT 2024

% Result   : Unsatisfiable 177.47s 24.21s
% Output   : CNFRefutation 177.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   30 (  12 unt;   0 nHn;   9 RR)
%            Number of literals    :   54 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   73 (  15 sgn)

% 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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

cnf(c_51,plain,
    is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).

cnf(c_52,plain,
    is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

cnf(c_53,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_45) ).

cnf(c_305,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[status(thm)],[c_49,c_52]) ).

cnf(c_351,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[status(thm)],[c_50,c_49]) ).

cnf(c_374,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[status(thm)],[c_351,c_49]) ).

cnf(c_391,plain,
    ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
    | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[c_374,c_51]) ).

cnf(c_393,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(X0,implies(not(X1),X2))) ),
    inference(resolution,[status(thm)],[c_374,c_52]) ).

cnf(c_396,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | ~ is_a_theorem(implies(X3,X1))
    | is_a_theorem(implies(X0,implies(X3,X2))) ),
    inference(resolution,[status(thm)],[c_374,c_351]) ).

cnf(c_636,plain,
    is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
    inference(resolution,[status(thm)],[c_391,c_51]) ).

cnf(c_652,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(not(X1),X2)) ),
    inference(resolution,[status(thm)],[c_393,c_49]) ).

cnf(c_655,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X2,X0))
    | is_a_theorem(implies(X2,implies(not(X1),X3))) ),
    inference(resolution,[status(thm)],[c_393,c_374]) ).

cnf(c_733,plain,
    ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
    inference(resolution,[status(thm)],[c_396,c_50]) ).

cnf(c_736,plain,
    ( ~ is_a_theorem(implies(X0,not(X1)))
    | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(resolution,[status(thm)],[c_396,c_52]) ).

cnf(c_804,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[c_736,c_391]) ).

cnf(c_834,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[c_804,c_305]) ).

cnf(c_845,plain,
    ( ~ is_a_theorem(implies(not(X0),X0))
    | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[c_834,c_391]) ).

cnf(c_1038,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X2,X0))
    | is_a_theorem(implies(not(implies(X2,X1)),X3)) ),
    inference(resolution,[status(thm)],[c_652,c_351]) ).

cnf(c_1066,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
    | is_a_theorem(implies(implies(X2,X0),implies(not(X3),X4))) ),
    inference(resolution,[status(thm)],[c_655,c_50]) ).

cnf(c_1154,plain,
    ~ is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z))),
    inference(resolution,[status(thm)],[c_733,c_53]) ).

cnf(c_1157,plain,
    ( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1)))
    | is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
    inference(resolution,[status(thm)],[c_733,c_391]) ).

cnf(c_7133,plain,
    ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
    | is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
    inference(resolution,[status(thm)],[c_1038,c_52]) ).

cnf(c_17260,plain,
    is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
    inference(resolution,[status(thm)],[c_7133,c_636]) ).

cnf(c_21744,plain,
    is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[status(thm)],[c_17260,c_845]) ).

cnf(c_22044,plain,
    is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[status(thm)],[c_21744,c_1157]) ).

cnf(c_31535,plain,
    is_a_theorem(implies(implies(not(X0),X1),implies(not(implies(implies(X1,X0),X0)),X2))),
    inference(resolution,[status(thm)],[c_22044,c_1066]) ).

cnf(c_248069,plain,
    is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[status(thm)],[c_31535,c_391]) ).

cnf(c_248526,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_1154,c_248069]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : LCL384-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.07  % Command  : run_iprover %s %d THM
% 0.06/0.26  % Computer : n015.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Thu May  2 19:24:20 EDT 2024
% 0.06/0.26  % CPUTime  : 
% 0.10/0.38  Running first-order theorem proving
% 0.10/0.38  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
% 177.47/24.21  % SZS status Started for theBenchmark.p
% 177.47/24.21  % SZS status Unsatisfiable for theBenchmark.p
% 177.47/24.21  
% 177.47/24.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 177.47/24.21  
% 177.47/24.21  ------  iProver source info
% 177.47/24.21  
% 177.47/24.21  git: date: 2024-05-02 19:28:25 +0000
% 177.47/24.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 177.47/24.21  git: non_committed_changes: false
% 177.47/24.21  
% 177.47/24.21  ------ Parsing...successful
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 177.47/24.21  
% 177.47/24.21  ------ Preprocessing...
% 177.47/24.21  ------ Proving...
% 177.47/24.21  ------ Problem Properties 
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  clauses                                 5
% 177.47/24.21  conjectures                             1
% 177.47/24.21  EPR                                     0
% 177.47/24.21  Horn                                    5
% 177.47/24.21  unary                                   4
% 177.47/24.21  binary                                  0
% 177.47/24.21  lits                                    7
% 177.47/24.21  lits eq                                 0
% 177.47/24.21  fd_pure                                 0
% 177.47/24.21  fd_pseudo                               0
% 177.47/24.21  fd_cond                                 0
% 177.47/24.21  fd_pseudo_cond                          0
% 177.47/24.21  AC symbols                              0
% 177.47/24.21  
% 177.47/24.21  ------ Input Options Time Limit: Unbounded
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  ------ 
% 177.47/24.21  Current options:
% 177.47/24.21  ------ 
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  ------ Proving...
% 177.47/24.21  
% 177.47/24.21  
% 177.47/24.21  % SZS status Unsatisfiable for theBenchmark.p
% 177.47/24.21  
% 177.47/24.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 177.47/24.22  
% 177.47/24.22  
%------------------------------------------------------------------------------