TSTP Solution File: SET063-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:59:38 EDT 2024

% Result   : Unsatisfiable 3.48s 1.17s
% Output   : CNFRefutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   9 unt;   2 nHn;   9 RR)
%            Number of literals    :   23 (   4 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   15 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_54,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X2)
    | subclass(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_subclass) ).

cnf(c_60,plain,
    ~ member(X0,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

cnf(c_61,plain,
    subclass(null_class,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).

cnf(c_62,negated_conjecture,
    subclass(x,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).

cnf(c_63,negated_conjecture,
    null_class != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).

cnf(c_64,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_129,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_2909,negated_conjecture,
    null_class != x,
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_2910,negated_conjecture,
    subclass(x,null_class),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_4211,plain,
    ( ~ subclass(null_class,X0)
    | subclass(x,X0) ),
    inference(superposition,[status(thm)],[c_2910,c_54]) ).

cnf(c_4227,plain,
    subclass(x,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_4211,c_61]) ).

cnf(c_4311,plain,
    ( ~ member(X0,x)
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_4227,c_64]) ).

cnf(c_4367,plain,
    ( null_class = x
    | member(regular(x),X0) ),
    inference(superposition,[status(thm)],[c_129,c_4311]) ).

cnf(c_4368,plain,
    member(regular(x),X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_4367,c_2909]) ).

cnf(c_4370,plain,
    $false,
    inference(superposition,[status(thm)],[c_4368,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 20:22:50 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 3.48/1.17  % SZS status Started for theBenchmark.p
% 3.48/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.48/1.17  
% 3.48/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.48/1.17  
% 3.48/1.17  ------  iProver source info
% 3.48/1.17  
% 3.48/1.17  git: date: 2024-05-02 19:28:25 +0000
% 3.48/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.48/1.17  git: non_committed_changes: false
% 3.48/1.17  
% 3.48/1.17  ------ Parsing...successful
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.48/1.17  
% 3.48/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.48/1.17  
% 3.48/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.48/1.17  ------ Proving...
% 3.48/1.17  ------ Problem Properties 
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  clauses                                 96
% 3.48/1.17  conjectures                             2
% 3.48/1.17  EPR                                     17
% 3.48/1.17  Horn                                    86
% 3.48/1.17  unary                                   36
% 3.48/1.17  binary                                  36
% 3.48/1.17  lits                                    186
% 3.48/1.17  lits eq                                 40
% 3.48/1.17  fd_pure                                 0
% 3.48/1.17  fd_pseudo                               0
% 3.48/1.17  fd_cond                                 3
% 3.48/1.17  fd_pseudo_cond                          6
% 3.48/1.17  AC symbols                              0
% 3.48/1.17  
% 3.48/1.17  ------ Schedule dynamic 5 is on 
% 3.48/1.17  
% 3.48/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  ------ 
% 3.48/1.17  Current options:
% 3.48/1.17  ------ 
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  ------ Proving...
% 3.48/1.17  
% 3.48/1.17  
% 3.48/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.48/1.17  
% 3.48/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.48/1.17  
% 3.48/1.17  
%------------------------------------------------------------------------------