TSTP Solution File: NUM030-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 02:48:08 EDT 2024

% Result   : Unsatisfiable 216.45s 29.26s
% Output   : CNFRefutation 216.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (   8 unt;   6 nHn;  11 RR)
%            Number of literals    :   40 (   3 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    symmetrization_of(x) = x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_1) ).

cnf(c_50,negated_conjecture,
    ~ subclass(inverse(x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_2) ).

cnf(c_51,plain,
    union(X0,inverse(X0)) = symmetrization_of(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',symmetrization) ).

cnf(c_118,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_119,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_120,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_121,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_139,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_141,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_142,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_143,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_388617,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_121,c_118]) ).

cnf(c_388696,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_143,c_142]) ).

cnf(c_392847,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,X2))
    | member(X0,complement(X2)) ),
    inference(superposition,[status(thm)],[c_388696,c_139]) ).

cnf(c_403488,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(inverse(X1)))
    | member(X0,symmetrization_of(X1)) ),
    inference(superposition,[status(thm)],[c_51,c_392847]) ).

cnf(c_406649,plain,
    ( ~ member(X0,inverse(X1))
    | ~ member(X0,universal_class)
    | member(X0,symmetrization_of(X1)) ),
    inference(superposition,[status(thm)],[c_403488,c_141]) ).

cnf(c_407009,plain,
    ( ~ member(X0,inverse(X1))
    | member(X0,symmetrization_of(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_406649,c_388617]) ).

cnf(c_407010,plain,
    ( member(not_subclass_element(inverse(X0),X1),symmetrization_of(X0))
    | subclass(inverse(X0),X1) ),
    inference(superposition,[status(thm)],[c_119,c_407009]) ).

cnf(c_407144,plain,
    subclass(inverse(X0),symmetrization_of(X0)),
    inference(superposition,[status(thm)],[c_407010,c_120]) ).

cnf(c_407159,plain,
    subclass(inverse(x),x),
    inference(superposition,[status(thm)],[c_49,c_407144]) ).

cnf(c_407164,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_407159,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 20:03:05 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  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
% 216.45/29.26  % SZS status Started for theBenchmark.p
% 216.45/29.26  % SZS status Unsatisfiable for theBenchmark.p
% 216.45/29.26  
% 216.45/29.26  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 216.45/29.26  
% 216.45/29.26  ------  iProver source info
% 216.45/29.26  
% 216.45/29.26  git: date: 2024-05-02 19:28:25 +0000
% 216.45/29.26  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 216.45/29.26  git: non_committed_changes: false
% 216.45/29.26  
% 216.45/29.26  ------ Parsing...successful
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 216.45/29.26  
% 216.45/29.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 216.45/29.26  
% 216.45/29.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 216.45/29.26  ------ Proving...
% 216.45/29.26  ------ Problem Properties 
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  clauses                                 139
% 216.45/29.26  conjectures                             2
% 216.45/29.26  EPR                                     14
% 216.45/29.26  Horn                                    127
% 216.45/29.26  unary                                   50
% 216.45/29.26  binary                                  58
% 216.45/29.26  lits                                    273
% 216.45/29.26  lits eq                                 63
% 216.45/29.26  fd_pure                                 0
% 216.45/29.26  fd_pseudo                               0
% 216.45/29.26  fd_cond                                 5
% 216.45/29.26  fd_pseudo_cond                          10
% 216.45/29.26  AC symbols                              0
% 216.45/29.26  
% 216.45/29.26  ------ Input Options Time Limit: Unbounded
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  ------ 
% 216.45/29.26  Current options:
% 216.45/29.26  ------ 
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  ------ Proving...
% 216.45/29.26  
% 216.45/29.26  
% 216.45/29.26  % SZS status Unsatisfiable for theBenchmark.p
% 216.45/29.26  
% 216.45/29.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 216.45/29.26  
% 216.45/29.26  
%------------------------------------------------------------------------------