TSTP Solution File: SET195-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 : Thu Aug 31 15:07:06 EDT 2023

% Result   : Unsatisfiable 217.42s 29.48s
% Output   : CNFRefutation 217.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   37 (  12 unt;  15 nHn;  17 RR)
%            Number of literals    :   70 (   5 equ;  20 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   68 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ subclass(y,union(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_upper_bound2_1) ).

cnf(c_71,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_72,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_73,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_74,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_77,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_94,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_95,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_96,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_4585,plain,
    ( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
    | member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_95,c_73]) ).

cnf(c_42078,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_74,c_71]) ).

cnf(c_42154,plain,
    ( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
    | member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_95,c_73]) ).

cnf(c_42225,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_72,c_42078]) ).

cnf(c_42316,plain,
    ( member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_42154,c_42225]) ).

cnf(c_42321,plain,
    ( member(not_subclass_element(X0,complement(X1)),universal_class)
    | subclass(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_42316,c_42078]) ).

cnf(c_205342,plain,
    ( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
    | member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_95,c_73]) ).

cnf(c_205498,plain,
    ( member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_205342,c_4585,c_42321]) ).

cnf(c_345978,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_74,c_71]) ).

cnf(c_346216,plain,
    ( ~ member(not_subclass_element(complement(X0),X1),X0)
    | subclass(complement(X0),X1) ),
    inference(superposition,[status(thm)],[c_72,c_94]) ).

cnf(c_346227,plain,
    ( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
    | member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_95,c_73]) ).

cnf(c_346240,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_72,c_345978]) ).

cnf(c_349327,plain,
    ( ~ member(not_subclass_element(complement(complement(X0)),X1),universal_class)
    | member(not_subclass_element(complement(complement(X0)),X1),X0)
    | subclass(complement(complement(X0)),X1) ),
    inference(superposition,[status(thm)],[c_95,c_346216]) ).

cnf(c_349386,plain,
    ( member(not_subclass_element(X0,complement(X1)),X1)
    | subclass(X0,complement(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_346227,c_205498]) ).

cnf(c_349399,plain,
    ( member(not_subclass_element(X0,complement(intersection(X1,X2))),X2)
    | subclass(X0,complement(intersection(X1,X2))) ),
    inference(superposition,[status(thm)],[c_349386,c_92]) ).

cnf(c_349401,plain,
    ( ~ member(not_subclass_element(X0,complement(complement(X1))),X1)
    | subclass(X0,complement(complement(X1))) ),
    inference(superposition,[status(thm)],[c_349386,c_94]) ).

cnf(c_382327,plain,
    ( member(not_subclass_element(complement(complement(X0)),X1),X0)
    | subclass(complement(complement(X0)),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_349327,c_346240]) ).

cnf(c_382338,plain,
    subclass(complement(complement(X0)),X0),
    inference(superposition,[status(thm)],[c_382327,c_73]) ).

cnf(c_384449,plain,
    subclass(complement(X0),complement(intersection(X1,X0))),
    inference(superposition,[status(thm)],[c_349399,c_346216]) ).

cnf(c_385390,plain,
    subclass(X0,complement(complement(X0))),
    inference(superposition,[status(thm)],[c_72,c_349401]) ).

cnf(c_385620,plain,
    ( ~ subclass(complement(complement(X0)),X0)
    | complement(complement(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_385390,c_77]) ).

cnf(c_385629,plain,
    complement(complement(X0)) = X0,
    inference(forward_subsumption_resolution,[status(thm)],[c_385620,c_382338]) ).

cnf(c_386592,plain,
    complement(intersection(X0,complement(X1))) = union(complement(X0),X1),
    inference(superposition,[status(thm)],[c_385629,c_96]) ).

cnf(c_390572,plain,
    subclass(X0,complement(intersection(X1,complement(X0)))),
    inference(superposition,[status(thm)],[c_385629,c_384449]) ).

cnf(c_394450,plain,
    subclass(X0,union(complement(X1),X0)),
    inference(demodulation,[status(thm)],[c_390572,c_386592]) ).

cnf(c_394457,plain,
    subclass(X0,union(X1,X0)),
    inference(superposition,[status(thm)],[c_385629,c_394450]) ).

cnf(c_394465,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_394457]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 12:13:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.52  Running first-order theorem proving
% 0.20/0.52  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 217.42/29.48  % SZS status Started for theBenchmark.p
% 217.42/29.48  % SZS status Unsatisfiable for theBenchmark.p
% 217.42/29.48  
% 217.42/29.48  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 217.42/29.48  
% 217.42/29.48  ------  iProver source info
% 217.42/29.48  
% 217.42/29.48  git: date: 2023-05-31 18:12:56 +0000
% 217.42/29.48  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 217.42/29.48  git: non_committed_changes: false
% 217.42/29.48  git: last_make_outside_of_git: false
% 217.42/29.48  
% 217.42/29.48  ------ Parsing...successful
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 217.42/29.48  
% 217.42/29.48  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 217.42/29.48  
% 217.42/29.48  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 217.42/29.48  ------ Proving...
% 217.42/29.48  ------ Problem Properties 
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  clauses                                 101
% 217.42/29.48  conjectures                             1
% 217.42/29.48  EPR                                     12
% 217.42/29.48  Horn                                    93
% 217.42/29.48  unary                                   40
% 217.42/29.48  binary                                  40
% 217.42/29.48  lits                                    189
% 217.42/29.48  lits eq                                 44
% 217.42/29.48  fd_pure                                 0
% 217.42/29.48  fd_pseudo                               0
% 217.42/29.48  fd_cond                                 3
% 217.42/29.48  fd_pseudo_cond                          7
% 217.42/29.48  AC symbols                              0
% 217.42/29.48  
% 217.42/29.48  ------ Schedule dynamic 5 is on 
% 217.42/29.48  
% 217.42/29.48  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ 
% 217.42/29.48  Current options:
% 217.42/29.48  ------ 
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ Proving...
% 217.42/29.48  Proof_search_loop: time out after: 5010 full_loop iterations
% 217.42/29.48  
% 217.42/29.48  ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ 
% 217.42/29.48  Current options:
% 217.42/29.48  ------ 
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ Proving...
% 217.42/29.48  Proof_search_loop: time out after: 5290 full_loop iterations
% 217.42/29.48  
% 217.42/29.48  ------ Option_1: Negative Selections Time Limit: 35.
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ 
% 217.42/29.48  Current options:
% 217.42/29.48  ------ 
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  ------ Proving...
% 217.42/29.48  
% 217.42/29.48  
% 217.42/29.48  % SZS status Unsatisfiable for theBenchmark.p
% 217.42/29.48  
% 217.42/29.48  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 217.42/29.48  
% 217.42/29.49  
%------------------------------------------------------------------------------