TSTP Solution File: SET154-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET154-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 : Mon Jun 24 14:33:32 EDT 2024

% Result   : Unsatisfiable 36.43s 5.74s
% Output   : CNFRefutation 36.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    union(complement(x),x) != universal_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_with_complement_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_91,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

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_3029,plain,
    complement(x) = sP0_iProver_def,
    definition ).

cnf(c_3030,plain,
    union(sP0_iProver_def,x) = sP1_iProver_def,
    definition ).

cnf(c_3031,negated_conjecture,
    sP1_iProver_def != universal_class,
    inference(demodulation,[status(thm)],[c_49,c_3029,c_3030]) ).

cnf(c_4261,plain,
    ( ~ member(not_subclass_element(complement(X0),X1),X0)
    | subclass(complement(X0),X1) ),
    inference(superposition,[status(thm)],[c_72,c_94]) ).

cnf(c_4263,plain,
    ( ~ member(X0,x)
    | ~ member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_3029,c_94]) ).

cnf(c_4447,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_74,c_71]) ).

cnf(c_4509,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_72,c_4447]) ).

cnf(c_4568,plain,
    ( ~ member(X0,universal_class)
    | member(X0,x)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_3029,c_95]) ).

cnf(c_4599,plain,
    complement(intersection(complement(X0),sP0_iProver_def)) = union(X0,x),
    inference(superposition,[status(thm)],[c_3029,c_96]) ).

cnf(c_4891,plain,
    ( member(not_subclass_element(X0,X1),x)
    | member(not_subclass_element(X0,X1),sP0_iProver_def)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_4509,c_4568]) ).

cnf(c_5049,plain,
    ( ~ subclass(universal_class,sP1_iProver_def)
    | ~ subclass(sP1_iProver_def,universal_class)
    | sP1_iProver_def = universal_class ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_5189,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),sP0_iProver_def))
    | member(X0,union(X1,x)) ),
    inference(superposition,[status(thm)],[c_4599,c_95]) ).

cnf(c_8114,plain,
    subclass(sP1_iProver_def,universal_class),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_22513,plain,
    ( member(not_subclass_element(X0,x),sP0_iProver_def)
    | subclass(X0,x) ),
    inference(superposition,[status(thm)],[c_4891,c_73]) ).

cnf(c_22581,plain,
    subclass(complement(sP0_iProver_def),x),
    inference(superposition,[status(thm)],[c_22513,c_4261]) ).

cnf(c_22591,plain,
    ( ~ member(X0,complement(sP0_iProver_def))
    | member(X0,x) ),
    inference(superposition,[status(thm)],[c_22581,c_71]) ).

cnf(c_96468,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,x))
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_5189,c_92]) ).

cnf(c_96469,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,x))
    | member(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_5189,c_91]) ).

cnf(c_96796,plain,
    ( ~ member(X0,universal_class)
    | member(X0,sP0_iProver_def)
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_3030,c_96468]) ).

cnf(c_97670,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(sP0_iProver_def))
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_3030,c_96469]) ).

cnf(c_97903,plain,
    ( ~ member(X0,universal_class)
    | member(X0,sP1_iProver_def) ),
    inference(global_subsumption_just,[status(thm)],[c_97670,c_4263,c_22591,c_96796,c_97670]) ).

cnf(c_97910,plain,
    ( member(not_subclass_element(universal_class,X0),sP1_iProver_def)
    | subclass(universal_class,X0) ),
    inference(superposition,[status(thm)],[c_72,c_97903]) ).

cnf(c_98158,plain,
    subclass(universal_class,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_97910,c_73]) ).

cnf(c_98164,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_98158,c_8114,c_5049,c_3031]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET154-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jun 23 12:24:39 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 36.43/5.74  % SZS status Started for theBenchmark.p
% 36.43/5.74  % SZS status Unsatisfiable for theBenchmark.p
% 36.43/5.74  
% 36.43/5.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 36.43/5.74  
% 36.43/5.74  ------  iProver source info
% 36.43/5.74  
% 36.43/5.74  git: date: 2024-06-12 09:56:46 +0000
% 36.43/5.74  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 36.43/5.74  git: non_committed_changes: false
% 36.43/5.74  
% 36.43/5.74  ------ Parsing...successful
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  ------ 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 
% 36.43/5.74  
% 36.43/5.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 36.43/5.74  
% 36.43/5.74  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 36.43/5.74  ------ Proving...
% 36.43/5.74  ------ Problem Properties 
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  clauses                                 103
% 36.43/5.74  conjectures                             1
% 36.43/5.74  EPR                                     13
% 36.43/5.74  Horn                                    95
% 36.43/5.74  unary                                   42
% 36.43/5.74  binary                                  40
% 36.43/5.74  lits                                    191
% 36.43/5.74  lits eq                                 47
% 36.43/5.74  fd_pure                                 0
% 36.43/5.74  fd_pseudo                               0
% 36.43/5.74  fd_cond                                 3
% 36.43/5.74  fd_pseudo_cond                          7
% 36.43/5.74  AC symbols                              0
% 36.43/5.74  
% 36.43/5.74  ------ Schedule dynamic 5 is on 
% 36.43/5.74  
% 36.43/5.74  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  ------ 
% 36.43/5.74  Current options:
% 36.43/5.74  ------ 
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  ------ Proving...
% 36.43/5.74  
% 36.43/5.74  
% 36.43/5.74  % SZS status Unsatisfiable for theBenchmark.p
% 36.43/5.74  
% 36.43/5.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.43/5.74  
% 36.43/5.74  
%------------------------------------------------------------------------------