TSTP Solution File: SET149-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET149-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:00:05 EDT 2024

% Result   : Unsatisfiable 1.37s 1.11s
% Output   : CNFRefutation 1.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    intersection(x,intersection(x,y)) != intersection(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_idempotency_of_intersection_1) ).

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_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_93,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(c_3029,plain,
    intersection(x,y) = sP0_iProver_def,
    definition ).

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

cnf(c_3031,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_3029,c_3030]) ).

cnf(c_4207,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,x) ),
    inference(superposition,[status(thm)],[c_3029,c_91]) ).

cnf(c_4259,plain,
    ( ~ member(X0,sP1_iProver_def)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_3030,c_92]) ).

cnf(c_4332,plain,
    ( member(not_subclass_element(sP1_iProver_def,X0),sP0_iProver_def)
    | subclass(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_72,c_4259]) ).

cnf(c_4431,plain,
    subclass(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_4332,c_73]) ).

cnf(c_4799,plain,
    ( ~ subclass(sP0_iProver_def,sP1_iProver_def)
    | ~ subclass(sP1_iProver_def,sP0_iProver_def)
    | sP1_iProver_def = sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_5091,plain,
    ( ~ subclass(sP0_iProver_def,sP1_iProver_def)
    | sP0_iProver_def = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_4431,c_77]) ).

cnf(c_5207,plain,
    ~ subclass(sP0_iProver_def,sP1_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_5091,c_3031,c_4431,c_4799]) ).

cnf(c_5626,plain,
    ( ~ member(X0,x)
    | ~ member(X0,sP0_iProver_def)
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_3030,c_93]) ).

cnf(c_6920,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,sP1_iProver_def) ),
    inference(global_subsumption_just,[status(thm)],[c_5626,c_4207,c_5626]) ).

cnf(c_6927,plain,
    ( member(not_subclass_element(sP0_iProver_def,X0),sP1_iProver_def)
    | subclass(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_72,c_6920]) ).

cnf(c_6987,plain,
    subclass(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_6927,c_73]) ).

cnf(c_6992,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6987,c_5207]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET149-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 20:22:53 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 1.37/1.11  % SZS status Started for theBenchmark.p
% 1.37/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.11  
% 1.37/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.37/1.11  
% 1.37/1.11  ------  iProver source info
% 1.37/1.11  
% 1.37/1.11  git: date: 2024-05-02 19:28:25 +0000
% 1.37/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.37/1.11  git: non_committed_changes: false
% 1.37/1.11  
% 1.37/1.11  ------ Parsing...successful
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  ------ 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 
% 1.37/1.11  
% 1.37/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.37/1.11  
% 1.37/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.37/1.11  ------ Proving...
% 1.37/1.11  ------ Problem Properties 
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  clauses                                 103
% 1.37/1.11  conjectures                             1
% 1.37/1.11  EPR                                     13
% 1.37/1.11  Horn                                    95
% 1.37/1.11  unary                                   42
% 1.37/1.11  binary                                  40
% 1.37/1.11  lits                                    191
% 1.37/1.11  lits eq                                 47
% 1.37/1.11  fd_pure                                 0
% 1.37/1.11  fd_pseudo                               0
% 1.37/1.11  fd_cond                                 3
% 1.37/1.11  fd_pseudo_cond                          7
% 1.37/1.11  AC symbols                              0
% 1.37/1.11  
% 1.37/1.11  ------ Schedule dynamic 5 is on 
% 1.37/1.11  
% 1.37/1.11  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  ------ 
% 1.37/1.11  Current options:
% 1.37/1.11  ------ 
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  ------ Proving...
% 1.37/1.11  
% 1.37/1.11  
% 1.37/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.11  
% 1.37/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.37/1.11  
% 1.37/1.11  
%------------------------------------------------------------------------------