TSTP Solution File: SET849-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 15:10:16 EDT 2023

% Result   : Unsatisfiable 1.48s 1.16s
% Output   : CNFRefutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   8 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   19 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

cnf(c_50,plain,
    ( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
    | c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

cnf(c_51,plain,
    ( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
    | c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).

cnf(c_52,negated_conjecture,
    c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_83,plain,
    ( tc_set(tc_set(tc_set(X0))) != tc_set(X1)
    | c_Zorn_OTFin(X2,X0) != X3
    | X3 != X4
    | c_in(c_Union(X4,tc_set(X0)),c_Zorn_OTFin(X2,X0),tc_set(tc_set(X0))) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_50]) ).

cnf(c_84,plain,
    ( tc_set(tc_set(tc_set(X0))) != tc_set(X1)
    | c_in(c_Union(c_Zorn_OTFin(X2,X0),tc_set(X0)),c_Zorn_OTFin(X2,X0),tc_set(tc_set(X0))) ),
    inference(unflattening,[status(thm)],[c_83]) ).

cnf(c_283,plain,
    c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
    inference(equality_resolution,[status(thm)],[c_84]) ).

cnf(c_285,plain,
    c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
    inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_283]) ).

cnf(c_288,plain,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    inference(demodulation,[status(thm)],[c_52,c_285]) ).

cnf(c_289,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_288]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n008.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 : Sat Aug 26 12:43:18 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.48/1.16  % SZS status Started for theBenchmark.p
% 1.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.16  
% 1.48/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.48/1.16  
% 1.48/1.16  ------  iProver source info
% 1.48/1.16  
% 1.48/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.48/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.48/1.16  git: non_committed_changes: false
% 1.48/1.16  git: last_make_outside_of_git: false
% 1.48/1.16  
% 1.48/1.16  ------ Parsing...successful
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 1.48/1.16  
% 1.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.48/1.16  
% 1.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.48/1.16  ------ Proving...
% 1.48/1.16  ------ Problem Properties 
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  clauses                                 3
% 1.48/1.16  conjectures                             1
% 1.48/1.16  EPR                                     0
% 1.48/1.16  Horn                                    3
% 1.48/1.16  unary                                   1
% 1.48/1.16  binary                                  2
% 1.48/1.16  lits                                    5
% 1.48/1.16  lits eq                                 3
% 1.48/1.16  fd_pure                                 0
% 1.48/1.16  fd_pseudo                               0
% 1.48/1.16  fd_cond                                 0
% 1.48/1.16  fd_pseudo_cond                          0
% 1.48/1.16  AC symbols                              0
% 1.48/1.16  
% 1.48/1.16  ------ Schedule dynamic 5 is on 
% 1.48/1.16  
% 1.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  ------ 
% 1.48/1.16  Current options:
% 1.48/1.16  ------ 
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  ------ Proving...
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.16  
% 1.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.48/1.16  
% 1.48/1.16  
%------------------------------------------------------------------------------