TSTP Solution File: SET850-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET850-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:01:47 EDT 2024

% Result   : Unsatisfiable 7.94s 1.62s
% Output   : CNFRefutation 7.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   11 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_lessequals(X3,X0,tc_set(X2))
    | c_lessequals(X3,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(c_50,plain,
    c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(c_51,negated_conjecture,
    c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_52,negated_conjecture,
    ~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_23115,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
    | c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_23147,plain,
    ~ c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_23115,c_52]) ).

cnf(c_23149,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_23147]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET850-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:24:10 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 7.94/1.62  % SZS status Started for theBenchmark.p
% 7.94/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.62  
% 7.94/1.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.94/1.62  
% 7.94/1.62  ------  iProver source info
% 7.94/1.62  
% 7.94/1.62  git: date: 2024-05-02 19:28:25 +0000
% 7.94/1.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.94/1.62  git: non_committed_changes: false
% 7.94/1.62  
% 7.94/1.62  ------ Parsing...successful
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 7.94/1.62  
% 7.94/1.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.94/1.62  
% 7.94/1.62  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.94/1.62  ------ Proving...
% 7.94/1.62  ------ Problem Properties 
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  clauses                                 299
% 7.94/1.62  conjectures                             2
% 7.94/1.62  EPR                                     26
% 7.94/1.62  Horn                                    272
% 7.94/1.62  unary                                   78
% 7.94/1.62  binary                                  173
% 7.94/1.62  lits                                    568
% 7.94/1.62  lits eq                                 162
% 7.94/1.62  fd_pure                                 0
% 7.94/1.62  fd_pseudo                               0
% 7.94/1.62  fd_cond                                 21
% 7.94/1.62  fd_pseudo_cond                          40
% 7.94/1.62  AC symbols                              0
% 7.94/1.62  
% 7.94/1.62  ------ Input Options Time Limit: Unbounded
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  ------ 
% 7.94/1.62  Current options:
% 7.94/1.62  ------ 
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  ------ Proving...
% 7.94/1.62  
% 7.94/1.62  
% 7.94/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.62  
% 7.94/1.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.94/1.62  
% 7.94/1.62  
%------------------------------------------------------------------------------