TSTP Solution File: SET859-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET859-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 15:10:21 EDT 2023

% Result   : Unsatisfiable 7.24s 1.66s
% Output   : CNFRefutation 7.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   4 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   :    8 (   1 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(c_58,negated_conjecture,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_59,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_29390,plain,
    ( ~ c_lessequals(X0,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_58,c_49]) ).

cnf(c_29491,plain,
    c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_50,c_29390]) ).

cnf(c_29498,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_29491,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET859-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.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 16:43:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.24/1.66  % SZS status Started for theBenchmark.p
% 7.24/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.24/1.66  
% 7.24/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.24/1.66  
% 7.24/1.66  ------  iProver source info
% 7.24/1.66  
% 7.24/1.66  git: date: 2023-05-31 18:12:56 +0000
% 7.24/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.24/1.66  git: non_committed_changes: false
% 7.24/1.66  git: last_make_outside_of_git: false
% 7.24/1.66  
% 7.24/1.66  ------ Parsing...successful
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  ------ 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  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 7.24/1.66  
% 7.24/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.24/1.66  
% 7.24/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.24/1.66  ------ Proving...
% 7.24/1.66  ------ Problem Properties 
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  clauses                                 307
% 7.24/1.66  conjectures                             5
% 7.24/1.66  EPR                                     26
% 7.24/1.66  Horn                                    275
% 7.24/1.66  unary                                   81
% 7.24/1.66  binary                                  173
% 7.24/1.66  lits                                    596
% 7.24/1.66  lits eq                                 164
% 7.24/1.66  fd_pure                                 0
% 7.24/1.66  fd_pseudo                               0
% 7.24/1.66  fd_cond                                 21
% 7.24/1.66  fd_pseudo_cond                          41
% 7.24/1.66  AC symbols                              0
% 7.24/1.66  
% 7.24/1.66  ------ Schedule dynamic 5 is on 
% 7.24/1.66  
% 7.24/1.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  ------ 
% 7.24/1.66  Current options:
% 7.24/1.66  ------ 
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  ------ Proving...
% 7.24/1.66  
% 7.24/1.66  
% 7.24/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.24/1.66  
% 7.24/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.24/1.66  
% 7.24/1.66  
%------------------------------------------------------------------------------