TSTP Solution File: SET851-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET851-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 03:01:48 EDT 2024

% Result   : Unsatisfiable 7.26s 1.71s
% Output   : CNFRefutation 7.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   9 unt;   2 nHn;  11 RR)
%            Number of literals    :   20 (   3 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
    | c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).

cnf(c_54,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_55,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_56,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_57,negated_conjecture,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
    | c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_58,negated_conjecture,
    ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
    | X0 = v_m
    | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_170,plain,
    c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(c_23330,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_52,c_56]) ).

cnf(c_23333,plain,
    c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
    inference(backward_subsumption_resolution,[status(thm)],[c_57,c_23330]) ).

cnf(c_23344,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | v_m = v_x ),
    inference(superposition,[status(thm)],[c_58,c_55]) ).

cnf(c_23396,plain,
    v_m = v_x,
    inference(global_subsumption_just,[status(thm)],[c_23344,c_54,c_23333,c_23344]) ).

cnf(c_23400,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_23396,c_56]) ).

cnf(c_23516,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_23400,c_170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET851-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n026.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 : Thu May  2 20:50:36 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 7.26/1.71  % SZS status Started for theBenchmark.p
% 7.26/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.26/1.71  
% 7.26/1.71  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.26/1.71  
% 7.26/1.71  ------  iProver source info
% 7.26/1.71  
% 7.26/1.71  git: date: 2024-05-02 19:28:25 +0000
% 7.26/1.71  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.26/1.71  git: non_committed_changes: false
% 7.26/1.71  
% 7.26/1.71  ------ Parsing...successful
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  ------ 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 
% 7.26/1.71  
% 7.26/1.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.26/1.71  
% 7.26/1.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.26/1.71  ------ Proving...
% 7.26/1.71  ------ Problem Properties 
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  clauses                                 305
% 7.26/1.71  conjectures                             6
% 7.26/1.71  EPR                                     26
% 7.26/1.71  Horn                                    273
% 7.26/1.71  unary                                   79
% 7.26/1.71  binary                                  175
% 7.26/1.71  lits                                    583
% 7.26/1.71  lits eq                                 163
% 7.26/1.71  fd_pure                                 0
% 7.26/1.71  fd_pseudo                               0
% 7.26/1.71  fd_cond                                 22
% 7.26/1.71  fd_pseudo_cond                          40
% 7.26/1.71  AC symbols                              0
% 7.26/1.71  
% 7.26/1.71  ------ Input Options Time Limit: Unbounded
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  ------ 
% 7.26/1.71  Current options:
% 7.26/1.71  ------ 
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  ------ Proving...
% 7.26/1.71  
% 7.26/1.71  
% 7.26/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.26/1.71  
% 7.26/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.26/1.71  
% 7.26/1.71  
%------------------------------------------------------------------------------