TSTP Solution File: SET844-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET844-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 15:10:13 EDT 2023

% Result   : Unsatisfiable 7.75s 1.66s
% Output   : CNFRefutation 7.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   19 (   2 equ;   9 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    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   12 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_54,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/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

cnf(c_55,plain,
    ( c_Zorn_Osucc(X0,X1,X2) != X1
    | ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
    | c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).

cnf(c_56,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_57,negated_conjecture,
    c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_58,negated_conjecture,
    ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

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_27196,plain,
    ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_57,c_55]) ).

cnf(c_27244,plain,
    ( ~ 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))) ),
    inference(global_subsumption_just,[status(thm)],[c_27196,c_56,c_27196]) ).

cnf(c_27252,plain,
    ( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
    | c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_54,c_27244]) ).

cnf(c_27369,plain,
    c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_170,c_27252]) ).

cnf(c_27370,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_58,c_27369]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET844-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 16:22:22 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.75/1.66  % SZS status Started for theBenchmark.p
% 7.75/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.75/1.66  
% 7.75/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.75/1.66  
% 7.75/1.66  ------  iProver source info
% 7.75/1.66  
% 7.75/1.66  git: date: 2023-05-31 18:12:56 +0000
% 7.75/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.75/1.66  git: non_committed_changes: false
% 7.75/1.66  git: last_make_outside_of_git: false
% 7.75/1.66  
% 7.75/1.66  ------ Parsing...successful
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  ------ 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 
% 7.75/1.66  
% 7.75/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.75/1.66  
% 7.75/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.75/1.66  ------ Proving...
% 7.75/1.66  ------ Problem Properties 
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  clauses                                 305
% 7.75/1.66  conjectures                             3
% 7.75/1.66  EPR                                     26
% 7.75/1.66  Horn                                    277
% 7.75/1.66  unary                                   79
% 7.75/1.66  binary                                  178
% 7.75/1.66  lits                                    580
% 7.75/1.66  lits eq                                 164
% 7.75/1.66  fd_pure                                 0
% 7.75/1.66  fd_pseudo                               0
% 7.75/1.66  fd_cond                                 21
% 7.75/1.66  fd_pseudo_cond                          40
% 7.75/1.66  AC symbols                              0
% 7.75/1.66  
% 7.75/1.66  ------ Input Options Time Limit: Unbounded
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  ------ 
% 7.75/1.66  Current options:
% 7.75/1.66  ------ 
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  ------ Proving...
% 7.75/1.66  
% 7.75/1.66  
% 7.75/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.75/1.66  
% 7.75/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.75/1.66  
% 7.75/1.66  
%------------------------------------------------------------------------------