TSTP Solution File: SET841-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 15:10:12 EDT 2023

% Result   : Unsatisfiable 1.49s 1.20s
% Output   : CNFRefutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (  10 unt;   1 nHn;  11 RR)
%            Number of literals    :   19 (   4 equ;   9 neg)
%            Maximal clause size   :    5 (   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   :    6 (   1 sgn)

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

cnf(c_50,plain,
    ( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
    | ~ c_lessequals(X0,X3,tc_set(tc_set(X2)))
    | X0 = X3
    | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__subsetD_0) ).

cnf(c_51,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_52,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_53,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_2) ).

cnf(c_54,negated_conjecture,
    c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

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_4) ).

cnf(c_250,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ 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_50,c_55]) ).

cnf(c_251,plain,
    v_m = v_x,
    inference(forward_subsumption_resolution,[status(thm)],[c_250,c_54,c_53,c_51]) ).

cnf(c_252,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
    inference(demodulation,[status(thm)],[c_55,c_251]) ).

cnf(c_255,plain,
    ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a))),
    inference(light_normalisation,[status(thm)],[c_252,c_52]) ).

cnf(c_256,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_255,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n007.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 09:52:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.49/1.20  % SZS status Started for theBenchmark.p
% 1.49/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.20  
% 1.49/1.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.49/1.20  
% 1.49/1.20  ------  iProver source info
% 1.49/1.20  
% 1.49/1.20  git: date: 2023-05-31 18:12:56 +0000
% 1.49/1.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.49/1.20  git: non_committed_changes: false
% 1.49/1.20  git: last_make_outside_of_git: false
% 1.49/1.20  
% 1.49/1.20  ------ Parsing...successful
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.49/1.20  
% 1.49/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.49/1.20  
% 1.49/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.49/1.20  ------ Proving...
% 1.49/1.20  ------ Problem Properties 
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  clauses                                 7
% 1.49/1.20  conjectures                             5
% 1.49/1.20  EPR                                     0
% 1.49/1.20  Horn                                    6
% 1.49/1.20  unary                                   6
% 1.49/1.20  binary                                  0
% 1.49/1.20  lits                                    11
% 1.49/1.20  lits eq                                 2
% 1.49/1.20  fd_pure                                 0
% 1.49/1.20  fd_pseudo                               0
% 1.49/1.20  fd_cond                                 0
% 1.49/1.20  fd_pseudo_cond                          1
% 1.49/1.20  AC symbols                              0
% 1.49/1.20  
% 1.49/1.20  ------ Schedule dynamic 5 is on 
% 1.49/1.20  
% 1.49/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  ------ 
% 1.49/1.20  Current options:
% 1.49/1.20  ------ 
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  ------ Proving...
% 1.49/1.20  
% 1.49/1.20  
% 1.49/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.20  
% 1.49/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.49/1.20  
% 1.49/1.20  
%------------------------------------------------------------------------------