TSTP Solution File: SET855-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET855-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 03:01:49 EDT 2024

% Result   : Unsatisfiable 7.82s 1.65s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   3 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_60,negated_conjecture,
    c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_61,negated_conjecture,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_62,negated_conjecture,
    c_Union(v_Y,tc_set(t_a)) != v_n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_175,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_lessequals(X1,X0,tc_set(X2))
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).

cnf(c_23555,plain,
    ( ~ c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
    | c_Union(v_Y,tc_set(t_a)) = v_n ),
    inference(superposition,[status(thm)],[c_61,c_175]) ).

cnf(c_23557,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23555,c_60,c_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET855-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 20:43:58 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.82/1.65  % SZS status Started for theBenchmark.p
% 7.82/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.65  
% 7.82/1.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.82/1.65  
% 7.82/1.65  ------  iProver source info
% 7.82/1.65  
% 7.82/1.65  git: date: 2024-05-02 19:28:25 +0000
% 7.82/1.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.82/1.65  git: non_committed_changes: false
% 7.82/1.65  
% 7.82/1.65  ------ Parsing...successful
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  ------ 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 
% 7.82/1.65  
% 7.82/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.82/1.65  
% 7.82/1.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.82/1.65  ------ Proving...
% 7.82/1.65  ------ Problem Properties 
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  clauses                                 311
% 7.82/1.65  conjectures                             7
% 7.82/1.65  EPR                                     26
% 7.82/1.65  Horn                                    276
% 7.82/1.65  unary                                   82
% 7.82/1.65  binary                                  174
% 7.82/1.65  lits                                    605
% 7.82/1.65  lits eq                                 165
% 7.82/1.65  fd_pure                                 0
% 7.82/1.65  fd_pseudo                               0
% 7.82/1.65  fd_cond                                 21
% 7.82/1.65  fd_pseudo_cond                          41
% 7.82/1.65  AC symbols                              0
% 7.82/1.65  
% 7.82/1.65  ------ Input Options Time Limit: Unbounded
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  ------ 
% 7.82/1.65  Current options:
% 7.82/1.65  ------ 
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  ------ Proving...
% 7.82/1.65  
% 7.82/1.65  
% 7.82/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.65  
% 7.82/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.82/1.65  
% 7.82/1.65  
%------------------------------------------------------------------------------