TSTP Solution File: SET235-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET235-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 15:07:17 EDT 2023

% Result   : Unsatisfiable 3.67s 1.17s
% Output   : CNFRefutation 3.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   6 unt;   3 nHn;  11 RR)
%            Number of literals    :   21 (   4 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    subclass(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_1) ).

cnf(c_50,negated_conjecture,
    ~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_2) ).

cnf(c_51,negated_conjecture,
    ~ subclass(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_3) ).

cnf(c_73,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_74,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_89,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

cnf(c_4370,plain,
    ( ~ member(X0,x)
    | member(X0,cross_product(universal_class,universal_class)) ),
    inference(superposition,[status(thm)],[c_49,c_73]) ).

cnf(c_5103,plain,
    ( member(not_subclass_element(x,y),x)
    | subclass(x,y) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_5737,plain,
    ( ~ member(X0,x)
    | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_4370,c_89]) ).

cnf(c_5862,plain,
    ( ordered_pair(first(not_subclass_element(x,X0)),second(not_subclass_element(x,X0))) = not_subclass_element(x,X0)
    | subclass(x,X0) ),
    inference(superposition,[status(thm)],[c_74,c_5737]) ).

cnf(c_6006,plain,
    ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))) = not_subclass_element(x,y),
    inference(superposition,[status(thm)],[c_5862,c_51]) ).

cnf(c_6018,plain,
    ~ member(not_subclass_element(x,y),x),
    inference(demodulation,[status(thm)],[c_50,c_6006]) ).

cnf(c_6019,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6018,c_5103,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET235-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 15:01:07 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.67/1.17  % SZS status Started for theBenchmark.p
% 3.67/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.17  
% 3.67/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.67/1.17  
% 3.67/1.17  ------  iProver source info
% 3.67/1.17  
% 3.67/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.67/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.67/1.17  git: non_committed_changes: false
% 3.67/1.17  git: last_make_outside_of_git: false
% 3.67/1.17  
% 3.67/1.17  ------ Parsing...successful
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 3.67/1.17  
% 3.67/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.67/1.17  
% 3.67/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.67/1.17  ------ Proving...
% 3.67/1.17  ------ Problem Properties 
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  clauses                                 103
% 3.67/1.17  conjectures                             3
% 3.67/1.17  EPR                                     13
% 3.67/1.17  Horn                                    95
% 3.67/1.17  unary                                   42
% 3.67/1.17  binary                                  40
% 3.67/1.17  lits                                    191
% 3.67/1.17  lits eq                                 44
% 3.67/1.17  fd_pure                                 0
% 3.67/1.17  fd_pseudo                               0
% 3.67/1.17  fd_cond                                 3
% 3.67/1.17  fd_pseudo_cond                          7
% 3.67/1.17  AC symbols                              0
% 3.67/1.17  
% 3.67/1.17  ------ Schedule dynamic 5 is on 
% 3.67/1.17  
% 3.67/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  ------ 
% 3.67/1.17  Current options:
% 3.67/1.17  ------ 
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  ------ Proving...
% 3.67/1.17  
% 3.67/1.17  
% 3.67/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.17  
% 3.67/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/1.17  
% 3.67/1.17  
%------------------------------------------------------------------------------