TSTP Solution File: SET144-6 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 15:06:48 EDT 2023

% Result   : Unsatisfiable 22.68s 4.17s
% Output   : CNFRefutation 22.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   2 unt;   3 nHn;  19 RR)
%            Number of literals    :   44 (   3 equ;  22 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    intersection(x,y) != intersection(y,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_intersection_1) ).

cnf(c_72,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_73,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_77,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(c_91,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_93,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(c_4789,plain,
    ( ~ subclass(intersection(x,y),intersection(y,x))
    | ~ subclass(intersection(y,x),intersection(x,y))
    | intersection(x,y) = intersection(y,x) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_5270,plain,
    ( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x))
    | subclass(intersection(x,y),intersection(y,x)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_5271,plain,
    ( member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
    | subclass(intersection(x,y),intersection(y,x)) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_8309,plain,
    ( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y))
    | subclass(intersection(y,x),intersection(x,y)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_8310,plain,
    ( member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
    | subclass(intersection(y,x),intersection(x,y)) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_22554,plain,
    ( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),x)
    | ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),y)
    | member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_29053,plain,
    ( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
    | member(not_subclass_element(intersection(x,y),intersection(y,x)),x) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_30640,plain,
    ( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
    | member(not_subclass_element(intersection(y,x),intersection(x,y)),x) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_30641,plain,
    ( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
    | member(not_subclass_element(intersection(y,x),intersection(x,y)),y) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_35923,plain,
    ( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
    | member(not_subclass_element(intersection(x,y),intersection(y,x)),y) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_37701,plain,
    ( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),X0)
    | ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
    | member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,X0)) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_63127,plain,
    ( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
    | ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
    | member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y)) ),
    inference(instantiation,[status(thm)],[c_37701]) ).

cnf(c_64398,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_63127,c_35923,c_30640,c_30641,c_29053,c_22554,c_8309,c_8310,c_5270,c_5271,c_4789,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 12:37:17 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.68/4.17  % SZS status Started for theBenchmark.p
% 22.68/4.17  % SZS status Unsatisfiable for theBenchmark.p
% 22.68/4.17  
% 22.68/4.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 22.68/4.17  
% 22.68/4.17  ------  iProver source info
% 22.68/4.17  
% 22.68/4.17  git: date: 2023-05-31 18:12:56 +0000
% 22.68/4.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 22.68/4.17  git: non_committed_changes: false
% 22.68/4.17  git: last_make_outside_of_git: false
% 22.68/4.17  
% 22.68/4.17  ------ Parsing...successful
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  ------ 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 
% 22.68/4.17  
% 22.68/4.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 22.68/4.17  
% 22.68/4.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 22.68/4.17  ------ Proving...
% 22.68/4.17  ------ Problem Properties 
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  clauses                                 101
% 22.68/4.17  conjectures                             1
% 22.68/4.17  EPR                                     12
% 22.68/4.17  Horn                                    93
% 22.68/4.17  unary                                   40
% 22.68/4.17  binary                                  40
% 22.68/4.17  lits                                    189
% 22.68/4.17  lits eq                                 45
% 22.68/4.17  fd_pure                                 0
% 22.68/4.17  fd_pseudo                               0
% 22.68/4.17  fd_cond                                 3
% 22.68/4.17  fd_pseudo_cond                          7
% 22.68/4.17  AC symbols                              0
% 22.68/4.17  
% 22.68/4.17  ------ Schedule dynamic 5 is on 
% 22.68/4.17  
% 22.68/4.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  ------ 
% 22.68/4.17  Current options:
% 22.68/4.17  ------ 
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  ------ Proving...
% 22.68/4.17  
% 22.68/4.17  
% 22.68/4.17  % SZS status Unsatisfiable for theBenchmark.p
% 22.68/4.17  
% 22.68/4.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.68/4.17  
% 22.68/4.17  
%------------------------------------------------------------------------------