TSTP Solution File: SET013-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET013-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 02:59:16 EDT 2024

% Result   : Unsatisfiable 0.44s 1.13s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   25 (   2 unt;   4 nHn;  23 RR)
%            Number of literals    :   55 (   0 equ;  27 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ equal_sets(intersection(as,bs),intersection(bs,as)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).

cnf(c_52,plain,
    ( member(member_of_1_not_of_2(X0,X1),X0)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).

cnf(c_53,plain,
    ( ~ member(member_of_1_not_of_2(X0,X1),X1)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).

cnf(c_59,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_both_is_member_of_intersection) ).

cnf(c_60,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set1) ).

cnf(c_61,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set2) ).

cnf(c_64,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X0)
    | equal_sets(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).

cnf(c_401,plain,
    ( ~ subset(X0_13,X1_13)
    | ~ subset(X1_13,X0_13)
    | equal_sets(X1_13,X0_13) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_404,plain,
    ( ~ member(X0_14,intersection(X0_13,X1_13))
    | member(X0_14,X1_13) ),
    inference(subtyping,[status(esa)],[c_61]) ).

cnf(c_405,plain,
    ( ~ member(X0_14,intersection(X0_13,X1_13))
    | member(X0_14,X0_13) ),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_406,plain,
    ( ~ member(X0_14,X0_13)
    | ~ member(X0_14,X1_13)
    | member(X0_14,intersection(X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_412,plain,
    ( ~ member(member_of_1_not_of_2(X0_13,X1_13),X1_13)
    | subset(X0_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_413,plain,
    ( member(member_of_1_not_of_2(X0_13,X1_13),X0_13)
    | subset(X0_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_473,plain,
    ( ~ subset(intersection(as,bs),intersection(bs,as))
    | ~ subset(intersection(bs,as),intersection(as,bs))
    | equal_sets(intersection(as,bs),intersection(bs,as)) ),
    inference(instantiation,[status(thm)],[c_401]) ).

cnf(c_517,plain,
    ( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | subset(intersection(bs,as),intersection(as,bs)) ),
    inference(instantiation,[status(thm)],[c_413]) ).

cnf(c_518,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs))
    | subset(intersection(bs,as),intersection(as,bs)) ),
    inference(instantiation,[status(thm)],[c_412]) ).

cnf(c_736,plain,
    ( member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
    | subset(intersection(as,bs),intersection(bs,as)) ),
    inference(instantiation,[status(thm)],[c_413]) ).

cnf(c_737,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
    | subset(intersection(as,bs),intersection(bs,as)) ),
    inference(instantiation,[status(thm)],[c_412]) ).

cnf(c_881,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
    | ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
    | member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs)) ),
    inference(instantiation,[status(thm)],[c_406]) ).

cnf(c_1113,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as) ),
    inference(instantiation,[status(thm)],[c_404]) ).

cnf(c_1122,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs) ),
    inference(instantiation,[status(thm)],[c_405]) ).

cnf(c_1519,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
    | member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as) ),
    inference(instantiation,[status(thm)],[c_405]) ).

cnf(c_1520,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
    | member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs) ),
    inference(instantiation,[status(thm)],[c_404]) ).

cnf(c_2934,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as)
    | ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs)
    | member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as)) ),
    inference(instantiation,[status(thm)],[c_406]) ).

cnf(c_3462,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2934,c_1519,c_1520,c_1122,c_1113,c_881,c_736,c_737,c_517,c_518,c_473,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET013-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:29:43 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.13  % SZS status Started for theBenchmark.p
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13  
% 0.44/1.13  ------  iProver source info
% 0.44/1.13  
% 0.44/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13  git: non_committed_changes: false
% 0.44/1.13  
% 0.44/1.13  ------ Parsing...successful
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.13  ------ Proving...
% 0.44/1.13  ------ Problem Properties 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  clauses                                 19
% 0.44/1.13  conjectures                             1
% 0.44/1.13  EPR                                     8
% 0.44/1.13  Horn                                    16
% 0.44/1.13  unary                                   3
% 0.44/1.13  binary                                  11
% 0.44/1.13  lits                                    40
% 0.44/1.13  lits eq                                 0
% 0.44/1.13  fd_pure                                 0
% 0.44/1.13  fd_pseudo                               0
% 0.44/1.13  fd_cond                                 0
% 0.44/1.13  fd_pseudo_cond                          0
% 0.44/1.13  AC symbols                              0
% 0.44/1.13  
% 0.44/1.13  ------ Input Options Time Limit: Unbounded
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ 
% 0.44/1.13  Current options:
% 0.44/1.13  ------ 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Proving...
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13  
% 0.44/1.13  
%------------------------------------------------------------------------------