TSTP Solution File: SET050-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET050-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 15:05:55 EDT 2023

% Result   : Unsatisfiable 3.55s 1.15s
% Output   : CNFRefutation 3.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(ordered_pair(x,y),cross_product(u,v)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_unordered_pair_1) ).

cnf(c_50,negated_conjecture,
    ~ member(x,unordered_pair(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_unordered_pair_2) ).

cnf(c_51,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_54,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_59,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_64,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).

cnf(c_3700,plain,
    ~ member(x,universal_class),
    inference(superposition,[status(thm)],[c_59,c_50]) ).

cnf(c_3957,plain,
    member(x,u),
    inference(superposition,[status(thm)],[c_49,c_64]) ).

cnf(c_4020,plain,
    ( ~ subclass(u,X0)
    | member(x,X0) ),
    inference(superposition,[status(thm)],[c_3957,c_51]) ).

cnf(c_4041,plain,
    member(x,universal_class),
    inference(superposition,[status(thm)],[c_54,c_4020]) ).

cnf(c_4044,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4041,c_3700]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET050-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n004.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 10:20:08 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.55/1.15  % SZS status Started for theBenchmark.p
% 3.55/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.15  
% 3.55/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.55/1.15  
% 3.55/1.15  ------  iProver source info
% 3.55/1.15  
% 3.55/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.55/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.55/1.15  git: non_committed_changes: false
% 3.55/1.15  git: last_make_outside_of_git: false
% 3.55/1.15  
% 3.55/1.15  ------ Parsing...successful
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.55/1.15  
% 3.55/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.55/1.15  
% 3.55/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.55/1.15  ------ Proving...
% 3.55/1.15  ------ Problem Properties 
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  clauses                                 85
% 3.55/1.15  conjectures                             2
% 3.55/1.15  EPR                                     12
% 3.55/1.15  Horn                                    77
% 3.55/1.15  unary                                   33
% 3.55/1.15  binary                                  32
% 3.55/1.15  lits                                    163
% 3.55/1.15  lits eq                                 36
% 3.55/1.15  fd_pure                                 0
% 3.55/1.15  fd_pseudo                               0
% 3.55/1.15  fd_cond                                 3
% 3.55/1.15  fd_pseudo_cond                          3
% 3.55/1.15  AC symbols                              0
% 3.55/1.15  
% 3.55/1.15  ------ Schedule dynamic 5 is on 
% 3.55/1.15  
% 3.55/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  ------ 
% 3.55/1.15  Current options:
% 3.55/1.15  ------ 
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  ------ Proving...
% 3.55/1.15  
% 3.55/1.15  
% 3.55/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.15  
% 3.55/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.15  
% 3.55/1.15  
%------------------------------------------------------------------------------