TSTP Solution File: SET238-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET238-6 : 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 15:07:18 EDT 2023

% Result   : Unsatisfiable 3.85s 1.14s
% Output   : CNFRefutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   3 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   13 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(z,restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_1) ).

cnf(c_50,negated_conjecture,
    ~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_2) ).

cnf(c_88,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_93,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_99,plain,
    intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).

cnf(c_4758,plain,
    ( ~ member(X0,restrict(X1,X2,X3))
    | member(X0,cross_product(X2,X3)) ),
    inference(superposition,[status(thm)],[c_99,c_93]) ).

cnf(c_8222,plain,
    member(z,cross_product(x,y)),
    inference(superposition,[status(thm)],[c_49,c_4758]) ).

cnf(c_8247,plain,
    ordered_pair(first(z),second(z)) = z,
    inference(superposition,[status(thm)],[c_8222,c_88]) ).

cnf(c_8250,plain,
    ~ member(z,restrict(xr,x,y)),
    inference(demodulation,[status(thm)],[c_50,c_8247]) ).

cnf(c_8251,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8250,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.34  % Computer : n006.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Sat Aug 26 14:39:52 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.85/1.14  % SZS status Started for theBenchmark.p
% 3.85/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.14  
% 3.85/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.85/1.14  
% 3.85/1.14  ------  iProver source info
% 3.85/1.14  
% 3.85/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.85/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.85/1.14  git: non_committed_changes: false
% 3.85/1.14  git: last_make_outside_of_git: false
% 3.85/1.14  
% 3.85/1.14  ------ Parsing...successful
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  ------ 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 
% 3.85/1.14  
% 3.85/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.85/1.14  
% 3.85/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.85/1.14  ------ Proving...
% 3.85/1.14  ------ Problem Properties 
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  clauses                                 102
% 3.85/1.14  conjectures                             2
% 3.85/1.14  EPR                                     12
% 3.85/1.14  Horn                                    94
% 3.85/1.14  unary                                   41
% 3.85/1.14  binary                                  40
% 3.85/1.14  lits                                    190
% 3.85/1.14  lits eq                                 44
% 3.85/1.14  fd_pure                                 0
% 3.85/1.14  fd_pseudo                               0
% 3.85/1.14  fd_cond                                 3
% 3.85/1.14  fd_pseudo_cond                          7
% 3.85/1.14  AC symbols                              0
% 3.85/1.14  
% 3.85/1.14  ------ Schedule dynamic 5 is on 
% 3.85/1.14  
% 3.85/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  ------ 
% 3.85/1.14  Current options:
% 3.85/1.14  ------ 
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  ------ Proving...
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.14  
% 3.85/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.14  
% 3.85/1.14  
%------------------------------------------------------------------------------