TSTP Solution File: SET242-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET242-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 15:07:19 EDT 2023

% Result   : Unsatisfiable 3.64s 1.13s
% Output   : CNFRefutation 3.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (   1 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(z,xr),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn5_1) ).

cnf(c_50,negated_conjecture,
    member(z,cross_product(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn5_2) ).

cnf(c_51,negated_conjecture,
    ~ member(z,restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn5_3) ).

cnf(c_95,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(c_100,plain,
    intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).

cnf(c_5217,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ~ member(X0,X3)
    | member(X0,restrict(X3,X1,X2)) ),
    inference(superposition,[status(thm)],[c_100,c_95]) ).

cnf(c_12309,plain,
    ( ~ member(z,cross_product(x,y))
    | ~ member(z,xr) ),
    inference(superposition,[status(thm)],[c_5217,c_51]) ).

cnf(c_12319,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12309,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET242-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 08:37:47 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  Running first-order theorem proving
% 0.20/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.64/1.13  % SZS status Started for theBenchmark.p
% 3.64/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.13  
% 3.64/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.64/1.13  
% 3.64/1.13  ------  iProver source info
% 3.64/1.13  
% 3.64/1.13  git: date: 2023-05-31 18:12:56 +0000
% 3.64/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.64/1.13  git: non_committed_changes: false
% 3.64/1.13  git: last_make_outside_of_git: false
% 3.64/1.13  
% 3.64/1.13  ------ Parsing...successful
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  ------ 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 
% 3.64/1.13  
% 3.64/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.64/1.13  
% 3.64/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.64/1.13  ------ Proving...
% 3.64/1.13  ------ Problem Properties 
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  clauses                                 103
% 3.64/1.13  conjectures                             3
% 3.64/1.13  EPR                                     13
% 3.64/1.13  Horn                                    95
% 3.64/1.13  unary                                   42
% 3.64/1.13  binary                                  40
% 3.64/1.13  lits                                    191
% 3.64/1.13  lits eq                                 44
% 3.64/1.13  fd_pure                                 0
% 3.64/1.13  fd_pseudo                               0
% 3.64/1.13  fd_cond                                 3
% 3.64/1.13  fd_pseudo_cond                          7
% 3.64/1.13  AC symbols                              0
% 3.64/1.13  
% 3.64/1.13  ------ Schedule dynamic 5 is on 
% 3.64/1.13  
% 3.64/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  ------ 
% 3.64/1.13  Current options:
% 3.64/1.13  ------ 
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  ------ Proving...
% 3.64/1.13  
% 3.64/1.13  
% 3.64/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.13  
% 3.64/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.13  
% 3.64/1.13  
%------------------------------------------------------------------------------