TSTP Solution File: SET027-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET027-3 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon Jun 24 14:32:31 EDT 2024

% Result   : Unsatisfiable 7.82s 1.63s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   6 unt;   3 nHn;  10 RR)
%            Number of literals    :   21 (   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_60,plain,
    subset(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).

cnf(c_61,plain,
    subset(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).

cnf(c_62,negated_conjecture,
    ~ subset(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).

cnf(c_129,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).

cnf(c_130,plain,
    ( member(f17(X0,X1),X0)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset2) ).

cnf(c_131,plain,
    ( ~ member(f17(X0,X1),X1)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset3) ).

cnf(c_9294,negated_conjecture,
    ~ subset(a,c),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_13582,plain,
    ( ~ member(X0,a)
    | member(X0,b) ),
    inference(superposition,[status(thm)],[c_60,c_129]) ).

cnf(c_13583,plain,
    ( ~ member(X0,b)
    | member(X0,c) ),
    inference(superposition,[status(thm)],[c_61,c_129]) ).

cnf(c_13687,plain,
    ( member(f17(a,X0),b)
    | subset(a,X0) ),
    inference(superposition,[status(thm)],[c_130,c_13582]) ).

cnf(c_14553,plain,
    ( member(f17(a,X0),c)
    | subset(a,X0) ),
    inference(superposition,[status(thm)],[c_13687,c_13583]) ).

cnf(c_19330,plain,
    subset(a,c),
    inference(superposition,[status(thm)],[c_14553,c_131]) ).

cnf(c_19331,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_19330,c_9294]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET027-3 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jun 23 14:29:24 EDT 2024
% 0.12/0.33  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.82/1.63  % SZS status Started for theBenchmark.p
% 7.82/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.63  
% 7.82/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.82/1.63  
% 7.82/1.63  ------  iProver source info
% 7.82/1.63  
% 7.82/1.63  git: date: 2024-06-12 09:56:46 +0000
% 7.82/1.63  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.82/1.63  git: non_committed_changes: false
% 7.82/1.63  
% 7.82/1.63  ------ Parsing...successful
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.82/1.63  
% 7.82/1.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.82/1.63  
% 7.82/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.82/1.63  ------ Proving...
% 7.82/1.63  ------ Problem Properties 
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  clauses                                 149
% 7.82/1.63  conjectures                             1
% 7.82/1.63  EPR                                     25
% 7.82/1.63  Horn                                    130
% 7.82/1.63  unary                                   15
% 7.82/1.63  binary                                  93
% 7.82/1.63  lits                                    353
% 7.82/1.63  lits eq                                 41
% 7.82/1.63  fd_pure                                 0
% 7.82/1.63  fd_pseudo                               0
% 7.82/1.63  fd_cond                                 4
% 7.82/1.63  fd_pseudo_cond                          10
% 7.82/1.63  AC symbols                              0
% 7.82/1.63  
% 7.82/1.63  ------ Schedule dynamic 5 is on 
% 7.82/1.63  
% 7.82/1.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  ------ 
% 7.82/1.63  Current options:
% 7.82/1.63  ------ 
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  ------ Proving...
% 7.82/1.63  
% 7.82/1.63  
% 7.82/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.63  
% 7.82/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.82/1.63  
% 7.82/1.63  
%------------------------------------------------------------------------------