TSTP Solution File: SET103-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET103-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 14:33:18 EDT 2024

% Result   : Unsatisfiable 7.82s 1.68s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (  10 unt;   1 nHn;   6 RR)
%            Number of literals    :   12 (   8 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_65,plain,
    unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).

cnf(c_83,plain,
    ( singleton(X0) = null_class
    | member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).

cnf(c_105,negated_conjecture,
    unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).

cnf(c_106,negated_conjecture,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).

cnf(c_119,plain,
    unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

cnf(c_1595,plain,
    unordered_pair(singleton(x),unordered_pair(null_class,x)) != ordered_pair(x,y),
    inference(demodulation,[status(thm)],[c_105,c_65]) ).

cnf(c_4187,negated_conjecture,
    ~ member(y,universal_class),
    inference(demodulation,[status(thm)],[c_106]) ).

cnf(c_6619,plain,
    singleton(y) = null_class,
    inference(superposition,[status(thm)],[c_83,c_4187]) ).

cnf(c_10550,plain,
    unordered_pair(singleton(X0),unordered_pair(X0,null_class)) = ordered_pair(X0,y),
    inference(superposition,[status(thm)],[c_6619,c_119]) ).

cnf(c_10836,plain,
    unordered_pair(singleton(X0),unordered_pair(null_class,X0)) = ordered_pair(X0,y),
    inference(superposition,[status(thm)],[c_65,c_10550]) ).

cnf(c_10855,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_1595,c_10836]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET103-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n028.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 : Sun Jun 23 17:56:39 EDT 2024
% 0.19/0.33  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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
% 7.82/1.68  % SZS status Started for theBenchmark.p
% 7.82/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.68  
% 7.82/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.82/1.68  
% 7.82/1.68  ------  iProver source info
% 7.82/1.68  
% 7.82/1.68  git: date: 2024-06-12 09:56:46 +0000
% 7.82/1.68  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.82/1.68  git: non_committed_changes: false
% 7.82/1.68  
% 7.82/1.68  ------ Parsing...successful
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  ------ Preprocessing... sup_sim: 3  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 
% 7.82/1.68  
% 7.82/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.82/1.68  
% 7.82/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.82/1.68  ------ Proving...
% 7.82/1.68  ------ Problem Properties 
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  clauses                                 139
% 7.82/1.68  conjectures                             1
% 7.82/1.68  EPR                                     18
% 7.82/1.68  Horn                                    115
% 7.82/1.68  unary                                   47
% 7.82/1.68  binary                                  56
% 7.82/1.68  lits                                    274
% 7.82/1.68  lits eq                                 84
% 7.82/1.68  fd_pure                                 0
% 7.82/1.68  fd_pseudo                               0
% 7.82/1.68  fd_cond                                 5
% 7.82/1.68  fd_pseudo_cond                          14
% 7.82/1.68  AC symbols                              0
% 7.82/1.68  
% 7.82/1.68  ------ Schedule dynamic 5 is on 
% 7.82/1.68  
% 7.82/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  ------ 
% 7.82/1.68  Current options:
% 7.82/1.68  ------ 
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  ------ Proving...
% 7.82/1.68  
% 7.82/1.68  
% 7.82/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.68  
% 7.82/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.82/1.68  
% 7.82/1.68  
%------------------------------------------------------------------------------