TSTP Solution File: SET047-5 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 1.62s 1.17s
% Output   : CNFRefutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (   1 unt;   4 nHn;  20 RR)
%            Number of literals    :   59 (   0 equ;  32 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ set_equal(X0,X1)
    | ~ element(X2,X0)
    | element(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution1) ).

cnf(c_50,plain,
    ( ~ set_equal(X0,X1)
    | ~ element(X2,X1)
    | element(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution2) ).

cnf(c_51,plain,
    ( element(f(X0,X1),X0)
    | element(f(X0,X1),X1)
    | set_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,plain,
    ( ~ element(f(X0,X1),X0)
    | ~ element(f(X0,X1),X1)
    | set_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,negated_conjecture,
    ( set_equal(a,b)
    | set_equal(b,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry1) ).

cnf(c_54,negated_conjecture,
    ( ~ set_equal(a,b)
    | ~ set_equal(b,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry2) ).

cnf(c_109,plain,
    ( element(f(b,a),a)
    | element(f(b,a),b)
    | set_equal(b,a) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_110,plain,
    ( ~ element(f(b,a),a)
    | ~ element(f(b,a),b)
    | set_equal(b,a) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_111,plain,
    ( ~ element(f(b,a),a)
    | ~ set_equal(a,X0)
    | element(f(b,a),X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_113,plain,
    ( ~ element(f(a,b),a)
    | ~ element(f(a,b),b)
    | set_equal(a,b) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_114,plain,
    ( element(f(a,b),a)
    | element(f(a,b),b)
    | set_equal(a,b) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_118,plain,
    ( ~ element(f(b,a),X0)
    | ~ set_equal(X1,X0)
    | element(f(b,a),X1) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_119,plain,
    ( ~ element(f(b,a),a)
    | ~ set_equal(a,b)
    | element(f(b,a),b) ),
    inference(instantiation,[status(thm)],[c_111]) ).

cnf(c_126,plain,
    ( ~ element(f(b,a),b)
    | ~ set_equal(X0,b)
    | element(f(b,a),X0) ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_127,plain,
    ( ~ element(f(b,a),b)
    | ~ set_equal(a,b)
    | element(f(b,a),a) ),
    inference(instantiation,[status(thm)],[c_126]) ).

cnf(c_133,plain,
    ( ~ element(f(a,b),a)
    | ~ set_equal(X0,a)
    | element(f(a,b),X0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_136,plain,
    ( ~ element(f(a,b),X0)
    | ~ set_equal(X0,X1)
    | element(f(a,b),X1) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_141,plain,
    ( ~ element(f(a,b),a)
    | ~ set_equal(b,a)
    | element(f(a,b),b) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_148,plain,
    ( ~ element(f(a,b),b)
    | ~ set_equal(b,X0)
    | element(f(a,b),X0) ),
    inference(instantiation,[status(thm)],[c_136]) ).

cnf(c_149,plain,
    ( ~ element(f(a,b),b)
    | ~ set_equal(b,a)
    | element(f(a,b),a) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_152,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_149,c_141,c_127,c_119,c_113,c_114,c_110,c_109,c_54,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n018.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 10:05:45 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.62/1.17  % SZS status Started for theBenchmark.p
% 1.62/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.62/1.17  
% 1.62/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.62/1.17  
% 1.62/1.17  ------  iProver source info
% 1.62/1.17  
% 1.62/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.62/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.62/1.17  git: non_committed_changes: false
% 1.62/1.17  git: last_make_outside_of_git: false
% 1.62/1.17  
% 1.62/1.17  ------ Parsing...successful
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.62/1.17  
% 1.62/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.62/1.17  ------ Proving...
% 1.62/1.17  ------ Problem Properties 
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  clauses                                 6
% 1.62/1.17  conjectures                             2
% 1.62/1.17  EPR                                     4
% 1.62/1.17  Horn                                    4
% 1.62/1.17  unary                                   0
% 1.62/1.17  binary                                  2
% 1.62/1.17  lits                                    16
% 1.62/1.17  lits eq                                 0
% 1.62/1.17  fd_pure                                 0
% 1.62/1.17  fd_pseudo                               0
% 1.62/1.17  fd_cond                                 0
% 1.62/1.17  fd_pseudo_cond                          0
% 1.62/1.17  AC symbols                              0
% 1.62/1.17  
% 1.62/1.17  ------ Schedule dynamic 5 is on 
% 1.62/1.17  
% 1.62/1.17  ------ no equalities: superposition off 
% 1.62/1.17  
% 1.62/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  ------ 
% 1.62/1.17  Current options:
% 1.62/1.17  ------ 
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  ------ Proving...
% 1.62/1.17  
% 1.62/1.17  
% 1.62/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.62/1.17  
% 1.62/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.62/1.17  
% 1.62/1.17  
%------------------------------------------------------------------------------