TSTP Solution File: SET019-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Fri May  3 02:59:22 EDT 2024

% Result   : Unsatisfiable 7.62s 1.68s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   4 unt;   2 nHn;  12 RR)
%            Number of literals    :   31 (   5 equ;  15 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    subset(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_contains_b) ).

cnf(c_53,plain,
    subset(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_contains_a) ).

cnf(c_54,negated_conjecture,
    b != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__a_equals_b) ).

cnf(c_57,plain,
    ( X0 = X1
    | member(f1(X0,X1),X0)
    | member(f1(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality2) ).

cnf(c_58,plain,
    ( ~ member(f1(X0,X1),X0)
    | ~ member(f1(X0,X1),X1)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality3) ).

cnf(c_121,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset1) ).

cnf(c_5824,plain,
    ( ~ member(f1(b,a),b)
    | ~ member(f1(b,a),a)
    | b = a ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_5825,plain,
    ( b = a
    | member(f1(b,a),b)
    | member(f1(b,a),a) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_6082,plain,
    ( ~ member(f1(b,a),X0)
    | ~ subset(X0,a)
    | member(f1(b,a),a) ),
    inference(instantiation,[status(thm)],[c_121]) ).

cnf(c_6141,plain,
    ( ~ member(f1(b,a),X0)
    | ~ subset(X0,b)
    | member(f1(b,a),b) ),
    inference(instantiation,[status(thm)],[c_121]) ).

cnf(c_9560,plain,
    ( ~ member(f1(b,a),b)
    | ~ subset(b,a)
    | member(f1(b,a),a) ),
    inference(instantiation,[status(thm)],[c_6082]) ).

cnf(c_10271,plain,
    ( ~ member(f1(b,a),a)
    | ~ subset(a,b)
    | member(f1(b,a),b) ),
    inference(instantiation,[status(thm)],[c_6141]) ).

cnf(c_10307,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10271,c_9560,c_5824,c_5825,c_54,c_52,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:34:14 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 7.62/1.68  % SZS status Started for theBenchmark.p
% 7.62/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.68  
% 7.62/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.62/1.68  
% 7.62/1.68  ------  iProver source info
% 7.62/1.68  
% 7.62/1.68  git: date: 2024-05-02 19:28:25 +0000
% 7.62/1.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.62/1.68  git: non_committed_changes: false
% 7.62/1.68  
% 7.62/1.68  ------ Parsing...successful
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  ------ Preprocessing... sup_sim: 14  pe_s  pe:1:0s pe:2:0s pe_e 
% 7.62/1.68  
% 7.62/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 1 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 7.62/1.68  
% 7.62/1.68  ------ Preprocessing...
% 7.62/1.68  ------ Proving...
% 7.62/1.68  ------ Problem Properties 
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  clauses                                 167
% 7.62/1.68  conjectures                             1
% 7.62/1.68  EPR                                     28
% 7.62/1.68  Horn                                    147
% 7.62/1.68  unary                                   14
% 7.62/1.68  binary                                  115
% 7.62/1.68  lits                                    397
% 7.62/1.68  lits eq                                 43
% 7.62/1.68  fd_pure                                 0
% 7.62/1.68  fd_pseudo                               0
% 7.62/1.68  fd_cond                                 4
% 7.62/1.68  fd_pseudo_cond                          9
% 7.62/1.68  AC symbols                              0
% 7.62/1.68  
% 7.62/1.68  ------ Input Options Time Limit: Unbounded
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  ------ 
% 7.62/1.68  Current options:
% 7.62/1.68  ------ 
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  ------ Proving...
% 7.62/1.68  
% 7.62/1.68  
% 7.62/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.68  
% 7.62/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.62/1.69  
% 7.62/1.69  
%------------------------------------------------------------------------------