TSTP Solution File: HEN001-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HEN001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:25:15 EDT 2024

% Result   : Unsatisfiable 2.23s 1.17s
% Output   : CNFRefutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   11 (   4 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ quotient(x,identity,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_everything_divide_identity_is_zero) ).

cnf(c_50,plain,
    ( ~ less_equal(X0,X1)
    | quotient(X0,X1,zero) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).

cnf(c_56,plain,
    less_equal(X0,identity),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).

cnf(c_65,plain,
    divide(x,identity) != zero,
    inference(well_definedness,[status(thm)],[c_49]) ).

cnf(c_66,plain,
    ( ~ less_equal(X0,X1)
    | divide(X0,X1) = zero ),
    inference(well_definedness,[status(thm)],[c_50]) ).

cnf(c_175,plain,
    ( ~ less_equal(X0,X1)
    | divide(X0,X1) = zero ),
    inference(prop_impl_just,[status(thm)],[c_66]) ).

cnf(c_390,plain,
    divide(X0,identity) = zero,
    inference(superposition,[status(thm)],[c_56,c_175]) ).

cnf(c_392,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_65,c_390]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : HEN001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 18:36:12 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 2.23/1.17  % SZS status Started for theBenchmark.p
% 2.23/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.23/1.17  
% 2.23/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.23/1.17  
% 2.23/1.17  ------  iProver source info
% 2.23/1.17  
% 2.23/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.23/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.23/1.17  git: non_committed_changes: false
% 2.23/1.17  
% 2.23/1.17  ------ Parsing...successful
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  ------ Preprocessing... sup_sim: 4  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.23/1.17  
% 2.23/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.23/1.17  
% 2.23/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.23/1.17  ------ Proving...
% 2.23/1.17  ------ Problem Properties 
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  clauses                                 8
% 2.23/1.17  conjectures                             0
% 2.23/1.17  EPR                                     3
% 2.23/1.17  Horn                                    8
% 2.23/1.17  unary                                   5
% 2.23/1.17  binary                                  2
% 2.23/1.17  lits                                    12
% 2.23/1.17  lits eq                                 4
% 2.23/1.17  fd_pure                                 0
% 2.23/1.17  fd_pseudo                               0
% 2.23/1.17  fd_cond                                 0
% 2.23/1.17  fd_pseudo_cond                          1
% 2.23/1.17  AC symbols                              0
% 2.23/1.17  
% 2.23/1.17  ------ Schedule dynamic 5 is on 
% 2.23/1.17  
% 2.23/1.17  ------ no conjectures: strip conj schedule 
% 2.23/1.17  
% 2.23/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  ------ 
% 2.23/1.17  Current options:
% 2.23/1.17  ------ 
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  ------ Proving...
% 2.23/1.17  
% 2.23/1.17  
% 2.23/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.23/1.17  
% 2.23/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.23/1.17  
% 2.23/1.17  
%------------------------------------------------------------------------------