TSTP Solution File: HEN005-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 01:55:54 EDT 2023

% Result   : Unsatisfiable 3.24s 1.12s
% Output   : CNFRefutation 3.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  15 unt;   0 nHn;  15 RR)
%            Number of literals    :   26 (  10 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    less_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).

cnf(c_50,plain,
    less_equal(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_LE_c) ).

cnf(c_51,negated_conjecture,
    ~ less_equal(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_LE_c) ).

cnf(c_52,plain,
    ( ~ less_equal(X0,X1)
    | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).

cnf(c_53,plain,
    ( divide(X0,X1) != zero
    | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).

cnf(c_55,plain,
    less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).

cnf(c_56,plain,
    less_equal(zero,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).

cnf(c_57,plain,
    ( ~ less_equal(X0,X1)
    | ~ less_equal(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).

cnf(c_296,plain,
    divide(a,b) = zero,
    inference(superposition,[status(thm)],[c_49,c_52]) ).

cnf(c_297,plain,
    divide(b,c) = zero,
    inference(superposition,[status(thm)],[c_50,c_52]) ).

cnf(c_299,plain,
    divide(zero,X0) = zero,
    inference(superposition,[status(thm)],[c_56,c_52]) ).

cnf(c_321,plain,
    ( ~ less_equal(X0,zero)
    | X0 = zero ),
    inference(superposition,[status(thm)],[c_56,c_57]) ).

cnf(c_338,plain,
    less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
    inference(superposition,[status(thm)],[c_296,c_55]) ).

cnf(c_343,plain,
    less_equal(divide(divide(a,X0),divide(b,X0)),zero),
    inference(light_normalisation,[status(thm)],[c_338,c_299]) ).

cnf(c_354,plain,
    ( divide(a,c) != zero
    | less_equal(a,c) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_440,plain,
    less_equal(divide(divide(a,c),zero),zero),
    inference(superposition,[status(thm)],[c_297,c_343]) ).

cnf(c_460,plain,
    divide(divide(a,c),zero) = zero,
    inference(superposition,[status(thm)],[c_440,c_321]) ).

cnf(c_465,plain,
    less_equal(divide(a,c),zero),
    inference(superposition,[status(thm)],[c_460,c_53]) ).

cnf(c_484,plain,
    divide(a,c) = zero,
    inference(superposition,[status(thm)],[c_465,c_321]) ).

cnf(c_487,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_484,c_354,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n027.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 Aug 24 13:50:33 EDT 2023
% 0.13/0.34  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.24/1.12  % SZS status Started for theBenchmark.p
% 3.24/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.24/1.12  
% 3.24/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.24/1.12  
% 3.24/1.12  ------  iProver source info
% 3.24/1.12  
% 3.24/1.12  git: date: 2023-05-31 18:12:56 +0000
% 3.24/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.24/1.12  git: non_committed_changes: false
% 3.24/1.12  git: last_make_outside_of_git: false
% 3.24/1.12  
% 3.24/1.12  ------ Parsing...successful
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.24/1.12  
% 3.24/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.24/1.12  
% 3.24/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.24/1.12  ------ Proving...
% 3.24/1.12  ------ Problem Properties 
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  clauses                                 10
% 3.24/1.12  conjectures                             1
% 3.24/1.12  EPR                                     6
% 3.24/1.12  Horn                                    10
% 3.24/1.12  unary                                   7
% 3.24/1.12  binary                                  2
% 3.24/1.12  lits                                    14
% 3.24/1.12  lits eq                                 3
% 3.24/1.12  fd_pure                                 0
% 3.24/1.12  fd_pseudo                               0
% 3.24/1.12  fd_cond                                 0
% 3.24/1.12  fd_pseudo_cond                          1
% 3.24/1.12  AC symbols                              0
% 3.24/1.12  
% 3.24/1.12  ------ Schedule dynamic 5 is on 
% 3.24/1.12  
% 3.24/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  ------ 
% 3.24/1.12  Current options:
% 3.24/1.12  ------ 
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  ------ Proving...
% 3.24/1.12  
% 3.24/1.12  
% 3.24/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.24/1.12  
% 3.24/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.24/1.12  
% 3.24/1.12  
%------------------------------------------------------------------------------