TSTP Solution File: HEN004-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HEN004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 01:55:53 EDT 2023

% Result   : Unsatisfiable 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   24 (  19 unt;   0 nHn;   7 RR)
%            Number of literals    :   30 (  13 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    divide(a,zero) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).

cnf(c_50,plain,
    ( ~ less_equal(X0,X1)
    | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).

cnf(c_51,plain,
    ( divide(X0,X1) != zero
    | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).

cnf(c_52,plain,
    less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).

cnf(c_53,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_54,plain,
    less_equal(zero,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).

cnf(c_55,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_276,plain,
    divide(divide(X0,X1),X0) = zero,
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_277,plain,
    divide(zero,X0) = zero,
    inference(superposition,[status(thm)],[c_54,c_50]) ).

cnf(c_303,plain,
    ( ~ less_equal(X0,zero)
    | X0 = zero ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

cnf(c_317,plain,
    less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
    inference(superposition,[status(thm)],[c_277,c_53]) ).

cnf(c_319,plain,
    less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
    inference(superposition,[status(thm)],[c_276,c_53]) ).

cnf(c_365,plain,
    less_equal(divide(divide(X0,X0),zero),zero),
    inference(superposition,[status(thm)],[c_276,c_319]) ).

cnf(c_381,plain,
    divide(divide(X0,X0),zero) = zero,
    inference(superposition,[status(thm)],[c_365,c_303]) ).

cnf(c_390,plain,
    less_equal(divide(X0,X0),zero),
    inference(superposition,[status(thm)],[c_381,c_51]) ).

cnf(c_403,plain,
    divide(X0,X0) = zero,
    inference(superposition,[status(thm)],[c_390,c_303]) ).

cnf(c_443,plain,
    less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
    inference(superposition,[status(thm)],[c_403,c_317]) ).

cnf(c_652,plain,
    divide(divide(X0,divide(X0,zero)),zero) = zero,
    inference(superposition,[status(thm)],[c_443,c_303]) ).

cnf(c_759,plain,
    less_equal(divide(X0,divide(X0,zero)),zero),
    inference(superposition,[status(thm)],[c_652,c_51]) ).

cnf(c_797,plain,
    divide(X0,divide(X0,zero)) = zero,
    inference(superposition,[status(thm)],[c_759,c_303]) ).

cnf(c_807,plain,
    less_equal(X0,divide(X0,zero)),
    inference(superposition,[status(thm)],[c_797,c_51]) ).

cnf(c_864,plain,
    ( ~ less_equal(divide(X0,zero),X0)
    | divide(X0,zero) = X0 ),
    inference(superposition,[status(thm)],[c_807,c_55]) ).

cnf(c_868,plain,
    divide(X0,zero) = X0,
    inference(forward_subsumption_resolution,[status(thm)],[c_864,c_52]) ).

cnf(c_869,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_868]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n024.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 : Thu Aug 24 13:23:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  git: last_make_outside_of_git: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...successful
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 8
% 0.48/1.16  conjectures                             1
% 0.48/1.16  EPR                                     3
% 0.48/1.16  Horn                                    8
% 0.48/1.16  unary                                   5
% 0.48/1.16  binary                                  2
% 0.48/1.16  lits                                    12
% 0.48/1.16  lits eq                                 4
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 0
% 0.48/1.16  fd_pseudo_cond                          1
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule dynamic 5 is on 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16  
% 0.48/1.16  
%------------------------------------------------------------------------------