TSTP Solution File: HEN007-4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 01:55:58 EDT 2023

% Result   : Unsatisfiable 2.75s 1.16s
% Output   : CNFRefutation 2.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :   18 (   2 equ;   8 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   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    divide(X0,X0) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).

cnf(c_53,plain,
    ( ~ less_equal(X0,X1)
    | ~ less_equal(X1,X2)
    | less_equal(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).

cnf(c_54,plain,
    ( ~ less_equal(divide(X0,X1),X2)
    | less_equal(divide(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).

cnf(c_55,plain,
    less_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).

cnf(c_56,negated_conjecture,
    ~ less_equal(divide(c,b),divide(c,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).

cnf(c_58,plain,
    ( divide(X0,X1) != zero
    | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).

cnf(c_406,plain,
    less_equal(X0,X0),
    inference(superposition,[status(thm)],[c_51,c_58]) ).

cnf(c_447,plain,
    less_equal(divide(X0,divide(X0,X1)),X1),
    inference(superposition,[status(thm)],[c_406,c_54]) ).

cnf(c_484,plain,
    ( ~ less_equal(X0,X1)
    | less_equal(divide(X2,divide(X2,X0)),X1) ),
    inference(superposition,[status(thm)],[c_447,c_53]) ).

cnf(c_1116,plain,
    ( ~ less_equal(X0,X1)
    | less_equal(divide(X2,X1),divide(X2,X0)) ),
    inference(superposition,[status(thm)],[c_484,c_54]) ).

cnf(c_3075,plain,
    ~ less_equal(a,b),
    inference(superposition,[status(thm)],[c_1116,c_56]) ).

cnf(c_3076,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3075,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 13:39:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.75/1.16  % SZS status Started for theBenchmark.p
% 2.75/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.75/1.16  
% 2.75/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.75/1.16  
% 2.75/1.16  ------  iProver source info
% 2.75/1.16  
% 2.75/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.75/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.75/1.16  git: non_committed_changes: false
% 2.75/1.16  git: last_make_outside_of_git: false
% 2.75/1.16  
% 2.75/1.16  ------ Parsing...successful
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.75/1.16  
% 2.75/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.75/1.16  
% 2.75/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.75/1.16  ------ Proving...
% 2.75/1.16  ------ Problem Properties 
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  clauses                                 15
% 2.75/1.16  conjectures                             1
% 2.75/1.16  EPR                                     5
% 2.75/1.16  Horn                                    15
% 2.75/1.16  unary                                   10
% 2.75/1.16  binary                                  3
% 2.75/1.16  lits                                    22
% 2.75/1.16  lits eq                                 7
% 2.75/1.16  fd_pure                                 0
% 2.75/1.16  fd_pseudo                               0
% 2.75/1.16  fd_cond                                 0
% 2.75/1.16  fd_pseudo_cond                          1
% 2.75/1.16  AC symbols                              0
% 2.75/1.16  
% 2.75/1.16  ------ Schedule dynamic 5 is on 
% 2.75/1.16  
% 2.75/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  ------ 
% 2.75/1.16  Current options:
% 2.75/1.16  ------ 
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  ------ Proving...
% 2.75/1.16  
% 2.75/1.16  
% 2.75/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.75/1.16  
% 2.75/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.75/1.16  
% 2.75/1.16  
%------------------------------------------------------------------------------