TSTP Solution File: HEN011-5 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HEN011-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 01:56:04 EDT 2023

% Result   : Unsatisfiable 10.70s 2.18s
% Output   : CNFRefutation 10.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  17 unt;   0 nHn;   8 RR)
%            Number of literals    :   30 (  29 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   50 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    divide(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_zero_is_x) ).

cnf(c_52,plain,
    ( divide(divide(X0,X1),X2) != zero
    | divide(divide(X0,X2),X1) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).

cnf(c_54,plain,
    ( divide(X0,X1) != zero
    | divide(divide(X0,X2),divide(X1,X2)) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).

cnf(c_55,plain,
    divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).

cnf(c_57,negated_conjecture,
    divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_58,plain,
    divide(divide(X0,X1),X0) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).

cnf(c_59,plain,
    divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_property) ).

cnf(c_60,plain,
    divide(zero,X0) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).

cnf(c_61,plain,
    ( divide(X0,X1) != zero
    | divide(X1,X0) != zero
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).

cnf(c_236,plain,
    divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)) = zero,
    inference(superposition,[status(thm)],[c_58,c_59]) ).

cnf(c_317,plain,
    ( divide(zero,X0) != zero
    | divide(divide(divide(divide(X1,X2),divide(X3,X2)),X0),divide(divide(X1,X3),X2)) = zero ),
    inference(superposition,[status(thm)],[c_59,c_52]) ).

cnf(c_334,plain,
    divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(X0,X2),X1)) = zero,
    inference(forward_subsumption_resolution,[status(thm)],[c_317,c_60]) ).

cnf(c_774,plain,
    divide(divide(divide(X0,X1),X2),divide(X0,X2)) = zero,
    inference(superposition,[status(thm)],[c_58,c_54]) ).

cnf(c_11678,plain,
    divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)) = zero,
    inference(demodulation,[status(thm)],[c_236,c_50]) ).

cnf(c_11850,plain,
    ( divide(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1)) != zero
    | divide(divide(X0,divide(X1,X2)),X1) = divide(X0,X1) ),
    inference(superposition,[status(thm)],[c_11678,c_61]) ).

cnf(c_12052,plain,
    divide(divide(X0,divide(X1,X2)),X1) = divide(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[c_11850,c_774]) ).

cnf(c_48606,plain,
    divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)) = zero,
    inference(superposition,[status(thm)],[c_12052,c_334]) ).

cnf(c_50997,plain,
    ( divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)) != zero
    | divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1) ),
    inference(superposition,[status(thm)],[c_48606,c_61]) ).

cnf(c_51651,plain,
    divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
    inference(forward_subsumption_resolution,[status(thm)],[c_50997,c_48606]) ).

cnf(c_52060,plain,
    divide(divide(identity,X0),divide(identity,divide(identity,X1))) = divide(divide(identity,X1),X0),
    inference(superposition,[status(thm)],[c_55,c_51651]) ).

cnf(c_52682,plain,
    divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,b),a),
    inference(demodulation,[status(thm)],[c_57,c_52060]) ).

cnf(c_53150,plain,
    divide(divide(identity,a),b) != divide(divide(identity,a),b),
    inference(demodulation,[status(thm)],[c_52682,c_51651,c_52060]) ).

cnf(c_53151,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_53150]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN011-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n017.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 12:55:24 EDT 2023
% 0.13/0.35  % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.70/2.18  % SZS status Started for theBenchmark.p
% 10.70/2.18  % SZS status Unsatisfiable for theBenchmark.p
% 10.70/2.18  
% 10.70/2.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.70/2.18  
% 10.70/2.18  ------  iProver source info
% 10.70/2.18  
% 10.70/2.18  git: date: 2023-05-31 18:12:56 +0000
% 10.70/2.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.70/2.18  git: non_committed_changes: false
% 10.70/2.18  git: last_make_outside_of_git: false
% 10.70/2.18  
% 10.70/2.18  ------ Parsing...successful
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 10.70/2.18  
% 10.70/2.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.70/2.18  
% 10.70/2.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.70/2.18  ------ Proving...
% 10.70/2.18  ------ Problem Properties 
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  clauses                                 14
% 10.70/2.18  conjectures                             1
% 10.70/2.18  EPR                                     0
% 10.70/2.18  Horn                                    14
% 10.70/2.18  unary                                   9
% 10.70/2.18  binary                                  3
% 10.70/2.18  lits                                    21
% 10.70/2.18  lits eq                                 21
% 10.70/2.18  fd_pure                                 0
% 10.70/2.18  fd_pseudo                               0
% 10.70/2.18  fd_cond                                 0
% 10.70/2.18  fd_pseudo_cond                          1
% 10.70/2.18  AC symbols                              0
% 10.70/2.18  
% 10.70/2.18  ------ Schedule dynamic 5 is on 
% 10.70/2.18  
% 10.70/2.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  ------ 
% 10.70/2.18  Current options:
% 10.70/2.18  ------ 
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  ------ Proving...
% 10.70/2.18  
% 10.70/2.18  
% 10.70/2.18  % SZS status Unsatisfiable for theBenchmark.p
% 10.70/2.18  
% 10.70/2.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.70/2.18  
% 10.70/2.18  
%------------------------------------------------------------------------------