TSTP Solution File: HEN005-5 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HEN005-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 02:25:18 EDT 2024

% Result   : Unsatisfiable 3.49s 1.24s
% Output   : CNFRefutation 3.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(a,b) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_is_zero) ).

cnf(c_50,plain,
    divide(b,c) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_divide_c_is_zero) ).

cnf(c_51,negated_conjecture,
    divide(a,c) != zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_divide_to_zero) ).

cnf(c_53,plain,
    divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).

cnf(c_54,plain,
    divide(zero,X0) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).

cnf(c_55,plain,
    ( divide(X0,X1) != zero
    | divide(X1,X0) != zero
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).

cnf(c_88,plain,
    divide(a,c) = sP0_iProver_def,
    definition ).

cnf(c_89,negated_conjecture,
    sP0_iProver_def != zero,
    inference(demodulation,[status(thm)],[c_51,c_88]) ).

cnf(c_159,plain,
    divide(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)) = zero,
    inference(superposition,[status(thm)],[c_49,c_53]) ).

cnf(c_179,plain,
    divide(divide(divide(a,X0),divide(b,X0)),zero) = zero,
    inference(light_normalisation,[status(thm)],[c_159,c_54]) ).

cnf(c_207,plain,
    ( divide(zero,sP0_iProver_def) != zero
    | divide(sP0_iProver_def,zero) != zero
    | sP0_iProver_def = zero ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_210,plain,
    divide(zero,sP0_iProver_def) = zero,
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_226,plain,
    ( divide(X0,zero) != zero
    | X0 = zero ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

cnf(c_600,plain,
    divide(divide(divide(a,c),zero),zero) = zero,
    inference(superposition,[status(thm)],[c_50,c_179]) ).

cnf(c_611,plain,
    divide(divide(sP0_iProver_def,zero),zero) = zero,
    inference(light_normalisation,[status(thm)],[c_600,c_88]) ).

cnf(c_633,plain,
    divide(sP0_iProver_def,zero) = zero,
    inference(superposition,[status(thm)],[c_611,c_226]) ).

cnf(c_636,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_633,c_210,c_207,c_89]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : HEN005-5 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May  2 18:34:04 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.49/1.24  % SZS status Started for theBenchmark.p
% 3.49/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 3.49/1.24  
% 3.49/1.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.49/1.24  
% 3.49/1.24  ------  iProver source info
% 3.49/1.24  
% 3.49/1.24  git: date: 2024-05-02 19:28:25 +0000
% 3.49/1.24  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.49/1.24  git: non_committed_changes: false
% 3.49/1.24  
% 3.49/1.24  ------ Parsing...successful
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.49/1.24  
% 3.49/1.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.49/1.24  
% 3.49/1.24  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.49/1.24  ------ Proving...
% 3.49/1.24  ------ Problem Properties 
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  clauses                                 9
% 3.49/1.24  conjectures                             1
% 3.49/1.24  EPR                                     1
% 3.49/1.24  Horn                                    9
% 3.49/1.24  unary                                   8
% 3.49/1.24  binary                                  0
% 3.49/1.24  lits                                    11
% 3.49/1.24  lits eq                                 11
% 3.49/1.24  fd_pure                                 0
% 3.49/1.24  fd_pseudo                               0
% 3.49/1.24  fd_cond                                 0
% 3.49/1.24  fd_pseudo_cond                          1
% 3.49/1.24  AC symbols                              0
% 3.49/1.24  
% 3.49/1.24  ------ Schedule dynamic 5 is on 
% 3.49/1.24  
% 3.49/1.24  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  ------ 
% 3.49/1.24  Current options:
% 3.49/1.24  ------ 
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  ------ Proving...
% 3.49/1.24  
% 3.49/1.24  
% 3.49/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 3.49/1.24  
% 3.49/1.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.49/1.24  
% 3.49/1.24  
%------------------------------------------------------------------------------