TSTP Solution File: HEN011-5 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HEN011-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:25:25 EDT 2024

% Result   : Unsatisfiable 8.43s 1.70s
% Output   : CNFRefutation 8.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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_53,plain,
    ( divide(X0,X1) != zero
    | divide(divide(X2,X1),divide(X2,X0)) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).

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_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_138,plain,
    divide(identity,a) = sP0_iProver_def,
    definition ).

cnf(c_139,plain,
    divide(identity,b) = sP1_iProver_def,
    definition ).

cnf(c_140,plain,
    divide(identity,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_141,plain,
    divide(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_142,plain,
    divide(identity,sP0_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_143,plain,
    divide(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_144,negated_conjecture,
    sP3_iProver_def != sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_57,c_142,c_143,c_139,c_140,c_138,c_141]) ).

cnf(c_234,plain,
    divide(identity,divide(identity,sP0_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_138,c_55]) ).

cnf(c_235,plain,
    divide(identity,divide(identity,sP1_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_139,c_55]) ).

cnf(c_240,plain,
    divide(identity,sP2_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_235,c_140]) ).

cnf(c_241,plain,
    divide(identity,sP4_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_234,c_142]) ).

cnf(c_342,plain,
    divide(divide(sP1_iProver_def,divide(X0,sP2_iProver_def)),divide(divide(identity,X0),sP2_iProver_def)) = zero,
    inference(superposition,[status(thm)],[c_240,c_59]) ).

cnf(c_343,plain,
    divide(divide(sP0_iProver_def,divide(X0,sP4_iProver_def)),divide(divide(identity,X0),sP4_iProver_def)) = zero,
    inference(superposition,[status(thm)],[c_241,c_59]) ).

cnf(c_694,plain,
    divide(divide(X0,X1),divide(X0,divide(X1,X2))) = zero,
    inference(superposition,[status(thm)],[c_58,c_53]) ).

cnf(c_14047,plain,
    divide(divide(sP1_iProver_def,divide(sP0_iProver_def,sP2_iProver_def)),divide(sP4_iProver_def,sP2_iProver_def)) = zero,
    inference(superposition,[status(thm)],[c_142,c_342]) ).

cnf(c_14069,plain,
    divide(divide(sP1_iProver_def,sP3_iProver_def),divide(sP4_iProver_def,sP2_iProver_def)) = zero,
    inference(light_normalisation,[status(thm)],[c_14047,c_141]) ).

cnf(c_14883,plain,
    divide(divide(sP0_iProver_def,divide(sP1_iProver_def,sP4_iProver_def)),divide(sP2_iProver_def,sP4_iProver_def)) = zero,
    inference(superposition,[status(thm)],[c_140,c_343]) ).

cnf(c_14907,plain,
    divide(divide(sP0_iProver_def,sP5_iProver_def),divide(sP2_iProver_def,sP4_iProver_def)) = zero,
    inference(light_normalisation,[status(thm)],[c_14883,c_143]) ).

cnf(c_15919,plain,
    divide(divide(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def),zero) = zero,
    inference(superposition,[status(thm)],[c_14069,c_694]) ).

cnf(c_15921,plain,
    divide(divide(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def),zero) = zero,
    inference(superposition,[status(thm)],[c_14907,c_694]) ).

cnf(c_23904,plain,
    divide(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def) = zero,
    inference(demodulation,[status(thm)],[c_15919,c_50]) ).

cnf(c_23923,plain,
    divide(divide(sP1_iProver_def,sP4_iProver_def),sP3_iProver_def) = zero,
    inference(superposition,[status(thm)],[c_23904,c_52]) ).

cnf(c_23936,plain,
    divide(sP5_iProver_def,sP3_iProver_def) = zero,
    inference(light_normalisation,[status(thm)],[c_23923,c_143]) ).

cnf(c_24032,plain,
    ( divide(sP3_iProver_def,sP5_iProver_def) != zero
    | sP3_iProver_def = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_23936,c_61]) ).

cnf(c_24067,plain,
    divide(sP3_iProver_def,sP5_iProver_def) != zero,
    inference(forward_subsumption_resolution,[status(thm)],[c_24032,c_144]) ).

cnf(c_24902,plain,
    divide(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def) = zero,
    inference(demodulation,[status(thm)],[c_15921,c_50]) ).

cnf(c_24921,plain,
    divide(divide(sP0_iProver_def,sP2_iProver_def),sP5_iProver_def) = zero,
    inference(superposition,[status(thm)],[c_24902,c_52]) ).

cnf(c_24934,plain,
    divide(sP3_iProver_def,sP5_iProver_def) = zero,
    inference(light_normalisation,[status(thm)],[c_24921,c_141]) ).

cnf(c_24935,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_24934,c_24067]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : HEN011-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 18:30:35 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.43/1.70  % SZS status Started for theBenchmark.p
% 8.43/1.70  % SZS status Unsatisfiable for theBenchmark.p
% 8.43/1.70  
% 8.43/1.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.43/1.70  
% 8.43/1.70  ------  iProver source info
% 8.43/1.70  
% 8.43/1.70  git: date: 2024-05-02 19:28:25 +0000
% 8.43/1.70  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.43/1.70  git: non_committed_changes: false
% 8.43/1.70  
% 8.43/1.70  ------ Parsing...successful
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.43/1.70  
% 8.43/1.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.43/1.70  
% 8.43/1.70  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 8.43/1.70  ------ Proving...
% 8.43/1.70  ------ Problem Properties 
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  clauses                                 20
% 8.43/1.70  conjectures                             1
% 8.43/1.70  EPR                                     1
% 8.43/1.70  Horn                                    20
% 8.43/1.70  unary                                   15
% 8.43/1.70  binary                                  3
% 8.43/1.70  lits                                    27
% 8.43/1.70  lits eq                                 27
% 8.43/1.70  fd_pure                                 0
% 8.43/1.70  fd_pseudo                               0
% 8.43/1.70  fd_cond                                 0
% 8.43/1.70  fd_pseudo_cond                          1
% 8.43/1.70  AC symbols                              0
% 8.43/1.70  
% 8.43/1.70  ------ Schedule dynamic 5 is on 
% 8.43/1.70  
% 8.43/1.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  ------ 
% 8.43/1.70  Current options:
% 8.43/1.70  ------ 
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  ------ Proving...
% 8.43/1.70  
% 8.43/1.70  
% 8.43/1.70  % SZS status Unsatisfiable for theBenchmark.p
% 8.43/1.70  
% 8.43/1.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.43/1.70  
% 8.43/1.70  
%------------------------------------------------------------------------------