TSTP Solution File: FLD010-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 02:15:07 EDT 2024

% Result   : Unsatisfiable 2.53s 1.21s
% Output   : CNFRefutation 2.53s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).

cnf(c_55,plain,
    ( ~ defined(X0)
    | equalish(multiply(multiplicative_identity,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).

cnf(c_56,plain,
    ( ~ defined(X0)
    | equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
    | equalish(X0,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).

cnf(c_63,plain,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).

cnf(c_64,plain,
    ( ~ defined(X0)
    | equalish(X0,additive_identity)
    | defined(multiplicative_inverse(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).

cnf(c_71,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_72,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(c_76,plain,
    ~ equalish(additive_identity,multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',different_identities) ).

cnf(c_243,plain,
    multiplicative_inverse(multiplicative_identity) = sP0_iProver_def,
    definition ).

cnf(c_244,negated_conjecture,
    ~ equalish(sP0_iProver_def,multiplicative_identity),
    inference(demodulation,[status(thm)],[c_49,c_243]) ).

cnf(c_700,plain,
    ( ~ defined(X0)
    | equalish(additive_identity,X0)
    | defined(multiplicative_inverse(X0)) ),
    inference(superposition,[status(thm)],[c_64,c_71]) ).

cnf(c_726,plain,
    ( ~ defined(multiplicative_identity)
    | defined(multiplicative_inverse(multiplicative_identity)) ),
    inference(superposition,[status(thm)],[c_700,c_76]) ).

cnf(c_727,plain,
    ( ~ defined(multiplicative_identity)
    | defined(sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_726,c_243]) ).

cnf(c_728,plain,
    defined(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_727,c_63]) ).

cnf(c_841,plain,
    ( ~ defined(multiplicative_identity)
    | equalish(multiply(multiplicative_identity,sP0_iProver_def),multiplicative_identity)
    | equalish(multiplicative_identity,additive_identity) ),
    inference(superposition,[status(thm)],[c_243,c_56]) ).

cnf(c_845,plain,
    ( equalish(multiply(multiplicative_identity,sP0_iProver_def),multiplicative_identity)
    | equalish(multiplicative_identity,additive_identity) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_841,c_63]) ).

cnf(c_865,plain,
    ( equalish(multiplicative_identity,multiply(multiplicative_identity,sP0_iProver_def))
    | equalish(multiplicative_identity,additive_identity) ),
    inference(superposition,[status(thm)],[c_845,c_71]) ).

cnf(c_963,plain,
    ( ~ equalish(multiplicative_identity,additive_identity)
    | equalish(additive_identity,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_964,plain,
    ( ~ equalish(multiplicative_identity,sP0_iProver_def)
    | equalish(sP0_iProver_def,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_971,plain,
    equalish(multiplicative_identity,multiply(multiplicative_identity,sP0_iProver_def)),
    inference(global_subsumption_just,[status(thm)],[c_865,c_76,c_865,c_963]) ).

cnf(c_974,plain,
    ( ~ equalish(multiply(multiplicative_identity,sP0_iProver_def),X0)
    | equalish(multiplicative_identity,X0) ),
    inference(superposition,[status(thm)],[c_971,c_72]) ).

cnf(c_1010,plain,
    ( ~ defined(sP0_iProver_def)
    | equalish(multiplicative_identity,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_55,c_974]) ).

cnf(c_1016,plain,
    equalish(multiplicative_identity,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_1010,c_728]) ).

cnf(c_1024,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1016,c_964,c_244]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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 May  2 23:08:46 EDT 2024
% 0.13/0.34  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.53/1.21  % SZS status Started for theBenchmark.p
% 2.53/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.53/1.21  
% 2.53/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.53/1.21  
% 2.53/1.21  ------  iProver source info
% 2.53/1.21  
% 2.53/1.21  git: date: 2024-05-02 19:28:25 +0000
% 2.53/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.53/1.21  git: non_committed_changes: false
% 2.53/1.21  
% 2.53/1.21  ------ Parsing...successful
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.53/1.21  
% 2.53/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.53/1.21  
% 2.53/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.53/1.21  ------ Proving...
% 2.53/1.21  ------ Problem Properties 
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  clauses                                 29
% 2.53/1.21  conjectures                             1
% 2.53/1.21  EPR                                     11
% 2.53/1.21  Horn                                    26
% 2.53/1.21  unary                                   5
% 2.53/1.21  binary                                  6
% 2.53/1.21  lits                                    75
% 2.53/1.21  lits eq                                 1
% 2.53/1.21  fd_pure                                 0
% 2.53/1.21  fd_pseudo                               0
% 2.53/1.21  fd_cond                                 0
% 2.53/1.21  fd_pseudo_cond                          0
% 2.53/1.21  AC symbols                              0
% 2.53/1.21  
% 2.53/1.21  ------ Schedule dynamic 5 is on 
% 2.53/1.21  
% 2.53/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  ------ 
% 2.53/1.21  Current options:
% 2.53/1.21  ------ 
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  ------ Proving...
% 2.53/1.21  
% 2.53/1.21  
% 2.53/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.53/1.21  
% 2.53/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.53/1.21  
% 2.53/1.21  
%------------------------------------------------------------------------------