TSTP Solution File: SWV727-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV727-1 : TPTP v8.1.2. Released v4.1.0.
% 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 22:42:24 EDT 2023

% Result   : Unsatisfiable 62.06s 9.35s
% Output   : CNFRefutation 62.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   26 (  10 unt;  10 nHn;  24 RR)
%            Number of literals    :   49 (  16 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-3 aty)
%            Number of variables   :   24 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_304,plain,
    ( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
    | c_Message_OinvKey(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).

cnf(c_349,plain,
    c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

cnf(c_432,plain,
    ( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).

cnf(c_454,plain,
    ( ~ c_in(X0,X1,tc_Message_Omsg)
    | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).

cnf(c_464,plain,
    ( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
    | c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).

cnf(c_469,plain,
    ( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).

cnf(c_489,plain,
    c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).

cnf(c_503,plain,
    ( ~ c_in(X0,X1,X2)
    | c_Set_Oinsert(X0,X1,X2) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

cnf(c_510,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_512,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_514,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_515,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_516,negated_conjecture,
    ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_6924,plain,
    c_Message_OinvKey(v_K) = v_K,
    inference(superposition,[status(thm)],[c_510,c_304]) ).

cnf(c_10519,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
    | c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_515,c_432]) ).

cnf(c_10524,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
    | c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_10519,c_6924]) ).

cnf(c_23162,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
    | c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool))))
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_10524,c_503]) ).

cnf(c_28134,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
    | c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool))))
    | c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg)) = c_Message_Oparts(X0) ),
    inference(superposition,[status(thm)],[c_23162,c_464]) ).

cnf(c_38397,plain,
    ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))))
    | c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)) ),
    inference(superposition,[status(thm)],[c_512,c_28134]) ).

cnf(c_38409,plain,
    ( c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))
    | c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))) ),
    inference(demodulation,[status(thm)],[c_38397,c_349]) ).

cnf(c_39043,plain,
    ( ~ c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)
    | c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))
    | c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_38409,c_454]) ).

cnf(c_56836,plain,
    ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_489,c_39043]) ).

cnf(c_56996,plain,
    ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_56836,c_469]) ).

cnf(c_56997,plain,
    c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),
    inference(global_subsumption_just,[status(thm)],[c_56996,c_514,c_56996]) ).

cnf(c_58289,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
    inference(superposition,[status(thm)],[c_56997,c_489]) ).

cnf(c_58295,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_58289,c_516,c_514]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV727-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n017.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 : Tue Aug 29 07:46:58 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 62.06/9.35  % SZS status Started for theBenchmark.p
% 62.06/9.35  % SZS status Unsatisfiable for theBenchmark.p
% 62.06/9.35  
% 62.06/9.35  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 62.06/9.35  
% 62.06/9.35  ------  iProver source info
% 62.06/9.35  
% 62.06/9.35  git: date: 2023-05-31 18:12:56 +0000
% 62.06/9.35  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 62.06/9.35  git: non_committed_changes: false
% 62.06/9.35  git: last_make_outside_of_git: false
% 62.06/9.35  
% 62.06/9.35  ------ Parsing...successful
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  ------ Preprocessing... sf_s  rm: 6 0s  sf_e  sf_s  rm: 2 0s  sf_e 
% 62.06/9.35  
% 62.06/9.35  ------ Preprocessing...
% 62.06/9.35  
% 62.06/9.35  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 62.06/9.35  ------ Proving...
% 62.06/9.35  ------ Problem Properties 
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  clauses                                 428
% 62.06/9.35  conjectures                             7
% 62.06/9.35  EPR                                     25
% 62.06/9.35  Horn                                    394
% 62.06/9.35  unary                                   181
% 62.06/9.35  binary                                  165
% 62.06/9.35  lits                                    770
% 62.06/9.35  lits eq                                 229
% 62.06/9.35  fd_pure                                 0
% 62.06/9.35  fd_pseudo                               0
% 62.06/9.35  fd_cond                                 1
% 62.06/9.35  fd_pseudo_cond                          44
% 62.06/9.35  AC symbols                              0
% 62.06/9.35  
% 62.06/9.35  ------ Input Options Time Limit: Unbounded
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  ------ 
% 62.06/9.35  Current options:
% 62.06/9.35  ------ 
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  ------ Proving...
% 62.06/9.35  
% 62.06/9.35  
% 62.06/9.35  % SZS status Unsatisfiable for theBenchmark.p
% 62.06/9.35  
% 62.06/9.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.06/9.35  
% 62.06/9.36  
%------------------------------------------------------------------------------