TSTP Solution File: SWV282-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV282-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Thu Aug 31 22:32:04 EDT 2023

% Result   : Unsatisfiable 28.71s 4.75s
% Output   : CNFRefutation 28.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   37 (  11 unt;  16 nHn;  10 RR)
%            Number of literals    :   99 (  56 equ;  22 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   78 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).

cnf(c_50,plain,
    c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).

cnf(c_52,plain,
    ( ~ c_lessequals(X0,X1,tc_nat)
    | c_less(X0,c_Suc(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).

cnf(c_53,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ c_lessequals(v_sko__urX(X1),X0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).

cnf(c_54,negated_conjecture,
    ( X0 = X1
    | X0 = X2
    | X1 = X2
    | c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_1126,plain,
    c_plus(X0,c_0,tc_nat) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__0__right_0) ).

cnf(c_1187,negated_conjecture,
    ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less1_0) ).

cnf(c_1188,negated_conjecture,
    ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less2_0) ).

cnf(c_1892,plain,
    c_less(X0,c_Suc(X0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).

cnf(c_8001,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_54,c_53]) ).

cnf(c_8975,plain,
    ( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
    | c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X2
    | X1 = X2
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_49,c_8001]) ).

cnf(c_8995,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = X0
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = X2
    | X0 = X2
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_8975,c_53]) ).

cnf(c_8997,plain,
    ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = X1
    | c_plus(v_sko__urX(v_evs_H),X2,tc_nat) = X1
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_49,c_8995]) ).

cnf(c_9100,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = X0
    | c_plus(v_sko__urX(v_evs_H),X2,tc_nat) = X0 ),
    inference(superposition,[status(thm)],[c_8997,c_53]) ).

cnf(c_9102,plain,
    ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs),X2,tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = c_plus(v_sko__urX(v_evs),X2,tc_nat) ),
    inference(superposition,[status(thm)],[c_49,c_9100]) ).

cnf(c_9248,plain,
    ( ~ c_less(c_plus(v_sko__urX(v_evs_H),X0,tc_nat),X1,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) = c_plus(v_sko__urX(v_evs),X1,tc_nat) ),
    inference(superposition,[status(thm)],[c_9102,c_1188]) ).

cnf(c_9362,plain,
    ( c_plus(v_sko__urX(v_evs),c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) ),
    inference(superposition,[status(thm)],[c_1892,c_9248]) ).

cnf(c_13004,plain,
    ( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),c_Suc(c_plus(v_sko__urX(v_evs_H),X1,tc_nat)),tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat) ),
    inference(superposition,[status(thm)],[c_9362,c_1188]) ).

cnf(c_13005,plain,
    ( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),v_sko__urX(v_evs),tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat) ),
    inference(superposition,[status(thm)],[c_9362,c_1187]) ).

cnf(c_13024,plain,
    ( ~ c_less(c_plus(v_sko__urX(v_evs),c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),tc_nat),X1,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) ),
    inference(superposition,[status(thm)],[c_9362,c_1188]) ).

cnf(c_13213,plain,
    ( ~ c_less(v_sko__urX(v_evs_H_H),c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),c_0,tc_nat) ),
    inference(superposition,[status(thm)],[c_1126,c_13004]) ).

cnf(c_13465,plain,
    c_plus(v_sko__urX(v_evs_H_H),c_Suc(c_plus(v_sko__urX(v_evs),c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),tc_nat)),tc_nat) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat),
    inference(superposition,[status(thm)],[c_1892,c_13024]) ).

cnf(c_14249,plain,
    c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H),X0,tc_nat),tc_nat),
    inference(superposition,[status(thm)],[c_13465,c_49]) ).

cnf(c_14564,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H),X0,tc_nat),tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),c_0,tc_nat) ),
    inference(superposition,[status(thm)],[c_52,c_13213]) ).

cnf(c_21211,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_54,c_53]) ).

cnf(c_22090,plain,
    ( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
    | c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X2
    | X1 = X2
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_49,c_21211]) ).

cnf(c_22102,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = X0
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = X2
    | X0 = X2
    | c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_22090,c_53]) ).

cnf(c_22104,plain,
    ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = X1
    | c_plus(v_sko__urX(v_evs_H),X2,tc_nat) = X1
    | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_49,c_22102]) ).

cnf(c_22145,plain,
    ( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = X0
    | c_plus(v_sko__urX(v_evs_H),X2,tc_nat) = X0 ),
    inference(superposition,[status(thm)],[c_22104,c_53]) ).

cnf(c_22147,plain,
    ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(X2,v_sko__urX(v_evs),tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = c_plus(X2,v_sko__urX(v_evs),tc_nat) ),
    inference(superposition,[status(thm)],[c_50,c_22145]) ).

cnf(c_22207,plain,
    ( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),v_sko__urX(v_evs),tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = c_plus(X2,v_sko__urX(v_evs),tc_nat) ),
    inference(superposition,[status(thm)],[c_22147,c_1188]) ).

cnf(c_22682,plain,
    ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat)
    | ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),v_sko__urX(v_evs),tc_nat) ),
    inference(global_subsumption_just,[status(thm)],[c_22207,c_13005]) ).

cnf(c_22683,plain,
    ( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),v_sko__urX(v_evs),tc_nat)
    | c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X1,tc_nat) ),
    inference(renaming,[status(thm)],[c_22682]) ).

cnf(c_23180,plain,
    ( ~ c_less(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
    | c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),c_0,tc_nat) ),
    inference(superposition,[status(thm)],[c_1126,c_22683]) ).

cnf(c_23335,plain,
    c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),c_0,tc_nat),
    inference(global_subsumption_just,[status(thm)],[c_23180,c_14249,c_14564]) ).

cnf(c_23349,plain,
    ~ c_less(c_plus(v_sko__urX(v_evs_H_H),c_0,tc_nat),X0,tc_nat),
    inference(superposition,[status(thm)],[c_23335,c_1188]) ).

cnf(c_23413,plain,
    $false,
    inference(superposition,[status(thm)],[c_1892,c_23349]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV282-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n007.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 : Tue Aug 29 09:25:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.71/4.75  % SZS status Started for theBenchmark.p
% 28.71/4.75  % SZS status Unsatisfiable for theBenchmark.p
% 28.71/4.75  
% 28.71/4.75  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.71/4.75  
% 28.71/4.75  ------  iProver source info
% 28.71/4.75  
% 28.71/4.75  git: date: 2023-05-31 18:12:56 +0000
% 28.71/4.75  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.71/4.75  git: non_committed_changes: false
% 28.71/4.75  git: last_make_outside_of_git: false
% 28.71/4.75  
% 28.71/4.75  ------ Parsing...successful
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  ------ Preprocessing... sup_sim: 0  sf_s  rm: 615 0s  sf_e  sup_sim: 0  sf_s  rm: 22 0s  sf_e 
% 28.71/4.75  
% 28.71/4.75  ------ Preprocessing...
% 28.71/4.75  
% 28.71/4.75  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 28.71/4.75  ------ Proving...
% 28.71/4.75  ------ Problem Properties 
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  clauses                                 2252
% 28.71/4.75  conjectures                             90
% 28.71/4.75  EPR                                     663
% 28.71/4.75  Horn                                    2054
% 28.71/4.75  unary                                   697
% 28.71/4.75  binary                                  1115
% 28.71/4.75  lits                                    4474
% 28.71/4.75  lits eq                                 1217
% 28.71/4.75  fd_pure                                 0
% 28.71/4.75  fd_pseudo                               0
% 28.71/4.75  fd_cond                                 99
% 28.71/4.75  fd_pseudo_cond                          89
% 28.71/4.75  AC symbols                              0
% 28.71/4.75  
% 28.71/4.75  ------ Input Options Time Limit: Unbounded
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  ------ 
% 28.71/4.75  Current options:
% 28.71/4.75  ------ 
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  ------ Proving...
% 28.71/4.75  
% 28.71/4.75  
% 28.71/4.75  % SZS status Unsatisfiable for theBenchmark.p
% 28.71/4.75  
% 28.71/4.75  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.71/4.75  
% 28.71/4.75  
%------------------------------------------------------------------------------