TSTP Solution File: SWV275-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 03:13:56 EDT 2024

% Result   : Unsatisfiable 0.88s 1.11s
% Output   : CNFRefutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (   6 unt;   5 nHn;  14 RR)
%            Number of literals    :   43 (   6 equ;  17 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   48 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_in(X0,X1,tc_Message_Omsg)
    | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

cnf(c_50,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__mono_0) ).

cnf(c_51,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_insert(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).

cnf(c_52,plain,
    c_in(X0,c_insert(X0,X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(c_53,plain,
    ( ~ c_in(X0,c_insert(X1,X2,X3),X3)
    | X0 = X1
    | c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

cnf(c_54,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

cnf(c_55,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(c_56,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(c_57,negated_conjecture,
    ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_285,plain,
    ( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
    | ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
    | c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_50,c_54]) ).

cnf(c_292,plain,
    ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
    | c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
    | c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
    inference(superposition,[status(thm)],[c_55,c_53]) ).

cnf(c_300,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
    | c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_49,c_56]) ).

cnf(c_301,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3)
    | c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_51,c_56]) ).

cnf(c_329,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
    | c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),X3,tc_Message_Omsg) = X2
    | c_in(c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),X3,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)
    | c_lessequals(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),X3,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_292,c_285]) ).

cnf(c_395,plain,
    c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)),
    inference(superposition,[status(thm)],[c_55,c_301]) ).

cnf(c_451,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
    | c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X2
    | c_lessequals(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_329,c_56]) ).

cnf(c_1857,plain,
    ( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
    inference(superposition,[status(thm)],[c_451,c_57]) ).

cnf(c_1928,plain,
    c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X,
    inference(superposition,[status(thm)],[c_395,c_1857]) ).

cnf(c_1934,plain,
    ( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_1928,c_300]) ).

cnf(c_1939,plain,
    ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(global_subsumption_just,[status(thm)],[c_1934,c_57,c_1934]) ).

cnf(c_1998,plain,
    $false,
    inference(superposition,[status(thm)],[c_52,c_1939]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 00:11:59 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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
% 0.88/1.11  % SZS status Started for theBenchmark.p
% 0.88/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 0.88/1.11  
% 0.88/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.88/1.11  
% 0.88/1.11  ------  iProver source info
% 0.88/1.11  
% 0.88/1.11  git: date: 2024-05-02 19:28:25 +0000
% 0.88/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.88/1.11  git: non_committed_changes: false
% 0.88/1.11  
% 0.88/1.11  ------ Parsing...successful
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.88/1.11  
% 0.88/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.88/1.11  
% 0.88/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.88/1.11  ------ Proving...
% 0.88/1.11  ------ Problem Properties 
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  clauses                                 9
% 0.88/1.11  conjectures                             1
% 0.88/1.11  EPR                                     0
% 0.88/1.11  Horn                                    7
% 0.88/1.11  unary                                   2
% 0.88/1.11  binary                                  5
% 0.88/1.11  lits                                    18
% 0.88/1.11  lits eq                                 1
% 0.88/1.11  fd_pure                                 0
% 0.88/1.11  fd_pseudo                               0
% 0.88/1.11  fd_cond                                 0
% 0.88/1.11  fd_pseudo_cond                          1
% 0.88/1.11  AC symbols                              0
% 0.88/1.11  
% 0.88/1.11  ------ Input Options Time Limit: Unbounded
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  ------ 
% 0.88/1.11  Current options:
% 0.88/1.11  ------ 
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  ------ Proving...
% 0.88/1.11  
% 0.88/1.11  
% 0.88/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 0.88/1.11  
% 0.88/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.88/1.11  
% 0.88/1.11  
%------------------------------------------------------------------------------