TSTP Solution File: SWV261-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 03:13:53 EDT 2024

% Result   : Unsatisfiable 3.93s 1.17s
% Output   : CNFRefutation 3.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   20 (   7 unt;   4 nHn;  14 RR)
%            Number of literals    :   36 (   4 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   45 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,plain,
    c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).

cnf(c_52,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

cnf(c_53,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_union(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

cnf(c_54,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_union(X1,X3,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

cnf(c_55,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_56,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_57,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_58,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_lessequals(X3,X0,tc_set(X2))
    | c_lessequals(X3,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(c_309,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_56,c_55]) ).

cnf(c_317,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
    | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_53,c_57]) ).

cnf(c_318,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
    | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_54,c_57]) ).

cnf(c_330,plain,
    ( ~ c_lessequals(X0,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | c_lessequals(X0,c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_51,c_58]) ).

cnf(c_362,plain,
    ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2) = X0
    | c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2)) ),
    inference(superposition,[status(thm)],[c_309,c_317]) ).

cnf(c_413,plain,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_330,c_50]) ).

cnf(c_427,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_52,c_413]) ).

cnf(c_609,plain,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X,
    inference(superposition,[status(thm)],[c_362,c_427]) ).

cnf(c_619,plain,
    ( ~ c_in(v_X,v_G,tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_609,c_318]) ).

cnf(c_623,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_619,c_427,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May  3 00:50:30 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 3.93/1.17  % SZS status Started for theBenchmark.p
% 3.93/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.17  
% 3.93/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.93/1.17  
% 3.93/1.17  ------  iProver source info
% 3.93/1.17  
% 3.93/1.17  git: date: 2024-05-02 19:28:25 +0000
% 3.93/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.93/1.17  git: non_committed_changes: false
% 3.93/1.17  
% 3.93/1.17  ------ Parsing...successful
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.93/1.17  
% 3.93/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.93/1.17  
% 3.93/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.93/1.17  ------ Proving...
% 3.93/1.17  ------ Problem Properties 
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  clauses                                 10
% 3.93/1.17  conjectures                             2
% 3.93/1.17  EPR                                     1
% 3.93/1.17  Horn                                    8
% 3.93/1.17  unary                                   3
% 3.93/1.17  binary                                  5
% 3.93/1.17  lits                                    19
% 3.93/1.17  lits eq                                 1
% 3.93/1.17  fd_pure                                 0
% 3.93/1.17  fd_pseudo                               0
% 3.93/1.17  fd_cond                                 0
% 3.93/1.17  fd_pseudo_cond                          1
% 3.93/1.17  AC symbols                              0
% 3.93/1.17  
% 3.93/1.17  ------ Input Options Time Limit: Unbounded
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  ------ 
% 3.93/1.17  Current options:
% 3.93/1.17  ------ 
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  ------ Proving...
% 3.93/1.17  
% 3.93/1.17  
% 3.93/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.17  
% 3.93/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/1.17  
% 3.93/1.17  
%------------------------------------------------------------------------------