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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV239-1 : TPTP v9.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n028.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 Jul 25 04:46:21 PM UTC 2025

% Result   : Unsatisfiable 4.90s 1.01s
% Output   : CNFRefutation 4.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)

% Comments : 
%------------------------------------------------------------------------------
cnf(1399,plain,
    ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(cnf,[status(esa)],[cls_conjecture_0]) ).

cnf(l0,plain,
    ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(instantiation,[status(thm)],[1399]) ).

cnf(1397,plain,
    ( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(cnf,[status(esa)],[cls_Message_Oanalz__subset__cong_0]) ).

cnf(l1,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(instantiation,[status(thm)],[1397]) ).

cnf(109,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf,[status(esa)],[cls_Set_OsubsetI_1]) ).

cnf(l6,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg)
    | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)) ),
    inference(instantiation,[status(thm)],[109]) ).

cnf(1226,plain,
    c_append(c_List_Olist_ONil,X0,X1) = X0,
    inference(cnf,[status(esa)],[cls_List_Oappend__self__conv2__iff2_0]) ).

cnf(l18,plain,
    c_append(c_List_Olist_ONil,tc_set(tc_Message_Omsg),X1_25) = tc_set(tc_Message_Omsg),
    inference(instantiation,[status(thm)],[1226]) ).

cnf(l7,plain,
    c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7) = c_Message_Oanalz(v_H),
    inference(instantiation,[status(thm)],[1226]) ).

cnf(l3,plain,
    c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7) = c_Message_Oanalz(v_H),
    inference(instantiation,[status(thm)],[1226]) ).

cnf(1377,plain,
    ( ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)
    | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(cnf,[status(esa)],[cls_Message_Oanalz__analzD__dest_0]) ).

cnf(l8,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg)
    | c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[1377]) ).

cnf(108,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf,[status(esa)],[cls_Set_OsubsetI_0]) ).

cnf(l10,plain,
    ( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg)
    | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)) ),
    inference(instantiation,[status(thm)],[108]) ).

cnf(1248,plain,
    X0 = c_append(c_List_Olist_ONil,X0,X1),
    inference(cnf,[status(esa)],[cls_List_Oself__append__conv2__iff2_0]) ).

cnf(l25,plain,
    tc_set(tc_Message_Omsg) = c_append(c_List_Olist_ONil,tc_set(tc_Message_Omsg),X1_25),
    inference(instantiation,[status(thm)],[1248]) ).

cnf(111,plain,
    c_lessequals(X0,X0,tc_set(X1)),
    inference(cnf,[status(esa)],[cls_Set_Osubset__refl_0]) ).

cnf(l24,plain,
    c_lessequals(c_append(c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7),c_List_Olist_ONil,X1_22),c_append(c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7),c_List_Olist_ONil,X1_22),tc_set(tc_Message_Omsg)),
    inference(instantiation,[status(thm)],[111]) ).

cnf(1228,plain,
    c_append(X0,c_List_Olist_ONil,X1) = X0,
    inference(cnf,[status(esa)],[cls_List_Oappend__self__conv__iff2_0]) ).

cnf(l21,plain,
    c_append(c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7),c_List_Olist_ONil,X1_22) = c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7),
    inference(instantiation,[status(thm)],[1228]) ).

cnf(l22,plain,
    c_append(c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7),c_List_Olist_ONil,X1_22) = c_append(c_List_Olist_ONil,c_Message_Oanalz(v_H),X1_7),
    inference(instantiation,[status(thm)],[1228]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l6,l18,l7,l3,l8,l10,l25,l24,l21,l22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV239-1 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 22 08:30:49 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  % launching worker at depth: 1
% 0.18/0.36  % launching worker at depth: 3
% 0.18/0.36  % launching worker at depth: 5
% 0.18/0.36  % launching worker at depth: 4
% 0.18/0.36  % launching worker at depth: 2
% 0.18/0.36  % launching worker at depth: 6
% 0.18/0.36  % launching worker at depth: 7
% 0.18/0.36  % launching worker at depth: 8
% 0.18/0.36  % launching worker at depth: 9
% 0.18/0.39  % launching worker at depth: 10
% 4.90/1.01  % SZS status Theorem for theBenchmark
% 4.90/1.01  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------