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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV901-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 04:47:50 PM UTC 2025

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)

% Comments : 
%------------------------------------------------------------------------------
cnf(665,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(cnf,[status(esa)],[cls_conjecture_0]) ).

cnf(l0,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(instantiation,[status(thm)],[665]) ).

cnf(559,plain,
    ( ~ c_Com_OWT(X0)
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ~ c_Com_OWT__bodies
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(cnf,[status(esa)],[cls_MGF_0]) ).

cnf(l1,plain,
    ( ~ c_Com_OWT(v_y)
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ~ c_Com_OWT__bodies
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(instantiation,[status(thm)],[559]) ).

cnf(666,plain,
    c_Com_OWT__bodies,
    inference(cnf,[status(esa)],[cls_conjecture_1]) ).

cnf(l16,plain,
    c_Com_OWT__bodies,
    inference(instantiation,[status(thm)],[666]) ).

cnf(555,plain,
    ( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
    | ~ c_Com_OWT__bodies
    | c_Com_OWT(X1) ),
    inference(cnf,[status(esa)],[cls_WT__bodiesD_0]) ).

cnf(l2,plain,
    ( hAPP(c_Com_Obody,v_pn) != c_Option_Ooption_OSome(v_y,tc_Com_Ocom)
    | ~ c_Com_OWT__bodies
    | c_Com_OWT(v_y) ),
    inference(instantiation,[status(thm)],[555]) ).

cnf(579,plain,
    ( ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2) ),
    inference(cnf,[status(esa)],[cls_thin_0]) ).

cnf(l4,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(instantiation,[status(thm)],[579]) ).

cnf(l10,plain,
    c_Com_OWT__bodies,
    inference(instantiation,[status(thm)],[666]) ).

cnf(672,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    inference(cnf,[status(esa)],[cls_conjecture_7]) ).

cnf(l7,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    inference(instantiation,[status(thm)],[672]) ).

cnf(625,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
    inference(cnf,[status(esa)],[cls_empty__subsetI_0]) ).

cnf(l11,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
    inference(instantiation,[status(thm)],[625]) ).

cnf(670,plain,
    hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
    inference(cnf,[status(esa)],[cls_conjecture_5]) ).

cnf(l6,plain,
    hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
    inference(instantiation,[status(thm)],[670]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l16,l2,l4,l10,l7,l11,l6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV901-1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n026.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 12:23:34 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  % launching worker at depth: 1
% 0.12/0.36  % launching worker at depth: 7
% 0.12/0.36  % launching worker at depth: 2
% 0.12/0.36  % launching worker at depth: 3
% 0.12/0.36  % launching worker at depth: 4
% 0.12/0.36  % launching worker at depth: 5
% 0.12/0.36  % launching worker at depth: 6
% 0.12/0.36  % launching worker at depth: 8
% 0.12/0.37  % launching worker at depth: 9
% 0.19/0.44  % SZS status Theorem for theBenchmark
% 0.19/0.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------