%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW385+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:46 PM UTC 2026
% Result : Theorem 1.38s 2.21s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 57 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 27 ~; 19 |; 4 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 32 ( 31 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [V_ca_2] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [V_pn] :
( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom)
=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f234,axiom,
! [V_m_2,T_b,V_a_2,T_a] :
( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))
<=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5240,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5241,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5243,conjecture,
! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5244,negated_conjecture,
~ ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(negated_conjecture,[status(cth)],[f5243]) ).
fof(f5250,plain,
! [V_ca_2] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,V_ca_2))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f5251,plain,
( ! [V_ca_2] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,V_ca_2)) )
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(miniscoping,[status(thm)],[f5250]) ).
fof(f5252,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf_transformation,[status(thm)],[f5251]) ).
fof(f5335,plain,
! [V_pn] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn)))
| hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f5336,plain,
! [X0] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(cnf_transformation,[status(thm)],[f5335]) ).
fof(f5901,plain,
! [V_m_2,T_b,V_a_2,T_a] :
( ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_b)
| hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))) )
& ( hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b)
| ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))) ) ),
inference(NNF_transformation,[status(thm)],[f234]) ).
fof(f5902,plain,
( ! [V_m_2,T_b,V_a_2] :
( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_b)
| ! [T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))) )
& ! [V_m_2,T_b,V_a_2] :
( hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b)
| ! [T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))) ) ),
inference(miniscoping,[status(thm)],[f5901]) ).
fof(f5903,plain,
! [X0,X1,X2,X3] :
( hAPP(X3,X1) != c_Option_Ooption_ONone(X2)
| ~ hBOOL(hAPP(hAPP(c_member(X0),X1),c_Map_Odom(X0,X2,X3))) ),
inference(cnf_transformation,[status(thm)],[f5902]) ).
fof(f19964,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[status(thm)],[f5240]) ).
fof(f19965,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[status(thm)],[f5241]) ).
fof(f19967,plain,
? [B_x] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(pre_NNF_transformation,[status(thm)],[f5244]) ).
fof(f19968,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK533_skl))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK533_skl),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK533_skl]),skolemize(B_x,sK533_skl)],[f19967]) ).
fof(f19969,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK533_skl),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
inference(cnf_transformation,[status(thm)],[f19968]) ).
fof(f19970,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK533_skl))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[status(thm)],[f19968]) ).
fof(f20759,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies ),
inference(forward_subsumption_resolution,[status(thm)],[f5252,f19964]) ).
fof(f20760,plain,
( ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK533_skl)))
| ~ c_Com_OWT__bodies ),
inference(resolution,[status(thm)],[f20759,f19970]) ).
fof(f20763,plain,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK533_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f20760,f19965]) ).
fof(f20778,plain,
hAPP(c_Com_Obody,sK533_skl) = c_Option_Ooption_ONone(tc_Com_Ocom),
inference(resolution,[status(thm)],[f5336,f20763]) ).
fof(f20813,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(c_member(X0),sK533_skl),c_Map_Odom(X0,tc_Com_Ocom,c_Com_Obody))),
inference(resolution,[status(thm)],[f5903,f20778]) ).
fof(f20819,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f19969,f20813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW385+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % Computer : n005.cluster.edu
% 0.17/0.48 % Model : x86_64 x86_64
% 0.17/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.48 % Memory : 8046.5625MB
% 0.17/0.48 % OS : Linux 6.8.0-71-generic
% 0.17/0.48 % CPULimit : 300
% 0.17/0.48 % WCLimit : 300
% 0.17/0.48 % DateTime : Mon Sep 21 09:50:34 UTC 2026
% 0.17/0.48 % CPUTime :
% 1.21/1.59 % Drodi V4.1.1
% 1.38/2.21 % Refutation found
% 1.38/2.21 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.38/2.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.52/2.37 % Elapsed time: 1.863545 seconds
% 1.52/2.37 % CPU time: 5.966927 seconds
% 1.52/2.37 % Total memory used: 689.124 MB
% 1.52/2.37 % Net memory used: 683.077 MB
%------------------------------------------------------------------------------