%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV834-1 : 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 : n023.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 04:47:44 PM UTC 2025
% Result : Unsatisfiable 122.31s 15.79s
% Output : CNFRefutation 122.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(610,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(instantiation,[status(thm)],[610]) ).
cnf(567,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__2(X4,X1,X5,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf,[status(esa)],[cls_conseq12_0]) ).
cnf(l1,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),v_c,X2_2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xconseq12__1(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X2_2)),v_sko__Hoare__Mirabelle__Xconseq12__2(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X2_2)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(instantiation,[status(thm)],[567]) ).
cnf(573,plain,
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xescape__1(X1,X0,X2,X3)),v_sko__Hoare__Mirabelle__Xescape__2(X1,X0,X2,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X3,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf,[status(esa)],[cls_escape_0]) ).
cnf(l2,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),v_sko__Hoare__Mirabelle__Xescape__1(v_G,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),X2_2,v_c)),v_sko__Hoare__Mirabelle__Xescape__2(v_G,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),X2_2,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),v_c,X2_2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(instantiation,[status(thm)],[573]) ).
cnf(320,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
| hBOOL(hAPP(X1,X3)) ),
inference(cnf,[status(esa)],[cls_inf1E_0]) ).
cnf(l3,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),v_sko__Hoare__Mirabelle__Xescape__1(v_G,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),X2_2,v_c)),v_sko__Hoare__Mirabelle__Xescape__2(v_G,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),X2_2,v_c)))
| hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool)),v_sko__Hoare__Mirabelle__Xescape__2(v_G,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),X2_2,v_c))) ),
inference(instantiation,[status(thm)],[320]) ).
cnf(597,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
inference(cnf,[status(esa)],[cls_bot1E_0]) ).
cnf(l12,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool)),v_sko__Hoare__Mirabelle__Xescape__2(v_G,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),X2_2,v_c))),
inference(instantiation,[status(thm)],[597]) ).
cnf(605,plain,
hAPP(c_COMBK(X0,X1,X2),X3) = X0,
inference(cnf,[status(esa)],[cls_COMBK__def_0]) ).
cnf(l17,plain,
hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xconseq12__1(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X2_2)) = c_COMBK(c_False,tc_bool,tc_Com_Ostate),
inference(instantiation,[status(thm)],[605]) ).
cnf(350,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Collect(X1,X0)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(cnf,[status(esa)],[cls_empty__Collect__eq_0]) ).
cnf(l6,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)) != c_Collect(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_Com_Ostate)
| ~ hBOOL(hAPP(c_COMBK(c_False,tc_bool,tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xconseq12__2(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0_3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0_12,tc_bool))),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X2_2))) ),
inference(instantiation,[status(thm)],[350]) ).
cnf(580,plain,
c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X0),X0),
inference(cnf,[status(esa)],[cls_empty__def_0]) ).
cnf(l54,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_Com_Ostate),
inference(instantiation,[status(thm)],[580]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l12,l17,l6,l54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV834-1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 12:12:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % launching worker at depth: 1
% 0.12/0.36 % launching worker at depth: 2
% 0.12/0.36 % launching worker at depth: 5
% 0.12/0.36 % launching worker at depth: 7
% 0.12/0.36 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 4
% 0.12/0.36 % launching worker at depth: 6
% 0.12/0.36 % launching worker at depth: 3
% 0.12/0.37 % launching worker at depth: 9
% 0.18/0.40 % launching worker at depth: 10
% 16.54/2.49 % launching worker at depth: 11
% 122.31/15.79 % SZS status Theorem for theBenchmark
% 122.31/15.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------