TSTP Solution File: SWV733-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV733-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 : 600s
% DateTime : Wed Jul 20 21:35:50 EDT 2022
% Result : Unsatisfiable 224.70s 224.97s
% Output : Refutation 224.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 42
% Syntax : Number of clauses : 117 ( 105 unt; 0 nHn; 14 RR)
% Number of literals : 134 ( 97 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 379 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Int__left__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X,c_Lattices_Olower__semilattice__class_Oinf(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(Y,c_Lattices_Olower__semilattice__class_Oinf(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X,c_Lattices_Oupper__semilattice__class_Osup(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool))
| ~ c_lessequals(U,X,tc_fun(Z,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
cnf(cls_set__empty_1,axiom,
c_List_Oset(c_List_Olist_ONil(X),X) = c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_1) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_Int__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(Y,X,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),X,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).
cnf(cls_Un__Diff__cancel_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).
cnf(cls_Diff__Int__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(U,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,U,tc_fun(Z,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)) = Y
| ~ c_lessequals(X,Y,tc_fun(Z,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),X,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,c_Lattices_Olower__semilattice__class_Oinf(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(U,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
cnf(cls_Un__Int__distrib2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_Int__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X,X,tc_fun(Y,tc_bool)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X,X,tc_fun(Y,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_Diff__Un_0,axiom,
c_HOL_Ominus__class_Ominus(X,c_Lattices_Oupper__semilattice__class_Osup(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
cnf(173,plain,
c_HOL_Ominus__class_Ominus(X,c_Lattices_Oupper__semilattice__class_Osup(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),X,tc_fun(U,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Diff__Un_0,cls_Diff__Int__distrib_0,theory(equality)]) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X,c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
cnf(175,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Int__Diff_0,cls_Diff__Int__distrib_0,theory(equality)]) ).
cnf(cls_Diff__Int_0,axiom,
c_HOL_Ominus__class_Ominus(X,c_Lattices_Olower__semilattice__class_Oinf(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
c_List_Oset(c_List_Olist_OCons(X,Y,Z),Z) = c_Set_Oinsert(X,c_List_Oset(Y,Z),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_Un__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff_0) ).
cnf(cls_Diff__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X,c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
cnf(189,plain,
c_Lattices_Olower__semilattice__class_Oinf(X,c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_List_Oset(c_List_Olist_ONil(Z),Z),
inference('REWRITE',[status(thm)],[cls_Diff__disjoint_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(X,X,tc_fun(Y,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(220,plain,
c_HOL_Ominus__class_Ominus(X,X,tc_fun(Y,tc_bool)) = c_List_Oset(c_List_Olist_ONil(Y),Y),
inference('REWRITE',[status(thm)],[cls_Diff__cancel_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
cnf(222,plain,
c_HOL_Ominus__class_Ominus(X,c_List_Oset(c_List_Olist_ONil(Y),Y),tc_fun(Y,tc_bool)) = X,
inference('REWRITE',[status(thm)],[cls_Diff__empty_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(228,plain,
c_lessequals(c_List_Oset(c_List_Olist_ONil(X),X),Y,tc_fun(X,tc_bool)),
inference('REWRITE',[status(thm)],[cls_empty__subsetI_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X,c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_double__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = Z
| ~ c_lessequals(X,Y,tc_fun(U,tc_bool))
| ~ c_lessequals(Z,X,tc_fun(U,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__diff_0) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X,Y,Z),U,tc_fun(Z,tc_bool))
| ~ c_lessequals(Y,U,tc_fun(Z,tc_bool))
| ~ c_in(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(X,c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).
cnf(337,plain,
c_HOL_Ominus__class_Ominus(X,c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_List_Oset(c_List_Olist_ONil(Y),Y),
inference('REWRITE',[status(thm)],[cls_Diff__UNIV_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_parts__trans_0,axiom,
( c_in(X,c_Message_Oparts(Y),tc_Message_Omsg)
| ~ c_lessequals(Z,c_Message_Oparts(Y),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X,c_Message_Oparts(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__trans_0) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Z,tc_bool)),Z),Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(455,plain,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_OCons(X,c_List_Olist_ONil(Z),Z),Z),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_insert__is__Un_0,cls_List_Oset_Osimps_I2_J_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_Un__UNIV__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(530,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_ONil(X),X),Y,tc_fun(X,tc_bool)) = Y,
inference('REWRITE',[status(thm)],[cls_Un__empty__left_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(532,plain,
c_Lattices_Oupper__semilattice__class_Osup(X,c_List_Oset(c_List_Olist_ONil(Y),Y),tc_fun(Y,tc_bool)) = X,
inference('REWRITE',[status(thm)],[cls_Un__empty__right_0,cls_set__empty_1,theory(equality)]) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,X,tc_fun(Y,tc_bool)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_parts_OBody_0,axiom,
( c_in(X,c_Message_Oparts(Y),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(Z,X),c_Message_Oparts(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(704,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(v_X,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[cls_conjecture_3,532,455,cls_set__empty_1,theory(equality)]) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(754,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_OCons(X,c_List_Olist_ONil(Y),Y),Y),Z,tc_fun(Y,tc_bool)),U,tc_fun(Y,tc_bool))
| ~ c_lessequals(Z,U,tc_fun(Y,tc_bool))
| ~ c_in(X,U,Y) ),
inference('REWRITE',[status(thm)],[cls_insert__subset_2,455,theory(equality)]) ).
cnf(789,plain,
c_HOL_Ominus__class_Ominus(X,c_Lattices_Oupper__semilattice__class_Osup(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),X,tc_fun(U,tc_bool)),Z,tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[173,175,theory(equality)]) ).
cnf(790,plain,
c_Lattices_Olower__semilattice__class_Oinf(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(U,tc_bool)),Z,tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Diff__Int__distrib_0,175,theory(equality)]) ).
cnf(791,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),X,tc_fun(Z,tc_bool)) = c_List_Oset(c_List_Olist_ONil(Z),Z),
inference('REWRITE',[status(thm)],[189,790,theory(equality)]) ).
cnf(792,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X,c_Lattices_Oupper__semilattice__class_Osup(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool))
| ~ c_lessequals(Y,X,tc_fun(Z,tc_bool)) ),
inference('REWRITE',[status(thm)],[cls_Un__Int__assoc__eq_1,cls_Un__Int__distrib2_0,theory(equality)]) ).
cnf(798,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,U,tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Diff__Int__distrib2_0,cls_Diff__Int2_0,theory(equality)]) ).
cnf(799,plain,
c_HOL_Ominus__class_Ominus(X,c_Lattices_Oupper__semilattice__class_Osup(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),Z,tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[789,cls_Int__absorb_0,798,theory(equality)]) ).
cnf(1677,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_parts_OBody_0,cls_conjecture_2]) ).
cnf(2047,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),X,tc_fun(Z,tc_bool)) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_Un__absorb1_0,cls_Diff__subset_0]) ).
cnf(2281,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)) = c_List_Oset(c_List_Olist_ONil(Z),Z),
inference('PARAMODULATE',[status(thm)],[791,cls_Int__commute_0,theory(equality)]) ).
cnf(2816,plain,
~ c_lessequals(c_List_Oset(c_List_Olist_OCons(v_X,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference('UR-RESOLVE',[status(thm)],[cls_parts__trans_0,cls_conjecture_4,704]) ).
cnf(3957,plain,
c_HOL_Ominus__class_Ominus(X,c_Lattices_Oupper__semilattice__class_Osup(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),Z,tc_fun(U,tc_bool)),
inference('PARAMODULATE',[status(thm)],[799,cls_Un__Diff__cancel2_0,theory(equality)]) ).
cnf(4569,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(U,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Un__commute_0,cls_Un__Int__distrib_0,theory(equality)]),cls_Un__Int__distrib2_0,theory(equality)]) ).
cnf(4587,plain,
c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(Y,Z,tc_fun(U,tc_bool)),V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(U,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(Z,V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('PARAMODULATE',[status(thm)],[cls_Un__Int__distrib_0,790,theory(equality)]) ).
cnf(4632,plain,
c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('PARAMODULATE',[status(thm)],[175,cls_Int__absorb_0,theory(equality)]) ).
cnf(4642,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(U,V,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X,U,tc_fun(Z,tc_bool)),V,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('PARAMODULATE',[status(thm)],[175,790,theory(equality)]) ).
cnf(4662,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_Lattices_Olower__semilattice__class_Oinf(Z,U,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),tc_fun(V,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),c_HOL_Ominus__class_Ominus(Y,U,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),
inference('PARAMODULATE',[status(thm)],[799,cls_Diff__Int_0,theory(equality)]) ).
cnf(4679,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),X,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Un__Diff_0,220,theory(equality)]),530,theory(equality)]) ).
cnf(5026,plain,
c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)),tc_fun(X,tc_bool)) = Y,
inference('HYPERRESOLVE',[status(thm)],[cls_double__diff_0,cls_equalityE_0,cls_subset__UNIV_0]) ).
cnf(5056,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),
inference('HYPERRESOLVE',[status(thm)],[cls_double__diff_0,cls_equalityE_0,cls_Diff__subset_0]) ).
cnf(5057,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X,Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_double__diff_0,cls_equalityE_0,cls_Int__lower1_0]),4632,theory(equality)]) ).
cnf(5219,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(U,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[4569,5057,theory(equality)]) ).
cnf(5300,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Z,c_HOL_Ominus__class_Ominus(Z,U,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),tc_fun(V,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),c_HOL_Ominus__class_Ominus(Y,U,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),
inference('REWRITE',[status(thm)],[4662,5057,theory(equality)]) ).
cnf(5738,plain,
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,c_Lattices_Oupper__semilattice__class_Osup(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool))
| ~ c_lessequals(Y,X,tc_fun(Z,tc_bool)) ),
inference('REWRITE',[status(thm)],[792,5057,theory(equality)]) ).
cnf(5745,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),Z,tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[790,5057,theory(equality)]) ).
cnf(5764,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[798,5057,theory(equality)]) ).
cnf(5798,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(U,c_HOL_Ominus__class_Ominus(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Diff__Int2_0,5057,theory(equality)]) ).
cnf(5799,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Int__lower2_0,5057,theory(equality)]) ).
cnf(5800,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Un__Int__distrib2_0,5057,theory(equality)]) ).
cnf(5802,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[175,5057,theory(equality)]) ).
cnf(5807,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)) = c_List_Oset(c_List_Olist_ONil(Z),Z),
inference('REWRITE',[status(thm)],[2281,5057,theory(equality)]) ).
cnf(5899,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(U,V,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),V,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[4642,5057,theory(equality)]) ).
cnf(5912,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Int__left__commute_0,5057,theory(equality)]) ).
cnf(5916,plain,
c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(U,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Un__Int__distrib_0,5057,theory(equality)]) ).
cnf(5917,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[cls_Diff__Int_0,5057,theory(equality)]) ).
cnf(5975,plain,
c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(U,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(Z,V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[4587,5057,theory(equality)]) ).
cnf(6011,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),c_HOL_Ominus__class_Ominus(X,Z,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_HOL_Ominus__class_Ominus(X,Z,tc_fun(Y,tc_bool)),
inference('HYPERRESOLVE',[status(thm)],[cls_double__diff_0,cls_subset__UNIV_0,cls_Diff__subset_0]) ).
cnf(6031,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),
inference('HYPERRESOLVE',[status(thm)],[cls_double__diff_0,cls_Diff__subset_0,cls_Diff__subset_0]) ).
cnf(6046,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),Z,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),X,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_HOL_Ominus__class_Ominus(Z,c_HOL_Ominus__class_Ominus(Z,X,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_double__diff_0,5799,cls_subset__UNIV_0]),5300,theory(equality)]) ).
cnf(7449,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[799,5745,theory(equality)]),3957,theory(equality)]) ).
cnf(7460,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5745,5745,theory(equality)]),222,220,theory(equality)]) ).
cnf(7688,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5745,5764,theory(equality)]),222,220,theory(equality)]) ).
cnf(9270,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5798,cls_Diff__idemp_0,theory(equality)]),222,220,theory(equality)]) ).
cnf(9290,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),V,tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,V,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,V,tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5800,5745,theory(equality)]),3957,7460,theory(equality)]) ).
cnf(9313,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Un__Diff__cancel_0,5802,theory(equality)]),7460,5802,5916,7688,5056,9270,5899,222,5807,3957,cls_Un__absorb_0,5975,9290,theory(equality)]) ).
cnf(9316,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),V,tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,V,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5802,5745,theory(equality)]),7460,theory(equality)]) ).
cnf(9317,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[9313,9316,theory(equality)]) ).
cnf(9557,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5917,5916,theory(equality)]),5056,7449,3957,2047,theory(equality)]) ).
cnf(9561,plain,
c_Lattices_Oupper__semilattice__class_Osup(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Z,U,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),tc_fun(V,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(V,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,X,tc_fun(V,tc_bool)),c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Z,U,tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),tc_fun(V,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5916,5745,theory(equality)]),4679,9317,3957,7460,theory(equality)]) ).
cnf(9600,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[5916,9561,theory(equality)]) ).
cnf(9827,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(X,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,Z,tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),tc_fun(U,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5745,5912,theory(equality)]),222,220,9557,theory(equality)]) ).
cnf(9829,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[6031,9827,theory(equality)]) ).
cnf(9833,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[9600,9829,theory(equality)]) ).
cnf(9888,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(U,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[5219,9833,theory(equality)]) ).
cnf(9924,plain,
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(Y,c_HOL_Ominus__class_Ominus(Y,c_Lattices_Oupper__semilattice__class_Osup(U,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool))
| ~ c_lessequals(X,Y,tc_fun(Z,tc_bool)) ),
inference('REWRITE',[status(thm)],[5738,9888,theory(equality)]) ).
cnf(10002,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(U,c_HOL_Ominus__class_Ominus(U,c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5912,5798,theory(equality)]),222,5807,5899,theory(equality)]) ).
cnf(10041,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(Y,U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(U,c_HOL_Ominus__class_Ominus(U,Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[5912,10002,theory(equality)]) ).
cnf(10084,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),Z,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_HOL_Ominus__class_Ominus(Z,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),X,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10041,337,theory(equality)]),337,222,theory(equality)]) ).
cnf(10086,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Z,tc_bool)),X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(X,Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[6011,10084,theory(equality)]) ).
cnf(10087,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Y,tc_bool)),Z,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = c_HOL_Ominus__class_Ominus(Z,c_HOL_Ominus__class_Ominus(Z,X,tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)),
inference('REWRITE',[status(thm)],[6046,10086,theory(equality)]) ).
cnf(10121,plain,
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X,Y,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(Y,X,tc_fun(Z,tc_bool)),U,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(U,X,tc_fun(Z,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(Z,tc_bool)),Y,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool))
| ~ c_lessequals(X,Y,tc_fun(Z,tc_bool)) ),
inference('REWRITE',[status(thm)],[9924,10087,theory(equality)]) ).
cnf(13034,plain,
c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)),Z,tc_fun(X,tc_bool)),tc_fun(X,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(Z,Y,tc_fun(X,tc_bool)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10121,cls_subset__UNIV_0]),222,337,cls_Un__UNIV__right_0,theory(equality)]) ).
cnf(16490,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X,tc_bool)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)),c_List_Oset(c_List_Olist_OCons(Z,c_List_Olist_ONil(X),X),X),tc_fun(X,tc_bool)),tc_fun(X,tc_bool)),U,tc_fun(X,tc_bool))
| ~ c_lessequals(Y,U,tc_fun(X,tc_bool))
| ~ c_in(Z,U,X) ),
inference('REWRITE',[status(thm)],[754,13034,theory(equality)]) ).
cnf(30375,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16490,1677,228]),2816,5026,222,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : SWV733-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 15 11:27:43 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 *
% 0.14/0.38 *
% 0.14/0.38 #<PACKAGE "SNARK-USER">
% 0.14/0.38 *
% 0.14/0.38 SNARK-TPTP-OPTIONS
% 0.14/0.38 *
% 0.14/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38 (USE-FACTORING :POS)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38 *
% 0.14/0.38 "."
% 0.14/0.38 *
% 0.14/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T11:27:44
% 0.14/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-15T11:27:44
% 0.14/0.51 WARNING:
% 0.14/0.51 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.51 WARNING:
% 0.14/0.51 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 224.70/224.97
% 224.70/224.97
% 224.70/224.97 #||
% 224.70/224.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 224.70/224.97 % SZS output start Refutation
% See solution above
% 224.82/225.05 ||#
% 224.82/225.05
% 224.82/225.05 ; Summary of computation:
% 224.82/225.05 ; 64264 formulas have been input or derived (from 859 formulas).
% 224.82/225.05 ; 30375 (47%) were retained. Of these,
% 224.82/225.05 ; 10217 (34%) were simplified or subsumed later,
% 224.82/225.05 ; 20158 (66%) are still being kept.
% 224.82/225.05 ;
% 224.82/225.05 ; Run time in seconds excluding printing time:
% 224.82/225.05 ; 0.103 0% Read assertion file (1 call)
% 224.82/225.05 ; 0.013 0% Assert (748 calls)
% 224.82/225.05 ; 10.328 5% Process new row (61,479 calls)
% 224.82/225.05 ; 4.000 2% Resolution (1,716 calls)
% 224.82/225.05 ; 0.586 0% Paramodulation (858 calls)
% 224.82/225.05 ; 0.000 0% Factoring (18 calls)
% 224.82/225.05 ; 0.744 0% Condensing (22,659 calls)
% 224.82/225.05 ; 118.396 53% Forward subsumption (22,659 calls)
% 224.82/225.05 ; 8.055 4% Backward subsumption (15,524 calls)
% 224.82/225.05 ; 2.844 1% Clause clause subsumption (409,770 calls)
% 224.82/225.05 ; 26.479 12% Forward simplification (60,008 calls)
% 224.82/225.05 ; 4.888 2% Backward simplification (30,269 calls)
% 224.82/225.05 ; 47.765 21% Ordering (1,471,423 calls)
% 224.82/225.05 ; 0.000 0% Sortal reasoning (32 calls)
% 224.82/225.05 ; 0.001 0% Purity testing (1 call)
% 224.82/225.05 ; 0.368 0% Other
% 224.82/225.05 ; 224.570 Total
% 224.82/225.05 ; 224.670 Real time
% 224.82/225.06 ;
% 224.82/225.09 ; Term-hash-array has 79,998 terms in all.
% 224.82/225.09 ; Feature-vector-row-index has 10,675 entries (10,675 at peak, 15,524 added, 4,849 deleted).
% 224.82/225.09 ; Feature-vector-row-index has 347,651 nodes (347,651 at peak, 480,513 added, 132,862 deleted).
% 224.82/225.09 ; Retrieved 492,577 possibly forward subsuming rows in 22,659 calls.
% 224.82/225.09 ; Retrieved 94,887 possibly backward subsumed rows in 15,524 calls.
% 224.82/225.09 ; Path-index has 57,547 entries (57,547 at peak, 85,041 added, 27,494 deleted).
% 224.82/225.09 ; Path-index has 161,548 nodes (161,548 at peak, 196,166 added, 34,618 deleted).
% 224.82/225.09 ; Trie-index has 57,547 entries (57,547 at peak, 85,041 added, 27,494 deleted).
% 224.82/225.09 ; Trie-index has 684,193 nodes (684,193 at peak, 1,033,391 added, 349,198 deleted).
% 224.82/225.09 ; Retrieved 2,544,033 generalization terms in 869,694 calls.
% 224.82/225.09 ; Retrieved 193,466 instance terms in 17,371 calls.
% 224.82/225.09 ; Retrieved 3,601,970 unifiable terms in 27,392 calls.
% 224.82/225.09 ;
% 224.82/225.09 ; The agenda of rows to process has 34 entries:
% 224.82/225.09 ; 3 with value 47 2 with value 67 1 with value 98
% 224.82/225.09 ; 1 with value 50 1 with value 68 1 with value 101
% 224.82/225.09 ; 1 with value 51 1 with value 69 1 with value 105
% 224.82/225.09 ; 1 with value 52 2 with value 70 1 with value 115
% 224.82/225.09 ; 1 with value 53 1 with value 71 1 with value 117
% 224.82/225.09 ; 1 with value 54 1 with value 82 1 with value 139
% 224.82/225.09 ; 4 with value 55 1 with value 86 1 with value 167
% 224.82/225.09 ; 1 with value 59 1 with value 90 1 with value 171
% 224.82/225.09 ; 1 with value 61 2 with value 93
% 224.82/225.09 ; The agenda of rows to give has 19497 entries:
% 224.82/225.09 ; 1 with value (4 9) 59 with value (4 135) 21 with value (4 260)
% 224.82/225.09 ; 27 with value (4 11) 65 with value (4 136) 10 with value (4 261)
% 224.82/225.09 ; 143 with value (4 12) 68 with value (4 137) 17 with value (4 262)
% 224.82/225.09 ; 164 with value (4 13) 50 with value (4 138) 16 with value (4 263)
% 224.82/225.09 ; 344 with value (4 14) 55 with value (4 139) 15 with value (4 264)
% 224.82/225.09 ; 225 with value (4 15) 53 with value (4 140) 12 with value (4 265)
% 224.82/225.09 ; 360 with value (4 16) 57 with value (4 141) 11 with value (4 266)
% 224.82/225.09 ; 293 with value (4 17) 38 with value (4 142) 10 with value (4 267)
% 224.82/225.09 ; 222 with value (4 18) 53 with value (4 143) 12 with value (4 268)
% 224.82/225.09 ; 212 with value (4 19) 65 with value (4 144) 14 with value (4 269)
% 224.82/225.09 ; 194 with value (4 20) 60 with value (4 145) 13 with value (4 270)
% 224.82/225.09 ; 181 with value (4 21) 44 with value (4 146) 9 with value (4 271)
% 224.82/225.09 ; 160 with value (4 22) 43 with value (4 147) 8 with value (4 272)
% 224.82/225.09 ; 159 with value (4 23) 53 with value (4 148) 6 with value (4 273)
% 224.82/225.09 ; 121 with value (4 24) 49 with value (4 149) 8 with value (4 274)
% 224.82/225.09 ; 152 with value (4 25) 53 with value (4 150) 11 with value (4 275)
% 224.82/225.09 ; 103 with value (4 26) 75 with value (4 151) 4 with value (4 276)
% 224.82/225.09 ; 93 with value (4 27) 62 with value (4 152) 8 with value (4 277)
% 224.82/225.09 ; 102 with value (4 28) 56 with value (4 153) 7 with value (4 278)
% 224.82/225.09 ; 93 with value (4 29) 57 with value (4 154) 15 with value (4 279)
% 224.82/225.09 ; 91 with value (4 30) 52 with value (4 155) 4 with value (4 280)
% 224.82/225.09 ; 75 with value (4 31) 55 with value (4 156) 15 with value (4 281)
% 224.82/225.09 ; 81 with value (4 32) 62 with value (4 157) 7 with value (4 282)
% 224.82/225.09 ; 91 with value (4 33) 66 with value (4 158) 11 with value (4 283)
% 224.82/225.09 ; 110 with value (4 34) 46 with value (4 159) 14 with value (4 284)
% 224.82/225.09 ; 128 with value (4 35) 47 with value (4 160) 5 with value (4 285)
% 224.82/225.09 ; 154 with value (4 36) 53 with value (4 161) 4 with value (4 286)
% 224.82/225.09 ; 110 with value (4 37) 73 with value (4 162) 7 with value (4 287)
% 224.82/225.09 ; 79 with value (4 38) 82 with value (4 163) 6 with value (4 288)
% 224.82/225.09 ; 89 with value (4 39) 69 with value (4 164) 7 with value (4 289)
% 224.82/225.09 ; 108 with value (4 40) 67 with value (4 165) 3 with value (4 290)
% 224.82/225.09 ; 101 with value (4 41) 54 with value (4 166) 8 with value (4 291)
% 224.82/225.09 ; 116 with value (4 42) 52 with value (4 167) 8 with value (4 292)
% 224.82/225.09 ; 133 with value (4 43) 64 with value (4 168) 6 with value (4 293)
% 224.82/225.09 ; 140 with value (4 44) 61 with value (4 169) 13 with value (4 294)
% 224.82/225.09 ; 174 with value (4 45) 46 with value (4 170) 7 with value (4 295)
% 224.82/225.09 ; 151 with value (4 46) 44 with value (4 171) 9 with value (4 296)
% 224.82/225.09 ; 151 with value (4 47) 35 with value (4 172) 7 with value (4 297)
% 224.82/225.09 ; 117 with value (4 48) 44 with value (4 173) 6 with value (4 298)
% 224.82/225.09 ; 103 with value (4 49) 49 with value (4 174) 6 with value (4 299)
% 224.82/225.09 ; 115 with value (4 50) 35 with value (4 175) 8 with value (4 300)
% 224.82/225.09 ; 91 with value (4 51) 42 with value (4 176) 5 with value (4 301)
% 224.82/225.09 ; 87 with value (4 52) 42 with value (4 177) 16 with value (4 302)
% 224.82/225.09 ; 87 with value (4 53) 48 with value (4 178) 3 with value (4 303)
% 224.82/225.09 ; 105 with value (4 54) 35 with value (4 179) 2 with value (4 304)
% 224.82/225.09 ; 99 with value (4 55) 46 with value (4 180) 9 with value (4 305)
% 224.82/225.09 ; 91 with value (4 56) 35 with value (4 181) 8 with value (4 306)
% 224.82/225.09 ; 95 with value (4 57) 46 with value (4 182) 8 with value (4 307)
% 224.82/225.09 ; 96 with value (4 58) 29 with value (4 183) 9 with value (4 308)
% 224.82/225.09 ; 99 with value (4 59) 27 with value (4 184) 6 with value (4 309)
% 224.82/225.09 ; 95 with value (4 60) 36 with value (4 185) 7 with value (4 310)
% 224.82/225.09 ; 90 with value (4 61) 51 with value (4 186) 3 with value (4 311)
% 224.82/225.09 ; 101 with value (4 62) 43 with value (4 187) 8 with value (4 312)
% 224.82/225.09 ; 111 with value (4 63) 60 with value (4 188) 3 with value (4 314)
% 224.82/225.09 ; 82 with value (4 64) 56 with value (4 189) 2 with value (4 315)
% 224.82/225.09 ; 72 with value (4 65) 46 with value (4 190) 2 with value (4 316)
% 224.82/225.09 ; 98 with value (4 66) 43 with value (4 191) 3 with value (4 317)
% 224.82/225.09 ; 84 with value (4 67) 52 with value (4 192) 2 with value (4 318)
% 224.82/225.09 ; 93 with value (4 68) 63 with value (4 193) 1 with value (4 319)
% 224.82/225.09 ; 69 with value (4 69) 52 with value (4 194) 2 with value (4 321)
% 224.82/225.09 ; 94 with value (4 70) 45 with value (4 195) 5 with value (4 322)
% 224.82/225.09 ; 78 with value (4 71) 40 with value (4 196) 4 with value (4 323)
% 224.82/225.09 ; 74 with value (4 72) 45 with value (4 197) 1 with value (4 324)
% 224.82/225.09 ; 92 with value (4 73) 64 with value (4 198) 4 with value (4 325)
% 224.82/225.09 ; 90 with value (4 74) 42 with value (4 199) 3 with value (4 326)
% 224.82/225.09 ; 68 with value (4 75) 32 with value (4 200) 3 with value (4 327)
% 224.82/225.09 ; 93 with value (4 76) 26 with value (4 201) 4 with value (4 328)
% 224.82/225.09 ; 86 with value (4 77) 29 with value (4 202) 9 with value (4 329)
% 224.82/225.09 ; 82 with value (4 78) 23 with value (4 203) 3 with value (4 330)
% 224.82/225.09 ; 70 with value (4 79) 36 with value (4 204) 1 with value (4 331)
% 224.82/225.09 ; 128 with value (4 80) 35 with value (4 205) 3 with value (4 332)
% 224.82/225.09 ; 311 with value (4 81) 27 with value (4 206) 2 with value (4 333)
% 224.82/225.09 ; 338 with value (4 82) 23 with value (4 207) 2 with value (4 334)
% 224.82/225.09 ; 409 with value (4 83) 26 with value (4 208) 1 with value (4 335)
% 224.82/225.09 ; 640 with value (4 84) 22 with value (4 209) 1 with value (4 336)
% 224.82/225.09 ; 444 with value (4 85) 30 with value (4 210) 1 with value (4 337)
% 224.82/225.09 ; 106 with value (4 86) 24 with value (4 211) 2 with value (4 338)
% 224.82/225.09 ; 148 with value (4 87) 24 with value (4 212) 5 with value (4 339)
% 224.82/225.09 ; 165 with value (4 88) 24 with value (4 213) 1 with value (4 340)
% 224.82/225.09 ; 114 with value (4 89) 31 with value (4 214) 2 with value (4 342)
% 224.82/225.09 ; 82 with value (4 90) 36 with value (4 215) 6 with value (4 345)
% 224.82/225.09 ; 79 with value (4 91) 40 with value (4 216) 2 with value (4 347)
% 224.82/225.09 ; 83 with value (4 92) 36 with value (4 217) 1 with value (4 348)
% 224.82/225.09 ; 65 with value (4 93) 31 with value (4 218) 1 with value (4 351)
% 224.82/225.09 ; 57 with value (4 94) 42 with value (4 219) 2 with value (4 352)
% 224.82/225.09 ; 70 with value (4 95) 38 with value (4 220) 1 with value (4 353)
% 224.82/225.09 ; 67 with value (4 96) 24 with value (4 221) 2 with value (4 354)
% 224.82/225.09 ; 90 with value (4 97) 62 with value (4 222) 6 with value (4 356)
% 224.82/225.09 ; 74 with value (4 98) 34 with value (4 223) 3 with value (4 360)
% 224.82/225.09 ; 62 with value (4 99) 45 with value (4 224) 1 with value (4 363)
% 224.82/225.09 ; 56 with value (4 100) 19 with value (4 225) 3 with value (4 364)
% 224.82/225.09 ; 83 with value (4 101) 39 with value (4 226) 1 with value (4 365)
% 224.82/225.09 ; 66 with value (4 102) 28 with value (4 227) 1 with value (4 366)
% 224.82/225.09 ; 60 with value (4 103) 26 with value (4 228) 1 with value (4 368)
% 224.82/225.09 ; 68 with value (4 104) 29 with value (4 229) 4 with value (4 369)
% 224.82/225.09 ; 65 with value (4 105) 23 with value (4 230) 1 with value (4 384)
% 224.82/225.09 ; 54 with value (4 106) 19 with value (4 231) 1 with value (4 393)
% 224.82/225.09 ; 65 with value (4 107) 17 with value (4 232) 1 with value (4 397)
% 224.82/225.09 ; 87 with value (4 108) 20 with value (4 233) 1 with value (4 399)
% 224.82/225.09 ; 69 with value (4 109) 32 with value (4 234) 3 with value (4 400)
% 224.82/225.09 ; 40 with value (4 110) 14 with value (4 235) 2 with value (4 417)
% 224.82/225.09 ; 65 with value (4 111) 21 with value (4 236) 1 with value (4 434)
% 224.82/225.09 ; 61 with value (4 112) 23 with value (4 237) 1 with value (4 452)
% 224.82/225.09 ; 42 with value (4 113) 22 with value (4 238) 1 with value (4 453)
% 224.82/225.09 ; 35 with value (4 114) 19 with value (4 239) 1 with value (4 463)
% 224.82/225.09 ; 43 with value (4 115) 13 with value (4 240) 1 with value (4 466)
% 224.82/225.09 ; 62 with value (4 116) 18 with value (4 241) 2 with value (4 472)
% 224.82/225.09 ; 58 with value (4 117) 15 with value (4 242) 2 with value (4 524)
% 224.82/225.09 ; 48 with value (4 118) 15 with value (4 243) 1 with value (4 550)
% 224.82/225.09 ; 48 with value (4 119) 31 with value (4 244) 2 with value (4 558)
% 224.82/225.09 ; 54 with value (4 120) 15 with value (4 245) 2 with value (4 608)
% 224.82/225.09 ; 64 with value (4 121) 21 with value (4 246) 2 with value (4 626)
% 224.82/225.09 ; 58 with value (4 122) 15 with value (4 247) 2 with value (4 629)
% 224.82/225.09 ; 42 with value (4 123) 21 with value (4 248) 2 with value (4 640)
% 224.82/225.09 ; 63 with value (4 124) 23 with value (4 249) 1 with value (4 672)
% 224.82/225.09 ; 66 with value (4 125) 14 with value (4 250) 1 with value (4 675)
% 224.82/225.09 ; 64 with value (4 126) 20 with value (4 251) 1 with value (4 697)
% 224.82/225.09 ; 69 with value (4 127) 23 with value (4 252) 1 with value (4 727)
% 224.82/225.09 ; 73 with value (4 128) 20 with value (4 253) 1 with value (4 758)
% 224.82/225.09 ; 62 with value (4 129) 22 with value (4 254) 1 with value (4 887)
% 224.82/225.09 ; 54 with value (4 130) 17 with value (4 255) 1 with value (4 958)
% 224.82/225.09 ; 75 with value (4 131) 13 with value (4 256) 1 with value (4 973)
% 224.82/225.09 ; 70 with value (4 132) 19 with value (4 257) 1 with value (4 1016)
% 224.82/225.09 ; 67 with value (4 133) 19 with value (4 258) 1 with value (4 1031)
% 224.82/225.09 ; 69 with value (4 134) 18 with value (4 259) 2 with value (4 1259)
% 224.82/225.09 Evaluation took:
% 224.82/225.09 224.71 seconds of real time
% 224.82/225.09 217.10683 seconds of user run time
% 224.82/225.09 7.586479 seconds of system run time
% 224.82/225.09 [Run times include 69.704 seconds GC run time.]
% 224.82/225.09 0 calls to %EVAL
% 224.82/225.09 0 page faults and
% 224.82/225.09 18,332,621,072 bytes consed.
% 224.82/225.09 :PROOF-FOUND
% 224.82/225.09 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T11:31:28
% 224.82/225.09 :PROOF-FOUND
% 224.82/225.09 *
%------------------------------------------------------------------------------