TSTP Solution File: SWV926-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV926-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 21:45:38 EDT 2022
% Result : Unsatisfiable 124.15s 124.36s
% Output : Refutation 124.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of clauses : 49 ( 24 unt; 0 nHn; 49 RR)
% Number of literals : 82 ( 0 equ; 40 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 23 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(399,axiom,
( ~ c_lessequals(u,v,tc_fun(w,tc_bool))
| ~ c_lessequals(v,x,tc_fun(w,tc_bool))
| c_lessequals(u,x,tc_fun(w,tc_bool)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(413,axiom,
( ~ class_Lattices_Oupper__semilattice(u)
| ~ c_lessequals(v,w,u)
| c_lessequals(v,c_Lattices_Oupper__semilattice__class_Osup(x,w,u),u) ),
file('SWV926-1.p',unknown),
[] ).
cnf(415,axiom,
( ~ class_Lattices_Oupper__semilattice(u)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(v,w,u),x,u)
| c_lessequals(w,x,u) ),
file('SWV926-1.p',unknown),
[] ).
cnf(441,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),c_Pair(c_Pair(u,c_Pair(v,w,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(x,c_Pair(y,z,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),c_SmallStep_Ored(x1)))
| c_lessequals(c_Map_Odom(w,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(z,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(442,axiom,
equal(c_Lattices_Oupper__semilattice__class_Osup(u,c_Lattices_Oupper__semilattice__class_Osup(v,w,tc_fun(x,tc_bool)),tc_fun(x,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(v,c_Lattices_Oupper__semilattice__class_Osup(u,w,tc_fun(x,tc_bool)),tc_fun(x,tc_bool))),
file('SWV926-1.p',unknown),
[] ).
cnf(449,axiom,
c_lessequals(u,c_Lattices_Oupper__semilattice__class_Osup(v,u,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),
file('SWV926-1.p',unknown),
[] ).
cnf(450,axiom,
c_lessequals(u,c_Lattices_Oupper__semilattice__class_Osup(u,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),
file('SWV926-1.p',unknown),
[] ).
cnf(459,axiom,
equal(c_Lattices_Oupper__semilattice__class_Osup(u,v,tc_fun(w,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(v,u,tc_fun(w,tc_bool))),
file('SWV926-1.p',unknown),
[] ).
cnf(461,axiom,
( ~ class_Lattices_Olattice(u)
| equal(c_Lattices_Oupper__semilattice__class_Osup(v,w,u),c_Lattices_Oupper__semilattice__class_Osup(w,v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(464,axiom,
( ~ class_Lattices_Olattice(u)
| equal(c_Lattices_Oupper__semilattice__class_Osup(v,c_Lattices_Oupper__semilattice__class_Osup(v,w,u),u),c_Lattices_Oupper__semilattice__class_Osup(v,w,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(466,axiom,
( ~ class_Lattices_Olattice(u)
| class_Lattices_Oupper__semilattice(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(467,axiom,
( ~ class_Lattices_Obounded__lattice(u)
| class_Lattices_Obounded__lattice(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(468,axiom,
( ~ class_Orderings_Opreorder(u)
| class_Orderings_Opreorder(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(469,axiom,
( ~ class_Lattices_Olattice(u)
| class_Lattices_Olattice(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(470,axiom,
( ~ class_Orderings_Oorder(u)
| class_Orderings_Oorder(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(471,axiom,
( ~ class_Orderings_Obot(u)
| class_Orderings_Obot(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(472,axiom,
( ~ class_HOL_Oord(u)
| class_HOL_Oord(tc_fun(v,u)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(480,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(481,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(482,axiom,
class_Orderings_Opreorder(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(483,axiom,
class_Lattices_Olattice(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(484,axiom,
class_Orderings_Oorder(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(485,axiom,
class_Orderings_Obot(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(486,axiom,
class_HOL_Oord(tc_bool),
file('SWV926-1.p',unknown),
[] ).
cnf(489,axiom,
c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
file('SWV926-1.p',unknown),
[] ).
cnf(490,axiom,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),c_Pair(c_Pair(v_ea,c_Pair(v_a,v_b,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_Ha,c_Pair(v_aa,v_ba,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),c_SmallStep_Ored(v_P))),
file('SWV926-1.p',unknown),
[] ).
cnf(492,axiom,
equal(c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ab),
file('SWV926-1.p',unknown),
[] ).
cnf(494,axiom,
equal(c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ad),
file('SWV926-1.p',unknown),
[] ).
cnf(496,axiom,
( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
file('SWV926-1.p',unknown),
[] ).
cnf(497,plain,
equal(c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ab),
inference(rew,[status(thm),theory(equality)],[459,492]),
[iquote('0:Rew:459.0,492.0')] ).
cnf(498,plain,
equal(c_Lattices_Oupper__semilattice__class_Osup(v_ae,c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ad),
inference(rew,[status(thm),theory(equality)],[459,494]),
[iquote('0:Rew:459.0,494.0')] ).
cnf(511,plain,
( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(rew,[status(thm),theory(equality)],[497,496,442,459]),
[iquote('0:Rew:497.0,496.2,442.0,496.2,459.0,496.2,442.0,496.2,497.0,496.1,442.0,496.1,459.0,496.1,442.0,496.1,497.0,496.0,442.0,496.0,459.0,496.0,442.0,496.0')] ).
cnf(512,plain,
( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(mrr,[status(thm)],[511,450]),
[iquote('0:MRR:511.0,450.0')] ).
cnf(523,plain,
( ~ c_lessequals(v_ab,u,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ad,u,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(res,[status(thm),theory(equality)],[489,399]),
[iquote('0:Res:489.0,399.1')] ).
cnf(569,plain,
c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(res,[status(thm),theory(equality)],[490,441]),
[iquote('0:Res:490.0,441.0')] ).
cnf(980,plain,
c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(u,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(res,[status(thm),theory(equality)],[449,523]),
[iquote('0:Res:449.0,523.0')] ).
cnf(1240,plain,
( ~ class_Lattices_Olattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| equal(c_Lattices_Oupper__semilattice__class_Osup(v_ae,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ad) ),
inference(spr,[status(thm),theory(equality)],[498,464]),
[iquote('0:SpR:498.0,464.1')] ).
cnf(1259,plain,
( ~ class_Lattices_Olattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| equal(c_Lattices_Oupper__semilattice__class_Osup(v_ad,v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ad) ),
inference(rew,[status(thm),theory(equality)],[461,1240]),
[iquote('0:Rew:461.1,1240.1')] ).
cnf(1260,plain,
equal(c_Lattices_Oupper__semilattice__class_Osup(v_ad,v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),v_ad),
inference(ssi,[status(thm)],[1259,472,486,485,482,484,481,483,480,471,468,470,467,469,466]),
[iquote('0:SSi:1259.0,472.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,471.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,468.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,470.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,467.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,469.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,466.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1')] ).
cnf(1430,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(u,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(u,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(spr,[status(thm),theory(equality)],[497,413]),
[iquote('0:SpR:497.0,413.2')] ).
cnf(1454,plain,
( ~ c_lessequals(u,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(u,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(ssi,[status(thm)],[1430,472,486,485,482,484,481,483,480,471,468,470,467,469,466]),
[iquote('0:SSi:1430.0,472.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,471.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,468.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,470.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,467.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,469.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,466.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1')] ).
cnf(1578,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ad,u,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ae,u,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(spl,[status(thm),theory(equality)],[1260,415]),
[iquote('0:SpL:1260.0,415.1')] ).
cnf(1620,plain,
( ~ c_lessequals(v_ad,u,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ae,u,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(ssi,[status(thm)],[1578,472,486,485,482,484,481,483,480,471,468,470,467,469,466]),
[iquote('0:SSi:1578.0,472.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,471.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,468.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,470.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,467.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,469.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,466.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1')] ).
cnf(13024,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(res,[status(thm),theory(equality)],[413,512]),
[iquote('0:Res:413.2,512.1')] ).
cnf(13029,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(ssi,[status(thm)],[13024,472,486,485,482,484,481,483,480,471,468,470,467,469,466]),
[iquote('0:SSi:13024.0,472.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,471.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,468.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,470.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,467.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,469.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1,466.0,486.0,485.0,482.0,484.0,481.0,483.0,480.1')] ).
cnf(58784,plain,
c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(res,[status(thm),theory(equality)],[569,1454]),
[iquote('0:Res:569.0,1454.0')] ).
cnf(58808,plain,
~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(mrr,[status(thm)],[13029,58784]),
[iquote('0:MRR:13029.0,58784.0')] ).
cnf(58831,plain,
~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(res,[status(thm),theory(equality)],[1620,58808]),
[iquote('0:Res:1620.1,58808.0')] ).
cnf(58899,plain,
$false,
inference(mrr,[status(thm)],[58831,980]),
[iquote('0:MRR:58831.0,980.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV926-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 21:52:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 124.15/124.36
% 124.15/124.36 SPASS V 3.9
% 124.15/124.36 SPASS beiseite: Proof found.
% 124.15/124.36 % SZS status Theorem
% 124.15/124.36 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 124.15/124.36 SPASS derived 45394 clauses, backtracked 0 clauses, performed 0 splits and kept 18791 clauses.
% 124.15/124.36 SPASS allocated 167086 KBytes.
% 124.15/124.36 SPASS spent 0:02:03.93 on the problem.
% 124.15/124.36 0:00:00.07 for the input.
% 124.15/124.36 0:00:00.00 for the FLOTTER CNF translation.
% 124.15/124.36 0:00:01.86 for inferences.
% 124.15/124.36 0:00:00.00 for the backtracking.
% 124.15/124.36 0:02:01.35 for the reduction.
% 124.15/124.36
% 124.15/124.36
% 124.15/124.36 Here is a proof with depth 3, length 49 :
% 124.15/124.36 % SZS output start Refutation
% See solution above
% 124.15/124.36 Formulae used in the proof : cls_subset__trans_0 cls_le__supI2_0 cls_le__sup__iff_1 cls_red__lcl__incr_0 cls_Un__left__commute_0 cls_Un__upper2_0 cls_Un__upper1_0 cls_Un__commute_0 cls_inf__sup__aci_I5_J_0 cls_inf__sup__aci_I8_J_0 clsarity_fun__Lattices_Oupper__semilattice clsarity_fun__Lattices_Obounded__lattice clsarity_fun__Orderings_Opreorder clsarity_fun__Lattices_Olattice clsarity_fun__Orderings_Oorder clsarity_fun__Orderings_Obot clsarity_fun__HOL_Oord clsarity_bool__Lattices_Oupper__semilattice clsarity_bool__Lattices_Obounded__lattice clsarity_bool__Orderings_Opreorder clsarity_bool__Lattices_Olattice clsarity_bool__Orderings_Oorder clsarity_bool__Orderings_Obot clsarity_bool__HOL_Oord cls_conjecture_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_5 cls_conjecture_7
% 126.52/126.77
%------------------------------------------------------------------------------