TSTP Solution File: SCT073-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %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 : 300s
% DateTime : Tue Apr 30 14:55:37 EDT 2024
% Result : Unsatisfiable 4.20s 1.01s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 340
% Syntax : Number of formulae : 345 ( 127 unt; 0 def)
% Number of atoms : 564 ( 139 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 436 ( 217 ~; 219 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 2 prp; 0-3 aty)
% Number of functors : 63 ( 63 usr; 9 con; 0-7 aty)
% Number of variables : 1105 (1105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20019,plain,
$false,
inference(subsumption_resolution,[],[f20017,f527]) ).
fof(f527,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f20017,plain,
v_a____ = v_b____,
inference(resolution,[],[f20014,f460]) ).
fof(f460,axiom,
! [X15,X12] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X15,X12),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__Lin_0) ).
fof(f20014,plain,
~ c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_a____,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(subsumption_resolution,[],[f19905,f527]) ).
fof(f19905,plain,
( ~ c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_a____,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_a____ = v_b____ ),
inference(resolution,[],[f563,f459]) ).
fof(f459,axiom,
! [X15,X12] :
( c_in(c_Pair(X15,X12,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X15,X12),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__Lin_1) ).
fof(f563,plain,
! [X44] :
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X44,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X44,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(global_subsumption,[],[f528,f547,f544,f539,f542,f546,f540,f541,f545,f543,f527,f153,f391,f74,f1,f18,f405,f292,f293,f406,f188,f111,f112,f110,f409,f198,f3,f314,f417,f400,f399,f464,f307,f283,f281,f418,f393,f392,f128,f414,f60,f403,f390,f45,f46,f180,f179,f440,f439,f454,f450,f449,f453,f253,f254,f352,f423,f424,f416,f23,f277,f278,f55,f85,f296,f413,f225,f224,f304,f226,f126,f125,f227,f38,f29,f13,f84,f199,f412,f308,f192,f89,f222,f169,f17,f16,f311,f228,f75,f97,f25,f404,f22,f150,f149,f32,f33,f411,f236,f194,f88,f94,f28,f216,f69,f171,f8,f62,f27,f93,f127,f6,f7,f186,f187,f135,f132,f14,f73,f72,f142,f183,f59,f154,f538,f535,f287,f533,f530,f15,f21,f5,f4,f185,f184,f537,f288,f536,f532,f531,f197,f2,f54,f49,f53,f50,f173,f178,f172,f177,f57,f56,f87,f86,f158,f157,f191,f190,f90,f91,f147,f146,f145,f148,f36,f35,f34,f37,f156,f58,f92,f430,f99,f20,f131,f138,f143,f387,f316,f401,f389,f408,f130,f166,f100,f101,f410,f386,f407,f397,f431,f195,f196,f460,f519,f520,f429,f427,f459,f353,f215,f19,f422,f402,f388,f129,f152,f151,f398,f347,f346,f219,f523,f63,f140,f141,f420,f421,f282,f396,f351,f312,f524,f116,f104,f105,f107,f106,f120,f119,f117,f118,f475,f64,f168,f167,f95,f96,f395,f61,f114,f113,f474,f483,f70,f71,f394,f40,f39,f162,f163,f12,f214,f213,f212,f137,f265,f252,f383,f326,f164,f11,f77,f76,f207,f206,f136,f260,f257,f368,f371,f482,f344,f255,f372,f373,f360,f359,f415,f272,f478,f479,f481,f480,f361,f348,f462,f461,f466,f193,f319,f306,f285,f349,f30,f31,f333,f268,f267,f356,f357,f465,f345,f343,f234,f341,f342,f220,f297,f381,f382,f375,f379,f380,f332,f221,f315,f235,f338,f340,f378,f233,f229,f327,f330,f121,f231,f279,f334,f335,f350,f320,f433,f432,f384,f385,f336,f337,f298,f525]) ).
fof(f525,axiom,
! [X44] :
( v_thesis____
| ~ c_in(X44,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X44,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f298,axiom,
! [X3,X0,X1] :
( ~ c_lessequals(X0,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Otrancl(X0,X1),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__subset__Sigma_0) ).
fof(f337,axiom,
! [X21,X10,X0,X1,X18,X16,X15] :
( ~ c_in(c_Pair(X15,X21,X1,X10),c_Relation_Orel__comp(X0,X16,X1,X18,X10),tc_prod(X1,X10))
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X15,X21,X0,X16,X1,X10,X18),X21,X18,X10),X16,tc_prod(X18,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compEpair_1) ).
fof(f336,axiom,
! [X21,X10,X0,X1,X18,X16,X15] :
( ~ c_in(c_Pair(X15,X21,X1,X10),c_Relation_Orel__comp(X0,X16,X1,X18,X10),tc_prod(X1,X10))
| c_in(c_Pair(X15,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X15,X21,X0,X16,X1,X10,X18),X1,X18),X0,tc_prod(X1,X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compEpair_0) ).
fof(f385,axiom,
! [X2,X0,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X0,X1),X1,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X0,X1,X1),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseI_0) ).
fof(f384,axiom,
! [X2,X0,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X0,X1,X1),X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X4,X1,X1),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X0,X1),X1,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseD_0) ).
fof(f432,axiom,
! [X2,X10,X0,X11,X1,X4] :
( ~ c_in(c_Pair(hAPP(X11,X2),hAPP(X11,X4),X10,X10),X0,tc_prod(X10,X10))
| c_in(c_Pair(X2,X4,X1,X1),c_Relation_Oinv__image(X0,X11,X10,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__inv__image_1) ).
fof(f433,axiom,
! [X2,X10,X0,X11,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Relation_Oinv__image(X0,X11,X10,X1),tc_prod(X1,X1))
| c_in(c_Pair(hAPP(X11,X2),hAPP(X11,X4),X10,X10),X0,tc_prod(X10,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__inv__image_0) ).
fof(f320,axiom,
! [X2,X10,X0,X11,X36,X1] :
( c_Recdef_Ocut(X11,X0,X2,X1,X10) = c_Recdef_Ocut(X36,X0,X2,X1,X10)
| hAPP(X11,c_List_Osko__Recdef__Xcuts__eq__1__1(X11,X36,X0,X2,X1,X10)) != hAPP(X36,c_List_Osko__Recdef__Xcuts__eq__1__1(X11,X36,X0,X2,X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_2) ).
fof(f350,axiom,
! [X2,X10,X0,X11,X36,X1] :
( c_Recdef_Ocut(X11,X0,X2,X1,X10) = c_Recdef_Ocut(X36,X0,X2,X1,X10)
| c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X11,X36,X0,X2,X1,X10),X2,X1,X1),X0,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_1) ).
fof(f335,axiom,
! [X2,X0,X1,X4] :
( c_in(c_Pair(X4,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X0,X1,X1),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseD_0) ).
fof(f334,axiom,
! [X2,X0,X1,X4] :
( ~ c_in(c_Pair(X4,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X0,X1,X1),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseI_0) ).
fof(f279,axiom,
! [X2,X1,X4,X13] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Otrancl(X13,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X13,X2,X4,X1),X4,X1,X1),c_Transitive__Closure_Ortrancl(X13,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_1) ).
fof(f231,axiom,
! [X2,X1,X4,X13] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Otrancl(X13,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X13,X2,X4,X1),X1,X1),c_Transitive__Closure_Ortrancl(X13,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_0) ).
fof(f121,axiom,
! [X2,X1,X4,X13] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Otrancl(X13,X1),tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X13,X2,X4,X1),X4,X1,X1),X13,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_1) ).
fof(f330,axiom,
! [X2,X1,X4,X13] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Otrancl(X13,X1),tc_prod(X1,X1))
| c_in(c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X13,X2,X4,X1),X1,X1),X13,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_0) ).
fof(f327,axiom,
! [X0,X1,X15,X12] :
( ~ c_in(c_Pair(X15,X12,X1,X1),c_Transitive__Closure_Otrancl(X0,X1),tc_prod(X1,X1))
| c_in(c_Pair(X15,X12,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__into__rtrancl_0) ).
fof(f229,axiom,
! [X2,X0,X1,X4] :
( ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X4,X2,X1,X1),X0,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_1) ).
fof(f233,axiom,
! [X3,X10,X11,X1,X6] :
( ~ c_in(hAPP(X11,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X3,X6,X11,X1,X10)),X6,X10)
| c_in(X11,c_FuncSet_OPi(X3,c_COMBK(X6,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcsetI_1) ).
fof(f378,axiom,
! [X10,X0,X1,X15,X12] :
( c_in(c_Pair(X12,X15,X10,X1),X0,tc_prod(X10,X1))
| ~ c_in(c_Pair(X15,X12,X1,X10),c_Relation_Oconverse(X0,X10,X1),tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseD_0) ).
fof(f340,axiom,
! [X3,X10,X11,X1,X6] :
( c_in(X11,c_FuncSet_OPi(X3,X6,X1,X10),tc_fun(X1,X10))
| ~ c_in(hAPP(X11,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X3,X6,X11,X1,X10)),hAPP(X6,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X3,X6,X11,X1,X10)),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_1) ).
fof(f338,axiom,
! [X3,X10,X11,X1,X6] :
( c_in(X11,c_FuncSet_OPi(X3,X6,X1,X10),tc_fun(X1,X10))
| ~ c_in(hAPP(X11,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X3,X6,X11,X1,X10)),hAPP(X6,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X3,X6,X11,X1,X10)),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_H_1) ).
fof(f235,axiom,
! [X3,X10,X11,X1,X6] :
( c_lessequals(c_Set_Oimage(X11,X3,X1,X10),X6,tc_fun(X10,tc_bool))
| ~ c_in(X11,c_FuncSet_OPi(X3,c_COMBK(X6,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcset__image_0) ).
fof(f315,axiom,
! [X3,X10,X0,X1,X6,X7] :
( c_lessequals(c_Relation_OImage(X0,X7,X1,X10),X6,tc_fun(X10,tc_bool))
| ~ c_lessequals(X0,c_Product__Type_OSigma(X3,c_COMBK(X6,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(tc_prod(X1,X10),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__subset_0) ).
fof(f221,axiom,
! [X1,X14,X13] :
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X13,X13,X1,X1,X1),c_Relation_Orel__comp(X14,X13,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__union__merge_1) ).
fof(f332,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X0,X1),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X0,X1),X1,X1),c_Transitive__Closure_Otrancl(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__trancl__rD_0) ).
fof(f380,axiom,
! [X10,X0,X1,X15,X12] :
( ~ c_in(c_Pair(X12,X15,X10,X1),X0,tc_prod(X10,X1))
| c_in(c_Pair(X15,X12,X1,X10),c_Relation_Oconverse(X0,X10,X1),tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__iff_1) ).
fof(f379,axiom,
! [X10,X0,X1,X15,X12] :
( ~ c_in(c_Pair(X15,X12,X1,X10),X0,tc_prod(X1,X10))
| c_in(c_Pair(X12,X15,X10,X1),c_Relation_Oconverse(X0,X1,X10),tc_prod(X10,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseI_0) ).
fof(f375,axiom,
! [X0,X1,X15,X12] :
( ~ c_in(c_Pair(X15,X12,X1,X1),X0,tc_prod(X1,X1))
| c_in(c_Pair(X15,X12,X1,X1),c_Transitive__Closure_Otrancl(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl_Or__into__trancl_0) ).
fof(f382,axiom,
! [X2,X10,X11,X1,X15,X13] :
( ~ c_in(c_Pair(X2,X15,X1,X1),X13,tc_prod(X1,X1))
| hAPP(X11,X2) = hAPP(c_Recdef_Ocut(X11,X13,X15,X1,X10),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tfl__cut__apply_0) ).
fof(f381,axiom,
! [X2,X10,X0,X11,X1,X15] :
( ~ c_in(c_Pair(X2,X15,X1,X1),X0,tc_prod(X1,X1))
| hAPP(X11,X2) = hAPP(c_Recdef_Ocut(X11,X0,X15,X1,X10),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut__apply_0) ).
fof(f297,axiom,
! [X0,X1,X16] :
( ~ c_lessequals(X0,c_Transitive__Closure_Ortrancl(X16,X1),tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Ortrancl(X0,X1),c_Transitive__Closure_Ortrancl(X16,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__subset__rtrancl_0) ).
fof(f220,axiom,
! [X1,X14,X13] :
( ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X13,X13,X1,X1,X1),c_Relation_Orel__comp(X14,X13,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__union__merge_0) ).
fof(f342,axiom,
! [X3,X10,X11,X1,X6] :
( c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(X3,X6,X11,X1,X10),X3,X1)
| c_in(X11,c_FuncSet_OPi(X3,X6,X1,X10),tc_fun(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_0) ).
fof(f341,axiom,
! [X3,X10,X11,X1,X6] :
( c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X3,X6,X11,X1,X10),X3,X1)
| c_in(X11,c_FuncSet_OPi(X3,X6,X1,X10),tc_fun(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_H_0) ).
fof(f234,axiom,
! [X3,X10,X11,X1,X6] :
( c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X3,X6,X11,X1,X10),X3,X1)
| c_in(X11,c_FuncSet_OPi(X3,c_COMBK(X6,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcsetI_0) ).
fof(f343,axiom,
! [X3,X0,X1,X27] :
( ~ c_in(X27,c_Equiv__Relations_Oquotient(X3,X0,X1),tc_fun(X1,tc_bool))
| c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(X3,X27,X0,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotientE_1) ).
fof(f345,axiom,
! [X3,X1,X7] :
( c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X3,X7,X1),X7,tc_fun(X1,tc_bool))
| c_in(X3,c_Complete__Lattice_OInf__class_OInf(X7,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_InterI_0) ).
fof(f465,axiom,
! [X41] :
( c_in(X41,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Relation_Oconverse(X41,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__in__Lin_0) ).
fof(f357,axiom,
! [X3,X10,X0,X1,X12] :
( ~ c_in(X12,c_Relation_OImage(X0,X3,X10,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X3,X12,X0,X10,X1),X12,X10,X1),X0,tc_prod(X10,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ImageE_0) ).
fof(f356,axiom,
! [X3,X10,X0,X1,X12] :
( ~ c_in(X12,c_Relation_OImage(X0,X3,X10,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X3,X12,X0,X10,X1),X12,X10,X1),X0,tc_prod(X10,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_1) ).
fof(f267,axiom,
! [X3,X10,X0,X1,X12] :
( ~ c_in(X12,c_Relation_OImage(X0,X3,X10,X1),X1)
| c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X3,X12,X0,X10,X1),X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_0) ).
fof(f268,axiom,
! [X3,X10,X0,X1,X12] :
( ~ c_in(X12,c_Relation_OImage(X0,X3,X10,X1),X1)
| c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X3,X12,X0,X10,X1),X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ImageE_1) ).
fof(f333,axiom,
! [X3,X1,X7] :
( c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X3,X7,X1),X7,tc_fun(X1,tc_bool))
| ~ c_in(X3,c_Complete__Lattice_OSup__class_OSup(X7,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnionE_1) ).
fof(f31,axiom,
! [X2,X1,X14,X13] :
( ~ c_in(X2,c_Transitive__Closure_Ortrancl(X13,X1),tc_prod(X1,X1))
| c_in(X2,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_0) ).
fof(f30,axiom,
! [X2,X1,X14,X13] :
( ~ c_in(X2,c_Transitive__Closure_Ortrancl(X14,X1),tc_prod(X1,X1))
| c_in(X2,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_1) ).
fof(f349,axiom,
! [X21,X3,X1] :
( ~ c_in(X21,c_Relation_OId__on(X3,X1),tc_prod(X1,X1))
| c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X3,X21,X1),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X3,X21,X1),X1,X1) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__onE_1) ).
fof(f285,axiom,
! [X10,X0,X1,X16] :
( ~ c_lessequals(X0,X16,tc_fun(tc_prod(X1,X10),tc_bool))
| c_lessequals(c_Relation_ODomain(X0,X1,X10),c_Relation_ODomain(X16,X1,X10),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__mono_0) ).
fof(f306,axiom,
! [X0,X1,X16] :
( ~ c_lessequals(X0,X16,tc_fun(tc_prod(X1,X1),tc_bool))
| c_lessequals(c_Transitive__Closure_Ortrancl(X0,X1),c_Transitive__Closure_Ortrancl(X16,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__mono_0) ).
fof(f319,axiom,
! [X1,X34,X35] :
( c_lessequals(c_Wellfounded_Oacc(X34,X1),c_Wellfounded_Oacc(X35,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(X35,X34,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__subset_0) ).
fof(f193,axiom,
! [X0,X1,X16] :
( c_lessequals(c_Relation_OField(X0,X1),c_Relation_OField(X16,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(X0,X16,tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mono__Field_0) ).
fof(f466,axiom,
! [X41] :
( ~ c_in(X41,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| c_in(c_Relation_Oconverse(X41,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__in__Lin_1) ).
fof(f461,axiom,
! [X2,X41] :
( c_in(c_Arrow__Order__Mirabelle_Omktop(X41,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(X41,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mktop__Lin_0) ).
fof(f462,axiom,
! [X2,X41] :
( c_in(c_Arrow__Order__Mirabelle_Omkbot(X41,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(X41,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mkbot__Lin_0) ).
fof(f348,axiom,
! [X21,X3,X1] :
( ~ c_in(X21,c_Relation_OId__on(X3,X1),tc_prod(X1,X1))
| c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X3,X21,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__onE_0) ).
fof(f361,axiom,
! [X2,X1,X13] :
( c_in(X2,c_Relation_ODomain(X13,X1,X1),X1)
| c_in(c_Pair(X2,X2,X1,X1),c_Transitive__Closure_Ortrancl(X13,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_1) ).
fof(f480,axiom,
! [X2,X10,X0,X1,X15] :
( ~ c_in(c_Pair(X15,X2,X1,X10),X0,tc_prod(X1,X10))
| c_in(X15,c_Relation_ODomain(X0,X1,X10),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_1) ).
fof(f481,axiom,
! [X10,X0,X1,X15,X12] :
( c_in(X15,c_Relation_ODomain(X0,X1,X10),X1)
| ~ c_in(c_Pair(X15,X12,X1,X10),X0,tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainI_0) ).
fof(f479,axiom,
! [X10,X0,X1,X15,X12] :
( c_in(X12,c_Relation_ORange(X0,X1,X10),X10)
| ~ c_in(c_Pair(X15,X12,X1,X10),X0,tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeI_0) ).
fof(f478,axiom,
! [X2,X10,X0,X1,X15] :
( ~ c_in(c_Pair(X2,X15,X10,X1),X0,tc_prod(X10,X1))
| c_in(X15,c_Relation_ORange(X0,X10,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_1) ).
fof(f272,axiom,
! [X3,X1,X7] :
( ~ c_in(X3,c_Complete__Lattice_OSup__class_OSup(X7,tc_fun(X1,tc_bool)),X1)
| c_in(X3,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X3,X7,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnionE_0) ).
fof(f415,axiom,
! [X0,X1] :
( c_Relation_Orel__comp(c_Relation_Oconverse(X0,X1,X1),X0,X1,X1,X1) != X0
| c_Equiv__Relations_Oequiv(c_Relation_ODomain(X0,X1,X1),X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__equivI_0) ).
fof(f359,axiom,
! [X10,X0,X1,X15] :
( ~ c_in(X15,c_Relation_ODomain(X0,X1,X10),X1)
| c_in(c_Pair(X15,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X15,X0,X1,X10),X1,X10),X0,tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_0) ).
fof(f360,axiom,
! [X10,X0,X1,X15] :
( ~ c_in(X15,c_Relation_ODomain(X0,X1,X10),X1)
| c_in(c_Pair(X15,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X15,X0,X1,X10),X1,X10),X0,tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainE_0) ).
fof(f373,axiom,
! [X10,X0,X1,X12] :
( ~ c_in(X12,c_Relation_ORange(X0,X10,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X12,X0,X1,X10),X12,X10,X1),X0,tc_prod(X10,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeE_0) ).
fof(f372,axiom,
! [X10,X0,X1,X15] :
( ~ c_in(X15,c_Relation_ORange(X0,X10,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X15,X0,X1,X10),X15,X10,X1),X0,tc_prod(X10,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_0) ).
fof(f255,axiom,
! [X3,X1,X7] :
( ~ c_in(X3,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X3,X7,X1),X1)
| c_in(X3,c_Complete__Lattice_OInf__class_OInf(X7,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_InterI_1) ).
fof(f344,axiom,
! [X29,X1] :
( ~ c_in(X29,c_Relation_OId(X1),tc_prod(X1,X1))
| c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X29,X1),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X29,X1),X1,X1) = X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IdE_0) ).
fof(f482,axiom,
! [X3,X10,X1,X6,X15,X12] :
( c_in(X12,hAPP(X6,X15),X10)
| ~ c_in(c_Pair(X15,X12,X1,X10),c_Product__Type_OSigma(X3,X6,X1,X10),tc_prod(X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD2_0) ).
fof(f371,axiom,
! [X2,X1,X13] :
( c_in(X2,c_Wellfounded_Oacc(X13,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X13,X2,X1),X2,X1,X1),X13,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_0) ).
fof(f368,axiom,
! [X2,X0,X1] :
( c_in(X2,c_Wellfounded_Oacc(X0,X1),X1)
| c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X0,X2,X1),X2,X1,X1),X0,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_0) ).
fof(f257,axiom,
! [X2,X0,X1] :
( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X0,X2,X1),c_Wellfounded_Oacc(X0,X1),X1)
| c_in(X2,c_Wellfounded_Oacc(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_1) ).
fof(f260,axiom,
! [X2,X1,X13] :
( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X13,X2,X1),c_Wellfounded_Oacc(X13,X1),X1)
| c_in(X2,c_Wellfounded_Oacc(X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_1) ).
fof(f136,axiom,
! [X3,X1,X6,X7] :
( c_lessequals(X7,X3,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X7,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
fof(f206,axiom,
! [X3,X1,X6,X7] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X7,tc_fun(X1,tc_bool))
| c_lessequals(X3,X7,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
fof(f207,axiom,
! [X3,X1,X6,X7] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X7,tc_fun(X1,tc_bool))
| c_lessequals(X6,X7,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
fof(f76,axiom,
! [X3,X1,X6,X7] :
( ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_lessequals(X7,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
fof(f77,axiom,
! [X3,X1,X6,X7] :
( ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_lessequals(X7,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
fof(f11,axiom,
! [X2,X3,X1,X6] :
( ~ c_lessequals(c_Set_Oinsert(X2,X3,X1),X6,tc_fun(X1,tc_bool))
| c_lessequals(X3,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
fof(f164,axiom,
! [X3,X1,X6] :
( c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)) != X6
| c_lessequals(X3,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
fof(f326,axiom,
! [X29,X0,X1] :
( c_in(X29,c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
| ~ c_in(X29,X0,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).
fof(f383,axiom,
! [X29,X0,X1] :
( c_in(X29,c_Transitive__Closure_Otrancl(X0,X1),tc_prod(X1,X1))
| ~ c_in(X29,X0,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__trancl_H_0) ).
fof(f252,axiom,
! [X3,X1,X6] :
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool))
| ~ c_in(X6,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inter__lower_0) ).
fof(f265,axiom,
! [X3,X1,X6] :
( c_lessequals(X6,c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| ~ c_in(X6,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Union__upper_0) ).
fof(f137,axiom,
! [X3,X1,X6,X7] :
( ~ c_lessequals(X7,X3,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X7,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
fof(f212,axiom,
! [X3,X10,X11,X1,X6] :
( ~ c_lessequals(X3,X6,tc_fun(X1,tc_bool))
| c_lessequals(c_Set_Oimage(X11,X3,X1,X10),c_Set_Oimage(X11,X6,X1,X10),tc_fun(X10,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).
fof(f213,axiom,
! [X2,X3,X10,X11,X1] :
( ~ c_lessequals(X2,X3,tc_fun(X10,tc_bool))
| c_lessequals(c_Set_Oimage(X11,X2,X10,X1),c_Set_Oimage(X11,X3,X10,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
fof(f214,axiom,
! [X1,X7,X15,X23] :
( c_lessequals(c_Set_Oinsert(X15,X7,X1),c_Set_Oinsert(X15,X23,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(X7,X23,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f12,axiom,
! [X3,X1,X6,X12] :
( c_lessequals(X3,c_Set_Oinsert(X12,X6,X1),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
fof(f163,axiom,
! [X3,X1,X6] :
( ~ c_lessequals(X6,X3,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
fof(f162,axiom,
! [X3,X1,X6] :
( ~ c_lessequals(X3,X6,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
fof(f39,axiom,
! [X3,X1,X6] :
( ~ c_lessequals(X3,X6,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
fof(f40,axiom,
! [X3,X1,X6] :
( ~ c_lessequals(X6,X3,tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
fof(f394,axiom,
! [X0,X1] :
( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X0,X1),X1,X1),X1)
| ~ c_Wellfounded_Owf(c_Relation_Oconverse(X0,X1,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__converse__trancl_0) ).
fof(f71,axiom,
! [X1,X6,X7,X15] :
( c_in(X15,X7,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X15,X6,X1),X7,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
fof(f70,axiom,
! [X3,X1,X6,X15] :
( c_in(X15,X3,X1)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Set_Oinsert(X15,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
fof(f483,axiom,
! [X3,X10,X1,X6,X15,X12] :
( ~ c_in(c_Pair(X15,X12,X1,X10),c_Product__Type_OSigma(X3,X6,X1,X10),tc_prod(X1,X10))
| c_in(X15,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD1_0) ).
fof(f474,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Relation_OId__on(X3,X1),tc_prod(X1,X1))
| c_in(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__iff_1) ).
fof(f113,axiom,
! [X21,X3,X1,X6] :
( ~ c_in(X21,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X1)
| c_in(X21,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_1) ).
fof(f114,axiom,
! [X21,X3,X1,X6] :
( ~ c_in(X21,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X1)
| c_in(X21,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_0) ).
fof(f61,axiom,
! [X2,X3,X1,X6] :
( ~ c_lessequals(c_Set_Oinsert(X2,X3,X1),X6,tc_fun(X1,tc_bool))
| c_in(X2,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f395,axiom,
! [X3,X0,X1] :
( ~ c_Relation_Orefl__on(X3,c_Relation_Oconverse(X0,X1,X1),X1)
| c_Relation_Orefl__on(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_0) ).
fof(f96,axiom,
! [X2,X3,X1,X6] :
( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X2))
| hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).
fof(f95,axiom,
! [X2,X3,X1,X6] :
( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X2))
| hBOOL(hAPP(X6,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_1) ).
fof(f167,axiom,
! [X1,X6,X7,X15] :
( ~ c_in(X15,X7,X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X15,X6,X1),X7,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X15,c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
fof(f168,axiom,
! [X3,X1,X6,X15] :
( ~ c_in(X15,X3,X1)
| c_Set_Oinsert(X15,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Set_Oinsert(X15,X6,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
fof(f64,axiom,
! [X2,X3,X10,X11,X1] :
( ~ c_in(X2,X3,X1)
| c_Set_Oimage(X11,X3,X1,X10) = c_Set_Oinsert(hAPP(X11,X2),c_Set_Oimage(X11,X3,X1,X10),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).
fof(f475,axiom,
! [X2,X3,X1] :
( c_in(c_Pair(X2,X2,X1,X1),c_Relation_OId__on(X3,X1),tc_prod(X1,X1))
| ~ c_in(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__eqI_0) ).
fof(f118,axiom,
! [X2,X3,X10,X11,X1] :
( ~ c_in(X2,X3,X10)
| c_in(hAPP(X11,X2),c_Set_Oimage(X11,X3,X10,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).
fof(f117,axiom,
! [X2,X3,X11,X1,X22] :
( c_in(hAPP(X11,X2),c_Set_Oimage(X11,X3,X22,X1),X1)
| ~ c_in(X2,X3,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f119,axiom,
! [X2,X3,X10,X11,X1] :
( ~ c_in(X2,X3,X10)
| c_in(hAPP(X11,X2),c_Set_Oimage(X11,X3,X10,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).
fof(f120,axiom,
! [X2,X3,X10,X11,X1] :
( ~ c_in(X2,X3,X1)
| c_in(hAPP(X11,X2),c_Set_Oimage(X11,X3,X1,X10),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f106,axiom,
! [X21,X3,X1,X6] :
( c_in(X21,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X1)
| ~ c_in(X21,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).
fof(f107,axiom,
! [X21,X3,X1,X6] :
( c_in(X21,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X1)
| ~ c_in(X21,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).
fof(f105,axiom,
! [X1,X6,X15,X12] :
( ~ c_in(X15,X6,X1)
| c_in(X15,c_Set_Oinsert(X12,X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
fof(f104,axiom,
! [X3,X1,X15,X12] :
( c_in(X15,c_Set_Oinsert(X12,X3,X1),X1)
| ~ c_in(X15,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).
fof(f116,axiom,
! [X3,X1,X15] :
( ~ c_in(X15,X3,X1)
| c_Set_Oinsert(X15,X3,X1) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f524,axiom,
! [X2,X1,X14] :
( ~ c_in(X2,X14,X1)
| hBOOL(hAPP(X14,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f312,axiom,
! [X3,X0,X1] :
( ~ c_Relation_Orefl__on(X3,X0,X1)
| c_lessequals(X0,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_0) ).
fof(f351,axiom,
! [X3,X0,X1] :
( ~ c_Relation_Orefl__on(X3,X0,X1)
| c_lessequals(X0,c_Relation_Orel__comp(c_Relation_Oconverse(X0,X1,X1),X0,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__comp__subset_0) ).
fof(f396,axiom,
! [X3,X0,X1] :
( c_Relation_Orefl__on(X3,c_Relation_Oconverse(X0,X1,X1),X1)
| ~ c_Relation_Orefl__on(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_1) ).
fof(f282,axiom,
! [X3,X0,X1] :
( ~ c_Equiv__Relations_Oequiv(X3,X0,X1)
| c_lessequals(X0,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__type_0) ).
fof(f421,axiom,
! [X3,X0,X1] :
( ~ c_Equiv__Relations_Oequiv(X3,X0,X1)
| c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(X3,X0,X1),tc_fun(X1,tc_bool)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Union__quotient_0) ).
fof(f420,axiom,
! [X3,X0,X1] :
( ~ c_Equiv__Relations_Oequiv(X3,X0,X1)
| c_Relation_Orefl__on(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Orefl__on_0) ).
fof(f141,axiom,
! [X2,X3,X1,X6] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X2))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
fof(f140,axiom,
! [X2,X3,X1,X6] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X2))
| ~ hBOOL(hAPP(X6,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
fof(f63,axiom,
! [X2,X3,X1,X4] :
( hBOOL(hAPP(c_Set_Oinsert(X4,X3,X1),X2))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f523,axiom,
! [X2,X1,X14] :
( ~ hBOOL(hAPP(X14,X2))
| c_in(X2,X14,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f219,axiom,
! [X2,X0,X1,X4] :
( c_Wellfounded_Owf(X0,X1)
| ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X4,X2,X1,X1),X0,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_0) ).
fof(f346,axiom,
! [X0,X1] :
( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X0,X1),c_Wellfounded_Oacc(X0,X1),X1)
| c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__wfI_0) ).
fof(f347,axiom,
! [X0,X1] :
( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X0,X1),c_Wellfounded_Oacc(X0,X1),X1)
| c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__acc__iff_1) ).
fof(f398,axiom,
! [X1,X13] :
( ~ c_Wellfounded_Owf(c_Relation_Orel__comp(X13,X13,X1,X1,X1),X1)
| c_Wellfounded_Owf(X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__comp__self_1) ).
fof(f151,axiom,
! [X1,X19,X20] :
( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X19,X20,tc_fun(X1,tc_bool)),X1)
| c_Finite__Set_Ofinite(X19,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Un_0) ).
fof(f152,axiom,
! [X1,X19,X20] :
( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X19,X20,tc_fun(X1,tc_bool)),X1)
| c_Finite__Set_Ofinite(X20,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Un_1) ).
fof(f129,axiom,
! [X3,X1,X15] :
( ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X15,X3,X1),X1)
| c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__insert_0) ).
fof(f388,axiom,
! [X0,X1] :
( ~ c_Relation_Osym(c_Relation_Oconverse(X0,X1,X1),X1)
| c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__converse_0) ).
fof(f402,axiom,
! [X0,X1] :
( c_Relation_Oconverse(X0,X1,X1) != X0
| c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_1) ).
fof(f422,axiom,
! [X3,X0,X1] :
( ~ c_Equiv__Relations_Oequiv(X3,X0,X1)
| c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Osym_0) ).
fof(f19,axiom,
! [X0,X1] :
( ~ c_Relation_Otrans(c_Relation_Oconverse(X0,X1,X1),X1)
| c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__converse_0) ).
fof(f215,axiom,
! [X3,X0,X1] :
( ~ c_Equiv__Relations_Oequiv(X3,X0,X1)
| c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Otrans_0) ).
fof(f353,axiom,
! [X0,X1] :
( ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X0,X1),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X0,X1),X1,X1),X0,tc_prod(X1,X1))
| c_Nitpick_Orefl_H(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_1) ).
fof(f427,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Relation_OId__on(X3,X1),tc_prod(X1,X1))
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__iff_0) ).
fof(f429,axiom,
! [X1,X15,X12] :
( ~ c_in(c_Pair(X15,X12,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1))
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__in__Id__conv_0) ).
fof(f520,axiom,
! [X10,X1,X15,X12,X42,X43] :
( c_Pair(X15,X12,X1,X10) != c_Pair(X42,X43,X1,X10)
| X15 = X42 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
fof(f519,axiom,
! [X10,X1,X15,X12,X42,X43] :
( c_Pair(X15,X12,X1,X10) != c_Pair(X42,X43,X1,X10)
| X12 = X43 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
fof(f196,axiom,
! [X0,X1,X25] :
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X25,X0,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| ~ c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__Int2_0) ).
fof(f195,axiom,
! [X0,X1,X25] :
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X0,X25,tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| ~ c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__Int1_0) ).
fof(f431,axiom,
! [X0,X1,X15] :
( ~ c_in(c_Pair(X15,X15,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__irrefl_0) ).
fof(f397,axiom,
! [X1,X13] :
( c_Wellfounded_Owf(c_Relation_Orel__comp(X13,X13,X1,X1,X1),X1)
| ~ c_Wellfounded_Owf(X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__comp__self_0) ).
fof(f407,axiom,
! [X10,X0,X11,X1] :
( c_Wellfounded_Owf(c_Relation_Oinv__image(X0,X11,X1,X10),X10)
| ~ c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__inv__image_0) ).
fof(f386,axiom,
! [X2,X0,X1] :
( c_in(X2,c_Wellfounded_Oacc(X0,X1),X1)
| ~ c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__wfD_0) ).
fof(f410,axiom,
! [X0,X1] :
( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(X0,X1),X1)
| ~ c_Wellfounded_Owf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__trancl_0) ).
fof(f101,axiom,
! [X1,X19,X20] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X19,X20,tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(X19,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_0) ).
fof(f100,axiom,
! [X1,X19,X20] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X19,X20,tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(X20,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_1) ).
fof(f166,axiom,
! [X10,X1,X19,X24] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X24,X19,X1,X10),X10)
| ~ c_Finite__Set_Ofinite(X19,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
fof(f130,axiom,
! [X3,X1,X15] :
( c_Finite__Set_Ofinite(c_Set_Oinsert(X15,X3,X1),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__insert_1) ).
fof(f408,axiom,
! [X10,X0,X11,X1] :
( c_Relation_Osym(c_Relation_Oinv__image(X0,X11,X1,X10),X10)
| ~ c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__inv__image_0) ).
fof(f389,axiom,
! [X0,X1] :
( c_Relation_Osym(c_Relation_Oconverse(X0,X1,X1),X1)
| ~ c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__converse_1) ).
fof(f401,axiom,
! [X0,X1] :
( ~ c_Relation_Osym(X0,X1)
| c_Relation_Oconverse(X0,X1,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_0) ).
fof(f316,axiom,
! [X0,X1] :
( c_Relation_Osym(c_Transitive__Closure_Ortrancl(X0,X1),X1)
| ~ c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__rtrancl_0) ).
fof(f387,axiom,
! [X0,X1] :
( c_Relation_Osym(c_Transitive__Closure_Otrancl(X0,X1),X1)
| ~ c_Relation_Osym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__trancl_0) ).
fof(f143,axiom,
! [X0,X1] :
( c_lessequals(c_Relation_Orel__comp(X0,X0,X1,X1,X1),X0,tc_fun(tc_prod(X1,X1),tc_bool))
| ~ c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__O__subset_0) ).
fof(f138,axiom,
! [X0,X1] :
( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1)
| ~ c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__reflclI_0) ).
fof(f131,axiom,
! [X10,X0,X11,X1] :
( c_Relation_Otrans(c_Relation_Oinv__image(X0,X11,X1,X10),X10)
| ~ c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__inv__image_0) ).
fof(f20,axiom,
! [X0,X1] :
( c_Relation_Otrans(c_Relation_Oconverse(X0,X1,X1),X1)
| ~ c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__converse_1) ).
fof(f99,axiom,
! [X0,X1] :
( ~ c_Relation_Otrans(X0,X1)
| c_Transitive__Closure_Otrancl(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__id_0) ).
fof(f430,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Nitpick_Orefl_H(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_0) ).
fof(f92,axiom,
! [X3,X1] :
( c_Finite__Set_Ofinite(X3,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_0) ).
fof(f58,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
fof(f156,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olattice(X1)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).
fof(f37,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
fof(f34,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
fof(f35,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
fof(f36,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
fof(f148,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__assoc_0) ).
fof(f145,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
fof(f146,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
fof(f147,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).
fof(f91,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
fof(f90,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
fof(f190,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
fof(f191,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
fof(f157,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
fof(f158,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
fof(f86,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
fof(f87,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
fof(f56,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).
fof(f57,axiom,
! [X2,X1,X4] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
fof(f177,axiom,
! [X2,X1,X4] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).
fof(f172,axiom,
! [X2,X1,X4] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
fof(f178,axiom,
! [X2,X1,X4] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).
fof(f173,axiom,
! [X2,X1,X4] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X4,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
fof(f50,axiom,
! [X2,X1,X4] :
( c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f53,axiom,
! [X2,X1,X4] :
( c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
fof(f49,axiom,
! [X2,X1,X4] :
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
fof(f54,axiom,
! [X2,X1,X4] :
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
fof(f2,axiom,
! [X2,X1] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f197,axiom,
! [X2,X1] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_0) ).
fof(f531,axiom,
! [X46,X45] :
( class_Lattices_Oupper__semilattice(tc_fun(X45,X46))
| ~ class_Lattices_Olattice(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f532,axiom,
! [X46,X45] :
( class_Lattices_Olower__semilattice(tc_fun(X45,X46))
| ~ class_Lattices_Olattice(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
fof(f536,axiom,
! [X46,X45] :
( class_Lattices_Olattice(tc_fun(X45,X46))
| ~ class_Lattices_Olattice(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
fof(f288,axiom,
! [X2,X1] :
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
fof(f537,axiom,
! [X46,X45] :
( class_Orderings_Oorder(tc_fun(X45,X46))
| ~ class_Orderings_Oorder(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
fof(f184,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X2,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),c_Lattices_Oupper__semilattice__class_Osup(X5,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
fof(f185,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
fof(f4,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X2,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X1),c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
fof(f5,axiom,
! [X2,X1,X4,X5] :
( ~ class_Lattices_Odistrib__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
fof(f21,axiom,
! [X3,X1,X15] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X15,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X15,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__insert_0) ).
fof(f15,axiom,
! [X3,X1,X15] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X15,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X15,c_Complete__Lattice_OInf__class_OInf(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inf__insert_0) ).
fof(f530,axiom,
! [X46,X45] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X45,X46))
| ~ class_Complete__Lattice_Ocomplete__lattice(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
fof(f533,axiom,
! [X46,X45] :
( class_Lattices_Odistrib__lattice(tc_fun(X45,X46))
| ~ class_Lattices_Odistrib__lattice(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
fof(f287,axiom,
! [X2,X1] :
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
fof(f535,axiom,
! [X46,X45] :
( class_Orderings_Opreorder(tc_fun(X45,X46))
| ~ class_Orderings_Opreorder(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
fof(f538,axiom,
! [X46,X45] :
( class_HOL_Oord(tc_fun(X45,X46))
| ~ class_HOL_Oord(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
fof(f154,axiom,
! [X3,X10,X1,X6,X15,X12] : c_Product__Type_OSigma(c_Set_Oinsert(X15,X3,X1),c_COMBK(c_Set_Oinsert(X12,X6,X10),tc_fun(X10,tc_bool),X1),X1,X10) = c_Set_Oinsert(c_Pair(X15,X12,X1,X10),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X3,c_COMBK(c_Set_Oinsert(X12,X6,X10),tc_fun(X10,tc_bool),X1),X1,X10),c_Product__Type_OSigma(c_Set_Oinsert(X15,X3,X1),c_COMBK(X6,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(tc_prod(X1,X10),tc_bool)),tc_prod(X1,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__times__insert_0) ).
fof(f59,axiom,
! [X3,X1,X6,X7] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X7,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X7,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
fof(f183,axiom,
! [X3,X10,X1,X6,X7] : c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),c_COMBK(X7,tc_fun(X10,tc_bool),X1),X1,X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X3,c_COMBK(X7,tc_fun(X10,tc_bool),X1),X1,X10),c_Product__Type_OSigma(X6,c_COMBK(X7,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__Un__distrib1_0) ).
fof(f142,axiom,
! [X3,X10,X1,X6,X7] : c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),c_COMBK(X7,tc_fun(X10,tc_bool),X1),X1,X10) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X3,c_COMBK(X7,tc_fun(X10,tc_bool),X1),X1,X10),c_Product__Type_OSigma(X6,c_COMBK(X7,tc_fun(X10,tc_bool),X1),X1,X10),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__Int__distrib1_0) ).
fof(f72,axiom,
! [X10,X1,X18,X14,X17,X13] : c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X14,X17,tc_fun(tc_prod(X1,X18),tc_bool)),X13,X1,X18,X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X14,X13,X1,X18,X10),c_Relation_Orel__comp(X17,X13,X1,X18,X10),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__distrib2_0) ).
fof(f73,axiom,
! [X10,X18,X1,X14,X17,X13] : c_Relation_Orel__comp(X13,c_Lattices_Oupper__semilattice__class_Osup(X14,X17,tc_fun(tc_prod(X18,X10),tc_bool)),X1,X18,X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X13,X14,X1,X18,X10),c_Relation_Orel__comp(X13,X17,X1,X18,X10),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__distrib_0) ).
fof(f14,axiom,
! [X1,X14,X13] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X13,X1),c_Transitive__Closure_Ortrancl(X14,X1),tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__Un__subset_0) ).
fof(f132,axiom,
! [X3,X10,X11,X1,X6] : c_lessequals(c_Set_Oimage(X11,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X10,tc_bool)),X10,X1),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X11,X3,X10,X1),c_Set_Oimage(X11,X6,X10,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
fof(f135,axiom,
! [X3,X10,X1,X6,X13] : c_lessequals(c_Relation_OImage(X13,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X10,tc_bool)),X10,X1),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X13,X3,X10,X1),c_Relation_OImage(X13,X6,X10,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Int__subset_0) ).
fof(f187,axiom,
! [X3,X1,X6,X7] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X7,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
fof(f186,axiom,
! [X3,X1,X6,X7] : c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X3,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
fof(f7,axiom,
! [X3,X1,X6,X7] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X3,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X7,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
fof(f6,axiom,
! [X3,X1,X6,X7] : c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X3,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
fof(f127,axiom,
! [X3,X10,X1,X6] : c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(tc_prod(X1,X10),tc_bool)),X1,X10),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X3,X1,X10),c_Relation_ODomain(X6,X1,X10),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Int__subset_0) ).
fof(f93,axiom,
! [X3,X10,X1,X6] : c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(tc_prod(X10,X1),tc_bool)),X10,X1),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(X3,X10,X1),c_Relation_ORange(X6,X10,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Int__subset_0) ).
fof(f27,axiom,
! [X3,X10,X1,X14,X13] : c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X10,X1),tc_bool)),X3,X10,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X13,X3,X10,X1),c_Relation_OImage(X14,X3,X10,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Image_0) ).
fof(f62,axiom,
! [X10,X1,X8,X9,X7] : c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X8,X9,tc_fun(X1,tc_bool)),X7,X1,X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X8,X7,X1,X10),c_Product__Type_OSigma(X9,X7,X1,X10),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__Un__distrib1_0) ).
fof(f8,axiom,
! [X10,X1,X8,X9,X7] : c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X8,X9,tc_fun(X1,tc_bool)),X7,X1,X10) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X8,X7,X1,X10),c_Product__Type_OSigma(X9,X7,X1,X10),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__Int__distrib1_0) ).
fof(f171,axiom,
! [X10,X0,X1,X16] : c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X0,X16,tc_fun(tc_prod(X10,X1),tc_bool)),X10,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X0,X10,X1),c_Relation_Oconverse(X16,X10,X1),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Un_0) ).
fof(f69,axiom,
! [X10,X0,X1,X16] : c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X0,X16,tc_fun(tc_prod(X10,X1),tc_bool)),X10,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X0,X10,X1),c_Relation_Oconverse(X16,X10,X1),tc_fun(tc_prod(X1,X10),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Int_0) ).
fof(f216,axiom,
! [X3,X10,X11,X1,X6] : c_Set_Oimage(X11,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X10,tc_bool)),X10,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X11,X3,X10,X1),c_Set_Oimage(X11,X6,X10,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).
fof(f28,axiom,
! [X3,X10,X1,X6,X13] : c_Relation_OImage(X13,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X10,tc_bool)),X10,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X13,X3,X10,X1),c_Relation_OImage(X13,X6,X10,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Un_0) ).
fof(f94,axiom,
! [X1,X14,X13] : c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X13,X14,tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X13,X1),c_Transitive__Closure_Ortrancl(X14,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__Un__rtrancl_0) ).
fof(f88,axiom,
! [X3,X10,X1,X6] : c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(tc_prod(X1,X10),tc_bool)),X1,X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X3,X1,X10),c_Relation_ODomain(X6,X1,X10),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Un__eq_0) ).
fof(f194,axiom,
! [X3,X10,X1,X6] : c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(tc_prod(X10,X1),tc_bool)),X10,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(X3,X10,X1),c_Relation_ORange(X6,X10,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Un__eq_0) ).
fof(f236,axiom,
! [X0,X1] : c_lessequals(c_Transitive__Closure_Otrancl(X0,X1),c_Product__Type_OSigma(c_Relation_OField(X0,X1),c_COMBK(c_Relation_OField(X0,X1),tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__subset__Field2_0) ).
fof(f411,axiom,
! [X39,X10,X1,X18,X14,X17,X13] : c_Relation_Orel__comp(c_Relation_Orel__comp(X13,X14,X1,X39,X18),X17,X1,X18,X10) = c_Relation_Orel__comp(X13,c_Relation_Orel__comp(X14,X17,X39,X18,X10),X1,X39,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_O__assoc_0) ).
fof(f33,axiom,
! [X3,X1,X6,X7] : c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X7,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
fof(f32,axiom,
! [X3,X1,X6,X7] : c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X3,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
fof(f149,axiom,
! [X3,X1,X6,X7] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X7,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
fof(f150,axiom,
! [X3,X1,X6,X7] : c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X3,X7,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
fof(f22,axiom,
! [X3,X1,X6,X15] : c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X15,X3,X1),c_Set_Oinsert(X15,X6,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X15,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
fof(f404,axiom,
! [X10,X0,X18,X1,X16] : c_Relation_Oconverse(c_Relation_Orel__comp(X0,X16,X10,X18,X1),X10,X1) = c_Relation_Orel__comp(c_Relation_Oconverse(X16,X18,X1),c_Relation_Oconverse(X0,X10,X18),X1,X18,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rel__comp_0) ).
fof(f25,axiom,
! [X10,X0,X1,X15,X12] : c_Relation_ODomain(c_Set_Oinsert(c_Pair(X15,X12,X1,X10),X0,tc_prod(X1,X10)),X1,X10) = c_Set_Oinsert(X15,c_Relation_ODomain(X0,X1,X10),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__insert_0) ).
fof(f97,axiom,
! [X10,X0,X1,X15,X12] : c_Relation_ORange(c_Set_Oinsert(c_Pair(X15,X12,X10,X1),X0,tc_prod(X10,X1)),X10,X1) = c_Set_Oinsert(X12,c_Relation_ORange(X0,X10,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__insert_0) ).
fof(f75,axiom,
! [X0,X1,X16] : c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(X0,X16,tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(X0,X1),c_Relation_OField(X16,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Field__Un_0) ).
fof(f228,axiom,
! [X0,X1] : c_Transitive__Closure_Ortrancl(X0,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X0,X1),X0,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__unfold_0) ).
fof(f311,axiom,
! [X3,X1] : c_lessequals(c_Relation_OId__on(X3,X1),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X1,tc_bool),X1),X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__subset__Times_0) ).
fof(f16,axiom,
! [X1,X6,X7,X15] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X15,X6,X1),X7,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X15,c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
fof(f17,axiom,
! [X3,X1,X6,X15] : c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oinsert(X15,X6,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X15,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
fof(f169,axiom,
! [X10,X11,X1,X6,X15] : c_Set_Oimage(X11,c_Set_Oinsert(X15,X6,X10),X10,X1) = c_Set_Oinsert(hAPP(X11,X15),c_Set_Oimage(X11,X6,X10,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).
fof(f222,axiom,
! [X0,X1] : c_Transitive__Closure_Otrancl(X0,X1) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X0,X1),X0,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold_0) ).
fof(f89,axiom,
! [X3,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
fof(f192,axiom,
! [X3,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
fof(f308,axiom,
! [X0,X1] : c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X0,X1),X0,X1,X1,X1) = c_Relation_Orel__comp(X0,c_Transitive__Closure_Ortrancl(X0,X1),X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__comp__rtrancl__eq_0) ).
fof(f412,axiom,
! [X10,X11,X1,X13] : c_Relation_Oconverse(c_Relation_Oinv__image(X13,X11,X10,X1),X1,X1) = c_Relation_Oinv__image(c_Relation_Oconverse(X13,X10,X10),X11,X10,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__inv__image_0) ).
fof(f199,axiom,
! [X0,X1] : c_Relation_OField(X0,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X0,X1,X1),c_Relation_ORange(X0,X1,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Field__def_0) ).
fof(f84,axiom,
c_Relation_OField(v_r,t_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Field__def__raw_0) ).
fof(f13,axiom,
! [X1,X13] : c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X13,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Transitive__Closure_Ortrancl(X13,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__reflcl_0) ).
fof(f29,axiom,
! [X2,X3,X1,X4] : c_Set_Oinsert(X2,c_Set_Oinsert(X4,X3,X1),X1) = c_Set_Oinsert(X4,c_Set_Oinsert(X2,X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
fof(f38,axiom,
! [X1,X13] : c_Transitive__Closure_Ortrancl(X13,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X13,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__reflcl__absorb_0) ).
fof(f227,axiom,
! [X0,X1] : c_Transitive__Closure_Ortrancl(X0,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X0,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Ortrancl__def_0) ).
fof(f125,axiom,
! [X0,X1] : c_Transitive__Closure_Ortrancl(X0,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X0,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_reflcl__trancl_0) ).
fof(f126,axiom,
! [X0,X1] : c_Transitive__Closure_Ortrancl(X0,X1) = c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__reflcl_0) ).
fof(f226,axiom,
! [X3,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)) = c_Relation_OImage(c_Relation_OId__on(X3,X1),X6,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Id__on_0) ).
fof(f304,axiom,
! [X1,X13] : c_Transitive__Closure_Ortrancl(X13,X1) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X13,X1),c_Transitive__Closure_Ortrancl(X13,X1),X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp__self__comp_0) ).
fof(f224,axiom,
! [X0,X1] : c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Relation_Oconverse(X0,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Un__converse_0) ).
fof(f225,axiom,
! [X0,X1] : c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X0,c_Relation_Oconverse(X0,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Int__converse_0) ).
fof(f413,axiom,
! [X0,X1] : c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X0,X1),X1,X1) = c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X0,X1,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converse_0) ).
fof(f296,axiom,
! [X0,X1] : c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X0,X1,X1),X1) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X0,X1),X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converse_0) ).
fof(f85,axiom,
! [X3,X1,X6] : c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X6,X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f55,axiom,
! [X3,X1,X6] : c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X6,X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).
fof(f278,axiom,
! [X2,X1,X13] : c_in(c_Pair(X2,X2,X1,X1),c_Transitive__Closure_Ortrancl(X13,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_1) ).
fof(f277,axiom,
! [X0,X1,X15] : c_in(c_Pair(X15,X15,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__refl_0) ).
fof(f23,axiom,
! [X2,X3,X1] : c_Set_Oinsert(X2,X3,X1) = c_Set_Oinsert(X2,c_Set_Oinsert(X2,X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
fof(f416,axiom,
! [X10,X0,X1] : c_Relation_ODomain(X0,X1,X10) = c_Relation_ORange(c_Relation_Oconverse(X0,X1,X10),X10,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__converse_0) ).
fof(f424,axiom,
! [X10,X0,X1] : c_Relation_ORange(X0,X10,X1) = c_Relation_ODomain(c_Relation_Oconverse(X0,X10,X1),X1,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__def_0) ).
fof(f423,axiom,
! [X10,X0,X1] : c_Relation_ORange(X0,X10,X1) = c_Relation_ODomain(c_Relation_Oconverse(X0,X10,X1),X1,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__converse_0) ).
fof(f352,axiom,
c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__def__raw_0) ).
fof(f254,axiom,
! [X0,X1] : c_Transitive__Closure_Otrancl(X0,X1) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X0,X1),X0,X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold__right_0) ).
fof(f253,axiom,
! [X0,X1] : c_Transitive__Closure_Otrancl(X0,X1) = c_Relation_Orel__comp(X0,c_Transitive__Closure_Ortrancl(X0,X1),X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold__left_0) ).
fof(f453,axiom,
! [X2,X41] : ~ c_in(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X41,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_1) ).
fof(f449,axiom,
! [X2,X41] : ~ c_in(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X41,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_1) ).
fof(f450,axiom,
! [X2,X41,X4] : ~ c_in(c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X41,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_0) ).
fof(f454,axiom,
! [X31,X2,X41] : ~ c_in(c_Pair(X31,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X41,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_0) ).
fof(f439,axiom,
! [X2,X1] : c_in(c_Pair(X2,X2,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__in__Id__conv_1) ).
fof(f440,axiom,
! [X1,X15] : c_in(c_Pair(X15,X15,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IdI_0) ).
fof(f179,axiom,
! [X3,X1,X6] : c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
fof(f180,axiom,
! [X3,X1,X6] : c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,tc_fun(X1,tc_bool)),X6,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
fof(f46,axiom,
! [X3,X1,X6] : c_lessequals(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f45,axiom,
! [X3,X1,X6] : c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
fof(f390,axiom,
! [X0,X1] : c_Relation_ODomain(X0,X1,X1) = c_Relation_ODomain(c_Transitive__Closure_Otrancl(X0,X1),X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__domain_0) ).
fof(f403,axiom,
! [X0,X1] : c_Relation_ORange(X0,X1,X1) = c_Relation_ORange(c_Transitive__Closure_Otrancl(X0,X1),X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__range_0) ).
fof(f60,axiom,
! [X0,X1] : c_Relation_OField(c_Relation_Oconverse(X0,X1,X1),X1) = c_Relation_OField(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Field__converse_0) ).
fof(f414,axiom,
! [X3,X1] : c_Relation_OId__on(X3,X1) = c_Relation_Oconverse(c_Relation_OId__on(X3,X1),X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Id__on_0) ).
fof(f128,axiom,
! [X1,X6,X15] : c_lessequals(X6,c_Set_Oinsert(X15,X6,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f392,axiom,
! [X10,X1,X13] : c_Relation_Orel__comp(c_Relation_OId(X1),X13,X1,X1,X10) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__O__R_0) ).
fof(f393,axiom,
! [X10,X1,X13] : c_Relation_Orel__comp(X13,c_Relation_OId(X10),X1,X10,X10) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_R__O__Id_0) ).
fof(f418,axiom,
! [X10,X0,X1] : c_Relation_Oconverse(c_Relation_Oconverse(X0,X1,X10),X10,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__converse_0) ).
fof(f281,axiom,
! [X0,X1] : c_Transitive__Closure_Ortrancl(X0,X1) = c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp_0) ).
fof(f283,axiom,
! [X1,X13] : c_Transitive__Closure_Ortrancl(X13,X1) = c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X13,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__rtrancl__absorb_0) ).
fof(f307,axiom,
! [X1,X13] : c_Transitive__Closure_Ortrancl(X13,X1) = c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X13,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trancl__absorb_0) ).
fof(f464,axiom,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linear__alt_0) ).
fof(f399,axiom,
! [X3,X1] : c_Relation_OImage(c_Relation_OId(X1),X3,X1,X1) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Id_0) ).
fof(f400,axiom,
! [X3,X1] : c_Relation_ODomain(c_Relation_OId__on(X3,X1),X1,X1) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Id__on_0) ).
fof(f417,axiom,
! [X3,X1] : c_Relation_ORange(c_Relation_OId__on(X3,X1),X1,X1) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Id__on_0) ).
fof(f314,axiom,
! [X28,X10,X1,X30] : hAPP(c_COMBK(X28,X1,X10),X30) = X28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
fof(f3,axiom,
! [X3,X1] : c_Lattices_Oupper__semilattice__class_Osup(X3,X3,tc_fun(X1,tc_bool)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f198,axiom,
! [X3,X1] : c_Lattices_Olower__semilattice__class_Oinf(X3,X3,tc_fun(X1,tc_bool)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
fof(f409,axiom,
! [X1] : c_Relation_OId(X1) = c_Relation_Oconverse(c_Relation_OId(X1),X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Id_0) ).
fof(f110,axiom,
! [X2,X3,X1] : c_in(X2,c_Set_Oinsert(X2,X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f112,axiom,
! [X2,X1,X6] : c_in(X2,c_Set_Oinsert(X2,X6,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).
fof(f111,axiom,
! [X1,X6,X15] : c_in(X15,c_Set_Oinsert(X15,X6,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).
fof(f188,axiom,
! [X2,X3,X1] : hBOOL(hAPP(c_Set_Oinsert(X2,X3,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f406,axiom,
! [X3,X1] : c_Relation_Orefl__on(X3,c_Relation_OId__on(X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__Id__on_0) ).
fof(f293,axiom,
! [X2,X1] : c_lessequals(X2,X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f292,axiom,
! [X3,X1] : c_lessequals(X3,X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
fof(f405,axiom,
! [X3,X1] : c_Relation_Osym(c_Relation_OId__on(X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Id__on_0) ).
fof(f18,axiom,
! [X0,X1] : c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__rtrancl_0) ).
fof(f1,axiom,
! [X0,X1] : c_Relation_Otrans(c_Transitive__Closure_Otrancl(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__trancl_0) ).
fof(f74,axiom,
! [X3,X1] : c_Relation_Otrans(c_Relation_OId__on(X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Id__on_0) ).
fof(f391,axiom,
! [X1] : c_Relation_Osym(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Id_0) ).
fof(f153,axiom,
! [X1] : c_Relation_Otrans(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Id_0) ).
fof(f543,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
fof(f545,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f541,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
fof(f540,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f546,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f542,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
fof(f539,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
fof(f544,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f547,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
fof(f528,axiom,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:11:35 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (21256)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (21259)WARNING: value z3 for option sas not known
% 0.20/0.40 % (21258)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.40 % (21262)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.40 % (21263)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.40 % (21260)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.40 % (21261)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.40 % (21259)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.40 % (21257)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.52 TRYING [1]
% 1.20/0.54 TRYING [2]
% 2.11/0.67 TRYING [1]
% 2.11/0.70 TRYING [2]
% 3.44/0.88 TRYING [1]
% 4.20/0.97 TRYING [2]
% 4.20/1.00 % (21259)First to succeed.
% 4.20/1.01 % (21259)Refutation found. Thanks to Tanya!
% 4.20/1.01 % SZS status Unsatisfiable for theBenchmark
% 4.20/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.02 % (21259)------------------------------
% 4.20/1.02 % (21259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.20/1.02 % (21259)Termination reason: Refutation
% 4.20/1.02
% 4.20/1.02 % (21259)Memory used [KB]: 11426
% 4.20/1.02 % (21259)Time elapsed: 0.612 s
% 4.20/1.02 % (21259)Instructions burned: 1137 (million)
% 4.20/1.02 % (21259)------------------------------
% 4.20/1.02 % (21259)------------------------------
% 4.20/1.02 % (21256)Success in time 0.652 s
%------------------------------------------------------------------------------