TSTP Solution File: ITP012_2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP012_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.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 : Wed Aug 31 17:21:06 EDT 2022
% Result : Theorem 10.34s 1.74s
% Output : Refutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 221
% Syntax : Number of formulae : 900 ( 95 unt; 38 typ; 0 def)
% Number of atoms : 4024 ( 344 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 2692 (1159 ~;1243 |; 83 &)
% ( 156 <=>; 48 =>; 0 <=; 3 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 1629 (1629 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 46 ( 27 >; 19 *; 0 +; 0 <<)
% Number of predicates : 153 ( 151 usr; 149 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-3 aty)
% Number of variables : 541 ( 500 !; 41 ?; 402 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(type_def_7,type,
tp__ty_2Einteger_2Eint: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_10,type,
c_2Ebool_2E_3F: del > $i ).
tff(func_def_11,type,
ty_2Einteger_2Eint: del ).
tff(func_def_12,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
tff(func_def_13,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
tff(func_def_15,type,
fo__c_2Einteger_2Eint__sub: ( tp__ty_2Einteger_2Eint * tp__ty_2Einteger_2Eint ) > tp__ty_2Einteger_2Eint ).
tff(func_def_17,type,
fo__c_2Einteger_2Eint__add: ( tp__ty_2Einteger_2Eint * tp__ty_2Einteger_2Eint ) > tp__ty_2Einteger_2Eint ).
tff(func_def_19,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
tff(func_def_21,type,
fo__c_2Einteger_2Eint__divides: ( tp__ty_2Einteger_2Eint * tp__ty_2Einteger_2Eint ) > tp__o ).
tff(func_def_23,type,
fo__c_2Ebool_2EF: tp__o ).
tff(func_def_25,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_27,type,
fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).
tff(func_def_29,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_31,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_32,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_33,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_34,type,
sK0: ( del * $i ) > $i ).
tff(func_def_35,type,
sK1: ( del * $i ) > $i ).
tff(func_def_36,type,
sK2: ( del * $i * $i ) > $i ).
tff(func_def_37,type,
sK3: ( del * $i ) > $i ).
tff(func_def_38,type,
sK4: ( $i * del ) > $i ).
tff(func_def_39,type,
sK5: ( $i * del ) > $i ).
tff(func_def_40,type,
sK6: ( del * $i * $i ) > $i ).
tff(func_def_41,type,
sK7: ( $i * del ) > $i ).
tff(func_def_42,type,
sK8: tp__ty_2Einteger_2Eint ).
tff(func_def_43,type,
sK9: tp__ty_2Einteger_2Eint ).
tff(func_def_44,type,
sK10: tp__ty_2Einteger_2Eint ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(f2959,plain,
$false,
inference(avatar_smt_refutation,[],[f1353,f1358,f1363,f1368,f1377,f1382,f1387,f1392,f1397,f1402,f1407,f1412,f1419,f1425,f1430,f1443,f1462,f1468,f1474,f1480,f1483,f1485,f1488,f1489,f1512,f1517,f1532,f1539,f1557,f1567,f1571,f1577,f1605,f1632,f1637,f1645,f1650,f1655,f1667,f1671,f1681,f1689,f1694,f1699,f1711,f1715,f1743,f1745,f1748,f1750,f1751,f1757,f1760,f1763,f1778,f1783,f1784,f1785,f1788,f1790,f1802,f1808,f1810,f1813,f1852,f1856,f1860,f1864,f1873,f1878,f1880,f1881,f1882,f1890,f1898,f1899,f1908,f1914,f1923,f1929,f1934,f1948,f1954,f1960,f1965,f1984,f1995,f2008,f2017,f2018,f2019,f2076,f2078,f2085,f2086,f2088,f2089,f2100,f2102,f2105,f2107,f2110,f2119,f2121,f2127,f2134,f2139,f2152,f2157,f2165,f2166,f2173,f2181,f2190,f2192,f2197,f2199,f2206,f2212,f2215,f2216,f2222,f2224,f2233,f2237,f2247,f2251,f2254,f2261,f2278,f2281,f2282,f2289,f2291,f2301,f2310,f2366,f2367,f2373,f2406,f2411,f2413,f2417,f2428,f2430,f2445,f2446,f2447,f2449,f2450,f2456,f2459,f2469,f2470,f2477,f2527,f2539,f2547,f2550,f2555,f2589,f2591,f2593,f2596,f2597,f2598,f2600,f2601,f2603,f2604,f2605,f2611,f2613,f2648,f2653,f2674,f2693,f2698,f2703,f2708,f2713,f2721,f2731,f2736,f2741,f2746,f2751,f2766,f2773,f2792,f2797,f2812,f2817,f2834,f2870,f2897,f2902,f2907,f2912,f2917,f2922,f2956,f2958]) ).
tff(f2958,plain,
( ~ spl11_21
| ~ spl11_109
| spl11_11
| ~ spl11_10
| ~ spl11_49 ),
inference(avatar_split_clause,[],[f2957,f1775,f1394,f1399,f2645,f1477]) ).
tff(f1477,plain,
( spl11_21
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
tff(f2645,plain,
( spl11_109
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_109])]) ).
tff(f1399,plain,
( spl11_11
<=> p(c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
tff(f1394,plain,
( spl11_10
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
tff(f1775,plain,
( spl11_49
<=> ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_49])]) ).
tff(f2957,plain,
( p(c_2Ebool_2EF)
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK9))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ spl11_10
| ~ spl11_49 ),
inference(forward_demodulation,[],[f2953,f1396]) ).
tff(f1396,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f1394]) ).
tff(f2953,plain,
( p(inj__o(fo__c_2Ebool_2EF))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK9))))
| ~ spl11_49 ),
inference(superposition,[],[f1519,f1777]) ).
tff(f1777,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)) )
| ~ spl11_49 ),
inference(avatar_component_clause,[],[f1775]) ).
tff(f1519,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0))) ),
inference(superposition,[],[f1457,f1504]) ).
tff(f1504,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__sub(X0,X1) = fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)) ),
inference(superposition,[],[f1453,f267]) ).
tff(f267,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X0)) = X0 ),
inference(cnf_transformation,[],[f81]) ).
tff(f81,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X0)) = X0 ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X3: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X3)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_ty_2Einteger_2Eint) ).
tff(f1453,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__sub(X1,X0) = surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,fo__c_2Einteger_2Eint__neg(X0)))) ),
inference(forward_demodulation,[],[f1444,f764]) ).
tff(f764,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,X0)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) ),
inference(cnf_transformation,[],[f210]) ).
tff(f210,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,X0)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) ),
inference(rectify,[],[f94]) ).
tff(f94,plain,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X0,X1)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X9: tp__ty_2Einteger_2Eint,X10: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X9,X10)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X9)),inj__ty_2Einteger_2Eint(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__add) ).
tff(f1444,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__sub(X1,X0) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0)))) ),
inference(backward_demodulation,[],[f1438,f683]) ).
tff(f683,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)) = inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)) = inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0)) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X9: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X9)) = ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__neg) ).
tff(f1438,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)))) = fo__c_2Einteger_2Eint__sub(X1,X0) ),
inference(backward_demodulation,[],[f1413,f267]) ).
tff(f1413,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)))) = surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X1,X0))) ),
inference(backward_demodulation,[],[f791,f789]) ).
tff(f789,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X0,X1)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(cnf_transformation,[],[f229]) ).
tff(f229,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X0,X1)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(rectify,[],[f118]) ).
tff(f118,plain,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X1,X0)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X10: tp__ty_2Einteger_2Eint,X9: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X9,X10)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X9)),inj__ty_2Einteger_2Eint(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__sub) ).
tff(f791,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))) ),
inference(cnf_transformation,[],[f104]) ).
tff(f104,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X1)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X24: tp__ty_2Einteger_2Eint,X23: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X23)),inj__ty_2Einteger_2Eint(X24))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X23)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X24)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
tff(f1457,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X1,fo__c_2Einteger_2Eint__add(X2,X0))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X0))) ),
inference(forward_demodulation,[],[f1456,f667]) ).
tff(f667,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X1,X0)) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) ),
inference(cnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X1,X0)) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) ),
inference(rectify,[],[f95]) ).
tff(f95,plain,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X9: tp__ty_2Einteger_2Eint,X10: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X9,X10)) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X9)),inj__ty_2Einteger_2Eint(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__divides) ).
tff(f1456,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X1,fo__c_2Einteger_2Eint__add(X2,X0))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2))) ),
inference(forward_demodulation,[],[f1455,f667]) ).
tff(f1455,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X2,X0))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))) ),
inference(forward_demodulation,[],[f1454,f764]) ).
tff(f1454,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))) ),
inference(forward_demodulation,[],[f853,f667]) ).
tff(f853,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0)))) ),
inference(cnf_transformation,[],[f245]) ).
tff(f245,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X2))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0)))) ) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))) ),
inference(rectify,[],[f244]) ).
tff(f244,plain,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) ) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(nnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(ennf_transformation,[],[f78]) ).
tff(f78,plain,
! [X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) ) ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X27)),inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X27))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(f2956,plain,
( ~ spl11_108
| spl11_11
| ~ spl11_21
| ~ spl11_10
| ~ spl11_49 ),
inference(avatar_split_clause,[],[f2955,f1775,f1394,f1477,f1399,f2586]) ).
tff(f2586,plain,
( spl11_108
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_108])]) ).
tff(f2955,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| p(c_2Ebool_2EF)
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK9)))
| ~ spl11_10
| ~ spl11_49 ),
inference(forward_demodulation,[],[f2951,f1396]) ).
tff(f2951,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| p(inj__o(fo__c_2Ebool_2EF))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK9)))
| ~ spl11_49 ),
inference(superposition,[],[f2582,f1777]) ).
tff(f2582,plain,
! [X3: tp__ty_2Einteger_2Eint,X4: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X3,fo__c_2Einteger_2Eint__sub(X4,X5))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X3,X4)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X3),X5))) ),
inference(forward_demodulation,[],[f2580,f1504]) ).
tff(f2580,plain,
! [X3: tp__ty_2Einteger_2Eint,X4: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X3,fo__c_2Einteger_2Eint__add(X4,fo__c_2Einteger_2Eint__neg(X5)))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X3),X5)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X3,X4))) ),
inference(resolution,[],[f1606,f1449]) ).
tff(f1449,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f1447,f667]) ).
tff(f1447,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X1)))) ),
inference(backward_demodulation,[],[f1434,f683]) ).
tff(f1434,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(backward_demodulation,[],[f713,f667]) ).
tff(f713,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f204]) ).
tff(f204,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(flattening,[],[f203]) ).
tff(f203,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(nnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(rectify,[],[f58]) ).
tff(f58,axiom,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X25))),inj__ty_2Einteger_2Eint(X26)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X26)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(f1606,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2)))) ),
inference(resolution,[],[f1500,f1451]) ).
tff(f1451,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f1446,f667]) ).
tff(f1446,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(backward_demodulation,[],[f1432,f683]) ).
tff(f1432,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(backward_demodulation,[],[f711,f667]) ).
tff(f711,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f204]) ).
tff(f1500,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2)))) ),
inference(resolution,[],[f1457,f1450]) ).
tff(f1450,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f1448,f667]) ).
tff(f1448,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0))),inj__ty_2Einteger_2Eint(X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(backward_demodulation,[],[f1435,f683]) ).
tff(f1435,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) ),
inference(backward_demodulation,[],[f710,f667]) ).
tff(f710,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f204]) ).
tff(f2922,plain,
( spl11_138
| ~ spl11_107 ),
inference(avatar_split_clause,[],[f2882,f2552,f2919]) ).
tff(f2919,plain,
( spl11_138
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_138])]) ).
tff(f2552,plain,
( spl11_107
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_107])]) ).
tff(f2882,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),sK8)))
| ~ spl11_107 ),
inference(resolution,[],[f1971,f2554]) ).
tff(f2554,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK8))))
| ~ spl11_107 ),
inference(avatar_component_clause,[],[f2552]) ).
tff(f1971,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X3))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(X2))),X3))) ),
inference(resolution,[],[f1525,f1451]) ).
tff(f1525,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X3))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(X2)),X3))) ),
inference(resolution,[],[f1496,f1451]) ).
tff(f1496,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X3))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X2),X3))) ),
inference(resolution,[],[f1452,f1451]) ).
tff(f1452,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f1445,f667]) ).
tff(f1445,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(backward_demodulation,[],[f1433,f683]) ).
tff(f1433,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ),
inference(backward_demodulation,[],[f712,f667]) ).
tff(f712,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f204]) ).
tff(f2917,plain,
( spl11_137
| ~ spl11_109 ),
inference(avatar_split_clause,[],[f2883,f2645,f2914]) ).
tff(f2914,plain,
( spl11_137
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_137])]) ).
tff(f2883,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),sK9)))
| ~ spl11_109 ),
inference(resolution,[],[f1971,f2647]) ).
tff(f2647,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK9))))
| ~ spl11_109 ),
inference(avatar_component_clause,[],[f2645]) ).
tff(f2912,plain,
( spl11_136
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f2890,f2718,f2909]) ).
tff(f2909,plain,
( spl11_136
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)))),sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_136])]) ).
tff(f2718,plain,
( spl11_117
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_117])]) ).
tff(f2890,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)))),sK9)))
| ~ spl11_117 ),
inference(resolution,[],[f1971,f2720]) ).
tff(f2720,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(sK9))))
| ~ spl11_117 ),
inference(avatar_component_clause,[],[f2718]) ).
tff(f2907,plain,
( spl11_135
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f2885,f2650,f2904]) ).
tff(f2904,plain,
( spl11_135
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),fo__c_2Einteger_2Eint__neg(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_135])]) ).
tff(f2650,plain,
( spl11_110
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_110])]) ).
tff(f2885,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),fo__c_2Einteger_2Eint__neg(sK9))))
| ~ spl11_110 ),
inference(resolution,[],[f1971,f2652]) ).
tff(f2652,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9)))))
| ~ spl11_110 ),
inference(avatar_component_clause,[],[f2650]) ).
tff(f2902,plain,
( spl11_134
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f2889,f2671,f2899]) ).
tff(f2899,plain,
( spl11_134
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)))),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_134])]) ).
tff(f2671,plain,
( spl11_111
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_111])]) ).
tff(f2889,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)))),sK8)))
| ~ spl11_111 ),
inference(resolution,[],[f1971,f2673]) ).
tff(f2673,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(sK8))))
| ~ spl11_111 ),
inference(avatar_component_clause,[],[f2671]) ).
tff(f2897,plain,
( spl11_133
| ~ spl11_106 ),
inference(avatar_split_clause,[],[f2884,f2544,f2894]) ).
tff(f2894,plain,
( spl11_133
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),fo__c_2Einteger_2Eint__neg(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_133])]) ).
tff(f2544,plain,
( spl11_106
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_106])]) ).
tff(f2884,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10))),fo__c_2Einteger_2Eint__neg(sK8))))
| ~ spl11_106 ),
inference(resolution,[],[f1971,f2546]) ).
tff(f2546,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8)))))
| ~ spl11_106 ),
inference(avatar_component_clause,[],[f2544]) ).
tff(f2870,plain,
( spl11_132
| ~ spl11_130 ),
inference(avatar_split_clause,[],[f2861,f2814,f2867]) ).
tff(f2867,plain,
( spl11_132
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_132])]) ).
tff(f2814,plain,
( spl11_130
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)),sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_130])]) ).
tff(f2861,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9)))))
| ~ spl11_130 ),
inference(resolution,[],[f2816,f1522]) ).
tff(f1522,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X2),X3)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(X3))))) ),
inference(resolution,[],[f1493,f1449]) ).
tff(f1493,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) ),
inference(resolution,[],[f1450,f1449]) ).
tff(f2816,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)),sK9)))
| ~ spl11_130 ),
inference(avatar_component_clause,[],[f2814]) ).
tff(f2834,plain,
( spl11_131
| ~ spl11_128 ),
inference(avatar_split_clause,[],[f2825,f2794,f2831]) ).
tff(f2831,plain,
( spl11_131
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_131])]) ).
tff(f2794,plain,
( spl11_128
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_128])]) ).
tff(f2825,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8)))))
| ~ spl11_128 ),
inference(resolution,[],[f2796,f1522]) ).
tff(f2796,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)),sK8)))
| ~ spl11_128 ),
inference(avatar_component_clause,[],[f2794]) ).
tff(f2817,plain,
( spl11_130
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f2806,f2718,f2814]) ).
tff(f2806,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)),sK9)))
| ~ spl11_117 ),
inference(resolution,[],[f2720,f1496]) ).
tff(f2812,plain,
( spl11_129
| ~ spl11_117 ),
inference(avatar_split_clause,[],[f2801,f2718,f2809]) ).
tff(f2809,plain,
( spl11_129
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_129])]) ).
tff(f2801,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9))))))
| ~ spl11_117 ),
inference(resolution,[],[f2720,f1522]) ).
tff(f2797,plain,
( spl11_128
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f2785,f2671,f2794]) ).
tff(f2785,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK10)),sK8)))
| ~ spl11_111 ),
inference(resolution,[],[f2673,f1496]) ).
tff(f2792,plain,
( spl11_127
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f2780,f2671,f2789]) ).
tff(f2789,plain,
( spl11_127
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_127])]) ).
tff(f2780,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8))))))
| ~ spl11_111 ),
inference(resolution,[],[f2673,f1522]) ).
tff(f2773,plain,
( spl11_125
| spl11_126
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f2753,f1440,f2771,f2768]) ).
tff(f2768,plain,
( spl11_125
<=> ! [X4] :
( ~ mem(X4,arr(ty_2Einteger_2Eint,bool))
| mem(sK1(ty_2Einteger_2Eint,X4),ty_2Einteger_2Eint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_125])]) ).
tff(f2771,plain,
( spl11_126
<=> ! [X5: tp__ty_2Einteger_2Eint,X3] :
( mem(sK0(ty_2Einteger_2Eint,ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X5))),ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X5)),X3))
| ~ mem(X3,ty_2Einteger_2Eint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_126])]) ).
tff(f1440,plain,
( spl11_17
<=> mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
tff(f2753,plain,
( ! [X3: $i,X4: $i,X5: tp__ty_2Einteger_2Eint] :
( mem(sK0(ty_2Einteger_2Eint,ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X5))),ty_2Einteger_2Eint)
| ~ mem(X4,arr(ty_2Einteger_2Eint,bool))
| mem(sK1(ty_2Einteger_2Eint,X4),ty_2Einteger_2Eint)
| ~ mem(X3,ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X5)),X3)) )
| ~ spl11_17 ),
inference(resolution,[],[f1835,f700]) ).
tff(f700,plain,
! [X2: $i,X3: $i,X0: del,X1: $i] :
( ~ mem(X1,arr(X0,bool))
| ~ mem(X3,X0)
| mem(sK1(X0,X2),X0)
| ~ mem(X2,arr(X0,bool))
| p(ap(X1,X3))
| mem(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f202]) ).
tff(f202,plain,
! [X0: del,X1] :
( ! [X2] :
( ( ( ! [X3] :
( ~ mem(X3,X0)
| ( p(ap(X2,X3))
& p(ap(X1,X3)) ) )
| ( ~ p(ap(X1,sK0(X0,X1)))
& mem(sK0(X0,X1),X0) )
| ( ~ p(ap(X2,sK1(X0,X2)))
& mem(sK1(X0,X2),X0) ) )
& ( ( ! [X6] :
( p(ap(X1,X6))
| ~ mem(X6,X0) )
& ! [X7] :
( p(ap(X2,X7))
| ~ mem(X7,X0) ) )
| ( mem(sK2(X0,X1,X2),X0)
& ( ~ p(ap(X2,sK2(X0,X1,X2)))
| ~ p(ap(X1,sK2(X0,X1,X2))) ) ) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f198,f201,f200,f199]) ).
tff(f199,plain,
! [X0: del,X1] :
( ? [X4] :
( ~ p(ap(X1,X4))
& mem(X4,X0) )
=> ( ~ p(ap(X1,sK0(X0,X1)))
& mem(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f200,plain,
! [X0: del,X2] :
( ? [X5] :
( ~ p(ap(X2,X5))
& mem(X5,X0) )
=> ( ~ p(ap(X2,sK1(X0,X2)))
& mem(sK1(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f201,plain,
! [X0: del,X1,X2] :
( ? [X8] :
( mem(X8,X0)
& ( ~ p(ap(X2,X8))
| ~ p(ap(X1,X8)) ) )
=> ( mem(sK2(X0,X1,X2),X0)
& ( ~ p(ap(X2,sK2(X0,X1,X2)))
| ~ p(ap(X1,sK2(X0,X1,X2))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f198,plain,
! [X0: del,X1] :
( ! [X2] :
( ( ( ! [X3] :
( ~ mem(X3,X0)
| ( p(ap(X2,X3))
& p(ap(X1,X3)) ) )
| ? [X4] :
( ~ p(ap(X1,X4))
& mem(X4,X0) )
| ? [X5] :
( ~ p(ap(X2,X5))
& mem(X5,X0) ) )
& ( ( ! [X6] :
( p(ap(X1,X6))
| ~ mem(X6,X0) )
& ! [X7] :
( p(ap(X2,X7))
| ~ mem(X7,X0) ) )
| ? [X8] :
( mem(X8,X0)
& ( ~ p(ap(X2,X8))
| ~ p(ap(X1,X8)) ) ) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(rectify,[],[f197]) ).
tff(f197,plain,
! [X1: del,X0] :
( ! [X2] :
( ( ( ! [X5] :
( ~ mem(X5,X1)
| ( p(ap(X2,X5))
& p(ap(X0,X5)) ) )
| ? [X3] :
( ~ p(ap(X0,X3))
& mem(X3,X1) )
| ? [X4] :
( ~ p(ap(X2,X4))
& mem(X4,X1) ) )
& ( ( ! [X3] :
( p(ap(X0,X3))
| ~ mem(X3,X1) )
& ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X1) ) )
| ? [X5] :
( mem(X5,X1)
& ( ~ p(ap(X2,X5))
| ~ p(ap(X0,X5)) ) ) ) )
| ~ mem(X2,arr(X1,bool)) )
| ~ mem(X0,arr(X1,bool)) ),
inference(flattening,[],[f196]) ).
tff(f196,plain,
! [X1: del,X0] :
( ! [X2] :
( ( ( ! [X5] :
( ~ mem(X5,X1)
| ( p(ap(X2,X5))
& p(ap(X0,X5)) ) )
| ? [X3] :
( ~ p(ap(X0,X3))
& mem(X3,X1) )
| ? [X4] :
( ~ p(ap(X2,X4))
& mem(X4,X1) ) )
& ( ( ! [X3] :
( p(ap(X0,X3))
| ~ mem(X3,X1) )
& ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X1) ) )
| ? [X5] :
( mem(X5,X1)
& ( ~ p(ap(X2,X5))
| ~ p(ap(X0,X5)) ) ) ) )
| ~ mem(X2,arr(X1,bool)) )
| ~ mem(X0,arr(X1,bool)) ),
inference(nnf_transformation,[],[f171]) ).
tff(f171,plain,
! [X1: del,X0] :
( ! [X2] :
( ( ! [X5] :
( ~ mem(X5,X1)
| ( p(ap(X2,X5))
& p(ap(X0,X5)) ) )
<=> ( ! [X3] :
( p(ap(X0,X3))
| ~ mem(X3,X1) )
& ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X1) ) ) )
| ~ mem(X2,arr(X1,bool)) )
| ~ mem(X0,arr(X1,bool)) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X1: del,X0] :
( mem(X0,arr(X1,bool))
=> ! [X2] :
( mem(X2,arr(X1,bool))
=> ( ( ! [X3] :
( mem(X3,X1)
=> p(ap(X0,X3)) )
& ! [X4] :
( mem(X4,X1)
=> p(ap(X2,X4)) ) )
<=> ! [X5] :
( mem(X5,X1)
=> ( p(ap(X2,X5))
& p(ap(X0,X5)) ) ) ) ) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X14,X8: del] :
( mem(X14,arr(X8,bool))
=> ! [X17] :
( mem(X17,arr(X8,bool))
=> ( ( ! [X18] :
( mem(X18,X8)
=> p(ap(X14,X18)) )
& ! [X19] :
( mem(X19,X8)
=> p(ap(X17,X19)) ) )
<=> ! [X16] :
( mem(X16,X8)
=> ( p(ap(X17,X16))
& p(ap(X14,X16)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2EFORALL__AND__THM) ).
tff(f1835,plain,
( ! [X0: tp__ty_2Einteger_2Eint] : mem(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),arr(ty_2Einteger_2Eint,bool))
| ~ spl11_17 ),
inference(resolution,[],[f1540,f849]) ).
tff(f849,plain,
! [X0: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X0),ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X0),ty_2Einteger_2Eint),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X3: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X3),ty_2Einteger_2Eint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_ty_2Einteger_2Eint) ).
tff(f1540,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__divides,X0),arr(ty_2Einteger_2Eint,bool)) )
| ~ spl11_17 ),
inference(resolution,[],[f862,f1442]) ).
tff(f1442,plain,
( mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)))
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f1440]) ).
tff(f862,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X1,X0))
| mem(ap(X2,X3),X0)
| ~ mem(X3,X1) ),
inference(cnf_transformation,[],[f249]) ).
tff(f249,plain,
! [X0: del,X1: del,X2] :
( ~ mem(X2,arr(X1,X0))
| ! [X3] :
( ~ mem(X3,X1)
| mem(ap(X2,X3),X0) ) ),
inference(rectify,[],[f154]) ).
tff(f154,plain,
! [X2: del,X1: del,X0] :
( ~ mem(X0,arr(X1,X2))
| ! [X3] :
( ~ mem(X3,X1)
| mem(ap(X0,X3),X2) ) ),
inference(ennf_transformation,[],[f75]) ).
tff(f75,plain,
! [X2: del,X1: del,X0] :
( mem(X0,arr(X1,X2))
=> ! [X3] :
( mem(X3,X1)
=> mem(ap(X0,X3),X2) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X2,X0: del,X1: del] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
tff(f2766,plain,
( spl11_123
| spl11_124
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f2752,f1440,f2764,f2761]) ).
tff(f2761,plain,
( spl11_123
<=> ! [X2,X1: tp__ty_2Einteger_2Eint] :
( mem(sK1(ty_2Einteger_2Eint,ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1))),ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_123])]) ).
tff(f2764,plain,
( spl11_124
<=> ! [X0] :
( ~ mem(X0,arr(ty_2Einteger_2Eint,bool))
| mem(sK0(ty_2Einteger_2Eint,X0),ty_2Einteger_2Eint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_124])]) ).
tff(f2752,plain,
( ! [X2: $i,X0: $i,X1: tp__ty_2Einteger_2Eint] :
( ~ mem(X0,arr(ty_2Einteger_2Eint,bool))
| mem(sK1(ty_2Einteger_2Eint,ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1))),ty_2Einteger_2Eint)
| mem(sK0(ty_2Einteger_2Eint,X0),ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),X2))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ spl11_17 ),
inference(resolution,[],[f1835,f704]) ).
tff(f704,plain,
! [X2: $i,X3: $i,X0: del,X1: $i] :
( ~ mem(X2,arr(X0,bool))
| mem(sK0(X0,X1),X0)
| mem(sK1(X0,X2),X0)
| ~ mem(X1,arr(X0,bool))
| ~ mem(X3,X0)
| p(ap(X2,X3)) ),
inference(cnf_transformation,[],[f202]) ).
tff(f2751,plain,
( spl11_122
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f2726,f2442,f2748]) ).
tff(f2748,plain,
( spl11_122
<=> ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add))) = sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_122])]) ).
tff(f2442,plain,
( spl11_102
<=> mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_102])]) ).
tff(f2726,plain,
( ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add))) = sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add) )
| ~ spl11_102 ),
inference(resolution,[],[f2444,f803]) ).
tff(f803,plain,
! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 ) ),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0] :
( ~ mem(X0,ty_2Einteger_2Eint)
| ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 ) ),
inference(ennf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 ) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X3] :
( mem(X3,ty_2Einteger_2Eint)
=> ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X3)) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_ty_2Einteger_2Eint) ).
tff(f2444,plain,
( mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add),ty_2Einteger_2Eint)
| ~ spl11_102 ),
inference(avatar_component_clause,[],[f2442]) ).
tff(f2746,plain,
( spl11_121
| ~ spl11_15
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f2722,f2442,f1422,f2743]) ).
tff(f2743,plain,
( spl11_121
<=> mem(ap(c_2Einteger_2Eint__add,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_121])]) ).
tff(f1422,plain,
( spl11_15
<=> mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
tff(f2722,plain,
( mem(ap(c_2Einteger_2Eint__add,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ spl11_15
| ~ spl11_102 ),
inference(resolution,[],[f2444,f1542]) ).
tff(f1542,plain,
( ! [X2: $i] :
( ~ mem(X2,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__add,X2),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) )
| ~ spl11_15 ),
inference(resolution,[],[f862,f1424]) ).
tff(f1424,plain,
( mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)))
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f1422]) ).
tff(f2741,plain,
( spl11_120
| ~ spl11_18
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f2723,f2442,f1459,f2738]) ).
tff(f2738,plain,
( spl11_120
<=> mem(ap(c_2Einteger_2Eint__sub,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_120])]) ).
tff(f1459,plain,
( spl11_18
<=> mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
tff(f2723,plain,
( mem(ap(c_2Einteger_2Eint__sub,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ spl11_18
| ~ spl11_102 ),
inference(resolution,[],[f2444,f1541]) ).
tff(f1541,plain,
( ! [X1: $i] :
( ~ mem(X1,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__sub,X1),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) )
| ~ spl11_18 ),
inference(resolution,[],[f862,f1461]) ).
tff(f1461,plain,
( mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)))
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f1459]) ).
tff(f2736,plain,
( spl11_119
| ~ spl11_1
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f2725,f2442,f1350,f2733]) ).
tff(f2733,plain,
( spl11_119
<=> mem(ap(c_2Einteger_2Eint__neg,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_119])]) ).
tff(f1350,plain,
( spl11_1
<=> mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
tff(f2725,plain,
( mem(ap(c_2Einteger_2Eint__neg,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),ty_2Einteger_2Eint)
| ~ spl11_1
| ~ spl11_102 ),
inference(resolution,[],[f2444,f1543]) ).
tff(f1543,plain,
( ! [X3: $i] :
( ~ mem(X3,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__neg,X3),ty_2Einteger_2Eint) )
| ~ spl11_1 ),
inference(resolution,[],[f862,f1352]) ).
tff(f1352,plain,
( mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f1350]) ).
tff(f2731,plain,
( spl11_118
| ~ spl11_17
| ~ spl11_102 ),
inference(avatar_split_clause,[],[f2724,f2442,f1440,f2728]) ).
tff(f2728,plain,
( spl11_118
<=> mem(ap(c_2Einteger_2Eint__divides,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),arr(ty_2Einteger_2Eint,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_118])]) ).
tff(f2724,plain,
( mem(ap(c_2Einteger_2Eint__divides,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add)),arr(ty_2Einteger_2Eint,bool))
| ~ spl11_17
| ~ spl11_102 ),
inference(resolution,[],[f2444,f1540]) ).
tff(f2721,plain,
( spl11_117
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f2715,f2650,f2718]) ).
tff(f2715,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(sK9))))
| ~ spl11_110 ),
inference(resolution,[],[f2652,f1496]) ).
tff(f2713,plain,
( spl11_116
| ~ spl11_17
| ~ spl11_76 ),
inference(avatar_split_clause,[],[f2686,f1988,f1440,f2710]) ).
tff(f2710,plain,
( spl11_116
<=> mem(ap(c_2Einteger_2Eint__divides,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),arr(ty_2Einteger_2Eint,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_116])]) ).
tff(f1988,plain,
( spl11_76
<=> mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_76])]) ).
tff(f2686,plain,
( mem(ap(c_2Einteger_2Eint__divides,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),arr(ty_2Einteger_2Eint,bool))
| ~ spl11_17
| ~ spl11_76 ),
inference(resolution,[],[f1990,f1540]) ).
tff(f1990,plain,
( mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| ~ spl11_76 ),
inference(avatar_component_clause,[],[f1988]) ).
tff(f2708,plain,
( spl11_115
| ~ spl11_15
| ~ spl11_76 ),
inference(avatar_split_clause,[],[f2684,f1988,f1422,f2705]) ).
tff(f2705,plain,
( spl11_115
<=> mem(ap(c_2Einteger_2Eint__add,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_115])]) ).
tff(f2684,plain,
( mem(ap(c_2Einteger_2Eint__add,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ spl11_15
| ~ spl11_76 ),
inference(resolution,[],[f1990,f1542]) ).
tff(f2703,plain,
( spl11_114
| ~ spl11_18
| ~ spl11_76 ),
inference(avatar_split_clause,[],[f2685,f1988,f1459,f2700]) ).
tff(f2700,plain,
( spl11_114
<=> mem(ap(c_2Einteger_2Eint__sub,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_114])]) ).
tff(f2685,plain,
( mem(ap(c_2Einteger_2Eint__sub,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ spl11_18
| ~ spl11_76 ),
inference(resolution,[],[f1990,f1541]) ).
tff(f2698,plain,
( spl11_113
| ~ spl11_76 ),
inference(avatar_split_clause,[],[f2688,f1988,f2695]) ).
tff(f2695,plain,
( spl11_113
<=> ( sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_113])]) ).
tff(f2688,plain,
( ( sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub))) )
| ~ spl11_76 ),
inference(resolution,[],[f1990,f803]) ).
tff(f2693,plain,
( spl11_112
| ~ spl11_1
| ~ spl11_76 ),
inference(avatar_split_clause,[],[f2687,f1988,f1350,f2690]) ).
tff(f2690,plain,
( spl11_112
<=> mem(ap(c_2Einteger_2Eint__neg,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_112])]) ).
tff(f2687,plain,
( mem(ap(c_2Einteger_2Eint__neg,sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub)),ty_2Einteger_2Eint)
| ~ spl11_1
| ~ spl11_76 ),
inference(resolution,[],[f1990,f1543]) ).
tff(f2674,plain,
( spl11_111
| ~ spl11_106 ),
inference(avatar_split_clause,[],[f2668,f2544,f2671]) ).
tff(f2668,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),fo__c_2Einteger_2Eint__neg(sK8))))
| ~ spl11_106 ),
inference(resolution,[],[f2546,f1496]) ).
tff(f2653,plain,
( spl11_110
| ~ spl11_108 ),
inference(avatar_split_clause,[],[f2641,f2586,f2650]) ).
tff(f2641,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK9)))))
| ~ spl11_108 ),
inference(resolution,[],[f2587,f1522]) ).
tff(f2587,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK9)))
| ~ spl11_108 ),
inference(avatar_component_clause,[],[f2586]) ).
tff(f2648,plain,
( spl11_109
| ~ spl11_108 ),
inference(avatar_split_clause,[],[f2642,f2586,f2645]) ).
tff(f2642,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK9))))
| ~ spl11_108 ),
inference(resolution,[],[f2587,f1493]) ).
tff(f2613,plain,
( spl11_49
| ~ spl11_22
| ~ spl11_47 ),
inference(avatar_split_clause,[],[f1773,f1740,f1509,f1775]) ).
tff(f1509,plain,
( spl11_22
<=> ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
tff(f1740,plain,
( spl11_47
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_47])]) ).
tff(f1773,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)) )
| ~ spl11_22
| ~ spl11_47 ),
inference(forward_demodulation,[],[f1771,f1511]) ).
tff(f1511,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f1509]) ).
tff(f1771,plain,
( ( fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)) = surj__o(c_2Ebool_2EF) )
| ~ spl11_47 ),
inference(superposition,[],[f854,f1742]) ).
tff(f1742,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))) )
| ~ spl11_47 ),
inference(avatar_component_clause,[],[f1740]) ).
tff(f854,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X3: tp__o] : ( surj__o(inj__o(X3)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_o) ).
tff(f2611,plain,
( spl11_49
| ~ spl11_22
| ~ spl11_47 ),
inference(avatar_split_clause,[],[f2610,f1740,f1509,f1775]) ).
tff(f2610,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)) )
| ~ spl11_22
| ~ spl11_47 ),
inference(forward_demodulation,[],[f1771,f1511]) ).
tff(f2605,plain,
( ~ spl11_21
| spl11_105 ),
inference(avatar_split_clause,[],[f2562,f2536,f1477]) ).
tff(f2536,plain,
( spl11_105
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_105])]) ).
tff(f2562,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| spl11_105 ),
inference(resolution,[],[f2537,f1451]) ).
tff(f2537,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK8)))
| spl11_105 ),
inference(avatar_component_clause,[],[f2536]) ).
tff(f2604,plain,
( spl11_49
| ~ spl11_22
| ~ spl11_47 ),
inference(avatar_split_clause,[],[f1834,f1740,f1509,f1775]) ).
tff(f1834,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)) )
| ~ spl11_22
| ~ spl11_47 ),
inference(forward_demodulation,[],[f1771,f1511]) ).
tff(f2603,plain,
( spl11_103
| ~ spl11_50
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f2451,f1875,f1780,f2453]) ).
tff(f2453,plain,
( spl11_103
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_103])]) ).
tff(f1780,plain,
( spl11_50
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).
tff(f1875,plain,
( spl11_59
<=> ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_59])]) ).
tff(f2451,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) )
| ~ spl11_50
| ~ spl11_59 ),
inference(forward_demodulation,[],[f1782,f1877]) ).
tff(f1877,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl11_59 ),
inference(avatar_component_clause,[],[f1875]) ).
tff(f1782,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) )
| ~ spl11_50 ),
inference(avatar_component_clause,[],[f1780]) ).
tff(f2601,plain,
( ~ spl11_21
| spl11_107 ),
inference(avatar_split_clause,[],[f2565,f2552,f1477]) ).
tff(f2565,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| spl11_107 ),
inference(resolution,[],[f2553,f1449]) ).
tff(f2553,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK8))))
| spl11_107 ),
inference(avatar_component_clause,[],[f2552]) ).
tff(f2600,plain,
( ~ spl11_20
| spl11_14 ),
inference(avatar_split_clause,[],[f1826,f1416,f1471]) ).
tff(f1471,plain,
( spl11_20
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
tff(f1416,plain,
( spl11_14
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
tff(f1826,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_14 ),
inference(forward_demodulation,[],[f1418,f667]) ).
tff(f1418,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_14 ),
inference(avatar_component_clause,[],[f1416]) ).
tff(f2598,plain,
( ~ spl11_20
| spl11_6 ),
inference(avatar_split_clause,[],[f1759,f1374,f1471]) ).
tff(f1374,plain,
( spl11_6
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
tff(f1759,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_6 ),
inference(forward_demodulation,[],[f1758,f667]) ).
tff(f1758,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_6 ),
inference(forward_demodulation,[],[f1375,f789]) ).
tff(f1375,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| spl11_6 ),
inference(avatar_component_clause,[],[f1374]) ).
tff(f2597,plain,
( spl11_21
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f1809,f1370,f1477]) ).
tff(f1370,plain,
( spl11_5
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
tff(f1809,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ spl11_5 ),
inference(forward_demodulation,[],[f1372,f667]) ).
tff(f1372,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8)))
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f1370]) ).
tff(f2596,plain,
( spl11_103
| ~ spl11_50
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f2595,f1875,f1780,f2453]) ).
tff(f2595,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) )
| ~ spl11_50
| ~ spl11_59 ),
inference(forward_demodulation,[],[f1782,f1877]) ).
tff(f2593,plain,
( ~ spl11_20
| spl11_14 ),
inference(avatar_split_clause,[],[f1469,f1416,f1471]) ).
tff(f1469,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_14 ),
inference(forward_demodulation,[],[f1418,f667]) ).
tff(f2591,plain,
( ~ spl11_19
| spl11_108 ),
inference(avatar_split_clause,[],[f2590,f2586,f1465]) ).
tff(f1465,plain,
( spl11_19
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
tff(f2590,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9)))
| spl11_108 ),
inference(resolution,[],[f2588,f1451]) ).
tff(f2588,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK9)))
| spl11_108 ),
inference(avatar_component_clause,[],[f2586]) ).
tff(f2589,plain,
( spl11_105
| ~ spl11_108
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f2583,f1471,f2586,f2536]) ).
tff(f2583,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK9)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK8)))
| ~ spl11_20 ),
inference(resolution,[],[f1594,f1472]) ).
tff(f1472,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f1471]) ).
tff(f1594,plain,
! [X3: tp__ty_2Einteger_2Eint,X4: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X3,fo__c_2Einteger_2Eint__sub(X4,X5))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X3),X4)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X3),X5))) ),
inference(forward_demodulation,[],[f1592,f1504]) ).
tff(f1592,plain,
! [X3: tp__ty_2Einteger_2Eint,X4: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X3),X4)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X3,fo__c_2Einteger_2Eint__add(X4,fo__c_2Einteger_2Eint__neg(X5)))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X3),X5))) ),
inference(resolution,[],[f1498,f1449]) ).
tff(f1498,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1))) ),
inference(resolution,[],[f1437,f1451]) ).
tff(f1437,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,fo__c_2Einteger_2Eint__add(X2,X0))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X0)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2))) ),
inference(forward_demodulation,[],[f1436,f667]) ).
tff(f1436,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X0)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X2,X0)))) ),
inference(forward_demodulation,[],[f1431,f667]) ).
tff(f1431,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X0)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X2,X0)))) ),
inference(backward_demodulation,[],[f1420,f667]) ).
tff(f1420,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X2,X0))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))) ),
inference(backward_demodulation,[],[f852,f764]) ).
tff(f852,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X2))) ),
inference(cnf_transformation,[],[f245]) ).
tff(f2555,plain,
( spl11_107
| ~ spl11_105 ),
inference(avatar_split_clause,[],[f2541,f2536,f2552]) ).
tff(f2541,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(sK8))))
| ~ spl11_105 ),
inference(resolution,[],[f2538,f1493]) ).
tff(f2538,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK8)))
| ~ spl11_105 ),
inference(avatar_component_clause,[],[f2536]) ).
tff(f2550,plain,
( spl11_11
| ~ spl11_10
| ~ spl11_52
| ~ spl11_105 ),
inference(avatar_split_clause,[],[f2549,f2536,f1805,f1394,f1399]) ).
tff(f1805,plain,
( spl11_52
<=> ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_52])]) ).
tff(f2549,plain,
( p(c_2Ebool_2EF)
| ~ spl11_10
| ~ spl11_52
| ~ spl11_105 ),
inference(forward_demodulation,[],[f2548,f1396]) ).
tff(f2548,plain,
( p(inj__o(fo__c_2Ebool_2EF))
| ~ spl11_52
| ~ spl11_105 ),
inference(forward_demodulation,[],[f2542,f1807]) ).
tff(f1807,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,sK8) )
| ~ spl11_52 ),
inference(avatar_component_clause,[],[f1805]) ).
tff(f2542,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ spl11_105 ),
inference(resolution,[],[f2538,f1450]) ).
tff(f2547,plain,
( spl11_106
| ~ spl11_105 ),
inference(avatar_split_clause,[],[f2540,f2536,f2544]) ).
tff(f2540,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__neg(fo__c_2Einteger_2Eint__neg(sK8)))))
| ~ spl11_105 ),
inference(resolution,[],[f2538,f1522]) ).
tff(f2539,plain,
( spl11_105
| ~ spl11_19
| ~ spl11_20
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f2531,f1992,f1471,f1465,f2536]) ).
tff(f1992,plain,
( spl11_77
<=> ( c_2Einteger_2Eint__sub = c_2Einteger_2Eint__add ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_77])]) ).
tff(f2531,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK10),sK8)))
| ~ spl11_20
| ~ spl11_77 ),
inference(resolution,[],[f2502,f1472]) ).
tff(f2502,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__sub(X1,X2))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2))) )
| ~ spl11_77 ),
inference(backward_demodulation,[],[f1591,f2498]) ).
tff(f2498,plain,
( ! [X6: tp__ty_2Einteger_2Eint,X7: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X7,fo__c_2Einteger_2Eint__sub(X5,X6))) = inj__o(fo__c_2Einteger_2Eint__divides(X7,fo__c_2Einteger_2Eint__add(X5,X6))) )
| ~ spl11_77 ),
inference(forward_demodulation,[],[f2490,f667]) ).
tff(f2490,plain,
( ! [X6: tp__ty_2Einteger_2Eint,X7: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X7,fo__c_2Einteger_2Eint__add(X5,X6))) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X7)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X5,X6))) )
| ~ spl11_77 ),
inference(superposition,[],[f667,f2467]) ).
tff(f2467,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X1,X0)) = inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,X0)) )
| ~ spl11_77 ),
inference(forward_demodulation,[],[f2460,f789]) ).
tff(f2460,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,X0)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) )
| ~ spl11_77 ),
inference(backward_demodulation,[],[f764,f1994]) ).
tff(f1994,plain,
( ( c_2Einteger_2Eint__sub = c_2Einteger_2Eint__add )
| ~ spl11_77 ),
inference(avatar_component_clause,[],[f1992]) ).
tff(f1591,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1))) ),
inference(resolution,[],[f1498,f1451]) ).
tff(f2527,plain,
( spl11_104
| ~ spl11_22
| ~ spl11_103 ),
inference(avatar_split_clause,[],[f2522,f2453,f1509,f2524]) ).
tff(f2524,plain,
( spl11_104
<=> ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_104])]) ).
tff(f2522,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))) )
| ~ spl11_22
| ~ spl11_103 ),
inference(forward_demodulation,[],[f2520,f1511]) ).
tff(f2520,plain,
( ( fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))) = surj__o(c_2Ebool_2EF) )
| ~ spl11_103 ),
inference(superposition,[],[f854,f2455]) ).
tff(f2455,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) )
| ~ spl11_103 ),
inference(avatar_component_clause,[],[f2453]) ).
tff(f2477,plain,
( spl11_20
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f1747,f1374,f1471]) ).
tff(f1747,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1746,f667]) ).
tff(f1746,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1376,f789]) ).
tff(f1376,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f1374]) ).
tff(f2470,plain,
( spl11_20
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1793,f1416,f1471]) ).
tff(f1793,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1417,f667]) ).
tff(f1417,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f1416]) ).
tff(f2469,plain,
( spl11_73
| ~ spl11_51
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f2468,f1875,f1799,f1962]) ).
tff(f1962,plain,
( spl11_73
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_73])]) ).
tff(f1799,plain,
( spl11_51
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_51])]) ).
tff(f2468,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| ~ spl11_51
| ~ spl11_59 ),
inference(forward_demodulation,[],[f1801,f1877]) ).
tff(f1801,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| ~ spl11_51 ),
inference(avatar_component_clause,[],[f1799]) ).
tff(f2459,plain,
( spl11_20
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f2458,f1374,f1471]) ).
tff(f2458,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f2457,f667]) ).
tff(f2457,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1376,f789]) ).
tff(f2456,plain,
( spl11_103
| ~ spl11_50
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f2451,f1875,f1780,f2453]) ).
tff(f2450,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1749,f1370,f1477]) ).
tff(f1749,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| spl11_5 ),
inference(forward_demodulation,[],[f1371,f667]) ).
tff(f1371,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8)))
| spl11_5 ),
inference(avatar_component_clause,[],[f1370]) ).
tff(f2449,plain,
( spl11_52
| ~ spl11_22
| ~ spl11_48 ),
inference(avatar_split_clause,[],[f2448,f1754,f1509,f1805]) ).
tff(f1754,plain,
( spl11_48
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_48])]) ).
tff(f2448,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,sK8) )
| ~ spl11_22
| ~ spl11_48 ),
inference(forward_demodulation,[],[f1796,f1511]) ).
tff(f1796,plain,
( ( fo__c_2Einteger_2Eint__divides(sK10,sK8) = surj__o(c_2Ebool_2EF) )
| ~ spl11_48 ),
inference(superposition,[],[f854,f1756]) ).
tff(f1756,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)) )
| ~ spl11_48 ),
inference(avatar_component_clause,[],[f1754]) ).
tff(f2447,plain,
( spl11_48
| spl11_21
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f1752,f1530,f1477,f1754]) ).
tff(f1530,plain,
( spl11_24
<=> ! [X1] :
( ~ mem(X1,bool)
| p(X1)
| ( c_2Ebool_2EF = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
tff(f1752,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)) )
| spl11_21
| ~ spl11_24 ),
inference(resolution,[],[f1478,f1724]) ).
tff(f1724,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| ( c_2Ebool_2EF = inj__o(X0) ) )
| ~ spl11_24 ),
inference(resolution,[],[f1531,f262]) ).
tff(f262,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(cnf_transformation,[],[f128]) ).
tff(f128,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X3: tp__o] : mem(inj__o(X3),bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_o) ).
tff(f1531,plain,
( ! [X1: $i] :
( ~ mem(X1,bool)
| p(X1)
| ( c_2Ebool_2EF = X1 ) )
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f1530]) ).
tff(f1478,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| spl11_21 ),
inference(avatar_component_clause,[],[f1477]) ).
tff(f2446,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1789,f1370,f1477]) ).
tff(f1789,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| spl11_5 ),
inference(forward_demodulation,[],[f1371,f667]) ).
tff(f2445,plain,
( spl11_102
| spl11_77
| ~ spl11_15
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f2439,f1459,f1422,f1992,f2442]) ).
tff(f2439,plain,
( ( c_2Einteger_2Eint__sub = c_2Einteger_2Eint__add )
| mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__add),ty_2Einteger_2Eint)
| ~ spl11_15
| ~ spl11_18 ),
inference(resolution,[],[f1580,f1461]) ).
tff(f1580,plain,
( ! [X2: $i] :
( ~ mem(X2,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)))
| mem(sK6(ty_2Einteger_2Eint,X2,c_2Einteger_2Eint__add),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__add = X2 ) )
| ~ spl11_15 ),
inference(resolution,[],[f778,f1424]) ).
tff(f778,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X3,arr(X1,X0))
| ~ mem(X2,arr(X1,X0))
| ( X2 = X3 )
| mem(sK6(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f223]) ).
tff(f223,plain,
! [X0: del,X1: del,X2] :
( ~ mem(X2,arr(X1,X0))
| ! [X3] :
( ~ mem(X3,arr(X1,X0))
| ( mem(sK6(X1,X2,X3),X1)
& ( ap(X3,sK6(X1,X2,X3)) != ap(X2,sK6(X1,X2,X3)) ) )
| ( X2 = X3 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f221,f222]) ).
tff(f222,plain,
! [X1: del,X2,X3] :
( ? [X4] :
( mem(X4,X1)
& ( ap(X3,X4) != ap(X2,X4) ) )
=> ( mem(sK6(X1,X2,X3),X1)
& ( ap(X3,sK6(X1,X2,X3)) != ap(X2,sK6(X1,X2,X3)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f221,plain,
! [X0: del,X1: del,X2] :
( ~ mem(X2,arr(X1,X0))
| ! [X3] :
( ~ mem(X3,arr(X1,X0))
| ? [X4] :
( mem(X4,X1)
& ( ap(X3,X4) != ap(X2,X4) ) )
| ( X2 = X3 ) ) ),
inference(rectify,[],[f164]) ).
tff(f164,plain,
! [X2: del,X0: del,X1] :
( ~ mem(X1,arr(X0,X2))
| ! [X3] :
( ~ mem(X3,arr(X0,X2))
| ? [X4] :
( mem(X4,X0)
& ( ap(X3,X4) != ap(X1,X4) ) )
| ( X1 = X3 ) ) ),
inference(flattening,[],[f163]) ).
tff(f163,plain,
! [X0: del,X1,X2: del] :
( ! [X3] :
( ( X1 = X3 )
| ? [X4] :
( mem(X4,X0)
& ( ap(X3,X4) != ap(X1,X4) ) )
| ~ mem(X3,arr(X0,X2)) )
| ~ mem(X1,arr(X0,X2)) ),
inference(ennf_transformation,[],[f84]) ).
tff(f84,plain,
! [X0: del,X1,X2: del] :
( mem(X1,arr(X0,X2))
=> ! [X3] :
( mem(X3,arr(X0,X2))
=> ( ! [X4] :
( mem(X4,X0)
=> ( ap(X3,X4) = ap(X1,X4) ) )
=> ( X1 = X3 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: del,X2,X1: del] :
( mem(X2,arr(X0,X1))
=> ! [X6] :
( mem(X6,arr(X0,X1))
=> ( ! [X3] :
( mem(X3,X0)
=> ( ap(X2,X3) = ap(X6,X3) ) )
=> ( X2 = X6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext) ).
tff(f2430,plain,
( spl11_82
| spl11_57
| spl11_28
| ~ spl11_24
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f2429,f1551,f1530,f1561,f1867,f2124]) ).
tff(f2124,plain,
( spl11_82
<=> ( c_2Ebool_2EF = sK5(c_2Ebool_2E_7E,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_82])]) ).
tff(f1867,plain,
( spl11_57
<=> ! [X0: tp__o] : p(inj__o(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_57])]) ).
tff(f1561,plain,
( spl11_28
<=> p(sK5(c_2Ebool_2E_7E,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
tff(f1551,plain,
( spl11_26
<=> mem(sK5(c_2Ebool_2E_7E,bool),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
tff(f2429,plain,
( ! [X4: tp__o] :
( p(sK5(c_2Ebool_2E_7E,bool))
| p(inj__o(X4))
| ( c_2Ebool_2EF = sK5(c_2Ebool_2E_7E,bool) ) )
| ~ spl11_24
| ~ spl11_26 ),
inference(forward_subsumption_demodulation,[],[f2393,f1724]) ).
tff(f2393,plain,
( ! [X4: tp__o] :
( p(inj__o(X4))
| p(sK5(c_2Ebool_2E_7E,bool))
| ( sK5(c_2Ebool_2E_7E,bool) = inj__o(X4) ) )
| ~ spl11_26 ),
inference(resolution,[],[f1528,f1553]) ).
tff(f1553,plain,
( mem(sK5(c_2Ebool_2E_7E,bool),bool)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f1551]) ).
tff(f1528,plain,
! [X2: tp__o,X3: $i] :
( ~ mem(X3,bool)
| ( inj__o(X2) = X3 )
| p(X3)
| p(inj__o(X2)) ),
inference(resolution,[],[f775,f262]) ).
tff(f775,plain,
! [X0: $i,X1: $i] :
( ~ mem(X0,bool)
| p(X0)
| ~ mem(X1,bool)
| ( X0 = X1 )
| p(X1) ),
inference(cnf_transformation,[],[f220]) ).
tff(f220,plain,
! [X0] :
( ! [X1] :
( ~ mem(X1,bool)
| ( X0 = X1 )
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0] :
( ! [X1] :
( ~ mem(X1,bool)
| ( X0 = X1 )
| ( p(X0)
<~> p(X1) ) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f148]) ).
tff(f148,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X1)
<=> p(X0) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( ( p(X4)
<=> p(X5) )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).
tff(f2428,plain,
( ~ spl11_28
| spl11_101
| spl11_65
| ~ spl11_26
| ~ spl11_55 ),
inference(avatar_split_clause,[],[f2423,f1858,f1551,f1906,f2425,f1561]) ).
tff(f2425,plain,
( spl11_101
<=> ( c_2Ebool_2ET = sK5(c_2Ebool_2E_7E,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_101])]) ).
tff(f1906,plain,
( spl11_65
<=> ! [X0: tp__o] : ~ p(inj__o(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_65])]) ).
tff(f1858,plain,
( spl11_55
<=> ! [X4: tp__o] :
( ( c_2Ebool_2ET = inj__o(X4) )
| ~ p(inj__o(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_55])]) ).
tff(f2423,plain,
( ! [X4: tp__o] :
( ~ p(inj__o(X4))
| ( c_2Ebool_2ET = sK5(c_2Ebool_2E_7E,bool) )
| ~ p(sK5(c_2Ebool_2E_7E,bool)) )
| ~ spl11_26
| ~ spl11_55 ),
inference(forward_subsumption_demodulation,[],[f2421,f1859]) ).
tff(f1859,plain,
( ! [X4: tp__o] :
( ( c_2Ebool_2ET = inj__o(X4) )
| ~ p(inj__o(X4)) )
| ~ spl11_55 ),
inference(avatar_component_clause,[],[f1858]) ).
tff(f2421,plain,
( ! [X4: tp__o] :
( ~ p(inj__o(X4))
| ( sK5(c_2Ebool_2E_7E,bool) = inj__o(X4) )
| ~ p(sK5(c_2Ebool_2E_7E,bool)) )
| ~ spl11_26 ),
inference(resolution,[],[f1535,f1553]) ).
tff(f1535,plain,
! [X2: $i,X3: tp__o] :
( ~ mem(X2,bool)
| ( inj__o(X3) = X2 )
| ~ p(inj__o(X3))
| ~ p(X2) ),
inference(resolution,[],[f776,f262]) ).
tff(f776,plain,
! [X0: $i,X1: $i] :
( ~ mem(X1,bool)
| ~ p(X0)
| ~ mem(X0,bool)
| ~ p(X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f220]) ).
tff(f2417,plain,
( spl11_97
| spl11_100
| ~ spl11_31 ),
inference(avatar_split_clause,[],[f2398,f1574,f2415,f2400]) ).
tff(f2400,plain,
( spl11_97
<=> p(sK4(c_2Ebool_2E_7E,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_97])]) ).
tff(f2415,plain,
( spl11_100
<=> ! [X2] :
( ~ mem(X2,bool)
| p(X2)
| ( sK4(c_2Ebool_2E_7E,bool) = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_100])]) ).
tff(f1574,plain,
( spl11_31
<=> mem(sK4(c_2Ebool_2E_7E,bool),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
tff(f2398,plain,
( ! [X2: $i] :
( ~ mem(X2,bool)
| p(sK4(c_2Ebool_2E_7E,bool))
| ( sK4(c_2Ebool_2E_7E,bool) = X2 )
| p(X2) )
| ~ spl11_31 ),
inference(resolution,[],[f1576,f775]) ).
tff(f1576,plain,
( mem(sK4(c_2Ebool_2E_7E,bool),bool)
| ~ spl11_31 ),
inference(avatar_component_clause,[],[f1574]) ).
tff(f2413,plain,
( spl11_99
| spl11_57
| spl11_97
| ~ spl11_24
| ~ spl11_31 ),
inference(avatar_split_clause,[],[f2412,f1574,f1530,f2400,f1867,f2408]) ).
tff(f2408,plain,
( spl11_99
<=> ( c_2Ebool_2EF = sK4(c_2Ebool_2E_7E,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_99])]) ).
tff(f2412,plain,
( ! [X0: tp__o] :
( p(sK4(c_2Ebool_2E_7E,bool))
| p(inj__o(X0))
| ( c_2Ebool_2EF = sK4(c_2Ebool_2E_7E,bool) ) )
| ~ spl11_24
| ~ spl11_31 ),
inference(forward_subsumption_demodulation,[],[f2395,f1724]) ).
tff(f2395,plain,
( ! [X0: tp__o] :
( p(sK4(c_2Ebool_2E_7E,bool))
| ( inj__o(X0) = sK4(c_2Ebool_2E_7E,bool) )
| p(inj__o(X0)) )
| ~ spl11_31 ),
inference(resolution,[],[f1576,f1528]) ).
tff(f2411,plain,
( spl11_97
| spl11_99
| ~ spl11_24
| ~ spl11_31 ),
inference(avatar_split_clause,[],[f2396,f1574,f1530,f2408,f2400]) ).
tff(f2396,plain,
( ( c_2Ebool_2EF = sK4(c_2Ebool_2E_7E,bool) )
| p(sK4(c_2Ebool_2E_7E,bool))
| ~ spl11_24
| ~ spl11_31 ),
inference(resolution,[],[f1576,f1531]) ).
tff(f2406,plain,
( ~ spl11_97
| spl11_98
| ~ spl11_31 ),
inference(avatar_split_clause,[],[f2397,f1574,f2404,f2400]) ).
tff(f2404,plain,
( spl11_98
<=> ! [X1] :
( ~ mem(X1,bool)
| ~ p(X1)
| ( sK4(c_2Ebool_2E_7E,bool) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_98])]) ).
tff(f2397,plain,
( ! [X1: $i] :
( ~ mem(X1,bool)
| ~ p(sK4(c_2Ebool_2E_7E,bool))
| ( sK4(c_2Ebool_2E_7E,bool) = X1 )
| ~ p(X1) )
| ~ spl11_31 ),
inference(resolution,[],[f1576,f776]) ).
tff(f2373,plain,
( spl11_11
| ~ spl11_19
| ~ spl11_21
| ~ spl11_10
| ~ spl11_49
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f2372,f1992,f1775,f1394,f1477,f1465,f1399]) ).
tff(f2372,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9)))
| p(c_2Ebool_2EF)
| ~ spl11_10
| ~ spl11_49
| ~ spl11_77 ),
inference(forward_demodulation,[],[f2370,f1396]) ).
tff(f2370,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9)))
| p(inj__o(fo__c_2Ebool_2EF))
| ~ spl11_49
| ~ spl11_77 ),
inference(superposition,[],[f2341,f1777]) ).
tff(f2341,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X1,fo__c_2Einteger_2Eint__sub(X2,X0))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X0)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X1,X2))) )
| ~ spl11_77 ),
inference(backward_demodulation,[],[f1457,f2338]) ).
tff(f2338,plain,
( ! [X6: tp__ty_2Einteger_2Eint,X7: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X7,fo__c_2Einteger_2Eint__sub(X5,X6))) = inj__o(fo__c_2Einteger_2Eint__divides(X7,fo__c_2Einteger_2Eint__add(X5,X6))) )
| ~ spl11_77 ),
inference(forward_demodulation,[],[f2333,f667]) ).
tff(f2333,plain,
( ! [X6: tp__ty_2Einteger_2Eint,X7: tp__ty_2Einteger_2Eint,X5: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X7,fo__c_2Einteger_2Eint__add(X5,X6))) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X7)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X5,X6))) )
| ~ spl11_77 ),
inference(superposition,[],[f667,f2002]) ).
tff(f2002,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X1,X0)) = inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,X0)) )
| ~ spl11_77 ),
inference(forward_demodulation,[],[f2000,f789]) ).
tff(f2000,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X1,X0)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)) )
| ~ spl11_77 ),
inference(backward_demodulation,[],[f764,f1994]) ).
tff(f2367,plain,
( ~ spl11_28
| spl11_30
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f2364,f1551,f1569,f1561]) ).
tff(f1569,plain,
( spl11_30
<=> ! [X0] :
( ~ p(X0)
| ( sK5(c_2Ebool_2E_7E,bool) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
tff(f2364,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ~ p(sK5(c_2Ebool_2E_7E,bool))
| ( sK5(c_2Ebool_2E_7E,bool) = X0 )
| ~ p(X0) )
| ~ spl11_26 ),
inference(resolution,[],[f1553,f776]) ).
tff(f2366,plain,
( spl11_82
| spl11_28
| ~ spl11_24
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f2363,f1551,f1530,f1561,f2124]) ).
tff(f2363,plain,
( p(sK5(c_2Ebool_2E_7E,bool))
| ( c_2Ebool_2EF = sK5(c_2Ebool_2E_7E,bool) )
| ~ spl11_24
| ~ spl11_26 ),
inference(resolution,[],[f1553,f1531]) ).
tff(f2310,plain,
( ~ spl11_96
| spl11_68
| ~ spl11_91 ),
inference(avatar_split_clause,[],[f2307,f2203,f1926,f2298]) ).
tff(f2298,plain,
( spl11_96
<=> ( fo__c_2Ebool_2ET = fo__c_2Ebool_2EF ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_96])]) ).
tff(f1926,plain,
( spl11_68
<=> ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_68])]) ).
tff(f2203,plain,
( spl11_91
<=> ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_91])]) ).
tff(f2307,plain,
( ( fo__c_2Ebool_2ET != fo__c_2Ebool_2EF )
| spl11_68
| ~ spl11_91 ),
inference(backward_demodulation,[],[f1927,f2205]) ).
tff(f2205,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_91 ),
inference(avatar_component_clause,[],[f2203]) ).
tff(f1927,plain,
( ( fo__c_2Ebool_2EF != fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| spl11_68 ),
inference(avatar_component_clause,[],[f1926]) ).
tff(f2301,plain,
( ~ spl11_96
| ~ spl11_23
| ~ spl11_64
| spl11_95 ),
inference(avatar_split_clause,[],[f2296,f2244,f1902,f1514,f2298]) ).
tff(f1514,plain,
( spl11_23
<=> ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
tff(f1902,plain,
( spl11_64
<=> ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_64])]) ).
tff(f2244,plain,
( spl11_95
<=> ( fo__c_2Ebool_2EF = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_95])]) ).
tff(f2296,plain,
( ( fo__c_2Ebool_2ET != fo__c_2Ebool_2EF )
| ~ spl11_23
| ~ spl11_64
| spl11_95 ),
inference(forward_demodulation,[],[f2295,f1516]) ).
tff(f1516,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f1514]) ).
tff(f2295,plain,
( ( fo__c_2Ebool_2EF != surj__o(c_2Ebool_2ET) )
| ~ spl11_64
| spl11_95 ),
inference(forward_demodulation,[],[f2245,f1904]) ).
tff(f1904,plain,
( ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_64 ),
inference(avatar_component_clause,[],[f1902]) ).
tff(f2245,plain,
( ( fo__c_2Ebool_2EF != surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| spl11_95 ),
inference(avatar_component_clause,[],[f2244]) ).
tff(f2291,plain,
( spl11_91
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2290,f1902,f1642,f1514,f2203]) ).
tff(f1642,plain,
( spl11_35
<=> ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
tff(f2290,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(forward_demodulation,[],[f2200,f1516]) ).
tff(f2200,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_35
| ~ spl11_64 ),
inference(forward_demodulation,[],[f1644,f1904]) ).
tff(f1644,plain,
( ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_35 ),
inference(avatar_component_clause,[],[f1642]) ).
tff(f2289,plain,
( ~ spl11_94
| ~ spl11_64
| ~ spl11_71
| spl11_89 ),
inference(avatar_split_clause,[],[f2288,f2178,f1951,f1902,f2230]) ).
tff(f2230,plain,
( spl11_94
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_94])]) ).
tff(f1951,plain,
( spl11_71
<=> ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_71])]) ).
tff(f2178,plain,
( spl11_89
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_89])]) ).
tff(f2288,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_64
| ~ spl11_71
| spl11_89 ),
inference(forward_demodulation,[],[f2287,f1953]) ).
tff(f1953,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_71 ),
inference(avatar_component_clause,[],[f1951]) ).
tff(f2287,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_64
| ~ spl11_71
| spl11_89 ),
inference(forward_demodulation,[],[f2286,f1953]) ).
tff(f2286,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) )
| ~ spl11_64
| spl11_89 ),
inference(forward_demodulation,[],[f2179,f1904]) ).
tff(f2179,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) != ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| spl11_89 ),
inference(avatar_component_clause,[],[f2178]) ).
tff(f2282,plain,
( spl11_91
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2201,f1902,f1642,f1514,f2203]) ).
tff(f2201,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(forward_demodulation,[],[f2200,f1516]) ).
tff(f2281,plain,
( spl11_88
| ~ spl11_37
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2280,f1902,f1652,f2170]) ).
tff(f2170,plain,
( spl11_88
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_88])]) ).
tff(f1652,plain,
( spl11_37
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_37])]) ).
tff(f2280,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) )
| ~ spl11_37
| ~ spl11_64 ),
inference(forward_demodulation,[],[f2279,f1904]) ).
tff(f2279,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_37
| ~ spl11_64 ),
inference(forward_demodulation,[],[f1654,f1904]) ).
tff(f1654,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_37 ),
inference(avatar_component_clause,[],[f1652]) ).
tff(f2278,plain,
( spl11_91
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2277,f1902,f1642,f1514,f2203]) ).
tff(f2277,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(forward_demodulation,[],[f2276,f1516]) ).
tff(f2276,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_35
| ~ spl11_64 ),
inference(forward_demodulation,[],[f1644,f1904]) ).
tff(f2261,plain,
( spl11_58
| ~ spl11_10
| ~ spl11_33
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f2260,f1926,f1629,f1394,f1870]) ).
tff(f1870,plain,
( spl11_58
<=> ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_58])]) ).
tff(f1629,plain,
( spl11_33
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).
tff(f2260,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_10
| ~ spl11_33
| ~ spl11_68 ),
inference(forward_demodulation,[],[f2259,f1396]) ).
tff(f2259,plain,
( ( inj__o(fo__c_2Ebool_2EF) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_33
| ~ spl11_68 ),
inference(forward_demodulation,[],[f1631,f1928]) ).
tff(f1928,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_68 ),
inference(avatar_component_clause,[],[f1926]) ).
tff(f1631,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) )
| ~ spl11_33 ),
inference(avatar_component_clause,[],[f1629]) ).
tff(f2254,plain,
( ~ spl11_94
| ~ spl11_68
| ~ spl11_71
| spl11_88 ),
inference(avatar_split_clause,[],[f2253,f2170,f1951,f1926,f2230]) ).
tff(f2253,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_68
| ~ spl11_71
| spl11_88 ),
inference(forward_demodulation,[],[f2252,f1953]) ).
tff(f2252,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_68
| spl11_88 ),
inference(forward_demodulation,[],[f2171,f1928]) ).
tff(f2171,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) )
| spl11_88 ),
inference(avatar_component_clause,[],[f2170]) ).
tff(f2251,plain,
( ~ spl11_94
| ~ spl11_68
| spl11_90 ),
inference(avatar_split_clause,[],[f2250,f2194,f1926,f2230]) ).
tff(f2194,plain,
( spl11_90
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_90])]) ).
tff(f2250,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_68
| spl11_90 ),
inference(forward_demodulation,[],[f2195,f1928]) ).
tff(f2195,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) )
| spl11_90 ),
inference(avatar_component_clause,[],[f2194]) ).
tff(f2247,plain,
( spl11_95
| ~ spl11_35
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f2242,f1926,f1642,f2244]) ).
tff(f2242,plain,
( ( fo__c_2Ebool_2EF = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_35
| ~ spl11_68 ),
inference(forward_demodulation,[],[f1644,f1928]) ).
tff(f2237,plain,
( spl11_58
| ~ spl11_10
| ~ spl11_71
| ~ spl11_89 ),
inference(avatar_split_clause,[],[f2236,f2178,f1951,f1394,f1870]) ).
tff(f2236,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_10
| ~ spl11_71
| ~ spl11_89 ),
inference(forward_demodulation,[],[f2235,f1396]) ).
tff(f2235,plain,
( ( inj__o(fo__c_2Ebool_2EF) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_71
| ~ spl11_89 ),
inference(forward_demodulation,[],[f2234,f1953]) ).
tff(f2234,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_71
| ~ spl11_89 ),
inference(forward_demodulation,[],[f2180,f1953]) ).
tff(f2180,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_89 ),
inference(avatar_component_clause,[],[f2178]) ).
tff(f2233,plain,
( ~ spl11_94
| ~ spl11_71
| spl11_92 ),
inference(avatar_split_clause,[],[f2227,f2209,f1951,f2230]) ).
tff(f2209,plain,
( spl11_92
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_92])]) ).
tff(f2227,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_71
| spl11_92 ),
inference(backward_demodulation,[],[f2210,f1953]) ).
tff(f2210,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| spl11_92 ),
inference(avatar_component_clause,[],[f2209]) ).
tff(f2224,plain,
( spl11_34
| ~ spl11_67
| ~ spl11_68 ),
inference(avatar_split_clause,[],[f2223,f1926,f1920,f1634]) ).
tff(f1634,plain,
( spl11_34
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
tff(f1920,plain,
( spl11_67
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_67])]) ).
tff(f2223,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_67
| ~ spl11_68 ),
inference(backward_demodulation,[],[f1922,f1928]) ).
tff(f1922,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) )
| ~ spl11_67 ),
inference(avatar_component_clause,[],[f1920]) ).
tff(f2222,plain,
( spl11_93
| ~ spl11_37
| ~ spl11_67 ),
inference(avatar_split_clause,[],[f2217,f1920,f1652,f2219]) ).
tff(f2219,plain,
( spl11_93
<=> ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_93])]) ).
tff(f2217,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_37
| ~ spl11_67 ),
inference(backward_demodulation,[],[f1654,f1922]) ).
tff(f2216,plain,
( spl11_67
| ~ spl11_37
| ~ spl11_58 ),
inference(avatar_split_clause,[],[f1918,f1870,f1652,f1920]) ).
tff(f1918,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) )
| ~ spl11_37
| ~ spl11_58 ),
inference(backward_demodulation,[],[f1654,f1872]) ).
tff(f1872,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_58 ),
inference(avatar_component_clause,[],[f1870]) ).
tff(f2215,plain,
( spl11_71
| ~ spl11_22
| ~ spl11_43
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f2214,f1875,f1696,f1509,f1951]) ).
tff(f1696,plain,
( spl11_43
<=> ( surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_43])]) ).
tff(f2214,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_43
| ~ spl11_59 ),
inference(forward_demodulation,[],[f1940,f1511]) ).
tff(f1940,plain,
( ( surj__o(c_2Ebool_2EF) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_43
| ~ spl11_59 ),
inference(backward_demodulation,[],[f1698,f1877]) ).
tff(f1698,plain,
( ( surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_43 ),
inference(avatar_component_clause,[],[f1696]) ).
tff(f2212,plain,
( spl11_92
| ~ spl11_34
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f2207,f1911,f1634,f2209]) ).
tff(f1911,plain,
( spl11_66
<=> ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_66])]) ).
tff(f2207,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_34
| ~ spl11_66 ),
inference(forward_demodulation,[],[f1636,f1913]) ).
tff(f1913,plain,
( ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl11_66 ),
inference(avatar_component_clause,[],[f1911]) ).
tff(f1636,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f1634]) ).
tff(f2206,plain,
( spl11_91
| ~ spl11_23
| ~ spl11_35
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2201,f1902,f1642,f1514,f2203]) ).
tff(f2199,plain,
( ~ spl11_86
| ~ spl11_64
| spl11_80 ),
inference(avatar_split_clause,[],[f2198,f2082,f1902,f2154]) ).
tff(f2154,plain,
( spl11_86
<=> ( c_2Ebool_2ET = c_2Ebool_2EF ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_86])]) ).
tff(f2082,plain,
( spl11_80
<=> ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_80])]) ).
tff(f2198,plain,
( ( c_2Ebool_2ET != c_2Ebool_2EF )
| ~ spl11_64
| spl11_80 ),
inference(forward_demodulation,[],[f2189,f1904]) ).
tff(f2189,plain,
( ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_64
| spl11_80 ),
inference(backward_demodulation,[],[f2083,f1904]) ).
tff(f2083,plain,
( ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| spl11_80 ),
inference(avatar_component_clause,[],[f2082]) ).
tff(f2197,plain,
( spl11_90
| ~ spl11_33
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2182,f1902,f1629,f2194]) ).
tff(f2182,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) )
| ~ spl11_33
| ~ spl11_64 ),
inference(backward_demodulation,[],[f1631,f1904]) ).
tff(f2192,plain,
( spl11_88
| ~ spl11_37
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2191,f1902,f1652,f2170]) ).
tff(f2191,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) )
| ~ spl11_37
| ~ spl11_64 ),
inference(forward_demodulation,[],[f2184,f1904]) ).
tff(f2184,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_37
| ~ spl11_64 ),
inference(backward_demodulation,[],[f1654,f1904]) ).
tff(f2190,plain,
( ~ spl11_86
| spl11_58
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f2188,f1902,f1870,f2154]) ).
tff(f2188,plain,
( ( c_2Ebool_2ET != c_2Ebool_2EF )
| spl11_58
| ~ spl11_64 ),
inference(backward_demodulation,[],[f1871,f1904]) ).
tff(f1871,plain,
( ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| spl11_58 ),
inference(avatar_component_clause,[],[f1870]) ).
tff(f2181,plain,
( spl11_89
| ~ spl11_41
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f2176,f1911,f1686,f2178]) ).
tff(f1686,plain,
( spl11_41
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_41])]) ).
tff(f2176,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_41
| ~ spl11_66 ),
inference(forward_demodulation,[],[f1688,f1913]) ).
tff(f1688,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl11_41 ),
inference(avatar_component_clause,[],[f1686]) ).
tff(f2173,plain,
( spl11_88
| ~ spl11_66
| ~ spl11_67 ),
inference(avatar_split_clause,[],[f2168,f1920,f1911,f2170]) ).
tff(f2168,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) )
| ~ spl11_66
| ~ spl11_67 ),
inference(forward_demodulation,[],[f1922,f1913]) ).
tff(f2166,plain,
( spl11_64
| spl11_65
| ~ spl11_53
| ~ spl11_55 ),
inference(avatar_split_clause,[],[f1900,f1858,f1850,f1906,f1902]) ).
tff(f1850,plain,
( spl11_53
<=> ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ( inj__o(X0) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_53])]) ).
tff(f1900,plain,
( ! [X0: tp__o] :
( ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ p(inj__o(X0)) )
| ~ spl11_53
| ~ spl11_55 ),
inference(forward_subsumption_demodulation,[],[f1851,f1859]) ).
tff(f1851,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(X0))
| ( inj__o(X0) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) )
| ~ spl11_53 ),
inference(avatar_component_clause,[],[f1850]) ).
tff(f2165,plain,
( spl11_87
| ~ spl11_23
| ~ spl11_43
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f2160,f1911,f1696,f1514,f2162]) ).
tff(f2162,plain,
( spl11_87
<=> ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_87])]) ).
tff(f2160,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_23
| ~ spl11_43
| ~ spl11_66 ),
inference(forward_demodulation,[],[f2159,f1516]) ).
tff(f2159,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_43
| ~ spl11_66 ),
inference(forward_demodulation,[],[f1698,f1913]) ).
tff(f2157,plain,
( ~ spl11_86
| spl11_59
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f2147,f1911,f1875,f2154]) ).
tff(f2147,plain,
( ( c_2Ebool_2ET != c_2Ebool_2EF )
| spl11_59
| ~ spl11_66 ),
inference(backward_demodulation,[],[f1876,f1913]) ).
tff(f1876,plain,
( ( c_2Ebool_2EF != ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| spl11_59 ),
inference(avatar_component_clause,[],[f1875]) ).
tff(f2152,plain,
( ~ spl11_85
| spl11_51
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f2146,f1911,f1799,f2149]) ).
tff(f2149,plain,
( spl11_85
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_85])]) ).
tff(f2146,plain,
( ( c_2Ebool_2ET != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| spl11_51
| ~ spl11_66 ),
inference(backward_demodulation,[],[f1800,f1913]) ).
tff(f1800,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| spl11_51 ),
inference(avatar_component_clause,[],[f1799]) ).
tff(f2139,plain,
( spl11_84
| ~ spl11_24
| ~ spl11_41
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2069,f1906,f1686,f1530,f2136]) ).
tff(f2136,plain,
( spl11_84
<=> ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_84])]) ).
tff(f2069,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl11_24
| ~ spl11_41
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1688,f2014]) ).
tff(f2014,plain,
( ! [X7: tp__o] : ( c_2Ebool_2EF = inj__o(X7) )
| ~ spl11_24
| ~ spl11_65 ),
inference(resolution,[],[f1907,f1724]) ).
tff(f1907,plain,
( ! [X0: tp__o] : ~ p(inj__o(X0))
| ~ spl11_65 ),
inference(avatar_component_clause,[],[f1906]) ).
tff(f2134,plain,
( spl11_83
| ~ spl11_24
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2129,f1906,f1530,f2131]) ).
tff(f2131,plain,
( spl11_83
<=> ( c_2Ebool_2EF = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_83])]) ).
tff(f2129,plain,
( ( c_2Ebool_2EF = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2128,f2014]) ).
tff(f2128,plain,
( ! [X0: tp__o,X1: tp__o] : ( ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_5C_2F(X1,X0)) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2023,f2014]) ).
tff(f2023,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X1,X0)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X1)),c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f790,f2014]) ).
tff(f790,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X1,X0)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X1)),inj__o(X0)) ),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X1,X0)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X1)),inj__o(X0)) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X10: tp__o,X9: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X9,X10)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X9)),inj__o(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_5C_2F) ).
tff(f2127,plain,
( spl11_82
| ~ spl11_24
| ~ spl11_32
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2032,f1906,f1602,f1530,f2124]) ).
tff(f1602,plain,
( spl11_32
<=> ( sK5(c_2Ebool_2E_7E,bool) = inj__o(surj__o(sK5(c_2Ebool_2E_7E,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_32])]) ).
tff(f2032,plain,
( ( c_2Ebool_2EF = sK5(c_2Ebool_2E_7E,bool) )
| ~ spl11_24
| ~ spl11_32
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1604,f2014]) ).
tff(f1604,plain,
( ( sK5(c_2Ebool_2E_7E,bool) = inj__o(surj__o(sK5(c_2Ebool_2E_7E,bool))) )
| ~ spl11_32 ),
inference(avatar_component_clause,[],[f1602]) ).
tff(f2121,plain,
( spl11_59
| ~ spl11_24
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2120,f1906,f1530,f1875]) ).
tff(f2120,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2022,f2014]) ).
tff(f2022,plain,
( ! [X0: tp__o] : ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(X0)) )
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f782,f2014]) ).
tff(f782,plain,
! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X9: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X9)) = ap(c_2Ebool_2E_7E,inj__o(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_7E) ).
tff(f2119,plain,
( spl11_81
| ~ spl11_24
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2114,f1906,f1530,f2116]) ).
tff(f2116,plain,
( spl11_81
<=> ( c_2Ebool_2EF = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_81])]) ).
tff(f2114,plain,
( ( c_2Ebool_2EF = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2113,f2014]) ).
tff(f2113,plain,
( ! [X1: tp__o] : ( c_2Ebool_2EF = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X1)) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2024,f2014]) ).
tff(f2024,plain,
( ! [X0: tp__o,X1: tp__o] : ( ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X1)) = inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) )
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f792,f2014]) ).
tff(f792,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X9: tp__o,X10: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X9,X10)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X9)),inj__o(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Emin_2E_3D_3D_3E) ).
tff(f2110,plain,
( ~ spl11_10
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_73 ),
inference(avatar_split_clause,[],[f2109,f1962,f1906,f1530,f1509,f1394]) ).
tff(f2109,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_73 ),
inference(forward_demodulation,[],[f2108,f1511]) ).
tff(f2108,plain,
( ( c_2Ebool_2EF != inj__o(surj__o(c_2Ebool_2EF)) )
| ~ spl11_24
| ~ spl11_65
| spl11_73 ),
inference(forward_demodulation,[],[f2094,f2025]) ).
tff(f2025,plain,
( ! [X0: tp__o] : ( surj__o(c_2Ebool_2EF) = X0 )
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f854,f2014]) ).
tff(f2094,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(surj__o(c_2Ebool_2EF))) )
| ~ spl11_24
| ~ spl11_65
| spl11_73 ),
inference(backward_demodulation,[],[f1964,f2025]) ).
tff(f1964,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| spl11_73 ),
inference(avatar_component_clause,[],[f1962]) ).
tff(f2107,plain,
( ~ spl11_10
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_70 ),
inference(avatar_split_clause,[],[f2106,f1945,f1906,f1530,f1509,f1394]) ).
tff(f1945,plain,
( spl11_70
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_70])]) ).
tff(f2106,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_70 ),
inference(forward_demodulation,[],[f2097,f1511]) ).
tff(f2097,plain,
( ( c_2Ebool_2EF != inj__o(surj__o(c_2Ebool_2EF)) )
| ~ spl11_24
| ~ spl11_65
| spl11_70 ),
inference(backward_demodulation,[],[f1946,f2025]) ).
tff(f1946,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| spl11_70 ),
inference(avatar_component_clause,[],[f1945]) ).
tff(f2105,plain,
( ~ spl11_10
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_72 ),
inference(avatar_split_clause,[],[f2104,f1957,f1906,f1530,f1509,f1394]) ).
tff(f1957,plain,
( spl11_72
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_72])]) ).
tff(f2104,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_72 ),
inference(forward_demodulation,[],[f2103,f1511]) ).
tff(f2103,plain,
( ( c_2Ebool_2EF != inj__o(surj__o(c_2Ebool_2EF)) )
| ~ spl11_24
| ~ spl11_65
| spl11_72 ),
inference(forward_demodulation,[],[f2098,f2025]) ).
tff(f2098,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(surj__o(c_2Ebool_2EF))) )
| ~ spl11_24
| ~ spl11_65
| spl11_72 ),
inference(backward_demodulation,[],[f1958,f2025]) ).
tff(f1958,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) )
| spl11_72 ),
inference(avatar_component_clause,[],[f1957]) ).
tff(f2102,plain,
( ~ spl11_10
| ~ spl11_22
| ~ spl11_24
| spl11_48
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2101,f1906,f1754,f1530,f1509,f1394]) ).
tff(f2101,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_24
| spl11_48
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2095,f1511]) ).
tff(f2095,plain,
( ( c_2Ebool_2EF != inj__o(surj__o(c_2Ebool_2EF)) )
| ~ spl11_24
| spl11_48
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1755,f2025]) ).
tff(f1755,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)) )
| spl11_48 ),
inference(avatar_component_clause,[],[f1754]) ).
tff(f2100,plain,
( ~ spl11_10
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_69 ),
inference(avatar_split_clause,[],[f2099,f1931,f1906,f1530,f1509,f1394]) ).
tff(f1931,plain,
( spl11_69
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_69])]) ).
tff(f2099,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_24
| ~ spl11_65
| spl11_69 ),
inference(forward_demodulation,[],[f2096,f1511]) ).
tff(f2096,plain,
( ( c_2Ebool_2EF != inj__o(surj__o(c_2Ebool_2EF)) )
| ~ spl11_24
| ~ spl11_65
| spl11_69 ),
inference(backward_demodulation,[],[f1932,f2025]) ).
tff(f1932,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) )
| spl11_69 ),
inference(avatar_component_clause,[],[f1931]) ).
tff(f2089,plain,
( spl11_11
| ~ spl11_21
| ~ spl11_24
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2063,f1906,f1530,f1477,f1399]) ).
tff(f2063,plain,
( p(c_2Ebool_2EF)
| ~ spl11_21
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1479,f2014]) ).
tff(f1479,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f1477]) ).
tff(f2088,plain,
( spl11_11
| ~ spl11_19
| ~ spl11_24
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2062,f1906,f1530,f1465,f1399]) ).
tff(f2062,plain,
( p(c_2Ebool_2EF)
| ~ spl11_19
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1467,f2014]) ).
tff(f1467,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9)))
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f1465]) ).
tff(f2086,plain,
( spl11_58
| ~ spl11_24
| ~ spl11_33
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2064,f1906,f1629,f1530,f1870]) ).
tff(f2064,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_24
| ~ spl11_33
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1631,f2014]) ).
tff(f2085,plain,
( spl11_80
| ~ spl11_24
| ~ spl11_37
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2067,f1906,f1652,f1530,f2082]) ).
tff(f2067,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_24
| ~ spl11_37
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1654,f2014]) ).
tff(f2078,plain,
( spl11_59
| ~ spl11_24
| ~ spl11_34
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2066,f1906,f1634,f1530,f1875]) ).
tff(f2066,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_34
| ~ spl11_65 ),
inference(backward_demodulation,[],[f1636,f2014]) ).
tff(f2076,plain,
( spl11_79
| ~ spl11_24
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2071,f1906,f1530,f2073]) ).
tff(f2073,plain,
( spl11_79
<=> ( c_2Ebool_2EF = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_79])]) ).
tff(f2071,plain,
( ( c_2Ebool_2EF = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2070,f2014]) ).
tff(f2070,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) )
| ~ spl11_24
| ~ spl11_65 ),
inference(forward_demodulation,[],[f2021,f2014]) ).
tff(f2021,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),inj__o(X1)) )
| ~ spl11_24
| ~ spl11_65 ),
inference(backward_demodulation,[],[f695,f2014]) ).
tff(f695,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X9: tp__o,X10: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X9,X10)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X9)),inj__o(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_2F_5C) ).
tff(f2019,plain,
( ~ spl11_4
| ~ spl11_9
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f2015,f1906,f1389,f1365]) ).
tff(f1365,plain,
( spl11_4
<=> p(c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
tff(f1389,plain,
( spl11_9
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
tff(f2015,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl11_9
| ~ spl11_65 ),
inference(superposition,[],[f1907,f1391]) ).
tff(f1391,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f1389]) ).
tff(f2018,plain,
( ~ spl11_21
| ~ spl11_65 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
tff(f2010,plain,
( $false
| ~ spl11_21
| ~ spl11_65 ),
inference(resolution,[],[f1907,f1479]) ).
tff(f2017,plain,
( ~ spl11_19
| ~ spl11_65 ),
inference(avatar_contradiction_clause,[],[f2009]) ).
tff(f2009,plain,
( $false
| ~ spl11_19
| ~ spl11_65 ),
inference(resolution,[],[f1907,f1467]) ).
tff(f2008,plain,
( ~ spl11_78
| spl11_76
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f2003,f1992,f1988,f2005]) ).
tff(f2005,plain,
( spl11_78
<=> mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_78])]) ).
tff(f2003,plain,
( ~ mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__sub,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| spl11_76
| ~ spl11_77 ),
inference(forward_demodulation,[],[f1989,f1994]) ).
tff(f1989,plain,
( ~ mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| spl11_76 ),
inference(avatar_component_clause,[],[f1988]) ).
tff(f1995,plain,
( spl11_76
| spl11_77
| ~ spl11_15
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f1986,f1459,f1422,f1992,f1988]) ).
tff(f1986,plain,
( ( c_2Einteger_2Eint__sub = c_2Einteger_2Eint__add )
| mem(sK6(ty_2Einteger_2Eint,c_2Einteger_2Eint__add,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| ~ spl11_15
| ~ spl11_18 ),
inference(resolution,[],[f1579,f1424]) ).
tff(f1579,plain,
( ! [X1: $i] :
( ~ mem(X1,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)))
| mem(sK6(ty_2Einteger_2Eint,X1,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__sub = X1 ) )
| ~ spl11_18 ),
inference(resolution,[],[f778,f1461]) ).
tff(f1984,plain,
( spl11_74
| spl11_75
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f1975,f1440,f1981,f1977]) ).
tff(f1977,plain,
( spl11_74
<=> ( c_2Einteger_2Eint__divides = c_2Emin_2E_3D(ty_2Einteger_2Eint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_74])]) ).
tff(f1981,plain,
( spl11_75
<=> mem(sK6(ty_2Einteger_2Eint,c_2Emin_2E_3D(ty_2Einteger_2Eint),c_2Einteger_2Eint__divides),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_75])]) ).
tff(f1975,plain,
( mem(sK6(ty_2Einteger_2Eint,c_2Emin_2E_3D(ty_2Einteger_2Eint),c_2Einteger_2Eint__divides),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__divides = c_2Emin_2E_3D(ty_2Einteger_2Eint) )
| ~ spl11_17 ),
inference(resolution,[],[f1578,f268]) ).
tff(f268,plain,
! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X8: del] : mem(c_2Emin_2E_3D(X8),arr(X8,arr(X8,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).
tff(f1578,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)))
| ( c_2Einteger_2Eint__divides = X0 )
| mem(sK6(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__divides),ty_2Einteger_2Eint) )
| ~ spl11_17 ),
inference(resolution,[],[f778,f1442]) ).
tff(f1965,plain,
( ~ spl11_73
| spl11_51
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f1943,f1875,f1799,f1962]) ).
tff(f1943,plain,
( ( c_2Ebool_2EF != inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| spl11_51
| ~ spl11_59 ),
inference(backward_demodulation,[],[f1800,f1877]) ).
tff(f1960,plain,
( spl11_72
| ~ spl11_41
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f1955,f1875,f1686,f1957]) ).
tff(f1955,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) )
| ~ spl11_41
| ~ spl11_59 ),
inference(forward_demodulation,[],[f1938,f1877]) ).
tff(f1938,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) )
| ~ spl11_41
| ~ spl11_59 ),
inference(backward_demodulation,[],[f1688,f1877]) ).
tff(f1954,plain,
( spl11_71
| ~ spl11_22
| ~ spl11_43
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f1949,f1875,f1696,f1509,f1951]) ).
tff(f1949,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_22
| ~ spl11_43
| ~ spl11_59 ),
inference(forward_demodulation,[],[f1940,f1511]) ).
tff(f1948,plain,
( spl11_70
| ~ spl11_34
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f1937,f1875,f1634,f1945]) ).
tff(f1937,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_34
| ~ spl11_59 ),
inference(backward_demodulation,[],[f1636,f1877]) ).
tff(f1934,plain,
( spl11_69
| ~ spl11_33
| ~ spl11_58 ),
inference(avatar_split_clause,[],[f1915,f1870,f1629,f1931]) ).
tff(f1915,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) )
| ~ spl11_33
| ~ spl11_58 ),
inference(backward_demodulation,[],[f1631,f1872]) ).
tff(f1929,plain,
( spl11_68
| ~ spl11_22
| ~ spl11_35
| ~ spl11_58 ),
inference(avatar_split_clause,[],[f1924,f1870,f1642,f1509,f1926]) ).
tff(f1924,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_22
| ~ spl11_35
| ~ spl11_58 ),
inference(forward_demodulation,[],[f1916,f1511]) ).
tff(f1916,plain,
( ( surj__o(c_2Ebool_2EF) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) )
| ~ spl11_35
| ~ spl11_58 ),
inference(backward_demodulation,[],[f1644,f1872]) ).
tff(f1923,plain,
( spl11_67
| ~ spl11_37
| ~ spl11_58 ),
inference(avatar_split_clause,[],[f1918,f1870,f1652,f1920]) ).
tff(f1914,plain,
( spl11_65
| spl11_66
| ~ spl11_54
| ~ spl11_55 ),
inference(avatar_split_clause,[],[f1909,f1858,f1854,f1911,f1906]) ).
tff(f1854,plain,
( spl11_54
<=> ! [X1: tp__o] :
( ~ p(inj__o(X1))
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(X1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_54])]) ).
tff(f1909,plain,
( ! [X1: tp__o] :
( ( c_2Ebool_2ET = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ p(inj__o(X1)) )
| ~ spl11_54
| ~ spl11_55 ),
inference(forward_subsumption_demodulation,[],[f1855,f1859]) ).
tff(f1855,plain,
( ! [X1: tp__o] :
( ~ p(inj__o(X1))
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(X1) ) )
| ~ spl11_54 ),
inference(avatar_component_clause,[],[f1854]) ).
tff(f1908,plain,
( spl11_64
| spl11_65
| ~ spl11_53
| ~ spl11_55 ),
inference(avatar_split_clause,[],[f1900,f1858,f1850,f1906,f1902]) ).
tff(f1899,plain,
( spl11_44
| spl11_59
| ~ spl11_24
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f1738,f1634,f1530,f1875,f1705]) ).
tff(f1705,plain,
( spl11_44
<=> p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_44])]) ).
tff(f1738,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| ~ spl11_24
| ~ spl11_34 ),
inference(superposition,[],[f1724,f1636]) ).
tff(f1898,plain,
( spl11_62
| spl11_63
| spl11_27
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1675,f1384,f1555,f1896,f1892]) ).
tff(f1892,plain,
( spl11_62
<=> mem(sK1(bool,c_2Ebool_2E_7E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_62])]) ).
tff(f1896,plain,
( spl11_63
<=> ! [X0] :
( ~ mem(X0,arr(bool,bool))
| mem(sK0(bool,X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_63])]) ).
tff(f1555,plain,
( spl11_27
<=> ! [X0] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
tff(f1384,plain,
( spl11_8
<=> mem(c_2Ebool_2E_7E,arr(bool,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
tff(f1675,plain,
( ! [X0: $i,X1: $i] :
( p(ap(c_2Ebool_2E_7E,X1))
| ~ mem(X1,bool)
| ~ mem(X0,arr(bool,bool))
| mem(sK1(bool,c_2Ebool_2E_7E),bool)
| mem(sK0(bool,X0),bool) )
| ~ spl11_8 ),
inference(resolution,[],[f704,f1386]) ).
tff(f1386,plain,
( mem(c_2Ebool_2E_7E,arr(bool,bool))
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f1384]) ).
tff(f1890,plain,
( spl11_60
| spl11_27
| spl11_61
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1672,f1384,f1887,f1555,f1884]) ).
tff(f1884,plain,
( spl11_60
<=> ! [X1] :
( ~ mem(X1,arr(bool,bool))
| mem(sK1(bool,X1),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_60])]) ).
tff(f1887,plain,
( spl11_61
<=> mem(sK0(bool,c_2Ebool_2E_7E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_61])]) ).
tff(f1672,plain,
( ! [X0: $i,X1: $i] :
( mem(sK0(bool,c_2Ebool_2E_7E),bool)
| p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X1,arr(bool,bool))
| mem(sK1(bool,X1),bool)
| ~ mem(X0,bool) )
| ~ spl11_8 ),
inference(resolution,[],[f700,f1386]) ).
tff(f1882,plain,
( spl11_58
| spl11_38
| ~ spl11_24
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f1722,f1647,f1530,f1661,f1870]) ).
tff(f1661,plain,
( spl11_38
<=> p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_38])]) ).
tff(f1647,plain,
( spl11_36
<=> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
tff(f1722,plain,
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl11_24
| ~ spl11_36 ),
inference(resolution,[],[f1531,f1649]) ).
tff(f1649,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool)
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f1647]) ).
tff(f1881,plain,
( spl11_38
| spl11_58
| ~ spl11_24
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f1737,f1629,f1530,f1870,f1661]) ).
tff(f1737,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| ~ spl11_24
| ~ spl11_33 ),
inference(superposition,[],[f1724,f1631]) ).
tff(f1880,plain,
( spl11_57
| spl11_59
| spl11_44
| ~ spl11_24
| ~ spl11_42 ),
inference(avatar_split_clause,[],[f1879,f1691,f1530,f1705,f1875,f1867]) ).
tff(f1691,plain,
( spl11_42
<=> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_42])]) ).
tff(f1879,plain,
( ! [X1: tp__o] :
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| p(inj__o(X1)) )
| ~ spl11_24
| ~ spl11_42 ),
inference(forward_subsumption_demodulation,[],[f1839,f1724]) ).
tff(f1839,plain,
( ! [X1: tp__o] :
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| p(inj__o(X1))
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(X1) ) )
| ~ spl11_42 ),
inference(resolution,[],[f1528,f1693]) ).
tff(f1693,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool)
| ~ spl11_42 ),
inference(avatar_component_clause,[],[f1691]) ).
tff(f1878,plain,
( spl11_44
| spl11_59
| ~ spl11_24
| ~ spl11_42 ),
inference(avatar_split_clause,[],[f1723,f1691,f1530,f1875,f1705]) ).
tff(f1723,plain,
( ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| ~ spl11_24
| ~ spl11_42 ),
inference(resolution,[],[f1531,f1693]) ).
tff(f1873,plain,
( spl11_57
| spl11_58
| spl11_38
| ~ spl11_24
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f1865,f1647,f1530,f1661,f1870,f1867]) ).
tff(f1865,plain,
( ! [X0: tp__o] :
( p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| ( c_2Ebool_2EF = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| p(inj__o(X0)) )
| ~ spl11_24
| ~ spl11_36 ),
inference(forward_subsumption_demodulation,[],[f1838,f1724]) ).
tff(f1838,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| ( inj__o(X0) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_36 ),
inference(resolution,[],[f1528,f1649]) ).
tff(f1864,plain,
( spl11_56
| spl11_27
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1609,f1384,f1555,f1862]) ).
tff(f1862,plain,
( spl11_56
<=> ! [X0] :
( mem(sK2(bool,X0,c_2Ebool_2E_7E),bool)
| ~ mem(X0,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_56])]) ).
tff(f1609,plain,
( ! [X0: $i,X1: $i] :
( p(ap(c_2Ebool_2E_7E,X1))
| ~ mem(X1,bool)
| mem(sK2(bool,X0,c_2Ebool_2E_7E),bool)
| ~ mem(X0,arr(bool,bool)) )
| ~ spl11_8 ),
inference(resolution,[],[f697,f1386]) ).
tff(f697,plain,
! [X2: $i,X0: del,X1: $i,X7: $i] :
( ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| p(ap(X2,X7))
| mem(sK2(X0,X1,X2),X0)
| ~ mem(X7,X0) ),
inference(cnf_transformation,[],[f202]) ).
tff(f1860,plain,
( ~ spl11_4
| spl11_55
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f1847,f1355,f1858,f1365]) ).
tff(f1355,plain,
( spl11_2
<=> mem(c_2Ebool_2ET,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
tff(f1847,plain,
( ! [X4: tp__o] :
( ( c_2Ebool_2ET = inj__o(X4) )
| ~ p(c_2Ebool_2ET)
| ~ p(inj__o(X4)) )
| ~ spl11_2 ),
inference(resolution,[],[f1535,f1357]) ).
tff(f1357,plain,
( mem(c_2Ebool_2ET,bool)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f1355]) ).
tff(f1856,plain,
( ~ spl11_44
| spl11_54
| ~ spl11_42 ),
inference(avatar_split_clause,[],[f1845,f1691,f1854,f1705]) ).
tff(f1845,plain,
( ! [X1: tp__o] :
( ~ p(inj__o(X1))
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(X1) )
| ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl11_42 ),
inference(resolution,[],[f1535,f1693]) ).
tff(f1852,plain,
( spl11_53
| ~ spl11_38
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f1844,f1647,f1661,f1850]) ).
tff(f1844,plain,
( ! [X0: tp__o] :
( ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| ~ p(inj__o(X0))
| ( inj__o(X0) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) )
| ~ spl11_36 ),
inference(resolution,[],[f1535,f1649]) ).
tff(f1813,plain,
( spl11_21
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f1475,f1370,f1477]) ).
tff(f1475,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| ~ spl11_5 ),
inference(forward_demodulation,[],[f1372,f667]) ).
tff(f1810,plain,
( spl11_21
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f1809,f1370,f1477]) ).
tff(f1808,plain,
( spl11_52
| ~ spl11_22
| ~ spl11_48 ),
inference(avatar_split_clause,[],[f1803,f1754,f1509,f1805]) ).
tff(f1803,plain,
( ( fo__c_2Ebool_2EF = fo__c_2Einteger_2Eint__divides(sK10,sK8) )
| ~ spl11_22
| ~ spl11_48 ),
inference(forward_demodulation,[],[f1796,f1511]) ).
tff(f1802,plain,
( spl11_51
| ~ spl11_48 ),
inference(avatar_split_clause,[],[f1795,f1754,f1799]) ).
tff(f1795,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,sK8))) )
| ~ spl11_48 ),
inference(superposition,[],[f782,f1756]) ).
tff(f1790,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1789,f1370,f1477]) ).
tff(f1788,plain,
( spl11_20
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f1787,f1374,f1471]) ).
tff(f1787,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1786,f667]) ).
tff(f1786,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1376,f789]) ).
tff(f1785,plain,
( spl11_48
| spl11_21
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f1752,f1530,f1477,f1754]) ).
tff(f1784,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1749,f1370,f1477]) ).
tff(f1783,plain,
( spl11_50
| ~ spl11_47 ),
inference(avatar_split_clause,[],[f1770,f1740,f1780]) ).
tff(f1770,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9)))) )
| ~ spl11_47 ),
inference(superposition,[],[f782,f1742]) ).
tff(f1778,plain,
( spl11_49
| ~ spl11_22
| ~ spl11_47 ),
inference(avatar_split_clause,[],[f1773,f1740,f1509,f1775]) ).
tff(f1763,plain,
( spl11_21
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f1475,f1370,f1477]) ).
tff(f1760,plain,
( ~ spl11_20
| spl11_6 ),
inference(avatar_split_clause,[],[f1759,f1374,f1471]) ).
tff(f1757,plain,
( spl11_48
| spl11_21
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f1752,f1530,f1477,f1754]) ).
tff(f1751,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1484,f1370,f1477]) ).
tff(f1484,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK8)))
| spl11_5 ),
inference(forward_demodulation,[],[f1371,f667]) ).
tff(f1750,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1749,f1370,f1477]) ).
tff(f1748,plain,
( spl11_20
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f1747,f1374,f1471]) ).
tff(f1745,plain,
( spl11_20
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1744,f1416,f1471]) ).
tff(f1744,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1417,f667]) ).
tff(f1743,plain,
( spl11_47
| spl11_20
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f1727,f1530,f1471,f1740]) ).
tff(f1727,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))) )
| spl11_20
| ~ spl11_24 ),
inference(resolution,[],[f1724,f1473]) ).
tff(f1473,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_20 ),
inference(avatar_component_clause,[],[f1471]) ).
tff(f1715,plain,
( spl11_44
| spl11_46
| ~ spl11_42 ),
inference(avatar_split_clause,[],[f1703,f1691,f1713,f1705]) ).
tff(f1713,plain,
( spl11_46
<=> ! [X1] :
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = X1 )
| ~ mem(X1,bool)
| p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_46])]) ).
tff(f1703,plain,
( ! [X1: $i] :
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = X1 )
| p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))
| p(X1)
| ~ mem(X1,bool) )
| ~ spl11_42 ),
inference(resolution,[],[f1693,f775]) ).
tff(f1711,plain,
( ~ spl11_44
| spl11_45
| ~ spl11_42 ),
inference(avatar_split_clause,[],[f1702,f1691,f1709,f1705]) ).
tff(f1709,plain,
( spl11_45
<=> ! [X0] :
( ~ p(X0)
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_45])]) ).
tff(f1702,plain,
( ! [X0: $i] :
( ~ p(X0)
| ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = X0 )
| ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl11_42 ),
inference(resolution,[],[f1693,f776]) ).
tff(f1699,plain,
( spl11_43
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f1683,f1634,f1696]) ).
tff(f1683,plain,
( ( surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) = fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF) )
| ~ spl11_34 ),
inference(superposition,[],[f854,f1636]) ).
tff(f1694,plain,
( spl11_42
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f1684,f1634,f1691]) ).
tff(f1684,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool)
| ~ spl11_34 ),
inference(superposition,[],[f262,f1636]) ).
tff(f1689,plain,
( spl11_41
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f1682,f1634,f1686]) ).
tff(f1682,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2EF)) )
| ~ spl11_34 ),
inference(superposition,[],[f782,f1636]) ).
tff(f1681,plain,
( ~ spl11_2
| ~ spl11_27
| spl11_38 ),
inference(avatar_split_clause,[],[f1680,f1661,f1555,f1355]) ).
tff(f1680,plain,
( ~ mem(c_2Ebool_2ET,bool)
| ~ spl11_27
| spl11_38 ),
inference(resolution,[],[f1662,f1556]) ).
tff(f1556,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) )
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f1555]) ).
tff(f1662,plain,
( ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
| spl11_38 ),
inference(avatar_component_clause,[],[f1661]) ).
tff(f1671,plain,
( ~ spl11_38
| spl11_40
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f1657,f1647,f1669,f1661]) ).
tff(f1669,plain,
( spl11_40
<=> ! [X0] :
( ~ p(X0)
| ~ mem(X0,bool)
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_40])]) ).
tff(f1657,plain,
( ! [X0: $i] :
( ~ p(X0)
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = X0 )
| ~ mem(X0,bool)
| ~ p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_36 ),
inference(resolution,[],[f1649,f776]) ).
tff(f1667,plain,
( spl11_38
| spl11_39
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f1658,f1647,f1665,f1661]) ).
tff(f1665,plain,
( spl11_39
<=> ! [X1] :
( p(X1)
| ~ mem(X1,bool)
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_39])]) ).
tff(f1658,plain,
( ! [X1: $i] :
( p(X1)
| ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = X1 )
| ~ mem(X1,bool)
| p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_36 ),
inference(resolution,[],[f1649,f775]) ).
tff(f1655,plain,
( spl11_37
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f1638,f1629,f1652]) ).
tff(f1638,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET))) = ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_33 ),
inference(superposition,[],[f782,f1631]) ).
tff(f1650,plain,
( spl11_36
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f1640,f1629,f1647]) ).
tff(f1640,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool)
| ~ spl11_33 ),
inference(superposition,[],[f262,f1631]) ).
tff(f1645,plain,
( spl11_35
| ~ spl11_33 ),
inference(avatar_split_clause,[],[f1639,f1629,f1642]) ).
tff(f1639,plain,
( ( fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET) = surj__o(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) )
| ~ spl11_33 ),
inference(superposition,[],[f854,f1631]) ).
tff(f1637,plain,
( spl11_34
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f1626,f1394,f1634]) ).
tff(f1626,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2EF) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) )
| ~ spl11_10 ),
inference(superposition,[],[f782,f1396]) ).
tff(f1632,plain,
( spl11_33
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f1625,f1389,f1629]) ).
tff(f1625,plain,
( ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) )
| ~ spl11_9 ),
inference(superposition,[],[f782,f1391]) ).
tff(f1605,plain,
( spl11_32
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f1598,f1551,f1602]) ).
tff(f1598,plain,
( ( sK5(c_2Ebool_2E_7E,bool) = inj__o(surj__o(sK5(c_2Ebool_2E_7E,bool))) )
| ~ spl11_26 ),
inference(resolution,[],[f616,f1553]) ).
tff(f616,plain,
! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(surj__o(X0)) = X0 ) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0] :
( ~ mem(X0,bool)
| ( inj__o(surj__o(X0)) = X0 ) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0] :
( mem(X0,bool)
=> ( inj__o(surj__o(X0)) = X0 ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3] :
( mem(X3,bool)
=> ( inj__o(surj__o(X3)) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_o) ).
tff(f1577,plain,
( spl11_31
| spl11_27
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1572,f1384,f1555,f1574]) ).
tff(f1572,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(sK4(c_2Ebool_2E_7E,bool),bool)
| p(ap(c_2Ebool_2E_7E,X0)) )
| ~ spl11_8 ),
inference(resolution,[],[f773,f1386]) ).
tff(f773,plain,
! [X3: $i,X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| p(ap(X0,X3))
| mem(sK4(X0,X1),X1)
| ~ mem(X3,X1) ),
inference(cnf_transformation,[],[f219]) ).
tff(f219,plain,
! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ( ( mem(sK4(X0,X1),X1)
& ~ p(ap(X0,sK4(X0,X1))) )
| ! [X3] :
( p(ap(X0,X3))
| ~ mem(X3,X1) ) )
& ( ( ~ p(ap(X0,sK5(X0,X1)))
& mem(sK5(X0,X1),X1) )
| ! [X5] :
( ~ mem(X5,X1)
| p(ap(X0,X5)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f216,f218,f217]) ).
tff(f217,plain,
! [X0,X1: del] :
( ? [X2] :
( mem(X2,X1)
& ~ p(ap(X0,X2)) )
=> ( mem(sK4(X0,X1),X1)
& ~ p(ap(X0,sK4(X0,X1))) ) ),
introduced(choice_axiom,[]) ).
tff(f218,plain,
! [X0,X1: del] :
( ? [X4] :
( ~ p(ap(X0,X4))
& mem(X4,X1) )
=> ( ~ p(ap(X0,sK5(X0,X1)))
& mem(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f216,plain,
! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| ( ( ? [X2] :
( mem(X2,X1)
& ~ p(ap(X0,X2)) )
| ! [X3] :
( p(ap(X0,X3))
| ~ mem(X3,X1) ) )
& ( ? [X4] :
( ~ p(ap(X0,X4))
& mem(X4,X1) )
| ! [X5] :
( ~ mem(X5,X1)
| p(ap(X0,X5)) ) ) ) ),
inference(rectify,[],[f215]) ).
tff(f215,plain,
! [X1,X0: del] :
( ~ mem(X1,arr(X0,bool))
| ( ( ? [X2] :
( mem(X2,X0)
& ~ p(ap(X1,X2)) )
| ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) ) )
& ( ? [X3] :
( ~ p(ap(X1,X3))
& mem(X3,X0) )
| ! [X2] :
( ~ mem(X2,X0)
| p(ap(X1,X2)) ) ) ) ),
inference(nnf_transformation,[],[f158]) ).
tff(f158,plain,
! [X1,X0: del] :
( ~ mem(X1,arr(X0,bool))
| ( ? [X2] :
( mem(X2,X0)
& ~ p(ap(X1,X2)) )
<=> ? [X3] :
( ~ p(ap(X1,X3))
& mem(X3,X0) ) ) ),
inference(ennf_transformation,[],[f127]) ).
tff(f127,plain,
! [X1,X0: del] :
( mem(X1,arr(X0,bool))
=> ( ~ ! [X3] :
( mem(X3,X0)
=> p(ap(X1,X3)) )
<=> ? [X2] :
( mem(X2,X0)
& ~ p(ap(X1,X2)) ) ) ),
inference(rectify,[],[f51]) ).
tff(f51,axiom,
! [X8: del,X14] :
( mem(X14,arr(X8,bool))
=> ( ? [X16] :
( ~ p(ap(X14,X16))
& mem(X16,X8) )
<=> ~ ! [X15] :
( mem(X15,X8)
=> p(ap(X14,X15)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ENOT__FORALL__THM) ).
tff(f1571,plain,
( spl11_30
| ~ spl11_28
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f1558,f1551,f1561,f1569]) ).
tff(f1558,plain,
( ! [X0: $i] :
( ~ p(sK5(c_2Ebool_2E_7E,bool))
| ~ p(X0)
| ~ mem(X0,bool)
| ( sK5(c_2Ebool_2E_7E,bool) = X0 ) )
| ~ spl11_26 ),
inference(resolution,[],[f1553,f776]) ).
tff(f1567,plain,
( spl11_28
| spl11_29
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f1559,f1551,f1565,f1561]) ).
tff(f1565,plain,
( spl11_29
<=> ! [X1] :
( p(X1)
| ~ mem(X1,bool)
| ( sK5(c_2Ebool_2E_7E,bool) = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
tff(f1559,plain,
( ! [X1: $i] :
( p(X1)
| ( sK5(c_2Ebool_2E_7E,bool) = X1 )
| p(sK5(c_2Ebool_2E_7E,bool))
| ~ mem(X1,bool) )
| ~ spl11_26 ),
inference(resolution,[],[f1553,f775]) ).
tff(f1557,plain,
( spl11_26
| spl11_27
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1549,f1384,f1555,f1551]) ).
tff(f1549,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool)
| mem(sK5(c_2Ebool_2E_7E,bool),bool) )
| ~ spl11_8 ),
inference(resolution,[],[f770,f1386]) ).
tff(f770,plain,
! [X0: $i,X1: del,X5: $i] :
( ~ mem(X0,arr(X1,bool))
| mem(sK5(X0,X1),X1)
| p(ap(X0,X5))
| ~ mem(X5,X1) ),
inference(cnf_transformation,[],[f219]) ).
tff(f1539,plain,
( ~ spl11_4
| spl11_25
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f1533,f1355,f1537,f1365]) ).
tff(f1537,plain,
( spl11_25
<=> ! [X0] :
( ~ mem(X0,bool)
| ~ p(X0)
| ( c_2Ebool_2ET = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
tff(f1533,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( c_2Ebool_2ET = X0 )
| ~ p(c_2Ebool_2ET)
| ~ p(X0) )
| ~ spl11_2 ),
inference(resolution,[],[f776,f1357]) ).
tff(f1532,plain,
( spl11_24
| spl11_11
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f1527,f1379,f1399,f1530]) ).
tff(f1379,plain,
( spl11_7
<=> mem(c_2Ebool_2EF,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
tff(f1527,plain,
( ! [X1: $i] :
( p(c_2Ebool_2EF)
| ~ mem(X1,bool)
| ( c_2Ebool_2EF = X1 )
| p(X1) )
| ~ spl11_7 ),
inference(resolution,[],[f775,f1381]) ).
tff(f1381,plain,
( mem(c_2Ebool_2EF,bool)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f1379]) ).
tff(f1517,plain,
( spl11_23
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f1506,f1389,f1514]) ).
tff(f1506,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl11_9 ),
inference(superposition,[],[f854,f1391]) ).
tff(f1512,plain,
( spl11_22
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f1507,f1394,f1509]) ).
tff(f1507,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl11_10 ),
inference(superposition,[],[f854,f1396]) ).
tff(f1489,plain,
( spl11_21
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f1475,f1370,f1477]) ).
tff(f1488,plain,
( spl11_20
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f1487,f1374,f1471]) ).
tff(f1487,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1486,f667]) ).
tff(f1486,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1376,f789]) ).
tff(f1485,plain,
( ~ spl11_21
| spl11_5 ),
inference(avatar_split_clause,[],[f1484,f1370,f1477]) ).
tff(f1483,plain,
( ~ spl11_20
| spl11_6 ),
inference(avatar_split_clause,[],[f1482,f1374,f1471]) ).
tff(f1482,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_6 ),
inference(forward_demodulation,[],[f1481,f667]) ).
tff(f1481,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| spl11_6 ),
inference(forward_demodulation,[],[f1375,f789]) ).
tff(f1480,plain,
( spl11_21
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f1475,f1370,f1477]) ).
tff(f1474,plain,
( ~ spl11_20
| spl11_14 ),
inference(avatar_split_clause,[],[f1469,f1416,f1471]) ).
tff(f1468,plain,
( spl11_19
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f1463,f1404,f1465]) ).
tff(f1404,plain,
( spl11_12
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
tff(f1463,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK10,sK9)))
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1406,f667]) ).
tff(f1406,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK9)))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f1404]) ).
tff(f1462,plain,
spl11_18,
inference(avatar_split_clause,[],[f269,f1459]) ).
tff(f269,plain,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__sub) ).
tff(f1443,plain,
spl11_17,
inference(avatar_split_clause,[],[f261,f1440]) ).
tff(f261,plain,
mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__divides) ).
tff(f1430,plain,
spl11_16,
inference(avatar_split_clause,[],[f270,f1427]) ).
tff(f1427,plain,
( spl11_16
<=> mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
tff(f270,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f34]) ).
tff(f34,axiom,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
tff(f1425,plain,
spl11_15,
inference(avatar_split_clause,[],[f785,f1422]) ).
tff(f785,plain,
mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__add) ).
tff(f1419,plain,
( ~ spl11_5
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1414,f1416,f1370]) ).
tff(f1414,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK8,sK9))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) ),
inference(forward_demodulation,[],[f801,f789]) ).
tff(f801,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9)))) ),
inference(cnf_transformation,[],[f239]) ).
tff(f239,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK9)))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f237,f238]) ).
tff(f238,plain,
( ? [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))) ) )
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK9)))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f237,plain,
? [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0))) ) ),
inference(rectify,[],[f236]) ).
tff(f236,plain,
? [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0)))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(flattening,[],[f235]) ).
tff(f235,plain,
? [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0)))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(nnf_transformation,[],[f150]) ).
tff(f150,plain,
? [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0)))
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))
<~> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0)))) ) ),
inference(ennf_transformation,[],[f96]) ).
tff(f96,plain,
~ ! [X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X0)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X1)),inj__ty_2Einteger_2Eint(X0))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(rectify,[],[f70]) ).
tff(f70,negated_conjecture,
~ ! [X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint,X25: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X27)),inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X27))) ) ),
inference(negated_conjecture,[],[f69]) ).
tff(f69,conjecture,
! [X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint,X25: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X27)),inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X27))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(f1412,plain,
spl11_13,
inference(avatar_split_clause,[],[f717,f1409]) ).
tff(f1409,plain,
( spl11_13
<=> mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
tff(f717,plain,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
tff(f1407,plain,
spl11_12,
inference(avatar_split_clause,[],[f802,f1404]) ).
tff(f802,plain,
p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK9))),
inference(cnf_transformation,[],[f239]) ).
tff(f1402,plain,
~ spl11_11,
inference(avatar_split_clause,[],[f709,f1399]) ).
tff(f709,plain,
~ p(c_2Ebool_2EF),
inference(cnf_transformation,[],[f27]) ).
tff(f27,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).
tff(f1397,plain,
spl11_10,
inference(avatar_split_clause,[],[f781,f1394]) ).
tff(f781,plain,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
inference(cnf_transformation,[],[f26]) ).
tff(f26,axiom,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2EF) ).
tff(f1392,plain,
spl11_9,
inference(avatar_split_clause,[],[f682,f1389]) ).
tff(f682,plain,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2ET) ).
tff(f1387,plain,
spl11_8,
inference(avatar_split_clause,[],[f863,f1384]) ).
tff(f863,plain,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
inference(cnf_transformation,[],[f37]) ).
tff(f37,axiom,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
tff(f1382,plain,
spl11_7,
inference(avatar_split_clause,[],[f669,f1379]) ).
tff(f669,plain,
mem(c_2Ebool_2EF,bool),
inference(cnf_transformation,[],[f25]) ).
tff(f25,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
tff(f1377,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f800,f1374,f1370]) ).
tff(f800,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK8)),inj__ty_2Einteger_2Eint(sK9))))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK10)),inj__ty_2Einteger_2Eint(sK8))) ),
inference(cnf_transformation,[],[f239]) ).
tff(f1368,plain,
spl11_4,
inference(avatar_split_clause,[],[f766,f1365]) ).
tff(f766,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
tff(f1363,plain,
spl11_3,
inference(avatar_split_clause,[],[f774,f1360]) ).
tff(f1360,plain,
( spl11_3
<=> mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
tff(f774,plain,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f31]) ).
tff(f31,axiom,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_5C_2F) ).
tff(f1358,plain,
spl11_2,
inference(avatar_split_clause,[],[f666,f1355]) ).
tff(f666,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
tff(f1353,plain,
spl11_1,
inference(avatar_split_clause,[],[f668,f1350]) ).
tff(f668,plain,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__neg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP012_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 23:46:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.49 % (4432)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.49 % (4424)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.51 % (4424)Instruction limit reached!
% 0.22/0.51 % (4424)------------------------------
% 0.22/0.51 % (4424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (4424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (4424)Termination reason: Unknown
% 0.22/0.51 % (4424)Termination phase: Property scanning
% 0.22/0.51
% 0.22/0.51 % (4424)Memory used [KB]: 1151
% 0.22/0.51 % (4424)Time elapsed: 0.008 s
% 0.22/0.51 % (4424)Instructions burned: 8 (million)
% 0.22/0.51 % (4424)------------------------------
% 0.22/0.51 % (4424)------------------------------
% 0.22/0.51 % (4421)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (4422)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.52 % (4417)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.52 % (4437)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.53 % (4429)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.53 % (4441)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.53 % (4419)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.53 % (4445)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.54 % (4442)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.54 % (4439)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.54 % (4446)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.22/0.54 % (4418)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54 % (4444)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.54 % (4431)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.54 % (4420)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.54 % (4428)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.54 % (4435)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.55 % (4434)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.55 % (4440)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.55 % (4443)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.55 % (4438)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.55 % (4436)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.55 % (4425)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.55 % (4425)Instruction limit reached!
% 0.22/0.55 % (4425)------------------------------
% 0.22/0.55 % (4425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (4425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (4425)Termination reason: Unknown
% 0.22/0.55 % (4425)Termination phase: Preprocessing 3
% 0.22/0.55
% 0.22/0.55 % (4425)Memory used [KB]: 1023
% 0.22/0.55 % (4425)Time elapsed: 0.003 s
% 0.22/0.55 % (4425)Instructions burned: 3 (million)
% 0.22/0.55 % (4425)------------------------------
% 0.22/0.55 % (4425)------------------------------
% 0.22/0.55 % (4430)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55 % (4426)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.55 % (4427)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.56 % (4423)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.57 % (4433)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.59 % (4419)Instruction limit reached!
% 1.62/0.59 % (4419)------------------------------
% 1.62/0.59 % (4419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (4419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (4419)Termination reason: Unknown
% 1.62/0.59 % (4419)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (4419)Memory used [KB]: 1407
% 1.62/0.59 % (4419)Time elapsed: 0.178 s
% 1.62/0.59 % (4419)Instructions burned: 37 (million)
% 1.62/0.59 % (4419)------------------------------
% 1.62/0.59 % (4419)------------------------------
% 1.62/0.60 % (4421)Instruction limit reached!
% 1.62/0.60 % (4421)------------------------------
% 1.62/0.60 % (4421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.60 % (4421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (4421)Termination reason: Unknown
% 1.62/0.60 % (4421)Termination phase: Saturation
% 1.62/0.60
% 1.62/0.60 % (4421)Memory used [KB]: 6396
% 1.62/0.60 % (4421)Time elapsed: 0.193 s
% 1.62/0.60 % (4421)Instructions burned: 51 (million)
% 1.62/0.60 % (4421)------------------------------
% 1.62/0.60 % (4421)------------------------------
% 1.62/0.60 % (4432)Instruction limit reached!
% 1.62/0.60 % (4432)------------------------------
% 1.62/0.60 % (4432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.60 % (4432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (4432)Termination reason: Unknown
% 1.62/0.60 % (4432)Termination phase: Saturation
% 1.62/0.60
% 1.62/0.60 % (4432)Memory used [KB]: 2046
% 1.62/0.60 % (4432)Time elapsed: 0.168 s
% 1.62/0.60 % (4432)Instructions burned: 75 (million)
% 1.62/0.60 % (4432)------------------------------
% 1.62/0.60 % (4432)------------------------------
% 2.01/0.62 % (4418)Instruction limit reached!
% 2.01/0.62 % (4418)------------------------------
% 2.01/0.62 % (4418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (4418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (4418)Termination reason: Unknown
% 2.01/0.62 % (4418)Termination phase: Saturation
% 2.01/0.62
% 2.01/0.62 % (4418)Memory used [KB]: 6396
% 2.01/0.62 % (4418)Time elapsed: 0.207 s
% 2.01/0.62 % (4418)Instructions burned: 50 (million)
% 2.01/0.62 % (4418)------------------------------
% 2.01/0.62 % (4418)------------------------------
% 2.01/0.62 % (4423)Instruction limit reached!
% 2.01/0.62 % (4423)------------------------------
% 2.01/0.62 % (4423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (4423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (4423)Termination reason: Unknown
% 2.01/0.62 % (4423)Termination phase: Finite model building preprocessing
% 2.01/0.62
% 2.01/0.62 % (4423)Memory used [KB]: 7036
% 2.01/0.62 % (4423)Time elapsed: 0.025 s
% 2.01/0.62 % (4423)Instructions burned: 51 (million)
% 2.01/0.62 % (4423)------------------------------
% 2.01/0.62 % (4423)------------------------------
% 2.01/0.63 % (4420)Instruction limit reached!
% 2.01/0.63 % (4420)------------------------------
% 2.01/0.63 % (4420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (4420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (4420)Termination reason: Unknown
% 2.01/0.63 % (4420)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (4420)Memory used [KB]: 6652
% 2.01/0.63 % (4420)Time elapsed: 0.194 s
% 2.01/0.63 % (4420)Instructions burned: 52 (million)
% 2.01/0.63 % (4420)------------------------------
% 2.01/0.63 % (4420)------------------------------
% 2.01/0.63 % (4422)Instruction limit reached!
% 2.01/0.63 % (4422)------------------------------
% 2.01/0.63 % (4422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (4422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (4422)Termination reason: Unknown
% 2.01/0.63 % (4422)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (4422)Memory used [KB]: 6524
% 2.01/0.63 % (4422)Time elapsed: 0.217 s
% 2.01/0.63 % (4422)Instructions burned: 49 (million)
% 2.01/0.63 % (4422)------------------------------
% 2.01/0.63 % (4422)------------------------------
% 2.01/0.63 % (4434)Instruction limit reached!
% 2.01/0.63 % (4434)------------------------------
% 2.01/0.63 % (4434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (4434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (4434)Termination reason: Unknown
% 2.01/0.63 % (4434)Termination phase: Finite model building preprocessing
% 2.01/0.63
% 2.01/0.63 % (4434)Memory used [KB]: 7036
% 2.01/0.63 % (4434)Time elapsed: 0.026 s
% 2.01/0.63 % (4434)Instructions burned: 59 (million)
% 2.01/0.63 % (4434)------------------------------
% 2.01/0.63 % (4434)------------------------------
% 2.01/0.63 % (4426)Instruction limit reached!
% 2.01/0.63 % (4426)------------------------------
% 2.01/0.63 % (4426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (4426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (4426)Termination reason: Unknown
% 2.01/0.63 % (4426)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (4426)Memory used [KB]: 1791
% 2.01/0.63 % (4426)Time elapsed: 0.209 s
% 2.01/0.63 % (4426)Instructions burned: 51 (million)
% 2.01/0.63 % (4426)------------------------------
% 2.01/0.63 % (4426)------------------------------
% 2.01/0.64 % (4427)Instruction limit reached!
% 2.01/0.64 % (4427)------------------------------
% 2.01/0.64 % (4427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64 % (4427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (4427)Termination reason: Unknown
% 2.01/0.64 % (4427)Termination phase: Saturation
% 2.01/0.64
% 2.01/0.64 % (4427)Memory used [KB]: 6524
% 2.01/0.64 % (4427)Time elapsed: 0.211 s
% 2.01/0.64 % (4427)Instructions burned: 50 (million)
% 2.01/0.64 % (4427)------------------------------
% 2.01/0.64 % (4427)------------------------------
% 2.01/0.65 % (4447)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.01/0.65 % (4443)Instruction limit reached!
% 2.01/0.65 % (4443)------------------------------
% 2.01/0.65 % (4443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65 % (4443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65 % (4443)Termination reason: Unknown
% 2.01/0.65 % (4443)Termination phase: Saturation
% 2.01/0.65
% 2.01/0.65 % (4443)Memory used [KB]: 6908
% 2.01/0.65 % (4443)Time elapsed: 0.038 s
% 2.01/0.65 % (4443)Instructions burned: 69 (million)
% 2.01/0.65 % (4443)------------------------------
% 2.01/0.65 % (4443)------------------------------
% 2.01/0.66 % (4431)Instruction limit reached!
% 2.01/0.66 % (4431)------------------------------
% 2.01/0.66 % (4431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66 % (4431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66 % (4431)Termination reason: Unknown
% 2.01/0.66 % (4431)Termination phase: Saturation
% 2.01/0.66
% 2.01/0.66 % (4431)Memory used [KB]: 6908
% 2.01/0.66 % (4431)Time elapsed: 0.038 s
% 2.01/0.66 % (4431)Instructions burned: 68 (million)
% 2.01/0.66 % (4431)------------------------------
% 2.01/0.66 % (4431)------------------------------
% 2.01/0.66 TRYING [1,1,1,1]
% 2.01/0.66 TRYING [1,2,1,1]
% 2.37/0.69 TRYING [1,3,1,1]
% 2.37/0.70 % (4448)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.37/0.71 % (4436)Instruction limit reached!
% 2.37/0.71 % (4436)------------------------------
% 2.37/0.71 % (4436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (4436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (4436)Termination reason: Unknown
% 2.37/0.71 % (4436)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (4436)Memory used [KB]: 1918
% 2.37/0.71 % (4436)Time elapsed: 0.302 s
% 2.37/0.71 % (4436)Instructions burned: 102 (million)
% 2.37/0.71 % (4436)------------------------------
% 2.37/0.71 % (4436)------------------------------
% 2.37/0.71 % (4435)Instruction limit reached!
% 2.37/0.71 % (4435)------------------------------
% 2.37/0.71 % (4435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (4435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (4435)Termination reason: Unknown
% 2.37/0.71 % (4435)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (4435)Memory used [KB]: 6780
% 2.37/0.71 % (4435)Time elapsed: 0.273 s
% 2.37/0.71 % (4435)Instructions burned: 101 (million)
% 2.37/0.71 % (4435)------------------------------
% 2.37/0.71 % (4435)------------------------------
% 2.37/0.71 % (4429)Instruction limit reached!
% 2.37/0.71 % (4429)------------------------------
% 2.37/0.71 % (4429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (4429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (4429)Termination reason: Unknown
% 2.37/0.71 % (4429)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (4429)Memory used [KB]: 7419
% 2.37/0.71 % (4429)Time elapsed: 0.292 s
% 2.37/0.71 % (4429)Instructions burned: 102 (million)
% 2.37/0.71 % (4429)------------------------------
% 2.37/0.71 % (4429)------------------------------
% 2.37/0.73 % (4428)Instruction limit reached!
% 2.37/0.73 % (4428)------------------------------
% 2.37/0.73 % (4428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.73 % (4428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.73 % (4428)Termination reason: Unknown
% 2.37/0.73 % (4428)Termination phase: Saturation
% 2.37/0.73
% 2.37/0.73 % (4428)Memory used [KB]: 7291
% 2.37/0.73 % (4428)Time elapsed: 0.298 s
% 2.37/0.73 % (4428)Instructions burned: 101 (million)
% 2.37/0.73 % (4428)------------------------------
% 2.37/0.73 % (4428)------------------------------
% 2.37/0.74 % (4430)Instruction limit reached!
% 2.37/0.74 % (4430)------------------------------
% 2.37/0.74 % (4430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.74 % (4430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.74 % (4430)Termination reason: Unknown
% 2.37/0.74 % (4430)Termination phase: Saturation
% 2.37/0.74
% 2.37/0.74 % (4430)Memory used [KB]: 6652
% 2.37/0.74 % (4430)Time elapsed: 0.309 s
% 2.37/0.74 % (4430)Instructions burned: 100 (million)
% 2.37/0.74 % (4430)------------------------------
% 2.37/0.74 % (4430)------------------------------
% 2.37/0.74 % (4449)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.37/0.74 % (4433)Instruction limit reached!
% 2.37/0.74 % (4433)------------------------------
% 2.37/0.74 % (4433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.74 % (4433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.74 % (4433)Termination reason: Unknown
% 2.37/0.74 % (4433)Termination phase: Saturation
% 2.37/0.74
% 2.37/0.74 % (4433)Memory used [KB]: 7419
% 2.37/0.74 % (4433)Time elapsed: 0.311 s
% 2.37/0.74 % (4433)Instructions burned: 100 (million)
% 2.37/0.74 % (4433)------------------------------
% 2.37/0.74 % (4433)------------------------------
% 2.37/0.74 % (4450)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.73/0.76 % (4451)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.73/0.76 % (4454)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.73/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.73/0.76 % (4456)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.73/0.76 % (4452)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.73/0.77 % (4455)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.73/0.77 % (4453)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.73/0.77 TRYING [1,2,2,1]
% 2.81/0.78 % (4457)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.81/0.78 % (4459)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.81/0.79 % (4458)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.81/0.80 % (4460)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.81/0.81 % (4438)Instruction limit reached!
% 2.81/0.81 % (4438)------------------------------
% 2.81/0.81 % (4438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.81 % (4438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.81 % (4438)Termination reason: Unknown
% 2.81/0.81 % (4438)Termination phase: Saturation
% 2.81/0.81
% 2.81/0.81 % (4438)Memory used [KB]: 7036
% 2.81/0.81 % (4438)Time elapsed: 0.399 s
% 2.81/0.81 % (4438)Instructions burned: 138 (million)
% 2.81/0.81 % (4438)------------------------------
% 2.81/0.81 % (4438)------------------------------
% 2.81/0.82 % (4437)Instruction limit reached!
% 2.81/0.82 % (4437)------------------------------
% 2.81/0.82 % (4437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.82 % (4437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.82 % (4437)Termination reason: Unknown
% 2.81/0.82 % (4437)Termination phase: Saturation
% 2.81/0.82
% 2.81/0.82 % (4437)Memory used [KB]: 6780
% 2.81/0.82 % (4437)Time elapsed: 0.394 s
% 2.81/0.82 % (4437)Instructions burned: 177 (million)
% 2.81/0.82 % (4437)------------------------------
% 2.81/0.82 % (4437)------------------------------
% 2.99/0.83 TRYING [2,2,2,1]
% 3.05/0.85 % (4462)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.05/0.85 % (4461)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.05/0.85 % (4464)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.05/0.86 % (4463)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.05/0.86 % (4465)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.05/0.87 % (4444)Instruction limit reached!
% 3.05/0.87 % (4444)------------------------------
% 3.05/0.87 % (4444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87 % (4444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87 % (4444)Termination reason: Unknown
% 3.05/0.87 % (4444)Termination phase: Saturation
% 3.05/0.87
% 3.05/0.87 % (4444)Memory used [KB]: 2942
% 3.05/0.87 % (4444)Time elapsed: 0.459 s
% 3.05/0.87 % (4444)Instructions burned: 178 (million)
% 3.05/0.87 % (4444)------------------------------
% 3.05/0.87 % (4444)------------------------------
% 3.05/0.87 % (4449)Instruction limit reached!
% 3.05/0.87 % (4449)------------------------------
% 3.05/0.87 % (4449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87 % (4449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87 % (4449)Termination reason: Unknown
% 3.05/0.87 % (4449)Termination phase: Saturation
% 3.05/0.87
% 3.05/0.87 % (4449)Memory used [KB]: 6268
% 3.05/0.87 % (4449)Time elapsed: 0.247 s
% 3.05/0.87 % (4449)Instructions burned: 92 (million)
% 3.05/0.87 % (4449)------------------------------
% 3.05/0.87 % (4449)------------------------------
% 3.05/0.88 % (4466)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.05/0.89 TRYING [1,3,2,1]
% 3.05/0.89 % (4454)Instruction limit reached!
% 3.05/0.89 % (4454)------------------------------
% 3.05/0.89 % (4454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.89 % (4454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.89 % (4454)Termination reason: Unknown
% 3.05/0.89 % (4454)Termination phase: Saturation
% 3.05/0.89
% 3.05/0.89 % (4454)Memory used [KB]: 6908
% 3.05/0.89 % (4454)Time elapsed: 0.038 s
% 3.05/0.89 % (4454)Instructions burned: 70 (million)
% 3.05/0.89 % (4454)------------------------------
% 3.05/0.89 % (4454)------------------------------
% 3.37/0.93 % (4457)Instruction limit reached!
% 3.37/0.93 % (4457)------------------------------
% 3.37/0.93 % (4457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.93 % (4457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.93 % (4457)Termination reason: Unknown
% 3.37/0.93 % (4457)Termination phase: Saturation
% 3.37/0.93
% 3.37/0.93 % (4457)Memory used [KB]: 6268
% 3.37/0.93 % (4457)Time elapsed: 0.265 s
% 3.37/0.93 % (4457)Instructions burned: 91 (million)
% 3.37/0.93 % (4457)------------------------------
% 3.37/0.93 % (4457)------------------------------
% 3.37/0.95 % (4467)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.37/0.96 % (4468)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.55/0.97 % (4464)Instruction limit reached!
% 3.55/0.97 % (4464)------------------------------
% 3.55/0.97 % (4464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.55/0.97 % (4464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.55/0.97 % (4464)Termination reason: Unknown
% 3.55/0.97 % (4464)Termination phase: Saturation
% 3.55/0.97
% 3.55/0.97 % (4464)Memory used [KB]: 6908
% 3.55/0.97 % (4464)Time elapsed: 0.034 s
% 3.55/0.97 % (4464)Instructions burned: 68 (million)
% 3.55/0.97 % (4464)------------------------------
% 3.55/0.97 % (4464)------------------------------
% 3.55/0.97 TRYING [2,3,2,1]
% 3.55/1.00 % (4469)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.55/1.02 % (4470)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.55/1.02 % (4471)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.80/1.05 % (4448)Instruction limit reached!
% 3.80/1.05 % (4448)------------------------------
% 3.80/1.05 % (4448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.05 % (4448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.05 % (4448)Termination reason: Unknown
% 3.80/1.05 % (4448)Termination phase: Saturation
% 3.80/1.05
% 3.80/1.05 % (4448)Memory used [KB]: 3582
% 3.80/1.05 % (4448)Time elapsed: 0.463 s
% 3.80/1.05 % (4448)Instructions burned: 212 (million)
% 3.80/1.05 % (4448)------------------------------
% 3.80/1.05 % (4448)------------------------------
% 3.80/1.07 % (4472)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 4.00/1.08 TRYING [1,4,1,1]
% 4.00/1.10 % (4473)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 4.00/1.15 % (4469)Instruction limit reached!
% 4.00/1.15 % (4469)------------------------------
% 4.00/1.15 % (4469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.15 % (4469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.15 % (4469)Termination reason: Unknown
% 4.00/1.15 % (4469)Termination phase: Saturation
% 4.00/1.15
% 4.00/1.15 % (4469)Memory used [KB]: 6396
% 4.00/1.15 % (4469)Time elapsed: 0.254 s
% 4.00/1.15 % (4469)Instructions burned: 92 (million)
% 4.00/1.15 % (4469)------------------------------
% 4.00/1.15 % (4469)------------------------------
% 6.13/1.17 % (4446)Instruction limit reached!
% 6.13/1.17 % (4446)------------------------------
% 6.13/1.17 % (4446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.13/1.17 % (4446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.13/1.17 % (4446)Termination reason: Unknown
% 6.13/1.17 % (4446)Termination phase: Saturation
% 6.13/1.17
% 6.13/1.17 % (4446)Memory used [KB]: 9083
% 6.13/1.17 % (4446)Time elapsed: 0.761 s
% 6.13/1.17 % (4446)Instructions burned: 356 (million)
% 6.13/1.17 % (4446)------------------------------
% 6.13/1.17 % (4446)------------------------------
% 6.38/1.18 % (4474)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 6.38/1.18 % (4440)Instruction limit reached!
% 6.38/1.18 % (4440)------------------------------
% 6.38/1.18 % (4440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.18 % (4440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.18 % (4440)Termination reason: Unknown
% 6.38/1.18 % (4440)Termination phase: Saturation
% 6.38/1.18
% 6.38/1.18 % (4440)Memory used [KB]: 6908
% 6.38/1.18 % (4440)Time elapsed: 0.727 s
% 6.38/1.18 % (4440)Instructions burned: 467 (million)
% 6.38/1.18 % (4440)------------------------------
% 6.38/1.18 % (4440)------------------------------
% 6.38/1.18 % (4447)Instruction limit reached!
% 6.38/1.18 % (4447)------------------------------
% 6.38/1.18 % (4447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.19 % (4447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.19 % (4447)Termination reason: Unknown
% 6.38/1.19 % (4447)Termination phase: Saturation
% 6.38/1.19
% 6.38/1.19 % (4447)Memory used [KB]: 8571
% 6.38/1.19 % (4447)Time elapsed: 0.554 s
% 6.38/1.19 % (4447)Instructions burned: 388 (million)
% 6.38/1.19 % (4447)------------------------------
% 6.38/1.19 % (4447)------------------------------
% 6.38/1.23 % (4445)Instruction limit reached!
% 6.38/1.23 % (4445)------------------------------
% 6.38/1.23 % (4445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.23 % (4445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.23 % (4445)Termination reason: Unknown
% 6.38/1.23 % (4445)Termination phase: Saturation
% 6.38/1.23
% 6.38/1.23 % (4445)Memory used [KB]: 8315
% 6.38/1.23 % (4445)Time elapsed: 0.798 s
% 6.38/1.23 % (4445)Instructions burned: 439 (million)
% 6.38/1.23 % (4445)------------------------------
% 6.38/1.23 % (4445)------------------------------
% 6.89/1.26 TRYING [1,4,2,1]
% 7.08/1.29 % (4475)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 7.08/1.30 % (4441)Instruction limit reached!
% 7.08/1.30 % (4441)------------------------------
% 7.08/1.30 % (4441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.30 % (4441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/1.30 % (4441)Termination reason: Unknown
% 7.08/1.30 % (4441)Termination phase: Saturation
% 7.08/1.30
% 7.08/1.30 % (4441)Memory used [KB]: 7291
% 7.08/1.30 % (4441)Time elapsed: 0.861 s
% 7.08/1.30 % (4441)Instructions burned: 482 (million)
% 7.08/1.30 % (4441)------------------------------
% 7.08/1.30 % (4441)------------------------------
% 7.08/1.30 % (4476)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.08/1.32 % (4477)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.08/1.32 % (4478)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.48/1.33 % (4442)Instruction limit reached!
% 7.48/1.33 % (4442)------------------------------
% 7.48/1.33 % (4442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.33 % (4442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.33 % (4442)Termination reason: Unknown
% 7.48/1.33 % (4442)Termination phase: Saturation
% 7.48/1.33
% 7.48/1.33 % (4442)Memory used [KB]: 8059
% 7.48/1.33 % (4442)Time elapsed: 0.895 s
% 7.48/1.33 % (4442)Instructions burned: 501 (million)
% 7.48/1.33 % (4442)------------------------------
% 7.48/1.33 % (4442)------------------------------
% 7.67/1.37 % (4479)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.67/1.38 % (4439)Instruction limit reached!
% 7.67/1.38 % (4439)------------------------------
% 7.67/1.38 % (4439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.38 % (4439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.38 % (4439)Termination reason: Unknown
% 7.67/1.38 % (4439)Termination phase: Saturation
% 7.67/1.38
% 7.67/1.38 % (4439)Memory used [KB]: 7291
% 7.67/1.38 % (4439)Time elapsed: 0.935 s
% 7.67/1.38 % (4439)Instructions burned: 499 (million)
% 7.67/1.38 % (4439)------------------------------
% 7.67/1.38 % (4439)------------------------------
% 7.67/1.42 % (4480)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 7.67/1.42 TRYING [1,3,2,2]
% 8.09/1.45 % (4478)Instruction limit reached!
% 8.09/1.45 % (4478)------------------------------
% 8.09/1.45 % (4478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.09/1.45 % (4478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.09/1.45 % (4478)Termination reason: Unknown
% 8.09/1.45 % (4478)Termination phase: Saturation
% 8.09/1.45
% 8.09/1.45 % (4478)Memory used [KB]: 6268
% 8.09/1.45 % (4478)Time elapsed: 0.128 s
% 8.09/1.45 % (4478)Instructions burned: 90 (million)
% 8.09/1.45 % (4478)------------------------------
% 8.09/1.45 % (4478)------------------------------
% 8.09/1.47 % (4481)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 8.44/1.50 TRYING [2,3,2,2]
% 8.44/1.52 % (4482)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 9.02/1.59 TRYING [1,4,2,2]
% 9.02/1.59 % (4483)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/37001Mi)
% 10.34/1.69 % (4472)First to succeed.
% 10.34/1.74 % (4472)Refutation found. Thanks to Tanya!
% 10.34/1.74 % SZS status Theorem for theBenchmark
% 10.34/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 10.34/1.74 % (4472)------------------------------
% 10.34/1.74 % (4472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.34/1.74 % (4472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.34/1.74 % (4472)Termination reason: Refutation
% 10.34/1.74
% 10.34/1.74 % (4472)Memory used [KB]: 2558
% 10.34/1.74 % (4472)Time elapsed: 0.729 s
% 10.34/1.74 % (4472)Instructions burned: 429 (million)
% 10.34/1.74 % (4472)------------------------------
% 10.34/1.74 % (4472)------------------------------
% 10.34/1.74 % (4416)Success in time 1.377 s
%------------------------------------------------------------------------------