TSTP Solution File: NUM017-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM017-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 08:17:14 EDT 2024
% Result : Unsatisfiable 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 41
% Syntax : Number of formulae : 473 ( 191 unt; 0 def)
% Number of atoms : 865 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 758 ( 366 ~; 366 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 27 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 1116 (1116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3188,plain,
$false,
inference(avatar_sat_refutation,[],[f280,f291,f558,f567,f602,f611,f759,f791,f795,f797,f978,f1010,f1099,f1103,f1106,f1226,f1256,f1388,f1391,f1397,f1504,f3164,f3165,f3185,f3187]) ).
fof(f3187,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f3186]) ).
fof(f3186,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f3183,f2987]) ).
fof(f2987,plain,
( ! [X0] : divides(second_divided_by_1st(a,a),X0)
| ~ spl0_24 ),
inference(superposition,[],[f18,f2979]) ).
fof(f2979,plain,
( ! [X0] : multiply(second_divided_by_1st(a,a),X0) = X0
| ~ spl0_24 ),
inference(resolution,[],[f1812,f1402]) ).
fof(f1402,plain,
( product(a,second_divided_by_1st(a,a),a)
| ~ spl0_24 ),
inference(superposition,[],[f1,f1392]) ).
fof(f1392,plain,
( a = multiply(a,second_divided_by_1st(a,a))
| ~ spl0_24 ),
inference(resolution,[],[f1387,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ~ divides(X0,X1)
| multiply(X0,second_divided_by_1st(X0,X1)) = X1 ),
inference(resolution,[],[f124,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( product(X0,second_divided_by_1st(X0,X1),X1)
| ~ divides(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_implies_product) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| multiply(X1,X2) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined_product) ).
fof(f1387,plain,
( divides(a,a)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl0_24
<=> divides(a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product) ).
fof(f1812,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X0)
| multiply(X1,X2) = X2 ),
inference(resolution,[],[f702,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ product(X2,X0,multiply(X2,X1))
| X0 = X1 ),
inference(resolution,[],[f5,f1]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| X1 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f702,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,multiply(X0,multiply(X1,X3)))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f299,f1]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X3),X4)
| ~ product(X0,X1,X2)
| product(X2,X3,X4) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X4,X1)
| ~ product(X0,X3,X5)
| ~ product(X0,X1,X2)
| product(X5,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_associativity1) ).
fof(f18,plain,
! [X0,X1] : divides(X0,multiply(X0,X1)),
inference(resolution,[],[f9,f1]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| divides(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_divisible_by_operand) ).
fof(f3183,plain,
( ~ divides(second_divided_by_1st(a,a),b)
| ~ spl0_24 ),
inference(resolution,[],[f2987,f15]) ).
fof(f15,axiom,
! [X0] :
( ~ divides(X0,c)
| ~ divides(X0,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_no_common_divisor) ).
fof(f3185,plain,
( ~ spl0_24
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| ~ spl0_24
| spl0_25 ),
inference(resolution,[],[f2987,f1499]) ).
fof(f1499,plain,
( ~ divides(second_divided_by_1st(a,a),b)
| spl0_25 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1497,plain,
( spl0_25
<=> divides(second_divided_by_1st(a,a),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f3165,plain,
( spl0_2
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f3160]) ).
fof(f3160,plain,
( $false
| spl0_2
| ~ spl0_24 ),
inference(resolution,[],[f2989,f278]) ).
fof(f278,plain,
( ~ divides(b,b)
| spl0_2 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_2
<=> divides(b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2989,plain,
( ! [X0] : divides(X0,X0)
| ~ spl0_24 ),
inference(superposition,[],[f23,f2979]) ).
fof(f23,plain,
! [X0,X1] : divides(X0,multiply(X1,X0)),
inference(resolution,[],[f21,f9]) ).
fof(f21,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_commutativity) ).
fof(f3164,plain,
( spl0_4
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f3162]) ).
fof(f3162,plain,
( $false
| spl0_4
| ~ spl0_24 ),
inference(resolution,[],[f2989,f289]) ).
fof(f289,plain,
( ~ divides(c,c)
| spl0_4 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl0_4
<=> divides(c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1504,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1494,f1381,f1501,f1497]) ).
fof(f1501,plain,
( spl0_26
<=> divides(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1381,plain,
( spl0_23
<=> divides(second_divided_by_1st(a,a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1494,plain,
( ~ divides(a,c)
| ~ divides(second_divided_by_1st(a,a),b)
| ~ spl0_23 ),
inference(resolution,[],[f1400,f15]) ).
fof(f1400,plain,
( ! [X0] :
( divides(second_divided_by_1st(a,a),X0)
| ~ divides(a,X0) )
| ~ spl0_23 ),
inference(resolution,[],[f1382,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ divides(X2,X0)
| ~ divides(X0,X1)
| divides(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divides) ).
fof(f1382,plain,
( divides(second_divided_by_1st(a,a),a)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1397,plain,
( spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1396,plain,
( $false
| spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1395,f1387]) ).
fof(f1395,plain,
( ~ divides(a,a)
| spl0_23 ),
inference(resolution,[],[f1383,f110]) ).
fof(f110,plain,
! [X0,X1] :
( divides(second_divided_by_1st(X0,X1),X1)
| ~ divides(X0,X1) ),
inference(resolution,[],[f48,f9]) ).
fof(f48,plain,
! [X0,X1] :
( product(second_divided_by_1st(X0,X1),X0,X1)
| ~ divides(X0,X1) ),
inference(resolution,[],[f8,f4]) ).
fof(f1383,plain,
( ~ divides(second_divided_by_1st(a,a),a)
| spl0_23 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1391,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1390,plain,
( $false
| spl0_24 ),
inference(subsumption_resolution,[],[f1389,f11]) ).
fof(f11,axiom,
prime(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_prime) ).
fof(f1389,plain,
( ~ prime(a)
| spl0_24 ),
inference(resolution,[],[f1386,f491]) ).
fof(f491,plain,
! [X0] :
( divides(X0,X0)
| ~ prime(X0) ),
inference(resolution,[],[f266,f18]) ).
fof(f266,plain,
! [X0,X1] :
( ~ divides(X0,multiply(X1,X1))
| divides(X0,X1)
| ~ prime(X0) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X2,X2,X1)
| ~ divides(X0,X1)
| divides(X0,X2)
| ~ prime(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',primes_lemma1) ).
fof(f1386,plain,
( ~ divides(a,a)
| spl0_24 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1388,plain,
( ~ spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f1377,f1385,f1381]) ).
fof(f1377,plain,
( divides(a,a)
| ~ divides(second_divided_by_1st(a,a),a) ),
inference(superposition,[],[f110,f1316]) ).
fof(f1316,plain,
a = second_divided_by_1st(second_divided_by_1st(a,a),a),
inference(resolution,[],[f1275,f11]) ).
fof(f1275,plain,
! [X0] :
( ~ prime(X0)
| second_divided_by_1st(second_divided_by_1st(X0,X0),X0) = X0 ),
inference(resolution,[],[f163,f491]) ).
fof(f163,plain,
! [X0,X1] :
( ~ divides(X0,X1)
| second_divided_by_1st(second_divided_by_1st(X0,X1),X1) = X0 ),
inference(resolution,[],[f87,f48]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| second_divided_by_1st(X1,X2) = X0 ),
inference(subsumption_resolution,[],[f86,f9]) ).
fof(f86,plain,
! [X2,X0,X1] :
( second_divided_by_1st(X1,X2) = X0
| ~ product(X1,X0,X2)
| ~ divides(X1,X2) ),
inference(resolution,[],[f5,f8]) ).
fof(f1256,plain,
( ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f1207,f1253,f1249]) ).
fof(f1249,plain,
( spl0_21
<=> prime(multiply(c,e)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1253,plain,
( spl0_22
<=> divides(multiply(c,e),e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1207,plain,
( divides(multiply(c,e),e)
| ~ prime(multiply(c,e)) ),
inference(resolution,[],[f1121,f21]) ).
fof(f1121,plain,
! [X0] :
( ~ product(e,c,X0)
| divides(X0,e)
| ~ prime(X0) ),
inference(resolution,[],[f959,f266]) ).
fof(f959,plain,
! [X0,X1] :
( divides(X1,multiply(X0,e))
| ~ product(X0,c,X1) ),
inference(resolution,[],[f612,f9]) ).
fof(f612,plain,
! [X0,X1] :
( product(X1,c,multiply(X0,e))
| ~ product(X0,c,X1) ),
inference(resolution,[],[f304,f1]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ product(X0,e,X2)
| ~ product(X0,c,X1)
| product(X1,c,X2) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,axiom,
product(c,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_squared) ).
fof(f1226,plain,
( ~ spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f1172,f1223,f1219]) ).
fof(f1219,plain,
( spl0_19
<=> prime(multiply(b,d)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1223,plain,
( spl0_20
<=> divides(multiply(b,d),d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1172,plain,
( divides(multiply(b,d),d)
| ~ prime(multiply(b,d)) ),
inference(resolution,[],[f808,f21]) ).
fof(f808,plain,
! [X0] :
( ~ product(d,b,X0)
| divides(X0,d)
| ~ prime(X0) ),
inference(resolution,[],[f740,f266]) ).
fof(f740,plain,
! [X0,X1] :
( divides(X1,multiply(X0,d))
| ~ product(X0,b,X1) ),
inference(resolution,[],[f591,f9]) ).
fof(f591,plain,
! [X0,X1] :
( product(X1,b,multiply(X0,d))
| ~ product(X0,b,X1) ),
inference(resolution,[],[f303,f1]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ product(X0,d,X2)
| ~ product(X0,b,X1)
| product(X1,b,X2) ),
inference(resolution,[],[f2,f12]) ).
fof(f12,axiom,
product(b,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_squared) ).
fof(f1106,plain,
( ~ spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f1101,f1092,f277]) ).
fof(f1092,plain,
( spl0_17
<=> divides(second_divided_by_1st(b,b),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1101,plain,
( ~ divides(b,b)
| spl0_17 ),
inference(resolution,[],[f1094,f110]) ).
fof(f1094,plain,
( ~ divides(second_divided_by_1st(b,b),b)
| spl0_17 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1103,plain,
( ~ spl0_2
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl0_2
| spl0_17 ),
inference(subsumption_resolution,[],[f1101,f279]) ).
fof(f279,plain,
( divides(b,b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f1099,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1088,f277,f1096,f1092]) ).
fof(f1096,plain,
( spl0_18
<=> divides(d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1088,plain,
( ~ divides(d,c)
| ~ divides(second_divided_by_1st(b,b),b)
| ~ spl0_2 ),
inference(resolution,[],[f862,f15]) ).
fof(f862,plain,
( ! [X0] :
( divides(second_divided_by_1st(b,b),X0)
| ~ divides(d,X0) )
| ~ spl0_2 ),
inference(superposition,[],[f26,f844]) ).
fof(f844,plain,
( d = multiply(second_divided_by_1st(b,b),d)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f843,f279]) ).
fof(f843,plain,
( d = multiply(second_divided_by_1st(b,b),d)
| ~ divides(b,b) ),
inference(resolution,[],[f747,f48]) ).
fof(f747,plain,
! [X0] :
( ~ product(X0,b,b)
| d = multiply(X0,d) ),
inference(resolution,[],[f591,f128]) ).
fof(f128,plain,
! [X0] :
( ~ product(b,b,X0)
| d = X0 ),
inference(resolution,[],[f7,f12]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ divides(multiply(X0,X1),X2)
| divides(X0,X2) ),
inference(resolution,[],[f6,f18]) ).
fof(f1010,plain,
( spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| spl0_4
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f981,f289]) ).
fof(f981,plain,
( divides(c,c)
| ~ spl0_15 ),
inference(superposition,[],[f17,f974]) ).
fof(f974,plain,
( c = e
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f972,plain,
( spl0_15
<=> c = e ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f17,plain,
divides(c,e),
inference(resolution,[],[f9,f13]) ).
fof(f978,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f952,f976,f972]) ).
fof(f976,plain,
( spl0_16
<=> ! [X0] : ~ product(X0,c,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f952,plain,
! [X0] :
( ~ product(X0,c,X0)
| c = e ),
inference(resolution,[],[f612,f84]) ).
fof(f797,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl0_2
| spl0_7
| ~ spl0_13 ),
inference(global_subsumption,[],[f279,f11,f12,f13,f14,f15,f1,f9,f16,f17,f18,f4,f21,f23,f6,f24,f28,f29,f25,f32,f33,f26,f36,f38,f37,f42,f40,f46,f41,f47,f8,f44,f50,f45,f51,f27,f52,f56,f53,f61,f59,f66,f60,f67,f64,f68,f65,f69,f30,f31,f5,f82,f90,f83,f94,f34,f35,f48,f108,f110,f114,f113,f84,f120,f7,f127,f128,f132,f131,f129,f147,f146,f87,f163,f161,f124,f173,f174,f172,f187,f228,f85,f10,f267,f268,f270,f271,f269,f281,f282,f125,f298,f295,f2,f300,f302,f39,f305,f306,f307,f308,f309,f310,f311,f312,f313,f316,f317,f318,f319,f320,f321,f43,f322,f323,f324,f325,f326,f327,f328,f329,f330,f333,f334,f335,f336,f54,f339,f340,f341,f342,f343,f344,f345,f346,f347,f352,f353,f354,f355,f55,f356,f357,f358,f359,f360,f361,f362,f363,f364,f369,f370,f72,f373,f374,f375,f376,f377,f378,f379,f73,f380,f381,f382,f385,f386,f74,f387,f388,f389,f390,f391,f75,f394,f395,f396,f78,f401,f404,f405,f406,f407,f79,f408,f413,f414,f80,f415,f418,f419,f3,f423,f425,f81,f428,f98,f435,f436,f437,f438,f439,f440,f441,f99,f442,f443,f444,f447,f448,f100,f449,f450,f451,f452,f453,f101,f456,f457,f458,f104,f463,f466,f467,f468,f469,f105,f470,f475,f476,f106,f477,f480,f481,f107,f484,f266,f492,f501,f491,f547,f548,f561,f549,f569,f574,f583,f568,f303,f592,f593,f581,f582,f304,f612,f613,f614,f57,f616,f617,f618,f619,f620,f621,f622,f627,f628,f631,f632,f58,f634,f635,f636,f637,f638,f639,f640,f649,f650,f62,f652,f653,f654,f655,f656,f657,f658,f663,f664,f63,f670,f671,f672,f673,f674,f675,f676,f426,f687,f688,f689,f427,f690,f691,f692,f126,f693,f701,f299,f702,f703,f704,f707,f708,f422,f709,f710,f711,f714,f715,f301,f716,f717,f718,f719,f720,f721,f424,f723,f724,f725,f731,f591,f732,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f733,f755,f760,f761,f780,f781,f783,f784,f787,f785,f762]) ).
fof(f762,plain,
( divides(b,b)
| ~ spl0_13 ),
inference(superposition,[],[f16,f755]) ).
fof(f785,plain,
( ~ divides(b,b)
| spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f561,f755]) ).
fof(f787,plain,
( ! [X0,X1] :
( product(X0,b,multiply(X1,b))
| ~ product(X1,b,X0) )
| ~ spl0_13 ),
inference(superposition,[],[f591,f755]) ).
fof(f784,plain,
( ! [X2,X0,X1] :
( ~ product(b,X0,X1)
| ~ product(b,X0,X2)
| product(b,X2,X1) )
| ~ spl0_13 ),
inference(superposition,[],[f426,f755]) ).
fof(f783,plain,
( ! [X2,X0,X1] :
( ~ product(X0,b,X1)
| ~ product(X0,b,X2)
| product(X2,b,X1) )
| ~ spl0_13 ),
inference(superposition,[],[f303,f755]) ).
fof(f781,plain,
( b = second_divided_by_1st(b,b)
| ~ spl0_13 ),
inference(superposition,[],[f90,f755]) ).
fof(f780,plain,
( ! [X0] :
( ~ product(b,X0,b)
| b = X0 )
| ~ spl0_13 ),
inference(superposition,[],[f82,f755]) ).
fof(f761,plain,
( ~ product(a,e,b)
| ~ spl0_13 ),
inference(superposition,[],[f14,f755]) ).
fof(f760,plain,
( product(b,b,b)
| ~ spl0_13 ),
inference(superposition,[],[f12,f755]) ).
fof(f755,plain,
( b = d
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f753,plain,
( spl0_13
<=> b = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f733,plain,
! [X0] :
( ~ product(X0,b,X0)
| b = d ),
inference(resolution,[],[f591,f84]) ).
fof(f751,plain,
! [X0,X1] :
( product(X1,b,multiply(d,X0))
| ~ product(X0,b,X1) ),
inference(superposition,[],[f591,f172]) ).
fof(f750,plain,
! [X0,X1] :
( product(X1,b,multiply(d,X0))
| ~ product(X0,b,X1) ),
inference(superposition,[],[f591,f172]) ).
fof(f749,plain,
! [X0,X1] :
( ~ product(X0,b,e)
| ~ product(c,b,X1)
| product(c,X1,multiply(X0,d)) ),
inference(resolution,[],[f591,f427]) ).
fof(f748,plain,
! [X0,X1] :
( ~ product(X0,b,d)
| ~ product(b,b,X1)
| product(b,X1,multiply(X0,d)) ),
inference(resolution,[],[f591,f426]) ).
fof(f746,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,b,second_divided_by_1st(X1,X2))
| ~ product(X2,b,X3)
| product(X1,multiply(X0,d),X3)
| ~ divides(X1,X2) ),
inference(resolution,[],[f591,f424]) ).
fof(f745,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,b,multiply(X1,X2))
| ~ product(X2,b,X3)
| product(X1,X3,multiply(X0,d)) ),
inference(resolution,[],[f591,f422]) ).
fof(f744,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,b,X1)
| ~ product(X1,X2,X3)
| product(X3,second_divided_by_1st(X2,b),multiply(X0,d))
| ~ divides(X2,b) ),
inference(resolution,[],[f591,f301]) ).
fof(f743,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| multiply(X0,d) = multiply(b,X1) ),
inference(resolution,[],[f591,f125]) ).
fof(f742,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| multiply(X0,d) = multiply(X1,b) ),
inference(resolution,[],[f591,f124]) ).
fof(f741,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| b = second_divided_by_1st(X1,multiply(X0,d)) ),
inference(resolution,[],[f591,f87]) ).
fof(f739,plain,
! [X2,X0,X1] :
( ~ product(X0,b,X1)
| multiply(X0,d) = X2
| ~ product(X1,b,X2) ),
inference(resolution,[],[f591,f7]) ).
fof(f738,plain,
! [X2,X0,X1] :
( ~ product(X0,b,X1)
| b = X2
| ~ product(X1,X2,multiply(X0,d)) ),
inference(resolution,[],[f591,f5]) ).
fof(f737,plain,
! [X0,X1] :
( product(b,X1,multiply(X0,d))
| ~ product(X0,b,X1) ),
inference(resolution,[],[f591,f4]) ).
fof(f736,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,b,X1)
| ~ product(multiply(X0,d),X2,X3)
| ~ product(b,X2,X4)
| product(X1,X4,X3) ),
inference(resolution,[],[f591,f3]) ).
fof(f735,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,b,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,multiply(X0,d),X4)
| product(X3,b,X4) ),
inference(resolution,[],[f591,f2]) ).
fof(f734,plain,
! [X0] :
( ~ product(X0,b,d)
| b = X0 ),
inference(resolution,[],[f591,f85]) ).
fof(f732,plain,
! [X0,X1] :
( ~ product(X0,b,b)
| ~ divides(X1,multiply(X0,d))
| divides(X1,b)
| ~ prime(X1) ),
inference(resolution,[],[f591,f10]) ).
fof(f731,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X2,X3)
| ~ product(multiply(X1,X0),X2,X4)
| product(X0,X3,X4) ),
inference(subsumption_resolution,[],[f729,f23]) ).
fof(f729,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X2,X3)
| ~ product(multiply(X1,X0),X2,X4)
| product(X0,X3,X4)
| ~ divides(X0,multiply(X1,X0)) ),
inference(superposition,[],[f424,f161]) ).
fof(f725,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,second_divided_by_1st(second_divided_by_1st(X1,X0),X2),X3)
| product(X1,X2,X3)
| ~ divides(X1,X0)
| ~ divides(second_divided_by_1st(X1,X0),X2) ),
inference(resolution,[],[f424,f8]) ).
fof(f724,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X3,multiply(X1,second_divided_by_1st(X3,X0)),X2)
| ~ divides(X3,X0) ),
inference(resolution,[],[f424,f21]) ).
fof(f723,plain,
! [X2,X3,X0,X1] :
( product(X3,multiply(second_divided_by_1st(X3,X0),X1),X2)
| ~ product(X0,X1,X2)
| ~ divides(X3,X0) ),
inference(resolution,[],[f424,f1]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(second_divided_by_1st(X3,X0),X1,X4)
| ~ product(X0,X1,X2)
| product(X3,X4,X2)
| ~ divides(X3,X0) ),
inference(resolution,[],[f3,f8]) ).
fof(f721,plain,
! [X0,X1] :
( product(X1,second_divided_by_1st(X0,c),e)
| ~ product(c,X0,X1)
| ~ divides(X0,c) ),
inference(resolution,[],[f301,f13]) ).
fof(f720,plain,
! [X0,X1] :
( product(X1,second_divided_by_1st(X0,b),d)
| ~ product(b,X0,X1)
| ~ divides(X0,b) ),
inference(resolution,[],[f301,f12]) ).
fof(f719,plain,
! [X2,X3,X0,X1] :
( ~ product(second_divided_by_1st(X0,X1),X2,X3)
| product(X3,second_divided_by_1st(X2,X0),X1)
| ~ divides(X2,X0)
| ~ divides(X0,X1) ),
inference(resolution,[],[f301,f48]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X2,second_divided_by_1st(X1,second_divided_by_1st(X0,X3)),X3)
| ~ divides(X1,second_divided_by_1st(X0,X3))
| ~ divides(X0,X3) ),
inference(resolution,[],[f301,f8]) ).
fof(f717,plain,
! [X2,X3,X0,X1] :
( product(X2,second_divided_by_1st(X1,X3),multiply(X3,X0))
| ~ product(X0,X1,X2)
| ~ divides(X1,X3) ),
inference(resolution,[],[f301,f21]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( product(X2,second_divided_by_1st(X1,X3),multiply(X0,X3))
| ~ product(X0,X1,X2)
| ~ divides(X1,X3) ),
inference(resolution,[],[f301,f1]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| product(X2,second_divided_by_1st(X1,X3),X4)
| ~ divides(X1,X3) ),
inference(resolution,[],[f2,f8]) ).
fof(f715,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(multiply(X1,X0),X2,X3)
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(superposition,[],[f422,f172]) ).
fof(f714,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(multiply(X1,X0),X2,X3)
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(superposition,[],[f422,f172]) ).
fof(f711,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,second_divided_by_1st(multiply(X1,X0),X2),X3)
| product(X1,X3,X2)
| ~ divides(multiply(X1,X0),X2) ),
inference(resolution,[],[f422,f8]) ).
fof(f710,plain,
! [X2,X3,X0,X1] :
( product(X3,X2,multiply(X1,multiply(X3,X0)))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f422,f21]) ).
fof(f709,plain,
! [X2,X3,X0,X1] :
( product(X3,X2,multiply(multiply(X3,X0),X1))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f422,f1]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(resolution,[],[f3,f1]) ).
fof(f708,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X2,multiply(X1,X0),X3)
| ~ product(X2,X0,X4)
| product(X4,X1,X3) ),
inference(superposition,[],[f299,f172]) ).
fof(f707,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X2,multiply(X1,X0),X3)
| ~ product(X2,X0,X4)
| product(X4,X1,X3) ),
inference(superposition,[],[f299,f172]) ).
fof(f704,plain,
! [X2,X3,X0,X1] :
( ~ product(second_divided_by_1st(multiply(X0,X1),X2),X0,X3)
| product(X3,X1,X2)
| ~ divides(multiply(X0,X1),X2) ),
inference(resolution,[],[f299,f48]) ).
fof(f703,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,multiply(multiply(X1,X3),X0))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f299,f21]) ).
fof(f701,plain,
! [X0,X1] :
( multiply(X0,second_divided_by_1st(X0,X1)) = X1
| ~ divides(X0,X1) ),
inference(forward_demodulation,[],[f694,f172]) ).
fof(f694,plain,
! [X0,X1] :
( multiply(second_divided_by_1st(X0,X1),X0) = X1
| ~ divides(X0,X1) ),
inference(resolution,[],[f126,f21]) ).
fof(f693,plain,
! [X0,X1] :
( multiply(X0,second_divided_by_1st(X0,X1)) = X1
| ~ divides(X0,X1) ),
inference(resolution,[],[f126,f1]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ product(X2,second_divided_by_1st(X2,X1),X0)
| X0 = X1
| ~ divides(X2,X1) ),
inference(resolution,[],[f7,f8]) ).
fof(f692,plain,
! [X0,X1] :
( ~ product(c,second_divided_by_1st(e,X0),X1)
| product(c,X1,X0)
| ~ divides(e,X0) ),
inference(resolution,[],[f427,f8]) ).
fof(f691,plain,
! [X0,X1] :
( product(c,X1,multiply(X0,e))
| ~ product(c,X0,X1) ),
inference(resolution,[],[f427,f21]) ).
fof(f690,plain,
! [X0,X1] :
( product(c,X1,multiply(e,X0))
| ~ product(c,X0,X1) ),
inference(resolution,[],[f427,f1]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ product(e,X0,X1)
| ~ product(c,X0,X2)
| product(c,X2,X1) ),
inference(resolution,[],[f3,f13]) ).
fof(f689,plain,
! [X0,X1] :
( ~ product(b,second_divided_by_1st(d,X0),X1)
| product(b,X1,X0)
| ~ divides(d,X0) ),
inference(resolution,[],[f426,f8]) ).
fof(f688,plain,
! [X0,X1] :
( product(b,X1,multiply(X0,d))
| ~ product(b,X0,X1) ),
inference(resolution,[],[f426,f21]) ).
fof(f687,plain,
! [X0,X1] :
( product(b,X1,multiply(d,X0))
| ~ product(b,X0,X1) ),
inference(resolution,[],[f426,f1]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ product(d,X0,X1)
| ~ product(b,X0,X2)
| product(b,X2,X1) ),
inference(resolution,[],[f3,f12]) ).
fof(f676,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X3),X4)))),
inference(resolution,[],[f63,f26]) ).
fof(f675,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(X2,multiply(multiply(X3,X0),X4)))),
inference(resolution,[],[f63,f27]) ).
fof(f674,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(X1,multiply(multiply(e,X2),X3)))),
inference(resolution,[],[f63,f34]) ).
fof(f673,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(X1,multiply(multiply(X2,e),X3)))),
inference(resolution,[],[f63,f35]) ).
fof(f672,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(X1,multiply(multiply(X2,d),X3)))),
inference(resolution,[],[f63,f31]) ).
fof(f671,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(X1,multiply(multiply(d,X2),X3)))),
inference(resolution,[],[f63,f30]) ).
fof(f670,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(X0,multiply(X1,multiply(X2,X3))),X4)
| divides(X2,X4) ),
inference(resolution,[],[f63,f6]) ).
fof(f63,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X1,multiply(X2,multiply(X0,X3)))),
inference(resolution,[],[f53,f26]) ).
fof(f664,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(X2,multiply(X3,multiply(X1,X0)))),
inference(superposition,[],[f62,f172]) ).
fof(f663,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(X2,multiply(X3,multiply(X1,X0)))),
inference(superposition,[],[f62,f172]) ).
fof(f658,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X0,X4))))),
inference(resolution,[],[f62,f26]) ).
fof(f657,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X4,X0))))),
inference(resolution,[],[f62,f27]) ).
fof(f656,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(X1,multiply(X2,multiply(e,X3))))),
inference(resolution,[],[f62,f34]) ).
fof(f655,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(X1,multiply(X2,multiply(X3,e))))),
inference(resolution,[],[f62,f35]) ).
fof(f654,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(X1,multiply(X2,multiply(X3,d))))),
inference(resolution,[],[f62,f31]) ).
fof(f653,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(X1,multiply(X2,multiply(d,X3))))),
inference(resolution,[],[f62,f30]) ).
fof(f652,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(X0,multiply(X1,multiply(X2,X3))),X4)
| divides(X3,X4) ),
inference(resolution,[],[f62,f6]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X1,multiply(X2,multiply(X3,X0)))),
inference(resolution,[],[f53,f27]) ).
fof(f650,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(X3,multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f58,f172]) ).
fof(f649,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(X3,multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f58,f172]) ).
fof(f640,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(X1,multiply(multiply(X0,X2),X3)),X4)),
inference(resolution,[],[f58,f26]) ).
fof(f639,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(X1,multiply(multiply(X2,X0),X3)),X4)),
inference(resolution,[],[f58,f27]) ).
fof(f638,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(X0,multiply(multiply(e,X1),X2)),X3)),
inference(resolution,[],[f58,f34]) ).
fof(f637,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(X0,multiply(multiply(X1,e),X2)),X3)),
inference(resolution,[],[f58,f35]) ).
fof(f636,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(X0,multiply(multiply(X1,d),X2)),X3)),
inference(resolution,[],[f58,f31]) ).
fof(f635,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(X0,multiply(multiply(d,X1),X2)),X3)),
inference(resolution,[],[f58,f30]) ).
fof(f634,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(multiply(X0,multiply(X1,X2)),X3),X4)
| divides(X1,X4) ),
inference(resolution,[],[f58,f6]) ).
fof(f58,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(X1,multiply(X0,X2)),X3)),
inference(resolution,[],[f52,f26]) ).
fof(f632,plain,
! [X2,X3,X0,X1] : divides(X2,multiply(X3,multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f57,f172]) ).
fof(f631,plain,
! [X2,X3,X0,X1] : divides(X2,multiply(X3,multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f57,f172]) ).
fof(f628,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(multiply(X2,multiply(X1,X0)),X3)),
inference(superposition,[],[f57,f172]) ).
fof(f627,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(multiply(X2,multiply(X1,X0)),X3)),
inference(superposition,[],[f57,f172]) ).
fof(f622,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(X1,multiply(X2,multiply(X0,X3))),X4)),
inference(resolution,[],[f57,f26]) ).
fof(f621,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(X1,multiply(X2,multiply(X3,X0))),X4)),
inference(resolution,[],[f57,f27]) ).
fof(f620,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(X0,multiply(X1,multiply(e,X2))),X3)),
inference(resolution,[],[f57,f34]) ).
fof(f619,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(X0,multiply(X1,multiply(X2,e))),X3)),
inference(resolution,[],[f57,f35]) ).
fof(f618,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(X0,multiply(X1,multiply(X2,d))),X3)),
inference(resolution,[],[f57,f31]) ).
fof(f617,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(X0,multiply(X1,multiply(d,X2))),X3)),
inference(resolution,[],[f57,f30]) ).
fof(f616,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(multiply(X0,multiply(X1,X2)),X3),X4)
| divides(X2,X4) ),
inference(resolution,[],[f57,f6]) ).
fof(f57,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(X1,multiply(X2,X0)),X3)),
inference(resolution,[],[f52,f27]) ).
fof(f614,plain,
! [X0,X1] :
( ~ product(second_divided_by_1st(e,X0),c,X1)
| product(X1,c,X0)
| ~ divides(e,X0) ),
inference(resolution,[],[f304,f48]) ).
fof(f613,plain,
! [X0,X1] :
( product(X1,c,multiply(e,X0))
| ~ product(X0,c,X1) ),
inference(resolution,[],[f304,f21]) ).
fof(f582,plain,
( ~ prime(multiply(d,d))
| divides(multiply(d,d),b) ),
inference(duplicate_literal_removal,[],[f576]) ).
fof(f576,plain,
( ~ prime(multiply(d,d))
| divides(multiply(d,d),b)
| ~ prime(multiply(d,d)) ),
inference(resolution,[],[f549,f268]) ).
fof(f581,plain,
( ~ prime(multiply(e,e))
| divides(multiply(e,e),c) ),
inference(duplicate_literal_removal,[],[f578]) ).
fof(f578,plain,
( ~ prime(multiply(e,e))
| divides(multiply(e,e),c)
| ~ prime(multiply(e,e)) ),
inference(resolution,[],[f549,f269]) ).
fof(f593,plain,
! [X0,X1] :
( ~ product(second_divided_by_1st(d,X0),b,X1)
| product(X1,b,X0)
| ~ divides(d,X0) ),
inference(resolution,[],[f303,f48]) ).
fof(f592,plain,
! [X0,X1] :
( product(X1,b,multiply(d,X0))
| ~ product(X0,b,X1) ),
inference(resolution,[],[f303,f21]) ).
fof(f568,plain,
! [X0] :
( ~ prime(multiply(X0,X0))
| divides(X0,X0) ),
inference(resolution,[],[f549,f27]) ).
fof(f583,plain,
! [X0] :
( ~ prime(multiply(multiply(X0,X0),multiply(X0,X0)))
| divides(multiply(multiply(X0,X0),multiply(X0,X0)),X0) ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f575,plain,
! [X0] :
( ~ prime(multiply(multiply(X0,X0),multiply(X0,X0)))
| divides(multiply(multiply(X0,X0),multiply(X0,X0)),X0)
| ~ prime(multiply(multiply(X0,X0),multiply(X0,X0))) ),
inference(resolution,[],[f549,f266]) ).
fof(f574,plain,
! [X0,X1] :
( ~ prime(multiply(X0,X0))
| ~ divides(X0,X1)
| divides(multiply(X0,X0),X1) ),
inference(resolution,[],[f549,f6]) ).
fof(f569,plain,
! [X0] :
( ~ prime(multiply(X0,X0))
| divides(X0,X0) ),
inference(resolution,[],[f549,f26]) ).
fof(f549,plain,
! [X0] :
( divides(multiply(X0,X0),X0)
| ~ prime(multiply(X0,X0)) ),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f533,plain,
! [X0] :
( ~ prime(multiply(X0,X0))
| divides(multiply(X0,X0),X0)
| ~ prime(multiply(X0,X0)) ),
inference(resolution,[],[f491,f266]) ).
fof(f561,plain,
( ~ divides(d,b)
| spl0_7 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f560,plain,
( spl0_7
<=> divides(d,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f548,plain,
( ~ prime(d)
| divides(d,b) ),
inference(duplicate_literal_removal,[],[f534]) ).
fof(f534,plain,
( ~ prime(d)
| divides(d,b)
| ~ prime(d) ),
inference(resolution,[],[f491,f268]) ).
fof(f547,plain,
( ~ prime(e)
| divides(e,c) ),
inference(duplicate_literal_removal,[],[f536]) ).
fof(f536,plain,
( ~ prime(e)
| divides(e,c)
| ~ prime(e) ),
inference(resolution,[],[f491,f269]) ).
fof(f501,plain,
! [X0,X1] :
( divides(second_divided_by_1st(X0,multiply(X1,X1)),X1)
| ~ prime(second_divided_by_1st(X0,multiply(X1,X1)))
| ~ divides(X0,multiply(X1,X1)) ),
inference(resolution,[],[f266,f110]) ).
fof(f492,plain,
! [X0] :
( divides(X0,X0)
| ~ prime(X0) ),
inference(resolution,[],[f266,f23]) ).
fof(f484,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(X0,multiply(X1,e)),X2),X3)
| divides(c,X3) ),
inference(resolution,[],[f107,f6]) ).
fof(f107,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X0,multiply(X1,e)),X2)),
inference(resolution,[],[f35,f52]) ).
fof(f481,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(X0,e)),X2)),
inference(superposition,[],[f106,f172]) ).
fof(f480,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(X0,e)),X2)),
inference(superposition,[],[f106,f172]) ).
fof(f477,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(multiply(X0,e),X1),X2),X3)
| divides(c,X3) ),
inference(resolution,[],[f106,f6]) ).
fof(f106,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(X0,e),X1),X2)),
inference(resolution,[],[f35,f36]) ).
fof(f476,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(X2,e)),X0)),
inference(superposition,[],[f105,f172]) ).
fof(f475,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(X2,e)),X0)),
inference(superposition,[],[f105,f172]) ).
fof(f470,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,multiply(X2,e))),X3)
| divides(c,X3) ),
inference(resolution,[],[f105,f6]) ).
fof(f105,plain,
! [X2,X0,X1] : divides(c,multiply(X0,multiply(X1,multiply(X2,e)))),
inference(resolution,[],[f35,f53]) ).
fof(f469,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(X1,e),X2),X0)),
inference(superposition,[],[f104,f172]) ).
fof(f468,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(X1,e),X2),X0)),
inference(superposition,[],[f104,f172]) ).
fof(f467,plain,
! [X2,X0,X1] : divides(c,multiply(X2,multiply(X1,multiply(X0,e)))),
inference(superposition,[],[f104,f172]) ).
fof(f466,plain,
! [X2,X0,X1] : divides(c,multiply(X2,multiply(X1,multiply(X0,e)))),
inference(superposition,[],[f104,f172]) ).
fof(f463,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(multiply(X1,e),X2)),X3)
| divides(c,X3) ),
inference(resolution,[],[f104,f6]) ).
fof(f104,plain,
! [X2,X0,X1] : divides(c,multiply(X0,multiply(multiply(X1,e),X2))),
inference(resolution,[],[f35,f37]) ).
fof(f458,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(X0,e)),X2)),
inference(superposition,[],[f101,f172]) ).
fof(f457,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(X0,e)),X2)),
inference(superposition,[],[f101,f172]) ).
fof(f456,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(X0,multiply(e,X1)),X2),X3)
| divides(c,X3) ),
inference(resolution,[],[f101,f6]) ).
fof(f101,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X0,multiply(e,X1)),X2)),
inference(resolution,[],[f34,f52]) ).
fof(f453,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(e,X0)),X2)),
inference(superposition,[],[f100,f172]) ).
fof(f452,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(e,X0)),X2)),
inference(superposition,[],[f100,f172]) ).
fof(f451,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(X0,e),X1),X2)),
inference(superposition,[],[f100,f172]) ).
fof(f450,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(X0,e),X1),X2)),
inference(superposition,[],[f100,f172]) ).
fof(f449,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(multiply(e,X0),X1),X2),X3)
| divides(c,X3) ),
inference(resolution,[],[f100,f6]) ).
fof(f100,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(e,X0),X1),X2)),
inference(resolution,[],[f34,f36]) ).
fof(f448,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(e,X2)),X0)),
inference(superposition,[],[f99,f172]) ).
fof(f447,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(X1,multiply(e,X2)),X0)),
inference(superposition,[],[f99,f172]) ).
fof(f444,plain,
! [X2,X0,X1] : divides(c,multiply(X1,multiply(X2,multiply(X0,e)))),
inference(superposition,[],[f99,f172]) ).
fof(f443,plain,
! [X2,X0,X1] : divides(c,multiply(X1,multiply(X2,multiply(X0,e)))),
inference(superposition,[],[f99,f172]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,multiply(e,X2))),X3)
| divides(c,X3) ),
inference(resolution,[],[f99,f6]) ).
fof(f99,plain,
! [X2,X0,X1] : divides(c,multiply(X0,multiply(X1,multiply(e,X2)))),
inference(resolution,[],[f34,f53]) ).
fof(f441,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(e,X1),X2),X0)),
inference(superposition,[],[f98,f172]) ).
fof(f440,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(e,X1),X2),X0)),
inference(superposition,[],[f98,f172]) ).
fof(f439,plain,
! [X2,X0,X1] : divides(c,multiply(X2,multiply(X1,multiply(e,X0)))),
inference(superposition,[],[f98,f172]) ).
fof(f438,plain,
! [X2,X0,X1] : divides(c,multiply(X2,multiply(X1,multiply(e,X0)))),
inference(superposition,[],[f98,f172]) ).
fof(f437,plain,
! [X2,X0,X1] : divides(c,multiply(X1,multiply(multiply(X0,e),X2))),
inference(superposition,[],[f98,f172]) ).
fof(f436,plain,
! [X2,X0,X1] : divides(c,multiply(X1,multiply(multiply(X0,e),X2))),
inference(superposition,[],[f98,f172]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(multiply(e,X1),X2)),X3)
| divides(c,X3) ),
inference(resolution,[],[f98,f6]) ).
fof(f98,plain,
! [X2,X0,X1] : divides(c,multiply(X0,multiply(multiply(e,X1),X2))),
inference(resolution,[],[f34,f37]) ).
fof(f428,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(X0,multiply(X1,d)),X2),X3)
| divides(b,X3) ),
inference(resolution,[],[f81,f6]) ).
fof(f81,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X0,multiply(X1,d)),X2)),
inference(resolution,[],[f31,f52]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| product(second_divided_by_1st(X3,X0),X4,X2)
| ~ divides(X3,X0) ),
inference(resolution,[],[f3,f48]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X0,X2,X4)
| product(X1,X4,X3) ),
inference(resolution,[],[f3,f21]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X5,X3,X0)
| ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| product(X5,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_associativity2) ).
fof(f419,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(X0,d)),X2)),
inference(superposition,[],[f80,f172]) ).
fof(f418,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(X0,d)),X2)),
inference(superposition,[],[f80,f172]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(multiply(X0,d),X1),X2),X3)
| divides(b,X3) ),
inference(resolution,[],[f80,f6]) ).
fof(f80,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(X0,d),X1),X2)),
inference(resolution,[],[f31,f36]) ).
fof(f414,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(X2,d)),X0)),
inference(superposition,[],[f79,f172]) ).
fof(f413,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(X2,d)),X0)),
inference(superposition,[],[f79,f172]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,multiply(X2,d))),X3)
| divides(b,X3) ),
inference(resolution,[],[f79,f6]) ).
fof(f79,plain,
! [X2,X0,X1] : divides(b,multiply(X0,multiply(X1,multiply(X2,d)))),
inference(resolution,[],[f31,f53]) ).
fof(f407,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(X1,d),X2),X0)),
inference(superposition,[],[f78,f172]) ).
fof(f406,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(X1,d),X2),X0)),
inference(superposition,[],[f78,f172]) ).
fof(f405,plain,
! [X2,X0,X1] : divides(b,multiply(X2,multiply(X1,multiply(X0,d)))),
inference(superposition,[],[f78,f172]) ).
fof(f404,plain,
! [X2,X0,X1] : divides(b,multiply(X2,multiply(X1,multiply(X0,d)))),
inference(superposition,[],[f78,f172]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(multiply(X1,d),X2)),X3)
| divides(b,X3) ),
inference(resolution,[],[f78,f6]) ).
fof(f78,plain,
! [X2,X0,X1] : divides(b,multiply(X0,multiply(multiply(X1,d),X2))),
inference(resolution,[],[f31,f37]) ).
fof(f396,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(X0,d)),X2)),
inference(superposition,[],[f75,f172]) ).
fof(f395,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(X0,d)),X2)),
inference(superposition,[],[f75,f172]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(X0,multiply(d,X1)),X2),X3)
| divides(b,X3) ),
inference(resolution,[],[f75,f6]) ).
fof(f75,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X0,multiply(d,X1)),X2)),
inference(resolution,[],[f30,f52]) ).
fof(f391,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(d,X0)),X2)),
inference(superposition,[],[f74,f172]) ).
fof(f390,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(d,X0)),X2)),
inference(superposition,[],[f74,f172]) ).
fof(f389,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(X0,d),X1),X2)),
inference(superposition,[],[f74,f172]) ).
fof(f388,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(X0,d),X1),X2)),
inference(superposition,[],[f74,f172]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(multiply(d,X0),X1),X2),X3)
| divides(b,X3) ),
inference(resolution,[],[f74,f6]) ).
fof(f74,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(d,X0),X1),X2)),
inference(resolution,[],[f30,f36]) ).
fof(f386,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(d,X2)),X0)),
inference(superposition,[],[f73,f172]) ).
fof(f385,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(X1,multiply(d,X2)),X0)),
inference(superposition,[],[f73,f172]) ).
fof(f382,plain,
! [X2,X0,X1] : divides(b,multiply(X1,multiply(X2,multiply(X0,d)))),
inference(superposition,[],[f73,f172]) ).
fof(f381,plain,
! [X2,X0,X1] : divides(b,multiply(X1,multiply(X2,multiply(X0,d)))),
inference(superposition,[],[f73,f172]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,multiply(d,X2))),X3)
| divides(b,X3) ),
inference(resolution,[],[f73,f6]) ).
fof(f73,plain,
! [X2,X0,X1] : divides(b,multiply(X0,multiply(X1,multiply(d,X2)))),
inference(resolution,[],[f30,f53]) ).
fof(f379,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(d,X1),X2),X0)),
inference(superposition,[],[f72,f172]) ).
fof(f378,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(d,X1),X2),X0)),
inference(superposition,[],[f72,f172]) ).
fof(f377,plain,
! [X2,X0,X1] : divides(b,multiply(X2,multiply(X1,multiply(d,X0)))),
inference(superposition,[],[f72,f172]) ).
fof(f376,plain,
! [X2,X0,X1] : divides(b,multiply(X2,multiply(X1,multiply(d,X0)))),
inference(superposition,[],[f72,f172]) ).
fof(f375,plain,
! [X2,X0,X1] : divides(b,multiply(X1,multiply(multiply(X0,d),X2))),
inference(superposition,[],[f72,f172]) ).
fof(f374,plain,
! [X2,X0,X1] : divides(b,multiply(X1,multiply(multiply(X0,d),X2))),
inference(superposition,[],[f72,f172]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(multiply(d,X1),X2)),X3)
| divides(b,X3) ),
inference(resolution,[],[f72,f6]) ).
fof(f72,plain,
! [X2,X0,X1] : divides(b,multiply(X0,multiply(multiply(d,X1),X2))),
inference(resolution,[],[f30,f37]) ).
fof(f370,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(multiply(X2,multiply(X0,X1)),X3)),
inference(superposition,[],[f55,f172]) ).
fof(f369,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(multiply(X2,multiply(X0,X1)),X3)),
inference(superposition,[],[f55,f172]) ).
fof(f364,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(X0,e),X1),X2)),
inference(resolution,[],[f55,f25]) ).
fof(f363,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(X0,d),X1),X2)),
inference(resolution,[],[f55,f24]) ).
fof(f362,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(multiply(X0,multiply(e,X1)),X2),X3)),
inference(resolution,[],[f55,f34]) ).
fof(f361,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(multiply(X0,multiply(X1,e)),X2),X3)),
inference(resolution,[],[f55,f35]) ).
fof(f360,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(multiply(X0,multiply(X1,d)),X2),X3)),
inference(resolution,[],[f55,f31]) ).
fof(f359,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(multiply(X0,multiply(d,X1)),X2),X3)),
inference(resolution,[],[f55,f30]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(multiply(X1,multiply(X0,X2)),X3),X4)),
inference(resolution,[],[f55,f26]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(multiply(X1,multiply(X2,X0)),X3),X4)),
inference(resolution,[],[f55,f27]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(multiply(multiply(X0,X1),X2),X3),X4)
| divides(X1,X4) ),
inference(resolution,[],[f55,f6]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(multiply(X1,X0),X2),X3)),
inference(resolution,[],[f27,f36]) ).
fof(f355,plain,
! [X2,X3,X0,X1] : divides(X2,multiply(multiply(multiply(X1,X2),X3),X0)),
inference(superposition,[],[f54,f172]) ).
fof(f354,plain,
! [X2,X3,X0,X1] : divides(X2,multiply(multiply(multiply(X1,X2),X3),X0)),
inference(superposition,[],[f54,f172]) ).
fof(f353,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(X3,multiply(X2,multiply(X0,X1)))),
inference(superposition,[],[f54,f172]) ).
fof(f352,plain,
! [X2,X3,X0,X1] : divides(X1,multiply(X3,multiply(X2,multiply(X0,X1)))),
inference(superposition,[],[f54,f172]) ).
fof(f347,plain,
! [X2,X0,X1] : divides(c,multiply(X0,multiply(multiply(X1,e),X2))),
inference(resolution,[],[f54,f25]) ).
fof(f346,plain,
! [X2,X0,X1] : divides(b,multiply(X0,multiply(multiply(X1,d),X2))),
inference(resolution,[],[f54,f24]) ).
fof(f345,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(multiply(X1,multiply(e,X2)),X3))),
inference(resolution,[],[f54,f34]) ).
fof(f344,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(multiply(X1,multiply(X2,e)),X3))),
inference(resolution,[],[f54,f35]) ).
fof(f343,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(multiply(X1,multiply(X2,d)),X3))),
inference(resolution,[],[f54,f31]) ).
fof(f342,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(multiply(X1,multiply(d,X2)),X3))),
inference(resolution,[],[f54,f30]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(multiply(X2,multiply(X0,X3)),X4))),
inference(resolution,[],[f54,f26]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(multiply(X2,multiply(X3,X0)),X4))),
inference(resolution,[],[f54,f27]) ).
fof(f339,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(X0,multiply(multiply(X1,X2),X3)),X4)
| divides(X2,X4) ),
inference(resolution,[],[f54,f6]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X1,multiply(multiply(X2,X0),X3))),
inference(resolution,[],[f27,f37]) ).
fof(f336,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X3,multiply(X2,multiply(X0,X1)))),
inference(superposition,[],[f43,f172]) ).
fof(f335,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X3,multiply(X2,multiply(X0,X1)))),
inference(superposition,[],[f43,f172]) ).
fof(f334,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X2,multiply(multiply(X1,X0),X3))),
inference(superposition,[],[f43,f172]) ).
fof(f333,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X2,multiply(multiply(X1,X0),X3))),
inference(superposition,[],[f43,f172]) ).
fof(f330,plain,
! [X2,X0,X1] : divides(c,multiply(X0,multiply(multiply(e,X1),X2))),
inference(resolution,[],[f43,f25]) ).
fof(f329,plain,
! [X2,X0,X1] : divides(b,multiply(X0,multiply(multiply(d,X1),X2))),
inference(resolution,[],[f43,f24]) ).
fof(f328,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(multiply(multiply(e,X1),X2),X3))),
inference(resolution,[],[f43,f34]) ).
fof(f327,plain,
! [X2,X3,X0,X1] : divides(c,multiply(X0,multiply(multiply(multiply(X1,e),X2),X3))),
inference(resolution,[],[f43,f35]) ).
fof(f326,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(multiply(multiply(X1,d),X2),X3))),
inference(resolution,[],[f43,f31]) ).
fof(f325,plain,
! [X2,X3,X0,X1] : divides(b,multiply(X0,multiply(multiply(multiply(d,X1),X2),X3))),
inference(resolution,[],[f43,f30]) ).
fof(f324,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(multiply(multiply(X0,X2),X3),X4))),
inference(resolution,[],[f43,f26]) ).
fof(f323,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(X1,multiply(multiply(multiply(X2,X0),X3),X4))),
inference(resolution,[],[f43,f27]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(X0,multiply(multiply(X1,X2),X3)),X4)
| divides(X1,X4) ),
inference(resolution,[],[f43,f6]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X1,multiply(multiply(X0,X2),X3))),
inference(resolution,[],[f37,f26]) ).
fof(f321,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X3,multiply(multiply(X0,X1),X2))),
inference(superposition,[],[f39,f172]) ).
fof(f320,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(X3,multiply(multiply(X0,X1),X2))),
inference(superposition,[],[f39,f172]) ).
fof(f319,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(X2,multiply(X0,X1)),X3)),
inference(superposition,[],[f39,f172]) ).
fof(f318,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(X2,multiply(X0,X1)),X3)),
inference(superposition,[],[f39,f172]) ).
fof(f317,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(multiply(X1,X0),X2),X3)),
inference(superposition,[],[f39,f172]) ).
fof(f316,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(multiply(X1,X0),X2),X3)),
inference(superposition,[],[f39,f172]) ).
fof(f313,plain,
! [X2,X0,X1] : divides(c,multiply(multiply(multiply(e,X0),X1),X2)),
inference(resolution,[],[f39,f25]) ).
fof(f312,plain,
! [X2,X0,X1] : divides(b,multiply(multiply(multiply(d,X0),X1),X2)),
inference(resolution,[],[f39,f24]) ).
fof(f311,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(multiply(multiply(e,X0),X1),X2),X3)),
inference(resolution,[],[f39,f34]) ).
fof(f310,plain,
! [X2,X3,X0,X1] : divides(c,multiply(multiply(multiply(multiply(X0,e),X1),X2),X3)),
inference(resolution,[],[f39,f35]) ).
fof(f309,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(multiply(multiply(X0,d),X1),X2),X3)),
inference(resolution,[],[f39,f31]) ).
fof(f308,plain,
! [X2,X3,X0,X1] : divides(b,multiply(multiply(multiply(multiply(d,X0),X1),X2),X3)),
inference(resolution,[],[f39,f30]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(multiply(multiply(X0,X1),X2),X3),X4)),
inference(resolution,[],[f39,f26]) ).
fof(f306,plain,
! [X2,X3,X0,X1,X4] : divides(X0,multiply(multiply(multiply(multiply(X1,X0),X2),X3),X4)),
inference(resolution,[],[f39,f27]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4] :
( ~ divides(multiply(multiply(multiply(X0,X1),X2),X3),X4)
| divides(X0,X4) ),
inference(resolution,[],[f39,f6]) ).
fof(f39,plain,
! [X2,X3,X0,X1] : divides(X0,multiply(multiply(multiply(X0,X1),X2),X3)),
inference(resolution,[],[f36,f26]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,second_divided_by_1st(X1,X2),X3)
| ~ product(X0,X2,X4)
| product(X3,X1,X4)
| ~ divides(X1,X2) ),
inference(resolution,[],[f2,f48]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X3,X1),X4)
| ~ product(X0,X1,X2)
| product(X2,X3,X4) ),
inference(resolution,[],[f2,f21]) ).
fof(f295,plain,
! [X0,X1] :
( multiply(X0,second_divided_by_1st(X0,X1)) = X1
| ~ divides(X0,X1) ),
inference(resolution,[],[f125,f48]) ).
fof(f298,plain,
! [X0,X1] :
( multiply(X0,second_divided_by_1st(X0,X1)) = X1
| ~ divides(X0,X1) ),
inference(forward_demodulation,[],[f294,f172]) ).
fof(f294,plain,
! [X0,X1] :
( multiply(second_divided_by_1st(X0,X1),X0) = X1
| ~ divides(X0,X1) ),
inference(resolution,[],[f125,f8]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,X0)
| multiply(X1,X2) = X0 ),
inference(resolution,[],[f7,f21]) ).
fof(f282,plain,
( divides(c,c)
| ~ prime(c) ),
inference(resolution,[],[f269,f17]) ).
fof(f281,plain,
! [X0] :
( divides(second_divided_by_1st(X0,e),c)
| ~ prime(second_divided_by_1st(X0,e))
| ~ divides(X0,e) ),
inference(resolution,[],[f269,f110]) ).
fof(f269,plain,
! [X0] :
( ~ divides(X0,e)
| divides(X0,c)
| ~ prime(X0) ),
inference(resolution,[],[f10,f13]) ).
fof(f271,plain,
( divides(b,b)
| ~ prime(b) ),
inference(resolution,[],[f268,f16]) ).
fof(f270,plain,
! [X0] :
( divides(second_divided_by_1st(X0,d),b)
| ~ prime(second_divided_by_1st(X0,d))
| ~ divides(X0,d) ),
inference(resolution,[],[f268,f110]) ).
fof(f268,plain,
! [X0] :
( ~ divides(X0,d)
| divides(X0,b)
| ~ prime(X0) ),
inference(resolution,[],[f10,f12]) ).
fof(f267,plain,
! [X0,X1] :
( ~ divides(X0,multiply(X1,X1))
| divides(X0,X1)
| ~ prime(X0) ),
inference(resolution,[],[f10,f21]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ product(X2,X0,multiply(X1,X2))
| X0 = X1 ),
inference(resolution,[],[f5,f21]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,multiply(X1,X0))
| X1 = X2 ),
inference(superposition,[],[f84,f172]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,multiply(X1,X0))
| X1 = X2 ),
inference(superposition,[],[f84,f172]) ).
fof(f172,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f124,f21]) ).
fof(f174,plain,
! [X0,X1] :
( multiply(second_divided_by_1st(X0,X1),X0) = X1
| ~ divides(X0,X1) ),
inference(resolution,[],[f124,f48]) ).
fof(f161,plain,
! [X0,X1] : second_divided_by_1st(X0,multiply(X1,X0)) = X1,
inference(resolution,[],[f87,f21]) ).
fof(f146,plain,
e = multiply(c,c),
inference(resolution,[],[f129,f1]) ).
fof(f147,plain,
e = multiply(c,c),
inference(resolution,[],[f129,f21]) ).
fof(f129,plain,
! [X0] :
( ~ product(c,c,X0)
| e = X0 ),
inference(resolution,[],[f7,f13]) ).
fof(f131,plain,
d = multiply(b,b),
inference(resolution,[],[f128,f1]) ).
fof(f132,plain,
d = multiply(b,b),
inference(resolution,[],[f128,f21]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ product(second_divided_by_1st(X2,X1),X2,X0)
| X0 = X1
| ~ divides(X2,X1) ),
inference(resolution,[],[f7,f48]) ).
fof(f120,plain,
! [X0,X1] : second_divided_by_1st(X0,multiply(X0,X1)) = X1,
inference(subsumption_resolution,[],[f119,f18]) ).
fof(f119,plain,
! [X0,X1] :
( second_divided_by_1st(X0,multiply(X0,X1)) = X1
| ~ divides(X0,multiply(X0,X1)) ),
inference(resolution,[],[f84,f8]) ).
fof(f113,plain,
! [X0] :
( ~ divides(second_divided_by_1st(X0,c),b)
| ~ divides(X0,c) ),
inference(resolution,[],[f110,f15]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ divides(X0,X1)
| ~ divides(X1,X2)
| divides(second_divided_by_1st(X0,X1),X2) ),
inference(resolution,[],[f110,f6]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ product(second_divided_by_1st(X0,X1),X2,X1)
| X0 = X2
| ~ divides(X0,X1) ),
inference(resolution,[],[f48,f5]) ).
fof(f35,plain,
! [X0,X1] :
( ~ divides(multiply(X0,e),X1)
| divides(c,X1) ),
inference(resolution,[],[f33,f6]) ).
fof(f34,plain,
! [X0,X1] :
( ~ divides(multiply(e,X0),X1)
| divides(c,X1) ),
inference(resolution,[],[f32,f6]) ).
fof(f94,plain,
c = second_divided_by_1st(c,e),
inference(subsumption_resolution,[],[f93,f17]) ).
fof(f93,plain,
( c = second_divided_by_1st(c,e)
| ~ divides(c,e) ),
inference(resolution,[],[f83,f8]) ).
fof(f83,plain,
! [X0] :
( ~ product(c,X0,e)
| c = X0 ),
inference(resolution,[],[f5,f13]) ).
fof(f90,plain,
b = second_divided_by_1st(b,d),
inference(subsumption_resolution,[],[f89,f16]) ).
fof(f89,plain,
( b = second_divided_by_1st(b,d)
| ~ divides(b,d) ),
inference(resolution,[],[f82,f8]) ).
fof(f82,plain,
! [X0] :
( ~ product(b,X0,d)
| b = X0 ),
inference(resolution,[],[f5,f12]) ).
fof(f31,plain,
! [X0,X1] :
( ~ divides(multiply(X0,d),X1)
| divides(b,X1) ),
inference(resolution,[],[f29,f6]) ).
fof(f30,plain,
! [X0,X1] :
( ~ divides(multiply(d,X0),X1)
| divides(b,X1) ),
inference(resolution,[],[f28,f6]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,e)),X2)
| divides(c,X2) ),
inference(resolution,[],[f65,f6]) ).
fof(f65,plain,
! [X0,X1] : divides(c,multiply(X0,multiply(X1,e))),
inference(resolution,[],[f53,f25]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,d)),X2)
| divides(b,X2) ),
inference(resolution,[],[f64,f6]) ).
fof(f64,plain,
! [X0,X1] : divides(b,multiply(X0,multiply(X1,d))),
inference(resolution,[],[f53,f24]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ divides(multiply(multiply(X0,e),X1),X2)
| divides(c,X2) ),
inference(resolution,[],[f60,f6]) ).
fof(f60,plain,
! [X0,X1] : divides(c,multiply(multiply(X0,e),X1)),
inference(resolution,[],[f52,f25]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ divides(multiply(multiply(X0,d),X1),X2)
| divides(b,X2) ),
inference(resolution,[],[f59,f6]) ).
fof(f59,plain,
! [X0,X1] : divides(b,multiply(multiply(X0,d),X1)),
inference(resolution,[],[f52,f24]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,X2)),X3)
| divides(X2,X3) ),
inference(resolution,[],[f53,f6]) ).
fof(f53,plain,
! [X2,X0,X1] : divides(X0,multiply(X1,multiply(X2,X0))),
inference(resolution,[],[f27,f23]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(X0,X1),X2),X3)
| divides(X1,X3) ),
inference(resolution,[],[f52,f6]) ).
fof(f52,plain,
! [X2,X0,X1] : divides(X0,multiply(multiply(X1,X0),X2)),
inference(resolution,[],[f27,f18]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ divides(multiply(X0,X1),X2)
| divides(X1,X2) ),
inference(resolution,[],[f6,f23]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ divides(multiply(X0,multiply(e,X1)),X2)
| divides(c,X2) ),
inference(resolution,[],[f45,f6]) ).
fof(f45,plain,
! [X0,X1] : divides(c,multiply(X0,multiply(e,X1))),
inference(resolution,[],[f37,f25]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ divides(multiply(X0,multiply(d,X1)),X2)
| divides(b,X2) ),
inference(resolution,[],[f44,f6]) ).
fof(f44,plain,
! [X0,X1] : divides(b,multiply(X0,multiply(d,X1))),
inference(resolution,[],[f37,f24]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ divides(multiply(multiply(e,X0),X1),X2)
| divides(c,X2) ),
inference(resolution,[],[f41,f6]) ).
fof(f41,plain,
! [X0,X1] : divides(c,multiply(multiply(e,X0),X1)),
inference(resolution,[],[f36,f25]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ divides(multiply(multiply(d,X0),X1),X2)
| divides(b,X2) ),
inference(resolution,[],[f40,f6]) ).
fof(f40,plain,
! [X0,X1] : divides(b,multiply(multiply(d,X0),X1)),
inference(resolution,[],[f36,f24]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(X0,multiply(X1,X2)),X3)
| divides(X1,X3) ),
inference(resolution,[],[f37,f6]) ).
fof(f37,plain,
! [X2,X0,X1] : divides(X0,multiply(X1,multiply(X0,X2))),
inference(resolution,[],[f26,f23]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( ~ divides(multiply(multiply(X0,X1),X2),X3)
| divides(X0,X3) ),
inference(resolution,[],[f36,f6]) ).
fof(f36,plain,
! [X2,X0,X1] : divides(X0,multiply(multiply(X0,X1),X2)),
inference(resolution,[],[f26,f18]) ).
fof(f33,plain,
! [X0] : divides(c,multiply(X0,e)),
inference(resolution,[],[f25,f23]) ).
fof(f32,plain,
! [X0] : divides(c,multiply(e,X0)),
inference(resolution,[],[f25,f18]) ).
fof(f25,plain,
! [X0] :
( ~ divides(e,X0)
| divides(c,X0) ),
inference(resolution,[],[f6,f17]) ).
fof(f29,plain,
! [X0] : divides(b,multiply(X0,d)),
inference(resolution,[],[f24,f23]) ).
fof(f28,plain,
! [X0] : divides(b,multiply(d,X0)),
inference(resolution,[],[f24,f18]) ).
fof(f24,plain,
! [X0] :
( ~ divides(d,X0)
| divides(b,X0) ),
inference(resolution,[],[f6,f16]) ).
fof(f16,plain,
divides(b,d),
inference(resolution,[],[f9,f12]) ).
fof(f14,axiom,
~ product(a,e,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_squared_is_not_b_squared) ).
fof(f795,plain,
( spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| spl0_7
| ~ spl0_13 ),
inference(global_subsumption,[],[f11,f12,f13,f14,f15,f1,f9,f16,f17,f18,f4,f21,f23,f6,f24,f28,f29,f25,f32,f33,f26,f36,f38,f37,f42,f40,f46,f41,f47,f8,f44,f50,f45,f51,f27,f52,f56,f53,f61,f59,f66,f60,f67,f64,f68,f65,f69,f30,f31,f5,f82,f90,f83,f94,f34,f35,f48,f108,f110,f114,f113,f84,f120,f7,f127,f128,f132,f131,f129,f147,f146,f87,f163,f161,f124,f173,f174,f172,f187,f228,f85,f10,f267,f268,f270,f271,f269,f281,f282,f125,f298,f295,f2,f300,f302,f39,f305,f306,f307,f308,f309,f310,f311,f312,f313,f316,f317,f318,f319,f320,f321,f43,f322,f323,f324,f325,f326,f327,f328,f329,f330,f333,f334,f335,f336,f54,f339,f340,f341,f342,f343,f344,f345,f346,f347,f352,f353,f354,f355,f55,f356,f357,f358,f359,f360,f361,f362,f363,f364,f369,f370,f72,f373,f374,f375,f376,f377,f378,f379,f73,f380,f381,f382,f385,f386,f74,f387,f388,f389,f390,f391,f75,f394,f395,f396,f78,f401,f404,f405,f406,f407,f79,f408,f413,f414,f80,f415,f418,f419,f3,f423,f425,f81,f428,f98,f435,f436,f437,f438,f439,f440,f441,f99,f442,f443,f444,f447,f448,f100,f449,f450,f451,f452,f453,f101,f456,f457,f458,f104,f463,f466,f467,f468,f469,f105,f470,f475,f476,f106,f477,f480,f481,f107,f484,f266,f492,f501,f491,f547,f548,f561,f549,f569,f574,f583,f568,f303,f592,f593,f581,f582,f304,f612,f613,f614,f57,f616,f617,f618,f619,f620,f621,f622,f627,f628,f631,f632,f58,f634,f635,f636,f637,f638,f639,f640,f649,f650,f62,f652,f653,f654,f655,f656,f657,f658,f663,f664,f63,f670,f671,f672,f673,f674,f675,f676,f426,f687,f688,f689,f427,f690,f691,f692,f126,f693,f701,f299,f702,f703,f704,f707,f708,f422,f709,f710,f711,f714,f715,f301,f716,f717,f718,f719,f720,f721,f424,f723,f724,f725,f731,f591,f732,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f733,f755,f760,f761,f780,f781,f783,f784,f787,f785,f762]) ).
fof(f791,plain,
( spl0_2
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| spl0_2
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f762,f278]) ).
fof(f759,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f733,f757,f753]) ).
fof(f757,plain,
( spl0_14
<=> ! [X0] : ~ product(X0,b,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f611,plain,
( spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f582,f608,f604]) ).
fof(f604,plain,
( spl0_11
<=> divides(multiply(d,d),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f608,plain,
( spl0_12
<=> prime(multiply(d,d)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f602,plain,
( spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f581,f599,f595]) ).
fof(f595,plain,
( spl0_9
<=> divides(multiply(e,e),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f599,plain,
( spl0_10
<=> prime(multiply(e,e)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f567,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f548,f564,f560]) ).
fof(f564,plain,
( spl0_8
<=> prime(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f558,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f547,f555,f551]) ).
fof(f551,plain,
( spl0_5
<=> divides(e,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f555,plain,
( spl0_6
<=> prime(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f291,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f282,f288,f284]) ).
fof(f284,plain,
( spl0_3
<=> prime(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f280,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f271,f277,f273]) ).
fof(f273,plain,
( spl0_1
<=> prime(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM017-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.35 % Computer : n018.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri May 3 14:42:32 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (15450)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (15456)WARNING: value z3 for option sas not known
% 0.16/0.38 % (15455)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (15454)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (15459)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38 % (15460)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.38 % (15458)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.38 % (15457)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (15456)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [4]
% 0.16/0.39 TRYING [3]
% 0.16/0.40 TRYING [5]
% 0.16/0.41 TRYING [4]
% 0.22/0.43 TRYING [6]
% 0.22/0.46 TRYING [5]
% 0.22/0.49 TRYING [7]
% 0.22/0.50 TRYING [1]
% 0.22/0.50 TRYING [2]
% 0.22/0.50 TRYING [3]
% 0.22/0.50 % (15456)First to succeed.
% 0.22/0.50 TRYING [4]
% 0.22/0.50 % (15456)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15450"
% 0.22/0.50 % (15456)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (15456)------------------------------
% 0.22/0.50 % (15456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50 % (15456)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (15456)Memory used [KB]: 2067
% 0.22/0.50 % (15456)Time elapsed: 0.125 s
% 0.22/0.50 % (15456)Instructions burned: 227 (million)
% 0.22/0.50 % (15450)Success in time 0.142 s
%------------------------------------------------------------------------------