TSTP Solution File: GRP281-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP281-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 : Mon May 20 21:07:54 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 47
% Syntax : Number of formulae : 204 ( 4 unt; 0 def)
% Number of atoms : 868 ( 236 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1305 ( 641 ~; 649 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1610,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f49,f54,f69,f70,f71,f72,f73,f78,f79,f80,f81,f82,f87,f88,f89,f90,f91,f96,f97,f98,f99,f100,f105,f106,f107,f108,f109,f122,f336,f588,f628,f669,f677,f878,f1046,f1253,f1517,f1562,f1609]) ).
fof(f1609,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1608,f120,f102,f93,f84,f75,f66,f37,f75]) ).
fof(f37,plain,
( spl0_1
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f66,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f75,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f84,plain,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f93,plain,
( spl0_10
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f102,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f120,plain,
( spl0_15
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1608,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1580,f1380]) ).
fof(f1380,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1358,f1355]) ).
fof(f1355,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1196,f678]) ).
fof(f678,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f77]) ).
fof(f77,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1196,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f883,f697]) ).
fof(f697,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f696,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f696,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f679]) ).
fof(f679,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f104]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f883,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f3,f851]) ).
fof(f851,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f843,f715]) ).
fof(f715,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f710,f39]) ).
fof(f39,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f710,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f693,f68]) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f693,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f692,f1]) ).
fof(f692,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f678]) ).
fof(f843,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f39,f836]) ).
fof(f836,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f781,f86]) ).
fof(f86,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f781,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f697,f95]) ).
fof(f95,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f1358,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1196,f679]) ).
fof(f1580,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1579]) ).
fof(f1579,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f1565,f1352]) ).
fof(f1352,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1196,f697]) ).
fof(f1565,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1564,f836]) ).
fof(f1564,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1563,f836]) ).
fof(f1563,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f715]) ).
fof(f121,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f1562,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1561,f117,f102,f93,f84,f75,f66,f37,f75]) ).
fof(f117,plain,
( spl0_14
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1561,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1533,f1380]) ).
fof(f1533,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1532]) ).
fof(f1532,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f1518,f1352]) ).
fof(f1518,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f836]) ).
fof(f118,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1517,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1516,f111,f102,f93,f84,f75,f66,f37,f75]) ).
fof(f111,plain,
( spl0_12
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1516,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1488,f1380]) ).
fof(f1488,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1487]) ).
fof(f1487,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1321,f1352]) ).
fof(f1321,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f836]) ).
fof(f112,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f1253,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1236,f114,f102,f93,f84,f102]) ).
fof(f114,plain,
( spl0_13
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1236,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1234]) ).
fof(f1234,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f1047,f697]) ).
fof(f1047,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f836]) ).
fof(f115,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f1046,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1045,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1044]) ).
fof(f1044,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1043,f715]) ).
fof(f1043,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1042,f851]) ).
fof(f1042,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f42,f836]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f878,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f876]) ).
fof(f876,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f871,f836]) ).
fof(f871,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f723,f855]) ).
fof(f855,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f787,f137]) ).
fof(f137,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f787,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f786,f697]) ).
fof(f786,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f783,f715]) ).
fof(f783,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f129,f697]) ).
fof(f129,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f723,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f62,f715]) ).
fof(f62,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f677,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f169,f51,f46,f41,f37]) ).
fof(f46,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f51,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f169,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f136,f165]) ).
fof(f165,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f159,f138]) ).
fof(f138,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f136,f53]) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f159,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f131,f43]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f53]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f128,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f669,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f668,f120,f61,f56,f51,f46,f41,f46]) ).
fof(f668,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f644,f239]) ).
fof(f239,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f232,f231]) ).
fof(f231,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f210,f123]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f209,f1]) ).
fof(f209,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f178]) ).
fof(f178,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f177,f123]) ).
fof(f177,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f173,f176]) ).
fof(f176,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f172,f53]) ).
fof(f172,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f165,f171]) ).
fof(f171,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f169,f166]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f160,f165]) ).
fof(f160,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f131,f142]) ).
fof(f142,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f137,f63]) ).
fof(f63,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f173,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f146,f171]) ).
fof(f146,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f129,f123]) ).
fof(f232,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f210,f184]) ).
fof(f184,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f124,f176]) ).
fof(f644,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f643]) ).
fof(f643,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f631,f214]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f212,f210]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f180]) ).
fof(f180,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f175,f176]) ).
fof(f175,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f63,f171]) ).
fof(f631,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f630,f176]) ).
fof(f630,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f629,f176]) ).
fof(f629,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f171]) ).
fof(f628,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f627,f117,f61,f56,f51,f46,f41,f46]) ).
fof(f627,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f603,f239]) ).
fof(f603,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f602]) ).
fof(f602,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f590,f214]) ).
fof(f590,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f176]) ).
fof(f588,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f587,f114,f61,f56,f51,f46,f41,f46]) ).
fof(f587,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f570,f239]) ).
fof(f570,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f566]) ).
fof(f566,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f337,f187]) ).
fof(f187,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f137,f176]) ).
fof(f337,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f176]) ).
fof(f336,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f335,f111,f61,f56,f51,f46,f41,f46]) ).
fof(f335,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f303,f239]) ).
fof(f303,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f302]) ).
fof(f302,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f200,f214]) ).
fof(f200,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f176]) ).
fof(f122,plain,
( ~ spl0_1
| spl0_12
| spl0_13
| ~ spl0_2
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f120,f117,f41,f114,f111,f37]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f109,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f33,f61,f102]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f108,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f56,f102]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f107,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f51,f102]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f106,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f46,f102]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f105,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f41,f102]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f100,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f61,f93]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f99,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f56,f93]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f98,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f51,f93]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f97,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f46,f93]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f96,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f41,f93]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f91,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f61,f84]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f90,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f56,f84]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f89,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f51,f84]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f88,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f46,f84]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f87,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f41,f84]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f82,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f61,f75]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f81,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f56,f75]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f80,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f51,f75]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f79,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f46,f75]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f78,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f41,f75]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f73,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f61,f66]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f72,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f56,f66]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f71,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f51,f66]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f70,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f46,f66]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f69,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f41,f66]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f54,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f51,f37]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f49,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f46,f37]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f41,f37]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP281-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 04:44:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.73 % (29677)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.74 % (29670)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.74 % (29671)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.74 % (29672)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.74 % (29673)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.74 % (29674)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.74 % (29675)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.74 % (29678)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.74 % (29677)Refutation not found, incomplete strategy% (29677)------------------------------
% 0.57/0.74 % (29677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29677)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29677)Memory used [KB]: 1074
% 0.57/0.74 % (29677)Time elapsed: 0.003 s
% 0.57/0.74 % (29677)Instructions burned: 6 (million)
% 0.57/0.74 % (29677)------------------------------
% 0.57/0.74 % (29677)------------------------------
% 0.57/0.74 % (29670)Refutation not found, incomplete strategy% (29670)------------------------------
% 0.57/0.74 % (29670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29670)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29670)Memory used [KB]: 1007
% 0.57/0.74 % (29673)Refutation not found, incomplete strategy% (29673)------------------------------
% 0.57/0.74 % (29673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29673)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29673)Memory used [KB]: 997
% 0.57/0.74 % (29673)Time elapsed: 0.003 s
% 0.57/0.74 % (29673)Instructions burned: 4 (million)
% 0.57/0.74 % (29670)Time elapsed: 0.004 s
% 0.57/0.74 % (29670)Instructions burned: 4 (million)
% 0.57/0.74 % (29674)Refutation not found, incomplete strategy% (29674)------------------------------
% 0.57/0.74 % (29674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29678)Refutation not found, incomplete strategy% (29678)------------------------------
% 0.57/0.74 % (29678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29674)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29674)Memory used [KB]: 1006
% 0.57/0.74 % (29674)Time elapsed: 0.004 s
% 0.57/0.74 % (29674)Instructions burned: 4 (million)
% 0.57/0.74 % (29678)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74 % (29673)------------------------------
% 0.57/0.74 % (29673)------------------------------
% 0.57/0.74
% 0.57/0.74 % (29670)------------------------------
% 0.57/0.74 % (29670)------------------------------
% 0.57/0.74 % (29678)Memory used [KB]: 991
% 0.57/0.74 % (29678)Time elapsed: 0.003 s
% 0.57/0.74 % (29678)Instructions burned: 4 (million)
% 0.57/0.74 % (29674)------------------------------
% 0.57/0.74 % (29674)------------------------------
% 0.57/0.74 % (29675)Refutation not found, incomplete strategy% (29675)------------------------------
% 0.57/0.74 % (29675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29672)Refutation not found, incomplete strategy% (29672)------------------------------
% 0.57/0.74 % (29672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29672)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29672)Memory used [KB]: 1061
% 0.57/0.74 % (29672)Time elapsed: 0.004 s
% 0.57/0.74 % (29672)Instructions burned: 5 (million)
% 0.57/0.74 % (29678)------------------------------
% 0.57/0.74 % (29678)------------------------------
% 0.57/0.74 % (29675)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29675)Memory used [KB]: 995
% 0.57/0.74 % (29675)Time elapsed: 0.004 s
% 0.57/0.74 % (29675)Instructions burned: 5 (million)
% 0.57/0.74 % (29672)------------------------------
% 0.57/0.74 % (29672)------------------------------
% 0.57/0.74 % (29675)------------------------------
% 0.57/0.74 % (29675)------------------------------
% 0.57/0.74 % (29682)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.74 % (29682)Refutation not found, incomplete strategy% (29682)------------------------------
% 0.57/0.74 % (29682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (29682)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (29682)Memory used [KB]: 1071
% 0.57/0.74 % (29682)Time elapsed: 0.002 s
% 0.57/0.74 % (29682)Instructions burned: 5 (million)
% 0.57/0.74 % (29682)------------------------------
% 0.57/0.74 % (29682)------------------------------
% 0.57/0.74 % (29684)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.57/0.74 % (29685)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.57/0.74 % (29687)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.57/0.74 % (29688)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.57/0.74 % (29689)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.57/0.74 % (29690)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.57/0.74 % (29691)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.57/0.75 % (29684)Refutation not found, incomplete strategy% (29684)------------------------------
% 0.57/0.75 % (29684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29684)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29684)Memory used [KB]: 999
% 0.57/0.75 % (29684)Time elapsed: 0.004 s
% 0.57/0.75 % (29684)Instructions burned: 5 (million)
% 0.57/0.75 % (29689)Refutation not found, incomplete strategy% (29689)------------------------------
% 0.57/0.75 % (29689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29689)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29689)Memory used [KB]: 1012
% 0.57/0.75 % (29689)Time elapsed: 0.003 s
% 0.57/0.75 % (29689)Instructions burned: 4 (million)
% 0.57/0.75 % (29691)Refutation not found, incomplete strategy% (29691)------------------------------
% 0.57/0.75 % (29691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29691)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29691)Memory used [KB]: 993
% 0.57/0.75 % (29691)Time elapsed: 0.002 s
% 0.57/0.75 % (29691)Instructions burned: 4 (million)
% 0.57/0.75 % (29688)Refutation not found, incomplete strategy% (29688)------------------------------
% 0.57/0.75 % (29688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29688)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29688)Memory used [KB]: 994
% 0.57/0.75 % (29688)Time elapsed: 0.005 s
% 0.57/0.75 % (29688)Instructions burned: 5 (million)
% 0.57/0.75 % (29689)------------------------------
% 0.57/0.75 % (29689)------------------------------
% 0.57/0.75 % (29684)------------------------------
% 0.57/0.75 % (29684)------------------------------
% 0.57/0.75 % (29691)------------------------------
% 0.57/0.75 % (29691)------------------------------
% 0.57/0.75 % (29687)Refutation not found, incomplete strategy% (29687)------------------------------
% 0.57/0.75 % (29687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29687)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29687)Memory used [KB]: 1061
% 0.57/0.75 % (29687)Time elapsed: 0.004 s
% 0.57/0.75 % (29687)Instructions burned: 5 (million)
% 0.57/0.75 % (29688)------------------------------
% 0.57/0.75 % (29688)------------------------------
% 0.57/0.75 % (29687)------------------------------
% 0.57/0.75 % (29687)------------------------------
% 0.57/0.75 % (29693)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.57/0.75 % (29685)Refutation not found, incomplete strategy% (29685)------------------------------
% 0.57/0.75 % (29685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29685)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29685)Memory used [KB]: 1093
% 0.57/0.75 % (29685)Time elapsed: 0.008 s
% 0.57/0.75 % (29685)Instructions burned: 11 (million)
% 0.57/0.75 % (29685)------------------------------
% 0.57/0.75 % (29685)------------------------------
% 0.57/0.75 % (29692)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.57/0.75 % (29694)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.57/0.75 % (29695)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.57/0.75 % (29696)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.57/0.75 % (29694)Refutation not found, incomplete strategy% (29694)------------------------------
% 0.57/0.75 % (29694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29694)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29694)Memory used [KB]: 992
% 0.57/0.75 % (29694)Time elapsed: 0.004 s
% 0.57/0.75 % (29694)Instructions burned: 3 (million)
% 0.57/0.75 % (29692)Refutation not found, incomplete strategy% (29692)------------------------------
% 0.57/0.75 % (29692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29692)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29692)Memory used [KB]: 1008
% 0.57/0.75 % (29692)Time elapsed: 0.004 s
% 0.57/0.75 % (29692)Instructions burned: 4 (million)
% 0.57/0.75 % (29694)------------------------------
% 0.57/0.75 % (29694)------------------------------
% 0.57/0.75 % (29692)------------------------------
% 0.57/0.75 % (29692)------------------------------
% 0.57/0.75 % (29696)Refutation not found, incomplete strategy% (29696)------------------------------
% 0.57/0.75 % (29696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29696)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29696)Memory used [KB]: 1061
% 0.57/0.75 % (29696)Time elapsed: 0.004 s
% 0.57/0.75 % (29698)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.57/0.75 % (29696)Instructions burned: 5 (million)
% 0.57/0.75 % (29696)------------------------------
% 0.57/0.75 % (29696)------------------------------
% 0.57/0.76 % (29698)Refutation not found, incomplete strategy% (29698)------------------------------
% 0.57/0.76 % (29698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (29698)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (29698)Memory used [KB]: 1008
% 0.57/0.76 % (29698)Time elapsed: 0.004 s
% 0.57/0.76 % (29698)Instructions burned: 4 (million)
% 0.57/0.76 % (29700)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.57/0.76 % (29698)------------------------------
% 0.57/0.76 % (29698)------------------------------
% 0.57/0.76 % (29701)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.57/0.76 % (29702)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.57/0.76 % (29701)Refutation not found, incomplete strategy% (29701)------------------------------
% 0.57/0.76 % (29701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (29701)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (29701)Memory used [KB]: 1005
% 0.57/0.76 % (29701)Time elapsed: 0.003 s
% 0.57/0.76 % (29701)Instructions burned: 4 (million)
% 0.57/0.76 % (29671)First to succeed.
% 0.57/0.76 % (29701)------------------------------
% 0.57/0.76 % (29701)------------------------------
% 0.57/0.76 % (29704)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.57/0.76 % (29671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29552"
% 0.57/0.76 % (29702)Refutation not found, incomplete strategy% (29702)------------------------------
% 0.57/0.76 % (29702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (29702)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (29702)Memory used [KB]: 1077
% 0.57/0.76 % (29702)Time elapsed: 0.005 s
% 0.57/0.76 % (29702)Instructions burned: 6 (million)
% 0.57/0.76 % (29702)------------------------------
% 0.57/0.76 % (29702)------------------------------
% 0.57/0.76 % (29671)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Unsatisfiable for theBenchmark
% 0.57/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.76 % (29671)------------------------------
% 0.57/0.76 % (29671)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (29671)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (29671)Memory used [KB]: 1455
% 0.57/0.76 % (29671)Time elapsed: 0.026 s
% 0.57/0.76 % (29671)Instructions burned: 47 (million)
% 0.57/0.76 % (29552)Success in time 0.418 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------