TSTP Solution File: GRP385-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP385-1 : TPTP v8.1.2. 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:47 EDT 2024
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 47
% Syntax : Number of formulae : 236 ( 8 unt; 0 def)
% Number of atoms : 968 ( 289 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1434 ( 702 ~; 714 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1930,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f67,f87,f92,f97,f98,f99,f103,f104,f109,f110,f111,f115,f116,f121,f122,f123,f127,f128,f133,f134,f135,f139,f140,f152,f243,f248,f324,f328,f639,f700,f829,f848,f902,f946,f959,f971,f1017,f1061,f1124,f1143,f1799,f1814,f1880,f1888]) ).
fof(f1888,plain,
( spl0_26
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1863,f826,f130,f118,f106,f94,f845]) ).
fof(f845,plain,
( spl0_26
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f94,plain,
( spl0_10
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f106,plain,
( spl0_11
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f118,plain,
( spl0_12
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f130,plain,
( spl0_13
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f826,plain,
( spl0_23
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1863,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1006,f1002]) ).
fof(f1002,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1000,f998]) ).
fof(f998,plain,
( sk_c10 = sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f996,f96]) ).
fof(f96,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f996,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f992,f975]) ).
fof(f975,plain,
( sk_c8 = sk_c2
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f751,f827]) ).
fof(f827,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f751,plain,
( sk_c2 = multiply(sk_c9,sk_c9)
| ~ spl0_11 ),
inference(superposition,[],[f174,f108]) ).
fof(f108,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f174,plain,
! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0,
inference(forward_demodulation,[],[f163,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',left_identity) ).
fof(f163,plain,
! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0)),
inference(superposition,[],[f3,f153]) ).
fof(f153,plain,
identity = multiply(sk_c9,sk_c10),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
inverse(sk_c10) = sk_c9,
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_1) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',associativity) ).
fof(f992,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f763,f120]) ).
fof(f120,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f763,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f761,f1]) ).
fof(f761,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f740]) ).
fof(f740,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f2,f132]) ).
fof(f132,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f1000,plain,
( sk_c8 = multiply(sk_c9,sk_c10)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f174,f996]) ).
fof(f1006,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f153,f998]) ).
fof(f1880,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1879,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_25 ),
inference(trivial_inequality_removal,[],[f1874]) ).
fof(f1874,plain,
( sk_c8 != sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_25 ),
inference(superposition,[],[f1845,f1002]) ).
fof(f1845,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_25 ),
inference(forward_demodulation,[],[f1844,f998]) ).
fof(f1844,plain,
( sk_c8 != multiply(sk_c10,sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_25 ),
inference(forward_demodulation,[],[f1843,f4]) ).
fof(f1843,plain,
( sk_c8 != multiply(sk_c10,inverse(sk_c10))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| spl0_25 ),
inference(forward_demodulation,[],[f843,f998]) ).
fof(f843,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| spl0_25 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl0_25
<=> sk_c8 = multiply(sk_c9,inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1814,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1813,f845,f826,f144,f130,f118,f106,f94,f64,f50,f303]) ).
fof(f303,plain,
( spl0_18
<=> sk_c10 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f50,plain,
( spl0_1
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f64,plain,
( spl0_4
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f144,plain,
( spl0_14
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1813,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1768,f1028]) ).
fof(f1028,plain,
( sk_c10 = sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1027,f52]) ).
fof(f52,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f1027,plain,
( multiply(sk_c9,sk_c8) = sk_c1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1024,f865]) ).
fof(f865,plain,
( sk_c3 = sk_c1
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f203,f760]) ).
fof(f760,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl0_13 ),
inference(superposition,[],[f174,f740]) ).
fof(f203,plain,
( sk_c3 = multiply(sk_c9,identity)
| ~ spl0_4 ),
inference(superposition,[],[f174,f154]) ).
fof(f154,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f66]) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f1024,plain,
( multiply(sk_c9,sk_c8) = sk_c3
| ~ spl0_4
| ~ spl0_26 ),
inference(superposition,[],[f203,f846]) ).
fof(f846,plain,
( identity = sk_c8
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f1768,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1767]) ).
fof(f1767,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c1)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f1144,f763]) ).
fof(f1144,plain,
( ! [X4] :
( sk_c10 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c10 != inverse(X4) )
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f145,f998]) ).
fof(f145,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f1799,plain,
( ~ spl0_18
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1771,f826,f144,f130,f118,f106,f94,f303]) ).
fof(f1771,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1761]) ).
fof(f1761,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f1144,f1008]) ).
fof(f1008,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f174,f998]) ).
fof(f1143,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1142,f845,f150,f130,f89,f84,f64,f50,f303]) ).
fof(f84,plain,
( spl0_8
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f89,plain,
( spl0_9
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f150,plain,
( spl0_16
<=> ! [X9] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1142,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1105,f1028]) ).
fof(f1105,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1104]) ).
fof(f1104,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f151,f960]) ).
fof(f960,plain,
( sk_c10 = multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f736,f865]) ).
fof(f736,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f91,f734]) ).
fof(f734,plain,
( sk_c3 = sk_c7
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f204,f203]) ).
fof(f204,plain,
( sk_c7 = multiply(sk_c9,identity)
| ~ spl0_8 ),
inference(superposition,[],[f174,f156]) ).
fof(f156,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f91,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f151,plain,
( ! [X9] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f1124,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1123,f826,f150,f130,f118,f106,f94,f50,f303]) ).
fof(f1123,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1109,f998]) ).
fof(f1109,plain,
( sk_c10 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1097]) ).
fof(f1097,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f151,f52]) ).
fof(f1061,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_22
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1059]) ).
fof(f1059,plain,
( sk_c8 != sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f1012,f187]) ).
fof(f187,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f173,f91]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f162,f1]) ).
fof(f162,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f156]) ).
fof(f1012,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f824,f998]) ).
fof(f824,plain,
( sk_c8 != multiply(sk_c10,sk_c9)
| spl0_22 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f822,plain,
( spl0_22
<=> sk_c8 = multiply(sk_c10,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1017,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1015]) ).
fof(f1015,plain,
( sk_c10 != sk_c10
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f972,f998]) ).
fof(f972,plain,
( sk_c10 != sk_c9
| spl0_18 ),
inference(superposition,[],[f305,f4]) ).
fof(f305,plain,
( sk_c10 != inverse(sk_c10)
| spl0_18 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f971,plain,
( spl0_26
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f970,f303,f89,f84,f845]) ).
fof(f970,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f969,f187]) ).
fof(f969,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_18 ),
inference(superposition,[],[f2,f304]) ).
fof(f304,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f959,plain,
( spl0_23
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f746,f94,f826]) ).
fof(f746,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f174,f96]) ).
fof(f946,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f940]) ).
fof(f940,plain,
( sk_c10 != sk_c10
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_26 ),
inference(superposition,[],[f722,f921]) ).
fof(f921,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_26 ),
inference(forward_demodulation,[],[f920,f889]) ).
fof(f889,plain,
( sk_c10 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_demodulation,[],[f883,f710]) ).
fof(f710,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f349,f558]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f547,f174]) ).
fof(f547,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f174,f181]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = multiply(sk_c10,X0)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f3,f176]) ).
fof(f176,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f172,f61]) ).
fof(f61,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_3
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f172,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f161,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f154]) ).
fof(f349,plain,
( multiply(sk_c3,sk_c8) = multiply(sk_c4,sk_c10)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f164,f187]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c10,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f61]) ).
fof(f883,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_26 ),
inference(superposition,[],[f707,f846]) ).
fof(f707,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f355,f558]) ).
fof(f355,plain,
( multiply(sk_c3,identity) = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f164,f156]) ).
fof(f920,plain,
( sk_c9 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_26 ),
inference(forward_demodulation,[],[f919,f96]) ).
fof(f919,plain,
( sk_c7 = multiply(sk_c10,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_demodulation,[],[f910,f846]) ).
fof(f910,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f707,f890]) ).
fof(f890,plain,
( sk_c10 = sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_demodulation,[],[f884,f710]) ).
fof(f884,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_26 ),
inference(superposition,[],[f708,f846]) ).
fof(f708,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f354,f558]) ).
fof(f354,plain,
( multiply(sk_c3,identity) = multiply(sk_c4,sk_c3)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f164,f154]) ).
fof(f722,plain,
( sk_c10 != sk_c9
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f55,f176]) ).
fof(f55,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_2
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f902,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f895,f845,f89,f84,f64,f59,f303]) ).
fof(f895,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f86,f889]) ).
fof(f848,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f820,f147,f845,f841]) ).
fof(f147,plain,
( spl0_15
<=> ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f820,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_15 ),
inference(superposition,[],[f148,f2]) ).
fof(f148,plain,
( ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f829,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f816,f147,f826,f822]) ).
fof(f816,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c8 != multiply(sk_c10,sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f148,f4]) ).
fof(f700,plain,
( ~ spl0_18
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f699,f144,f89,f84,f64,f59,f54,f303]) ).
fof(f699,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f658,f220]) ).
fof(f220,plain,
( sk_c10 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f219,f208]) ).
fof(f208,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f199,f179]) ).
fof(f179,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f176,f56]) ).
fof(f56,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f199,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f174,f187]) ).
fof(f219,plain,
( sk_c7 = multiply(sk_c10,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f218,f179]) ).
fof(f218,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f204,f190]) ).
fof(f190,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f187,f182]) ).
fof(f182,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f153,f179]) ).
fof(f658,plain,
( sk_c10 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f657]) ).
fof(f657,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f640,f173]) ).
fof(f640,plain,
( ! [X4] :
( sk_c10 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c10 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f145,f179]) ).
fof(f639,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f626,f187]) ).
fof(f626,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f620]) ).
fof(f620,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f329,f225]) ).
fof(f225,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f66,f217]) ).
fof(f217,plain,
( sk_c10 = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f216,f208]) ).
fof(f216,plain,
( sk_c3 = multiply(sk_c10,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f215,f179]) ).
fof(f215,plain,
( multiply(sk_c9,sk_c8) = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f203,f190]) ).
fof(f329,plain,
( ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c10)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f148,f179]) ).
fof(f328,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_18 ),
inference(trivial_inequality_removal,[],[f325]) ).
fof(f325,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_18 ),
inference(superposition,[],[f305,f225]) ).
fof(f324,plain,
( ~ spl0_18
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f323,f150,f89,f84,f64,f59,f54,f303]) ).
fof(f323,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f294,f220]) ).
fof(f294,plain,
( sk_c10 != inverse(sk_c7)
| ~ spl0_9
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c7)
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f151,f91]) ).
fof(f248,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f246]) ).
fof(f246,plain,
( sk_c10 != sk_c10
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f245,f208]) ).
fof(f245,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f51,f179]) ).
fof(f51,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f243,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f237,f179]) ).
fof(f237,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f95,f208]) ).
fof(f95,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f152,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_14
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f142,f150,f147,f144,f144,f94,f50]) ).
fof(f142,plain,
! [X6,X9,X7,X4] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8) ),
inference(trivial_inequality_removal,[],[f141]) ).
fof(f141,plain,
! [X6,X9,X7,X4] :
( sk_c9 != sk_c9
| sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[],[f48,f4]) ).
fof(f48,plain,
! [X6,X9,X7,X4] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X4)
| multiply(X4,sk_c10) != X3
| sk_c9 != multiply(sk_c10,X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X4)
| multiply(X4,sk_c10) != X3
| sk_c9 != multiply(sk_c10,X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f45]) ).
fof(f45,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9)
| sk_c8 != multiply(X8,sk_c9)
| inverse(X7) != X8
| sk_c8 != multiply(X7,X8)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X4)
| multiply(X4,sk_c10) != X3
| sk_c9 != multiply(sk_c10,X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_42) ).
fof(f140,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f44,f89,f130]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_41) ).
fof(f139,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f43,f84,f130]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_40) ).
fof(f135,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f39,f64,f130]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_36) ).
fof(f134,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f38,f59,f130]) ).
fof(f38,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_35) ).
fof(f133,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f37,f54,f130]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_34) ).
fof(f128,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f36,f89,f118]) ).
fof(f36,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_33) ).
fof(f127,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f35,f84,f118]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_32) ).
fof(f123,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f64,f118]) ).
fof(f31,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_28) ).
fof(f122,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f59,f118]) ).
fof(f30,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_27) ).
fof(f121,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f54,f118]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_26) ).
fof(f116,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f89,f106]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_25) ).
fof(f115,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f27,f84,f106]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_24) ).
fof(f111,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f64,f106]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_20) ).
fof(f110,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f22,f59,f106]) ).
fof(f22,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_19) ).
fof(f109,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f54,f106]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_18) ).
fof(f104,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f20,f89,f94]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_17) ).
fof(f103,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f19,f84,f94]) ).
fof(f19,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_16) ).
fof(f99,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f64,f94]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_12) ).
fof(f98,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f59,f94]) ).
fof(f14,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_11) ).
fof(f97,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f54,f94]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_10) ).
fof(f92,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f12,f89,f50]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_9) ).
fof(f87,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f11,f84,f50]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_8) ).
fof(f67,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f64,f50]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_4) ).
fof(f62,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f59,f50]) ).
fof(f6,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829',prove_this_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP385-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 18:41:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 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/tmp/tmp.n3Y4oydqsw/Vampire---4.8_25829
% 0.55/0.74 % (26039)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 Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (26045)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.74 % (26038)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (26041)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (26040)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (26045)Refutation not found, incomplete strategy% (26045)------------------------------
% 0.55/0.74 % (26045)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (26043)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (26045)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74 % (26042)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.74
% 0.55/0.74 % (26045)Memory used [KB]: 1000
% 0.55/0.74 % (26045)Time elapsed: 0.002 s
% 0.55/0.74 % (26044)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 Vampire---4 for (2996ds/83Mi)
% 0.55/0.74 % (26045)Instructions burned: 4 (million)
% 0.55/0.74 % (26045)------------------------------
% 0.55/0.74 % (26045)------------------------------
% 0.55/0.75 % (26038)Refutation not found, incomplete strategy% (26038)------------------------------
% 0.55/0.75 % (26038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26038)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26038)Memory used [KB]: 1015
% 0.55/0.75 % (26038)Time elapsed: 0.004 s
% 0.55/0.75 % (26038)Instructions burned: 4 (million)
% 0.55/0.75 % (26038)------------------------------
% 0.55/0.75 % (26038)------------------------------
% 0.55/0.75 % (26041)Refutation not found, incomplete strategy% (26041)------------------------------
% 0.55/0.75 % (26041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26041)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26041)Memory used [KB]: 997
% 0.55/0.75 % (26041)Time elapsed: 0.004 s
% 0.55/0.75 % (26041)Instructions burned: 5 (million)
% 0.55/0.75 % (26041)------------------------------
% 0.55/0.75 % (26041)------------------------------
% 0.55/0.75 % (26042)Refutation not found, incomplete strategy% (26042)------------------------------
% 0.55/0.75 % (26042)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26042)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26042)Memory used [KB]: 1014
% 0.55/0.75 % (26042)Time elapsed: 0.004 s
% 0.55/0.75 % (26042)Instructions burned: 5 (million)
% 0.55/0.75 % (26042)------------------------------
% 0.55/0.75 % (26042)------------------------------
% 0.55/0.75 % (26040)Refutation not found, incomplete strategy% (26040)------------------------------
% 0.55/0.75 % (26040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26040)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26040)Memory used [KB]: 1072
% 0.55/0.75 % (26040)Time elapsed: 0.005 s
% 0.55/0.75 % (26040)Instructions burned: 7 (million)
% 0.55/0.75 % (26040)------------------------------
% 0.55/0.75 % (26040)------------------------------
% 0.55/0.75 % (26044)Refutation not found, incomplete strategy% (26044)------------------------------
% 0.55/0.75 % (26044)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26044)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26044)Memory used [KB]: 1088
% 0.55/0.75 % (26044)Time elapsed: 0.006 s
% 0.55/0.75 % (26044)Instructions burned: 8 (million)
% 0.55/0.75 % (26044)------------------------------
% 0.55/0.75 % (26044)------------------------------
% 0.55/0.75 % (26046)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 Vampire---4 for (2996ds/55Mi)
% 0.55/0.75 % (26048)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.75 % (26047)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 Vampire---4 for (2996ds/50Mi)
% 0.55/0.75 % (26049)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 Vampire---4 for (2996ds/52Mi)
% 0.55/0.75 % (26046)Refutation not found, incomplete strategy% (26046)------------------------------
% 0.55/0.75 % (26046)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26046)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26046)Memory used [KB]: 1075
% 0.55/0.75 % (26046)Time elapsed: 0.003 s
% 0.55/0.75 % (26046)Instructions burned: 7 (million)
% 0.55/0.75 % (26046)------------------------------
% 0.55/0.75 % (26046)------------------------------
% 0.55/0.75 % (26050)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 Vampire---4 for (2996ds/518Mi)
% 0.55/0.75 % (26051)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 Vampire---4 for (2996ds/42Mi)
% 0.55/0.75 % (26047)Refutation not found, incomplete strategy% (26047)------------------------------
% 0.55/0.75 % (26047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26047)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26047)Memory used [KB]: 1004
% 0.55/0.75 % (26047)Time elapsed: 0.005 s
% 0.55/0.75 % (26047)Instructions burned: 7 (million)
% 0.55/0.75 % (26047)------------------------------
% 0.55/0.75 % (26047)------------------------------
% 0.55/0.75 % (26052)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 Vampire---4 for (2996ds/243Mi)
% 0.55/0.75 % (26049)Refutation not found, incomplete strategy% (26049)------------------------------
% 0.55/0.75 % (26049)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26049)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26049)Memory used [KB]: 1073
% 0.55/0.75 % (26049)Time elapsed: 0.005 s
% 0.55/0.75 % (26051)Refutation not found, incomplete strategy% (26051)------------------------------
% 0.55/0.75 % (26051)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (26049)Instructions burned: 7 (million)
% 0.55/0.75 % (26049)------------------------------
% 0.55/0.75 % (26049)------------------------------
% 0.55/0.75 % (26051)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (26051)Memory used [KB]: 1030
% 0.55/0.75 % (26051)Time elapsed: 0.004 s
% 0.55/0.75 % (26051)Instructions burned: 4 (million)
% 0.55/0.75 % (26051)------------------------------
% 0.55/0.75 % (26051)------------------------------
% 0.55/0.76 % (26039)First to succeed.
% 0.55/0.76 % (26048)Refutation not found, incomplete strategy% (26048)------------------------------
% 0.55/0.76 % (26048)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (26053)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.55/0.76 % (26048)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (26048)Memory used [KB]: 1125
% 0.55/0.76 % (26048)Time elapsed: 0.010 s
% 0.55/0.76 % (26048)Instructions burned: 14 (million)
% 0.55/0.76 % (26048)------------------------------
% 0.55/0.76 % (26048)------------------------------
% 0.55/0.76 % (26054)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 Vampire---4 for (2996ds/143Mi)
% 0.55/0.76 % (26055)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 Vampire---4 for (2996ds/93Mi)
% 0.55/0.76 % (26039)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (26039)------------------------------
% 0.55/0.76 % (26039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (26039)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (26039)Memory used [KB]: 1554
% 0.55/0.76 % (26039)Time elapsed: 0.018 s
% 0.55/0.76 % (26039)Instructions burned: 55 (million)
% 0.55/0.76 % (26039)------------------------------
% 0.55/0.76 % (26039)------------------------------
% 0.55/0.76 % (26010)Success in time 0.398 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------