TSTP Solution File: GRP279-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP279-1 : 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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:47:11 EDT 2024
% Result : Unsatisfiable 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 47
% Syntax : Number of formulae : 251 ( 4 unt; 0 def)
% Number of atoms : 1180 ( 284 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1839 ( 910 ~; 914 |; 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 : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1940,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,f608,f649,f669,f677,f1144,f1753,f1793,f1832,f1866,f1935]) ).
fof(f1935,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1934,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_c8 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f93,plain,
( spl0_10
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f102,plain,
( spl0_11
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
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(f1934,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1919,f1851]) ).
fof(f1851,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1596,f1694]) ).
fof(f1694,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f678,f1519]) ).
fof(f1519,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1102,f1107]) ).
fof(f1107,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f691,f1097]) ).
fof(f1097,plain,
( sk_c8 = sk_c3
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1085,f751]) ).
fof(f751,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f691,f86]) ).
fof(f86,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f1085,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f691,f1028]) ).
fof(f1028,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1027,f702]) ).
fof(f702,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f697,f39]) ).
fof(f39,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f697,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f689,f68]) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f689,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f688,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',left_identity) ).
fof(f688,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f678]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',associativity) ).
fof(f1027,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1021,f39]) ).
fof(f1021,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8)
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f684,f104]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f684,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f86]) ).
fof(f691,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f690,f1]) ).
fof(f690,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f679]) ).
fof(f679,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f95]) ).
fof(f95,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',left_inverse) ).
fof(f1102,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(forward_demodulation,[],[f1100,f1097]) ).
fof(f1100,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f3,f1085]) ).
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(f1596,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1105,f1519]) ).
fof(f1105,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f679,f1097]) ).
fof(f1919,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1915]) ).
fof(f1915,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,[],[f1869,f1449]) ).
fof(f1449,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1086,f1107]) ).
fof(f1086,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f3,f1028]) ).
fof(f1869,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,[],[f1868,f1699]) ).
fof(f1699,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1693,f702]) ).
fof(f1693,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f39,f1519]) ).
fof(f1868,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,[],[f1867,f1699]) ).
fof(f1867,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f702]) ).
fof(f121,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f1866,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1865,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1864]) ).
fof(f1864,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1863,f702]) ).
fof(f1863,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1862,f1068]) ).
fof(f1068,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1020,f86]) ).
fof(f1020,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f684,f751]) ).
fof(f1862,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f42,f1699]) ).
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(f1832,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1831,f111,f102,f93,f84,f75,f66,f41,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(f1831,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1810,f1595]) ).
fof(f1595,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1594,f1592]) ).
fof(f1592,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1591,f1418]) ).
fof(f1418,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1411,f689]) ).
fof(f1411,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f696,f702]) ).
fof(f696,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f695,f1]) ).
fof(f695,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f693,f3]) ).
fof(f693,plain,
( ! [X0] : multiply(multiply(sk_c7,identity),X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f3,f687]) ).
fof(f687,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,sk_c1)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f129,f678]) ).
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(f1591,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f974,f1581]) ).
fof(f1581,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1580,f1519]) ).
fof(f1580,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1579,f1449]) ).
fof(f1579,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1435,f1559]) ).
fof(f1559,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1529,f1558]) ).
fof(f1558,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1557,f1102]) ).
fof(f1557,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1527,f702]) ).
fof(f1527,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f129,f1102]) ).
fof(f1529,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1526,f683]) ).
fof(f683,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f68]) ).
fof(f1526,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f683,f1102]) ).
fof(f1435,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f683,f1019]) ).
fof(f1019,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f684,f691]) ).
fof(f974,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f683,f678]) ).
fof(f1594,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1593,f1519]) ).
fof(f1593,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1022,f1454]) ).
fof(f1454,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1086,f678]) ).
fof(f1022,plain,
( multiply(sk_c8,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f684,f679]) ).
fof(f1810,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1806]) ).
fof(f1806,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1794,f1449]) ).
fof(f1794,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f1598]) ).
fof(f1598,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1129,f1418]) ).
fof(f1129,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1126,f68]) ).
fof(f1126,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f683,f1068]) ).
fof(f112,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f1793,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1792,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1791]) ).
fof(f1791,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f1783,f1581]) ).
fof(f1783,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1782]) ).
fof(f1782,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1779,f1068]) ).
fof(f1779,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f1758,f77]) ).
fof(f1758,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f1598]) ).
fof(f115,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_13
<=> ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1753,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1752,f117,f102,f93,f84,f75,f66,f41,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(f1752,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1731,f1595]) ).
fof(f1731,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1727]) ).
fof(f1727,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f1607,f1449]) ).
fof(f1607,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f1598]) ).
fof(f118,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1144,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1143,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1142]) ).
fof(f1142,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f747,f1130]) ).
fof(f1130,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1129,f717]) ).
fof(f717,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f712,f136]) ).
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(f46,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f712,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sk_c7,X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f147,f702]) ).
fof(f147,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f129,f136]) ).
fof(f747,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f710,f732]) ).
fof(f732,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f717,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(f710,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f62,f702]) ).
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(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(f669,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f656,f183]) ).
fof(f183,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f53,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(f656,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f655,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f654,f176]) ).
fof(f654,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f651,f138]) ).
fof(f651,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f650,f48]) ).
fof(f650,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f176]) ).
fof(f649,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f648,f120,f61,f56,f51,f46,f41,f46]) ).
fof(f648,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f624,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(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(f624,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f623]) ).
fof(f623,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f611,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(f611,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,[],[f610,f176]) ).
fof(f610,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,[],[f609,f176]) ).
fof(f609,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(f608,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f607,f117,f61,f56,f51,f46,f41,f46]) ).
fof(f607,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f583,f239]) ).
fof(f583,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f582]) ).
fof(f582,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f570,f214]) ).
fof(f570,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(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,X4] :
( 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 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4))
| 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 != multiply(X5,sk_c7)
| inverse(X4) != X5
| sk_c8 != multiply(X4,X5)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',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/tmp/tmp.stNvmDz4Qv/Vampire---4.8_12336',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:52:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 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.stNvmDz4Qv/Vampire---4.8_12336
% 0.60/0.77 % (12536)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)
% 0.60/0.77 % (12538)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)
% 0.60/0.77 % (12533)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77 % (12531)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)
% 0.60/0.77 % (12538)Refutation not found, incomplete strategy% (12538)------------------------------
% 0.60/0.77 % (12538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12538)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12538)Memory used [KB]: 984
% 0.60/0.77 % (12538)Time elapsed: 0.002 s
% 0.60/0.77 % (12538)Instructions burned: 4 (million)
% 0.60/0.77 % (12532)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)
% 0.60/0.77 % (12534)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)
% 0.60/0.77 % (12535)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)
% 0.60/0.77 % (12538)------------------------------
% 0.60/0.77 % (12538)------------------------------
% 0.60/0.77 % (12537)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)
% 0.60/0.77 % (12536)Refutation not found, incomplete strategy% (12536)------------------------------
% 0.60/0.77 % (12536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12536)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12536)Memory used [KB]: 987
% 0.60/0.77 % (12536)Time elapsed: 0.003 s
% 0.60/0.77 % (12536)Instructions burned: 5 (million)
% 0.60/0.77 % (12536)------------------------------
% 0.60/0.77 % (12536)------------------------------
% 0.60/0.77 % (12531)Refutation not found, incomplete strategy% (12531)------------------------------
% 0.60/0.77 % (12531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12534)Refutation not found, incomplete strategy% (12534)------------------------------
% 0.60/0.77 % (12534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12534)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12534)Memory used [KB]: 989
% 0.60/0.77 % (12534)Time elapsed: 0.003 s
% 0.60/0.77 % (12534)Instructions burned: 4 (million)
% 0.60/0.77 % (12531)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12531)Memory used [KB]: 999
% 0.60/0.77 % (12531)Time elapsed: 0.004 s
% 0.60/0.77 % (12531)Instructions burned: 4 (million)
% 0.60/0.77 % (12535)Refutation not found, incomplete strategy% (12535)------------------------------
% 0.60/0.77 % (12535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12535)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12534)------------------------------
% 0.60/0.77 % (12534)------------------------------
% 0.60/0.77 % (12535)Memory used [KB]: 998
% 0.60/0.77 % (12535)Time elapsed: 0.004 s
% 0.60/0.77 % (12535)Instructions burned: 4 (million)
% 0.60/0.77 % (12531)------------------------------
% 0.60/0.77 % (12531)------------------------------
% 0.60/0.77 % (12533)Refutation not found, incomplete strategy% (12533)------------------------------
% 0.60/0.77 % (12533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12535)------------------------------
% 0.60/0.77 % (12535)------------------------------
% 0.60/0.77 % (12533)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12533)Memory used [KB]: 1053
% 0.60/0.77 % (12533)Time elapsed: 0.004 s
% 0.60/0.77 % (12533)Instructions burned: 5 (million)
% 0.60/0.77 % (12542)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)
% 0.60/0.77 % (12533)------------------------------
% 0.60/0.77 % (12533)------------------------------
% 0.60/0.77 % (12543)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)
% 0.60/0.77 % (12537)Refutation not found, incomplete strategy% (12537)------------------------------
% 0.60/0.77 % (12537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12537)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12537)Memory used [KB]: 1067
% 0.60/0.77 % (12537)Time elapsed: 0.005 s
% 0.60/0.77 % (12537)Instructions burned: 6 (million)
% 0.60/0.77 % (12537)------------------------------
% 0.60/0.77 % (12537)------------------------------
% 0.60/0.77 % (12542)Refutation not found, incomplete strategy% (12542)------------------------------
% 0.60/0.77 % (12542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12542)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12542)Memory used [KB]: 1063
% 0.60/0.77 % (12542)Time elapsed: 0.003 s
% 0.60/0.77 % (12542)Instructions burned: 5 (million)
% 0.60/0.77 % (12543)Refutation not found, incomplete strategy% (12543)------------------------------
% 0.60/0.77 % (12543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (12543)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12543)Memory used [KB]: 991
% 0.60/0.77 % (12543)Time elapsed: 0.002 s
% 0.60/0.77 % (12543)Instructions burned: 5 (million)
% 0.60/0.77 % (12542)------------------------------
% 0.60/0.77 % (12542)------------------------------
% 0.60/0.77 % (12543)------------------------------
% 0.60/0.77 % (12543)------------------------------
% 0.60/0.77 % (12546)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)
% 0.60/0.77 % (12547)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)
% 0.60/0.77 % (12548)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)
% 0.60/0.78 % (12553)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)
% 0.60/0.78 % (12549)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)
% 0.60/0.78 % (12552)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)
% 0.60/0.78 % (12552)Refutation not found, incomplete strategy% (12552)------------------------------
% 0.60/0.78 % (12552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12552)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12552)Memory used [KB]: 985
% 0.60/0.78 % (12552)Time elapsed: 0.024 s
% 0.60/0.78 % (12552)Instructions burned: 4 (million)
% 0.60/0.78 % (12553)Refutation not found, incomplete strategy% (12553)------------------------------
% 0.60/0.78 % (12553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12553)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12553)Memory used [KB]: 1000
% 0.60/0.78 % (12553)Time elapsed: 0.025 s
% 0.60/0.78 % (12553)Instructions burned: 4 (million)
% 0.60/0.78 % (12552)------------------------------
% 0.60/0.78 % (12552)------------------------------
% 0.60/0.78 % (12553)------------------------------
% 0.60/0.78 % (12553)------------------------------
% 0.60/0.78 % (12551)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)
% 0.60/0.78 % (12549)Refutation not found, incomplete strategy% (12549)------------------------------
% 0.60/0.78 % (12549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12549)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12549)Memory used [KB]: 1005
% 0.60/0.78 % (12549)Time elapsed: 0.004 s
% 0.60/0.78 % (12549)Instructions burned: 4 (million)
% 0.60/0.78 % (12548)Refutation not found, incomplete strategy% (12548)------------------------------
% 0.60/0.78 % (12548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12548)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12548)Memory used [KB]: 986
% 0.60/0.78 % (12547)Refutation not found, incomplete strategy% (12547)------------------------------
% 0.60/0.78 % (12547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12548)Time elapsed: 0.005 s
% 0.60/0.78 % (12548)Instructions burned: 5 (million)
% 0.60/0.78 % (12547)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12549)------------------------------
% 0.60/0.78 % (12549)------------------------------
% 0.60/0.78 % (12547)Memory used [KB]: 1053
% 0.60/0.78 % (12547)Time elapsed: 0.004 s
% 0.60/0.78 % (12547)Instructions burned: 5 (million)
% 0.60/0.78 % (12548)------------------------------
% 0.60/0.78 % (12548)------------------------------
% 0.60/0.78 % (12547)------------------------------
% 0.60/0.78 % (12547)------------------------------
% 0.60/0.78 % (12556)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 (2995ds/93Mi)
% 0.60/0.78 % (12557)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 Vampire---4 for (2995ds/62Mi)
% 0.60/0.78 % (12546)Refutation not found, incomplete strategy% (12546)------------------------------
% 0.60/0.78 % (12546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12546)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12546)Memory used [KB]: 1083
% 0.60/0.78 % (12546)Time elapsed: 0.007 s
% 0.60/0.78 % (12546)Instructions burned: 10 (million)
% 0.60/0.78 % (12557)Refutation not found, incomplete strategy% (12557)------------------------------
% 0.60/0.78 % (12557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12557)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12557)Memory used [KB]: 985
% 0.60/0.78 % (12557)Time elapsed: 0.002 s
% 0.60/0.78 % (12557)Instructions burned: 3 (million)
% 0.60/0.78 % (12546)------------------------------
% 0.60/0.78 % (12546)------------------------------
% 0.60/0.78 % (12557)------------------------------
% 0.60/0.78 % (12557)------------------------------
% 0.60/0.78 % (12559)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 Vampire---4 for (2995ds/32Mi)
% 0.60/0.78 % (12560)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 Vampire---4 for (2995ds/1919Mi)
% 0.60/0.78 % (12561)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 Vampire---4 for (2995ds/55Mi)
% 0.60/0.78 % (12564)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 Vampire---4 for (2995ds/53Mi)
% 0.60/0.78 % (12565)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 Vampire---4 for (2995ds/46Mi)
% 0.60/0.78 % (12561)Refutation not found, incomplete strategy% (12561)------------------------------
% 0.60/0.78 % (12561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12560)Refutation not found, incomplete strategy% (12560)------------------------------
% 0.60/0.78 % (12560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12560)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12560)Memory used [KB]: 1053
% 0.60/0.78 % (12560)Time elapsed: 0.005 s
% 0.60/0.78 % (12560)Instructions burned: 5 (million)
% 0.60/0.78 % (12561)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.79 % (12561)Memory used [KB]: 1006
% 0.60/0.79 % (12561)Time elapsed: 0.004 s
% 0.60/0.79 % (12561)Instructions burned: 5 (million)
% 0.60/0.79 % (12560)------------------------------
% 0.60/0.79 % (12560)------------------------------
% 0.60/0.79 % (12561)------------------------------
% 0.60/0.79 % (12561)------------------------------
% 0.60/0.79 % (12565)Refutation not found, incomplete strategy% (12565)------------------------------
% 0.60/0.79 % (12565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (12565)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (12565)Memory used [KB]: 998
% 0.60/0.79 % (12565)Time elapsed: 0.003 s
% 0.60/0.79 % (12565)Instructions burned: 4 (million)
% 0.60/0.79 % (12565)------------------------------
% 0.60/0.79 % (12565)------------------------------
% 0.60/0.79 % (12567)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 Vampire---4 for (2995ds/102Mi)
% 0.60/0.79 % (12568)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 Vampire---4 for (2995ds/35Mi)
% 0.60/0.79 % (12569)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.60/0.79 % (12567)Refutation not found, incomplete strategy% (12567)------------------------------
% 0.60/0.79 % (12567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (12567)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (12567)Memory used [KB]: 1070
% 0.60/0.79 % (12567)Time elapsed: 0.006 s
% 0.60/0.79 % (12567)Instructions burned: 6 (million)
% 0.60/0.79 % (12567)------------------------------
% 0.60/0.79 % (12567)------------------------------
% 0.60/0.79 % (12532)First to succeed.
% 0.60/0.80 % (12559)Instruction limit reached!
% 0.60/0.80 % (12559)------------------------------
% 0.60/0.80 % (12559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (12559)Termination reason: Unknown
% 0.60/0.80 % (12559)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (12559)Memory used [KB]: 1430
% 0.60/0.80 % (12559)Time elapsed: 0.017 s
% 0.60/0.80 % (12559)Instructions burned: 32 (million)
% 0.60/0.80 % (12559)------------------------------
% 0.60/0.80 % (12559)------------------------------
% 0.60/0.80 % (12532)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12493"
% 0.60/0.80 % (12572)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.60/0.80 % (12564)Instruction limit reached!
% 0.60/0.80 % (12564)------------------------------
% 0.60/0.80 % (12564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (12564)Termination reason: Unknown
% 0.60/0.80 % (12564)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (12564)Memory used [KB]: 1197
% 0.60/0.80 % (12564)Time elapsed: 0.016 s
% 0.60/0.80 % (12564)Instructions burned: 55 (million)
% 0.60/0.80 % (12564)------------------------------
% 0.60/0.80 % (12564)------------------------------
% 0.60/0.80 % (12532)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (12532)------------------------------
% 0.60/0.80 % (12532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (12532)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (12532)Memory used [KB]: 1434
% 0.60/0.80 % (12532)Time elapsed: 0.031 s
% 0.60/0.80 % (12532)Instructions burned: 55 (million)
% 0.60/0.80 % (12493)Success in time 0.438 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------