TSTP Solution File: GRP304-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP304-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:16 EDT 2022
% Result : Unsatisfiable 2.17s 0.63s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 53
% Syntax : Number of formulae : 305 ( 30 unt; 0 def)
% Number of atoms : 1158 ( 350 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1659 ( 806 ~; 835 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1643,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f76,f81,f86,f91,f100,f101,f102,f103,f104,f105,f106,f107,f108,f119,f120,f121,f122,f124,f125,f126,f157,f163,f272,f314,f323,f357,f443,f495,f614,f1129,f1156,f1448,f1522,f1537,f1573,f1596,f1640]) ).
fof(f1640,plain,
( ~ spl10_1
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f1639]) ).
fof(f1639,plain,
( $false
| ~ spl10_1
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f1638,f1598]) ).
fof(f1598,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f1597,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1597,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f984,f1549]) ).
fof(f1549,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f996,f1548]) ).
fof(f1548,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f1532,f1542]) ).
fof(f1542,plain,
( sk_c2 = sk_c3
| ~ spl10_5
| ~ spl10_8 ),
inference(backward_demodulation,[],[f1157,f1541]) ).
fof(f1541,plain,
( sk_c2 = multiply(sF6,identity)
| ~ spl10_5 ),
inference(forward_demodulation,[],[f1455,f37]) ).
fof(f37,plain,
inverse(sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f1455,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f217,f80]) ).
fof(f80,plain,
( sk_c7 = sF3
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl10_5
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f217,plain,
sk_c2 = multiply(inverse(sF3),identity),
inference(superposition,[],[f190,f132]) ).
fof(f132,plain,
identity = multiply(sF3,sk_c2),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
inverse(sk_c2) = sF3,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f190,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f182,f1]) ).
fof(f182,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1157,plain,
( sk_c3 = multiply(sF6,identity)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f715,f37]) ).
fof(f715,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f218,f95]) ).
fof(f95,plain,
( sk_c7 = sF8
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl10_8
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f218,plain,
sk_c3 = multiply(inverse(sF8),identity),
inference(superposition,[],[f190,f133]) ).
fof(f133,plain,
identity = multiply(sF8,sk_c3),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f1532,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f790,f1368]) ).
fof(f1368,plain,
( identity = sk_c4
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f1367,f2]) ).
fof(f1367,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f498,f980]) ).
fof(f980,plain,
( sk_c7 = sk_c6
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f75,f977]) ).
fof(f977,plain,
( sk_c7 = sF7
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f39,f976]) ).
fof(f976,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f975,f95]) ).
fof(f975,plain,
( sk_c7 = multiply(sF8,sk_c4)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f222,f90]) ).
fof(f90,plain,
( sk_c4 = sF1
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl10_7
<=> sk_c4 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f222,plain,
sk_c7 = multiply(sF8,sF1),
inference(forward_demodulation,[],[f215,f41]) ).
fof(f215,plain,
sk_c7 = multiply(inverse(sk_c3),sF1),
inference(superposition,[],[f190,f28]) ).
fof(f28,plain,
multiply(sk_c3,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f39,plain,
multiply(sk_c7,sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f75,plain,
( sk_c6 = sF7
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl10_4
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f498,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c6)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f210,f75]) ).
fof(f210,plain,
sk_c4 = multiply(inverse(sk_c7),sF7),
inference(superposition,[],[f190,f39]) ).
fof(f790,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f28,f90]) ).
fof(f996,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f973,f980]) ).
fof(f973,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f35,f62]) ).
fof(f62,plain,
( sk_c6 = sF5
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl10_1
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f35,plain,
multiply(sk_c2,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f984,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f123,f980]) ).
fof(f123,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(forward_demodulation,[],[f49,f50]) ).
fof(f50,plain,
sk_c5 = sF9,
inference(definition_folding,[],[f4,f49]) ).
fof(f4,axiom,
multiply(sk_c7,sk_c6) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f49,plain,
multiply(sk_c7,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f1638,plain,
( identity != sk_c5
| ~ spl10_1
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f70,f1632]) ).
fof(f1632,plain,
( identity = sF4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f1631,f1]) ).
fof(f1631,plain,
( multiply(identity,identity) = sF4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f1630,f1554]) ).
fof(f1554,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f980,f1549]) ).
fof(f1630,plain,
( sF4 = multiply(sk_c6,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f33,f1549]) ).
fof(f33,plain,
multiply(sk_c6,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f70,plain,
( sk_c5 != sF4
| spl10_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl10_3
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f1596,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_24 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1595,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_24 ),
inference(subsumption_resolution,[],[f1594,f1569]) ).
fof(f1569,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_24 ),
inference(backward_demodulation,[],[f365,f1566]) ).
fof(f1566,plain,
( identity = sk_c2
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f1541,f1565]) ).
fof(f1565,plain,
( ! [X0] : multiply(sF6,X0) = X0
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f205,f1550]) ).
fof(f1550,plain,
( sF6 = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f37,f1549]) ).
fof(f205,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f190,f1]) ).
fof(f365,plain,
( identity != inverse(sk_c2)
| spl10_24 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl10_24
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f1594,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f1593,f1549]) ).
fof(f1593,plain,
( sk_c7 = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f617,f1566]) ).
fof(f617,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f31,f80]) ).
fof(f1573,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_15 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1572,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_15 ),
inference(subsumption_resolution,[],[f1562,f1]) ).
fof(f1562,plain,
( identity != multiply(identity,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_15 ),
inference(backward_demodulation,[],[f1534,f1549]) ).
fof(f1534,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| spl10_15 ),
inference(forward_demodulation,[],[f152,f980]) ).
fof(f152,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl10_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl10_15
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f1537,plain,
( ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| spl10_17
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f1536,plain,
( $false
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| spl10_17
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f1452,f980]) ).
fof(f1452,plain,
( sk_c7 != sk_c6
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| spl10_17
| ~ spl10_22 ),
inference(forward_demodulation,[],[f1451,f1369]) ).
fof(f1369,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f976,f1368]) ).
fof(f1451,plain,
( sk_c6 != multiply(sk_c7,identity)
| spl10_17
| ~ spl10_22 ),
inference(backward_demodulation,[],[f162,f350]) ).
fof(f350,plain,
( identity = sF1
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl10_22
<=> identity = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f162,plain,
( sk_c6 != multiply(sk_c7,sF1)
| spl10_17 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl10_17
<=> sk_c6 = multiply(sk_c7,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f1522,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| spl10_16 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| spl10_16 ),
inference(subsumption_resolution,[],[f1520,f1471]) ).
fof(f1471,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| spl10_16 ),
inference(backward_demodulation,[],[f156,f1467]) ).
fof(f1467,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f1369,f1464]) ).
fof(f1464,plain,
( ! [X11] : multiply(sk_c7,X11) = X11
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f997,f1462]) ).
fof(f1462,plain,
( ! [X12] : multiply(sk_c2,multiply(sk_c7,X12)) = X12
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f1445,f1457]) ).
fof(f1457,plain,
( sk_c2 = sk_c3
| ~ spl10_5
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f1255,f1456]) ).
fof(f1456,plain,
( sk_c2 = multiply(sk_c5,identity)
| ~ spl10_5
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1455,f1330]) ).
fof(f1330,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl10_9 ),
inference(forward_demodulation,[],[f37,f99]) ).
fof(f99,plain,
( sk_c5 = sF6
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl10_9
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f1255,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f1157,f99]) ).
fof(f1445,plain,
( ! [X12] : multiply(sk_c3,multiply(sk_c7,X12)) = X12
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f1444,f1]) ).
fof(f1444,plain,
( ! [X12] : multiply(sk_c3,multiply(sk_c7,X12)) = multiply(identity,X12)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f972,f1368]) ).
fof(f972,plain,
( ! [X12] : multiply(sk_c3,multiply(sk_c7,X12)) = multiply(sk_c4,X12)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f187,f90]) ).
fof(f187,plain,
! [X12] : multiply(sk_c3,multiply(sk_c7,X12)) = multiply(sF1,X12),
inference(superposition,[],[f3,f28]) ).
fof(f997,plain,
( ! [X11] : multiply(sk_c2,multiply(sk_c7,X11)) = multiply(sk_c7,X11)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f978,f980]) ).
fof(f978,plain,
( ! [X11] : multiply(sk_c6,X11) = multiply(sk_c2,multiply(sk_c7,X11))
| ~ spl10_1 ),
inference(forward_demodulation,[],[f186,f62]) ).
fof(f186,plain,
! [X11] : multiply(sF5,X11) = multiply(sk_c2,multiply(sk_c7,X11)),
inference(superposition,[],[f3,f35]) ).
fof(f156,plain,
( sk_c7 != inverse(identity)
| spl10_16 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl10_16
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f1520,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1519,f1467]) ).
fof(f1519,plain,
( sk_c7 = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(forward_demodulation,[],[f617,f1487]) ).
fof(f1487,plain,
( identity = sk_c2
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f1456,f1486]) ).
fof(f1486,plain,
( ! [X8] : multiply(sk_c5,X8) = X8
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1485,f1]) ).
fof(f1485,plain,
( ! [X8] : multiply(sk_c5,X8) = multiply(identity,X8)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1466,f1467]) ).
fof(f1466,plain,
( ! [X8] : multiply(sk_c5,X8) = multiply(sk_c7,X8)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f988,f1464]) ).
fof(f988,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c7,X8)) = multiply(sk_c5,X8)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f183,f980]) ).
fof(f183,plain,
! [X8] : multiply(sk_c5,X8) = multiply(sk_c7,multiply(sk_c6,X8)),
inference(superposition,[],[f3,f123]) ).
fof(f1448,plain,
( spl10_22
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f1391,f93,f88,f73,f349]) ).
fof(f1391,plain,
( identity = sF1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f90,f1368]) ).
fof(f1156,plain,
( ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15
| ~ spl10_24 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1155,plain,
( $false
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15
| ~ spl10_24 ),
inference(subsumption_resolution,[],[f1149,f1103]) ).
fof(f1103,plain,
( identity = inverse(identity)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15
| ~ spl10_24 ),
inference(forward_demodulation,[],[f364,f1080]) ).
fof(f1080,plain,
( identity = sk_c2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1079,f2]) ).
fof(f1079,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(forward_demodulation,[],[f217,f1075]) ).
fof(f1075,plain,
( identity = sF3
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(forward_demodulation,[],[f80,f1007]) ).
fof(f1007,plain,
( identity = sk_c7
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1006,f2]) ).
fof(f1006,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(forward_demodulation,[],[f991,f998]) ).
fof(f998,plain,
( sk_c7 = sk_c5
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(backward_demodulation,[],[f984,f987]) ).
fof(f987,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(backward_demodulation,[],[f151,f980]) ).
fof(f151,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f991,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(backward_demodulation,[],[f211,f980]) ).
fof(f211,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl10_3 ),
inference(superposition,[],[f190,f127]) ).
fof(f127,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl10_3 ),
inference(backward_demodulation,[],[f33,f71]) ).
fof(f71,plain,
( sk_c5 = sF4
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f364,plain,
( identity = inverse(sk_c2)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f1149,plain,
( identity != inverse(identity)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15 ),
inference(trivial_inequality_removal,[],[f1145]) ).
fof(f1145,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15 ),
inference(superposition,[],[f1138,f1]) ).
fof(f1138,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1137,f1020]) ).
fof(f1020,plain,
( identity = sk_c6
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(backward_demodulation,[],[f980,f1007]) ).
fof(f1137,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1136,f1007]) ).
fof(f1136,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c6 != inverse(X3) )
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f115,f1020]) ).
fof(f115,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl10_11
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f1129,plain,
( ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_9
| ~ spl10_15
| ~ spl10_24 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1128,plain,
( $false
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_9
| ~ spl10_15
| ~ spl10_24 ),
inference(subsumption_resolution,[],[f1127,f1029]) ).
fof(f1029,plain,
( identity = sk_c5
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(backward_demodulation,[],[f998,f1007]) ).
fof(f1127,plain,
( identity != sk_c5
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| spl10_9
| ~ spl10_15
| ~ spl10_24 ),
inference(forward_demodulation,[],[f98,f1112]) ).
fof(f1112,plain,
( identity = sF6
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15
| ~ spl10_24 ),
inference(forward_demodulation,[],[f1111,f1103]) ).
fof(f1111,plain,
( sF6 = inverse(identity)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_15 ),
inference(forward_demodulation,[],[f37,f1007]) ).
fof(f98,plain,
( sk_c5 != sF6
| spl10_9 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f614,plain,
( ~ spl10_12
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| ~ spl10_12
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(subsumption_resolution,[],[f612,f508]) ).
fof(f508,plain,
( identity = inverse(identity)
| ~ spl10_24 ),
inference(backward_demodulation,[],[f364,f506]) ).
fof(f506,plain,
( identity = sk_c2
| ~ spl10_24 ),
inference(forward_demodulation,[],[f504,f2]) ).
fof(f504,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl10_24 ),
inference(backward_demodulation,[],[f217,f502]) ).
fof(f502,plain,
( identity = sF3
| ~ spl10_24 ),
inference(forward_demodulation,[],[f31,f364]) ).
fof(f612,plain,
( identity != inverse(identity)
| ~ spl10_12
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(forward_demodulation,[],[f608,f508]) ).
fof(f608,plain,
( identity != inverse(inverse(identity))
| ~ spl10_12
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(trivial_inequality_removal,[],[f607]) ).
fof(f607,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_12
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(superposition,[],[f532,f2]) ).
fof(f532,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_12
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(forward_demodulation,[],[f531,f522]) ).
fof(f522,plain,
( identity = sk_c6
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(forward_demodulation,[],[f513,f1]) ).
fof(f513,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl10_15
| ~ spl10_16
| ~ spl10_24 ),
inference(backward_demodulation,[],[f151,f509]) ).
fof(f509,plain,
( identity = sk_c7
| ~ spl10_16
| ~ spl10_24 ),
inference(backward_demodulation,[],[f155,f508]) ).
fof(f155,plain,
( sk_c7 = inverse(identity)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f531,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_12
| ~ spl10_16
| ~ spl10_24 ),
inference(forward_demodulation,[],[f511,f509]) ).
fof(f511,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl10_12
| ~ spl10_16
| ~ spl10_24 ),
inference(backward_demodulation,[],[f118,f509]) ).
fof(f118,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl10_12
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f495,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12
| ~ spl10_15
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12
| ~ spl10_15
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f493,f458]) ).
fof(f458,plain,
( identity = inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_15
| ~ spl10_20 ),
inference(forward_demodulation,[],[f324,f239]) ).
fof(f239,plain,
( identity = sk_c7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f236,f2]) ).
fof(f236,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f211,f225]) ).
fof(f225,plain,
( sk_c6 = sk_c5
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f127,f224]) ).
fof(f224,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl10_2
| ~ spl10_6 ),
inference(forward_demodulation,[],[f216,f128]) ).
fof(f128,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f30,f85]) ).
fof(f85,plain,
( sk_c6 = sF2
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl10_6
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f30,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f216,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl10_2 ),
inference(superposition,[],[f190,f130]) ).
fof(f130,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f27,f66]) ).
fof(f66,plain,
( sk_c7 = sF0
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl10_2
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f27,plain,
multiply(sk_c1,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f324,plain,
( sk_c7 = inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_15
| ~ spl10_20 ),
inference(forward_demodulation,[],[f177,f298]) ).
fof(f298,plain,
( identity = sk_c5
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_15 ),
inference(backward_demodulation,[],[f225,f296]) ).
fof(f296,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_15 ),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f295,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_15 ),
inference(forward_demodulation,[],[f151,f239]) ).
fof(f177,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl10_20
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f493,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12
| ~ spl10_15
| ~ spl10_20 ),
inference(forward_demodulation,[],[f489,f458]) ).
fof(f489,plain,
( identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12
| ~ spl10_15 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f488,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12
| ~ spl10_15 ),
inference(superposition,[],[f482,f2]) ).
fof(f482,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12
| ~ spl10_15 ),
inference(forward_demodulation,[],[f481,f296]) ).
fof(f481,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12 ),
inference(forward_demodulation,[],[f480,f239]) ).
fof(f480,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_12 ),
inference(forward_demodulation,[],[f118,f239]) ).
fof(f443,plain,
( spl10_22
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f442,f150,f88,f83,f73,f69,f64,f349]) ).
fof(f442,plain,
( identity = sF1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_15 ),
inference(backward_demodulation,[],[f90,f439]) ).
fof(f439,plain,
( identity = sk_c4
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_15 ),
inference(backward_demodulation,[],[f265,f438]) ).
fof(f438,plain,
( identity = sF7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_15 ),
inference(forward_demodulation,[],[f75,f296]) ).
fof(f265,plain,
( sk_c4 = sF7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f242,f1]) ).
fof(f242,plain,
( sF7 = multiply(identity,sk_c4)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f39,f239]) ).
fof(f357,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f355,f306]) ).
fof(f306,plain,
( identity = inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_15 ),
inference(backward_demodulation,[],[f267,f296]) ).
fof(f267,plain,
( sk_c6 = inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(forward_demodulation,[],[f230,f239]) ).
fof(f230,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f129,f225]) ).
fof(f129,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f37,f99]) ).
fof(f355,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f342,f306]) ).
fof(f342,plain,
( identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_15 ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f339,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_15 ),
inference(superposition,[],[f319,f2]) ).
fof(f319,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f318,f296]) ).
fof(f318,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c6 != inverse(X3) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f317,f239]) ).
fof(f317,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c6 != inverse(X3) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f115,f296]) ).
fof(f323,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_15
| spl10_20 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_15
| spl10_20 ),
inference(subsumption_resolution,[],[f321,f306]) ).
fof(f321,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_15
| spl10_20 ),
inference(forward_demodulation,[],[f279,f296]) ).
fof(f279,plain,
( identity != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| spl10_20 ),
inference(forward_demodulation,[],[f232,f239]) ).
fof(f232,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| spl10_20 ),
inference(backward_demodulation,[],[f178,f225]) ).
fof(f178,plain,
( sk_c7 != inverse(sk_c5)
| spl10_20 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f314,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_15
| spl10_16 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_15
| spl10_16 ),
inference(subsumption_resolution,[],[f312,f239]) ).
fof(f312,plain,
( identity != sk_c7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_15
| spl10_16 ),
inference(forward_demodulation,[],[f156,f306]) ).
fof(f272,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| spl10_15 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| spl10_15 ),
inference(subsumption_resolution,[],[f270,f264]) ).
fof(f264,plain,
( identity != sk_c6
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| spl10_15 ),
inference(forward_demodulation,[],[f249,f1]) ).
fof(f249,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| spl10_15 ),
inference(backward_demodulation,[],[f152,f239]) ).
fof(f270,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f257,f268]) ).
fof(f268,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f205,f267]) ).
fof(f257,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f224,f239]) ).
fof(f163,plain,
( ~ spl10_17
| ~ spl10_8
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f158,f111,f93,f160]) ).
fof(f111,plain,
( spl10_10
<=> ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f158,plain,
( sk_c7 != sF8
| sk_c6 != multiply(sk_c7,sF1)
| ~ spl10_10 ),
inference(forward_demodulation,[],[f139,f41]) ).
fof(f139,plain,
( sk_c7 != inverse(sk_c3)
| sk_c6 != multiply(sk_c7,sF1)
| ~ spl10_10 ),
inference(superposition,[],[f112,f28]) ).
fof(f112,plain,
( ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f157,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f135,f111,f154,f150]) ).
fof(f135,plain,
( sk_c7 != inverse(identity)
| sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl10_10 ),
inference(superposition,[],[f112,f1]) ).
fof(f126,plain,
( spl10_3
| spl10_1 ),
inference(avatar_split_clause,[],[f36,f60,f69]) ).
fof(f36,plain,
( sk_c6 = sF5
| sk_c5 = sF4 ),
inference(definition_folding,[],[f5,f33,f35]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f125,plain,
( spl10_6
| spl10_8 ),
inference(avatar_split_clause,[],[f55,f93,f83]) ).
fof(f55,plain,
( sk_c7 = sF8
| sk_c6 = sF2 ),
inference(definition_folding,[],[f24,f30,f41]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f124,plain,
( spl10_2
| spl10_8 ),
inference(avatar_split_clause,[],[f46,f93,f64]) ).
fof(f46,plain,
( sk_c7 = sF8
| sk_c7 = sF0 ),
inference(definition_folding,[],[f19,f41,f27]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f122,plain,
( spl10_5
| spl10_2 ),
inference(avatar_split_clause,[],[f48,f64,f78]) ).
fof(f48,plain,
( sk_c7 = sF0
| sk_c7 = sF3 ),
inference(definition_folding,[],[f16,f27,f31]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f121,plain,
( spl10_3
| spl10_7 ),
inference(avatar_split_clause,[],[f45,f88,f69]) ).
fof(f45,plain,
( sk_c4 = sF1
| sk_c5 = sF4 ),
inference(definition_folding,[],[f8,f28,f33]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f120,plain,
( spl10_3
| spl10_8 ),
inference(avatar_split_clause,[],[f52,f93,f69]) ).
fof(f52,plain,
( sk_c7 = sF8
| sk_c5 = sF4 ),
inference(definition_folding,[],[f9,f41,f33]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f119,plain,
( ~ spl10_9
| spl10_10
| ~ spl10_3
| spl10_11
| spl10_12 ),
inference(avatar_split_clause,[],[f109,f117,f114,f69,f111,f97]) ).
fof(f109,plain,
! [X3,X6,X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c6 != inverse(X3)
| sk_c5 != sF4
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X6)
| sk_c5 != sF6 ),
inference(subsumption_resolution,[],[f56,f50]) ).
fof(f56,plain,
! [X3,X6,X4] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c5 != sF9
| sk_c5 != sF4
| sk_c5 != sF6
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ),
inference(definition_folding,[],[f26,f33,f37,f49]) ).
fof(f26,plain,
! [X3,X6,X4] :
( sk_c7 != inverse(X4)
| sk_c7 != inverse(X6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c7 != inverse(X6)
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(X6,sk_c7) != X5
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,X5)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f108,plain,
( spl10_9
| spl10_7 ),
inference(avatar_split_clause,[],[f38,f88,f97]) ).
fof(f38,plain,
( sk_c4 = sF1
| sk_c5 = sF6 ),
inference(definition_folding,[],[f13,f28,f37]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f107,plain,
( spl10_9
| spl10_1 ),
inference(avatar_split_clause,[],[f43,f60,f97]) ).
fof(f43,plain,
( sk_c6 = sF5
| sk_c5 = sF6 ),
inference(definition_folding,[],[f10,f37,f35]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f106,plain,
( spl10_6
| spl10_5 ),
inference(avatar_split_clause,[],[f32,f78,f83]) ).
fof(f32,plain,
( sk_c7 = sF3
| sk_c6 = sF2 ),
inference(definition_folding,[],[f21,f31,f30]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f105,plain,
( spl10_5
| spl10_9 ),
inference(avatar_split_clause,[],[f44,f97,f78]) ).
fof(f44,plain,
( sk_c5 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f11,f31,f37]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f104,plain,
( spl10_9
| spl10_4 ),
inference(avatar_split_clause,[],[f40,f73,f97]) ).
fof(f40,plain,
( sk_c6 = sF7
| sk_c5 = sF6 ),
inference(definition_folding,[],[f12,f39,f37]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f103,plain,
( spl10_6
| spl10_4 ),
inference(avatar_split_clause,[],[f54,f73,f83]) ).
fof(f54,plain,
( sk_c6 = sF7
| sk_c6 = sF2 ),
inference(definition_folding,[],[f22,f39,f30]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f102,plain,
( spl10_4
| spl10_2 ),
inference(avatar_split_clause,[],[f57,f64,f73]) ).
fof(f57,plain,
( sk_c7 = sF0
| sk_c6 = sF7 ),
inference(definition_folding,[],[f17,f39,f27]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f101,plain,
( spl10_7
| spl10_2 ),
inference(avatar_split_clause,[],[f29,f64,f88]) ).
fof(f29,plain,
( sk_c7 = sF0
| sk_c4 = sF1 ),
inference(definition_folding,[],[f18,f28,f27]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f100,plain,
( spl10_8
| spl10_9 ),
inference(avatar_split_clause,[],[f42,f97,f93]) ).
fof(f42,plain,
( sk_c5 = sF6
| sk_c7 = sF8 ),
inference(definition_folding,[],[f14,f37,f41]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f91,plain,
( spl10_7
| spl10_6 ),
inference(avatar_split_clause,[],[f58,f83,f88]) ).
fof(f58,plain,
( sk_c6 = sF2
| sk_c4 = sF1 ),
inference(definition_folding,[],[f23,f30,f28]) ).
fof(f23,axiom,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f86,plain,
( spl10_6
| spl10_1 ),
inference(avatar_split_clause,[],[f53,f60,f83]) ).
fof(f53,plain,
( sk_c6 = sF5
| sk_c6 = sF2 ),
inference(definition_folding,[],[f20,f30,f35]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f81,plain,
( spl10_3
| spl10_5 ),
inference(avatar_split_clause,[],[f34,f78,f69]) ).
fof(f34,plain,
( sk_c7 = sF3
| sk_c5 = sF4 ),
inference(definition_folding,[],[f6,f31,f33]) ).
fof(f6,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f76,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f51,f73,f69]) ).
fof(f51,plain,
( sk_c6 = sF7
| sk_c5 = sF4 ),
inference(definition_folding,[],[f7,f39,f33]) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f67,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f47,f64,f60]) ).
fof(f47,plain,
( sk_c7 = sF0
| sk_c6 = sF5 ),
inference(definition_folding,[],[f15,f35,f27]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP304-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:26:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (22620)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (22639)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (22626)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (22630)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51 % (22644)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51 % (22639)Refutation not found, incomplete strategy% (22639)------------------------------
% 0.20/0.51 % (22639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (22639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (22639)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (22639)Memory used [KB]: 5884
% 0.20/0.51 % (22639)Time elapsed: 0.065 s
% 0.20/0.51 % (22639)Instructions burned: 3 (million)
% 0.20/0.51 % (22639)------------------------------
% 0.20/0.51 % (22639)------------------------------
% 0.20/0.52 % (22623)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (22627)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52 % (22630)Instruction limit reached!
% 0.20/0.52 % (22630)------------------------------
% 0.20/0.52 % (22630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22630)Termination reason: Unknown
% 0.20/0.52 % (22630)Termination phase: Finite model building preprocessing
% 0.20/0.52
% 0.20/0.52 % (22630)Memory used [KB]: 5884
% 0.20/0.52 % (22630)Time elapsed: 0.006 s
% 0.20/0.52 % (22630)Instructions burned: 6 (million)
% 0.20/0.52 % (22630)------------------------------
% 0.20/0.52 % (22630)------------------------------
% 0.20/0.52 % (22635)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52 % (22616)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52 % (22635)Instruction limit reached!
% 0.20/0.52 % (22635)------------------------------
% 0.20/0.52 % (22635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22623)Instruction limit reached!
% 0.20/0.52 % (22623)------------------------------
% 0.20/0.52 % (22623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22623)Termination reason: Unknown
% 0.20/0.52 % (22623)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (22623)Memory used [KB]: 5884
% 0.20/0.52 % (22623)Time elapsed: 0.003 s
% 0.20/0.52 % (22623)Instructions burned: 3 (million)
% 0.20/0.52 % (22623)------------------------------
% 0.20/0.52 % (22623)------------------------------
% 0.20/0.52 % (22624)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (22619)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (22638)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53 % (22627)Instruction limit reached!
% 0.20/0.53 % (22627)------------------------------
% 0.20/0.53 % (22627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (22615)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (22635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (22635)Termination reason: Unknown
% 0.20/0.53 % (22635)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (22635)Memory used [KB]: 1407
% 0.20/0.53 % (22635)Time elapsed: 0.118 s
% 0.20/0.53 % (22635)Instructions burned: 7 (million)
% 0.20/0.53 % (22635)------------------------------
% 0.20/0.53 % (22635)------------------------------
% 0.20/0.53 % (22625)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (22627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (22627)Termination reason: Unknown
% 0.20/0.53 % (22627)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (22621)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (22627)Memory used [KB]: 5884
% 0.20/0.53 % (22627)Time elapsed: 0.129 s
% 0.20/0.53 % (22627)Instructions burned: 5 (million)
% 0.20/0.53 % (22627)------------------------------
% 0.20/0.53 % (22627)------------------------------
% 0.20/0.53 % (22632)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (22640)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54 % (22618)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54 % (22644)Instruction limit reached!
% 0.20/0.54 % (22644)------------------------------
% 0.20/0.54 % (22644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (22644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (22644)Termination reason: Unknown
% 0.20/0.54 % (22644)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (22644)Memory used [KB]: 6268
% 0.20/0.54 % (22644)Time elapsed: 0.133 s
% 0.20/0.54 % (22644)Instructions burned: 20 (million)
% 0.20/0.54 % (22644)------------------------------
% 0.20/0.54 % (22644)------------------------------
% 0.20/0.54 % (22642)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.54 % (22633)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.54 % (22645)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (22617)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54 % (22617)Instruction limit reached!
% 0.20/0.54 % (22617)------------------------------
% 0.20/0.54 % (22617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (22617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (22617)Termination reason: Unknown
% 0.20/0.54 % (22617)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (22617)Memory used [KB]: 5884
% 0.20/0.54 % (22617)Time elapsed: 0.137 s
% 0.20/0.54 % (22617)Instructions burned: 4 (million)
% 0.20/0.54 % (22617)------------------------------
% 0.20/0.54 % (22617)------------------------------
% 0.20/0.54 % (22633)Refutation not found, incomplete strategy% (22633)------------------------------
% 0.20/0.54 % (22633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (22641)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54 % (22629)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.54 % (22631)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (22636)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.55 % (22626)Instruction limit reached!
% 0.20/0.55 % (22626)------------------------------
% 0.20/0.55 % (22626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (22626)Termination reason: Unknown
% 0.20/0.55 % (22626)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (22626)Memory used [KB]: 6140
% 0.20/0.55 % (22626)Time elapsed: 0.090 s
% 0.20/0.55 % (22626)Instructions burned: 24 (million)
% 0.20/0.55 % (22626)------------------------------
% 0.20/0.55 % (22626)------------------------------
% 0.20/0.55 % (22634)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (22636)Refutation not found, incomplete strategy% (22636)------------------------------
% 0.20/0.55 % (22636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (22636)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (22636)Memory used [KB]: 5884
% 0.20/0.55 % (22636)Time elapsed: 0.149 s
% 0.20/0.55 % (22636)Instructions burned: 5 (million)
% 0.20/0.55 % (22636)------------------------------
% 0.20/0.55 % (22636)------------------------------
% 0.20/0.55 % (22625)Instruction limit reached!
% 0.20/0.55 % (22625)------------------------------
% 0.20/0.55 % (22625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22628)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (22643)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.55 % (22628)Instruction limit reached!
% 0.20/0.55 % (22628)------------------------------
% 0.20/0.55 % (22628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22641)Refutation not found, incomplete strategy% (22641)------------------------------
% 0.20/0.55 % (22641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22625)Termination reason: Unknown
% 0.20/0.56 % (22625)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22631)Instruction limit reached!
% 0.20/0.56 % (22631)------------------------------
% 0.20/0.56 % (22631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22625)Memory used [KB]: 6012
% 0.20/0.56 % (22625)Time elapsed: 0.128 s
% 0.20/0.56 % (22625)Instructions burned: 7 (million)
% 0.20/0.56 % (22632)Instruction limit reached!
% 0.20/0.56 % (22632)------------------------------
% 0.20/0.56 % (22632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22625)------------------------------
% 0.20/0.56 % (22625)------------------------------
% 0.20/0.56 % (22632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22632)Termination reason: Unknown
% 0.20/0.56 % (22632)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22632)Memory used [KB]: 6012
% 0.20/0.56 % (22632)Time elapsed: 0.161 s
% 0.20/0.56 % (22632)Instructions burned: 8 (million)
% 0.20/0.56 % (22632)------------------------------
% 0.20/0.56 % (22632)------------------------------
% 0.20/0.56 % (22631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22631)Termination reason: Unknown
% 0.20/0.56 % (22631)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22631)Memory used [KB]: 5884
% 0.20/0.56 % (22631)Time elapsed: 0.160 s
% 0.20/0.56 % (22631)Instructions burned: 3 (million)
% 0.20/0.56 % (22631)------------------------------
% 0.20/0.56 % (22631)------------------------------
% 0.20/0.56 % (22633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22633)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (22633)Memory used [KB]: 10490
% 0.20/0.56 % (22633)Time elapsed: 0.141 s
% 0.20/0.56 % (22633)Instructions burned: 7 (million)
% 0.20/0.56 % (22633)------------------------------
% 0.20/0.56 % (22633)------------------------------
% 0.20/0.56 % (22622)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (22628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22628)Termination reason: Unknown
% 0.20/0.56 % (22628)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22628)Memory used [KB]: 5884
% 0.20/0.56 % (22628)Time elapsed: 0.003 s
% 0.20/0.56 % (22628)Instructions burned: 4 (million)
% 0.20/0.56 % (22628)------------------------------
% 0.20/0.56 % (22628)------------------------------
% 0.20/0.56 % (22622)Refutation not found, incomplete strategy% (22622)------------------------------
% 0.20/0.56 % (22622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22622)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (22622)Memory used [KB]: 5884
% 0.20/0.56 % (22622)Time elapsed: 0.163 s
% 0.20/0.56 % (22622)Instructions burned: 4 (million)
% 0.20/0.56 % (22622)------------------------------
% 0.20/0.56 % (22622)------------------------------
% 0.20/0.56 % (22641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22641)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (22641)Memory used [KB]: 6012
% 0.20/0.56 % (22641)Time elapsed: 0.149 s
% 0.20/0.56 % (22641)Instructions burned: 7 (million)
% 0.20/0.56 % (22641)------------------------------
% 0.20/0.56 % (22641)------------------------------
% 0.20/0.56 % (22620)Instruction limit reached!
% 0.20/0.56 % (22620)------------------------------
% 0.20/0.56 % (22620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (22634)Instruction limit reached!
% 0.20/0.57 % (22634)------------------------------
% 0.20/0.57 % (22634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (22634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (22634)Termination reason: Unknown
% 0.20/0.57 % (22634)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (22634)Memory used [KB]: 6012
% 0.20/0.57 % (22634)Time elapsed: 0.172 s
% 0.20/0.57 % (22634)Instructions burned: 7 (million)
% 0.20/0.57 % (22634)------------------------------
% 0.20/0.57 % (22634)------------------------------
% 0.20/0.57 % (22619)Instruction limit reached!
% 0.20/0.57 % (22619)------------------------------
% 0.20/0.57 % (22619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (22620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (22620)Termination reason: Unknown
% 0.20/0.58 % (22620)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (22620)Memory used [KB]: 6140
% 0.20/0.58 % (22620)Time elapsed: 0.162 s
% 0.20/0.58 % (22620)Instructions burned: 26 (million)
% 0.20/0.58 % (22620)------------------------------
% 0.20/0.58 % (22620)------------------------------
% 0.20/0.58 % (22629)Instruction limit reached!
% 0.20/0.58 % (22629)------------------------------
% 0.20/0.58 % (22629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (22629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (22629)Termination reason: Unknown
% 0.20/0.58 % (22629)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (22629)Memory used [KB]: 1663
% 0.20/0.58 % (22629)Time elapsed: 0.165 s
% 0.20/0.58 % (22629)Instructions burned: 30 (million)
% 0.20/0.58 % (22629)------------------------------
% 0.20/0.58 % (22629)------------------------------
% 0.20/0.58 % (22624)Instruction limit reached!
% 0.20/0.58 % (22624)------------------------------
% 0.20/0.58 % (22624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (22624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (22624)Termination reason: Unknown
% 0.20/0.58 % (22624)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (22624)Memory used [KB]: 6652
% 0.20/0.58 % (22624)Time elapsed: 0.174 s
% 0.20/0.58 % (22624)Instructions burned: 52 (million)
% 0.20/0.58 % (22624)------------------------------
% 0.20/0.58 % (22624)------------------------------
% 0.20/0.59 % (22621)Instruction limit reached!
% 0.20/0.59 % (22621)------------------------------
% 0.20/0.59 % (22621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (22621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (22621)Termination reason: Unknown
% 0.20/0.59 % (22621)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (22621)Memory used [KB]: 1663
% 0.20/0.59 % (22621)Time elapsed: 0.169 s
% 0.20/0.59 % (22621)Instructions burned: 49 (million)
% 0.20/0.59 % (22621)------------------------------
% 0.20/0.59 % (22621)------------------------------
% 0.20/0.59 % (22616)Instruction limit reached!
% 0.20/0.59 % (22616)------------------------------
% 0.20/0.59 % (22616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (22616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (22616)Termination reason: Unknown
% 0.20/0.59 % (22616)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (22616)Memory used [KB]: 1791
% 0.20/0.59 % (22616)Time elapsed: 0.186 s
% 0.20/0.59 % (22616)Instructions burned: 42 (million)
% 0.20/0.59 % (22616)------------------------------
% 0.20/0.59 % (22616)------------------------------
% 0.20/0.59 % (22619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (22619)Termination reason: Unknown
% 0.20/0.59 % (22619)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (22619)Memory used [KB]: 6524
% 0.20/0.59 % (22619)Time elapsed: 0.169 s
% 0.20/0.59 % (22619)Instructions burned: 35 (million)
% 0.20/0.59 % (22619)------------------------------
% 0.20/0.59 % (22619)------------------------------
% 0.20/0.59 % (22618)Instruction limit reached!
% 0.20/0.59 % (22618)------------------------------
% 0.20/0.59 % (22618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (22618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (22618)Termination reason: Unknown
% 0.20/0.59 % (22618)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (22618)Memory used [KB]: 6652
% 0.20/0.59 % (22618)Time elapsed: 0.185 s
% 0.20/0.59 % (22618)Instructions burned: 43 (million)
% 0.20/0.59 % (22618)------------------------------
% 0.20/0.59 % (22618)------------------------------
% 0.20/0.60 % (22615)First to succeed.
% 1.98/0.62 % (22640)Instruction limit reached!
% 1.98/0.62 % (22640)------------------------------
% 1.98/0.62 % (22640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62 % (22640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (22640)Termination reason: Unknown
% 1.98/0.62 % (22640)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (22640)Memory used [KB]: 6524
% 1.98/0.62 % (22640)Time elapsed: 0.207 s
% 1.98/0.62 % (22640)Instructions burned: 47 (million)
% 1.98/0.62 % (22640)------------------------------
% 1.98/0.62 % (22640)------------------------------
% 2.17/0.63 % (22615)Refutation found. Thanks to Tanya!
% 2.17/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.17/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.63 % (22615)------------------------------
% 2.17/0.63 % (22615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (22615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (22615)Termination reason: Refutation
% 2.17/0.63
% 2.17/0.63 % (22615)Memory used [KB]: 6524
% 2.17/0.63 % (22615)Time elapsed: 0.187 s
% 2.17/0.63 % (22615)Instructions burned: 48 (million)
% 2.17/0.63 % (22615)------------------------------
% 2.17/0.63 % (22615)------------------------------
% 2.17/0.63 % (22611)Success in time 0.283 s
%------------------------------------------------------------------------------