TSTP Solution File: GRP303-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP303-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:07:59 EDT 2024
% Result : Unsatisfiable 0.65s 0.77s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 42
% Syntax : Number of formulae : 236 ( 6 unt; 0 def)
% Number of atoms : 810 ( 262 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1135 ( 561 ~; 557 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1699,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f39,f44,f49,f54,f55,f56,f57,f62,f63,f64,f65,f70,f71,f72,f73,f78,f79,f80,f81,f96,f155,f454,f556,f786,f848,f876,f923,f937,f1018,f1021,f1061,f1067,f1341,f1401,f1568,f1578,f1691]) ).
fof(f1691,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1672,f525,f88,f67,f75]) ).
fof(f75,plain,
( spl0_9
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f67,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f88,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f525,plain,
( spl0_17
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1672,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1669]) ).
fof(f1669,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f1605,f1345]) ).
fof(f1345,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f69,f526]) ).
fof(f526,plain,
( sk_c7 = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f69,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f1605,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f89,f526]) ).
fof(f89,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f1578,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1551,f802,f525,f94,f67,f75]) ).
fof(f94,plain,
( spl0_13
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f802,plain,
( spl0_27
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1551,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1548]) ).
fof(f1548,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(superposition,[],[f1534,f1345]) ).
fof(f1534,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_demodulation,[],[f95,f803]) ).
fof(f803,plain,
( sk_c6 = sk_c5
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f95,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f1568,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1555,f802,f94,f46,f41]) ).
fof(f41,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f46,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1555,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1544]) ).
fof(f1544,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f1534,f1027]) ).
fof(f1027,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_27 ),
inference(superposition,[],[f48,f803]) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f1401,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1400,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1396]) ).
fof(f1396,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(superposition,[],[f1358,f1382]) ).
fof(f1382,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1374,f526]) ).
fof(f1374,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(superposition,[],[f53,f1369]) ).
fof(f1369,plain,
( sk_c3 = sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1368,f1293]) ).
fof(f1293,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1292,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1292,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1291,f1092]) ).
fof(f1092,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1091,f1]) ).
fof(f1091,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1087,f987]) ).
fof(f987,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f461,f868]) ).
fof(f868,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f867,f1]) ).
fof(f867,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f859]) ).
fof(f859,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f33]) ).
fof(f33,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f461,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f53]) ).
fof(f1087,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_2
| ~ spl0_17 ),
inference(superposition,[],[f3,f1080]) ).
fof(f1080,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_17 ),
inference(superposition,[],[f859,f526]) ).
fof(f1291,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1290,f987]) ).
fof(f1290,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_2
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1286,f3]) ).
fof(f1286,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c3),X0)
| ~ spl0_2
| ~ spl0_27 ),
inference(superposition,[],[f3,f1031]) ).
fof(f1031,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_27 ),
inference(superposition,[],[f866,f803]) ).
fof(f866,plain,
( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f859]) ).
fof(f103,plain,
! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
sk_c5 = multiply(sk_c6,sk_c7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f1368,plain,
( sk_c1 = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1364,f1092]) ).
fof(f1364,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c1,sk_c1)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(superposition,[],[f992,f1360]) ).
fof(f1360,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1359,f1293]) ).
fof(f1359,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f2,f1357]) ).
fof(f1357,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f61,f526]) ).
fof(f61,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_7
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f992,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f461,f859]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1358,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f37,f526]) ).
fof(f37,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1341,plain,
( ~ spl0_17
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1338,f802,f525,f94,f36,f31,f525]) ).
fof(f1338,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(superposition,[],[f1324,f33]) ).
fof(f1324,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1323,f1150]) ).
fof(f1150,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f1113,f1080]) ).
fof(f1113,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1108,f526]) ).
fof(f1108,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f868,f1095]) ).
fof(f1095,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1094,f1]) ).
fof(f1094,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f3,f1088]) ).
fof(f1088,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1085,f859]) ).
fof(f1085,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f929,f1080]) ).
fof(f929,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f38]) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f1323,plain,
( sk_c6 != inverse(identity)
| ~ spl0_13
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1294]) ).
fof(f1294,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f1071,f1]) ).
fof(f1071,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_demodulation,[],[f95,f803]) ).
fof(f1067,plain,
( ~ spl0_17
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f953,f88,f36,f31,f525]) ).
fof(f953,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f946,f33]) ).
fof(f946,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f945]) ).
fof(f945,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f89,f38]) ).
fof(f1061,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_21
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1060,f768,f543,f36,f525]) ).
fof(f543,plain,
( spl0_21
<=> sk_c6 = multiply(sk_c7,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f768,plain,
( spl0_24
<=> sk_c6 = multiply(sk_c6,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1060,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1059,f544]) ).
fof(f544,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f1059,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1055,f38]) ).
fof(f1055,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f929,f769]) ).
fof(f769,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1021,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1020,f46,f41,f36,f31,f27,f802]) ).
fof(f27,plain,
( spl0_1
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1020,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1019,f1016]) ).
fof(f1016,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1008,f928]) ).
fof(f928,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f868,f38]) ).
fof(f1008,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f929,f8]) ).
fof(f1019,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1010,f964]) ).
fof(f964,plain,
( sk_c5 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f957,f934]) ).
fof(f934,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f932,f930]) ).
fof(f930,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f111,f48]) ).
fof(f111,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f104,f1]) ).
fof(f104,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f98]) ).
fof(f98,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f932,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f103,f928]) ).
fof(f957,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f460,f8]) ).
fof(f460,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f29]) ).
fof(f29,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f1010,plain,
( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f929,f970]) ).
fof(f970,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f965,f459]) ).
fof(f459,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f103,f29]) ).
fof(f965,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f958,f964]) ).
fof(f958,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f460,f930]) ).
fof(f1018,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1017,f46,f41,f36,f31,f543]) ).
fof(f1017,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1009,f1016]) ).
fof(f1009,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f929,f930]) ).
fof(f937,plain,
( ~ spl0_27
| ~ spl0_4
| ~ spl0_5
| spl0_24 ),
inference(avatar_split_clause,[],[f935,f768,f46,f41,f802]) ).
fof(f935,plain,
( sk_c6 != sk_c5
| ~ spl0_4
| ~ spl0_5
| spl0_24 ),
inference(superposition,[],[f770,f930]) ).
fof(f770,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl0_24 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f923,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f922,f802,f59,f51,f27,f525]) ).
fof(f922,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f915,f803]) ).
fof(f915,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f29,f909]) ).
fof(f909,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f871,f53]) ).
fof(f871,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f870,f1]) ).
fof(f870,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f860]) ).
fof(f860,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f2,f61]) ).
fof(f876,plain,
( spl0_27
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f873,f75,f67,f802]) ).
fof(f873,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f8,f861]) ).
fof(f861,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f469,f69]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f467,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f458]) ).
fof(f458,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f77]) ).
fof(f77,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f848,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f725,f91,f36,f31]) ).
fof(f91,plain,
( spl0_12
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f725,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f92,f38]) ).
fof(f92,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f786,plain,
( ~ spl0_17
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f785,f91,f75,f67,f525]) ).
fof(f785,plain,
( sk_c7 != sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f724,f77]) ).
fof(f724,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f723]) ).
fof(f723,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f92,f69]) ).
fof(f556,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f517,f85,f51,f59]) ).
fof(f85,plain,
( spl0_10
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f517,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f516]) ).
fof(f516,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f86,f53]) ).
fof(f86,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f454,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f451,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f446,f244]) ).
fof(f244,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f43,f229]) ).
fof(f229,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f215,f214]) ).
fof(f214,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f195,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f97,f156]) ).
fof(f156,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f146,f38]) ).
fof(f146,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f139,f145]) ).
fof(f145,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f143,f140]) ).
fof(f140,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f134,f139]) ).
fof(f134,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f105,f116]) ).
fof(f116,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f111,f48]) ).
fof(f105,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f38]) ).
fof(f143,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f110,f139]) ).
fof(f110,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f102,f1]) ).
fof(f102,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f97]) ).
fof(f139,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f133,f112]) ).
fof(f112,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f110,f38]) ).
fof(f133,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f105,f8]) ).
fof(f97,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f33]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f192,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f3,f189]) ).
fof(f189,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f187,f156]) ).
fof(f187,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f110,f179]) ).
fof(f179,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f177,f97]) ).
fof(f177,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f105,f161]) ).
fof(f215,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f195,f98]) ).
fof(f446,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f445,f214]) ).
fof(f445,plain,
( sk_c6 != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f425,f1]) ).
fof(f425,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f424,f156]) ).
fof(f424,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f86,f156]) ).
fof(f155,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f153]) ).
fof(f153,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f150,f145]) ).
fof(f150,plain,
( sk_c6 != sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f28,f140]) ).
fof(f28,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f96,plain,
( ~ spl0_1
| spl0_10
| spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f83,f94,f91,f88,f85,f27]) ).
fof(f83,plain,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(trivial_inequality_removal,[],[f82]) ).
fof(f82,plain,
! [X3,X6,X4,X5] :
( sk_c5 != sk_c5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(forward_demodulation,[],[f25,f8]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f81,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f46,f75]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f80,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f41,f75]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f79,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f22,f36,f75]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f78,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f31,f75]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f73,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f46,f67]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f72,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f41,f67]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f71,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f36,f67]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f70,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f31,f67]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f65,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f46,f59]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f64,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f41,f59]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f63,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f36,f59]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f62,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f31,f59]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f57,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f46,f51]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f56,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f41,f51]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f55,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f36,f51]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f54,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f31,f51]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f49,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f46,f27]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f44,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f41,f27]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f39,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f36,f27]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f31,f27]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP303-1 : TPTP v8.2.0. Released v2.5.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 05:07:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74 % (21495)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.74 % (21491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (21492)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74 % (21489)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (21490)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.74 % (21493)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (21494)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74 % (21496)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75 % (21489)Refutation not found, incomplete strategy% (21489)------------------------------
% 0.55/0.75 % (21489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21489)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21489)Memory used [KB]: 1001
% 0.55/0.75 % (21489)Time elapsed: 0.003 s
% 0.55/0.75 % (21492)Refutation not found, incomplete strategy% (21492)------------------------------
% 0.55/0.75 % (21492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21492)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21492)Memory used [KB]: 987
% 0.55/0.75 % (21492)Time elapsed: 0.003 s
% 0.55/0.75 % (21492)Instructions burned: 3 (million)
% 0.55/0.75 % (21489)Instructions burned: 3 (million)
% 0.55/0.75 % (21493)Refutation not found, incomplete strategy% (21493)------------------------------
% 0.55/0.75 % (21493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21493)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21493)Memory used [KB]: 1000
% 0.55/0.75 % (21493)Time elapsed: 0.003 s
% 0.55/0.75 % (21493)Instructions burned: 3 (million)
% 0.55/0.75 % (21492)------------------------------
% 0.55/0.75 % (21492)------------------------------
% 0.55/0.75 % (21496)Refutation not found, incomplete strategy% (21496)------------------------------
% 0.55/0.75 % (21496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21496)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21496)Memory used [KB]: 986
% 0.55/0.75 % (21496)Time elapsed: 0.003 s
% 0.55/0.75 % (21496)Instructions burned: 3 (million)
% 0.55/0.75 % (21489)------------------------------
% 0.55/0.75 % (21489)------------------------------
% 0.55/0.75 % (21494)Refutation not found, incomplete strategy% (21494)------------------------------
% 0.55/0.75 % (21494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21493)------------------------------
% 0.55/0.75 % (21493)------------------------------
% 0.55/0.75 % (21494)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21494)Memory used [KB]: 992
% 0.55/0.75 % (21494)Time elapsed: 0.004 s
% 0.55/0.75 % (21494)Instructions burned: 4 (million)
% 0.55/0.75 % (21496)------------------------------
% 0.55/0.75 % (21496)------------------------------
% 0.55/0.75 % (21491)Refutation not found, incomplete strategy% (21491)------------------------------
% 0.55/0.75 % (21491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21491)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21491)Memory used [KB]: 1056
% 0.55/0.75 % (21491)Time elapsed: 0.004 s
% 0.55/0.75 % (21491)Instructions burned: 4 (million)
% 0.55/0.75 % (21494)------------------------------
% 0.55/0.75 % (21494)------------------------------
% 0.55/0.75 % (21491)------------------------------
% 0.55/0.75 % (21491)------------------------------
% 0.55/0.75 % (21500)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.55/0.75 % (21501)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.55/0.75 % (21502)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.75 % (21503)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.55/0.75 % (21505)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.55/0.75 % (21506)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.55/0.75 % (21501)Refutation not found, incomplete strategy% (21501)------------------------------
% 0.55/0.75 % (21501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21501)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21501)Memory used [KB]: 997
% 0.55/0.75 % (21501)Time elapsed: 0.003 s
% 0.55/0.75 % (21501)Instructions burned: 4 (million)
% 0.55/0.75 % (21506)Refutation not found, incomplete strategy% (21506)------------------------------
% 0.55/0.75 % (21506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21501)------------------------------
% 0.55/0.75 % (21501)------------------------------
% 0.55/0.75 % (21500)Refutation not found, incomplete strategy% (21500)------------------------------
% 0.55/0.75 % (21500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21500)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21500)Memory used [KB]: 1058
% 0.55/0.75 % (21500)Time elapsed: 0.005 s
% 0.55/0.75 % (21500)Instructions burned: 5 (million)
% 0.55/0.75 % (21506)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21506)Memory used [KB]: 1007
% 0.55/0.75 % (21506)Time elapsed: 0.003 s
% 0.55/0.75 % (21506)Instructions burned: 3 (million)
% 0.55/0.75 % (21500)------------------------------
% 0.55/0.75 % (21500)------------------------------
% 0.55/0.75 % (21506)------------------------------
% 0.55/0.75 % (21506)------------------------------
% 0.55/0.75 % (21502)Refutation not found, incomplete strategy% (21502)------------------------------
% 0.55/0.75 % (21502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21502)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21502)Memory used [KB]: 1079
% 0.55/0.75 % (21502)Time elapsed: 0.007 s
% 0.55/0.75 % (21502)Instructions burned: 9 (million)
% 0.55/0.76 % (21502)------------------------------
% 0.55/0.76 % (21502)------------------------------
% 0.55/0.76 % (21510)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.55/0.76 % (21511)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.55/0.76 % (21512)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.55/0.76 % (21511)Refutation not found, incomplete strategy% (21511)------------------------------
% 0.55/0.76 % (21511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21511)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21511)Memory used [KB]: 987
% 0.55/0.76 % (21511)Time elapsed: 0.004 s
% 0.55/0.76 % (21511)Instructions burned: 3 (million)
% 0.55/0.76 % (21511)------------------------------
% 0.55/0.76 % (21511)------------------------------
% 0.55/0.76 % (21512)Refutation not found, incomplete strategy% (21512)------------------------------
% 0.55/0.76 % (21512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21512)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21515)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.55/0.76 % (21512)Memory used [KB]: 1003
% 0.55/0.76 % (21512)Time elapsed: 0.003 s
% 0.55/0.76 % (21512)Instructions burned: 3 (million)
% 0.55/0.76 % (21512)------------------------------
% 0.55/0.76 % (21512)------------------------------
% 0.65/0.76 % (21518)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.65/0.76 % (21520)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2996ds/32Mi)
% 0.65/0.76 % (21518)Refutation not found, incomplete strategy% (21518)------------------------------
% 0.65/0.76 % (21518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (21518)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76
% 0.65/0.76 % (21518)Memory used [KB]: 987
% 0.65/0.76 % (21518)Time elapsed: 0.004 s
% 0.65/0.76 % (21518)Instructions burned: 3 (million)
% 0.65/0.76 % (21495)Instruction limit reached!
% 0.65/0.76 % (21495)------------------------------
% 0.65/0.76 % (21495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (21495)Termination reason: Unknown
% 0.65/0.76 % (21495)Termination phase: Saturation
% 0.65/0.76
% 0.65/0.76 % (21495)Memory used [KB]: 1893
% 0.65/0.76 % (21495)Time elapsed: 0.024 s
% 0.65/0.76 % (21495)Instructions burned: 83 (million)
% 0.65/0.76 % (21495)------------------------------
% 0.65/0.76 % (21495)------------------------------
% 0.65/0.77 % (21518)------------------------------
% 0.65/0.77 % (21518)------------------------------
% 0.65/0.77 % (21523)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2996ds/1919Mi)
% 0.65/0.77 % (21490)First to succeed.
% 0.65/0.77 % (21523)Refutation not found, incomplete strategy% (21523)------------------------------
% 0.65/0.77 % (21523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (21523)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77
% 0.65/0.77 % (21523)Memory used [KB]: 1058
% 0.65/0.77 % (21523)Time elapsed: 0.002 s
% 0.65/0.77 % (21523)Instructions burned: 5 (million)
% 0.65/0.77 % (21523)------------------------------
% 0.65/0.77 % (21523)------------------------------
% 0.65/0.77 % (21524)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2996ds/55Mi)
% 0.65/0.77 % (21524)Refutation not found, incomplete strategy% (21524)------------------------------
% 0.65/0.77 % (21524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (21524)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77
% 0.65/0.77 % (21524)Memory used [KB]: 1007
% 0.65/0.77 % (21528)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2996ds/53Mi)
% 0.65/0.77 % (21524)Time elapsed: 0.004 s
% 0.65/0.77 % (21524)Instructions burned: 4 (million)
% 0.65/0.77 % (21490)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21315"
% 0.65/0.77 % (21524)------------------------------
% 0.65/0.77 % (21524)------------------------------
% 0.65/0.77 % (21490)Refutation found. Thanks to Tanya!
% 0.65/0.77 % SZS status Unsatisfiable for theBenchmark
% 0.65/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.78 % (21490)------------------------------
% 0.65/0.78 % (21490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (21490)Termination reason: Refutation
% 0.65/0.78
% 0.65/0.78 % (21490)Memory used [KB]: 1364
% 0.65/0.78 % (21490)Time elapsed: 0.030 s
% 0.65/0.78 % (21490)Instructions burned: 50 (million)
% 0.65/0.78 % (21315)Success in time 0.392 s
% 0.65/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------