TSTP Solution File: GRP291-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP291-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:25 EDT 2024
% Result : Unsatisfiable 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 42
% Syntax : Number of formulae : 207 ( 4 unt; 0 def)
% Number of atoms : 885 ( 232 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1346 ( 668 ~; 663 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1092,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f107,f321,f363,f402,f443,f445,f538,f725,f776,f865,f921,f1007,f1043,f1091]) ).
fof(f1091,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1090,f721,f105,f87,f78,f69,f60,f31,f69]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f78,plain,
( spl0_9
<=> sk_c7 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,plain,
( spl0_10
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f105,plain,
( spl0_14
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f721,plain,
( spl0_18
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1090,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1063,f927]) ).
fof(f927,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f849,f848]) ).
fof(f848,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f446,f823]) ).
fof(f823,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f488,f815]) ).
fof(f815,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f810,f488]) ).
fof(f810,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f451,f456]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f455,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',left_identity) ).
fof(f455,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f447]) ).
fof(f447,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',associativity) ).
fof(f451,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f80]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f488,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f486,f1]) ).
fof(f486,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f3,f476]) ).
fof(f476,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f447,f466]) ).
fof(f466,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f462,f33]) ).
fof(f33,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f462,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f454,f62]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f454,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f453,f1]) ).
fof(f453,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f446]) ).
fof(f446,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f849,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f476,f823]) ).
fof(f1063,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1062]) ).
fof(f1062,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f1051,f815]) ).
fof(f1051,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1050,f722]) ).
fof(f722,plain,
( sk_c7 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f1050,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1049,f722]) ).
fof(f1049,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f466]) ).
fof(f106,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f1043,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1042,f721,f102,f60,f69]) ).
fof(f102,plain,
( spl0_13
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1042,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1041]) ).
fof(f1041,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1016,f722]) ).
fof(f1016,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f1008,f62]) ).
fof(f1008,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f103,f722]) ).
fof(f103,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f1007,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1006,f99,f87,f78,f69,f60,f31,f69]) ).
fof(f99,plain,
( spl0_12
<=> ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1006,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f975,f927]) ).
fof(f975,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f974]) ).
fof(f974,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f869,f815]) ).
fof(f869,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f868,f466]) ).
fof(f868,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f466]) ).
fof(f100,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f921,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f917,f87,f78,f69,f60,f45,f40,f31,f721]) ).
fof(f40,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f45,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f917,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f46,f830]) ).
fof(f830,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f823,f121]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f46,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f865,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f864,f87,f78,f69,f60,f31,f721]) ).
fof(f864,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f846,f466]) ).
fof(f846,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f33,f823]) ).
fof(f776,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f773,f87,f78,f69,f60,f35,f31,f721]) ).
fof(f35,plain,
( spl0_2
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f773,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f747,f765]) ).
fof(f765,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f755,f62]) ).
fof(f755,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f450,f515]) ).
fof(f515,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f512,f466]) ).
fof(f512,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f456,f80]) ).
fof(f450,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f62]) ).
fof(f747,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f36,f466]) ).
fof(f36,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f725,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f673,f96,f60,f69]) ).
fof(f96,plain,
( spl0_11
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f673,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f670]) ).
fof(f670,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f97,f62]) ).
fof(f97,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f538,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f536]) ).
fof(f536,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f510,f518]) ).
fof(f518,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f515,f123]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f47]) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f510,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f507,f466]) ).
fof(f507,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f56,f493]) ).
fof(f493,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f492,f122]) ).
fof(f122,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f109]) ).
fof(f109,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f492,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f490,f1]) ).
fof(f490,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f3,f479]) ).
fof(f479,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f474,f108]) ).
fof(f474,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f131,f466]) ).
fof(f131,plain,
( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f114,f108]) ).
fof(f114,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f56,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f445,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f154,f45,f40,f35,f31]) ).
fof(f154,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f150]) ).
fof(f150,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f144,f123]) ).
fof(f144,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f116,f37]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f47]) ).
fof(f443,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f442,f105,f55,f50,f45,f40,f35,f40]) ).
fof(f442,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f418,f224]) ).
fof(f224,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f217,f216]) ).
fof(f216,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f195,f108]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f194,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f163]) ).
fof(f163,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f162,f108]) ).
fof(f162,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f158,f161]) ).
fof(f161,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f157,f47]) ).
fof(f157,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f150,f156]) ).
fof(f156,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f154,f151]) ).
fof(f151,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f145,f150]) ).
fof(f145,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f127]) ).
fof(f127,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f122,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f158,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f131,f156]) ).
fof(f217,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f195,f169]) ).
fof(f169,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f109,f161]) ).
fof(f418,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f417,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f405,f199]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f197,f195]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f165]) ).
fof(f165,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f160,f161]) ).
fof(f160,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f57,f156]) ).
fof(f405,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f404,f161]) ).
fof(f404,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f403,f161]) ).
fof(f403,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f156]) ).
fof(f402,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f401,f102,f55,f50,f45,f40,f35,f40]) ).
fof(f401,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f377,f224]) ).
fof(f377,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f376]) ).
fof(f376,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f364,f199]) ).
fof(f364,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f161]) ).
fof(f363,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f362,f99,f55,f50,f45,f40,f35,f40]) ).
fof(f362,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f338,f224]) ).
fof(f338,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f337,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f325,f199]) ).
fof(f325,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f324,f161]) ).
fof(f324,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f323,f156]) ).
fof(f323,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f322,f161]) ).
fof(f322,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f156]) ).
fof(f321,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f320,f96,f55,f50,f45,f40,f35,f40]) ).
fof(f320,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f288,f224]) ).
fof(f288,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f287]) ).
fof(f287,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f185,f199]) ).
fof(f185,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f161]) ).
fof(f107,plain,
( ~ spl0_1
| spl0_11
| spl0_12
| ~ spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f96,f31]) ).
fof(f29,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_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_26) ).
fof(f94,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f55,f87]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_25) ).
fof(f93,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f50,f87]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_24) ).
fof(f92,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f45,f87]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_23) ).
fof(f91,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f40,f87]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_22) ).
fof(f90,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f35,f87]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_21) ).
fof(f85,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f55,f78]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_20) ).
fof(f84,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f50,f78]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_19) ).
fof(f83,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f45,f78]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_18) ).
fof(f82,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f40,f78]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_17) ).
fof(f81,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f35,f78]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_16) ).
fof(f76,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f55,f69]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_15) ).
fof(f75,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f50,f69]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_14) ).
fof(f74,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f45,f69]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_13) ).
fof(f73,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f40,f69]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_12) ).
fof(f72,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f35,f69]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_11) ).
fof(f67,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f55,f60]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_10) ).
fof(f66,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f50,f60]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_9) ).
fof(f65,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f45,f60]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_8) ).
fof(f64,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f40,f60]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_7) ).
fof(f63,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f60]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_6) ).
fof(f48,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f45,f31]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_3) ).
fof(f43,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f40,f31]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_2) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f35,f31]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.ta41FlXguX/Vampire---4.8_6607',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP291-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 18:30:11 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.12/0.34 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/tmp/tmp.ta41FlXguX/Vampire---4.8_6607
% 0.38/0.59 % (6849)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2997ds/56Mi)
% 0.38/0.59 % (6849)Refutation not found, incomplete strategy% (6849)------------------------------
% 0.38/0.59 % (6849)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.59 % (6849)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59
% 0.38/0.59 % (6849)Memory used [KB]: 980
% 0.38/0.59 % (6849)Time elapsed: 0.002 s
% 0.38/0.59 % (6849)Instructions burned: 3 (million)
% 0.38/0.59 % (6849)------------------------------
% 0.38/0.59 % (6849)------------------------------
% 0.38/0.59 % (6842)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2997ds/34Mi)
% 0.38/0.59 % (6844)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.38/0.59 % (6843)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2997ds/51Mi)
% 0.38/0.59 % (6846)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2997ds/34Mi)
% 0.38/0.59 % (6847)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.38/0.59 % (6845)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.38/0.59 % (6848)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2997ds/83Mi)
% 0.38/0.59 % (6842)Refutation not found, incomplete strategy% (6842)------------------------------
% 0.38/0.59 % (6842)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.59 % (6842)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59
% 0.38/0.59 % (6842)Memory used [KB]: 995
% 0.38/0.59 % (6842)Time elapsed: 0.003 s
% 0.38/0.59 % (6846)Refutation not found, incomplete strategy% (6846)------------------------------
% 0.38/0.59 % (6846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.59 % (6846)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59
% 0.38/0.59 % (6846)Memory used [KB]: 994
% 0.38/0.59 % (6846)Time elapsed: 0.003 s
% 0.38/0.59 % (6846)Instructions burned: 4 (million)
% 0.38/0.59 % (6846)------------------------------
% 0.38/0.59 % (6846)------------------------------
% 0.38/0.59 % (6842)Instructions burned: 3 (million)
% 0.38/0.59 % (6842)------------------------------
% 0.38/0.59 % (6842)------------------------------
% 0.38/0.59 % (6845)Refutation not found, incomplete strategy% (6845)------------------------------
% 0.38/0.59 % (6845)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.59 % (6845)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59
% 0.38/0.59 % (6845)Memory used [KB]: 986
% 0.38/0.59 % (6845)Time elapsed: 0.003 s
% 0.38/0.59 % (6845)Instructions burned: 3 (million)
% 0.38/0.59 % (6845)------------------------------
% 0.38/0.59 % (6845)------------------------------
% 0.38/0.59 % (6853)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2997ds/55Mi)
% 0.38/0.59 % (6847)Refutation not found, incomplete strategy% (6847)------------------------------
% 0.38/0.59 % (6847)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.59 % (6847)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59
% 0.38/0.59 % (6844)Refutation not found, incomplete strategy% (6844)------------------------------
% 0.38/0.59 % (6844)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.59 % (6847)Memory used [KB]: 984
% 0.38/0.59 % (6847)Time elapsed: 0.004 s
% 0.38/0.59 % (6847)Instructions burned: 4 (million)
% 0.38/0.59 % (6847)------------------------------
% 0.38/0.59 % (6847)------------------------------
% 0.38/0.59 % (6844)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59
% 0.38/0.59 % (6844)Memory used [KB]: 1050
% 0.38/0.59 % (6844)Time elapsed: 0.004 s
% 0.38/0.59 % (6844)Instructions burned: 4 (million)
% 0.38/0.59 % (6844)------------------------------
% 0.38/0.59 % (6844)------------------------------
% 0.38/0.60 % (6853)Refutation not found, incomplete strategy% (6853)------------------------------
% 0.38/0.60 % (6853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.60 % (6853)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60
% 0.38/0.60 % (6853)Memory used [KB]: 1060
% 0.38/0.60 % (6853)Time elapsed: 0.002 s
% 0.38/0.60 % (6853)Instructions burned: 5 (million)
% 0.38/0.60 % (6853)------------------------------
% 0.38/0.60 % (6853)------------------------------
% 0.38/0.60 % (6856)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2997ds/50Mi)
% 0.38/0.60 % (6857)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/208Mi)
% 0.38/0.60 % (6862)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2997ds/243Mi)
% 0.38/0.60 % (6858)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2997ds/52Mi)
% 0.38/0.60 % (6860)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2997ds/518Mi)
% 0.38/0.60 % (6861)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2997ds/42Mi)
% 0.38/0.60 % (6856)Refutation not found, incomplete strategy% (6856)------------------------------
% 0.38/0.60 % (6856)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.60 % (6856)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60
% 0.38/0.60 % (6856)Memory used [KB]: 989
% 0.38/0.60 % (6856)Time elapsed: 0.003 s
% 0.38/0.60 % (6856)Instructions burned: 4 (million)
% 0.38/0.60 % (6856)------------------------------
% 0.38/0.60 % (6856)------------------------------
% 0.38/0.60 % (6861)Refutation not found, incomplete strategy% (6861)------------------------------
% 0.38/0.60 % (6861)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.60 % (6861)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60
% 0.38/0.60 % (6861)Memory used [KB]: 1001
% 0.38/0.60 % (6861)Time elapsed: 0.003 s
% 0.38/0.60 % (6861)Instructions burned: 4 (million)
% 0.38/0.60 % (6861)------------------------------
% 0.38/0.60 % (6861)------------------------------
% 0.38/0.60 % (6860)Refutation not found, incomplete strategy% (6860)------------------------------
% 0.38/0.60 % (6860)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.60 % (6860)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60
% 0.38/0.60 % (6858)Refutation not found, incomplete strategy% (6858)------------------------------
% 0.38/0.60 % (6858)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.60 % (6858)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60
% 0.38/0.60 % (6858)Memory used [KB]: 1050
% 0.38/0.60 % (6858)Time elapsed: 0.004 s
% 0.38/0.60 % (6858)Instructions burned: 4 (million)
% 0.38/0.60 % (6858)------------------------------
% 0.38/0.60 % (6858)------------------------------
% 0.38/0.60 % (6860)Memory used [KB]: 983
% 0.38/0.60 % (6860)Time elapsed: 0.005 s
% 0.38/0.60 % (6860)Instructions burned: 4 (million)
% 0.38/0.60 % (6860)------------------------------
% 0.38/0.60 % (6860)------------------------------
% 0.38/0.60 % (6857)Refutation not found, incomplete strategy% (6857)------------------------------
% 0.38/0.60 % (6857)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.60 % (6857)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60
% 0.38/0.60 % (6857)Memory used [KB]: 1078
% 0.38/0.60 % (6857)Time elapsed: 0.007 s
% 0.38/0.60 % (6857)Instructions burned: 9 (million)
% 0.38/0.60 % (6857)------------------------------
% 0.38/0.60 % (6857)------------------------------
% 0.38/0.61 % (6867)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2997ds/117Mi)
% 0.38/0.61 % (6868)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2997ds/143Mi)
% 0.38/0.61 % (6869)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2997ds/93Mi)
% 0.38/0.61 % (6870)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2997ds/62Mi)
% 0.38/0.61 % (6867)Refutation not found, incomplete strategy% (6867)------------------------------
% 0.38/0.61 % (6867)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.61 % (6867)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.61
% 0.38/0.61 % (6867)Memory used [KB]: 980
% 0.38/0.61 % (6867)Time elapsed: 0.004 s
% 0.38/0.61 % (6867)Instructions burned: 3 (million)
% 0.38/0.61 % (6867)------------------------------
% 0.38/0.61 % (6867)------------------------------
% 0.38/0.61 % (6868)Refutation not found, incomplete strategy% (6868)------------------------------
% 0.38/0.61 % (6868)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.61 % (6868)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.61
% 0.38/0.61 % (6870)Refutation not found, incomplete strategy% (6870)------------------------------
% 0.38/0.61 % (6870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.61 % (6868)Memory used [KB]: 997
% 0.38/0.61 % (6868)Time elapsed: 0.004 s
% 0.38/0.61 % (6868)Instructions burned: 3 (million)
% 0.38/0.61 % (6868)------------------------------
% 0.38/0.61 % (6868)------------------------------
% 0.38/0.61 % (6843)First to succeed.
% 0.38/0.61 % (6870)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.61
% 0.38/0.61 % (6870)Memory used [KB]: 981
% 0.38/0.61 % (6870)Time elapsed: 0.003 s
% 0.38/0.61 % (6870)Instructions burned: 3 (million)
% 0.38/0.61 % (6870)------------------------------
% 0.38/0.61 % (6870)------------------------------
% 0.38/0.61 % (6871)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2997ds/32Mi)
% 0.38/0.61 % (6873)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2997ds/1919Mi)
% 0.38/0.61 % (6843)Refutation found. Thanks to Tanya!
% 0.38/0.61 % SZS status Unsatisfiable for Vampire---4
% 0.38/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.38/0.61 % (6843)------------------------------
% 0.38/0.61 % (6843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.38/0.61 % (6843)Termination reason: Refutation
% 0.38/0.61
% 0.38/0.61 % (6843)Memory used [KB]: 1297
% 0.38/0.61 % (6843)Time elapsed: 0.020 s
% 0.38/0.61 % (6843)Instructions burned: 33 (million)
% 0.38/0.61 % (6843)------------------------------
% 0.38/0.61 % (6843)------------------------------
% 0.38/0.61 % (6715)Success in time 0.262 s
% 0.38/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------