TSTP Solution File: GRP270-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP270-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:47:09 EDT 2024
% Result : Unsatisfiable 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 216 ( 4 unt; 0 def)
% Number of atoms : 826 ( 236 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1201 ( 591 ~; 595 |; 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 : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1011,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f107,f193,f320,f360,f521,f543,f714,f748,f806,f841,f874,f964,f1010]) ).
fof(f1010,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1009,f55,f50,f45,f40,f35,f532]) ).
fof(f532,plain,
( spl0_20
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f35,plain,
( spl0_2
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
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(f50,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1009,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1005,f47]) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f1005,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f992,f997]) ).
fof(f997,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f993,f972]) ).
fof(f972,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f885,f47]) ).
fof(f885,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f884,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',left_identity) ).
fof(f884,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f880]) ).
fof(f880,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(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',associativity) ).
fof(f993,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f992,f966]) ).
fof(f966,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f116,f37]) ).
fof(f37,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f47]) ).
fof(f992,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f990,f978]) ).
fof(f978,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f976,f972]) ).
fof(f976,plain,
( sk_c5 = multiply(sk_c7,multiply(sk_c7,sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f885,f966]) ).
fof(f990,plain,
( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f986]) ).
fof(f986,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f970,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f970,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f969,f1]) ).
fof(f969,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f965]) ).
fof(f965,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(f964,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f963,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f962]) ).
fof(f962,plain,
( sk_c7 != sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f954,f877]) ).
fof(f877,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f52,f533]) ).
fof(f533,plain,
( sk_c7 = sk_c6
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f954,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f953]) ).
fof(f953,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f946,f533]) ).
fof(f946,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c4)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f876,f57]) ).
fof(f876,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c5)
| sk_c7 != inverse(X6) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f875,f533]) ).
fof(f875,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f106,f533]) ).
fof(f106,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
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(f874,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f873,f532,f99,f87,f78,f60,f31,f60]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,plain,
( spl0_7
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f78,plain,
( spl0_9
<=> sk_c5 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,plain,
( spl0_10
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f99,plain,
( spl0_12
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f873,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f855,f732]) ).
fof(f732,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f721,f717]) ).
fof(f717,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f689,f400]) ).
fof(f400,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f689,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f688,f533]) ).
fof(f688,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f677,f687]) ).
fof(f687,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f686,f411]) ).
fof(f411,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f410,f1]) ).
fof(f410,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f401]) ).
fof(f401,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f686,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f676,f533]) ).
fof(f676,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f402,f411]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f33]) ).
fof(f33,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f677,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f402,f408]) ).
fof(f408,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f407,f1]) ).
fof(f407,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f400]) ).
fof(f721,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f689,f401]) ).
fof(f855,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f854]) ).
fof(f854,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f842,f715]) ).
fof(f715,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f689,f411]) ).
fof(f842,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f100,f719]) ).
fof(f719,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f689,f460]) ).
fof(f460,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f411,f80]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f100,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f841,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f840,f532,f105,f87,f78,f60,f31,f60]) ).
fof(f840,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f822,f732]) ).
fof(f822,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f821]) ).
fof(f821,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f809,f715]) ).
fof(f809,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f808,f533]) ).
fof(f808,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f807,f533]) ).
fof(f807,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f106,f719]) ).
fof(f806,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f805,f532,f96,f87,f60,f31,f60]) ).
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(f805,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f787,f732]) ).
fof(f787,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f786]) ).
fof(f786,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f754,f715]) ).
fof(f754,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f97,f533]) ).
fof(f97,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f748,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f746]) ).
fof(f746,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f675,f719]) ).
fof(f675,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f674,f550]) ).
fof(f550,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f419,f533]) ).
fof(f419,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f408,f33]) ).
fof(f674,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[],[f36,f533]) ).
fof(f36,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f714,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f713,f532,f102,f87,f31,f60]) ).
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(f713,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f712]) ).
fof(f712,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f711,f533]) ).
fof(f711,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f103,f687]) ).
fof(f103,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f543,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f539,f87,f78,f69,f532]) ).
fof(f69,plain,
( spl0_8
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f539,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f71,f460]) ).
fof(f71,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f521,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f504,f102,f45,f40]) ).
fof(f504,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f503]) ).
fof(f503,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f103,f47]) ).
fof(f360,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f359,f99,f55,f50,f45,f40,f35,f40]) ).
fof(f359,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f335,f223]) ).
fof(f223,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f216,f215]) ).
fof(f215,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f189,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f188,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f164]) ).
fof(f164,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f163,f108]) ).
fof(f163,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f158,f162]) ).
fof(f162,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_c3,sk_c5) = multiply(sk_c7,sk_c6)
| ~ 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(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(f154,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f150]) ).
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(f150,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f144,f123]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f47]) ).
fof(f144,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f116,f37]) ).
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(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(f216,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f189,f170]) ).
fof(f170,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f109,f162]) ).
fof(f335,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f334,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f322,f198]) ).
fof(f198,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f196,f189]) ).
fof(f196,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,f167]) ).
fof(f167,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f161,f162]) ).
fof(f161,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f57,f156]) ).
fof(f322,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,[],[f321,f162]) ).
fof(f321,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f156]) ).
fof(f320,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f319,f96,f55,f50,f45,f40,f35,f40]) ).
fof(f319,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f287,f223]) ).
fof(f287,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f194,f198]) ).
fof(f194,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,f162]) ).
fof(f193,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(trivial_inequality_removal,[],[f191]) ).
fof(f191,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(superposition,[],[f190,f162]) ).
fof(f190,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(superposition,[],[f166,f123]) ).
fof(f166,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(forward_demodulation,[],[f160,f162]) ).
fof(f160,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(superposition,[],[f70,f156]) ).
fof(f70,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f107,plain,
( spl0_11
| ~ spl0_8
| spl0_12
| ~ spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f69,f96]) ).
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)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_22) ).
fof(f90,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f35,f87]) ).
fof(f24,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_17) ).
fof(f81,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f35,f78]) ).
fof(f19,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_12) ).
fof(f72,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f35,f69]) ).
fof(f14,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_7) ).
fof(f63,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f60]) ).
fof(f9,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_6) ).
fof(f58,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f55,f31]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_5) ).
fof(f53,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f50,f31]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_4) ).
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_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',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_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_2) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f35,f31]) ).
fof(f4,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP270-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:53:53 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.20/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.wSYEmHY32i/Vampire---4.8_28996
% 0.61/0.77 % (29183)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.77 % (29178)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 (2995ds/34Mi)
% 0.61/0.77 % (29185)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 (2995ds/56Mi)
% 0.61/0.77 % (29180)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.77 % (29179)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 (2995ds/51Mi)
% 0.61/0.77 % (29181)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.77 % (29182)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 (2995ds/34Mi)
% 0.61/0.77 % (29184)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 (2995ds/83Mi)
% 0.61/0.77 % (29185)Refutation not found, incomplete strategy% (29185)------------------------------
% 0.61/0.77 % (29185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (29178)Refutation not found, incomplete strategy% (29178)------------------------------
% 0.61/0.77 % (29178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (29185)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (29185)Memory used [KB]: 980
% 0.61/0.77 % (29185)Time elapsed: 0.003 s
% 0.61/0.77 % (29185)Instructions burned: 3 (million)
% 0.61/0.77 % (29178)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (29178)Memory used [KB]: 995
% 0.61/0.77 % (29178)Time elapsed: 0.003 s
% 0.61/0.77 % (29178)Instructions burned: 3 (million)
% 0.61/0.77 % (29185)------------------------------
% 0.61/0.77 % (29185)------------------------------
% 0.61/0.77 % (29183)Refutation not found, incomplete strategy% (29183)------------------------------
% 0.61/0.77 % (29183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (29178)------------------------------
% 0.61/0.77 % (29178)------------------------------
% 0.61/0.77 % (29183)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (29183)Memory used [KB]: 984
% 0.61/0.77 % (29183)Time elapsed: 0.004 s
% 0.61/0.77 % (29183)Instructions burned: 4 (million)
% 0.61/0.77 % (29183)------------------------------
% 0.61/0.77 % (29183)------------------------------
% 0.61/0.78 % (29181)Refutation not found, incomplete strategy% (29181)------------------------------
% 0.61/0.78 % (29181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29181)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (29181)Memory used [KB]: 987
% 0.61/0.78 % (29182)Refutation not found, incomplete strategy% (29182)------------------------------
% 0.61/0.78 % (29182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29181)Time elapsed: 0.004 s
% 0.61/0.78 % (29181)Instructions burned: 3 (million)
% 0.61/0.78 % (29182)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78 % (29180)Refutation not found, incomplete strategy% (29180)------------------------------
% 0.61/0.78 % (29180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29180)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (29180)Memory used [KB]: 1051
% 0.61/0.78 % (29180)Time elapsed: 0.005 s
% 0.61/0.78 % (29180)Instructions burned: 4 (million)
% 0.61/0.78
% 0.61/0.78 % (29182)Memory used [KB]: 995
% 0.61/0.78 % (29182)Time elapsed: 0.005 s
% 0.61/0.78 % (29182)Instructions burned: 4 (million)
% 0.61/0.78 % (29181)------------------------------
% 0.61/0.78 % (29181)------------------------------
% 0.61/0.78 % (29180)------------------------------
% 0.61/0.78 % (29180)------------------------------
% 0.61/0.78 % (29182)------------------------------
% 0.61/0.78 % (29182)------------------------------
% 0.61/0.78 % (29188)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 (2995ds/55Mi)
% 0.61/0.78 % (29190)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 (2995ds/208Mi)
% 0.61/0.78 % (29189)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 (2995ds/50Mi)
% 0.61/0.78 % (29189)Refutation not found, incomplete strategy% (29189)------------------------------
% 0.61/0.78 % (29189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29189)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (29189)Memory used [KB]: 989
% 0.61/0.78 % (29189)Time elapsed: 0.004 s
% 0.61/0.78 % (29189)Instructions burned: 5 (million)
% 0.61/0.78 % (29191)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 (2995ds/52Mi)
% 0.61/0.78 % (29189)------------------------------
% 0.61/0.78 % (29189)------------------------------
% 0.61/0.78 % (29193)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 (2995ds/42Mi)
% 0.61/0.78 % (29192)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 (2995ds/518Mi)
% 0.61/0.78 % (29193)Refutation not found, incomplete strategy% (29193)------------------------------
% 0.61/0.78 % (29193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29193)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (29193)Memory used [KB]: 1002
% 0.61/0.78 % (29193)Time elapsed: 0.003 s
% 0.61/0.78 % (29193)Instructions burned: 4 (million)
% 0.61/0.78 % (29193)------------------------------
% 0.61/0.78 % (29193)------------------------------
% 0.61/0.78 % (29192)Refutation not found, incomplete strategy% (29192)------------------------------
% 0.61/0.78 % (29192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29191)Refutation not found, incomplete strategy% (29191)------------------------------
% 0.61/0.78 % (29191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (29192)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (29192)Memory used [KB]: 984
% 0.61/0.78 % (29192)Time elapsed: 0.004 s
% 0.61/0.78 % (29192)Instructions burned: 4 (million)
% 0.61/0.78 % (29191)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (29191)Memory used [KB]: 1051
% 0.61/0.78 % (29191)Time elapsed: 0.004 s
% 0.61/0.78 % (29191)Instructions burned: 4 (million)
% 0.61/0.78 % (29192)------------------------------
% 0.61/0.78 % (29192)------------------------------
% 0.61/0.78 % (29191)------------------------------
% 0.61/0.78 % (29191)------------------------------
% 0.61/0.78 % (29195)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 (2995ds/243Mi)
% 0.61/0.79 % (29196)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 (2995ds/117Mi)
% 0.61/0.79 % (29197)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 (2995ds/143Mi)
% 0.61/0.79 % (29198)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.79 % (29196)Refutation not found, incomplete strategy% (29196)------------------------------
% 0.61/0.79 % (29196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (29196)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (29196)Memory used [KB]: 981
% 0.61/0.79 % (29196)Time elapsed: 0.003 s
% 0.61/0.79 % (29196)Instructions burned: 3 (million)
% 0.61/0.79 % (29196)------------------------------
% 0.61/0.79 % (29196)------------------------------
% 0.61/0.79 % (29197)Refutation not found, incomplete strategy% (29197)------------------------------
% 0.61/0.79 % (29197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (29197)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (29197)Memory used [KB]: 997
% 0.61/0.79 % (29197)Time elapsed: 0.003 s
% 0.61/0.79 % (29197)Instructions burned: 3 (million)
% 0.61/0.79 % (29197)------------------------------
% 0.61/0.79 % (29197)------------------------------
% 0.61/0.79 % (29200)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.79 % (29179)First to succeed.
% 0.61/0.79 % (29201)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.79 % (29200)Refutation not found, incomplete strategy% (29200)------------------------------
% 0.61/0.79 % (29200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (29200)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (29200)Memory used [KB]: 981
% 0.61/0.79 % (29200)Time elapsed: 0.003 s
% 0.61/0.79 % (29200)Instructions burned: 3 (million)
% 0.61/0.79 % (29200)------------------------------
% 0.61/0.79 % (29200)------------------------------
% 0.61/0.79 % (29179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29143"
% 0.61/0.79 % (29201)Refutation not found, incomplete strategy% (29201)------------------------------
% 0.61/0.79 % (29201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (29201)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (29201)Memory used [KB]: 1061
% 0.61/0.80 % (29201)Time elapsed: 0.004 s
% 0.61/0.80 % (29201)Instructions burned: 5 (million)
% 0.61/0.80 % (29201)------------------------------
% 0.61/0.80 % (29201)------------------------------
% 0.61/0.80 % (29179)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (29179)------------------------------
% 0.61/0.80 % (29179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (29179)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (29179)Memory used [KB]: 1254
% 0.61/0.80 % (29179)Time elapsed: 0.024 s
% 0.61/0.80 % (29179)Instructions burned: 33 (million)
% 0.61/0.80 % (29143)Success in time 0.435 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------