TSTP Solution File: GRP367-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP367-1 : 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 : n029.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 05:47:33 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 47
% Syntax : Number of formulae : 221 ( 4 unt; 0 def)
% Number of atoms : 987 ( 251 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1513 ( 747 ~; 751 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1018,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f49,f54,f59,f64,f69,f70,f71,f72,f73,f78,f79,f80,f81,f82,f87,f88,f89,f90,f91,f96,f97,f98,f99,f105,f106,f107,f108,f122,f180,f293,f376,f415,f456,f638,f890,f914,f933,f1010,f1017]) ).
fof(f1017,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1015]) ).
fof(f1015,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1014,f653]) ).
fof(f653,plain,
( sk_c6 = sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f652,f481]) ).
fof(f481,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f477,f68]) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f477,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f467,f77]) ).
fof(f77,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_8
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f466,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',left_identity) ).
fof(f466,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f458]) ).
fof(f458,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',associativity) ).
fof(f652,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f650,f39]) ).
fof(f39,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f650,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f469,f95]) ).
fof(f95,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f468,f1]) ).
fof(f468,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f459]) ).
fof(f459,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f2,f104]) ).
fof(f104,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1014,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1013,f666]) ).
fof(f666,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f655,f481]) ).
fof(f655,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f39,f653]) ).
fof(f1013,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f42,f481]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1010,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1004,f111,f84,f75,f66,f84]) ).
fof(f111,plain,
( spl0_12
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1004,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1000]) ).
fof(f1000,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f934,f467]) ).
fof(f934,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f481]) ).
fof(f112,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f933,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f932,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f931]) ).
fof(f931,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f930,f653]) ).
fof(f930,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f924,f104]) ).
fof(f924,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f923]) ).
fof(f923,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f916,f657]) ).
fof(f657,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f95,f653]) ).
fof(f916,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f915,f653]) ).
fof(f915,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f653]) ).
fof(f115,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f914,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f913,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f912]) ).
fof(f912,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f911,f653]) ).
fof(f911,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f900,f104]) ).
fof(f900,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f899]) ).
fof(f899,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f891,f657]) ).
fof(f891,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f481]) ).
fof(f118,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_14
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f890,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f888]) ).
fof(f888,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f887,f653]) ).
fof(f887,plain,
( sk_c6 != sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f886,f104]) ).
fof(f886,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f885,f481]) ).
fof(f885,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f884]) ).
fof(f884,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c3)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f866,f481]) ).
fof(f866,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f121,f95]) ).
fof(f121,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_15
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f638,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f618,f481]) ).
fof(f618,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f617,f487]) ).
fof(f487,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f53,f481]) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f617,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f611,f494]) ).
fof(f494,plain,
( sk_c6 = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f493,f481]) ).
fof(f493,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f486,f138]) ).
fof(f138,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f136,f53]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f128,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f486,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f43,f481]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f611,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f62,f589]) ).
fof(f589,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f571,f570]) ).
fof(f570,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f546,f123]) ).
fof(f546,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f542,f1]) ).
fof(f542,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f3,f509]) ).
fof(f509,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f508,f123]) ).
fof(f508,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f502,f481]) ).
fof(f502,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f146,f494]) ).
fof(f146,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f129,f123]) ).
fof(f129,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f571,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f546,f488]) ).
fof(f488,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f124,f481]) ).
fof(f124,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f62,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f456,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f455,f120,f61,f56,f51,f46,f41,f46]) ).
fof(f455,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f431,f253]) ).
fof(f253,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f246,f245]) ).
fof(f245,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f238,f123]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f136,f226]) ).
fof(f226,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f225,f1]) ).
fof(f225,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f220,f158]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f131,f137]) ).
fof(f137,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f124]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f53]) ).
fof(f220,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f185]) ).
fof(f185,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f124,f181]) ).
fof(f181,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f178,f53]) ).
fof(f178,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f166,f172]) ).
fof(f172,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f170,f167]) ).
fof(f167,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f161,f166]) ).
fof(f161,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f131,f142]) ).
fof(f142,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f137,f63]) ).
fof(f63,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f170,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f136,f166]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f160,f138]) ).
fof(f160,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f131,f43]) ).
fof(f246,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f238,f185]) ).
fof(f431,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f430]) ).
fof(f430,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f418,f204]) ).
fof(f204,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f174,f181]) ).
fof(f174,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f63,f172]) ).
fof(f418,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f417,f181]) ).
fof(f417,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f416,f181]) ).
fof(f416,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f172]) ).
fof(f415,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f414,f117,f61,f56,f51,f46,f41,f46]) ).
fof(f414,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f390,f253]) ).
fof(f390,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f389]) ).
fof(f389,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f377,f204]) ).
fof(f377,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f181]) ).
fof(f376,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f375,f114,f61,f56,f51,f46,f41,f46]) ).
fof(f375,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f351,f253]) ).
fof(f351,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f350]) ).
fof(f350,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f297,f204]) ).
fof(f297,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f296,f181]) ).
fof(f296,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f295,f172]) ).
fof(f295,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f294,f181]) ).
fof(f294,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f172]) ).
fof(f293,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f272,f111,f61,f56,f51,f46,f41,f46]) ).
fof(f272,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f182,f136]) ).
fof(f182,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f112,f181]) ).
fof(f180,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f177,plain,
( sk_c7 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f153,f172]) ).
fof(f153,plain,
( sk_c6 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f38,f150]) ).
fof(f150,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f148,f142]) ).
fof(f148,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f129,f138]) ).
fof(f38,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f122,plain,
( ~ spl0_1
| spl0_12
| spl0_13
| ~ spl0_2
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f120,f117,f41,f114,f111,f37]) ).
fof(f35,plain,
! [X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| multiply(sk_c6,sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| multiply(sk_c6,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_31) ).
fof(f108,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f56,f102]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_29) ).
fof(f107,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f51,f102]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_28) ).
fof(f106,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f46,f102]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_27) ).
fof(f105,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f41,f102]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_26) ).
fof(f99,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f56,f93]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_24) ).
fof(f98,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f51,f93]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_23) ).
fof(f97,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f46,f93]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_22) ).
fof(f96,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f41,f93]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_21) ).
fof(f91,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f61,f84]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_20) ).
fof(f90,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f56,f84]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_19) ).
fof(f89,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f51,f84]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_18) ).
fof(f88,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f46,f84]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_17) ).
fof(f87,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f41,f84]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_16) ).
fof(f82,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f61,f75]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_15) ).
fof(f81,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f56,f75]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_14) ).
fof(f80,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f51,f75]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_13) ).
fof(f79,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f46,f75]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_12) ).
fof(f78,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f41,f75]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_11) ).
fof(f73,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f61,f66]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_10) ).
fof(f72,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f56,f66]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_9) ).
fof(f71,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f51,f66]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_8) ).
fof(f70,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f46,f66]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_7) ).
fof(f69,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f41,f66]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_6) ).
fof(f64,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f61,f37]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_5) ).
fof(f59,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f56,f37]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_4) ).
fof(f54,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f51,f37]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_3) ).
fof(f49,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f46,f37]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_2) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f41,f37]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.VC4yHony4m/Vampire---4.8_21607',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP367-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:48:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 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.VC4yHony4m/Vampire---4.8_21607
% 0.57/0.74 % (21992)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74 % (21985)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (21987)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (21992)Refutation not found, incomplete strategy% (21992)------------------------------
% 0.57/0.74 % (21992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (21992)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (21992)Memory used [KB]: 983
% 0.57/0.74 % (21992)Time elapsed: 0.002 s
% 0.57/0.74 % (21992)Instructions burned: 4 (million)
% 0.57/0.74 % (21988)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74 % (21990)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74 % (21986)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74 % (21992)------------------------------
% 0.57/0.74 % (21992)------------------------------
% 0.57/0.74 % (21989)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (21991)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (21985)Refutation not found, incomplete strategy% (21985)------------------------------
% 0.57/0.75 % (21985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21985)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21985)Memory used [KB]: 999
% 0.57/0.75 % (21985)Time elapsed: 0.004 s
% 0.57/0.75 % (21988)Refutation not found, incomplete strategy% (21988)------------------------------
% 0.57/0.75 % (21988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21988)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21988)Memory used [KB]: 989
% 0.57/0.75 % (21988)Time elapsed: 0.003 s
% 0.57/0.75 % (21988)Instructions burned: 4 (million)
% 0.57/0.75 % (21985)Instructions burned: 4 (million)
% 0.57/0.75 % (21989)Refutation not found, incomplete strategy% (21989)------------------------------
% 0.57/0.75 % (21989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21989)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21989)Memory used [KB]: 998
% 0.57/0.75 % (21989)Time elapsed: 0.004 s
% 0.57/0.75 % (21989)Instructions burned: 4 (million)
% 0.57/0.75 % (21988)------------------------------
% 0.57/0.75 % (21988)------------------------------
% 0.57/0.75 % (21985)------------------------------
% 0.57/0.75 % (21985)------------------------------
% 0.57/0.75 % (21990)Refutation not found, incomplete strategy% (21990)------------------------------
% 0.57/0.75 % (21990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21990)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21990)Memory used [KB]: 987
% 0.57/0.75 % (21990)Time elapsed: 0.004 s
% 0.57/0.75 % (21987)Refutation not found, incomplete strategy% (21987)------------------------------
% 0.57/0.75 % (21987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21987)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21987)Memory used [KB]: 1053
% 0.57/0.75 % (21987)Time elapsed: 0.004 s
% 0.57/0.75 % (21987)Instructions burned: 5 (million)
% 0.57/0.75 % (21990)Instructions burned: 5 (million)
% 0.57/0.75 % (21996)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (21989)------------------------------
% 0.57/0.75 % (21989)------------------------------
% 0.57/0.75 % (21987)------------------------------
% 0.57/0.75 % (21987)------------------------------
% 0.57/0.75 % (21990)------------------------------
% 0.57/0.75 % (21990)------------------------------
% 0.57/0.75 % (21996)Refutation not found, incomplete strategy% (21996)------------------------------
% 0.57/0.75 % (21996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21996)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21996)Memory used [KB]: 1063
% 0.57/0.75 % (21996)Time elapsed: 0.003 s
% 0.57/0.75 % (21996)Instructions burned: 5 (million)
% 0.57/0.75 % (21996)------------------------------
% 0.57/0.75 % (21996)------------------------------
% 0.57/0.75 % (21998)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75 % (22000)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.75 % (22001)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.75 % (22002)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.75 % (22003)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.75 % (22005)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.75 % (21998)Refutation not found, incomplete strategy% (21998)------------------------------
% 0.57/0.75 % (21998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (21998)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21998)Memory used [KB]: 991
% 0.57/0.75 % (21998)Time elapsed: 0.004 s
% 0.57/0.75 % (21998)Instructions burned: 5 (million)
% 0.57/0.75 % (22003)Refutation not found, incomplete strategy% (22003)------------------------------
% 0.57/0.75 % (22003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (22003)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (22003)Memory used [KB]: 1004
% 0.57/0.75 % (22003)Time elapsed: 0.003 s
% 0.57/0.75 % (22003)Instructions burned: 4 (million)
% 0.57/0.75 % (21998)------------------------------
% 0.57/0.75 % (21998)------------------------------
% 0.57/0.75 % (22003)------------------------------
% 0.57/0.75 % (22003)------------------------------
% 0.57/0.75 % (22001)Refutation not found, incomplete strategy% (22001)------------------------------
% 0.57/0.75 % (22001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (22001)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (22001)Memory used [KB]: 1053
% 0.57/0.75 % (22001)Time elapsed: 0.004 s
% 0.57/0.75 % (22001)Instructions burned: 5 (million)
% 0.57/0.75 % (22001)------------------------------
% 0.57/0.75 % (22001)------------------------------
% 0.57/0.76 % (22009)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.76 % (22010)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.76 % (22012)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 (2996ds/93Mi)
% 0.57/0.76 % (22009)Refutation not found, incomplete strategy% (22009)------------------------------
% 0.57/0.76 % (22009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22009)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (22009)Memory used [KB]: 985
% 0.57/0.76 % (22009)Time elapsed: 0.004 s
% 0.57/0.76 % (22009)Instructions burned: 4 (million)
% 0.57/0.76 % (22009)------------------------------
% 0.57/0.76 % (22009)------------------------------
% 0.57/0.76 % (22010)Refutation not found, incomplete strategy% (22010)------------------------------
% 0.57/0.76 % (22010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22010)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (22010)Memory used [KB]: 1000
% 0.57/0.76 % (22010)Time elapsed: 0.004 s
% 0.57/0.76 % (22010)Instructions burned: 4 (million)
% 0.57/0.76 % (21986)First to succeed.
% 0.57/0.76 % (22010)------------------------------
% 0.57/0.76 % (22010)------------------------------
% 0.57/0.76 % (21986)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21852"
% 0.57/0.76 % (21986)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (21986)------------------------------
% 0.57/0.77 % (21986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (21986)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (21986)Memory used [KB]: 1228
% 0.57/0.77 % (21986)Time elapsed: 0.020 s
% 0.57/0.77 % (21986)Instructions burned: 33 (million)
% 0.57/0.77 % (21852)Success in time 0.387 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------