TSTP Solution File: GRP266-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP266-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:07:50 EDT 2024
% Result : Unsatisfiable 0.69s 0.93s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 59
% Syntax : Number of formulae : 178 ( 4 unt; 0 def)
% Number of atoms : 563 ( 225 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 720 ( 335 ~; 366 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f817,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f69,f99,f100,f110,f111,f112,f113,f121,f122,f123,f124,f125,f126,f127,f132,f133,f134,f135,f136,f137,f138,f143,f144,f145,f146,f147,f148,f149,f154,f155,f156,f157,f158,f159,f160,f173,f176,f180,f212,f295,f357,f632,f691,f734,f816]) ).
fof(f816,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f815,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f814]) ).
fof(f814,plain,
( sk_c10 != sk_c10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f813,f358]) ).
fof(f358,plain,
( sk_c10 = sk_c9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f131,f324]) ).
fof(f324,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f309,f142]) ).
fof(f142,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_13
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f309,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f308,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f308,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f300]) ).
fof(f300,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f2,f153]) ).
fof(f153,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_14
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f131,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_12
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f813,plain,
( sk_c10 != sk_c9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f768,f120]) ).
fof(f120,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_11
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f768,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f764]) ).
fof(f764,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f696,f379]) ).
fof(f379,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f378,f1]) ).
fof(f378,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f3,f368]) ).
fof(f368,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f367,f358]) ).
fof(f367,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f120]) ).
fof(f696,plain,
( ! [X6] :
( sk_c10 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f169,f358]) ).
fof(f169,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl0_17
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f734,plain,
( spl0_37
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f726,f151,f140,f129,f118,f107,f688]) ).
fof(f688,plain,
( spl0_37
<=> sk_c10 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f107,plain,
( spl0_10
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f726,plain,
( sk_c10 = sk_c4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f324,f708]) ).
fof(f708,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f379,f697]) ).
fof(f697,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f371,f379]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f370,f358]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f109]) ).
fof(f109,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f691,plain,
( ~ spl0_14
| ~ spl0_37
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f677,f165,f151,f140,f129,f688,f151]) ).
fof(f165,plain,
( spl0_16
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f677,plain,
( sk_c10 != sk_c4
| sk_c10 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f636,f142]) ).
fof(f636,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f635,f358]) ).
fof(f635,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c10)
| sk_c9 != inverse(X4) )
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f166,f358]) ).
fof(f166,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f632,plain,
( ~ spl0_14
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f606,f171,f151,f140,f129,f151]) ).
fof(f171,plain,
( spl0_18
<=> ! [X10] :
( sk_c9 != inverse(X10)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f606,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f605]) ).
fof(f605,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f479,f309]) ).
fof(f479,plain,
( ! [X10] :
( sk_c10 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != inverse(X10) )
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f478,f358]) ).
fof(f478,plain,
( ! [X10] :
( sk_c10 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != inverse(X10) )
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f172,f358]) ).
fof(f172,plain,
( ! [X10] :
( sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X10) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f357,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f346,f162,f57,f96]) ).
fof(f96,plain,
( spl0_9
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f57,plain,
( spl0_1
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f162,plain,
( spl0_15
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f346,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f343]) ).
fof(f343,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f163,f59]) ).
fof(f59,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f163,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f295,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f293]) ).
fof(f293,plain,
( sk_c10 != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f292,f274]) ).
fof(f274,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f272,f83]) ).
fof(f83,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_6
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f272,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f243,f88]) ).
fof(f88,plain,
( sk_c8 = multiply(sk_c7,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_7
<=> sk_c8 = multiply(sk_c7,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f235,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f2,f93]) ).
fof(f93,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f292,plain,
( sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f291,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f291,plain,
( sk_c10 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f290,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f289,f274]) ).
fof(f289,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f286,f283]) ).
fof(f283,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f258,f274]) ).
fof(f258,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f242,f73]) ).
fof(f73,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_4
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f234,f1]) ).
fof(f234,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f215]) ).
fof(f215,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f2,f78]) ).
fof(f286,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f169,f276]) ).
fof(f276,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f73,f274]) ).
fof(f212,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f211,f171,f91,f86,f81]) ).
fof(f211,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f210]) ).
fof(f210,plain,
( sk_c9 != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f198,f93]) ).
fof(f198,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(sk_c7)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f172,f88]) ).
fof(f180,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f179,f165,f71,f76]) ).
fof(f179,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f177,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f166,f73]) ).
fof(f176,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f175,f162,f61,f66]) ).
fof(f66,plain,
( spl0_3
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f61,plain,
( spl0_2
<=> sk_c10 = multiply(sk_c5,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f175,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f174]) ).
fof(f174,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f163,f63]) ).
fof(f63,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f173,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_15
| spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f55,f171,f165,f162,f168,f165,f162]) ).
fof(f55,plain,
! [X3,X10,X8,X6,X7,X4] :
( sk_c9 != inverse(X10)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X10)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(X10)
| multiply(X10,sk_c9) != X9
| sk_c10 != multiply(sk_c9,X9)
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f160,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f91,f151]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f159,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f86,f151]) ).
fof(f51,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f158,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f81,f151]) ).
fof(f50,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f157,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f76,f151]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f156,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f71,f151]) ).
fof(f48,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f155,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f47,f66,f151]) ).
fof(f47,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f154,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f46,f61,f151]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f149,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f91,f140]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f148,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f86,f140]) ).
fof(f44,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f147,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f81,f140]) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f146,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f76,f140]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f145,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f71,f140]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f144,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f66,f140]) ).
fof(f40,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f143,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f61,f140]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f138,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f38,f91,f129]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f137,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f86,f129]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f136,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f81,f129]) ).
fof(f36,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f135,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f76,f129]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f134,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f71,f129]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f133,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f66,f129]) ).
fof(f33,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f132,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f61,f129]) ).
fof(f32,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f127,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f91,f118]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f126,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f86,f118]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f125,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f81,f118]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f124,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f76,f118]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f123,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f71,f118]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f122,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f66,f118]) ).
fof(f26,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f121,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f61,f118]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f113,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f76,f107]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f112,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f71,f107]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f111,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f66,f107]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f110,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f61,f107]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f100,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f66,f96]) ).
fof(f12,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f99,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f61,f96]) ).
fof(f11,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f69,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f66,f57]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f64,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f61,f57]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP266-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 05:04:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.91 % (8807)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.69/0.91 % (8809)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.69/0.91 % (8810)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.69/0.91 % (8808)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.69/0.91 % (8811)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.69/0.91 % (8812)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.69/0.91 % (8813)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.69/0.91 % (8814)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.69/0.91 % (8807)Refutation not found, incomplete strategy% (8807)------------------------------
% 0.69/0.91 % (8807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (8807)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.91
% 0.69/0.91 % (8807)Memory used [KB]: 1036
% 0.69/0.91 % (8807)Time elapsed: 0.004 s
% 0.69/0.91 % (8807)Instructions burned: 5 (million)
% 0.69/0.91 % (8810)Refutation not found, incomplete strategy% (8810)------------------------------
% 0.69/0.91 % (8810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (8810)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.91
% 0.69/0.91 % (8810)Memory used [KB]: 1036
% 0.69/0.91 % (8810)Time elapsed: 0.004 s
% 0.69/0.91 % (8810)Instructions burned: 5 (million)
% 0.69/0.91 % (8814)Refutation not found, incomplete strategy% (8814)------------------------------
% 0.69/0.91 % (8814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (8814)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.91
% 0.69/0.91 % (8814)Memory used [KB]: 1038
% 0.69/0.91 % (8814)Time elapsed: 0.004 s
% 0.69/0.91 % (8814)Instructions burned: 5 (million)
% 0.69/0.91 % (8811)Refutation not found, incomplete strategy% (8811)------------------------------
% 0.69/0.91 % (8811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.91 % (8811)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.91
% 0.69/0.91 % (8811)Memory used [KB]: 1119
% 0.69/0.91 % (8814)------------------------------
% 0.69/0.91 % (8814)------------------------------
% 0.69/0.91 % (8810)------------------------------
% 0.69/0.91 % (8810)------------------------------
% 0.69/0.91 % (8811)Time elapsed: 0.004 s
% 0.69/0.91 % (8807)------------------------------
% 0.69/0.91 % (8807)------------------------------
% 0.69/0.91 % (8811)Instructions burned: 5 (million)
% 0.69/0.91 % (8811)------------------------------
% 0.69/0.91 % (8811)------------------------------
% 0.69/0.92 % (8815)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.69/0.92 % (8817)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.69/0.92 % (8816)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.69/0.92 % (8818)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.69/0.92 % (8816)Refutation not found, incomplete strategy% (8816)------------------------------
% 0.69/0.92 % (8816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (8816)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.92
% 0.69/0.92 % (8816)Memory used [KB]: 1074
% 0.69/0.92 % (8816)Time elapsed: 0.005 s
% 0.69/0.92 % (8816)Instructions burned: 8 (million)
% 0.69/0.92 % (8816)------------------------------
% 0.69/0.92 % (8816)------------------------------
% 0.69/0.92 % (8819)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.69/0.92 % (8808)First to succeed.
% 0.69/0.93 % (8808)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8806"
% 0.69/0.93 % (8808)Refutation found. Thanks to Tanya!
% 0.69/0.93 % SZS status Unsatisfiable for theBenchmark
% 0.69/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.93 % (8808)------------------------------
% 0.69/0.93 % (8808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.93 % (8808)Termination reason: Refutation
% 0.69/0.93
% 0.69/0.93 % (8808)Memory used [KB]: 1303
% 0.69/0.93 % (8808)Time elapsed: 0.018 s
% 0.69/0.93 % (8808)Instructions burned: 29 (million)
% 0.69/0.93 % (8806)Success in time 0.557 s
% 0.69/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------