TSTP Solution File: GRP365-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP365-1 : 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 : n003.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 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 51
% Syntax : Number of formulae : 231 ( 4 unt; 0 def)
% Number of atoms : 937 ( 261 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1391 ( 685 ~; 689 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1886,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,f100,f105,f106,f107,f108,f109,f122,f287,f390,f428,f464,f502,f538,f570,f687,f1496,f1631,f1682,f1814,f1844,f1885]) ).
fof(f1885,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1884,f504,f117,f102,f93,f84,f37,f84]) ).
fof(f37,plain,
( spl0_1
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f84,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f93,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f102,plain,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f117,plain,
( spl0_14
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f504,plain,
( spl0_18
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1884,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1863,f1694]) ).
fof(f1694,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1658,f1564]) ).
fof(f1564,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f815,f542]) ).
fof(f542,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(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',left_inverse) ).
fof(f815,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f814,f548]) ).
fof(f548,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f546,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',left_identity) ).
fof(f546,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f519]) ).
fof(f519,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(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',associativity) ).
fof(f814,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f794,f505]) ).
fof(f505,plain,
( sk_c8 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f794,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f543,f548]) ).
fof(f543,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f39]) ).
fof(f39,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f1658,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1576,f519]) ).
fof(f1576,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1565,f1559]) ).
fof(f1559,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f815,f550]) ).
fof(f550,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f549,f1]) ).
fof(f549,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f542]) ).
fof(f1565,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f544,f815]) ).
fof(f544,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f95]) ).
fof(f95,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f1863,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1862]) ).
fof(f1862,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f1851,f1559]) ).
fof(f1851,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f118,f505]) ).
fof(f118,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1844,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1843,f529,f504,f114,f102,f93,f84,f75,f37,f84]) ).
fof(f75,plain,
( spl0_8
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
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(f529,plain,
( spl0_20
<=> sk_c8 = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1843,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1842]) ).
fof(f1842,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1824,f530]) ).
fof(f530,plain,
( sk_c8 = sk_c2
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f1824,plain,
( sk_c8 != sk_c2
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f1816,f77]) ).
fof(f77,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f1816,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1815,f1604]) ).
fof(f1604,plain,
( sk_c6 = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f590,f815]) ).
fof(f590,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f550,f95]) ).
fof(f1815,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f115,f1604]) ).
fof(f115,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f1814,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1813,f504,f120,f102,f93,f84,f37,f84]) ).
fof(f120,plain,
( spl0_15
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1813,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1792,f1694]) ).
fof(f1792,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1791]) ).
fof(f1791,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f1641,f1559]) ).
fof(f1641,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f121,f1604]) ).
fof(f121,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f1682,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1681,f504,f102,f93,f84,f66,f37,f529]) ).
fof(f66,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1681,plain,
( sk_c8 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1665,f505]) ).
fof(f1665,plain,
( sk_c7 = sk_c2
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f68,f1576]) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f1631,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1630]) ).
fof(f1630,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1629]) ).
fof(f1629,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1603,f1604]) ).
fof(f1603,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1554,f1576]) ).
fof(f1554,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f42,f505]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1496,plain,
( ~ spl0_9
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1485,f504,f111,f84,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(f1485,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1481]) ).
fof(f1481,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f715,f548]) ).
fof(f715,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f112,f505]) ).
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(f687,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f685]) ).
fof(f685,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f684,f592]) ).
fof(f592,plain,
( sk_c6 = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f590,f584]) ).
fof(f584,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f581,f505]) ).
fof(f581,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f580,f207]) ).
fof(f207,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f132,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f58]) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f580,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f579,f505]) ).
fof(f579,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f577,f39]) ).
fof(f577,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f132,f573]) ).
fof(f573,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f43,f505]) ).
fof(f684,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f683,f104]) ).
fof(f683,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f682]) ).
fof(f682,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f668,f592]) ).
fof(f668,plain,
( sk_c6 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f121,f595]) ).
fof(f595,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f95,f592]) ).
fof(f570,plain,
( spl0_18
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f566,f84,f75,f66,f504]) ).
fof(f566,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f68,f561]) ).
fof(f561,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f548,f77]) ).
fof(f538,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f536]) ).
fof(f536,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f535,f516]) ).
fof(f516,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f104,f141]) ).
fof(f141,plain,
( sk_c6 = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f138,f43]) ).
fof(f138,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f136,f48]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_4
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f535,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f533]) ).
fof(f533,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f465,f517]) ).
fof(f517,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f95,f141]) ).
fof(f465,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f121,f141]) ).
fof(f502,plain,
( ~ spl0_6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f496,f120,f56,f51,f46,f41,f61]) ).
fof(f61,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f496,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f495]) ).
fof(f495,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f475,f141]) ).
fof(f475,plain,
( sk_c6 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f465,f58]) ).
fof(f464,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f463,f117,f61,f56,f51,f46,f41,f51]) ).
fof(f463,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f441,f269]) ).
fof(f269,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f252,f267]) ).
fof(f267,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f248,f266]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f265,f215]) ).
fof(f215,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f214,f141]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f202,f213]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f212,f136]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f201,f141]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f132,f136]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f132,f137]) ).
fof(f137,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f265,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f247,f141]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f215,f128]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f248,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f215,f180]) ).
fof(f180,plain,
( identity = multiply(sk_c8,multiply(sk_c7,sk_c4))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f136,f161]) ).
fof(f161,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c4,identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f131,f123]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f48]) ).
fof(f252,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f215,f124]) ).
fof(f441,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f440]) ).
fof(f440,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f429,f213]) ).
fof(f429,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,f249]) ).
fof(f249,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f215,f138]) ).
fof(f428,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f427,f114,f61,f56,f51,f46,f41,f51]) ).
fof(f427,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f405,f269]) ).
fof(f405,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f404]) ).
fof(f404,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f393,f213]) ).
fof(f393,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f392,f141]) ).
fof(f392,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f141]) ).
fof(f390,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f389,f111,f61,f56,f51,f46,f41,f51]) ).
fof(f389,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f369,f269]) ).
fof(f369,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f366]) ).
fof(f366,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f294,f137]) ).
fof(f294,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,f249]) ).
fof(f287,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( sk_c8 != sk_c8
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f149,f249]) ).
fof(f149,plain,
( sk_c8 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f144,f147]) ).
fof(f147,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f145,f141]) ).
fof(f145,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f137,f58]) ).
fof(f144,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f38,f141]) ).
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_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| 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_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| 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.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_31) ).
fof(f109,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f33,f61,f102]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_30) ).
fof(f108,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f56,f102]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_29) ).
fof(f107,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f51,f102]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_28) ).
fof(f106,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f46,f102]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_27) ).
fof(f105,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f41,f102]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_26) ).
fof(f100,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f61,f93]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_25) ).
fof(f99,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f56,f93]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_24) ).
fof(f98,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f51,f93]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_23) ).
fof(f97,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f46,f93]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_22) ).
fof(f96,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f41,f93]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_21) ).
fof(f91,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f61,f84]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_20) ).
fof(f90,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f56,f84]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_19) ).
fof(f89,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f51,f84]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_18) ).
fof(f88,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f46,f84]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_17) ).
fof(f87,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f41,f84]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_16) ).
fof(f82,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f61,f75]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_15) ).
fof(f81,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f56,f75]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_14) ).
fof(f80,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f51,f75]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_13) ).
fof(f79,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f46,f75]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_12) ).
fof(f78,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f41,f75]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_11) ).
fof(f73,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f61,f66]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_10) ).
fof(f72,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f56,f66]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_9) ).
fof(f71,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f51,f66]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_8) ).
fof(f70,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f46,f66]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_7) ).
fof(f69,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f41,f66]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_6) ).
fof(f64,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f61,f37]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_5) ).
fof(f59,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f56,f37]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_4) ).
fof(f54,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f51,f37]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_3) ).
fof(f49,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f46,f37]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_2) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f41,f37]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.15 % 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
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:40:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.36 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/tmp/tmp.ZDoJ20EjDR/Vampire---4.8_15043
% 0.60/0.75 % (15307)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (15305)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)
% 0.60/0.75 % (15308)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)
% 0.60/0.75 % (15309)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)
% 0.60/0.75 % (15306)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)
% 0.60/0.75 % (15310)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)
% 0.60/0.75 % (15312)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)
% 0.60/0.75 % (15313)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)
% 0.60/0.75 % (15313)Refutation not found, incomplete strategy% (15313)------------------------------
% 0.60/0.75 % (15313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (15313)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (15305)Refutation not found, incomplete strategy% (15305)------------------------------
% 0.60/0.75 % (15305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (15313)Memory used [KB]: 983
% 0.60/0.75 % (15313)Time elapsed: 0.002 s
% 0.60/0.75 % (15313)Instructions burned: 4 (million)
% 0.60/0.75 % (15308)Refutation not found, incomplete strategy% (15308)------------------------------
% 0.60/0.75 % (15308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (15308)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (15308)Memory used [KB]: 980
% 0.60/0.75 % (15308)Time elapsed: 0.002 s
% 0.60/0.75 % (15308)Instructions burned: 4 (million)
% 0.60/0.75 % (15309)Refutation not found, incomplete strategy% (15309)------------------------------
% 0.60/0.75 % (15309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (15309)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (15309)Memory used [KB]: 998
% 0.60/0.75 % (15309)Time elapsed: 0.002 s
% 0.60/0.75 % (15309)Instructions burned: 4 (million)
% 0.60/0.75 % (15305)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (15305)Memory used [KB]: 999
% 0.60/0.75 % (15305)Time elapsed: 0.002 s
% 0.60/0.75 % (15305)Instructions burned: 4 (million)
% 0.60/0.75 % (15313)------------------------------
% 0.60/0.75 % (15313)------------------------------
% 0.60/0.75 % (15309)------------------------------
% 0.60/0.75 % (15309)------------------------------
% 0.60/0.75 % (15308)------------------------------
% 0.60/0.75 % (15308)------------------------------
% 0.60/0.75 % (15305)------------------------------
% 0.60/0.75 % (15305)------------------------------
% 0.60/0.75 % (15307)Refutation not found, incomplete strategy% (15307)------------------------------
% 0.60/0.75 % (15307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (15307)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (15307)Memory used [KB]: 1056
% 0.60/0.75 % (15307)Time elapsed: 0.003 s
% 0.60/0.75 % (15307)Instructions burned: 5 (million)
% 0.60/0.75 % (15307)------------------------------
% 0.60/0.75 % (15307)------------------------------
% 0.60/0.75 % (15317)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)
% 0.60/0.75 % (15320)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)
% 0.60/0.75 % (15316)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)
% 0.60/0.75 % (15318)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)
% 0.60/0.75 % (15317)Refutation not found, incomplete strategy% (15317)------------------------------
% 0.60/0.75 % (15317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (15317)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (15317)Memory used [KB]: 991
% 0.60/0.75 % (15317)Time elapsed: 0.002 s
% 0.60/0.75 % (15319)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)
% 0.60/0.75 % (15317)Instructions burned: 5 (million)
% 0.60/0.75 % (15317)------------------------------
% 0.60/0.75 % (15317)------------------------------
% 0.60/0.76 % (15316)Refutation not found, incomplete strategy% (15316)------------------------------
% 0.60/0.76 % (15316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (15316)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (15316)Memory used [KB]: 1066
% 0.60/0.76 % (15316)Time elapsed: 0.005 s
% 0.60/0.76 % (15316)Instructions burned: 5 (million)
% 0.60/0.76 % (15323)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)
% 0.60/0.76 % (15316)------------------------------
% 0.60/0.76 % (15316)------------------------------
% 0.60/0.76 % (15319)Refutation not found, incomplete strategy% (15319)------------------------------
% 0.60/0.76 % (15319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (15319)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (15319)Memory used [KB]: 1056
% 0.60/0.76 % (15319)Time elapsed: 0.005 s
% 0.60/0.76 % (15319)Instructions burned: 5 (million)
% 0.60/0.76 % (15319)------------------------------
% 0.60/0.76 % (15319)------------------------------
% 0.60/0.76 % (15323)Refutation not found, incomplete strategy% (15323)------------------------------
% 0.60/0.76 % (15323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (15323)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (15323)Memory used [KB]: 1004
% 0.60/0.76 % (15323)Time elapsed: 0.002 s
% 0.60/0.76 % (15323)Instructions burned: 4 (million)
% 0.60/0.76 % (15323)------------------------------
% 0.60/0.76 % (15323)------------------------------
% 0.60/0.76 % (15328)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)
% 0.60/0.76 % (15325)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)
% 0.60/0.76 % (15327)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)
% 0.60/0.76 % (15328)Refutation not found, incomplete strategy% (15328)------------------------------
% 0.60/0.76 % (15328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (15328)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (15328)Memory used [KB]: 1000
% 0.60/0.76 % (15328)Time elapsed: 0.002 s
% 0.60/0.76 % (15328)Instructions burned: 4 (million)
% 0.60/0.76 % (15328)------------------------------
% 0.60/0.76 % (15328)------------------------------
% 0.60/0.76 % (15306)First to succeed.
% 0.60/0.76 % (15327)Refutation not found, incomplete strategy% (15327)------------------------------
% 0.60/0.76 % (15327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (15327)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (15327)Memory used [KB]: 985
% 0.60/0.76 % (15327)Time elapsed: 0.004 s
% 0.60/0.76 % (15327)Instructions burned: 4 (million)
% 0.60/0.76 % (15327)------------------------------
% 0.60/0.76 % (15327)------------------------------
% 0.60/0.76 % (15318)Refutation not found, incomplete strategy% (15318)------------------------------
% 0.60/0.76 % (15318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (15318)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (15318)Memory used [KB]: 1198
% 0.60/0.76 % (15318)Time elapsed: 0.012 s
% 0.60/0.76 % (15318)Instructions burned: 21 (million)
% 0.60/0.76 % (15318)------------------------------
% 0.60/0.76 % (15318)------------------------------
% 0.60/0.76 % (15331)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)
% 0.60/0.77 % (15306)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15295"
% 0.60/0.77 % (15306)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (15306)------------------------------
% 0.60/0.77 % (15306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (15306)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (15306)Memory used [KB]: 1471
% 0.60/0.77 % (15306)Time elapsed: 0.017 s
% 0.60/0.77 % (15306)Instructions burned: 52 (million)
% 0.60/0.77 % (15295)Success in time 0.392 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------