TSTP Solution File: GRP281-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP281-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:10 EDT 2022
% Result : Unsatisfiable 1.60s 0.56s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 47
% Syntax : Number of formulae : 198 ( 4 unt; 0 def)
% Number of atoms : 806 ( 224 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1197 ( 589 ~; 593 |; 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f463,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f54,f68,f73,f78,f79,f84,f89,f90,f91,f93,f94,f95,f96,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f175,f247,f257,f317,f323,f399,f429,f439,f450,f462]) ).
fof(f462,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f460]) ).
fof(f460,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f458,f372]) ).
fof(f372,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f83,f368]) ).
fof(f368,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f48,f365]) ).
fof(f365,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f341,f88]) ).
fof(f88,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_11
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f340,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f340,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f326]) ).
fof(f326,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f83,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f458,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f455]) ).
fof(f455,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f454,f63]) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f454,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != multiply(X7,sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f453,f368]) ).
fof(f453,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f452,f357]) ).
fof(f357,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f39,f354]) ).
fof(f354,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f339,f83]) ).
fof(f339,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f325]) ).
fof(f325,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_6 ),
inference(superposition,[],[f2,f63]) ).
fof(f39,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f452,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f99,f368]) ).
fof(f99,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_12
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f450,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f448]) ).
fof(f448,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f446,f372]) ).
fof(f446,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f442]) ).
fof(f442,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f440,f63]) ).
fof(f440,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f102,f368]) ).
fof(f102,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f439,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f437]) ).
fof(f437,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f434,f372]) ).
fof(f434,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f432]) ).
fof(f432,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f430,f63]) ).
fof(f430,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c8) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f108,f368]) ).
fof(f108,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_15
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f429,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f427]) ).
fof(f427,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f420,f365]) ).
fof(f420,plain,
( sk_c8 != multiply(sk_c8,sk_c3)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f417,f88]) ).
fof(f417,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f415]) ).
fof(f415,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f400,f72]) ).
fof(f400,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f105,f368]) ).
fof(f105,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_14
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f399,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f396]) ).
fof(f396,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f378,f376]) ).
fof(f376,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f354,f368]) ).
fof(f378,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f360,f368]) ).
fof(f360,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_6
| spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f66,f357]) ).
fof(f66,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f323,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f321]) ).
fof(f321,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f320,f1]) ).
fof(f320,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f319,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(identity,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f318,f223]) ).
fof(f223,plain,
( sk_c8 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f43,f218]) ).
fof(f218,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f216,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f216,plain,
( ! [X8] : multiply(sk_c8,X8) = X8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f135,f213]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f212,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f3,f210]) ).
fof(f210,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f160,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f124,f191]) ).
fof(f191,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f190,f52]) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f190,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f163,f178]) ).
fof(f178,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f67,f170]) ).
fof(f170,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f166,f58]) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f166,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f132,f151]) ).
fof(f151,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f147,f137]) ).
fof(f137,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f134,f58]) ).
fof(f134,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = X10
| ~ spl0_9 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c7,multiply(sk_c5,X10))
| ~ spl0_9 ),
inference(superposition,[],[f3,f124]) ).
fof(f147,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f129,f141]) ).
fof(f141,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f135,f52]) ).
fof(f129,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(sk_c7,multiply(sk_c8,X9))
| ~ spl0_7 ),
inference(superposition,[],[f3,f67]) ).
fof(f132,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c6,X12)) = multiply(sk_c7,X12)
| ~ spl0_5 ),
inference(superposition,[],[f3,f58]) ).
fof(f67,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f163,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f158,f141]) ).
fof(f158,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f131,f67]) ).
fof(f131,plain,
( ! [X11] : multiply(sk_c8,X11) = multiply(sk_c4,multiply(sk_c7,X11))
| ~ spl0_4 ),
inference(superposition,[],[f3,f52]) ).
fof(f124,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f2,f77]) ).
fof(f77,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f160,plain,
( multiply(sk_c8,sk_c5) = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f131,f124]) ).
fof(f135,plain,
( ! [X8] : multiply(sk_c8,multiply(sk_c4,X8)) = X8
| ~ spl0_2 ),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f128,plain,
( ! [X8] : multiply(sk_c8,multiply(sk_c4,X8)) = multiply(identity,X8)
| ~ spl0_2 ),
inference(superposition,[],[f3,f123]) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f318,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f108,f191]) ).
fof(f317,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f311,f201]) ).
fof(f201,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f183,f191]) ).
fof(f183,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f39,f178]) ).
fof(f311,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f310,f1]) ).
fof(f310,plain,
( sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f309]) ).
fof(f309,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f258,f223]) ).
fof(f258,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f105,f191]) ).
fof(f257,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f254,f1]) ).
fof(f254,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f253]) ).
fof(f253,plain,
( sk_c8 != multiply(identity,sk_c8)
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f248,f223]) ).
fof(f248,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f102,f191]) ).
fof(f247,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f245]) ).
fof(f245,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f244,f1]) ).
fof(f244,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(identity,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f240,f223]) ).
fof(f240,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != multiply(X7,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f239,f191]) ).
fof(f239,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f238,f199]) ).
fof(f199,plain,
( sk_c8 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f178,f191]) ).
fof(f238,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f99,f191]) ).
fof(f175,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f173,f65,f50,f41,f37]) ).
fof(f173,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f135,f163]) ).
fof(f122,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f81,f50]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f121,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f29,f70,f65]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f120,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f61,f75]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f119,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f65,f46]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f118,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f75,f86]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f117,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f61,f56]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f116,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f13,f81,f56]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f115,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f12,f81,f75]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f114,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f24,f86,f65]) ).
fof(f24,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f113,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f28,f86,f56]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f112,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f32,f70,f75]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f111,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f50,f70]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f110,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f4,f65,f37]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f109,plain,
( ~ spl0_7
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f35,f37,f107,f104,f101,f98,f65]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X6) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X3)
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f96,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f56,f46]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f95,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f41,f86]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f94,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f61,f41]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f93,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f41,f81]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f91,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f50,f37]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f90,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f61,f50]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f89,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f50,f86]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f84,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f65,f81]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f79,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f56,f70]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f78,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f22,f75,f46]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f73,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f41,f70]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f68,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f65,f61]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f54,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f41,f46]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f50,f46]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f41,f37]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP281-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:24:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (24175)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.46 % (24188)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.47 % (24167)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (24175)Instruction limit reached!
% 0.19/0.47 % (24175)------------------------------
% 0.19/0.47 % (24175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (24175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (24175)Termination reason: Unknown
% 0.19/0.47 % (24175)Termination phase: Finite model building preprocessing
% 0.19/0.47
% 0.19/0.47 % (24175)Memory used [KB]: 1407
% 0.19/0.47 % (24175)Time elapsed: 0.005 s
% 0.19/0.47 % (24175)Instructions burned: 6 (million)
% 0.19/0.47 % (24175)------------------------------
% 0.19/0.47 % (24175)------------------------------
% 0.19/0.47 % (24188)Refutation not found, incomplete strategy% (24188)------------------------------
% 0.19/0.47 % (24188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (24188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (24188)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (24188)Memory used [KB]: 5884
% 0.19/0.48 % (24188)Time elapsed: 0.092 s
% 0.19/0.48 % (24188)Instructions burned: 4 (million)
% 0.19/0.48 % (24188)------------------------------
% 0.19/0.48 % (24188)------------------------------
% 0.19/0.49 % (24164)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.49 % (24176)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (24176)Instruction limit reached!
% 0.19/0.50 % (24176)------------------------------
% 0.19/0.50 % (24176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24176)Termination reason: Unknown
% 0.19/0.50 % (24176)Termination phase: Equality proxy
% 0.19/0.50
% 0.19/0.50 % (24176)Memory used [KB]: 1279
% 0.19/0.50 % (24176)Time elapsed: 0.005 s
% 0.19/0.50 % (24176)Instructions burned: 2 (million)
% 0.19/0.50 % (24176)------------------------------
% 0.19/0.50 % (24176)------------------------------
% 0.19/0.50 % (24172)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (24163)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50 % (24160)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (24174)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51 % (24180)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (24166)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (24180)Instruction limit reached!
% 0.19/0.51 % (24180)------------------------------
% 0.19/0.51 % (24180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24180)Termination reason: Unknown
% 0.19/0.51 % (24180)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (24180)Memory used [KB]: 1407
% 0.19/0.51 % (24180)Time elapsed: 0.121 s
% 0.19/0.51 % (24180)Instructions burned: 7 (million)
% 0.19/0.51 % (24180)------------------------------
% 0.19/0.51 % (24180)------------------------------
% 0.19/0.51 % (24168)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (24162)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (24162)Instruction limit reached!
% 0.19/0.51 % (24162)------------------------------
% 0.19/0.51 % (24162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24162)Termination reason: Unknown
% 0.19/0.51 % (24162)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (24162)Memory used [KB]: 5884
% 0.19/0.51 % (24162)Time elapsed: 0.113 s
% 0.19/0.51 % (24162)Instructions burned: 5 (million)
% 0.19/0.51 % (24162)------------------------------
% 0.19/0.51 % (24162)------------------------------
% 0.19/0.52 % (24182)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52 % (24183)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (24184)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52 % (24187)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.52 % (24185)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.52 % (24171)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (24161)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (24186)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.52 % (24183)Refutation not found, incomplete strategy% (24183)------------------------------
% 0.19/0.52 % (24183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24183)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (24183)Memory used [KB]: 5884
% 0.19/0.52 % (24183)Time elapsed: 0.109 s
% 0.19/0.52 % (24183)Instructions burned: 4 (million)
% 0.19/0.53 % (24183)------------------------------
% 0.19/0.53 % (24183)------------------------------
% 0.19/0.53 % (24186)Refutation not found, incomplete strategy% (24186)------------------------------
% 0.19/0.53 % (24186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24186)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (24186)Memory used [KB]: 5884
% 0.19/0.53 % (24186)Time elapsed: 0.127 s
% 0.19/0.53 % (24186)Instructions burned: 4 (million)
% 0.19/0.53 % (24186)------------------------------
% 0.19/0.53 % (24186)------------------------------
% 0.19/0.53 % (24172)Instruction limit reached!
% 0.19/0.53 % (24172)------------------------------
% 0.19/0.53 % (24172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24172)Termination reason: Unknown
% 0.19/0.53 % (24172)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24172)Memory used [KB]: 5884
% 0.19/0.53 % (24172)Time elapsed: 0.132 s
% 0.19/0.53 % (24172)Instructions burned: 5 (million)
% 0.19/0.53 % (24172)------------------------------
% 0.19/0.53 % (24172)------------------------------
% 0.19/0.53 % (24173)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (24173)Instruction limit reached!
% 0.19/0.53 % (24173)------------------------------
% 0.19/0.53 % (24173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24173)Termination reason: Unknown
% 0.19/0.53 % (24173)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24173)Memory used [KB]: 5884
% 0.19/0.53 % (24173)Time elapsed: 0.003 s
% 0.19/0.53 % (24173)Instructions burned: 5 (million)
% 0.19/0.53 % (24173)------------------------------
% 0.19/0.53 % (24173)------------------------------
% 0.19/0.53 % (24177)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (24169)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24165)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (24170)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (24168)Instruction limit reached!
% 0.19/0.53 % (24168)------------------------------
% 0.19/0.53 % (24168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24168)Termination reason: Unknown
% 0.19/0.53 % (24168)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24168)Memory used [KB]: 5884
% 0.19/0.53 % (24168)Time elapsed: 0.002 s
% 0.19/0.53 % (24168)Instructions burned: 3 (million)
% 0.19/0.53 % (24168)------------------------------
% 0.19/0.53 % (24168)------------------------------
% 0.19/0.53 % (24177)Instruction limit reached!
% 0.19/0.53 % (24177)------------------------------
% 0.19/0.53 % (24177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24177)Termination reason: Unknown
% 0.19/0.53 % (24177)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24177)Memory used [KB]: 6012
% 0.19/0.53 % (24177)Time elapsed: 0.135 s
% 0.19/0.53 % (24177)Instructions burned: 8 (million)
% 0.19/0.53 % (24177)------------------------------
% 0.19/0.53 % (24177)------------------------------
% 0.19/0.53 % (24167)Instruction limit reached!
% 0.19/0.53 % (24167)------------------------------
% 0.19/0.53 % (24167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24167)Termination reason: Unknown
% 0.19/0.53 % (24167)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24167)Memory used [KB]: 7164
% 0.19/0.53 % (24167)Time elapsed: 0.128 s
% 0.19/0.53 % (24167)Instructions burned: 52 (million)
% 0.19/0.53 % (24167)------------------------------
% 0.19/0.53 % (24167)------------------------------
% 0.19/0.54 % (24164)Instruction limit reached!
% 0.19/0.54 % (24164)------------------------------
% 0.19/0.54 % (24164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24170)Instruction limit reached!
% 0.19/0.54 % (24170)------------------------------
% 0.19/0.54 % (24170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24170)Termination reason: Unknown
% 0.19/0.54 % (24164)Termination reason: Unknown
% 0.19/0.54 % (24170)Termination phase: Saturation
% 0.19/0.54 % (24164)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 % (24170)Memory used [KB]: 6012
% 0.19/0.54 % (24164)Memory used [KB]: 6652
% 0.19/0.54 % (24170)Time elapsed: 0.140 s
% 0.19/0.54 % (24164)Time elapsed: 0.110 s
% 0.19/0.54 % (24170)Instructions burned: 7 (million)
% 0.19/0.54 % (24164)Instructions burned: 34 (million)
% 0.19/0.54 % (24170)------------------------------
% 0.19/0.54 % (24170)------------------------------
% 0.19/0.54 % (24164)------------------------------
% 0.19/0.54 % (24164)------------------------------
% 0.19/0.54 % (24189)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (24179)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (24174)Instruction limit reached!
% 0.19/0.54 % (24174)------------------------------
% 0.19/0.54 % (24174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24178)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.60/0.55 % (24181)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.60/0.55 % (24174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (24174)Termination reason: Unknown
% 1.60/0.55 % (24174)Termination phase: Saturation
% 1.60/0.55
% 1.60/0.55 % (24174)Memory used [KB]: 1663
% 1.60/0.55 % (24174)Time elapsed: 0.100 s
% 1.60/0.55 % (24174)Instructions burned: 29 (million)
% 1.60/0.55 % (24174)------------------------------
% 1.60/0.55 % (24174)------------------------------
% 1.60/0.55 % (24181)Refutation not found, incomplete strategy% (24181)------------------------------
% 1.60/0.55 % (24181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (24181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (24181)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.55
% 1.60/0.55 % (24181)Memory used [KB]: 5884
% 1.60/0.55 % (24181)Time elapsed: 0.150 s
% 1.60/0.55 % (24181)Instructions burned: 4 (million)
% 1.60/0.55 % (24181)------------------------------
% 1.60/0.55 % (24181)------------------------------
% 1.60/0.55 % (24171)Instruction limit reached!
% 1.60/0.55 % (24171)------------------------------
% 1.60/0.55 % (24171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (24171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (24171)Termination reason: Unknown
% 1.60/0.55 % (24171)Termination phase: Saturation
% 1.60/0.55
% 1.60/0.55 % (24171)Memory used [KB]: 6268
% 1.60/0.55 % (24171)Time elapsed: 0.160 s
% 1.60/0.55 % (24171)Instructions burned: 23 (million)
% 1.60/0.55 % (24171)------------------------------
% 1.60/0.55 % (24171)------------------------------
% 1.60/0.56 % (24165)First to succeed.
% 1.60/0.56 % (24165)Refutation found. Thanks to Tanya!
% 1.60/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.60/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.56 % (24165)------------------------------
% 1.60/0.56 % (24165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (24165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (24165)Termination reason: Refutation
% 1.60/0.56
% 1.60/0.56 % (24165)Memory used [KB]: 6012
% 1.60/0.56 % (24165)Time elapsed: 0.145 s
% 1.60/0.56 % (24165)Instructions burned: 16 (million)
% 1.60/0.56 % (24165)------------------------------
% 1.60/0.56 % (24165)------------------------------
% 1.60/0.56 % (24159)Success in time 0.201 s
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