TSTP Solution File: GRP303-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP303-1 : 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_sat --cores 0 -t %d %s
% Computer : n009.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 16:21:13 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 44
% Syntax : Number of formulae : 204 ( 9 unt; 0 def)
% Number of atoms : 635 ( 227 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 854 ( 423 ~; 406 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f839,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f48,f57,f65,f70,f71,f87,f92,f93,f104,f109,f110,f111,f112,f113,f115,f118,f119,f120,f128,f165,f218,f222,f254,f283,f299,f360,f407,f419,f431,f495,f549,f568,f607,f665,f694,f808,f838]) ).
fof(f838,plain,
( ~ spl3_1
| ~ spl3_21
| ~ spl3_23
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f837,plain,
( $false
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f836]) ).
fof(f836,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23
| ~ spl3_24 ),
inference(superposition,[],[f835,f735]) ).
fof(f735,plain,
( identity = inverse(identity)
| ~ spl3_23
| ~ spl3_24 ),
inference(backward_demodulation,[],[f163,f153]) ).
fof(f153,plain,
( identity = sk_c7
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl3_23
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f163,plain,
( sk_c7 = inverse(identity)
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl3_24
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f835,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23
| ~ spl3_24 ),
inference(forward_demodulation,[],[f833,f735]) ).
fof(f833,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f830]) ).
fof(f830,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23 ),
inference(superposition,[],[f744,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f744,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f742,f153]) ).
fof(f742,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl3_1
| ~ spl3_21
| ~ spl3_23 ),
inference(backward_demodulation,[],[f729,f153]) ).
fof(f729,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f34,f144]) ).
fof(f144,plain,
( sk_c7 = sk_c6
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl3_21
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f34,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_1
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f808,plain,
( ~ spl3_6
| spl3_9
| ~ spl3_21
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl3_6
| spl3_9
| ~ spl3_21
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f806]) ).
fof(f806,plain,
( identity != identity
| ~ spl3_6
| spl3_9
| ~ spl3_21
| ~ spl3_23 ),
inference(superposition,[],[f781,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f781,plain,
( identity != multiply(identity,identity)
| ~ spl3_6
| spl3_9
| ~ spl3_21
| ~ spl3_23 ),
inference(backward_demodulation,[],[f778,f780]) ).
fof(f780,plain,
( identity = sk_c3
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f779,f2]) ).
fof(f779,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f388,f153]) ).
fof(f388,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_6 ),
inference(superposition,[],[f189,f328]) ).
fof(f328,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl3_6 ),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f189,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f177,f1]) ).
fof(f177,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f778,plain,
( identity != multiply(sk_c3,identity)
| spl3_9
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f730,f153]) ).
fof(f730,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f68,f144]) ).
fof(f68,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| spl3_9 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl3_9
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f694,plain,
( spl3_23
| ~ spl3_12
| ~ spl3_18
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f693,f143,f130,f81,f152]) ).
fof(f81,plain,
( spl3_12
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f130,plain,
( spl3_18
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f693,plain,
( identity = sk_c7
| ~ spl3_12
| ~ spl3_18
| ~ spl3_21 ),
inference(forward_demodulation,[],[f692,f2]) ).
fof(f692,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_12
| ~ spl3_18
| ~ spl3_21 ),
inference(forward_demodulation,[],[f555,f144]) ).
fof(f555,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c7)
| ~ spl3_12
| ~ spl3_18 ),
inference(backward_demodulation,[],[f446,f131]) ).
fof(f131,plain,
( sk_c7 = sk_c5
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f446,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_12 ),
inference(superposition,[],[f189,f82]) ).
fof(f82,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f665,plain,
( ~ spl3_23
| ~ spl3_6
| ~ spl3_23
| spl3_24 ),
inference(avatar_split_clause,[],[f664,f162,f152,f54,f152]) ).
fof(f664,plain,
( identity != sk_c7
| ~ spl3_6
| ~ spl3_23
| spl3_24 ),
inference(forward_demodulation,[],[f164,f619]) ).
fof(f619,plain,
( identity = inverse(identity)
| ~ spl3_6
| ~ spl3_23 ),
inference(backward_demodulation,[],[f608,f617]) ).
fof(f617,plain,
( identity = sk_c3
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f613,f2]) ).
fof(f613,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_6
| ~ spl3_23 ),
inference(backward_demodulation,[],[f388,f153]) ).
fof(f608,plain,
( identity = inverse(sk_c3)
| ~ spl3_6
| ~ spl3_23 ),
inference(backward_demodulation,[],[f56,f153]) ).
fof(f164,plain,
( sk_c7 != inverse(identity)
| spl3_24 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f607,plain,
( ~ spl3_23
| spl3_11
| ~ spl3_18
| ~ spl3_24
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f606,f457,f162,f130,f77,f152]) ).
fof(f77,plain,
( spl3_11
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f457,plain,
( spl3_27
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f606,plain,
( identity != sk_c7
| spl3_11
| ~ spl3_18
| ~ spl3_24
| ~ spl3_27 ),
inference(forward_demodulation,[],[f605,f560]) ).
fof(f560,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_24 ),
inference(backward_demodulation,[],[f204,f163]) ).
fof(f204,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f189,f1]) ).
fof(f605,plain,
( sk_c7 != multiply(sk_c7,identity)
| spl3_11
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f604,f458]) ).
fof(f458,plain,
( identity = sk_c6
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f604,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f79,f131]) ).
fof(f79,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl3_11 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f568,plain,
( spl3_21
| ~ spl3_6
| ~ spl3_9
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f567,f162,f67,f54,f143]) ).
fof(f567,plain,
( sk_c7 = sk_c6
| ~ spl3_6
| ~ spl3_9
| ~ spl3_24 ),
inference(backward_demodulation,[],[f443,f560]) ).
fof(f443,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f441,f56]) ).
fof(f441,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_9 ),
inference(superposition,[],[f189,f69]) ).
fof(f69,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f549,plain,
( spl3_21
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f548,f99,f81,f45,f143]) ).
fof(f45,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f99,plain,
( spl3_16
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f548,plain,
( sk_c7 = sk_c6
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f541,f446]) ).
fof(f541,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_4
| ~ spl3_16 ),
inference(superposition,[],[f189,f440]) ).
fof(f440,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f438,f101]) ).
fof(f101,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f438,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_4 ),
inference(superposition,[],[f189,f47]) ).
fof(f47,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f495,plain,
( spl3_27
| ~ spl3_6
| ~ spl3_9
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f494,f152,f67,f54,f457]) ).
fof(f494,plain,
( identity = sk_c6
| ~ spl3_6
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f483,f1]) ).
fof(f483,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl3_6
| ~ spl3_9
| ~ spl3_23 ),
inference(backward_demodulation,[],[f443,f153]) ).
fof(f431,plain,
( spl3_18
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f430,f143,f81,f67,f54,f130]) ).
fof(f430,plain,
( sk_c7 = sk_c5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_21 ),
inference(backward_demodulation,[],[f322,f348]) ).
fof(f348,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_6
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f344,f56]) ).
fof(f344,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_9
| ~ spl3_21 ),
inference(superposition,[],[f189,f325]) ).
fof(f325,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f69,f144]) ).
fof(f322,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f82,f144]) ).
fof(f419,plain,
( ~ spl3_6
| ~ spl3_1
| ~ spl3_9
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f416,f143,f67,f33,f54]) ).
fof(f416,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,plain,
( sk_c7 != inverse(sk_c3)
| sk_c7 != sk_c7
| ~ spl3_1
| ~ spl3_9
| ~ spl3_21 ),
inference(superposition,[],[f408,f325]) ).
fof(f408,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f34,f144]) ).
fof(f407,plain,
( ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f403,f143,f67,f63,f54]) ).
fof(f63,plain,
( spl3_8
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f403,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl3_8
| ~ spl3_9
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f397]) ).
fof(f397,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl3_8
| ~ spl3_9
| ~ spl3_21 ),
inference(superposition,[],[f386,f325]) ).
fof(f386,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f385,f144]) ).
fof(f385,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c6 != inverse(X4) )
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f64,f144]) ).
fof(f64,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f360,plain,
( ~ spl3_24
| ~ spl3_17
| ~ spl3_18
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f355,f143,f130,f107,f162]) ).
fof(f107,plain,
( spl3_17
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f355,plain,
( sk_c7 != inverse(identity)
| ~ spl3_17
| ~ spl3_18
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c7
| ~ spl3_17
| ~ spl3_18
| ~ spl3_21 ),
inference(superposition,[],[f320,f1]) ).
fof(f320,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_17
| ~ spl3_18
| ~ spl3_21 ),
inference(forward_demodulation,[],[f319,f144]) ).
fof(f319,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_17
| ~ spl3_18
| ~ spl3_21 ),
inference(backward_demodulation,[],[f312,f144]) ).
fof(f312,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f108,f131]) ).
fof(f108,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f299,plain,
( ~ spl3_14
| ~ spl3_23
| spl3_24 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl3_14
| ~ spl3_23
| spl3_24 ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( identity != identity
| ~ spl3_14
| ~ spl3_23
| spl3_24 ),
inference(superposition,[],[f259,f276]) ).
fof(f276,plain,
( identity = inverse(identity)
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f255,f274]) ).
fof(f274,plain,
( identity = sk_c1
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f261,f2]) ).
fof(f261,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f213,f153]) ).
fof(f213,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_14 ),
inference(superposition,[],[f189,f122]) ).
fof(f122,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_14 ),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_14
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f255,plain,
( identity = inverse(sk_c1)
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f91,f153]) ).
fof(f259,plain,
( identity != inverse(identity)
| ~ spl3_23
| spl3_24 ),
inference(backward_demodulation,[],[f164,f153]) ).
fof(f283,plain,
( ~ spl3_23
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12
| spl3_18
| ~ spl3_21
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f282,f152,f143,f130,f81,f50,f41,f152]) ).
fof(f41,plain,
( spl3_3
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f50,plain,
( spl3_5
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f282,plain,
( identity != sk_c7
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12
| spl3_18
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f198,f258]) ).
fof(f258,plain,
( identity = sk_c6
| ~ spl3_21
| ~ spl3_23 ),
inference(backward_demodulation,[],[f144,f153]) ).
fof(f198,plain,
( sk_c7 != sk_c6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12
| spl3_18 ),
inference(superposition,[],[f132,f194]) ).
fof(f194,plain,
( sk_c6 = sk_c5
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(backward_demodulation,[],[f82,f191]) ).
fof(f191,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_3
| ~ spl3_5 ),
inference(superposition,[],[f186,f43]) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f186,plain,
( ! [X13] : multiply(sk_c6,multiply(sk_c2,X13)) = X13
| ~ spl3_5 ),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c6,multiply(sk_c2,X13))
| ~ spl3_5 ),
inference(superposition,[],[f3,f121]) ).
fof(f121,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl3_5 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f132,plain,
( sk_c7 != sk_c5
| spl3_18 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f254,plain,
( ~ spl3_14
| ~ spl3_3
| ~ spl3_5
| ~ spl3_13
| ~ spl3_14
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f247,f143,f89,f85,f50,f41,f89]) ).
fof(f85,plain,
( spl3_13
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f247,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_13
| ~ spl3_14
| ~ spl3_21 ),
inference(backward_demodulation,[],[f160,f246]) ).
fof(f246,plain,
( sk_c1 = sk_c2
| ~ spl3_5
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f241,f213]) ).
fof(f241,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_5
| ~ spl3_21 ),
inference(backward_demodulation,[],[f214,f144]) ).
fof(f214,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl3_5 ),
inference(superposition,[],[f189,f121]) ).
fof(f160,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl3_3
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f156,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl3_3
| ~ spl3_13 ),
inference(superposition,[],[f86,f43]) ).
fof(f86,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f222,plain,
( spl3_23
| ~ spl3_3
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f221,f50,f41,f152]) ).
fof(f221,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_5 ),
inference(forward_demodulation,[],[f210,f2]) ).
fof(f210,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_3
| ~ spl3_5 ),
inference(superposition,[],[f189,f191]) ).
fof(f218,plain,
( spl3_21
| ~ spl3_3
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f217,f95,f89,f81,f77,f50,f41,f143]) ).
fof(f95,plain,
( spl3_15
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f217,plain,
( sk_c7 = sk_c6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f197,f216]) ).
fof(f216,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f209,f91]) ).
fof(f209,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_15 ),
inference(superposition,[],[f189,f97]) ).
fof(f97,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f197,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f78,f194]) ).
fof(f78,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f165,plain,
( ~ spl3_21
| ~ spl3_24
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f158,f85,f162,f143]) ).
fof(f158,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl3_13 ),
inference(superposition,[],[f86,f1]) ).
fof(f128,plain,
( ~ spl3_5
| ~ spl3_3
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f127,f63,f41,f50]) ).
fof(f127,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl3_3
| ~ spl3_8 ),
inference(trivial_inequality_removal,[],[f123]) ).
fof(f123,plain,
( sk_c6 != inverse(sk_c2)
| sk_c7 != sk_c7
| ~ spl3_3
| ~ spl3_8 ),
inference(superposition,[],[f64,f43]) ).
fof(f120,plain,
( spl3_6
| spl3_15 ),
inference(avatar_split_clause,[],[f9,f95,f54]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f119,plain,
( spl3_9
| spl3_3 ),
inference(avatar_split_clause,[],[f18,f41,f67]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f118,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f17,f54,f41]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f115,plain,
( spl3_6
| spl3_11 ),
inference(avatar_split_clause,[],[f4,f77,f54]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f113,plain,
( spl3_16
| spl3_3 ),
inference(avatar_split_clause,[],[f19,f41,f99]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f112,plain,
( spl3_9
| spl3_15 ),
inference(avatar_split_clause,[],[f10,f95,f67]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f111,plain,
( spl3_14
| spl3_6 ),
inference(avatar_split_clause,[],[f13,f54,f89]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f110,plain,
spl3_12,
inference(avatar_split_clause,[],[f8,f81]) ).
fof(f8,axiom,
sk_c5 = multiply(sk_c6,sk_c7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f109,plain,
( spl3_17
| spl3_10 ),
inference(avatar_split_clause,[],[f28,f73,f107]) ).
fof(f73,plain,
( spl3_10
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f28,plain,
! [X6] :
( sP1
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f104,plain,
( spl3_5
| spl3_16 ),
inference(avatar_split_clause,[],[f23,f99,f50]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f93,plain,
( spl3_9
| spl3_11 ),
inference(avatar_split_clause,[],[f5,f77,f67]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f92,plain,
( spl3_9
| spl3_14 ),
inference(avatar_split_clause,[],[f14,f89,f67]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f87,plain,
( ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| spl3_13
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f31,f59,f85,f81,f77,f73,f36]) ).
fof(f36,plain,
( spl3_2
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f59,plain,
( spl3_7
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f31,plain,
! [X5] :
( ~ sP2
| sk_c7 != inverse(X5)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| ~ sP1
| ~ sP0
| sk_c7 != multiply(X5,sk_c6) ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X4] :
( sk_c6 != inverse(X4)
| sP2
| sk_c7 != multiply(X4,sk_c6) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f29,plain,
! [X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X4)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f27,f28_D]) ).
fof(f27,plain,
! [X6,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| ~ sP0 ),
inference(general_splitting,[],[f25,f26_D]) ).
fof(f26,plain,
! [X3] :
( sP0
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f71,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f24,f45,f50]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f70,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f22,f50,f67]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f65,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f30,f63,f59]) ).
fof(f57,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f21,f54,f50]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f48,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f20,f45,f41]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f39,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f26,f36,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP303-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.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 22:23:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (23935)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48 % (23933)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (23933)Instruction limit reached!
% 0.19/0.50 % (23933)------------------------------
% 0.19/0.50 % (23933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23933)Termination reason: Unknown
% 0.19/0.50 % (23933)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (23933)Memory used [KB]: 5373
% 0.19/0.50 % (23933)Time elapsed: 0.004 s
% 0.19/0.50 % (23933)Instructions burned: 2 (million)
% 0.19/0.50 % (23933)------------------------------
% 0.19/0.50 % (23933)------------------------------
% 0.19/0.50 % (23941)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (23926)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (23951)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (23934)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (23939)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (23943)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (23936)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (23947)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (23929)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (23949)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (23927)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (23930)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (23938)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (23935)First to succeed.
% 0.19/0.53 % (23937)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (23932)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (23931)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (23941)Also succeeded, but the first one will report.
% 0.19/0.53 % (23932)Instruction limit reached!
% 0.19/0.53 % (23932)------------------------------
% 0.19/0.53 % (23932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23932)Termination reason: Unknown
% 0.19/0.53 % (23932)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (23932)Memory used [KB]: 5500
% 0.19/0.53 % (23932)Time elapsed: 0.127 s
% 0.19/0.53 % (23932)Instructions burned: 7 (million)
% 0.19/0.53 % (23932)------------------------------
% 0.19/0.53 % (23932)------------------------------
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (23935)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (23935)------------------------------
% 1.43/0.54 % (23935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (23935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (23935)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (23935)Memory used [KB]: 5756
% 1.43/0.54 % (23935)Time elapsed: 0.140 s
% 1.43/0.54 % (23935)Instructions burned: 25 (million)
% 1.43/0.54 % (23935)------------------------------
% 1.43/0.54 % (23935)------------------------------
% 1.43/0.54 % (23924)Success in time 0.186 s
%------------------------------------------------------------------------------