TSTP Solution File: GRP315-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP315-1 : 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 : n015.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 16:15:19 EDT 2022
% Result : Unsatisfiable 1.72s 0.58s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 50
% Syntax : Number of formulae : 270 ( 29 unt; 0 def)
% Number of atoms : 771 ( 299 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 966 ( 465 ~; 481 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1034,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f67,f76,f77,f78,f83,f84,f89,f90,f91,f92,f93,f94,f95,f96,f97,f111,f132,f146,f213,f245,f270,f330,f357,f402,f431,f481,f494,f519,f537,f651,f669,f689,f718,f775,f816,f920,f973,f1031]) ).
fof(f1031,plain,
( ~ spl9_5
| ~ spl9_8
| ~ spl9_16
| spl9_22 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1030,plain,
( $false
| ~ spl9_5
| ~ spl9_8
| ~ spl9_16
| spl9_22 ),
inference(subsumption_resolution,[],[f1029,f664]) ).
fof(f664,plain,
( identity != sk_c5
| spl9_22 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f662,plain,
( spl9_22
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).
fof(f1029,plain,
( identity = sk_c5
| ~ spl9_5
| ~ spl9_8
| ~ spl9_16 ),
inference(forward_demodulation,[],[f1028,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1028,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl9_5
| ~ spl9_8
| ~ spl9_16 ),
inference(forward_demodulation,[],[f1027,f819]) ).
fof(f819,plain,
( identity = sF5
| ~ spl9_5
| ~ spl9_16 ),
inference(forward_demodulation,[],[f71,f139]) ).
fof(f139,plain,
( identity = sk_c6
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl9_16
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f71,plain,
( sk_c6 = sF5
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl9_5
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f1027,plain,
( sk_c5 = multiply(sF5,identity)
| ~ spl9_8
| ~ spl9_16 ),
inference(forward_demodulation,[],[f643,f795]) ).
fof(f795,plain,
( identity = sF3
| ~ spl9_8
| ~ spl9_16 ),
inference(backward_demodulation,[],[f88,f139]) ).
fof(f88,plain,
( sk_c6 = sF3
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl9_8
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f643,plain,
sk_c5 = multiply(sF5,sF3),
inference(forward_demodulation,[],[f641,f30]) ).
fof(f30,plain,
inverse(sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f641,plain,
sk_c5 = multiply(inverse(sk_c4),sF3),
inference(superposition,[],[f172,f27]) ).
fof(f27,plain,
multiply(sk_c4,sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f172,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f158,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f973,plain,
( ~ spl9_11
| ~ spl9_14
| ~ spl9_16
| ~ spl9_22
| ~ spl9_24 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f972,plain,
( $false
| ~ spl9_11
| ~ spl9_14
| ~ spl9_16
| ~ spl9_22
| ~ spl9_24 ),
inference(subsumption_resolution,[],[f971,f894]) ).
fof(f894,plain,
( identity = inverse(identity)
| ~ spl9_14
| ~ spl9_24 ),
inference(backward_demodulation,[],[f130,f682]) ).
fof(f682,plain,
( identity = sk_c7
| ~ spl9_24 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f681,plain,
( spl9_24
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).
fof(f130,plain,
( sk_c7 = inverse(identity)
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl9_14
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f971,plain,
( identity != inverse(identity)
| ~ spl9_11
| ~ spl9_14
| ~ spl9_16
| ~ spl9_22
| ~ spl9_24 ),
inference(forward_demodulation,[],[f965,f894]) ).
fof(f965,plain,
( identity != inverse(inverse(identity))
| ~ spl9_11
| ~ spl9_16
| ~ spl9_22 ),
inference(trivial_inequality_removal,[],[f962]) ).
fof(f962,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl9_11
| ~ spl9_16
| ~ spl9_22 ),
inference(superposition,[],[f943,f2]) ).
fof(f943,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl9_11
| ~ spl9_16
| ~ spl9_22 ),
inference(forward_demodulation,[],[f942,f139]) ).
fof(f942,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl9_11
| ~ spl9_16
| ~ spl9_22 ),
inference(forward_demodulation,[],[f941,f139]) ).
fof(f941,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl9_11
| ~ spl9_22 ),
inference(forward_demodulation,[],[f107,f663]) ).
fof(f663,plain,
( identity = sk_c5
| ~ spl9_22 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f107,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl9_11
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f920,plain,
( ~ spl9_14
| ~ spl9_16
| spl9_23
| ~ spl9_24 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f919,plain,
( $false
| ~ spl9_14
| ~ spl9_16
| spl9_23
| ~ spl9_24 ),
inference(subsumption_resolution,[],[f918,f894]) ).
fof(f918,plain,
( identity != inverse(identity)
| ~ spl9_14
| ~ spl9_16
| spl9_23
| ~ spl9_24 ),
inference(forward_demodulation,[],[f917,f894]) ).
fof(f917,plain,
( identity != inverse(inverse(identity))
| ~ spl9_16
| spl9_23 ),
inference(forward_demodulation,[],[f668,f139]) ).
fof(f668,plain,
( sk_c6 != inverse(inverse(sk_c6))
| spl9_23 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl9_23
<=> sk_c6 = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_23])]) ).
fof(f816,plain,
( spl9_24
| ~ spl9_16
| ~ spl9_22 ),
inference(avatar_split_clause,[],[f815,f662,f138,f681]) ).
fof(f815,plain,
( identity = sk_c7
| ~ spl9_16
| ~ spl9_22 ),
inference(forward_demodulation,[],[f800,f2]) ).
fof(f800,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl9_16
| ~ spl9_22 ),
inference(backward_demodulation,[],[f726,f139]) ).
fof(f726,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl9_22 ),
inference(backward_demodulation,[],[f187,f663]) ).
fof(f187,plain,
sk_c7 = multiply(inverse(sk_c6),sk_c5),
inference(superposition,[],[f172,f58]) ).
fof(f58,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(forward_demodulation,[],[f22,f46]) ).
fof(f46,plain,
sk_c5 = sF0,
inference(definition_folding,[],[f4,f22]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f22,plain,
multiply(sk_c6,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f775,plain,
( ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| spl9_16
| ~ spl9_22 ),
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f774,plain,
( $false
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| spl9_16
| ~ spl9_22 ),
inference(subsumption_resolution,[],[f769,f140]) ).
fof(f140,plain,
( identity != sk_c6
| spl9_16 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f769,plain,
( identity = sk_c6
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f728,f766]) ).
fof(f766,plain,
( ! [X11] : multiply(sk_c6,X11) = X11
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_22 ),
inference(forward_demodulation,[],[f757,f738]) ).
fof(f738,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c7,X8)) = X8
| ~ spl9_22 ),
inference(forward_demodulation,[],[f725,f1]) ).
fof(f725,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c6,multiply(sk_c7,X8))
| ~ spl9_22 ),
inference(backward_demodulation,[],[f159,f663]) ).
fof(f159,plain,
! [X8] : multiply(sk_c6,multiply(sk_c7,X8)) = multiply(sk_c5,X8),
inference(superposition,[],[f3,f58]) ).
fof(f757,plain,
( ! [X11] : multiply(sk_c6,X11) = multiply(sk_c6,multiply(sk_c7,X11))
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f612,f754]) ).
fof(f754,plain,
( sk_c6 = sk_c1
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f746,f728]) ).
fof(f746,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl9_1
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f523,f742]) ).
fof(f742,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f277,f739]) ).
fof(f739,plain,
( sk_c7 = sk_c2
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f273,f726]) ).
fof(f273,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f196,f82]) ).
fof(f82,plain,
( sk_c6 = sF7
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl9_7
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f196,plain,
sk_c2 = multiply(inverse(sF7),identity),
inference(superposition,[],[f172,f119]) ).
fof(f119,plain,
identity = multiply(sF7,sk_c2),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
inverse(sk_c2) = sF7,
introduced(function_definition,[]) ).
fof(f277,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f35,f82]) ).
fof(f523,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl9_1 ),
inference(forward_demodulation,[],[f195,f52]) ).
fof(f52,plain,
( sk_c7 = sF6
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl9_1
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f195,plain,
sk_c1 = multiply(inverse(sF6),identity),
inference(superposition,[],[f172,f116]) ).
fof(f116,plain,
identity = multiply(sF6,sk_c1),
inference(superposition,[],[f2,f32]) ).
fof(f32,plain,
inverse(sk_c1) = sF6,
introduced(function_definition,[]) ).
fof(f612,plain,
( ! [X11] : multiply(sk_c6,X11) = multiply(sk_c1,multiply(sk_c7,X11))
| ~ spl9_3 ),
inference(backward_demodulation,[],[f162,f62]) ).
fof(f62,plain,
( sk_c6 = sF2
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl9_3
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f162,plain,
! [X11] : multiply(sF2,X11) = multiply(sk_c1,multiply(sk_c7,X11)),
inference(superposition,[],[f3,f25]) ).
fof(f25,plain,
multiply(sk_c1,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f728,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_22 ),
inference(backward_demodulation,[],[f613,f663]) ).
fof(f613,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl9_6
| ~ spl9_7 ),
inference(backward_demodulation,[],[f274,f75]) ).
fof(f75,plain,
( sk_c5 = sF4
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl9_6
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f274,plain,
( sk_c6 = multiply(sk_c6,sF4)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f200,f82]) ).
fof(f200,plain,
sk_c6 = multiply(sF7,sF4),
inference(forward_demodulation,[],[f194,f35]) ).
fof(f194,plain,
sk_c6 = multiply(inverse(sk_c2),sF4),
inference(superposition,[],[f172,f28]) ).
fof(f28,plain,
multiply(sk_c2,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f718,plain,
( spl9_22
| ~ spl9_6
| ~ spl9_7 ),
inference(avatar_split_clause,[],[f717,f80,f73,f662]) ).
fof(f717,plain,
( identity = sk_c5
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f714,f2]) ).
fof(f714,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl9_6
| ~ spl9_7 ),
inference(superposition,[],[f172,f613]) ).
fof(f689,plain,
( ~ spl9_14
| ~ spl9_13
| ~ spl9_12 ),
inference(avatar_split_clause,[],[f670,f109,f125,f129]) ).
fof(f125,plain,
( spl9_13
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f109,plain,
( spl9_12
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f670,plain,
( sk_c6 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl9_12 ),
inference(superposition,[],[f110,f1]) ).
fof(f110,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f669,plain,
( ~ spl9_22
| ~ spl9_23
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f646,f103,f666,f662]) ).
fof(f103,plain,
( spl9_10
<=> ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f646,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != sk_c5
| ~ spl9_10 ),
inference(superposition,[],[f104,f2]) ).
fof(f104,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f651,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_10 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| ~ spl9_10 ),
inference(subsumption_resolution,[],[f649,f277]) ).
fof(f649,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl9_6
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f648]) ).
fof(f648,plain,
( sk_c6 != inverse(sk_c2)
| sk_c5 != sk_c5
| ~ spl9_6
| ~ spl9_10 ),
inference(superposition,[],[f104,f621]) ).
fof(f621,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl9_6 ),
inference(forward_demodulation,[],[f28,f75]) ).
fof(f537,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_16
| spl9_19 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| ~ spl9_16
| spl9_19 ),
inference(subsumption_resolution,[],[f535,f516]) ).
fof(f516,plain,
( identity != sk_c5
| ~ spl9_16
| spl9_19 ),
inference(forward_demodulation,[],[f154,f139]) ).
fof(f154,plain,
( sk_c6 != sk_c5
| spl9_19 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl9_19
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).
fof(f535,plain,
( identity = sk_c5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_16 ),
inference(forward_demodulation,[],[f75,f531]) ).
fof(f531,plain,
( identity = sF4
| ~ spl9_7
| ~ spl9_16 ),
inference(forward_demodulation,[],[f530,f1]) ).
fof(f530,plain,
( sF4 = multiply(identity,identity)
| ~ spl9_7
| ~ spl9_16 ),
inference(forward_demodulation,[],[f529,f450]) ).
fof(f450,plain,
( identity = sk_c2
| ~ spl9_7
| ~ spl9_16 ),
inference(forward_demodulation,[],[f438,f2]) ).
fof(f438,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl9_7
| ~ spl9_16 ),
inference(backward_demodulation,[],[f273,f139]) ).
fof(f529,plain,
( sF4 = multiply(sk_c2,identity)
| ~ spl9_16 ),
inference(forward_demodulation,[],[f28,f139]) ).
fof(f519,plain,
( spl9_17
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f518,f50,f143]) ).
fof(f143,plain,
( spl9_17
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f518,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl9_1 ),
inference(forward_demodulation,[],[f32,f52]) ).
fof(f494,plain,
( ~ spl9_1
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| ~ spl9_1
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(subsumption_resolution,[],[f492,f395]) ).
fof(f395,plain,
( identity = inverse(identity)
| ~ spl9_1
| ~ spl9_19 ),
inference(forward_demodulation,[],[f394,f383]) ).
fof(f383,plain,
( identity = sk_c1
| ~ spl9_1
| ~ spl9_19 ),
inference(forward_demodulation,[],[f380,f2]) ).
fof(f380,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl9_1
| ~ spl9_19 ),
inference(backward_demodulation,[],[f195,f378]) ).
fof(f378,plain,
( identity = sF6
| ~ spl9_1
| ~ spl9_19 ),
inference(forward_demodulation,[],[f52,f328]) ).
fof(f328,plain,
( identity = sk_c7
| ~ spl9_19 ),
inference(forward_demodulation,[],[f327,f2]) ).
fof(f327,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl9_19 ),
inference(forward_demodulation,[],[f187,f153]) ).
fof(f153,plain,
( sk_c6 = sk_c5
| ~ spl9_19 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f394,plain,
( identity = inverse(sk_c1)
| ~ spl9_1
| ~ spl9_19 ),
inference(forward_demodulation,[],[f32,f378]) ).
fof(f492,plain,
( identity != inverse(identity)
| ~ spl9_1
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(forward_demodulation,[],[f488,f395]) ).
fof(f488,plain,
( identity != inverse(inverse(identity))
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(trivial_inequality_removal,[],[f487]) ).
fof(f487,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(superposition,[],[f484,f2]) ).
fof(f484,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(forward_demodulation,[],[f483,f139]) ).
fof(f483,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(forward_demodulation,[],[f482,f139]) ).
fof(f482,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl9_11
| ~ spl9_16
| ~ spl9_19 ),
inference(forward_demodulation,[],[f107,f436]) ).
fof(f436,plain,
( identity = sk_c5
| ~ spl9_16
| ~ spl9_19 ),
inference(backward_demodulation,[],[f153,f139]) ).
fof(f481,plain,
( ~ spl9_1
| ~ spl9_12
| ~ spl9_16
| ~ spl9_19 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| ~ spl9_1
| ~ spl9_12
| ~ spl9_16
| ~ spl9_19 ),
inference(subsumption_resolution,[],[f475,f395]) ).
fof(f475,plain,
( identity != inverse(identity)
| ~ spl9_12
| ~ spl9_16
| ~ spl9_19 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f472,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl9_12
| ~ spl9_16
| ~ spl9_19 ),
inference(superposition,[],[f463,f1]) ).
fof(f463,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl9_12
| ~ spl9_16
| ~ spl9_19 ),
inference(forward_demodulation,[],[f462,f328]) ).
fof(f462,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl9_12
| ~ spl9_16
| ~ spl9_19 ),
inference(forward_demodulation,[],[f461,f139]) ).
fof(f461,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| identity != inverse(X5) )
| ~ spl9_12
| ~ spl9_19 ),
inference(forward_demodulation,[],[f110,f328]) ).
fof(f431,plain,
( spl9_16
| ~ spl9_2
| ~ spl9_4
| ~ spl9_19 ),
inference(avatar_split_clause,[],[f430,f152,f64,f54,f138]) ).
fof(f54,plain,
( spl9_2
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f64,plain,
( spl9_4
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f430,plain,
( identity = sk_c6
| ~ spl9_2
| ~ spl9_4
| ~ spl9_19 ),
inference(forward_demodulation,[],[f429,f328]) ).
fof(f429,plain,
( sk_c6 = sk_c7
| ~ spl9_2
| ~ spl9_4
| ~ spl9_19 ),
inference(forward_demodulation,[],[f428,f1]) ).
fof(f428,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_19 ),
inference(forward_demodulation,[],[f115,f345]) ).
fof(f345,plain,
( identity = sk_c3
| ~ spl9_4
| ~ spl9_19 ),
inference(forward_demodulation,[],[f344,f2]) ).
fof(f344,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl9_4
| ~ spl9_19 ),
inference(forward_demodulation,[],[f189,f328]) ).
fof(f189,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl9_4 ),
inference(superposition,[],[f172,f117]) ).
fof(f117,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl9_4 ),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl9_4 ),
inference(backward_demodulation,[],[f24,f66]) ).
fof(f66,plain,
( sk_c7 = sF1
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f24,plain,
inverse(sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f115,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f37,f56]) ).
fof(f56,plain,
( sk_c7 = sF8
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f37,plain,
multiply(sk_c3,sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f402,plain,
( ~ spl9_1
| spl9_14
| ~ spl9_19 ),
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| ~ spl9_1
| spl9_14
| ~ spl9_19 ),
inference(subsumption_resolution,[],[f400,f328]) ).
fof(f400,plain,
( identity != sk_c7
| ~ spl9_1
| spl9_14
| ~ spl9_19 ),
inference(forward_demodulation,[],[f131,f395]) ).
fof(f131,plain,
( sk_c7 != inverse(identity)
| spl9_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f357,plain,
( ~ spl9_16
| spl9_13
| ~ spl9_19 ),
inference(avatar_split_clause,[],[f356,f152,f125,f138]) ).
fof(f356,plain,
( identity != sk_c6
| spl9_13
| ~ spl9_19 ),
inference(forward_demodulation,[],[f127,f328]) ).
fof(f127,plain,
( sk_c6 != sk_c7
| spl9_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f330,plain,
( spl9_16
| ~ spl9_13
| ~ spl9_19 ),
inference(avatar_split_clause,[],[f329,f152,f125,f138]) ).
fof(f329,plain,
( identity = sk_c6
| ~ spl9_13
| ~ spl9_19 ),
inference(backward_demodulation,[],[f126,f328]) ).
fof(f126,plain,
( sk_c6 = sk_c7
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f270,plain,
( ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| spl9_14
| ~ spl9_19 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| spl9_14
| ~ spl9_19 ),
inference(subsumption_resolution,[],[f267,f222]) ).
fof(f222,plain,
( sk_c6 != inverse(identity)
| ~ spl9_13
| spl9_14 ),
inference(backward_demodulation,[],[f131,f126]) ).
fof(f267,plain,
( sk_c6 = inverse(identity)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| ~ spl9_19 ),
inference(backward_demodulation,[],[f239,f263]) ).
fof(f263,plain,
( identity = sk_c3
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| ~ spl9_19 ),
inference(backward_demodulation,[],[f230,f261]) ).
fof(f261,plain,
( ! [X7] : multiply(inverse(sk_c6),X7) = X7
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| ~ spl9_19 ),
inference(backward_demodulation,[],[f231,f260]) ).
fof(f260,plain,
( ! [X12] : multiply(sk_c3,X12) = X12
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| ~ spl9_19 ),
inference(backward_demodulation,[],[f226,f257]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13
| ~ spl9_19 ),
inference(forward_demodulation,[],[f248,f236]) ).
fof(f236,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c3,X9)) = X9
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13 ),
inference(backward_demodulation,[],[f171,f234]) ).
fof(f234,plain,
( sk_c3 = sk_c4
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13 ),
inference(backward_demodulation,[],[f188,f230]) ).
fof(f188,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl9_5 ),
inference(superposition,[],[f172,f118]) ).
fof(f118,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl9_5 ),
inference(superposition,[],[f2,f113]) ).
fof(f113,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl9_5 ),
inference(backward_demodulation,[],[f30,f71]) ).
fof(f171,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c4,X9)) = X9
| ~ spl9_5 ),
inference(forward_demodulation,[],[f160,f1]) ).
fof(f160,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c4,X9)) = multiply(identity,X9)
| ~ spl9_5 ),
inference(superposition,[],[f3,f118]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(sk_c6,X0)
| ~ spl9_4
| ~ spl9_19 ),
inference(backward_demodulation,[],[f204,f153]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c6,X0)
| ~ spl9_4 ),
inference(superposition,[],[f159,f170]) ).
fof(f170,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c3,X10)) = X10
| ~ spl9_4 ),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f161,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c3,X10)) = multiply(identity,X10)
| ~ spl9_4 ),
inference(superposition,[],[f3,f117]) ).
fof(f226,plain,
( ! [X12] : multiply(sk_c3,multiply(sk_c6,X12)) = multiply(sk_c6,X12)
| ~ spl9_2
| ~ spl9_13 ),
inference(backward_demodulation,[],[f163,f126]) ).
fof(f163,plain,
( ! [X12] : multiply(sk_c3,multiply(sk_c6,X12)) = multiply(sk_c7,X12)
| ~ spl9_2 ),
inference(superposition,[],[f3,f115]) ).
fof(f231,plain,
( ! [X7] : multiply(sk_c3,X7) = multiply(inverse(sk_c6),X7)
| ~ spl9_4
| ~ spl9_13 ),
inference(backward_demodulation,[],[f190,f126]) ).
fof(f190,plain,
( ! [X7] : multiply(sk_c3,X7) = multiply(inverse(sk_c7),X7)
| ~ spl9_4 ),
inference(superposition,[],[f172,f170]) ).
fof(f230,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl9_4
| ~ spl9_13 ),
inference(backward_demodulation,[],[f189,f126]) ).
fof(f239,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl9_4
| ~ spl9_5
| ~ spl9_13 ),
inference(backward_demodulation,[],[f113,f234]) ).
fof(f245,plain,
( spl9_19
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_8
| ~ spl9_13 ),
inference(avatar_split_clause,[],[f241,f125,f86,f69,f64,f54,f152]) ).
fof(f241,plain,
( sk_c6 = sk_c5
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_8
| ~ spl9_13 ),
inference(backward_demodulation,[],[f199,f229]) ).
fof(f229,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_13 ),
inference(backward_demodulation,[],[f176,f126]) ).
fof(f176,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl9_2
| ~ spl9_4 ),
inference(superposition,[],[f170,f115]) ).
fof(f199,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl9_5
| ~ spl9_8 ),
inference(forward_demodulation,[],[f193,f113]) ).
fof(f193,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl9_8 ),
inference(superposition,[],[f172,f114]) ).
fof(f114,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl9_8 ),
inference(backward_demodulation,[],[f27,f88]) ).
fof(f213,plain,
( ~ spl9_5
| ~ spl9_8
| spl9_13 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f212,plain,
( $false
| ~ spl9_5
| ~ spl9_8
| spl9_13 ),
inference(subsumption_resolution,[],[f211,f127]) ).
fof(f211,plain,
( sk_c6 = sk_c7
| ~ spl9_5
| ~ spl9_8 ),
inference(backward_demodulation,[],[f187,f209]) ).
fof(f209,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl9_5
| ~ spl9_8 ),
inference(superposition,[],[f172,f199]) ).
fof(f146,plain,
( ~ spl9_3
| ~ spl9_17
| ~ spl9_9 ),
inference(avatar_split_clause,[],[f123,f100,f143,f60]) ).
fof(f100,plain,
( spl9_9
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f123,plain,
( sk_c7 != inverse(sk_c1)
| sk_c6 != sF2
| ~ spl9_9 ),
inference(superposition,[],[f101,f25]) ).
fof(f101,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f132,plain,
( ~ spl9_13
| ~ spl9_14
| ~ spl9_9 ),
inference(avatar_split_clause,[],[f120,f100,f129,f125]) ).
fof(f120,plain,
( sk_c7 != inverse(identity)
| sk_c6 != sk_c7
| ~ spl9_9 ),
inference(superposition,[],[f101,f1]) ).
fof(f111,plain,
( spl9_9
| spl9_10
| spl9_11
| spl9_12 ),
inference(avatar_split_clause,[],[f98,f109,f106,f103,f100]) ).
fof(f98,plain,
! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X6) ),
inference(subsumption_resolution,[],[f23,f46]) ).
fof(f23,plain,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != sF0
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X6,sk_c5) ),
inference(definition_folding,[],[f21,f22]) ).
fof(f21,axiom,
! [X3,X6,X4,X5] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f97,plain,
( spl9_2
| spl9_6 ),
inference(avatar_split_clause,[],[f40,f73,f54]) ).
fof(f40,plain,
( sk_c5 = sF4
| sk_c7 = sF8 ),
inference(definition_folding,[],[f14,f37,f28]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f96,plain,
( spl9_5
| spl9_3 ),
inference(avatar_split_clause,[],[f31,f60,f69]) ).
fof(f31,plain,
( sk_c6 = sF2
| sk_c6 = sF5 ),
inference(definition_folding,[],[f7,f30,f25]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f95,plain,
( spl9_7
| spl9_4 ),
inference(avatar_split_clause,[],[f36,f64,f80]) ).
fof(f36,plain,
( sk_c7 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f17,f24,f35]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f94,plain,
( spl9_3
| spl9_8 ),
inference(avatar_split_clause,[],[f45,f86,f60]) ).
fof(f45,plain,
( sk_c6 = sF3
| sk_c6 = sF2 ),
inference(definition_folding,[],[f8,f25,f27]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f93,plain,
( spl9_5
| spl9_1 ),
inference(avatar_split_clause,[],[f48,f50,f69]) ).
fof(f48,plain,
( sk_c7 = sF6
| sk_c6 = sF5 ),
inference(definition_folding,[],[f11,f32,f30]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f92,plain,
( spl9_8
| spl9_1 ),
inference(avatar_split_clause,[],[f34,f50,f86]) ).
fof(f34,plain,
( sk_c7 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f12,f32,f27]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f91,plain,
( spl9_4
| spl9_1 ),
inference(avatar_split_clause,[],[f33,f50,f64]) ).
fof(f33,plain,
( sk_c7 = sF6
| sk_c7 = sF1 ),
inference(definition_folding,[],[f9,f32,f24]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f90,plain,
( spl9_8
| spl9_6 ),
inference(avatar_split_clause,[],[f29,f73,f86]) ).
fof(f29,plain,
( sk_c5 = sF4
| sk_c6 = sF3 ),
inference(definition_folding,[],[f16,f28,f27]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f89,plain,
( spl9_7
| spl9_8 ),
inference(avatar_split_clause,[],[f43,f86,f80]) ).
fof(f43,plain,
( sk_c6 = sF3
| sk_c6 = sF7 ),
inference(definition_folding,[],[f20,f27,f35]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f84,plain,
( spl9_2
| spl9_7 ),
inference(avatar_split_clause,[],[f44,f80,f54]) ).
fof(f44,plain,
( sk_c6 = sF7
| sk_c7 = sF8 ),
inference(definition_folding,[],[f18,f35,f37]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f83,plain,
( spl9_7
| spl9_5 ),
inference(avatar_split_clause,[],[f42,f69,f80]) ).
fof(f42,plain,
( sk_c6 = sF5
| sk_c6 = sF7 ),
inference(definition_folding,[],[f19,f30,f35]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f78,plain,
( spl9_3
| spl9_2 ),
inference(avatar_split_clause,[],[f38,f54,f60]) ).
fof(f38,plain,
( sk_c7 = sF8
| sk_c6 = sF2 ),
inference(definition_folding,[],[f6,f37,f25]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f77,plain,
( spl9_6
| spl9_4 ),
inference(avatar_split_clause,[],[f47,f64,f73]) ).
fof(f47,plain,
( sk_c7 = sF1
| sk_c5 = sF4 ),
inference(definition_folding,[],[f13,f24,f28]) ).
fof(f13,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f76,plain,
( spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f39,f73,f69]) ).
fof(f39,plain,
( sk_c5 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f15,f30,f28]) ).
fof(f15,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f67,plain,
( spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f26,f64,f60]) ).
fof(f26,plain,
( sk_c7 = sF1
| sk_c6 = sF2 ),
inference(definition_folding,[],[f5,f25,f24]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f57,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f41,f54,f50]) ).
fof(f41,plain,
( sk_c7 = sF8
| sk_c7 = sF6 ),
inference(definition_folding,[],[f10,f32,f37]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP315-1 : 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_uns --cores 0 -t %d %s
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 29 22:35:35 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (28804)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51 % (28820)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)
% 0.21/0.52 % (28819)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)
% 0.21/0.52 % (28821)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)
% 0.21/0.52 % (28811)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)
% 0.21/0.52 % (28803)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)
% 0.21/0.52 % (28812)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)
% 0.21/0.52 % (28812)Instruction limit reached!
% 0.21/0.52 % (28812)------------------------------
% 0.21/0.52 % (28812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (28800)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)
% 0.21/0.53 % (28813)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)
% 0.21/0.53 % (28812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (28812)Termination reason: Unknown
% 0.21/0.53 % (28812)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (28812)Memory used [KB]: 5884
% 0.21/0.53 % (28812)Time elapsed: 0.004 s
% 0.21/0.53 % (28812)Instructions burned: 3 (million)
% 0.21/0.53 % (28812)------------------------------
% 0.21/0.53 % (28812)------------------------------
% 0.21/0.53 % (28827)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)
% 0.21/0.53 % (28805)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)
% 0.21/0.53 % (28825)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)
% 0.21/0.53 % (28826)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)
% 0.21/0.53 % (28802)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)
% 0.21/0.53 % (28828)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)
% 0.21/0.53 % (28822)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)
% 0.21/0.53 % (28801)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)
% 0.21/0.53 % (28799)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (28823)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)
% 0.21/0.53 % (28801)Instruction limit reached!
% 0.21/0.53 % (28801)------------------------------
% 0.21/0.53 % (28801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (28801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (28801)Termination reason: Unknown
% 0.21/0.53 % (28801)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (28801)Memory used [KB]: 5884
% 0.21/0.53 % (28801)Time elapsed: 0.138 s
% 0.21/0.53 % (28801)Instructions burned: 5 (million)
% 0.21/0.53 % (28801)------------------------------
% 0.21/0.53 % (28801)------------------------------
% 0.21/0.54 % (28814)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 % (28815)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)
% 0.21/0.54 % (28817)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)
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (28815)Instruction limit reached!
% 0.21/0.54 % (28815)------------------------------
% 0.21/0.54 % (28815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28814)Instruction limit reached!
% 0.21/0.54 % (28814)------------------------------
% 0.21/0.54 % (28814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28815)Termination reason: Unknown
% 0.21/0.54 % (28814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28815)Termination phase: Saturation
% 0.21/0.54 % (28814)Termination reason: Unknown
% 0.21/0.54
% 0.21/0.54 % (28814)Termination phase: Finite model building SAT solving
% 0.21/0.54
% 0.21/0.54 % (28815)Memory used [KB]: 5884
% 0.21/0.54 % (28815)Time elapsed: 0.139 s
% 0.21/0.54 % (28814)Memory used [KB]: 6012
% 0.21/0.54 % (28815)Instructions burned: 2 (million)
% 0.21/0.54 % (28814)Time elapsed: 0.139 s
% 0.21/0.54 % (28815)------------------------------
% 0.21/0.54 % (28815)------------------------------
% 0.21/0.54 % (28814)Instructions burned: 8 (million)
% 0.21/0.54 % (28814)------------------------------
% 0.21/0.54 % (28814)------------------------------
% 0.21/0.54 % (28819)Instruction limit reached!
% 0.21/0.54 % (28819)------------------------------
% 0.21/0.54 % (28819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28818)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)
% 0.21/0.54 % (28819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28819)Termination reason: Unknown
% 0.21/0.54 % (28819)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (28819)Memory used [KB]: 1407
% 0.21/0.54 % (28819)Time elapsed: 0.144 s
% 0.21/0.54 % (28819)Instructions burned: 7 (million)
% 0.21/0.54 % (28819)------------------------------
% 0.21/0.54 % (28819)------------------------------
% 0.21/0.54 % (28811)Instruction limit reached!
% 0.21/0.54 % (28811)------------------------------
% 0.21/0.54 % (28811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28811)Termination reason: Unknown
% 0.21/0.54 % (28811)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (28811)Memory used [KB]: 5884
% 0.21/0.54 % (28811)Time elapsed: 0.123 s
% 0.21/0.54 % (28811)Instructions burned: 5 (million)
% 0.21/0.54 % (28811)------------------------------
% 0.21/0.54 % (28811)------------------------------
% 0.21/0.54 % (28808)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)
% 0.21/0.54 % (28807)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)
% 0.21/0.54 % (28806)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)
% 0.21/0.54 % (28810)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)
% 0.21/0.54 % (28807)Instruction limit reached!
% 0.21/0.54 % (28807)------------------------------
% 0.21/0.54 % (28807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28807)Termination reason: Unknown
% 0.21/0.54 % (28807)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (28807)Memory used [KB]: 5884
% 0.21/0.54 % (28807)Time elapsed: 0.150 s
% 0.21/0.54 % (28807)Instructions burned: 5 (million)
% 0.21/0.54 % (28807)------------------------------
% 0.21/0.54 % (28807)------------------------------
% 0.21/0.54 % (28804)Instruction limit reached!
% 0.21/0.54 % (28804)------------------------------
% 0.21/0.54 % (28804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28804)Termination reason: Unknown
% 0.21/0.54 % (28804)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (28804)Memory used [KB]: 6140
% 0.21/0.54 % (28804)Time elapsed: 0.134 s
% 0.21/0.54 % (28804)Instructions burned: 25 (million)
% 0.21/0.54 % (28804)------------------------------
% 0.21/0.54 % (28804)------------------------------
% 0.21/0.54 % (28827)Instruction limit reached!
% 0.21/0.54 % (28827)------------------------------
% 0.21/0.54 % (28827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28809)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)
% 1.52/0.55 % (28809)Instruction limit reached!
% 1.52/0.55 % (28809)------------------------------
% 1.52/0.55 % (28809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (28809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (28809)Termination reason: Unknown
% 1.52/0.55 % (28809)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (28809)Memory used [KB]: 6012
% 1.52/0.55 % (28809)Time elapsed: 0.153 s
% 1.52/0.55 % (28809)Instructions burned: 8 (million)
% 1.52/0.55 % (28809)------------------------------
% 1.52/0.55 % (28809)------------------------------
% 1.52/0.55 % (28827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (28827)Termination reason: Unknown
% 1.52/0.55 % (28827)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (28827)Memory used [KB]: 6268
% 1.52/0.55 % (28827)Time elapsed: 0.140 s
% 1.52/0.55 % (28827)Instructions burned: 21 (million)
% 1.52/0.55 % (28827)------------------------------
% 1.52/0.55 % (28827)------------------------------
% 1.52/0.55 % (28816)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.52/0.55 % (28822)Refutation not found, incomplete strategy% (28822)------------------------------
% 1.52/0.55 % (28822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (28822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (28822)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.55
% 1.52/0.55 % (28822)Memory used [KB]: 5884
% 1.52/0.55 % (28822)Time elapsed: 0.160 s
% 1.52/0.55 % (28822)Instructions burned: 3 (million)
% 1.52/0.55 % (28822)------------------------------
% 1.52/0.55 % (28822)------------------------------
% 1.52/0.55 % (28816)Instruction limit reached!
% 1.52/0.55 % (28816)------------------------------
% 1.52/0.55 % (28816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (28818)Instruction limit reached!
% 1.52/0.56 % (28818)------------------------------
% 1.52/0.56 % (28818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (28818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (28818)Termination reason: Unknown
% 1.52/0.56 % (28818)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (28818)Memory used [KB]: 6012
% 1.52/0.56 % (28818)Time elapsed: 0.162 s
% 1.52/0.56 % (28818)Instructions burned: 7 (million)
% 1.52/0.56 % (28818)------------------------------
% 1.52/0.56 % (28818)------------------------------
% 1.52/0.56 % (28803)Instruction limit reached!
% 1.52/0.56 % (28803)------------------------------
% 1.52/0.56 % (28803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (28803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (28803)Termination reason: Unknown
% 1.52/0.56 % (28803)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (28803)Memory used [KB]: 6524
% 1.52/0.56 % (28803)Time elapsed: 0.142 s
% 1.52/0.56 % (28803)Instructions burned: 34 (million)
% 1.52/0.56 % (28803)------------------------------
% 1.52/0.56 % (28803)------------------------------
% 1.52/0.56 % (28816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (28816)Termination reason: Unknown
% 1.52/0.56 % (28816)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (28816)Memory used [KB]: 6012
% 1.52/0.56 % (28816)Time elapsed: 0.138 s
% 1.52/0.56 % (28816)Instructions burned: 9 (million)
% 1.52/0.56 % (28816)------------------------------
% 1.52/0.56 % (28816)------------------------------
% 1.72/0.57 % (28824)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)
% 1.72/0.57 % (28813)Instruction limit reached!
% 1.72/0.57 % (28813)------------------------------
% 1.72/0.57 % (28813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57 % (28813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57 % (28813)Termination reason: Unknown
% 1.72/0.57 % (28813)Termination phase: Saturation
% 1.72/0.57
% 1.72/0.57 % (28813)Memory used [KB]: 1663
% 1.72/0.57 % (28813)Time elapsed: 0.127 s
% 1.72/0.57 % (28813)Instructions burned: 30 (million)
% 1.72/0.57 % (28813)------------------------------
% 1.72/0.57 % (28813)------------------------------
% 1.72/0.57 % (28799)First to succeed.
% 1.72/0.58 % (28799)Refutation found. Thanks to Tanya!
% 1.72/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58 % (28799)------------------------------
% 1.72/0.58 % (28799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (28799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (28799)Termination reason: Refutation
% 1.72/0.58
% 1.72/0.58 % (28799)Memory used [KB]: 6268
% 1.72/0.58 % (28799)Time elapsed: 0.154 s
% 1.72/0.58 % (28799)Instructions burned: 32 (million)
% 1.72/0.58 % (28799)------------------------------
% 1.72/0.58 % (28799)------------------------------
% 1.72/0.58 % (28798)Success in time 0.219 s
%------------------------------------------------------------------------------