TSTP Solution File: GRP233-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP233-1 : 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 16:20:58 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 39
% Syntax : Number of formulae : 149 ( 12 unt; 0 def)
% Number of atoms : 414 ( 176 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 495 ( 230 ~; 248 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f548,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f54,f59,f69,f93,f94,f102,f103,f104,f105,f106,f107,f110,f112,f113,f114,f115,f118,f119,f145,f181,f249,f359,f379,f386,f503,f515,f547]) ).
fof(f547,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| spl0_16
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f545,f135]) ).
fof(f135,plain,
( identity != sk_c8
| spl0_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_16
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f545,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_18 ),
inference(backward_demodulation,[],[f519,f541]) ).
fof(f541,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_1
| ~ spl0_6 ),
inference(backward_demodulation,[],[f507,f538]) ).
fof(f538,plain,
( sk_c4 = sk_c5
| ~ spl0_1
| ~ spl0_6 ),
inference(backward_demodulation,[],[f508,f535]) ).
fof(f535,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_6 ),
inference(superposition,[],[f295,f63]) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f295,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f281,f264]) ).
fof(f264,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f162,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f162,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f148,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f148,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
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(f281,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f265,f264]) ).
fof(f265,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f162,f162]) ).
fof(f508,plain,
( inverse(sk_c8) = sk_c5
| ~ spl0_1 ),
inference(superposition,[],[f295,f40]) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f507,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f283,f40]) ).
fof(f283,plain,
! [X4] : identity = multiply(X4,inverse(X4)),
inference(superposition,[],[f265,f2]) ).
fof(f519,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_14
| ~ spl0_18 ),
inference(backward_demodulation,[],[f100,f143]) ).
fof(f143,plain,
( sk_c8 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_18
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f100,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_14
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f515,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| spl0_18 ),
inference(subsumption_resolution,[],[f513,f144]) ).
fof(f144,plain,
( sk_c8 != sk_c7
| spl0_18 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f513,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f512,f281]) ).
fof(f512,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(backward_demodulation,[],[f53,f511]) ).
fof(f511,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_9 ),
inference(backward_demodulation,[],[f78,f507]) ).
fof(f78,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f503,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f502,f138,f133]) ).
fof(f138,plain,
( spl0_17
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f502,plain,
( identity != sk_c8
| spl0_17 ),
inference(forward_demodulation,[],[f140,f319]) ).
fof(f319,plain,
identity = inverse(identity),
inference(superposition,[],[f283,f1]) ).
fof(f140,plain,
( sk_c8 != inverse(identity)
| spl0_17 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f386,plain,
( spl0_12
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| spl0_12
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f384,f251]) ).
fof(f251,plain,
( identity = inverse(identity)
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f139,f134]) ).
fof(f134,plain,
( identity = sk_c8
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f139,plain,
( sk_c8 = inverse(identity)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f384,plain,
( identity != inverse(identity)
| spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f383,f134]) ).
fof(f383,plain,
( identity != inverse(sk_c8)
| spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f89,f252]) ).
fof(f252,plain,
( identity = sk_c7
| ~ spl0_16
| ~ spl0_18 ),
inference(backward_demodulation,[],[f143,f134]) ).
fof(f89,plain,
( inverse(sk_c8) != sk_c7
| spl0_12 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_12
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f379,plain,
( ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f372,f251]) ).
fof(f372,plain,
( identity != inverse(identity)
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f367,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f362,f1]) ).
fof(f362,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f361,f134]) ).
fof(f361,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f360,f252]) ).
fof(f360,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f92,f134]) ).
fof(f92,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f359,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f349,f251]) ).
fof(f349,plain,
( identity != inverse(identity)
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f346]) ).
fof(f346,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f292,f281]) ).
fof(f292,plain,
( ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(backward_demodulation,[],[f258,f281]) ).
fof(f258,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f256,f134]) ).
fof(f256,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(backward_demodulation,[],[f210,f134]) ).
fof(f210,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f85,f143]) ).
fof(f85,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_11
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f249,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f221,f142,f87,f72,f56,f133]) ).
fof(f56,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f72,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f221,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f195,f186]) ).
fof(f186,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_12
| ~ spl0_18 ),
inference(backward_demodulation,[],[f121,f143]) ).
fof(f121,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f194,f192]) ).
fof(f192,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c8,X14)) = X14
| ~ spl0_12
| ~ spl0_18 ),
inference(backward_demodulation,[],[f163,f143]) ).
fof(f163,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c8,X14)) = X14
| ~ spl0_12 ),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f155,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c8,X14)) = multiply(identity,X14)
| ~ spl0_12 ),
inference(superposition,[],[f3,f121]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(backward_demodulation,[],[f172,f143]) ).
fof(f172,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f3,f168]) ).
fof(f168,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f160,f74]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f160,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c1,X11)) = X11
| ~ spl0_5 ),
inference(forward_demodulation,[],[f152,f1]) ).
fof(f152,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c1,X11))
| ~ spl0_5 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_5 ),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f181,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f177,f66,f47,f42,f142]) ).
fof(f42,plain,
( spl0_2
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f47,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f66,plain,
( spl0_7
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f177,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(backward_demodulation,[],[f44,f175]) ).
fof(f175,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f161,f68]) ).
fof(f68,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f161,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c2,X13)) = X13
| ~ spl0_3 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c2,X13)) = multiply(identity,X13)
| ~ spl0_3 ),
inference(superposition,[],[f3,f125]) ).
fof(f125,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f145,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f126,f81,f142,f138]) ).
fof(f81,plain,
( spl0_10
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f126,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_10 ),
inference(superposition,[],[f82,f1]) ).
fof(f82,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f119,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f26,f66,f51]) ).
fof(f26,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f118,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f76,f66]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f115,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f98,f72]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f114,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f22,f76,f42]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f113,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f61,f56]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f112,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f56,f98]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f110,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f13,f72,f38]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f107,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f42,f51]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f106,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f5,f98,f87]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f105,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f32,f47,f76]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f104,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f4,f87,f61]) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f103,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f61,f72]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f102,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f47,f38]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f94,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f8,f38,f87]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f93,plain,
( spl0_10
| spl0_11
| ~ spl0_12
| spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f91,f84,f87,f84,f81]) ).
fof(f36,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X8,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X8)
| multiply(X8,sk_c8) != X7
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f69,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f28,f66,f38]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f59,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f18,f38,f56]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f54,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f51,f47]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f42,f38]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP233-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % 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 22:19:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (8443)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)
% 0.19/0.49 % (8462)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.49 % (8470)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (8464)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)
% 0.19/0.51 % (8456)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)
% 0.19/0.51 % (8443)First to succeed.
% 0.19/0.51 % (8443)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (8443)------------------------------
% 0.19/0.51 % (8443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8443)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (8443)Memory used [KB]: 5756
% 0.19/0.51 % (8443)Time elapsed: 0.094 s
% 0.19/0.51 % (8443)Instructions burned: 18 (million)
% 0.19/0.51 % (8443)------------------------------
% 0.19/0.51 % (8443)------------------------------
% 0.19/0.51 % (8440)Success in time 0.166 s
%------------------------------------------------------------------------------