TSTP Solution File: GRP285-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP285-1 : 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 : n011.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 16:21:09 EDT 2022
% Result : Unsatisfiable 1.56s 0.56s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 50
% Syntax : Number of formulae : 183 ( 24 unt; 0 def)
% Number of atoms : 494 ( 218 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 580 ( 269 ~; 293 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f530,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f92,f101,f106,f111,f116,f121,f122,f123,f131,f132,f134,f135,f136,f150,f154,f156,f158,f178,f205,f233,f243,f265,f333,f361,f363,f369,f390,f484,f488,f518,f528]) ).
fof(f528,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| spl11_16 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| spl11_16 ),
inference(subsumption_resolution,[],[f526,f444]) ).
fof(f444,plain,
( sk_c9 = sk_c7
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f408,f442]) ).
fof(f442,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl11_4
| ~ spl11_7 ),
inference(backward_demodulation,[],[f391,f91]) ).
fof(f91,plain,
( sk_c6 = sF4
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl11_4
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f391,plain,
( sk_c9 = multiply(sk_c9,sF4)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f313,f105]) ).
fof(f105,plain,
( sk_c9 = sF2
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl11_7
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f313,plain,
sk_c9 = multiply(sF2,sF4),
inference(forward_demodulation,[],[f305,f37]) ).
fof(f37,plain,
inverse(sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f305,plain,
sk_c9 = multiply(inverse(sk_c5),sF4),
inference(superposition,[],[f286,f40]) ).
fof(f40,plain,
multiply(sk_c5,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f286,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f273,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f273,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/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f408,plain,
( sk_c7 = multiply(sk_c9,sk_c6)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f52,f115]) ).
fof(f115,plain,
( sk_c7 = sF9
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl11_9
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f52,plain,
multiply(sk_c9,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f526,plain,
( sk_c9 != sk_c7
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| spl11_16 ),
inference(forward_demodulation,[],[f525,f474]) ).
fof(f474,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f442,f472]) ).
fof(f472,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f463,f2]) ).
fof(f463,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c9)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f406,f444]) ).
fof(f406,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c7)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f301,f115]) ).
fof(f301,plain,
sk_c6 = multiply(inverse(sk_c9),sF9),
inference(superposition,[],[f286,f52]) ).
fof(f525,plain,
( sk_c7 != multiply(sk_c9,identity)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| spl11_16 ),
inference(forward_demodulation,[],[f177,f475]) ).
fof(f475,plain,
( identity = sF4
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f91,f472]) ).
fof(f177,plain,
( sk_c7 != multiply(sk_c9,sF4)
| spl11_16 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl11_16
<=> sk_c7 = multiply(sk_c9,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f518,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f510]) ).
fof(f510,plain,
( sk_c9 != sk_c9
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_15 ),
inference(superposition,[],[f494,f1]) ).
fof(f494,plain,
( ! [X4] : sk_c9 != multiply(X4,sk_c9)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_15 ),
inference(forward_demodulation,[],[f149,f444]) ).
fof(f149,plain,
( ! [X4] : sk_c7 != multiply(X4,sk_c9)
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl11_15
<=> ! [X4] : sk_c7 != multiply(X4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f488,plain,
( ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f486,f485]) ).
fof(f485,plain,
( sk_c9 != sF3
| ~ spl11_4
| spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f99,f444]) ).
fof(f99,plain,
( sk_c7 != sF3
| spl11_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_6
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f486,plain,
( sk_c9 = sF3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f38,f433]) ).
fof(f433,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f364,f120]) ).
fof(f120,plain,
( sk_c8 = sF6
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl11_10
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f364,plain,
( sk_c9 = multiply(sk_c9,sF6)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f314,f96]) ).
fof(f96,plain,
( sk_c9 = sF1
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl11_5
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f314,plain,
sk_c9 = multiply(sF1,sF6),
inference(forward_demodulation,[],[f303,f35]) ).
fof(f35,plain,
inverse(sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f303,plain,
sk_c9 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f286,f44]) ).
fof(f44,plain,
multiply(sk_c3,sk_c9) = sF6,
introduced(function_definition,[]) ).
fof(f38,plain,
multiply(sk_c9,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f484,plain,
( spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f482,f80]) ).
fof(f80,plain,
( sk_c8 != sF0
| spl11_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl11_2
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f482,plain,
( sk_c8 = sF0
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f481,f447]) ).
fof(f447,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f44,f120]) ).
fof(f481,plain,
( multiply(sk_c3,sk_c9) = sF0
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f34,f370]) ).
fof(f370,plain,
( sk_c3 = sk_c1
| ~ spl11_3
| ~ spl11_5 ),
inference(backward_demodulation,[],[f302,f365]) ).
fof(f365,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f308,f96]) ).
fof(f308,plain,
sk_c3 = multiply(inverse(sF1),identity),
inference(superposition,[],[f286,f163]) ).
fof(f163,plain,
identity = multiply(sF1,sk_c3),
inference(superposition,[],[f2,f35]) ).
fof(f302,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl11_3 ),
inference(superposition,[],[f286,f166]) ).
fof(f166,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl11_3 ),
inference(superposition,[],[f2,f159]) ).
fof(f159,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f47,f86]) ).
fof(f86,plain,
( sk_c9 = sF7
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl11_3
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f47,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f34,plain,
multiply(sk_c1,sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f390,plain,
( spl11_31
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f389,f108,f262]) ).
fof(f262,plain,
( spl11_31
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
fof(f108,plain,
( spl11_8
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f389,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f49,f110]) ).
fof(f110,plain,
( sk_c7 = sF8
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f49,plain,
inverse(sk_c4) = sF8,
introduced(function_definition,[]) ).
fof(f369,plain,
( spl11_27
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f368,f94,f240]) ).
fof(f240,plain,
( spl11_27
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
fof(f368,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f35,f96]) ).
fof(f363,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f359,plain,
( sk_c9 != sk_c9
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_15 ),
inference(superposition,[],[f339,f322]) ).
fof(f322,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f161,f317]) ).
fof(f317,plain,
( sk_c9 = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6 ),
inference(backward_demodulation,[],[f160,f316]) ).
fof(f316,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f306,f159]) ).
fof(f306,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_2 ),
inference(superposition,[],[f286,f162]) ).
fof(f162,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f34,f81]) ).
fof(f81,plain,
( sk_c8 = sF0
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f160,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl11_6 ),
inference(backward_demodulation,[],[f38,f100]) ).
fof(f100,plain,
( sk_c7 = sF3
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f161,plain,
( sk_c7 = multiply(sk_c2,sk_c9)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f43,f127]) ).
fof(f127,plain,
( sk_c7 = sF5
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl11_11
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f43,plain,
multiply(sk_c2,sk_c9) = sF5,
introduced(function_definition,[]) ).
fof(f339,plain,
( ! [X4] : sk_c9 != multiply(X4,sk_c9)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_15 ),
inference(forward_demodulation,[],[f149,f317]) ).
fof(f361,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f353]) ).
fof(f353,plain,
( sk_c9 != sk_c9
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_15 ),
inference(superposition,[],[f339,f1]) ).
fof(f333,plain,
( spl11_13
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f332,f145,f98,f84,f79,f142]) ).
fof(f142,plain,
( spl11_13
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f145,plain,
( spl11_14
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f332,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_14 ),
inference(forward_demodulation,[],[f321,f317]) ).
fof(f321,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f146,f317]) ).
fof(f146,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f265,plain,
( ~ spl11_1
| ~ spl11_31
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f255,f145,f262,f75]) ).
fof(f75,plain,
( spl11_1
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f255,plain,
( sk_c7 != inverse(sk_c4)
| sk_c8 != sF10
| ~ spl11_14 ),
inference(superposition,[],[f146,f56]) ).
fof(f56,plain,
multiply(sk_c4,sk_c7) = sF10,
introduced(function_definition,[]) ).
fof(f243,plain,
( ~ spl11_10
| ~ spl11_27
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f217,f142,f240,f118]) ).
fof(f217,plain,
( sk_c9 != inverse(sk_c3)
| sk_c8 != sF6
| ~ spl11_13 ),
inference(superposition,[],[f143,f44]) ).
fof(f143,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f233,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f221,f159]) ).
fof(f221,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f219]) ).
fof(f219,plain,
( sk_c9 != inverse(sk_c1)
| sk_c8 != sk_c8
| ~ spl11_2
| ~ spl11_13 ),
inference(superposition,[],[f143,f162]) ).
fof(f205,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f203,f159]) ).
fof(f203,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f171,f160]) ).
fof(f171,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_12 ),
inference(superposition,[],[f140,f162]) ).
fof(f140,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X8) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl11_12
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f178,plain,
( ~ spl11_16
| ~ spl11_7
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f173,f139,f103,f175]) ).
fof(f173,plain,
( sk_c9 != sF2
| sk_c7 != multiply(sk_c9,sF4)
| ~ spl11_12 ),
inference(forward_demodulation,[],[f170,f37]) ).
fof(f170,plain,
( sk_c9 != inverse(sk_c5)
| sk_c7 != multiply(sk_c9,sF4)
| ~ spl11_12 ),
inference(superposition,[],[f140,f40]) ).
fof(f158,plain,
( spl11_6
| spl11_9 ),
inference(avatar_split_clause,[],[f72,f113,f98]) ).
fof(f72,plain,
( sk_c7 = sF9
| sk_c7 = sF3 ),
inference(definition_folding,[],[f8,f38,f52]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f156,plain,
( spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f54,f118,f79]) ).
fof(f54,plain,
( sk_c8 = sF6
| sk_c8 = sF0 ),
inference(definition_folding,[],[f11,f34,f44]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f154,plain,
( spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f71,f98,f108]) ).
fof(f71,plain,
( sk_c7 = sF3
| sk_c7 = sF8 ),
inference(definition_folding,[],[f7,f49,f38]) ).
fof(f7,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f150,plain,
( spl11_12
| spl11_13
| spl11_14
| spl11_13
| spl11_15
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f46,f98,f148,f142,f145,f142,f139]) ).
fof(f46,plain,
! [X3,X8,X6,X4,X5] :
( sk_c7 != sF3
| sk_c7 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| sk_c7 != inverse(X6)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X5) ),
inference(definition_folding,[],[f33,f38]) ).
fof(f33,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X5)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X4,sk_c9)
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f32]) ).
fof(f32,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,X7)
| sk_c9 != inverse(X5)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X4,sk_c9)
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(X8,sk_c9) != X7
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X5,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f136,plain,
( spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f62,f98,f89]) ).
fof(f62,plain,
( sk_c7 = sF3
| sk_c6 = sF4 ),
inference(definition_folding,[],[f9,f40,f38]) ).
fof(f9,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f135,plain,
( spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f50,f108,f84]) ).
fof(f50,plain,
( sk_c7 = sF8
| sk_c9 = sF7 ),
inference(definition_folding,[],[f21,f49,f47]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f134,plain,
( spl11_7
| spl11_6 ),
inference(avatar_split_clause,[],[f39,f98,f103]) ).
fof(f39,plain,
( sk_c7 = sF3
| sk_c9 = sF2 ),
inference(definition_folding,[],[f10,f38,f37]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f132,plain,
( spl11_5
| spl11_2 ),
inference(avatar_split_clause,[],[f36,f79,f94]) ).
fof(f36,plain,
( sk_c8 = sF0
| sk_c9 = sF1 ),
inference(definition_folding,[],[f12,f35,f34]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f131,plain,
( spl11_8
| spl11_11 ),
inference(avatar_split_clause,[],[f55,f125,f108]) ).
fof(f55,plain,
( sk_c7 = sF5
| sk_c7 = sF8 ),
inference(definition_folding,[],[f28,f49,f43]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f123,plain,
( spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f59,f94,f84]) ).
fof(f59,plain,
( sk_c9 = sF1
| sk_c9 = sF7 ),
inference(definition_folding,[],[f19,f35,f47]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f122,plain,
( spl11_6
| spl11_10 ),
inference(avatar_split_clause,[],[f51,f118,f98]) ).
fof(f51,plain,
( sk_c8 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f4,f38,f44]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f121,plain,
( spl11_10
| spl11_3 ),
inference(avatar_split_clause,[],[f67,f84,f118]) ).
fof(f67,plain,
( sk_c9 = sF7
| sk_c8 = sF6 ),
inference(definition_folding,[],[f18,f44,f47]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f116,plain,
( spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f70,f113,f84]) ).
fof(f70,plain,
( sk_c7 = sF9
| sk_c9 = sF7 ),
inference(definition_folding,[],[f22,f52,f47]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f111,plain,
( spl11_8
| spl11_2 ),
inference(avatar_split_clause,[],[f64,f79,f108]) ).
fof(f64,plain,
( sk_c8 = sF0
| sk_c7 = sF8 ),
inference(definition_folding,[],[f14,f34,f49]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f106,plain,
( spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f48,f84,f103]) ).
fof(f48,plain,
( sk_c9 = sF7
| sk_c9 = sF2 ),
inference(definition_folding,[],[f24,f37,f47]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f101,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f42,f98,f94]) ).
fof(f42,plain,
( sk_c7 = sF3
| sk_c9 = sF1 ),
inference(definition_folding,[],[f5,f35,f38]) ).
fof(f5,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f92,plain,
( spl11_4
| spl11_3 ),
inference(avatar_split_clause,[],[f69,f84,f89]) ).
fof(f69,plain,
( sk_c9 = sF7
| sk_c6 = sF4 ),
inference(definition_folding,[],[f23,f40,f47]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f87,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f61,f84,f75]) ).
fof(f61,plain,
( sk_c9 = sF7
| sk_c8 = sF10 ),
inference(definition_folding,[],[f20,f56,f47]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP285-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:23:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (26404)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)
% 0.20/0.50 % (26391)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)
% 0.20/0.51 % (26396)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)
% 0.20/0.51 % (26388)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)
% 0.20/0.51 % (26390)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (26406)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (26390)Instruction limit reached!
% 0.20/0.52 % (26390)------------------------------
% 0.20/0.52 % (26390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26386)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (26390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26390)Termination reason: Unknown
% 0.20/0.52 % (26390)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (26390)Memory used [KB]: 5373
% 0.20/0.52 % (26390)Time elapsed: 0.003 s
% 0.20/0.52 % (26390)Instructions burned: 2 (million)
% 0.20/0.52 % (26390)------------------------------
% 0.20/0.52 % (26390)------------------------------
% 0.20/0.52 % (26389)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (26384)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)
% 0.20/0.52 % (26394)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (26398)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)
% 0.20/0.53 % (26392)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (26387)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)
% 0.20/0.53 % (26389)Instruction limit reached!
% 0.20/0.53 % (26389)------------------------------
% 0.20/0.53 % (26389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26389)Termination reason: Unknown
% 0.20/0.53 % (26389)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (26389)Memory used [KB]: 5500
% 0.20/0.53 % (26389)Time elapsed: 0.124 s
% 0.20/0.53 % (26389)Instructions burned: 8 (million)
% 0.20/0.53 % (26389)------------------------------
% 0.20/0.53 % (26389)------------------------------
% 1.39/0.53 % (26393)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)
% 1.39/0.54 % (26402)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)
% 1.39/0.54 % (26383)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)
% 1.39/0.54 % (26403)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.54 % (26409)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.54 % (26400)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54 % (26405)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.39/0.54 % (26407)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.39/0.54 % (26410)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.54 % (26385)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.54 % (26408)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)
% 1.39/0.54 % (26395)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.54 % (26382)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.39/0.54 TRYING [1]
% 1.39/0.54 TRYING [2]
% 1.39/0.54 TRYING [3]
% 1.39/0.54 TRYING [1]
% 1.39/0.54 TRYING [2]
% 1.56/0.55 % (26411)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.56/0.55 TRYING [3]
% 1.56/0.55 % (26397)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.56/0.55 % (26401)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.55 % (26406)First to succeed.
% 1.56/0.56 % (26399)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.56 % (26406)Refutation found. Thanks to Tanya!
% 1.56/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.56 % (26406)------------------------------
% 1.56/0.56 % (26406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (26406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (26406)Termination reason: Refutation
% 1.56/0.56
% 1.56/0.56 % (26406)Memory used [KB]: 5756
% 1.56/0.56 % (26406)Time elapsed: 0.146 s
% 1.56/0.56 % (26406)Instructions burned: 16 (million)
% 1.56/0.56 % (26406)------------------------------
% 1.56/0.56 % (26406)------------------------------
% 1.56/0.56 % (26381)Success in time 0.214 s
%------------------------------------------------------------------------------