TSTP Solution File: GRP287-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP287-1 : 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 : n005.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 16:21:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 58
% Syntax : Number of formulae : 228 ( 6 unt; 0 def)
% Number of atoms : 737 ( 242 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 975 ( 466 ~; 480 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f58,f67,f76,f77,f78,f83,f84,f85,f86,f87,f95,f103,f104,f105,f113,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f141,f165,f166,f202,f243,f267,f269,f274,f308,f388,f395,f421,f426,f441,f463,f489,f517,f522,f536,f537,f584,f589,f606]) ).
fof(f606,plain,
( ~ spl3_7
| ~ spl3_24
| ~ spl3_26
| spl3_27 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl3_7
| ~ spl3_24
| ~ spl3_26
| spl3_27 ),
inference(trivial_inequality_removal,[],[f604]) ).
fof(f604,plain,
( identity != identity
| ~ spl3_7
| ~ spl3_24
| ~ spl3_26
| spl3_27 ),
inference(superposition,[],[f548,f574]) ).
fof(f574,plain,
( identity = inverse(identity)
| ~ spl3_7
| ~ spl3_24
| ~ spl3_26 ),
inference(backward_demodulation,[],[f553,f572]) ).
fof(f572,plain,
( identity = sk_c3
| ~ spl3_7
| ~ spl3_24
| ~ spl3_26 ),
inference(forward_demodulation,[],[f563,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f563,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_7
| ~ spl3_24
| ~ spl3_26 ),
inference(backward_demodulation,[],[f487,f424]) ).
fof(f424,plain,
( identity = sk_c7
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl3_26
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f487,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f453,f413]) ).
fof(f413,plain,
( sk_c7 = sk_c6
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f412,plain,
( spl3_24
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f453,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl3_7 ),
inference(superposition,[],[f174,f379]) ).
fof(f379,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl3_7 ),
inference(superposition,[],[f2,f66]) ).
fof(f66,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_7
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f174,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f169,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f169,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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f553,plain,
( identity = inverse(sk_c3)
| ~ spl3_7
| ~ spl3_24
| ~ spl3_26 ),
inference(backward_demodulation,[],[f470,f424]) ).
fof(f470,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f66,f413]) ).
fof(f548,plain,
( identity != inverse(identity)
| ~ spl3_26
| spl3_27 ),
inference(backward_demodulation,[],[f440,f424]) ).
fof(f440,plain,
( sk_c7 != inverse(identity)
| spl3_27 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl3_27
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f589,plain,
( ~ spl3_21
| ~ spl3_7
| spl3_18
| ~ spl3_24
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f588,f423,f412,f134,f64,f147]) ).
fof(f147,plain,
( spl3_21
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f134,plain,
( spl3_18
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f588,plain,
( identity != sk_c6
| ~ spl3_7
| spl3_18
| ~ spl3_24
| ~ spl3_26 ),
inference(forward_demodulation,[],[f136,f574]) ).
fof(f136,plain,
( sk_c6 != inverse(identity)
| spl3_18 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f584,plain,
( ~ spl3_21
| ~ spl3_7
| spl3_20
| ~ spl3_23
| ~ spl3_24
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f583,f423,f412,f162,f143,f64,f147]) ).
fof(f143,plain,
( spl3_20
<=> sk_c6 = inverse(inverse(sk_c5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f162,plain,
( spl3_23
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f583,plain,
( identity != sk_c6
| ~ spl3_7
| spl3_20
| ~ spl3_23
| ~ spl3_24
| ~ spl3_26 ),
inference(forward_demodulation,[],[f582,f574]) ).
fof(f582,plain,
( sk_c6 != inverse(identity)
| ~ spl3_7
| spl3_20
| ~ spl3_23
| ~ spl3_24
| ~ spl3_26 ),
inference(forward_demodulation,[],[f581,f574]) ).
fof(f581,plain,
( sk_c6 != inverse(inverse(identity))
| spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f145,f163]) ).
fof(f163,plain,
( identity = sk_c5
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f145,plain,
( sk_c6 != inverse(inverse(sk_c5))
| spl3_20 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f537,plain,
( ~ spl3_6
| ~ spl3_3
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f436,f93,f46,f60]) ).
fof(f60,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f46,plain,
( spl3_3
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f93,plain,
( spl3_12
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f436,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl3_3
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f435]) ).
fof(f435,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl3_3
| ~ spl3_12 ),
inference(superposition,[],[f94,f48]) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f94,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f536,plain,
( ~ spl3_4
| ~ spl3_5
| spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f535,plain,
( $false
| ~ spl3_4
| ~ spl3_5
| spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f533]) ).
fof(f533,plain,
( sk_c7 != sk_c7
| ~ spl3_4
| ~ spl3_5
| spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(superposition,[],[f531,f474]) ).
fof(f474,plain,
( sk_c7 = sk_c5
| ~ spl3_19
| ~ spl3_24 ),
inference(backward_demodulation,[],[f139,f413]) ).
fof(f139,plain,
( sk_c6 = sk_c5
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl3_19
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f531,plain,
( sk_c7 != sk_c5
| ~ spl3_4
| ~ spl3_5
| spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f530,f483]) ).
fof(f483,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_5
| ~ spl3_19
| ~ spl3_24 ),
inference(backward_demodulation,[],[f401,f413]) ).
fof(f401,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f399,f57]) ).
fof(f57,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f399,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_4
| ~ spl3_19 ),
inference(superposition,[],[f174,f390]) ).
fof(f390,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl3_4
| ~ spl3_19 ),
inference(backward_demodulation,[],[f52,f139]) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f530,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl3_10
| ~ spl3_24 ),
inference(backward_demodulation,[],[f81,f413]) ).
fof(f81,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl3_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_10
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f522,plain,
( spl3_21
| ~ spl3_24
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f491,f423,f412,f147]) ).
fof(f491,plain,
( identity = sk_c6
| ~ spl3_24
| ~ spl3_26 ),
inference(backward_demodulation,[],[f413,f424]) ).
fof(f517,plain,
( spl3_23
| ~ spl3_19
| ~ spl3_24
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f501,f423,f412,f138,f162]) ).
fof(f501,plain,
( identity = sk_c5
| ~ spl3_19
| ~ spl3_24
| ~ spl3_26 ),
inference(backward_demodulation,[],[f474,f424]) ).
fof(f489,plain,
( spl3_26
| ~ spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f488,f412,f138,f80,f423]) ).
fof(f488,plain,
( identity = sk_c7
| ~ spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f482,f2]) ).
fof(f482,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_10
| ~ spl3_19
| ~ spl3_24 ),
inference(backward_demodulation,[],[f394,f413]) ).
fof(f394,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_10
| ~ spl3_19 ),
inference(backward_demodulation,[],[f186,f139]) ).
fof(f186,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl3_10 ),
inference(superposition,[],[f174,f82]) ).
fof(f82,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f463,plain,
( spl3_24
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f462,f138,f64,f55,f50,f37,f412]) ).
fof(f37,plain,
( spl3_1
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f462,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f460,f39]) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f460,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_19 ),
inference(backward_demodulation,[],[f390,f456]) ).
fof(f456,plain,
( sk_c3 = sk_c4
| ~ spl3_5
| ~ spl3_7 ),
inference(backward_demodulation,[],[f442,f453]) ).
fof(f442,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl3_5 ),
inference(superposition,[],[f174,f377]) ).
fof(f377,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl3_5 ),
inference(superposition,[],[f2,f57]) ).
fof(f441,plain,
( ~ spl3_24
| ~ spl3_27
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f432,f93,f438,f412]) ).
fof(f432,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl3_12 ),
inference(superposition,[],[f94,f1]) ).
fof(f426,plain,
( ~ spl3_22
| ~ spl3_26
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f406,f115,f423,f158]) ).
fof(f158,plain,
( spl3_22
<=> sk_c6 = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f115,plain,
( spl3_17
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f406,plain,
( identity != sk_c7
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_17 ),
inference(superposition,[],[f116,f2]) ).
fof(f116,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f421,plain,
( ~ spl3_7
| ~ spl3_1
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f410,f115,f37,f64]) ).
fof(f410,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl3_1
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f408]) ).
fof(f408,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c3)
| ~ spl3_1
| ~ spl3_17 ),
inference(superposition,[],[f116,f39]) ).
fof(f395,plain,
( spl3_22
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f392,f143,f138,f158]) ).
fof(f392,plain,
( sk_c6 = inverse(inverse(sk_c6))
| ~ spl3_19
| ~ spl3_20 ),
inference(backward_demodulation,[],[f144,f139]) ).
fof(f144,plain,
( sk_c6 = inverse(inverse(sk_c5))
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f388,plain,
( spl3_19
| ~ spl3_1
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f387,f69,f64,f37,f138]) ).
fof(f69,plain,
( spl3_8
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f387,plain,
( sk_c6 = sk_c5
| ~ spl3_1
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_demodulation,[],[f71,f384]) ).
fof(f384,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_7 ),
inference(forward_demodulation,[],[f382,f66]) ).
fof(f382,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_1 ),
inference(superposition,[],[f174,f39]) ).
fof(f71,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f308,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f306]) ).
fof(f306,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(superposition,[],[f304,f224]) ).
fof(f224,plain,
( identity = inverse(identity)
| ~ spl3_9
| ~ spl3_21 ),
inference(backward_demodulation,[],[f206,f222]) ).
fof(f222,plain,
( identity = sk_c2
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f211,f2]) ).
fof(f211,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl3_9
| ~ spl3_21 ),
inference(backward_demodulation,[],[f188,f148]) ).
fof(f148,plain,
( identity = sk_c6
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f188,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl3_9 ),
inference(superposition,[],[f174,f130]) ).
fof(f130,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl3_9 ),
inference(superposition,[],[f2,f75]) ).
fof(f75,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_9
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f206,plain,
( identity = inverse(sk_c2)
| ~ spl3_9
| ~ spl3_21 ),
inference(backward_demodulation,[],[f75,f148]) ).
fof(f304,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(superposition,[],[f299,f1]) ).
fof(f299,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f298,f148]) ).
fof(f298,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c6 != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f297,f228]) ).
fof(f228,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f212,f226]) ).
fof(f226,plain,
( ! [X10] : multiply(sk_c7,X10) = X10
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f225,f1]) ).
fof(f225,plain,
( ! [X10] : multiply(sk_c7,X10) = multiply(identity,X10)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(backward_demodulation,[],[f219,f222]) ).
fof(f219,plain,
( ! [X10] : multiply(sk_c2,X10) = multiply(sk_c7,X10)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f214,f1]) ).
fof(f214,plain,
( ! [X10] : multiply(sk_c2,multiply(identity,X10)) = multiply(sk_c7,X10)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10
| ~ spl3_21 ),
inference(backward_demodulation,[],[f195,f148]) ).
fof(f195,plain,
( ! [X10] : multiply(sk_c2,multiply(sk_c6,X10)) = multiply(sk_c7,X10)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f172,f193]) ).
fof(f193,plain,
( sk_c7 = sk_c5
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f82,f192]) ).
fof(f192,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_3
| ~ spl3_6 ),
inference(forward_demodulation,[],[f189,f62]) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f189,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_3 ),
inference(superposition,[],[f174,f48]) ).
fof(f172,plain,
( ! [X10] : multiply(sk_c5,X10) = multiply(sk_c2,multiply(sk_c6,X10))
| ~ spl3_2 ),
inference(superposition,[],[f3,f43]) ).
fof(f43,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl3_2
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f212,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl3_3
| ~ spl3_6
| ~ spl3_21 ),
inference(backward_demodulation,[],[f192,f148]) ).
fof(f297,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f116,f148]) ).
fof(f274,plain,
( ~ spl3_23
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f273,f147,f80,f73,f69,f60,f46,f41,f162]) ).
fof(f273,plain,
( identity != sk_c5
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f272,f1]) ).
fof(f272,plain,
( sk_c5 != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f271,f148]) ).
fof(f271,plain,
( sk_c5 != multiply(sk_c6,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f70,f228]) ).
fof(f70,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl3_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f269,plain,
( ~ spl3_21
| spl3_19
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f268,f162,f138,f147]) ).
fof(f268,plain,
( identity != sk_c6
| spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f140,f163]) ).
fof(f140,plain,
( sk_c6 != sk_c5
| spl3_19 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f267,plain,
( ~ spl3_9
| spl3_18
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| ~ spl3_9
| spl3_18
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f265,plain,
( identity != identity
| ~ spl3_9
| spl3_18
| ~ spl3_21 ),
inference(superposition,[],[f208,f224]) ).
fof(f208,plain,
( identity != inverse(identity)
| spl3_18
| ~ spl3_21 ),
inference(backward_demodulation,[],[f136,f148]) ).
fof(f243,plain,
( spl3_23
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f233,f147,f80,f73,f60,f46,f41,f162]) ).
fof(f233,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_21 ),
inference(backward_demodulation,[],[f193,f228]) ).
fof(f202,plain,
( spl3_21
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f201,f80,f60,f46,f147]) ).
fof(f201,plain,
( identity = sk_c6
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10 ),
inference(forward_demodulation,[],[f200,f2]) ).
fof(f200,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10 ),
inference(forward_demodulation,[],[f186,f193]) ).
fof(f166,plain,
( ~ spl3_9
| ~ spl3_2
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f155,f107,f41,f73]) ).
fof(f107,plain,
( spl3_15
<=> ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f155,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl3_2
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f154]) ).
fof(f154,plain,
( sk_c6 != inverse(sk_c2)
| sk_c5 != sk_c5
| ~ spl3_2
| ~ spl3_15 ),
inference(superposition,[],[f108,f43]) ).
fof(f108,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f165,plain,
( ~ spl3_22
| ~ spl3_23
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f152,f107,f162,f158]) ).
fof(f152,plain,
( identity != sk_c5
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_15 ),
inference(superposition,[],[f108,f2]) ).
fof(f141,plain,
( ~ spl3_18
| ~ spl3_19
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f131,f97,f138,f134]) ).
fof(f97,plain,
( spl3_13
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f131,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(identity)
| ~ spl3_13 ),
inference(superposition,[],[f98,f1]) ).
fof(f98,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f128,plain,
( spl3_1
| spl3_9 ),
inference(avatar_split_clause,[],[f25,f73,f37]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f127,plain,
( spl3_2
| spl3_7 ),
inference(avatar_split_clause,[],[f21,f64,f41]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f126,plain,
( spl3_10
| spl3_7 ),
inference(avatar_split_clause,[],[f6,f64,f80]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f125,plain,
( spl3_6
| spl3_4 ),
inference(avatar_split_clause,[],[f18,f50,f60]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f124,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f15,f60,f37]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f123,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f11,f46,f64]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f122,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f19,f69,f41]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f121,plain,
( spl3_10
| spl3_4 ),
inference(avatar_split_clause,[],[f8,f50,f80]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f120,plain,
( spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f22,f55,f41]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f119,plain,
( spl3_8
| spl3_3 ),
inference(avatar_split_clause,[],[f9,f46,f69]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f118,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f10,f46,f37]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f117,plain,
( ~ spl3_16
| ~ spl3_8
| ~ spl3_11
| ~ spl3_10
| ~ spl3_14
| spl3_17 ),
inference(avatar_split_clause,[],[f35,f115,f100,f80,f89,f69,f110]) ).
fof(f110,plain,
( spl3_16
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f89,plain,
( spl3_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f100,plain,
( spl3_14
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f35,plain,
! [X5] :
( sk_c6 != inverse(X5)
| ~ sP1
| multiply(sk_c7,sk_c6) != sk_c5
| ~ sP0
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP2 ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f34,plain,
! [X4] :
( sP2
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f33,plain,
! [X4,X5] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != inverse(X5)
| sk_c5 != multiply(sk_c6,sk_c7)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f32,plain,
! [X6] :
( sP1
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X6,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,sk_c7)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sP0 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f113,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f34,f110,f107]) ).
fof(f105,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f26,f64,f73]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f104,plain,
( spl3_9
| spl3_4 ),
inference(avatar_split_clause,[],[f28,f50,f73]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f103,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f32,f100,f97]) ).
fof(f95,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f30,f93,f89]) ).
fof(f87,plain,
( spl3_10
| spl3_8 ),
inference(avatar_split_clause,[],[f4,f69,f80]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f86,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f14,f69,f60]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f85,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f27,f55,f73]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f84,plain,
( spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f5,f37,f80]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f83,plain,
( spl3_10
| spl3_5 ),
inference(avatar_split_clause,[],[f7,f55,f80]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f78,plain,
( spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f23,f41,f50]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f77,plain,
( spl3_6
| spl3_5 ),
inference(avatar_split_clause,[],[f17,f55,f60]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f76,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f24,f73,f69]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f67,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f16,f64,f60]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f58,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f12,f55,f46]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f53,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f13,f50,f46]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f44,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f41,f37]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP287-1 : 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:25:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (20290)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (20310)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)
% 0.20/0.50 % (20301)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)
% 0.20/0.51 % (20307)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)
% 0.20/0.51 % (20295)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 % (20313)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 % (20286)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)
% 0.20/0.51 % (20288)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.52 % (20296)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (20287)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)
% 0.20/0.53 % (20291)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 % (20298)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 % (20289)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)
% 0.20/0.53 % (20294)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (20292)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (20315)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (20316)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (20314)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (20308)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (20304)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (20311)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (20297)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (20303)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)
% 0.20/0.54 % (20312)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (20300)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)
% 0.20/0.55 % (20299)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (20306)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)
% 0.20/0.55 % (20309)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)
% 0.20/0.55 % (20305)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (20294)Instruction limit reached!
% 0.20/0.55 % (20294)------------------------------
% 0.20/0.55 % (20294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20294)Termination reason: Unknown
% 0.20/0.55 % (20294)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (20294)Memory used [KB]: 5373
% 0.20/0.55 % (20294)Time elapsed: 0.002 s
% 0.20/0.55 % (20294)Instructions burned: 2 (million)
% 0.20/0.55 % (20294)------------------------------
% 0.20/0.55 % (20294)------------------------------
% 0.20/0.56 % (20290)Instruction limit reached!
% 0.20/0.56 % (20290)------------------------------
% 0.20/0.56 % (20290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20293)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (20293)Instruction limit reached!
% 0.20/0.56 % (20293)------------------------------
% 0.20/0.56 % (20293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20293)Termination reason: Unknown
% 0.20/0.56 % (20293)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (20293)Memory used [KB]: 5500
% 0.20/0.56 % (20293)Time elapsed: 0.164 s
% 0.20/0.56 % (20293)Instructions burned: 7 (million)
% 0.20/0.56 % (20293)------------------------------
% 0.20/0.56 % (20293)------------------------------
% 0.20/0.56 TRYING [4]
% 0.20/0.57 % (20296)First to succeed.
% 0.20/0.57 % (20296)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (20296)------------------------------
% 0.20/0.57 % (20296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20296)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (20296)Memory used [KB]: 5756
% 0.20/0.57 % (20296)Time elapsed: 0.174 s
% 0.20/0.57 % (20296)Instructions burned: 17 (million)
% 0.20/0.57 % (20296)------------------------------
% 0.20/0.57 % (20296)------------------------------
% 0.20/0.57 % (20284)Success in time 0.218 s
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