TSTP Solution File: GRP252-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP252-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:02 EDT 2022
% Result : Unsatisfiable 1.55s 0.55s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 49
% Syntax : Number of formulae : 205 ( 4 unt; 0 def)
% Number of atoms : 671 ( 235 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 915 ( 449 ~; 447 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f708,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f65,f74,f79,f88,f93,f95,f96,f97,f109,f112,f118,f134,f135,f136,f137,f143,f144,f145,f148,f149,f151,f152,f153,f154,f155,f156,f213,f268,f333,f346,f353,f470,f482,f497,f499,f542,f553,f668,f707]) ).
fof(f707,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f701,f453]) ).
fof(f453,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_23 ),
inference(superposition,[],[f429,f354]) ).
fof(f354,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f51,f211]) ).
fof(f211,plain,
( sk_c9 = sk_c8
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl0_23
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f51,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f393,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f393,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_5
| ~ spl0_23 ),
inference(superposition,[],[f3,f375]) ).
fof(f375,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_5
| ~ spl0_23 ),
inference(superposition,[],[f2,f364]) ).
fof(f364,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f69,f211]) ).
fof(f69,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
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(f701,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f700,f1]) ).
fof(f700,plain,
( sk_c9 != multiply(sk_c9,multiply(identity,sk_c9))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f698]) ).
fof(f698,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(identity,sk_c9))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f555,f640]) ).
fof(f640,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_23 ),
inference(backward_demodulation,[],[f358,f629]) ).
fof(f629,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_23 ),
inference(superposition,[],[f613,f509]) ).
fof(f509,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_4
| ~ spl0_23 ),
inference(backward_demodulation,[],[f483,f211]) ).
fof(f483,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_4
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_23 ),
inference(backward_demodulation,[],[f515,f602]) ).
fof(f602,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_23 ),
inference(superposition,[],[f511,f515]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c9,X0)) = multiply(sk_c9,X0)
| ~ spl0_1
| ~ spl0_23 ),
inference(backward_demodulation,[],[f485,f211]) ).
fof(f485,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f515,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_5
| ~ spl0_23 ),
inference(backward_demodulation,[],[f492,f211]) ).
fof(f492,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f491,f1]) ).
fof(f491,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f484]) ).
fof(f484,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f69]) ).
fof(f358,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f64,f211]) ).
fof(f555,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(sk_c9,multiply(X9,sk_c9)) )
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f554,f211]) ).
fof(f554,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c9 != inverse(X9) )
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f130,f211]) ).
fof(f130,plain,
( ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_17
<=> ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f668,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f666]) ).
fof(f666,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f664,f1]) ).
fof(f664,plain,
( sk_c9 != multiply(identity,sk_c9)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f430,f630]) ).
fof(f630,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f613,f159]) ).
fof(f159,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_6
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f430,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f54,f211]) ).
fof(f54,plain,
( sk_c8 != multiply(sk_c2,sk_c9)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f553,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f552,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f551]) ).
fof(f551,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f548,f354]) ).
fof(f548,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f545]) ).
fof(f545,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| sk_c9 != sk_c9
| ~ spl0_5
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f543,f364]) ).
fof(f543,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c9) )
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f127,f211]) ).
fof(f127,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_16
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f542,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f540,f120,f90,f99]) ).
fof(f99,plain,
( spl0_11
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f90,plain,
( spl0_10
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f120,plain,
( spl0_14
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f540,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f539]) ).
fof(f539,plain,
( sk_c10 != inverse(sk_c4)
| sk_c9 != sk_c9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f121,f92]) ).
fof(f92,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f121,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f499,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f498,f120,f85,f58]) ).
fof(f58,plain,
( spl0_3
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f85,plain,
( spl0_9
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f498,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f185]) ).
fof(f185,plain,
( sk_c10 != inverse(sk_c1)
| sk_c9 != sk_c9
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f121,f87]) ).
fof(f87,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f497,plain,
( spl0_23
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f496,f115,f81,f62,f210]) ).
fof(f81,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f115,plain,
( spl0_13
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f496,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f493,f83]) ).
fof(f83,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f493,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f490,f117]) ).
fof(f117,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f490,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f489,f1]) ).
fof(f489,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f483]) ).
fof(f482,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f480,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f477,f354]) ).
fof(f477,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f474]) ).
fof(f474,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| sk_c9 != sk_c9
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f471,f364]) ).
fof(f471,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f133,f211]) ).
fof(f133,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_18
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f470,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f468,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f466,f354]) ).
fof(f466,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f461]) ).
fof(f461,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| sk_c9 != sk_c9
| ~ spl0_5
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f363,f364]) ).
fof(f363,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c9) )
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f362,f211]) ).
fof(f362,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) )
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f124,f211]) ).
fof(f124,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl0_15
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f353,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f351]) ).
fof(f351,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f350,f1]) ).
fof(f350,plain,
( sk_c9 != multiply(identity,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f349]) ).
fof(f349,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(identity,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f347,f314]) ).
fof(f314,plain,
( sk_c9 = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_23 ),
inference(backward_demodulation,[],[f73,f309]) ).
fof(f309,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_23 ),
inference(superposition,[],[f291,f159]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_23 ),
inference(backward_demodulation,[],[f167,f290]) ).
fof(f290,plain,
( ! [X1] : multiply(sk_c2,X1) = X1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f280,f169]) ).
fof(f169,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f168,f1]) ).
fof(f168,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f160]) ).
fof(f160,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_7
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f280,plain,
( ! [X1] : multiply(sk_c9,multiply(sk_c3,X1)) = multiply(sk_c2,X1)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23 ),
inference(backward_demodulation,[],[f229,f211]) ).
fof(f229,plain,
( ! [X1] : multiply(sk_c8,multiply(sk_c3,X1)) = multiply(sk_c2,X1)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f161,f169]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f55]) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f166,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f159]) ).
fof(f347,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f133,f211]) ).
fof(f346,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f343,f291]) ).
fof(f343,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f342,f1]) ).
fof(f342,plain,
( sk_c9 != multiply(sk_c9,multiply(identity,sk_c9))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f341]) ).
fof(f341,plain,
( sk_c9 != multiply(sk_c9,multiply(identity,sk_c9))
| sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f335,f314]) ).
fof(f335,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(sk_c9,multiply(X9,sk_c9)) )
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f334,f211]) ).
fof(f334,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f130,f211]) ).
fof(f333,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f331]) ).
fof(f331,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f330,f1]) ).
fof(f330,plain,
( sk_c9 != multiply(identity,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f329]) ).
fof(f329,plain,
( sk_c9 != multiply(identity,sk_c9)
| sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f304,f314]) ).
fof(f304,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c9) )
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f127,f211]) ).
fof(f268,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f267,f106,f85,f76,f58,f210]) ).
fof(f106,plain,
( spl0_12
<=> sk_c9 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f267,plain,
( sk_c9 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f266,f87]) ).
fof(f266,plain,
( multiply(sk_c1,sk_c10) = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f263,f178]) ).
fof(f178,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f169,f108]) ).
fof(f108,plain,
( sk_c9 = multiply(sk_c3,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f263,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f162,f170]) ).
fof(f170,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f165,f87]) ).
fof(f165,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f164,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f158]) ).
fof(f158,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_3 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_9 ),
inference(superposition,[],[f3,f87]) ).
fof(f213,plain,
( ~ spl0_23
| ~ spl0_12
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f208,f123,f76,f106,f210]) ).
fof(f208,plain,
( sk_c9 != multiply(sk_c3,sk_c8)
| sk_c9 != sk_c8
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f124,f78]) ).
fof(f156,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f115,f106]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f155,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f36,f81,f76]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f154,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f62,f71]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f153,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f115,f76]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f152,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f81,f58]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f151,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f90,f58]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f149,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f41,f49,f106]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f148,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f16,f115,f58]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f145,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f5,f99,f85]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f144,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f34,f49,f76]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f143,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f53,f67]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f137,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f12,f99,f58]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f136,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f43,f106,f81]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c3,sk_c8)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f135,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f38,f62,f76]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f134,plain,
( spl0_14
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f47,f132,f129,f126,f123,f120,f120]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c8 != inverse(X9)
| sk_c9 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X5,sk_c8)
| sk_c10 != inverse(X3)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X3,sk_c10) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,X8)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X7,sk_c8)
| multiply(X9,sk_c8) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f118,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f9,f85,f115]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f112,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f106,f67]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f109,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f106,f62]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f97,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f62,f53]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f96,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f27,f71,f49]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f95,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f10,f85,f62]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f93,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f4,f90,f85]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f88,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f8,f85,f81]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f79,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f35,f76,f67]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f74,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f71,f67]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f65,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f62,f58]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f53,f49]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP252-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n019.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 22:25:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (26442)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.50 % (26446)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.51 % (26470)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.51 % (26457)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.51 % (26443)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.51 % (26447)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52 % (26457)Instruction limit reached!
% 0.21/0.52 % (26457)------------------------------
% 0.21/0.52 % (26457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26450)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (26460)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.53 % (26450)Instruction limit reached!
% 0.21/0.53 % (26450)------------------------------
% 0.21/0.53 % (26450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26450)Termination reason: Unknown
% 0.21/0.53 % (26450)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (26450)Memory used [KB]: 5884
% 0.21/0.53 % (26450)Time elapsed: 0.003 s
% 0.21/0.53 % (26450)Instructions burned: 3 (million)
% 0.21/0.53 % (26450)------------------------------
% 0.21/0.53 % (26450)------------------------------
% 0.21/0.53 % (26457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26457)Termination reason: Unknown
% 0.21/0.53 % (26457)Termination phase: Finite model building preprocessing
% 0.21/0.53
% 0.21/0.53 % (26457)Memory used [KB]: 1535
% 0.21/0.53 % (26457)Time elapsed: 0.006 s
% 0.21/0.53 % (26457)Instructions burned: 7 (million)
% 0.21/0.53 % (26457)------------------------------
% 0.21/0.53 % (26457)------------------------------
% 0.21/0.53 % (26471)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.53 % (26456)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.53 % (26453)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.53 % (26467)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.53 % (26445)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (26444)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.53 % (26444)Instruction limit reached!
% 0.21/0.53 % (26444)------------------------------
% 0.21/0.53 % (26444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26444)Termination reason: Unknown
% 0.21/0.53 % (26444)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (26444)Memory used [KB]: 5884
% 0.21/0.53 % (26444)Time elapsed: 0.003 s
% 0.21/0.53 % (26444)Instructions burned: 5 (million)
% 0.21/0.53 % (26444)------------------------------
% 0.21/0.53 % (26444)------------------------------
% 0.21/0.53 % (26455)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (26464)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (26451)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (26452)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (26455)Instruction limit reached!
% 0.21/0.54 % (26455)------------------------------
% 0.21/0.54 % (26455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26455)Termination reason: Unknown
% 0.21/0.54 % (26455)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (26455)Memory used [KB]: 5884
% 0.21/0.54 % (26455)Time elapsed: 0.003 s
% 0.21/0.54 % (26455)Instructions burned: 4 (million)
% 0.21/0.54 % (26455)------------------------------
% 0.21/0.54 % (26455)------------------------------
% 0.21/0.54 % (26452)Instruction limit reached!
% 0.21/0.54 % (26452)------------------------------
% 0.21/0.54 % (26452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26446)Instruction limit reached!
% 0.21/0.54 % (26446)------------------------------
% 0.21/0.54 % (26446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26454)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.54 % (26458)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (26458)Instruction limit reached!
% 0.21/0.54 % (26458)------------------------------
% 0.21/0.54 % (26458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26458)Termination reason: Unknown
% 0.21/0.54 % (26458)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (26458)Memory used [KB]: 1279
% 0.21/0.54 % (26458)Time elapsed: 0.002 s
% 0.21/0.54 % (26458)Instructions burned: 2 (million)
% 0.21/0.54 % (26458)------------------------------
% 0.21/0.54 % (26458)------------------------------
% 0.21/0.54 % (26463)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.54 % (26469)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.54 % (26454)Instruction limit reached!
% 0.21/0.54 % (26454)------------------------------
% 0.21/0.54 % (26454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26452)Termination reason: Unknown
% 0.21/0.54 % (26452)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (26452)Memory used [KB]: 5884
% 0.21/0.54 % (26462)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (26452)Time elapsed: 0.123 s
% 0.21/0.54 % (26452)Instructions burned: 6 (million)
% 0.21/0.54 % (26452)------------------------------
% 0.21/0.54 % (26452)------------------------------
% 0.21/0.54 % (26472)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (26460)First to succeed.
% 0.21/0.55 % (26459)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.55 % (26462)Instruction limit reached!
% 1.55/0.55 % (26462)------------------------------
% 1.55/0.55 % (26462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (26462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (26462)Termination reason: Unknown
% 1.55/0.55 % (26462)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (26462)Memory used [KB]: 1407
% 1.55/0.55 % (26462)Time elapsed: 0.004 s
% 1.55/0.55 % (26462)Instructions burned: 7 (million)
% 1.55/0.55 % (26462)------------------------------
% 1.55/0.55 % (26462)------------------------------
% 1.55/0.55 % (26460)Refutation found. Thanks to Tanya!
% 1.55/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.55 % (26460)------------------------------
% 1.55/0.55 % (26460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (26460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (26460)Termination reason: Refutation
% 1.55/0.55
% 1.55/0.55 % (26460)Memory used [KB]: 10746
% 1.55/0.55 % (26460)Time elapsed: 0.131 s
% 1.55/0.55 % (26460)Instructions burned: 22 (million)
% 1.55/0.55 % (26460)------------------------------
% 1.55/0.55 % (26460)------------------------------
% 1.55/0.55 % (26440)Success in time 0.191 s
%------------------------------------------------------------------------------