TSTP Solution File: GRP229-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP229-1 : 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 : n001.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 16:14:57 EDT 2022
% Result : Unsatisfiable 1.70s 0.57s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 45
% Syntax : Number of formulae : 197 ( 6 unt; 0 def)
% Number of atoms : 890 ( 230 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1355 ( 662 ~; 680 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f643,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f50,f55,f64,f69,f70,f71,f76,f77,f82,f88,f89,f90,f91,f96,f97,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f115,f116,f117,f255,f275,f283,f425,f479,f564,f628,f642]) ).
fof(f642,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f640]) ).
fof(f640,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f639,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f639,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f638,f1]) ).
fof(f638,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f637]) ).
fof(f637,plain,
( identity != multiply(identity,multiply(identity,identity))
| identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f631,f529]) ).
fof(f529,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f336,f517]) ).
fof(f517,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f328,f516]) ).
fof(f516,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f308,f332]) ).
fof(f332,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f287,f328]) ).
fof(f287,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_7
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f308,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f306,f86]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f306,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f131,f95]) ).
fof(f95,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_11
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f131,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f122,f1]) ).
fof(f122,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(f328,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[],[f54,f296]) ).
fof(f296,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f294,f59]) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f294,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f131,f40]) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f336,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f68,f328]) ).
fof(f631,plain,
( ! [X8] :
( identity != inverse(X8)
| identity != multiply(identity,multiply(X8,identity)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f630,f516]) ).
fof(f630,plain,
( ! [X8] :
( sk_c7 != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f629,f517]) ).
fof(f629,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(identity,multiply(X8,identity)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f111,f517]) ).
fof(f111,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_12
<=> ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f628,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f626]) ).
fof(f626,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f625,f1]) ).
fof(f625,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f597,f529]) ).
fof(f597,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f596,f517]) ).
fof(f596,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f499,f517]) ).
fof(f499,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c8) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f328]) ).
fof(f114,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_13
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f564,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f563,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f562]) ).
fof(f562,plain,
( identity != identity
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f560,f1]) ).
fof(f560,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f531,f553]) ).
fof(f553,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f523,f1]) ).
fof(f523,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f118,f517]) ).
fof(f118,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f75]) ).
fof(f75,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_8
<=> inverse(sk_c1) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f531,plain,
( identity != multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f489,f517]) ).
fof(f489,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f43,f328]) ).
fof(f43,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f479,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f477,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f476,f1]) ).
fof(f476,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f475,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f470,f370]) ).
fof(f370,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f336,f356]) ).
fof(f356,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f328,f355]) ).
fof(f355,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f299,f332]) ).
fof(f299,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f297,f75]) ).
fof(f297,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f131,f44]) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f470,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f469,f356]) ).
fof(f469,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f468,f355]) ).
fof(f468,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f356]) ).
fof(f425,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f423]) ).
fof(f423,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f391,f421]) ).
fof(f421,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f419,f1]) ).
fof(f419,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f357,f412]) ).
fof(f412,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f363,f1]) ).
fof(f363,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f119,f356]) ).
fof(f119,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f357,plain,
( sk_c3 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f49,f356]) ).
fof(f49,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_3
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f391,plain,
( identity != sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f368,f1]) ).
fof(f368,plain,
( identity != multiply(identity,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f334,f356]) ).
fof(f334,plain,
( sk_c8 != multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(backward_demodulation,[],[f62,f328]) ).
fof(f62,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f283,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f280,f1]) ).
fof(f280,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f279]) ).
fof(f279,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f278,f249]) ).
fof(f249,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f196,f241]) ).
fof(f241,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f239,f2]) ).
fof(f239,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f131,f146]) ).
fof(f146,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f133,f144]) ).
fof(f144,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f63,f141]) ).
fof(f141,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f132,f49]) ).
fof(f132,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c2,X11)) = X11
| ~ spl0_9 ),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f126,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c2,X11))
| ~ spl0_9 ),
inference(superposition,[],[f3,f119]) ).
fof(f63,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f133,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f130,f44]) ).
fof(f130,plain,
( ! [X10] : multiply(sk_c8,multiply(sk_c1,X10)) = X10
| ~ spl0_8 ),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f125,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c8,multiply(sk_c1,X10))
| ~ spl0_8 ),
inference(superposition,[],[f3,f118]) ).
fof(f196,plain,
( sk_c8 = inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f75,f184]) ).
fof(f184,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f179,f118]) ).
fof(f179,plain,
( ! [X10] : multiply(sk_c8,X10) = X10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f130,f167]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f147,f130]) ).
fof(f147,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c8,X8)) = multiply(sk_c8,X8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f123,f144]) ).
fof(f123,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c7,X8)) = multiply(sk_c8,X8)
| ~ spl0_2 ),
inference(superposition,[],[f3,f44]) ).
fof(f278,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f277,f241]) ).
fof(f277,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f276,f241]) ).
fof(f276,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f245]) ).
fof(f245,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f144,f241]) ).
fof(f275,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f273]) ).
fof(f273,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f272,f1]) ).
fof(f272,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f271,f1]) ).
fof(f271,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f259,f249]) ).
fof(f259,plain,
( ! [X8] :
( identity != inverse(X8)
| identity != multiply(identity,multiply(X8,identity)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f258,f245]) ).
fof(f258,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(identity,multiply(X8,identity)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f257,f241]) ).
fof(f257,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| identity != inverse(X8) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f111,f241]) ).
fof(f255,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f251,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f247,f249]) ).
fof(f247,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f149,f241]) ).
fof(f149,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f67,f144]) ).
fof(f67,plain,
( inverse(sk_c8) != sk_c7
| spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f117,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f84,f42]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f116,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f30,f79,f93]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f115,plain,
( spl0_12
| spl0_12
| ~ spl0_7
| spl0_13
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f113,f113,f66,f110,f110]) ).
fof(f36,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X8) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,X7)
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X3,sk_c7)
| multiply(X8,sk_c8) != X7
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f108,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f23,f84,f47]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f107,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f32,f38,f79]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f106,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f66,f47]) ).
fof(f22,axiom,
( inverse(sk_c8) = sk_c7
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f105,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f31,f79,f52]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f104,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f27,f47,f57]) ).
fof(f27,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f103,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f29,f84,f79]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f102,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f6,f73,f93]) ).
fof(f6,axiom,
( inverse(sk_c1) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f101,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f4,f66,f73]) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f100,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f42,f93]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f99,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f52,f42]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f97,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f61,f52]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f96,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f24,f47,f93]) ).
fof(f24,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f91,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f33,f79,f57]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f90,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f57,f73]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f89,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f7,f73,f52]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f88,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f5,f73,f84]) ).
fof(f5,axiom,
( inverse(sk_c1) = sk_c8
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f82,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f79,f66]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f77,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f20,f38,f61]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f76,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f8,f73,f38]) ).
fof(f8,axiom,
( inverse(sk_c1) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f71,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f61,f66]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f70,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f57,f42]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f69,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f66,f42]) ).
fof(f10,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f64,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f61,f57]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f55,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f52,f47]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f50,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f26,f38,f47]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f42,f38]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP229-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % 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 : n001.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 22:43:00 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (2160)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (2163)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)
% 0.20/0.51 % (2178)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)
% 0.20/0.52 % (2173)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)
% 0.20/0.52 % (2182)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)
% 0.20/0.52 % (2174)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)
% 0.20/0.52 % (2161)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)
% 0.20/0.52 % (2173)Instruction limit reached!
% 0.20/0.52 % (2173)------------------------------
% 0.20/0.52 % (2173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2167)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (2164)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)
% 0.20/0.53 % (2162)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)
% 0.20/0.53 % (2164)Refutation not found, incomplete strategy% (2164)------------------------------
% 0.20/0.53 % (2164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2164)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2164)Memory used [KB]: 5884
% 0.20/0.53 % (2164)Time elapsed: 0.135 s
% 0.20/0.53 % (2164)Instructions burned: 4 (million)
% 0.20/0.53 % (2164)------------------------------
% 0.20/0.53 % (2164)------------------------------
% 0.20/0.53 % (2189)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)
% 0.20/0.53 % (2183)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (2162)Instruction limit reached!
% 0.20/0.53 % (2162)------------------------------
% 0.20/0.53 % (2162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2162)Termination reason: Unknown
% 0.20/0.53 % (2162)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (2162)Memory used [KB]: 5884
% 0.20/0.53 % (2162)Time elapsed: 0.134 s
% 0.20/0.53 % (2162)Instructions burned: 6 (million)
% 0.20/0.53 % (2162)------------------------------
% 0.20/0.53 % (2162)------------------------------
% 0.20/0.53 % (2173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2173)Termination reason: Unknown
% 0.20/0.53 % (2173)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (2173)Memory used [KB]: 5884
% 0.20/0.53 % (2173)Time elapsed: 0.004 s
% 0.20/0.53 % (2173)Instructions burned: 3 (million)
% 0.20/0.53 % (2173)------------------------------
% 0.20/0.53 % (2173)------------------------------
% 0.20/0.53 % (2183)Refutation not found, incomplete strategy% (2183)------------------------------
% 0.20/0.53 % (2183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2183)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2183)Memory used [KB]: 5884
% 0.20/0.53 % (2183)Time elapsed: 0.137 s
% 0.20/0.53 % (2183)Instructions burned: 2 (million)
% 0.20/0.53 % (2183)------------------------------
% 0.20/0.53 % (2183)------------------------------
% 0.20/0.53 % (2165)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (2176)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)
% 0.20/0.53 % (2163)Refutation not found, incomplete strategy% (2163)------------------------------
% 0.20/0.53 % (2163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2163)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2163)Memory used [KB]: 6012
% 0.20/0.53 % (2163)Time elapsed: 0.138 s
% 0.20/0.53 % (2163)Instructions burned: 6 (million)
% 0.20/0.53 % (2163)------------------------------
% 0.20/0.53 % (2163)------------------------------
% 0.20/0.53 % (2172)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)
% 0.20/0.53 % (2176)Instruction limit reached!
% 0.20/0.53 % (2176)------------------------------
% 0.20/0.53 % (2176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2176)Termination reason: Unknown
% 0.20/0.53 % (2176)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (2176)Memory used [KB]: 5884
% 0.20/0.53 % (2176)Time elapsed: 0.003 s
% 0.20/0.53 % (2176)Instructions burned: 3 (million)
% 0.20/0.53 % (2176)------------------------------
% 0.20/0.53 % (2176)------------------------------
% 0.20/0.54 % (2188)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)
% 0.20/0.54 % (2181)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)
% 0.20/0.54 % (2179)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (2175)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)
% 0.20/0.54 % (2172)Instruction limit reached!
% 0.20/0.54 % (2172)------------------------------
% 0.20/0.54 % (2172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2172)Termination reason: Unknown
% 0.20/0.54 % (2172)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2172)Memory used [KB]: 6012
% 0.20/0.54 % (2172)Time elapsed: 0.134 s
% 0.20/0.54 % (2172)Instructions burned: 7 (million)
% 0.20/0.54 % (2172)------------------------------
% 0.20/0.54 % (2172)------------------------------
% 0.20/0.54 % (2184)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)
% 0.20/0.54 % (2178)Refutation not found, incomplete strategy% (2178)------------------------------
% 0.20/0.54 % (2178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2178)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (2178)Memory used [KB]: 10490
% 0.20/0.54 % (2178)Time elapsed: 0.140 s
% 0.20/0.54 % (2178)Instructions burned: 6 (million)
% 0.20/0.54 % (2178)------------------------------
% 0.20/0.54 % (2178)------------------------------
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (2175)Instruction limit reached!
% 0.20/0.54 % (2175)------------------------------
% 0.20/0.54 % (2175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2175)Termination reason: Unknown
% 0.20/0.54 % (2175)Termination phase: Finite model building constraint generation
% 0.20/0.54
% 0.20/0.54 % (2175)Memory used [KB]: 6012
% 0.20/0.54 % (2175)Time elapsed: 0.004 s
% 0.20/0.54 % (2175)Instructions burned: 8 (million)
% 0.20/0.54 % (2175)------------------------------
% 0.20/0.54 % (2175)------------------------------
% 0.20/0.54 % (2186)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)
% 0.20/0.54 % (2180)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)
% 0.20/0.54 % (2185)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54 % (2168)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)
% 0.20/0.54 % (2170)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)
% 0.20/0.54 % (2168)Instruction limit reached!
% 0.20/0.54 % (2168)------------------------------
% 0.20/0.54 % (2168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2180)Instruction limit reached!
% 0.20/0.54 % (2180)------------------------------
% 0.20/0.54 % (2180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2168)Termination reason: Unknown
% 0.20/0.54 % (2180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2168)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2180)Termination reason: Unknown
% 0.20/0.54 % (2180)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2168)Memory used [KB]: 5884
% 0.20/0.54 % (2168)Time elapsed: 0.002 s
% 0.20/0.54 % (2180)Memory used [KB]: 1407
% 0.20/0.54 % (2168)Instructions burned: 3 (million)
% 0.20/0.54 % (2180)Time elapsed: 0.149 s
% 0.20/0.54 % (2168)------------------------------
% 0.20/0.54 % (2168)------------------------------
% 0.20/0.54 % (2180)Instructions burned: 6 (million)
% 0.20/0.54 % (2180)------------------------------
% 0.20/0.54 % (2180)------------------------------
% 0.20/0.54 % (2166)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (2171)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)
% 0.20/0.54 % (2170)Instruction limit reached!
% 0.20/0.54 % (2170)------------------------------
% 0.20/0.54 % (2170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2170)Termination reason: Unknown
% 0.20/0.54 % (2170)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2170)Memory used [KB]: 5884
% 0.20/0.54 % (2170)Time elapsed: 0.152 s
% 0.20/0.54 % (2170)Instructions burned: 6 (million)
% 0.20/0.54 % (2170)------------------------------
% 0.20/0.54 % (2170)------------------------------
% 0.20/0.55 % (2169)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)
% 0.20/0.55 % (2177)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55 % (2187)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)
% 0.20/0.55 % (2182)Refutation not found, incomplete strategy% (2182)------------------------------
% 0.20/0.55 % (2182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2182)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (2182)Memory used [KB]: 6012
% 0.20/0.55 % (2182)Time elapsed: 0.116 s
% 0.20/0.55 % (2182)Instructions burned: 15 (million)
% 0.20/0.55 % (2182)------------------------------
% 0.20/0.55 % (2182)------------------------------
% 0.20/0.56 % (2179)Instruction limit reached!
% 0.20/0.56 % (2179)------------------------------
% 0.20/0.56 % (2179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2179)Termination reason: Unknown
% 0.20/0.56 % (2179)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (2179)Memory used [KB]: 6012
% 0.20/0.56 % (2179)Time elapsed: 0.151 s
% 0.20/0.56 % (2179)Instructions burned: 7 (million)
% 0.20/0.56 % (2179)------------------------------
% 0.20/0.56 % (2179)------------------------------
% 0.20/0.56 % (2188)Refutation not found, incomplete strategy% (2188)------------------------------
% 0.20/0.56 % (2188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2188)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (2188)Memory used [KB]: 5884
% 0.20/0.56 % (2188)Time elapsed: 0.159 s
% 0.20/0.56 % (2188)Instructions burned: 5 (million)
% 0.20/0.56 % (2188)------------------------------
% 0.20/0.56 % (2188)------------------------------
% 0.20/0.56 % (2174)Instruction limit reached!
% 0.20/0.56 % (2174)------------------------------
% 0.20/0.56 % (2174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2174)Termination reason: Unknown
% 0.20/0.56 % (2174)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (2174)Memory used [KB]: 1663
% 0.20/0.56 % (2174)Time elapsed: 0.115 s
% 0.20/0.56 % (2174)Instructions burned: 29 (million)
% 0.20/0.56 % (2174)------------------------------
% 0.20/0.56 % (2174)------------------------------
% 0.20/0.57 % (2185)Refutation not found, incomplete strategy% (2185)------------------------------
% 0.20/0.57 % (2185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (2185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (2185)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (2185)Memory used [KB]: 6140
% 0.20/0.57 % (2185)Time elapsed: 0.180 s
% 0.20/0.57 % (2185)Instructions burned: 14 (million)
% 0.20/0.57 % (2185)------------------------------
% 0.20/0.57 % (2185)------------------------------
% 0.20/0.57 % (2177)Instruction limit reached!
% 0.20/0.57 % (2177)------------------------------
% 0.20/0.57 % (2177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (2177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (2177)Termination reason: Unknown
% 0.20/0.57 % (2177)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (2177)Memory used [KB]: 6012
% 0.20/0.57 % (2177)Time elapsed: 0.161 s
% 0.20/0.57 % (2177)Instructions burned: 9 (million)
% 0.20/0.57 % (2177)------------------------------
% 0.20/0.57 % (2177)------------------------------
% 0.20/0.57 % (2165)First to succeed.
% 1.70/0.57 % (2165)Refutation found. Thanks to Tanya!
% 1.70/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.70/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.58 % (2165)------------------------------
% 1.70/0.58 % (2165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (2165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (2165)Termination reason: Refutation
% 1.70/0.58
% 1.70/0.58 % (2165)Memory used [KB]: 6140
% 1.70/0.58 % (2165)Time elapsed: 0.177 s
% 1.70/0.58 % (2165)Instructions burned: 20 (million)
% 1.70/0.58 % (2165)------------------------------
% 1.70/0.58 % (2165)------------------------------
% 1.70/0.58 % (2159)Success in time 0.216 s
%------------------------------------------------------------------------------