TSTP Solution File: GRP268-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP268-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 : Mon May 20 21:07:50 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 39
% Syntax : Number of formulae : 158 ( 8 unt; 0 def)
% Number of atoms : 441 ( 173 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 532 ( 249 ~; 266 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1123,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f50,f51,f57,f58,f59,f64,f65,f66,f71,f72,f73,f78,f79,f80,f85,f86,f87,f97,f100,f111,f228,f285,f303,f345,f367,f382,f509,f859,f940,f965,f1122]) ).
fof(f1122,plain,
( spl0_18
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1117,f104,f129]) ).
fof(f129,plain,
( spl0_18
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f104,plain,
( spl0_14
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1117,plain,
( identity = sk_c7
| ~ spl0_14 ),
inference(superposition,[],[f2,f1006]) ).
fof(f1006,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| ~ spl0_14 ),
inference(superposition,[],[f159,f967]) ).
fof(f967,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f726,f105]) ).
fof(f105,plain,
( sk_c7 = inverse(identity)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f726,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f159,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f152,f1]) ).
fof(f152,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
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(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f965,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f964,f129,f42,f108]) ).
fof(f108,plain,
( spl0_15
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f42,plain,
( spl0_4
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f964,plain,
( sk_c7 = sk_c6
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f963,f130]) ).
fof(f130,plain,
( identity = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f963,plain,
( identity = sk_c6
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f962,f892]) ).
fof(f892,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_18 ),
inference(superposition,[],[f1,f130]) ).
fof(f962,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f940,plain,
( spl0_21
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f939,f129,f104,f218]) ).
fof(f218,plain,
( spl0_21
<=> sk_c7 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f939,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f105,f130]) ).
fof(f859,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f849,f108,f61,f54,f47,f32,f37]) ).
fof(f37,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f32,plain,
( spl0_2
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f47,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f54,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f61,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f849,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f49,f845]) ).
fof(f845,plain,
( sk_c1 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f843,f778]) ).
fof(f778,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c2) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f728,f475]) ).
fof(f475,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f465,f377]) ).
fof(f377,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f288,f109]) ).
fof(f109,plain,
( sk_c7 = sk_c6
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f288,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f465,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f379,f453]) ).
fof(f453,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f444,f379]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f294,f309]) ).
fof(f309,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f308,f1]) ).
fof(f308,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f288]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f56]) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f379,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f309,f109]) ).
fof(f728,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f159,f2]) ).
fof(f843,plain,
( sk_c1 = multiply(inverse(inverse(sk_c5)),sk_c2)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f159,f799]) ).
fof(f799,plain,
( sk_c2 = multiply(inverse(sk_c5),sk_c1)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f798,f475]) ).
fof(f798,plain,
( identity = multiply(inverse(sk_c5),sk_c1)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f753,f465]) ).
fof(f753,plain,
( identity = multiply(inverse(sk_c5),multiply(sk_c7,sk_c1))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f159,f304]) ).
fof(f304,plain,
( multiply(sk_c5,identity) = multiply(sk_c7,sk_c1)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f155,f287]) ).
fof(f287,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_5 ),
inference(superposition,[],[f2,f49]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f34]) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f509,plain,
( ~ spl0_15
| ~ spl0_6
| ~ spl0_7
| spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f508,f108,f104,f61,f54,f108]) ).
fof(f508,plain,
( sk_c7 != sk_c6
| ~ spl0_6
| ~ spl0_7
| spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f488,f63]) ).
fof(f488,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_6
| ~ spl0_7
| spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f106,f475]) ).
fof(f106,plain,
( sk_c7 != inverse(identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f382,plain,
( ~ spl0_21
| spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f373,f108,f42,f218]) ).
fof(f373,plain,
( sk_c7 != inverse(sk_c7)
| spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f43,f109]) ).
fof(f43,plain,
( sk_c7 != inverse(sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f367,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f366,f82,f75,f68,f108]) ).
fof(f68,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c6,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f75,plain,
( spl0_9
<=> sk_c4 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f82,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f366,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f364,f70]) ).
fof(f70,plain,
( sk_c7 = multiply(sk_c6,sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f364,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f346,f77]) ).
fof(f77,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f346,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f311,f1]) ).
fof(f311,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f289]) ).
fof(f289,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f2,f84]) ).
fof(f84,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f345,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f342,f89,f28,f47]) ).
fof(f28,plain,
( spl0_1
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f89,plain,
( spl0_11
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f342,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f339,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f90,f30]) ).
fof(f30,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f90,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f303,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f302,f95,f82,f75,f68]) ).
fof(f95,plain,
( spl0_13
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f302,plain,
( sk_c7 != multiply(sk_c6,sk_c4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( sk_c6 != sk_c6
| sk_c7 != multiply(sk_c6,sk_c4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f299,f84]) ).
fof(f299,plain,
( sk_c7 != multiply(sk_c6,sk_c4)
| sk_c6 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f96,f77]) ).
fof(f96,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f285,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f272,f95,f42,f37,f32,f92]) ).
fof(f92,plain,
( spl0_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f272,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f96,f209]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f208,f161]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f125]) ).
fof(f125,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f2,f44]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f207,f1]) ).
fof(f207,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f3,f204]) ).
fof(f204,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f203,f125]) ).
fof(f203,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f201,f155]) ).
fof(f201,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,multiply(sk_c8,sk_c6))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f155,f192]) ).
fof(f192,plain,
( multiply(sk_c8,sk_c6) = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f165,f125]) ).
fof(f165,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f3,f162]) ).
fof(f162,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f160,f34]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f153,f1]) ).
fof(f153,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f228,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f223,f104,f42,f37,f32,f42]) ).
fof(f223,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_14 ),
inference(superposition,[],[f106,f210]) ).
fof(f210,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f208,f125]) ).
fof(f111,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f102,f92,f108,f104]) ).
fof(f102,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(identity)
| ~ spl0_12 ),
inference(inner_rewriting,[],[f101]) ).
fof(f101,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_12 ),
inference(superposition,[],[f93,f1]) ).
fof(f93,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f100,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f99,f89,f32,f37]) ).
fof(f99,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f98]) ).
fof(f98,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f90,f34]) ).
fof(f97,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_11
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f26,f42,f89,f95,f92,f89]) ).
fof(f26,plain,
! [X3,X6,X7,X4] :
( sk_c7 != inverse(sk_c6)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(sk_c6)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c6 != inverse(X6)
| multiply(X6,sk_c6) != X5
| sk_c7 != multiply(sk_c6,X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f87,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f42,f82]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f86,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f37,f82]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f85,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f32,f82]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f80,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f42,f75]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f79,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f37,f75]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f78,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f32,f75]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f73,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f42,f68]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f72,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f37,f68]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f71,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f32,f68]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f66,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f42,f61]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f65,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f37,f61]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f64,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f32,f61]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f59,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f42,f54]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f58,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f37,f54]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f57,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f32,f54]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f51,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f37,f47]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f50,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f32,f47]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f35,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f32,f28]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP268-1 : TPTP v8.2.0. Released v2.5.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 04:05:37 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.10/0.30 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.77 % (2142)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.77 % (2140)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.77 % (2141)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.60/0.77 % (2143)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.77 % (2144)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.77 % (2145)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.77 % (2146)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.60/0.77 % (2147)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.77 % (2140)Refutation not found, incomplete strategy% (2140)------------------------------
% 0.60/0.77 % (2140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (2140)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77 % (2143)Refutation not found, incomplete strategy% (2143)------------------------------
% 0.60/0.77 % (2143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77
% 0.60/0.77 % (2143)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (2143)Memory used [KB]: 1001
% 0.60/0.77 % (2143)Time elapsed: 0.003 s
% 0.60/0.77 % (2143)Instructions burned: 3 (million)
% 0.60/0.77 % (2140)Memory used [KB]: 1016
% 0.60/0.77 % (2140)Time elapsed: 0.003 s
% 0.60/0.77 % (2140)Instructions burned: 3 (million)
% 0.60/0.77 % (2144)Refutation not found, incomplete strategy% (2144)------------------------------
% 0.60/0.77 % (2144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (2144)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (2144)Memory used [KB]: 1017
% 0.60/0.77 % (2144)Time elapsed: 0.003 s
% 0.60/0.77 % (2144)Instructions burned: 4 (million)
% 0.60/0.77 % (2147)Refutation not found, incomplete strategy% (2147)------------------------------
% 0.60/0.77 % (2147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (2147)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (2147)Memory used [KB]: 1002
% 0.60/0.77 % (2147)Time elapsed: 0.003 s
% 0.60/0.77 % (2147)Instructions burned: 3 (million)
% 0.60/0.78 % (2143)------------------------------
% 0.60/0.78 % (2143)------------------------------
% 0.60/0.78 % (2144)------------------------------
% 0.60/0.78 % (2144)------------------------------
% 0.60/0.78 % (2140)------------------------------
% 0.60/0.78 % (2140)------------------------------
% 0.60/0.78 % (2147)------------------------------
% 0.60/0.78 % (2147)------------------------------
% 0.60/0.78 % (2146)Refutation not found, incomplete strategy% (2146)------------------------------
% 0.60/0.78 % (2146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (2146)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (2146)Memory used [KB]: 1086
% 0.60/0.78 % (2146)Time elapsed: 0.005 s
% 0.60/0.78 % (2146)Instructions burned: 7 (million)
% 0.60/0.78 % (2146)------------------------------
% 0.60/0.78 % (2146)------------------------------
% 0.60/0.78 % (2148)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.78 % (2150)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.78 % (2149)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.60/0.78 % (2151)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.60/0.78 % (2149)Refutation not found, incomplete strategy% (2149)------------------------------
% 0.60/0.78 % (2149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (2149)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (2149)Memory used [KB]: 997
% 0.60/0.78 % (2149)Time elapsed: 0.003 s
% 0.60/0.78 % (2149)Instructions burned: 4 (million)
% 0.60/0.78 % (2152)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.78 % (2149)------------------------------
% 0.60/0.78 % (2149)------------------------------
% 0.60/0.78 % (2153)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.79 % (2153)Refutation not found, incomplete strategy% (2153)------------------------------
% 0.60/0.79 % (2153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2153)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (2153)Memory used [KB]: 1007
% 0.60/0.79 % (2153)Time elapsed: 0.003 s
% 0.60/0.79 % (2153)Instructions burned: 3 (million)
% 0.60/0.79 % (2153)------------------------------
% 0.60/0.79 % (2153)------------------------------
% 0.60/0.79 % (2154)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.60/0.79 % (2141)First to succeed.
% 0.60/0.79 % (2145)Instruction limit reached!
% 0.60/0.79 % (2145)------------------------------
% 0.60/0.79 % (2145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2145)Termination reason: Unknown
% 0.60/0.79 % (2145)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (2145)Memory used [KB]: 1701
% 0.60/0.79 % (2145)Time elapsed: 0.021 s
% 0.60/0.79 % (2145)Instructions burned: 46 (million)
% 0.60/0.79 % (2145)------------------------------
% 0.60/0.79 % (2145)------------------------------
% 0.60/0.79 % (2141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2138"
% 0.60/0.79 % (2141)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for theBenchmark
% 0.60/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.79 % (2141)------------------------------
% 0.60/0.79 % (2141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2141)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (2141)Memory used [KB]: 1301
% 0.60/0.79 % (2141)Time elapsed: 0.021 s
% 0.60/0.79 % (2141)Instructions burned: 38 (million)
% 0.60/0.79 % (2138)Success in time 0.483 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------