TSTP Solution File: GRP335-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP335-1 : 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 : n020.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 16:15:25 EDT 2022
% Result : Unsatisfiable 1.34s 0.54s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 49
% Syntax : Number of formulae : 210 ( 4 unt; 0 def)
% Number of atoms : 876 ( 235 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1308 ( 642 ~; 651 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f579,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f58,f63,f72,f77,f82,f87,f88,f89,f90,f91,f92,f93,f94,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f238,f252,f258,f264,f271,f435,f455,f464,f569,f578]) ).
fof(f578,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f577,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f574,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f572,f513]) ).
fof(f513,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f322,f504]) ).
fof(f504,plain,
( ! [X1] : multiply(sk_c3,X1) = X1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f319,f322]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f279,f299]) ).
fof(f299,plain,
( sk_c7 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f296,f48]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f296,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f284,f57]) ).
fof(f57,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_5
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f283,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f283,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f273]) ).
fof(f273,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f279,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f86]) ).
fof(f86,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f286,f299]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f285,f1]) ).
fof(f285,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f275]) ).
fof(f275,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f572,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f571,f299]) ).
fof(f571,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f42,f570]) ).
fof(f570,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f415,f440]) ).
fof(f440,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f322,f305]) ).
fof(f305,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f86,f299]) ).
fof(f415,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f67,f299]) ).
fof(f67,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f42,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f569,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f568,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f565]) ).
fof(f565,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f563,f513]) ).
fof(f563,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f562,f1]) ).
fof(f562,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f561]) ).
fof(f561,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f466,f536]) ).
fof(f536,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f304,f529]) ).
fof(f529,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f513,f316]) ).
fof(f316,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f275,f299]) ).
fof(f304,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f81,f299]) ).
fof(f466,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c7,multiply(X7,sk_c7)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f465,f299]) ).
fof(f465,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c7,multiply(X7,sk_c7)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f97,f299]) ).
fof(f97,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_12
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f464,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f460,f305]) ).
fof(f460,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f458]) ).
fof(f458,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f456,f304]) ).
fof(f456,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f100,f442]) ).
fof(f442,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f412,f440]) ).
fof(f412,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f43,f299]) ).
fof(f43,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f100,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_13
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f455,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f453,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f451,f305]) ).
fof(f451,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f450]) ).
fof(f450,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f306,f304]) ).
fof(f306,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f103,f299]) ).
fof(f103,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_14
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f435,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f433,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f421,f305]) ).
fof(f421,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f419,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f405,f304]) ).
fof(f405,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f404,f299]) ).
fof(f404,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f106,f299]) ).
fof(f106,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_15
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f271,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f269]) ).
fof(f269,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f268,f1]) ).
fof(f268,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f266,f219]) ).
fof(f219,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f71,f213]) ).
fof(f213,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f202,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f129,f192]) ).
fof(f192,plain,
( ! [X1] : multiply(sk_c1,X1) = X1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f143,f131]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_9
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f143,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f126,f139]) ).
fof(f139,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f43,f136]) ).
fof(f136,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f131,f62]) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f126,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f52]) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_4
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f129,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f128,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f123]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f266,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f265,f230]) ).
fof(f230,plain,
( sk_c7 = sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f161,f227]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f226,f1]) ).
fof(f226,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f206,f214]) ).
fof(f214,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f202,f124]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f127,f202]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f62]) ).
fof(f161,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f152,f62]) ).
fof(f152,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f127,f144]) ).
fof(f144,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f132,f139]) ).
fof(f132,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f129,f52]) ).
fof(f265,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f106,f230]) ).
fof(f264,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f261,f1]) ).
fof(f261,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f260]) ).
fof(f260,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f259,f219]) ).
fof(f259,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f103,f230]) ).
fof(f258,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f256]) ).
fof(f256,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f255,f1]) ).
fof(f255,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( sk_c7 != multiply(identity,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f253,f219]) ).
fof(f253,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f100,f139]) ).
fof(f252,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f248]) ).
fof(f248,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f246,f202]) ).
fof(f246,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f245,f1]) ).
fof(f245,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f244]) ).
fof(f244,plain,
( sk_c7 != multiply(sk_c7,multiply(identity,sk_c7))
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f240,f219]) ).
fof(f240,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c7,multiply(X7,sk_c7)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f239,f230]) ).
fof(f239,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f97,f230]) ).
fof(f238,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f236,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f164,f230]) ).
fof(f164,plain,
( sk_c7 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f141,f161]) ).
fof(f141,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f66,f139]) ).
fof(f66,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f122,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f24,f79,f60]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f121,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f41,f46]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f120,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f55,f69]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f119,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f5,f84,f41]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f118,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f33,f74,f37]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f117,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f21,f69,f37]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f116,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f55,f74]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f115,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f69,f79]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f114,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f41,f65]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f113,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f15,f37,f50]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f112,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f60,f84]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f111,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f29,f74,f84]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f110,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f12,f79,f50]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f109,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f55,f50]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f108,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f69,f84]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f107,plain,
( spl0_12
| spl0_13
| ~ spl0_7
| spl0_14
| ~ spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f105,f41,f102,f65,f99,f96]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != inverse(X3)
| sk_c8 != inverse(X7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X3)
| sk_c8 != inverse(X7)
| multiply(X7,sk_c8) != X6
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != inverse(X5)
| sk_c7 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f94,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f27,f37,f60]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f93,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f28,f65,f74]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f92,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f65,f50]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f91,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f6,f79,f41]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f90,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f46,f69]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f89,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f65,f60]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f88,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f55,f60]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f87,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f11,f84,f50]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f82,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f30,f79,f74]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f77,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f31,f74,f46]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f72,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f69,f65]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f63,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f46,f60]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f58,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f41,f55]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f50,f46]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f41,f37]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP335-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:26:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (28843)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)
% 0.20/0.47 % (28840)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.48 % (28843)Instruction limit reached!
% 0.20/0.48 % (28843)------------------------------
% 0.20/0.48 % (28843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (28853)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)
% 0.20/0.48 % (28843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (28843)Termination reason: Unknown
% 0.20/0.48 % (28843)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (28843)Memory used [KB]: 5884
% 0.20/0.48 % (28843)Time elapsed: 0.005 s
% 0.20/0.48 % (28843)Instructions burned: 3 (million)
% 0.20/0.48 % (28843)------------------------------
% 0.20/0.48 % (28843)------------------------------
% 0.20/0.49 % (28856)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)
% 0.20/0.49 % (28848)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)
% 0.20/0.50 % (28864)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)
% 0.20/0.51 % (28840)Instruction limit reached!
% 0.20/0.51 % (28840)------------------------------
% 0.20/0.51 % (28840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28840)Termination reason: Unknown
% 0.20/0.51 % (28840)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (28840)Memory used [KB]: 6140
% 0.20/0.51 % (28840)Time elapsed: 0.128 s
% 0.20/0.51 % (28840)Instructions burned: 25 (million)
% 0.20/0.51 % (28840)------------------------------
% 0.20/0.51 % (28840)------------------------------
% 0.20/0.51 % (28856)Refutation not found, incomplete strategy% (28856)------------------------------
% 0.20/0.51 % (28856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28856)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (28856)Memory used [KB]: 5884
% 0.20/0.51 % (28856)Time elapsed: 0.122 s
% 0.20/0.51 % (28856)Instructions burned: 4 (million)
% 0.20/0.51 % (28856)------------------------------
% 0.20/0.51 % (28856)------------------------------
% 0.20/0.51 % (28848)Instruction limit reached!
% 0.20/0.51 % (28848)------------------------------
% 0.20/0.51 % (28848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28848)Termination reason: Unknown
% 0.20/0.51 % (28848)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (28848)Memory used [KB]: 5884
% 0.20/0.51 % (28848)Time elapsed: 0.004 s
% 0.20/0.51 % (28848)Instructions burned: 5 (million)
% 0.20/0.51 % (28848)------------------------------
% 0.20/0.51 % (28848)------------------------------
% 0.20/0.52 % (28849)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 % (28844)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)
% 0.20/0.52 % (28839)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 % (28853)First to succeed.
% 0.20/0.53 % (28835)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (28836)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)
% 0.20/0.53 % (28847)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 % (28838)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)
% 0.20/0.53 % (28845)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)
% 0.20/0.53 % (28861)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)
% 0.20/0.53 % (28847)Instruction limit reached!
% 0.20/0.53 % (28847)------------------------------
% 0.20/0.53 % (28847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28847)Termination reason: Unknown
% 0.20/0.53 % (28847)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (28847)Memory used [KB]: 5884
% 0.20/0.53 % (28847)Time elapsed: 0.137 s
% 0.20/0.53 % (28847)Instructions burned: 5 (million)
% 0.20/0.53 % (28847)------------------------------
% 0.20/0.53 % (28847)------------------------------
% 0.20/0.53 % (28845)Instruction limit reached!
% 0.20/0.53 % (28845)------------------------------
% 0.20/0.53 % (28845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28845)Termination reason: Unknown
% 0.20/0.53 % (28845)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (28845)Memory used [KB]: 6012
% 0.20/0.53 % (28845)Time elapsed: 0.137 s
% 0.20/0.53 % (28845)Instructions burned: 7 (million)
% 0.20/0.53 % (28845)------------------------------
% 0.20/0.53 % (28845)------------------------------
% 0.20/0.53 % (28846)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 % (28857)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)
% 0.20/0.54 % (28850)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 % (28837)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)
% 0.20/0.54 % (28860)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)
% 1.34/0.54 % (28837)Instruction limit reached!
% 1.34/0.54 % (28837)------------------------------
% 1.34/0.54 % (28837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (28837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (28837)Termination reason: Unknown
% 1.34/0.54 % (28837)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (28837)Memory used [KB]: 5884
% 1.34/0.54 % (28837)Time elapsed: 0.005 s
% 1.34/0.54 % (28837)Instructions burned: 4 (million)
% 1.34/0.54 % (28837)------------------------------
% 1.34/0.54 % (28837)------------------------------
% 1.34/0.54 % (28839)Refutation not found, incomplete strategy% (28839)------------------------------
% 1.34/0.54 % (28839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (28839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (28839)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.54
% 1.34/0.54 % (28839)Memory used [KB]: 5884
% 1.34/0.54 % (28839)Time elapsed: 0.146 s
% 1.34/0.54 % (28839)Instructions burned: 4 (million)
% 1.34/0.54 % (28839)------------------------------
% 1.34/0.54 % (28839)------------------------------
% 1.34/0.54 % (28854)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)
% 1.34/0.54 % (28853)Refutation found. Thanks to Tanya!
% 1.34/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.55 % (28853)------------------------------
% 1.34/0.55 % (28853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (28853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (28853)Termination reason: Refutation
% 1.34/0.55
% 1.34/0.55 % (28853)Memory used [KB]: 10618
% 1.34/0.55 % (28853)Time elapsed: 0.122 s
% 1.34/0.55 % (28853)Instructions burned: 19 (million)
% 1.34/0.55 % (28853)------------------------------
% 1.34/0.55 % (28853)------------------------------
% 1.34/0.55 % (28834)Success in time 0.185 s
%------------------------------------------------------------------------------