TSTP Solution File: GRP362-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP362-1 : 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 : 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 : Wed Aug 31 16:15:32 EDT 2022
% Result : Unsatisfiable 1.50s 0.58s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 44
% Syntax : Number of formulae : 223 ( 4 unt; 0 def)
% Number of atoms : 1031 ( 271 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1593 ( 785 ~; 793 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f713,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f98,f114,f116,f122,f127,f132,f133,f136,f139,f140,f146,f148,f152,f153,f155,f157,f158,f160,f162,f164,f167,f168,f180,f181,f185,f228,f263,f273,f281,f303,f422,f495,f522,f657,f660,f666,f704,f712]) ).
fof(f712,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f710]) ).
fof(f710,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f709,f568]) ).
fof(f568,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f374,f368]) ).
fof(f368,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f307,f345]) ).
fof(f345,plain,
( sk_c9 = sk_c10
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f343,f126]) ).
fof(f126,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_13
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f343,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f325,f97]) ).
fof(f97,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_8
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f324,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f306]) ).
fof(f306,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f2,f113]) ).
fof(f113,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_11
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f307,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_12 ),
inference(superposition,[],[f2,f121]) ).
fof(f121,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_12
<=> sk_c9 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f374,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f327,f345]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f326,f1]) ).
fof(f326,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f307]) ).
fof(f709,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f708]) ).
fof(f708,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f707,f355]) ).
fof(f355,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f121,f345]) ).
fof(f707,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(X9,identity) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f706,f345]) ).
fof(f706,plain,
( ! [X9] :
( sk_c10 != inverse(X9)
| sk_c9 != multiply(X9,identity) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f705,f345]) ).
fof(f705,plain,
( ! [X9] :
( sk_c10 != multiply(X9,identity)
| sk_c10 != inverse(X9) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f179,f500]) ).
fof(f500,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f497,f368]) ).
fof(f497,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f340,f345]) ).
fof(f340,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f323,f107]) ).
fof(f107,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_10
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f322,f1]) ).
fof(f322,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f304]) ).
fof(f304,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_4
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f179,plain,
( ! [X9] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_18
<=> ! [X9] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f704,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f703,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( identity != identity
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f701,f368]) ).
fof(f701,plain,
( identity != multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f700,f355]) ).
fof(f700,plain,
( identity != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f698]) ).
fof(f698,plain,
( identity != multiply(sk_c9,inverse(sk_c9))
| identity != identity
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f675,f2]) ).
fof(f675,plain,
( ! [X7] :
( identity != multiply(inverse(X7),sk_c9)
| identity != multiply(X7,inverse(X7)) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f674,f500]) ).
fof(f674,plain,
( ! [X7] :
( sk_c8 != multiply(X7,inverse(X7))
| identity != multiply(inverse(X7),sk_c9) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f176,f500]) ).
fof(f176,plain,
( ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl0_17
<=> ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f666,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( sk_c9 != sk_c9
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f579,f568]) ).
fof(f579,plain,
( sk_c9 != multiply(sk_c9,identity)
| spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f578,f500]) ).
fof(f578,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| spl0_2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f68,f345]) ).
fof(f68,plain,
( multiply(sk_c9,sk_c8) != sk_c10
| spl0_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_2
<=> multiply(sk_c9,sk_c8) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f660,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f658]) ).
fof(f658,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f629,f568]) ).
fof(f629,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f628,f345]) ).
fof(f628,plain,
( sk_c9 != multiply(sk_c10,identity)
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f87,f500]) ).
fof(f87,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f657,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f653,plain,
( sk_c9 != sk_c9
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f573,f568]) ).
fof(f573,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f572,f368]) ).
fof(f572,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c9,sk_c9))
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f571]) ).
fof(f571,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c9,sk_c9))
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f426,f355]) ).
fof(f426,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(sk_c9,multiply(X4,sk_c9)) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f425,f345]) ).
fof(f425,plain,
( ! [X4] :
( sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != inverse(X4) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f173,f345]) ).
fof(f173,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl0_16
<=> ! [X4] :
( sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c10 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f522,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f521]) ).
fof(f521,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f520]) ).
fof(f520,plain,
( sk_c9 != sk_c9
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f496,f355]) ).
fof(f496,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f101,f345]) ).
fof(f101,plain,
( sk_c10 != inverse(sk_c9)
| spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_9
<=> sk_c10 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f495,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( identity != identity
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f477,f478]) ).
fof(f478,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f464,f358]) ).
fof(f358,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f186,f345]) ).
fof(f186,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl0_9 ),
inference(superposition,[],[f2,f102]) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f464,plain,
( sk_c2 = multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f392,f349]) ).
fof(f349,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f83,f345]) ).
fof(f83,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_5
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f387,f1]) ).
fof(f387,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f365,f376]) ).
fof(f376,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f364,f358]) ).
fof(f364,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f196,f345]) ).
fof(f196,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f193,f69]) ).
fof(f69,plain,
( multiply(sk_c9,sk_c8) = sk_c10
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f193,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f192,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f186]) ).
fof(f365,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f199,f345]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = multiply(sk_c8,X0)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f3,f196]) ).
fof(f477,plain,
( identity != sk_c2
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f474,f358]) ).
fof(f474,plain,
( sk_c2 != multiply(sk_c9,sk_c9)
| ~ spl0_2
| spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f347,f472]) ).
fof(f472,plain,
( sk_c9 = sk_c1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f465,f375]) ).
fof(f375,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f330,f345]) ).
fof(f330,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f193,f307]) ).
fof(f465,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f392,f359]) ).
fof(f359,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f187,f345]) ).
fof(f187,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f2,f131]) ).
fof(f131,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_14
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f347,plain,
( sk_c2 != multiply(sk_c1,sk_c9)
| spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f73,f345]) ).
fof(f73,plain,
( sk_c2 != multiply(sk_c1,sk_c10)
| spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_3
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f422,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f419,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f384,f375]) ).
fof(f384,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f350,f376]) ).
fof(f350,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f87,f345]) ).
fof(f303,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f284,f224]) ).
fof(f224,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(backward_demodulation,[],[f204,f222]) ).
fof(f222,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f219,f211]) ).
fof(f211,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(backward_demodulation,[],[f186,f203]) ).
fof(f203,plain,
( sk_c9 = sk_c10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f200,f83]) ).
fof(f200,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f195,f74]) ).
fof(f74,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f194,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f187]) ).
fof(f219,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(backward_demodulation,[],[f196,f203]) ).
fof(f204,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f69,f203]) ).
fof(f284,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f283,f203]) ).
fof(f283,plain,
( sk_c9 != multiply(sk_c10,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f87,f222]) ).
fof(f281,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f279]) ).
fof(f279,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f278,f224]) ).
fof(f278,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f277]) ).
fof(f277,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f276,f208]) ).
fof(f208,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(backward_demodulation,[],[f102,f203]) ).
fof(f276,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(X9,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f275,f203]) ).
fof(f275,plain,
( ! [X9] :
( sk_c9 != multiply(X9,identity)
| sk_c10 != inverse(X9) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f274,f203]) ).
fof(f274,plain,
( ! [X9] :
( sk_c10 != multiply(X9,identity)
| sk_c10 != inverse(X9) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f179,f222]) ).
fof(f273,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f270,f211]) ).
fof(f270,plain,
( identity != multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f269,f208]) ).
fof(f269,plain,
( identity != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
( identity != identity
| identity != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f265,f2]) ).
fof(f265,plain,
( ! [X7] :
( identity != multiply(inverse(X7),sk_c9)
| identity != multiply(X7,inverse(X7)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f264,f222]) ).
fof(f264,plain,
( ! [X7] :
( identity != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f176,f222]) ).
fof(f263,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f260,f224]) ).
fof(f260,plain,
( sk_c9 != multiply(sk_c9,identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f259,f211]) ).
fof(f259,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c9,sk_c9))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c9,sk_c9))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f230,f208]) ).
fof(f230,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(sk_c9,multiply(X4,sk_c9)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f229,f203]) ).
fof(f229,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(sk_c9,multiply(X4,sk_c9)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f173,f203]) ).
fof(f228,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f226]) ).
fof(f226,plain,
( sk_c9 != sk_c9
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f209,f208]) ).
fof(f209,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5
| spl0_12
| ~ spl0_14 ),
inference(backward_demodulation,[],[f120,f203]) ).
fof(f120,plain,
( sk_c9 != inverse(sk_c10)
| spl0_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f185,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f39,f105,f81]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f181,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f72,f119]) ).
fof(f40,axiom,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = inverse(sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f180,plain,
( ~ spl0_12
| spl0_16
| spl0_16
| spl0_17
| ~ spl0_6
| spl0_18
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f61,f100,f67,f178,f86,f175,f172,f172,f119]) ).
fof(f61,plain,
! [X6,X9,X7,X4] :
( sk_c10 != inverse(sk_c9)
| multiply(sk_c9,sk_c8) != sk_c10
| sk_c10 != multiply(X9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c8 != multiply(X7,inverse(X7))
| sk_c9 != inverse(sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X9)
| sk_c10 != inverse(X4) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X8,X6,X9,X7,X4] :
( sk_c9 != multiply(sk_c10,sk_c8)
| inverse(X7) != X8
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c8 != multiply(X8,sk_c9)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X9,sk_c8)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X9)
| multiply(sk_c9,sk_c8) != sk_c10
| sk_c8 != multiply(X7,X8)
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X6) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(sk_c10,sk_c8)
| multiply(X6,sk_c10) != X5
| inverse(X7) != X8
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c8 != multiply(X8,sk_c9)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X9,sk_c8)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X9)
| multiply(sk_c9,sk_c8) != sk_c10
| sk_c8 != multiply(X7,X8)
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X6) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(sk_c10,sk_c8)
| multiply(X4,sk_c10) != X3
| multiply(X6,sk_c10) != X5
| inverse(X7) != X8
| sk_c9 != multiply(sk_c10,X3)
| sk_c8 != multiply(X8,sk_c9)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X9,sk_c8)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X9)
| multiply(sk_c9,sk_c8) != sk_c10
| sk_c8 != multiply(X7,X8)
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f168,plain,
( spl0_14
| spl0_11 ),
inference(avatar_split_clause,[],[f52,f111,f129]) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f167,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f129,f76]) ).
fof(f56,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f164,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f41,f124,f72]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f162,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f7,f111,f67]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c3)
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f160,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f51,f95,f129]) ).
fof(f51,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f158,plain,
( spl0_14
| spl0_10 ),
inference(avatar_split_clause,[],[f57,f105,f129]) ).
fof(f57,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f157,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f13,f100,f119]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c9)
| sk_c9 = inverse(sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f155,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f67,f105]) ).
fof(f12,axiom,
( multiply(sk_c9,sk_c8) = sk_c10
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f153,plain,
( spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f49,f119,f129]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f152,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f67,f95]) ).
fof(f6,axiom,
( multiply(sk_c9,sk_c8) = sk_c10
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f148,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f16,f111,f100]) ).
fof(f16,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f146,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f81,f111]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f140,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f95,f100]) ).
fof(f15,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f139,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f14,f124,f100]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f136,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f5,f124,f67]) ).
fof(f5,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f133,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f67,f76]) ).
fof(f11,axiom,
( multiply(sk_c9,sk_c8) = sk_c10
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f132,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f129,f124]) ).
fof(f50,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f127,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f124,f81]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f122,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f81,f119]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c9 = inverse(sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f116,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f81,f95]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f114,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f43,f111,f72]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f98,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f42,f72,f95]) ).
fof(f42,axiom,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f84,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f81,f76]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : GRP362-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:27:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (16663)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)
% 0.20/0.56 % (16671)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)
% 0.20/0.56 % (16664)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)
% 1.50/0.57 % (16675)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)
% 1.50/0.57 % (16679)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)
% 1.50/0.57 % (16664)Refutation not found, incomplete strategy% (16664)------------------------------
% 1.50/0.57 % (16664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (16664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (16664)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.57
% 1.50/0.57 % (16664)Memory used [KB]: 6012
% 1.50/0.57 % (16664)Time elapsed: 0.133 s
% 1.50/0.57 % (16664)Instructions burned: 9 (million)
% 1.50/0.57 % (16664)------------------------------
% 1.50/0.57 % (16664)------------------------------
% 1.50/0.58 % (16675)First to succeed.
% 1.50/0.58 % (16667)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)
% 1.50/0.58 % (16685)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)
% 1.50/0.58 % (16675)Refutation found. Thanks to Tanya!
% 1.50/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.58 % (16675)------------------------------
% 1.50/0.58 % (16675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (16675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (16675)Termination reason: Refutation
% 1.50/0.58
% 1.50/0.58 % (16675)Memory used [KB]: 10618
% 1.50/0.58 % (16675)Time elapsed: 0.129 s
% 1.50/0.58 % (16675)Instructions burned: 22 (million)
% 1.50/0.58 % (16675)------------------------------
% 1.50/0.58 % (16675)------------------------------
% 1.50/0.58 % (16656)Success in time 0.221 s
%------------------------------------------------------------------------------