TSTP Solution File: GRP245-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP245-1 : 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_sat --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 16:21:01 EDT 2022
% Result : Unsatisfiable 0.22s 0.59s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 60
% Syntax : Number of formulae : 270 ( 6 unt; 0 def)
% Number of atoms : 856 ( 307 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1148 ( 562 ~; 553 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f821,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f108,f113,f114,f116,f117,f119,f125,f133,f134,f142,f143,f145,f146,f149,f152,f153,f169,f171,f172,f176,f179,f180,f185,f186,f188,f189,f190,f191,f202,f230,f237,f282,f306,f339,f393,f395,f397,f439,f452,f517,f526,f572,f580,f589,f650,f656,f702,f812,f820]) ).
fof(f820,plain,
( ~ spl5_8
| spl5_28
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl5_8
| spl5_28
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f736,f818]) ).
fof(f818,plain,
( identity != inverse(identity)
| spl5_28
| ~ spl5_34 ),
inference(forward_demodulation,[],[f225,f280]) ).
fof(f280,plain,
( identity = sk_c9
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl5_34
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f225,plain,
( sk_c9 != inverse(identity)
| spl5_28 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl5_28
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f736,plain,
( identity = inverse(identity)
| ~ spl5_8
| ~ spl5_34 ),
inference(backward_demodulation,[],[f731,f735]) ).
fof(f735,plain,
( identity = sk_c2
| ~ spl5_8
| ~ spl5_34 ),
inference(forward_demodulation,[],[f734,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f734,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl5_8
| ~ spl5_34 ),
inference(forward_demodulation,[],[f298,f280]) ).
fof(f298,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl5_8 ),
inference(superposition,[],[f252,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl5_8 ),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl5_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f252,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f245,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f245,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f731,plain,
( identity = inverse(sk_c2)
| ~ spl5_8
| ~ spl5_34 ),
inference(forward_demodulation,[],[f94,f280]) ).
fof(f812,plain,
( ~ spl5_23
| ~ spl5_27
| ~ spl5_28
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl5_23
| ~ spl5_27
| ~ spl5_28
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f810,f1]) ).
fof(f810,plain,
( identity != multiply(identity,identity)
| ~ spl5_23
| ~ spl5_27
| ~ spl5_28
| ~ spl5_34 ),
inference(trivial_inequality_removal,[],[f805]) ).
fof(f805,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl5_23
| ~ spl5_27
| ~ spl5_28
| ~ spl5_34 ),
inference(superposition,[],[f742,f612]) ).
fof(f612,plain,
( identity = inverse(identity)
| ~ spl5_28
| ~ spl5_34 ),
inference(forward_demodulation,[],[f224,f280]) ).
fof(f224,plain,
( sk_c9 = inverse(identity)
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f742,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl5_23
| ~ spl5_27
| ~ spl5_34 ),
inference(forward_demodulation,[],[f741,f280]) ).
fof(f741,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl5_23
| ~ spl5_27
| ~ spl5_34 ),
inference(forward_demodulation,[],[f740,f280]) ).
fof(f740,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl5_23
| ~ spl5_27 ),
inference(forward_demodulation,[],[f184,f219]) ).
fof(f219,plain,
( identity = sk_c8
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl5_27
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f184,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl5_23
<=> ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f702,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_27
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl5_3
| ~ spl5_4
| spl5_27
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f700,f220]) ).
fof(f220,plain,
( identity != sk_c8
| spl5_27 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f700,plain,
( identity = sk_c8
| ~ spl5_3
| ~ spl5_4
| ~ spl5_34 ),
inference(forward_demodulation,[],[f693,f2]) ).
fof(f693,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_34 ),
inference(superposition,[],[f252,f660]) ).
fof(f660,plain,
( identity = multiply(identity,sk_c8)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_34 ),
inference(forward_demodulation,[],[f659,f280]) ).
fof(f659,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_34 ),
inference(forward_demodulation,[],[f75,f573]) ).
fof(f573,plain,
( identity = sk_c5
| ~ spl5_3
| ~ spl5_34 ),
inference(forward_demodulation,[],[f552,f2]) ).
fof(f552,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl5_3
| ~ spl5_34 ),
inference(backward_demodulation,[],[f489,f280]) ).
fof(f489,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl5_3 ),
inference(superposition,[],[f252,f402]) ).
fof(f402,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl5_3 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl5_3
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl5_4
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f656,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_19
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| ~ spl5_7
| ~ spl5_9
| ~ spl5_19
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f654,f531]) ).
fof(f531,plain,
( sk_c10 = multiply(sk_c4,identity)
| ~ spl5_9
| ~ spl5_34 ),
inference(backward_demodulation,[],[f98,f280]) ).
fof(f98,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl5_9
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f654,plain,
( sk_c10 != multiply(sk_c4,identity)
| ~ spl5_7
| ~ spl5_19
| ~ spl5_34 ),
inference(trivial_inequality_removal,[],[f652]) ).
fof(f652,plain,
( sk_c10 != multiply(sk_c4,identity)
| sk_c10 != sk_c10
| ~ spl5_7
| ~ spl5_19
| ~ spl5_34 ),
inference(superposition,[],[f651,f89]) ).
fof(f89,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl5_7
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f651,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl5_19
| ~ spl5_34 ),
inference(forward_demodulation,[],[f160,f280]) ).
fof(f160,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9) )
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl5_19
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f650,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_22
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| ~ spl5_7
| ~ spl5_9
| ~ spl5_22
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f644,f610]) ).
fof(f610,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl5_7
| ~ spl5_9
| ~ spl5_34 ),
inference(forward_demodulation,[],[f411,f280]) ).
fof(f411,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl5_7
| ~ spl5_9 ),
inference(forward_demodulation,[],[f409,f89]) ).
fof(f409,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c10)
| ~ spl5_9 ),
inference(superposition,[],[f252,f98]) ).
fof(f644,plain,
( identity != multiply(sk_c10,sk_c10)
| ~ spl5_7
| ~ spl5_9
| ~ spl5_22
| ~ spl5_34 ),
inference(superposition,[],[f628,f609]) ).
fof(f609,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,X0)
| ~ spl5_9
| ~ spl5_34 ),
inference(forward_demodulation,[],[f608,f1]) ).
fof(f608,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c10,X0)
| ~ spl5_9
| ~ spl5_34 ),
inference(forward_demodulation,[],[f410,f280]) ).
fof(f410,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl5_9 ),
inference(superposition,[],[f3,f98]) ).
fof(f628,plain,
( identity != multiply(sk_c4,sk_c10)
| ~ spl5_7
| ~ spl5_22
| ~ spl5_34 ),
inference(trivial_inequality_removal,[],[f627]) ).
fof(f627,plain,
( sk_c10 != sk_c10
| identity != multiply(sk_c4,sk_c10)
| ~ spl5_7
| ~ spl5_22
| ~ spl5_34 ),
inference(superposition,[],[f533,f89]) ).
fof(f533,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| identity != multiply(X3,sk_c10) )
| ~ spl5_22
| ~ spl5_34 ),
inference(backward_demodulation,[],[f175,f280]) ).
fof(f175,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl5_22
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f589,plain,
( ~ spl5_11
| ~ spl5_13
| ~ spl5_22
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f588,plain,
( $false
| ~ spl5_11
| ~ spl5_13
| ~ spl5_22
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f587,f521]) ).
fof(f521,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl5_11
| ~ spl5_13
| ~ spl5_22 ),
inference(trivial_inequality_removal,[],[f518]) ).
fof(f518,plain,
( sk_c10 != inverse(sk_c10)
| sk_c9 != sk_c9
| ~ spl5_11
| ~ spl5_13
| ~ spl5_22 ),
inference(superposition,[],[f175,f307]) ).
fof(f307,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl5_11
| ~ spl5_13 ),
inference(forward_demodulation,[],[f302,f124]) ).
fof(f124,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl5_13
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f302,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c10)
| ~ spl5_11 ),
inference(superposition,[],[f252,f107]) ).
fof(f107,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl5_11
<=> sk_c10 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f587,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl5_11
| ~ spl5_13
| ~ spl5_34 ),
inference(backward_demodulation,[],[f124,f586]) ).
fof(f586,plain,
( sk_c10 = sk_c3
| ~ spl5_11
| ~ spl5_13
| ~ spl5_34 ),
inference(forward_demodulation,[],[f297,f539]) ).
fof(f539,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| ~ spl5_11
| ~ spl5_13
| ~ spl5_34 ),
inference(backward_demodulation,[],[f333,f280]) ).
fof(f333,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl5_11
| ~ spl5_13 ),
inference(superposition,[],[f252,f307]) ).
fof(f297,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl5_13 ),
inference(superposition,[],[f252,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl5_13 ),
inference(superposition,[],[f2,f124]) ).
fof(f580,plain,
( ~ spl5_3
| spl5_28
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl5_3
| spl5_28
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f575,f535]) ).
fof(f535,plain,
( identity != inverse(identity)
| spl5_28
| ~ spl5_34 ),
inference(backward_demodulation,[],[f225,f280]) ).
fof(f575,plain,
( identity = inverse(identity)
| ~ spl5_3
| ~ spl5_34 ),
inference(backward_demodulation,[],[f530,f573]) ).
fof(f530,plain,
( identity = inverse(sk_c5)
| ~ spl5_3
| ~ spl5_34 ),
inference(backward_demodulation,[],[f70,f280]) ).
fof(f572,plain,
( ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| spl5_28
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| spl5_28
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f570,f535]) ).
fof(f570,plain,
( identity = inverse(identity)
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(forward_demodulation,[],[f562,f567]) ).
fof(f567,plain,
( identity = sk_c6
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(forward_demodulation,[],[f564,f2]) ).
fof(f564,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(backward_demodulation,[],[f486,f561]) ).
fof(f561,plain,
( identity = sk_c7
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(forward_demodulation,[],[f544,f559]) ).
fof(f559,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(backward_demodulation,[],[f399,f558]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(forward_demodulation,[],[f547,f1]) ).
fof(f547,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(backward_demodulation,[],[f425,f280]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27 ),
inference(backward_demodulation,[],[f413,f424]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c9,X0)
| ~ spl5_12
| ~ spl5_27 ),
inference(forward_demodulation,[],[f423,f1]) ).
fof(f423,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl5_12
| ~ spl5_27 ),
inference(superposition,[],[f3,f396]) ).
fof(f396,plain,
( sk_c9 = multiply(sk_c7,identity)
| ~ spl5_12
| ~ spl5_27 ),
inference(forward_demodulation,[],[f112,f219]) ).
fof(f112,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl5_12
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f413,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl5_10 ),
inference(superposition,[],[f3,f103]) ).
fof(f103,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl5_10
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f399,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl5_1 ),
inference(superposition,[],[f252,f61]) ).
fof(f61,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl5_1
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f544,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl5_1
| ~ spl5_10
| ~ spl5_34 ),
inference(backward_demodulation,[],[f414,f280]) ).
fof(f414,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl5_1
| ~ spl5_10 ),
inference(forward_demodulation,[],[f412,f61]) ).
fof(f412,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c9)
| ~ spl5_10 ),
inference(superposition,[],[f252,f103]) ).
fof(f486,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl5_1 ),
inference(superposition,[],[f252,f400]) ).
fof(f400,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl5_1 ),
inference(superposition,[],[f2,f61]) ).
fof(f562,plain,
( identity = inverse(sk_c6)
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_27
| ~ spl5_34 ),
inference(backward_demodulation,[],[f61,f561]) ).
fof(f526,plain,
( ~ spl5_1
| ~ spl5_10
| spl5_34 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| ~ spl5_1
| ~ spl5_10
| spl5_34 ),
inference(subsumption_resolution,[],[f524,f281]) ).
fof(f281,plain,
( identity != sk_c9
| spl5_34 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f524,plain,
( identity = sk_c9
| ~ spl5_1
| ~ spl5_10 ),
inference(forward_demodulation,[],[f522,f2]) ).
fof(f522,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl5_1
| ~ spl5_10 ),
inference(superposition,[],[f252,f414]) ).
fof(f517,plain,
( ~ spl5_28
| ~ spl5_27
| spl5_33 ),
inference(avatar_split_clause,[],[f516,f275,f218,f223]) ).
fof(f275,plain,
( spl5_33
<=> sk_c9 = multiply(sk_c8,inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f516,plain,
( sk_c9 != inverse(identity)
| ~ spl5_27
| spl5_33 ),
inference(superposition,[],[f389,f1]) ).
fof(f389,plain,
( sk_c9 != multiply(identity,inverse(identity))
| ~ spl5_27
| spl5_33 ),
inference(forward_demodulation,[],[f277,f219]) ).
fof(f277,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| spl5_33 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f452,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_23
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl5_3
| ~ spl5_4
| ~ spl5_23
| ~ spl5_27 ),
inference(subsumption_resolution,[],[f450,f398]) ).
fof(f398,plain,
( sk_c9 = multiply(sk_c5,identity)
| ~ spl5_4
| ~ spl5_27 ),
inference(forward_demodulation,[],[f75,f219]) ).
fof(f450,plain,
( sk_c9 != multiply(sk_c5,identity)
| ~ spl5_3
| ~ spl5_23
| ~ spl5_27 ),
inference(trivial_inequality_removal,[],[f446]) ).
fof(f446,plain,
( sk_c9 != multiply(sk_c5,identity)
| sk_c9 != sk_c9
| ~ spl5_3
| ~ spl5_23
| ~ spl5_27 ),
inference(superposition,[],[f443,f70]) ).
fof(f443,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl5_23
| ~ spl5_27 ),
inference(forward_demodulation,[],[f184,f219]) ).
fof(f439,plain,
( ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_15
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl5_1
| ~ spl5_10
| ~ spl5_12
| ~ spl5_15
| ~ spl5_27 ),
inference(subsumption_resolution,[],[f437,f396]) ).
fof(f437,plain,
( sk_c9 != multiply(sk_c7,identity)
| ~ spl5_1
| ~ spl5_10
| ~ spl5_15
| ~ spl5_27 ),
inference(subsumption_resolution,[],[f434,f103]) ).
fof(f434,plain,
( sk_c9 != multiply(sk_c6,sk_c7)
| sk_c9 != multiply(sk_c7,identity)
| ~ spl5_1
| ~ spl5_15
| ~ spl5_27 ),
inference(superposition,[],[f317,f61]) ).
fof(f317,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),identity)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl5_15
| ~ spl5_27 ),
inference(backward_demodulation,[],[f132,f219]) ).
fof(f132,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl5_15
<=> ! [X8] :
( sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f397,plain,
( ~ spl5_34
| ~ spl5_27
| spl5_29 ),
inference(avatar_split_clause,[],[f318,f227,f218,f279]) ).
fof(f227,plain,
( spl5_29
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f318,plain,
( identity != sk_c9
| ~ spl5_27
| spl5_29 ),
inference(backward_demodulation,[],[f229,f219]) ).
fof(f229,plain,
( sk_c9 != sk_c8
| spl5_29 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f395,plain,
( ~ spl5_2
| ~ spl5_8
| ~ spl5_15
| ~ spl5_27
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl5_2
| ~ spl5_8
| ~ spl5_15
| ~ spl5_27
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f323,f280]) ).
fof(f323,plain,
( identity != sk_c9
| ~ spl5_2
| ~ spl5_8
| ~ spl5_15
| ~ spl5_27 ),
inference(backward_demodulation,[],[f283,f316]) ).
fof(f316,plain,
( identity = multiply(sk_c2,sk_c9)
| ~ spl5_2
| ~ spl5_27 ),
inference(backward_demodulation,[],[f65,f219]) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl5_2
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f283,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl5_2
| ~ spl5_8
| ~ spl5_15 ),
inference(subsumption_resolution,[],[f262,f257]) ).
fof(f257,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl5_2
| ~ spl5_8 ),
inference(superposition,[],[f253,f65]) ).
fof(f253,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c2,X11)) = X11
| ~ spl5_8 ),
inference(forward_demodulation,[],[f249,f1]) ).
fof(f249,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c9,multiply(sk_c2,X11))
| ~ spl5_8 ),
inference(superposition,[],[f3,f194]) ).
fof(f262,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl5_8
| ~ spl5_15 ),
inference(superposition,[],[f132,f94]) ).
fof(f393,plain,
( ~ spl5_8
| ~ spl5_27
| spl5_33
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| ~ spl5_8
| ~ spl5_27
| spl5_33
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f391,f280]) ).
fof(f391,plain,
( identity != sk_c9
| ~ spl5_8
| ~ spl5_27
| spl5_33
| ~ spl5_34 ),
inference(forward_demodulation,[],[f390,f1]) ).
fof(f390,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl5_8
| ~ spl5_27
| spl5_33
| ~ spl5_34 ),
inference(forward_demodulation,[],[f389,f382]) ).
fof(f382,plain,
( identity = inverse(identity)
| ~ spl5_8
| ~ spl5_34 ),
inference(forward_demodulation,[],[f341,f360]) ).
fof(f360,plain,
( identity = sk_c2
| ~ spl5_8
| ~ spl5_34 ),
inference(forward_demodulation,[],[f345,f2]) ).
fof(f345,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl5_8
| ~ spl5_34 ),
inference(backward_demodulation,[],[f298,f280]) ).
fof(f341,plain,
( identity = inverse(sk_c2)
| ~ spl5_8
| ~ spl5_34 ),
inference(backward_demodulation,[],[f94,f280]) ).
fof(f339,plain,
( ~ spl5_5
| ~ spl5_6
| spl5_34 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl5_5
| ~ spl5_6
| spl5_34 ),
inference(subsumption_resolution,[],[f337,f281]) ).
fof(f337,plain,
( identity = sk_c9
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f335,f2]) ).
fof(f335,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl5_5
| ~ spl5_6 ),
inference(superposition,[],[f252,f315]) ).
fof(f315,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f295,f79]) ).
fof(f79,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl5_5
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f295,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c9)
| ~ spl5_6 ),
inference(superposition,[],[f252,f84]) ).
fof(f84,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl5_6
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f306,plain,
( spl5_27
| ~ spl5_2
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f305,f92,f63,f218]) ).
fof(f305,plain,
( identity = sk_c8
| ~ spl5_2
| ~ spl5_8 ),
inference(forward_demodulation,[],[f300,f2]) ).
fof(f300,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl5_2
| ~ spl5_8 ),
inference(superposition,[],[f252,f257]) ).
fof(f282,plain,
( ~ spl5_33
| ~ spl5_34
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f264,f131,f279,f275]) ).
fof(f264,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c8,inverse(sk_c8))
| ~ spl5_15 ),
inference(superposition,[],[f132,f2]) ).
fof(f237,plain,
( ~ spl5_11
| ~ spl5_13
| ~ spl5_19 ),
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl5_11
| ~ spl5_13
| ~ spl5_19 ),
inference(subsumption_resolution,[],[f235,f107]) ).
fof(f235,plain,
( sk_c10 != multiply(sk_c3,sk_c9)
| ~ spl5_13
| ~ spl5_19 ),
inference(trivial_inequality_removal,[],[f233]) ).
fof(f233,plain,
( sk_c10 != multiply(sk_c3,sk_c9)
| sk_c10 != sk_c10
| ~ spl5_13
| ~ spl5_19 ),
inference(superposition,[],[f160,f124]) ).
fof(f230,plain,
( ~ spl5_28
| ~ spl5_29
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f196,f136,f227,f223]) ).
fof(f136,plain,
( spl5_16
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f196,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl5_16 ),
inference(superposition,[],[f137,f1]) ).
fof(f137,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f202,plain,
( ~ spl5_2
| ~ spl5_8
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl5_2
| ~ spl5_8
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f200,f94]) ).
fof(f200,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl5_2
| ~ spl5_16 ),
inference(trivial_inequality_removal,[],[f198]) ).
fof(f198,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c2)
| ~ spl5_2
| ~ spl5_16 ),
inference(superposition,[],[f137,f65]) ).
fof(f191,plain,
( spl5_11
| spl5_4 ),
inference(avatar_split_clause,[],[f42,f73,f105]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f190,plain,
( spl5_4
| spl5_2 ),
inference(avatar_split_clause,[],[f21,f63,f73]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f189,plain,
( spl5_10
| spl5_8 ),
inference(avatar_split_clause,[],[f29,f92,f101]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f188,plain,
( spl5_7
| spl5_13 ),
inference(avatar_split_clause,[],[f32,f122,f87]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f186,plain,
( spl5_9
| spl5_13 ),
inference(avatar_split_clause,[],[f33,f122,f96]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f185,plain,
( spl5_18
| spl5_23 ),
inference(avatar_split_clause,[],[f54,f183,f155]) ).
fof(f155,plain,
( spl5_18
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f54,plain,
! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sP3 ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f180,plain,
( spl5_20
| spl5_19 ),
inference(avatar_split_clause,[],[f52,f159,f162]) ).
fof(f162,plain,
( spl5_20
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f52,plain,
! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6)
| sP2 ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f179,plain,
( spl5_13
| spl5_1 ),
inference(avatar_split_clause,[],[f37,f59,f122]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f176,plain,
( spl5_21
| spl5_22 ),
inference(avatar_split_clause,[],[f48,f174,f166]) ).
fof(f166,plain,
( spl5_21
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f48,plain,
! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sP0
| sk_c10 != inverse(X3) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f172,plain,
( spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f9,f59,f82]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f171,plain,
( spl5_11
| spl5_7 ),
inference(avatar_split_clause,[],[f39,f87,f105]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f169,plain,
( ~ spl5_14
| ~ spl5_17
| ~ spl5_18
| spl5_19
| ~ spl5_20
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f57,f166,f162,f159,f155,f139,f127]) ).
fof(f127,plain,
( spl5_14
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f139,plain,
( spl5_17
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f57,plain,
! [X5] :
( ~ sP0
| ~ sP2
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5)
| ~ sP3
| ~ sP4
| ~ sP1 ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f56,plain,
! [X4] :
( sP4
| sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f55,plain,
! [X4,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X5)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f53,plain,
! [X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X5)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f51,plain,
! [X6,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f50,plain,
! [X8] :
( sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c8)
| sP1 ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X8] :
( sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f49,plain,
! [X8,X6,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| ~ sP0 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != inverse(X7)
| sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != inverse(X7)
| sk_c9 != multiply(X8,X9)
| sk_c9 != multiply(X9,sk_c8)
| inverse(X8) != X9
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f153,plain,
( spl5_1
| spl5_11 ),
inference(avatar_split_clause,[],[f44,f105,f59]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f152,plain,
( spl5_3
| spl5_8 ),
inference(avatar_split_clause,[],[f27,f92,f68]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f149,plain,
( spl5_5
| spl5_10 ),
inference(avatar_split_clause,[],[f15,f101,f77]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f146,plain,
( spl5_3
| spl5_11 ),
inference(avatar_split_clause,[],[f41,f105,f68]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f145,plain,
( spl5_1
| spl5_5 ),
inference(avatar_split_clause,[],[f16,f77,f59]) ).
fof(f16,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f143,plain,
( spl5_12
| spl5_11 ),
inference(avatar_split_clause,[],[f45,f105,f110]) ).
fof(f45,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f142,plain,
( spl5_16
| spl5_17 ),
inference(avatar_split_clause,[],[f56,f139,f136]) ).
fof(f134,plain,
( spl5_10
| spl5_6 ),
inference(avatar_split_clause,[],[f8,f82,f101]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f133,plain,
( spl5_14
| spl5_15 ),
inference(avatar_split_clause,[],[f50,f131,f127]) ).
fof(f125,plain,
( spl5_13
| spl5_10 ),
inference(avatar_split_clause,[],[f36,f101,f122]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f119,plain,
( spl5_8
| spl5_1 ),
inference(avatar_split_clause,[],[f30,f59,f92]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f117,plain,
( spl5_11
| spl5_9 ),
inference(avatar_split_clause,[],[f40,f96,f105]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f116,plain,
( spl5_10
| spl5_2 ),
inference(avatar_split_clause,[],[f22,f63,f101]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f114,plain,
( spl5_4
| spl5_8 ),
inference(avatar_split_clause,[],[f28,f92,f73]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f113,plain,
( spl5_8
| spl5_12 ),
inference(avatar_split_clause,[],[f31,f110,f92]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f108,plain,
( spl5_10
| spl5_11 ),
inference(avatar_split_clause,[],[f43,f105,f101]) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f71,plain,
( spl5_2
| spl5_3 ),
inference(avatar_split_clause,[],[f20,f68,f63]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP245-1 : 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_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:24:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.51 % (20817)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.51 % (20832)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51 % (20828)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.52 % (20820)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.52 % (20822)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (20816)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (20840)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.52 % (20818)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.52 % (20825)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.52 % (20824)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.53 % (20820)Instruction limit reached!
% 0.22/0.53 % (20820)------------------------------
% 0.22/0.53 % (20820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (20820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (20820)Termination reason: Unknown
% 0.22/0.53 % (20820)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (20820)Memory used [KB]: 5628
% 0.22/0.53 % (20820)Time elapsed: 0.069 s
% 0.22/0.53 % (20820)Instructions burned: 7 (million)
% 0.22/0.53 % (20820)------------------------------
% 0.22/0.53 % (20820)------------------------------
% 0.22/0.53 % (20819)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53 % (20836)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.53 TRYING [1]
% 0.22/0.53 % (20835)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.53 TRYING [2]
% 0.22/0.54 % (20814)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54 % (20834)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.54 % (20823)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54 % (20813)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.54 % (20827)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.54 % (20841)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.54 % (20821)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.54 % (20821)Instruction limit reached!
% 0.22/0.54 % (20821)------------------------------
% 0.22/0.54 % (20821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (20821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (20821)Termination reason: Unknown
% 0.22/0.54 % (20821)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (20821)Memory used [KB]: 5500
% 0.22/0.54 % (20821)Time elapsed: 0.133 s
% 0.22/0.54 % (20821)Instructions burned: 3 (million)
% 0.22/0.54 % (20821)------------------------------
% 0.22/0.54 % (20821)------------------------------
% 0.22/0.54 % (20842)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.22/0.54 % (20815)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.55 % (20837)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.55 % (20838)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.55 % (20833)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.55 % (20839)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.55 TRYING [3]
% 0.22/0.55 % (20829)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55 % (20826)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55 % (20830)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.56 % (20831)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.56 TRYING [1]
% 0.22/0.56 TRYING [2]
% 0.22/0.56 TRYING [1]
% 0.22/0.56 TRYING [2]
% 0.22/0.56 TRYING [3]
% 0.22/0.56 TRYING [4]
% 0.22/0.57 % (20834)First to succeed.
% 0.22/0.57 % (20817)Instruction limit reached!
% 0.22/0.57 % (20817)------------------------------
% 0.22/0.57 % (20817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.58 TRYING [3]
% 0.22/0.58 % (20817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.58 % (20817)Termination reason: Unknown
% 0.22/0.58 % (20817)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (20817)Memory used [KB]: 6396
% 0.22/0.58 % (20817)Time elapsed: 0.146 s
% 0.22/0.58 % (20817)Instructions burned: 52 (million)
% 0.22/0.58 % (20817)------------------------------
% 0.22/0.58 % (20817)------------------------------
% 0.22/0.59 TRYING [4]
% 0.22/0.59 % (20819)Instruction limit reached!
% 0.22/0.59 % (20819)------------------------------
% 0.22/0.59 % (20819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59 % (20819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59 % (20819)Termination reason: Unknown
% 0.22/0.59 % (20819)Termination phase: Finite model building SAT solving
% 0.22/0.59
% 0.22/0.59 % (20819)Memory used [KB]: 6908
% 0.22/0.59 % (20819)Time elapsed: 0.146 s
% 0.22/0.59 % (20819)Instructions burned: 54 (million)
% 0.22/0.59 % (20819)------------------------------
% 0.22/0.59 % (20819)------------------------------
% 0.22/0.59 % (20834)Refutation found. Thanks to Tanya!
% 0.22/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59 % (20834)------------------------------
% 0.22/0.59 % (20834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59 % (20834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59 % (20834)Termination reason: Refutation
% 0.22/0.59
% 0.22/0.59 % (20834)Memory used [KB]: 5884
% 0.22/0.59 % (20834)Time elapsed: 0.169 s
% 0.22/0.59 % (20834)Instructions burned: 24 (million)
% 0.22/0.59 % (20834)------------------------------
% 0.22/0.59 % (20834)------------------------------
% 0.22/0.59 % (20812)Success in time 0.233 s
%------------------------------------------------------------------------------