TSTP Solution File: GRP381-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP381-1 : 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 : n004.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 16:21:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 47
% Syntax : Number of formulae : 223 ( 6 unt; 0 def)
% Number of atoms : 957 ( 251 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1460 ( 726 ~; 713 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1248,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f68,f78,f83,f91,f92,f93,f98,f100,f101,f102,f104,f112,f121,f122,f123,f128,f131,f132,f133,f134,f136,f137,f138,f142,f287,f291,f395,f418,f442,f619,f635,f912,f944,f965,f984,f1004,f1247]) ).
fof(f1247,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1245,f283]) ).
fof(f283,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f231,f282]) ).
fof(f282,plain,
( sk_c6 = sk_c3
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f281,f252]) ).
fof(f252,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f155,f247]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f245,f231]) ).
fof(f245,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c6)
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f155,f232]) ).
fof(f232,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f97,f227]) ).
fof(f227,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9 ),
inference(backward_demodulation,[],[f175,f176]) ).
fof(f176,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_6
| ~ spl3_9 ),
inference(superposition,[],[f155,f157]) ).
fof(f157,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_6
| ~ spl3_9 ),
inference(superposition,[],[f154,f82]) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f154,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c4,X10)) = X10
| ~ spl3_6 ),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f150,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c6,multiply(sk_c4,X10))
| ~ spl3_6 ),
inference(superposition,[],[f3,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl3_6 ),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_6
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
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(f175,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_2 ),
inference(superposition,[],[f155,f48]) ).
fof(f48,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_2
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_12
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f155,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f281,plain,
( sk_c3 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f239,f272]) ).
fof(f272,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f252,f2]) ).
fof(f239,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9 ),
inference(backward_demodulation,[],[f171,f227]) ).
fof(f171,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_4 ),
inference(superposition,[],[f155,f143]) ).
fof(f143,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl3_4 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_4
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f231,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9 ),
inference(backward_demodulation,[],[f57,f227]) ).
fof(f1245,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1241,f283]) ).
fof(f1241,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f1238]) ).
fof(f1238,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(superposition,[],[f1202,f278]) ).
fof(f278,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f2,f272]) ).
fof(f1202,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1201,f227]) ).
fof(f1201,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f141,f227]) ).
fof(f141,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl3_18
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f1004,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1002,f654]) ).
fof(f654,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17 ),
inference(backward_demodulation,[],[f127,f637]) ).
fof(f637,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f478,f614]) ).
fof(f614,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1,f608]) ).
fof(f608,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f600,f452]) ).
fof(f452,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_demodulation,[],[f450,f44]) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_1
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f450,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_3 ),
inference(superposition,[],[f155,f53]) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl3_3
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f600,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl3_17 ),
inference(superposition,[],[f2,f127]) ).
fof(f478,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8 ),
inference(backward_demodulation,[],[f77,f473]) ).
fof(f473,plain,
( sk_c6 = sk_c5
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(backward_demodulation,[],[f48,f452]) ).
fof(f77,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f127,plain,
( inverse(sk_c7) = sk_c6
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl3_17
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f1002,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1001,f654]) ).
fof(f1001,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1000,f654]) ).
fof(f1000,plain,
( sk_c6 != inverse(inverse(inverse(sk_c6)))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f992,f654]) ).
fof(f992,plain,
( sk_c6 != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f990]) ).
fof(f990,plain,
( sk_c6 != inverse(inverse(inverse(inverse(sk_c6))))
| sk_c6 != sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f800,f787]) ).
fof(f787,plain,
( ! [X0] : sk_c6 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_17 ),
inference(superposition,[],[f155,f724]) ).
fof(f724,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_17 ),
inference(superposition,[],[f155,f609]) ).
fof(f609,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_17 ),
inference(backward_demodulation,[],[f2,f608]) ).
fof(f800,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f799,f637]) ).
fof(f799,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f120,f637]) ).
fof(f120,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl3_16
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f984,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_14
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f983,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_14
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f972,f654]) ).
fof(f972,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f971]) ).
fof(f971,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14
| ~ spl3_17 ),
inference(superposition,[],[f966,f614]) ).
fof(f966,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f111,f473]) ).
fof(f111,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl3_14
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f965,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f964,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f953,f654]) ).
fof(f953,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f952]) ).
fof(f952,plain,
( sk_c6 != inverse(sk_c6)
| sk_c6 != sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(superposition,[],[f923,f614]) ).
fof(f923,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f90,f637]) ).
fof(f90,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_11
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f944,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f942,f654]) ).
fof(f942,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_6
| ~ spl3_9
| ~ spl3_17 ),
inference(backward_demodulation,[],[f66,f933]) ).
fof(f933,plain,
( sk_c6 = sk_c4
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_9
| ~ spl3_17 ),
inference(superposition,[],[f927,f609]) ).
fof(f927,plain,
( ! [X0] : multiply(inverse(sk_c4),X0) = X0
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_9
| ~ spl3_17 ),
inference(superposition,[],[f155,f700]) ).
fof(f700,plain,
( ! [X12] : multiply(sk_c4,X12) = X12
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f699,f614]) ).
fof(f699,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c6,X12)) = X12
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f698,f473]) ).
fof(f698,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c5,X12)) = X12
| ~ spl3_1
| ~ spl3_3
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f152,f614]) ).
fof(f152,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c5,X12)) = multiply(sk_c6,X12)
| ~ spl3_9 ),
inference(superposition,[],[f3,f82]) ).
fof(f66,plain,
( sk_c6 != inverse(sk_c4)
| spl3_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f912,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f910,f654]) ).
fof(f910,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f909,f654]) ).
fof(f909,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f908,f654]) ).
fof(f908,plain,
( sk_c6 != inverse(inverse(inverse(sk_c6)))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f900,f654]) ).
fof(f900,plain,
( sk_c6 != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f898]) ).
fof(f898,plain,
( sk_c6 != inverse(inverse(inverse(inverse(sk_c6))))
| sk_c6 != sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(superposition,[],[f833,f787]) ).
fof(f833,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f832,f637]) ).
fof(f832,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f141,f637]) ).
fof(f635,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f625,f633]) ).
fof(f633,plain,
( sk_c7 != sk_c6
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17 ),
inference(superposition,[],[f621,f626]) ).
fof(f626,plain,
( sk_c7 = sk_c5
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17 ),
inference(superposition,[],[f614,f77]) ).
fof(f621,plain,
( sk_c6 != sk_c5
| ~ spl3_1
| spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f47,f452]) ).
fof(f47,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f625,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_17 ),
inference(superposition,[],[f614,f452]) ).
fof(f619,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_12
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f616,f455]) ).
fof(f455,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_5
| ~ spl3_7 ),
inference(forward_demodulation,[],[f453,f72]) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl3_7
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f453,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_5 ),
inference(superposition,[],[f155,f62]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_5
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f616,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_8
| spl3_12
| ~ spl3_17 ),
inference(backward_demodulation,[],[f96,f615]) ).
fof(f615,plain,
( sk_c7 = sk_c3
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f610,f478]) ).
fof(f610,plain,
( sk_c3 = multiply(sk_c6,sk_c6)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_17 ),
inference(backward_demodulation,[],[f465,f608]) ).
fof(f465,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f463,f127]) ).
fof(f463,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_4 ),
inference(superposition,[],[f155,f143]) ).
fof(f96,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f442,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f440,f283]) ).
fof(f440,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f439,f283]) ).
fof(f439,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f438,f283]) ).
fof(f438,plain,
( sk_c6 != inverse(inverse(inverse(sk_c6)))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f427,f283]) ).
fof(f427,plain,
( sk_c6 != inverse(inverse(inverse(inverse(sk_c6))))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f424,plain,
( sk_c6 != inverse(inverse(inverse(inverse(sk_c6))))
| sk_c6 != sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f420,f329]) ).
fof(f329,plain,
( ! [X0] : sk_c6 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f155,f303]) ).
fof(f303,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f155,f278]) ).
fof(f420,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f419,f227]) ).
fof(f419,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f120,f227]) ).
fof(f418,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f416,f283]) ).
fof(f416,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f403,f283]) ).
fof(f403,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f398]) ).
fof(f398,plain,
( sk_c6 != inverse(inverse(sk_c6))
| sk_c6 != sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f396,f278]) ).
fof(f396,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f111,f251]) ).
fof(f251,plain,
( sk_c6 = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f157,f247]) ).
fof(f395,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f380,f283]) ).
fof(f380,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f378]) ).
fof(f378,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f293,f247]) ).
fof(f293,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f90,f227]) ).
fof(f291,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f289,f227]) ).
fof(f289,plain,
( sk_c7 != sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f288,f247]) ).
fof(f288,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f76,f251]) ).
fof(f76,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl3_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f287,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| spl3_17 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| spl3_17 ),
inference(subsumption_resolution,[],[f283,f233]) ).
fof(f233,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_6
| ~ spl3_9
| spl3_17 ),
inference(backward_demodulation,[],[f126,f227]) ).
fof(f126,plain,
( inverse(sk_c7) != sk_c6
| spl3_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f142,plain,
( ~ spl3_10
| ~ spl3_2
| ~ spl3_8
| ~ spl3_13
| ~ spl3_17
| ~ spl3_15
| spl3_18 ),
inference(avatar_split_clause,[],[f40,f140,f115,f125,f106,f75,f46,f85]) ).
fof(f85,plain,
( spl3_10
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f106,plain,
( spl3_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f115,plain,
( spl3_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f40,plain,
! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0
| inverse(sk_c7) != sk_c6
| ~ sP1
| sk_c7 != multiply(sk_c6,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5
| ~ sP2 ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f39,plain,
! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sP2 ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f38,plain,
! [X4,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c6)
| inverse(sk_c7) != sk_c6
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(sk_c6,sk_c5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f37,plain,
! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sP1 ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f36,plain,
! [X6,X4,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c6)
| inverse(sk_c7) != sk_c6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(sk_c6,sk_c5)
| ~ sP0 ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f35,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sP0
| sk_c7 != inverse(X3) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c6)
| inverse(sk_c7) != sk_c6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f138,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f13,f75,f80]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f137,plain,
( spl3_17
| spl3_2 ),
inference(avatar_split_clause,[],[f4,f46,f125]) ).
fof(f4,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f136,plain,
( spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f30,f55,f42]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f134,plain,
( spl3_9
| spl3_17 ),
inference(avatar_split_clause,[],[f8,f125,f80]) ).
fof(f8,axiom,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f133,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f27,f65,f51]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f132,plain,
( spl3_4
| spl3_17 ),
inference(avatar_split_clause,[],[f5,f125,f55]) ).
fof(f5,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f131,plain,
( spl3_12
| spl3_17 ),
inference(avatar_split_clause,[],[f6,f125,f95]) ).
fof(f6,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f128,plain,
( spl3_17
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f65,f125]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f123,plain,
( spl3_5
| spl3_12 ),
inference(avatar_split_clause,[],[f16,f95,f60]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f122,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f24,f46,f51]) ).
fof(f24,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f121,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f35,f119,f115]) ).
fof(f112,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f37,f110,f106]) ).
fof(f104,plain,
( spl3_8
| spl3_12 ),
inference(avatar_split_clause,[],[f11,f95,f75]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f102,plain,
( spl3_12
| spl3_3 ),
inference(avatar_split_clause,[],[f26,f51,f95]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f101,plain,
( spl3_12
| spl3_7 ),
inference(avatar_split_clause,[],[f21,f70,f95]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f100,plain,
( spl3_1
| spl3_9 ),
inference(avatar_split_clause,[],[f33,f80,f42]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f98,plain,
( spl3_12
| spl3_1 ),
inference(avatar_split_clause,[],[f31,f42,f95]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f93,plain,
( spl3_8
| spl3_6 ),
inference(avatar_split_clause,[],[f12,f65,f75]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f92,plain,
( spl3_8
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f46,f75]) ).
fof(f9,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f91,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f39,f89,f85]) ).
fof(f83,plain,
( spl3_9
| spl3_3 ),
inference(avatar_split_clause,[],[f28,f51,f80]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f78,plain,
( spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f10,f55,f75]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f68,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f32,f65,f42]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f58,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f25,f55,f51]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f29,f46,f42]) ).
fof(f29,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP381-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:23:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (14611)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (14612)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)
% 0.19/0.52 % (14619)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (14624)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (14632)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 % (14607)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)
% 0.19/0.57 % (14618)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)
% 0.19/0.57 % (14612)First to succeed.
% 0.19/0.57 % (14633)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)
% 0.19/0.58 % (14612)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (14612)------------------------------
% 0.19/0.58 % (14612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (14612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (14612)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (14612)Memory used [KB]: 5884
% 0.19/0.58 % (14612)Time elapsed: 0.149 s
% 0.19/0.58 % (14612)Instructions burned: 40 (million)
% 0.19/0.58 % (14612)------------------------------
% 0.19/0.58 % (14612)------------------------------
% 0.19/0.58 % (14606)Success in time 0.226 s
%------------------------------------------------------------------------------