TSTP Solution File: GRP305-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP305-1 : 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 : n005.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 16:21:14 EDT 2022
% Result : Unsatisfiable 2.42s 0.67s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 51
% Syntax : Number of formulae : 253 ( 6 unt; 0 def)
% Number of atoms : 905 ( 256 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1260 ( 608 ~; 629 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f943,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f51,f56,f61,f66,f74,f79,f80,f81,f86,f91,f92,f93,f94,f95,f96,f97,f105,f106,f110,f112,f113,f114,f115,f116,f117,f118,f214,f243,f253,f265,f298,f338,f344,f381,f505,f533,f552,f608,f639,f647,f662,f702,f811,f844,f850,f923]) ).
fof(f923,plain,
( ~ spl2_5
| ~ spl2_7
| ~ spl2_14
| ~ spl2_16
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| ~ spl2_5
| ~ spl2_7
| ~ spl2_14
| ~ spl2_16
| ~ spl2_21 ),
inference(subsumption_resolution,[],[f921,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f921,plain,
( identity != multiply(identity,identity)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_14
| ~ spl2_16
| ~ spl2_21 ),
inference(forward_demodulation,[],[f920,f888]) ).
fof(f888,plain,
( identity = sk_c6
| ~ spl2_5
| ~ spl2_7
| ~ spl2_16
| ~ spl2_21 ),
inference(forward_demodulation,[],[f883,f1]) ).
fof(f883,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_16
| ~ spl2_21 ),
inference(backward_demodulation,[],[f862,f302]) ).
fof(f302,plain,
( identity = sk_c4
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl2_16
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f862,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_21 ),
inference(backward_demodulation,[],[f287,f331]) ).
fof(f331,plain,
( sk_c6 = sk_c5
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl2_21
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f287,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f285,f55]) ).
fof(f55,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl2_5
<=> sk_c4 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f285,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c4)
| ~ spl2_7 ),
inference(superposition,[],[f132,f65]) ).
fof(f65,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl2_7
<=> multiply(sk_c6,sk_c5) = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f132,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f123,f1]) ).
fof(f123,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
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(f920,plain,
( sk_c6 != multiply(sk_c6,identity)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_14
| ~ spl2_16
| ~ spl2_21 ),
inference(subsumption_resolution,[],[f919,f888]) ).
fof(f919,plain,
( identity != sk_c6
| sk_c6 != multiply(sk_c6,identity)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_14
| ~ spl2_16
| ~ spl2_21 ),
inference(forward_demodulation,[],[f918,f302]) ).
fof(f918,plain,
( sk_c6 != sk_c4
| sk_c6 != multiply(sk_c6,identity)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_14
| ~ spl2_16
| ~ spl2_21 ),
inference(forward_demodulation,[],[f845,f889]) ).
fof(f889,plain,
( identity = sk_c5
| ~ spl2_5
| ~ spl2_7
| ~ spl2_16
| ~ spl2_21 ),
inference(backward_demodulation,[],[f331,f888]) ).
fof(f845,plain,
( sk_c6 != multiply(sk_c6,sk_c5)
| sk_c6 != sk_c4
| ~ spl2_5
| ~ spl2_14 ),
inference(superposition,[],[f104,f55]) ).
fof(f104,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl2_14
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f850,plain,
( ~ spl2_3
| ~ spl2_12
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f849,plain,
( $false
| ~ spl2_3
| ~ spl2_12
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f848,f46]) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl2_3
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f848,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl2_12
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f847]) ).
fof(f847,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl2_12
| ~ spl2_14 ),
inference(superposition,[],[f104,f90]) ).
fof(f90,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl2_12
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f844,plain,
( ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(subsumption_resolution,[],[f842,f78]) ).
fof(f78,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl2_10
<=> sk_c5 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f842,plain,
( sk_c5 != multiply(sk_c3,sk_c4)
| ~ spl2_11
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f840]) ).
fof(f840,plain,
( sk_c5 != sk_c5
| sk_c5 != multiply(sk_c3,sk_c4)
| ~ spl2_11
| ~ spl2_15 ),
inference(superposition,[],[f109,f85]) ).
fof(f85,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl2_11
<=> sk_c5 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f109,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl2_15
<=> ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c5 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f811,plain,
( ~ spl2_20
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12
| spl2_22 ),
inference(avatar_split_clause,[],[f609,f335,f88,f58,f53,f326]) ).
fof(f326,plain,
( spl2_20
<=> sk_c5 = multiply(sk_c2,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f58,plain,
( spl2_6
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f335,plain,
( spl2_22
<=> sk_c5 = multiply(sk_c1,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f609,plain,
( sk_c5 != multiply(sk_c2,sk_c4)
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12
| spl2_22 ),
inference(forward_demodulation,[],[f337,f352]) ).
fof(f352,plain,
( sk_c2 = sk_c1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f351,f267]) ).
fof(f267,plain,
( sk_c2 = multiply(sk_c4,identity)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f140,f55]) ).
fof(f140,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl2_12 ),
inference(superposition,[],[f132,f120]) ).
fof(f120,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl2_12 ),
inference(superposition,[],[f2,f90]) ).
fof(f351,plain,
( sk_c1 = multiply(sk_c4,identity)
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f348,f55]) ).
fof(f348,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl2_6 ),
inference(superposition,[],[f132,f272]) ).
fof(f272,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl2_6 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f337,plain,
( sk_c5 != multiply(sk_c1,sk_c4)
| spl2_22 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f702,plain,
( spl2_21
| ~ spl2_19
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f701,f341,f314,f330]) ).
fof(f314,plain,
( spl2_19
<=> sk_c6 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f341,plain,
( spl2_23
<=> sk_c5 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f701,plain,
( sk_c6 = sk_c5
| ~ spl2_19
| ~ spl2_23 ),
inference(forward_demodulation,[],[f342,f315]) ).
fof(f315,plain,
( sk_c6 = sk_c4
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f342,plain,
( sk_c5 = sk_c4
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f662,plain,
( ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12
| spl2_19 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12
| spl2_19 ),
inference(subsumption_resolution,[],[f660,f316]) ).
fof(f316,plain,
( sk_c6 != sk_c4
| spl2_19 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f660,plain,
( sk_c6 = sk_c4
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f658,f1]) ).
fof(f658,plain,
( sk_c4 = multiply(identity,sk_c6)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(backward_demodulation,[],[f357,f652]) ).
fof(f652,plain,
( identity = sk_c2
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(backward_demodulation,[],[f267,f643]) ).
fof(f643,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(backward_demodulation,[],[f268,f640]) ).
fof(f640,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f636,f634]) ).
fof(f634,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c4,X8)) = X8
| ~ spl2_5
| ~ spl2_12 ),
inference(backward_demodulation,[],[f131,f633]) ).
fof(f633,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c4,X0)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f632,f1]) ).
fof(f632,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c2,X0)
| ~ spl2_5
| ~ spl2_12 ),
inference(superposition,[],[f3,f267]) ).
fof(f131,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c2,X8)) = X8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f124,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c2,X8)) = multiply(identity,X8)
| ~ spl2_12 ),
inference(superposition,[],[f3,f120]) ).
fof(f636,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl2_1
| ~ spl2_6 ),
inference(superposition,[],[f3,f277]) ).
fof(f277,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f275,f60]) ).
fof(f275,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c4)
| ~ spl2_1 ),
inference(superposition,[],[f132,f37]) ).
fof(f37,plain,
( sk_c4 = multiply(sk_c1,sk_c6)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_1
<=> sk_c4 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f268,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl2_5 ),
inference(superposition,[],[f132,f55]) ).
fof(f357,plain,
( sk_c4 = multiply(sk_c2,sk_c6)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_12 ),
inference(backward_demodulation,[],[f37,f352]) ).
fof(f647,plain,
( ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_12
| spl2_23 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_12
| spl2_23 ),
inference(subsumption_resolution,[],[f645,f343]) ).
fof(f343,plain,
( sk_c5 != sk_c4
| spl2_23 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f645,plain,
( sk_c5 = sk_c4
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_12 ),
inference(backward_demodulation,[],[f65,f640]) ).
fof(f639,plain,
( ~ spl2_1
| ~ spl2_6
| spl2_16 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl2_1
| ~ spl2_6
| spl2_16 ),
inference(subsumption_resolution,[],[f637,f303]) ).
fof(f303,plain,
( identity != sk_c4
| spl2_16 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f637,plain,
( identity = sk_c4
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f635,f2]) ).
fof(f635,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_1
| ~ spl2_6 ),
inference(superposition,[],[f132,f277]) ).
fof(f608,plain,
( spl2_2
| ~ spl2_7
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| spl2_2
| ~ spl2_7
| ~ spl2_21 ),
inference(subsumption_resolution,[],[f590,f605]) ).
fof(f605,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f65,f331]) ).
fof(f590,plain,
( sk_c4 != multiply(sk_c6,sk_c6)
| spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f40,f331]) ).
fof(f40,plain,
( sk_c4 != multiply(sk_c5,sk_c6)
| spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_2
<=> sk_c4 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f552,plain,
( ~ spl2_5
| ~ spl2_7
| ~ spl2_16
| spl2_23 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl2_5
| ~ spl2_7
| ~ spl2_16
| spl2_23 ),
inference(subsumption_resolution,[],[f550,f514]) ).
fof(f514,plain,
( identity != sk_c5
| ~ spl2_16
| spl2_23 ),
inference(forward_demodulation,[],[f343,f302]) ).
fof(f550,plain,
( identity = sk_c5
| ~ spl2_5
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f549,f1]) ).
fof(f549,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl2_5
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f287,f302]) ).
fof(f533,plain,
( ~ spl2_5
| ~ spl2_16
| spl2_19 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl2_5
| ~ spl2_16
| spl2_19 ),
inference(subsumption_resolution,[],[f531,f528]) ).
fof(f528,plain,
( identity != sk_c6
| ~ spl2_16
| spl2_19 ),
inference(forward_demodulation,[],[f316,f302]) ).
fof(f531,plain,
( identity = sk_c6
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f530,f2]) ).
fof(f530,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f345,f302]) ).
fof(f345,plain,
( sk_c6 = multiply(inverse(sk_c4),identity)
| ~ spl2_5 ),
inference(superposition,[],[f132,f269]) ).
fof(f269,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl2_5 ),
inference(superposition,[],[f2,f55]) ).
fof(f505,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6
| ~ spl2_16
| ~ spl2_19
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6
| ~ spl2_16
| ~ spl2_19
| ~ spl2_21 ),
inference(subsumption_resolution,[],[f503,f302]) ).
fof(f503,plain,
( identity != sk_c4
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6
| ~ spl2_19
| ~ spl2_21 ),
inference(forward_demodulation,[],[f502,f1]) ).
fof(f502,plain,
( sk_c4 != multiply(identity,identity)
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6
| ~ spl2_19
| ~ spl2_21 ),
inference(forward_demodulation,[],[f501,f470]) ).
fof(f470,plain,
( identity = sk_c5
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_19
| ~ spl2_21 ),
inference(forward_demodulation,[],[f331,f416]) ).
fof(f416,plain,
( identity = sk_c6
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_19 ),
inference(backward_demodulation,[],[f398,f397]) ).
fof(f397,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl2_5
| ~ spl2_19 ),
inference(backward_demodulation,[],[f269,f315]) ).
fof(f398,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_19 ),
inference(backward_demodulation,[],[f277,f315]) ).
fof(f501,plain,
( sk_c4 != multiply(sk_c5,identity)
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f40,f416]) ).
fof(f381,plain,
( spl2_20
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f380,f88,f44,f39,f326]) ).
fof(f380,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f368,f146]) ).
fof(f146,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f143,f90]) ).
fof(f143,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl2_3 ),
inference(superposition,[],[f132,f46]) ).
fof(f368,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c2,sk_c4)
| ~ spl2_2
| ~ spl2_3 ),
inference(superposition,[],[f127,f41]) ).
fof(f41,plain,
( sk_c4 = multiply(sk_c5,sk_c6)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f127,plain,
( ! [X11] : multiply(sk_c2,multiply(sk_c5,X11)) = multiply(sk_c6,X11)
| ~ spl2_3 ),
inference(superposition,[],[f3,f46]) ).
fof(f344,plain,
( ~ spl2_23
| ~ spl2_21
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f339,f108,f58,f53,f35,f330,f341]) ).
fof(f339,plain,
( sk_c6 != sk_c5
| sk_c5 != sk_c4
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f322,f277]) ).
fof(f322,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != sk_c4
| ~ spl2_5
| ~ spl2_15 ),
inference(superposition,[],[f109,f55]) ).
fof(f338,plain,
( ~ spl2_22
| ~ spl2_21
| ~ spl2_6
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f323,f108,f58,f330,f335]) ).
fof(f323,plain,
( sk_c6 != sk_c5
| sk_c5 != multiply(sk_c1,sk_c4)
| ~ spl2_6
| ~ spl2_15 ),
inference(superposition,[],[f109,f60]) ).
fof(f298,plain,
( ~ spl2_1
| ~ spl2_6
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| ~ spl2_1
| ~ spl2_6
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f296,f60]) ).
fof(f296,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl2_1
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f294,plain,
( sk_c4 != sk_c4
| sk_c6 != inverse(sk_c1)
| ~ spl2_1
| ~ spl2_9 ),
inference(superposition,[],[f73,f37]) ).
fof(f73,plain,
( ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl2_9
<=> ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f265,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f263,f1]) ).
fof(f263,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(superposition,[],[f258,f204]) ).
fof(f204,plain,
( identity = inverse(identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f195,f202]) ).
fof(f202,plain,
( identity = sk_c2
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f198,f2]) ).
fof(f198,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f140,f194]) ).
fof(f194,plain,
( identity = sk_c6
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f191,f2]) ).
fof(f191,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f171,f190]) ).
fof(f190,plain,
( sk_c6 = sk_c4
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f155,f187]) ).
fof(f187,plain,
( ! [X9] : multiply(sk_c4,X9) = X9
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f184,f186]) ).
fof(f186,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f185,f132]) ).
fof(f185,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f178,f184]) ).
fof(f178,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c6),multiply(sk_c4,X0))
| ~ spl2_2
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f153,f160]) ).
fof(f160,plain,
( sk_c6 = sk_c5
| ~ spl2_2
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f158,f141]) ).
fof(f141,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl2_2 ),
inference(superposition,[],[f132,f41]) ).
fof(f158,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c4)
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f132,f147]) ).
fof(f147,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f144,f85]) ).
fof(f144,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c5)
| ~ spl2_10 ),
inference(superposition,[],[f132,f78]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c4,X0))
| ~ spl2_2 ),
inference(superposition,[],[f132,f125]) ).
fof(f125,plain,
( ! [X9] : multiply(sk_c5,multiply(sk_c6,X9)) = multiply(sk_c4,X9)
| ~ spl2_2 ),
inference(superposition,[],[f3,f41]) ).
fof(f184,plain,
( ! [X9] : multiply(sk_c4,X9) = multiply(sk_c6,X9)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f167,f176]) ).
fof(f176,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f150,f160]) ).
fof(f150,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl2_3
| ~ spl2_12 ),
inference(superposition,[],[f3,f146]) ).
fof(f167,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c6,X9)) = multiply(sk_c4,X9)
| ~ spl2_2
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f125,f160]) ).
fof(f155,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f152,f147]) ).
fof(f152,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c5)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(superposition,[],[f125,f146]) ).
fof(f171,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c4)
| ~ spl2_2
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f141,f160]) ).
fof(f195,plain,
( identity = inverse(sk_c2)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f90,f194]) ).
fof(f258,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f257,f201]) ).
fof(f201,plain,
( identity = sk_c4
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f190,f194]) ).
fof(f257,plain,
( ! [X3] :
( sk_c4 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f256,f194]) ).
fof(f256,plain,
( ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| identity != inverse(X3) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f73,f194]) ).
fof(f253,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_5
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| spl2_5
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f251,f201]) ).
fof(f251,plain,
( identity != sk_c4
| ~ spl2_2
| ~ spl2_3
| spl2_5
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f250,f204]) ).
fof(f250,plain,
( sk_c4 != inverse(identity)
| ~ spl2_2
| ~ spl2_3
| spl2_5
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f54,f194]) ).
fof(f54,plain,
( sk_c4 != inverse(sk_c6)
| spl2_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f243,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f241,f194]) ).
fof(f241,plain,
( identity != sk_c6
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f240,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f239,f199]) ).
fof(f199,plain,
( identity = sk_c5
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f160,f194]) ).
fof(f239,plain,
( sk_c6 != multiply(sk_c5,identity)
| ~ spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f49,f201]) ).
fof(f49,plain,
( sk_c6 != multiply(sk_c5,sk_c4)
| spl2_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl2_4
<=> sk_c6 = multiply(sk_c5,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f214,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f212,f194]) ).
fof(f212,plain,
( identity != sk_c6
| ~ spl2_2
| ~ spl2_3
| spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f189,f201]) ).
fof(f189,plain,
( sk_c6 != sk_c4
| ~ spl2_2
| ~ spl2_3
| spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(backward_demodulation,[],[f163,f186]) ).
fof(f163,plain,
( sk_c4 != multiply(sk_c6,sk_c6)
| ~ spl2_2
| spl2_7
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f64,f160]) ).
fof(f64,plain,
( multiply(sk_c6,sk_c5) != sk_c4
| spl2_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f118,plain,
( spl2_11
| spl2_4 ),
inference(avatar_split_clause,[],[f12,f48,f83]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f117,plain,
( spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f21,f35,f44]) ).
fof(f21,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f116,plain,
( spl2_7
| spl2_12 ),
inference(avatar_split_clause,[],[f5,f88,f63]) ).
fof(f5,axiom,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f115,plain,
( spl2_6
| spl2_2 ),
inference(avatar_split_clause,[],[f24,f39,f58]) ).
fof(f24,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f114,plain,
( spl2_6
| spl2_12 ),
inference(avatar_split_clause,[],[f25,f88,f58]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f113,plain,
( spl2_11
| spl2_5 ),
inference(avatar_split_clause,[],[f17,f53,f83]) ).
fof(f17,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f112,plain,
( spl2_6
| spl2_11 ),
inference(avatar_split_clause,[],[f27,f83,f58]) ).
fof(f27,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f110,plain,
( ~ spl2_8
| ~ spl2_2
| spl2_15
| ~ spl2_4
| ~ spl2_7
| ~ spl2_13
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f33,f53,f99,f63,f48,f108,f39,f68]) ).
fof(f68,plain,
( spl2_8
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f99,plain,
( spl2_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f33,plain,
! [X5] :
( sk_c4 != inverse(sk_c6)
| ~ sP1
| multiply(sk_c6,sk_c5) != sk_c4
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c5 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f32,plain,
! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sP1 ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X4,X5] :
( sk_c5 != multiply(X5,sk_c4)
| multiply(sk_c6,sk_c5) != sk_c4
| sk_c4 != inverse(sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c5 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f29,axiom,
! [X3,X4,X5] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c5 != multiply(X5,sk_c4)
| multiply(sk_c6,sk_c5) != sk_c4
| sk_c4 != inverse(sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c5 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f106,plain,
( spl2_7
| spl2_11 ),
inference(avatar_split_clause,[],[f7,f83,f63]) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c3)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f105,plain,
( spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f32,f103,f99]) ).
fof(f97,plain,
( spl2_4
| spl2_10 ),
inference(avatar_split_clause,[],[f13,f76,f48]) ).
fof(f13,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c5,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f96,plain,
( spl2_10
| spl2_5 ),
inference(avatar_split_clause,[],[f18,f53,f76]) ).
fof(f18,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f95,plain,
( spl2_12
| spl2_1 ),
inference(avatar_split_clause,[],[f20,f35,f88]) ).
fof(f20,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f94,plain,
( spl2_7
| spl2_10 ),
inference(avatar_split_clause,[],[f8,f76,f63]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f93,plain,
( spl2_12
| spl2_4 ),
inference(avatar_split_clause,[],[f10,f48,f88]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f92,plain,
( spl2_5
| spl2_3 ),
inference(avatar_split_clause,[],[f16,f44,f53]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f91,plain,
( spl2_5
| spl2_12 ),
inference(avatar_split_clause,[],[f15,f88,f53]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f86,plain,
( spl2_11
| spl2_1 ),
inference(avatar_split_clause,[],[f22,f35,f83]) ).
fof(f22,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f81,plain,
( spl2_7
| spl2_2 ),
inference(avatar_split_clause,[],[f4,f39,f63]) ).
fof(f4,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f80,plain,
( spl2_6
| spl2_10 ),
inference(avatar_split_clause,[],[f28,f76,f58]) ).
fof(f28,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f79,plain,
( spl2_10
| spl2_1 ),
inference(avatar_split_clause,[],[f23,f35,f76]) ).
fof(f23,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f74,plain,
( spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f30,f72,f68]) ).
fof(f66,plain,
( spl2_3
| spl2_7 ),
inference(avatar_split_clause,[],[f6,f63,f44]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f61,plain,
( spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f26,f58,f44]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f56,plain,
( spl2_5
| spl2_2 ),
inference(avatar_split_clause,[],[f14,f39,f53]) ).
fof(f14,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f51,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f11,f48,f44]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f42,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f19,f39,f35]) ).
fof(f19,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| sk_c4 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP305-1 : 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:28:48 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.21/0.57 % (1077)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)
% 0.21/0.57 % (1069)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)
% 0.21/0.57 % (1055)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)
% 0.21/0.58 % (1061)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.59 % (1059)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)
% 1.62/0.59 % (1061)Instruction limit reached!
% 1.62/0.59 % (1061)------------------------------
% 1.62/0.59 % (1061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (1061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (1061)Termination reason: Unknown
% 1.62/0.59 % (1061)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (1061)Memory used [KB]: 5500
% 1.62/0.59 % (1061)Time elapsed: 0.108 s
% 1.62/0.59 % (1061)Instructions burned: 8 (million)
% 1.62/0.59 % (1061)------------------------------
% 1.62/0.59 % (1061)------------------------------
% 1.62/0.60 % (1075)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.62/0.60 % (1058)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.60 % (1063)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)
% 1.62/0.61 % (1056)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)
% 1.62/0.61 % (1057)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)
% 2.08/0.61 % (1083)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)
% 2.08/0.62 % (1054)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)
% 2.08/0.62 % (1060)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)
% 2.08/0.62 TRYING [1]
% 2.08/0.62 TRYING [2]
% 2.08/0.62 TRYING [1]
% 2.08/0.62 TRYING [2]
% 2.08/0.62 % (1080)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.08/0.62 TRYING [3]
% 2.08/0.63 % (1071)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.08/0.63 % (1066)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.08/0.63 % (1073)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)
% 2.08/0.63 % (1062)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.08/0.63 % (1082)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)
% 2.08/0.63 % (1062)Instruction limit reached!
% 2.08/0.63 % (1062)------------------------------
% 2.08/0.63 % (1062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63 % (1062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63 % (1062)Termination reason: Unknown
% 2.08/0.63 % (1062)Termination phase: Saturation
% 2.08/0.63
% 2.08/0.63 % (1062)Memory used [KB]: 5373
% 2.08/0.63 % (1062)Time elapsed: 0.003 s
% 2.08/0.63 % (1062)Instructions burned: 2 (million)
% 2.08/0.63 % (1062)------------------------------
% 2.08/0.63 % (1062)------------------------------
% 2.08/0.63 % (1064)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.08/0.64 % (1067)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.08/0.64 % (1078)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.08/0.64 % (1065)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)
% 2.08/0.64 % (1068)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)
% 2.08/0.64 % (1084)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.08/0.64 % (1072)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.08/0.64 TRYING [3]
% 2.08/0.65 % (1085)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)
% 2.08/0.65 TRYING [4]
% 2.08/0.65 % (1070)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)
% 2.08/0.65 TRYING [4]
% 2.08/0.65 TRYING [1]
% 2.08/0.65 % (1076)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)
% 2.08/0.65 TRYING [2]
% 2.08/0.65 % (1074)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)
% 2.08/0.65 TRYING [3]
% 2.42/0.67 % (1075)First to succeed.
% 2.42/0.67 % (1075)Refutation found. Thanks to Tanya!
% 2.42/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.42/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.67 % (1075)------------------------------
% 2.42/0.67 % (1075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.67 % (1075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.67 % (1075)Termination reason: Refutation
% 2.42/0.67
% 2.42/0.67 % (1075)Memory used [KB]: 5884
% 2.42/0.67 % (1075)Time elapsed: 0.225 s
% 2.42/0.67 % (1075)Instructions burned: 29 (million)
% 2.42/0.67 % (1075)------------------------------
% 2.42/0.67 % (1075)------------------------------
% 2.42/0.67 % (1053)Success in time 0.315 s
%------------------------------------------------------------------------------