TSTP Solution File: GRP126-3.004 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Sun May 5 05:53:35 EDT 2024
% Result : Unsatisfiable 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 52
% Syntax : Number of formulae : 163 ( 32 unt; 0 def)
% Number of atoms : 380 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 389 ( 172 ~; 192 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 26 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f975,plain,
$false,
inference(avatar_sat_refutation,[],[f133,f167,f194,f228,f243,f298,f310,f444,f461,f468,f598,f607,f640,f647,f654,f673,f680,f790,f794,f797,f805,f808,f818,f850,f898,f974]) ).
fof(f974,plain,
( ~ spl0_10
| ~ spl0_23
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| ~ spl0_10
| ~ spl0_23
| spl0_43 ),
inference(subsumption_resolution,[],[f972,f288]) ).
fof(f288,plain,
( ~ product(e_4,e_3,e_2)
| spl0_43 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl0_43
<=> product(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f972,plain,
( product(e_4,e_3,e_2)
| ~ spl0_10
| ~ spl0_23 ),
inference(resolution,[],[f822,f193]) ).
fof(f193,plain,
( product(e_1,e_2,e_4)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl0_23
<=> product(e_1,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f822,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_3,e_2) )
| ~ spl0_10 ),
inference(resolution,[],[f128,f43]) ).
fof(f43,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X5)
| ~ product(X0,X1,X4)
| product(X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
fof(f128,plain,
( product(e_2,e_1,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_10
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f898,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f896,f37]) ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f896,plain,
( equalish(e_4,e_3)
| ~ spl0_45 ),
inference(resolution,[],[f297,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f40,f42]) ).
fof(f42,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| ~ product(X0,X2,X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f297,plain,
( product(e_4,e_3,e_4)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl0_45
<=> product(e_4,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f850,plain,
( ~ spl0_17
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f849,plain,
( $false
| ~ spl0_17
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f843,f32]) ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f843,plain,
( equalish(e_3,e_1)
| ~ spl0_17
| ~ spl0_43 ),
inference(resolution,[],[f158,f701]) ).
fof(f701,plain,
( ! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(e_3,X0) )
| ~ spl0_43 ),
inference(resolution,[],[f289,f40]) ).
fof(f289,plain,
( product(e_4,e_3,e_2)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f158,plain,
( product(e_4,e_1,e_2)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl0_17
<=> product(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f818,plain,
( ~ spl0_32
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl0_32
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f813,f6]) ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_0) ).
fof(f813,plain,
( ~ greater(e_2,e_0)
| ~ spl0_32
| ~ spl0_69 ),
inference(resolution,[],[f530,f237]) ).
fof(f237,plain,
( ! [X1] :
( ~ cycle(e_2,X1)
| ~ greater(X1,e_0) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_32
<=> ! [X1] :
( ~ cycle(e_2,X1)
| ~ greater(X1,e_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f530,plain,
( cycle(e_2,e_2)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl0_69
<=> cycle(e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f808,plain,
( spl0_68
| spl0_69
| spl0_70
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f807,f236,f532,f528,f524]) ).
fof(f524,plain,
( spl0_68
<=> cycle(e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f532,plain,
( spl0_70
<=> cycle(e_2,e_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f807,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f806,f23]) ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f806,plain,
( cycle(e_2,e_0)
| ~ group_element(e_2)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f803,f7]) ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_0) ).
fof(f803,plain,
( ~ greater(e_3,e_0)
| cycle(e_2,e_0)
| ~ group_element(e_2)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ spl0_32 ),
inference(resolution,[],[f237,f16]) ).
fof(f16,axiom,
! [X0] :
( cycle(X0,e_3)
| cycle(X0,e_0)
| ~ group_element(X0)
| cycle(X0,e_2)
| cycle(X0,e_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle2) ).
fof(f805,plain,
( ~ spl0_32
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl0_32
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f802,f5]) ).
fof(f5,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_greater_e_0) ).
fof(f802,plain,
( ~ greater(e_1,e_0)
| ~ spl0_32
| ~ spl0_68 ),
inference(resolution,[],[f237,f526]) ).
fof(f526,plain,
( cycle(e_2,e_1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f797,plain,
~ spl0_74,
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f795,f37]) ).
fof(f795,plain,
( equalish(e_4,e_3)
| ~ spl0_74 ),
inference(resolution,[],[f793,f3]) ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
fof(f793,plain,
( ! [X0] :
( ~ next(e_2,X0)
| equalish(e_4,X0) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl0_74
<=> ! [X0] :
( ~ next(e_2,X0)
| equalish(e_4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f794,plain,
( spl0_32
| spl0_74
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f608,f130,f792,f236]) ).
fof(f130,plain,
( spl0_11
<=> product(e_2,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f608,plain,
( ! [X0,X1] :
( ~ next(e_2,X0)
| ~ cycle(e_2,X1)
| equalish(e_4,X0)
| ~ greater(X1,e_0) )
| ~ spl0_11 ),
inference(resolution,[],[f132,f21]) ).
fof(f21,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,e_1,X2)
| ~ next(X0,X6)
| ~ cycle(X0,X1)
| equalish(X2,X6)
| ~ greater(X1,e_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle7) ).
fof(f132,plain,
( product(e_2,e_1,e_4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f790,plain,
( ~ spl0_11
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl0_11
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f788,f13]) ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
fof(f788,plain,
( ~ greater(e_4,e_2)
| ~ spl0_11
| ~ spl0_70 ),
inference(resolution,[],[f539,f132]) ).
fof(f539,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| ~ greater(X0,e_2) )
| ~ spl0_70 ),
inference(resolution,[],[f534,f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ cycle(X0,e_0)
| ~ greater(X1,X0)
| ~ product(X0,e_1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle6) ).
fof(f534,plain,
( cycle(e_2,e_0)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f680,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f679,plain,
( $false
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f678,f36]) ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f678,plain,
( equalish(e_4,e_2)
| ~ spl0_31 ),
inference(resolution,[],[f227,f47]) ).
fof(f227,plain,
( product(e_4,e_2,e_4)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_31
<=> product(e_4,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f673,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f671,f34]) ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f671,plain,
( equalish(e_3,e_4)
| ~ spl0_44 ),
inference(resolution,[],[f293,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f41,f42]) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f293,plain,
( product(e_4,e_3,e_3)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl0_44
<=> product(e_4,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f654,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl0_22
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f648,f28]) ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f648,plain,
( equalish(e_1,e_4)
| ~ spl0_22
| ~ spl0_30 ),
inference(resolution,[],[f223,f470]) ).
fof(f470,plain,
( ! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_1,X0) )
| ~ spl0_22 ),
inference(resolution,[],[f189,f41]) ).
fof(f189,plain,
( product(e_1,e_2,e_3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_22
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f223,plain,
( product(e_4,e_2,e_3)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl0_30
<=> product(e_4,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f647,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f645,f31]) ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f645,plain,
( equalish(e_2,e_4)
| ~ spl0_29 ),
inference(resolution,[],[f219,f49]) ).
fof(f219,plain,
( product(e_4,e_2,e_2)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl0_29
<=> product(e_4,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f640,plain,
( ~ spl0_28
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl0_28
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f637,f30]) ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f637,plain,
( equalish(e_2,e_3)
| ~ spl0_28
| ~ spl0_42 ),
inference(resolution,[],[f479,f285]) ).
fof(f285,plain,
( product(e_4,e_3,e_1)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl0_42
<=> product(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f479,plain,
( ! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_2,X0) )
| ~ spl0_28 ),
inference(resolution,[],[f215,f40]) ).
fof(f215,plain,
( product(e_4,e_2,e_1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_28
<=> product(e_4,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f607,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl0_10
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f600,f31]) ).
fof(f600,plain,
( equalish(e_2,e_4)
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f162,f371]) ).
fof(f371,plain,
( ! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(e_2,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f128,f41]) ).
fof(f162,plain,
( product(e_4,e_1,e_3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl0_18
<=> product(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f598,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f596,f35]) ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f596,plain,
( equalish(e_4,e_1)
| ~ spl0_19 ),
inference(resolution,[],[f166,f47]) ).
fof(f166,plain,
( product(e_4,e_1,e_4)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl0_19
<=> product(e_4,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f468,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f466,f29]) ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f466,plain,
( equalish(e_2,e_1)
| ~ spl0_21 ),
inference(resolution,[],[f185,f49]) ).
fof(f185,plain,
( product(e_1,e_2,e_2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl0_21
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f461,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f459,f26]) ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f459,plain,
( equalish(e_1,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f181,f47]) ).
fof(f181,plain,
( product(e_1,e_2,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_20
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f444,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f435,f28]) ).
fof(f435,plain,
( equalish(e_1,e_4)
| ~ spl0_16 ),
inference(resolution,[],[f154,f49]) ).
fof(f154,plain,
( product(e_4,e_1,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl0_16
<=> product(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f310,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f304,f29]) ).
fof(f304,plain,
( equalish(e_2,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f124,f47]) ).
fof(f124,plain,
( product(e_2,e_1,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl0_9
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f298,plain,
( spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f247,f295,f291,f287,f283]) ).
fof(f247,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[],[f96,f25]) ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
fof(f96,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[],[f38,f24]) ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f38,axiom,
! [X0,X1] :
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f243,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f234,f26]) ).
fof(f234,plain,
( equalish(e_1,e_2)
| ~ spl0_8 ),
inference(resolution,[],[f120,f49]) ).
fof(f120,plain,
( product(e_2,e_1,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_8
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f228,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f177,f225,f221,f217,f213]) ).
fof(f177,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[],[f95,f25]) ).
fof(f95,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[],[f38,f23]) ).
fof(f194,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f174,f191,f187,f183,f179]) ).
fof(f174,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f95,f22]) ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f167,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f116,f164,f160,f156,f152]) ).
fof(f116,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[],[f94,f25]) ).
fof(f94,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[],[f38,f22]) ).
fof(f133,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f114,f130,f126,f122,f118]) ).
fof(f114,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f94,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:42:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (17344)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (17348)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.38 % (17347)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.38 % (17346)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.38 % (17349)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38 % (17345)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.38 % (17343)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38 Detected minimum model sizes of [1]
% 0.20/0.38 Detected maximum model sizes of [5]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 Detected minimum model sizes of [1]
% 0.20/0.38 Detected maximum model sizes of [5]
% 0.20/0.38 Detected minimum model sizes of [1]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 Detected maximum model sizes of [5]
% 0.20/0.38 Detected minimum model sizes of [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 Detected maximum model sizes of [5]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [5]
% 0.20/0.40 TRYING [5]
% 0.20/0.40 TRYING [5]
% 0.20/0.40 TRYING [5]
% 0.20/0.40 % (17348)First to succeed.
% 0.20/0.40 % (17348)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17342"
% 0.20/0.40 % (17348)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (17348)------------------------------
% 0.20/0.40 % (17348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40 % (17348)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (17348)Memory used [KB]: 1050
% 0.20/0.40 % (17348)Time elapsed: 0.023 s
% 0.20/0.40 % (17348)Instructions burned: 36 (million)
% 0.20/0.40 % (17342)Success in time 0.035 s
%------------------------------------------------------------------------------