TSTP Solution File: GRP126-2.004 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:20:24 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 47
% Syntax : Number of formulae : 159 ( 31 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 344 ( 151 ~; 168 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 26 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f671,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f100,f121,f236,f253,f270,f278,f286,f303,f310,f384,f396,f404,f412,f426,f508,f545,f552,f560,f567,f576,f583,f626,f633,f644,f670]) ).
fof(f670,plain,
( ~ spl0_12
| ~ spl0_15
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| ~ spl0_12
| ~ spl0_15
| spl0_31 ),
inference(subsumption_resolution,[],[f668,f187]) ).
fof(f187,plain,
( ~ product(e_4,e_3,e_2)
| spl0_31 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl0_31
<=> product(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f668,plain,
( product(e_4,e_3,e_2)
| ~ spl0_12
| ~ spl0_15 ),
inference(resolution,[],[f414,f116]) ).
fof(f116,plain,
( product(e_1,e_2,e_4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_15
<=> product(e_1,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f414,plain,
( ! [X1] :
( ~ product(e_1,e_2,X1)
| product(X1,e_3,e_2) )
| ~ spl0_12 ),
inference(resolution,[],[f99,f32]) ).
fof(f32,axiom,
! [X0,X1,X6,X5] :
( ~ product(X1,X0,X6)
| ~ product(X0,X1,X5)
| product(X5,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
fof(f99,plain,
( product(e_2,e_1,e_3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_12
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f644,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f643,plain,
( $false
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f642,f26]) ).
fof(f26,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f642,plain,
( equalish(e_4,e_3)
| ~ spl0_44 ),
inference(resolution,[],[f252,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f29,f31]) ).
fof(f31,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
fof(f29,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X4,X1)
| equalish(X3,X4)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f252,plain,
( product(e_3,e_4,e_3)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_44
<=> product(e_3,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f633,plain,
( ~ spl0_12
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| ~ spl0_12
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f627,f24]) ).
fof(f24,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f627,plain,
( equalish(e_4,e_1)
| ~ spl0_12
| ~ spl0_37 ),
inference(resolution,[],[f223,f416]) ).
fof(f416,plain,
( ! [X3] :
( ~ product(e_2,X3,e_3)
| equalish(X3,e_1) )
| ~ spl0_12 ),
inference(resolution,[],[f99,f29]) ).
fof(f223,plain,
( product(e_2,e_4,e_3)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl0_37
<=> product(e_2,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f626,plain,
( ~ spl0_43
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| ~ spl0_43
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f623,f16]) ).
fof(f16,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f623,plain,
( equalish(e_1,e_3)
| ~ spl0_43
| ~ spl0_48 ),
inference(resolution,[],[f569,f269]) ).
fof(f269,plain,
( product(e_1,e_4,e_2)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl0_48
<=> product(e_1,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f569,plain,
( ! [X1] :
( ~ product(X1,e_4,e_2)
| equalish(X1,e_3) )
| ~ spl0_43 ),
inference(resolution,[],[f248,f30]) ).
fof(f30,axiom,
! [X3,X0,X1,X4] :
( ~ product(X4,X1,X0)
| equalish(X3,X4)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f248,plain,
( product(e_3,e_4,e_2)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_43
<=> product(e_3,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f583,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f581,f24]) ).
fof(f581,plain,
( equalish(e_4,e_1)
| ~ spl0_47 ),
inference(resolution,[],[f265,f35]) ).
fof(f265,plain,
( product(e_1,e_4,e_1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl0_47
<=> product(e_1,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f576,plain,
( ~ spl0_16
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl0_16
| ~ spl0_46 ),
inference(subsumption_resolution,[],[f574,f20]) ).
fof(f20,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f574,plain,
( equalish(e_2,e_4)
| ~ spl0_16
| ~ spl0_46 ),
inference(resolution,[],[f387,f120]) ).
fof(f120,plain,
( product(e_1,e_2,e_3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_16
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f387,plain,
( ! [X2] :
( ~ product(e_1,X2,e_3)
| equalish(X2,e_4) )
| ~ spl0_46 ),
inference(resolution,[],[f261,f29]) ).
fof(f261,plain,
( product(e_1,e_4,e_3)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl0_46
<=> product(e_1,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f567,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f566,plain,
( $false
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f565,f23]) ).
fof(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f565,plain,
( equalish(e_3,e_4)
| ~ spl0_42 ),
inference(resolution,[],[f244,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f30,f31]) ).
fof(f244,plain,
( product(e_3,e_4,e_4)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_42
<=> product(e_3,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f560,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| ~ spl0_40
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f557,f19]) ).
fof(f19,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f557,plain,
( equalish(e_2,e_3)
| ~ spl0_40
| ~ spl0_41 ),
inference(resolution,[],[f375,f235]) ).
fof(f235,plain,
( product(e_2,e_4,e_1)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_40
<=> product(e_2,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f375,plain,
( ! [X1] :
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3) )
| ~ spl0_41 ),
inference(resolution,[],[f240,f30]) ).
fof(f240,plain,
( product(e_3,e_4,e_1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_41
<=> product(e_3,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f552,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f550,f20]) ).
fof(f550,plain,
( equalish(e_2,e_4)
| ~ spl0_39 ),
inference(resolution,[],[f231,f36]) ).
fof(f231,plain,
( product(e_2,e_4,e_4)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl0_39
<=> product(e_2,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f545,plain,
~ spl0_38,
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f543,f25]) ).
fof(f25,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f543,plain,
( equalish(e_4,e_2)
| ~ spl0_38 ),
inference(resolution,[],[f227,f35]) ).
fof(f227,plain,
( product(e_2,e_4,e_2)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_38
<=> product(e_2,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f508,plain,
( ~ spl0_8
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl0_8
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f506,f16]) ).
fof(f506,plain,
( equalish(e_1,e_3)
| ~ spl0_8
| ~ spl0_31 ),
inference(resolution,[],[f364,f82]) ).
fof(f82,plain,
( product(e_4,e_1,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_8
<=> product(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f364,plain,
( ! [X2] :
( ~ product(e_4,X2,e_2)
| equalish(X2,e_3) )
| ~ spl0_31 ),
inference(resolution,[],[f188,f29]) ).
fof(f188,plain,
( product(e_4,e_3,e_2)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f426,plain,
( ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f423,f20]) ).
fof(f423,plain,
( equalish(e_2,e_4)
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f289,f99]) ).
fof(f289,plain,
( ! [X2] :
( ~ product(X2,e_1,e_3)
| equalish(X2,e_4) )
| ~ spl0_7 ),
inference(resolution,[],[f78,f30]) ).
fof(f78,plain,
( product(e_4,e_1,e_3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_7
<=> product(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f412,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f410,f18]) ).
fof(f18,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f410,plain,
( equalish(e_2,e_1)
| ~ spl0_11 ),
inference(resolution,[],[f95,f36]) ).
fof(f95,plain,
( product(e_2,e_1,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_11
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f404,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f402,f15]) ).
fof(f15,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f402,plain,
( equalish(e_1,e_2)
| ~ spl0_10 ),
inference(resolution,[],[f91,f35]) ).
fof(f91,plain,
( product(e_2,e_1,e_2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_10
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f396,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f394,f2]) ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
fof(f394,plain,
( ~ next(e_2,e_3)
| ~ spl0_9 ),
inference(resolution,[],[f292,f9]) ).
fof(f9,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
fof(f292,plain,
( ! [X0] :
( ~ greater(e_4,X0)
| ~ next(e_2,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f87,f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X0,e_1,X1)
| ~ greater(X1,X2)
| ~ next(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
fof(f87,plain,
( product(e_2,e_1,e_4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_9
<=> product(e_2,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f384,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f382,f17]) ).
fof(f17,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f382,plain,
( equalish(e_1,e_4)
| ~ spl0_45 ),
inference(resolution,[],[f257,f36]) ).
fof(f257,plain,
( product(e_1,e_4,e_4)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_45
<=> product(e_1,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f310,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f308,f15]) ).
fof(f308,plain,
( equalish(e_1,e_2)
| ~ spl0_14 ),
inference(resolution,[],[f112,f36]) ).
fof(f112,plain,
( product(e_1,e_2,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_14
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f303,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f301,f18]) ).
fof(f301,plain,
( equalish(e_2,e_1)
| ~ spl0_13 ),
inference(resolution,[],[f108,f35]) ).
fof(f108,plain,
( product(e_1,e_2,e_1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_13
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f286,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f284,f24]) ).
fof(f284,plain,
( equalish(e_4,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f74,f36]) ).
fof(f74,plain,
( product(e_4,e_1,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_6
<=> product(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f278,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f276,f17]) ).
fof(f276,plain,
( equalish(e_1,e_4)
| ~ spl0_5 ),
inference(resolution,[],[f70,f35]) ).
fof(f70,plain,
( product(e_4,e_1,e_4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_5
<=> product(e_4,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f270,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48 ),
inference(avatar_split_clause,[],[f216,f267,f263,f259,f255]) ).
fof(f216,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(resolution,[],[f41,f11]) ).
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f41,plain,
! [X3] :
( ~ group_element(X3)
| product(X3,e_4,e_3)
| product(X3,e_4,e_2)
| product(X3,e_4,e_4)
| product(X3,e_4,e_1) ),
inference(resolution,[],[f27,f14]) ).
fof(f14,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
fof(f27,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| ~ group_element(X0)
| product(X0,X1,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f253,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(avatar_split_clause,[],[f218,f250,f246,f242,f238]) ).
fof(f218,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_1) ),
inference(resolution,[],[f41,f13]) ).
fof(f13,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f236,plain,
( spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f217,f233,f229,f225,f221]) ).
fof(f217,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(resolution,[],[f41,f12]) ).
fof(f12,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f121,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f101,f118,f114,f110,f106]) ).
fof(f101,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f39,f11]) ).
fof(f39,plain,
! [X1] :
( ~ group_element(X1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4) ),
inference(resolution,[],[f27,f12]) ).
fof(f100,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f47,f97,f93,f89,f85]) ).
fof(f47,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(resolution,[],[f38,f12]) ).
fof(f38,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f27,f11]) ).
fof(f83,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f49,f80,f76,f72,f68]) ).
fof(f49,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_4) ),
inference(resolution,[],[f38,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP126-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % 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 : n020.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 22:16:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.50 % (25357)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)
% 0.21/0.50 % (25374)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.50 % (25366)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)
% 0.21/0.51 % (25358)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (25373)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51 Detected maximum model sizes of [4]
% 0.21/0.51 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 TRYING [3]
% 0.21/0.52 % (25363)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)
% 0.21/0.52 TRYING [4]
% 0.21/0.52 % (25373)First to succeed.
% 0.21/0.52 % (25353)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)
% 0.21/0.52 % (25353)Refutation not found, incomplete strategy% (25353)------------------------------
% 0.21/0.52 % (25353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (25353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (25353)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (25353)Memory used [KB]: 5373
% 0.21/0.52 % (25353)Time elapsed: 0.115 s
% 0.21/0.52 % (25353)Instructions burned: 2 (million)
% 0.21/0.52 % (25353)------------------------------
% 0.21/0.52 % (25353)------------------------------
% 0.21/0.52 % (25380)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.52 % (25358)Also succeeded, but the first one will report.
% 0.21/0.52 % (25364)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (25373)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (25373)------------------------------
% 0.21/0.53 % (25373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (25373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (25373)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (25373)Memory used [KB]: 5628
% 0.21/0.53 % (25373)Time elapsed: 0.114 s
% 0.21/0.53 % (25373)Instructions burned: 18 (million)
% 0.21/0.53 % (25373)------------------------------
% 0.21/0.53 % (25373)------------------------------
% 0.21/0.53 % (25351)Success in time 0.177 s
%------------------------------------------------------------------------------