TSTP Solution File: GRP124-6.004 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP124-6.004 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Mon May 20 21:06:41 EDT 2024
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 45
% Syntax : Number of formulae : 147 ( 29 unt; 0 def)
% Number of atoms : 380 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 391 ( 158 ~; 209 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 25 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f525,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f101,f103,f105,f118,f120,f164,f201,f208,f274,f291,f324,f336,f346,f348,f356,f363,f365,f420,f451,f492,f500,f507,f517,f524]) ).
fof(f524,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f523,plain,
( $false
| ~ spl0_35 ),
inference(resolution,[],[f522,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f522,plain,
( equalish(e_1,e_2)
| ~ spl0_35 ),
inference(resolution,[],[f442,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f20,f21]) ).
fof(f21,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X3,X1,X0)
| equalish(X2,X3)
| ~ product1(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f442,plain,
( product1(e_1,e_2,e_2)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl0_35
<=> product1(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f517,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl0_37 ),
inference(resolution,[],[f515,f5]) ).
fof(f515,plain,
( equalish(e_1,e_2)
| ~ spl0_37 ),
inference(resolution,[],[f450,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product2(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f23,f26]) ).
fof(f26,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| equalish(X2,X3)
| ~ product2(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f450,plain,
( product2(e_2,e_2,e_1)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl0_37
<=> product2(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f507,plain,
( ~ spl0_8
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl0_8
| ~ spl0_29 ),
inference(resolution,[],[f501,f9]) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f501,plain,
( equalish(e_2,e_3)
| ~ spl0_8
| ~ spl0_29 ),
inference(resolution,[],[f290,f379]) ).
fof(f379,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_3) )
| ~ spl0_8 ),
inference(resolution,[],[f100,f19]) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X3,X1)
| equalish(X2,X3)
| ~ product1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f100,plain,
( product1(e_4,e_3,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_8
<=> product1(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f290,plain,
( product1(e_4,e_2,e_1)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl0_29
<=> product1(e_4,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f500,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl0_36 ),
inference(resolution,[],[f497,f8]) ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f497,plain,
( equalish(e_2,e_1)
| ~ spl0_36 ),
inference(resolution,[],[f446,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f19,f21]) ).
fof(f446,plain,
( product1(e_1,e_2,e_1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl0_36
<=> product1(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f492,plain,
( ~ spl0_26
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl0_26
| ~ spl0_34 ),
inference(resolution,[],[f486,f7]) ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f486,plain,
( equalish(e_1,e_4)
| ~ spl0_26
| ~ spl0_34 ),
inference(resolution,[],[f438,f382]) ).
fof(f382,plain,
( ! [X0] :
( ~ product1(X0,e_2,e_3)
| equalish(X0,e_4) )
| ~ spl0_26 ),
inference(resolution,[],[f278,f20]) ).
fof(f278,plain,
( product1(e_4,e_2,e_3)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_26
<=> product1(e_4,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f438,plain,
( product1(e_1,e_2,e_3)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl0_34
<=> product1(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f451,plain,
( spl0_34
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f432,f418,f448,f444,f440,f436]) ).
fof(f418,plain,
( spl0_31
<=> ! [X0] :
( product2(e_2,X0,e_1)
| ~ group_element(X0)
| product1(e_1,X0,e_1)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f432,plain,
( product2(e_2,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ spl0_31 ),
inference(resolution,[],[f419,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f419,plain,
( ! [X0] :
( ~ group_element(X0)
| product2(e_2,X0,e_1)
| product1(e_1,X0,e_1)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( ~ spl0_23
| spl0_31
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f416,f267,f418,f263]) ).
fof(f263,plain,
( spl0_23
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f267,plain,
( spl0_24
<=> product1(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f416,plain,
( ! [X0] :
( product2(e_2,X0,e_1)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_1) )
| ~ spl0_24 ),
inference(resolution,[],[f370,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f370,plain,
( ! [X0] :
( ~ product1(e_1,X0,e_4)
| product2(e_2,X0,e_1) )
| ~ spl0_24 ),
inference(resolution,[],[f269,f27]) ).
fof(f27,axiom,
! [X0,X1,X4,X5] :
( ~ product1(X4,X0,X5)
| product2(X5,X1,X0)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2a) ).
fof(f269,plain,
( product1(e_4,e_1,e_2)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f365,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| spl0_23 ),
inference(resolution,[],[f265,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f265,plain,
( ~ group_element(e_1)
| spl0_23 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f363,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl0_25 ),
inference(resolution,[],[f361,f14]) ).
fof(f14,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f361,plain,
( equalish(e_4,e_1)
| ~ spl0_25 ),
inference(resolution,[],[f273,f34]) ).
fof(f273,plain,
( product1(e_4,e_1,e_1)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl0_25
<=> product1(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f356,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl0_28 ),
inference(resolution,[],[f354,f15]) ).
fof(f15,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f354,plain,
( equalish(e_4,e_2)
| ~ spl0_28 ),
inference(resolution,[],[f286,f34]) ).
fof(f286,plain,
( product1(e_4,e_2,e_2)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl0_28
<=> product1(e_4,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f348,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| spl0_27 ),
inference(resolution,[],[f282,f2]) ).
fof(f282,plain,
( ~ group_element(e_2)
| spl0_27 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl0_27
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f346,plain,
( ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f344,f13]) ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f344,plain,
( equalish(e_3,e_4)
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f337,f159]) ).
fof(f159,plain,
( product1(e_3,e_2,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_16
<=> product1(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f337,plain,
( ! [X0] :
( ~ product1(X0,e_2,e_1)
| equalish(X0,e_4) )
| ~ spl0_29 ),
inference(resolution,[],[f290,f20]) ).
fof(f336,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f334,f8]) ).
fof(f334,plain,
( equalish(e_2,e_1)
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f294,f278]) ).
fof(f294,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_3)
| equalish(X0,e_1) )
| ~ spl0_22 ),
inference(resolution,[],[f261,f19]) ).
fof(f261,plain,
( product1(e_4,e_1,e_3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl0_22
<=> product1(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f324,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f322,f12]) ).
fof(f12,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f322,plain,
( equalish(e_3,e_2)
| ~ spl0_17 ),
inference(resolution,[],[f163,f36]) ).
fof(f163,plain,
( product2(e_2,e_2,e_3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl0_17
<=> product2(e_2,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f291,plain,
( spl0_26
| ~ spl0_27
| spl0_28
| spl0_29
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f256,f60,f288,f284,f280,f276]) ).
fof(f60,plain,
( spl0_3
<=> ! [X0] :
( product1(e_4,X0,e_3)
| product2(e_4,X0,e_4)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f256,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| ~ group_element(e_2)
| product1(e_4,e_2,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f254,f15]) ).
fof(f254,plain,
( ! [X0] :
( equalish(e_4,X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| ~ group_element(X0)
| product1(e_4,X0,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f124,f26]) ).
fof(f124,plain,
( ! [X0,X1] :
( ~ product2(e_4,X1,e_4)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| equalish(X1,X0)
| product1(e_4,X0,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f61,f24]) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X3,X1)
| equalish(X2,X3)
| ~ product2(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_right_cancellation) ).
fof(f61,plain,
( ! [X0] :
( product2(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f274,plain,
( spl0_22
| ~ spl0_23
| spl0_24
| spl0_25
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f255,f60,f271,f267,f263,f259]) ).
fof(f255,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| ~ group_element(e_1)
| product1(e_4,e_1,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f254,f14]) ).
fof(f208,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f206,f12]) ).
fof(f206,plain,
( equalish(e_3,e_2)
| ~ spl0_15 ),
inference(resolution,[],[f155,f34]) ).
fof(f155,plain,
( product1(e_3,e_2,e_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_15
<=> product1(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f201,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f198,f9]) ).
fof(f198,plain,
( equalish(e_2,e_3)
| ~ spl0_14 ),
inference(resolution,[],[f151,f32]) ).
fof(f151,plain,
( product1(e_3,e_2,e_3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_14
<=> product1(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f164,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_17
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f128,f116,f161,f157,f153,f149]) ).
fof(f116,plain,
( spl0_9
<=> ! [X0] :
( product2(e_2,X0,e_3)
| ~ group_element(X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f128,plain,
( product2(e_2,e_2,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| ~ spl0_9 ),
inference(resolution,[],[f117,f2]) ).
fof(f117,plain,
( ! [X0] :
( ~ group_element(X0)
| product2(e_2,X0,e_3)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f88,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f88,plain,
( ~ group_element(e_3)
| spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_5
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f118,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f114,f94,f116,f86]) ).
fof(f94,plain,
( spl0_7
<=> product1(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f114,plain,
( ! [X0] :
( product2(e_2,X0,e_3)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f109,f17]) ).
fof(f109,plain,
( ! [X0] :
( ~ product1(e_3,X0,e_4)
| product2(e_2,X0,e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f96,f27]) ).
fof(f96,plain,
( product1(e_4,e_3,e_2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f105,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f92,f16]) ).
fof(f16,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f92,plain,
( equalish(e_4,e_3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_6
<=> equalish(e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f103,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f54,f4]) ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f54,plain,
( ~ group_element(e_4)
| spl0_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_1
<=> group_element(e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f101,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f84,f60,f98,f94,f90,f86]) ).
fof(f84,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| equalish(e_4,e_3)
| ~ group_element(e_3)
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| equalish(e_4,e_3)
| ~ group_element(e_3)
| equalish(e_4,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f77,f34]) ).
fof(f77,plain,
( ! [X0] :
( product1(e_4,X0,e_3)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| equalish(e_4,X0)
| ~ group_element(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f68,f26]) ).
fof(f68,plain,
( ! [X0,X1] :
( ~ product2(e_4,X1,e_4)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| equalish(X1,X0)
| product1(e_4,X0,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f61,f24]) ).
fof(f62,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f47,f60,f52]) ).
fof(f47,plain,
! [X0] :
( product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_4)
| product2(e_4,X0,e_4) ),
inference(resolution,[],[f17,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| product2(X0,X1,X0) ),
inference(resolution,[],[f21,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP124-6.004 : TPTP v8.2.0. Released v1.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 04:42:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73 % (11799)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.73 % (11792)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (11794)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (11793)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.73 % (11796)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (11795)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.73 % (11797)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.73 % (11799)Refutation not found, incomplete strategy% (11799)------------------------------
% 0.56/0.73 % (11799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (11799)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (11799)Memory used [KB]: 951
% 0.56/0.73 % (11799)Time elapsed: 0.001 s
% 0.56/0.73 % (11799)Instructions burned: 2 (million)
% 0.56/0.73 % (11798)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.73 % (11799)------------------------------
% 0.56/0.73 % (11799)------------------------------
% 0.56/0.73 % (11792)Refutation not found, incomplete strategy% (11792)------------------------------
% 0.56/0.73 % (11792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (11792)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (11792)Memory used [KB]: 950
% 0.56/0.73 % (11792)Time elapsed: 0.002 s
% 0.56/0.73 % (11792)Instructions burned: 2 (million)
% 0.56/0.74 % (11795)Refutation not found, incomplete strategy% (11795)------------------------------
% 0.56/0.74 % (11795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11795)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11795)Memory used [KB]: 950
% 0.56/0.74 % (11795)Time elapsed: 0.002 s
% 0.56/0.74 % (11795)Instructions burned: 2 (million)
% 0.56/0.74 % (11792)------------------------------
% 0.56/0.74 % (11792)------------------------------
% 0.56/0.74 % (11795)------------------------------
% 0.56/0.74 % (11795)------------------------------
% 0.56/0.74 % (11800)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.74 % (11801)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.56/0.74 % (11800)Refutation not found, incomplete strategy% (11800)------------------------------
% 0.56/0.74 % (11800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11800)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11800)Memory used [KB]: 1047
% 0.56/0.74 % (11800)Time elapsed: 0.006 s
% 0.56/0.74 % (11800)Instructions burned: 7 (million)
% 0.56/0.74 % (11800)------------------------------
% 0.56/0.74 % (11800)------------------------------
% 0.56/0.74 % (11793)First to succeed.
% 0.56/0.74 % (11802)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.74 % (11802)Refutation not found, incomplete strategy% (11802)------------------------------
% 0.56/0.74 % (11802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11802)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11802)Memory used [KB]: 950
% 0.56/0.74 % (11802)Time elapsed: 0.001 s
% 0.56/0.74 % (11802)Instructions burned: 2 (million)
% 0.56/0.74 % (11802)------------------------------
% 0.56/0.74 % (11802)------------------------------
% 0.56/0.74 % (11793)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11791"
% 0.56/0.75 % (11793)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (11793)------------------------------
% 0.56/0.75 % (11793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (11793)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (11793)Memory used [KB]: 1149
% 0.56/0.75 % (11793)Time elapsed: 0.012 s
% 0.56/0.75 % (11793)Instructions burned: 17 (million)
% 0.56/0.75 % (11791)Success in time 0.387 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------