TSTP Solution File: GRP124-9.004 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n023.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 May 1 02:27:18 EDT 2024
% Result : Unsatisfiable 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 49
% Syntax : Number of formulae : 161 ( 30 unt; 0 def)
% Number of atoms : 436 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 461 ( 186 ~; 248 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 28 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f758,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f91,f129,f147,f149,f187,f212,f224,f231,f265,f355,f359,f361,f368,f370,f372,f381,f396,f452,f454,f474,f500,f501,f544,f660,f676,f688,f724,f757]) ).
fof(f757,plain,
( spl0_9
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f755,f315,f180,f116]) ).
fof(f116,plain,
( spl0_9
<=> equalish(e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f180,plain,
( spl0_19
<=> product1(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f315,plain,
( spl0_33
<=> product1(e_4,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f755,plain,
( equalish(e_4,e_3)
| ~ spl0_19
| ~ spl0_33 ),
inference(resolution,[],[f729,f317]) ).
fof(f317,plain,
( product1(e_4,e_2,e_1)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f729,plain,
( ! [X0] :
( ~ product1(X0,e_2,e_1)
| equalish(X0,e_3) )
| ~ spl0_19 ),
inference(resolution,[],[f182,f22]) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X3,X1,X0)
| equalish(X2,X3)
| ~ product1(X2,X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product1_left_cancellation) ).
fof(f182,plain,
( product1(e_3,e_2,e_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f724,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl0_11
| ~ spl0_33 ),
inference(resolution,[],[f718,f11]) ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_2_is_not_e_3) ).
fof(f718,plain,
( equalish(e_2,e_3)
| ~ spl0_11
| ~ spl0_33 ),
inference(resolution,[],[f317,f456]) ).
fof(f456,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_3) )
| ~ spl0_11 ),
inference(resolution,[],[f126,f21]) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X3,X1)
| equalish(X2,X3)
| ~ product1(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product1_right_cancellation) ).
fof(f126,plain,
( product1(e_4,e_3,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_11
<=> product1(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f688,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| ~ spl0_58 ),
inference(resolution,[],[f683,f13]) ).
fof(f13,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_3_is_not_e_1) ).
fof(f683,plain,
( equalish(e_3,e_1)
| ~ spl0_58 ),
inference(resolution,[],[f675,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product2(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f25,f28]) ).
fof(f28,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product2_idempotence) ).
fof(f25,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| equalish(X2,X3)
| ~ product2(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product2_total_function2) ).
fof(f675,plain,
( product2(e_1,e_1,e_3)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl0_58
<=> product2(e_1,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f676,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_58
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f668,f542,f673,f163,f159,f155]) ).
fof(f155,plain,
( spl0_13
<=> product1(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f159,plain,
( spl0_14
<=> product1(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f163,plain,
( spl0_15
<=> product1(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f542,plain,
( spl0_46
<=> ! [X0] :
( product2(e_1,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_46])]) ).
fof(f668,plain,
( product2(e_1,e_1,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ spl0_46 ),
inference(resolution,[],[f543,f3]) ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',element_1) ).
fof(f543,plain,
( ! [X0] :
( ~ group_element(X0)
| product2(e_1,X0,e_3)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f660,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl0_42 ),
inference(resolution,[],[f451,f15]) ).
fof(f15,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_3_is_not_e_4) ).
fof(f451,plain,
( equalish(e_3,e_4)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl0_42
<=> equalish(e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f544,plain,
( ~ spl0_8
| spl0_46
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f540,f124,f542,f112]) ).
fof(f112,plain,
( spl0_8
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f540,plain,
( ! [X0] :
( product2(e_1,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_11 ),
inference(resolution,[],[f458,f19]) ).
fof(f19,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/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product1_total_function1) ).
fof(f458,plain,
( ! [X0] :
( ~ product1(e_3,X0,e_4)
| product2(e_1,X0,e_3) )
| ~ spl0_11 ),
inference(resolution,[],[f126,f29]) ).
fof(f29,axiom,
! [X0,X1,X4,X5] :
( ~ product1(X4,X0,X5)
| product2(X5,X1,X0)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',qg2a) ).
fof(f501,plain,
( ~ spl0_1
| ~ spl0_26
| spl0_29
| spl0_28
| spl0_36
| spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f467,f353,f116,f402,f294,f298,f286,f54]) ).
fof(f54,plain,
( spl0_1
<=> group_element(e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f286,plain,
( spl0_26
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f298,plain,
( spl0_29
<=> product1(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f294,plain,
( spl0_28
<=> product1(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f402,plain,
( spl0_36
<=> product1(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f353,plain,
( spl0_34
<=> ! [X0] :
( equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f467,plain,
( equalish(e_4,e_3)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4)
| ~ spl0_34 ),
inference(resolution,[],[f354,f19]) ).
fof(f354,plain,
( ! [X0] :
( ~ product1(e_4,e_1,X0)
| equalish(X0,e_3) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f500,plain,
( ~ spl0_36
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl0_36
| ~ spl0_43 ),
inference(resolution,[],[f497,f7]) ).
fof(f7,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_1_is_not_e_2) ).
fof(f497,plain,
( equalish(e_1,e_2)
| ~ spl0_36
| ~ spl0_43 ),
inference(resolution,[],[f486,f404]) ).
fof(f404,plain,
( product1(e_4,e_1,e_3)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f486,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_3)
| equalish(X0,e_2) )
| ~ spl0_43 ),
inference(resolution,[],[f473,f21]) ).
fof(f473,plain,
( product1(e_4,e_2,e_3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_43
<=> product1(e_4,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f474,plain,
( ~ spl0_1
| ~ spl0_30
| spl0_33
| spl0_32
| spl0_43
| spl0_9
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f469,f357,f116,f471,f311,f315,f303,f54]) ).
fof(f303,plain,
( spl0_30
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f311,plain,
( spl0_32
<=> product1(e_4,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f357,plain,
( spl0_35
<=> ! [X0] :
( equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f469,plain,
( equalish(e_4,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4)
| ~ spl0_35 ),
inference(resolution,[],[f358,f19]) ).
fof(f358,plain,
( ! [X0] :
( ~ product1(e_4,e_2,X0)
| equalish(X0,e_3) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f454,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl0_32 ),
inference(resolution,[],[f432,f17]) ).
fof(f17,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_4_is_not_e_2) ).
fof(f432,plain,
( equalish(e_4,e_2)
| ~ spl0_32 ),
inference(resolution,[],[f313,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f22,f23]) ).
fof(f23,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product1_idempotence) ).
fof(f313,plain,
( product1(e_4,e_2,e_2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f452,plain,
( spl0_11
| spl0_42
| ~ spl0_8
| spl0_9
| spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f344,f62,f120,f116,f112,f449,f124]) ).
fof(f120,plain,
( spl0_10
<=> product1(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f62,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(f344,plain,
( product1(e_4,e_3,e_2)
| equalish(e_4,e_3)
| ~ group_element(e_3)
| equalish(e_3,e_4)
| product1(e_4,e_3,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f104,f23]) ).
fof(f104,plain,
( ! [X0,X1] :
( ~ product1(X1,X0,e_3)
| product1(e_4,X0,e_2)
| equalish(e_4,X0)
| ~ group_element(X0)
| equalish(X1,e_4)
| product1(e_4,X0,e_1) )
| ~ spl0_3 ),
inference(resolution,[],[f98,f22]) ).
fof(f98,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,[],[f85,f28]) ).
fof(f85,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,[],[f63,f26]) ).
fof(f26,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X3,X1)
| equalish(X2,X3)
| ~ product2(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product2_right_cancellation) ).
fof(f63,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,[],[f62]) ).
fof(f396,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl0_29 ),
inference(resolution,[],[f390,f16]) ).
fof(f16,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_4_is_not_e_1) ).
fof(f390,plain,
( equalish(e_4,e_1)
| ~ spl0_29 ),
inference(resolution,[],[f300,f36]) ).
fof(f300,plain,
( product1(e_4,e_1,e_1)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f381,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl0_20 ),
inference(resolution,[],[f379,f14]) ).
fof(f14,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_3_is_not_e_2) ).
fof(f379,plain,
( equalish(e_3,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f186,f38]) ).
fof(f186,plain,
( product2(e_2,e_2,e_3)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl0_20
<=> product2(e_2,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f372,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| spl0_26 ),
inference(resolution,[],[f288,f3]) ).
fof(f288,plain,
( ~ group_element(e_1)
| spl0_26 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f370,plain,
( ~ spl0_10
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl0_10
| ~ spl0_28 ),
inference(resolution,[],[f362,f8]) ).
fof(f8,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_1_is_not_e_3) ).
fof(f362,plain,
( equalish(e_1,e_3)
| ~ spl0_10
| ~ spl0_28 ),
inference(resolution,[],[f296,f131]) ).
fof(f131,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_2)
| equalish(X0,e_3) )
| ~ spl0_10 ),
inference(resolution,[],[f122,f21]) ).
fof(f122,plain,
( product1(e_4,e_3,e_2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f296,plain,
( product1(e_4,e_1,e_2)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f368,plain,
( spl0_9
| ~ spl0_14
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f363,f294,f159,f116]) ).
fof(f363,plain,
( equalish(e_4,e_3)
| ~ spl0_14
| ~ spl0_28 ),
inference(resolution,[],[f296,f332]) ).
fof(f332,plain,
( ! [X0] :
( ~ product1(X0,e_1,e_2)
| equalish(X0,e_3) )
| ~ spl0_14 ),
inference(resolution,[],[f161,f22]) ).
fof(f161,plain,
( product1(e_3,e_1,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f361,plain,
spl0_30,
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| spl0_30 ),
inference(resolution,[],[f305,f4]) ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',element_2) ).
fof(f305,plain,
( ~ group_element(e_2)
| spl0_30 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f359,plain,
( spl0_35
| ~ spl0_30
| spl0_33
| spl0_32
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f349,f62,f311,f315,f303,f357]) ).
fof(f349,plain,
( ! [X0] :
( product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| ~ group_element(e_2)
| equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f106,f17]) ).
fof(f106,plain,
( ! [X0,X1] :
( equalish(e_4,X0)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| equalish(X1,e_3)
| ~ product1(e_4,X0,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f98,f20]) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X1,X3)
| equalish(X2,X3)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',product1_total_function2) ).
fof(f355,plain,
( spl0_34
| ~ spl0_26
| spl0_29
| spl0_28
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f348,f62,f294,f298,f286,f353]) ).
fof(f348,plain,
( ! [X0] :
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| ~ group_element(e_1)
| equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f106,f16]) ).
fof(f265,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f259,f13]) ).
fof(f259,plain,
( equalish(e_3,e_1)
| ~ spl0_15 ),
inference(resolution,[],[f165,f36]) ).
fof(f165,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f231,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl0_18 ),
inference(resolution,[],[f229,f14]) ).
fof(f229,plain,
( equalish(e_3,e_2)
| ~ spl0_18 ),
inference(resolution,[],[f178,f36]) ).
fof(f178,plain,
( product1(e_3,e_2,e_2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl0_18
<=> product1(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f224,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f221,f11]) ).
fof(f221,plain,
( equalish(e_2,e_3)
| ~ spl0_17 ),
inference(resolution,[],[f174,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f21,f23]) ).
fof(f174,plain,
( product1(e_3,e_2,e_3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl0_17
<=> product1(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f212,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f209,f8]) ).
fof(f209,plain,
( equalish(e_1,e_3)
| ~ spl0_13 ),
inference(resolution,[],[f157,f34]) ).
fof(f157,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f187,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f151,f145,f184,f180,f176,f172]) ).
fof(f145,plain,
( spl0_12
<=> ! [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_12])]) ).
fof(f151,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_12 ),
inference(resolution,[],[f146,f4]) ).
fof(f146,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_12 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f114,f5]) ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',element_3) ).
fof(f114,plain,
( ~ group_element(e_3)
| spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f147,plain,
( ~ spl0_8
| spl0_12
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f143,f120,f145,f112]) ).
fof(f143,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_10 ),
inference(resolution,[],[f133,f19]) ).
fof(f133,plain,
( ! [X0] :
( ~ product1(e_3,X0,e_4)
| product2(e_2,X0,e_3) )
| ~ spl0_10 ),
inference(resolution,[],[f122,f29]) ).
fof(f129,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f128,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f118,f18]) ).
fof(f18,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',e_4_is_not_e_3) ).
fof(f118,plain,
( equalish(e_4,e_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f91,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f56,f6]) ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841',element_4) ).
fof(f56,plain,
( ~ group_element(e_4)
| spl0_1 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f64,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f49,f62,f54]) ).
fof(f49,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,[],[f19,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| product2(X0,X1,X0) ),
inference(resolution,[],[f23,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 18:38:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.14/0.36 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/tmp/tmp.T6IH7PudvB/Vampire---4.8_9841
% 0.52/0.73 % (10103)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 Vampire---4 for (2996ds/83Mi)
% 0.52/0.73 % (10097)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 Vampire---4 for (2996ds/34Mi)
% 0.52/0.73 % (10099)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.73 % (10098)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 Vampire---4 for (2996ds/51Mi)
% 0.52/0.73 % (10100)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.52/0.73 % (10101)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 Vampire---4 for (2996ds/34Mi)
% 0.52/0.73 % (10102)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.52/0.73 % (10097)Refutation not found, incomplete strategy% (10097)------------------------------
% 0.52/0.73 % (10097)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.52/0.73 % (10097)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73 % (10100)Refutation not found, incomplete strategy% (10100)------------------------------
% 0.52/0.73 % (10100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.52/0.73 % (10100)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (10100)Memory used [KB]: 950
% 0.52/0.73 % (10100)Time elapsed: 0.002 s
% 0.52/0.73 % (10100)Instructions burned: 2 (million)
% 0.52/0.73 % (10100)------------------------------
% 0.52/0.73 % (10100)------------------------------
% 0.52/0.73
% 0.52/0.73 % (10097)Memory used [KB]: 950
% 0.52/0.73 % (10097)Time elapsed: 0.002 s
% 0.52/0.73 % (10097)Instructions burned: 2 (million)
% 0.52/0.73 % (10097)------------------------------
% 0.52/0.73 % (10097)------------------------------
% 0.52/0.74 % (10104)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.52/0.74 % (10106)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 Vampire---4 for (2996ds/50Mi)
% 0.52/0.74 % (10104)Refutation not found, incomplete strategy% (10104)------------------------------
% 0.52/0.74 % (10104)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.52/0.74 % (10104)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (10104)Memory used [KB]: 951
% 0.52/0.74 % (10104)Time elapsed: 0.003 s
% 0.52/0.74 % (10104)Instructions burned: 2 (million)
% 0.52/0.74 % (10104)------------------------------
% 0.52/0.74 % (10104)------------------------------
% 0.52/0.74 % (10105)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 Vampire---4 for (2996ds/55Mi)
% 0.52/0.74 % (10105)Refutation not found, incomplete strategy% (10105)------------------------------
% 0.52/0.74 % (10105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.52/0.74 % (10105)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (10105)Memory used [KB]: 1046
% 0.52/0.74 % (10105)Time elapsed: 0.005 s
% 0.52/0.74 % (10105)Instructions burned: 7 (million)
% 0.52/0.74 % (10105)------------------------------
% 0.52/0.74 % (10105)------------------------------
% 0.52/0.74 % (10098)First to succeed.
% 0.57/0.75 % (10101)Instruction limit reached!
% 0.57/0.75 % (10101)------------------------------
% 0.57/0.75 % (10101)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (10101)Termination reason: Unknown
% 0.57/0.75 % (10101)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (10101)Memory used [KB]: 1156
% 0.57/0.75 % (10101)Time elapsed: 0.017 s
% 0.57/0.75 % (10101)Instructions burned: 34 (million)
% 0.57/0.75 % (10101)------------------------------
% 0.57/0.75 % (10101)------------------------------
% 0.57/0.75 % (10098)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (10098)------------------------------
% 0.57/0.75 % (10098)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (10098)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (10098)Memory used [KB]: 1216
% 0.57/0.75 % (10098)Time elapsed: 0.017 s
% 0.57/0.75 % (10098)Instructions burned: 26 (million)
% 0.57/0.75 % (10098)------------------------------
% 0.57/0.75 % (10098)------------------------------
% 0.57/0.75 % (10093)Success in time 0.383 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------