TSTP Solution File: GRP131-2.002 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Thu Aug 31 01:22:07 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 85 ( 6 unt; 0 def)
% Number of atoms : 226 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 290 ( 149 ~; 125 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 13 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 110 (; 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f80,f88,f102,f104,f106,f118,f123,f126,f138,f141,f158,f160,f163]) ).
fof(f163,plain,
( ~ spl4_1
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl4_1
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f86,f42]) ).
fof(f42,plain,
( ! [X3] : ~ product(e_2,X3,e_2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl4_1
<=> ! [X3] : ~ product(e_2,X3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f86,plain,
( product(e_2,e_1,e_2)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl4_5
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f160,plain,
( spl4_11
| ~ spl4_8
| ~ spl4_7
| spl4_12 ),
inference(avatar_split_clause,[],[f159,f155,f95,f99,f135]) ).
fof(f135,plain,
( spl4_11
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f99,plain,
( spl4_8
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f95,plain,
( spl4_7
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f155,plain,
( spl4_12
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f159,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| spl4_12 ),
inference(resolution,[],[f157,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( product(X0,X1,e_2)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',product_total_function1) ).
fof(f157,plain,
( ~ product(e_1,e_2,e_2)
| spl4_12 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( ~ spl4_12
| ~ spl4_2
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f127,f77,f44,f155]) ).
fof(f44,plain,
( spl4_2
<=> ! [X4] :
( ~ product(e_2,X4,e_1)
| ~ product(e_1,X4,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f77,plain,
( spl4_4
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f127,plain,
( ~ product(e_1,e_2,e_2)
| ~ spl4_2
| ~ spl4_4 ),
inference(resolution,[],[f79,f45]) ).
fof(f45,plain,
( ! [X4] :
( ~ product(e_2,X4,e_1)
| ~ product(e_1,X4,e_2) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f79,plain,
( product(e_2,e_2,e_1)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f141,plain,
( ~ spl4_4
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| ~ spl4_4
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f93,f131]) ).
fof(f131,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl4_4 ),
inference(resolution,[],[f79,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f10,f6]) ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',e_1_is_not_e_2) ).
fof(f10,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X0,X4,X1)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',product_right_cancellation) ).
fof(f93,plain,
( product(e_2,e_1,e_1)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl4_6
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f138,plain,
( ~ spl4_11
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f128,f77,f135]) ).
fof(f128,plain,
( ~ product(e_1,e_2,e_1)
| ~ spl4_4 ),
inference(resolution,[],[f79,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f11,f6]) ).
fof(f11,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X4,X1,X0)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',product_left_cancellation) ).
fof(f126,plain,
( spl4_9
| ~ spl4_7
| spl4_10 ),
inference(avatar_split_clause,[],[f125,f120,f95,f115]) ).
fof(f115,plain,
( spl4_9
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f120,plain,
( spl4_10
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f125,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| spl4_10 ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| spl4_10 ),
inference(resolution,[],[f122,f8]) ).
fof(f122,plain,
( ~ product(e_1,e_1,e_2)
| spl4_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( ~ spl4_10
| ~ spl4_3
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f107,f91,f74,f120]) ).
fof(f74,plain,
( spl4_3
<=> ! [X6] :
( ~ product(X6,e_1,e_2)
| ~ product(e_2,e_1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f107,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl4_3
| ~ spl4_6 ),
inference(resolution,[],[f93,f75]) ).
fof(f75,plain,
( ! [X6] :
( ~ product(X6,e_1,e_2)
| ~ product(e_2,e_1,X6) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f118,plain,
( ~ spl4_9
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f109,f91,f115]) ).
fof(f109,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl4_6 ),
inference(resolution,[],[f93,f52]) ).
fof(f106,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| spl4_8 ),
inference(subsumption_resolution,[],[f5,f101]) ).
fof(f101,plain,
( ~ group_element(e_2)
| spl4_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f5,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',element_2) ).
fof(f104,plain,
spl4_7,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| spl4_7 ),
inference(subsumption_resolution,[],[f4,f97]) ).
fof(f97,plain,
( ~ group_element(e_1)
| spl4_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f4,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',element_1) ).
fof(f102,plain,
( spl4_6
| ~ spl4_7
| ~ spl4_8
| spl4_5 ),
inference(avatar_split_clause,[],[f89,f85,f99,f95,f91]) ).
fof(f89,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| spl4_5 ),
inference(resolution,[],[f87,f8]) ).
fof(f87,plain,
( ~ product(e_2,e_1,e_2)
| spl4_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( ~ spl4_5
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f83,f74,f85]) ).
fof(f83,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl4_3 ),
inference(factoring,[],[f75]) ).
fof(f80,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f65,f77,f74]) ).
fof(f65,plain,
! [X6] :
( product(e_2,e_2,e_1)
| ~ product(X6,e_1,e_2)
| ~ product(e_2,e_1,X6) ),
inference(global_subsumption,[],[f5,f64]) ).
fof(f64,plain,
! [X6] :
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| ~ product(X6,e_1,e_2)
| ~ product(e_2,e_1,X6) ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f56,plain,
! [X6] :
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| ~ product(X6,e_1,e_2)
| ~ product(e_2,e_1,X6) ),
inference(resolution,[],[f8,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ product(X0,e_2,X0)
| ~ product(X1,e_1,X0)
| ~ product(X0,e_1,X1) ),
inference(factoring,[],[f27]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X2,e_2,X0)
| ~ product(X3,e_1,X1)
| ~ product(X2,e_1,X3) ),
inference(resolution,[],[f24,f14]) ).
fof(f14,plain,
! [X2,X6,X9,X5] :
( sP0(X5,X6,X9)
| ~ product(X2,X5,X6)
| ~ product(X9,X5,X2) ),
inference(cnf_transformation,[],[f14_D]) ).
fof(f14_D,plain,
! [X9,X6,X5] :
( ! [X2] :
( ~ product(X2,X5,X6)
| ~ product(X9,X5,X2) )
<=> ~ sP0(X5,X6,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ sP0(e_1,X0,X1)
| ~ product(X2,e_2,X0)
| ~ product(X1,e_2,X2) ),
inference(resolution,[],[f23,f16]) ).
fof(f16,plain,
! [X8,X6,X9,X7] :
( sP1(X6,X9,X8)
| ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
! [X8,X9,X6] :
( ! [X7] :
( ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) )
<=> ~ sP1(X6,X9,X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
! [X0,X1] :
( ~ sP1(X0,X1,e_2)
| ~ sP0(e_1,X0,X1) ),
inference(resolution,[],[f6,f17]) ).
fof(f17,plain,
! [X8,X6,X9,X5] :
( equalish(X5,X8)
| ~ sP0(X5,X6,X9)
| ~ sP1(X6,X9,X8) ),
inference(general_splitting,[],[f15,f16_D]) ).
fof(f15,plain,
! [X8,X6,X9,X7,X5] :
( equalish(X5,X8)
| ~ product(X9,X8,X7)
| ~ product(X7,X8,X6)
| ~ sP0(X5,X6,X9) ),
inference(general_splitting,[],[f13,f14_D]) ).
fof(f13,axiom,
! [X2,X8,X6,X9,X7,X5] :
( equalish(X5,X8)
| ~ product(X9,X8,X7)
| ~ product(X9,X5,X2)
| ~ product(X7,X8,X6)
| ~ product(X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',qg1_2) ).
fof(f46,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f38,f44,f41]) ).
fof(f38,plain,
! [X3,X4] :
( ~ product(e_2,X4,e_1)
| ~ product(e_2,X3,e_2)
| ~ product(e_1,X4,e_2) ),
inference(factoring,[],[f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(e_2,X3,X2)
| ~ product(X0,X3,e_2)
| ~ product(e_1,X1,X2) ),
inference(resolution,[],[f29,f18]) ).
fof(f18,plain,
! [X8,X6,X9,X7] :
( sP2(X6,X7,X9)
| ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) ),
inference(cnf_transformation,[],[f18_D]) ).
fof(f18_D,plain,
! [X9,X7,X6] :
( ! [X8] :
( ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) )
<=> ~ sP2(X6,X7,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ sP2(X2,e_2,X0)
| ~ product(X0,X1,e_1)
| ~ product(e_1,X1,X2) ),
inference(resolution,[],[f22,f6]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] :
( equalish(X0,X4)
| ~ product(X3,X1,X0)
| ~ sP2(X2,X4,X3)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f21,f20]) ).
fof(f20,plain,
! [X2,X6,X9,X7] :
( sP3(X6,X9,X2)
| ~ sP2(X6,X7,X9)
| equalish(X2,X7) ),
inference(cnf_transformation,[],[f20_D]) ).
fof(f20_D,plain,
! [X2,X9,X6] :
( ! [X7] :
( ~ sP2(X6,X7,X9)
| equalish(X2,X7) )
<=> ~ sP3(X6,X9,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f21,plain,
! [X2,X6,X9,X5] :
( ~ sP3(X6,X9,X2)
| ~ product(X2,X5,X6)
| ~ product(X9,X5,X2) ),
inference(general_splitting,[],[f19,f20_D]) ).
fof(f19,plain,
! [X2,X6,X9,X7,X5] :
( equalish(X2,X7)
| ~ product(X9,X5,X2)
| ~ product(X2,X5,X6)
| ~ sP2(X6,X7,X9) ),
inference(general_splitting,[],[f12,f18_D]) ).
fof(f12,axiom,
! [X2,X8,X6,X9,X7,X5] :
( equalish(X2,X7)
| ~ product(X9,X8,X7)
| ~ product(X9,X5,X2)
| ~ product(X7,X8,X6)
| ~ product(X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687',qg1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n015.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 : Mon Aug 28 21:27:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.gE2hqbOLvK/Vampire---4.8_3687
% 0.14/0.36 % (3799)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (3804)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (3802)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42 % (3805)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42 % (3803)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (3801)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42 % (3806)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42 % (3805)Refutation not found, incomplete strategy% (3805)------------------------------
% 0.21/0.42 % (3805)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (3805)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (3805)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (3805)Memory used [KB]: 5373
% 0.21/0.42 % (3805)Time elapsed: 0.003 s
% 0.21/0.42 % (3805)------------------------------
% 0.21/0.42 % (3805)------------------------------
% 0.21/0.42 % (3803)First to succeed.
% 0.21/0.43 % (3803)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (3803)------------------------------
% 0.21/0.43 % (3803)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (3803)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (3803)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (3803)Memory used [KB]: 9978
% 0.21/0.43 % (3803)Time elapsed: 0.009 s
% 0.21/0.43 % (3803)------------------------------
% 0.21/0.43 % (3803)------------------------------
% 0.21/0.43 % (3799)Success in time 0.067 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------