TSTP Solution File: GRP130-3.003 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP130-3.003 : 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 : n032.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 : Fri Sep 1 15:39:12 EDT 2023
% Result : Unsatisfiable 0.12s 0.34s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 12 unt; 0 def)
% Number of atoms : 232 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 187 ( 27 ~; 160 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 (; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f366,plain,
$false,
inference(subsumption_resolution,[],[f359,f22]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',e_2_is_not_e_1) ).
fof(f359,plain,
equalish(e_2,e_1),
inference(resolution,[],[f355,f186]) ).
fof(f186,plain,
! [X3] :
( ~ product(e_1,X3,e_1)
| equalish(X3,e_1) ),
inference(resolution,[],[f181,f28]) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X1)
| equalish(X3,X2)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',product_right_cancellation) ).
fof(f181,plain,
product(e_1,e_1,e_1),
inference(subsumption_resolution,[],[f179,f22]) ).
fof(f179,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,plain,
( product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f171,f152]) ).
fof(f152,plain,
! [X3] :
( ~ product(e_1,X3,e_2)
| equalish(X3,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f146,f28]) ).
fof(f146,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(subsumption_resolution,[],[f145,f30]) ).
fof(f30,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X4,X5)
| product(X5,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',qg3) ).
fof(f145,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f138,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f133,f53]) ).
fof(f53,plain,
! [X5] :
( ~ product(e_1,e_3,X5)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(X5,e_1,e_1) ),
inference(resolution,[],[f45,f30]) ).
fof(f45,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f42,f17]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',element_1) ).
fof(f42,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[],[f26,f17]) ).
fof(f26,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',product_total_function1) ).
fof(f133,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(subsumption_resolution,[],[f132,f53]) ).
fof(f132,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(subsumption_resolution,[],[f131,f21]) ).
fof(f21,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',e_1_is_not_e_3) ).
fof(f131,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| equalish(e_1,e_3) ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| equalish(e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,[],[f66,f73]) ).
fof(f73,plain,
! [X1] :
( ~ product(e_3,X1,e_1)
| product(e_1,e_3,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,[],[f71,f28]) ).
fof(f71,plain,
( product(e_3,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(duplicate_literal_removal,[],[f70]) ).
fof(f70,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[],[f64,f47]) ).
fof(f47,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[],[f42,f19]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',element_3) ).
fof(f64,plain,
! [X3] :
( ~ product(e_1,e_3,X3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(X3,e_3,e_1) ),
inference(resolution,[],[f47,f30]) ).
fof(f66,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(subsumption_resolution,[],[f60,f53]) ).
fof(f60,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[],[f47,f53]) ).
fof(f171,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_1,e_1) ),
inference(subsumption_resolution,[],[f155,f154]) ).
fof(f154,plain,
! [X5] :
( ~ product(e_1,e_2,X5)
| product(e_1,e_1,e_1)
| product(X5,e_1,e_1) ),
inference(resolution,[],[f146,f30]) ).
fof(f155,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(subsumption_resolution,[],[f148,f21]) ).
fof(f148,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| equalish(e_1,e_3)
| product(e_1,e_2,e_2) ),
inference(resolution,[],[f146,f98]) ).
fof(f98,plain,
! [X1] :
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_2,e_2) ),
inference(resolution,[],[f93,f28]) ).
fof(f93,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f92,f58]) ).
fof(f58,plain,
! [X3] :
( ~ product(e_1,e_3,X3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(X3,e_2,e_1) ),
inference(resolution,[],[f46,f30]) ).
fof(f46,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f42,f18]) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',element_2) ).
fof(f92,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(subsumption_resolution,[],[f91,f23]) ).
fof(f23,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',e_2_is_not_e_3) ).
fof(f91,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| equalish(e_2,e_3) ),
inference(duplicate_literal_removal,[],[f86]) ).
fof(f86,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| equalish(e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,[],[f65,f73]) ).
fof(f65,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2) ),
inference(subsumption_resolution,[],[f59,f58]) ).
fof(f59,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[],[f47,f58]) ).
fof(f355,plain,
product(e_1,e_2,e_1),
inference(subsumption_resolution,[],[f353,f20]) ).
fof(f20,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',e_1_is_not_e_2) ).
fof(f353,plain,
( product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f345,plain,
( product(e_1,e_2,e_1)
| equalish(e_1,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f343,f105]) ).
fof(f105,plain,
! [X1] :
( ~ product(e_2,X1,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f102,f28]) ).
fof(f102,plain,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f101,f30]) ).
fof(f101,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f95,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[],[f93,f58]) ).
fof(f343,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f342,f22]) ).
fof(f342,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f335,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f334,f106]) ).
fof(f106,plain,
! [X2] :
( ~ product(e_2,e_2,X2)
| equalish(X2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f102,f27]) ).
fof(f27,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| equalish(X3,X2)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',product_total_function2) ).
fof(f334,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f326,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[],[f325,f107]) ).
fof(f107,plain,
! [X3] :
( ~ product(e_2,e_1,X3)
| product(e_1,e_2,e_1)
| product(X3,e_2,e_2) ),
inference(resolution,[],[f102,f30]) ).
fof(f325,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f324,f24]) ).
fof(f24,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.CK3pMceRV5/Vampire---4.8_28260',e_3_is_not_e_1) ).
fof(f324,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| equalish(e_3,e_1) ),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f319,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| equalish(e_3,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f317,f106]) ).
fof(f317,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f316,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f305,f294]) ).
fof(f294,plain,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f198,f107]) ).
fof(f198,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f43,f17]) ).
fof(f43,plain,
! [X1] :
( ~ group_element(X1)
| product(e_2,X1,e_3)
| product(e_2,X1,e_2)
| product(e_2,X1,e_1) ),
inference(resolution,[],[f26,f18]) ).
fof(f305,plain,
! [X3] :
( ~ product(e_3,e_2,X3)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(X3,e_2,e_3) ),
inference(resolution,[],[f294,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.09 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Aug 30 17:28:18 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.12/0.33 % (28505)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (28528)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.12/0.34 % (28532)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.12/0.34 % (28534)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.12/0.34 % (28530)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 Vampire---4 for (476ds/0Mi)
% 0.12/0.34 Detected minimum model sizes of [1]
% 0.12/0.34 Detected maximum model sizes of [4]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 Detected minimum model sizes of [1]
% 0.12/0.34 Detected maximum model sizes of [4]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 % (28529)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.12/0.34 TRYING [2]
% 0.12/0.34 % (28531)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.12/0.34 % (28533)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.12/0.34 TRYING [3]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 Detected minimum model sizes of [1]
% 0.12/0.34 Detected maximum model sizes of [4]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 Detected minimum model sizes of [1]
% 0.12/0.34 Detected maximum model sizes of [4]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [4]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 TRYING [4]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 % (28532)First to succeed.
% 0.12/0.34 TRYING [4]
% 0.12/0.34 % (28528)Also succeeded, but the first one will report.
% 0.12/0.34 TRYING [4]
% 0.12/0.34 % (28532)Refutation found. Thanks to Tanya!
% 0.12/0.34 % SZS status Unsatisfiable for Vampire---4
% 0.12/0.34 % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.34 % (28532)------------------------------
% 0.12/0.34 % (28532)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.34 % (28532)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.34 % (28532)Termination reason: Refutation
% 0.12/0.34
% 0.12/0.34 % (28532)Memory used [KB]: 1023
% 0.12/0.34 % (28532)Time elapsed: 0.008 s
% 0.12/0.34 % (28532)------------------------------
% 0.12/0.34 % (28532)------------------------------
% 0.12/0.34 % (28505)Success in time 0.057 s
% 0.12/0.34 % Vampire---4.8 exiting
%------------------------------------------------------------------------------