TSTP Solution File: FLD014-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n024.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 14:28:00 EDT 2023
% Result : Unsatisfiable 1.20s 0.72s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 32 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9076,plain,
$false,
inference(subsumption_resolution,[],[f9075,f220]) ).
fof(f220,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(subsumption_resolution,[],[f218,f199]) ).
fof(f199,plain,
less_or_equal(additive_identity,additive_identity),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,plain,
( less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[],[f43,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',well_definedness_of_additive_identity) ).
fof(f43,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_identity)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f23,f14]) ).
fof(f23,axiom,
! [X3,X0] :
( ~ defined(X0)
| ~ defined(X3)
| less_or_equal(X3,X0)
| less_or_equal(X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',totality_of_order_relation) ).
fof(f218,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(resolution,[],[f199,f21]) ).
fof(f21,axiom,
! [X3,X0] :
( ~ less_or_equal(X0,X3)
| ~ less_or_equal(X3,X0)
| sum(additive_identity,X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',antisymmetry_of_order_relation) ).
fof(f9075,plain,
~ sum(additive_identity,additive_identity,additive_identity),
inference(subsumption_resolution,[],[f9068,f30]) ).
fof(f30,axiom,
~ sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',not_sum_4) ).
fof(f9068,plain,
( sum(additive_identity,additive_inverse(a),additive_inverse(b))
| ~ sum(additive_identity,additive_identity,additive_identity) ),
inference(resolution,[],[f1269,f273]) ).
fof(f273,plain,
! [X4] :
( sum(b,additive_inverse(a),X4)
| ~ sum(additive_identity,additive_identity,X4) ),
inference(subsumption_resolution,[],[f260,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',a_is_defined) ).
fof(f260,plain,
! [X4] :
( ~ sum(additive_identity,additive_identity,X4)
| sum(b,additive_inverse(a),X4)
| ~ defined(a) ),
inference(resolution,[],[f123,f33]) ).
fof(f33,plain,
! [X1] :
( sum(X1,additive_inverse(X1),additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f5,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',commutativity_addition) ).
fof(f123,plain,
! [X18,X19,X17] :
( ~ sum(a,X17,X18)
| ~ sum(additive_identity,X18,X19)
| sum(b,X17,X19) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',sum_3) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X1,X2)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',associativity_addition_2) ).
fof(f1269,plain,
! [X11] :
( ~ sum(b,X11,additive_identity)
| sum(additive_identity,X11,additive_inverse(b)) ),
inference(resolution,[],[f388,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',b_is_defined) ).
fof(f388,plain,
! [X2,X3] :
( ~ defined(X2)
| sum(additive_identity,X3,additive_inverse(X2))
| ~ sum(X2,X3,additive_identity) ),
inference(subsumption_resolution,[],[f382,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',well_definedness_of_additive_inverse) ).
fof(f382,plain,
! [X2,X3] :
( ~ sum(X2,X3,additive_identity)
| sum(additive_identity,X3,additive_inverse(X2))
| ~ defined(X2)
| ~ defined(additive_inverse(X2)) ),
inference(resolution,[],[f126,f32]) ).
fof(f32,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9W8BnP7ZXL/Vampire---4.8_2619',existence_of_identity_addition) ).
fof(f126,plain,
! [X31,X28,X29,X30] :
( ~ sum(additive_inverse(X28),X30,X31)
| ~ sum(X28,X29,X30)
| sum(additive_identity,X29,X31)
| ~ defined(X28) ),
inference(resolution,[],[f2,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 16:49:52 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.43 % (2736)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (2739)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)
% 0.23/0.43 % (2741)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.23/0.43 % (2740)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (2738)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (2742)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.23/0.43 % (2743)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)
% 0.23/0.43 % (2737)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 TRYING [3]
% 0.23/0.44 TRYING [3]
% 0.23/0.44 TRYING [3]
% 0.23/0.44 TRYING [3]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [4]
% 0.23/0.48 TRYING [5]
% 0.23/0.48 TRYING [5]
% 0.23/0.49 TRYING [5]
% 0.23/0.50 TRYING [5]
% 0.23/0.57 TRYING [6]
% 0.23/0.57 TRYING [6]
% 0.23/0.59 TRYING [6]
% 0.23/0.60 TRYING [6]
% 1.20/0.72 % (2742)First to succeed.
% 1.20/0.72 % (2742)Refutation found. Thanks to Tanya!
% 1.20/0.72 % SZS status Unsatisfiable for Vampire---4
% 1.20/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 1.20/0.72 % (2742)------------------------------
% 1.20/0.72 % (2742)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.20/0.72 % (2742)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.20/0.72 % (2742)Termination reason: Refutation
% 1.20/0.72
% 1.20/0.72 % (2742)Memory used [KB]: 9338
% 1.20/0.72 % (2742)Time elapsed: 0.286 s
% 1.20/0.72 % (2742)------------------------------
% 1.20/0.72 % (2742)------------------------------
% 1.20/0.72 % (2736)Success in time 0.349 s
% 1.20/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------