TSTP Solution File: FLD013-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD013-5 : 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 : n002.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 29 (; 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5117,plain,
$false,
inference(subsumption_resolution,[],[f5116,f37]) ).
fof(f37,axiom,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',not_sum_11) ).
fof(f5116,plain,
sum(additive_identity,u,v),
inference(resolution,[],[f5106,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',commutativity_addition) ).
fof(f5106,plain,
sum(u,additive_identity,v),
inference(resolution,[],[f5105,f4976]) ).
fof(f4976,plain,
! [X1] :
( ~ sum(X1,additive_inverse(b),d)
| sum(X1,additive_identity,v) ),
inference(resolution,[],[f4602,f161]) ).
fof(f161,plain,
sum(additive_inverse(b),b,additive_identity),
inference(resolution,[],[f4,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',b_is_defined) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',existence_of_inverse_addition) ).
fof(f4602,plain,
! [X145,X146,X144] :
( ~ sum(X144,b,X145)
| ~ sum(X146,X144,d)
| sum(X146,X145,v) ),
inference(resolution,[],[f1,f36]) ).
fof(f36,axiom,
sum(d,b,v),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',sum_10) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',associativity_addition_1) ).
fof(f5105,plain,
sum(u,additive_inverse(b),d),
inference(resolution,[],[f5098,f5]) ).
fof(f5098,plain,
sum(additive_inverse(b),u,d),
inference(resolution,[],[f5082,f161]) ).
fof(f5082,plain,
! [X1] :
( ~ sum(X1,b,additive_identity)
| sum(X1,u,d) ),
inference(resolution,[],[f5077,f4568]) ).
fof(f4568,plain,
! [X44,X42,X43] :
( ~ sum(X42,c,X43)
| ~ sum(X44,X42,additive_identity)
| sum(X44,X43,d) ),
inference(resolution,[],[f1,f34]) ).
fof(f34,axiom,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',sum_8) ).
fof(f5077,plain,
sum(b,c,u),
inference(resolution,[],[f5075,f188]) ).
fof(f188,plain,
sum(a,additive_identity,b),
inference(resolution,[],[f5,f33]) ).
fof(f33,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',sum_7) ).
fof(f5075,plain,
! [X0] :
( ~ sum(a,additive_identity,X0)
| sum(X0,c,u) ),
inference(resolution,[],[f4649,f64]) ).
fof(f64,plain,
sum(additive_identity,c,c),
inference(resolution,[],[f3,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',c_is_defined) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',existence_of_identity_addition) ).
fof(f4649,plain,
! [X113,X111,X112] :
( ~ sum(X111,X112,c)
| ~ sum(a,X111,X113)
| sum(X113,X112,u) ),
inference(resolution,[],[f2,f35]) ).
fof(f35,axiom,
sum(a,c,u),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',sum_9) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.1JAUBuJIVL/Vampire---4.8_7749',associativity_addition_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : FLD013-5 : 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
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 30 17:07:36 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.41 % (7857)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (7858)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 % (7859)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.41 % (7862)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.41 % (7860)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)
% 0.18/0.41 % (7864)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.41 % (7863)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.41 % (7865)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)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 TRYING [4]
% 0.18/0.43 TRYING [4]
% 0.18/0.43 TRYING [4]
% 0.18/0.43 TRYING [4]
% 0.18/0.44 TRYING [5]
% 0.18/0.45 TRYING [5]
% 0.18/0.46 TRYING [5]
% 0.18/0.47 TRYING [5]
% 0.18/0.48 % (7863)First to succeed.
% 0.18/0.48 % (7863)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.48 % (7863)------------------------------
% 0.18/0.48 % (7863)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.48 % (7863)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.48 % (7863)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (7863)Memory used [KB]: 2814
% 0.18/0.48 % (7863)Time elapsed: 0.070 s
% 0.18/0.48 % (7863)------------------------------
% 0.18/0.48 % (7863)------------------------------
% 0.18/0.48 % (7857)Success in time 0.134 s
% 0.18/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------