TSTP Solution File: FLD067-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD067-4 : 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 : n006.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 Aug 30 22:38:00 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 25 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 11 (; 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(subsumption_resolution,[],[f202,f32]) ).
fof(f32,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',not_less_or_equal_6) ).
fof(f202,plain,
less_or_equal(additive_identity,u),
inference(subsumption_resolution,[],[f165,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',less_or_equal_4) ).
fof(f165,plain,
( ~ less_or_equal(a,b)
| less_or_equal(additive_identity,u) ),
inference(resolution,[],[f156,f40]) ).
fof(f40,plain,
sum(a,sF0,additive_identity),
inference(forward_literal_rewriting,[],[f39,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',commutativity_addition) ).
fof(f39,plain,
sum(sF0,a,additive_identity),
inference(subsumption_resolution,[],[f38,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',a_is_defined) ).
fof(f38,plain,
( sum(sF0,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f4,f33]) ).
fof(f33,plain,
additive_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',existence_of_inverse_addition) ).
fof(f156,plain,
! [X28,X27] :
( ~ sum(X28,sF0,X27)
| ~ less_or_equal(X28,b)
| less_or_equal(X27,u) ),
inference(resolution,[],[f24,f34]) ).
fof(f34,plain,
sum(b,sF0,u),
inference(definition_folding,[],[f31,f33]) ).
fof(f31,axiom,
sum(b,additive_inverse(a),u),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',sum_5) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| less_or_equal(X4,X1)
| ~ less_or_equal(X0,X3)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n006.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 : Mon Aug 28 00:39:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.21/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.YGj6lgJ2gL/Vampire---4.8_6096
% 0.21/0.37 % (6245)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (6250)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 % (6247)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42 % (6255)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 % (6252)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 % (6259)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)
% 0.21/0.43 % (6248)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)
% 0.21/0.43 % (6255)First to succeed.
% 0.21/0.43 % (6255)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 % (6255)------------------------------
% 0.21/0.43 % (6255)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (6255)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (6255)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (6255)Memory used [KB]: 5500
% 0.21/0.43 % (6255)Time elapsed: 0.009 s
% 0.21/0.43 % (6255)------------------------------
% 0.21/0.43 % (6255)------------------------------
% 0.21/0.43 % (6245)Success in time 0.066 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------