TSTP Solution File: HEN006-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% 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 : n031.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 01:57:12 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 25 unt; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 (; 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f869,plain,
$false,
inference(resolution,[],[f861,f12]) ).
fof(f12,axiom,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',prove_a_divide_d_LE_b) ).
fof(f861,plain,
less_equal(divide(a,d),b),
inference(trivial_inequality_removal,[],[f847]) ).
fof(f847,plain,
( zero != zero
| less_equal(divide(a,d),b) ),
inference(superposition,[],[f2,f839]) ).
fof(f839,plain,
zero = divide(divide(a,d),b),
inference(resolution,[],[f828,f38]) ).
fof(f38,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',less_equal_and_equal) ).
fof(f828,plain,
less_equal(divide(divide(a,d),b),zero),
inference(forward_demodulation,[],[f799,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',zero_divide_anything_is_zero) ).
fof(f799,plain,
less_equal(divide(divide(a,d),b),divide(zero,b)),
inference(superposition,[],[f320,f109]) ).
fof(f109,plain,
zero = divide(divide(a,d),divide(b,d)),
inference(resolution,[],[f73,f38]) ).
fof(f73,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(superposition,[],[f4,f18]) ).
fof(f18,plain,
zero = divide(divide(a,b),d),
inference(resolution,[],[f1,f11]) ).
fof(f11,axiom,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',a_divide_b_LE_d) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',quotient_less_equal1) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',quotient_property) ).
fof(f320,plain,
! [X8,X9,X7] : less_equal(divide(X9,X7),divide(divide(X9,divide(X7,X8)),X7)),
inference(backward_demodulation,[],[f65,f304]) ).
fof(f304,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f299,f42]) ).
fof(f42,plain,
! [X3,X4] :
( ~ less_equal(X3,divide(X3,X4))
| divide(X3,X4) = X3 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',quotient_smaller_than_numerator) ).
fof(f299,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f283]) ).
fof(f283,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f263]) ).
fof(f263,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f257,f38]) ).
fof(f257,plain,
! [X5] : less_equal(divide(X5,divide(X5,zero)),zero),
inference(trivial_inequality_removal,[],[f246]) ).
fof(f246,plain,
! [X5] :
( zero != zero
| less_equal(divide(X5,divide(X5,zero)),zero) ),
inference(superposition,[],[f2,f214]) ).
fof(f214,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f201,f38]) ).
fof(f201,plain,
! [X3] : less_equal(divide(divide(X3,divide(X3,zero)),zero),zero),
inference(superposition,[],[f63,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',x_divide_x_is_zero) ).
fof(f63,plain,
! [X4,X5] : less_equal(divide(divide(X5,X4),zero),divide(divide(X5,zero),X4)),
inference(superposition,[],[f4,f9]) ).
fof(f65,plain,
! [X8,X9,X7] : less_equal(divide(divide(X9,X7),zero),divide(divide(X9,divide(X7,X8)),X7)),
inference(superposition,[],[f4,f19]) ).
fof(f19,plain,
! [X2,X3] : zero = divide(divide(X2,X3),X2),
inference(resolution,[],[f1,f3]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 14:02:06 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.lUEjAuUSmk/Vampire---4.8_19294
% 0.15/0.36 % (19520)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (19529)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.42 % (19525)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (19526)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (19530)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (19527)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (19523)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (19528)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.44 % (19527)First to succeed.
% 0.22/0.44 % (19525)Also succeeded, but the first one will report.
% 0.22/0.44 % (19527)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (19527)------------------------------
% 0.22/0.44 % (19527)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (19527)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (19527)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (19527)Memory used [KB]: 1279
% 0.22/0.44 % (19527)Time elapsed: 0.017 s
% 0.22/0.44 % (19527)------------------------------
% 0.22/0.44 % (19527)------------------------------
% 0.22/0.44 % (19520)Success in time 0.077 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------