TSTP Solution File: HEN005-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN005-3 : 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 : n005.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 01:57:10 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 28 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 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 : 15 (; 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f155,f26]) ).
fof(f26,plain,
zero != divide(a,c),
inference(resolution,[],[f2,f10]) ).
fof(f10,axiom,
~ less_equal(a,c),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',prove_a_LE_c) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',quotient_less_equal2) ).
fof(f155,plain,
zero = divide(a,c),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
( zero != zero
| zero = divide(a,c) ),
inference(superposition,[],[f61,f138]) ).
fof(f138,plain,
zero = divide(divide(a,c),zero),
inference(resolution,[],[f133,f31]) ).
fof(f31,plain,
! [X5] :
( ~ less_equal(X5,zero)
| zero = X5 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',less_equal_and_equal) ).
fof(f133,plain,
less_equal(divide(divide(a,c),zero),zero),
inference(superposition,[],[f123,f15]) ).
fof(f15,plain,
zero = divide(b,c),
inference(resolution,[],[f1,f9]) ).
fof(f9,axiom,
less_equal(b,c),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',b_LE_c) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',quotient_less_equal1) ).
fof(f123,plain,
! [X7] : less_equal(divide(divide(a,X7),divide(b,X7)),zero),
inference(forward_demodulation,[],[f109,f13]) ).
fof(f13,plain,
! [X3] : zero = divide(zero,X3),
inference(resolution,[],[f1,f5]) ).
fof(f109,plain,
! [X7] : less_equal(divide(divide(a,X7),divide(b,X7)),divide(zero,X7)),
inference(superposition,[],[f4,f14]) ).
fof(f14,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f8]) ).
fof(f8,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',a_LE_b) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455',quotient_property) ).
fof(f61,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(resolution,[],[f31,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 13:25:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.1bg3w3m6Uz/Vampire---4.8_16455
% 0.14/0.35 % (16602)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (16610)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)
% 0.20/0.42 % (16609)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)
% 0.20/0.42 % (16607)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)
% 0.20/0.42 % (16608)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)
% 0.20/0.42 % (16604)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)
% 0.20/0.42 % (16605)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)
% 0.20/0.42 % (16611)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)
% 0.20/0.42 % (16605)First to succeed.
% 0.20/0.42 % (16608)Also succeeded, but the first one will report.
% 0.20/0.42 % (16610)Also succeeded, but the first one will report.
% 0.20/0.42 % (16605)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (16605)------------------------------
% 0.20/0.42 % (16605)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (16605)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (16605)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (16605)Memory used [KB]: 9978
% 0.20/0.42 % (16605)Time elapsed: 0.008 s
% 0.20/0.42 % (16605)------------------------------
% 0.20/0.42 % (16605)------------------------------
% 0.20/0.42 % (16602)Success in time 0.068 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------