TSTP Solution File: HWV005-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 : Sun May 5 06:12:06 EDT 2024
% Result : Unsatisfiable 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 78 ( 24 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 155 ( 73 ~; 76 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 18 ( 17 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[f108,f148,f178,f188,f212,f253,f259]) ).
fof(f259,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f257,f44]) ).
fof(f44,axiom,
zero(outs(h)),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',outs_0) ).
fof(f257,plain,
( ~ zero(outs(h))
| ~ spl0_3 ),
inference(resolution,[],[f103,f5]) ).
fof(f5,axiom,
! [X2] :
( ~ one(X2)
| ~ zero(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',unique_value) ).
fof(f103,plain,
( one(outs(h))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_3
<=> one(outs(h)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f253,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f251,f41]) ).
fof(f41,axiom,
halfadder(h),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',h_isa_halfadder) ).
fof(f251,plain,
( ~ halfadder(h)
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f250,f28]) ).
fof(f28,axiom,
! [X4] :
( logic_and(and1(X4))
| ~ halfadder(X4) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_and1) ).
fof(f250,plain,
( ~ logic_and(and1(h))
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f249,f46]) ).
fof(f46,axiom,
~ abnormal(and1(h)),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',diagnosis_and1) ).
fof(f249,plain,
( abnormal(and1(h))
| ~ logic_and(and1(h))
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f239,f13]) ).
fof(f13,axiom,
! [X3] :
( and_ok(X3)
| abnormal(X3)
| ~ logic_and(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',and_ok_or_abnormal) ).
fof(f239,plain,
( ~ and_ok(and1(h))
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f238,f136]) ).
fof(f136,plain,
( one(in1(and1(h)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl0_8
<=> one(in1(and1(h))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f238,plain,
( ~ one(in1(and1(h)))
| ~ and_ok(and1(h))
| spl0_4
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f235,f107]) ).
fof(f107,plain,
( ~ one(out1(and1(h)))
| spl0_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_4
<=> one(out1(and1(h))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f235,plain,
( one(out1(and1(h)))
| ~ one(in1(and1(h)))
| ~ and_ok(and1(h))
| ~ spl0_12 ),
inference(resolution,[],[f166,f8]) ).
fof(f8,axiom,
! [X3] :
( ~ one(in2(X3))
| one(out1(X3))
| ~ one(in1(X3))
| ~ and_ok(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',and_11_1) ).
fof(f166,plain,
( one(in2(and1(h)))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_12
<=> one(in2(and1(h))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f212,plain,
spl0_11,
inference(avatar_split_clause,[],[f211,f161]) ).
fof(f161,plain,
( spl0_11
<=> one(out1(not1(h))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f211,plain,
one(out1(not1(h))),
inference(subsumption_resolution,[],[f207,f190]) ).
fof(f190,plain,
not_ok(not1(h)),
inference(subsumption_resolution,[],[f189,f47]) ).
fof(f47,axiom,
~ abnormal(not1(h)),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',diagnosis_not1) ).
fof(f189,plain,
( abnormal(not1(h))
| not_ok(not1(h)) ),
inference(resolution,[],[f51,f41]) ).
fof(f51,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(not1(X0))
| not_ok(not1(X0)) ),
inference(resolution,[],[f27,f30]) ).
fof(f30,axiom,
! [X4] :
( logic_not(not1(X4))
| ~ halfadder(X4) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_not1) ).
fof(f27,axiom,
! [X3] :
( ~ logic_not(X3)
| not_ok(X3)
| abnormal(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',not_ok_or_abnormal) ).
fof(f207,plain,
( one(out1(not1(h)))
| ~ not_ok(not1(h)) ),
inference(resolution,[],[f155,f22]) ).
fof(f22,axiom,
! [X3] :
( ~ zero(in1(X3))
| one(out1(X3))
| ~ not_ok(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',not_0_1_fw) ).
fof(f155,plain,
zero(in1(not1(h))),
inference(subsumption_resolution,[],[f153,f125]) ).
fof(f125,plain,
zero(out1(and2(h))),
inference(subsumption_resolution,[],[f114,f45]) ).
fof(f45,axiom,
zero(outc(h)),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',outc_0) ).
fof(f114,plain,
( ~ zero(outc(h))
| zero(out1(and2(h))) ),
inference(resolution,[],[f79,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ zero(X0)
| zero(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',value_propagation_zero1) ).
fof(f79,plain,
connection(outc(h),out1(and2(h))),
inference(resolution,[],[f37,f41]) ).
fof(f37,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(outc(X4),out1(and2(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_connection_outc_out1and2) ).
fof(f153,plain,
( ~ zero(out1(and2(h)))
| zero(in1(not1(h))) ),
inference(resolution,[],[f81,f1]) ).
fof(f81,plain,
connection(out1(and2(h)),in1(not1(h))),
inference(resolution,[],[f39,f41]) ).
fof(f39,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(out1(and2(X4)),in1(not1(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_connection_out1and2_in1not1) ).
fof(f188,plain,
spl0_7,
inference(avatar_split_clause,[],[f185,f131]) ).
fof(f131,plain,
( spl0_7
<=> one(out1(or1(h))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f185,plain,
one(out1(or1(h))),
inference(subsumption_resolution,[],[f183,f59]) ).
fof(f59,plain,
one(in1(or1(h))),
inference(subsumption_resolution,[],[f56,f42]) ).
fof(f42,axiom,
one(in1(h)),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',in1_1) ).
fof(f56,plain,
( ~ one(in1(h))
| one(in1(or1(h))) ),
inference(resolution,[],[f52,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ one(X0)
| one(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',value_propagation_one1) ).
fof(f52,plain,
connection(in1(h),in1(or1(h))),
inference(resolution,[],[f32,f41]) ).
fof(f32,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(in1(X4),in1(or1(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_connection_in1_in1or1) ).
fof(f183,plain,
( ~ one(in1(or1(h)))
| one(out1(or1(h))) ),
inference(resolution,[],[f181,f14]) ).
fof(f14,axiom,
! [X3] :
( ~ or_ok(X3)
| ~ one(in1(X3))
| one(out1(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',or_1x_1) ).
fof(f181,plain,
or_ok(or1(h)),
inference(subsumption_resolution,[],[f180,f48]) ).
fof(f48,axiom,
~ abnormal(or1(h)),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',diagnosis_or1) ).
fof(f180,plain,
( abnormal(or1(h))
| or_ok(or1(h)) ),
inference(resolution,[],[f50,f41]) ).
fof(f50,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(or1(X0))
| or_ok(or1(X0)) ),
inference(resolution,[],[f21,f31]) ).
fof(f31,axiom,
! [X4] :
( logic_or(or1(X4))
| ~ halfadder(X4) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_or1) ).
fof(f21,axiom,
! [X3] :
( ~ logic_or(X3)
| or_ok(X3)
| abnormal(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',or_ok_or_abnormal) ).
fof(f178,plain,
( spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f158,f161,f165]) ).
fof(f158,plain,
( ~ one(out1(not1(h)))
| one(in2(and1(h))) ),
inference(resolution,[],[f82,f2]) ).
fof(f82,plain,
connection(out1(not1(h)),in2(and1(h))),
inference(resolution,[],[f40,f41]) ).
fof(f40,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(out1(not1(X4)),in2(and1(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_connection_out1not1_in2and1) ).
fof(f148,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f128,f131,f135]) ).
fof(f128,plain,
( ~ one(out1(or1(h)))
| one(in1(and1(h))) ),
inference(resolution,[],[f80,f2]) ).
fof(f80,plain,
connection(out1(or1(h)),in1(and1(h))),
inference(resolution,[],[f38,f41]) ).
fof(f38,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(out1(or1(X4)),in1(and1(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_connection_out1or1_in1_and1) ).
fof(f108,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f96,f105,f101]) ).
fof(f96,plain,
( ~ one(out1(and1(h)))
| one(outs(h)) ),
inference(resolution,[],[f63,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ one(X1)
| one(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',value_propagation_one2) ).
fof(f63,plain,
connection(outs(h),out1(and1(h))),
inference(resolution,[],[f36,f41]) ).
fof(f36,axiom,
! [X4] :
( ~ halfadder(X4)
| connection(outs(X4),out1(and1(X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555',halfadder_connection_outs_out1and1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.26 % Computer : n025.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Fri May 3 21:38:53 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.26 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.08/0.26 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.FiU6MbJZfH/Vampire---4.8_13555
% 0.40/0.57 % (13730)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.40/0.57 % (13737)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.40/0.57 % (13731)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.40/0.57 % (13732)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.40/0.57 % (13733)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.40/0.57 % (13734)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.40/0.57 % (13735)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.40/0.57 % (13736)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.40/0.57 % (13733)Refutation not found, incomplete strategy% (13733)------------------------------
% 0.40/0.57 % (13733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.57 % (13733)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.57
% 0.40/0.57 % (13733)Memory used [KB]: 980
% 0.40/0.57 % (13733)Time elapsed: 0.002 s
% 0.40/0.57 % (13733)Instructions burned: 2 (million)
% 0.40/0.57 % (13735)Refutation not found, incomplete strategy% (13735)------------------------------
% 0.40/0.57 % (13735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.57 % (13735)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.57
% 0.40/0.57 % (13735)Memory used [KB]: 980
% 0.40/0.57 % (13735)Time elapsed: 0.002 s
% 0.40/0.57 % (13735)Instructions burned: 2 (million)
% 0.40/0.57 % (13733)------------------------------
% 0.40/0.57 % (13733)------------------------------
% 0.40/0.57 % (13735)------------------------------
% 0.40/0.57 % (13735)------------------------------
% 0.40/0.57 % (13730)Refutation not found, incomplete strategy% (13730)------------------------------
% 0.40/0.57 % (13730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.57 % (13730)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.57
% 0.40/0.57 % (13730)Memory used [KB]: 1091
% 0.40/0.57 % (13730)Time elapsed: 0.004 s
% 0.40/0.57 % (13730)Instructions burned: 8 (million)
% 0.40/0.57 % (13730)------------------------------
% 0.40/0.57 % (13730)------------------------------
% 0.42/0.58 % (13734)Refutation not found, incomplete strategy% (13734)------------------------------
% 0.42/0.58 % (13734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.58 % (13734)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.58
% 0.42/0.58 % (13734)Memory used [KB]: 1079
% 0.42/0.58 % (13734)Time elapsed: 0.005 s
% 0.42/0.58 % (13734)Instructions burned: 6 (million)
% 0.42/0.58 % (13739)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.42/0.58 % (13734)------------------------------
% 0.42/0.58 % (13734)------------------------------
% 0.42/0.58 % (13732)First to succeed.
% 0.42/0.58 % (13731)Also succeeded, but the first one will report.
% 0.42/0.58 % (13738)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.42/0.58 % (13740)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.42/0.58 % (13732)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13716"
% 0.42/0.58 % (13736)Refutation not found, incomplete strategy% (13736)------------------------------
% 0.42/0.58 % (13736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.58 % (13736)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.58
% 0.42/0.58 % (13736)Memory used [KB]: 1146
% 0.42/0.58 % (13736)Time elapsed: 0.007 s
% 0.42/0.58 % (13736)Instructions burned: 10 (million)
% 0.42/0.58 % (13738)Refutation not found, incomplete strategy% (13738)------------------------------
% 0.42/0.58 % (13738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.58 % (13736)------------------------------
% 0.42/0.58 % (13736)------------------------------
% 0.42/0.58 % (13738)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.58
% 0.42/0.58 % (13738)Memory used [KB]: 980
% 0.42/0.58 % (13738)Time elapsed: 0.003 s
% 0.42/0.58 % (13738)Instructions burned: 2 (million)
% 0.42/0.58 % (13732)Refutation found. Thanks to Tanya!
% 0.42/0.58 % SZS status Unsatisfiable for Vampire---4
% 0.42/0.58 % SZS output start Proof for Vampire---4
% See solution above
% 0.42/0.58 % (13732)------------------------------
% 0.42/0.58 % (13732)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.58 % (13732)Termination reason: Refutation
% 0.42/0.58
% 0.42/0.58 % (13732)Memory used [KB]: 1043
% 0.42/0.58 % (13732)Time elapsed: 0.007 s
% 0.42/0.58 % (13732)Instructions burned: 8 (million)
% 0.42/0.58 % (13716)Success in time 0.307 s
% 0.42/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------