%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO272+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:18 AM UTC 2026
% Result : Theorem 0.18s 2.14s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 14 unt; 0 def)
% Number of atoms : 250 ( 84 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 356 ( 162 ~; 150 |; 36 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 126 ( 120 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1055,X0)
& rcenter(vd1057,X0)
& rcircle(X0) )
=> X0 = vd1063 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(212), 1), imp(the(212)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1055,X0)
& rcenter(vd1057,X0)
& rcircle(X0) )
=> X0 = vd1063 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1055,vd1063)
& rcenter(vd1057,vd1063)
& rcircle(vd1063) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))') ).
fof(f7,axiom,
( vd1057 = vd1058
& vd1055 != vd1057
& rpoint(vd1058)
& vd1055 = vd1056
& rpoint(vd1056) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f28,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f114,plain,
? [X0] :
( vd1063 != X0
& ron(vd1055,X0)
& rcenter(vd1057,X0)
& rcircle(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f115,plain,
? [X0] :
( vd1063 != X0
& ron(vd1055,X0)
& rcenter(vd1057,X0)
& rcircle(X0) ),
inference(flattening,[],[f114]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f122]) ).
fof(f154,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f155,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f154]) ).
fof(f308,plain,
( vd1063 != sK1
& ron(vd1055,sK1)
& rcenter(vd1057,sK1)
& rcircle(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f115]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f121]) ).
fof(f380,plain,
rcenter(vd1057,sK1),
inference(cnf_transformation,[],[f308]) ).
fof(f381,plain,
ron(vd1055,sK1),
inference(cnf_transformation,[],[f308]) ).
fof(f382,plain,
vd1063 != sK1,
inference(cnf_transformation,[],[f308]) ).
fof(f384,plain,
rcenter(vd1057,vd1063),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
ron(vd1055,vd1063),
inference(cnf_transformation,[],[f3]) ).
fof(f391,plain,
rpoint(vd1056),
inference(cnf_transformation,[],[f7]) ).
fof(f392,plain,
vd1055 = vd1056,
inference(cnf_transformation,[],[f7]) ).
fof(f393,plain,
rpoint(vd1058),
inference(cnf_transformation,[],[f7]) ).
fof(f395,plain,
vd1057 = vd1058,
inference(cnf_transformation,[],[f7]) ).
fof(f400,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f401,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(cnf_transformation,[],[f123]) ).
fof(f443,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f627,plain,
! [X2,X3,X0,X1,X5] :
( vf(X2,X0) = vf(X2,X5)
| ~ ron(X0,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f400]) ).
fof(f628,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| vf(X2,X1) = vf(X2,X5)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f627]) ).
fof(f631,plain,
! [X2,X3,X0,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f401]) ).
fof(f632,plain,
! [X2,X3,X6,X4,X5] :
( ~ rcenter(X2,X4)
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| X3 = X4
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f631]) ).
fof(f778,plain,
! [X2,X3,X0] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f443]) ).
fof(f779,plain,
! [X2,X3] :
( vf(X2,X3) = vf(X3,X2)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f778]) ).
fof(f1355,plain,
rpoint(vd1055),
inference(superposition,[],[f391,f392]) ).
fof(f1356,plain,
rpoint(vd1057),
inference(superposition,[],[f393,f395]) ).
fof(f1491,plain,
! [X0,X1] :
( vf(vd1057,X0) = vf(vd1057,X1)
| ~ ron(X1,sK1)
| ~ rpoint(X1)
| ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(resolution,[],[f628,f380]) ).
fof(f1516,plain,
! [X0,X1] :
( vf(vd1057,X0) = vf(X1,vd1057)
| ~ rpoint(vd1057)
| ~ rpoint(X1)
| ~ ron(X1,sK1)
| ~ rpoint(X1)
| ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(superposition,[],[f779,f1491]) ).
fof(f1517,plain,
! [X0,X1] :
( vf(vd1057,X0) = vf(X1,vd1057)
| ~ rpoint(vd1057)
| ~ rpoint(X1)
| ~ ron(X1,sK1)
| ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f1516]) ).
fof(f1539,plain,
! [X0,X1] :
( ~ ron(X1,sK1)
| ~ rpoint(X1)
| vf(vd1057,X0) = vf(X1,vd1057)
| ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1517,f1356]) ).
fof(f1786,plain,
! [X0] :
( ~ rpoint(vd1055)
| vf(vd1057,X0) = vf(vd1055,vd1057)
| ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1539,f381]) ).
fof(f1806,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ rpoint(X0)
| vf(vd1057,X0) = vf(X0,vd1057)
| ~ rpoint(X0) ),
inference(factoring,[],[f1539]) ).
fof(f1807,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ rpoint(X0)
| vf(vd1057,X0) = vf(X0,vd1057) ),
inference(duplicate_literal_removal,[],[f1806]) ).
fof(f1828,plain,
! [X0] :
( ~ ron(X0,sK1)
| vf(vd1057,X0) = vf(vd1055,vd1057)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1786,f1355]) ).
fof(f1860,plain,
( ~ rpoint(vd1055)
| vf(vd1055,vd1057) = vf(vd1057,vd1055) ),
inference(resolution,[],[f1807,f381]) ).
fof(f1893,plain,
vf(vd1055,vd1057) = vf(vd1057,vd1055),
inference(forward_subsumption_resolution,[],[f1860,f1355]) ).
fof(f2027,plain,
! [X2,X0,X1] :
( ~ rcenter(vd1057,X2)
| ~ ron(X0,sK1)
| ~ ron(X1,X2)
| sK1 = X2
| vf(vd1057,X0) != vf(vd1057,X1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f632,f380]) ).
fof(f2634,plain,
! [X0,X1] :
( ~ ron(X0,sK1)
| ~ ron(X1,vd1063)
| vd1063 = sK1
| vf(vd1057,X0) != vf(vd1057,X1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2027,f384]) ).
fof(f2637,plain,
! [X0,X1] :
( ~ ron(X1,vd1063)
| ~ ron(X0,sK1)
| vf(vd1057,X0) != vf(vd1057,X1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f2634,f382]) ).
fof(f2638,plain,
! [X0] :
( ~ ron(X0,sK1)
| vf(vd1057,X0) != vf(vd1057,vd1055)
| ~ rpoint(X0)
| ~ rpoint(vd1055) ),
inference(resolution,[],[f2637,f385]) ).
fof(f2677,plain,
! [X0] :
( ~ ron(X0,sK1)
| vf(vd1057,X0) != vf(vd1057,vd1055)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2638,f1355]) ).
fof(f2708,plain,
! [X0] :
( vf(vd1057,X0) != vf(vd1055,vd1057)
| ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f2677,f1893]) ).
fof(f2709,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2708,f1828]) ).
fof(f2763,plain,
~ rpoint(vd1055),
inference(resolution,[],[f2709,f381]) ).
fof(f2798,plain,
$false,
inference(forward_subsumption_resolution,[],[f2763,f1355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO272+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:01:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.37/1.85 % (1329637)Detected formulas, will run a generic FOF schedule.
% 2.37/1.85 % (1329661)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=934113614:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.37/1.85 % (1329668)dis-21_1_sil=8000:lcm=predicate:random_seed=2029601730:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.37/1.85 % (1329668)Instruction limit reached!
% 2.37/1.85 % (1329668)------------------------------
% 2.37/1.85 % (1329668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.85 % (1329668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.85 % (1329668)CaDiCaL version: 2.1.3
% 2.37/1.85 % (1329668)Termination reason: Instruction limit
% 2.37/1.85 % (1329668)Termination phase: Saturation
% 2.37/1.85 % (1329668)Time elapsed: 0.067 s
% 2.37/1.85 % (1329668)Peak memory usage: 89 MB
% 2.37/1.85 % (1329668)Instructions burned: 132 (million)
% 2.37/1.85 % (1329662)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4031073093:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.37/1.85 % (1329664)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=931147563:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.37/1.85 % (1329663)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3483899870:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.37/1.85 % (1329667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916555007:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.37/1.85 % (1329666)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4220439719:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.37/1.85 % (1329664)Refutation not found, incomplete strategy
% 2.37/1.85 % (1329664)------------------------------
% 2.37/1.85 % (1329664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.85 % (1329664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.85 % (1329664)CaDiCaL version: 2.1.3
% 2.37/1.85 % (1329664)Termination reason: Refutation not found, incomplete strategy
% 2.37/1.85 % (1329664)Time elapsed: 0.004 s
% 2.37/1.85 % (1329664)Peak memory usage: 88 MB
% 2.37/1.85 % (1329664)Instructions burned: 2 (million)
% 2.37/1.85 % (1329666)Instruction limit reached!
% 2.37/1.85 % (1329666)------------------------------
% 2.37/1.85 % (1329666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.85 % (1329666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.85 % (1329666)CaDiCaL version: 2.1.3
% 2.37/1.85 % (1329666)Termination reason: Instruction limit
% 2.37/1.85 % (1329666)Termination phase: Saturation
% 2.37/1.85 % (1329666)Time elapsed: 0.102 s
% 2.37/1.85 % (1329666)Peak memory usage: 89 MB
% 2.37/1.85 % (1329666)Instructions burned: 119 (million)
% 2.37/1.85 % (1329667)First to succeed.
% 2.37/1.85 % (1329667)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1329637"
% 2.37/1.85 % (1329680)lrs+10_1_sil=8000:sp=occurrence:random_seed=4203069296:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.37/1.85 % (1329689)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2985862143:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.37/1.85 % (1329664)------------------------------
% 2.37/1.85 % (1329664)------------------------------
% 2.37/1.85 % (1329689)Instruction limit reached!
% 2.37/1.85 % (1329689)------------------------------
% 2.37/1.85 % (1329689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.85 % (1329689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.85 % (1329689)CaDiCaL version: 2.1.3
% 2.37/1.85 % (1329689)Termination reason: Instruction limit
% 2.37/1.85 % (1329689)Termination phase: Saturation
% 2.37/1.85 % (1329689)Time elapsed: 0.125 s
% 2.37/1.85 % (1329689)Peak memory usage: 90 MB
% 2.37/1.85 % (1329689)Instructions burned: 157 (million)
% 2.37/1.85 % (1329680)Instruction limit reached!
% 2.37/1.85 % (1329680)------------------------------
% 2.37/1.85 % (1329680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (1329680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (1329680)CaDiCaL version: 2.1.3
% 0.18/2.14 % (1329680)Termination reason: Instruction limit
% 0.18/2.14 % (1329680)Termination phase: Saturation
% 0.18/2.14 % (1329680)Time elapsed: 0.235 s
% 0.18/2.14 % (1329680)Peak memory usage: 92 MB
% 0.18/2.14 % (1329680)Instructions burned: 286 (million)
% 0.18/2.14 % (1329667)Refutation found. Thanks to Tanya!
% 0.18/2.14 % SZS status Theorem for theBenchmark
% 0.18/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.14 % (1329667)------------------------------
% 0.18/2.14 % (1329667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (1329667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (1329667)CaDiCaL version: 2.1.3
% 0.18/2.14 % (1329667)Termination reason: Refutation
% 0.18/2.14 % (1329667)Time elapsed: 0.105 s
% 0.18/2.14 % (1329667)Peak memory usage: 90 MB
% 0.18/2.14 % (1329667)Instructions burned: 97 (million)
% 0.18/2.14 % (1329667)------------------------------
% 0.18/2.14 % (1329667)------------------------------
% 0.18/2.14 % (1329637)Success in time 0.793 s
% 0.18/2.14 % Vampire exiting
%------------------------------------------------------------------------------