%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:41:57 AM UTC 2026
% Result : Theorem 4.79s 1.57s
% Output : Refutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 85 ( 24 unt; 5 def)
% Number of atoms : 282 ( 77 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 307 ( 110 ~; 117 |; 65 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 4 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 132 ( 0 sgn 119 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( happens(X0,X1)
& initiates(X0,X2,X1)
& less(n0,X4)
& trajectory(X2,X1,X3,X4)
& ~ stoppedIn(X1,X2,plus(X1,X4)) )
=> holdsAt(X3,plus(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_holding) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = overflow
& X1 = waterLevel(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( ( holdsAt(waterLevel(X0),X1)
& X2 = plus(X0,X3) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,conjecture,
holdsAt(waterLevel(n1),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_1) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f57,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 ) ) ),
inference(rectify,[],[f13]) ).
fof(f58,plain,
~ holdsAt(waterLevel(n1),n1),
inference(flattening,[],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) )
| ~ stoppedIn(X0,X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(flattening,[],[f64]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f87,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f88,definition,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
<=> ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f89,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1) ) ),
inference(definition_folding,[],[f57,f88,f87]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
& less(X0,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f63]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f101]) ).
fof(f108,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(flattening,[],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f112,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(sK3(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(X0,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ trajectory(X2,X1,X3,X4)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f157,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f174,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f186,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f196,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f197,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f199,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f201,plain,
! [X0] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f221,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f227,plain,
~ holdsAt(waterLevel(n1),n1),
inference(cnf_transformation,[],[f58]) ).
fof(f232,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f157]) ).
fof(f233,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f232]) ).
fof(f242,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f174]) ).
fof(f243,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f242]) ).
fof(f245,plain,
! [X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
inference(equality_resolution,[],[f175]) ).
fof(f247,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f197]) ).
fof(f298,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
inference(resolution,[],[f245,f221]) ).
fof(f405,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(superposition,[],[f298,f186]) ).
fof(f412,definition,
( spl11_2
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f413,plain,
( ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f430,plain,
! [X0] :
( n0 = X0
| less(X0,n0)
| ~ less(X0,n1) ),
inference(resolution,[],[f196,f200]) ).
fof(f439,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f430,f199]) ).
fof(f1421,plain,
! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0)
| ~ less(n0,n1)
| holdsAt(waterLevel(n1),plus(n0,n1))
| stoppedIn(n0,filling,plus(n0,n1)) ),
inference(resolution,[],[f405,f128]) ).
fof(f1422,plain,
! [X0] :
( holdsAt(waterLevel(n1),n1)
| ~ happens(X0,n0)
| ~ initiates(X0,filling,n0)
| ~ less(n0,n1)
| stoppedIn(n0,filling,plus(n0,n1)) ),
inference(forward_demodulation,[],[f1421,f186]) ).
fof(f1423,plain,
! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0)
| ~ less(n0,n1)
| stoppedIn(n0,filling,plus(n0,n1)) ),
inference(forward_subsumption_resolution,[],[f1422,f227]) ).
fof(f1424,plain,
! [X0] :
( stoppedIn(n0,filling,n1)
| ~ happens(X0,n0)
| ~ initiates(X0,filling,n0)
| ~ less(n0,n1) ),
inference(forward_demodulation,[],[f1423,f186]) ).
fof(f1426,definition,
( spl11_140
<=> less(n0,n1) ),
introduced(definition,[new_symbols(definition,[spl11_140])],[avatar_definition]) ).
fof(f1428,plain,
( ~ less(n0,n1)
| spl11_140 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1430,definition,
( spl11_141
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl11_141])],[avatar_definition]) ).
fof(f1432,plain,
( stoppedIn(n0,filling,n1)
| ~ spl11_141 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1433,plain,
( ~ spl11_140
| spl11_2
| spl11_141 ),
inference(avatar_split_clause,[],[f1424,f1430,f412,f1426]) ).
fof(f1654,plain,
( ~ initiates(tapOn,filling,n0)
| ~ spl11_2 ),
inference(resolution,[],[f413,f243]) ).
fof(f1656,plain,
( $false
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f1654,f233]) ).
fof(f1657,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1659,plain,
( ~ less_or_equal(n0,n0)
| spl11_140 ),
inference(resolution,[],[f1428,f201]) ).
fof(f1662,plain,
( $false
| spl11_140 ),
inference(forward_subsumption_resolution,[],[f1659,f247]) ).
fof(f1663,plain,
spl11_140,
inference(avatar_contradiction_clause,[],[f1662]) ).
fof(f1677,plain,
( less(n0,sK3(n0,filling,n1))
| ~ spl11_141 ),
inference(resolution,[],[f1432,f126]) ).
fof(f1678,plain,
( less(sK3(n0,filling,n1),n1)
| ~ spl11_141 ),
inference(resolution,[],[f1432,f125]) ).
fof(f1688,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl11_141 ),
inference(resolution,[],[f1678,f439]) ).
fof(f1696,plain,
( less(n0,n0)
| ~ spl11_141 ),
inference(superposition,[],[f1677,f1688]) ).
fof(f1697,plain,
( $false
| ~ spl11_141 ),
inference(forward_subsumption_resolution,[],[f1696,f199]) ).
fof(f1698,plain,
~ spl11_141,
inference(avatar_contradiction_clause,[],[f1697]) ).
cnf(s81,plain,
( spl11_2
| ~ spl11_140
| spl11_141 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s100,plain,
~ spl11_2,
inference(sat_conversion,[],[f1657]) ).
cnf(s101,plain,
spl11_140,
inference(sat_conversion,[],[f1663]) ).
cnf(s103,plain,
~ spl11_141,
inference(sat_conversion,[],[f1698]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s81,s103,s101,s100]) ).
fof(f1699,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n026.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 22:08:42 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running first-order theorem proving
% 0.11/0.24 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
% 4.79/1.57 % (140308)Detected formulas, will run a generic FOF schedule.
% 4.79/1.57 % (140340)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=4195588975:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.79/1.57 % (140343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2456879689:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.79/1.57 % (140342)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=3635614231:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.79/1.57 % (140341)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=2046704926:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.79/1.57 % (140346)dis-21_1_sil=8000:lcm=predicate:random_seed=3432367375: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)
% 4.79/1.57 % (140344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3489491953:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.79/1.57 % (140343)Refutation not found, incomplete strategy
% 4.79/1.57 % (140343)------------------------------
% 4.79/1.57 % (140343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.57 % (140343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.57 % (140343)CaDiCaL version: 2.1.3
% 4.79/1.57 % (140343)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.57 % (140343)Time elapsed: 0.002 s
% 4.79/1.57 % (140343)Peak memory usage: 88 MB
% 4.79/1.57 % (140344)Refutation not found, incomplete strategy
% 4.79/1.57 % (140344)------------------------------
% 4.79/1.57 % (140344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.57 % (140344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.57 % (140344)CaDiCaL version: 2.1.3
% 4.79/1.57 % (140344)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.57 % (140344)Time elapsed: 0.003 s
% 4.79/1.57 % (140344)Peak memory usage: 87 MB
% 4.79/1.57 % (140344)Instructions burned: 1 (million)
% 4.79/1.57 % (140345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1352076265:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.79/1.57 % (140345)First to succeed.
% 4.79/1.57 % (140345)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-140308"
% 4.79/1.57 % (140346)Instruction limit reached!
% 4.79/1.57 % (140346)------------------------------
% 4.79/1.57 % (140346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.57 % (140346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.57 % (140346)CaDiCaL version: 2.1.3
% 4.79/1.57 % (140346)Termination reason: Instruction limit
% 4.79/1.57 % (140346)Termination phase: Saturation
% 4.79/1.57 % (140346)Time elapsed: 0.124 s
% 4.79/1.57 % (140346)Peak memory usage: 89 MB
% 4.79/1.57 % (140346)Instructions burned: 130 (million)
% 4.79/1.57 % (140343)------------------------------
% 4.79/1.57 % (140343)------------------------------
% 4.79/1.57 % (140356)lrs+10_1_sil=8000:sp=occurrence:random_seed=342088475:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.79/1.57 % (140344)------------------------------
% 4.79/1.57 % (140344)------------------------------
% 4.79/1.57 % (140345)Refutation found. Thanks to Tanya!
% 4.79/1.57 % SZS status Theorem for theBenchmark
% 4.79/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.82/1.78 % (140345)------------------------------
% 5.82/1.78 % (140345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.78 % (140345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.78 % (140345)CaDiCaL version: 2.1.3
% 5.82/1.78 % (140345)Termination reason: Refutation
% 5.82/1.78 % (140345)Time elapsed: 0.053 s
% 5.82/1.78 % (140345)Peak memory usage: 90 MB
% 5.82/1.78 % (140345)Instructions burned: 42 (million)
% 5.82/1.78 % (140345)------------------------------
% 5.82/1.78 % (140345)------------------------------
% 5.82/1.78 % (140308)Success in time 0.702 s
% 5.82/1.78 % Vampire exiting
%------------------------------------------------------------------------------