%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO526+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:52:51 AM UTC 2026
% Result : Theorem 13.38s 3.17s
% Output : Refutation 15.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 107 ( 28 unt; 13 def)
% Number of atoms : 249 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 269 ( 127 ~; 116 |; 13 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 14 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 72 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| s_e(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA2) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f93,axiom,
! [X0,X1,X2] :
( ~ s_m(X0,X1,X2)
| s_m(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_2) ).
fof(f98,axiom,
! [X0,X1,X2] :
( ~ s_m(X0,X1,X2)
| X2 = s(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
fof(f146,axiom,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(f194,axiom,
! [X0,X1,X2,X3] :
( ~ s_r(X0,X1,X2)
| ~ s_r(X3,X1,X2)
| ~ s_e(X0,X1,X3,X1)
| s_e(X0,X2,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12b) ).
fof(f195,conjecture,
! [X0,X1,X2,X3,X4] :
( ~ s_r(X0,X1,X2)
| ~ s_r(X3,X1,X4)
| ~ s_e(X0,X1,X3,X1)
| ~ s_e(X1,X2,X1,X4)
| s_e(X0,X2,X3,X4)
| X1 != midpoint(X2,X4)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
fof(f196,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ~ s_r(X0,X1,X2)
| ~ s_r(X3,X1,X4)
| ~ s_e(X0,X1,X3,X1)
| ~ s_e(X1,X2,X1,X4)
| s_e(X0,X2,X3,X4)
| X1 != midpoint(X2,X4)
| X2 = X4 ),
inference(negated_conjecture,[status(cth)],[f195]) ).
fof(f207,axiom,
! [X0,X1,X2] :
( ( ~ s_r(X0,X1,X2)
| s_e(X0,X2,X0,s(X1,X2)) )
& ( s_r(X0,X1,X2)
| ~ s_e(X0,X2,X0,s(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f212,plain,
? [X0,X1,X2,X3,X4] :
( s_r(X0,X1,X2)
& s_r(X3,X1,X4)
& s_e(X0,X1,X3,X1)
& s_e(X1,X2,X1,X4)
& ~ s_e(X0,X2,X3,X4)
& midpoint(X2,X4) = X1
& X2 != X4 ),
inference(ennf_transformation,[],[f196]) ).
fof(f213,plain,
( s_r(sK0,sK1,sK2)
& s_r(sK3,sK1,sK4)
& s_e(sK0,sK1,sK3,sK1)
& s_e(sK1,sK2,sK1,sK4)
& ~ s_e(sK0,sK2,sK3,sK4)
& sK1 = midpoint(sK2,sK4)
& sK2 != sK4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f212]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_m(X2,X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s(X1,X0) = X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f375,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f146]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( ~ s_r(X0,X1,X2)
| ~ s_r(X3,X1,X2)
| ~ s_e(X0,X1,X3,X1)
| s_e(X0,X2,X3,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f428,plain,
sK1 = midpoint(sK2,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f429,plain,
~ s_e(sK0,sK2,sK3,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f431,plain,
s_e(sK0,sK1,sK3,sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f432,plain,
s_r(sK3,sK1,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f433,plain,
s_r(sK0,sK1,sK2),
inference(cnf_transformation,[],[f213]) ).
fof(f480,plain,
! [X2,X0,X1] :
( s_r(X0,X1,X2)
| ~ s_e(X0,X2,X0,s(X1,X2)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f481,plain,
! [X2,X0,X1] :
( ~ s_r(X0,X1,X2)
| s_e(X0,X2,X0,s(X1,X2)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| s_e(X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f2]) ).
fof(f688,definition,
( spl36_2
<=> s_e(sK0,sK2,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f690,plain,
( ~ s_e(sK0,sK2,sK3,sK4)
| spl36_2 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,plain,
~ spl36_2,
inference(avatar_split_clause,[],[f429,f688]) ).
fof(f693,definition,
( spl36_3
<=> s_e(sK0,sK1,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f695,plain,
( s_e(sK0,sK1,sK3,sK1)
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f696,plain,
spl36_3,
inference(avatar_split_clause,[],[f431,f693]) ).
fof(f746,plain,
( ! [X0] :
( ~ s_r(sK0,sK1,X0)
| ~ s_r(sK3,sK1,X0)
| s_e(sK0,X0,sK3,X0) )
| ~ spl36_3 ),
inference(resolution,[],[f695,f426]) ).
fof(f773,plain,
( ! [X0,X1] :
( ~ s_e(X0,X1,sK0,sK2)
| ~ s_e(X0,X1,sK3,sK4) )
| spl36_2 ),
inference(resolution,[],[f690,f511]) ).
fof(f776,definition,
( spl36_4
<=> sK1 = midpoint(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f778,plain,
( sK1 = midpoint(sK2,sK4)
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f779,plain,
spl36_4,
inference(avatar_split_clause,[],[f428,f776]) ).
fof(f781,plain,
( s_m(sK2,sK1,sK4)
| ~ spl36_4 ),
inference(superposition,[],[f375,f778]) ).
fof(f789,definition,
( spl36_6
<=> s_r(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f791,plain,
( s_r(sK0,sK1,sK2)
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f792,plain,
spl36_6,
inference(avatar_split_clause,[],[f433,f789]) ).
fof(f806,plain,
( s_e(sK0,sK2,sK0,s(sK1,sK2))
| ~ spl36_6 ),
inference(resolution,[],[f791,f481]) ).
fof(f810,definition,
( spl36_7
<=> s_r(sK3,sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).
fof(f812,plain,
( s_r(sK3,sK1,sK4)
| ~ spl36_7 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f813,plain,
spl36_7,
inference(avatar_split_clause,[],[f432,f810]) ).
fof(f841,definition,
( spl36_10
<=> s_m(sK2,sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f843,plain,
( s_m(sK2,sK1,sK4)
| ~ spl36_10 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f844,plain,
( spl36_10
| ~ spl36_4 ),
inference(avatar_split_clause,[],[f781,f776,f841]) ).
fof(f845,plain,
( s_m(sK4,sK1,sK2)
| ~ spl36_10 ),
inference(resolution,[],[f843,f308]) ).
fof(f848,plain,
( sK4 = s(sK1,sK2)
| ~ spl36_10 ),
inference(resolution,[],[f843,f313]) ).
fof(f1437,definition,
( spl36_23
<=> ! [X0] :
( ~ s_r(sK0,sK1,X0)
| ~ s_r(sK3,sK1,X0)
| s_e(sK0,X0,sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl36_23])],[avatar_definition]) ).
fof(f1438,plain,
( ! [X0] :
( s_e(sK0,X0,sK3,X0)
| ~ s_r(sK3,sK1,X0)
| ~ s_r(sK0,sK1,X0) )
| ~ spl36_23 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1439,plain,
( spl36_23
| ~ spl36_3 ),
inference(avatar_split_clause,[],[f746,f693,f1437]) ).
fof(f1682,definition,
( spl36_34
<=> s_r(sK0,sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl36_34])],[avatar_definition]) ).
fof(f1683,plain,
( s_r(sK0,sK1,sK4)
| ~ spl36_34 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1684,plain,
( ~ s_r(sK0,sK1,sK4)
| spl36_34 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1868,definition,
( spl36_40
<=> ! [X0,X1] :
( ~ s_e(X0,X1,sK0,sK2)
| ~ s_e(X0,X1,sK3,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl36_40])],[avatar_definition]) ).
fof(f1869,plain,
( ! [X0,X1] :
( ~ s_e(X0,X1,sK3,sK4)
| ~ s_e(X0,X1,sK0,sK2) )
| ~ spl36_40 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1870,plain,
( spl36_40
| spl36_2 ),
inference(avatar_split_clause,[],[f773,f688,f1868]) ).
fof(f1972,definition,
( spl36_42
<=> s_m(sK4,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_42])],[avatar_definition]) ).
fof(f1974,plain,
( s_m(sK4,sK1,sK2)
| ~ spl36_42 ),
inference(avatar_component_clause,[],[f1972]) ).
fof(f1975,plain,
( spl36_42
| ~ spl36_10 ),
inference(avatar_split_clause,[],[f845,f841,f1972]) ).
fof(f1979,plain,
( sK2 = s(sK1,sK4)
| ~ spl36_42 ),
inference(resolution,[],[f1974,f313]) ).
fof(f2033,plain,
( ~ s_e(sK0,sK4,sK0,s(sK1,sK4))
| spl36_34 ),
inference(resolution,[],[f1684,f480]) ).
fof(f2035,plain,
( ~ s_e(sK0,sK4,sK0,sK2)
| spl36_34
| ~ spl36_42 ),
inference(forward_demodulation,[],[f2033,f1979]) ).
fof(f2037,definition,
( spl36_49
<=> s_e(sK0,sK4,sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_49])],[avatar_definition]) ).
fof(f2038,plain,
( s_e(sK0,sK4,sK0,sK2)
| ~ spl36_49 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2039,plain,
( ~ s_e(sK0,sK4,sK0,sK2)
| spl36_49 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2040,plain,
( ~ spl36_49
| spl36_34
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f2035,f1972,f1682,f2037]) ).
fof(f2305,plain,
( ~ s_e(sK0,sK4,sK0,sK2)
| ~ s_r(sK3,sK1,sK4)
| ~ s_r(sK0,sK1,sK4)
| ~ spl36_23
| ~ spl36_40 ),
inference(resolution,[],[f1869,f1438]) ).
fof(f2351,definition,
( spl36_64
<=> s_e(sK0,sK2,sK0,s(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl36_64])],[avatar_definition]) ).
fof(f2353,plain,
( s_e(sK0,sK2,sK0,s(sK1,sK2))
| ~ spl36_64 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2354,plain,
( spl36_64
| ~ spl36_6 ),
inference(avatar_split_clause,[],[f806,f789,f2351]) ).
fof(f2355,plain,
( s_e(sK0,sK2,sK0,sK4)
| ~ spl36_10
| ~ spl36_64 ),
inference(forward_demodulation,[],[f2353,f848]) ).
fof(f2357,definition,
( spl36_65
<=> s_e(sK0,sK2,sK0,sK4) ),
introduced(definition,[new_symbols(definition,[spl36_65])],[avatar_definition]) ).
fof(f2359,plain,
( s_e(sK0,sK2,sK0,sK4)
| ~ spl36_65 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2360,plain,
( spl36_65
| ~ spl36_10
| ~ spl36_64 ),
inference(avatar_split_clause,[],[f2355,f2351,f841,f2357]) ).
fof(f2364,plain,
( s_e(sK0,sK4,sK0,sK2)
| ~ spl36_65 ),
inference(resolution,[],[f2359,f215]) ).
fof(f2435,plain,
( $false
| spl36_49
| ~ spl36_65 ),
inference(forward_subsumption_resolution,[],[f2364,f2039]) ).
fof(f2436,plain,
( spl36_49
| ~ spl36_65 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2437,plain,
( ~ s_r(sK3,sK1,sK4)
| ~ s_r(sK0,sK1,sK4)
| ~ spl36_23
| ~ spl36_40
| ~ spl36_49 ),
inference(forward_subsumption_resolution,[],[f2305,f2038]) ).
fof(f2439,plain,
( ~ s_r(sK0,sK1,sK4)
| ~ spl36_7
| ~ spl36_23
| ~ spl36_40
| ~ spl36_49 ),
inference(forward_subsumption_resolution,[],[f2437,f812]) ).
fof(f2440,plain,
( $false
| ~ spl36_7
| ~ spl36_23
| ~ spl36_34
| ~ spl36_40
| ~ spl36_49 ),
inference(forward_subsumption_resolution,[],[f2439,f1683]) ).
fof(f2441,plain,
( ~ spl36_7
| ~ spl36_23
| ~ spl36_34
| ~ spl36_40
| ~ spl36_49 ),
inference(avatar_contradiction_clause,[],[f2440]) ).
cnf(s2,plain,
~ spl36_2,
inference(sat_conversion,[],[f691]) ).
cnf(s3,plain,
spl36_3,
inference(sat_conversion,[],[f696]) ).
cnf(s4,plain,
spl36_4,
inference(sat_conversion,[],[f779]) ).
cnf(s6,plain,
spl36_6,
inference(sat_conversion,[],[f792]) ).
cnf(s7,plain,
spl36_7,
inference(sat_conversion,[],[f813]) ).
cnf(s10,plain,
( ~ spl36_4
| spl36_10 ),
inference(sat_conversion,[],[f844]) ).
cnf(s23,plain,
( ~ spl36_3
| spl36_23 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s38,plain,
( spl36_2
| spl36_40 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s40,plain,
( ~ spl36_10
| spl36_42 ),
inference(sat_conversion,[],[f1975]) ).
cnf(s47,plain,
( spl36_34
| ~ spl36_42
| ~ spl36_49 ),
inference(sat_conversion,[],[f2040]) ).
cnf(s62,plain,
( ~ spl36_6
| spl36_64 ),
inference(sat_conversion,[],[f2354]) ).
cnf(s63,plain,
( ~ spl36_10
| ~ spl36_64
| spl36_65 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s64,plain,
( spl36_49
| ~ spl36_65 ),
inference(sat_conversion,[],[f2436]) ).
cnf(s65,plain,
( ~ spl36_7
| ~ spl36_23
| ~ spl36_34
| ~ spl36_40
| ~ spl36_49 ),
inference(sat_conversion,[],[f2441]) ).
cnf(s70,plain,
spl36_64,
inference(rat,[],[s62,s6]) ).
cnf(s75,plain,
spl36_10,
inference(rat,[],[s10,s4]) ).
cnf(s76,plain,
spl36_65,
inference(rat,[],[s63,s70,s75]) ).
cnf(s78,plain,
spl36_42,
inference(rat,[],[s40,s75]) ).
cnf(s79,plain,
spl36_49,
inference(rat,[],[s64,s76]) ).
cnf(s80,plain,
spl36_34,
inference(rat,[],[s47,s79,s78]) ).
cnf(s88,plain,
spl36_23,
inference(rat,[],[s23,s3]) ).
cnf(s93,plain,
~ spl36_40,
inference(rat,[],[s65,s79,s80,s7,s88]) ).
cnf(s94,plain,
spl36_2,
inference(rat,[],[s38,s93]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s2,s94]) ).
fof(f2442,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO526+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 08:28:25 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 13.38/3.17 % (2026822)Detected formulas, will run a generic FOF schedule.
% 13.38/3.17 % (2026840)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3551623746:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.38/3.17 % (2026841)dis-21_1_sil=8000:lcm=predicate:random_seed=3902148295: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)
% 13.38/3.17 % (2026839)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=694771345:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.38/3.17 % (2026836)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=3575468925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.38/3.17 % (2026838)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2245873505:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.38/3.17 % (2026837)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=3092697136:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.38/3.17 % (2026835)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=3255061607:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.38/3.17 % (2026840)Instruction limit reached!
% 13.38/3.17 % (2026840)------------------------------
% 13.38/3.17 % (2026840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026840)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026840)Termination reason: Instruction limit
% 13.38/3.17 % (2026840)Termination phase: Saturation
% 13.38/3.17 % (2026840)Time elapsed: 0.078 s
% 13.38/3.17 % (2026840)Peak memory usage: 90 MB
% 13.38/3.17 % (2026840)Instructions burned: 139 (million)
% 13.38/3.17 % (2026838)Instruction limit reached!
% 13.38/3.17 % (2026838)------------------------------
% 13.38/3.17 % (2026838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026838)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026838)Termination reason: Instruction limit
% 13.38/3.17 % (2026838)Termination phase: Saturation
% 13.38/3.17 % (2026838)Time elapsed: 0.116 s
% 13.38/3.17 % (2026838)Peak memory usage: 89 MB
% 13.38/3.17 % (2026838)Instructions burned: 109 (million)
% 13.38/3.17 % (2026839)Instruction limit reached!
% 13.38/3.17 % (2026839)------------------------------
% 13.38/3.17 % (2026839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026839)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026839)Termination reason: Instruction limit
% 13.38/3.17 % (2026839)Termination phase: Saturation
% 13.38/3.17 % (2026839)Time elapsed: 0.121 s
% 13.38/3.17 % (2026839)Peak memory usage: 88 MB
% 13.38/3.17 % (2026839)Instructions burned: 119 (million)
% 13.38/3.17 % (2026841)Instruction limit reached!
% 13.38/3.17 % (2026841)------------------------------
% 13.38/3.17 % (2026841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026841)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026841)Termination reason: Instruction limit
% 13.38/3.17 % (2026841)Termination phase: Saturation
% 13.38/3.17 % (2026841)Time elapsed: 0.131 s
% 13.38/3.17 % (2026841)Peak memory usage: 90 MB
% 13.38/3.17 % (2026841)Instructions burned: 129 (million)
% 13.38/3.17 % (2026853)lrs+10_1_sil=8000:sp=occurrence:random_seed=3010362668:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.38/3.17 % (2026855)lrs+1011_1_sil=32000:sp=occurrence:random_seed=141157150:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.38/3.17 % (2026853)Instruction limit reached!
% 13.38/3.17 % (2026853)------------------------------
% 13.38/3.17 % (2026853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026853)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026853)Termination reason: Instruction limit
% 13.38/3.17 % (2026853)Termination phase: Saturation
% 13.38/3.17 % (2026853)Time elapsed: 0.147 s
% 13.38/3.17 % (2026853)Peak memory usage: 91 MB
% 13.38/3.17 % (2026853)Instructions burned: 285 (million)
% 13.38/3.17 % (2026854)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1032235430:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.38/3.17 % (2026856)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3730095533:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.38/3.17 % (2026861)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=544449463:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.38/3.17 % (2026854)Instruction limit reached!
% 13.38/3.17 % (2026854)------------------------------
% 13.38/3.17 % (2026854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026854)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026854)Termination reason: Instruction limit
% 13.38/3.17 % (2026854)Termination phase: Saturation
% 13.38/3.17 % (2026854)Time elapsed: 0.148 s
% 13.38/3.17 % (2026854)Peak memory usage: 89 MB
% 13.38/3.17 % (2026854)Instructions burned: 157 (million)
% 13.38/3.17 % (2026855)Instruction limit reached!
% 13.38/3.17 % (2026855)------------------------------
% 13.38/3.17 % (2026855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026855)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026855)Termination reason: Instruction limit
% 13.38/3.17 % (2026855)Termination phase: Saturation
% 13.38/3.17 % (2026855)Time elapsed: 0.284 s
% 13.38/3.17 % (2026855)Peak memory usage: 91 MB
% 13.38/3.17 % (2026855)Instructions burned: 325 (million)
% 13.38/3.17 % (2026856)Instruction limit reached!
% 13.38/3.17 % (2026856)------------------------------
% 13.38/3.17 % (2026856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026856)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026856)Termination reason: Instruction limit
% 13.38/3.17 % (2026856)Termination phase: Saturation
% 13.38/3.17 % (2026856)Time elapsed: 0.213 s
% 13.38/3.17 % (2026856)Peak memory usage: 89 MB
% 13.38/3.17 % (2026856)Instructions burned: 248 (million)
% 13.38/3.17 % (2026861)Instruction limit reached!
% 13.38/3.17 % (2026861)------------------------------
% 13.38/3.17 % (2026861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026861)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026861)Termination reason: Instruction limit
% 13.38/3.17 % (2026861)Termination phase: Saturation
% 13.38/3.17 % (2026861)Time elapsed: 0.139 s
% 13.38/3.17 % (2026861)Peak memory usage: 89 MB
% 13.38/3.17 % (2026861)Instructions burned: 295 (million)
% 13.38/3.17 % (2026865)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3001500015:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.38/3.17 % (2026866)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4196925010:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.38/3.17 % (2026867)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=869328530:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.38/3.17 % (2026868)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2425036258:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 13.38/3.17 % (2026868)Instruction limit reached!
% 13.38/3.17 % (2026868)------------------------------
% 13.38/3.17 % (2026868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026868)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026868)Termination reason: Instruction limit
% 13.38/3.17 % (2026868)Termination phase: Saturation
% 13.38/3.17 % (2026868)Time elapsed: 0.051 s
% 13.38/3.17 % (2026868)Peak memory usage: 88 MB
% 13.38/3.17 % (2026868)Instructions burned: 116 (million)
% 13.38/3.17 % (2026866)Instruction limit reached!
% 13.38/3.17 % (2026866)------------------------------
% 13.38/3.17 % (2026866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026866)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026866)Termination reason: Instruction limit
% 13.38/3.17 % (2026866)Termination phase: Saturation
% 13.38/3.17 % (2026866)Time elapsed: 0.111 s
% 13.38/3.17 % (2026866)Peak memory usage: 90 MB
% 13.38/3.17 % (2026866)Instructions burned: 113 (million)
% 13.38/3.17 % (2026867)Instruction limit reached!
% 13.38/3.17 % (2026867)------------------------------
% 13.38/3.17 % (2026867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026867)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026867)Termination reason: Instruction limit
% 13.38/3.17 % (2026867)Termination phase: Saturation
% 13.38/3.17 % (2026867)Time elapsed: 0.117 s
% 13.38/3.17 % (2026867)Peak memory usage: 89 MB
% 13.38/3.17 % (2026867)Instructions burned: 128 (million)
% 13.38/3.17 % (2026873)lrs+10_1_sil=8000:sp=occurrence:random_seed=1293393166:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 13.38/3.17 % (2026875)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1565339933:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.38/3.17 % (2026874)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2883378050:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.38/3.17 % (2026837)First to succeed.
% 13.38/3.17 % (2026837)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2026822"
% 13.38/3.17 % (2026874)Instruction limit reached!
% 13.38/3.17 % (2026874)------------------------------
% 13.38/3.17 % (2026874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026874)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026874)Termination reason: Instruction limit
% 13.38/3.17 % (2026874)Termination phase: Saturation
% 13.38/3.17 % (2026874)Time elapsed: 0.434 s
% 13.38/3.17 % (2026874)Peak memory usage: 92 MB
% 13.38/3.17 % (2026874)Instructions burned: 437 (million)
% 13.38/3.17 % (2026835)Also succeeded, but the first one will report.
% 13.38/3.17 % (2026883)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2587559823:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 13.38/3.17 % (2026883)Instruction limit reached!
% 13.38/3.17 % (2026883)------------------------------
% 13.38/3.17 % (2026883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026883)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026883)Termination reason: Instruction limit
% 13.38/3.17 % (2026883)Termination phase: Saturation
% 13.38/3.17 % (2026883)Time elapsed: 0.101 s
% 13.38/3.17 % (2026883)Peak memory usage: 90 MB
% 13.38/3.17 % (2026883)Instructions burned: 136 (million)
% 13.38/3.17 % (2026873)Instruction limit reached!
% 13.38/3.17 % (2026873)------------------------------
% 13.38/3.17 % (2026873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.17 % (2026873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.17 % (2026873)CaDiCaL version: 2.1.3
% 13.38/3.17 % (2026873)Termination reason: Instruction limit
% 13.38/3.17 % (2026873)Termination phase: Saturation
% 13.38/3.17 % (2026873)Time elapsed: 0.864 s
% 13.38/3.17 % (2026873)Peak memory usage: 96 MB
% 13.38/3.17 % (2026873)Instructions burned: 907 (million)
% 13.38/3.17 % (2026837)Refutation found. Thanks to Tanya!
% 13.38/3.17 % SZS status Theorem for theBenchmark
% 13.38/3.17 % SZS output start Proof for theBenchmark
% See solution above
% 15.91/3.37 % (2026837)------------------------------
% 15.91/3.37 % (2026837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.37 % (2026837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.37 % (2026837)CaDiCaL version: 2.1.3
% 15.91/3.37 % (2026837)Termination reason: Refutation
% 15.91/3.37 % (2026837)Time elapsed: 1.515 s
% 15.91/3.37 % (2026837)Peak memory usage: 136 MB
% 15.91/3.37 % (2026837)Instructions burned: 1473 (million)
% 15.91/3.37 % (2026837)------------------------------
% 15.91/3.37 % (2026837)------------------------------
% 15.91/3.37 % (2026822)Success in time 2.153 s
% 15.91/3.37 % Vampire exiting
%------------------------------------------------------------------------------