%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU280+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:48:08 PM UTC 2026
% Result : Theorem 12.54s 2.95s
% Output : Refutation 14.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 6 unt; 9 def)
% Number of atoms : 305 ( 56 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 356 ( 135 ~; 143 |; 58 &)
% ( 15 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 72 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,axiom,
! [X0] :
( ! [X1,X2,X3] :
( ( X1 = X2
& ordinal(X2)
& X1 = X3
& ordinal(X3) )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& X3 = X2
& ordinal(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
fof(f208,conjecture,
! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( in(X2,X0)
& ordinal(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
fof(f209,negated_conjecture,
~ ! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( in(X2,X0)
& ordinal(X2) ) ),
inference(negated_conjecture,[status(cth)],[f208]) ).
fof(f375,plain,
! [X0] :
( ! [X1,X2,X3] :
( ( X1 = X2
& ordinal(X2)
& X1 = X3
& ordinal(X3) )
=> X2 = X3 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,X0)
& X5 = X6
& ordinal(X5) ) ) ),
inference(rectify,[],[f205]) ).
fof(f539,plain,
! [X0] :
( ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,X0)
& X5 = X6
& ordinal(X5) ) )
| ? [X1,X2,X3] :
( X2 != X3
& X1 = X2
& ordinal(X2)
& X1 = X3
& ordinal(X3) ) ),
inference(ennf_transformation,[],[f375]) ).
fof(f540,plain,
! [X0] :
( ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,X0)
& X5 = X6
& ordinal(X5) ) )
| ? [X1,X2,X3] :
( X2 != X3
& X1 = X2
& ordinal(X2)
& X1 = X3
& ordinal(X3) ) ),
inference(flattening,[],[f539]) ).
fof(f545,plain,
? [X0] :
! [X1] :
? [X2] :
( in(X2,X1)
<~> ( in(X2,X0)
& ordinal(X2) ) ),
inference(ennf_transformation,[],[f209]) ).
fof(f732,definition,
( ? [X1,X2,X3] :
( X2 != X3
& X1 = X2
& ordinal(X2)
& X1 = X3
& ordinal(X3) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f733,plain,
! [X0] :
( ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,X0)
& X5 = X6
& ordinal(X5) ) )
| sP1 ),
inference(definition_folding,[],[f540,f732]) ).
fof(f950,plain,
( ? [X1,X2,X3] :
( X2 != X3
& X1 = X2
& ordinal(X2)
& X1 = X3
& ordinal(X3) )
| ~ sP1 ),
inference(nnf_transformation,[],[f732]) ).
fof(f951,plain,
( ? [X0,X1,X2] :
( X1 != X2
& X0 = X1
& ordinal(X1)
& X0 = X2
& ordinal(X2) )
| ~ sP1 ),
inference(rectify,[],[f950]) ).
fof(f952,plain,
( ( sK130 != sK131
& sK129 = sK130
& ordinal(sK130)
& sK129 = sK131
& ordinal(sK131) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK129,sK130,sK131]),skolemize(X0,sK129),skolemize(X1,sK130),skolemize(X2,sK131)],[f951]) ).
fof(f953,plain,
! [X0] :
( ? [X4] :
! [X5] :
( ( in(X5,X4)
| ! [X6] :
( ~ in(X6,X0)
| X5 != X6
| ~ ordinal(X5) ) )
& ( ? [X6] :
( in(X6,X0)
& X5 = X6
& ordinal(X5) )
| ~ in(X5,X4) ) )
| sP1 ),
inference(nnf_transformation,[],[f733]) ).
fof(f954,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| X2 != X3
| ~ ordinal(X2) ) )
& ( ? [X4] :
( in(X4,X0)
& X2 = X4
& ordinal(X2) )
| ~ in(X2,X1) ) )
| sP1 ),
inference(rectify,[],[f953]) ).
fof(f955,plain,
! [X0] :
( ! [X2] :
( ( in(X2,sK132(X0))
| ! [X3] :
( ~ in(X3,X0)
| X2 != X3
| ~ ordinal(X2) ) )
& ( ( in(sK133(X0,X2),X0)
& sK133(X0,X2) = X2
& ordinal(X2) )
| ~ in(X2,sK132(X0)) ) )
| sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK132,sK133]),skolemize(X1,sK132(X0)),skolemize(X4,sK133(X0,X2))],[f954]) ).
fof(f966,plain,
? [X0] :
! [X1] :
? [X2] :
( ( ~ in(X2,X0)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,X0)
& ordinal(X2) )
| in(X2,X1) ) ),
inference(nnf_transformation,[],[f545]) ).
fof(f967,plain,
? [X0] :
! [X1] :
? [X2] :
( ( ~ in(X2,X0)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,X0)
& ordinal(X2) )
| in(X2,X1) ) ),
inference(flattening,[],[f966]) ).
fof(f968,plain,
! [X1] :
( ( ~ in(sK146(X1),sK145)
| ~ ordinal(sK146(X1))
| ~ in(sK146(X1),X1) )
& ( ( in(sK146(X1),sK145)
& ordinal(sK146(X1)) )
| in(sK146(X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK145,sK146]),skolemize(X0,sK145),skolemize(X2,sK146(X1))],[f967]) ).
fof(f1536,plain,
( sK129 = sK131
| ~ sP1 ),
inference(cnf_transformation,[],[f952]) ).
fof(f1538,plain,
( sK129 = sK130
| ~ sP1 ),
inference(cnf_transformation,[],[f952]) ).
fof(f1539,plain,
( sK130 != sK131
| ~ sP1 ),
inference(cnf_transformation,[],[f952]) ).
fof(f1540,plain,
! [X2,X0] :
( ordinal(X2)
| ~ in(X2,sK132(X0))
| sP1 ),
inference(cnf_transformation,[],[f955]) ).
fof(f1541,plain,
! [X2,X0] :
( sK133(X0,X2) = X2
| ~ in(X2,sK132(X0))
| sP1 ),
inference(cnf_transformation,[],[f955]) ).
fof(f1542,plain,
! [X2,X0] :
( in(sK133(X0,X2),X0)
| ~ in(X2,sK132(X0))
| sP1 ),
inference(cnf_transformation,[],[f955]) ).
fof(f1543,plain,
! [X2,X3,X0] :
( in(X2,sK132(X0))
| ~ in(X3,X0)
| X2 != X3
| ~ ordinal(X2)
| sP1 ),
inference(cnf_transformation,[],[f955]) ).
fof(f1563,plain,
! [X1] :
( in(sK146(X1),X1)
| ordinal(sK146(X1)) ),
inference(cnf_transformation,[],[f968]) ).
fof(f1564,plain,
! [X1] :
( in(sK146(X1),sK145)
| in(sK146(X1),X1) ),
inference(cnf_transformation,[],[f968]) ).
fof(f1565,plain,
! [X1] :
( ~ ordinal(sK146(X1))
| ~ in(sK146(X1),sK145)
| ~ in(sK146(X1),X1) ),
inference(cnf_transformation,[],[f968]) ).
fof(f2156,plain,
! [X3,X0] :
( in(X3,sK132(X0))
| ~ in(X3,X0)
| ~ ordinal(X3)
| sP1 ),
inference(equality_resolution,[],[f1543]) ).
fof(f2184,definition,
( spl172_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl172_1])],[avatar_definition]) ).
fof(f2187,definition,
( spl172_2
<=> ! [X2,X0] :
( ordinal(X2)
| ~ in(X2,sK132(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl172_2])],[avatar_definition]) ).
fof(f2188,plain,
( ! [X2,X0] :
( ~ in(X2,sK132(X0))
| ordinal(X2) )
| ~ spl172_2 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f2189,plain,
( spl172_1
| spl172_2 ),
inference(avatar_split_clause,[],[f1540,f2187,f2184]) ).
fof(f2191,definition,
( spl172_3
<=> ! [X2,X0] :
( sK133(X0,X2) = X2
| ~ in(X2,sK132(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl172_3])],[avatar_definition]) ).
fof(f2192,plain,
( ! [X2,X0] :
( ~ in(X2,sK132(X0))
| sK133(X0,X2) = X2 )
| ~ spl172_3 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2193,plain,
( spl172_1
| spl172_3 ),
inference(avatar_split_clause,[],[f1541,f2191,f2184]) ).
fof(f2195,definition,
( spl172_4
<=> ! [X2,X0] :
( in(sK133(X0,X2),X0)
| ~ in(X2,sK132(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl172_4])],[avatar_definition]) ).
fof(f2196,plain,
( ! [X2,X0] :
( in(sK133(X0,X2),X0)
| ~ in(X2,sK132(X0)) )
| ~ spl172_4 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f2197,plain,
( spl172_1
| spl172_4 ),
inference(avatar_split_clause,[],[f1542,f2195,f2184]) ).
fof(f2199,definition,
( spl172_5
<=> ! [X0,X3] :
( in(X3,sK132(X0))
| ~ ordinal(X3)
| ~ in(X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl172_5])],[avatar_definition]) ).
fof(f2200,plain,
( ! [X3,X0] :
( ~ ordinal(X3)
| in(X3,sK132(X0))
| ~ in(X3,X0) )
| ~ spl172_5 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2201,plain,
( spl172_1
| spl172_5 ),
inference(avatar_split_clause,[],[f2156,f2199,f2184]) ).
fof(f2208,definition,
( spl172_7
<=> sK129 = sK131 ),
introduced(definition,[new_symbols(definition,[spl172_7])],[avatar_definition]) ).
fof(f2209,plain,
( sK129 = sK131
| ~ spl172_7 ),
inference(avatar_component_clause,[],[f2208]) ).
fof(f2210,plain,
( ~ spl172_1
| spl172_7 ),
inference(avatar_split_clause,[],[f1536,f2208,f2184]) ).
fof(f2216,definition,
( spl172_9
<=> sK129 = sK130 ),
introduced(definition,[new_symbols(definition,[spl172_9])],[avatar_definition]) ).
fof(f2217,plain,
( sK129 = sK130
| ~ spl172_9 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f2218,plain,
( ~ spl172_1
| spl172_9 ),
inference(avatar_split_clause,[],[f1538,f2216,f2184]) ).
fof(f2220,definition,
( spl172_10
<=> sK130 = sK131 ),
introduced(definition,[new_symbols(definition,[spl172_10])],[avatar_definition]) ).
fof(f2221,plain,
( sK130 != sK131
| spl172_10 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f2222,plain,
( ~ spl172_1
| ~ spl172_10 ),
inference(avatar_split_clause,[],[f1539,f2220,f2184]) ).
fof(f2285,plain,
( ! [X0] :
( ordinal(sK146(sK132(X0)))
| ordinal(sK146(sK132(X0))) )
| ~ spl172_2 ),
inference(resolution,[],[f2188,f1563]) ).
fof(f2289,plain,
( ! [X0] : ordinal(sK146(sK132(X0)))
| ~ spl172_2 ),
inference(duplicate_literal_removal,[],[f2285]) ).
fof(f2299,plain,
( ! [X0] :
( ~ in(sK146(sK132(X0)),sK145)
| ~ in(sK146(sK132(X0)),sK132(X0)) )
| ~ spl172_2 ),
inference(resolution,[],[f2289,f1565]) ).
fof(f2301,plain,
( ! [X0,X1] :
( in(sK146(sK132(X0)),sK132(X1))
| ~ in(sK146(sK132(X0)),X1) )
| ~ spl172_2
| ~ spl172_5 ),
inference(resolution,[],[f2289,f2200]) ).
fof(f2550,plain,
( ! [X0] :
( in(sK146(sK132(X0)),sK145)
| sK146(sK132(X0)) = sK133(X0,sK146(sK132(X0))) )
| ~ spl172_3 ),
inference(resolution,[],[f2192,f1564]) ).
fof(f2554,plain,
( ! [X0,X1] :
( ~ in(sK146(sK132(X1)),X0)
| sK146(sK132(X1)) = sK133(X0,sK146(sK132(X1))) )
| ~ spl172_2
| ~ spl172_3
| ~ spl172_5 ),
inference(resolution,[],[f2192,f2301]) ).
fof(f2559,plain,
( ! [X0] :
( sK146(sK132(X0)) = sK133(sK145,sK146(sK132(X0)))
| sK146(sK132(X0)) = sK133(X0,sK146(sK132(X0))) )
| ~ spl172_2
| ~ spl172_3
| ~ spl172_5 ),
inference(resolution,[],[f2554,f2550]) ).
fof(f2574,plain,
( sK146(sK132(sK145)) != sK146(sK132(sK145))
| sK146(sK132(sK145)) = sK133(sK145,sK146(sK132(sK145)))
| ~ spl172_2
| ~ spl172_3
| ~ spl172_5 ),
inference(equality_factoring,[],[f2559]) ).
fof(f2575,plain,
( sK146(sK132(sK145)) = sK133(sK145,sK146(sK132(sK145)))
| ~ spl172_2
| ~ spl172_3
| ~ spl172_5 ),
inference(trivial_inequality_removal,[],[f2574]) ).
fof(f2578,plain,
( in(sK146(sK132(sK145)),sK145)
| ~ in(sK146(sK132(sK145)),sK132(sK145))
| ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(superposition,[],[f2196,f2575]) ).
fof(f2579,plain,
( ~ in(sK146(sK132(sK145)),sK132(sK145))
| ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(forward_subsumption_resolution,[],[f2578,f2299]) ).
fof(f2580,plain,
( ~ in(sK146(sK132(sK145)),sK145)
| ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(resolution,[],[f2579,f2301]) ).
fof(f2582,plain,
( in(sK146(sK132(sK145)),sK145)
| ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(resolution,[],[f2579,f1564]) ).
fof(f2583,plain,
( $false
| ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(forward_subsumption_resolution,[],[f2580,f2582]) ).
fof(f2584,plain,
( ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(avatar_contradiction_clause,[],[f2583]) ).
fof(f2738,plain,
( sK130 = sK131
| ~ spl172_7
| ~ spl172_9 ),
inference(superposition,[],[f2209,f2217]) ).
fof(f2742,plain,
( $false
| ~ spl172_7
| ~ spl172_9
| spl172_10 ),
inference(forward_subsumption_resolution,[],[f2738,f2221]) ).
fof(f2743,plain,
( ~ spl172_7
| ~ spl172_9
| spl172_10 ),
inference(avatar_contradiction_clause,[],[f2742]) ).
cnf(s1,plain,
( spl172_1
| spl172_2 ),
inference(sat_conversion,[],[f2189]) ).
cnf(s2,plain,
( spl172_1
| spl172_3 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s3,plain,
( spl172_1
| spl172_4 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s4,plain,
( spl172_1
| spl172_5 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s6,plain,
( ~ spl172_1
| spl172_7 ),
inference(sat_conversion,[],[f2210]) ).
cnf(s8,plain,
( ~ spl172_1
| spl172_9 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s9,plain,
( ~ spl172_1
| ~ spl172_10 ),
inference(sat_conversion,[],[f2222]) ).
cnf(s14,plain,
( ~ spl172_2
| ~ spl172_3
| ~ spl172_4
| ~ spl172_5 ),
inference(sat_conversion,[],[f2584]) ).
cnf(s21,plain,
( ~ spl172_7
| ~ spl172_9
| spl172_10 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s22,plain,
spl172_1,
inference(rat,[],[s14,s1,s2,s3,s4]) ).
cnf(s23,plain,
~ spl172_10,
inference(rat,[],[s9,s22]) ).
cnf(s24,plain,
spl172_9,
inference(rat,[],[s8,s22]) ).
cnf(s26,plain,
spl172_7,
inference(rat,[],[s6,s22]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s21,s23,s24,s26]) ).
fof(f2744,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU280+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 28 04:28:18 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.54/2.95 % (3658706)Detected formulas, will run a generic FOF schedule.
% 12.54/2.95 % (3658718)dis-21_1_sil=8000:lcm=predicate:random_seed=2968750947: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)
% 12.54/2.95 % (3658713)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=1123193659:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.54/2.95 % (3658714)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=1492068157:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.54/2.95 % (3658712)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=1784801993:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.54/2.95 % (3658715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1173471041:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.54/2.95 % (3658718)Instruction limit reached!
% 12.54/2.95 % (3658718)------------------------------
% 12.54/2.95 % (3658718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658718)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658718)Termination reason: Instruction limit
% 12.54/2.95 % (3658718)Termination phase: Saturation
% 12.54/2.95 % (3658718)Time elapsed: 0.056 s
% 12.54/2.95 % (3658718)Peak memory usage: 89 MB
% 12.54/2.95 % (3658718)Instructions burned: 131 (million)
% 12.54/2.95 % (3658716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1074168301:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.54/2.95 % (3658717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2017361739:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.54/2.95 % (3658715)Instruction limit reached!
% 12.54/2.95 % (3658715)------------------------------
% 12.54/2.95 % (3658715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658715)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658715)Termination reason: Instruction limit
% 12.54/2.95 % (3658715)Termination phase: Saturation
% 12.54/2.95 % (3658715)Time elapsed: 0.106 s
% 12.54/2.95 % (3658715)Peak memory usage: 90 MB
% 12.54/2.95 % (3658715)Instructions burned: 109 (million)
% 12.54/2.95 % (3658716)Instruction limit reached!
% 12.54/2.95 % (3658716)------------------------------
% 12.54/2.95 % (3658716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658716)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658716)Termination reason: Instruction limit
% 12.54/2.95 % (3658716)Termination phase: Saturation
% 12.54/2.95 % (3658716)Time elapsed: 0.125 s
% 12.54/2.95 % (3658716)Peak memory usage: 89 MB
% 12.54/2.95 % (3658716)Instructions burned: 119 (million)
% 12.54/2.95 % (3658717)Instruction limit reached!
% 12.54/2.95 % (3658717)------------------------------
% 12.54/2.95 % (3658717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658717)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658717)Termination reason: Instruction limit
% 12.54/2.95 % (3658717)Termination phase: Saturation
% 12.54/2.95 % (3658717)Time elapsed: 0.149 s
% 12.54/2.95 % (3658717)Peak memory usage: 90 MB
% 12.54/2.95 % (3658717)Instructions burned: 139 (million)
% 12.54/2.95 % (3658725)lrs+10_1_sil=8000:sp=occurrence:random_seed=1484634643:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.54/2.95 % (3658728)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3462679837:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.54/2.95 % (3658728)Refutation not found, incomplete strategy
% 12.54/2.95 % (3658728)------------------------------
% 12.54/2.95 % (3658728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658728)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658728)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.95 % (3658728)Time elapsed: 0.005 s
% 12.54/2.95 % (3658728)Peak memory usage: 89 MB
% 12.54/2.95 % (3658728)Instructions burned: 6 (million)
% 12.54/2.95 % (3658729)lrs+1011_1_sil=32000:sp=occurrence:random_seed=540043617:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.54/2.95 % (3658730)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=1567605308:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.54/2.95 % (3658728)------------------------------
% 12.54/2.95 % (3658728)------------------------------
% 12.54/2.95 % (3658725)Instruction limit reached!
% 12.54/2.95 % (3658725)------------------------------
% 12.54/2.95 % (3658725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658725)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658725)Termination reason: Instruction limit
% 12.54/2.95 % (3658725)Termination phase: Saturation
% 12.54/2.95 % (3658725)Time elapsed: 0.297 s
% 12.54/2.95 % (3658725)Peak memory usage: 94 MB
% 12.54/2.95 % (3658725)Instructions burned: 285 (million)
% 12.54/2.95 % (3658730)Instruction limit reached!
% 12.54/2.95 % (3658730)------------------------------
% 12.54/2.95 % (3658730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658730)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658730)Termination reason: Instruction limit
% 12.54/2.95 % (3658730)Termination phase: Saturation
% 12.54/2.95 % (3658730)Time elapsed: 0.240 s
% 12.54/2.95 % (3658730)Peak memory usage: 94 MB
% 12.54/2.95 % (3658730)Instructions burned: 249 (million)
% 12.54/2.95 % (3658735)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1807176346:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.54/2.95 % (3658729)Instruction limit reached!
% 12.54/2.95 % (3658729)------------------------------
% 12.54/2.95 % (3658729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658729)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658729)Termination reason: Instruction limit
% 12.54/2.95 % (3658729)Termination phase: Saturation
% 12.54/2.95 % (3658729)Time elapsed: 0.345 s
% 12.54/2.95 % (3658729)Peak memory usage: 94 MB
% 12.54/2.95 % (3658729)Instructions burned: 325 (million)
% 12.54/2.95 % (3658736)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1047484094:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.54/2.95 % (3658737)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1277975533:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.54/2.95 % (3658737)Instruction limit reached!
% 12.54/2.95 % (3658737)------------------------------
% 12.54/2.95 % (3658737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658737)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658737)Termination reason: Instruction limit
% 12.54/2.95 % (3658737)Termination phase: Saturation
% 12.54/2.95 % (3658737)Time elapsed: 0.061 s
% 12.54/2.95 % (3658737)Peak memory usage: 90 MB
% 12.54/2.95 % (3658737)Instructions burned: 114 (million)
% 12.54/2.95 % (3658739)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=698661729:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 12.54/2.95 % (3658735)Instruction limit reached!
% 12.54/2.95 % (3658735)------------------------------
% 12.54/2.95 % (3658735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658735)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658735)Termination reason: Instruction limit
% 12.54/2.95 % (3658735)Termination phase: Saturation
% 12.54/2.95 % (3658735)Time elapsed: 0.308 s
% 12.54/2.95 % (3658735)Peak memory usage: 91 MB
% 12.54/2.95 % (3658735)Instructions burned: 295 (million)
% 12.54/2.95 % (3658739)Instruction limit reached!
% 12.54/2.95 % (3658739)------------------------------
% 12.54/2.95 % (3658739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658739)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658739)Termination reason: Instruction limit
% 12.54/2.95 % (3658739)Termination phase: Saturation
% 12.54/2.95 % (3658739)Time elapsed: 0.116 s
% 12.54/2.95 % (3658739)Peak memory usage: 90 MB
% 12.54/2.95 % (3658739)Instructions burned: 128 (million)
% 12.54/2.95 % (3658742)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2643724234:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 12.54/2.95 % (3658713)First to succeed.
% 12.54/2.95 % (3658713)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3658706"
% 12.54/2.95 % (3658744)lrs+10_1_sil=8000:sp=occurrence:random_seed=2502304469:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 12.54/2.95 % (3658742)Instruction limit reached!
% 12.54/2.95 % (3658742)------------------------------
% 12.54/2.95 % (3658742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.95 % (3658742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.95 % (3658742)CaDiCaL version: 2.1.3
% 12.54/2.95 % (3658742)Termination reason: Instruction limit
% 12.54/2.95 % (3658742)Termination phase: Saturation
% 12.54/2.95 % (3658742)Time elapsed: 0.112 s
% 12.54/2.95 % (3658742)Peak memory usage: 89 MB
% 12.54/2.95 % (3658742)Instructions burned: 114 (million)
% 12.54/2.95 % (3658712)Also succeeded, but the first one will report.
% 12.54/2.95 % (3658745)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2812664070:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 12.54/2.95 % (3658748)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1551199171:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 12.54/2.95 % (3658713)Refutation found. Thanks to Tanya!
% 12.54/2.95 % SZS status Theorem for theBenchmark
% 12.54/2.95 % SZS output start Proof for theBenchmark
% See solution above
% 14.42/3.19 % (3658713)------------------------------
% 14.42/3.19 % (3658713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.19 % (3658713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.19 % (3658713)CaDiCaL version: 2.1.3
% 14.42/3.19 % (3658713)Termination reason: Refutation
% 14.42/3.19 % (3658713)Time elapsed: 1.321 s
% 14.42/3.19 % (3658713)Peak memory usage: 140 MB
% 14.42/3.19 % (3658713)Instructions burned: 1380 (million)
% 14.42/3.19 % (3658713)------------------------------
% 14.42/3.19 % (3658713)------------------------------
% 14.42/3.19 % (3658706)Success in time 1.96 s
% 14.42/3.19 % Vampire exiting
%------------------------------------------------------------------------------