%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC302-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:03:22 PM UTC 2026
% Result : Unsatisfiable 11.54s 2.12s
% Output : Refutation 12.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 24
% Syntax : Number of formulae : 99 ( 36 unt; 6 def)
% Number of atoms : 281 ( 41 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 365 ( 183 ~; 182 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f117,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f159,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f196,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(X5)
| ~ ssList(X5)
| leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f214,plain,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
lt(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f218,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f214,f205]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f196]) ).
fof(f243,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f244,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f243]) ).
fof(f245,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f246,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF2 = app(sF1,sk8),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f248,plain,
app(sF1,sk8) = sF2,
inference(reorient_equations,[],[f247]) ).
fof(f249,definition,
sF3 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f250,plain,
cons(sk6,nil) = sF3,
inference(reorient_equations,[],[f249]) ).
fof(f251,definition,
sF4 = app(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f252,plain,
app(sF2,sF3) = sF4,
inference(reorient_equations,[],[f251]) ).
fof(f253,definition,
sF5 = app(sF4,sk9),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f254,plain,
app(sF4,sk9) = sF5,
inference(reorient_equations,[],[f253]) ).
fof(f255,plain,
sk3 = sF5,
inference(definition_folding,[],[f218,f254,f252,f250,f248,f246,f244]) ).
fof(f262,plain,
sk3 = app(sF4,sk9),
inference(forward_demodulation,[],[f254,f255]) ).
fof(f263,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f246]) ).
fof(f264,plain,
( ssList(sF2)
| ~ ssList(sF1)
| ~ ssList(sk8) ),
inference(superposition,[],[f85,f248]) ).
fof(f267,plain,
( ~ ssList(sF1)
| ssList(sF2) ),
inference(forward_subsumption_resolution,[],[f264,f211]) ).
fof(f268,plain,
( ~ ssList(sF0)
| ssList(sF1) ),
inference(forward_subsumption_resolution,[],[f263,f210]) ).
fof(f295,plain,
! [X0] :
( app(sk7,app(sF0,X0)) = app(sF1,X0)
| ~ ssList(sF0)
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(superposition,[],[f161,f246]) ).
fof(f297,plain,
! [X0] :
( app(sF2,app(sF3,X0)) = app(sF4,X0)
| ~ ssList(sF3)
| ~ ssList(sF2)
| ~ ssList(X0) ),
inference(superposition,[],[f161,f252]) ).
fof(f313,plain,
! [X0] :
( app(sk7,app(sF0,X0)) = app(sF1,X0)
| ~ ssList(sF0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f295,f210]) ).
fof(f333,plain,
( ~ lt(sk5,sk6)
| ~ ssItem(sk5)
| ~ ssItem(sk6) ),
inference(resolution,[],[f117,f215]) ).
fof(f334,plain,
( ~ lt(sk5,sk6)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[],[f333,f208]) ).
fof(f335,plain,
~ lt(sk5,sk6),
inference(forward_subsumption_resolution,[],[f334,f209]) ).
fof(f345,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f244]) ).
fof(f346,plain,
( ssList(sF3)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f250]) ).
fof(f347,plain,
( ssList(sF3)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[],[f346,f8]) ).
fof(f348,plain,
( ssList(sF0)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[],[f345,f8]) ).
fof(f349,plain,
ssList(sF3),
inference(forward_subsumption_resolution,[],[f347,f209]) ).
fof(f350,plain,
ssList(sF0),
inference(forward_subsumption_resolution,[],[f348,f208]) ).
fof(f351,plain,
! [X0] :
( app(sF0,X0) = cons(sk5,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) ),
inference(superposition,[],[f126,f244]) ).
fof(f352,plain,
! [X0] :
( app(sF3,X0) = cons(sk6,X0)
| ~ ssList(X0)
| ~ ssItem(sk6) ),
inference(superposition,[],[f126,f250]) ).
fof(f361,plain,
! [X0] :
( app(sF3,X0) = cons(sk6,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f352,f209]) ).
fof(f362,plain,
! [X0] :
( app(sF0,X0) = cons(sk5,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f351,f208]) ).
fof(f364,plain,
ssList(sF1),
inference(resolution,[],[f268,f350]) ).
fof(f401,plain,
! [X0] :
( app(sF1,X0) = app(sk7,cons(sk5,X0))
| ~ ssList(sF0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f313,f362]) ).
fof(f404,plain,
! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(sF0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f85,f362]) ).
fof(f406,plain,
! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(sF0)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f409,plain,
! [X0] :
( app(sF1,X0) = app(sk7,cons(sk5,X0))
| ~ ssList(sF0)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f411,plain,
! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f406,f350]) ).
fof(f414,plain,
! [X0] :
( app(sF1,X0) = app(sk7,cons(sk5,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f409,f350]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssItem(X1)
| ~ ssItem(sk5)
| ~ totalorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1)
| ~ ssList(X0) ),
inference(superposition,[],[f239,f414]) ).
fof(f434,plain,
! [X0] :
( ssList(app(sF1,X0))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f85,f414]) ).
fof(f435,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssItem(X1)
| ~ ssItem(sk5)
| ~ totalorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1) ),
inference(duplicate_literal_removal,[],[f431]) ).
fof(f436,plain,
! [X0] :
( ssList(app(sF1,X0))
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f434,f411]) ).
fof(f439,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sk5)
| ~ totalorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1) ),
inference(forward_subsumption_resolution,[],[f435,f210]) ).
fof(f441,plain,
! [X0] :
( ssList(app(sF1,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f436,f210]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1) ),
inference(forward_subsumption_resolution,[],[f439,f208]) ).
fof(f552,plain,
ssList(sF2),
inference(resolution,[],[f364,f267]) ).
fof(f563,plain,
! [X0] :
( app(sF4,X0) = app(sF2,cons(sk6,X0))
| ~ ssList(sF3)
| ~ ssList(sF2)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f297,f361]) ).
fof(f570,plain,
! [X0] :
( app(sF4,X0) = app(sF2,cons(sk6,X0))
| ~ ssList(sF3)
| ~ ssList(sF2)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f563]) ).
fof(f574,plain,
! [X0] :
( app(sF4,X0) = app(sF2,cons(sk6,X0))
| ~ ssList(sF2)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f570,f349]) ).
fof(f578,plain,
! [X0] :
( app(sF4,X0) = app(sF2,cons(sk6,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f574,f552]) ).
fof(f1360,plain,
! [X0] :
( ~ leq(X0,sk6)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| lt(X0,sk5) ),
inference(resolution,[],[f159,f215]) ).
fof(f1361,plain,
! [X0] :
( ~ leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| lt(X0,sk5) ),
inference(forward_subsumption_resolution,[],[f1360,f208]) ).
fof(f1362,plain,
! [X0] :
( ~ leq(X0,sk6)
| ~ ssItem(X0)
| lt(X0,sk5) ),
inference(forward_subsumption_resolution,[],[f1361,f209]) ).
fof(f1375,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1)
| ~ ssList(X0) ),
inference(superposition,[],[f444,f414]) ).
fof(f1381,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1) ),
inference(duplicate_literal_removal,[],[f1375]) ).
fof(f2707,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1)
| ~ ssList(app(sF1,X0))
| ~ ssList(cons(X1,X2)) ),
inference(resolution,[],[f1381,f85]) ).
fof(f2733,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(sF1,X0),cons(X1,X2)))
| ~ ssList(X2)
| leq(sk5,X1)
| ~ ssList(app(sF1,X0)) ),
inference(forward_subsumption_resolution,[],[f2707,f86]) ).
fof(f2743,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF1,X0),cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(sk5,X1) ),
inference(forward_subsumption_resolution,[],[f2733,f441]) ).
fof(f2748,plain,
! [X0,X1] :
( ~ totalorderedP(app(sF2,cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| leq(sk5,X0) ),
inference(superposition,[],[f2743,f248]) ).
fof(f2767,plain,
! [X0,X1] :
( ~ totalorderedP(app(sF2,cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| leq(sk5,X0) ),
inference(forward_subsumption_resolution,[],[f2748,f211]) ).
fof(f2778,plain,
! [X0] :
( ~ totalorderedP(app(sF4,X0))
| ~ ssItem(sk6)
| ~ ssList(X0)
| leq(sk5,sk6)
| ~ ssList(X0) ),
inference(superposition,[],[f2767,f578]) ).
fof(f2779,plain,
! [X0] :
( ~ totalorderedP(app(sF4,X0))
| ~ ssItem(sk6)
| ~ ssList(X0)
| leq(sk5,sk6) ),
inference(duplicate_literal_removal,[],[f2778]) ).
fof(f2780,plain,
! [X0] :
( ~ totalorderedP(app(sF4,X0))
| ~ ssList(X0)
| leq(sk5,sk6) ),
inference(forward_subsumption_resolution,[],[f2779,f209]) ).
fof(f2823,plain,
( ~ totalorderedP(sk3)
| ~ ssList(sk9)
| leq(sk5,sk6) ),
inference(superposition,[],[f2780,f262]) ).
fof(f2829,plain,
( ~ ssList(sk9)
| leq(sk5,sk6) ),
inference(forward_subsumption_resolution,[],[f2823,f207]) ).
fof(f2830,plain,
leq(sk5,sk6),
inference(forward_subsumption_resolution,[],[f2829,f212]) ).
fof(f2831,plain,
( ~ ssItem(sk5)
| lt(sk5,sk5) ),
inference(resolution,[],[f2830,f1362]) ).
fof(f2832,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5)
| lt(sk5,sk6)
| sk5 = sk6 ),
inference(resolution,[],[f2830,f128]) ).
fof(f2834,plain,
( ~ ssItem(sk5)
| lt(sk5,sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f2832,f209]) ).
fof(f2835,plain,
lt(sk5,sk5),
inference(forward_subsumption_resolution,[],[f2831,f208]) ).
fof(f2836,plain,
( lt(sk5,sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f2834,f208]) ).
fof(f2837,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f2836,f335]) ).
fof(f2842,plain,
~ lt(sk5,sk5),
inference(superposition,[],[f335,f2837]) ).
fof(f2855,plain,
$false,
inference(forward_subsumption_resolution,[],[f2842,f2835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC302-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 08:54:21 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 8.83/1.83 % (3410913)Input is clausal, will run a generic CNF schedule.
% 8.83/1.83 % (3410923)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1906366289:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.83/1.83 % (3410919)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1473946763:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.83/1.83 % (3410921)lrs+10_1_sil=8000:sp=occurrence:random_seed=1948589125:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.83/1.83 % (3410918)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=1247905305:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.83/1.83 % (3410922)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=916860858:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.83/1.83 % (3410924)dis-21_1_sil=8000:lcm=predicate:random_seed=1958182395:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.83/1.83 % (3410920)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2028812533:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.83/1.83 % (3410923)Instruction limit reached!
% 8.83/1.83 % (3410923)------------------------------
% 8.83/1.83 % (3410923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/1.83 % (3410923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.83 % (3410923)CaDiCaL version: 2.1.3
% 8.83/1.83 % (3410923)Termination reason: Instruction limit
% 8.83/1.83 % (3410923)Termination phase: Saturation
% 8.83/1.83 % (3410923)Time elapsed: 0.075 s
% 8.83/1.83 % (3410923)Peak memory usage: 90 MB
% 8.83/1.83 % (3410923)Instructions burned: 181 (million)
% 8.83/1.83 % (3410924)Instruction limit reached!
% 8.83/1.83 % (3410924)------------------------------
% 8.83/1.83 % (3410924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/1.83 % (3410924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.83 % (3410924)CaDiCaL version: 2.1.3
% 8.83/1.83 % (3410924)Termination reason: Instruction limit
% 8.83/1.83 % (3410924)Termination phase: Saturation
% 8.83/1.83 % (3410924)Time elapsed: 0.055 s
% 8.83/1.83 % (3410924)Peak memory usage: 89 MB
% 8.83/1.83 % (3410924)Instructions burned: 119 (million)
% 8.83/1.83 % (3410922)Instruction limit reached!
% 8.83/1.83 % (3410922)------------------------------
% 8.83/1.83 % (3410922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/1.83 % (3410922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.83 % (3410922)CaDiCaL version: 2.1.3
% 8.83/1.83 % (3410922)Termination reason: Instruction limit
% 8.83/1.83 % (3410922)Termination phase: Saturation
% 8.83/1.83 % (3410922)Time elapsed: 0.068 s
% 8.83/1.83 % (3410922)Peak memory usage: 89 MB
% 8.83/1.83 % (3410922)Instructions burned: 115 (million)
% 8.83/1.83 % (3410921)Instruction limit reached!
% 8.83/1.83 % (3410921)------------------------------
% 8.83/1.83 % (3410921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/1.83 % (3410921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.83 % (3410921)CaDiCaL version: 2.1.3
% 8.83/1.83 % (3410921)Termination reason: Instruction limit
% 8.83/1.83 % (3410921)Termination phase: Saturation
% 8.83/1.83 % (3410921)Time elapsed: 0.069 s
% 8.83/1.83 % (3410921)Peak memory usage: 90 MB
% 8.83/1.83 % (3410921)Instructions burned: 108 (million)
% 8.83/1.83 % (3410932)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4095589392:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.83/1.83 % (3410933)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2828660883:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.83/1.83 % (3410932)Instruction limit reached!
% 8.83/1.83 % (3410932)------------------------------
% 8.83/1.83 % (3410932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/1.83 % (3410932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.83 % (3410932)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410932)Termination reason: Instruction limit
% 11.54/2.12 % (3410932)Termination phase: Saturation
% 11.54/2.12 % (3410932)Time elapsed: 0.049 s
% 11.54/2.12 % (3410932)Peak memory usage: 90 MB
% 11.54/2.12 % (3410932)Instructions burned: 144 (million)
% 11.54/2.12 % (3410935)lrs+10_64_to=lpo:sil=8000:random_seed=3073668853:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.54/2.12 % (3410934)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2117403991:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.54/2.12 % (3410935)Instruction limit reached!
% 11.54/2.12 % (3410935)------------------------------
% 11.54/2.12 % (3410935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410935)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410935)Termination reason: Instruction limit
% 11.54/2.12 % (3410935)Termination phase: Saturation
% 11.54/2.12 % (3410935)Time elapsed: 0.067 s
% 11.54/2.12 % (3410935)Peak memory usage: 90 MB
% 11.54/2.12 % (3410935)Instructions burned: 128 (million)
% 11.54/2.12 % (3410933)Instruction limit reached!
% 11.54/2.12 % (3410933)------------------------------
% 11.54/2.12 % (3410933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410933)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410933)Termination reason: Instruction limit
% 11.54/2.12 % (3410933)Termination phase: Saturation
% 11.54/2.12 % (3410933)Time elapsed: 0.101 s
% 11.54/2.12 % (3410933)Peak memory usage: 91 MB
% 11.54/2.12 % (3410933)Instructions burned: 191 (million)
% 11.54/2.12 % (3410938)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=586331204:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.54/2.12 % (3410934)Instruction limit reached!
% 11.54/2.12 % (3410934)------------------------------
% 11.54/2.12 % (3410934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410934)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410934)Termination reason: Instruction limit
% 11.54/2.12 % (3410934)Termination phase: Saturation
% 11.54/2.12 % (3410934)Time elapsed: 0.135 s
% 11.54/2.12 % (3410934)Peak memory usage: 90 MB
% 11.54/2.12 % (3410934)Instructions burned: 220 (million)
% 11.54/2.12 % (3410938)Instruction limit reached!
% 11.54/2.12 % (3410938)------------------------------
% 11.54/2.12 % (3410938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410938)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410938)Termination reason: Instruction limit
% 11.54/2.12 % (3410938)Termination phase: Saturation
% 11.54/2.12 % (3410938)Time elapsed: 0.067 s
% 11.54/2.12 % (3410938)Peak memory usage: 90 MB
% 11.54/2.12 % (3410938)Instructions burned: 195 (million)
% 11.54/2.12 % (3410941)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2790573097:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.54/2.12 % (3410943)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=291072665:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.54/2.12 % (3410945)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2376692620:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 11.54/2.12 % (3410944)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3819616023:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 11.54/2.12 % (3410945)Instruction limit reached!
% 11.54/2.12 % (3410945)------------------------------
% 11.54/2.12 % (3410945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410945)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410945)Termination reason: Instruction limit
% 11.54/2.12 % (3410945)Termination phase: Saturation
% 11.54/2.12 % (3410945)Time elapsed: 0.034 s
% 11.54/2.12 % (3410945)Peak memory usage: 90 MB
% 11.54/2.12 % (3410945)Instructions burned: 107 (million)
% 11.54/2.12 % (3410941)Instruction limit reached!
% 11.54/2.12 % (3410941)------------------------------
% 11.54/2.12 % (3410941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410941)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410941)Termination reason: Instruction limit
% 11.54/2.12 % (3410941)Termination phase: Saturation
% 11.54/2.12 % (3410941)Time elapsed: 0.094 s
% 11.54/2.12 % (3410941)Peak memory usage: 91 MB
% 11.54/2.12 % (3410941)Instructions burned: 159 (million)
% 11.54/2.12 % (3410944)Instruction limit reached!
% 11.54/2.12 % (3410944)------------------------------
% 11.54/2.12 % (3410944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410944)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410944)Termination reason: Instruction limit
% 11.54/2.12 % (3410944)Termination phase: Saturation
% 11.54/2.12 % (3410944)Time elapsed: 0.058 s
% 11.54/2.12 % (3410944)Peak memory usage: 90 MB
% 11.54/2.12 % (3410944)Instructions burned: 106 (million)
% 11.54/2.12 % (3410951)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1551541194:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 11.54/2.12 % (3410950)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2626745534:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 11.54/2.12 % (3410952)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2453198709:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 11.54/2.12 % (3410952)Instruction limit reached!
% 11.54/2.12 % (3410952)------------------------------
% 11.54/2.12 % (3410952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410952)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410952)Termination reason: Instruction limit
% 11.54/2.12 % (3410952)Termination phase: Saturation
% 11.54/2.12 % (3410952)Time elapsed: 0.086 s
% 11.54/2.12 % (3410952)Peak memory usage: 90 MB
% 11.54/2.12 % (3410952)Instructions burned: 134 (million)
% 11.54/2.12 % (3410950)Instruction limit reached!
% 11.54/2.12 % (3410950)------------------------------
% 11.54/2.12 % (3410950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410950)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410950)Termination reason: Instruction limit
% 11.54/2.12 % (3410950)Termination phase: Saturation
% 11.54/2.12 % (3410950)Time elapsed: 0.155 s
% 11.54/2.12 % (3410950)Peak memory usage: 90 MB
% 11.54/2.12 % (3410950)Instructions burned: 242 (million)
% 11.54/2.12 % (3410956)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3319196793:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.54/2.12 % (3410957)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=720695039:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 11.54/2.12 % (3410957)Instruction limit reached!
% 11.54/2.12 % (3410957)------------------------------
% 11.54/2.12 % (3410957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410957)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410957)Termination reason: Instruction limit
% 11.54/2.12 % (3410957)Termination phase: Saturation
% 11.54/2.12 % (3410957)Time elapsed: 0.099 s
% 11.54/2.12 % (3410957)Peak memory usage: 91 MB
% 11.54/2.12 % (3410957)Instructions burned: 191 (million)
% 11.54/2.12 % (3410960)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=761053001:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 11.54/2.12 % (3410956)Instruction limit reached!
% 11.54/2.12 % (3410956)------------------------------
% 11.54/2.12 % (3410956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410956)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410956)Termination reason: Instruction limit
% 11.54/2.12 % (3410956)Termination phase: Saturation
% 11.54/2.12 % (3410956)Time elapsed: 0.256 s
% 11.54/2.12 % (3410956)Peak memory usage: 101 MB
% 11.54/2.12 % (3410956)Instructions burned: 500 (million)
% 11.54/2.12 % (3410960)Instruction limit reached!
% 11.54/2.12 % (3410960)------------------------------
% 11.54/2.12 % (3410960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410960)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410960)Termination reason: Instruction limit
% 11.54/2.12 % (3410960)Termination phase: Saturation
% 11.54/2.12 % (3410960)Time elapsed: 0.140 s
% 11.54/2.12 % (3410960)Peak memory usage: 91 MB
% 11.54/2.12 % (3410960)Instructions burned: 264 (million)
% 11.54/2.12 % (3410962)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3908670886:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.54/2.12 % (3410951)First to succeed.
% 11.54/2.12 % (3410951)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3410913"
% 11.54/2.12 % (3410962)Instruction limit reached!
% 11.54/2.12 % (3410962)------------------------------
% 11.54/2.12 % (3410962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.54/2.12 % (3410962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.12 % (3410962)CaDiCaL version: 2.1.3
% 11.54/2.12 % (3410962)Termination reason: Instruction limit
% 11.54/2.12 % (3410962)Termination phase: Saturation
% 11.54/2.12 % (3410962)Time elapsed: 0.089 s
% 11.54/2.12 % (3410962)Peak memory usage: 90 MB
% 11.54/2.12 % (3410962)Instructions burned: 157 (million)
% 11.54/2.12 % (3410964)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2682166024:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 11.54/2.12 % (3410965)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3090562992:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 11.54/2.12 % (3410943)Also succeeded, but the first one will report.
% 11.54/2.12 % (3410951)Refutation found. Thanks to Tanya!
% 11.54/2.12 % SZS status Unsatisfiable for theBenchmark
% 11.54/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 12.35/2.32 % (3410951)------------------------------
% 12.35/2.32 % (3410951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.35/2.32 % (3410951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.32 % (3410951)CaDiCaL version: 2.1.3
% 12.35/2.32 % (3410951)Termination reason: Refutation
% 12.35/2.32 % (3410951)Time elapsed: 0.717 s
% 12.35/2.32 % (3410951)Peak memory usage: 133 MB
% 12.35/2.32 % (3410951)Instructions burned: 1482 (million)
% 12.35/2.32 % (3410951)------------------------------
% 12.35/2.32 % (3410951)------------------------------
% 12.35/2.32 % (3410913)Success in time 1.712 s
% 12.35/2.32 % Vampire exiting
%------------------------------------------------------------------------------