%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC214-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:02:58 PM UTC 2026
% Result : Unsatisfiable 6.86s 1.97s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of formulae : 113 ( 23 unt; 9 def)
% Number of atoms : 314 ( 41 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 386 ( 185 ~; 192 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ neq(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f226,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f250,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f251,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f259,definition,
( spl0_4
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f285,plain,
spl0_4,
inference(avatar_split_clause,[],[f66,f259]) ).
fof(f286,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f250]) ).
fof(f287,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f214]) ).
fof(f288,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f287,f202]) ).
fof(f289,plain,
( nil = sk3
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f288,f251]) ).
fof(f290,plain,
( ~ neq(nil,nil)
| ~ spl0_2 ),
inference(superposition,[],[f214,f289]) ).
fof(f293,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| sk3 = X0 ),
inference(resolution,[],[f209,f102]) ).
fof(f295,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| ~ ssList(sk3)
| sk3 = X0 ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f297,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| sk3 = X0 ),
inference(forward_subsumption_resolution,[],[f295,f202]) ).
fof(f298,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ strictorderedP(X0)
| sk3 = X0 )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f297,f289]) ).
fof(f299,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ strictorderedP(X0)
| sk3 = X0 )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f298,f56]) ).
fof(f300,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| nil = X0
| ~ strictorderedP(X0) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f299,f289]) ).
fof(f383,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f385,definition,
( spl0_10
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f386,plain,
( nil != sk4
| spl0_10 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f387,plain,
( nil = sk4
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f389,definition,
( spl0_11
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f391,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f383,f389,f385]) ).
fof(f396,plain,
( neq(nil,nil)
| ~ spl0_10 ),
inference(superposition,[],[f213,f387]) ).
fof(f404,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f396,f290]) ).
fof(f405,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f412,definition,
( spl0_12
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f413,plain,
( ssItem(hd(sk4))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( ~ ssItem(hd(sk4))
| spl0_12 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl0_13
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f417,plain,
( ssList(tl(sk4))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( ~ ssList(tl(sk4))
| spl0_13 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f432,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_12 ),
inference(resolution,[],[f414,f78]) ).
fof(f433,plain,
( nil = sk4
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f432,f203]) ).
fof(f434,plain,
( $false
| spl0_10
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f433,f386]) ).
fof(f435,plain,
( spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f436,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
| ~ spl0_12 ),
inference(resolution,[],[f413,f126]) ).
fof(f444,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_13 ),
inference(resolution,[],[f77,f418]) ).
fof(f450,plain,
( nil = sk4
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f444,f203]) ).
fof(f451,plain,
( $false
| spl0_10
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f450,f386]) ).
fof(f452,plain,
( spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f453,plain,
( cons(hd(sk4),tl(sk4)) = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f417,f436]) ).
fof(f467,plain,
( sk4 = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f453,f391]) ).
fof(f468,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f226,f467]) ).
fof(f472,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f468,f203]) ).
fof(f474,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f472,f417]) ).
fof(f476,definition,
( spl0_19
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f477,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_19 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,definition,
( spl0_20
<=> frontsegP(sk4,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f482,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f474,f416,f412,f389,f480,f476]) ).
fof(f484,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_19 ),
inference(resolution,[],[f478,f86]) ).
fof(f485,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_2
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f484,f251]) ).
fof(f486,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f485,f413]) ).
fof(f487,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f494,definition,
( spl0_21
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f495,plain,
( nil != cons(hd(sk4),nil)
| spl0_21 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f496,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f502,plain,
( ~ ssList(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ strictorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| ~ spl0_20 ),
inference(resolution,[],[f482,f300]) ).
fof(f512,plain,
( nil != nil
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_21 ),
inference(superposition,[],[f100,f496]) ).
fof(f515,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f512]) ).
fof(f518,plain,
( ~ ssList(nil)
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f515,f413]) ).
fof(f522,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f518,f251]) ).
fof(f523,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f526,plain,
( nil = cons(hd(sk4),nil)
| ~ strictorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f502,f477]) ).
fof(f527,plain,
( ~ strictorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f526,f495]) ).
fof(f528,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(resolution,[],[f527,f260]) ).
fof(f529,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f528,f413]) ).
fof(f530,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f529]) ).
cnf(s9,plain,
spl0_4,
inference(sat_conversion,[],[f285]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f286]) ).
cnf(s11,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f392]) ).
cnf(s12,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(sat_conversion,[],[f405]) ).
cnf(s16,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f435]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f452]) ).
cnf(s19,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f483]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f487]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f523]) ).
cnf(s24,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f530]) ).
cnf(s25,plain,
~ spl0_10,
inference(rat,[],[s12,s10]) ).
cnf(s26,plain,
spl0_13,
inference(rat,[],[s17,s25]) ).
cnf(s27,plain,
spl0_12,
inference(rat,[],[s16,s25]) ).
cnf(s28,plain,
spl0_11,
inference(rat,[],[s11,s25]) ).
cnf(s29,plain,
~ spl0_21,
inference(rat,[],[s22,s10,s27]) ).
cnf(s30,plain,
spl0_19,
inference(rat,[],[s20,s10,s27]) ).
cnf(s31,plain,
spl0_20,
inference(rat,[],[s19,s27,s30,s26,s28]) ).
cnf(s36,plain,
~ spl0_4,
inference(rat,[],[s24,s29,s27,s30,s10,s31]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s9,s36]) ).
fof(f531,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC214-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:34:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.86/1.97 % (211967)Input is clausal, will run a generic CNF schedule.
% 6.86/1.97 % (211978)dis-21_1_sil=8000:lcm=predicate:random_seed=1769947465: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)
% 6.86/1.97 % (211978)Instruction limit reached!
% 6.86/1.97 % (211978)------------------------------
% 6.86/1.97 % (211978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211978)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211978)Termination reason: Instruction limit
% 6.86/1.97 % (211978)Termination phase: Saturation
% 6.86/1.97 % (211978)Time elapsed: 0.028 s
% 6.86/1.97 % (211978)Peak memory usage: 89 MB
% 6.86/1.97 % (211978)Instructions burned: 120 (million)
% 6.86/1.97 % (211976)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=362900237:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.86/1.97 % (211975)lrs+10_1_sil=8000:sp=occurrence:random_seed=1438947201:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.86/1.97 % (211972)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=1691212043:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.86/1.97 % (211974)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1828575123:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.86/1.97 % (211973)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2695845801:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.86/1.97 % (211977)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=748594538:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.86/1.97 % (211976)Instruction limit reached!
% 6.86/1.97 % (211976)------------------------------
% 6.86/1.97 % (211976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211976)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211976)Termination reason: Instruction limit
% 6.86/1.97 % (211976)Termination phase: Saturation
% 6.86/1.97 % (211976)Time elapsed: 0.065 s
% 6.86/1.97 % (211976)Peak memory usage: 89 MB
% 6.86/1.97 % (211976)Instructions burned: 116 (million)
% 6.86/1.97 % (211975)Instruction limit reached!
% 6.86/1.97 % (211975)------------------------------
% 6.86/1.97 % (211975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211975)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211975)Termination reason: Instruction limit
% 6.86/1.97 % (211975)Termination phase: Saturation
% 6.86/1.97 % (211975)Time elapsed: 0.067 s
% 6.86/1.97 % (211975)Peak memory usage: 89 MB
% 6.86/1.97 % (211975)Instructions burned: 108 (million)
% 6.86/1.97 % (211980)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=1330839962:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.86/1.97 % (211980)Refutation not found, incomplete strategy
% 6.86/1.97 % (211980)------------------------------
% 6.86/1.97 % (211980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211980)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211980)Termination reason: Refutation not found, incomplete strategy
% 6.86/1.97 % (211980)Time elapsed: 0.003 s
% 6.86/1.97 % (211980)Peak memory usage: 89 MB
% 6.86/1.97 % (211980)Instructions burned: 5 (million)
% 6.86/1.97 % (211977)Instruction limit reached!
% 6.86/1.97 % (211977)------------------------------
% 6.86/1.97 % (211977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211977)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211977)Termination reason: Instruction limit
% 6.86/1.97 % (211977)Termination phase: Saturation
% 6.86/1.97 % (211977)Time elapsed: 0.123 s
% 6.86/1.97 % (211977)Peak memory usage: 90 MB
% 6.86/1.97 % (211977)Instructions burned: 181 (million)
% 6.86/1.97 % (211987)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2192076178: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)
% 6.86/1.97 % (211988)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2855857402:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.86/1.97 % (211980)------------------------------
% 6.86/1.97 % (211980)------------------------------
% 6.86/1.97 % (211990)lrs+10_64_to=lpo:sil=8000:random_seed=4286082756:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.86/1.97 % (211988)Instruction limit reached!
% 6.86/1.97 % (211988)------------------------------
% 6.86/1.97 % (211988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211988)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211988)Termination reason: Instruction limit
% 6.86/1.97 % (211988)Termination phase: Saturation
% 6.86/1.97 % (211988)Time elapsed: 0.087 s
% 6.86/1.97 % (211988)Peak memory usage: 88 MB
% 6.86/1.97 % (211988)Instructions burned: 220 (million)
% 6.86/1.97 % (211987)Instruction limit reached!
% 6.86/1.97 % (211987)------------------------------
% 6.86/1.97 % (211987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211987)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211987)Termination reason: Instruction limit
% 6.86/1.97 % (211987)Termination phase: Saturation
% 6.86/1.97 % (211987)Time elapsed: 0.100 s
% 6.86/1.97 % (211987)Peak memory usage: 90 MB
% 6.86/1.97 % (211987)Instructions burned: 190 (million)
% 6.86/1.97 % (211990)Instruction limit reached!
% 6.86/1.97 % (211990)------------------------------
% 6.86/1.97 % (211990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211990)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211990)Termination reason: Instruction limit
% 6.86/1.97 % (211990)Termination phase: Saturation
% 6.86/1.97 % (211990)Time elapsed: 0.069 s
% 6.86/1.97 % (211990)Peak memory usage: 90 MB
% 6.86/1.97 % (211990)Instructions burned: 127 (million)
% 6.86/1.97 % (211993)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1021605655:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.86/1.97 % (211993)Instruction limit reached!
% 6.86/1.97 % (211993)------------------------------
% 6.86/1.97 % (211993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211993)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211993)Termination reason: Instruction limit
% 6.86/1.97 % (211993)Termination phase: Saturation
% 6.86/1.97 % (211993)Time elapsed: 0.069 s
% 6.86/1.97 % (211993)Peak memory usage: 90 MB
% 6.86/1.97 % (211993)Instructions burned: 195 (million)
% 6.86/1.97 % (211995)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1722297544:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.86/1.97 % (211996)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2889994942:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.86/1.97 % (211997)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=1798823391:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.86/1.97 % (211995)Instruction limit reached!
% 6.86/1.97 % (211995)------------------------------
% 6.86/1.97 % (211995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211995)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211995)Termination reason: Instruction limit
% 6.86/1.97 % (211995)Termination phase: Saturation
% 6.86/1.97 % (211995)Time elapsed: 0.094 s
% 6.86/1.97 % (211995)Peak memory usage: 91 MB
% 6.86/1.97 % (211995)Instructions burned: 157 (million)
% 6.86/1.97 % (212000)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1449182920:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.86/1.97 % (211997)Instruction limit reached!
% 6.86/1.97 % (211997)------------------------------
% 6.86/1.97 % (211997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (211997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (211997)CaDiCaL version: 2.1.3
% 6.86/1.97 % (211997)Termination reason: Instruction limit
% 6.86/1.97 % (211997)Termination phase: Saturation
% 6.86/1.97 % (211997)Time elapsed: 0.059 s
% 6.86/1.97 % (211997)Peak memory usage: 89 MB
% 6.86/1.97 % (211997)Instructions burned: 107 (million)
% 6.86/1.97 % (212000)Instruction limit reached!
% 6.86/1.97 % (212000)------------------------------
% 6.86/1.97 % (212000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (212000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (212000)CaDiCaL version: 2.1.3
% 6.86/1.97 % (212000)Termination reason: Instruction limit
% 6.86/1.97 % (212000)Termination phase: Saturation
% 6.86/1.97 % (212000)Time elapsed: 0.037 s
% 6.86/1.97 % (212000)Peak memory usage: 90 MB
% 6.86/1.97 % (212000)Instructions burned: 108 (million)
% 6.86/1.97 % (211972)First to succeed.
% 6.86/1.97 % (211972)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-211967"
% 6.86/1.97 % (212003)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1739344861:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.86/1.97 % (212006)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=446688527:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.86/1.97 % (212005)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2279366347:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.86/1.97 % (212006)Instruction limit reached!
% 6.86/1.97 % (212006)------------------------------
% 6.86/1.97 % (212006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (212006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (212006)CaDiCaL version: 2.1.3
% 6.86/1.97 % (212006)Termination reason: Instruction limit
% 6.86/1.97 % (212006)Termination phase: Saturation
% 6.86/1.97 % (212006)Time elapsed: 0.050 s
% 6.86/1.97 % (212006)Peak memory usage: 89 MB
% 6.86/1.97 % (212006)Instructions burned: 136 (million)
% 6.86/1.97 % (212003)Instruction limit reached!
% 6.86/1.97 % (212003)------------------------------
% 6.86/1.97 % (212003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.97 % (212003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.97 % (212003)CaDiCaL version: 2.1.3
% 6.86/1.97 % (212003)Termination reason: Instruction limit
% 6.86/1.97 % (212003)Termination phase: Saturation
% 6.86/1.97 % (212003)Time elapsed: 0.152 s
% 6.86/1.97 % (212003)Peak memory usage: 89 MB
% 6.86/1.97 % (212003)Instructions burned: 242 (million)
% 6.86/1.97 % (212010)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3979988376:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.86/1.97 % (211972)Refutation found. Thanks to Tanya!
% 6.86/1.97 % SZS status Unsatisfiable for theBenchmark
% 6.86/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/2.16 % (211972)------------------------------
% 8.51/2.16 % (211972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.16 % (211972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.16 % (211972)CaDiCaL version: 2.1.3
% 8.51/2.16 % (211972)Termination reason: Refutation
% 8.51/2.16 % (211972)Time elapsed: 0.682 s
% 8.51/2.16 % (211972)Peak memory usage: 131 MB
% 8.51/2.16 % (211972)Instructions burned: 1011 (million)
% 8.51/2.16 % (211972)------------------------------
% 8.51/2.16 % (211972)------------------------------
% 8.51/2.16 % (211967)Success in time 1.123 s
% 8.51/2.16 % Vampire exiting
%------------------------------------------------------------------------------