↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC324-1 : 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 : n016.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 01:03:28 PM UTC 2026

% Result   : Unsatisfiable 0.75s 1.02s
% Output   : Refutation 2.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  101 (  14 unt;   7 def)
%            Number of atoms       :  268 (  77 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  334 ( 167   ~; 160   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f112,axiom,
    ! [X0] :
      ( cons(skaf83(X0),skaf82(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

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(f156,axiom,
    ! [X0,X1] :
      ( nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X1) = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f157,plain,
    ! [X0,X1] :
      ( nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = app(X0,X1) ),
    inference(reorient_equations,[],[f156]) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != sk2
      | app(X1,X0) != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(X1,cons(X0,nil)) = sk3
      | app(cons(X0,nil),X1) != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk4
      | ~ ssList(X1)
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(reorient_equations,[],[f207]) ).

fof(f209,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f222,plain,
    ! [X1] :
      ( nil != X1
      | ~ ssList(X1)
      | ~ ssList(nil)
      | nil = app(nil,X1) ),
    inference(equality_resolution,[],[f157]) ).

fof(f223,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f222]) ).

fof(f235,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f241,definition,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f243,plain,
    ( nil != sk4
    | spl0_1 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f245,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f248,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f209,f245,f241]) ).

fof(f250,definition,
    ( spl0_3
  <=> nil = app(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f252,plain,
    ( nil = app(nil,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f254,definition,
    ( spl0_4
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f255,plain,
    ( ssList(nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f257,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f235,f254,f250]) ).

fof(f290,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f8,f254]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( app(X0,X1) != sk4
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) != sk1 ),
    inference(forward_demodulation,[],[f206,f204]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( app(X1,X0) != sk3
      | app(X0,X1) != sk4
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(forward_demodulation,[],[f293,f205]) ).

fof(f296,plain,
    ( nil != sk3
    | nil != sk4
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ spl0_3 ),
    inference(superposition,[],[f294,f252]) ).

fof(f297,plain,
    ( nil != sk3
    | nil != sk4
    | ~ ssList(nil)
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f407,definition,
    ( spl0_13
  <=> sk4 = app(cons(skaf83(sk4),nil),skaf82(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f408,plain,
    ( sk4 = app(cons(skaf83(sk4),nil),skaf82(sk4))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f409,plain,
    ( sk4 != app(cons(skaf83(sk4),nil),skaf82(sk4))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f434,plain,
    ( nil != sk3
    | nil != sk4
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f297,f255]) ).

fof(f441,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f434,f254,f250,f245,f241]) ).

fof(f501,plain,
    ( sk4 != cons(skaf83(sk4),skaf82(sk4))
    | ~ ssList(skaf82(sk4))
    | ~ ssItem(skaf83(sk4))
    | spl0_13 ),
    inference(superposition,[],[f409,f126]) ).

fof(f508,plain,
    ( sk4 != cons(skaf83(sk4),skaf82(sk4))
    | ~ ssItem(skaf83(sk4))
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f501,f13]) ).

fof(f511,plain,
    ( sk4 != cons(skaf83(sk4),skaf82(sk4))
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f508,f12]) ).

fof(f512,plain,
    ( sk4 != sk4
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_13 ),
    inference(superposition,[],[f511,f112]) ).

fof(f513,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_13 ),
    inference(trivial_inequality_removal,[],[f512]) ).

fof(f514,plain,
    ( nil = sk4
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f513,f203]) ).

fof(f515,plain,
    ( $false
    | spl0_1
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f514,f243]) ).

fof(f516,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f518,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | ~ ssList(skaf82(sk4))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f126,f408]) ).

fof(f519,plain,
    ( sk4 != sk4
    | ~ ssList(skaf82(sk4))
    | sk3 = app(skaf82(sk4),cons(skaf83(sk4),nil))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f208,f408]) ).

fof(f525,plain,
    ( ~ ssList(skaf82(sk4))
    | sk3 = app(skaf82(sk4),cons(skaf83(sk4),nil))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f519]) ).

fof(f527,plain,
    ( sk3 = app(skaf82(sk4),cons(skaf83(sk4),nil))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f525,f13]) ).

fof(f528,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f518,f13]) ).

fof(f531,plain,
    ( sk3 = app(skaf82(sk4),cons(skaf83(sk4),nil))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f527,f12]) ).

fof(f532,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f528,f12]) ).

fof(f536,plain,
    ( skaf83(sk4) = hd(sk4)
    | ~ ssList(skaf82(sk4))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f97,f532]) ).

fof(f537,plain,
    ( skaf82(sk4) = tl(sk4)
    | ~ ssList(skaf82(sk4))
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f96,f532]) ).

fof(f544,plain,
    ( skaf82(sk4) = tl(sk4)
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f537,f13]) ).

fof(f545,plain,
    ( skaf83(sk4) = hd(sk4)
    | ~ ssItem(skaf83(sk4))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f536,f13]) ).

fof(f548,plain,
    ( skaf82(sk4) = tl(sk4)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f544,f12]) ).

fof(f549,plain,
    ( skaf83(sk4) = hd(sk4)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f545,f12]) ).

fof(f593,plain,
    ( ssList(tl(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f13,f548]) ).

fof(f638,plain,
    ( sk4 = cons(hd(sk4),skaf82(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f532,f549]) ).

fof(f641,plain,
    ( ssItem(hd(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f12,f549]) ).

fof(f645,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f638,f548]) ).

fof(f1259,definition,
    ( spl0_23
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f1260,plain,
    ( ssList(cons(hd(sk4),nil))
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1261,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1320,definition,
    ( spl0_33
  <=> sk4 = app(cons(hd(sk4),nil),tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f1322,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | spl0_33 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f1382,plain,
    ( sk3 = app(skaf82(sk4),cons(hd(sk4),nil))
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f531,f549]) ).

fof(f1383,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1382,f548]) ).

fof(f1384,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_23 ),
    inference(resolution,[],[f1261,f86]) ).

fof(f1385,plain,
    ( ~ ssItem(hd(sk4))
    | ~ spl0_4
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1384,f255]) ).

fof(f1386,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1385,f641]) ).

fof(f1387,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1544,plain,
    ( sk3 != sk3
    | sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ spl0_13 ),
    inference(superposition,[],[f294,f1383]) ).

fof(f1547,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1544]) ).

fof(f1550,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1547,f1260]) ).

fof(f1563,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1550,f593]) ).

fof(f1574,plain,
    ( ~ spl0_33
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1563,f1259,f407,f1320]) ).

fof(f2017,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | spl0_33 ),
    inference(superposition,[],[f1322,f126]) ).

fof(f2018,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ spl0_13
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f2017,f645]) ).

fof(f2019,plain,
    ( ~ ssItem(hd(sk4))
    | ~ spl0_13
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f2018,f593]) ).

fof(f2020,plain,
    ( $false
    | ~ spl0_13
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f2019,f641]) ).

fof(f2021,plain,
    ( ~ spl0_13
    | spl0_33 ),
    inference(avatar_contradiction_clause,[],[f2020]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s2,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s11,plain,
    spl0_4,
    inference(sat_conversion,[],[f290]) ).

cnf(s19,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s20,plain,
    ( spl0_1
    | spl0_13 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s58,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_23 ),
    inference(sat_conversion,[],[f1387]) ).

cnf(s71,plain,
    ( ~ spl0_13
    | ~ spl0_23
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s80,plain,
    ( ~ spl0_13
    | spl0_33 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s85,plain,
    spl0_3,
    inference(rat,[],[s2,s11]) ).

cnf(s86,plain,
    ( ~ spl0_13
    | ~ spl0_33 ),
    inference(rat,[],[s58,s71,s11]) ).

cnf(s87,plain,
    ~ spl0_13,
    inference(rat,[],[s86,s80]) ).

cnf(s88,plain,
    spl0_1,
    inference(rat,[],[s20,s87]) ).

cnf(s89,plain,
    ~ spl0_2,
    inference(rat,[],[s19,s11,s85,s88]) ).

cnf(s90,plain,
    $false,
    inference(rat,[],[s1,s89,s88]) ).

fof(f2022,plain,
    $false,
    inference(avatar_sat_refutation,[],[s90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC324-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  % Computer : n016.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Mon Sep 28 09:10:33 UTC 2026
% 0.09/0.22  % CPUTime  : 
% 0.09/0.22  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26  Running first-order theorem proving
% 0.09/0.26  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
% 0.75/1.02  % (3494770)Input is clausal, will run a generic CNF schedule.
% 0.75/1.02  % (3494779)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1550596193:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.75/1.02  % (3494779)Instruction limit reached! 
% 0.75/1.02  % (3494779)------------------------------
% 0.75/1.02  % (3494779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.02  % (3494779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.02  % (3494779)CaDiCaL version: 2.1.3
% 0.75/1.02  % (3494779)Termination reason: Instruction limit
% 0.75/1.02  % (3494779)Termination phase: Saturation
% 0.75/1.02  % (3494779)Time elapsed: 0.028 s
% 0.75/1.02  % (3494779)Peak memory usage: 88 MB
% 0.75/1.02  % (3494779)Instructions burned: 118 (million)
% 0.75/1.02  % (3494780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=831701304:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.75/1.02  % (3494775)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=2693268979:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.75/1.02  % (3494778)lrs+10_1_sil=8000:sp=occurrence:random_seed=3965192056:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.75/1.02  % (3494776)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=624520588:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.75/1.02  % (3494781)dis-21_1_sil=8000:lcm=predicate:random_seed=1471826624: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)
% 0.75/1.02  % (3494777)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2223149978:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.75/1.02  % (3494780)First to succeed.
% 0.75/1.02  % (3494780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3494770"
% 0.75/1.02  % (3494781)Instruction limit reached! 
% 0.75/1.02  % (3494781)------------------------------
% 0.75/1.02  % (3494781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.02  % (3494781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.02  % (3494781)CaDiCaL version: 2.1.3
% 0.75/1.02  % (3494781)Termination reason: Instruction limit
% 0.75/1.02  % (3494781)Termination phase: Saturation
% 0.75/1.02  % (3494781)Time elapsed: 0.053 s
% 0.75/1.02  % (3494781)Peak memory usage: 89 MB
% 0.75/1.02  % (3494781)Instructions burned: 119 (million)
% 0.75/1.02  % (3494778)Instruction limit reached! 
% 0.75/1.02  % (3494778)------------------------------
% 0.75/1.02  % (3494778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.02  % (3494778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.02  % (3494778)CaDiCaL version: 2.1.3
% 0.75/1.02  % (3494778)Termination reason: Instruction limit
% 0.75/1.02  % (3494778)Termination phase: Saturation
% 0.75/1.02  % (3494778)Time elapsed: 0.061 s
% 0.75/1.02  % (3494778)Peak memory usage: 90 MB
% 0.75/1.02  % (3494778)Instructions burned: 107 (million)
% 0.75/1.02  % (3494783)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=2509789187:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.75/1.02  % (3494780)Refutation found. Thanks to Tanya!
% 0.75/1.02  % SZS status Unsatisfiable for theBenchmark
% 0.75/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.12  % (3494780)------------------------------
% 2.84/1.12  % (3494780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.12  % (3494780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.12  % (3494780)CaDiCaL version: 2.1.3
% 2.84/1.12  % (3494780)Termination reason: Refutation
% 2.84/1.12  % (3494780)Time elapsed: 0.025 s
% 2.84/1.12  % (3494780)Peak memory usage: 90 MB
% 2.84/1.12  % (3494780)Instructions burned: 65 (million)
% 2.84/1.12  % (3494780)------------------------------
% 2.84/1.12  % (3494780)------------------------------
% 2.84/1.12  % (3494770)Success in time 0.33 s
% 2.84/1.12  % Vampire exiting
%------------------------------------------------------------------------------