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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT223-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 11:46:18 AM UTC 2026

% Result   : Unsatisfiable 9.94s 2.38s
% Output   : Refutation 10.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  109 (  56 unt;  12 def)
%            Number of atoms       :  178 (  82 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  136 (  67   ~;  60   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   11 (   9 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :   73 (   0 sgn  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f4,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).

fof(f5,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).

fof(f6,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).

fof(f7,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f8,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).

fof(f9,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).

fof(f10,axiom,
    ! [X0] : join(X0,complement(X0)) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).

fof(f11,axiom,
    ! [X0] : meet(X0,complement(X0)) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).

fof(f12,axiom,
    ! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X0,X1),zero,complement(X0),X1),X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).

fof(f13,axiom,
    ! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X0,join(meet(X0,X1),meet(X2,join(X0,X1)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H7) ).

fof(f14,axiom,
    meet(b,a) = a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).

fof(f15,plain,
    a = meet(b,a),
    inference(reorient_equations,[],[f14]) ).

fof(f16,negated_conjecture,
    join(complement(b),complement(a)) != complement(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).

fof(f17,plain,
    complement(a) != join(complement(b),complement(a)),
    inference(reorient_equations,[],[f16]) ).

fof(f18,definition,
    sF0 = complement(a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f19,plain,
    complement(a) = sF0,
    inference(reorient_equations,[],[f18]) ).

fof(f20,definition,
    sF1 = complement(b),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f21,plain,
    complement(b) = sF1,
    inference(reorient_equations,[],[f20]) ).

fof(f22,definition,
    sF2 = join(sF1,sF0),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f23,plain,
    join(sF1,sF0) = sF2,
    inference(reorient_equations,[],[f22]) ).

fof(f24,plain,
    sF0 != sF2,
    inference(definition_folding,[],[f17,f23,f19,f21,f19]) ).

fof(f28,definition,
    ( spl3_1
  <=> a = meet(b,a) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f30,plain,
    ( a = meet(b,a)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f31,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f15,f28]) ).

fof(f34,definition,
    ( spl3_2
  <=> sF0 = sF2 ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

fof(f36,plain,
    ( sF0 != sF2
    | spl3_2 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f37,plain,
    ~ spl3_2,
    inference(avatar_split_clause,[],[f24,f34]) ).

fof(f44,plain,
    ! [X0,X1] : meet(X1,join(X0,X1)) = X1,
    inference(superposition,[],[f4,f7]) ).

fof(f46,definition,
    ( spl3_4
  <=> complement(a) = sF0 ),
    introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).

fof(f48,plain,
    ( complement(a) = sF0
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f49,plain,
    spl3_4,
    inference(avatar_split_clause,[],[f19,f46]) ).

fof(f51,definition,
    ( spl3_5
  <=> join(sF1,sF0) = sF2 ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

fof(f53,plain,
    ( join(sF1,sF0) = sF2
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f54,plain,
    spl3_5,
    inference(avatar_split_clause,[],[f23,f51]) ).

fof(f57,plain,
    ! [X0,X1] : join(X1,meet(X0,X1)) = X1,
    inference(superposition,[],[f5,f6]) ).

fof(f59,definition,
    ( spl3_6
  <=> complement(b) = sF1 ),
    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).

fof(f61,plain,
    ( complement(b) = sF1
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f62,plain,
    spl3_6,
    inference(avatar_split_clause,[],[f21,f59]) ).

fof(f65,plain,
    ! [X0] : meet(X0,one) = X0,
    inference(superposition,[],[f4,f10]) ).

fof(f67,plain,
    ! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
    inference(superposition,[],[f9,f5]) ).

fof(f79,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f7,f9]) ).

fof(f140,plain,
    ! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(X0,meet(X1,join(meet(X1,X0),meet(X2,join(X0,X1)))))),
    inference(superposition,[],[f13,f7]) ).

fof(f201,plain,
    ! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
    inference(superposition,[],[f8,f11]) ).

fof(f242,plain,
    ! [X0] : meet(one,X0) = X0,
    inference(superposition,[],[f6,f65]) ).

fof(f246,plain,
    ! [X0] : one = join(one,X0),
    inference(superposition,[],[f57,f65]) ).

fof(f266,plain,
    ! [X0] : one = join(X0,one),
    inference(superposition,[],[f44,f242]) ).

fof(f527,plain,
    ! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
    inference(superposition,[],[f67,f7]) ).

fof(f531,plain,
    ! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
    inference(superposition,[],[f67,f10]) ).

fof(f553,plain,
    ! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
    inference(forward_demodulation,[],[f531,f266]) ).

fof(f577,plain,
    ( one = join(b,complement(a))
    | ~ spl3_1 ),
    inference(superposition,[],[f553,f30]) ).

fof(f600,plain,
    ( one = join(b,sF0)
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f577,f48]) ).

fof(f606,definition,
    ( spl3_7
  <=> one = join(b,sF0) ),
    introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).

fof(f608,plain,
    ( one = join(b,sF0)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( spl3_7
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f600,f46,f28,f606]) ).

fof(f611,plain,
    ( ! [X0] : join(one,X0) = join(b,join(sF0,X0))
    | ~ spl3_7 ),
    inference(superposition,[],[f9,f608]) ).

fof(f623,plain,
    ( ! [X0] : one = join(b,join(sF0,X0))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f611,f246]) ).

fof(f1304,plain,
    ( ! [X0] : meet(sF0,join(b,meet(sF0,X0))) = meet(sF0,join(b,meet(sF0,join(meet(sF0,b),meet(X0,one)))))
    | ~ spl3_7 ),
    inference(superposition,[],[f140,f608]) ).

fof(f1382,plain,
    ( ! [X0] : meet(sF0,join(b,meet(sF0,X0))) = meet(sF0,join(b,meet(sF0,join(meet(sF0,b),X0))))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f1304,f65]) ).

fof(f1437,plain,
    ( ! [X0] : meet(sF0,join(b,meet(sF0,X0))) = meet(sF0,join(b,meet(sF0,join(meet(b,sF0),X0))))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f1382,f6]) ).

fof(f2514,plain,
    ! [X2,X3,X0,X1] : join(X1,join(X3,X0)) = join(X1,join(X0,join(meet(X1,X2),X3))),
    inference(superposition,[],[f67,f79]) ).

fof(f3356,plain,
    ( meet(sF0,join(b,meet(sF0,one))) = meet(sF0,join(b,meet(sF0,complement(meet(b,sF0)))))
    | ~ spl3_7 ),
    inference(superposition,[],[f1437,f10]) ).

fof(f3409,plain,
    ( meet(sF0,join(b,meet(sF0,complement(meet(b,sF0))))) = meet(sF0,join(b,meet(one,sF0)))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f3356,f6]) ).

fof(f3436,plain,
    ( meet(sF0,join(b,sF0)) = meet(sF0,join(b,meet(sF0,complement(meet(b,sF0)))))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f3409,f242]) ).

fof(f3460,plain,
    ( sF0 = meet(sF0,join(b,meet(sF0,complement(meet(b,sF0)))))
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f3436,f44]) ).

fof(f3500,definition,
    ( spl3_16
  <=> sF0 = meet(sF0,join(b,meet(sF0,complement(meet(b,sF0))))) ),
    introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).

fof(f3502,plain,
    ( sF0 = meet(sF0,join(b,meet(sF0,complement(meet(b,sF0)))))
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f3500]) ).

fof(f3503,plain,
    ( spl3_16
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f3460,f606,f3500]) ).

fof(f3703,plain,
    ! [X2,X3,X0,X1] : join(join(X0,X1),X3) = join(X0,join(join(X1,meet(X0,X2)),X3)),
    inference(superposition,[],[f9,f527]) ).

fof(f3750,plain,
    ! [X2,X3,X0,X1] : join(join(X0,X1),X3) = join(X0,join(X1,join(meet(X0,X2),X3))),
    inference(forward_demodulation,[],[f3703,f9]) ).

fof(f3782,plain,
    ! [X3,X0,X1] : join(join(X0,X1),X3) = join(X0,join(X3,X1)),
    inference(forward_demodulation,[],[f3750,f2514]) ).

fof(f3788,plain,
    ! [X3,X0,X1] : join(X0,join(X1,X3)) = join(X0,join(X3,X1)),
    inference(forward_demodulation,[],[f3782,f9]) ).

fof(f3965,plain,
    ( join(b,meet(sF0,complement(meet(b,sF0)))) = join(join(b,meet(sF0,complement(meet(b,sF0)))),sF0)
    | ~ spl3_16 ),
    inference(superposition,[],[f57,f3502]) ).

fof(f3989,plain,
    ( join(b,meet(sF0,complement(meet(b,sF0)))) = join(sF0,join(b,meet(sF0,complement(meet(b,sF0)))))
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f3965,f7]) ).

fof(f4002,plain,
    ( join(b,meet(sF0,complement(meet(b,sF0)))) = join(b,join(meet(sF0,complement(meet(b,sF0))),sF0))
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f3989,f79]) ).

fof(f4012,plain,
    ( join(b,meet(sF0,complement(meet(b,sF0)))) = join(b,join(sF0,meet(sF0,complement(meet(b,sF0)))))
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f4002,f3788]) ).

fof(f4020,plain,
    ( one = join(b,meet(sF0,complement(meet(b,sF0))))
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f4012,f623]) ).

fof(f4839,definition,
    ( spl3_25
  <=> one = join(b,meet(sF0,complement(meet(b,sF0)))) ),
    introduced(definition,[new_symbols(definition,[spl3_25])],[avatar_definition]) ).

fof(f4841,plain,
    ( one = join(b,meet(sF0,complement(meet(b,sF0))))
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f4839]) ).

fof(f4842,plain,
    ( spl3_25
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f4020,f3500,f606,f4839]) ).

fof(f4846,plain,
    ( meet(sF0,complement(meet(b,sF0))) = ifeq(one,one,ifeq(meet(b,meet(sF0,complement(meet(b,sF0)))),zero,complement(b),meet(sF0,complement(meet(b,sF0)))),meet(sF0,complement(meet(b,sF0))))
    | ~ spl3_25 ),
    inference(superposition,[],[f12,f4841]) ).

fof(f4881,plain,
    ( meet(sF0,complement(meet(b,sF0))) = ifeq(meet(b,meet(sF0,complement(meet(b,sF0)))),zero,complement(b),meet(sF0,complement(meet(b,sF0))))
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4846,f1]) ).

fof(f4895,plain,
    ( meet(sF0,complement(meet(b,sF0))) = ifeq(meet(b,meet(sF0,complement(meet(b,sF0)))),zero,sF1,meet(sF0,complement(meet(b,sF0))))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4881,f61]) ).

fof(f4903,plain,
    ( meet(sF0,complement(meet(b,sF0))) = ifeq(zero,zero,sF1,meet(sF0,complement(meet(b,sF0))))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4895,f201]) ).

fof(f4910,plain,
    ( sF1 = meet(sF0,complement(meet(b,sF0)))
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f4903,f1]) ).

fof(f4924,definition,
    ( spl3_26
  <=> sF1 = meet(sF0,complement(meet(b,sF0))) ),
    introduced(definition,[new_symbols(definition,[spl3_26])],[avatar_definition]) ).

fof(f4926,plain,
    ( sF1 = meet(sF0,complement(meet(b,sF0)))
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f4924]) ).

fof(f4927,plain,
    ( spl3_26
    | ~ spl3_6
    | ~ spl3_25 ),
    inference(avatar_split_clause,[],[f4910,f4839,f59,f4924]) ).

fof(f4929,plain,
    ( sF0 = join(sF0,sF1)
    | ~ spl3_26 ),
    inference(superposition,[],[f5,f4926]) ).

fof(f4969,plain,
    ( sF0 = join(sF1,sF0)
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4929,f7]) ).

fof(f4989,plain,
    ( sF0 = sF2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_demodulation,[],[f4969,f53]) ).

fof(f5042,plain,
    ( $false
    | spl3_2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(forward_subsumption_resolution,[],[f4989,f36]) ).

fof(f5043,plain,
    ( spl3_2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f5042]) ).

cnf(s1,plain,
    spl3_1,
    inference(sat_conversion,[],[f31]) ).

cnf(s2,plain,
    ~ spl3_2,
    inference(sat_conversion,[],[f37]) ).

cnf(s4,plain,
    spl3_4,
    inference(sat_conversion,[],[f49]) ).

cnf(s5,plain,
    spl3_5,
    inference(sat_conversion,[],[f54]) ).

cnf(s6,plain,
    spl3_6,
    inference(sat_conversion,[],[f62]) ).

cnf(s7,plain,
    ( ~ spl3_1
    | ~ spl3_4
    | spl3_7 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s16,plain,
    ( ~ spl3_7
    | spl3_16 ),
    inference(sat_conversion,[],[f3503]) ).

cnf(s25,plain,
    ( ~ spl3_7
    | ~ spl3_16
    | spl3_25 ),
    inference(sat_conversion,[],[f4842]) ).

cnf(s26,plain,
    ( ~ spl3_6
    | ~ spl3_25
    | spl3_26 ),
    inference(sat_conversion,[],[f4927]) ).

cnf(s27,plain,
    ( spl3_2
    | ~ spl3_5
    | ~ spl3_26 ),
    inference(sat_conversion,[],[f5043]) ).

cnf(s38,plain,
    ~ spl3_26,
    inference(rat,[],[s27,s5,s2]) ).

cnf(s39,plain,
    ~ spl3_25,
    inference(rat,[],[s26,s6,s38]) ).

cnf(s40,plain,
    spl3_7,
    inference(rat,[],[s7,s4,s1]) ).

cnf(s42,plain,
    ~ spl3_16,
    inference(rat,[],[s25,s39,s40]) ).

cnf(s45,plain,
    $false,
    inference(rat,[],[s16,s42,s40]) ).

fof(f5094,plain,
    $false,
    inference(avatar_sat_refutation,[],[s45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT223-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.42  % Computer : n005.cluster.edu
% 0.18/0.42  % Model    : x86_64 x86_64
% 0.18/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42  % Memory   : 8046.5625MB
% 0.18/0.42  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Sun Sep 27 14:07:02 UTC 2026
% 0.18/0.43  % CPUTime  : 
% 0.18/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48  Running first-order theorem proving
% 0.23/0.48  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
% 9.94/2.38  % (4020169)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.94/2.38  % (4020176)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=434504274:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.94/2.38  % (4020178)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1636723971:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.94/2.38  % (4020177)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3791144477:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.94/2.38  % (4020181)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2486097707:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.94/2.38  % (4020179)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1437728143:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.94/2.38  % (4020180)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2869171946:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.94/2.38  % (4020182)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3180749126:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.94/2.38  % (4020179)Instruction limit reached! 
% 9.94/2.38  % (4020179)------------------------------
% 9.94/2.38  % (4020179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.38  % (4020179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.38  % (4020179)CaDiCaL version: 2.1.3
% 9.94/2.38  % (4020179)Termination reason: Instruction limit
% 9.94/2.38  % (4020179)Termination phase: Saturation
% 9.94/2.38  % (4020179)Time elapsed: 0.138 s
% 9.94/2.38  % (4020179)Peak memory usage: 89 MB
% 9.94/2.38  % (4020179)Instructions burned: 137 (million)
% 9.94/2.38  % (4020180)Instruction limit reached! 
% 9.94/2.38  % (4020180)------------------------------
% 9.94/2.38  % (4020180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.38  % (4020180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.38  % (4020180)CaDiCaL version: 2.1.3
% 9.94/2.38  % (4020180)Termination reason: Instruction limit
% 9.94/2.38  % (4020180)Termination phase: Saturation
% 9.94/2.38  % (4020180)Time elapsed: 0.180 s
% 9.94/2.38  % (4020180)Peak memory usage: 89 MB
% 9.94/2.38  % (4020180)Instructions burned: 181 (million)
% 9.94/2.38  % (4020181)Instruction limit reached! 
% 9.94/2.38  % (4020181)------------------------------
% 9.94/2.38  % (4020181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.38  % (4020181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.38  % (4020181)CaDiCaL version: 2.1.3
% 9.94/2.38  % (4020181)Termination reason: Instruction limit
% 9.94/2.38  % (4020181)Termination phase: Saturation
% 9.94/2.38  % (4020181)Time elapsed: 0.262 s
% 9.94/2.38  % (4020181)Peak memory usage: 91 MB
% 9.94/2.38  % (4020181)Instructions burned: 258 (million)
% 9.94/2.38  % (4020190)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=149732261:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 9.94/2.38  % (4020191)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4073528307:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 9.94/2.38  % (4020192)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1399870411:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 9.94/2.38  % (4020192)Instruction limit reached! 
% 9.94/2.38  % (4020192)------------------------------
% 9.94/2.38  % (4020192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.38  % (4020192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.38  % (4020192)CaDiCaL version: 2.1.3
% 9.94/2.38  % (4020192)Termination reason: Instruction limit
% 9.94/2.38  % (4020192)Termination phase: Saturation
% 9.94/2.38  % (4020192)Time elapsed: 0.177 s
% 9.94/2.38  % (4020192)Peak memory usage: 92 MB
% 9.94/2.38  % (4020192)Instructions burned: 216 (million)
% 9.94/2.38  % (4020176)First to succeed.
% 9.94/2.38  % (4020176)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4020169"
% 9.94/2.38  % (4020196)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1972617818:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 9.94/2.38  % (4020182)Instruction limit reached! 
% 9.94/2.38  % (4020182)------------------------------
% 9.94/2.38  % (4020182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.38  % (4020182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.38  % (4020182)CaDiCaL version: 2.1.3
% 9.94/2.38  % (4020182)Termination reason: Instruction limit
% 9.94/2.38  % (4020182)Termination phase: Saturation
% 9.94/2.38  % (4020182)Time elapsed: 1.056 s
% 9.94/2.38  % (4020182)Peak memory usage: 99 MB
% 9.94/2.38  % (4020182)Instructions burned: 1187 (million)
% 9.94/2.38  % (4020176)Refutation found. Thanks to Tanya!
% 9.94/2.38  % SZS status Unsatisfiable for theBenchmark
% 9.94/2.38  % SZS output start Proof for theBenchmark
% See solution above
% 10.64/2.60  % (4020176)------------------------------
% 10.64/2.60  % (4020176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/2.60  % (4020176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/2.60  % (4020176)CaDiCaL version: 2.1.3
% 10.64/2.60  % (4020176)Termination reason: Refutation
% 10.64/2.60  % (4020176)Time elapsed: 0.944 s
% 10.64/2.60  % (4020176)Peak memory usage: 135 MB
% 10.64/2.60  % (4020176)Instructions burned: 1522 (million)
% 10.64/2.60  % (4020176)------------------------------
% 10.64/2.60  % (4020176)------------------------------
% 10.64/2.60  % (4020169)Success in time 1.408 s
% 10.64/2.60  % Vampire exiting
%------------------------------------------------------------------------------