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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : HEN010-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 10:19:10 AM UTC 2026

% Result   : Unsatisfiable 10.46s 2.38s
% Output   : Refutation 11.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   76 (  34 unt;   3 def)
%            Number of atoms       :  144 ( 143 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  139 (  71   ~;  68   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :  152 ( 152   !;   0   ?)

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

fof(f2,axiom,
    ! [X2,X0,X1] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).

fof(f3,plain,
    ! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    inference(reorient_equations,[],[f2]) ).

fof(f4,axiom,
    ! [X0] : divide(zero,X0) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f5,plain,
    ! [X0] : zero = divide(zero,X0),
    inference(reorient_equations,[],[f4]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | divide(X1,X0) != zero
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).

fof(f7,plain,
    ! [X0,X1] :
      ( zero != divide(X1,X0)
      | divide(X0,X1) != zero
      | X0 = X1 ),
    inference(reorient_equations,[],[f6]) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( divide(X0,X1) != zero
      | divide(X1,X2) != zero
      | divide(X0,X2) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( zero = divide(X0,X2)
      | zero != divide(X1,X2)
      | divide(X0,X1) != zero ),
    inference(reorient_equations,[],[f10]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( divide(divide(X0,X1),X2) != zero
      | divide(divide(X0,X2),X1) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).

fof(f13,plain,
    ! [X2,X0,X1] :
      ( zero = divide(divide(X0,X2),X1)
      | zero != divide(divide(X0,X1),X2) ),
    inference(reorient_equations,[],[f12]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( divide(X0,X1) != zero
      | divide(divide(X0,X2),divide(X1,X2)) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( zero = divide(divide(X0,X2),divide(X1,X2))
      | divide(X0,X1) != zero ),
    inference(reorient_equations,[],[f14]) ).

fof(f16,negated_conjecture,
    divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f17,definition,
    sF0 = divide(identity,a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f18,plain,
    divide(identity,a) = sF0,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF1 = divide(identity,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f20,plain,
    divide(identity,sF0) = sF1,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF2 = divide(sF0,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f22,plain,
    divide(sF0,sF1) = sF2,
    inference(reorient_equations,[],[f21]) ).

fof(f23,plain,
    sF0 != sF2,
    inference(definition_folding,[],[f16,f22,f20,f18,f18,f18]) ).

fof(f24,plain,
    divide(identity,a) != sF2,
    inference(backward_demodulation,[],[f23,f18]) ).

fof(f25,plain,
    divide(identity,divide(identity,a)) = sF1,
    inference(forward_demodulation,[],[f20,f18]) ).

fof(f26,plain,
    sF2 = divide(divide(identity,a),sF1),
    inference(forward_demodulation,[],[f22,f18]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | zero != divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))
      | divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
    inference(superposition,[],[f7,f3]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))
      | divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
    inference(trivial_inequality_removal,[],[f49]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | zero != divide(divide(X2,X1),divide(X0,X1))
      | divide(X0,X1) = divide(X2,X1)
      | zero != divide(X0,X2) ),
    inference(superposition,[],[f7,f15]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(X2,X1),divide(X0,X1))
      | divide(X0,X1) = divide(X2,X1)
      | zero != divide(X0,X2) ),
    inference(trivial_inequality_removal,[],[f91]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( zero != divide(zero,divide(divide(X0,X0),divide(X1,X0)))
      | zero = divide(divide(X0,X0),divide(X1,X0)) ),
    inference(superposition,[],[f50,f1]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( zero != zero
      | zero != divide(X0,divide(X0,X1))
      | divide(X0,X1) = X0 ),
    inference(superposition,[],[f7,f1]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))
      | divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(superposition,[],[f50,f1]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(zero,X2),divide(divide(divide(X0,X1),X2),divide(X0,X2)))
      | divide(zero,X2) = divide(divide(divide(X0,X1),X2),divide(X0,X2)) ),
    inference(superposition,[],[f50,f1]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( zero != divide(X0,divide(X0,X1))
      | divide(X0,X1) = X0 ),
    inference(trivial_inequality_removal,[],[f170]) ).

fof(f177,plain,
    ! [X2,X0,X1] :
      ( zero != divide(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))
      | divide(zero,X2) = divide(divide(divide(X0,X1),X2),divide(X0,X2)) ),
    inference(forward_demodulation,[],[f175,f5]) ).

fof(f181,plain,
    ! [X0,X1] : zero = divide(divide(X0,X0),divide(X1,X0)),
    inference(forward_subsumption_resolution,[],[f163,f5]) ).

fof(f182,plain,
    ! [X2,X0,X1] : divide(zero,X2) = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
    inference(forward_subsumption_resolution,[],[f177,f5]) ).

fof(f185,plain,
    ! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
    inference(forward_demodulation,[],[f182,f5]) ).

fof(f334,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | zero != divide(X1,X0)
      | X0 = X1
      | zero != divide(X2,X1)
      | zero != divide(X0,X2) ),
    inference(superposition,[],[f7,f11]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( zero != divide(X2,X1)
      | X0 = X1
      | zero != divide(X1,X0)
      | zero != divide(X0,X2) ),
    inference(trivial_inequality_removal,[],[f334]) ).

fof(f443,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | X0 = X2
      | zero != divide(X0,X2)
      | zero != divide(X2,divide(X0,X1)) ),
    inference(superposition,[],[f355,f1]) ).

fof(f451,plain,
    ! [X2,X0,X1] :
      ( zero != divide(X2,divide(X0,X1))
      | zero != divide(X0,X2)
      | X0 = X2 ),
    inference(trivial_inequality_removal,[],[f443]) ).

fof(f530,plain,
    ! [X2,X0,X1] :
      ( zero != divide(zero,divide(X2,X0))
      | zero = divide(X2,X0)
      | zero != divide(X2,divide(X0,X1)) ),
    inference(superposition,[],[f92,f1]) ).

fof(f564,plain,
    ! [X2,X0,X1] :
      ( zero = divide(X2,X0)
      | zero != divide(X2,divide(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f530,f5]) ).

fof(f652,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | zero != divide(X2,divide(X0,X1))
      | divide(X0,X1) = X2
      | zero != divide(divide(X0,X2),X1) ),
    inference(superposition,[],[f7,f13]) ).

fof(f666,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(X0,X2),X1)
      | divide(X0,X1) = X2
      | zero != divide(X2,divide(X0,X1)) ),
    inference(trivial_inequality_removal,[],[f652]) ).

fof(f740,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | divide(X0,X1) = divide(divide(X0,X1),X2)
      | zero != divide(divide(X0,divide(divide(X0,X1),X2)),X1) ),
    inference(superposition,[],[f176,f13]) ).

fof(f741,plain,
    ! [X0] :
      ( zero != zero
      | divide(X0,X0) = divide(divide(X0,X0),X0) ),
    inference(superposition,[],[f176,f181]) ).

fof(f745,plain,
    ! [X0] : divide(X0,X0) = divide(divide(X0,X0),X0),
    inference(trivial_inequality_removal,[],[f741]) ).

fof(f746,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(X0,divide(divide(X0,X1),X2)),X1)
      | divide(X0,X1) = divide(divide(X0,X1),X2) ),
    inference(trivial_inequality_removal,[],[f740]) ).

fof(f749,plain,
    ! [X0] : zero = divide(X0,X0),
    inference(forward_demodulation,[],[f745,f1]) ).

fof(f793,plain,
    ! [X0,X1] :
      ( zero != divide(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))
      | zero = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) ),
    inference(superposition,[],[f50,f749]) ).

fof(f803,plain,
    ! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
    inference(forward_subsumption_resolution,[],[f793,f5]) ).

fof(f1070,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | zero != divide(divide(X0,X2),divide(divide(X0,X1),divide(X2,X1)))
      | divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2) ),
    inference(superposition,[],[f451,f3]) ).

fof(f1075,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(X0,X2),divide(divide(X0,X1),divide(X2,X1)))
      | divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2) ),
    inference(trivial_inequality_removal,[],[f1070]) ).

fof(f1532,plain,
    ! [X0,X1] :
      ( zero != zero
      | divide(X0,divide(X0,X1)) = divide(X1,divide(X0,X1))
      | zero != divide(X1,X0) ),
    inference(superposition,[],[f92,f803]) ).

fof(f1537,plain,
    ! [X0,X1] :
      ( zero != zero
      | divide(X0,X1) = divide(X0,divide(X1,divide(X0,X1)))
      | zero != divide(divide(X0,X1),divide(X0,divide(X1,divide(X0,X1)))) ),
    inference(superposition,[],[f666,f803]) ).

fof(f1574,plain,
    ! [X0,X1] :
      ( divide(X0,X1) = divide(X0,divide(X1,divide(X0,X1)))
      | zero != divide(divide(X0,X1),divide(X0,divide(X1,divide(X0,X1)))) ),
    inference(trivial_inequality_removal,[],[f1537]) ).

fof(f1576,plain,
    ! [X0,X1] :
      ( divide(X0,divide(X0,X1)) = divide(X1,divide(X0,X1))
      | zero != divide(X1,X0) ),
    inference(trivial_inequality_removal,[],[f1532]) ).

fof(f1673,plain,
    ! [X0,X1] :
      ( zero != divide(divide(X0,X0),divide(divide(X1,X0),divide(X0,X0)))
      | divide(X1,X0) = divide(divide(X1,X0),divide(X0,X0))
      | zero != divide(divide(X0,X0),divide(X1,X0)) ),
    inference(superposition,[],[f1075,f1576]) ).

fof(f1750,plain,
    ! [X0,X1] :
      ( zero != divide(divide(X0,X0),divide(divide(X1,X0),divide(X0,X0)))
      | divide(X1,X0) = divide(divide(X1,X0),divide(X0,X0)) ),
    inference(forward_subsumption_resolution,[],[f1673,f564]) ).

fof(f1768,plain,
    ! [X0,X1] :
      ( zero != divide(zero,divide(divide(X1,X0),zero))
      | divide(X1,X0) = divide(divide(X1,X0),divide(X0,X0)) ),
    inference(forward_demodulation,[],[f1750,f749]) ).

fof(f1776,plain,
    ! [X0,X1] : divide(X1,X0) = divide(divide(X1,X0),divide(X0,X0)),
    inference(forward_subsumption_resolution,[],[f1768,f5]) ).

fof(f1779,plain,
    ! [X0,X1] : divide(X1,X0) = divide(divide(X1,X0),zero),
    inference(forward_demodulation,[],[f1776,f749]) ).

fof(f1785,plain,
    ! [X2,X0,X1] :
      ( zero != divide(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))
      | divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(backward_demodulation,[],[f174,f1779]) ).

fof(f1861,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1),
    inference(forward_subsumption_resolution,[],[f1785,f185]) ).

fof(f1871,plain,
    ! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1),
    inference(forward_demodulation,[],[f1861,f1779]) ).

fof(f1925,plain,
    ! [X0,X1] : divide(zero,X1) = divide(divide(X0,divide(X0,X1)),X1),
    inference(superposition,[],[f1871,f803]) ).

fof(f1948,plain,
    ! [X2,X0,X1] : zero = divide(divide(X0,X1),divide(X0,divide(X1,X2))),
    inference(superposition,[],[f1,f1871]) ).

fof(f1988,plain,
    ! [X0,X1] :
      ( zero != zero
      | divide(X0,X1) = divide(X0,divide(X1,divide(X0,X1))) ),
    inference(backward_demodulation,[],[f1574,f1948]) ).

fof(f1989,plain,
    ! [X0,X1] : divide(X0,X1) = divide(X0,divide(X1,divide(X0,X1))),
    inference(trivial_inequality_removal,[],[f1988]) ).

fof(f1996,plain,
    ! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),X1),
    inference(forward_demodulation,[],[f1925,f5]) ).

fof(f2058,plain,
    ! [X0,X1] :
      ( zero != divide(divide(X0,divide(X0,X1)),X1)
      | divide(X0,X1) = divide(divide(X0,X1),divide(X0,divide(X0,X1))) ),
    inference(superposition,[],[f746,f1989]) ).

fof(f2109,plain,
    ! [X0,X1] : divide(X0,X1) = divide(divide(X0,X1),divide(X0,divide(X0,X1))),
    inference(forward_subsumption_resolution,[],[f2058,f1996]) ).

fof(f2217,plain,
    divide(identity,a) = divide(divide(identity,a),sF1),
    inference(superposition,[],[f2109,f25]) ).

fof(f2274,plain,
    divide(identity,a) = sF2,
    inference(forward_demodulation,[],[f2217,f26]) ).

fof(f2286,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2274,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HEN010-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n009.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 10:51:14 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 10.46/2.38  % (1857734)Input is clausal, will run a generic CNF schedule.
% 10.46/2.38  % (1857841)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=820644901:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.46/2.38  % (1857846)dis-21_1_sil=8000:lcm=predicate:random_seed=4012496703: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)
% 10.46/2.38  % (1857840)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=4046416046:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.46/2.38  % (1857845)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3533661539:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.46/2.38  % (1857844)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3074534522:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.46/2.38  % (1857842)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1932989818:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.46/2.38  % (1857843)lrs+10_1_sil=8000:sp=occurrence:random_seed=369495481:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.46/2.38  % (1857843)Instruction limit reached! 
% 10.46/2.38  % (1857843)------------------------------
% 10.46/2.38  % (1857843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857843)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857843)Termination reason: Instruction limit
% 10.46/2.38  % (1857843)Termination phase: Saturation
% 10.46/2.38  % (1857843)Time elapsed: 0.064 s
% 10.46/2.38  % (1857843)Peak memory usage: 89 MB
% 10.46/2.38  % (1857843)Instructions burned: 109 (million)
% 10.46/2.38  % (1857844)Instruction limit reached! 
% 10.46/2.38  % (1857844)------------------------------
% 10.46/2.38  % (1857844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857844)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857844)Termination reason: Instruction limit
% 10.46/2.38  % (1857844)Termination phase: Saturation
% 10.46/2.38  % (1857844)Time elapsed: 0.068 s
% 10.46/2.38  % (1857844)Peak memory usage: 88 MB
% 10.46/2.38  % (1857844)Instructions burned: 116 (million)
% 10.46/2.38  % (1857846)Instruction limit reached! 
% 10.46/2.38  % (1857846)------------------------------
% 10.46/2.38  % (1857846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857846)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857846)Termination reason: Instruction limit
% 10.46/2.38  % (1857846)Termination phase: Saturation
% 10.46/2.38  % (1857846)Time elapsed: 0.079 s
% 10.46/2.38  % (1857846)Peak memory usage: 89 MB
% 10.46/2.38  % (1857846)Instructions burned: 118 (million)
% 10.46/2.38  % (1857845)Instruction limit reached! 
% 10.46/2.38  % (1857845)------------------------------
% 10.46/2.38  % (1857845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857845)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857845)Termination reason: Instruction limit
% 10.46/2.38  % (1857845)Termination phase: Saturation
% 10.46/2.38  % (1857845)Time elapsed: 0.099 s
% 10.46/2.38  % (1857845)Peak memory usage: 89 MB
% 10.46/2.38  % (1857845)Instructions burned: 181 (million)
% 10.46/2.38  % (1857869)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3964313585:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.46/2.38  % (1857868)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2889006306: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)
% 10.46/2.38  % (1857870)lrs+10_64_to=lpo:sil=8000:random_seed=3075665761:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.46/2.38  % (1857867)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=4001872923:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.46/2.38  % (1857867)Refutation not found, incomplete strategy
% 10.46/2.38  % (1857867)------------------------------
% 10.46/2.38  % (1857867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857867)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857867)Termination reason: Refutation not found, incomplete strategy
% 10.46/2.38  % (1857867)Time elapsed: 0.002 s
% 10.46/2.38  % (1857867)Peak memory usage: 87 MB
% 10.46/2.38  % (1857870)Instruction limit reached! 
% 10.46/2.38  % (1857870)------------------------------
% 10.46/2.38  % (1857870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857870)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857870)Termination reason: Instruction limit
% 10.46/2.38  % (1857870)Termination phase: Saturation
% 10.46/2.38  % (1857870)Time elapsed: 0.069 s
% 10.46/2.38  % (1857870)Peak memory usage: 88 MB
% 10.46/2.38  % (1857870)Instructions burned: 128 (million)
% 10.46/2.38  % (1857868)Instruction limit reached! 
% 10.46/2.38  % (1857868)------------------------------
% 10.46/2.38  % (1857868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857868)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857868)Termination reason: Instruction limit
% 10.46/2.38  % (1857868)Termination phase: Saturation
% 10.46/2.38  % (1857868)Time elapsed: 0.108 s
% 10.46/2.38  % (1857868)Peak memory usage: 89 MB
% 10.46/2.38  % (1857868)Instructions burned: 189 (million)
% 10.46/2.38  % (1857869)Instruction limit reached! 
% 10.46/2.38  % (1857869)------------------------------
% 10.46/2.38  % (1857869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857869)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857869)Termination reason: Instruction limit
% 10.46/2.38  % (1857869)Termination phase: Saturation
% 10.46/2.38  % (1857869)Time elapsed: 0.121 s
% 10.46/2.38  % (1857869)Peak memory usage: 90 MB
% 10.46/2.38  % (1857869)Instructions burned: 221 (million)
% 10.46/2.38  % (1857875)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=479097217:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.46/2.38  % (1857876)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3529918480:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.46/2.38  % (1857877)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2331279395:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.46/2.38  % (1857875)Instruction limit reached! 
% 10.46/2.38  % (1857875)------------------------------
% 10.46/2.38  % (1857875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857875)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857875)Termination reason: Instruction limit
% 10.46/2.38  % (1857875)Termination phase: Saturation
% 10.46/2.38  % (1857875)Time elapsed: 0.059 s
% 10.46/2.38  % (1857875)Peak memory usage: 89 MB
% 10.46/2.38  % (1857875)Instructions burned: 196 (million)
% 10.46/2.38  % (1857876)Instruction limit reached! 
% 10.46/2.38  % (1857876)------------------------------
% 10.46/2.38  % (1857876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857876)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857876)Termination reason: Instruction limit
% 10.46/2.38  % (1857876)Termination phase: Saturation
% 10.46/2.38  % (1857876)Time elapsed: 0.090 s
% 10.46/2.38  % (1857876)Peak memory usage: 90 MB
% 10.46/2.38  % (1857876)Instructions burned: 158 (million)
% 10.46/2.38  % (1857867)------------------------------
% 10.46/2.38  % (1857867)------------------------------
% 10.46/2.38  % (1857881)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=1167508627:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.46/2.38  % (1857881)Instruction limit reached! 
% 10.46/2.38  % (1857881)------------------------------
% 10.46/2.38  % (1857881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857881)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857881)Termination reason: Instruction limit
% 10.46/2.38  % (1857881)Termination phase: Saturation
% 10.46/2.38  % (1857881)Time elapsed: 0.038 s
% 10.46/2.38  % (1857881)Peak memory usage: 88 MB
% 10.46/2.38  % (1857881)Instructions burned: 108 (million)
% 10.46/2.38  % (1857883)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4173413804:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.46/2.38  % (1857882)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3122696558:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 10.46/2.38  % (1857882)Refutation not found, incomplete strategy
% 10.46/2.38  % (1857882)------------------------------
% 10.46/2.38  % (1857882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38  % (1857882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38  % (1857882)CaDiCaL version: 2.1.3
% 10.46/2.38  % (1857882)Termination reason: Refutation not found, incomplete strategy
% 10.46/2.38  % (1857882)Time elapsed: 0.002 s
% 10.46/2.38  % (1857882)Peak memory usage: 87 MB
% 10.46/2.38  % (1857893)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=17319465:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.46/2.38  % (1857842)First to succeed.
% 10.46/2.38  % (1857842)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1857734"
% 10.46/2.38  % (1857883)Also succeeded, but the first one will report.
% 10.46/2.38  % (1857882)------------------------------
% 10.46/2.38  % (1857882)------------------------------
% 10.46/2.38  % (1857908)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3002678429:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 10.46/2.38  % (1857842)Refutation found. Thanks to Tanya!
% 10.46/2.38  % SZS status Unsatisfiable for theBenchmark
% 10.46/2.38  % SZS output start Proof for theBenchmark
% See solution above
% 11.42/2.63  % (1857842)------------------------------
% 11.42/2.63  % (1857842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.63  % (1857842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.63  % (1857842)CaDiCaL version: 2.1.3
% 11.42/2.63  % (1857842)Termination reason: Refutation
% 11.42/2.63  % (1857842)Time elapsed: 0.958 s
% 11.42/2.63  % (1857842)Peak memory usage: 131 MB
% 11.42/2.63  % (1857842)Instructions burned: 1298 (million)
% 11.42/2.63  % (1857842)------------------------------
% 11.42/2.63  % (1857842)------------------------------
% 11.42/2.63  % (1857734)Success in time 1.525 s
% 11.42/2.63  % Vampire exiting
%------------------------------------------------------------------------------