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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 12:11:33 PM UTC 2026

% Result   : Unsatisfiable 15.95s 5.14s
% Output   : Refutation 32.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   62 (  23 unt;   3 def)
%            Number of atoms       :  114 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  106 (  54   ~;  51   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   68 (   0 sgn  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X2,X0,X1] :
      ( divides(X0,X1)
      | ~ divides(X0,X2)
      | ~ divides(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divides) ).

fof(f3,axiom,
    ! [X0,X1] : divides(X0,multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operand_divides_product) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( divides(multiply(X0,X1),multiply(X0,X2))
      | ~ divides(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_and_multiply) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( divides(X0,quotient(X1,X2))
      | ~ divides(X2,X1)
      | ~ divides(multiply(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply2) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( divides(quotient(X0,X1),X2)
      | ~ divides(X1,X0)
      | ~ divides(X0,multiply(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply3) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( ~ gcd(X2,X1,X0)
      | divides(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd_divides1) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ gcd(X2,X3,X1)
      | ~ divides(X0,X2)
      | ~ divides(X0,X3)
      | divides(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd1) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( gcd(multiply(X0,X1),multiply(X0,X2),multiply(X0,X3))
      | ~ gcd(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_gcd) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( divides(X0,k(X1,X0,X2))
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | lcm(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcm1) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( divides(X1,k(X1,X0,X2))
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | lcm(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcm2) ).

fof(f18,axiom,
    ! [X2,X0,X1] :
      ( ~ divides(X2,k(X1,X0,X2))
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | lcm(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcm3) ).

fof(f23,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( lcm(X1,X0,X2)
      | ~ lcm(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_lcm) ).

fof(f25,axiom,
    ! [X2,X0,X1] :
      ( gcd(X1,X0,X2)
      | ~ gcd(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_gcd) ).

fof(f26,negated_conjecture,
    gcd(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_gcd_of_a_and_b) ).

fof(f27,negated_conjecture,
    ~ lcm(a,b,quotient(multiply(a,b),c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lcm) ).

fof(f28,definition,
    sF0 = multiply(a,b),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f29,plain,
    multiply(a,b) = sF0,
    inference(reorient_equations,[],[f28]) ).

fof(f30,definition,
    sF1 = quotient(sF0,c),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f31,plain,
    quotient(sF0,c) = sF1,
    inference(reorient_equations,[],[f30]) ).

fof(f32,plain,
    ~ lcm(a,b,sF1),
    inference(definition_folding,[],[f27,f31,f29]) ).

fof(f39,definition,
    ( spl2_1
  <=> divides(c,sF0) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

fof(f40,plain,
    ( divides(c,sF0)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f41,plain,
    ( ~ divides(c,sF0)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f46,plain,
    ! [X0] :
      ( divides(X0,sF1)
      | ~ divides(c,sF0)
      | ~ divides(multiply(X0,c),sF0) ),
    inference(superposition,[],[f7,f31]) ).

fof(f63,plain,
    ! [X0,X1] : divides(X1,multiply(X0,X1)),
    inference(superposition,[],[f3,f23]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1] :
      ( gcd(multiply(X0,X1),multiply(X1,X2),multiply(X1,X3))
      | ~ gcd(X0,X2,X3) ),
    inference(superposition,[],[f15,f23]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( gcd(multiply(X1,X2),multiply(X0,X1),multiply(X1,X3))
      | ~ gcd(X2,X0,X3) ),
    inference(superposition,[],[f15,f23]) ).

fof(f101,plain,
    gcd(b,a,c),
    inference(unit_resulting_resolution,[],[f25,f26]) ).

fof(f106,plain,
    ! [X0] :
      ( divides(sF0,multiply(a,X0))
      | ~ divides(b,X0) ),
    inference(superposition,[],[f4,f29]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( divides(multiply(X0,X1),multiply(X1,X2))
      | ~ divides(X0,X2) ),
    inference(superposition,[],[f4,f23]) ).

fof(f109,plain,
    ! [X0] :
      ( divides(multiply(a,X0),sF0)
      | ~ divides(X0,b) ),
    inference(superposition,[],[f4,f29]) ).

fof(f148,plain,
    divides(c,b),
    inference(unit_resulting_resolution,[],[f9,f26]) ).

fof(f149,plain,
    divides(multiply(a,c),sF0),
    inference(unit_resulting_resolution,[],[f109,f148]) ).

fof(f173,plain,
    ~ lcm(b,a,sF1),
    inference(unit_resulting_resolution,[],[f24,f32]) ).

fof(f201,plain,
    ! [X2,X3,X0,X1] :
      ( gcd(multiply(X2,X1),multiply(X0,X1),multiply(X1,X3))
      | ~ gcd(X2,X0,X3) ),
    inference(superposition,[],[f65,f23]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( gcd(multiply(b,X0),sF0,multiply(b,X1))
      | ~ gcd(X0,a,X1) ),
    inference(superposition,[],[f66,f29]) ).

fof(f323,plain,
    ( ! [X0] : ~ divides(multiply(X0,c),sF0)
    | spl2_1 ),
    inference(unit_resulting_resolution,[],[f2,f63,f41]) ).

fof(f339,plain,
    ( $false
    | spl2_1 ),
    inference(backward_subsumption_resolution,[],[f149,f323]) ).

fof(f340,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f339]) ).

fof(f341,plain,
    ( ! [X0] :
        ( ~ divides(multiply(X0,c),sF0)
        | divides(X0,sF1) )
    | ~ spl2_1 ),
    inference(forward_subsumption_resolution,[],[f46,f40]) ).

fof(f388,plain,
    ( divides(a,sF1)
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f341,f149]) ).

fof(f464,plain,
    gcd(multiply(b,b),sF0,multiply(b,c)),
    inference(unit_resulting_resolution,[],[f210,f101]) ).

fof(f469,plain,
    divides(multiply(b,c),sF0),
    inference(unit_resulting_resolution,[],[f9,f464]) ).

fof(f582,plain,
    ! [X0] :
      ( divides(sF0,multiply(b,X0))
      | ~ divides(a,X0) ),
    inference(superposition,[],[f108,f29]) ).

fof(f645,plain,
    ! [X0] : gcd(multiply(b,X0),multiply(a,X0),multiply(X0,c)),
    inference(unit_resulting_resolution,[],[f201,f101]) ).

fof(f1531,plain,
    ( divides(b,sF1)
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f341,f469]) ).

fof(f1576,plain,
    ( divides(b,k(a,b,sF1))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f16,f388,f173,f1531]) ).

fof(f1578,plain,
    ( divides(a,k(a,b,sF1))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f17,f388,f173,f1531]) ).

fof(f1580,plain,
    ( ~ divides(sF1,k(a,b,sF1))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f18,f388,f173,f1531]) ).

fof(f1602,plain,
    ( divides(sF0,multiply(a,k(a,b,sF1)))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f106,f1576]) ).

fof(f2646,plain,
    ( divides(sF0,multiply(b,k(a,b,sF1)))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f582,f1578]) ).

fof(f2682,plain,
    ( divides(sF0,multiply(k(a,b,sF1),c))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f11,f1602,f645,f2646]) ).

fof(f2690,plain,
    ( divides(sF0,multiply(c,k(a,b,sF1)))
    | ~ spl2_1 ),
    inference(forward_demodulation,[],[f2682,f23]) ).

fof(f6885,plain,
    ( divides(quotient(sF0,c),k(a,b,sF1))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f8,f40,f2690]) ).

fof(f6939,plain,
    ( divides(sF1,k(a,b,sF1))
    | ~ spl2_1 ),
    inference(forward_demodulation,[],[f6885,f31]) ).

fof(f6948,plain,
    ( $false
    | ~ spl2_1 ),
    inference(forward_subsumption_resolution,[],[f6939,f1580]) ).

fof(f6949,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f6948]) ).

cnf(s174,plain,
    spl2_1,
    inference(sat_conversion,[],[f340]) ).

cnf(s2602,plain,
    ~ spl2_1,
    inference(sat_conversion,[],[f6949]) ).

cnf(s2604,plain,
    $false,
    inference(rat,[],[s174,s2602]) ).

fof(f6950,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2604]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n020.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 27 18:40:19 UTC 2026
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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
% 7.84/1.99  % (3675682)Input is clausal, will run a generic CNF schedule.
% 7.84/1.99  % (3675692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2402737297:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.84/1.99  % (3675691)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4285156986:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.84/1.99  % (3675690)lrs+10_1_sil=8000:sp=occurrence:random_seed=1499734053:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.84/1.99  % (3675688)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3536348262:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.84/1.99  % (3675687)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=3324429944:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.84/1.99  % (3675693)dis-21_1_sil=8000:lcm=predicate:random_seed=3608947486: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)
% 7.84/1.99  % (3675689)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2881337887:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.84/1.99  % (3675692)Instruction limit reached! 
% 7.84/1.99  % (3675692)------------------------------
% 7.84/1.99  % (3675692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99  % (3675692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99  % (3675692)CaDiCaL version: 2.1.3
% 7.84/1.99  % (3675692)Termination reason: Instruction limit
% 7.84/1.99  % (3675692)Termination phase: Saturation
% 7.84/1.99  % (3675692)Time elapsed: 0.062 s
% 7.84/1.99  % (3675692)Peak memory usage: 89 MB
% 7.84/1.99  % (3675692)Instructions burned: 180 (million)
% 7.84/1.99  % (3675691)Instruction limit reached! 
% 7.84/1.99  % (3675691)------------------------------
% 7.84/1.99  % (3675691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99  % (3675691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99  % (3675691)CaDiCaL version: 2.1.3
% 7.84/1.99  % (3675691)Termination reason: Instruction limit
% 7.84/1.99  % (3675691)Termination phase: Saturation
% 7.84/1.99  % (3675691)Time elapsed: 0.069 s
% 7.84/1.99  % (3675691)Peak memory usage: 88 MB
% 7.84/1.99  % (3675691)Instructions burned: 115 (million)
% 7.84/1.99  % (3675690)Instruction limit reached! 
% 7.84/1.99  % (3675690)------------------------------
% 7.84/1.99  % (3675690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99  % (3675690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99  % (3675690)CaDiCaL version: 2.1.3
% 7.84/1.99  % (3675690)Termination reason: Instruction limit
% 7.84/1.99  % (3675690)Termination phase: Saturation
% 7.84/1.99  % (3675690)Time elapsed: 0.070 s
% 7.84/1.99  % (3675690)Peak memory usage: 89 MB
% 7.84/1.99  % (3675690)Instructions burned: 108 (million)
% 7.84/1.99  % (3675693)Instruction limit reached! 
% 7.84/1.99  % (3675693)------------------------------
% 7.84/1.99  % (3675693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99  % (3675693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99  % (3675693)CaDiCaL version: 2.1.3
% 7.84/1.99  % (3675693)Termination reason: Instruction limit
% 7.84/1.99  % (3675693)Termination phase: Saturation
% 7.84/1.99  % (3675693)Time elapsed: 0.074 s
% 7.84/1.99  % (3675693)Peak memory usage: 89 MB
% 7.84/1.99  % (3675693)Instructions burned: 117 (million)
% 7.84/1.99  % (3675701)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=2947975801:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.84/1.99  % (3675701)Instruction limit reached! 
% 7.84/1.99  % (3675701)------------------------------
% 7.84/1.99  % (3675701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/1.99  % (3675701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/1.99  % (3675701)CaDiCaL version: 2.1.3
% 7.84/1.99  % (3675701)Termination reason: Instruction limit
% 7.84/1.99  % (3675701)Termination phase: Saturation
% 7.84/1.99  % (3675701)Time elapsed: 0.049 s
% 7.84/1.99  % (3675701)Peak memory usage: 88 MB
% 7.84/1.99  % (3675701)Instructions burned: 144 (million)
% 19.17/3.37  % (3675703)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3699078592:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.17/3.37  % (3675702)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2258002469: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)
% 19.17/3.37  % (3675704)lrs+10_64_to=lpo:sil=8000:random_seed=2053931974:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 19.17/3.37  % (3675704)Instruction limit reached! 
% 19.17/3.37  % (3675704)------------------------------
% 19.17/3.37  % (3675704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.37  % (3675704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.37  % (3675704)CaDiCaL version: 2.1.3
% 19.17/3.37  % (3675704)Termination reason: Instruction limit
% 19.17/3.37  % (3675704)Termination phase: Saturation
% 19.17/3.37  % (3675704)Time elapsed: 0.074 s
% 19.17/3.37  % (3675704)Peak memory usage: 88 MB
% 19.17/3.37  % (3675704)Instructions burned: 127 (million)
% 19.17/3.37  % (3675702)Instruction limit reached! 
% 19.17/3.37  % (3675702)------------------------------
% 19.17/3.37  % (3675702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.37  % (3675702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.37  % (3675702)CaDiCaL version: 2.1.3
% 19.17/3.37  % (3675702)Termination reason: Instruction limit
% 19.17/3.37  % (3675702)Termination phase: Saturation
% 19.17/3.37  % (3675702)Time elapsed: 0.110 s
% 19.17/3.37  % (3675702)Peak memory usage: 90 MB
% 19.17/3.37  % (3675702)Instructions burned: 190 (million)
% 19.17/3.37  % (3675709)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2023944565:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 19.17/3.37  % (3675703)Instruction limit reached! 
% 19.17/3.37  % (3675703)------------------------------
% 19.17/3.37  % (3675703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.37  % (3675703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.37  % (3675703)CaDiCaL version: 2.1.3
% 19.17/3.37  % (3675703)Termination reason: Instruction limit
% 19.17/3.37  % (3675703)Termination phase: Saturation
% 19.17/3.37  % (3675703)Time elapsed: 0.139 s
% 19.17/3.37  % (3675703)Peak memory usage: 89 MB
% 19.17/3.37  % (3675703)Instructions burned: 220 (million)
% 19.17/3.37  % (3675709)Instruction limit reached! 
% 19.17/3.37  % (3675709)------------------------------
% 19.17/3.37  % (3675709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.37  % (3675709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.37  % (3675709)CaDiCaL version: 2.1.3
% 19.17/3.37  % (3675709)Termination reason: Instruction limit
% 19.17/3.37  % (3675709)Termination phase: Saturation
% 19.17/3.37  % (3675709)Time elapsed: 0.064 s
% 19.17/3.37  % (3675709)Peak memory usage: 89 MB
% 19.17/3.37  % (3675709)Instructions burned: 194 (million)
% 19.17/3.37  % (3675710)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1832894906:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 19.17/3.37  % (3675711)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4050540903:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 19.17/3.37  % (3675713)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=3313374584:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.17/3.37  % (3675714)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3167089391:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 19.17/3.37  % (3675714)Instruction limit reached! 
% 19.17/3.37  % (3675714)------------------------------
% 19.17/3.37  % (3675714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.37  % (3675714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.37  % (3675714)CaDiCaL version: 2.1.3
% 19.17/3.37  % (3675714)Termination reason: Instruction limit
% 19.17/3.37  % (3675714)Termination phase: Saturation
% 19.17/3.37  % (3675714)Time elapsed: 0.036 s
% 19.17/3.37  % (3675714)Peak memory usage: 89 MB
% 19.17/3.37  % (3675714)Instructions burned: 107 (million)
% 19.17/3.37  % (3675710)Instruction limit reached! 
% 19.17/3.37  % (3675710)------------------------------
% 19.17/3.37  % (3675710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.13  % (3675710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.13  % (3675710)CaDiCaL version: 2.1.3
% 15.95/5.13  % (3675710)Termination reason: Instruction limit
% 15.95/5.13  % (3675710)Termination phase: Saturation
% 15.95/5.13  % (3675710)Time elapsed: 0.108 s
% 15.95/5.13  % (3675710)Peak memory usage: 90 MB
% 15.95/5.13  % (3675710)Instructions burned: 158 (million)
% 15.95/5.13  % (3675713)Instruction limit reached! 
% 15.95/5.13  % (3675713)------------------------------
% 15.95/5.13  % (3675713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.13  % (3675713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.13  % (3675713)CaDiCaL version: 2.1.3
% 15.95/5.13  % (3675713)Termination reason: Instruction limit
% 15.95/5.13  % (3675713)Termination phase: Saturation
% 15.95/5.13  % (3675713)Time elapsed: 0.062 s
% 15.95/5.13  % (3675713)Peak memory usage: 89 MB
% 15.95/5.13  % (3675713)Instructions burned: 106 (million)
% 15.95/5.13  % (3675719)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=361814246:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 15.95/5.13  % (3675720)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1252197598:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 15.95/5.13  % (3675721)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2415725110:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 15.95/5.13  % (3675719)Instruction limit reached! 
% 15.95/5.13  % (3675719)------------------------------
% 15.95/5.13  % (3675719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.13  % (3675719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.13  % (3675719)CaDiCaL version: 2.1.3
% 15.95/5.13  % (3675719)Termination reason: Instruction limit
% 15.95/5.13  % (3675719)Termination phase: Saturation
% 15.95/5.13  % (3675719)Time elapsed: 0.074 s
% 15.95/5.13  % (3675719)Peak memory usage: 89 MB
% 15.95/5.13  % (3675719)Instructions burned: 243 (million)
% 15.95/5.13  % (3675721)Instruction limit reached! 
% 15.95/5.13  % (3675721)------------------------------
% 15.95/5.13  % (3675721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.13  % (3675721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.13  % (3675721)CaDiCaL version: 2.1.3
% 15.95/5.13  % (3675721)Termination reason: Instruction limit
% 15.95/5.13  % (3675721)Termination phase: Saturation
% 15.95/5.13  % (3675721)Time elapsed: 0.087 s
% 15.95/5.13  % (3675721)Peak memory usage: 89 MB
% 15.95/5.13  % (3675721)Instructions burned: 135 (million)
% 15.95/5.13  % (3675725)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3066383162:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 15.95/5.13  % (3675726)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2146973296:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 15.95/5.13  % (3675725)Instruction limit reached! 
% 15.95/5.13  % (3675725)------------------------------
% 15.95/5.13  % (3675725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.13  % (3675725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675725)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675725)Termination reason: Instruction limit
% 15.95/5.14  % (3675725)Termination phase: Saturation
% 15.95/5.14  % (3675725)Time elapsed: 0.149 s
% 15.95/5.14  % (3675725)Peak memory usage: 95 MB
% 15.95/5.14  % (3675725)Instructions burned: 499 (million)
% 15.95/5.14  % (3675726)Instruction limit reached! 
% 15.95/5.14  % (3675726)------------------------------
% 15.95/5.14  % (3675726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675726)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675726)Termination reason: Instruction limit
% 15.95/5.14  % (3675726)Termination phase: Saturation
% 15.95/5.14  % (3675726)Time elapsed: 0.112 s
% 15.95/5.14  % (3675726)Peak memory usage: 90 MB
% 15.95/5.14  % (3675726)Instructions burned: 191 (million)
% 15.95/5.14  % (3675729)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=119486943:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 15.95/5.14  % (3675729)Instruction limit reached! 
% 15.95/5.14  % (3675729)------------------------------
% 15.95/5.14  % (3675729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675729)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675729)Termination reason: Instruction limit
% 15.95/5.14  % (3675729)Termination phase: Saturation
% 15.95/5.14  % (3675729)Time elapsed: 0.093 s
% 15.95/5.14  % (3675729)Peak memory usage: 90 MB
% 15.95/5.14  % (3675729)Instructions burned: 267 (million)
% 15.95/5.14  % (3675730)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1070281207:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 15.95/5.14  % (3675730)Instruction limit reached! 
% 15.95/5.14  % (3675730)------------------------------
% 15.95/5.14  % (3675730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675730)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675730)Termination reason: Instruction limit
% 15.95/5.14  % (3675730)Termination phase: Saturation
% 15.95/5.14  % (3675730)Time elapsed: 0.111 s
% 15.95/5.14  % (3675730)Peak memory usage: 89 MB
% 15.95/5.14  % (3675730)Instructions burned: 156 (million)
% 15.95/5.14  % (3675733)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1369117317:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 15.95/5.14  % (3675734)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2721826847:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 15.95/5.14  % (3675734)Instruction limit reached! 
% 15.95/5.14  % (3675734)------------------------------
% 15.95/5.14  % (3675734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675734)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675734)Termination reason: Instruction limit
% 15.95/5.14  % (3675734)Termination phase: Saturation
% 15.95/5.14  % (3675734)Time elapsed: 0.279 s
% 15.95/5.14  % (3675734)Peak memory usage: 90 MB
% 15.95/5.14  % (3675734)Instructions burned: 537 (million)
% 15.95/5.14  % (3675737)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=4159963780:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 15.95/5.14  % (3675737)Instruction limit reached! 
% 15.95/5.14  % (3675737)------------------------------
% 15.95/5.14  % (3675737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675737)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675737)Termination reason: Instruction limit
% 15.95/5.14  % (3675737)Termination phase: Saturation
% 15.95/5.14  % (3675737)Time elapsed: 0.102 s
% 15.95/5.14  % (3675737)Peak memory usage: 89 MB
% 15.95/5.14  % (3675737)Instructions burned: 180 (million)
% 15.95/5.14  % (3675739)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1668978891:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 15.95/5.14  % (3675733)Instruction limit reached! 
% 15.95/5.14  % (3675733)------------------------------
% 15.95/5.14  % (3675733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675733)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675733)Termination reason: Instruction limit
% 15.95/5.14  % (3675733)Termination phase: Saturation
% 15.95/5.14  % (3675733)Time elapsed: 1.042 s
% 15.95/5.14  % (3675733)Peak memory usage: 147 MB
% 15.95/5.14  % (3675733)Instructions burned: 3257 (million)
% 15.95/5.14  % (3675741)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3568391797:i=412:gtgl=4:gtg=exists_all_2974 on theBenchmark for (2974ds/412Mi)
% 15.95/5.14  % (3675711)Instruction limit reached! 
% 15.95/5.14  % (3675711)------------------------------
% 15.95/5.14  % (3675711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675711)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675711)Termination reason: Instruction limit
% 15.95/5.14  % (3675711)Termination phase: Saturation
% 15.95/5.14  % (3675711)Time elapsed: 2.144 s
% 15.95/5.14  % (3675711)Peak memory usage: 147 MB
% 15.95/5.14  % (3675711)Instructions burned: 3394 (million)
% 15.95/5.14  % (3675741)Instruction limit reached! 
% 15.95/5.14  % (3675741)------------------------------
% 15.95/5.14  % (3675741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675741)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675741)Termination reason: Instruction limit
% 15.95/5.14  % (3675741)Termination phase: Saturation
% 15.95/5.14  % (3675741)Time elapsed: 0.122 s
% 15.95/5.14  % (3675741)Peak memory usage: 90 MB
% 15.95/5.14  % (3675741)Instructions burned: 414 (million)
% 15.95/5.14  % (3675743)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1200721108:s2pl=no:i=8478:s2at=4:nm=6_2972 on theBenchmark for (2972ds/8478Mi)
% 15.95/5.14  % (3675744)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2051558698:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2971 on theBenchmark for (2971ds/303Mi)
% 15.95/5.14  % (3675744)Instruction limit reached! 
% 15.95/5.14  % (3675744)------------------------------
% 15.95/5.14  % (3675744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675744)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675744)Termination reason: Instruction limit
% 15.95/5.14  % (3675744)Termination phase: Saturation
% 15.95/5.14  % (3675744)Time elapsed: 0.172 s
% 15.95/5.14  % (3675744)Peak memory usage: 93 MB
% 15.95/5.14  % (3675744)Instructions burned: 304 (million)
% 15.95/5.14  % (3675747)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2777653310:st=4:i=720:sd=3:fsr=off:ss=axioms_2968 on theBenchmark for (2968ds/720Mi)
% 15.95/5.14  % (3675747)Instruction limit reached! 
% 15.95/5.14  % (3675747)------------------------------
% 15.95/5.14  % (3675747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675747)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675747)Termination reason: Instruction limit
% 15.95/5.14  % (3675747)Termination phase: Saturation
% 15.95/5.14  % (3675747)Time elapsed: 0.395 s
% 15.95/5.14  % (3675747)Peak memory usage: 95 MB
% 15.95/5.14  % (3675747)Instructions burned: 720 (million)
% 15.95/5.14  % (3675749)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3026253939:i=598:bs=on:bd=preordered:av=off:ss=axioms_2962 on theBenchmark for (2962ds/598Mi)
% 15.95/5.14  % (3675749)Instruction limit reached! 
% 15.95/5.14  % (3675749)------------------------------
% 15.95/5.14  % (3675749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675749)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675749)Termination reason: Instruction limit
% 15.95/5.14  % (3675749)Termination phase: Saturation
% 15.95/5.14  % (3675749)Time elapsed: 0.337 s
% 15.95/5.14  % (3675749)Peak memory usage: 94 MB
% 15.95/5.14  % (3675749)Instructions burned: 598 (million)
% 15.95/5.14  % (3675743)First to succeed.
% 15.95/5.14  % (3675743)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3675682"
% 15.95/5.14  % (3675720)Instruction limit reached! 
% 15.95/5.14  % (3675720)------------------------------
% 15.95/5.14  % (3675720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.95/5.14  % (3675720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.95/5.14  % (3675720)CaDiCaL version: 2.1.3
% 15.95/5.14  % (3675720)Termination reason: Instruction limit
% 15.95/5.14  % (3675720)Termination phase: Saturation
% 15.95/5.14  % (3675720)Time elapsed: 3.479 s
% 15.95/5.14  % (3675720)Peak memory usage: 155 MB
% 15.95/5.14  % (3675720)Instructions burned: 5208 (million)
% 15.95/5.14  % (3675751)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=1569608957:i=2989:sd=3:ss=axioms:sgt=60_2957 on theBenchmark for (2957ds/2989Mi)
% 15.95/5.14  % (3675743)Refutation found. Thanks to Tanya!
% 15.95/5.14  % SZS status Unsatisfiable for theBenchmark
% 15.95/5.14  % SZS output start Proof for theBenchmark
% See solution above
% 32.49/5.33  % (3675743)------------------------------
% 32.49/5.33  % (3675743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.49/5.33  % (3675743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.49/5.33  % (3675743)CaDiCaL version: 2.1.3
% 32.49/5.33  % (3675743)Termination reason: Refutation
% 32.49/5.33  % (3675743)Time elapsed: 1.331 s
% 32.49/5.33  % (3675743)Peak memory usage: 141 MB
% 32.49/5.33  % (3675743)Instructions burned: 2176 (million)
% 32.49/5.33  % (3675743)------------------------------
% 32.49/5.33  % (3675743)------------------------------
% 32.49/5.33  % (3675682)Success in time 4.536 s
% 32.49/5.33  % Vampire exiting
%------------------------------------------------------------------------------