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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM346+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 12:18:23 PM UTC 2026

% Result   : Theorem 22.86s 7.38s
% Output   : Refutation 22.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   49 (  22 unt;   0 def)
%            Number of atoms       :  108 (   6 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  108 (  49   ~;  44   |;   9   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   91 (  90   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).

fof(f4,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).

fof(f5,axiom,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn4) ).

fof(f6,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).

fof(f270,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

fof(f281,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X0,rdn_pos(X2))
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_positive_less(X2,X3) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(f287,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( rdn_translate(X0,rdn_pos(X3))
        & rdn_translate(X1,rdn_pos(X4))
        & rdn_add_with_carry(rdnn(n0),X3,X4,X5)
        & rdn_translate(X2,rdn_pos(X5)) )
     => sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).

fof(f293,axiom,
    ! [X0,X1,X2,X3] :
      ( ( sum(X0,X1,X2)
        & sum(X0,X1,X3) )
     => X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',unique_sum) ).

fof(f297,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
        & rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).

fof(f325,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).

fof(f352,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).

fof(f402,conjecture,
    ! [X0] :
      ( sum(n2,n3,X0)
     => less(n4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n2_n3_greater_n4) ).

fof(f403,negated_conjecture,
    ~ ! [X0] :
        ( sum(n2,n3,X0)
       => less(n4,X0) ),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f413,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(ennf_transformation,[],[f281]) ).

fof(f414,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(flattening,[],[f413]) ).

fof(f423,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(ennf_transformation,[],[f287]) ).

fof(f424,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(flattening,[],[f423]) ).

fof(f435,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ sum(X0,X1,X2)
      | ~ sum(X0,X1,X3) ),
    inference(ennf_transformation,[],[f293]) ).

fof(f436,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ sum(X0,X1,X2)
      | ~ sum(X0,X1,X3) ),
    inference(flattening,[],[f435]) ).

fof(f441,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(ennf_transformation,[],[f297]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(flattening,[],[f441]) ).

fof(f450,plain,
    ? [X0] :
      ( ~ less(n4,X0)
      & sum(n2,n3,X0) ),
    inference(ennf_transformation,[],[f403]) ).

fof(f454,plain,
    ( ~ less(n4,sK0)
    & sum(n2,n3,sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f450]) ).

fof(f457,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(cnf_transformation,[],[f3]) ).

fof(f458,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f4]) ).

fof(f459,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    inference(cnf_transformation,[],[f5]) ).

fof(f460,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f270]) ).

fof(f735,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f414]) ).

fof(f743,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | sum(X0,X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(cnf_transformation,[],[f424]) ).

fof(f749,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X0,X1,X3)
      | ~ sum(X0,X1,X2)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f436]) ).

fof(f754,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
    inference(cnf_transformation,[],[f442]) ).

fof(f782,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    inference(cnf_transformation,[],[f325]) ).

fof(f809,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    inference(cnf_transformation,[],[f352]) ).

fof(f859,plain,
    sum(n2,n3,sK0),
    inference(cnf_transformation,[],[f454]) ).

fof(f860,plain,
    ~ less(n4,sK0),
    inference(cnf_transformation,[],[f454]) ).

fof(f917,plain,
    ! [X0] :
      ( ~ sum(n2,n3,X0)
      | sK0 = X0 ),
    inference(resolution,[],[f749,f859]) ).

fof(f937,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(n4)))
      | less(X0,X1) ),
    inference(resolution,[],[f735,f724]) ).

fof(f1059,plain,
    ! [X0,X1] :
      ( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
      | rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n5)) ),
    inference(resolution,[],[f754,f809]) ).

fof(f1088,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdnn(n4)))
      | less(X0,n5) ),
    inference(resolution,[],[f937,f460]) ).

fof(f1408,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
    inference(resolution,[],[f1059,f782]) ).

fof(f1761,plain,
    less(n4,n5),
    inference(resolution,[],[f1088,f459]) ).

fof(f2219,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(X2,rdn_pos(rdnn(n5)))
      | ~ rdn_translate(X1,rdn_pos(rdnn(n3)))
      | sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
    inference(resolution,[],[f1408,f743]) ).

fof(f4227,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(rdnn(n2)))
      | sum(X1,X0,n5)
      | ~ rdn_translate(X0,rdn_pos(rdnn(n3))) ),
    inference(resolution,[],[f2219,f460]) ).

fof(f8320,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
      | sum(n2,X0,n5) ),
    inference(resolution,[],[f4227,f457]) ).

fof(f19447,plain,
    sum(n2,n3,n5),
    inference(resolution,[],[f8320,f458]) ).

fof(f19674,plain,
    n5 = sK0,
    inference(resolution,[],[f19447,f917]) ).

fof(f19683,plain,
    ~ less(n4,n5),
    inference(superposition,[],[f860,f19674]) ).

fof(f19684,plain,
    $false,
    inference(global_subsumption,[],[f19683,f1761]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM346+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n011.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 19:35:16 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41  Running first-order model finding
% 0.13/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.70/2.56  % (2706611)Will run a generic schedule for satisfiability detection.
% 14.70/2.56  % (2706621)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3158814057:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.70/2.56  % (2706617)% WARNING: option uhcvi not known.
% 14.70/2.56  % (2706616)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1658048136_2999 on theBenchmark for (2999ds/0Mi)
% 14.70/2.56  % (2706617)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1950955410:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.70/2.56  % (2706618)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=128851019:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.70/2.56  % (2706619)dis+10_1_sil=32000:sp=arity:random_seed=2923678591:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.70/2.56  % (2706620)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1336132643:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.70/2.56  % (2706622)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2182563327:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.70/2.56  % (2706621)Instruction limit reached! 
% 14.70/2.56  % (2706621)------------------------------
% 14.70/2.56  % (2706621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.56  % (2706621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.56  % (2706621)CaDiCaL version: 2.1.3
% 14.70/2.56  % (2706621)Termination reason: Instruction limit
% 14.70/2.56  % (2706621)Termination phase: Saturation
% 14.70/2.56  % (2706621)Time elapsed: 0.035 s
% 14.70/2.56  % (2706621)Peak memory usage: 14 MB
% 14.70/2.56  % (2706621)Instructions burned: 135 (million)
% 14.70/2.56  % TRYING [1]
% 14.70/2.56  % TRYING [2]
% 14.70/2.56  % (2706630)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1018297421:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.70/2.56  % (2706619)Instruction limit reached! 
% 14.70/2.56  % (2706619)------------------------------
% 14.70/2.56  % (2706619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.56  % (2706619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.56  % (2706619)CaDiCaL version: 2.1.3
% 14.70/2.56  % (2706619)Termination reason: Instruction limit
% 14.70/2.56  % (2706619)Termination phase: Saturation
% 14.70/2.56  % (2706619)Time elapsed: 0.049 s
% 14.70/2.56  % (2706619)Peak memory usage: 13 MB
% 14.70/2.56  % (2706619)Instructions burned: 103 (million)
% 14.70/2.56  % TRYING [3]
% 14.70/2.56  % TRYING [1]
% 14.70/2.56  % TRYING [2]
% 14.70/2.56  % (2706620)Instruction limit reached! 
% 14.70/2.56  % (2706620)------------------------------
% 14.70/2.56  % (2706620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.56  % (2706620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.56  % (2706620)CaDiCaL version: 2.1.3
% 14.70/2.56  % (2706620)Termination reason: Instruction limit
% 14.70/2.56  % (2706620)Termination phase: Saturation
% 14.70/2.56  % (2706620)Time elapsed: 0.063 s
% 14.70/2.56  % (2706620)Peak memory usage: 13 MB
% 14.70/2.56  % (2706620)Instructions burned: 116 (million)
% 14.70/2.56  % TRYING [3]
% 14.70/2.56  % (2706632)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=699742404:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.70/2.56  % (2706622)Instruction limit reached! 
% 14.70/2.56  % (2706622)------------------------------
% 14.70/2.56  % (2706622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.56  % (2706622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.56  % (2706622)CaDiCaL version: 2.1.3
% 14.70/2.56  % (2706622)Termination reason: Instruction limit
% 14.70/2.56  % (2706622)Termination phase: Saturation
% 14.70/2.56  % (2706622)Time elapsed: 0.077 s
% 14.70/2.56  % (2706622)Peak memory usage: 15 MB
% 14.70/2.56  % (2706622)Instructions burned: 161 (million)
% 14.70/2.56  % (2706633)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1430798683:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.70/2.56  % (2706635)ott-21_1_sil=16000:fs=off:random_seed=2041507055:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.70/2.56  % TRYING [4]
% 14.70/2.56  % TRYING [4]
% 14.70/2.56  % (2706632)Instruction limit reached! 
% 14.70/2.56  % (2706632)------------------------------
% 14.70/2.56  % (2706632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.56  % (2706632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.26/5.47  % (2706632)CaDiCaL version: 2.1.3
% 35.26/5.47  % (2706632)Termination reason: Instruction limit
% 35.26/5.47  % (2706632)Termination phase: Saturation
% 35.26/5.47  % (2706632)Time elapsed: 0.065 s
% 35.26/5.47  % (2706632)Peak memory usage: 14 MB
% 35.26/5.47  % (2706632)Instructions burned: 132 (million)
% 35.26/5.47  % (2706638)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1705954834:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 35.26/5.47  % (2706635)Instruction limit reached! 
% 35.26/5.47  % (2706635)------------------------------
% 35.26/5.47  % (2706635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.26/5.47  % (2706635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.26/5.47  % (2706635)CaDiCaL version: 2.1.3
% 35.26/5.47  % (2706635)Termination reason: Instruction limit
% 35.26/5.47  % (2706635)Termination phase: Saturation
% 35.26/5.47  % (2706635)Time elapsed: 0.081 s
% 35.26/5.47  % (2706635)Peak memory usage: 13 MB
% 35.26/5.47  % (2706635)Instructions burned: 180 (million)
% 35.26/5.47  % (2706630)Instruction limit reached! 
% 35.26/5.47  % (2706630)------------------------------
% 35.26/5.47  % (2706630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.26/5.47  % (2706630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.26/5.47  % (2706630)CaDiCaL version: 2.1.3
% 35.26/5.47  % (2706630)Termination reason: Instruction limit
% 35.26/5.47  % (2706630)Termination phase: Finite model building constraint generation
% 35.26/5.47  % (2706630)Time elapsed: 0.143 s
% 35.26/5.47  % (2706630)Peak memory usage: 38 MB
% 35.26/5.47  % (2706630)Instructions burned: 716 (million)
% 35.26/5.47  % (2706641)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1696115869:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 35.26/5.47  % (2706640)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2246308025:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.26/5.47  % TRYING [1]
% 35.26/5.47  % TRYING [2]
% 35.26/5.47  % TRYING [3]
% 35.26/5.47  % (2706638)Instruction limit reached! 
% 35.26/5.47  % (2706638)------------------------------
% 35.26/5.47  % (2706638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.26/5.47  % (2706638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.26/5.47  % (2706638)CaDiCaL version: 2.1.3
% 35.26/5.47  % (2706638)Termination reason: Instruction limit
% 35.26/5.47  % (2706638)Termination phase: Saturation
% 35.26/5.47  % (2706638)Time elapsed: 0.246 s
% 35.26/5.47  % (2706638)Peak memory usage: 17 MB
% 35.26/5.47  % (2706638)Instructions burned: 477 (million)
% 35.26/5.47  % (2706644)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=865472364:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 35.26/5.47  % TRYING [5]
% 35.26/5.47  % (2706633)Instruction limit reached! 
% 35.26/5.47  % (2706633)------------------------------
% 35.26/5.47  % (2706633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.26/5.47  % (2706633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.26/5.47  % (2706633)CaDiCaL version: 2.1.3
% 35.26/5.47  % (2706633)Termination reason: Instruction limit
% 35.26/5.47  % (2706633)Termination phase: Saturation
% 35.26/5.47  % (2706633)Time elapsed: 0.396 s
% 35.26/5.47  % (2706633)Peak memory usage: 22 MB
% 35.26/5.47  % (2706633)Instructions burned: 685 (million)
% 35.26/5.47  % (2706646)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3525037279:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 35.26/5.47  % TRYING [4]
% 35.26/5.47  % (2706640)Instruction limit reached! 
% 35.26/5.47  % (2706640)------------------------------
% 35.26/5.47  % (2706640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.26/5.47  % (2706640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.26/5.47  % (2706640)CaDiCaL version: 2.1.3
% 35.26/5.47  % (2706640)Termination reason: Instruction limit
% 35.26/5.47  % (2706640)Termination phase: Finite model building constraint generation
% 35.26/5.47  % (2706640)Time elapsed: 0.321 s
% 35.26/5.47  % (2706640)Peak memory usage: 24 MB
% 35.26/5.47  % (2706640)Instructions burned: 866 (million)
% 35.26/5.47  % (2706641)Instruction limit reached! 
% 35.26/5.47  % (2706641)------------------------------
% 35.26/5.47  % (2706641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.26/5.47  % (2706641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706641)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706641)Termination reason: Instruction limit
% 22.86/7.38  % (2706641)Termination phase: Saturation
% 22.86/7.38  % (2706641)Time elapsed: 0.339 s
% 22.86/7.38  % (2706641)Peak memory usage: 34 MB
% 22.86/7.38  % (2706641)Instructions burned: 1181 (million)
% 22.86/7.38  % (2706648)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2997990715:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 22.86/7.38  % (2706649)fmb+10_1_sil=64000:random_seed=162442849:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 22.86/7.38  % TRYING [1]
% 22.86/7.38  % TRYING [2]
% 22.86/7.38  % TRYING [3]
% 22.86/7.38  % TRYING [4]
% 22.86/7.38  % (2706644)Instruction limit reached! 
% 22.86/7.38  % (2706644)------------------------------
% 22.86/7.38  % (2706644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706644)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706644)Termination reason: Instruction limit
% 22.86/7.38  % (2706644)Termination phase: Finite model building constraint generation
% 22.86/7.38  % (2706644)Time elapsed: 0.414 s
% 22.86/7.38  % (2706644)Peak memory usage: 103 MB
% 22.86/7.38  % (2706644)Instructions burned: 891 (million)
% 22.86/7.38  % (2706652)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1583000728:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 22.86/7.38  % (2706646)Instruction limit reached! 
% 22.86/7.38  % (2706646)------------------------------
% 22.86/7.38  % (2706646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706646)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706646)Termination reason: Instruction limit
% 22.86/7.38  % (2706646)Termination phase: Saturation
% 22.86/7.38  % (2706646)Time elapsed: 0.393 s
% 22.86/7.38  % (2706646)Peak memory usage: 20 MB
% 22.86/7.38  % (2706646)Instructions burned: 693 (million)
% 22.86/7.38  % TRYING [20]
% 22.86/7.38  % (2706654)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2625226431:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 22.86/7.38  % (2706648)Instruction limit reached! 
% 22.86/7.38  % (2706648)------------------------------
% 22.86/7.38  % (2706648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706648)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706648)Termination reason: Instruction limit
% 22.86/7.38  % (2706648)Termination phase: Saturation
% 22.86/7.38  % (2706648)Time elapsed: 0.391 s
% 22.86/7.38  % (2706648)Peak memory usage: 24 MB
% 22.86/7.38  % (2706648)Instructions burned: 879 (million)
% 22.86/7.38  % TRYING [8]
% 22.86/7.38  % (2706656)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2868861748:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 22.86/7.38  % (2706654)Instruction limit reached! 
% 22.86/7.38  % (2706654)------------------------------
% 22.86/7.38  % (2706654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706654)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706654)Termination reason: Instruction limit
% 22.86/7.38  % (2706654)Termination phase: Finite model building constraint generation
% 22.86/7.38  % (2706654)Time elapsed: 0.317 s
% 22.86/7.38  % (2706654)Peak memory usage: 68 MB
% 22.86/7.38  % (2706654)Instructions burned: 922 (million)
% 22.86/7.38  % (2706658)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2687284906:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 22.86/7.38  % (2706658)Instruction limit reached! 
% 22.86/7.38  % (2706658)------------------------------
% 22.86/7.38  % (2706658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706658)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706658)Termination reason: Instruction limit
% 22.86/7.38  % (2706658)Termination phase: Saturation
% 22.86/7.38  % (2706658)Time elapsed: 0.782 s
% 22.86/7.38  % (2706658)Peak memory usage: 30 MB
% 22.86/7.38  % (2706658)Instructions burned: 1472 (million)
% 22.86/7.38  % (2706660)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2472823650:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 22.86/7.38  % (2706660)Cannot represent all propositional literals internally
% 22.86/7.38  % (2706660)Refutation not found, incomplete strategy
% 22.86/7.38  % (2706660)------------------------------
% 22.86/7.38  % (2706660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706660)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706660)Termination reason: Refutation not found, incomplete strategy
% 22.86/7.38  % (2706660)Time elapsed: 0.033 s
% 22.86/7.38  % (2706660)Peak memory usage: 12 MB
% 22.86/7.38  % (2706660)Instructions burned: 72 (million)
% 22.86/7.38  % (2706660)------------------------------
% 22.86/7.38  % (2706660)------------------------------
% 22.86/7.38  % (2706662)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1605413648:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 22.86/7.38  % TRYING [6]
% 22.86/7.38  % TRYING [16]
% 22.86/7.38  % TRYING [5]
% 22.86/7.38  % (2706662)Instruction limit reached! 
% 22.86/7.38  % (2706662)------------------------------
% 22.86/7.38  % (2706662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706662)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706662)Termination reason: Instruction limit
% 22.86/7.38  % (2706662)Termination phase: Finite model building constraint generation
% 22.86/7.38  % (2706662)Time elapsed: 0.742 s
% 22.86/7.38  % (2706662)Peak memory usage: 126 MB
% 22.86/7.38  % (2706662)Instructions burned: 2175 (million)
% 22.86/7.38  % (2706664)ott-2_1_sil=16000:newcnf=on:random_seed=1607812787:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 22.86/7.38  % (2706664)Instruction limit reached! 
% 22.86/7.38  % (2706664)------------------------------
% 22.86/7.38  % (2706664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706664)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706664)Termination reason: Instruction limit
% 22.86/7.38  % (2706664)Termination phase: Saturation
% 22.86/7.38  % (2706664)Time elapsed: 0.454 s
% 22.86/7.38  % (2706664)Peak memory usage: 20 MB
% 22.86/7.38  % (2706664)Instructions burned: 870 (million)
% 22.86/7.38  % (2706666)ott+10_1_sil=32000:tgt=ground:random_seed=213319636:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 22.86/7.38  % (2706656)Instruction limit reached! 
% 22.86/7.38  % (2706656)------------------------------
% 22.86/7.38  % (2706656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706656)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706656)Termination reason: Instruction limit
% 22.86/7.38  % (2706656)Termination phase: Saturation
% 22.86/7.38  % (2706656)Time elapsed: 2.460 s
% 22.86/7.38  % (2706656)Peak memory usage: 47 MB
% 22.86/7.38  % (2706656)Instructions burned: 5133 (million)
% 22.86/7.38  % (2706668)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=957662684:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 22.86/7.38  % TRYING [1]
% 22.86/7.38  % TRYING [2]
% 22.86/7.38  % TRYING [3]
% 22.86/7.38  % TRYING [4]
% 22.86/7.38  % TRYING [5]
% 22.86/7.38  % (2706652)Instruction limit reached! 
% 22.86/7.38  % (2706652)------------------------------
% 22.86/7.38  % (2706652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706652)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706652)Termination reason: Instruction limit
% 22.86/7.38  % (2706652)Termination phase: Finite model building constraint generation
% 22.86/7.38  % (2706652)Time elapsed: 3.347 s
% 22.86/7.38  % (2706652)Peak memory usage: 664 MB
% 22.86/7.38  % (2706652)Instructions burned: 9518 (million)
% 22.86/7.38  % (2706670)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2919599968:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 22.86/7.38  % (2706649)Instruction limit reached! 
% 22.86/7.38  % (2706649)------------------------------
% 22.86/7.38  % (2706649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706649)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706649)Termination reason: Instruction limit
% 22.86/7.38  % (2706649)Termination phase: Finite model building SAT solving
% 22.86/7.38  % (2706649)Time elapsed: 4.417 s
% 22.86/7.38  % (2706649)Peak memory usage: 431 MB
% 22.86/7.38  % (2706649)Instructions burned: 22068 (million)
% 22.86/7.38  % (2706672)dis+21_1_sil=32000:sas=cadical:random_seed=2343082999:i=3773:amm=off_2949 on theBenchmark for (2949ds/3773Mi)
% 22.86/7.38  % TRYING [6]
% 22.86/7.38  % (2706670)Instruction limit reached! 
% 22.86/7.38  % (2706670)------------------------------
% 22.86/7.38  % (2706670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706670)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706670)Termination reason: Instruction limit
% 22.86/7.38  % (2706670)Termination phase: Saturation
% 22.86/7.38  % (2706670)Time elapsed: 1.532 s
% 22.86/7.38  % (2706670)Peak memory usage: 30 MB
% 22.86/7.38  % (2706670)Instructions burned: 3514 (million)
% 22.86/7.38  % (2706674)ott+11_1_sil=16000:gs=on:random_seed=4108907172:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2941 on theBenchmark for (2941ds/2251Mi)
% 22.86/7.38  % (2706672)Instruction limit reached! 
% 22.86/7.38  % (2706672)------------------------------
% 22.86/7.38  % (2706672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706672)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706672)Termination reason: Instruction limit
% 22.86/7.38  % (2706672)Termination phase: Saturation
% 22.86/7.38  % (2706672)Time elapsed: 0.937 s
% 22.86/7.38  % (2706672)Peak memory usage: 61 MB
% 22.86/7.38  % (2706672)Instructions burned: 3775 (million)
% 22.86/7.38  % (2706676)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4174462712:fmbsr=1.6:i=67534_2940 on theBenchmark for (2940ds/67534Mi)
% 22.86/7.38  % (2706666)Instruction limit reached! 
% 22.86/7.38  % (2706666)------------------------------
% 22.86/7.38  % (2706666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706666)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706666)Termination reason: Instruction limit
% 22.86/7.38  % (2706666)Termination phase: Saturation
% 22.86/7.38  % (2706666)Time elapsed: 2.715 s
% 22.86/7.38  % (2706666)Peak memory usage: 78 MB
% 22.86/7.38  % (2706666)Instructions burned: 5115 (million)
% 22.86/7.38  % (2706678)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2615053090:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2938 on theBenchmark for (2938ds/4591Mi)
% 22.86/7.38  % TRYING [7]
% 22.86/7.38  % (2706674) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2706611-2706674"...
% 22.86/7.38  % (2706674)...printing done.
% 22.86/7.38  % (2706674)Refutation found. Thanks to Tanya!
% 22.86/7.38  % SZS status Theorem for theBenchmark
% 22.86/7.38  % SZS output start Proof for theBenchmark
% See solution above
% 22.86/7.38  % (2706674)------------------------------
% 22.86/7.38  % (2706674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/7.38  % (2706674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/7.38  % (2706674)CaDiCaL version: 2.1.3
% 22.86/7.38  % (2706674)Termination reason: Refutation
% 22.86/7.38  % (2706674)Time elapsed: 0.932 s
% 22.86/7.38  % (2706674)Peak memory usage: 35 MB
% 22.86/7.38  % (2706674)Instructions burned: 1712 (million)
% 22.86/7.38  % (2706611)Success in time 6.963 s
% 22.86/7.38  % Vampire exiting
%------------------------------------------------------------------------------