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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SCT131+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 12:37:34 PM UTC 2026

% Result   : Theorem 17.99s 3.26s
% Output   : Refutation 17.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  19   ~;  11   |;   0   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :   31 (  30   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).

fof(f6,axiom,
    ! [X0] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
    <=> hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

fof(f32,axiom,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096Q_A_058_AProf_096) ).

fof(f47,axiom,
    ! [X0] :
      ( c_Arrow__Order__Mirabelle_Ounanimity(X0)
    <=> ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
         => ! [X2,X3] :
              ( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
             => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unanimity__def) ).

fof(f535,conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f536,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(negated_conjecture,[status(cth)],[f535]) ).

fof(f540,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(flattening,[],[f536]) ).

fof(f544,plain,
    ! [X0] :
      ( c_Arrow__Order__Mirabelle_Ounanimity(X0)
     => ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
         => ! [X2,X3] :
              ( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
             => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ) ) ),
    inference(unused_predicate_definition_removal,[],[f47]) ).

fof(f577,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
              | ? [X4] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4))) )
          | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) )
      | ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
    inference(ennf_transformation,[],[f544]) ).

fof(f1022,plain,
    c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    inference(cnf_transformation,[],[f2]) ).

fof(f1026,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
    inference(cnf_transformation,[],[f6]) ).

fof(f1067,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
      | ~ hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f1068,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(X0,X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f1069,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    inference(cnf_transformation,[],[f32]) ).

fof(f1122,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,sK5(X1,X2,X3))))
      | ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f1807,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(cnf_transformation,[],[f540]) ).

fof(f1953,plain,
    ~ hBOOL(hAPP(hAPP(v_F,v_Q____),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____))),
    inference(resolution,[],[f1067,f1807]) ).

fof(f1955,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_member(X0),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(resolution,[],[f1068,f1953]) ).

fof(f30116,plain,
    ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,sK5(v_Q____,v_b____,v_b_H____))))
    | ~ c_Arrow__Order__Mirabelle_Ounanimity(v_F) ),
    inference(resolution,[],[f1122,f1955]) ).

fof(f30211,plain,
    ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,sK5(v_Q____,v_b____,v_b_H____))))
    | ~ c_Arrow__Order__Mirabelle_Ounanimity(v_F) ),
    inference(forward_subsumption_resolution,[],[f30116,f1069]) ).

fof(f30213,plain,
    ~ c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    inference(forward_subsumption_resolution,[],[f30211,f1026]) ).

fof(f30215,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f30213,f1022]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT131+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n004.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 23:46:22 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  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
% 11.27/2.13  % (4007205)Will run a generic schedule for satisfiability detection.
% 11.27/2.13  % (4007212)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2345483923:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.27/2.13  % (4007211)% WARNING: option uhcvi not known.
% 11.27/2.13  % (4007210)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2089067729_2999 on theBenchmark for (2999ds/0Mi)
% 11.27/2.13  % (4007211)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3923194207:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.27/2.13  % (4007213)dis+10_1_sil=32000:sp=arity:random_seed=563696573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.27/2.13  % (4007216)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1209150147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.27/2.13  % (4007214)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3812757158:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.27/2.13  % (4007215)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1158481818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.27/2.13  % (4007213)Instruction limit reached! 
% 11.27/2.13  % (4007213)------------------------------
% 11.27/2.13  % (4007213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.13  % (4007213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.13  % (4007213)CaDiCaL version: 2.1.3
% 11.27/2.13  % (4007213)Termination reason: Instruction limit
% 11.27/2.13  % (4007213)Termination phase: Saturation
% 11.27/2.13  % (4007213)Time elapsed: 0.054 s
% 11.27/2.13  % (4007213)Peak memory usage: 13 MB
% 11.27/2.13  % (4007213)Instructions burned: 103 (million)
% 11.27/2.13  % (4007214)Instruction limit reached! 
% 11.27/2.13  % (4007214)------------------------------
% 11.27/2.13  % (4007214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.13  % (4007214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.13  % (4007214)CaDiCaL version: 2.1.3
% 11.27/2.13  % (4007214)Termination reason: Instruction limit
% 11.27/2.13  % (4007214)Termination phase: Saturation
% 11.27/2.13  % (4007214)Time elapsed: 0.055 s
% 11.27/2.13  % (4007214)Peak memory usage: 13 MB
% 11.27/2.13  % (4007214)Instructions burned: 117 (million)
% 11.27/2.13  % (4007215)Instruction limit reached! 
% 11.27/2.13  % (4007215)------------------------------
% 11.27/2.13  % (4007215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.13  % (4007215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.13  % (4007215)CaDiCaL version: 2.1.3
% 11.27/2.13  % (4007215)Termination reason: Instruction limit
% 11.27/2.13  % (4007215)Termination phase: Saturation
% 11.27/2.13  % (4007215)Time elapsed: 0.069 s
% 11.27/2.13  % (4007215)Peak memory usage: 14 MB
% 11.27/2.13  % (4007215)Instructions burned: 131 (million)
% 11.27/2.13  % (4007224)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=829068236:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.27/2.13  % (4007225)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1809886031:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.27/2.13  % (4007226)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=3204667670:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.27/2.13  % (4007216)Instruction limit reached! 
% 11.27/2.13  % (4007216)------------------------------
% 11.27/2.13  % (4007216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.13  % (4007216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.13  % (4007216)CaDiCaL version: 2.1.3
% 11.27/2.13  % (4007216)Termination reason: Instruction limit
% 11.27/2.13  % (4007216)Termination phase: Saturation
% 11.27/2.13  % (4007216)Time elapsed: 0.090 s
% 11.27/2.13  % (4007216)Peak memory usage: 14 MB
% 11.27/2.13  % (4007216)Instructions burned: 160 (million)
% 11.27/2.13  % (4007230)ott-21_1_sil=16000:fs=off:random_seed=2642648743:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.27/2.13  % (4007225)Instruction limit reached! 
% 11.27/2.13  % (4007225)------------------------------
% 11.27/2.13  % (4007225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.27/2.13  % (4007225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.13  % (4007225)CaDiCaL version: 2.1.3
% 17.99/3.25  % (4007225)Termination reason: Instruction limit
% 17.99/3.25  % (4007225)Termination phase: Saturation
% 17.99/3.25  % (4007225)Time elapsed: 0.065 s
% 17.99/3.25  % (4007225)Peak memory usage: 14 MB
% 17.99/3.25  % (4007225)Instructions burned: 132 (million)
% 17.99/3.25  % (4007232)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=203571437:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 17.99/3.25  % (4007230)Instruction limit reached! 
% 17.99/3.25  % (4007230)------------------------------
% 17.99/3.25  % (4007230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.25  % (4007230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.25  % (4007230)CaDiCaL version: 2.1.3
% 17.99/3.25  % (4007230)Termination reason: Instruction limit
% 17.99/3.25  % (4007230)Termination phase: Saturation
% 17.99/3.25  % (4007230)Time elapsed: 0.081 s
% 17.99/3.25  % (4007230)Peak memory usage: 13 MB
% 17.99/3.25  % (4007230)Instructions burned: 181 (million)
% 17.99/3.25  % (4007234)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=872445517:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.99/3.25  % (4007224)Instruction limit reached! 
% 17.99/3.25  % (4007224)------------------------------
% 17.99/3.25  % (4007224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.25  % (4007224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.25  % (4007224)CaDiCaL version: 2.1.3
% 17.99/3.25  % (4007224)Termination reason: Instruction limit
% 17.99/3.25  % (4007224)Termination phase: Finite model building preprocessing
% 17.99/3.25  % (4007224)Time elapsed: 0.350 s
% 17.99/3.25  % (4007224)Peak memory usage: 18 MB
% 17.99/3.25  % (4007224)Instructions burned: 715 (million)
% 17.99/3.25  % (4007236)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3379059350:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 17.99/3.25  % (4007232)Instruction limit reached! 
% 17.99/3.25  % (4007232)------------------------------
% 17.99/3.25  % (4007232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.25  % (4007232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.25  % (4007232)CaDiCaL version: 2.1.3
% 17.99/3.25  % (4007232)Termination reason: Instruction limit
% 17.99/3.25  % (4007232)Termination phase: Saturation
% 17.99/3.25  % (4007232)Time elapsed: 0.296 s
% 17.99/3.25  % (4007232)Peak memory usage: 15 MB
% 17.99/3.25  % (4007232)Instructions burned: 477 (million)
% 17.99/3.25  % (4007238)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=948788138:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 17.99/3.25  % (4007226)Instruction limit reached! 
% 17.99/3.25  % (4007226)------------------------------
% 17.99/3.25  % (4007226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.25  % (4007226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.25  % (4007226)CaDiCaL version: 2.1.3
% 17.99/3.25  % (4007226)Termination reason: Instruction limit
% 17.99/3.25  % (4007226)Termination phase: Saturation
% 17.99/3.25  % (4007226)Time elapsed: 0.387 s
% 17.99/3.25  % (4007226)Peak memory usage: 20 MB
% 17.99/3.25  % (4007226)Instructions burned: 684 (million)
% 17.99/3.25  % (4007240)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=1450866313: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)
% 17.99/3.26  % Detected minimum model sizes of [3]
% 17.99/3.26  % Detected maximum model sizes of [max]
% 17.99/3.26  % TRYING [3]
% 17.99/3.26  % (4007234)Instruction limit reached! 
% 17.99/3.26  % (4007234)------------------------------
% 17.99/3.26  % (4007234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007234)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007234)Termination reason: Instruction limit
% 17.99/3.26  % (4007234)Termination phase: Finite model building preprocessing
% 17.99/3.26  % (4007234)Time elapsed: 0.432 s
% 17.99/3.26  % (4007234)Peak memory usage: 19 MB
% 17.99/3.26  % (4007234)Instructions burned: 865 (million)
% 17.99/3.26  % (4007242)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1882932694:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 17.99/3.26  % (4007240)Instruction limit reached! 
% 17.99/3.26  % (4007240)------------------------------
% 17.99/3.26  % (4007240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007240)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007240)Termination reason: Instruction limit
% 17.99/3.26  % (4007240)Termination phase: Saturation
% 17.99/3.26  % (4007240)Time elapsed: 0.411 s
% 17.99/3.26  % (4007240)Peak memory usage: 18 MB
% 17.99/3.26  % (4007240)Instructions burned: 693 (million)
% 17.99/3.26  % (4007238)Instruction limit reached! 
% 17.99/3.26  % (4007238)------------------------------
% 17.99/3.26  % (4007238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007238)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007238)Termination reason: Instruction limit
% 17.99/3.26  % (4007238)Termination phase: Finite model building preprocessing
% 17.99/3.26  % (4007238)Time elapsed: 0.445 s
% 17.99/3.26  % (4007238)Peak memory usage: 19 MB
% 17.99/3.26  % (4007238)Instructions burned: 893 (million)
% 17.99/3.26  % (4007244)fmb+10_1_sil=64000:random_seed=2460383356:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 17.99/3.26  % (4007245)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=465480534:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 17.99/3.26  % (4007242)Instruction limit reached! 
% 17.99/3.26  % (4007242)------------------------------
% 17.99/3.26  % (4007242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007242)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007242)Termination reason: Instruction limit
% 17.99/3.26  % (4007242)Termination phase: Saturation
% 17.99/3.26  % (4007242)Time elapsed: 0.486 s
% 17.99/3.26  % (4007242)Peak memory usage: 20 MB
% 17.99/3.26  % (4007242)Instructions burned: 879 (million)
% 17.99/3.26  % (4007236)Instruction limit reached! 
% 17.99/3.26  % (4007236)------------------------------
% 17.99/3.26  % (4007236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007236)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007236)Termination reason: Instruction limit
% 17.99/3.26  % (4007236)Termination phase: Saturation
% 17.99/3.26  % (4007236)Time elapsed: 0.719 s
% 17.99/3.26  % (4007236)Peak memory usage: 24 MB
% 17.99/3.26  % (4007236)Instructions burned: 1180 (million)
% 17.99/3.26  % (4007248)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1897356793:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 17.99/3.26  % (4007249)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1028334750:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 17.99/3.26  % Detected minimum model sizes of [3]
% 17.99/3.26  % Detected maximum model sizes of [max]
% 17.99/3.26  % Detected minimum model sizes of [3]
% 17.99/3.26  % Detected maximum model sizes of [max]
% 17.99/3.26  % (4007245)Cannot represent all propositional literals internally
% 17.99/3.26  % (4007245)Refutation not found, incomplete strategy
% 17.99/3.26  % (4007245)------------------------------
% 17.99/3.26  % (4007245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007245)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007245)Termination reason: Refutation not found, incomplete strategy
% 17.99/3.26  % (4007245)Time elapsed: 0.585 s
% 17.99/3.26  % (4007245)Peak memory usage: 26 MB
% 17.99/3.26  % (4007245)Instructions burned: 1207 (million)
% 17.99/3.26  % (4007245)------------------------------
% 17.99/3.26  % (4007245)------------------------------
% 17.99/3.26  % (4007252)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1165466135:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 17.99/3.26  % (4007248)Instruction limit reached! 
% 17.99/3.26  % (4007248)------------------------------
% 17.99/3.26  % (4007248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007248)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007248)Termination reason: Instruction limit
% 17.99/3.26  % (4007248)Termination phase: Finite model building preprocessing
% 17.99/3.26  % (4007248)Time elapsed: 0.459 s
% 17.99/3.26  % (4007248)Peak memory usage: 21 MB
% 17.99/3.26  % (4007248)Instructions burned: 921 (million)
% 17.99/3.26  % (4007254)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1670657082:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 17.99/3.26  % TRYING [3]
% 17.99/3.26  % Detected minimum model sizes of [3]
% 17.99/3.26  % Detected maximum model sizes of [max]
% 17.99/3.26  % (4007254)Cannot represent all propositional literals internally
% 17.99/3.26  % (4007254)Refutation not found, incomplete strategy
% 17.99/3.26  % (4007254)------------------------------
% 17.99/3.26  % (4007254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007254)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007254)Termination reason: Refutation not found, incomplete strategy
% 17.99/3.26  % (4007254)Time elapsed: 0.608 s
% 17.99/3.26  % (4007254)Peak memory usage: 26 MB
% 17.99/3.26  % (4007254)Instructions burned: 1250 (million)
% 17.99/3.26  % (4007254)------------------------------
% 17.99/3.26  % (4007254)------------------------------
% 17.99/3.26  % (4007256)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2000647217:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 17.99/3.26  % (4007252)Instruction limit reached! 
% 17.99/3.26  % (4007252)------------------------------
% 17.99/3.26  % (4007252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007252)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007252)Termination reason: Instruction limit
% 17.99/3.26  % (4007252)Termination phase: Saturation
% 17.99/3.26  % (4007252)Time elapsed: 0.781 s
% 17.99/3.26  % (4007252)Peak memory usage: 32 MB
% 17.99/3.26  % (4007252)Instructions burned: 1473 (million)
% 17.99/3.26  % (4007258)ott-2_1_sil=16000:newcnf=on:random_seed=2589341001:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2976 on theBenchmark for (2976ds/869Mi)
% 17.99/3.26  % (4007249) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4007205-4007249"...
% 17.99/3.26  % (4007249)...printing done.
% 17.99/3.26  % (4007249)Refutation found. Thanks to Tanya!
% 17.99/3.26  % SZS status Theorem for theBenchmark
% 17.99/3.26  % SZS output start Proof for theBenchmark
% See solution above
% 17.99/3.26  % (4007249)------------------------------
% 17.99/3.26  % (4007249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/3.26  % (4007249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/3.26  % (4007249)CaDiCaL version: 2.1.3
% 17.99/3.26  % (4007249)Termination reason: Refutation
% 17.99/3.26  % (4007249)Time elapsed: 1.533 s
% 17.99/3.26  % (4007249)Peak memory usage: 30 MB
% 17.99/3.26  % (4007249)Instructions burned: 2764 (million)
% 17.99/3.26  % (4007205)Success in time 2.838 s
% 17.99/3.26  % Vampire exiting
%------------------------------------------------------------------------------