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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW343+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 01:39:51 PM UTC 2026

% Result   : Theorem 90.15s 16.71s
% Output   : Refutation 90.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
     => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_evaln_OBody) ).

fof(f5206,axiom,
    ! [X0,X1] :
      ( v_P(X0,X1)
     => ! [X2] :
          ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2)
         => v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f5207,axiom,
    v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

fof(f5208,axiom,
    c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

fof(f5209,conjecture,
    v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(f5210,negated_conjecture,
    ~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
    inference(negated_conjecture,[status(cth)],[f5209]) ).

fof(f5231,plain,
    ~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
    inference(flattening,[],[f5210]) ).

fof(f5418,plain,
    ! [X0,X1,X2,X3] :
      ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0)
      | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f9477,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes)))
          | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2) )
      | ~ v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5206]) ).

fof(f9480,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
      | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
    inference(cnf_transformation,[],[f5418]) ).

fof(f16447,plain,
    ! [X2,X0,X1] :
      ( ~ v_P(X0,X1)
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2)
      | v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes))) ),
    inference(cnf_transformation,[],[f9477]) ).

fof(f16448,plain,
    v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
    inference(cnf_transformation,[],[f5207]) ).

fof(f16449,plain,
    c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
    inference(cnf_transformation,[],[f5208]) ).

fof(f16450,plain,
    ~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
    inference(cnf_transformation,[],[f5231]) ).

fof(f17822,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,hAPP(c_Nat_OSuc,X1),X0)
      | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
    inference(consistent_polarity_flipping,[],[f9480]) ).

fof(f22481,plain,
    ! [X2,X0,X1] :
      ( ~ v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes)))
      | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2)
      | v_P(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f16447]) ).

fof(f22482,plain,
    ~ v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
    inference(consistent_polarity_flipping,[],[f16448]) ).

fof(f22483,plain,
    ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
    inference(consistent_polarity_flipping,[],[f16449]) ).

fof(f22484,plain,
    v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
    inference(consistent_polarity_flipping,[],[f16450]) ).

fof(f352752,plain,
    ! [X0] :
      ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X0,hAPP(c_Nat_OSuc,v_na),v_s1)
      | v_P(v_Z,X0) ),
    inference(resolution,[],[f22481,f22484]) ).

fof(f352770,plain,
    ! [X0] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X0,v_na,v_s1)
      | v_P(v_Z,X0) ),
    inference(resolution,[],[f352752,f17822]) ).

fof(f353911,plain,
    v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
    inference(resolution,[],[f352770,f22483]) ).

fof(f353916,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f353911,f22482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW343+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17  % Computer : n006.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 13:39:13 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.36/3.59  % (3968901)Will run a generic schedule for satisfiability detection.
% 22.36/3.59  % (3968907)% WARNING: option uhcvi not known.
% 22.36/3.59  % (3968906)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3711796286_2998 on theBenchmark for (2998ds/0Mi)
% 22.36/3.59  % (3968909)dis+10_1_sil=32000:sp=arity:random_seed=3089637206:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 22.36/3.59  % (3968908)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2028418254:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 22.36/3.59  % (3968910)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4008811249:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 22.36/3.59  % (3968907)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1612336930:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 22.36/3.59  % (3968911)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3551965247:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 22.36/3.59  % (3968912)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=232207783:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 22.36/3.59  % (3968909)Instruction limit reached! 
% 22.36/3.59  % (3968909)------------------------------
% 22.36/3.59  % (3968909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.59  % (3968909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.59  % (3968909)CaDiCaL version: 2.1.3
% 22.36/3.59  % (3968909)Termination reason: Instruction limit
% 22.36/3.59  % (3968909)Termination phase: Preprocessing 3
% 22.36/3.59  % (3968909)Time elapsed: 0.062 s
% 22.36/3.59  % (3968909)Peak memory usage: 20 MB
% 22.36/3.59  % (3968909)Instructions burned: 103 (million)
% 22.36/3.59  % (3968912)Instruction limit reached! 
% 22.36/3.59  % (3968912)------------------------------
% 22.36/3.59  % (3968912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.59  % (3968912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.59  % (3968912)CaDiCaL version: 2.1.3
% 22.36/3.59  % (3968912)Termination reason: Instruction limit
% 22.36/3.59  % (3968912)Termination phase: Property scanning
% 22.36/3.59  % (3968912)Time elapsed: 0.072 s
% 22.36/3.59  % (3968912)Peak memory usage: 21 MB
% 22.36/3.59  % (3968912)Instructions burned: 159 (million)
% 22.36/3.59  % (3968910)Instruction limit reached! 
% 22.36/3.59  % (3968910)------------------------------
% 22.36/3.59  % (3968910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.59  % (3968910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.59  % (3968910)CaDiCaL version: 2.1.3
% 22.36/3.59  % (3968910)Termination reason: Instruction limit
% 22.36/3.59  % (3968910)Termination phase: NewCNF
% 22.36/3.59  % (3968910)Time elapsed: 0.074 s
% 22.36/3.59  % (3968910)Peak memory usage: 21 MB
% 22.36/3.59  % (3968910)Instructions burned: 117 (million)
% 22.36/3.59  % (3968911)Instruction limit reached! 
% 22.36/3.59  % (3968911)------------------------------
% 22.36/3.59  % (3968911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.59  % (3968911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.59  % (3968911)CaDiCaL version: 2.1.3
% 22.36/3.59  % (3968911)Termination reason: Instruction limit
% 22.36/3.59  % (3968911)Termination phase: Preprocessing 3
% 22.36/3.59  % (3968911)Time elapsed: 0.077 s
% 22.36/3.59  % (3968911)Peak memory usage: 20 MB
% 22.36/3.59  % (3968911)Instructions burned: 132 (million)
% 22.36/3.59  % (3968920)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=269338037:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 22.36/3.59  % (3968921)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=239177149:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 22.36/3.59  % (3968922)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=2727933058:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 22.36/3.59  % (3968923)ott-21_1_sil=16000:fs=off:random_seed=2736252962:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 22.36/3.59  % (3968921)Instruction limit reached! 
% 22.36/3.59  % (3968921)------------------------------
% 22.36/3.59  % (3968921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.59  % (3968921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968921)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968921)Termination reason: Instruction limit
% 55.25/8.14  % (3968921)Termination phase: Preprocessing 3
% 55.25/8.14  % (3968921)Time elapsed: 0.044 s
% 55.25/8.14  % (3968921)Peak memory usage: 20 MB
% 55.25/8.14  % (3968921)Instructions burned: 135 (million)
% 55.25/8.14  % (3968928)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2680746597:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 55.25/8.14  % (3968923)Instruction limit reached! 
% 55.25/8.14  % (3968923)------------------------------
% 55.25/8.14  % (3968923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.14  % (3968923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968923)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968923)Termination reason: Instruction limit
% 55.25/8.14  % (3968923)Termination phase: Property scanning
% 55.25/8.14  % (3968923)Time elapsed: 0.103 s
% 55.25/8.14  % (3968923)Peak memory usage: 21 MB
% 55.25/8.14  % (3968923)Instructions burned: 182 (million)
% 55.25/8.14  % (3968930)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3146329018:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 55.25/8.14  % (3968928)Instruction limit reached! 
% 55.25/8.14  % (3968928)------------------------------
% 55.25/8.14  % (3968928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.14  % (3968928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968928)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968928)Termination reason: Instruction limit
% 55.25/8.14  % (3968928)Termination phase: Property scanning
% 55.25/8.14  % (3968928)Time elapsed: 0.123 s
% 55.25/8.14  % (3968928)Peak memory usage: 22 MB
% 55.25/8.14  % (3968928)Instructions burned: 482 (million)
% 55.25/8.14  % (3968932)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3590872133:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 55.25/8.14  % (3968922)Instruction limit reached! 
% 55.25/8.14  % (3968922)------------------------------
% 55.25/8.14  % (3968922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.14  % (3968922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968922)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968922)Termination reason: Instruction limit
% 55.25/8.14  % (3968922)Termination phase: Saturation
% 55.25/8.14  % (3968922)Time elapsed: 0.322 s
% 55.25/8.14  % (3968922)Peak memory usage: 24 MB
% 55.25/8.14  % (3968922)Instructions burned: 685 (million)
% 55.25/8.14  % (3968920)Instruction limit reached! 
% 55.25/8.14  % (3968920)------------------------------
% 55.25/8.14  % (3968920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.14  % (3968920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968920)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968920)Termination reason: Instruction limit
% 55.25/8.14  % (3968920)Termination phase: Finite model building preprocessing
% 55.25/8.14  % (3968920)Time elapsed: 0.337 s
% 55.25/8.14  % (3968920)Peak memory usage: 25 MB
% 55.25/8.14  % (3968920)Instructions burned: 715 (million)
% 55.25/8.14  % (3968934)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=972267675:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 55.25/8.14  % (3968935)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=418394762:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 55.25/8.14  % (3968932)Instruction limit reached! 
% 55.25/8.14  % (3968932)------------------------------
% 55.25/8.14  % (3968932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.14  % (3968932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968932)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968932)Termination reason: Instruction limit
% 55.25/8.14  % (3968932)Termination phase: Saturation
% 55.25/8.14  % (3968932)Time elapsed: 0.338 s
% 55.25/8.14  % (3968932)Peak memory usage: 30 MB
% 55.25/8.14  % (3968932)Instructions burned: 1181 (million)
% 55.25/8.14  % (3968930)Instruction limit reached! 
% 55.25/8.14  % (3968930)------------------------------
% 55.25/8.14  % (3968930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.14  % (3968930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.14  % (3968930)CaDiCaL version: 2.1.3
% 55.25/8.14  % (3968930)Termination reason: Instruction limit
% 55.25/8.14  % (3968930)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968930)Time elapsed: 0.405 s
% 90.15/16.71  % (3968930)Peak memory usage: 30 MB
% 90.15/16.71  % (3968930)Instructions burned: 867 (million)
% 90.15/16.71  % (3968938)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=448895749:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 90.15/16.71  % (3968940)fmb+10_1_sil=64000:random_seed=4121399995:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 90.15/16.71  % (3968935)Instruction limit reached! 
% 90.15/16.71  % (3968935)------------------------------
% 90.15/16.71  % (3968935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968935)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968935)Termination reason: Instruction limit
% 90.15/16.71  % (3968935)Termination phase: Saturation
% 90.15/16.71  % (3968935)Time elapsed: 0.347 s
% 90.15/16.71  % (3968935)Peak memory usage: 27 MB
% 90.15/16.71  % (3968935)Instructions burned: 693 (million)
% 90.15/16.71  % (3968942)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2600433789:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 90.15/16.71  % (3968938)Instruction limit reached! 
% 90.15/16.71  % (3968938)------------------------------
% 90.15/16.71  % (3968938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968938)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968938)Termination reason: Instruction limit
% 90.15/16.71  % (3968938)Termination phase: Saturation
% 90.15/16.71  % (3968938)Time elapsed: 0.226 s
% 90.15/16.71  % (3968938)Peak memory usage: 30 MB
% 90.15/16.71  % (3968938)Instructions burned: 881 (million)
% 90.15/16.71  % (3968934)Instruction limit reached! 
% 90.15/16.71  % (3968934)------------------------------
% 90.15/16.71  % (3968934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968934)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968934)Termination reason: Instruction limit
% 90.15/16.71  % (3968934)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968934)Time elapsed: 0.421 s
% 90.15/16.71  % (3968934)Peak memory usage: 31 MB
% 90.15/16.71  % (3968934)Instructions burned: 889 (million)
% 90.15/16.71  % (3968944)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=41344047:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 90.15/16.71  % (3968945)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2205884499:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 90.15/16.71  % (3968944)Instruction limit reached! 
% 90.15/16.71  % (3968944)------------------------------
% 90.15/16.71  % (3968944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968944)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968944)Termination reason: Instruction limit
% 90.15/16.71  % (3968944)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968944)Time elapsed: 0.234 s
% 90.15/16.71  % (3968944)Peak memory usage: 31 MB
% 90.15/16.71  % (3968944)Instructions burned: 920 (million)
% 90.15/16.71  % (3968948)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2928419456:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 90.15/16.71  % (3968948)Instruction limit reached! 
% 90.15/16.71  % (3968948)------------------------------
% 90.15/16.71  % (3968948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968948)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968948)Termination reason: Instruction limit
% 90.15/16.71  % (3968948)Termination phase: Saturation
% 90.15/16.71  % (3968948)Time elapsed: 0.344 s
% 90.15/16.71  % (3968948)Peak memory usage: 29 MB
% 90.15/16.71  % (3968948)Instructions burned: 1475 (million)
% 90.15/16.71  % (3968950)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2889957769:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 90.15/16.71  % (3968950)Instruction limit reached! 
% 90.15/16.71  % (3968950)------------------------------
% 90.15/16.71  % (3968950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968950)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968950)Termination reason: Instruction limit
% 90.15/16.71  % (3968950)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968950)Time elapsed: 1.721 s
% 90.15/16.71  % (3968950)Peak memory usage: 63 MB
% 90.15/16.71  % (3968950)Instructions burned: 6325 (million)
% 90.15/16.71  % (3968952)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1504102039:fmbsr=2.30978:i=2174_2966 on theBenchmark for (2966ds/2174Mi)
% 90.15/16.71  % (3968952)Instruction limit reached! 
% 90.15/16.71  % (3968952)------------------------------
% 90.15/16.71  % (3968952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968952)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968952)Termination reason: Instruction limit
% 90.15/16.71  % (3968952)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968952)Time elapsed: 0.545 s
% 90.15/16.71  % (3968952)Peak memory usage: 48 MB
% 90.15/16.71  % (3968952)Instructions burned: 2175 (million)
% 90.15/16.71  % (3968945)Instruction limit reached! 
% 90.15/16.71  % (3968945)------------------------------
% 90.15/16.71  % (3968945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968945)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968945)Termination reason: Instruction limit
% 90.15/16.71  % (3968945)Termination phase: Saturation
% 90.15/16.71  % (3968945)Time elapsed: 2.888 s
% 90.15/16.71  % (3968945)Peak memory usage: 61 MB
% 90.15/16.71  % (3968945)Instructions burned: 5131 (million)
% 90.15/16.71  % (3968954)ott-2_1_sil=16000:newcnf=on:random_seed=3090384719:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2960 on theBenchmark for (2960ds/869Mi)
% 90.15/16.71  % (3968956)ott+10_1_sil=32000:tgt=ground:random_seed=209555311:i=5114:av=off_2960 on theBenchmark for (2960ds/5114Mi)
% 90.15/16.71  % (3968954)Instruction limit reached! 
% 90.15/16.71  % (3968954)------------------------------
% 90.15/16.71  % (3968954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968954)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968954)Termination reason: Instruction limit
% 90.15/16.71  % (3968954)Termination phase: Saturation
% 90.15/16.71  % (3968954)Time elapsed: 0.236 s
% 90.15/16.71  % (3968954)Peak memory usage: 28 MB
% 90.15/16.71  % (3968954)Instructions burned: 870 (million)
% 90.15/16.71  % (3968958)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=152409092:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 90.15/16.71  % (3968942)Instruction limit reached! 
% 90.15/16.71  % (3968942)------------------------------
% 90.15/16.71  % (3968942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968942)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968942)Termination reason: Instruction limit
% 90.15/16.71  % (3968942)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968942)Time elapsed: 4.924 s
% 90.15/16.71  % (3968942)Peak memory usage: 87 MB
% 90.15/16.71  % (3968942)Instructions burned: 9516 (million)
% 90.15/16.71  % (3968960)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1121802987:i=3512:aac=none_2940 on theBenchmark for (2940ds/3512Mi)
% 90.15/16.71  % (3968956)Instruction limit reached! 
% 90.15/16.71  % (3968956)------------------------------
% 90.15/16.71  % (3968956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968956)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968956)Termination reason: Instruction limit
% 90.15/16.71  % (3968956)Termination phase: Saturation
% 90.15/16.71  % (3968956)Time elapsed: 3.114 s
% 90.15/16.71  % (3968956)Peak memory usage: 67 MB
% 90.15/16.71  % (3968956)Instructions burned: 5114 (million)
% 90.15/16.71  % (3968962)dis+21_1_sil=32000:sas=cadical:random_seed=3448230436:i=3773:amm=off_2928 on theBenchmark for (2928ds/3773Mi)
% 90.15/16.71  % (3968960)Instruction limit reached! 
% 90.15/16.71  % (3968960)------------------------------
% 90.15/16.71  % (3968960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968960)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968960)Termination reason: Instruction limit
% 90.15/16.71  % (3968960)Termination phase: Saturation
% 90.15/16.71  % (3968960)Time elapsed: 1.979 s
% 90.15/16.71  % (3968960)Peak memory usage: 58 MB
% 90.15/16.71  % (3968960)Instructions burned: 3512 (million)
% 90.15/16.71  % (3968965)ott+11_1_sil=16000:gs=on:random_seed=72957765:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 90.15/16.71  % (3968965)Instruction limit reached! 
% 90.15/16.71  % (3968965)------------------------------
% 90.15/16.71  % (3968965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968965)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968965)Termination reason: Instruction limit
% 90.15/16.71  % (3968965)Termination phase: Saturation
% 90.15/16.71  % (3968965)Time elapsed: 1.156 s
% 90.15/16.71  % (3968965)Peak memory usage: 34 MB
% 90.15/16.71  % (3968965)Instructions burned: 2252 (million)
% 90.15/16.71  % (3968967)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2304604188:fmbsr=1.6:i=67534_2908 on theBenchmark for (2908ds/67534Mi)
% 90.15/16.71  % (3968962)Instruction limit reached! 
% 90.15/16.71  % (3968962)------------------------------
% 90.15/16.71  % (3968962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968962)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968962)Termination reason: Instruction limit
% 90.15/16.71  % (3968962)Termination phase: Saturation
% 90.15/16.71  % (3968962)Time elapsed: 2.175 s
% 90.15/16.71  % (3968962)Peak memory usage: 51 MB
% 90.15/16.71  % (3968962)Instructions burned: 3774 (million)
% 90.15/16.71  % (3968969)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2508941312:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2906 on theBenchmark for (2906ds/4591Mi)
% 90.15/16.71  % (3968969)Instruction limit reached! 
% 90.15/16.71  % (3968969)------------------------------
% 90.15/16.71  % (3968969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968969)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968969)Termination reason: Instruction limit
% 90.15/16.71  % (3968969)Termination phase: Saturation
% 90.15/16.71  % (3968969)Time elapsed: 1.721 s
% 90.15/16.71  % (3968969)Peak memory usage: 31 MB
% 90.15/16.71  % (3968969)Instructions burned: 4593 (million)
% 90.15/16.71  % (3968971)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1328184971:i=29340_2889 on theBenchmark for (2889ds/29340Mi)
% 90.15/16.71  % TRYING [1]
% 90.15/16.71  % TRYING [2]
% 90.15/16.71  % (3968940)Instruction limit reached! 
% 90.15/16.71  % (3968940)------------------------------
% 90.15/16.71  % (3968940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968940)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968940)Termination reason: Instruction limit
% 90.15/16.71  % (3968940)Termination phase: Finite model building preprocessing
% 90.15/16.71  % (3968940)Time elapsed: 11.604 s
% 90.15/16.71  % (3968940)Peak memory usage: 204 MB
% 90.15/16.71  % (3968940)Instructions burned: 22062 (million)
% 90.15/16.71  % (3968973)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1224155137:i=5211_2875 on theBenchmark for (2875ds/5211Mi)
% 90.15/16.71  % TRYING [3]
% 90.15/16.71  % TRYING [1]
% 90.15/16.71  % TRYING [2]
% 90.15/16.71  % (3968973)Instruction limit reached! 
% 90.15/16.71  % (3968973)------------------------------
% 90.15/16.71  % (3968973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968973)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968973)Termination reason: Instruction limit
% 90.15/16.71  % (3968973)Termination phase: Saturation
% 90.15/16.71  % (3968973)Time elapsed: 2.097 s
% 90.15/16.71  % (3968973)Peak memory usage: 46 MB
% 90.15/16.71  % (3968973)Instructions burned: 5212 (million)
% 90.15/16.71  % (3968975)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=920665546:i=5497:nm=2_2854 on theBenchmark for (2854ds/5497Mi)
% 90.15/16.71  % (3968907) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3968901-3968907"...
% 90.15/16.71  % (3968907)...printing done.
% 90.15/16.71  % (3968907)Refutation found. Thanks to Tanya!
% 90.15/16.71  % SZS status Theorem for theBenchmark
% 90.15/16.71  % SZS output start Proof for theBenchmark
% See solution above
% 90.15/16.71  % (3968907)------------------------------
% 90.15/16.71  % (3968907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.15/16.71  % (3968907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.15/16.71  % (3968907)CaDiCaL version: 2.1.3
% 90.15/16.71  % (3968907)Termination reason: Refutation
% 90.15/16.71  % (3968907)Time elapsed: 16.093 s
% 90.15/16.71  % (3968907)Peak memory usage: 176 MB
% 90.15/16.71  % (3968907)Instructions burned: 26920 (million)
% 90.15/16.71  % (3968901)Success in time 16.49 s
% 90.15/16.71  % Vampire exiting
%------------------------------------------------------------------------------