↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU308+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 12:52:49 PM UTC 2026

% Result   : Theorem 38.69s 5.99s
% Output   : Refutation 38.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :   57 (  26 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  18   ~;  13   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :   35 (  33   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,axiom,
    ! [X0] : cast_to_subset(X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_subset_1) ).

fof(f94,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => subset_complement(X0,X1) = set_difference(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).

fof(f132,axiom,
    ! [X0] : element(cast_to_subset(X0),powerset(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_subset_1) ).

fof(f291,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X0))
        & element(X2,powerset(X0)) )
     => subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).

fof(f337,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).

fof(f361,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => subset_complement(the_carrier(X0),X1) = subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_pre_topc) ).

fof(f362,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => ! [X1] :
            ( element(X1,powerset(the_carrier(X0)))
           => subset_complement(the_carrier(X0),X1) = subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) ) ),
    inference(negated_conjecture,[status(cth)],[f361]) ).

fof(f636,plain,
    ! [X0,X1] :
      ( subset_complement(X0,X1) = set_difference(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f783,plain,
    ! [X0,X1,X2] :
      ( subset_difference(X0,X1,X2) = set_difference(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(ennf_transformation,[],[f291]) ).

fof(f784,plain,
    ! [X0,X1,X2] :
      ( subset_difference(X0,X1,X2) = set_difference(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(flattening,[],[f783]) ).

fof(f848,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f337]) ).

fof(f882,plain,
    ? [X0] :
      ( ? [X1] :
          ( subset_complement(the_carrier(X0),X1) != subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1)
          & element(X1,powerset(the_carrier(X0))) )
      & one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f362]) ).

fof(f1510,plain,
    ( subset_complement(the_carrier(sK332),sK333) != subset_difference(the_carrier(sK332),cast_as_carrier_subset(sK332),sK333)
    & element(sK333,powerset(the_carrier(sK332)))
    & one_sorted_str(sK332) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK332,sK333]),skolemize(X0,sK332),skolemize(X1,sK333)],[f882]) ).

fof(f1835,plain,
    ! [X0] : cast_to_subset(X0) = X0,
    inference(cnf_transformation,[],[f86]) ).

fof(f1878,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | set_difference(X0,X1) = subset_complement(X0,X1) ),
    inference(cnf_transformation,[],[f636]) ).

fof(f1954,plain,
    ! [X0] : element(cast_to_subset(X0),powerset(X0)),
    inference(cnf_transformation,[],[f132]) ).

fof(f2252,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(cnf_transformation,[],[f784]) ).

fof(f2591,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | the_carrier(X0) = cast_as_carrier_subset(X0) ),
    inference(cnf_transformation,[],[f848]) ).

fof(f2627,plain,
    one_sorted_str(sK332),
    inference(cnf_transformation,[],[f1510]) ).

fof(f2628,plain,
    element(sK333,powerset(the_carrier(sK332))),
    inference(cnf_transformation,[],[f1510]) ).

fof(f2629,plain,
    subset_complement(the_carrier(sK332),sK333) != subset_difference(the_carrier(sK332),cast_as_carrier_subset(sK332),sK333),
    inference(cnf_transformation,[],[f1510]) ).

fof(f3637,plain,
    ! [X0] : element(X0,powerset(X0)),
    inference(forward_demodulation,[],[f1954,f1835]) ).

fof(f3970,plain,
    the_carrier(sK332) = cast_as_carrier_subset(sK332),
    inference(resolution,[],[f2591,f2627]) ).

fof(f3971,plain,
    subset_complement(cast_as_carrier_subset(sK332),sK333) != subset_difference(cast_as_carrier_subset(sK332),cast_as_carrier_subset(sK332),sK333),
    inference(superposition,[],[f2629,f3970]) ).

fof(f9279,plain,
    subset_complement(the_carrier(sK332),sK333) = set_difference(the_carrier(sK332),sK333),
    inference(resolution,[],[f1878,f2628]) ).

fof(f9281,plain,
    subset_complement(cast_as_carrier_subset(sK332),sK333) = set_difference(cast_as_carrier_subset(sK332),sK333),
    inference(forward_demodulation,[],[f9279,f3970]) ).

fof(f16775,plain,
    ! [X0] :
      ( ~ element(X0,powerset(the_carrier(sK332)))
      | subset_difference(the_carrier(sK332),X0,sK333) = set_difference(X0,sK333) ),
    inference(resolution,[],[f2252,f2628]) ).

fof(f16779,plain,
    ! [X0] :
      ( ~ element(X0,powerset(cast_as_carrier_subset(sK332)))
      | subset_difference(the_carrier(sK332),X0,sK333) = set_difference(X0,sK333) ),
    inference(forward_demodulation,[],[f16775,f3970]) ).

fof(f16787,plain,
    ! [X0] :
      ( ~ element(X0,powerset(cast_as_carrier_subset(sK332)))
      | set_difference(X0,sK333) = subset_difference(cast_as_carrier_subset(sK332),X0,sK333) ),
    inference(forward_demodulation,[],[f16779,f3970]) ).

fof(f38082,plain,
    subset_difference(cast_as_carrier_subset(sK332),cast_as_carrier_subset(sK332),sK333) = set_difference(cast_as_carrier_subset(sK332),sK333),
    inference(resolution,[],[f16787,f3637]) ).

fof(f38111,plain,
    subset_complement(cast_as_carrier_subset(sK332),sK333) = subset_difference(cast_as_carrier_subset(sK332),cast_as_carrier_subset(sK332),sK333),
    inference(forward_demodulation,[],[f38082,f9281]) ).

fof(f38114,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f38111,f3971]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU308+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n004.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 04:38:07 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  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
% 8.86/2.02  % (4151668)Will run a generic schedule for satisfiability detection.
% 8.86/2.02  % (4151677)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1082336980:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.86/2.02  % (4151674)% WARNING: option uhcvi not known.
% 8.86/2.02  % (4151674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2722883792:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.86/2.02  % (4151673)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2874819534_2999 on theBenchmark for (2999ds/0Mi)
% 8.86/2.02  % (4151676)dis+10_1_sil=32000:sp=arity:random_seed=3651457759:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.86/2.02  % (4151675)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2052868072:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.86/2.02  % (4151678)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2969822951:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.86/2.02  % (4151679)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=457728948:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.86/2.02  % (4151677)Instruction limit reached! 
% 8.86/2.02  % (4151677)------------------------------
% 8.86/2.02  % (4151677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/2.02  % (4151677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.02  % (4151677)CaDiCaL version: 2.1.3
% 8.86/2.02  % (4151677)Termination reason: Instruction limit
% 8.86/2.02  % (4151677)Termination phase: Saturation
% 8.86/2.02  % (4151677)Time elapsed: 0.032 s
% 8.86/2.02  % (4151677)Peak memory usage: 13 MB
% 8.86/2.02  % (4151677)Instructions burned: 118 (million)
% 8.86/2.02  % (4151694)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4234482397:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.86/2.02  % (4151676)Instruction limit reached! 
% 8.86/2.02  % (4151676)------------------------------
% 8.86/2.02  % (4151676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/2.02  % (4151676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.02  % (4151676)CaDiCaL version: 2.1.3
% 8.86/2.02  % (4151676)Termination reason: Instruction limit
% 8.86/2.02  % (4151676)Termination phase: Saturation
% 8.86/2.02  % (4151676)Time elapsed: 0.061 s
% 8.86/2.02  % (4151676)Peak memory usage: 14 MB
% 8.86/2.02  % (4151676)Instructions burned: 103 (million)
% 8.86/2.02  % (4151678)Instruction limit reached! 
% 8.86/2.02  % (4151678)------------------------------
% 8.86/2.02  % (4151678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/2.02  % (4151678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.02  % (4151678)CaDiCaL version: 2.1.3
% 8.86/2.02  % (4151678)Termination reason: Instruction limit
% 8.86/2.02  % (4151678)Termination phase: Saturation
% 8.86/2.02  % (4151678)Time elapsed: 0.075 s
% 8.86/2.02  % (4151678)Peak memory usage: 15 MB
% 8.86/2.02  % (4151678)Instructions burned: 131 (million)
% 8.86/2.02  % (4151706)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=256332524:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.86/2.02  % TRYING [1]
% 8.86/2.02  % (4151712)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=2729242747:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.86/2.02  % TRYING [2]
% 8.86/2.02  % (4151679)Instruction limit reached! 
% 8.86/2.02  % (4151679)------------------------------
% 8.86/2.02  % (4151679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/2.02  % (4151679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.02  % (4151679)CaDiCaL version: 2.1.3
% 8.86/2.02  % (4151679)Termination reason: Instruction limit
% 8.86/2.02  % (4151679)Termination phase: Saturation
% 8.86/2.02  % (4151679)Time elapsed: 0.101 s
% 8.86/2.02  % (4151679)Peak memory usage: 15 MB
% 8.86/2.02  % (4151679)Instructions burned: 159 (million)
% 8.86/2.02  % (4151727)ott-21_1_sil=16000:fs=off:random_seed=420631094:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.86/2.02  % TRYING [3]
% 8.86/2.02  % TRYING [1]
% 8.86/2.02  % TRYING [2]
% 8.86/2.02  % (4151706)Instruction limit reached! 
% 8.86/2.02  % (4151706)------------------------------
% 8.86/2.02  % (4151706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/2.02  % (4151706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151706)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151706)Termination reason: Instruction limit
% 38.69/5.99  % (4151706)Termination phase: Saturation
% 38.69/5.99  % (4151706)Time elapsed: 0.074 s
% 38.69/5.99  % (4151706)Peak memory usage: 15 MB
% 38.69/5.99  % (4151706)Instructions burned: 132 (million)
% 38.69/5.99  % (4151755)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=23845162:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 38.69/5.99  % (4151694)Instruction limit reached! 
% 38.69/5.99  % (4151694)------------------------------
% 38.69/5.99  % (4151694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151694)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151694)Termination reason: Instruction limit
% 38.69/5.99  % (4151694)Termination phase: Finite model building constraint generation
% 38.69/5.99  % (4151694)Time elapsed: 0.172 s
% 38.69/5.99  % (4151694)Peak memory usage: 46 MB
% 38.69/5.99  % (4151694)Instructions burned: 715 (million)
% 38.69/5.99  % (4151770)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=338539312:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.69/5.99  % TRYING [3]
% 38.69/5.99  % (4151727)Instruction limit reached! 
% 38.69/5.99  % (4151727)------------------------------
% 38.69/5.99  % (4151727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151727)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151727)Termination reason: Instruction limit
% 38.69/5.99  % (4151727)Termination phase: Saturation
% 38.69/5.99  % (4151727)Time elapsed: 0.098 s
% 38.69/5.99  % (4151727)Peak memory usage: 15 MB
% 38.69/5.99  % (4151727)Instructions burned: 181 (million)
% 38.69/5.99  % (4151777)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=740631655:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 38.69/5.99  % TRYING [1]
% 38.69/5.99  % TRYING [2]
% 38.69/5.99  % TRYING [3]
% 38.69/5.99  % (4151770)Instruction limit reached! 
% 38.69/5.99  % (4151770)------------------------------
% 38.69/5.99  % (4151770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151770)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151770)Termination reason: Instruction limit
% 38.69/5.99  % (4151770)Termination phase: Finite model building constraint generation
% 38.69/5.99  % (4151770)Time elapsed: 0.227 s
% 38.69/5.99  % (4151770)Peak memory usage: 33 MB
% 38.69/5.99  % (4151770)Instructions burned: 869 (million)
% 38.69/5.99  % (4151802)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3979048127:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 38.69/5.99  % (4151712)Instruction limit reached! 
% 38.69/5.99  % (4151712)------------------------------
% 38.69/5.99  % (4151712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151712)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151712)Termination reason: Instruction limit
% 38.69/5.99  % (4151712)Termination phase: Saturation
% 38.69/5.99  % (4151712)Time elapsed: 0.380 s
% 38.69/5.99  % (4151712)Peak memory usage: 21 MB
% 38.69/5.99  % (4151712)Instructions burned: 684 (million)
% 38.69/5.99  % (4151804)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=2094349390: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)
% 38.69/5.99  % (4151755)Instruction limit reached! 
% 38.69/5.99  % (4151755)------------------------------
% 38.69/5.99  % (4151755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151755)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151755)Termination reason: Instruction limit
% 38.69/5.99  % (4151755)Termination phase: Saturation
% 38.69/5.99  % (4151755)Time elapsed: 0.341 s
% 38.69/5.99  % (4151755)Peak memory usage: 16 MB
% 38.69/5.99  % (4151755)Instructions burned: 478 (million)
% 38.69/5.99  % (4151806)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4107486640:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 38.69/5.99  % TRYING [4]
% 38.69/5.99  % (4151802)Instruction limit reached! 
% 38.69/5.99  % (4151802)------------------------------
% 38.69/5.99  % (4151802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151802)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151802)Termination reason: Instruction limit
% 38.69/5.99  % (4151802)Termination phase: Finite model building constraint generation
% 38.69/5.99  % (4151802)Time elapsed: 0.269 s
% 38.69/5.99  % (4151802)Peak memory usage: 93 MB
% 38.69/5.99  % (4151802)Instructions burned: 890 (million)
% 38.69/5.99  % (4151836)fmb+10_1_sil=64000:random_seed=3692121561:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 38.69/5.99  % TRYING [1]
% 38.69/5.99  % TRYING [2]
% 38.69/5.99  % TRYING [3]
% 38.69/5.99  % (4151804)Instruction limit reached! 
% 38.69/5.99  % (4151804)------------------------------
% 38.69/5.99  % (4151804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151804)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151804)Termination reason: Instruction limit
% 38.69/5.99  % (4151804)Termination phase: Saturation
% 38.69/5.99  % (4151804)Time elapsed: 0.403 s
% 38.69/5.99  % (4151804)Peak memory usage: 23 MB
% 38.69/5.99  % (4151804)Instructions burned: 692 (million)
% 38.69/5.99  % (4151883)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2701649079:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 38.69/5.99  % (4151806)Instruction limit reached! 
% 38.69/5.99  % (4151806)------------------------------
% 38.69/5.99  % (4151806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151806)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151806)Termination reason: Instruction limit
% 38.69/5.99  % (4151806)Termination phase: Saturation
% 38.69/5.99  % (4151806)Time elapsed: 0.462 s
% 38.69/5.99  % (4151806)Peak memory usage: 22 MB
% 38.69/5.99  % (4151806)Instructions burned: 880 (million)
% 38.69/5.99  % (4151777)Instruction limit reached! 
% 38.69/5.99  % (4151777)------------------------------
% 38.69/5.99  % (4151777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151777)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151777)Termination reason: Instruction limit
% 38.69/5.99  % (4151777)Termination phase: Saturation
% 38.69/5.99  % (4151777)Time elapsed: 0.760 s
% 38.69/5.99  % (4151777)Peak memory usage: 30 MB
% 38.69/5.99  % (4151777)Instructions burned: 1180 (million)
% 38.69/5.99  % (4151923)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=493938232:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 38.69/5.99  % (4151927)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=519659968:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 38.69/5.99  % (4151883)Cannot represent all propositional literals internally
% 38.69/5.99  % (4151883)Refutation not found, incomplete strategy
% 38.69/5.99  % (4151883)------------------------------
% 38.69/5.99  % (4151883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151883)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151883)Termination reason: Refutation not found, incomplete strategy
% 38.69/5.99  % (4151883)Time elapsed: 0.128 s
% 38.69/5.99  % (4151883)Peak memory usage: 16 MB
% 38.69/5.99  % (4151883)Instructions burned: 254 (million)
% 38.69/5.99  % (4151883)------------------------------
% 38.69/5.99  % (4151883)------------------------------
% 38.69/5.99  % (4151944)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1511042279:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 38.69/5.99  % TRYING [8]
% 38.69/5.99  % (4151923)Instruction limit reached! 
% 38.69/5.99  % (4151923)------------------------------
% 38.69/5.99  % (4151923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151923)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151923)Termination reason: Instruction limit
% 38.69/5.99  % (4151923)Termination phase: Finite model building constraint generation
% 38.69/5.99  % (4151923)Time elapsed: 0.357 s
% 38.69/5.99  % (4151923)Peak memory usage: 56 MB
% 38.69/5.99  % (4151923)Instructions burned: 921 (million)
% 38.69/5.99  % (4151998)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2528008416:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 38.69/5.99  % TRYING [4]
% 38.69/5.99  % (4151998)Cannot represent all propositional literals internally
% 38.69/5.99  % (4151998)Refutation not found, incomplete strategy
% 38.69/5.99  % (4151998)------------------------------
% 38.69/5.99  % (4151998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151998)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151998)Termination reason: Refutation not found, incomplete strategy
% 38.69/5.99  % (4151998)Time elapsed: 0.143 s
% 38.69/5.99  % (4151998)Peak memory usage: 17 MB
% 38.69/5.99  % (4151998)Instructions burned: 286 (million)
% 38.69/5.99  % (4151998)------------------------------
% 38.69/5.99  % (4151998)------------------------------
% 38.69/5.99  % (4152000)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1830712311:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 38.69/5.99  % (4151944)Instruction limit reached! 
% 38.69/5.99  % (4151944)------------------------------
% 38.69/5.99  % (4151944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151944)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151944)Termination reason: Instruction limit
% 38.69/5.99  % (4151944)Termination phase: Saturation
% 38.69/5.99  % (4151944)Time elapsed: 0.777 s
% 38.69/5.99  % (4151944)Peak memory usage: 29 MB
% 38.69/5.99  % (4151944)Instructions burned: 1472 (million)
% 38.69/5.99  % (4152002)ott-2_1_sil=16000:newcnf=on:random_seed=3633759486:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 38.69/5.99  % (4152000)Cannot represent all propositional literals internally
% 38.69/5.99  % (4152000)Refutation not found, incomplete strategy
% 38.69/5.99  % (4152000)------------------------------
% 38.69/5.99  % (4152000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4152000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4152000)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4152000)Termination reason: Refutation not found, incomplete strategy
% 38.69/5.99  % (4152000)Time elapsed: 0.720 s
% 38.69/5.99  % (4152000)Peak memory usage: 31 MB
% 38.69/5.99  % (4152000)Instructions burned: 1482 (million)
% 38.69/5.99  % (4152000)------------------------------
% 38.69/5.99  % (4152000)------------------------------
% 38.69/5.99  % (4152004)ott+10_1_sil=32000:tgt=ground:random_seed=2611923237:i=5114:av=off_2976 on theBenchmark for (2976ds/5114Mi)
% 38.69/5.99  % (4152002)Instruction limit reached! 
% 38.69/5.99  % (4152002)------------------------------
% 38.69/5.99  % (4152002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4152002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4152002)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4152002)Termination reason: Instruction limit
% 38.69/5.99  % (4152002)Termination phase: Saturation
% 38.69/5.99  % (4152002)Time elapsed: 0.450 s
% 38.69/5.99  % (4152002)Peak memory usage: 18 MB
% 38.69/5.99  % (4152002)Instructions burned: 870 (million)
% 38.69/5.99  % (4152006)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1804364336:i=54282_2976 on theBenchmark for (2976ds/54282Mi)
% 38.69/5.99  % TRYING [1]
% 38.69/5.99  % TRYING [2]
% 38.69/5.99  % TRYING [3]
% 38.69/5.99  % TRYING [5]
% 38.69/5.99  % TRYING [4]
% 38.69/5.99  % (4151927)Instruction limit reached! 
% 38.69/5.99  % (4151927)------------------------------
% 38.69/5.99  % (4151927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4151927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4151927)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4151927)Termination reason: Instruction limit
% 38.69/5.99  % (4151927)Termination phase: Saturation
% 38.69/5.99  % (4151927)Time elapsed: 3.084 s
% 38.69/5.99  % (4151927)Peak memory usage: 50 MB
% 38.69/5.99  % (4151927)Instructions burned: 5131 (million)
% 38.69/5.99  % (4152009)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4148190220:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 38.69/5.99  % TRYING [5]
% 38.69/5.99  % TRYING [5]
% 38.69/5.99  % (4152009) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4151668-4152009"...
% 38.69/5.99  % (4152009)...printing done.
% 38.69/5.99  % (4152009)Refutation found. Thanks to Tanya!
% 38.69/5.99  % SZS status Theorem for theBenchmark
% 38.69/5.99  % SZS output start Proof for theBenchmark
% See solution above
% 38.69/5.99  % (4152009)------------------------------
% 38.69/5.99  % (4152009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.69/5.99  % (4152009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/5.99  % (4152009)CaDiCaL version: 2.1.3
% 38.69/5.99  % (4152009)Termination reason: Refutation
% 38.69/5.99  % (4152009)Time elapsed: 1.293 s
% 38.69/5.99  % (4152009)Peak memory usage: 30 MB
% 38.69/5.99  % (4152009)Instructions burned: 2148 (million)
% 38.69/5.99  % (4151668)Success in time 5.563 s
% 38.69/5.99  % Vampire exiting
%------------------------------------------------------------------------------