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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET595+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 12:44:03 PM UTC 2026

% Result   : Theorem 22.50s 8.68s
% Output   : Refutation 22.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   60 (  13 unt;   2 def)
%            Number of atoms       :  158 (  19 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  151 (  53   ~;  68   |;  22   &)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   98 (  94   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X0)
        | member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( member(X2,X0)
        & ~ member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).

fof(f6,axiom,
    ! [X0,X1] : union(X0,X1) = union(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).

fof(f9,conjecture,
    ! [X0,X1] :
      ( subset(X0,X1)
     => X1 = union(X0,difference(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th54) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1] :
        ( subset(X0,X1)
       => X1 = union(X0,difference(X1,X0)) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f13,plain,
    ? [X0,X1] :
      ( union(X0,difference(X1,X0)) != X1
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,union(X0,X1))
        | ( ~ member(X2,X0)
          & ~ member(X2,X1) ) )
      & ( member(X2,X0)
        | member(X2,X1)
        | ~ member(X2,union(X0,X1)) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,union(X0,X1))
        | ( ~ member(X2,X0)
          & ~ member(X2,X1) ) )
      & ( member(X2,X0)
        | member(X2,X1)
        | ~ member(X2,union(X0,X1)) ) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | ~ member(X2,X0)
        | member(X2,X1) )
      & ( ( member(X2,X0)
          & ~ member(X2,X1) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | ~ member(X2,X0)
        | member(X2,X1) )
      & ( ( member(X2,X0)
          & ~ member(X2,X1) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK1(X0,X1),X1)
          & member(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f23]) ).

fof(f28,plain,
    ( sK4 != union(sK3,difference(sK4,sK3))
    & subset(sK3,sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f13]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f37,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f43,plain,
    ! [X0,X1] : union(X0,X1) = union(X1,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    subset(sK3,sK4),
    inference(cnf_transformation,[],[f28]) ).

fof(f50,plain,
    sK4 != union(sK3,difference(sK4,sK3)),
    inference(cnf_transformation,[],[f28]) ).

fof(f55,definition,
    sF5 = difference(sK4,sK3),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f56,plain,
    difference(sK4,sK3) = sF5,
    inference(reorient_equations,[],[f55]) ).

fof(f57,definition,
    sF6 = union(sK3,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f58,plain,
    union(sK3,sF5) = sF6,
    inference(reorient_equations,[],[f57]) ).

fof(f59,plain,
    sK4 != sF6,
    inference(definition_folding,[],[f50,f58,f56]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ member(X0,sF5)
      | member(X0,sK4) ),
    inference(superposition,[],[f35,f56]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK1(X0,union(X1,X2)),X1)
      | subset(X0,union(X1,X2)) ),
    inference(resolution,[],[f39,f33]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK1(X0,union(X1,X2)),X2)
      | subset(X0,union(X1,X2)) ),
    inference(resolution,[],[f39,f32]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ member(X0,sK3)
      | member(X0,sK4) ),
    inference(resolution,[],[f37,f49]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( member(sK1(union(X0,X1),X2),X1)
      | member(sK1(union(X0,X1),X2),X0)
      | subset(union(X0,X1),X2) ),
    inference(resolution,[],[f31,f38]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | member(X0,sF5)
      | member(X0,sK3) ),
    inference(superposition,[],[f36,f56]) ).

fof(f181,plain,
    ! [X0] :
      ( member(sK1(sK4,X0),sF5)
      | member(sK1(sK4,X0),sK3)
      | subset(sK4,X0) ),
    inference(resolution,[],[f94,f38]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ member(sK1(X0,sF6),sK3)
      | subset(X0,sF6) ),
    inference(superposition,[],[f75,f58]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ member(sK1(X0,sF6),sF5)
      | subset(X0,sF6) ),
    inference(superposition,[],[f76,f58]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( member(sK1(union(X0,sK3),X1),sK4)
      | member(sK1(union(X0,sK3),X1),X0)
      | subset(union(X0,sK3),X1) ),
    inference(resolution,[],[f85,f78]) ).

fof(f944,plain,
    ! [X0] :
      ( member(sK1(union(sF5,sK3),X0),sK4)
      | subset(union(sF5,sK3),X0)
      | member(sK1(union(sF5,sK3),X0),sK4) ),
    inference(resolution,[],[f250,f67]) ).

fof(f953,plain,
    ! [X0] :
      ( member(sK1(union(sF5,sK3),X0),sK4)
      | subset(union(sF5,sK3),X0) ),
    inference(duplicate_literal_removal,[],[f944]) ).

fof(f966,plain,
    ! [X0] :
      ( member(sK1(union(sK3,sF5),X0),sK4)
      | subset(union(sF5,sK3),X0) ),
    inference(forward_demodulation,[],[f953,f43]) ).

fof(f977,plain,
    ! [X0] :
      ( member(sK1(sF6,X0),sK4)
      | subset(union(sF5,sK3),X0) ),
    inference(forward_demodulation,[],[f966,f58]) ).

fof(f987,plain,
    ! [X0] :
      ( subset(union(sK3,sF5),X0)
      | member(sK1(sF6,X0),sK4) ),
    inference(forward_demodulation,[],[f977,f43]) ).

fof(f996,plain,
    ! [X0] :
      ( member(sK1(sF6,X0),sK4)
      | subset(sF6,X0) ),
    inference(forward_demodulation,[],[f987,f58]) ).

fof(f1068,plain,
    ( subset(sF6,sK4)
    | subset(sF6,sK4) ),
    inference(resolution,[],[f996,f39]) ).

fof(f1076,plain,
    subset(sF6,sK4),
    inference(duplicate_literal_removal,[],[f1068]) ).

fof(f1100,plain,
    ( ~ subset(sK4,sF6)
    | sK4 = sF6 ),
    inference(resolution,[],[f1076,f42]) ).

fof(f1102,plain,
    ~ subset(sK4,sF6),
    inference(forward_subsumption_resolution,[],[f1100,f59]) ).

fof(f5576,plain,
    ( member(sK1(sK4,sF6),sK3)
    | subset(sK4,sF6)
    | subset(sK4,sF6) ),
    inference(resolution,[],[f181,f233]) ).

fof(f5588,plain,
    ( member(sK1(sK4,sF6),sK3)
    | subset(sK4,sF6) ),
    inference(duplicate_literal_removal,[],[f5576]) ).

fof(f5590,plain,
    subset(sK4,sF6),
    inference(forward_subsumption_resolution,[],[f5588,f215]) ).

fof(f5591,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f5590,f1102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET595+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/5.38  % Computer : n013.cluster.edu
% 0.09/5.38  % Model    : x86_64 x86_64
% 0.09/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38  % Memory   : 8046.5625MB
% 0.09/5.38  % OS       : Linux 6.8.0-71-generic
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Mon Sep 28 02:16:44 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/5.41  Running first-order model finding
% 0.14/5.41  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
% 16.00/7.77  % (744593)Will run a generic schedule for satisfiability detection.
% 16.00/7.77  % (744602)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2423129336:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.00/7.77  % (744599)% WARNING: option uhcvi not known.
% 16.00/7.77  % (744598)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=196564564_2999 on theBenchmark for (2999ds/0Mi)
% 16.00/7.77  % (744600)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3672652226:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.00/7.77  % (744599)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3035010330:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.00/7.77  % (744601)dis+10_1_sil=32000:sp=arity:random_seed=1556894599:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.00/7.77  % (744603)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1249297159:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.00/7.77  % (744604)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3616814294:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.00/7.77  % TRYING [1]
% 16.00/7.77  % TRYING [2]
% 16.00/7.77  % TRYING [3]
% 16.00/7.77  % TRYING [4]
% 16.00/7.77  % TRYING [5]
% 16.00/7.77  % (744602)Instruction limit reached! 
% 16.00/7.77  % (744602)------------------------------
% 16.00/7.77  % (744602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/7.77  % (744602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/7.77  % (744602)CaDiCaL version: 2.1.3
% 16.00/7.77  % (744602)Termination reason: Instruction limit
% 16.00/7.77  % (744602)Termination phase: Saturation
% 16.00/7.77  % (744602)Time elapsed: 0.038 s
% 16.00/7.77  % (744602)Peak memory usage: 12 MB
% 16.00/7.77  % (744602)Instructions burned: 119 (million)
% 16.00/7.77  % TRYING [6]
% 16.00/7.77  % (744612)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2855031777:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.00/7.77  % TRYING [1]
% 16.00/7.77  % TRYING [2]
% 16.00/7.77  % TRYING [3]
% 16.00/7.77  % TRYING [4]
% 16.00/7.77  % TRYING [5]
% 16.00/7.77  % (744601)Instruction limit reached! 
% 16.00/7.77  % (744601)------------------------------
% 16.00/7.77  % (744601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/7.77  % (744601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/7.77  % (744601)CaDiCaL version: 2.1.3
% 16.00/7.77  % (744601)Termination reason: Instruction limit
% 16.00/7.77  % (744601)Termination phase: Saturation
% 16.00/7.77  % (744601)Time elapsed: 0.062 s
% 16.00/7.77  % (744601)Peak memory usage: 12 MB
% 16.00/7.77  % (744601)Instructions burned: 103 (million)
% 16.00/7.77  % (744603)Instruction limit reached! 
% 16.00/7.77  % (744603)------------------------------
% 16.00/7.77  % (744603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/7.77  % (744603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/7.77  % (744603)CaDiCaL version: 2.1.3
% 16.00/7.77  % (744603)Termination reason: Instruction limit
% 16.00/7.77  % (744603)Termination phase: Saturation
% 16.00/7.77  % (744603)Time elapsed: 0.076 s
% 16.00/7.77  % (744603)Peak memory usage: 12 MB
% 16.00/7.77  % (744603)Instructions burned: 131 (million)
% 16.00/7.77  % (744614)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=906947838:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.00/7.77  % TRYING [6]
% 16.00/7.77  % (744615)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=1280640251:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.00/7.77  % (744604)Instruction limit reached! 
% 16.00/7.77  % (744604)------------------------------
% 16.00/7.77  % (744604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/7.77  % (744604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/7.77  % (744604)CaDiCaL version: 2.1.3
% 16.00/7.77  % (744604)Termination reason: Instruction limit
% 16.00/7.77  % (744604)Termination phase: Saturation
% 16.00/7.77  % (744604)Time elapsed: 0.100 s
% 16.00/7.77  % (744604)Peak memory usage: 12 MB
% 16.00/7.77  % (744604)Instructions burned: 159 (million)
% 16.00/7.77  % (744618)ott-21_1_sil=16000:fs=off:random_seed=3117021964:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.00/7.77  % TRYING [7]
% 16.00/7.77  % (744614)Instruction limit reached! 
% 16.00/7.77  % (744614)------------------------------
% 16.00/7.77  % (744614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744614)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744614)Termination reason: Instruction limit
% 22.50/8.67  % (744614)Termination phase: Saturation
% 22.50/8.67  % (744614)Time elapsed: 0.078 s
% 22.50/8.67  % (744614)Peak memory usage: 12 MB
% 22.50/8.67  % (744614)Instructions burned: 131 (million)
% 22.50/8.67  % (744620)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=839784011:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 22.50/8.67  % (744618)Instruction limit reached! 
% 22.50/8.67  % (744618)------------------------------
% 22.50/8.67  % (744618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744618)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744618)Termination reason: Instruction limit
% 22.50/8.67  % (744618)Termination phase: Saturation
% 22.50/8.67  % (744618)Time elapsed: 0.090 s
% 22.50/8.67  % (744618)Peak memory usage: 12 MB
% 22.50/8.67  % (744618)Instructions burned: 180 (million)
% 22.50/8.67  % (744622)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=709431871:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 22.50/8.67  % TRYING [1]
% 22.50/8.67  % TRYING [2]
% 22.50/8.67  % TRYING [3]
% 22.50/8.67  % TRYING [4]
% 22.50/8.67  % TRYING [5]
% 22.50/8.67  % TRYING [8]
% 22.50/8.67  % (744612)Instruction limit reached! 
% 22.50/8.67  % (744612)------------------------------
% 22.50/8.67  % (744612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744612)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744612)Termination reason: Instruction limit
% 22.50/8.67  % (744612)Termination phase: Finite model building constraint generation
% 22.50/8.67  % (744612)Time elapsed: 0.209 s
% 22.50/8.67  % (744612)Peak memory usage: 17 MB
% 22.50/8.67  % (744612)Instructions burned: 722 (million)
% 22.50/8.67  % (744624)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2784892756:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 22.50/8.67  % TRYING [7]
% 22.50/8.67  % TRYING [6]
% 22.50/8.67  % TRYING [8]
% 22.50/8.67  % TRYING [9]
% 22.50/8.67  % (744615)Instruction limit reached! 
% 22.50/8.67  % (744615)------------------------------
% 22.50/8.67  % (744615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744615)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744615)Termination reason: Instruction limit
% 22.50/8.67  % (744615)Termination phase: Saturation
% 22.50/8.67  % (744615)Time elapsed: 0.368 s
% 22.50/8.67  % (744615)Peak memory usage: 16 MB
% 22.50/8.67  % (744615)Instructions burned: 684 (million)
% 22.50/8.67  % (744620)Instruction limit reached! 
% 22.50/8.67  % (744620)------------------------------
% 22.50/8.67  % (744620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744620)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744620)Termination reason: Instruction limit
% 22.50/8.67  % (744620)Termination phase: Saturation
% 22.50/8.67  % (744620)Time elapsed: 0.293 s
% 22.50/8.67  % (744620)Peak memory usage: 14 MB
% 22.50/8.67  % (744620)Instructions burned: 478 (million)
% 22.50/8.67  % (744626)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=609976081:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 22.50/8.67  % (744627)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=1296999336: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)
% 22.50/8.67  % TRYING [14]
% 22.50/8.67  % TRYING [10]
% 22.50/8.67  % TRYING [7]
% 22.50/8.67  % (744624)Instruction limit reached! 
% 22.50/8.67  % (744624)------------------------------
% 22.50/8.67  % (744624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744624)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744624)Termination reason: Instruction limit
% 22.50/8.67  % (744624)Termination phase: Saturation
% 22.50/8.67  % (744624)Time elapsed: 0.354 s
% 22.50/8.67  % (744624)Peak memory usage: 18 MB
% 22.50/8.67  % (744624)Instructions burned: 1179 (million)
% 22.50/8.67  % (744630)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=812143337:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 22.50/8.67  % (744622)Instruction limit reached! 
% 22.50/8.67  % (744622)------------------------------
% 22.50/8.67  % (744622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744622)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744622)Termination reason: Instruction limit
% 22.50/8.67  % (744622)Termination phase: Finite model building SAT solving
% 22.50/8.67  % (744622)Time elapsed: 0.464 s
% 22.50/8.67  % (744622)Peak memory usage: 13 MB
% 22.50/8.67  % (744622)Instructions burned: 865 (million)
% 22.50/8.67  % (744632)fmb+10_1_sil=64000:random_seed=828600196:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 22.50/8.67  % TRYING [1]
% 22.50/8.67  % TRYING [2]
% 22.50/8.67  % TRYING [3]
% 22.50/8.67  % TRYING [4]
% 22.50/8.67  % TRYING [5]
% 22.50/8.67  % TRYING [11]
% 22.50/8.67  % TRYING [6]
% 22.50/8.67  % TRYING [7]
% 22.50/8.67  % (744626)Instruction limit reached! 
% 22.50/8.67  % (744626)------------------------------
% 22.50/8.67  % (744626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744626)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744626)Termination reason: Instruction limit
% 22.50/8.67  % (744626)Termination phase: Finite model building SAT solving
% 22.50/8.67  % (744626)Time elapsed: 0.344 s
% 22.50/8.67  % (744626)Peak memory usage: 44 MB
% 22.50/8.67  % (744626)Instructions burned: 890 (million)
% 22.50/8.67  % (744634)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3439421920:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 22.50/8.67  % TRYING [20]
% 22.50/8.67  % (744627)Instruction limit reached! 
% 22.50/8.67  % (744627)------------------------------
% 22.50/8.67  % (744627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744627)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744627)Termination reason: Instruction limit
% 22.50/8.67  % (744627)Termination phase: Saturation
% 22.50/8.67  % (744627)Time elapsed: 0.404 s
% 22.50/8.67  % (744627)Peak memory usage: 17 MB
% 22.50/8.67  % (744627)Instructions burned: 692 (million)
% 22.50/8.67  % (744630)Instruction limit reached! 
% 22.50/8.67  % (744630)------------------------------
% 22.50/8.67  % (744630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744630)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744630)Termination reason: Instruction limit
% 22.50/8.67  % (744630)Termination phase: Saturation
% 22.50/8.67  % (744630)Time elapsed: 0.274 s
% 22.50/8.67  % (744630)Peak memory usage: 17 MB
% 22.50/8.67  % (744630)Instructions burned: 881 (million)
% 22.50/8.67  % (744637)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4033784333:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 22.50/8.67  % (744636)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1258011253:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 22.50/8.67  % TRYING [8]
% 22.50/8.67  % TRYING [9]
% 22.50/8.67  % TRYING [12]
% 22.50/8.67  % TRYING [10]
% 22.50/8.67  % (744636)Instruction limit reached! 
% 22.50/8.67  % (744636)------------------------------
% 22.50/8.67  % (744636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744636)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744636)Termination reason: Instruction limit
% 22.50/8.67  % (744636)Termination phase: Finite model building SAT solving
% 22.50/8.67  % (744636)Time elapsed: 0.408 s
% 22.50/8.67  % (744636)Peak memory usage: 26 MB
% 22.50/8.67  % (744636)Instructions burned: 922 (million)
% 22.50/8.67  % (744640)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2793084430:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 22.50/8.67  % TRYING [13]
% 22.50/8.67  % (744640)Instruction limit reached! 
% 22.50/8.67  % (744640)------------------------------
% 22.50/8.67  % (744640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.67  % (744640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.67  % (744640)CaDiCaL version: 2.1.3
% 22.50/8.67  % (744640)Termination reason: Instruction limit
% 22.50/8.67  % (744640)Termination phase: Saturation
% 22.50/8.67  % (744640)Time elapsed: 0.734 s
% 22.50/8.67  % (744640)Peak memory usage: 18 MB
% 22.50/8.67  % (744640)Instructions burned: 1474 (million)
% 22.50/8.67  % (744642)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=971561922:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 22.50/8.67  % TRYING [77]
% 22.50/8.67  % (744637)Instruction limit reached! 
% 22.50/8.68  % (744637)------------------------------
% 22.50/8.68  % (744637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.68  % (744637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.68  % (744637)CaDiCaL version: 2.1.3
% 22.50/8.68  % (744637)Termination reason: Instruction limit
% 22.50/8.68  % (744637)Termination phase: Saturation
% 22.50/8.68  % (744637)Time elapsed: 1.400 s
% 22.50/8.68  % (744637)Peak memory usage: 26 MB
% 22.50/8.68  % (744637)Instructions burned: 5132 (million)
% 22.50/8.68  % (744644)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=923989243:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 22.50/8.68  % TRYING [16]
% 22.50/8.68  % TRYING [14]
% 22.50/8.68  % (744644)Instruction limit reached! 
% 22.50/8.68  % (744644)------------------------------
% 22.50/8.68  % (744644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.68  % (744644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.68  % (744644)CaDiCaL version: 2.1.3
% 22.50/8.68  % (744644)Termination reason: Instruction limit
% 22.50/8.68  % (744644)Termination phase: Finite model building constraint generation
% 22.50/8.68  % (744644)Time elapsed: 0.470 s
% 22.50/8.68  % (744644)Peak memory usage: 156 MB
% 22.50/8.68  % (744644)Instructions burned: 2175 (million)
% 22.50/8.68  % (744646)ott-2_1_sil=16000:newcnf=on:random_seed=188544354:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 22.50/8.68  % (744646)Instruction limit reached! 
% 22.50/8.68  % (744646)------------------------------
% 22.50/8.68  % (744646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.68  % (744646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.68  % (744646)CaDiCaL version: 2.1.3
% 22.50/8.68  % (744646)Termination reason: Instruction limit
% 22.50/8.68  % (744646)Termination phase: Saturation
% 22.50/8.68  % (744646)Time elapsed: 0.275 s
% 22.50/8.68  % (744646)Peak memory usage: 17 MB
% 22.50/8.68  % (744646)Instructions burned: 870 (million)
% 22.50/8.68  % (744648)ott+10_1_sil=32000:tgt=ground:random_seed=1629765908:i=5114:av=off_2968 on theBenchmark for (2968ds/5114Mi)
% 22.50/8.68  % (744648) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-744593-744648"...
% 22.50/8.68  % (744648)...printing done.
% 22.50/8.68  % (744648)Refutation found. Thanks to Tanya!
% 22.50/8.68  % SZS status Theorem for theBenchmark
% 22.50/8.68  % SZS output start Proof for theBenchmark
% See solution above
% 22.50/8.68  % (744648)------------------------------
% 22.50/8.68  % (744648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.50/8.68  % (744648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.50/8.68  % (744648)CaDiCaL version: 2.1.3
% 22.50/8.68  % (744648)Termination reason: Refutation
% 22.50/8.68  % (744648)Time elapsed: 0.075 s
% 22.50/8.68  % (744648)Peak memory usage: 13 MB
% 22.50/8.68  % (744648)Instructions burned: 249 (million)
% 22.50/8.68  % (744593)Success in time 3.252 s
% 22.50/8.68  % Vampire exiting
%------------------------------------------------------------------------------