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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET614+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 : n016.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 12:44:10 PM UTC 2026

% Result   : Theorem 32.87s 5.49s
% Output   : Refutation 32.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   68 (  22 unt;   4 def)
%            Number of atoms       :  173 (  30 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  169 (  64   ~;  83   |;  18   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   78 (  73   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,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(f2,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(f7,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).

fof(f8,conjecture,
    ! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_difference_union) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f11,plain,
    ? [X0,X1,X2] : difference(difference(X0,X1),X2) != difference(X0,union(X1,X2)),
    inference(ennf_transformation,[],[f9]) ).

fof(f12,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,[],[f1]) ).

fof(f13,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,[],[f12]) ).

fof(f14,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,[],[f2]) ).

fof(f15,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,[],[f14]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X1)
              | member(X2,X0) ) ) )
      & ( ! [X2] :
            ( ( member(X2,X0)
              | ~ member(X2,X1) )
            & ( member(X2,X1)
              | ~ member(X2,X0) ) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X1)
              | member(X2,X0) ) ) )
      & ( ! [X3] :
            ( ( member(X3,X0)
              | ~ member(X3,X1) )
            & ( member(X3,X1)
              | ~ member(X3,X0) ) )
        | X0 != X1 ) ),
    inference(rectify,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ( ( ~ member(sK1(X0,X1),X1)
            | ~ member(sK1(X0,X1),X0) )
          & ( member(sK1(X0,X1),X1)
            | member(sK1(X0,X1),X0) ) ) )
      & ( ! [X3] :
            ( ( member(X3,X0)
              | ~ member(X3,X1) )
            & ( member(X3,X1)
              | ~ member(X3,X0) ) )
        | X0 != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f22]) ).

fof(f24,plain,
    difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f11]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X1)
      | member(sK1(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X1)
      | X0 = X1
      | ~ member(sK1(X0,X1),X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f43,plain,
    difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
    inference(cnf_transformation,[],[f24]) ).

fof(f48,definition,
    sF5 = difference(sK2,sK3),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f49,plain,
    difference(sK2,sK3) = sF5,
    inference(reorient_equations,[],[f48]) ).

fof(f50,definition,
    sF6 = difference(sF5,sK4),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f51,plain,
    difference(sF5,sK4) = sF6,
    inference(reorient_equations,[],[f50]) ).

fof(f52,definition,
    sF7 = union(sK3,sK4),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f53,plain,
    union(sK3,sK4) = sF7,
    inference(reorient_equations,[],[f52]) ).

fof(f54,definition,
    sF8 = difference(sK2,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f55,plain,
    difference(sK2,sF7) = sF8,
    inference(reorient_equations,[],[f54]) ).

fof(f56,plain,
    sF6 != sF8,
    inference(definition_folding,[],[f43,f55,f53,f51,f49]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | member(X0,sF7) ),
    inference(superposition,[],[f26,f53]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ member(X0,sK3)
      | member(X0,sF7) ),
    inference(superposition,[],[f27,f53]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ member(X0,sF5)
      | ~ member(X0,sK3) ),
    inference(superposition,[],[f28,f49]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | ~ member(X0,sF7) ),
    inference(superposition,[],[f28,f55]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | ~ member(X0,sK4) ),
    inference(superposition,[],[f28,f51]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ member(X0,sF5)
      | member(X0,sK2) ),
    inference(superposition,[],[f29,f49]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | member(X0,sK2) ),
    inference(superposition,[],[f29,f55]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sF5) ),
    inference(superposition,[],[f29,f51]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ member(X0,sF7)
      | member(X0,sK4)
      | member(X0,sK3) ),
    inference(superposition,[],[f25,f53]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ member(X0,sK2)
      | member(X0,sF5)
      | member(X0,sK3) ),
    inference(superposition,[],[f30,f49]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ member(X0,sK2)
      | member(X0,sF8)
      | member(X0,sF7) ),
    inference(superposition,[],[f30,f55]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ member(X0,sF5)
      | member(X0,sF6)
      | member(X0,sK4) ),
    inference(superposition,[],[f30,f51]) ).

fof(f110,plain,
    ! [X0] :
      ( member(sK1(X0,sF8),sK2)
      | member(sK1(X0,sF8),X0)
      | sF8 = X0 ),
    inference(resolution,[],[f41,f67]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ member(sK1(X0,sF8),sF7)
      | sF8 = X0
      | member(sK1(X0,sF8),X0) ),
    inference(resolution,[],[f41,f64]) ).

fof(f119,plain,
    ! [X0] :
      ( member(sK1(sF6,X0),sF5)
      | member(sK1(sF6,X0),X0)
      | sF6 = X0 ),
    inference(resolution,[],[f41,f68]) ).

fof(f1094,plain,
    ( member(sK1(sF6,sF8),sK2)
    | sF6 = sF8
    | member(sK1(sF6,sF8),sF5) ),
    inference(resolution,[],[f110,f68]) ).

fof(f1104,plain,
    ( member(sK1(sF6,sF8),sK2)
    | member(sK1(sF6,sF8),sF5) ),
    inference(forward_subsumption_resolution,[],[f1094,f56]) ).

fof(f1106,plain,
    member(sK1(sF6,sF8),sK2),
    inference(forward_subsumption_resolution,[],[f1104,f66]) ).

fof(f1107,plain,
    ( member(sK1(sF6,sF8),sF8)
    | member(sK1(sF6,sF8),sF7) ),
    inference(resolution,[],[f1106,f97]) ).

fof(f1108,plain,
    ( member(sK1(sF6,sF8),sF5)
    | member(sK1(sF6,sF8),sK3) ),
    inference(resolution,[],[f1106,f96]) ).

fof(f1154,plain,
    ( member(sK1(sF6,sF8),sF7)
    | sF6 = sF8
    | ~ member(sK1(sF6,sF8),sF6) ),
    inference(resolution,[],[f1107,f42]) ).

fof(f1157,plain,
    ( ~ member(sK1(sF6,sF8),sF6)
    | member(sK1(sF6,sF8),sF7) ),
    inference(forward_subsumption_resolution,[],[f1154,f56]) ).

fof(f1160,plain,
    ( member(sK1(sF6,sF8),sF6)
    | member(sK1(sF6,sF8),sK3)
    | member(sK1(sF6,sF8),sK4) ),
    inference(resolution,[],[f1108,f98]) ).

fof(f1174,plain,
    ( member(sK1(sF6,sF8),sF5)
    | sF6 = sF8
    | ~ member(sK1(sF6,sF8),sF7) ),
    inference(resolution,[],[f119,f64]) ).

fof(f1178,plain,
    ( ~ member(sK1(sF6,sF8),sF7)
    | member(sK1(sF6,sF8),sF5) ),
    inference(forward_subsumption_resolution,[],[f1174,f56]) ).

fof(f1206,plain,
    ( member(sK1(sF6,sF8),sK3)
    | member(sK1(sF6,sF8),sK4)
    | member(sK1(sF6,sF8),sF7) ),
    inference(resolution,[],[f1160,f1157]) ).

fof(f1209,plain,
    ( member(sK1(sF6,sF8),sK4)
    | member(sK1(sF6,sF8),sF7) ),
    inference(forward_subsumption_resolution,[],[f1206,f60]) ).

fof(f1210,plain,
    member(sK1(sF6,sF8),sF7),
    inference(forward_subsumption_resolution,[],[f1209,f57]) ).

fof(f1222,plain,
    member(sK1(sF6,sF8),sF5),
    inference(resolution,[],[f1210,f1178]) ).

fof(f1223,plain,
    ( sF6 = sF8
    | member(sK1(sF6,sF8),sF6) ),
    inference(resolution,[],[f1210,f111]) ).

fof(f1224,plain,
    ( member(sK1(sF6,sF8),sK4)
    | member(sK1(sF6,sF8),sK3) ),
    inference(resolution,[],[f1210,f88]) ).

fof(f1225,plain,
    member(sK1(sF6,sF8),sF6),
    inference(forward_subsumption_resolution,[],[f1223,f56]) ).

fof(f1239,plain,
    ~ member(sK1(sF6,sF8),sK3),
    inference(resolution,[],[f1222,f63]) ).

fof(f1252,plain,
    ~ member(sK1(sF6,sF8),sK4),
    inference(resolution,[],[f1225,f65]) ).

fof(f1315,plain,
    member(sK1(sF6,sF8),sK3),
    inference(resolution,[],[f1224,f1252]) ).

fof(f1320,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1315,f1239]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET614+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36  % Computer : n016.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 28 02:24:32 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  Running first-order model finding
% 0.12/0.39  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
% 27.63/4.35  % (3195645)Will run a generic schedule for satisfiability detection.
% 27.63/4.35  % (3195650)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1264226255_2999 on theBenchmark for (2999ds/0Mi)
% 27.63/4.35  % TRYING [1]
% 27.63/4.35  % TRYING [2]
% 27.63/4.35  % TRYING [3]
% 27.63/4.35  % TRYING [4]
% 27.63/4.35  % (3195651)% WARNING: option uhcvi not known.
% 27.63/4.35  % (3195654)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3545192522:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.63/4.35  % (3195652)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3925135158:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.63/4.35  % (3195653)dis+10_1_sil=32000:sp=arity:random_seed=1419084010:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.63/4.35  % (3195655)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2127486967:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.63/4.35  % (3195656)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1749415611:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.63/4.35  % (3195651)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=393666838:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.63/4.35  % TRYING [5]
% 27.63/4.35  % (3195653)Instruction limit reached! 
% 27.63/4.35  % (3195653)------------------------------
% 27.63/4.35  % (3195653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.35  % (3195653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.35  % (3195653)CaDiCaL version: 2.1.3
% 27.63/4.35  % (3195653)Termination reason: Instruction limit
% 27.63/4.35  % (3195653)Termination phase: Saturation
% 27.63/4.35  % (3195653)Time elapsed: 0.062 s
% 27.63/4.35  % (3195653)Peak memory usage: 12 MB
% 27.63/4.35  % (3195653)Instructions burned: 104 (million)
% 27.63/4.35  % (3195654)Instruction limit reached! 
% 27.63/4.35  % (3195654)------------------------------
% 27.63/4.35  % (3195654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.35  % (3195654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.35  % (3195654)CaDiCaL version: 2.1.3
% 27.63/4.35  % (3195654)Termination reason: Instruction limit
% 27.63/4.35  % (3195654)Termination phase: Saturation
% 27.63/4.35  % (3195654)Time elapsed: 0.067 s
% 27.63/4.35  % (3195654)Peak memory usage: 12 MB
% 27.63/4.35  % (3195654)Instructions burned: 118 (million)
% 27.63/4.35  % (3195655)Instruction limit reached! 
% 27.63/4.35  % (3195655)------------------------------
% 27.63/4.35  % (3195655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.35  % (3195655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.35  % (3195655)CaDiCaL version: 2.1.3
% 27.63/4.35  % (3195655)Termination reason: Instruction limit
% 27.63/4.35  % (3195655)Termination phase: Saturation
% 27.63/4.35  % (3195655)Time elapsed: 0.078 s
% 27.63/4.35  % (3195655)Peak memory usage: 12 MB
% 27.63/4.35  % (3195655)Instructions burned: 131 (million)
% 27.63/4.35  % (3195664)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=850259689:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.63/4.35  % TRYING [1]
% 27.63/4.35  % TRYING [2]
% 27.63/4.35  % TRYING [3]
% 27.63/4.35  % (3195665)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2429029590:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 27.63/4.35  % TRYING [4]
% 27.63/4.35  % (3195656)Instruction limit reached! 
% 27.63/4.35  % (3195656)------------------------------
% 27.63/4.35  % (3195656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.35  % (3195656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.35  % (3195656)CaDiCaL version: 2.1.3
% 27.63/4.35  % (3195656)Termination reason: Instruction limit
% 27.63/4.35  % (3195656)Termination phase: Saturation
% 27.63/4.35  % (3195656)Time elapsed: 0.093 s
% 27.63/4.35  % (3195656)Peak memory usage: 12 MB
% 27.63/4.35  % (3195656)Instructions burned: 161 (million)
% 27.63/4.35  % (3195666)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=3713765382:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.63/4.35  % (3195669)ott-21_1_sil=16000:fs=off:random_seed=299525604:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.63/4.35  % TRYING [5]
% 27.63/4.35  % (3195665)Instruction limit reached! 
% 27.63/4.35  % (3195665)------------------------------
% 27.63/4.35  % (3195665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195665)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195665)Termination reason: Instruction limit
% 32.87/5.49  % (3195665)Termination phase: Saturation
% 32.87/5.49  % (3195665)Time elapsed: 0.080 s
% 32.87/5.49  % (3195665)Peak memory usage: 12 MB
% 32.87/5.49  % (3195665)Instructions burned: 131 (million)
% 32.87/5.49  % (3195672)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1563168074:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 32.87/5.49  % (3195669)Instruction limit reached! 
% 32.87/5.49  % (3195669)------------------------------
% 32.87/5.49  % (3195669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195669)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195669)Termination reason: Instruction limit
% 32.87/5.49  % (3195669)Termination phase: Saturation
% 32.87/5.49  % (3195669)Time elapsed: 0.089 s
% 32.87/5.49  % (3195669)Peak memory usage: 12 MB
% 32.87/5.49  % (3195669)Instructions burned: 181 (million)
% 32.87/5.49  % (3195674)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=367255488:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.87/5.49  % TRYING [1]
% 32.87/5.49  % TRYING [2]
% 32.87/5.49  % TRYING [3]
% 32.87/5.49  % TRYING [4]
% 32.87/5.49  % TRYING [5]
% 32.87/5.49  % TRYING [6]
% 32.87/5.49  % TRYING [6]
% 32.87/5.49  % (3195666)Instruction limit reached! 
% 32.87/5.49  % (3195666)------------------------------
% 32.87/5.49  % (3195666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195666)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195666)Termination reason: Instruction limit
% 32.87/5.49  % (3195666)Termination phase: Saturation
% 32.87/5.49  % (3195666)Time elapsed: 0.371 s
% 32.87/5.49  % (3195666)Peak memory usage: 16 MB
% 32.87/5.49  % (3195666)Instructions burned: 685 (million)
% 32.87/5.49  % (3195672)Instruction limit reached! 
% 32.87/5.49  % (3195672)------------------------------
% 32.87/5.49  % (3195672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195672)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195672)Termination reason: Instruction limit
% 32.87/5.49  % (3195672)Termination phase: Saturation
% 32.87/5.49  % (3195672)Time elapsed: 0.291 s
% 32.87/5.49  % (3195672)Peak memory usage: 15 MB
% 32.87/5.49  % (3195672)Instructions burned: 478 (million)
% 32.87/5.49  % (3195676)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3609056653:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 32.87/5.49  % (3195677)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4229410311:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 32.87/5.49  % TRYING [14]
% 32.87/5.49  % (3195664)Instruction limit reached! 
% 32.87/5.49  % (3195664)------------------------------
% 32.87/5.49  % (3195664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195664)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195664)Termination reason: Instruction limit
% 32.87/5.49  % (3195664)Termination phase: Finite model building SAT solving
% 32.87/5.49  % (3195664)Time elapsed: 0.428 s
% 32.87/5.49  % (3195664)Peak memory usage: 13 MB
% 32.87/5.49  % (3195664)Instructions burned: 715 (million)
% 32.87/5.49  % (3195680)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=538789442: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)
% 32.87/5.49  % (3195674)Instruction limit reached! 
% 32.87/5.49  % (3195674)------------------------------
% 32.87/5.49  % (3195674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195674)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195674)Termination reason: Instruction limit
% 32.87/5.49  % (3195674)Termination phase: Finite model building SAT solving
% 32.87/5.49  % (3195674)Time elapsed: 0.497 s
% 32.87/5.49  % (3195674)Peak memory usage: 13 MB
% 32.87/5.49  % (3195674)Instructions burned: 866 (million)
% 32.87/5.49  % (3195682)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1419187702:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 32.87/5.49  % (3195677)Instruction limit reached! 
% 32.87/5.49  % (3195677)------------------------------
% 32.87/5.49  % (3195677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195677)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195677)Termination reason: Instruction limit
% 32.87/5.49  % (3195677)Termination phase: Finite model building SAT solving
% 32.87/5.49  % (3195677)Time elapsed: 0.336 s
% 32.87/5.49  % (3195677)Peak memory usage: 42 MB
% 32.87/5.49  % (3195677)Instructions burned: 891 (million)
% 32.87/5.49  % (3195684)fmb+10_1_sil=64000:random_seed=2900023393:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 32.87/5.49  % TRYING [1]
% 32.87/5.49  % TRYING [2]
% 32.87/5.49  % TRYING [3]
% 32.87/5.49  % TRYING [4]
% 32.87/5.49  % (3195680)Instruction limit reached! 
% 32.87/5.49  % (3195680)------------------------------
% 32.87/5.49  % (3195680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195680)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195680)Termination reason: Instruction limit
% 32.87/5.49  % (3195680)Termination phase: Saturation
% 32.87/5.49  % (3195680)Time elapsed: 0.354 s
% 32.87/5.49  % (3195680)Peak memory usage: 14 MB
% 32.87/5.49  % (3195680)Instructions burned: 694 (million)
% 32.87/5.49  % TRYING [5]
% 32.87/5.49  % (3195686)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=622436512:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 32.87/5.49  % TRYING [20]
% 32.87/5.49  % TRYING [6]
% 32.87/5.49  % (3195676)Instruction limit reached! 
% 32.87/5.49  % (3195676)------------------------------
% 32.87/5.49  % (3195676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195676)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195676)Termination reason: Instruction limit
% 32.87/5.49  % (3195676)Termination phase: Saturation
% 32.87/5.49  % (3195676)Time elapsed: 0.677 s
% 32.87/5.49  % (3195676)Peak memory usage: 18 MB
% 32.87/5.49  % (3195676)Instructions burned: 1180 (million)
% 32.87/5.49  % (3195688)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3545261938:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 32.87/5.49  % TRYING [8]
% 32.87/5.49  % (3195682)Instruction limit reached! 
% 32.87/5.49  % (3195682)------------------------------
% 32.87/5.49  % (3195682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195682)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195682)Termination reason: Instruction limit
% 32.87/5.49  % (3195682)Termination phase: Saturation
% 32.87/5.49  % (3195682)Time elapsed: 0.500 s
% 32.87/5.49  % (3195682)Peak memory usage: 17 MB
% 32.87/5.49  % (3195682)Instructions burned: 880 (million)
% 32.87/5.49  % (3195690)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=824521344:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 32.87/5.49  % (3195688)Instruction limit reached! 
% 32.87/5.49  % (3195688)------------------------------
% 32.87/5.49  % (3195688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195688)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195688)Termination reason: Instruction limit
% 32.87/5.49  % (3195688)Termination phase: Finite model building SAT solving
% 32.87/5.49  % (3195688)Time elapsed: 0.502 s
% 32.87/5.49  % (3195688)Peak memory usage: 19 MB
% 32.87/5.49  % (3195688)Instructions burned: 921 (million)
% 32.87/5.49  % (3195692)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2624526507:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 32.87/5.49  % (3195692)Instruction limit reached! 
% 32.87/5.49  % (3195692)------------------------------
% 32.87/5.49  % (3195692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195692)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195692)Termination reason: Instruction limit
% 32.87/5.49  % (3195692)Termination phase: Saturation
% 32.87/5.49  % (3195692)Time elapsed: 0.873 s
% 32.87/5.49  % (3195692)Peak memory usage: 31 MB
% 32.87/5.49  % (3195692)Instructions burned: 1473 (million)
% 32.87/5.49  % (3195694)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1462033495:i=6324_2973 on theBenchmark for (2973ds/6324Mi)
% 32.87/5.49  % TRYING [77]
% 32.87/5.49  % TRYING [7]
% 32.87/5.49  % (3195690)Instruction limit reached! 
% 32.87/5.49  % (3195690)------------------------------
% 32.87/5.49  % (3195690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195690)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195690)Termination reason: Instruction limit
% 32.87/5.49  % (3195690)Termination phase: Saturation
% 32.87/5.49  % (3195690)Time elapsed: 2.662 s
% 32.87/5.49  % (3195690)Peak memory usage: 25 MB
% 32.87/5.49  % (3195690)Instructions burned: 5132 (million)
% 32.87/5.49  % (3195696)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1095793916:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 32.87/5.49  % TRYING [16]
% 32.87/5.49  % (3195696)Instruction limit reached! 
% 32.87/5.49  % (3195696)------------------------------
% 32.87/5.49  % (3195696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195696)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195696)Termination reason: Instruction limit
% 32.87/5.49  % (3195696)Termination phase: Finite model building constraint generation
% 32.87/5.49  % (3195696)Time elapsed: 0.846 s
% 32.87/5.49  % (3195696)Peak memory usage: 151 MB
% 32.87/5.49  % (3195696)Instructions burned: 2175 (million)
% 32.87/5.49  % (3195698)ott-2_1_sil=16000:newcnf=on:random_seed=2640544457:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2951 on theBenchmark for (2951ds/869Mi)
% 32.87/5.49  % (3195694)Instruction limit reached! 
% 32.87/5.49  % (3195694)------------------------------
% 32.87/5.49  % (3195694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.49  % (3195694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.49  % (3195694)CaDiCaL version: 2.1.3
% 32.87/5.49  % (3195694)Termination reason: Instruction limit
% 32.87/5.49  % (3195694)Termination phase: Finite model building constraint generation
% 32.87/5.49  % (3195694)Time elapsed: 2.318 s
% 32.87/5.49  % (3195694)Peak memory usage: 495 MB
% 32.87/5.49  % (3195694)Instructions burned: 6325 (million)
% 32.87/5.49  % (3195700)ott+10_1_sil=32000:tgt=ground:random_seed=2028629321:i=5114:av=off_2949 on theBenchmark for (2949ds/5114Mi)
% 32.87/5.49  % (3195700) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3195645-3195700"...
% 32.87/5.49  % (3195700)...printing done.
% 32.87/5.49  % (3195700)Refutation found. Thanks to Tanya!
% 32.87/5.49  % SZS status Theorem for theBenchmark
% 32.87/5.49  % SZS output start Proof for theBenchmark
% See solution above
% 32.87/5.50  % (3195700)------------------------------
% 32.87/5.50  % (3195700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.87/5.50  % (3195700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.50  % (3195700)CaDiCaL version: 2.1.3
% 32.87/5.50  % (3195700)Termination reason: Refutation
% 32.87/5.50  % (3195700)Time elapsed: 0.036 s
% 32.87/5.50  % (3195700)Peak memory usage: 12 MB
% 32.87/5.50  % (3195700)Instructions burned: 58 (million)
% 32.87/5.50  % (3195645)Success in time 5.092 s
% 32.87/5.50  % Vampire exiting
%------------------------------------------------------------------------------