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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR077+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 09:42:41 AM UTC 2026

% Result   : Theorem 0.19s 7.71s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  13 unt;   0 def)
%            Number of atoms       :   89 (  22 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   91 (  38   ~;  42   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   6 usr;   8 con; 0-1 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26456,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_26635) ).

fof(f26457,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__instance(X2,X0) )
       => s__instance(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_26636) ).

fof(f27536,axiom,
    s__subclass(s__NegativeRealNumber,s__RealNumber),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27718) ).

fof(f32338,axiom,
    ! [X0] :
      ( s__instance(X0,s__RealNumber)
     => ( s__instance(X0,s__NonnegativeRealNumber)
       => ( s__SignumFn(X0) = "1"
          | s__SignumFn(X0) = "0" ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_32529) ).

fof(f32340,axiom,
    ! [X0] :
      ( s__instance(X0,s__RealNumber)
     => ( s__instance(X0,s__NegativeRealNumber)
       => s__SignumFn(X0) = "-1" ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_32531) ).

fof(f145102,axiom,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(f145103,conjecture,
    ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(f145104,negated_conjecture,
    ~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(negated_conjecture,[status(cth)],[f145103]) ).

fof(f145105,plain,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(flattening,[],[f145104]) ).

fof(f145240,plain,
    ! [X0] :
      ( s__SignumFn(X0) = "-1"
      | ~ s__instance(X0,s__NegativeRealNumber)
      | ~ s__instance(X0,s__RealNumber) ),
    inference(ennf_transformation,[],[f32340]) ).

fof(f145241,plain,
    ! [X0] :
      ( s__SignumFn(X0) = "-1"
      | ~ s__instance(X0,s__NegativeRealNumber)
      | ~ s__instance(X0,s__RealNumber) ),
    inference(flattening,[],[f145240]) ).

fof(f145246,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f26457]) ).

fof(f145247,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f145246]) ).

fof(f145248,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26456]) ).

fof(f145302,plain,
    ! [X0] :
      ( s__SignumFn(X0) = "1"
      | s__SignumFn(X0) = "0"
      | ~ s__instance(X0,s__NonnegativeRealNumber)
      | ~ s__instance(X0,s__RealNumber) ),
    inference(ennf_transformation,[],[f32338]) ).

fof(f145303,plain,
    ! [X0] :
      ( s__SignumFn(X0) = "1"
      | s__SignumFn(X0) = "0"
      | ~ s__instance(X0,s__NonnegativeRealNumber)
      | ~ s__instance(X0,s__RealNumber) ),
    inference(flattening,[],[f145302]) ).

fof(f145559,plain,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(cnf_transformation,[],[f145105]) ).

fof(f145564,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__NegativeRealNumber)
      | "-1" = s__SignumFn(X0)
      | ~ s__instance(X0,s__RealNumber) ),
    inference(cnf_transformation,[],[f145241]) ).

fof(f145569,plain,
    s__subclass(s__NegativeRealNumber,s__RealNumber),
    inference(cnf_transformation,[],[f27536]) ).

fof(f145570,plain,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    inference(cnf_transformation,[],[f145102]) ).

fof(f145573,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f145247]) ).

fof(f145574,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f145248]) ).

fof(f145575,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f145248]) ).

fof(f145677,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__NonnegativeRealNumber)
      | "0" = s__SignumFn(X0)
      | "1" = s__SignumFn(X0)
      | ~ s__instance(X0,s__RealNumber) ),
    inference(cnf_transformation,[],[f145303]) ).

fof(f146542,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f145573,f145574]) ).

fof(f146544,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f146542,f145575]) ).

fof(f146547,plain,
    ! [X0] :
      ( ~ s__subclass(s__NegativeRealNumber,X0)
      | s__instance(s__Number3_1,X0) ),
    inference(resolution,[],[f145559,f146544]) ).

fof(f146548,plain,
    s__instance(s__Number3_1,s__RealNumber),
    inference(resolution,[],[f146547,f145569]) ).

fof(f146551,plain,
    ( "-1" = s__SignumFn(s__Number3_1)
    | ~ s__instance(s__Number3_1,s__RealNumber) ),
    inference(resolution,[],[f145564,f145559]) ).

fof(f146552,plain,
    "-1" = s__SignumFn(s__Number3_1),
    inference(forward_subsumption_resolution,[],[f146551,f146548]) ).

fof(f146553,plain,
    ( "0" = s__SignumFn(s__Number3_1)
    | "1" = s__SignumFn(s__Number3_1)
    | ~ s__instance(s__Number3_1,s__RealNumber) ),
    inference(resolution,[],[f145570,f145677]) ).

fof(f146555,plain,
    ( "0" = s__SignumFn(s__Number3_1)
    | "1" = s__SignumFn(s__Number3_1) ),
    inference(forward_subsumption_resolution,[],[f146553,f146548]) ).

fof(f146556,plain,
    ( "0" = "-1"
    | "1" = s__SignumFn(s__Number3_1) ),
    inference(forward_demodulation,[],[f146555,f146552]) ).

fof(f146557,plain,
    "1" = s__SignumFn(s__Number3_1),
    inference(distinct_equality_removal,[],[f146556]) ).

fof(f146559,plain,
    "1" = "-1",
    inference(superposition,[],[f146552,f146557]) ).

fof(f146560,plain,
    $false,
    inference(distinct_equality_removal,[],[f146559]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR077+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n019.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:27:18 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.29/5.05  % (350073)Detected formulas, will run a generic FOF schedule.
% 14.29/5.05  % (350080)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2540577143:i=141695:sd=1:nm=32:gsp=on:ss=included_2971 on theBenchmark for (2971ds/141695Mi)
% 14.29/5.05  % (350078)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3361352500:i=141193_2971 on theBenchmark for (2971ds/141193Mi)
% 14.29/5.05  % (350079)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3684450126:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2971 on theBenchmark for (2971ds/134677Mi)
% 14.29/5.05  % (350084)dis-21_1_sil=8000:lcm=predicate:random_seed=2447349028:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2971 on theBenchmark for (2971ds/129Mi)
% 14.29/5.05  % (350081)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2767995657:i=109:sd=1:ins=1:gsp=on:ss=axioms_2971 on theBenchmark for (2971ds/109Mi)
% 14.29/5.05  % (350082)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2335621590:i=119:av=off:ss=axioms_2971 on theBenchmark for (2971ds/119Mi)
% 14.29/5.05  % (350083)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1710462592:s2a=on:i=139:gtg=position_2971 on theBenchmark for (2971ds/139Mi)
% 14.29/5.05  % (350081)Instruction limit reached! 
% 14.29/5.05  % (350081)------------------------------
% 14.29/5.05  % (350081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/5.05  % (350081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/5.05  % (350081)CaDiCaL version: 2.1.3
% 14.29/5.05  % (350081)Termination reason: Instruction limit
% 14.29/5.05  % (350081)Termination phase: SInE selection
% 14.29/5.05  % (350081)Time elapsed: 0.060 s
% 14.29/5.05  % (350081)Peak memory usage: 164 MB
% 14.29/5.05  % (350081)Instructions burned: 110 (million)
% 14.29/5.05  % (350082)Instruction limit reached! 
% 14.29/5.05  % (350082)------------------------------
% 14.29/5.05  % (350082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/5.05  % (350082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/5.05  % (350082)CaDiCaL version: 2.1.3
% 14.29/5.05  % (350082)Termination reason: Instruction limit
% 14.29/5.05  % (350082)Termination phase: SInE selection
% 14.29/5.05  % (350082)Time elapsed: 0.063 s
% 14.29/5.05  % (350082)Peak memory usage: 164 MB
% 14.29/5.05  % (350082)Instructions burned: 120 (million)
% 14.29/5.05  % (350084)Instruction limit reached! 
% 14.29/5.05  % (350084)------------------------------
% 14.29/5.05  % (350084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/5.05  % (350084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/5.05  % (350084)CaDiCaL version: 2.1.3
% 14.29/5.05  % (350084)Termination reason: Instruction limit
% 14.29/5.05  % (350084)Termination phase: SInE selection
% 14.29/5.05  % (350084)Time elapsed: 0.068 s
% 14.29/5.05  % (350084)Peak memory usage: 164 MB
% 14.29/5.05  % (350084)Instructions burned: 130 (million)
% 14.29/5.05  % (350083)Instruction limit reached! 
% 14.29/5.05  % (350083)------------------------------
% 14.29/5.05  % (350083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/5.05  % (350083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/5.05  % (350083)CaDiCaL version: 2.1.3
% 14.29/5.05  % (350083)Termination reason: Instruction limit
% 14.29/5.05  % (350083)Termination phase: Property scanning
% 14.29/5.05  % (350083)Time elapsed: 0.077 s
% 14.29/5.05  % (350083)Peak memory usage: 165 MB
% 14.29/5.05  % (350083)Instructions burned: 141 (million)
% 14.29/5.05  % (350092)lrs+10_1_sil=8000:sp=occurrence:random_seed=917605456:i=285:sd=3:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/285Mi)
% 14.29/5.05  % (350094)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1396278033:i=325:sd=1:ss=axioms:sgt=32_2969 on theBenchmark for (2969ds/325Mi)
% 14.29/5.05  % (350093)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3396671254:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/157Mi)
% 14.29/5.05  % (350095)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1416693030:s2a=on:i=248:s2at=1.23:gtg=position_2969 on theBenchmark for (2969ds/248Mi)
% 14.29/5.05  % (350093)Instruction limit reached! 
% 14.29/5.05  % (350093)------------------------------
% 17.61/5.60  % (350093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.60  % (350093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.60  % (350093)CaDiCaL version: 2.1.3
% 17.61/5.60  % (350093)Termination reason: Instruction limit
% 17.61/5.60  % (350093)Termination phase: Property scanning
% 17.61/5.60  % (350093)Time elapsed: 0.084 s
% 17.61/5.60  % (350093)Peak memory usage: 165 MB
% 17.61/5.60  % (350093)Instructions burned: 158 (million)
% 17.61/5.60  % (350092)Instruction limit reached! 
% 17.61/5.60  % (350092)------------------------------
% 17.61/5.60  % (350092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.60  % (350092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.60  % (350092)CaDiCaL version: 2.1.3
% 17.61/5.60  % (350092)Termination reason: Instruction limit
% 17.61/5.60  % (350092)Termination phase: SInE selection
% 17.61/5.60  % (350092)Time elapsed: 0.158 s
% 17.61/5.60  % (350092)Peak memory usage: 165 MB
% 17.61/5.60  % (350092)Instructions burned: 285 (million)
% 17.61/5.60  % (350095)Instruction limit reached! 
% 17.61/5.60  % (350095)------------------------------
% 17.61/5.61  % (350095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.61  % (350095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.61  % (350095)CaDiCaL version: 2.1.3
% 17.61/5.61  % (350095)Termination reason: Instruction limit
% 17.61/5.61  % (350095)Termination phase: Property scanning
% 17.61/5.61  % (350095)Time elapsed: 0.122 s
% 17.61/5.61  % (350095)Peak memory usage: 165 MB
% 17.61/5.61  % (350095)Instructions burned: 248 (million)
% 17.61/5.61  % (350094)Instruction limit reached! 
% 17.61/5.61  % (350094)------------------------------
% 17.61/5.61  % (350094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.61  % (350094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.61  % (350094)CaDiCaL version: 2.1.3
% 17.61/5.61  % (350094)Termination reason: Instruction limit
% 17.61/5.61  % (350094)Termination phase: SInE selection
% 17.61/5.61  % (350094)Time elapsed: 0.178 s
% 17.61/5.61  % (350094)Peak memory usage: 164 MB
% 17.61/5.61  % (350094)Instructions burned: 326 (million)
% 17.61/5.61  % (350100)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1168555579:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 17.61/5.61  % (350101)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3468906666:i=2350_2966 on theBenchmark for (2966ds/2350Mi)
% 17.61/5.61  % (350102)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1199469024:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 17.61/5.61  % (350103)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3886668443:i=127:av=off:fsr=off:sup=off_2966 on theBenchmark for (2966ds/127Mi)
% 17.61/5.61  % (350102)Instruction limit reached! 
% 17.61/5.61  % (350102)------------------------------
% 17.61/5.61  % (350102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.61  % (350102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.61  % (350102)CaDiCaL version: 2.1.3
% 17.61/5.61  % (350102)Termination reason: Instruction limit
% 17.61/5.61  % (350102)Termination phase: SInE selection
% 17.61/5.61  % (350102)Time elapsed: 0.070 s
% 17.61/5.61  % (350102)Peak memory usage: 165 MB
% 17.61/5.61  % (350102)Instructions burned: 114 (million)
% 17.61/5.61  % (350103)Instruction limit reached! 
% 17.61/5.61  % (350103)------------------------------
% 17.61/5.61  % (350103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.61  % (350103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.61  % (350103)CaDiCaL version: 2.1.3
% 17.61/5.61  % (350103)Termination reason: Instruction limit
% 17.61/5.61  % (350103)Termination phase: Preprocessing 1
% 17.61/5.61  % (350103)Time elapsed: 0.083 s
% 17.61/5.61  % (350103)Peak memory usage: 165 MB
% 17.61/5.61  % (350103)Instructions burned: 127 (million)
% 17.61/5.61  % (350100)Instruction limit reached! 
% 17.61/5.61  % (350100)------------------------------
% 17.61/5.61  % (350100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/5.61  % (350100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/5.61  % (350100)CaDiCaL version: 2.1.3
% 17.61/5.61  % (350100)Termination reason: Instruction limit
% 17.61/5.61  % (350100)Termination phase: SInE selection
% 17.61/5.61  % (350100)Time elapsed: 0.164 s
% 16.04/7.45  % (350100)Peak memory usage: 165 MB
% 16.04/7.45  % (350100)Instructions burned: 294 (million)
% 16.04/7.45  % (350108)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=662170658:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2964 on theBenchmark for (2964ds/114Mi)
% 16.04/7.45  % (350109)lrs+10_1_sil=8000:sp=occurrence:random_seed=2212253020:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2964 on theBenchmark for (2964ds/907Mi)
% 16.04/7.45  % (350110)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3249836969:i=437:sd=1:aac=none:ss=included_2964 on theBenchmark for (2964ds/437Mi)
% 16.04/7.45  % (350108)Instruction limit reached! 
% 16.04/7.45  % (350108)------------------------------
% 16.04/7.45  % (350108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350108)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350108)Termination reason: Instruction limit
% 16.04/7.45  % (350108)Termination phase: Property scanning
% 16.04/7.45  % (350108)Time elapsed: 0.064 s
% 16.04/7.45  % (350108)Peak memory usage: 165 MB
% 16.04/7.45  % (350108)Instructions burned: 115 (million)
% 16.04/7.45  % (350114)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1001026185:i=5202:ss=axioms:sgt=16_2962 on theBenchmark for (2962ds/5202Mi)
% 16.04/7.45  % (350080)Refutation not found, incomplete strategy
% 16.04/7.45  % (350080)------------------------------
% 16.04/7.45  % (350080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350080)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350080)Termination reason: Refutation not found, incomplete strategy
% 16.04/7.45  % (350080)Time elapsed: 1.009 s
% 16.04/7.45  % (350080)Peak memory usage: 290 MB
% 16.04/7.45  % (350080)Instructions burned: 2526 (million)
% 16.04/7.45  % (350110)Refutation not found, incomplete strategy
% 16.04/7.45  % (350110)------------------------------
% 16.04/7.45  % (350110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350110)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350110)Termination reason: Refutation not found, incomplete strategy
% 16.04/7.45  % (350110)Time elapsed: 0.252 s
% 16.04/7.45  % (350110)Peak memory usage: 168 MB
% 16.04/7.45  % (350110)Instructions burned: 396 (million)
% 16.04/7.45  % (350080)------------------------------
% 16.04/7.45  % (350080)------------------------------
% 16.04/7.45  % (350116)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=724377574:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2958 on theBenchmark for (2958ds/134Mi)
% 16.04/7.45  % (350109)Instruction limit reached! 
% 16.04/7.45  % (350109)------------------------------
% 16.04/7.45  % (350109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350109)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350109)Termination reason: Instruction limit
% 16.04/7.45  % (350109)Termination phase: Saturation
% 16.04/7.45  % (350109)Time elapsed: 0.535 s
% 16.04/7.45  % (350109)Peak memory usage: 179 MB
% 16.04/7.45  % (350109)Instructions burned: 908 (million)
% 16.04/7.45  % (350110)------------------------------
% 16.04/7.45  % (350110)------------------------------
% 16.04/7.45  % (350116)Instruction limit reached! 
% 16.04/7.45  % (350116)------------------------------
% 16.04/7.45  % (350116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350116)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350116)Termination reason: Instruction limit
% 16.04/7.45  % (350116)Termination phase: SInE selection
% 16.04/7.45  % (350116)Time elapsed: 0.048 s
% 16.04/7.45  % (350116)Peak memory usage: 165 MB
% 16.04/7.45  % (350116)Instructions burned: 134 (million)
% 16.04/7.45  % (350120)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2013702720:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/125Mi)
% 16.04/7.45  % (350118)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2418601112:st=8:i=592:sd=3:ep=RST:ss=axioms_2957 on theBenchmark for (2957ds/592Mi)
% 16.04/7.45  % (350119)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1841973812:st=3:i=13193:sd=3:ss=axioms_2957 on theBenchmark for (2957ds/13193Mi)
% 16.04/7.45  % (350120)Instruction limit reached! 
% 16.04/7.45  % (350120)------------------------------
% 16.04/7.45  % (350120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350120)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350120)Termination reason: Instruction limit
% 16.04/7.45  % (350120)Termination phase: Property scanning
% 16.04/7.45  % (350120)Time elapsed: 0.039 s
% 16.04/7.45  % (350120)Peak memory usage: 165 MB
% 16.04/7.45  % (350120)Instructions burned: 126 (million)
% 16.04/7.45  % (350124)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4121795183:i=134:gtgl=5:slsql=off:gtg=exists_sym_2955 on theBenchmark for (2955ds/134Mi)
% 16.04/7.45  % (350124)Instruction limit reached! 
% 16.04/7.45  % (350124)------------------------------
% 16.04/7.45  % (350124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350124)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350124)Termination reason: Instruction limit
% 16.04/7.45  % (350124)Termination phase: Property scanning
% 16.04/7.45  % (350124)Time elapsed: 0.043 s
% 16.04/7.45  % (350124)Peak memory usage: 165 MB
% 16.04/7.45  % (350124)Instructions burned: 136 (million)
% 16.04/7.45  % (350101)Instruction limit reached! 
% 16.04/7.45  % (350101)------------------------------
% 16.04/7.45  % (350101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350101)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350101)Termination reason: Instruction limit
% 16.04/7.45  % (350101)Termination phase: Property scanning
% 16.04/7.45  % (350101)Time elapsed: 1.197 s
% 16.04/7.45  % (350101)Peak memory usage: 193 MB
% 16.04/7.45  % (350101)Instructions burned: 2352 (million)
% 16.04/7.45  % (350126)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2133587496:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2954 on theBenchmark for (2954ds/141Mi)
% 16.04/7.45  % (350126)Instruction limit reached! 
% 16.04/7.45  % (350126)------------------------------
% 16.04/7.45  % (350126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350126)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350126)Termination reason: Instruction limit
% 16.04/7.45  % (350126)Termination phase: SInE selection
% 16.04/7.45  % (350126)Time elapsed: 0.047 s
% 16.04/7.45  % (350126)Peak memory usage: 165 MB
% 16.04/7.45  % (350126)Instructions burned: 143 (million)
% 16.04/7.45  % (350118)Instruction limit reached! 
% 16.04/7.45  % (350118)------------------------------
% 16.04/7.45  % (350118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350118)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350118)Termination reason: Instruction limit
% 16.04/7.45  % (350118)Termination phase: Preprocessing 1
% 16.04/7.45  % (350118)Time elapsed: 0.341 s
% 16.04/7.45  % (350118)Peak memory usage: 166 MB
% 16.04/7.45  % (350118)Instructions burned: 592 (million)
% 16.04/7.45  % (350128)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1950946544:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/431Mi)
% 16.04/7.45  % (350129)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1249867218:i=6060:aac=none:ins=25_2952 on theBenchmark for (2952ds/6060Mi)
% 16.04/7.45  % (350130)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2512273768:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2952 on theBenchmark for (2952ds/150Mi)
% 16.04/7.45  % (350130)Instruction limit reached! 
% 16.04/7.45  % (350130)------------------------------
% 16.04/7.45  % (350130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/7.45  % (350130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/7.45  % (350130)CaDiCaL version: 2.1.3
% 16.04/7.45  % (350130)Termination reason: Instruction limit
% 16.04/7.45  % (350130)Termination phase: SInE selection
% 16.04/7.45  % (350130)Time elapsed: 0.083 s
% 0.19/7.71  % (350130)Peak memory usage: 165 MB
% 0.19/7.71  % (350130)Instructions burned: 151 (million)
% 0.19/7.71  % (350128)Refutation not found, incomplete strategy
% 0.19/7.71  % (350128)------------------------------
% 0.19/7.71  % (350128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/7.71  % (350128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/7.71  % (350128)CaDiCaL version: 2.1.3
% 0.19/7.71  % (350128)Termination reason: Refutation not found, incomplete strategy
% 0.19/7.71  % (350128)Time elapsed: 0.246 s
% 0.19/7.71  % (350128)Peak memory usage: 170 MB
% 0.19/7.71  % (350128)Instructions burned: 398 (million)
% 0.19/7.71  % (350134)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=248443469:i=14155:bd=all_2950 on theBenchmark for (2950ds/14155Mi)
% 0.19/7.71  % (350128)------------------------------
% 0.19/7.71  % (350128)------------------------------
% 0.19/7.71  % (350136)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2216914396:i=667:av=off:fsr=off_2946 on theBenchmark for (2946ds/667Mi)
% 0.19/7.71  % (350136)Instruction limit reached! 
% 0.19/7.71  % (350136)------------------------------
% 0.19/7.71  % (350136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/7.71  % (350136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/7.71  % (350136)CaDiCaL version: 2.1.3
% 0.19/7.71  % (350136)Termination reason: Instruction limit
% 0.19/7.71  % (350136)Termination phase: NewCNF
% 0.19/7.71  % (350136)Time elapsed: 0.532 s
% 0.19/7.71  % (350136)Peak memory usage: 184 MB
% 0.19/7.71  % (350136)Instructions burned: 668 (million)
% 0.19/7.71  % (350138)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3702955708:s2a=on:i=185:s2at=1.8:fdi=4_2939 on theBenchmark for (2939ds/185Mi)
% 0.19/7.71  % (350138)Instruction limit reached! 
% 0.19/7.71  % (350138)------------------------------
% 0.19/7.71  % (350138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/7.71  % (350138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/7.71  % (350138)CaDiCaL version: 2.1.3
% 0.19/7.71  % (350138)Termination reason: Instruction limit
% 0.19/7.71  % (350138)Termination phase: SInE selection
% 0.19/7.71  % (350138)Time elapsed: 0.104 s
% 0.19/7.71  % (350138)Peak memory usage: 165 MB
% 0.19/7.71  % (350138)Instructions burned: 186 (million)
% 0.19/7.71  % (350119)First to succeed.
% 0.19/7.71  % (350119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-350073"
% 0.19/7.71  % (350140)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1197418929:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2937 on theBenchmark for (2937ds/193Mi)
% 0.19/7.71  % (350140)Instruction limit reached! 
% 0.19/7.71  % (350140)------------------------------
% 0.19/7.71  % (350140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/7.71  % (350140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/7.71  % (350140)CaDiCaL version: 2.1.3
% 0.19/7.71  % (350140)Termination reason: Instruction limit
% 0.19/7.71  % (350140)Termination phase: SInE selection
% 0.19/7.71  % (350140)Time elapsed: 0.108 s
% 0.19/7.71  % (350140)Peak memory usage: 165 MB
% 0.19/7.71  % (350140)Instructions burned: 194 (million)
% 0.19/7.71  % (350079)Refutation not found, incomplete strategy
% 0.19/7.71  % (350079)------------------------------
% 0.19/7.71  % (350079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/7.71  % (350079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/7.71  % (350079)CaDiCaL version: 2.1.3
% 0.19/7.71  % (350079)Termination reason: Refutation not found, incomplete strategy
% 0.19/7.71  % (350079)Time elapsed: 3.579 s
% 0.19/7.71  % (350079)Peak memory usage: 300 MB
% 0.19/7.71  % (350079)Instructions burned: 4896 (million)
% 0.19/7.71  % (350142)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1994646597:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2934 on theBenchmark for (2934ds/4850Mi)
% 0.19/7.71  % (350119)Refutation found. Thanks to Tanya!
% 0.19/7.71  % SZS status Theorem for theBenchmark
% 0.19/7.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/7.71  % (350119)------------------------------
% 0.19/7.71  % (350119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/7.71  % (350119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/7.71  % (350119)CaDiCaL version: 2.1.3
% 0.19/7.71  % (350119)Termination reason: Refutation
% 0.19/7.71  % (350119)Time elapsed: 1.977 s
% 0.19/7.71  % (350119)Peak memory usage: 303 MB
% 0.19/7.71  % (350119)Instructions burned: 2970 (million)
% 0.19/7.71  % (350119)------------------------------
% 0.19/7.71  % (350119)------------------------------
% 0.19/7.71  % (350073)Success in time 6.796 s
% 0.19/7.71  % Vampire exiting
%------------------------------------------------------------------------------