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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEV434_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:57:41 PM UTC 2026

% Result   : Theorem 6.79s 1.94s
% Output   : Refutation 6.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   58 (  14 unt;   0 typ;   5 def)
%            Number of atoms       :  212 (  69 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  119 (  53   ~;  55   |;   5   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :  103 (  88 fml;  15 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (   9 usr;   9 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   35 (   0 sgn  29   !;   6   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    f: $o > $i ).

tff(func_def_3,type,
    bG0: $o > $o ).

tff(func_def_7,type,
    sK4: $i > $o ).

tff(f1,axiom,
    ! [X0: $i] :
    ? [X1: $o] : ( f((X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fsurj) ).

tff(f2,conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ( X0 = X2 )
      | ( X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).

tff(f3,negated_conjecture,
    ~ ! [X0: $i,X1: $i,X2: $i] :
        ( ( X0 = X1 )
        | ( X0 = X2 )
        | ( X1 = X2 ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

tff(f4,plain,
    ! [X0: $i] :
    ? [X1: $o] : ( f((X1)) = X0 ),
    inference(rectify,[],[f1]) ).

tff(f5,definition,
    ! [X1: $o] :
      ( ( $true = (X1) )
    <=> ( $true = bG0((X1)) ) ),
    introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).

tff(f6,plain,
    ! [X0: $i] :
    ? [X1: $o] : ( f(bG0((X1))) = X0 ),
    inference(fool_elimination,[],[f4,f5]) ).

tff(f7,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
    <=> ( $true = bG0((X0)) ) ),
    inference(rectify,[],[f5]) ).

tff(f8,plain,
    ? [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != X1 )
      & ( X0 != X2 )
      & ( X1 != X2 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f9,plain,
    ( ( sK1 != sK2 )
    & ( sK1 != sK3 )
    & ( sK2 != sK3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f8]) ).

tff(f10,plain,
    ! [X0: $i] : ( f(bG0(sK4(X0))) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f6]) ).

tff(f11,plain,
    ! [X0: $o] :
      ( ( ( $true = (X0) )
        | ( $true != bG0((X0)) ) )
      & ( ( $true = bG0((X0)) )
        | ( $true != (X0) ) ) ),
    inference(nnf_transformation,[],[f7]) ).

tff(f12,plain,
    sK2 != sK3,
    inference(cnf_transformation,[],[f9]) ).

tff(f13,plain,
    sK1 != sK3,
    inference(cnf_transformation,[],[f9]) ).

tff(f14,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f9]) ).

tff(f15,plain,
    ! [X0: $i] : ( f(bG0(sK4(X0))) = X0 ),
    inference(cnf_transformation,[],[f10]) ).

tff(f16,plain,
    ! [X0: $o] :
      ( ( $true = bG0((X0)) )
      | ( $true != (X0) ) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f19,plain,
    ! [X0: $o] :
      ( ( $false = (X0) )
      | ( $true = (X0) ) ),
    introduced(definition,[],[fool_exhaustiveness_axiom]) ).

tff(f20,plain,
    $true = bG0($true),
    inference(equality_resolution,[],[f16]) ).

tff(f24,plain,
    ! [X0: $i] :
      ( ( $true = sK4(X0) )
      | ( f(bG0($false)) = X0 ) ),
    inference(superposition,[],[f15,f19]) ).

tff(f62,plain,
    ! [X0: $i] :
      ( ( f(bG0($true)) = X0 )
      | ( f(bG0($false)) = X0 ) ),
    inference(superposition,[],[f15,f24]) ).

tff(f64,plain,
    ! [X0: $i] :
      ( ( f(bG0($false)) = X0 )
      | ( f($true) = X0 ) ),
    inference(forward_demodulation,[],[f62,f20]) ).

tff(f78,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( f($true) = X1 )
      | ( f($true) = X0 ) ),
    inference(superposition,[],[f64,f64]) ).

tff(f436,plain,
    ! [X0: $i] :
      ( ( sK1 != X0 )
      | ( f($true) = X0 )
      | ( sK3 = f($true) ) ),
    inference(superposition,[],[f13,f78]) ).

tff(f438,plain,
    ! [X0: $i] :
      ( ( sK1 != X0 )
      | ( f($true) = X0 )
      | ( sK2 = f($true) ) ),
    inference(superposition,[],[f14,f78]) ).

tff(f448,plain,
    ! [X0: $i] :
      ( ( sK2 != X0 )
      | ( sK3 = f($true) )
      | ( f($true) = X0 ) ),
    inference(superposition,[],[f12,f78]) ).

tff(f465,definition,
    ( spl5_11
  <=> ( sK2 = f($true) ) ),
    introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).

tff(f467,plain,
    ( ( sK2 = f($true) )
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f465]) ).

tff(f469,definition,
    ( spl5_12
  <=> ! [X0: $i] :
        ( ( sK1 != X0 )
        | ( f($true) = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).

tff(f470,plain,
    ( ! [X0: $i] :
        ( ( sK1 != X0 )
        | ( f($true) = X0 ) )
    | ~ spl5_12 ),
    inference(avatar_component_clause,[],[f469]) ).

tff(f473,definition,
    ( spl5_13
  <=> ( sK3 = f($true) ) ),
    introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).

tff(f475,plain,
    ( ( sK3 = f($true) )
    | ~ spl5_13 ),
    inference(avatar_component_clause,[],[f473]) ).

tff(f477,definition,
    ( spl5_14
  <=> ! [X0: $i] :
        ( ( sK2 != X0 )
        | ( f($true) = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).

tff(f478,plain,
    ( ! [X0: $i] :
        ( ( sK2 != X0 )
        | ( f($true) = X0 ) )
    | ~ spl5_14 ),
    inference(avatar_component_clause,[],[f477]) ).

tff(f479,plain,
    ( spl5_13
    | spl5_14 ),
    inference(avatar_split_clause,[],[f448,f477,f473]) ).

tff(f483,plain,
    ( spl5_11
    | spl5_12 ),
    inference(avatar_split_clause,[],[f438,f469,f465]) ).

tff(f485,plain,
    ( spl5_13
    | spl5_12 ),
    inference(avatar_split_clause,[],[f436,f469,f473]) ).

tff(f486,plain,
    ( ( sK2 = sK3 )
    | ~ spl5_11
    | ~ spl5_13 ),
    inference(forward_demodulation,[],[f475,f467]) ).

tff(f487,plain,
    ( $false
    | ~ spl5_11
    | ~ spl5_13 ),
    inference(forward_subsumption_resolution,[],[f486,f12]) ).

tff(f488,plain,
    ( ~ spl5_11
    | ~ spl5_13 ),
    inference(avatar_contradiction_clause,[],[f487]) ).

tff(f609,plain,
    ( ( sK1 = f($true) )
    | ~ spl5_12 ),
    inference(equality_resolution,[],[f470]) ).

tff(f639,plain,
    ( ( sK1 = sK3 )
    | ~ spl5_12
    | ~ spl5_13 ),
    inference(superposition,[],[f609,f475]) ).

tff(f656,plain,
    ( $false
    | ~ spl5_12
    | ~ spl5_13 ),
    inference(forward_subsumption_resolution,[],[f639,f13]) ).

tff(f657,plain,
    ( ~ spl5_12
    | ~ spl5_13 ),
    inference(avatar_contradiction_clause,[],[f656]) ).

tff(f661,plain,
    ( ! [X0: $i] :
        ( ( sK2 != X0 )
        | ( sK1 = X0 ) )
    | ~ spl5_12
    | ~ spl5_14 ),
    inference(forward_demodulation,[],[f478,f609]) ).

tff(f762,plain,
    ( ( sK1 = sK2 )
    | ~ spl5_12
    | ~ spl5_14 ),
    inference(equality_resolution,[],[f661]) ).

tff(f763,plain,
    ( $false
    | ~ spl5_12
    | ~ spl5_14 ),
    inference(forward_subsumption_resolution,[],[f762,f14]) ).

tff(f764,plain,
    ( ~ spl5_12
    | ~ spl5_14 ),
    inference(avatar_contradiction_clause,[],[f763]) ).

cnf(s22,plain,
    ( spl5_13
    | spl5_14 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s24,plain,
    ( spl5_11
    | spl5_12 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s26,plain,
    ( spl5_12
    | spl5_13 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s27,plain,
    ( ~ spl5_11
    | ~ spl5_13 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s29,plain,
    ( ~ spl5_12
    | ~ spl5_13 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s30,plain,
    ( ~ spl5_12
    | ~ spl5_14 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s36,plain,
    ~ spl5_12,
    inference(rat,[],[s22,s29,s30]) ).

cnf(s37,plain,
    spl5_13,
    inference(rat,[],[s26,s36]) ).

cnf(s38,plain,
    spl5_11,
    inference(rat,[],[s24,s36]) ).

cnf(s39,plain,
    $false,
    inference(rat,[],[s27,s37,s38]) ).

tff(f769,plain,
    $false,
    inference(avatar_sat_refutation,[],[s39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV434_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n015.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 06:30:31 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/1.75  % (2415990)Detected formulas, will run a generic FOF schedule.
% 5.36/1.75  % (2415998)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2775301776:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.36/1.75  % (2415998)Refutation not found, incomplete strategy
% 5.36/1.75  % (2415998)------------------------------
% 5.36/1.75  % (2415998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.75  % (2415998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.75  % (2415998)CaDiCaL version: 2.1.3
% 5.36/1.75  % (2415998)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.75  % (2415998)Time elapsed: 0.001 s
% 5.36/1.75  % (2415998)Peak memory usage: 88 MB
% 5.36/1.75  % (2415999)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2509637658:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.36/1.75  % (2415995)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=1014470544:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.36/1.75  % (2415996)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=970512412:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.36/1.75  % (2416001)dis-21_1_sil=8000:lcm=predicate:random_seed=623350129:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.36/1.75  % (2415997)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=3191236365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.36/1.75  % (2416000)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2138524942:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.36/1.75  % (2415999)Refutation not found, incomplete strategy
% 5.36/1.75  % (2415999)------------------------------
% 5.36/1.75  % (2415999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.75  % (2415999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.75  % (2415999)CaDiCaL version: 2.1.3
% 5.36/1.75  % (2415999)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.75  % (2415999)Time elapsed: 0.001 s
% 5.36/1.75  % (2415999)Peak memory usage: 87 MB
% 5.36/1.75  % (2416001)Refutation not found, incomplete strategy
% 5.36/1.75  % (2416001)------------------------------
% 5.36/1.75  % (2416001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.75  % (2416001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.75  % (2416001)CaDiCaL version: 2.1.3
% 5.36/1.75  % (2416001)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.75  % (2416001)Time elapsed: 0.001 s
% 5.36/1.75  % (2416001)Peak memory usage: 88 MB
% 5.36/1.75  % (2416000)Instruction limit reached! 
% 5.36/1.75  % (2416000)------------------------------
% 5.36/1.75  % (2416000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.75  % (2416000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.75  % (2416000)CaDiCaL version: 2.1.3
% 5.36/1.75  % (2416000)Termination reason: Instruction limit
% 5.36/1.75  % (2416000)Termination phase: Saturation
% 5.36/1.75  % (2416000)Time elapsed: 0.070 s
% 5.36/1.75  % (2416000)Peak memory usage: 89 MB
% 5.36/1.75  % (2416000)Instructions burned: 140 (million)
% 5.36/1.75  % (2415998)------------------------------
% 5.36/1.75  % (2415998)------------------------------
% 5.36/1.75  % (2416009)lrs+10_1_sil=8000:sp=occurrence:random_seed=1487955476:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.36/1.75  % (2416010)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3217310708:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.36/1.75  % (2416001)------------------------------
% 5.36/1.75  % (2416001)------------------------------
% 5.36/1.75  % (2415999)------------------------------
% 5.36/1.75  % (2415999)------------------------------
% 5.36/1.75  % (2416010)Instruction limit reached! 
% 5.36/1.75  % (2416010)------------------------------
% 5.36/1.75  % (2416010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.75  % (2416010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2416010)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2416010)Termination reason: Instruction limit
% 6.79/1.94  % (2416010)Termination phase: Saturation
% 6.79/1.94  % (2416010)Time elapsed: 0.039 s
% 6.79/1.94  % (2416010)Peak memory usage: 89 MB
% 6.79/1.94  % (2416010)Instructions burned: 158 (million)
% 6.79/1.94  % (2416009)Instruction limit reached! 
% 6.79/1.94  % (2416009)------------------------------
% 6.79/1.94  % (2416009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94  % (2416009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2416009)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2416009)Termination reason: Instruction limit
% 6.79/1.94  % (2416009)Termination phase: Saturation
% 6.79/1.94  % (2416009)Time elapsed: 0.137 s
% 6.79/1.94  % (2416009)Peak memory usage: 89 MB
% 6.79/1.94  % (2416009)Instructions burned: 285 (million)
% 6.79/1.94  % (2416015)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3316761696:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.79/1.94  % (2416015)Refutation not found, incomplete strategy
% 6.79/1.94  % (2416015)------------------------------
% 6.79/1.94  % (2416015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94  % (2416015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2416015)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2416015)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.94  % (2416015)Time elapsed: 0.001 s
% 6.79/1.94  % (2416015)Peak memory usage: 88 MB
% 6.79/1.94  % (2416014)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=1859618275:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.79/1.94  % (2416013)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3005360084:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.79/1.94  % (2416013)First to succeed.
% 6.79/1.94  % (2416013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2415990"
% 6.79/1.94  % (2416015)------------------------------
% 6.79/1.94  % (2416015)------------------------------
% 6.79/1.94  % (2416014)Instruction limit reached! 
% 6.79/1.94  % (2416014)------------------------------
% 6.79/1.94  % (2416014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94  % (2416014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2416014)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2416014)Termination reason: Instruction limit
% 6.79/1.94  % (2416014)Termination phase: Saturation
% 6.79/1.94  % (2416014)Time elapsed: 0.115 s
% 6.79/1.94  % (2416014)Peak memory usage: 88 MB
% 6.79/1.94  % (2416014)Instructions burned: 249 (million)
% 6.79/1.94  % (2416016)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2499914496:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.79/1.94  % (2415997)Refutation not found, incomplete strategy
% 6.79/1.94  % (2415997)------------------------------
% 6.79/1.94  % (2415997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94  % (2415997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2415997)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2415997)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.94  % (2415997)Time elapsed: 0.605 s
% 6.79/1.94  % (2415997)Peak memory usage: 125 MB
% 6.79/1.94  % (2415997)Instructions burned: 893 (million)
% 6.79/1.94  % (2415996)Also succeeded, but the first one will report.
% 6.79/1.94  % (2415995)Also succeeded, but the first one will report.
% 6.79/1.94  % (2416021)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=834033917:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.79/1.94  % (2416021)Refutation not found, incomplete strategy
% 6.79/1.94  % (2416021)------------------------------
% 6.79/1.94  % (2416021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94  % (2416021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2416021)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2416021)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.94  % (2416021)Time elapsed: 0.001 s
% 6.79/1.94  % (2416021)Peak memory usage: 88 MB
% 6.79/1.94  % (2416013)Refutation found. Thanks to Tanya!
% 6.79/1.94  % SZS status Theorem for theBenchmark
% 6.79/1.94  % SZS output start Proof for theBenchmark
% See solution above
% 6.79/1.94  % (2416013)------------------------------
% 6.79/1.94  % (2416013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94  % (2416013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94  % (2416013)CaDiCaL version: 2.1.3
% 6.79/1.94  % (2416013)Termination reason: Refutation
% 6.79/1.94  % (2416013)Time elapsed: 0.026 s
% 6.79/1.94  % (2416013)Peak memory usage: 90 MB
% 6.79/1.94  % (2416013)Instructions burned: 45 (million)
% 6.79/1.94  % (2416013)------------------------------
% 6.79/1.94  % (2416013)------------------------------
% 6.79/1.94  % (2415990)Success in time 0.876 s
% 6.79/1.94  % Vampire exiting
%------------------------------------------------------------------------------