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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 11:52:23 AM UTC 2026

% Result   : Unsatisfiable 3.57s 1.38s
% Output   : Refutation 3.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   49 (  17 unt;   3 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   85 (  44   ~;  38   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  17 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv1) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv2) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv3) ).

fof(f5,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X0)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv5) ).

fof(f6,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_hr) ).

fof(f7,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X1))
      | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f13,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f11,f7]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
      | is_a_theorem(implies(X0,implies(implies(X2,X1),X1))) ),
    inference(resolution,[],[f13,f4]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,implies(X3,X2)))
      | ~ is_a_theorem(implies(X3,X1)) ),
    inference(resolution,[],[f13,f8]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f13,f15]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f26,f3]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,implies(X1,X2)),X2))
      | ~ is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f26,f15]) ).

fof(f65,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f22,f2]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f24,f65]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X0),X1))
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X2) ),
    inference(resolution,[],[f38,f26]) ).

fof(f838,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f102,f3]) ).

fof(f883,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16)),v16))
    | ~ is_a_theorem(implies(x,implies(y,x))) ),
    inference(resolution,[],[f124,f6]) ).

fof(f898,plain,
    ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16)),v16)),
    inference(forward_subsumption_resolution,[],[f883,f2]) ).

fof(f923,plain,
    ( ~ is_a_theorem(implies(v14,implies(v15,v14)))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13)) ),
    inference(resolution,[],[f898,f43]) ).

fof(f926,definition,
    ( spl0_18
  <=> is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13)) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f928,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f934,plain,
    ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13)),
    inference(forward_subsumption_resolution,[],[f923,f2]) ).

fof(f935,plain,
    ~ spl0_18,
    inference(avatar_split_clause,[],[f934,f926]) ).

fof(f953,plain,
    ( ~ is_a_theorem(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10))
    | spl0_18 ),
    inference(resolution,[],[f928,f43]) ).

fof(f956,definition,
    ( spl0_20
  <=> is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10)) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f964,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10))
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f953,f5]) ).

fof(f965,plain,
    ( ~ spl0_20
    | spl0_18 ),
    inference(avatar_split_clause,[],[f964,f926,f956]) ).

fof(f1031,plain,
    ( ~ is_a_theorem(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)))
    | ~ is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7))
    | spl0_20 ),
    inference(resolution,[],[f958,f43]) ).

fof(f1034,definition,
    ( spl0_22
  <=> is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7)) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1042,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7))
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f1031,f4]) ).

fof(f1043,plain,
    ( ~ spl0_22
    | spl0_20 ),
    inference(avatar_split_clause,[],[f1042,f956,f1034]) ).

fof(f1105,plain,
    ( ~ is_a_theorem(implies(w,implies(v6,w)))
    | ~ is_a_theorem(implies(implies(z,u),implies(implies(v,z),implies(v,u))))
    | spl0_22 ),
    inference(resolution,[],[f1036,f43]) ).

fof(f1108,plain,
    ( ~ is_a_theorem(implies(implies(z,u),implies(implies(v,z),implies(v,u))))
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1105,f2]) ).

fof(f1109,plain,
    ( $false
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1108,f838]) ).

fof(f1110,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f1109]) ).

cnf(s28,plain,
    ~ spl0_18,
    inference(sat_conversion,[],[f935]) ).

cnf(s30,plain,
    ( spl0_18
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s32,plain,
    ( spl0_20
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s33,plain,
    spl0_22,
    inference(sat_conversion,[],[f1110]) ).

cnf(s34,plain,
    spl0_20,
    inference(rat,[],[s32,s33]) ).

cnf(s35,plain,
    spl0_18,
    inference(rat,[],[s30,s34]) ).

cnf(s36,plain,
    $false,
    inference(rat,[],[s28,s35]) ).

fof(f1111,plain,
    $false,
    inference(avatar_sat_refutation,[],[s36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n016.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 15:46:47 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 2.68/1.28  % (2804665)Input is clausal, will run a generic CNF schedule.
% 2.68/1.28  % (2804676)dis-21_1_sil=8000:lcm=predicate:random_seed=926086564:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.68/1.28  % (2804676)Instruction limit reached! 
% 2.68/1.28  % (2804676)------------------------------
% 2.68/1.28  % (2804676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28  % (2804676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28  % (2804676)CaDiCaL version: 2.1.3
% 2.68/1.28  % (2804676)Termination reason: Instruction limit
% 2.68/1.28  % (2804676)Termination phase: Saturation
% 2.68/1.28  % (2804676)Time elapsed: 0.037 s
% 2.68/1.28  % (2804676)Peak memory usage: 88 MB
% 2.68/1.28  % (2804676)Instructions burned: 121 (million)
% 2.68/1.28  % (2804675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2379174684:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.68/1.28  % (2804671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2253797604:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.68/1.28  % (2804673)lrs+10_1_sil=8000:sp=occurrence:random_seed=857010732:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.68/1.28  % (2804674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1937124946:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.68/1.28  % (2804670)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=1570350491:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.68/1.28  % (2804672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2599186333:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.68/1.28  % (2804673)First to succeed.
% 2.68/1.28  % (2804673)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2804665"
% 2.68/1.28  % (2804674)Instruction limit reached! 
% 2.68/1.28  % (2804674)------------------------------
% 2.68/1.28  % (2804674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.29  % (2804674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.29  % (2804674)CaDiCaL version: 2.1.3
% 2.68/1.29  % (2804674)Termination reason: Instruction limit
% 2.68/1.29  % (2804674)Termination phase: Saturation
% 2.68/1.29  % (2804674)Time elapsed: 0.070 s
% 2.68/1.29  % (2804674)Peak memory usage: 88 MB
% 2.68/1.29  % (2804674)Instructions burned: 114 (million)
% 2.68/1.29  % (2804684)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1182288750:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.68/1.29  % (2804684)Refutation not found, incomplete strategy
% 2.68/1.29  % (2804684)------------------------------
% 2.68/1.29  % (2804684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.29  % (2804684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.29  % (2804684)CaDiCaL version: 2.1.3
% 2.68/1.29  % (2804684)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.29  % (2804684)Time elapsed: 0.0000 s
% 2.68/1.29  % (2804684)Peak memory usage: 87 MB
% 2.68/1.29  % (2804675)Instruction limit reached! 
% 2.68/1.29  % (2804675)------------------------------
% 2.68/1.29  % (2804675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.29  % (2804675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.29  % (2804675)CaDiCaL version: 2.1.3
% 2.68/1.29  % (2804675)Termination reason: Instruction limit
% 2.68/1.29  % (2804675)Termination phase: Saturation
% 2.68/1.29  % (2804675)Time elapsed: 0.115 s
% 2.68/1.29  % (2804675)Peak memory usage: 89 MB
% 2.68/1.29  % (2804675)Instructions burned: 180 (million)
% 2.68/1.29  % (2804685)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4004545712:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.68/1.29  % (2804684)------------------------------
% 2.68/1.29  % (2804684)------------------------------
% 2.68/1.29  % (2804687)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2522412138:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.68/1.29  % (2804687)Refutation not found, incomplete strategy
% 3.57/1.38  % (2804687)------------------------------
% 3.57/1.38  % (2804687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.38  % (2804687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.38  % (2804687)CaDiCaL version: 2.1.3
% 3.57/1.38  % (2804687)Termination reason: Refutation not found, incomplete strategy
% 3.57/1.38  % (2804687)Time elapsed: 0.001 s
% 3.57/1.38  % (2804687)Peak memory usage: 87 MB
% 3.57/1.38  % (2804673)Refutation found. Thanks to Tanya!
% 3.57/1.38  % SZS status Unsatisfiable for theBenchmark
% 3.57/1.38  % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.38  % (2804673)------------------------------
% 3.57/1.38  % (2804673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.38  % (2804673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.38  % (2804673)CaDiCaL version: 2.1.3
% 3.57/1.38  % (2804673)Termination reason: Refutation
% 3.57/1.38  % (2804673)Time elapsed: 0.032 s
% 3.57/1.38  % (2804673)Peak memory usage: 89 MB
% 3.57/1.38  % (2804673)Instructions burned: 49 (million)
% 3.57/1.38  % (2804673)------------------------------
% 3.57/1.38  % (2804673)------------------------------
% 3.57/1.38  % (2804665)Success in time 0.433 s
% 3.57/1.38  % Vampire exiting
%------------------------------------------------------------------------------