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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SCT058-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 12:36:50 PM UTC 2026

% Result   : Unsatisfiable 4.07s 1.35s
% Output   : Refutation 4.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (   5 unt;   2 def)
%            Number of atoms       :   63 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  26   ~;  28   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-5 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f663,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( hBOOL(c_in(c_Pair(X0,X1,X2,X3),hAPP(c_Relation_Oconverse(X3,X2),X4),tc_prod(X2,X3)))
      | ~ hBOOL(c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converseI_0) ).

fof(f664,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ hBOOL(c_in(c_Pair(X1,X0,X3,X2),hAPP(c_Relation_Oconverse(X2,X3),X4),tc_prod(X3,X2)))
      | hBOOL(c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converseD_0) ).

fof(f667,axiom,
    ! [X0] :
      ( hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_iff_1) ).

fof(f672,axiom,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_o__apply_0) ).

fof(f677,axiom,
    ! [X0] :
      ( hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f683,negated_conjecture,
    ( hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f684,negated_conjecture,
    ( ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f709,plain,
    ( ~ hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(forward_demodulation,[],[f684,f672]) ).

fof(f710,plain,
    ( hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(forward_demodulation,[],[f683,f672]) ).

fof(f712,definition,
    ( spl0_1
  <=> hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f713,plain,
    ( hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f714,plain,
    ( ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f716,definition,
    ( spl0_2
  <=> hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f717,plain,
    ( hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f718,plain,
    ( ~ hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f709,f716,f712]) ).

fof(f720,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f710,f716,f712]) ).

fof(f722,plain,
    ( ~ hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | spl0_1 ),
    inference(resolution,[],[f714,f677]) ).

fof(f753,plain,
    ( hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_2 ),
    inference(resolution,[],[f717,f664]) ).

fof(f812,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f753,f722]) ).

fof(f813,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f812]) ).

fof(f865,plain,
    ( ~ hBOOL(c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | spl0_2 ),
    inference(resolution,[],[f718,f663]) ).

fof(f942,plain,
    ( ~ hBOOL(c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | spl0_2 ),
    inference(resolution,[],[f865,f667]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f942,f713]) ).

fof(f953,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s13,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s32,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s33,plain,
    spl0_1,
    inference(rat,[],[s2,s13]) ).

cnf(s34,plain,
    spl0_2,
    inference(rat,[],[s32,s33]) ).

cnf(s35,plain,
    $false,
    inference(rat,[],[s1,s34,s33]) ).

fof(f954,plain,
    $false,
    inference(avatar_sat_refutation,[],[s35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SCT058-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n010.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 23:36:02 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 3.51/1.15  % (1424513)Input is clausal, will run a generic CNF schedule.
% 3.51/1.15  % (1424524)dis-21_1_sil=8000:lcm=predicate:random_seed=1624707489: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)
% 3.51/1.15  % (1424520)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1740252066:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.15  % (1424523)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3168585734:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.15  % (1424518)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=1364386956:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.15  % (1424522)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3107152225:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.15  % (1424521)lrs+10_1_sil=8000:sp=occurrence:random_seed=872042239:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.15  % (1424519)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2118001633:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.15  % (1424524)Instruction limit reached! 
% 3.51/1.15  % (1424524)------------------------------
% 3.51/1.15  % (1424524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.15  % (1424524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.15  % (1424524)CaDiCaL version: 2.1.3
% 3.51/1.15  % (1424524)Termination reason: Instruction limit
% 3.51/1.15  % (1424524)Termination phase: Saturation
% 3.51/1.15  % (1424524)Time elapsed: 0.064 s
% 3.51/1.15  % (1424524)Peak memory usage: 89 MB
% 3.51/1.15  % (1424524)Instructions burned: 118 (million)
% 3.51/1.15  % (1424522)Instruction limit reached! 
% 3.51/1.15  % (1424522)------------------------------
% 3.51/1.15  % (1424522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.15  % (1424522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.15  % (1424522)CaDiCaL version: 2.1.3
% 3.51/1.15  % (1424522)Termination reason: Instruction limit
% 3.51/1.15  % (1424522)Termination phase: Saturation
% 3.51/1.15  % (1424522)Time elapsed: 0.068 s
% 3.51/1.15  % (1424522)Peak memory usage: 88 MB
% 3.51/1.15  % (1424522)Instructions burned: 114 (million)
% 3.51/1.15  % (1424521)Instruction limit reached! 
% 3.51/1.15  % (1424521)------------------------------
% 3.51/1.15  % (1424521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.15  % (1424521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.15  % (1424521)CaDiCaL version: 2.1.3
% 3.51/1.15  % (1424521)Termination reason: Instruction limit
% 3.51/1.15  % (1424521)Termination phase: Saturation
% 3.51/1.15  % (1424521)Time elapsed: 0.072 s
% 3.51/1.15  % (1424521)Peak memory usage: 89 MB
% 3.51/1.15  % (1424521)Instructions burned: 108 (million)
% 3.51/1.15  % (1424523)Instruction limit reached! 
% 3.51/1.15  % (1424523)------------------------------
% 3.51/1.15  % (1424523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.15  % (1424523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.15  % (1424523)CaDiCaL version: 2.1.3
% 3.51/1.15  % (1424523)Termination reason: Instruction limit
% 3.51/1.15  % (1424523)Termination phase: Saturation
% 3.51/1.15  % (1424523)Time elapsed: 0.124 s
% 3.51/1.15  % (1424523)Peak memory usage: 90 MB
% 3.51/1.15  % (1424523)Instructions burned: 180 (million)
% 3.51/1.15  % (1424534)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1903622138:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.51/1.15  % (1424534)First to succeed.
% 3.51/1.15  % (1424534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1424513"
% 3.51/1.15  % (1424532)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=3211784785:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.51/1.15  % (1424533)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3992953585: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)
% 3.51/1.15  % (1424532)Also succeeded, but the first one will report.
% 4.07/1.35  % (1424533)Also succeeded, but the first one will report.
% 4.07/1.35  % (1424535)lrs+10_64_to=lpo:sil=8000:random_seed=1395893743:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.07/1.35  % (1424534)Refutation found. Thanks to Tanya!
% 4.07/1.35  % SZS status Unsatisfiable for theBenchmark
% 4.07/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 4.07/1.35  % (1424534)------------------------------
% 4.07/1.35  % (1424534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.35  % (1424534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.35  % (1424534)CaDiCaL version: 2.1.3
% 4.07/1.35  % (1424534)Termination reason: Refutation
% 4.07/1.35  % (1424534)Time elapsed: 0.013 s
% 4.07/1.35  % (1424534)Peak memory usage: 90 MB
% 4.07/1.35  % (1424534)Instructions burned: 38 (million)
% 4.07/1.35  % (1424534)------------------------------
% 4.07/1.35  % (1424534)------------------------------
% 4.07/1.35  % (1424513)Success in time 0.531 s
% 4.07/1.35  % Vampire exiting
%------------------------------------------------------------------------------