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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL099-1 : TPTP v9.3.1. Released v1.0.0.
% 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 11:51:11 AM UTC 2026

% Result   : Unsatisfiable 55.26s 9.39s
% Output   : Refutation 55.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (  18 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   61 (  61   !;   0   ?)

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

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3) ).

fof(f4,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_5) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
    inference(unit_resulting_resolution,[],[f1,f3,f3]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))),
    inference(unit_resulting_resolution,[],[f1,f5,f2]) ).

fof(f17,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(unit_resulting_resolution,[],[f1,f3,f2]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X4)),equivalent(X2,equivalent(equivalent(X3,X0),X4)))),
    inference(unit_resulting_resolution,[],[f1,f5,f15]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(X2,equivalent(X0,X4))),equivalent(X3,equivalent(X1,X4)))),
    inference(unit_resulting_resolution,[],[f1,f15,f15]) ).

fof(f31,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
    inference(unit_resulting_resolution,[],[f1,f5,f21]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3))),
    inference(unit_resulting_resolution,[],[f1,f2,f22]) ).

fof(f65,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
    inference(unit_resulting_resolution,[],[f1,f5,f17]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X3))),equivalent(X0,equivalent(equivalent(equivalent(X2,X4),X1),equivalent(X4,X3))))),
    inference(unit_resulting_resolution,[],[f1,f15,f65]) ).

fof(f183,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),X1),equivalent(X3,X2)),X0)))),
    inference(unit_resulting_resolution,[],[f1,f22,f31]) ).

fof(f235,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),X4))),equivalent(X0,equivalent(equivalent(X3,X2),X4)))),
    inference(unit_resulting_resolution,[],[f1,f65,f37]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X1,X3),X0)),equivalent(X4,X2)))),
    inference(unit_resulting_resolution,[],[f1,f15,f92]) ).

fof(f1059,plain,
    ! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(X0,c),equivalent(equivalent(equivalent(equivalent(a,b),e),X0),falsehood)))),
    inference(unit_resulting_resolution,[],[f1,f4,f235]) ).

fof(f22503,plain,
    ~ is_a_theorem(equivalent(falsehood,equivalent(e,equivalent(equivalent(equivalent(equivalent(a,b),e),equivalent(b,a)),falsehood)))),
    inference(unit_resulting_resolution,[],[f1,f1059,f423]) ).

fof(f22593,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f22503,f183]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL099-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.46  % Computer : n019.cluster.edu
% 0.22/0.46  % Model    : x86_64 x86_64
% 0.22/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.46  % Memory   : 8046.5625MB
% 0.22/0.46  % OS       : Linux 6.8.0-71-generic
% 0.22/0.46  % CPULimit : 300
% 0.22/0.46  % WCLimit  : 300
% 0.22/0.46  % DateTime : Sun Sep 27 15:21:49 UTC 2026
% 0.22/0.47  % CPUTime  : 
% 0.22/0.47  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.53  Running first-order theorem proving
% 0.26/0.53  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
% 17.46/3.70  % (3194433)Input is clausal, will run a generic CNF schedule.
% 17.46/3.70  % (3194442)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3385303701:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.46/3.70  % (3194438)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=1091654753:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.46/3.70  % (3194442)Instruction limit reached! 
% 17.46/3.70  % (3194442)------------------------------
% 17.46/3.70  % (3194442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.70  % (3194442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.70  % (3194442)CaDiCaL version: 2.1.3
% 17.46/3.70  % (3194442)Termination reason: Instruction limit
% 17.46/3.70  % (3194442)Termination phase: Saturation
% 17.46/3.70  % (3194442)Time elapsed: 0.059 s
% 17.46/3.70  % (3194442)Peak memory usage: 88 MB
% 17.46/3.70  % (3194442)Instructions burned: 115 (million)
% 17.46/3.70  % (3194441)lrs+10_1_sil=8000:sp=occurrence:random_seed=774137501:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.46/3.70  % (3194439)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=543863675:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.46/3.70  % (3194440)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3913472138:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.46/3.70  % (3194444)dis-21_1_sil=8000:lcm=predicate:random_seed=2823051953: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)
% 17.46/3.70  % (3194443)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3086023561:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.46/3.70  % (3194441)Instruction limit reached! 
% 17.46/3.70  % (3194441)------------------------------
% 17.46/3.70  % (3194441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.70  % (3194441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.70  % (3194441)CaDiCaL version: 2.1.3
% 17.46/3.70  % (3194441)Termination reason: Instruction limit
% 17.46/3.70  % (3194441)Termination phase: Saturation
% 17.46/3.70  % (3194441)Time elapsed: 0.113 s
% 17.46/3.70  % (3194441)Peak memory usage: 88 MB
% 17.46/3.70  % (3194441)Instructions burned: 108 (million)
% 17.46/3.70  % (3194444)Instruction limit reached! 
% 17.46/3.70  % (3194444)------------------------------
% 17.46/3.70  % (3194444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.70  % (3194444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.70  % (3194444)CaDiCaL version: 2.1.3
% 17.46/3.70  % (3194444)Termination reason: Instruction limit
% 17.46/3.70  % (3194444)Termination phase: Saturation
% 17.46/3.70  % (3194444)Time elapsed: 0.110 s
% 17.46/3.70  % (3194444)Peak memory usage: 88 MB
% 17.46/3.70  % (3194444)Instructions burned: 117 (million)
% 17.46/3.70  % (3194447)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=2336829973:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.46/3.70  % (3194447)Refutation not found, incomplete strategy
% 17.46/3.70  % (3194447)------------------------------
% 17.46/3.70  % (3194447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.70  % (3194447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.70  % (3194447)CaDiCaL version: 2.1.3
% 17.46/3.70  % (3194447)Termination reason: Refutation not found, incomplete strategy
% 17.46/3.70  % (3194447)Time elapsed: 0.001 s
% 17.46/3.70  % (3194447)Peak memory usage: 87 MB
% 17.46/3.70  % (3194443)Instruction limit reached! 
% 17.46/3.70  % (3194443)------------------------------
% 17.46/3.70  % (3194443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.70  % (3194443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.70  % (3194443)CaDiCaL version: 2.1.3
% 17.46/3.70  % (3194443)Termination reason: Instruction limit
% 17.46/3.70  % (3194443)Termination phase: Saturation
% 17.46/3.70  % (3194443)Time elapsed: 0.185 s
% 17.46/3.70  % (3194443)Peak memory usage: 89 MB
% 17.46/3.70  % (3194443)Instructions burned: 181 (million)
% 17.46/3.70  % (3194454)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1888759172:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 30.45/5.68  % (3194454)Refutation not found, incomplete strategy
% 30.45/5.68  % (3194454)------------------------------
% 30.45/5.68  % (3194454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.45/5.68  % (3194454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/5.68  % (3194454)CaDiCaL version: 2.1.3
% 30.45/5.68  % (3194454)Termination reason: Refutation not found, incomplete strategy
% 30.45/5.68  % (3194454)Time elapsed: 0.001 s
% 30.45/5.68  % (3194454)Peak memory usage: 87 MB
% 30.45/5.68  % (3194453)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=216058976:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 30.45/5.68  % (3194447)------------------------------
% 30.45/5.68  % (3194447)------------------------------
% 30.45/5.68  % (3194456)lrs+10_64_to=lpo:sil=8000:random_seed=1571281505:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 30.45/5.68  % (3194453)Instruction limit reached! 
% 30.45/5.68  % (3194453)------------------------------
% 30.45/5.68  % (3194453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.45/5.68  % (3194453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/5.68  % (3194453)CaDiCaL version: 2.1.3
% 30.45/5.68  % (3194453)Termination reason: Instruction limit
% 30.45/5.68  % (3194453)Termination phase: Saturation
% 30.45/5.68  % (3194453)Time elapsed: 0.170 s
% 30.45/5.68  % (3194453)Peak memory usage: 88 MB
% 30.45/5.68  % (3194453)Instructions burned: 189 (million)
% 30.45/5.68  % (3194459)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1823418463:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 30.45/5.68  % (3194456)Instruction limit reached! 
% 30.45/5.68  % (3194456)------------------------------
% 30.45/5.68  % (3194456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.45/5.68  % (3194456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/5.68  % (3194456)CaDiCaL version: 2.1.3
% 30.45/5.68  % (3194456)Termination reason: Instruction limit
% 30.45/5.69  % (3194456)Termination phase: Saturation
% 30.45/5.69  % (3194456)Time elapsed: 0.124 s
% 30.45/5.69  % (3194456)Peak memory usage: 88 MB
% 30.45/5.69  % (3194456)Instructions burned: 126 (million)
% 30.45/5.69  % (3194459)Instruction limit reached! 
% 30.45/5.69  % (3194459)------------------------------
% 30.45/5.69  % (3194459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.45/5.69  % (3194459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/5.69  % (3194459)CaDiCaL version: 2.1.3
% 30.45/5.69  % (3194459)Termination reason: Instruction limit
% 30.45/5.69  % (3194459)Termination phase: Saturation
% 30.45/5.69  % (3194459)Time elapsed: 0.096 s
% 30.45/5.69  % (3194459)Peak memory usage: 88 MB
% 30.45/5.69  % (3194459)Instructions burned: 195 (million)
% 30.45/5.69  % (3194454)------------------------------
% 30.45/5.69  % (3194454)------------------------------
% 30.45/5.69  % (3194461)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2106750558:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 30.45/5.69  % (3194463)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=776758175:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 30.45/5.69  % (3194464)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1512811292:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 30.45/5.69  % (3194464)Instruction limit reached! 
% 30.45/5.69  % (3194464)------------------------------
% 30.45/5.69  % (3194464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.45/5.69  % (3194464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/5.69  % (3194464)CaDiCaL version: 2.1.3
% 30.45/5.69  % (3194464)Termination reason: Instruction limit
% 30.45/5.69  % (3194464)Termination phase: Saturation
% 30.45/5.69  % (3194464)Time elapsed: 0.047 s
% 30.45/5.69  % (3194464)Peak memory usage: 88 MB
% 30.45/5.69  % (3194464)Instructions burned: 108 (million)
% 30.45/5.69  % (3194461)Instruction limit reached! 
% 30.45/5.69  % (3194461)------------------------------
% 30.45/5.69  % (3194461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.45/5.69  % (3194461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/7.41  % (3194461)CaDiCaL version: 2.1.3
% 43.50/7.41  % (3194461)Termination reason: Instruction limit
% 43.50/7.41  % (3194461)Termination phase: Saturation
% 43.50/7.41  % (3194461)Time elapsed: 0.164 s
% 43.50/7.41  % (3194461)Peak memory usage: 90 MB
% 43.50/7.41  % (3194461)Instructions burned: 157 (million)
% 43.50/7.41  % (3194465)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1424808470:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 43.50/7.41  % (3194465)Refutation not found, incomplete strategy
% 43.50/7.41  % (3194465)------------------------------
% 43.50/7.41  % (3194465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.50/7.41  % (3194465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/7.41  % (3194465)CaDiCaL version: 2.1.3
% 43.50/7.41  % (3194465)Termination reason: Refutation not found, incomplete strategy
% 43.50/7.41  % (3194465)Time elapsed: 0.001 s
% 43.50/7.41  % (3194465)Peak memory usage: 86 MB
% 43.50/7.41  % (3194469)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4140248932:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 43.50/7.41  % (3194469)Instruction limit reached! 
% 43.50/7.41  % (3194469)------------------------------
% 43.50/7.41  % (3194469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.50/7.41  % (3194469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/7.41  % (3194469)CaDiCaL version: 2.1.3
% 43.50/7.41  % (3194469)Termination reason: Instruction limit
% 43.50/7.41  % (3194469)Termination phase: Saturation
% 43.50/7.41  % (3194469)Time elapsed: 0.116 s
% 43.50/7.41  % (3194469)Peak memory usage: 90 MB
% 43.50/7.41  % (3194469)Instructions burned: 242 (million)
% 43.50/7.41  % (3194470)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3870279258:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 43.50/7.41  % (3194465)------------------------------
% 43.50/7.41  % (3194465)------------------------------
% 43.50/7.41  % (3194473)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4072104306:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 43.50/7.41  % (3194473)Instruction limit reached! 
% 43.50/7.41  % (3194473)------------------------------
% 43.50/7.41  % (3194473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.50/7.41  % (3194473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/7.41  % (3194473)CaDiCaL version: 2.1.3
% 43.50/7.41  % (3194473)Termination reason: Instruction limit
% 43.50/7.41  % (3194473)Termination phase: Saturation
% 43.50/7.41  % (3194473)Time elapsed: 0.136 s
% 43.50/7.41  % (3194473)Peak memory usage: 88 MB
% 43.50/7.41  % (3194473)Instructions burned: 134 (million)
% 43.50/7.41  % (3194475)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1997143776:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 43.50/7.41  % (3194477)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2320046907:i=191:fgj=on:bd=all_2982 on theBenchmark for (2982ds/191Mi)
% 43.50/7.41  % (3194477)Instruction limit reached! 
% 43.50/7.41  % (3194477)------------------------------
% 43.50/7.41  % (3194477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.50/7.41  % (3194477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/7.41  % (3194477)CaDiCaL version: 2.1.3
% 43.50/7.41  % (3194477)Termination reason: Instruction limit
% 43.50/7.41  % (3194477)Termination phase: Saturation
% 43.50/7.41  % (3194477)Time elapsed: 0.207 s
% 43.50/7.41  % (3194477)Peak memory usage: 90 MB
% 43.50/7.41  % (3194477)Instructions burned: 192 (million)
% 43.50/7.41  % (3194475)Instruction limit reached! 
% 43.50/7.41  % (3194475)------------------------------
% 43.50/7.41  % (3194475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.50/7.41  % (3194475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/7.41  % (3194475)CaDiCaL version: 2.1.3
% 43.50/7.41  % (3194475)Termination reason: Instruction limit
% 43.50/7.41  % (3194475)Termination phase: Saturation
% 43.50/7.41  % (3194475)Time elapsed: 0.431 s
% 43.50/7.41  % (3194475)Peak memory usage: 90 MB
% 43.50/7.41  % (3194475)Instructions burned: 500 (million)
% 43.50/7.41  % (3194481)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3508694690:i=264:kws=precedence:fsr=off_2978 on theBenchmark for (2978ds/264Mi)
% 30.29/9.09  % (3194482)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4145578715:cond=on:i=156:bs=on:gtg=exists_all:er=known_2977 on theBenchmark for (2977ds/156Mi)
% 30.29/9.09  % (3194482)Instruction limit reached! 
% 30.29/9.09  % (3194482)------------------------------
% 30.29/9.09  % (3194482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.29/9.09  % (3194482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.29/9.09  % (3194482)CaDiCaL version: 2.1.3
% 30.29/9.09  % (3194482)Termination reason: Instruction limit
% 30.29/9.09  % (3194482)Termination phase: Saturation
% 30.29/9.09  % (3194482)Time elapsed: 0.129 s
% 30.29/9.09  % (3194482)Peak memory usage: 88 MB
% 30.29/9.09  % (3194482)Instructions burned: 157 (million)
% 30.29/9.09  % (3194481)Instruction limit reached! 
% 30.29/9.09  % (3194481)------------------------------
% 30.29/9.09  % (3194481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.29/9.09  % (3194481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.29/9.09  % (3194481)CaDiCaL version: 2.1.3
% 30.29/9.09  % (3194481)Termination reason: Instruction limit
% 30.29/9.09  % (3194481)Termination phase: Saturation
% 30.29/9.09  % (3194481)Time elapsed: 0.269 s
% 30.29/9.09  % (3194481)Peak memory usage: 90 MB
% 30.29/9.09  % (3194481)Instructions burned: 264 (million)
% 30.29/9.09  % (3194485)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3913413895:i=3256:kws=precedence:bd=preordered:av=off_2974 on theBenchmark for (2974ds/3256Mi)
% 30.29/9.09  % (3194486)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2845727331:i=537:av=off:ss=included_2973 on theBenchmark for (2973ds/537Mi)
% 30.29/9.09  % (3194486)Instruction limit reached! 
% 30.29/9.09  % (3194486)------------------------------
% 30.29/9.09  % (3194486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.29/9.09  % (3194486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.29/9.09  % (3194486)CaDiCaL version: 2.1.3
% 30.29/9.09  % (3194486)Termination reason: Instruction limit
% 30.29/9.09  % (3194486)Termination phase: Saturation
% 30.29/9.09  % (3194486)Time elapsed: 0.449 s
% 30.29/9.09  % (3194486)Peak memory usage: 90 MB
% 30.29/9.09  % (3194486)Instructions burned: 538 (million)
% 30.29/9.09  % (3194489)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1741178588:i=180:bd=preordered:av=off_2966 on theBenchmark for (2966ds/180Mi)
% 30.29/9.09  % (3194489)Instruction limit reached! 
% 30.29/9.09  % (3194489)------------------------------
% 30.29/9.09  % (3194489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.29/9.09  % (3194489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.29/9.09  % (3194489)CaDiCaL version: 2.1.3
% 30.29/9.09  % (3194489)Termination reason: Instruction limit
% 30.29/9.09  % (3194489)Termination phase: Saturation
% 30.29/9.09  % (3194489)Time elapsed: 0.160 s
% 30.29/9.09  % (3194489)Peak memory usage: 87 MB
% 30.29/9.09  % (3194489)Instructions burned: 180 (million)
% 30.29/9.09  % (3194470)Instruction limit reached! 
% 30.29/9.09  % (3194470)------------------------------
% 30.29/9.09  % (3194470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.29/9.09  % (3194470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.29/9.09  % (3194470)CaDiCaL version: 2.1.3
% 30.29/9.09  % (3194470)Termination reason: Instruction limit
% 30.29/9.09  % (3194470)Termination phase: Saturation
% 30.29/9.09  % (3194470)Time elapsed: 2.592 s
% 30.29/9.09  % (3194470)Peak memory usage: 169 MB
% 30.29/9.09  % (3194470)Instructions burned: 5209 (million)
% 30.29/9.09  % (3194491)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1632416165:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2962 on theBenchmark for (2962ds/10307Mi)
% 30.29/9.09  % (3194492)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2563279955:i=412:gtgl=4:gtg=exists_all_2960 on theBenchmark for (2960ds/412Mi)
% 30.29/9.09  % (3194463)Instruction limit reached! 
% 30.29/9.09  % (3194463)------------------------------
% 30.29/9.09  % (3194463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.29/9.09  % (3194463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194463)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194463)Termination reason: Instruction limit
% 55.26/9.39  % (3194463)Termination phase: Saturation
% 55.26/9.39  % (3194463)Time elapsed: 3.406 s
% 55.26/9.39  % (3194463)Peak memory usage: 149 MB
% 55.26/9.39  % (3194463)Instructions burned: 3395 (million)
% 55.26/9.39  % (3194492)Instruction limit reached! 
% 55.26/9.39  % (3194492)------------------------------
% 55.26/9.39  % (3194492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194492)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194492)Termination reason: Instruction limit
% 55.26/9.39  % (3194492)Termination phase: Saturation
% 55.26/9.39  % (3194492)Time elapsed: 0.213 s
% 55.26/9.39  % (3194492)Peak memory usage: 96 MB
% 55.26/9.39  % (3194492)Instructions burned: 413 (million)
% 55.26/9.39  % (3194496)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=1537183826:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2955 on theBenchmark for (2955ds/303Mi)
% 55.26/9.39  % (3194495)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=2614116185:s2pl=no:i=8478:s2at=4:nm=6_2955 on theBenchmark for (2955ds/8478Mi)
% 55.26/9.39  % (3194496)Instruction limit reached! 
% 55.26/9.39  % (3194496)------------------------------
% 55.26/9.39  % (3194496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194496)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194496)Termination reason: Instruction limit
% 55.26/9.39  % (3194496)Termination phase: Saturation
% 55.26/9.39  % (3194496)Time elapsed: 0.137 s
% 55.26/9.39  % (3194496)Peak memory usage: 89 MB
% 55.26/9.39  % (3194496)Instructions burned: 304 (million)
% 55.26/9.39  % (3194499)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2093272848:st=4:i=720:sd=3:fsr=off:ss=axioms_2952 on theBenchmark for (2952ds/720Mi)
% 55.26/9.39  % (3194499)Instruction limit reached! 
% 55.26/9.39  % (3194499)------------------------------
% 55.26/9.39  % (3194499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194499)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194499)Termination reason: Instruction limit
% 55.26/9.39  % (3194499)Termination phase: Saturation
% 55.26/9.39  % (3194499)Time elapsed: 0.335 s
% 55.26/9.39  % (3194499)Peak memory usage: 92 MB
% 55.26/9.39  % (3194499)Instructions burned: 720 (million)
% 55.26/9.39  % (3194501)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3338119736:i=598:bs=on:bd=preordered:av=off:ss=axioms_2947 on theBenchmark for (2947ds/598Mi)
% 55.26/9.39  % (3194501)Instruction limit reached! 
% 55.26/9.39  % (3194501)------------------------------
% 55.26/9.39  % (3194501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194501)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194501)Termination reason: Instruction limit
% 55.26/9.39  % (3194501)Termination phase: Saturation
% 55.26/9.39  % (3194501)Time elapsed: 0.283 s
% 55.26/9.39  % (3194501)Peak memory usage: 93 MB
% 55.26/9.39  % (3194501)Instructions burned: 598 (million)
% 55.26/9.39  % (3194503)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2540822314:i=2989:sd=3:ss=axioms:sgt=60_2942 on theBenchmark for (2942ds/2989Mi)
% 55.26/9.39  % (3194485)Instruction limit reached! 
% 55.26/9.39  % (3194485)------------------------------
% 55.26/9.39  % (3194485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194485)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194485)Termination reason: Instruction limit
% 55.26/9.39  % (3194485)Termination phase: Saturation
% 55.26/9.39  % (3194485)Time elapsed: 3.066 s
% 55.26/9.39  % (3194485)Peak memory usage: 148 MB
% 55.26/9.39  % (3194485)Instructions burned: 3256 (million)
% 55.26/9.39  % (3194505)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=2055691558:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2941 on theBenchmark for (2941ds/1997Mi)
% 55.26/9.39  % (3194439)First to succeed.
% 55.26/9.39  % (3194439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3194433"
% 55.26/9.39  % (3194503)Instruction limit reached! 
% 55.26/9.39  % (3194503)------------------------------
% 55.26/9.39  % (3194503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194503)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194503)Termination reason: Instruction limit
% 55.26/9.39  % (3194503)Termination phase: Saturation
% 55.26/9.39  % (3194503)Time elapsed: 1.550 s
% 55.26/9.39  % (3194503)Peak memory usage: 145 MB
% 55.26/9.39  % (3194503)Instructions burned: 2990 (million)
% 55.26/9.39  % (3194507)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3343436711:i=2088:bd=preordered:av=off_2925 on theBenchmark for (2925ds/2088Mi)
% 55.26/9.39  % (3194439)Refutation found. Thanks to Tanya!
% 55.26/9.39  % SZS status Unsatisfiable for theBenchmark
% 55.26/9.39  % SZS output start Proof for theBenchmark
% See solution above
% 55.26/9.39  % (3194439)------------------------------
% 55.26/9.39  % (3194439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.26/9.39  % (3194439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.26/9.39  % (3194439)CaDiCaL version: 2.1.3
% 55.26/9.39  % (3194439)Termination reason: Refutation
% 55.26/9.39  % (3194439)Time elapsed: 6.552 s
% 55.26/9.39  % (3194439)Peak memory usage: 176 MB
% 55.26/9.39  % (3194439)Instructions burned: 6757 (million)
% 55.26/9.39  % (3194439)------------------------------
% 55.26/9.39  % (3194439)------------------------------
% 55.26/9.39  % (3194433)Success in time 7.803 s
% 55.26/9.39  % Vampire exiting
%------------------------------------------------------------------------------