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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW364+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 01:30:12 PM UTC 2026

% Result   : ContradictoryAxioms 22.21s 4.30s
% Output   : Refutation 22.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-3 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,axiom,
    ! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).

fof(f3275,axiom,
    ! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).

fof(f5206,axiom,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).

fof(f5208,axiom,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).

fof(f8433,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[],[f104]) ).

fof(f8635,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),
    inference(cnf_transformation,[],[f5206]) ).

fof(f8657,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
    inference(cnf_transformation,[],[f5208]) ).

fof(f8717,plain,
    ! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
    inference(cnf_transformation,[],[f3275]) ).

fof(f13023,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X0)),X2),X1),
    inference(superposition,[],[f8657,f8635]) ).

fof(f13058,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7),
    inference(superposition,[],[f8433,f13023]) ).

fof(f13074,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),c_Set_OCollect(X1)),X0) != hAPP(X0,X0),
    inference(superposition,[],[f13058,f8717]) ).

fof(f13090,plain,
    $false,
    inference(equality_resolution,[],[f13074]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW364+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n011.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 13:42:01 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  Running first-order theorem proving
% 0.10/0.23  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
% 11.37/2.68  % (3387309)Detected formulas, will run a generic FOF schedule.
% 11.37/2.68  % (3387319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3704648008:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.37/2.68  % (3387319)Instruction limit reached! 
% 11.37/2.68  % (3387319)------------------------------
% 11.37/2.68  % (3387319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.68  % (3387319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.68  % (3387319)CaDiCaL version: 2.1.3
% 11.37/2.68  % (3387319)Termination reason: Instruction limit
% 11.37/2.68  % (3387319)Termination phase: SInE selection
% 11.37/2.68  % (3387319)Time elapsed: 0.032 s
% 11.37/2.68  % (3387319)Peak memory usage: 90 MB
% 11.37/2.68  % (3387319)Instructions burned: 139 (million)
% 11.37/2.68  % (3387320)dis-21_1_sil=8000:lcm=predicate:random_seed=1351959715:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.37/2.68  % (3387314)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=3609880487:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.37/2.68  % (3387318)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1212125561:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.37/2.68  % (3387316)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=879251575:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.37/2.68  % (3387317)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=911283427:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.37/2.68  % (3387315)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=3895904748:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.37/2.68  % (3387317)Instruction limit reached! 
% 11.37/2.68  % (3387317)------------------------------
% 11.37/2.68  % (3387317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.68  % (3387317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.68  % (3387317)CaDiCaL version: 2.1.3
% 11.37/2.68  % (3387317)Termination reason: Instruction limit
% 11.37/2.68  % (3387317)Termination phase: Saturation
% 11.37/2.68  % (3387317)Time elapsed: 0.063 s
% 11.37/2.68  % (3387317)Peak memory usage: 94 MB
% 11.37/2.68  % (3387317)Instructions burned: 109 (million)
% 11.37/2.68  % (3387318)Instruction limit reached! 
% 11.37/2.68  % (3387318)------------------------------
% 11.37/2.68  % (3387318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.68  % (3387318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.68  % (3387318)CaDiCaL version: 2.1.3
% 11.37/2.68  % (3387318)Termination reason: Instruction limit
% 11.37/2.68  % (3387318)Termination phase: Property scanning
% 11.37/2.68  % (3387318)Time elapsed: 0.067 s
% 11.37/2.68  % (3387318)Peak memory usage: 92 MB
% 11.37/2.68  % (3387318)Instructions burned: 121 (million)
% 11.37/2.68  % (3387322)lrs+10_1_sil=8000:sp=occurrence:random_seed=1254598811:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.37/2.68  % (3387320)Instruction limit reached! 
% 11.37/2.68  % (3387320)------------------------------
% 11.37/2.68  % (3387320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.68  % (3387320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.68  % (3387320)CaDiCaL version: 2.1.3
% 11.37/2.68  % (3387320)Termination reason: Instruction limit
% 11.37/2.68  % (3387320)Termination phase: Preprocessing 3
% 11.37/2.68  % (3387320)Time elapsed: 0.084 s
% 11.37/2.68  % (3387320)Peak memory usage: 93 MB
% 11.37/2.68  % (3387320)Instructions burned: 129 (million)
% 11.37/2.68  % (3387322)Instruction limit reached! 
% 11.37/2.68  % (3387322)------------------------------
% 11.37/2.68  % (3387322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.68  % (3387322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.68  % (3387322)CaDiCaL version: 2.1.3
% 11.37/2.68  % (3387322)Termination reason: Instruction limit
% 11.37/2.68  % (3387322)Termination phase: Saturation
% 11.37/2.68  % (3387322)Time elapsed: 0.089 s
% 11.37/2.68  % (3387322)Peak memory usage: 96 MB
% 11.37/2.68  % (3387322)Instructions burned: 286 (million)
% 18.87/3.78  % (3387330)lrs+1011_1_sil=32000:sp=occurrence:random_seed=112626203:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 18.87/3.78  % (3387329)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1739831315:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 18.87/3.78  % (3387332)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=4210807704:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 18.87/3.78  % (3387333)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=870947536:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 18.87/3.78  % (3387329)Instruction limit reached! 
% 18.87/3.78  % (3387329)------------------------------
% 18.87/3.78  % (3387329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.78  % (3387329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.78  % (3387329)CaDiCaL version: 2.1.3
% 18.87/3.78  % (3387329)Termination reason: Instruction limit
% 18.87/3.78  % (3387329)Termination phase: Property scanning
% 18.87/3.78  % (3387329)Time elapsed: 0.071 s
% 18.87/3.78  % (3387329)Peak memory usage: 91 MB
% 18.87/3.78  % (3387329)Instructions burned: 157 (million)
% 18.87/3.78  % (3387332)Instruction limit reached! 
% 18.87/3.78  % (3387332)------------------------------
% 18.87/3.78  % (3387332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.78  % (3387332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.78  % (3387332)CaDiCaL version: 2.1.3
% 18.87/3.78  % (3387332)Termination reason: Instruction limit
% 18.87/3.78  % (3387332)Termination phase: Preprocessing 3
% 18.87/3.78  % (3387332)Time elapsed: 0.125 s
% 18.87/3.78  % (3387332)Peak memory usage: 93 MB
% 18.87/3.78  % (3387332)Instructions burned: 248 (million)
% 18.87/3.78  % (3387333)Instruction limit reached! 
% 18.87/3.78  % (3387333)------------------------------
% 18.87/3.78  % (3387333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.78  % (3387333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.78  % (3387333)CaDiCaL version: 2.1.3
% 18.87/3.78  % (3387333)Termination reason: Instruction limit
% 18.87/3.78  % (3387333)Termination phase: Property scanning
% 18.87/3.78  % (3387333)Time elapsed: 0.080 s
% 18.87/3.78  % (3387333)Peak memory usage: 94 MB
% 18.87/3.78  % (3387333)Instructions burned: 297 (million)
% 18.87/3.78  % (3387330)Instruction limit reached! 
% 18.87/3.78  % (3387330)------------------------------
% 18.87/3.78  % (3387330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.78  % (3387330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.78  % (3387330)CaDiCaL version: 2.1.3
% 18.87/3.78  % (3387330)Termination reason: Instruction limit
% 18.87/3.78  % (3387330)Termination phase: Saturation
% 18.87/3.78  % (3387330)Time elapsed: 0.210 s
% 18.87/3.78  % (3387330)Peak memory usage: 96 MB
% 18.87/3.78  % (3387330)Instructions burned: 325 (million)
% 18.87/3.78  % (3387338)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=416151435:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 18.87/3.78  % (3387340)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2496518846:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.87/3.78  % (3387340)Instruction limit reached! 
% 18.87/3.78  % (3387340)------------------------------
% 18.87/3.78  % (3387340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.87/3.78  % (3387340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.87/3.78  % (3387340)CaDiCaL version: 2.1.3
% 18.87/3.78  % (3387340)Termination reason: Instruction limit
% 18.87/3.78  % (3387340)Termination phase: Preprocessing 3
% 18.87/3.78  % (3387340)Time elapsed: 0.046 s
% 18.87/3.78  % (3387340)Peak memory usage: 94 MB
% 18.87/3.78  % (3387340)Instructions burned: 127 (million)
% 18.87/3.78  % (3387339)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2294309121:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 18.87/3.78  % (3387342)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=24759874:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 18.87/3.78  % (3387339)Instruction limit reached! 
% 18.87/3.78  % (3387339)------------------------------
% 18.87/3.78  % (3387339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387339)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387339)Termination reason: Instruction limit
% 22.21/4.30  % (3387339)Termination phase: Preprocessing 3
% 22.21/4.30  % (3387339)Time elapsed: 0.081 s
% 22.21/4.30  % (3387339)Peak memory usage: 93 MB
% 22.21/4.30  % (3387339)Instructions burned: 114 (million)
% 22.21/4.30  % (3387345)lrs+10_1_sil=8000:sp=occurrence:random_seed=2011207716:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 22.21/4.30  % (3387342)Instruction limit reached! 
% 22.21/4.30  % (3387342)------------------------------
% 22.21/4.30  % (3387342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387342)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387342)Termination reason: Instruction limit
% 22.21/4.30  % (3387342)Termination phase: Property scanning
% 22.21/4.30  % (3387342)Time elapsed: 0.044 s
% 22.21/4.30  % (3387342)Peak memory usage: 90 MB
% 22.21/4.30  % (3387342)Instructions burned: 116 (million)
% 22.21/4.30  % (3387348)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1873901003:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 22.21/4.30  % (3387349)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3180154924:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 22.21/4.30  % (3387345)Instruction limit reached! 
% 22.21/4.30  % (3387345)------------------------------
% 22.21/4.30  % (3387345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387345)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387345)Termination reason: Instruction limit
% 22.21/4.30  % (3387345)Termination phase: Saturation
% 22.21/4.30  % (3387345)Time elapsed: 0.280 s
% 22.21/4.30  % (3387345)Peak memory usage: 104 MB
% 22.21/4.30  % (3387345)Instructions burned: 911 (million)
% 22.21/4.30  % (3387348)Instruction limit reached! 
% 22.21/4.30  % (3387348)------------------------------
% 22.21/4.30  % (3387348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387348)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387348)Termination reason: Instruction limit
% 22.21/4.30  % (3387348)Termination phase: Property scanning
% 22.21/4.30  % (3387348)Time elapsed: 0.209 s
% 22.21/4.30  % (3387348)Peak memory usage: 96 MB
% 22.21/4.30  % (3387348)Instructions burned: 437 (million)
% 22.21/4.30  % (3387352)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=31701892:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 22.21/4.30  % (3387353)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1659253988:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 22.21/4.30  % (3387352)Instruction limit reached! 
% 22.21/4.30  % (3387352)------------------------------
% 22.21/4.30  % (3387352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387352)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387352)Termination reason: Instruction limit
% 22.21/4.30  % (3387352)Termination phase: NewCNF
% 22.21/4.30  % (3387352)Time elapsed: 0.096 s
% 22.21/4.30  % (3387352)Peak memory usage: 95 MB
% 22.21/4.30  % (3387352)Instructions burned: 136 (million)
% 22.21/4.30  % (3387356)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3749841964:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 22.21/4.30  % (3387353)Instruction limit reached! 
% 22.21/4.30  % (3387353)------------------------------
% 22.21/4.30  % (3387353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387353)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387353)Termination reason: Instruction limit
% 22.21/4.30  % (3387353)Termination phase: Property scanning
% 22.21/4.30  % (3387353)Time elapsed: 0.297 s
% 22.21/4.30  % (3387353)Peak memory usage: 97 MB
% 22.21/4.30  % (3387353)Instructions burned: 592 (million)
% 22.21/4.30  % (3387358)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=1805760390:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 22.21/4.30  % (3387358)Instruction limit reached! 
% 22.21/4.30  % (3387358)------------------------------
% 22.21/4.30  % (3387358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387358)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387358)Termination reason: Instruction limit
% 22.21/4.30  % (3387358)Termination phase: SInE selection
% 22.21/4.30  % (3387358)Time elapsed: 0.051 s
% 22.21/4.30  % (3387358)Peak memory usage: 90 MB
% 22.21/4.30  % (3387358)Instructions burned: 126 (million)
% 22.21/4.30  % (3387360)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4145626067:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 22.21/4.30  % (3387360)Instruction limit reached! 
% 22.21/4.30  % (3387360)------------------------------
% 22.21/4.30  % (3387360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387360)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387360)Termination reason: Instruction limit
% 22.21/4.30  % (3387360)Termination phase: Initialization
% 22.21/4.30  % (3387360)Time elapsed: 0.052 s
% 22.21/4.30  % (3387360)Peak memory usage: 90 MB
% 22.21/4.30  % (3387360)Instructions burned: 134 (million)
% 22.21/4.30  % (3387362)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=224205153:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 22.21/4.30  % (3387362)Instruction limit reached! 
% 22.21/4.30  % (3387362)------------------------------
% 22.21/4.30  % (3387362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387362)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387362)Termination reason: Instruction limit
% 22.21/4.30  % (3387362)Termination phase: Saturation
% 22.21/4.30  % (3387362)Time elapsed: 0.090 s
% 22.21/4.30  % (3387362)Peak memory usage: 95 MB
% 22.21/4.30  % (3387362)Instructions burned: 141 (million)
% 22.21/4.30  % (3387338)Instruction limit reached! 
% 22.21/4.30  % (3387338)------------------------------
% 22.21/4.30  % (3387338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387338)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387338)Termination reason: Instruction limit
% 22.21/4.30  % (3387338)Termination phase: Saturation
% 22.21/4.30  % (3387338)Time elapsed: 1.562 s
% 22.21/4.30  % (3387338)Peak memory usage: 241 MB
% 22.21/4.30  % (3387338)Instructions burned: 2352 (million)
% 22.21/4.30  % (3387364)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2821482714:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 22.21/4.30  % (3387365)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=2929997121:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 22.21/4.30  % (3387364)Instruction limit reached! 
% 22.21/4.30  % (3387364)------------------------------
% 22.21/4.30  % (3387364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387364)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387364)Termination reason: Instruction limit
% 22.21/4.30  % (3387364)Termination phase: Saturation
% 22.21/4.30  % (3387364)Time elapsed: 0.232 s
% 22.21/4.30  % (3387364)Peak memory usage: 96 MB
% 22.21/4.30  % (3387364)Instructions burned: 432 (million)
% 22.21/4.30  % (3387368)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=2661220479:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 22.21/4.30  % (3387349)First to succeed.
% 22.21/4.30  % (3387349)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3387309"
% 22.21/4.30  % (3387368)Instruction limit reached! 
% 22.21/4.30  % (3387368)------------------------------
% 22.21/4.30  % (3387368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387368)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387368)Termination reason: Instruction limit
% 22.21/4.30  % (3387368)Termination phase: Preprocessing 3
% 22.21/4.30  % (3387368)Time elapsed: 0.096 s
% 22.21/4.30  % (3387368)Peak memory usage: 94 MB
% 22.21/4.30  % (3387368)Instructions burned: 152 (million)
% 22.21/4.30  % (3387370)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1735803070:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 22.21/4.30  % (3387349)Refutation found. Thanks to Tanya!
% 22.21/4.30  % SZS status ContradictoryAxioms for theBenchmark
% 22.21/4.30  % SZS output start Proof for theBenchmark
% See solution above
% 22.21/4.30  % (3387349)------------------------------
% 22.21/4.30  % (3387349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.21/4.30  % (3387349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.21/4.30  % (3387349)CaDiCaL version: 2.1.3
% 22.21/4.30  % (3387349)Termination reason: Refutation
% 22.21/4.30  % (3387349)Time elapsed: 1.837 s
% 22.21/4.30  % (3387349)Peak memory usage: 167 MB
% 22.21/4.30  % (3387349)Instructions burned: 3201 (million)
% 22.21/4.30  % (3387349)------------------------------
% 22.21/4.30  % (3387349)------------------------------
% 22.21/4.30  % (3387309)Success in time 3.404 s
% 22.21/4.30  % Vampire exiting
%------------------------------------------------------------------------------