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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR114+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 09:43:19 AM UTC 2026

% Result   : Theorem 0.19s 1.30s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :  305 (   0 equ)
%            Maximal formula atoms :   58 (  19 avg)
%            Number of connectives :  292 (   3   ~;   0   |; 289   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   58 (  20 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :    8 (   4   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10188,conjecture,
    ? [X0,X1] : attr(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_004_mira_news_526) ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1] : attr(X0,X1),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,axiom,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & val(c6,c3)
    & sub(c7,monat_1_1)
    & val(c7,c4)
    & sort(c5,t)
    & card(c5,int1)
    & etype(c5,int0)
    & fact(c5,real)
    & gener(c5,sp)
    & quant(c5,one)
    & refer(c5,det)
    & varia(c5,con)
    & sort(c6,me)
    & sort(c6,oa)
    & sort(c6,ta)
    & card(c6,card_c)
    & etype(c6,etype_c)
    & fact(c6,real)
    & gener(c6,sp)
    & quant(c6,quant_c)
    & refer(c6,refer_c)
    & varia(c6,varia_c)
    & sort(c7,me)
    & sort(c7,oa)
    & sort(c7,ta)
    & card(c7,card_c)
    & etype(c7,etype_c)
    & fact(c7,real)
    & gener(c7,sp)
    & quant(c7,quant_c)
    & refer(c7,refer_c)
    & varia(c7,varia_c)
    & sort(tag_1_1,me)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,ta)
    & card(tag_1_1,card_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & sort(c3,nu)
    & card(c3,int9)
    & sort(monat_1_1,me)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,ta)
    & card(monat_1_1,card_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & sort(c4,nu)
    & card(c4,int11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_004_mira_news_526) ).

fof(f10194,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & val(c6,c3)
    & sub(c7,monat_1_1)
    & val(c7,c4)
    & sort(c5,t)
    & card(c5,int1)
    & fact(c5,real)
    & gener(c5,sp)
    & quant(c5,one)
    & refer(c5,det)
    & varia(c5,con)
    & sort(c6,me)
    & sort(c6,oa)
    & sort(c6,ta)
    & card(c6,card_c)
    & fact(c6,real)
    & gener(c6,sp)
    & quant(c6,quant_c)
    & refer(c6,refer_c)
    & varia(c6,varia_c)
    & sort(c7,me)
    & sort(c7,oa)
    & sort(c7,ta)
    & card(c7,card_c)
    & fact(c7,real)
    & gener(c7,sp)
    & quant(c7,quant_c)
    & refer(c7,refer_c)
    & varia(c7,varia_c)
    & sort(tag_1_1,me)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,ta)
    & card(tag_1_1,card_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & sort(c3,nu)
    & card(c3,int9)
    & sort(monat_1_1,me)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,ta)
    & card(monat_1_1,card_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & sort(c4,nu)
    & card(c4,int11) ),
    inference(pure_predicate_removal,[],[f10190]) ).

fof(f10195,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & sort(c5,t)
    & card(c5,int1)
    & fact(c5,real)
    & gener(c5,sp)
    & quant(c5,one)
    & refer(c5,det)
    & varia(c5,con)
    & sort(c6,me)
    & sort(c6,oa)
    & sort(c6,ta)
    & card(c6,card_c)
    & fact(c6,real)
    & gener(c6,sp)
    & quant(c6,quant_c)
    & refer(c6,refer_c)
    & varia(c6,varia_c)
    & sort(c7,me)
    & sort(c7,oa)
    & sort(c7,ta)
    & card(c7,card_c)
    & fact(c7,real)
    & gener(c7,sp)
    & quant(c7,quant_c)
    & refer(c7,refer_c)
    & varia(c7,varia_c)
    & sort(tag_1_1,me)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,ta)
    & card(tag_1_1,card_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & sort(c3,nu)
    & card(c3,int9)
    & sort(monat_1_1,me)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,ta)
    & card(monat_1_1,card_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & sort(c4,nu)
    & card(c4,int11) ),
    inference(pure_predicate_removal,[],[f10194]) ).

fof(f10213,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & card(c5,int1)
    & fact(c5,real)
    & gener(c5,sp)
    & quant(c5,one)
    & refer(c5,det)
    & varia(c5,con)
    & card(c6,card_c)
    & fact(c6,real)
    & gener(c6,sp)
    & quant(c6,quant_c)
    & refer(c6,refer_c)
    & varia(c6,varia_c)
    & card(c7,card_c)
    & fact(c7,real)
    & gener(c7,sp)
    & quant(c7,quant_c)
    & refer(c7,refer_c)
    & varia(c7,varia_c)
    & card(tag_1_1,card_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & card(c3,int9)
    & card(monat_1_1,card_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & card(c4,int11) ),
    inference(pure_predicate_removal,[],[f10195]) ).

fof(f10216,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & card(c5,int1)
    & fact(c5,real)
    & gener(c5,sp)
    & refer(c5,det)
    & varia(c5,con)
    & card(c6,card_c)
    & fact(c6,real)
    & gener(c6,sp)
    & refer(c6,refer_c)
    & varia(c6,varia_c)
    & card(c7,card_c)
    & fact(c7,real)
    & gener(c7,sp)
    & refer(c7,refer_c)
    & varia(c7,varia_c)
    & card(tag_1_1,card_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & card(c3,int9)
    & card(monat_1_1,card_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & card(c4,int11) ),
    inference(pure_predicate_removal,[],[f10213]) ).

fof(f10219,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & fact(c5,real)
    & gener(c5,sp)
    & refer(c5,det)
    & varia(c5,con)
    & fact(c6,real)
    & gener(c6,sp)
    & refer(c6,refer_c)
    & varia(c6,varia_c)
    & fact(c7,real)
    & gener(c7,sp)
    & refer(c7,refer_c)
    & varia(c7,varia_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10216]) ).

fof(f10221,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & fact(c5,real)
    & gener(c5,sp)
    & varia(c5,con)
    & fact(c6,real)
    & gener(c6,sp)
    & varia(c6,varia_c)
    & fact(c7,real)
    & gener(c7,sp)
    & varia(c7,varia_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & varia(tag_1_1,varia_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & varia(monat_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10219]) ).

fof(f10224,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & gener(c5,sp)
    & varia(c5,con)
    & gener(c6,sp)
    & varia(c6,varia_c)
    & gener(c7,sp)
    & varia(c7,varia_c)
    & gener(tag_1_1,ge)
    & varia(tag_1_1,varia_c)
    & gener(monat_1_1,ge)
    & varia(monat_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10221]) ).

fof(f10226,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1)
    & gener(c5,sp)
    & gener(c6,sp)
    & gener(c7,sp)
    & gener(tag_1_1,ge)
    & gener(monat_1_1,ge) ),
    inference(pure_predicate_removal,[],[f10224]) ).

fof(f10229,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c6,tag_1_1)
    & sub(c7,monat_1_1) ),
    inference(pure_predicate_removal,[],[f10226]) ).

fof(f10230,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(ennf_transformation,[],[f10189]) ).

fof(f10253,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(cnf_transformation,[],[f10230]) ).

fof(f10256,plain,
    attr(c5,c7),
    inference(cnf_transformation,[],[f10229]) ).

fof(f10272,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f10256,f10253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR114+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n008.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 23:11:09 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 0.19/1.30  % (2750180)Detected formulas, will run a generic FOF schedule.
% 0.19/1.30  % (2750189)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2874971545:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 0.19/1.30  % (2750189)First to succeed.
% 0.19/1.30  % (2750189)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2750180"
% 0.19/1.30  % (2750188)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3155812684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 0.19/1.30  % (2750190)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3629663718:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 0.19/1.30  % (2750185)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=1824864675:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 0.19/1.30  % (2750186)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=3019699587:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 0.19/1.30  % (2750187)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=2434704373:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 0.19/1.30  % (2750191)dis-21_1_sil=8000:lcm=predicate:random_seed=4012349147:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 0.19/1.30  % (2750188)Also succeeded, but the first one will report.
% 0.19/1.30  % (2750191)Also succeeded, but the first one will report.
% 0.19/1.30  % (2750190)Instruction limit reached! 
% 0.19/1.30  % (2750190)------------------------------
% 0.19/1.30  % (2750190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30  % (2750190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30  % (2750190)CaDiCaL version: 2.1.3
% 0.19/1.30  % (2750190)Termination reason: Instruction limit
% 0.19/1.30  % (2750190)Termination phase: Saturation
% 0.19/1.30  % (2750190)Time elapsed: 0.067 s
% 0.19/1.30  % (2750190)Peak memory usage: 97 MB
% 0.19/1.30  % (2750190)Instructions burned: 142 (million)
% 0.19/1.30  % (2750189)Refutation found. Thanks to Tanya!
% 0.19/1.30  % SZS status Theorem for theBenchmark
% 0.19/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30  % (2750189)------------------------------
% 0.19/1.30  % (2750189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30  % (2750189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30  % (2750189)CaDiCaL version: 2.1.3
% 0.19/1.30  % (2750189)Termination reason: Refutation
% 0.19/1.30  % (2750189)Time elapsed: 0.015 s
% 0.19/1.30  % (2750189)Peak memory usage: 98 MB
% 0.19/1.30  % (2750189)Instructions burned: 51 (million)
% 0.19/1.30  % (2750189)------------------------------
% 0.19/1.30  % (2750189)------------------------------
% 0.19/1.30  % (2750180)Success in time 0.438 s
% 0.19/1.30  % Vampire exiting
%------------------------------------------------------------------------------