0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command    : run_vampire %s %d THM
0.08/0.34	% Computer   : n012.cluster.edu
0.08/0.34	% Model      : x86_64 x86_64
0.08/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.34	% Memory     : 8046.5625MB
0.08/0.34	% OS         : Linux 6.8.0-71-generic
0.08/0.34	% CPULimit   : 1440
0.08/0.34	% WCLimit    : 180
0.08/0.34	% DateTime   : Mon Jul 27 10:24:03 UTC 2026
0.08/0.34	% CPUTime    : 
0.12/0.37	This is a FOF_ problem
0.12/0.38	Running first-order theorem proving
0.12/0.38	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863253)lrs+1011_1_sp=occurrence:random_seed=1411561804:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863257)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=2216913551:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi)
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863258)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=1577787923:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863259)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=1845673936:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi)
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863256)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=2282569985:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863255)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3366104864:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
0.57/0.46	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.46	% (1863254)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=1181642708:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.57/0.48	% (1863258)First to succeed.
0.57/0.49	% (1863256)Also succeeded, but the first one will report.
0.57/0.49	% (1863258)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1863251"
0.57/0.49	% (1863257)Also succeeded, but the first one will report.
0.57/0.49	% (1863251)Running in auto input_syntax mode. Trying TPTP
0.57/0.49	% (1863258)Refutation found. Thanks to Tanya!
0.57/0.49	% SZS status Theorem for theBenchmark
0.57/0.49	% SZS output start Proof for theBenchmark
0.57/0.49	fof(f852,plain,(
0.57/0.49	  $false),
0.57/0.49	  inference(avatar_sat_refutation,[],[f844,f851])).
0.57/0.49	fof(f851,plain,(
0.57/0.49	  ~spl12_13),
0.57/0.49	  inference(avatar_contradiction_clause,[],[f850])).
0.57/0.49	fof(f850,plain,(
0.57/0.49	  $false | ~spl12_13),
0.57/0.49	  inference(subsumption_resolution,[],[f847,f300])).
0.57/0.49	fof(f300,plain,(
0.57/0.49	  ( ! [X0] : (~leq(X0,X0)) )),
0.57/0.49	  inference(consistent_polarity_flipping,[],[f223])).
0.57/0.49	fof(f223,plain,(
0.57/0.49	  ( ! [X0] : (leq(X0,X0)) )),
0.57/0.49	  inference(cnf_transformation,[],[f63])).
0.57/0.49	fof(f63,axiom,(
0.57/0.49	  ! [X0] : leq(X0,X0)),
0.57/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.57/0.49	fof(f847,plain,(
0.57/0.49	  leq(nbr_proc,nbr_proc) | ~spl12_13),
0.57/0.49	  inference(forward_demodulation,[],[f845,f556])).
0.57/0.49	fof(f556,plain,(
0.57/0.49	  nbr_proc = host(sK7) | ~spl12_13),
0.57/0.49	  inference(avatar_component_clause,[],[f555])).
0.57/0.49	fof(f555,definition,(
0.57/0.49	  spl12_13 <=> nbr_proc = host(sK7)),
0.57/0.49	  introduced(definition,[new_symbols(naming,[spl12_13])],[avatar_definition])).
0.57/0.49	fof(f845,plain,(
0.57/0.49	  leq(nbr_proc,host(sK7))),
0.57/0.49	  inference(subsumption_resolution,[],[f837,f285])).
0.57/0.49	fof(f285,plain,(
0.57/0.49	  ( ! [X0] : (~leq(host(X0),nbr_proc)) )),
0.57/0.49	  inference(consistent_polarity_flipping,[],[f180])).
0.57/0.49	fof(f180,plain,(
0.57/0.49	  ( ! [X0] : (leq(host(X0),nbr_proc)) )),
0.57/0.49	  inference(cnf_transformation,[],[f90])).
0.57/0.49	fof(f90,plain,(
0.57/0.49	  ! [X0] : leq(host(X0),nbr_proc)),
0.57/0.49	  inference(rectify,[],[f29])).
0.57/0.49	fof(f29,axiom,(
0.57/0.49	  ! [X3] : leq(host(X3),nbr_proc)),
0.57/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.57/0.49	fof(f837,plain,(
0.57/0.49	  leq(host(sK7),nbr_proc) | leq(nbr_proc,host(sK7))),
0.57/0.49	  inference(forward_demodulation,[],[f825,f309])).
0.57/0.49	fof(f309,plain,(
0.57/0.49	  nbr_proc = host(sK5)),
0.57/0.49	  inference(superposition,[],[f231,f228])).
0.57/0.49	fof(f228,plain,(
0.57/0.49	  host(sK11) = host(sK5)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f130,plain,(
0.57/0.49	  ? [X0,X1,X2,X3] : (? [X32] : (? [X33,X34,X35] : (elem(m_Down(X33),queue(host(X32))) & setIn(X32,alive) & host(X35) = host(X33) & nbr_proc = host(X35) & elec_1 = index(status,host(X35)) & elem(m_Down(X34),X0) & ! [X36] : (host(X34) = X36 | setIn(X36,index(down,host(X35))) | leq(host(X35),X36) | ~leq(s(zero),X36)) & host(X2) = host(X35)) & host(X2) != host(X32)) & (elec_2 != index(status,host(X2)) | host(X3) != index(pendack,host(X2)) | index(elid,host(X2)) != X1) & setIn(X2,alive) & ! [X4,X5,X6] : (~elem(m_Down(X4),queue(host(X5))) | host(X6) = host(X5) | norm != index(status,host(X6)) | host(X5) != index(ldr,host(X6)) | host(X6) != host(X4) | ~setIn(X6,alive)) & ! [X7,X8,X9] : (~elem(m_Down(X7),queue(host(X8))) | host(X9) = host(X8) | ~setIn(X9,alive) | host(X9) != host(X7) | wait != index(status,host(X9)) | host(X8) != host(index(elid,host(X9)))) & ! [X10,X11,X12,X13] : (~elem(m_Down(X13),queue(host(X10))) | ~setIn(host(X11),index(down,host(X12))) | host(X10) = host(X12) | ~setIn(X12,alive) | host(X10) != host(X11) | host(X13) != host(X12) | ~setIn(X10,alive)) & queue(host(X2)) = cons(m_Ack(X1,X3),X0) & ! [X14,X15,X16,X17] : (~setIn(X14,alive) | ~elem(m_Down(X15),queue(host(X14))) | ? [X18] : (~setIn(X18,index(down,host(X17))) & host(X16) != X18 & ~leq(host(X17),X18) & leq(s(zero),X18)) | ~elem(m_Down(X16),queue(host(X17))) | host(X15) != host(X17) | elec_1 != index(status,host(X17)) | nbr_proc != host(X17)) & ! [X19,X20,X21,X22] : (~elem(m_Down(X22),queue(host(X19))) | ~elem(m_Down(X20),queue(host(X21))) | host(X22) != host(X21) | host(X19) != host(X20) | ~setIn(X21,alive) | ~setIn(X19,alive) | host(X19) = host(X21)) & ! [X23] : (index(elid,host(X23)) = X23 | (elec_2 != index(status,host(X23)) & elec_1 != index(status,host(X23))) | ~setIn(X23,alive)) & ! [X24,X25] : (~setIn(X25,alive) | ~setIn(X24,alive) | X24 = X25 | host(X24) != host(X25)) & ! [X26,X27] : (~elem(m_NotNorm(X26),queue(host(X27))) | nbr_proc != host(X27)) & ! [X28,X29] : (host(X28) != host(X29) | ~elem(m_Down(X29),queue(host(X28)))) & ! [X30,X31] : (~leq(host(X30),host(X31)) | ~elem(m_Ldr(X31),queue(host(X30)))))),
0.57/0.49	  inference(flattening,[],[f129])).
0.57/0.49	fof(f129,plain,(
0.57/0.49	  ? [X0,X1,X2,X3] : (((? [X32] : (? [X33,X34,X35] : (((elem(m_Down(X33),queue(host(X32))) & setIn(X32,alive)) & (host(X35) = host(X33) & nbr_proc = host(X35) & elec_1 = index(status,host(X35)) & elem(m_Down(X34),X0) & ! [X36] : ((host(X34) = X36 | setIn(X36,index(down,host(X35)))) | (leq(host(X35),X36) | ~leq(s(zero),X36))))) & host(X2) = host(X35)) & host(X2) != host(X32)) & (elec_2 != index(status,host(X2)) | host(X3) != index(pendack,host(X2)) | index(elid,host(X2)) != X1)) & setIn(X2,alive)) & (! [X4,X5,X6] : (~elem(m_Down(X4),queue(host(X5))) | (host(X6) = host(X5) | norm != index(status,host(X6)) | host(X5) != index(ldr,host(X6)) | host(X6) != host(X4) | ~setIn(X6,alive))) & ! [X7,X8,X9] : (~elem(m_Down(X7),queue(host(X8))) | (host(X9) = host(X8) | ~setIn(X9,alive) | host(X9) != host(X7) | wait != index(status,host(X9)) | host(X8) != host(index(elid,host(X9))))) & ! [X10,X11,X12,X13] : ((~elem(m_Down(X13),queue(host(X10))) | ~setIn(host(X11),index(down,host(X12)))) | (host(X10) = host(X12) | ~setIn(X12,alive) | host(X10) != host(X11) | host(X13) != host(X12) | ~setIn(X10,alive))) & queue(host(X2)) = cons(m_Ack(X1,X3),X0) & ! [X14,X15,X16,X17] : ((~setIn(X14,alive) | ~elem(m_Down(X15),queue(host(X14)))) | (? [X18] : ((~setIn(X18,index(down,host(X17))) & host(X16) != X18) & (~leq(host(X17),X18) & leq(s(zero),X18))) | ~elem(m_Down(X16),queue(host(X17))) | host(X15) != host(X17) | elec_1 != index(status,host(X17)) | nbr_proc != host(X17))) & ! [X19,X20,X21,X22] : ((~elem(m_Down(X22),queue(host(X19))) | ~elem(m_Down(X20),queue(host(X21)))) | (host(X22) != host(X21) | host(X19) != host(X20) | ~setIn(X21,alive) | ~setIn(X19,alive) | host(X19) = host(X21))) & ! [X23] : (index(elid,host(X23)) = X23 | ((elec_2 != index(status,host(X23)) & elec_1 != index(status,host(X23))) | ~setIn(X23,alive))) & ! [X24,X25] : ((~setIn(X25,alive) | ~setIn(X24,alive)) | (X24 = X25 | host(X24) != host(X25))) & ! [X26,X27] : (~elem(m_NotNorm(X26),queue(host(X27))) | nbr_proc != host(X27)) & ! [X28,X29] : (host(X28) != host(X29) | ~elem(m_Down(X29),queue(host(X28)))) & ! [X30,X31] : (~leq(host(X30),host(X31)) | ~elem(m_Ldr(X31),queue(host(X30))))))),
0.57/0.49	  inference(ennf_transformation,[],[f113])).
0.57/0.49	fof(f113,plain,(
0.57/0.49	  ~! [X0,X1,X2,X3] : ((! [X4,X5,X6] : ((host(X6) != host(X5) & norm = index(status,host(X6)) & host(X5) = index(ldr,host(X6)) & host(X6) = host(X4) & setIn(X6,alive)) => ~elem(m_Down(X4),queue(host(X5)))) & ! [X7,X8,X9] : ((host(X9) != host(X8) & setIn(X9,alive) & host(X9) = host(X7) & wait = index(status,host(X9)) & host(X8) = host(index(elid,host(X9)))) => ~elem(m_Down(X7),queue(host(X8)))) & ! [X10,X11,X12,X13] : ((host(X10) != host(X12) & setIn(X12,alive) & host(X10) = host(X11) & host(X13) = host(X12) & setIn(X10,alive)) => ~(elem(m_Down(X13),queue(host(X10))) & setIn(host(X11),index(down,host(X12))))) & queue(host(X2)) = cons(m_Ack(X1,X3),X0) & ! [X14,X15,X16,X17] : ((! [X18] : ((~leq(host(X17),X18) & leq(s(zero),X18)) => (setIn(X18,index(down,host(X17))) | host(X16) = X18)) & elem(m_Down(X16),queue(host(X17))) & host(X15) = host(X17) & elec_1 = index(status,host(X17)) & nbr_proc = host(X17)) => ~(setIn(X14,alive) & elem(m_Down(X15),queue(host(X14))))) & ! [X19,X20,X21,X22] : ((host(X22) = host(X21) & host(X19) = host(X20) & setIn(X21,alive) & setIn(X19,alive) & host(X19) != host(X21)) => ~(elem(m_Down(X22),queue(host(X19))) & elem(m_Down(X20),queue(host(X21))))) & ! [X23] : (((elec_2 = index(status,host(X23)) | elec_1 = index(status,host(X23))) & setIn(X23,alive)) => index(elid,host(X23)) = X23) & ! [X24,X25] : ((X24 != X25 & host(X24) = host(X25)) => (~setIn(X25,alive) | ~setIn(X24,alive))) & ! [X26,X27] : (nbr_proc = host(X27) => ~elem(m_NotNorm(X26),queue(host(X27)))) & ! [X28,X29] : (elem(m_Down(X29),queue(host(X28))) => host(X28) != host(X29)) & ! [X30,X31] : (elem(m_Ldr(X31),queue(host(X30))) => ~leq(host(X30),host(X31)))) => (setIn(X2,alive) => (~(elec_2 = index(status,host(X2)) & host(X3) = index(pendack,host(X2)) & index(elid,host(X2)) = X1) => ! [X32] : (host(X2) != host(X32) => ! [X33,X34,X35] : (host(X2) = host(X35) => ((host(X35) = host(X33) & nbr_proc = host(X35) & elec_1 = index(status,host(X35)) & elem(m_Down(X34),X0) & ! [X36] : ((~leq(host(X35),X36) & leq(s(zero),X36)) => (host(X34) = X36 | setIn(X36,index(down,host(X35)))))) => ~(elem(m_Down(X33),queue(host(X32))) & setIn(X32,alive))))))))),
0.57/0.49	  inference(rectify,[],[f68])).
0.57/0.49	fof(f68,negated_conjecture,(
0.57/0.49	  ~! [X11,X12,X0,X2] : ((! [X4,X19,X17] : ((host(X17) != host(X19) & norm = index(status,host(X17)) & host(X19) = index(ldr,host(X17)) & host(X4) = host(X17) & setIn(X17,alive)) => ~elem(m_Down(X4),queue(host(X19)))) & ! [X4,X19,X17] : ((host(X17) != host(X19) & setIn(X17,alive) & host(X4) = host(X17) & wait = index(status,host(X17)) & host(X19) = host(index(elid,host(X17)))) => ~elem(m_Down(X4),queue(host(X19)))) & ! [X4,X18,X19,X17] : ((host(X4) != host(X19) & setIn(X19,alive) & host(X4) = host(X18) & host(X17) = host(X19) & setIn(X4,alive)) => ~(elem(m_Down(X17),queue(host(X4))) & setIn(host(X18),index(down,host(X19))))) & queue(host(X0)) = cons(m_Ack(X12,X2),X11) & ! [X4,X18,X19,X17] : ((! [X16] : ((~leq(host(X17),X16) & leq(s(zero),X16)) => (setIn(X16,index(down,host(X17))) | host(X19) = X16)) & elem(m_Down(X19),queue(host(X17))) & host(X17) = host(X18) & elec_1 = index(status,host(X17)) & nbr_proc = host(X17)) => ~(setIn(X4,alive) & elem(m_Down(X18),queue(host(X4))))) & ! [X4,X18,X19,X17] : ((host(X17) = host(X19) & host(X4) = host(X18) & setIn(X19,alive) & setIn(X4,alive) & host(X4) != host(X19)) => ~(elem(m_Down(X17),queue(host(X4))) & elem(m_Down(X18),queue(host(X19))))) & ! [X4] : (((elec_2 = index(status,host(X4)) | elec_1 = index(status,host(X4))) & setIn(X4,alive)) => index(elid,host(X4)) = X4) & ! [X4,X17] : ((X4 != X17 & host(X4) = host(X17)) => (~setIn(X17,alive) | ~setIn(X4,alive))) & ! [X4,X17] : (nbr_proc = host(X17) => ~elem(m_NotNorm(X4),queue(host(X17)))) & ! [X4,X17] : (elem(m_Down(X17),queue(host(X4))) => host(X4) != host(X17)) & ! [X4,X17] : (elem(m_Ldr(X17),queue(host(X4))) => ~leq(host(X4),host(X17)))) => (setIn(X0,alive) => (~(elec_2 = index(status,host(X0)) & host(X2) = index(pendack,host(X0)) & index(elid,host(X0)) = X12) => ! [X4] : (host(X0) != host(X4) => ! [X13,X14,X15] : (host(X0) = host(X15) => ((host(X15) = host(X13) & nbr_proc = host(X15) & elec_1 = index(status,host(X15)) & elem(m_Down(X14),X11) & ! [X16] : ((~leq(host(X15),X16) & leq(s(zero),X16)) => (host(X14) = X16 | setIn(X16,index(down,host(X15)))))) => ~(elem(m_Down(X13),queue(host(X4))) & setIn(X4,alive))))))))),
0.57/0.49	  inference(negated_conjecture,[status(cth)],[f67])).
0.57/0.49	fof(f67,conjecture,(
0.57/0.49	  ! [X11,X12,X0,X2] : ((! [X4,X19,X17] : ((host(X17) != host(X19) & norm = index(status,host(X17)) & host(X19) = index(ldr,host(X17)) & host(X4) = host(X17) & setIn(X17,alive)) => ~elem(m_Down(X4),queue(host(X19)))) & ! [X4,X19,X17] : ((host(X17) != host(X19) & setIn(X17,alive) & host(X4) = host(X17) & wait = index(status,host(X17)) & host(X19) = host(index(elid,host(X17)))) => ~elem(m_Down(X4),queue(host(X19)))) & ! [X4,X18,X19,X17] : ((host(X4) != host(X19) & setIn(X19,alive) & host(X4) = host(X18) & host(X17) = host(X19) & setIn(X4,alive)) => ~(elem(m_Down(X17),queue(host(X4))) & setIn(host(X18),index(down,host(X19))))) & queue(host(X0)) = cons(m_Ack(X12,X2),X11) & ! [X4,X18,X19,X17] : ((! [X16] : ((~leq(host(X17),X16) & leq(s(zero),X16)) => (setIn(X16,index(down,host(X17))) | host(X19) = X16)) & elem(m_Down(X19),queue(host(X17))) & host(X17) = host(X18) & elec_1 = index(status,host(X17)) & nbr_proc = host(X17)) => ~(setIn(X4,alive) & elem(m_Down(X18),queue(host(X4))))) & ! [X4,X18,X19,X17] : ((host(X17) = host(X19) & host(X4) = host(X18) & setIn(X19,alive) & setIn(X4,alive) & host(X4) != host(X19)) => ~(elem(m_Down(X17),queue(host(X4))) & elem(m_Down(X18),queue(host(X19))))) & ! [X4] : (((elec_2 = index(status,host(X4)) | elec_1 = index(status,host(X4))) & setIn(X4,alive)) => index(elid,host(X4)) = X4) & ! [X4,X17] : ((X4 != X17 & host(X4) = host(X17)) => (~setIn(X17,alive) | ~setIn(X4,alive))) & ! [X4,X17] : (nbr_proc = host(X17) => ~elem(m_NotNorm(X4),queue(host(X17)))) & ! [X4,X17] : (elem(m_Down(X17),queue(host(X4))) => host(X4) != host(X17)) & ! [X4,X17] : (elem(m_Ldr(X17),queue(host(X4))) => ~leq(host(X4),host(X17)))) => (setIn(X0,alive) => (~(elec_2 = index(status,host(X0)) & host(X2) = index(pendack,host(X0)) & index(elid,host(X0)) = X12) => ! [X4] : (host(X0) != host(X4) => ! [X13,X14,X15] : (host(X0) = host(X15) => ((host(X15) = host(X13) & nbr_proc = host(X15) & elec_1 = index(status,host(X15)) & elem(m_Down(X14),X11) & ! [X16] : ((~leq(host(X15),X16) & leq(s(zero),X16)) => (host(X14) = X16 | setIn(X16,index(down,host(X15)))))) => ~(elem(m_Down(X13),queue(host(X4))) & setIn(X4,alive))))))))),
0.57/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.57/0.49	fof(f231,plain,(
0.57/0.49	  nbr_proc = host(sK11)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f825,plain,(
0.57/0.49	  leq(nbr_proc,host(sK7)) | leq(host(sK7),host(sK5))),
0.57/0.49	  inference(forward_demodulation,[],[f745,f309])).
0.57/0.49	fof(f745,plain,(
0.57/0.49	  leq(host(sK5),host(sK7)) | leq(host(sK7),host(sK5))),
0.57/0.49	  inference(extensionality_resolution,[],[f290,f241])).
0.57/0.49	fof(f241,plain,(
0.57/0.49	  host(sK5) != host(sK7)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f290,plain,(
0.57/0.49	  ( ! [X0,X1] : (leq(X0,X1) | X0 = X1 | leq(X1,X0)) )),
0.57/0.49	  inference(consistent_polarity_flipping,[],[f185])).
0.57/0.49	fof(f185,plain,(
0.57/0.49	  ( ! [X0,X1] : (X0 = X1 | ~leq(X0,X1) | ~leq(X1,X0)) )),
0.57/0.49	  inference(cnf_transformation,[],[f92])).
0.57/0.49	fof(f92,plain,(
0.57/0.49	  ! [X0,X1] : ((leq(X1,X0) & leq(X0,X1)) <=> X0 = X1)),
0.57/0.49	  inference(rectify,[],[f33])).
0.57/0.49	fof(f33,axiom,(
0.57/0.49	  ! [X0,X2] : ((leq(X2,X0) & leq(X0,X2)) <=> X0 = X2)),
0.57/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.57/0.49	fof(f844,plain,(
0.57/0.49	  spl12_13),
0.57/0.49	  inference(avatar_contradiction_clause,[],[f843])).
0.57/0.49	fof(f843,plain,(
0.57/0.49	  $false | spl12_13),
0.57/0.49	  inference(subsumption_resolution,[],[f842,f665])).
0.57/0.49	fof(f665,plain,(
0.57/0.49	  host(sK10) != host(sK7)),
0.57/0.49	  inference(resolution,[],[f658,f580])).
0.57/0.49	fof(f580,plain,(
0.57/0.49	  ( ! [X0] : (~elem(m_Down(X0),queue(nbr_proc)) | host(X0) != host(sK7)) )),
0.57/0.49	  inference(forward_demodulation,[],[f579,f309])).
0.57/0.49	fof(f579,plain,(
0.57/0.49	  ( ! [X0] : (host(X0) != host(sK7) | ~elem(m_Down(X0),queue(host(sK5)))) )),
0.57/0.49	  inference(subsumption_resolution,[],[f578,f241])).
0.57/0.49	fof(f578,plain,(
0.57/0.49	  ( ! [X0] : (host(X0) != host(sK7) | host(sK5) = host(sK7) | ~elem(m_Down(X0),queue(host(sK5)))) )),
0.57/0.49	  inference(subsumption_resolution,[],[f577,f309])).
0.57/0.49	fof(f577,plain,(
0.57/0.49	  ( ! [X0] : (nbr_proc != host(sK5) | host(X0) != host(sK7) | host(sK5) = host(sK7) | ~elem(m_Down(X0),queue(host(sK5)))) )),
0.57/0.49	  inference(resolution,[],[f574,f252])).
0.57/0.49	fof(f252,plain,(
0.57/0.49	  setIn(sK5,alive)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f574,plain,(
0.57/0.49	  ( ! [X0,X1] : (~setIn(X0,alive) | nbr_proc != host(X0) | host(X1) != host(sK7) | host(X0) = host(sK7) | ~elem(m_Down(X1),queue(host(X0)))) )),
0.57/0.49	  inference(subsumption_resolution,[],[f571,f234])).
0.57/0.49	fof(f234,plain,(
0.57/0.49	  elem(m_Down(sK9),queue(host(sK7)))),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f571,plain,(
0.57/0.49	  ( ! [X0,X1] : (nbr_proc != host(X0) | ~setIn(X0,alive) | host(X1) != host(sK7) | host(X0) = host(sK7) | ~elem(m_Down(X1),queue(host(X0))) | ~elem(m_Down(sK9),queue(host(sK7)))) )),
0.57/0.49	  inference(resolution,[],[f480,f233])).
0.57/0.49	fof(f233,plain,(
0.57/0.49	  setIn(sK7,alive)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f480,plain,(
0.57/0.49	  ( ! [X2,X0,X1] : (~setIn(X1,alive) | nbr_proc != host(X0) | ~setIn(X0,alive) | host(X1) != host(X2) | host(X1) = host(X0) | ~elem(m_Down(X2),queue(host(X0))) | ~elem(m_Down(sK9),queue(host(X1)))) )),
0.57/0.49	  inference(forward_demodulation,[],[f472,f309])).
0.57/0.49	fof(f472,plain,(
0.57/0.49	  ( ! [X2,X0,X1] : (host(X0) != host(sK5) | ~setIn(X1,alive) | ~setIn(X0,alive) | host(X1) != host(X2) | host(X1) = host(X0) | ~elem(m_Down(X2),queue(host(X0))) | ~elem(m_Down(sK9),queue(host(X1)))) )),
0.57/0.49	  inference(superposition,[],[f245,f306])).
0.57/0.49	fof(f306,plain,(
0.57/0.49	  host(sK5) = host(sK9)),
0.57/0.49	  inference(forward_demodulation,[],[f232,f228])).
0.57/0.49	fof(f232,plain,(
0.57/0.49	  host(sK11) = host(sK9)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f245,plain,(
0.57/0.49	  ( ! [X21,X19,X22,X20] : (host(X22) != host(X21) | ~setIn(X19,alive) | ~setIn(X21,alive) | host(X19) != host(X20) | host(X19) = host(X21) | ~elem(m_Down(X20),queue(host(X21))) | ~elem(m_Down(X22),queue(host(X19)))) )),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f658,plain,(
0.57/0.49	  elem(m_Down(sK10),queue(nbr_proc))),
0.57/0.49	  inference(resolution,[],[f657,f229])).
0.57/0.49	fof(f229,plain,(
0.57/0.49	  elem(m_Down(sK10),sK3)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f657,plain,(
0.57/0.49	  ( ! [X0] : (~elem(X0,sK3) | elem(X0,queue(nbr_proc))) )),
0.57/0.49	  inference(forward_demodulation,[],[f655,f309])).
0.57/0.49	fof(f655,plain,(
0.57/0.49	  ( ! [X0] : (elem(X0,queue(host(sK5))) | ~elem(X0,sK3)) )),
0.57/0.49	  inference(superposition,[],[f198,f251])).
0.57/0.49	fof(f251,plain,(
0.57/0.49	  queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f198,plain,(
0.57/0.49	  ( ! [X2,X0,X1] : (elem(X0,cons(X1,X2)) | ~elem(X0,X2)) )),
0.57/0.49	  inference(cnf_transformation,[],[f97])).
0.57/0.49	fof(f97,plain,(
0.57/0.49	  ! [X0,X1,X2] : ((X0 = X1 | elem(X0,X2)) <=> elem(X0,cons(X1,X2)))),
0.57/0.49	  inference(rectify,[],[f41])).
0.57/0.49	fof(f41,axiom,(
0.57/0.49	  ! [X0,X2,X1] : ((X0 = X2 | elem(X0,X1)) <=> elem(X0,cons(X2,X1)))),
0.57/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.57/0.49	fof(f842,plain,(
0.57/0.49	  host(sK10) = host(sK7) | spl12_13),
0.57/0.49	  inference(trivial_inequality_removal,[],[f839])).
0.57/0.49	fof(f839,plain,(
0.57/0.49	  host(sK7) != host(sK7) | host(sK10) = host(sK7) | spl12_13),
0.57/0.49	  inference(resolution,[],[f834,f553])).
0.57/0.49	fof(f553,plain,(
0.57/0.49	  ( ! [X0] : (~leq(nbr_proc,host(X0)) | host(X0) != host(sK7) | host(X0) = host(sK10)) )),
0.57/0.49	  inference(subsumption_resolution,[],[f548,f273])).
0.57/0.49	fof(f273,plain,(
0.57/0.49	  ( ! [X0] : (~leq(s(zero),host(X0))) )),
0.57/0.49	  inference(consistent_polarity_flipping,[],[f139])).
0.57/0.49	fof(f139,plain,(
0.57/0.49	  ( ! [X0] : (leq(s(zero),host(X0))) )),
0.57/0.49	  inference(cnf_transformation,[],[f70])).
0.57/0.49	fof(f70,plain,(
0.57/0.49	  ! [X0] : leq(s(zero),host(X0))),
0.57/0.49	  inference(rectify,[],[f3])).
0.57/0.49	fof(f3,axiom,(
0.57/0.49	  ! [X3] : leq(s(zero),host(X3))),
0.57/0.49	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.57/0.49	fof(f548,plain,(
0.57/0.49	  ( ! [X0] : (host(X0) != host(sK7) | ~leq(nbr_proc,host(X0)) | leq(s(zero),host(X0)) | host(X0) = host(sK10)) )),
0.57/0.49	  inference(resolution,[],[f547,f401])).
0.57/0.49	fof(f401,plain,(
0.57/0.49	  ( ! [X0] : (setIn(X0,index(down,nbr_proc)) | ~leq(nbr_proc,X0) | leq(s(zero),X0) | host(sK10) = X0) )),
0.57/0.49	  inference(superposition,[],[f304,f231])).
0.57/0.49	fof(f304,plain,(
0.57/0.49	  ( ! [X36] : (setIn(X36,index(down,host(sK11))) | ~leq(host(sK11),X36) | leq(s(zero),X36) | host(sK10) = X36) )),
0.57/0.49	  inference(consistent_polarity_flipping,[],[f227])).
0.57/0.49	fof(f227,plain,(
0.57/0.49	  ( ! [X36] : (~leq(s(zero),X36) | leq(host(sK11),X36) | setIn(X36,index(down,host(sK11))) | host(sK10) = X36) )),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f547,plain,(
0.57/0.49	  ( ! [X0] : (~setIn(host(X0),index(down,nbr_proc)) | host(X0) != host(sK7)) )),
0.57/0.49	  inference(forward_demodulation,[],[f546,f309])).
0.57/0.49	fof(f546,plain,(
0.57/0.49	  ( ! [X0] : (host(X0) != host(sK7) | ~setIn(host(X0),index(down,host(sK5)))) )),
0.57/0.49	  inference(subsumption_resolution,[],[f545,f241])).
0.57/0.49	fof(f545,plain,(
0.57/0.49	  ( ! [X0] : (host(X0) != host(sK7) | host(sK5) = host(sK7) | ~setIn(host(X0),index(down,host(sK5)))) )),
0.57/0.49	  inference(subsumption_resolution,[],[f544,f309])).
0.57/0.49	fof(f544,plain,(
0.57/0.49	  ( ! [X0] : (host(X0) != host(sK7) | nbr_proc != host(sK5) | host(sK5) = host(sK7) | ~setIn(host(X0),index(down,host(sK5)))) )),
0.57/0.49	  inference(resolution,[],[f542,f252])).
0.57/0.49	fof(f542,plain,(
0.57/0.49	  ( ! [X0,X1] : (~setIn(X1,alive) | host(X0) != host(sK7) | nbr_proc != host(X1) | host(X1) = host(sK7) | ~setIn(host(X0),index(down,host(X1)))) )),
0.57/0.49	  inference(forward_demodulation,[],[f541,f309])).
0.57/0.49	fof(f541,plain,(
0.57/0.49	  ( ! [X0,X1] : (host(X1) != host(sK5) | host(X0) != host(sK7) | ~setIn(X1,alive) | host(X1) = host(sK7) | ~setIn(host(X0),index(down,host(X1)))) )),
0.57/0.49	  inference(forward_demodulation,[],[f540,f306])).
0.57/0.49	fof(f540,plain,(
0.57/0.49	  ( ! [X0,X1] : (host(X0) != host(sK7) | ~setIn(X1,alive) | host(X1) = host(sK7) | ~setIn(host(X0),index(down,host(X1))) | host(X1) != host(sK9)) )),
0.57/0.49	  inference(resolution,[],[f500,f234])).
0.57/0.49	fof(f500,plain,(
0.57/0.49	  ( ! [X2,X0,X1] : (~elem(m_Down(X0),queue(host(sK7))) | host(X2) != host(sK7) | ~setIn(X1,alive) | host(X1) = host(sK7) | ~setIn(host(X2),index(down,host(X1))) | host(X1) != host(X0)) )),
0.57/0.49	  inference(resolution,[],[f244,f233])).
0.57/0.49	fof(f244,plain,(
0.57/0.49	  ( ! [X10,X11,X12,X13] : (~setIn(X10,alive) | host(X13) != host(X12) | host(X10) != host(X11) | ~setIn(X12,alive) | host(X10) = host(X12) | ~setIn(host(X11),index(down,host(X12))) | ~elem(m_Down(X13),queue(host(X10)))) )),
0.57/0.49	  inference(cnf_transformation,[],[f130])).
0.57/0.49	fof(f834,plain,(
0.57/0.49	  leq(nbr_proc,host(sK7)) | spl12_13),
0.57/0.49	  inference(subsumption_resolution,[],[f700,f285])).
0.57/0.49	fof(f700,plain,(
0.57/0.49	  leq(host(sK7),nbr_proc) | leq(nbr_proc,host(sK7)) | spl12_13),
0.57/0.49	  inference(extensionality_resolution,[],[f290,f557])).
0.57/0.49	fof(f557,plain,(
0.57/0.49	  nbr_proc != host(sK7) | spl12_13),
0.57/0.49	  inference(avatar_component_clause,[],[f555])).
0.57/0.49	% SZS output end Proof for theBenchmark
0.57/0.49	% (1863258)------------------------------
0.57/0.49	% (1863258)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.57/0.49	% (1863258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.57/0.49	% (1863258)Termination reason: Refutation
0.57/0.49	
0.57/0.49	% (1863258)Time elapsed: 0.022 s
0.57/0.49	% (1863258)Peak memory usage: 12 MB
0.57/0.49	% (1863258)Instructions burned: 43 (million)
0.57/0.49	% (1863258)------------------------------
0.57/0.49	% (1863258)------------------------------
0.57/0.49	% (1863251)Success in time 0.108 s
0.57/0.49	EOF