0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer   : n010.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 01:59:19 EDT 2025
0.12/0.33	% CPUTime    : 
0.12/0.35	This is a FOF_ problem
0.12/0.36	Running first-order theorem proving
0.12/0.36	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox/benchmark/theBenchmark.p
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30040)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=3211183113:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi)
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30045)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=954550797:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi)
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30041)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=2616382895:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi)
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30044)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3540245971:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi)
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30043)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=4165953310:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi)
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30039)lrs+1011_1_sp=occurrence:random_seed=62151210:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi)
0.22/0.44	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (30042)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=3553780630:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi)
0.22/0.45	% (30041)First to succeed.
0.22/0.45	% (30041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30037"
0.22/0.45	% (30037)Running in auto input_syntax mode. Trying TPTP
0.22/0.45	% (30041)Refutation found. Thanks to Tanya!
0.22/0.45	% SZS status Theorem for theBenchmark
0.22/0.45	% SZS output start Proof for theBenchmark
0.22/0.45	fof(f335,plain,(
0.22/0.45	  $false),
0.22/0.45	  inference(avatar_sat_refutation,[],[f200,f214,f334])).
0.22/0.45	fof(f334,plain,(
0.22/0.45	  ~spl4_1),
0.22/0.45	  inference(avatar_contradiction_clause,[],[f333])).
0.22/0.45	fof(f333,plain,(
0.22/0.45	  $false | ~spl4_1),
0.22/0.45	  inference(subsumption_resolution,[],[f332,f321])).
0.22/0.45	fof(f321,plain,(
0.22/0.45	  ( ! [X0] : (greater(vplus(X0,vd329),vplus(vd328,X0))) ) | ~spl4_1),
0.22/0.45	  inference(superposition,[],[f253,f104])).
0.22/0.45	fof(f104,plain,(
0.22/0.45	  ( ! [X0,X1] : (vplus(X0,X1) = vplus(X1,X0)) )),
0.22/0.45	  inference(cnf_transformation,[],[f37])).
0.22/0.45	fof(f37,plain,(
0.22/0.45	  ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0)),
0.22/0.45	  inference(rectify,[],[f2])).
0.22/0.45	fof(f2,axiom,(
0.22/0.45	  ! [X1,X2] : vplus(X1,X2) = vplus(X2,X1)),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f253,plain,(
0.22/0.45	  ( ! [X0] : (greater(vplus(vd329,X0),vplus(vd328,X0))) ) | ~spl4_1),
0.22/0.45	  inference(unit_resulting_resolution,[],[f234,f107])).
0.22/0.45	fof(f107,plain,(
0.22/0.45	  ( ! [X2,X0,X1] : (greater(vplus(X0,X2),vplus(X1,X2)) | ~greater(X0,X1)) )),
0.22/0.45	  inference(cnf_transformation,[],[f70])).
0.22/0.45	fof(f70,plain,(
0.22/0.45	  ! [X0,X1,X2] : (greater(vplus(X0,X2),vplus(X1,X2)) | ~greater(X0,X1))),
0.22/0.45	  inference(ennf_transformation,[],[f39])).
0.22/0.45	fof(f39,plain,(
0.22/0.45	  ! [X0,X1,X2] : (greater(X0,X1) => greater(vplus(X0,X2),vplus(X1,X2)))),
0.22/0.45	  inference(rectify,[],[f4])).
0.22/0.45	fof(f4,axiom,(
0.22/0.45	  ! [X5,X6,X7] : (greater(X5,X6) => greater(vplus(X5,X7),vplus(X6,X7)))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f234,plain,(
0.22/0.45	  greater(vd329,vd328) | ~spl4_1),
0.22/0.45	  inference(resolution,[],[f195,f115])).
0.22/0.45	fof(f115,plain,(
0.22/0.45	  ( ! [X0,X1] : (~less(X0,X1) | greater(X1,X0)) )),
0.22/0.45	  inference(cnf_transformation,[],[f73])).
0.22/0.45	fof(f73,plain,(
0.22/0.45	  ! [X0,X1] : (greater(X1,X0) | ~less(X0,X1))),
0.22/0.45	  inference(ennf_transformation,[],[f46])).
0.22/0.45	fof(f46,plain,(
0.22/0.45	  ! [X0,X1] : (less(X0,X1) => greater(X1,X0))),
0.22/0.45	  inference(rectify,[],[f11])).
0.22/0.45	fof(f11,axiom,(
0.22/0.45	  ! [X16,X17] : (less(X16,X17) => greater(X17,X16))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f195,plain,(
0.22/0.45	  less(vd328,vd329) | ~spl4_1),
0.22/0.45	  inference(avatar_component_clause,[],[f193])).
0.22/0.45	fof(f193,definition,(
0.22/0.45	  spl4_1 <=> less(vd328,vd329)),
0.22/0.45	  introduced(definition,[new_symbols(naming,[spl4_1])],[avatar_definition])).
0.22/0.45	fof(f332,plain,(
0.22/0.45	  ~greater(vplus(vd330,vd329),vplus(vd328,vd330))),
0.22/0.45	  inference(unit_resulting_resolution,[],[f179,f142])).
0.22/0.45	fof(f142,plain,(
0.22/0.45	  ( ! [X0,X1] : (~greater(X0,X1) | less(X1,X0)) )),
0.22/0.45	  inference(cnf_transformation,[],[f86])).
0.22/0.45	fof(f86,plain,(
0.22/0.45	  ! [X0,X1] : (less(X1,X0) | ~greater(X0,X1))),
0.22/0.45	  inference(ennf_transformation,[],[f66])).
0.22/0.45	fof(f66,plain,(
0.22/0.45	  ! [X0,X1] : (greater(X0,X1) => less(X1,X0))),
0.22/0.45	  inference(rectify,[],[f33])).
0.22/0.45	fof(f33,axiom,(
0.22/0.45	  ! [X53,X54] : (greater(X53,X54) => less(X54,X53))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f179,plain,(
0.22/0.45	  ~less(vplus(vd328,vd330),vplus(vd330,vd329))),
0.22/0.45	  inference(unit_resulting_resolution,[],[f163,f114])).
0.22/0.45	fof(f114,plain,(
0.22/0.45	  ( ! [X0,X1] : (~less(X0,X1) | ~greater(X0,X1)) )),
0.22/0.45	  inference(cnf_transformation,[],[f45])).
0.22/0.45	fof(f45,plain,(
0.22/0.45	  ! [X0,X1] : (~less(X0,X1) | ~greater(X0,X1))),
0.22/0.45	  inference(rectify,[],[f10])).
0.22/0.45	fof(f10,axiom,(
0.22/0.45	  ! [X8,X9] : (~less(X8,X9) | ~greater(X8,X9))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f163,plain,(
0.22/0.45	  greater(vplus(vd328,vd330),vplus(vd330,vd329))),
0.22/0.45	  inference(backward_demodulation,[],[f117,f104])).
0.22/0.45	fof(f117,plain,(
0.22/0.45	  greater(vplus(vd328,vd330),vplus(vd329,vd330))),
0.22/0.45	  inference(cnf_transformation,[],[f13])).
0.22/0.45	fof(f13,axiom,(
0.22/0.45	  greater(vplus(vd328,vd330),vplus(vd329,vd330))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f214,plain,(
0.22/0.45	  ~spl4_2),
0.22/0.45	  inference(avatar_contradiction_clause,[],[f213])).
0.22/0.45	fof(f213,plain,(
0.22/0.45	  $false | ~spl4_2),
0.22/0.45	  inference(subsumption_resolution,[],[f209,f153])).
0.22/0.45	fof(f153,plain,(
0.22/0.45	  ( ! [X1] : (~less(X1,X1)) )),
0.22/0.45	  inference(equality_resolution,[],[f109])).
0.22/0.45	fof(f109,plain,(
0.22/0.45	  ( ! [X0,X1] : (~less(X0,X1) | X0 != X1) )),
0.22/0.45	  inference(cnf_transformation,[],[f41])).
0.22/0.45	fof(f41,plain,(
0.22/0.45	  ! [X0,X1] : (~less(X0,X1) | X0 != X1)),
0.22/0.45	  inference(rectify,[],[f6])).
0.22/0.45	fof(f6,axiom,(
0.22/0.45	  ! [X8,X9] : (~less(X8,X9) | X8 != X9)),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f209,plain,(
0.22/0.45	  less(vplus(vd328,vd330),vplus(vd328,vd330)) | ~spl4_2),
0.22/0.45	  inference(forward_demodulation,[],[f202,f104])).
0.22/0.45	fof(f202,plain,(
0.22/0.45	  less(vplus(vd330,vd328),vplus(vd328,vd330)) | ~spl4_2),
0.22/0.45	  inference(backward_demodulation,[],[f180,f199])).
0.22/0.45	fof(f199,plain,(
0.22/0.45	  vd328 = vd329 | ~spl4_2),
0.22/0.45	  inference(avatar_component_clause,[],[f197])).
0.22/0.45	fof(f197,definition,(
0.22/0.45	  spl4_2 <=> vd328 = vd329),
0.22/0.45	  introduced(definition,[new_symbols(naming,[spl4_2])],[avatar_definition])).
0.22/0.45	fof(f180,plain,(
0.22/0.45	  less(vplus(vd330,vd329),vplus(vd328,vd330))),
0.22/0.45	  inference(resolution,[],[f163,f142])).
0.22/0.45	fof(f200,plain,(
0.22/0.45	  spl4_1 | spl4_2),
0.22/0.45	  inference(avatar_split_clause,[],[f188,f197,f193])).
0.22/0.45	fof(f188,plain,(
0.22/0.45	  vd328 = vd329 | less(vd328,vd329)),
0.22/0.45	  inference(resolution,[],[f141,f138])).
0.22/0.45	fof(f138,plain,(
0.22/0.45	  ~greater(vd328,vd329)),
0.22/0.45	  inference(cnf_transformation,[],[f62])).
0.22/0.45	fof(f62,plain,(
0.22/0.45	  ~greater(vd328,vd329)),
0.22/0.45	  inference(flattening,[],[f29])).
0.22/0.45	fof(f29,negated_conjecture,(
0.22/0.45	  ~greater(vd328,vd329)),
0.22/0.45	  inference(negated_conjecture,[status(cth)],[f28])).
0.22/0.45	fof(f28,conjecture,(
0.22/0.45	  greater(vd328,vd329)),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f141,plain,(
0.22/0.45	  ( ! [X0,X1] : (greater(X0,X1) | X0 = X1 | less(X0,X1)) )),
0.22/0.45	  inference(cnf_transformation,[],[f65])).
0.22/0.45	fof(f65,plain,(
0.22/0.45	  ! [X0,X1] : (X0 = X1 | greater(X0,X1) | less(X0,X1))),
0.22/0.45	  inference(rectify,[],[f32])).
0.22/0.45	fof(f32,axiom,(
0.22/0.45	  ! [X8,X9] : (X8 = X9 | greater(X8,X9) | less(X8,X9))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	% SZS output end Proof for theBenchmark
0.22/0.45	% (30041)------------------------------
0.22/0.45	% (30041)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.22/0.45	% (30041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.22/0.45	% (30041)Termination reason: Refutation
0.22/0.45	
0.22/0.45	% (30041)Time elapsed: 0.008 s
0.22/0.45	% (30041)Peak memory usage: 8 MB
0.22/0.45	% (30041)Instructions burned: 10 (million)
0.22/0.45	% (30041)------------------------------
0.22/0.45	% (30041)------------------------------
0.22/0.45	% (30037)Success in time 0.088 s
0.22/0.45	EOF