0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d THM
0.11/0.33	% Computer   : n016.cluster.edu
0.11/0.33	% Model      : x86_64 x86_64
0.11/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory     : 8042.1875MB
0.11/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1920
0.11/0.33	% WCLimit    : 240
0.11/0.33	% DateTime   : Wed Jul 30 02:03:04 EDT 2025
0.11/0.33	% CPUTime    : 
0.11/0.35	This is a FOF_ problem
0.11/0.35	Running first-order theorem proving
0.11/0.35	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30538)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=3567121734:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi)
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30540)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3615183329:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi)
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30541)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=210833216:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi)
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30539)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1556175045:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi)
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30535)lrs+1011_1_sp=occurrence:random_seed=3877664783:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi)
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30537)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=43551835:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi)
0.21/0.44	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (30536)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2317074060:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi)
0.21/0.45	% (30538)Refutation not found, incomplete strategy% (30538)------------------------------
0.21/0.45	% (30538)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.45	% (30538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.45	% (30538)Termination reason: Refutation not found, incomplete strategy
0.21/0.45	
0.21/0.45	% (30538)Time elapsed: 0.003 s
0.21/0.45	% (30538)Peak memory usage: 8 MB
0.21/0.45	% (30538)Instructions burned: 3 (million)
0.21/0.45	% (30537)Refutation not found, incomplete strategy% (30537)------------------------------
0.21/0.45	% (30537)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.45	% (30537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.45	% (30537)Termination reason: Refutation not found, incomplete strategy
0.21/0.45	
0.21/0.45	% (30537)Time elapsed: 0.003 s
0.21/0.45	% (30537)Peak memory usage: 8 MB
0.21/0.45	% (30537)Instructions burned: 4 (million)
0.21/0.45	% (30538)------------------------------
0.21/0.45	% (30538)------------------------------
0.21/0.45	% (30537)------------------------------
0.21/0.45	% (30537)------------------------------
0.21/0.45	% (30539)Refutation not found, incomplete strategy% (30539)------------------------------
0.21/0.45	% (30539)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.45	% (30539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.45	% (30539)Termination reason: Refutation not found, incomplete strategy
0.21/0.45	
0.21/0.45	% (30539)Time elapsed: 0.007 s
0.21/0.45	% (30539)Peak memory usage: 8 MB
0.21/0.45	% (30539)Instructions burned: 12 (million)
0.21/0.45	% (30539)------------------------------
0.21/0.45	% (30539)------------------------------
0.21/0.45	% (30541)First to succeed.
0.21/0.45	% (30541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30533"
0.21/0.45	% (30535)Also succeeded, but the first one will report.
0.21/0.46	% (30533)Running in auto input_syntax mode. Trying TPTP
0.21/0.46	% (30541)Refutation found. Thanks to Tanya!
0.21/0.46	% SZS status Theorem for theBenchmark
0.21/0.46	% SZS output start Proof for theBenchmark
0.21/0.46	fof(f682,plain,(
0.21/0.46	  $false),
0.21/0.46	  inference(avatar_sat_refutation,[],[f658,f661,f681])).
0.21/0.46	fof(f681,plain,(
0.21/0.46	  ~spl1_2),
0.21/0.46	  inference(avatar_contradiction_clause,[],[f662])).
0.21/0.46	fof(f662,plain,(
0.21/0.46	  $false | ~spl1_2),
0.21/0.46	  inference(resolution,[],[f657,f513])).
0.21/0.46	fof(f513,plain,(
0.21/0.46	  rdn_translate(n3,rdn_pos(rdnn(n3)))),
0.21/0.46	  inference(cnf_transformation,[],[f249])).
0.21/0.46	fof(f249,axiom,(
0.21/0.46	  rdn_translate(n3,rdn_pos(rdnn(n3)))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	fof(f657,plain,(
0.21/0.46	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(rdnn(X1)))) ) | ~spl1_2),
0.21/0.46	  inference(avatar_component_clause,[],[f656])).
0.21/0.46	fof(f656,definition,(
0.21/0.46	  spl1_2 <=> ! [X0,X1] : ~rdn_translate(X0,rdn_pos(rdnn(X1)))),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition])).
0.21/0.46	fof(f661,plain,(
0.21/0.46	  spl1_1),
0.21/0.46	  inference(avatar_contradiction_clause,[],[f660])).
0.21/0.46	fof(f660,plain,(
0.21/0.46	  $false | spl1_1),
0.21/0.46	  inference(subsumption_resolution,[],[f659,f632])).
0.21/0.46	fof(f632,plain,(
0.21/0.46	  rdn_non_zero_digit(rdnn(n1))),
0.21/0.46	  inference(cnf_transformation,[],[f275])).
0.21/0.46	fof(f275,axiom,(
0.21/0.46	  rdn_non_zero_digit(rdnn(n1))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	fof(f659,plain,(
0.21/0.46	  ~rdn_non_zero_digit(rdnn(n1)) | spl1_1),
0.21/0.46	  inference(resolution,[],[f654,f626])).
0.21/0.46	fof(f626,plain,(
0.21/0.46	  ( ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0))) )),
0.21/0.46	  inference(cnf_transformation,[],[f475])).
0.21/0.46	fof(f475,plain,(
0.21/0.46	  ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0)))),
0.21/0.46	  inference(ennf_transformation,[],[f429])).
0.21/0.46	fof(f429,plain,(
0.21/0.46	  ! [X0] : (rdn_non_zero_digit(rdnn(X0)) => rdn_non_zero(rdnn(X0)))),
0.21/0.46	  inference(rectify,[],[f262])).
0.21/0.46	fof(f262,axiom,(
0.21/0.46	  ! [X3] : (rdn_non_zero_digit(rdnn(X3)) => rdn_non_zero(rdnn(X3)))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	fof(f654,plain,(
0.21/0.46	  ~rdn_non_zero(rdnn(n1)) | spl1_1),
0.21/0.46	  inference(avatar_component_clause,[],[f653])).
0.21/0.46	fof(f653,definition,(
0.21/0.46	  spl1_1 <=> rdn_non_zero(rdnn(n1))),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])).
0.21/0.46	fof(f658,plain,(
0.21/0.46	  ~spl1_1 | spl1_2),
0.21/0.46	  inference(avatar_split_clause,[],[f650,f656,f653])).
0.21/0.46	fof(f650,plain,(
0.21/0.46	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(rdnn(X1))) | ~rdn_non_zero(rdnn(n1))) )),
0.21/0.46	  inference(resolution,[],[f649,f627])).
0.21/0.46	fof(f627,plain,(
0.21/0.46	  ( ! [X2,X0,X1] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | ~rdn_non_zero(X2)) )),
0.21/0.46	  inference(cnf_transformation,[],[f476])).
0.21/0.46	fof(f476,plain,(
0.21/0.46	  ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | ~rdn_non_zero(X2))),
0.21/0.46	  inference(ennf_transformation,[],[f257])).
0.21/0.46	fof(f257,axiom,(
0.21/0.46	  ! [X0,X1,X2] : (rdn_non_zero(X2) => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	fof(f649,plain,(
0.21/0.46	  ( ! [X0,X1] : (~rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1))) | ~rdn_translate(X0,rdn_pos(X1))) )),
0.21/0.46	  inference(resolution,[],[f646,f488])).
0.21/0.46	fof(f488,plain,(
0.21/0.46	  rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
0.21/0.46	  inference(cnf_transformation,[],[f244])).
0.21/0.46	fof(f244,axiom,(
0.21/0.46	  rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	fof(f646,plain,(
0.21/0.46	  ( ! [X2,X0,X1] : (~rdn_translate(n13,rdn_pos(X2)) | ~rdn_translate(X0,rdn_pos(X1)) | ~rdn_positive_less(X1,X2)) )),
0.21/0.46	  inference(resolution,[],[f487,f479])).
0.21/0.46	fof(f479,plain,(
0.21/0.46	  ( ! [X0] : (~less(X0,n13)) )),
0.21/0.46	  inference(cnf_transformation,[],[f431])).
0.21/0.46	fof(f431,plain,(
0.21/0.46	  ! [X0] : ~less(X0,n13)),
0.21/0.46	  inference(ennf_transformation,[],[f404])).
0.21/0.46	fof(f404,plain,(
0.21/0.46	  ~? [X0] : less(X0,n13)),
0.21/0.46	  inference(rectify,[],[f403])).
0.21/0.46	fof(f403,negated_conjecture,(
0.21/0.46	  ~? [X3] : less(X3,n13)),
0.21/0.46	  inference(negated_conjecture,[status(cth)],[f402])).
0.21/0.46	fof(f402,conjecture,(
0.21/0.46	  ? [X3] : less(X3,n13)),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	fof(f487,plain,(
0.21/0.46	  ( ! [X2,X3,X0,X1] : (less(X0,X1) | ~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3)) )),
0.21/0.46	  inference(cnf_transformation,[],[f441])).
0.21/0.46	fof(f441,plain,(
0.21/0.46	  ! [X0,X1,X2,X3] : (less(X0,X1) | ~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3))),
0.21/0.46	  inference(flattening,[],[f440])).
0.21/0.46	fof(f440,plain,(
0.21/0.46	  ! [X0,X1,X2,X3] : (less(X0,X1) | (~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3)))),
0.21/0.46	  inference(ennf_transformation,[],[f410])).
0.21/0.46	fof(f410,plain,(
0.21/0.46	  ! [X0,X1,X2,X3] : ((rdn_translate(X0,rdn_pos(X2)) & rdn_translate(X1,rdn_pos(X3)) & rdn_positive_less(X2,X3)) => less(X0,X1))),
0.21/0.46	  inference(rectify,[],[f258])).
0.21/0.46	fof(f258,axiom,(
0.21/0.46	  ! [X3,X4,X5,X6] : ((rdn_translate(X3,rdn_pos(X5)) & rdn_translate(X4,rdn_pos(X6)) & rdn_positive_less(X5,X6)) => less(X3,X4))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	% SZS output end Proof for theBenchmark
0.21/0.46	% (30541)------------------------------
0.21/0.46	% (30541)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (30541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (30541)Termination reason: Refutation
0.21/0.46	
0.21/0.46	% (30541)Time elapsed: 0.009 s
0.21/0.46	% (30541)Peak memory usage: 10 MB
0.21/0.46	% (30541)Instructions burned: 16 (million)
0.21/0.46	% (30541)------------------------------
0.21/0.46	% (30541)------------------------------
0.21/0.46	% (30533)Success in time 0.1 s
0.21/0.46	EOF