0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d THM
0.12/0.34	% Computer : n008.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1920
0.12/0.34	% WCLimit    : 240
0.12/0.34	% DateTime   : Wed Jul 30 02:03:04 EDT 2025
0.12/0.34	% CPUTime    : 
0.12/0.36	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
0.22/0.43	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.43	% (18433)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2399ds/179501Mi)
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18436)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2399ds/132Mi)
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18435)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2399ds/109Mi)
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18431)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2399ds/53554Mi)
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18437)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2399ds/124Mi)
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18434)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2399ds/216875Mi)
0.22/0.44	% (18433)First to succeed.
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18432)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2399ds/66616Mi)
0.22/0.44	% (18435)Refutation not found, incomplete strategy% (18435)------------------------------
0.22/0.44	% (18435)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.44	% (18435)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.44	% (18435)Termination reason: Refutation not found, incomplete strategy
0.22/0.44	
0.22/0.44	% (18435)Memory used [KB]: 1319
0.22/0.44	% (18435)Time elapsed: 0.004 s
0.22/0.44	% (18435)Instructions burned: 3 (million)
0.22/0.44	% (18435)------------------------------
0.22/0.44	% (18435)------------------------------
0.22/0.44	% (18433)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18430"
0.22/0.44	% (18430)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (18433)Refutation found. Thanks to Tanya!
0.22/0.44	% SZS status Theorem for theBenchmark
0.22/0.44	% SZS output start Proof for theBenchmark
0.22/0.44	fof(f1749,plain,(
0.22/0.44	  $false),
0.22/0.44	  inference(avatar_sat_refutation,[],[f775,f787,f812,f862,f886,f1495,f1500,f1575,f1717,f1724,f1741])).
0.22/0.44	fof(f1741,plain,(
0.22/0.44	  ~spl0_20 | ~spl0_193),
0.22/0.44	  inference(avatar_contradiction_clause,[],[f1736])).
0.22/0.44	fof(f1736,plain,(
0.22/0.44	  $false | (~spl0_20 | ~spl0_193)),
0.22/0.44	  inference(resolution,[],[f1723,f861])).
0.22/0.44	fof(f861,plain,(
0.22/0.44	  rdn_translate(n9,rdn_pos(rdnn(n9))) | ~spl0_20),
0.22/0.44	  inference(avatar_component_clause,[],[f859])).
0.22/0.44	fof(f859,plain,(
0.22/0.44	  spl0_20 <=> rdn_translate(n9,rdn_pos(rdnn(n9)))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
0.22/0.44	fof(f1723,plain,(
0.22/0.44	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(rdnn(X1)))) ) | ~spl0_193),
0.22/0.44	  inference(avatar_component_clause,[],[f1722])).
0.22/0.44	fof(f1722,plain,(
0.22/0.44	  spl0_193 <=> ! [X0,X1] : ~rdn_translate(X0,rdn_pos(rdnn(X1)))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_193])])).
0.22/0.44	fof(f1724,plain,(
0.22/0.44	  spl0_193 | ~spl0_26 | spl0_165 | ~spl0_192),
0.22/0.44	  inference(avatar_split_clause,[],[f1720,f1715,f1572,f884,f1722])).
0.22/0.44	fof(f884,plain,(
0.22/0.44	  spl0_26 <=> ! [X2,X0,X1] : (~rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | rdn_non_zero(X2))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
0.22/0.44	fof(f1572,plain,(
0.22/0.44	  spl0_165 <=> rdn_non_zero(rdnn(n1))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_165])])).
0.22/0.44	fof(f1715,plain,(
0.22/0.44	  spl0_192 <=> ! [X0,X1] : (~rdn_translate(X0,rdn_pos(X1)) | rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1))))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_192])])).
0.22/0.44	fof(f1720,plain,(
0.22/0.44	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(rdnn(X1)))) ) | (~spl0_26 | spl0_165 | ~spl0_192)),
0.22/0.44	  inference(subsumption_resolution,[],[f1718,f1574])).
0.22/0.44	fof(f1574,plain,(
0.22/0.44	  ~rdn_non_zero(rdnn(n1)) | spl0_165),
0.22/0.44	  inference(avatar_component_clause,[],[f1572])).
0.22/0.44	fof(f1718,plain,(
0.22/0.44	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(rdnn(X1))) | rdn_non_zero(rdnn(n1))) ) | (~spl0_26 | ~spl0_192)),
0.22/0.44	  inference(resolution,[],[f1716,f885])).
0.22/0.44	fof(f885,plain,(
0.22/0.44	  ( ! [X2,X0,X1] : (~rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | rdn_non_zero(X2)) ) | ~spl0_26),
0.22/0.44	  inference(avatar_component_clause,[],[f884])).
0.22/0.44	fof(f1716,plain,(
0.22/0.44	  ( ! [X0,X1] : (rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1))) | ~rdn_translate(X0,rdn_pos(X1))) ) | ~spl0_192),
0.22/0.44	  inference(avatar_component_clause,[],[f1715])).
0.22/0.44	fof(f1717,plain,(
0.22/0.44	  spl0_192 | ~spl0_1 | ~spl0_4 | ~spl0_10),
0.22/0.44	  inference(avatar_split_clause,[],[f1713,f809,f785,f773,f1715])).
0.22/0.44	fof(f773,plain,(
0.22/0.44	  spl0_1 <=> ! [X0] : less(X0,n13)),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.22/0.44	fof(f785,plain,(
0.22/0.44	  spl0_4 <=> ! [X0,X3,X2,X1] : (~less(X0,X1) | ~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | rdn_positive_less(X2,X3))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.22/0.44	fof(f809,plain,(
0.22/0.44	  spl0_10 <=> rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
0.22/0.44	fof(f1713,plain,(
0.22/0.44	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(X1)) | rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1)))) ) | (~spl0_1 | ~spl0_4 | ~spl0_10)),
0.22/0.44	  inference(subsumption_resolution,[],[f1672,f774])).
0.22/0.44	fof(f774,plain,(
0.22/0.44	  ( ! [X0] : (less(X0,n13)) ) | ~spl0_1),
0.22/0.44	  inference(avatar_component_clause,[],[f773])).
0.22/0.44	fof(f1672,plain,(
0.22/0.44	  ( ! [X0,X1] : (~rdn_translate(X0,rdn_pos(X1)) | ~less(X0,n13) | rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1)))) ) | (~spl0_4 | ~spl0_10)),
0.22/0.44	  inference(resolution,[],[f786,f811])).
0.22/0.44	fof(f811,plain,(
0.22/0.44	  rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) | ~spl0_10),
0.22/0.44	  inference(avatar_component_clause,[],[f809])).
0.22/0.44	fof(f786,plain,(
0.22/0.44	  ( ! [X2,X3,X0,X1] : (~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_pos(X2)) | ~less(X0,X1) | rdn_positive_less(X2,X3)) ) | ~spl0_4),
0.22/0.44	  inference(avatar_component_clause,[],[f785])).
0.22/0.44	fof(f1575,plain,(
0.22/0.44	  ~spl0_165 | ~spl0_151 | ~spl0_152),
0.22/0.44	  inference(avatar_split_clause,[],[f1546,f1497,f1493,f1572])).
0.22/0.44	fof(f1493,plain,(
0.22/0.44	  spl0_151 <=> ! [X0] : (~rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0)))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_151])])).
0.22/0.44	fof(f1497,plain,(
0.22/0.44	  spl0_152 <=> rdn_non_zero_digit(rdnn(n1))),
0.22/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl0_152])])).
0.22/0.44	fof(f1546,plain,(
0.22/0.44	  ~rdn_non_zero(rdnn(n1)) | (~spl0_151 | ~spl0_152)),
0.22/0.44	  inference(resolution,[],[f1494,f1499])).
0.22/0.44	fof(f1499,plain,(
0.22/0.44	  rdn_non_zero_digit(rdnn(n1)) | ~spl0_152),
0.22/0.44	  inference(avatar_component_clause,[],[f1497])).
0.22/0.44	fof(f1494,plain,(
0.22/0.44	  ( ! [X0] : (~rdn_non_zero_digit(rdnn(X0)) | ~rdn_non_zero(rdnn(X0))) ) | ~spl0_151),
0.22/0.44	  inference(avatar_component_clause,[],[f1493])).
0.22/0.44	fof(f1500,plain,(
0.22/0.44	  spl0_152),
0.22/0.44	  inference(avatar_split_clause,[],[f632,f1497])).
0.22/0.44	fof(f632,plain,(
0.22/0.44	  rdn_non_zero_digit(rdnn(n1))),
0.22/0.44	  inference(cnf_transformation,[],[f275])).
0.22/0.44	fof(f275,axiom,(
0.22/0.44	  rdn_non_zero_digit(rdnn(n1))),
0.22/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.44	fof(f1495,plain,(
0.22/0.44	  spl0_151),
0.22/0.44	  inference(avatar_split_clause,[],[f771,f1493])).
0.22/0.45	fof(f771,plain,(
0.22/0.45	  ( ! [X0] : (~rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0))) )),
0.22/0.45	  inference(consistent_polarity_flipping,[],[f631])).
0.22/0.45	fof(f631,plain,(
0.22/0.45	  ( ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0))) )),
0.22/0.45	  inference(cnf_transformation,[],[f477])).
0.22/0.45	fof(f477,plain,(
0.22/0.45	  ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0)))),
0.22/0.45	  inference(ennf_transformation,[],[f430])).
0.22/0.45	fof(f430,plain,(
0.22/0.45	  ! [X0] : (rdn_non_zero_digit(rdnn(X0)) => rdn_non_zero(rdnn(X0)))),
0.22/0.45	  inference(rectify,[],[f262])).
0.22/0.45	fof(f262,axiom,(
0.22/0.45	  ! [X3] : (rdn_non_zero_digit(rdnn(X3)) => rdn_non_zero(rdnn(X3)))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f886,plain,(
0.22/0.45	  spl0_26),
0.22/0.45	  inference(avatar_split_clause,[],[f656,f884])).
0.22/0.45	fof(f656,plain,(
0.22/0.45	  ( ! [X2,X0,X1] : (~rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | rdn_non_zero(X2)) )),
0.22/0.45	  inference(consistent_polarity_flipping,[],[f506])).
0.22/0.45	fof(f506,plain,(
0.22/0.45	  ( ! [X2,X0,X1] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | ~rdn_non_zero(X2)) )),
0.22/0.45	  inference(cnf_transformation,[],[f452])).
0.22/0.45	fof(f452,plain,(
0.22/0.45	  ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | ~rdn_non_zero(X2))),
0.22/0.45	  inference(ennf_transformation,[],[f257])).
0.22/0.45	fof(f257,axiom,(
0.22/0.45	  ! [X0,X1,X2] : (rdn_non_zero(X2) => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f862,plain,(
0.22/0.45	  spl0_20),
0.22/0.45	  inference(avatar_split_clause,[],[f500,f859])).
0.22/0.45	fof(f500,plain,(
0.22/0.45	  rdn_translate(n9,rdn_pos(rdnn(n9)))),
0.22/0.45	  inference(cnf_transformation,[],[f154])).
0.22/0.45	fof(f154,axiom,(
0.22/0.45	  rdn_translate(n9,rdn_pos(rdnn(n9)))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f812,plain,(
0.22/0.45	  spl0_10),
0.22/0.45	  inference(avatar_split_clause,[],[f490,f809])).
0.22/0.45	fof(f490,plain,(
0.22/0.45	  rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
0.22/0.45	  inference(cnf_transformation,[],[f244])).
0.22/0.45	fof(f244,axiom,(
0.22/0.45	  rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f787,plain,(
0.22/0.45	  spl0_4),
0.22/0.45	  inference(avatar_split_clause,[],[f645,f785])).
0.22/0.45	fof(f645,plain,(
0.22/0.45	  ( ! [X2,X3,X0,X1] : (~less(X0,X1) | ~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | rdn_positive_less(X2,X3)) )),
0.22/0.45	  inference(consistent_polarity_flipping,[],[f484])).
0.22/0.45	fof(f484,plain,(
0.22/0.45	  ( ! [X2,X3,X0,X1] : (less(X0,X1) | ~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3)) )),
0.22/0.45	  inference(cnf_transformation,[],[f438])).
0.22/0.45	fof(f438,plain,(
0.22/0.45	  ! [X0,X1,X2,X3] : (less(X0,X1) | ~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3))),
0.22/0.45	  inference(flattening,[],[f437])).
0.22/0.45	fof(f437,plain,(
0.22/0.45	  ! [X0,X1,X2,X3] : (less(X0,X1) | (~rdn_translate(X0,rdn_pos(X2)) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3)))),
0.22/0.45	  inference(ennf_transformation,[],[f407])).
0.22/0.45	fof(f407,plain,(
0.22/0.45	  ! [X0,X1,X2,X3] : ((rdn_translate(X0,rdn_pos(X2)) & rdn_translate(X1,rdn_pos(X3)) & rdn_positive_less(X2,X3)) => less(X0,X1))),
0.22/0.45	  inference(rectify,[],[f258])).
0.22/0.45	fof(f258,axiom,(
0.22/0.45	  ! [X3,X4,X5,X6] : ((rdn_translate(X3,rdn_pos(X5)) & rdn_translate(X4,rdn_pos(X6)) & rdn_positive_less(X5,X6)) => less(X3,X4))),
0.22/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.45	fof(f775,plain,(
0.22/0.45	  spl0_1),
0.22/0.45	  inference(avatar_split_clause,[],[f642,f773])).
0.22/0.45	fof(f642,plain,(
0.22/0.45	  ( ! [X0] : (less(X0,n13)) )),
0.22/0.45	  inference(consistent_polarity_flipping,[],[f481])).
0.22/0.45	fof(f481,plain,(
0.22/0.45	  ( ! [X0] : (~less(X0,n13)) )),
0.22/0.45	  inference(cnf_transformation,[],[f432])).
0.22/0.45	fof(f432,plain,(
0.22/0.45	  ! [X0] : ~less(X0,n13)),
0.22/0.45	  inference(ennf_transformation,[],[f404])).
0.22/0.45	fof(f404,plain,(
0.22/0.45	  ~? [X0] : less(X0,n13)),
0.22/0.45	  inference(rectify,[],[f403])).
0.22/0.45	fof(f403,negated_conjecture,(
0.22/0.45	  ~? [X3] : less(X3,n13)),
0.22/0.45	  inference(negated_conjecture,[],[f402])).
0.22/0.45	fof(f402,conjecture,(
0.22/0.45	  ? [X3] : less(X3,n13)),
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	% (18433)------------------------------
0.22/0.45	% (18433)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.45	% (18433)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.45	% (18433)Termination reason: Refutation
0.22/0.45	
0.22/0.45	% (18433)Memory used [KB]: 1936
0.22/0.45	% (18433)Time elapsed: 0.017 s
0.22/0.45	% (18433)Instructions burned: 32 (million)
0.22/0.45	% (18433)------------------------------
0.22/0.45	% (18433)------------------------------
0.22/0.45	% (18430)Success in time 0.055 s
0.22/0.45	EOF