0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.13/0.42	% Computer : n016.cluster.edu
0.13/0.42	% Model    : x86_64 x86_64
0.13/0.42	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.42	% Memory   : 8046.5625MB
0.13/0.42	% OS       : Linux 6.8.0-71-generic
0.13/0.42	% CPULimit : 1440
0.13/0.42	% WCLimit  : 180
0.13/0.42	% DateTime : Mon Jul 27 09:30:22 UTC 2026
0.13/0.42	% CPUTime  : 
0.13/0.42	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.20/0.46	Running first-order theorem proving
0.20/0.46	Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
2.75/1.12	% (1103302)Detected formulas, will run a generic FOF schedule.
2.75/1.12	% (1103383)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1964683487:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
2.75/1.12	% (1103382)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=419578667:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
2.75/1.12	% (1103384)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=909382222:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
2.75/1.12	% (1103380)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=144775592:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
2.75/1.12	% (1103379)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=4287580802:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
2.75/1.12	% (1103385)dis-21_1_sil=8000:lcm=predicate:random_seed=2476569132:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi)
2.75/1.12	% (1103381)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=4222407033:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
2.75/1.12	% (1103382)Refutation not found, incomplete strategy
2.75/1.12	% (1103382)------------------------------
2.75/1.12	% (1103382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
2.75/1.12	% (1103382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.75/1.12	% (1103382)CaDiCaL version: 2.1.3
2.75/1.12	% (1103382)Termination reason: Refutation not found, incomplete strategy
2.75/1.12	% (1103382)Time elapsed: 0.002 s
2.75/1.12	% (1103382)Peak memory usage: 88 MB
2.75/1.12	% (1103382)Instructions burned: 2 (million)
2.75/1.12	% (1103384)First to succeed.
2.75/1.12	% (1103384)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1103302"
2.75/1.12	% (1103383)Also succeeded, but the first one will report.
2.75/1.12	% (1103385)Also succeeded, but the first one will report.
2.75/1.12	% (1103384)Refutation found. Thanks to Tanya!
2.75/1.12	% SZS status Theorem for theBenchmark
2.75/1.12	% SZS output start Proof for theBenchmark
2.75/1.12	fof(f2,axiom,(
2.75/1.12	  ! [X0,X1,X2] : ((less(X1,X2) & less(X0,X1)) => less(X0,X2))),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive)).
2.75/1.12	fof(f4,axiom,(
2.75/1.12	  ! [X0,X1] : (leq(X0,X1) <=> (less(X0,X1) | X0 = X1))),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_def)).
2.75/1.12	fof(f8,axiom,(
2.75/1.12	  ! [X0] : ~less(X0,X0)),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive)).
2.75/1.12	fof(f14,axiom,(
2.75/1.12	  ! [X0,X1,X2] : (in_lopen(X0,X1,X2) <=> (leq(X0,X2) & less(X1,X0)))),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_lopen)).
2.75/1.12	fof(f30,axiom,(
2.75/1.12	  less(v0,v600)),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600)).
2.75/1.12	fof(f34,axiom,(
2.75/1.12	  less(v16,v32)),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v32)).
2.75/1.12	fof(f36,axiom,(
2.75/1.12	  less(v0,v400)),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v400)).
2.75/1.12	fof(f40,conjecture,(
2.75/1.12	  ? [X0,X1,X2] : (~(in_lopen(X2,v0,v16) & in_lopen(X1,v0,v800) & in_lopen(X0,v0,v1200)) & in_lopen(X2,v0,v32) & in_lopen(X1,v0,v400) & in_lopen(X0,v0,v600))),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl350)).
2.75/1.12	fof(f41,negated_conjecture,(
2.75/1.12	  ~? [X0,X1,X2] : (~(in_lopen(X2,v0,v16) & in_lopen(X1,v0,v800) & in_lopen(X0,v0,v1200)) & in_lopen(X2,v0,v32) & in_lopen(X1,v0,v400) & in_lopen(X0,v0,v600))),
2.75/1.12	  inference(negated_conjecture,[status(cth)],[f40])).
2.75/1.12	fof(f42,axiom,(
2.75/1.12	  less(v0,v32)),
2.75/1.12	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v32)).
2.75/1.12	fof(f59,plain,(
2.75/1.12	  v1200 != v800 & v600 != v1200 & v600 != v800 & v400 != v1200 & v400 != v800 & v400 != v600 & v1200 != v32 & v800 != v32 & v600 != v32 & v400 != v32 & v16 != v1200 & v16 != v800 & v600 != v16 & v400 != v16 & v16 != v32 & v0 != v1200 & v0 != v800 & v600 != v0 & v400 != v0 & v0 != v32 & v0 != v16),
2.75/1.12	  introduced(definition,[],[distinctness_axiom])).
2.75/1.12	fof(f69,plain,(
2.75/1.12	  ! [X0,X1,X2] : (less(X0,X2) | (~less(X1,X2) | ~less(X0,X1)))),
2.75/1.12	  inference(ennf_transformation,[],[f2])).
2.75/1.12	fof(f70,plain,(
2.75/1.12	  ! [X0,X1,X2] : (less(X0,X2) | ~less(X1,X2) | ~less(X0,X1))),
2.75/1.12	  inference(flattening,[],[f69])).
2.75/1.12	fof(f88,plain,(
2.75/1.12	  ! [X0,X1,X2] : ((in_lopen(X2,v0,v16) & in_lopen(X1,v0,v800) & in_lopen(X0,v0,v1200)) | ~in_lopen(X2,v0,v32) | ~in_lopen(X1,v0,v400) | ~in_lopen(X0,v0,v600))),
2.75/1.12	  inference(ennf_transformation,[],[f41])).
2.75/1.12	fof(f89,plain,(
2.75/1.12	  ! [X0,X1] : ((leq(X0,X1) | (~less(X0,X1) & X0 != X1)) & ((less(X0,X1) | X0 = X1) | ~leq(X0,X1)))),
2.75/1.12	  inference(nnf_transformation,[],[f4])).
2.75/1.12	fof(f90,plain,(
2.75/1.12	  ! [X0,X1] : ((leq(X0,X1) | (~less(X0,X1) & X0 != X1)) & (less(X0,X1) | X0 = X1 | ~leq(X0,X1)))),
2.75/1.12	  inference(flattening,[],[f89])).
2.75/1.12	fof(f91,plain,(
2.75/1.12	  ! [X0,X1,X2] : ((in_lopen(X0,X1,X2) | (~leq(X0,X2) | ~less(X1,X0))) & ((leq(X0,X2) & less(X1,X0)) | ~in_lopen(X0,X1,X2)))),
2.75/1.12	  inference(nnf_transformation,[],[f14])).
2.75/1.12	fof(f92,plain,(
2.75/1.12	  ! [X0,X1,X2] : ((in_lopen(X0,X1,X2) | ~leq(X0,X2) | ~less(X1,X0)) & ((leq(X0,X2) & less(X1,X0)) | ~in_lopen(X0,X1,X2)))),
2.75/1.12	  inference(flattening,[],[f91])).
2.75/1.12	fof(f99,plain,(
2.75/1.12	  v16 != v32),
2.75/1.12	  inference(cnf_transformation,[],[f59])).
2.75/1.12	fof(f115,plain,(
2.75/1.12	  ( ! [X2,X0,X1] : (less(X0,X2) | ~less(X1,X2) | ~less(X0,X1)) )),
2.75/1.12	  inference(cnf_transformation,[],[f70])).
2.75/1.12	fof(f117,plain,(
2.75/1.12	  ( ! [X0,X1] : (~leq(X0,X1) | X0 = X1 | less(X0,X1)) )),
2.75/1.12	  inference(cnf_transformation,[],[f90])).
2.75/1.12	fof(f118,plain,(
2.75/1.12	  ( ! [X0,X1] : (leq(X0,X1) | X0 != X1) )),
2.75/1.12	  inference(cnf_transformation,[],[f90])).
2.75/1.12	fof(f123,plain,(
2.75/1.12	  ( ! [X0] : (~less(X0,X0)) )),
2.75/1.12	  inference(cnf_transformation,[],[f8])).
2.75/1.12	fof(f130,plain,(
2.75/1.12	  ( ! [X2,X0,X1] : (leq(X0,X2) | ~in_lopen(X0,X1,X2)) )),
2.75/1.12	  inference(cnf_transformation,[],[f92])).
2.75/1.12	fof(f131,plain,(
2.75/1.12	  ( ! [X2,X0,X1] : (~leq(X0,X2) | in_lopen(X0,X1,X2) | ~less(X1,X0)) )),
2.75/1.12	  inference(cnf_transformation,[],[f92])).
2.75/1.12	fof(f142,plain,(
2.75/1.12	  less(v0,v600)),
2.75/1.12	  inference(cnf_transformation,[],[f30])).
2.75/1.12	fof(f145,plain,(
2.75/1.12	  less(v16,v32)),
2.75/1.12	  inference(cnf_transformation,[],[f34])).
2.75/1.12	fof(f147,plain,(
2.75/1.12	  less(v0,v400)),
2.75/1.12	  inference(cnf_transformation,[],[f36])).
2.75/1.12	fof(f151,plain,(
2.75/1.12	  ( ! [X2,X0,X1] : (in_lopen(X2,v0,v16) | ~in_lopen(X2,v0,v32) | ~in_lopen(X1,v0,v400) | ~in_lopen(X0,v0,v600)) )),
2.75/1.12	  inference(cnf_transformation,[],[f88])).
2.75/1.12	fof(f152,plain,(
2.75/1.12	  less(v0,v32)),
2.75/1.12	  inference(cnf_transformation,[],[f42])).
2.75/1.12	fof(f165,plain,(
2.75/1.12	  ( ! [X1] : (leq(X1,X1)) )),
2.75/1.12	  inference(equality_resolution,[],[f118])).
2.75/1.12	fof(f174,definition,(
2.75/1.12	  spl0_1 <=> ! [X1] : ~in_lopen(X1,v0,v400)),
2.75/1.12	  introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
2.75/1.12	fof(f175,plain,(
2.75/1.12	  ( ! [X1] : (~in_lopen(X1,v0,v400)) ) | ~spl0_1),
2.75/1.12	  inference(avatar_component_clause,[],[f174])).
2.75/1.12	fof(f184,definition,(
2.75/1.12	  spl0_4 <=> ! [X0] : ~in_lopen(X0,v0,v600)),
2.75/1.12	  introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
2.75/1.12	fof(f185,plain,(
2.75/1.12	  ( ! [X0] : (~in_lopen(X0,v0,v600)) ) | ~spl0_4),
2.75/1.12	  inference(avatar_component_clause,[],[f184])).
2.75/1.12	fof(f191,definition,(
2.75/1.12	  spl0_6 <=> ! [X2] : (in_lopen(X2,v0,v16) | ~in_lopen(X2,v0,v32))),
2.75/1.12	  introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
2.75/1.12	fof(f192,plain,(
2.75/1.12	  ( ! [X2] : (~in_lopen(X2,v0,v32) | in_lopen(X2,v0,v16)) ) | ~spl0_6),
2.75/1.12	  inference(avatar_component_clause,[],[f191])).
2.75/1.12	fof(f193,plain,(
2.75/1.12	  spl0_4 | spl0_1 | spl0_6),
2.75/1.12	  inference(avatar_split_clause,[],[f151,f191,f174,f184])).
2.75/1.12	fof(f239,plain,(
2.75/1.12	  ( ! [X0,X1] : (in_lopen(X0,X1,X0) | ~less(X1,X0)) )),
2.75/1.12	  inference(resolution,[],[f165,f131])).
2.75/1.12	fof(f245,plain,(
2.75/1.12	  ( ! [X0,X1] : (~less(X0,X1) | ~less(X1,X0)) )),
2.75/1.12	  inference(resolution,[],[f115,f123])).
2.75/1.12	fof(f278,plain,(
2.75/1.12	  ( ! [X2,X0,X1] : (~in_lopen(X0,X2,X1) | less(X0,X1) | X0 = X1) )),
2.75/1.12	  inference(resolution,[],[f117,f130])).
2.75/1.12	fof(f349,plain,(
2.75/1.12	  ~less(v0,v600) | ~spl0_4),
2.75/1.12	  inference(resolution,[],[f239,f185])).
2.75/1.12	fof(f352,plain,(
2.75/1.12	  $false | ~spl0_4),
2.75/1.12	  inference(forward_subsumption_resolution,[],[f349,f142])).
2.75/1.12	fof(f353,plain,(
2.75/1.12	  ~spl0_4),
2.75/1.12	  inference(avatar_contradiction_clause,[],[f352])).
2.75/1.12	fof(f361,plain,(
2.75/1.12	  in_lopen(v32,v0,v16) | ~less(v0,v32) | ~spl0_6),
2.75/1.12	  inference(resolution,[],[f192,f239])).
2.75/1.12	fof(f362,plain,(
2.75/1.12	  in_lopen(v32,v0,v16) | ~spl0_6),
2.75/1.12	  inference(forward_subsumption_resolution,[],[f361,f152])).
2.75/1.12	fof(f374,plain,(
2.75/1.12	  less(v32,v16) | v16 = v32 | ~spl0_6),
2.75/1.12	  inference(resolution,[],[f278,f362])).
2.75/1.12	fof(f375,plain,(
2.75/1.12	  less(v32,v16) | ~spl0_6),
2.75/1.12	  inference(forward_subsumption_resolution,[],[f374,f99])).
2.75/1.12	fof(f376,plain,(
2.75/1.12	  ~less(v16,v32) | ~spl0_6),
2.75/1.12	  inference(resolution,[],[f375,f245])).
2.75/1.12	fof(f377,plain,(
2.75/1.12	  $false | ~spl0_6),
2.75/1.12	  inference(forward_subsumption_resolution,[],[f376,f145])).
2.75/1.12	fof(f378,plain,(
2.75/1.12	  ~spl0_6),
2.75/1.12	  inference(avatar_contradiction_clause,[],[f377])).
2.75/1.12	fof(f379,plain,(
2.75/1.12	  ~less(v0,v400) | ~spl0_1),
2.75/1.12	  inference(resolution,[],[f175,f239])).
2.75/1.12	fof(f381,plain,(
2.75/1.12	  $false | ~spl0_1),
2.75/1.12	  inference(forward_subsumption_resolution,[],[f379,f147])).
2.75/1.12	fof(f382,plain,(
2.75/1.12	  ~spl0_1),
2.75/1.12	  inference(avatar_contradiction_clause,[],[f381])).
2.75/1.12	cnf(s3, plain, spl0_1 | spl0_4 | spl0_6, inference(sat_conversion,[],[f193])).
2.75/1.12	cnf(s14, plain, ~spl0_4, inference(sat_conversion,[],[f353])).
2.75/1.12	cnf(s16, plain, ~spl0_6, inference(sat_conversion,[],[f378])).
2.75/1.12	cnf(s17, plain, ~spl0_1, inference(sat_conversion,[],[f382])).
2.75/1.12	cnf(s23, plain, $false, inference(rat,[],[s3,s16,s14,s17])).
2.75/1.12	fof(f383,plain,(
2.75/1.12	  $false),
2.75/1.12	  inference(avatar_sat_refutation,[],[s23])).
2.75/1.12	% SZS output end Proof for theBenchmark
2.75/1.12	% (1103384)------------------------------
2.75/1.12	% (1103384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
2.75/1.12	% (1103384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.75/1.12	% (1103384)CaDiCaL version: 2.1.3
2.75/1.12	% (1103384)Termination reason: Refutation
2.75/1.12	% (1103384)Time elapsed: 0.008 s
2.75/1.12	% (1103384)Peak memory usage: 89 MB
2.75/1.12	% (1103384)Instructions burned: 9 (million)
2.75/1.12	% (1103384)------------------------------
2.75/1.12	% (1103384)------------------------------
2.75/1.12	% (1103302)Success in time 0.351 s
2.75/1.12	% Vampire exiting
2.75/1.12	EOF
