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
0.10/0.35	% Computer   : n014.cluster.edu
0.10/0.35	% Model      : x86_64 x86_64
0.10/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.35	% Memory     : 8046.5625MB
0.10/0.35	% OS         : Linux 6.8.0-71-generic
0.10/0.35	% CPULimit   : 1440
0.10/0.35	% WCLimit    : 180
0.10/0.35	% DateTime   : Mon Jul 27 09:27:24 UTC 2026
0.10/0.36	% CPUTime    : 
0.16/0.39	This is a FOF_ problem
0.16/0.40	Running first-order theorem proving
0.16/0.40	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.54/0.49	% (3470549)Running in auto input_syntax mode. Trying TPTP
0.54/0.49	% (3470551)lrs+1011_1_sp=occurrence:random_seed=3202906414:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.54/0.50	% (3470549)Running in auto input_syntax mode. Trying TPTP
0.54/0.50	% (3470555)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1622029048:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi)
0.54/0.50	% (3470551)First to succeed.
0.54/0.50	% (3470551)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3470549"
0.54/0.50	% (3470549)Running in auto input_syntax mode. Trying TPTP
0.54/0.50	% (3470551)Refutation found. Thanks to Tanya!
0.54/0.50	% SZS status Theorem for theBenchmark
0.54/0.50	% SZS output start Proof for theBenchmark
0.54/0.50	fof(f530,plain,(
0.54/0.50	  $false),
0.54/0.50	  inference(avatar_sat_refutation,[],[f197,f271,f278,f529])).
0.54/0.50	fof(f529,plain,(
0.54/0.50	  ~spl0_1),
0.54/0.50	  inference(avatar_contradiction_clause,[],[f528])).
0.54/0.50	fof(f528,plain,(
0.54/0.50	  $false | ~spl0_1),
0.54/0.50	  inference(subsumption_resolution,[],[f527,f128])).
0.54/0.50	fof(f128,plain,(
0.54/0.50	  less(v16,v32)),
0.54/0.50	  inference(cnf_transformation,[],[f34])).
0.54/0.50	fof(f34,axiom,(
0.54/0.50	  less(v16,v32)),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f527,plain,(
0.54/0.50	  ~less(v16,v32) | ~spl0_1),
0.54/0.50	  inference(subsumption_resolution,[],[f523,f135])).
0.54/0.50	fof(f135,plain,(
0.54/0.50	  less(v0,v32)),
0.54/0.50	  inference(cnf_transformation,[],[f42])).
0.54/0.50	fof(f42,axiom,(
0.54/0.50	  less(v0,v32)),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f523,plain,(
0.54/0.50	  ~less(v0,v32) | ~less(v16,v32) | ~spl0_1),
0.54/0.50	  inference(resolution,[],[f508,f181])).
0.54/0.50	fof(f181,plain,(
0.54/0.50	  ( ! [X1] : (leq(X1,X1)) )),
0.54/0.50	  inference(equality_resolution,[],[f161])).
0.54/0.50	fof(f161,plain,(
0.54/0.50	  ( ! [X0,X1] : (leq(X0,X1) | X0 != X1) )),
0.54/0.50	  inference(cnf_transformation,[],[f100])).
0.54/0.50	fof(f100,plain,(
0.54/0.50	  ! [X0,X1] : ((leq(X0,X1) | (X0 != X1 & ~less(X0,X1))) & (X0 = X1 | less(X0,X1) | ~leq(X0,X1)))),
0.54/0.50	  inference(flattening,[],[f99])).
0.54/0.50	fof(f99,plain,(
0.54/0.50	  ! [X0,X1] : ((leq(X0,X1) | (X0 != X1 & ~less(X0,X1))) & ((X0 = X1 | less(X0,X1)) | ~leq(X0,X1)))),
0.54/0.50	  inference(nnf_transformation,[],[f4])).
0.54/0.50	fof(f4,axiom,(
0.54/0.50	  ! [X0,X1] : (leq(X0,X1) <=> (X0 = X1 | less(X0,X1)))),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f508,plain,(
0.54/0.50	  ( ! [X0] : (~leq(X0,v32) | ~less(v0,X0) | ~less(v16,X0)) ) | ~spl0_1),
0.54/0.50	  inference(resolution,[],[f505,f170])).
0.54/0.50	fof(f170,plain,(
0.54/0.50	  ( ! [X2,X0,X1] : (in_lopen(X0,X1,X2) | ~less(X1,X0) | ~leq(X0,X2)) )),
0.54/0.50	  inference(cnf_transformation,[],[f102])).
0.54/0.50	fof(f102,plain,(
0.54/0.50	  ! [X0,X1,X2] : ((in_lopen(X0,X1,X2) | ~less(X1,X0) | ~leq(X0,X2)) & ((less(X1,X0) & leq(X0,X2)) | ~in_lopen(X0,X1,X2)))),
0.54/0.50	  inference(flattening,[],[f101])).
0.54/0.50	fof(f101,plain,(
0.54/0.50	  ! [X0,X1,X2] : ((in_lopen(X0,X1,X2) | (~less(X1,X0) | ~leq(X0,X2))) & ((less(X1,X0) & leq(X0,X2)) | ~in_lopen(X0,X1,X2)))),
0.54/0.50	  inference(nnf_transformation,[],[f65])).
0.54/0.50	fof(f65,plain,(
0.54/0.50	  ! [X0,X1,X2] : (in_lopen(X0,X1,X2) <=> (less(X1,X0) & leq(X0,X2)))),
0.54/0.50	  inference(rectify,[],[f14])).
0.54/0.50	fof(f14,axiom,(
0.54/0.50	  ! [X0,X9,X10] : (in_lopen(X0,X9,X10) <=> (less(X9,X0) & leq(X0,X10)))),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f505,plain,(
0.54/0.50	  ( ! [X0] : (~in_lopen(X0,v0,v32) | ~less(v16,X0)) ) | ~spl0_1),
0.54/0.50	  inference(resolution,[],[f219,f190])).
0.54/0.50	fof(f190,plain,(
0.54/0.50	  ( ! [X2] : (in_lopen(X2,v0,v16) | ~in_lopen(X2,v0,v32)) ) | ~spl0_1),
0.54/0.50	  inference(avatar_component_clause,[],[f189])).
0.54/0.50	fof(f189,definition,(
0.54/0.50	  spl0_1 <=> ! [X2] : (~in_lopen(X2,v0,v32) | in_lopen(X2,v0,v16))),
0.54/0.50	  introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
0.54/0.50	fof(f219,plain,(
0.54/0.50	  ( ! [X2,X0,X1] : (~in_lopen(X1,X2,X0) | ~less(X0,X1)) )),
0.54/0.50	  inference(resolution,[],[f217,f168])).
0.54/0.50	fof(f168,plain,(
0.54/0.50	  ( ! [X2,X0,X1] : (leq(X0,X2) | ~in_lopen(X0,X1,X2)) )),
0.54/0.50	  inference(cnf_transformation,[],[f102])).
0.54/0.50	fof(f217,plain,(
0.54/0.50	  ( ! [X0,X1] : (~leq(X0,X1) | ~less(X1,X0)) )),
0.54/0.50	  inference(resolution,[],[f165,f164])).
0.54/0.50	fof(f164,plain,(
0.54/0.50	  ( ! [X0] : (~less(X0,X0)) )),
0.54/0.50	  inference(cnf_transformation,[],[f8])).
0.54/0.50	fof(f8,axiom,(
0.54/0.50	  ! [X0] : ~less(X0,X0)),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f165,plain,(
0.54/0.50	  ( ! [X2,X0,X1] : (less(X0,X2) | ~leq(X0,X1) | ~less(X1,X2)) )),
0.54/0.50	  inference(cnf_transformation,[],[f92])).
0.54/0.50	fof(f92,plain,(
0.54/0.50	  ! [X0,X1,X2] : (less(X0,X2) | ~leq(X0,X1) | ~less(X1,X2))),
0.54/0.50	  inference(flattening,[],[f91])).
0.54/0.50	fof(f91,plain,(
0.54/0.50	  ! [X0,X1,X2] : (less(X0,X2) | (~leq(X0,X1) | ~less(X1,X2)))),
0.54/0.50	  inference(ennf_transformation,[],[f6])).
0.54/0.50	fof(f6,axiom,(
0.54/0.50	  ! [X0,X1,X2] : ((leq(X0,X1) & less(X1,X2)) => less(X0,X2))),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f278,plain,(
0.54/0.50	  ~spl0_3),
0.54/0.50	  inference(avatar_contradiction_clause,[],[f277])).
0.54/0.50	fof(f277,plain,(
0.54/0.50	  $false | ~spl0_3),
0.54/0.50	  inference(subsumption_resolution,[],[f273,f125])).
0.54/0.50	fof(f125,plain,(
0.54/0.50	  less(v0,v600)),
0.54/0.50	  inference(cnf_transformation,[],[f30])).
0.54/0.50	fof(f30,axiom,(
0.54/0.50	  less(v0,v600)),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f273,plain,(
0.54/0.50	  ~less(v0,v600) | ~spl0_3),
0.54/0.50	  inference(resolution,[],[f264,f181])).
0.54/0.50	fof(f264,plain,(
0.54/0.50	  ( ! [X0] : (~leq(X0,v600) | ~less(v0,X0)) ) | ~spl0_3),
0.54/0.50	  inference(resolution,[],[f170,f196])).
0.54/0.50	fof(f196,plain,(
0.54/0.50	  ( ! [X0] : (~in_lopen(X0,v0,v600)) ) | ~spl0_3),
0.54/0.50	  inference(avatar_component_clause,[],[f195])).
0.54/0.50	fof(f195,definition,(
0.54/0.50	  spl0_3 <=> ! [X0] : ~in_lopen(X0,v0,v600)),
0.54/0.50	  introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
0.54/0.50	fof(f271,plain,(
0.54/0.50	  ~spl0_2),
0.54/0.50	  inference(avatar_contradiction_clause,[],[f270])).
0.54/0.50	fof(f270,plain,(
0.54/0.50	  $false | ~spl0_2),
0.54/0.50	  inference(subsumption_resolution,[],[f266,f130])).
0.54/0.50	fof(f130,plain,(
0.54/0.50	  less(v0,v400)),
0.54/0.50	  inference(cnf_transformation,[],[f36])).
0.54/0.50	fof(f36,axiom,(
0.54/0.50	  less(v0,v400)),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	fof(f266,plain,(
0.54/0.50	  ~less(v0,v400) | ~spl0_2),
0.54/0.50	  inference(resolution,[],[f263,f181])).
0.54/0.50	fof(f263,plain,(
0.54/0.50	  ( ! [X0] : (~leq(X0,v400) | ~less(v0,X0)) ) | ~spl0_2),
0.54/0.50	  inference(resolution,[],[f170,f193])).
0.54/0.50	fof(f193,plain,(
0.54/0.50	  ( ! [X1] : (~in_lopen(X1,v0,v400)) ) | ~spl0_2),
0.54/0.50	  inference(avatar_component_clause,[],[f192])).
0.54/0.50	fof(f192,definition,(
0.54/0.50	  spl0_2 <=> ! [X1] : ~in_lopen(X1,v0,v400)),
0.54/0.50	  introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
0.54/0.50	fof(f197,plain,(
0.54/0.50	  spl0_1 | spl0_2 | spl0_3),
0.54/0.50	  inference(avatar_split_clause,[],[f132,f195,f192,f189])).
0.54/0.50	fof(f132,plain,(
0.54/0.50	  ( ! [X2,X0,X1] : (~in_lopen(X0,v0,v600) | ~in_lopen(X1,v0,v400) | ~in_lopen(X2,v0,v32) | in_lopen(X2,v0,v16)) )),
0.54/0.50	  inference(cnf_transformation,[],[f77])).
0.54/0.50	fof(f77,plain,(
0.54/0.50	  ! [X0,X1,X2] : (~in_lopen(X0,v0,v600) | ~in_lopen(X1,v0,v400) | ~in_lopen(X2,v0,v32) | (in_lopen(X0,v0,v1200) & in_lopen(X1,v0,v800) & in_lopen(X2,v0,v16)))),
0.54/0.50	  inference(ennf_transformation,[],[f41])).
0.54/0.50	fof(f41,negated_conjecture,(
0.54/0.50	  ~? [X0,X1,X2] : (in_lopen(X0,v0,v600) & in_lopen(X1,v0,v400) & in_lopen(X2,v0,v32) & ~(in_lopen(X0,v0,v1200) & in_lopen(X1,v0,v800) & in_lopen(X2,v0,v16)))),
0.54/0.50	  inference(negated_conjecture,[status(cth)],[f40])).
0.54/0.50	fof(f40,conjecture,(
0.54/0.50	  ? [X0,X1,X2] : (in_lopen(X0,v0,v600) & in_lopen(X1,v0,v400) & in_lopen(X2,v0,v32) & ~(in_lopen(X0,v0,v1200) & in_lopen(X1,v0,v800) & in_lopen(X2,v0,v16)))),
0.54/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.54/0.50	% SZS output end Proof for theBenchmark
0.54/0.50	% (3470551)------------------------------
0.54/0.50	% (3470551)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.54/0.50	% (3470551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.54/0.50	% (3470551)Termination reason: Refutation
0.54/0.50	
0.54/0.50	% (3470551)Time elapsed: 0.012 s
0.54/0.50	% (3470551)Peak memory usage: 12 MB
0.54/0.50	% (3470551)Instructions burned: 16 (million)
0.54/0.50	% (3470551)------------------------------
0.54/0.50	% (3470551)------------------------------
0.54/0.50	% (3470549)Success in time 0.102 s
0.54/0.51	EOF