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
0.08/0.39	% Computer   : n007.cluster.edu
0.08/0.39	% Model      : x86_64 x86_64
0.08/0.39	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.39	% Memory     : 8046.5625MB
0.08/0.39	% OS         : Linux 6.8.0-71-generic
0.08/0.40	% CPULimit   : 1440
0.08/0.40	% WCLimit    : 180
0.08/0.40	% DateTime   : Mon Jul 27 08:56:48 UTC 2026
0.08/0.40	% CPUTime    : 
0.08/0.43	This is a FOF_ problem
0.08/0.44	Running first-order theorem proving
0.08/0.44	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.16/0.50	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.50	% (873726)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=2369554917:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi)
0.16/0.50	% (873726)Refutation not found, incomplete strategy% (873726)------------------------------
0.16/0.50	% (873726)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.50	% (873726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.50	% (873726)Termination reason: Refutation not found, incomplete strategy
0.16/0.50	
0.16/0.50	% (873726)Time elapsed: 0.001 s
0.16/0.50	% (873726)Peak memory usage: 12 MB
0.16/0.50	% (873726)Instructions burned: 1 (million)
0.16/0.50	% (873726)------------------------------
0.16/0.50	% (873726)------------------------------
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873722)lrs+1011_1_sp=occurrence:random_seed=403903129:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873724)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=2927350109:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873723)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2386534203:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873725)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=916370221:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873727)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=1513200501:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873728)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=503583057:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi)
0.16/0.53	% (873723)First to succeed.
0.16/0.53	% (873727)Also succeeded, but the first one will report.
0.16/0.53	% (873725)Also succeeded, but the first one will report.
0.16/0.53	% (873724)Also succeeded, but the first one will report.
0.16/0.53	% (873722)Also succeeded, but the first one will report.
0.16/0.53	% (873723)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-873720"
0.16/0.53	% (873720)Running in auto input_syntax mode. Trying TPTP
0.16/0.53	% (873723)Refutation found. Thanks to Tanya!
0.16/0.53	% SZS status Theorem for theBenchmark
0.16/0.53	% SZS output start Proof for theBenchmark
0.16/0.53	fof(f64,plain,(
0.16/0.53	  $false),
0.16/0.53	  inference(resolution,[],[f63,f42])).
0.16/0.53	fof(f42,plain,(
0.16/0.53	  ( ! [X0] : (~leqNat(s(X0),z)) )),
0.16/0.53	  inference(cnf_transformation,[],[f22])).
0.16/0.53	fof(f22,plain,(
0.16/0.53	  ! [X0] : ~leqNat(s(X0),z)),
0.16/0.53	  inference(rectify,[],[f9])).
0.16/0.53	fof(f9,axiom,(
0.16/0.53	  ! [X4] : ~leqNat(s(X4),z)),
0.16/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.53	fof(f63,plain,(
0.16/0.53	  ( ! [X0,X1] : (leqNat(X0,X1)) )),
0.16/0.53	  inference(subsumption_resolution,[],[f49,f60])).
0.16/0.53	fof(f60,plain,(
0.16/0.53	  ( ! [X0] : (ord(X0)) )),
0.16/0.53	  inference(subsumption_resolution,[],[f59,f37])).
0.16/0.53	fof(f37,plain,(
0.16/0.53	  ord(nil)),
0.16/0.53	  inference(cnf_transformation,[],[f4])).
0.16/0.53	fof(f4,axiom,(
0.16/0.53	  ord(nil)),
0.16/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.53	fof(f59,plain,(
0.16/0.53	  ( ! [X0] : (ord(X0) | ~ord(nil)) )),
0.16/0.53	  inference(duplicate_literal_removal,[],[f58])).
0.16/0.53	fof(f58,plain,(
0.16/0.53	  ( ! [X0] : (ord(X0) | ord(X0) | ~ord(nil)) )),
0.16/0.53	  inference(superposition,[],[f36,f47])).
0.16/0.53	fof(f47,plain,(
0.16/0.53	  ( ! [X0] : (merge(nil,X0) = X0) )),
0.16/0.53	  inference(cnf_transformation,[],[f25])).
0.16/0.53	fof(f25,plain,(
0.16/0.53	  ! [X0] : merge(nil,X0) = X0),
0.16/0.53	  inference(rectify,[],[f14])).
0.16/0.53	fof(f14,axiom,(
0.16/0.53	  ! [X6] : merge(nil,X6) = X6),
0.16/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.53	fof(f36,plain,(
0.16/0.53	  ( ! [X0,X1] : (ord(merge(X0,X1)) | ord(X1) | ~ord(X0)) )),
0.16/0.53	  inference(cnf_transformation,[],[f29])).
0.16/0.53	fof(f29,plain,(
0.16/0.53	  ! [X0,X1] : (ord(merge(X0,X1)) | ord(X1) | ~ord(X0))),
0.16/0.53	  inference(flattening,[],[f28])).
0.16/0.53	fof(f28,plain,(
0.16/0.53	  ! [X0,X1] : ((ord(merge(X0,X1)) | ord(X1)) | ~ord(X0))),
0.16/0.53	  inference(ennf_transformation,[],[f18])).
0.16/0.53	fof(f18,plain,(
0.16/0.53	  ~? [X0,X1] : ~(ord(X0) => (~ord(X1) => ord(merge(X0,X1))))),
0.16/0.53	  inference(rectify,[],[f3])).
0.16/0.53	fof(f3,negated_conjecture,(
0.16/0.53	  ~? [X2,X3] : ~(ord(X2) => (~ord(X3) => ord(merge(X2,X3))))),
0.16/0.53	  inference(negated_conjecture,[status(cth)],[f2])).
0.16/0.53	fof(f2,conjecture,(
0.16/0.53	  ? [X2,X3] : ~(ord(X2) => (~ord(X3) => ord(merge(X2,X3))))),
0.16/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.53	fof(f49,plain,(
0.16/0.53	  ( ! [X2,X0,X1] : (leqNat(X0,X1) | ~ord(cons(X0,cons(X1,X2)))) )),
0.16/0.53	  inference(cnf_transformation,[],[f33])).
0.16/0.53	fof(f33,plain,(
0.16/0.53	  ! [X0,X1,X2] : ((ord(cons(X0,cons(X1,X2))) | ~ord(cons(X1,X2)) | ~leqNat(X0,X1)) & ((ord(cons(X1,X2)) & leqNat(X0,X1)) | ~ord(cons(X0,cons(X1,X2)))))),
0.16/0.53	  inference(flattening,[],[f32])).
0.16/0.53	fof(f32,plain,(
0.16/0.53	  ! [X0,X1,X2] : ((ord(cons(X0,cons(X1,X2))) | (~ord(cons(X1,X2)) | ~leqNat(X0,X1))) & ((ord(cons(X1,X2)) & leqNat(X0,X1)) | ~ord(cons(X0,cons(X1,X2)))))),
0.16/0.53	  inference(nnf_transformation,[],[f26])).
0.16/0.53	fof(f26,plain,(
0.16/0.53	  ! [X0,X1,X2] : (ord(cons(X0,cons(X1,X2))) <=> (ord(cons(X1,X2)) & leqNat(X0,X1)))),
0.16/0.53	  inference(rectify,[],[f16])).
0.16/0.53	fof(f16,axiom,(
0.16/0.53	  ! [X6,X5,X2] : (ord(cons(X6,cons(X5,X2))) <=> (ord(cons(X5,X2)) & leqNat(X6,X5)))),
0.16/0.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.53	% SZS output end Proof for theBenchmark
0.16/0.53	% (873723)------------------------------
0.16/0.53	% (873723)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.53	% (873723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.53	% (873723)Termination reason: Refutation
0.16/0.53	
0.16/0.53	% (873723)Time elapsed: 0.002 s
0.16/0.53	% (873723)Peak memory usage: 12 MB
0.16/0.53	% (873723)Instructions burned: 2 (million)
0.16/0.53	% (873723)------------------------------
0.16/0.53	% (873723)------------------------------
0.16/0.53	% (873720)Success in time 0.09 s
0.16/0.54	EOF