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
0.12/0.33	% Computer   : n023.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.34	% DateTime   : Wed Jul 30 02:00:34 EDT 2025
0.12/0.34	% CPUTime    : 
0.12/0.36	This is a FOF_ problem
0.12/0.37	Running first-order theorem proving
0.12/0.37	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox/benchmark/theBenchmark.p
0.23/0.45	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.45	% (18829)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=3591038338:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi)
0.23/0.49	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (18834)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=1536649544:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi)
0.23/0.49	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (18828)lrs+1011_1_sp=occurrence:random_seed=3330059887:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi)
0.23/0.49	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (18831)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=890713045:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi)
0.23/0.49	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (18832)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1777182506:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi)
0.23/0.49	% (18831)Refutation not found, incomplete strategy% (18831)------------------------------
0.23/0.49	% (18831)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.23/0.49	% (18831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.23/0.49	% (18831)Termination reason: Refutation not found, incomplete strategy
0.23/0.49	
0.23/0.49	% (18831)Time elapsed: 0.001 s
0.23/0.49	% (18831)Peak memory usage: 7 MB
0.23/0.49	% (18831)------------------------------
0.23/0.49	% (18831)------------------------------
0.23/0.49	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.49	% (18833)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=2070208657:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi)
0.23/0.50	% (18834)First to succeed.
0.23/0.50	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.50	% (18830)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3925381933:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi)
0.23/0.50	% (18828)Also succeeded, but the first one will report.
0.23/0.50	% (18834)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18826"
0.23/0.50	% (18832)Also succeeded, but the first one will report.
0.23/0.50	% (18826)Running in auto input_syntax mode. Trying TPTP
0.23/0.50	% (18834)Refutation found. Thanks to Tanya!
0.23/0.50	% SZS status Theorem for theBenchmark
0.23/0.50	% SZS output start Proof for theBenchmark
0.23/0.50	fof(f132,plain,(
0.23/0.50	  $false),
0.23/0.50	  inference(subsumption_resolution,[],[f129,f85])).
0.23/0.50	fof(f85,plain,(
0.23/0.50	  ( ! [X1] : (model(X1,sK6)) )),
0.23/0.50	  inference(cnf_transformation,[],[f59])).
0.23/0.50	fof(f59,plain,(
0.23/0.50	  ! [X1] : model(X1,sK6)),
0.23/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f37,f58])).
0.23/0.50	fof(f58,plain,(
0.23/0.50	  ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK6)),
0.23/0.50	  introduced(definition,[],[choice_axiom])).
0.23/0.50	fof(f37,plain,(
0.23/0.50	  ? [X0] : ! [X1] : model(X1,X0)),
0.23/0.50	  inference(rectify,[],[f27])).
0.23/0.50	fof(f27,axiom,(
0.23/0.50	  ? [X8] : ! [X9] : model(X9,X8)),
0.23/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.23/0.50	fof(f129,plain,(
0.23/0.50	  ~model(sK7,sK6)),
0.23/0.50	  inference(resolution,[],[f127,f85])).
0.23/0.50	fof(f127,plain,(
0.23/0.50	  ( ! [X0] : (~model(sK10,X0) | ~model(sK7,X0)) )),
0.23/0.50	  inference(resolution,[],[f114,f87])).
0.23/0.50	fof(f87,plain,(
0.23/0.50	  model(sK10,sK9)),
0.23/0.50	  inference(cnf_transformation,[],[f62])).
0.23/0.50	fof(f62,plain,(
0.23/0.50	  model(sK7,sK8) & model(sK10,sK9) & ~model(sK7,sK9)),
0.23/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f38,f61,f60])).
0.23/0.50	fof(f60,plain,(
0.23/0.50	  ? [X0,X1,X2] : (model(X0,X1) & ? [X3] : model(X3,X2) & ~model(X0,X2)) => (model(sK7,sK8) & ? [X3] : model(X3,sK9) & ~model(sK7,sK9))),
0.23/0.50	  introduced(definition,[],[choice_axiom])).
0.23/0.50	fof(f61,plain,(
0.23/0.50	  ? [X3] : model(X3,sK9) => model(sK10,sK9)),
0.23/0.50	  introduced(definition,[],[choice_axiom])).
0.23/0.50	fof(f38,plain,(
0.23/0.50	  ? [X0,X1,X2] : (model(X0,X1) & ? [X3] : model(X3,X2) & ~model(X0,X2))),
0.23/0.50	  inference(rectify,[],[f26])).
0.23/0.50	fof(f26,axiom,(
0.23/0.50	  ? [X2,X0,X1] : (model(X2,X0) & ? [X3] : model(X3,X1) & ~model(X2,X1))),
0.23/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.23/0.50	fof(f114,plain,(
0.23/0.50	  ( ! [X0,X1] : (~model(X1,sK9) | ~model(sK7,X0) | ~model(X1,X0)) )),
0.23/0.50	  inference(resolution,[],[f111,f86])).
0.23/0.50	fof(f86,plain,(
0.23/0.50	  ~model(sK7,sK9)),
0.23/0.50	  inference(cnf_transformation,[],[f62])).
0.23/0.50	fof(f111,plain,(
0.23/0.50	  ( ! [X2,X3,X0,X1] : (model(X0,X2) | ~model(X0,X1) | ~model(X3,X2) | ~model(X3,X1)) )),
0.23/0.50	  inference(resolution,[],[f110,f81])).
0.23/0.50	fof(f81,plain,(
0.23/0.50	  ( ! [X2,X0,X1] : (status(X0,X1,sat) | ~model(X2,X1) | ~model(X2,X0)) )),
0.23/0.50	  inference(cnf_transformation,[],[f53])).
0.23/0.50	fof(f53,plain,(
0.23/0.50	  ! [X0,X1] : ((status(X0,X1,sat) | ! [X2] : (~model(X2,X1) | ~model(X2,X0))) & ((model(sK1(X0,X1),X1) & model(sK1(X0,X1),X0)) | ~status(X0,X1,sat)))),
0.23/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f51,f52])).
0.23/0.50	fof(f52,plain,(
0.23/0.50	  ! [X0,X1] : (? [X3] : (model(X3,X1) & model(X3,X0)) => (model(sK1(X0,X1),X1) & model(sK1(X0,X1),X0)))),
0.23/0.50	  introduced(definition,[],[choice_axiom])).
0.23/0.50	fof(f51,plain,(
0.23/0.50	  ! [X0,X1] : ((status(X0,X1,sat) | ! [X2] : (~model(X2,X1) | ~model(X2,X0))) & (? [X3] : (model(X3,X1) & model(X3,X0)) | ~status(X0,X1,sat)))),
0.23/0.50	  inference(rectify,[],[f50])).
0.23/0.50	fof(f50,plain,(
0.23/0.50	  ! [X0,X1] : ((status(X0,X1,sat) | ! [X2] : (~model(X2,X1) | ~model(X2,X0))) & (? [X2] : (model(X2,X1) & model(X2,X0)) | ~status(X0,X1,sat)))),
0.23/0.50	  inference(nnf_transformation,[],[f11])).
0.23/0.50	fof(f11,axiom,(
0.23/0.50	  ! [X0,X1] : (status(X0,X1,sat) <=> ? [X2] : (model(X2,X1) & model(X2,X0)))),
0.23/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.23/0.50	fof(f110,plain,(
0.23/0.50	  ( ! [X2,X0,X1] : (~status(X0,X1,sat) | ~model(X2,X0) | model(X2,X1)) )),
0.23/0.50	  inference(resolution,[],[f109,f77])).
0.23/0.50	fof(f77,plain,(
0.23/0.50	  ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X0) | model(X2,X1)) )),
0.23/0.50	  inference(cnf_transformation,[],[f49])).
0.23/0.50	fof(f49,plain,(
0.23/0.50	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | (~model(sK0(X0,X1),X1) & model(sK0(X0,X1),X0))))),
0.23/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f48])).
0.23/0.50	fof(f48,plain,(
0.23/0.50	  ! [X0,X1] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK0(X0,X1),X1) & model(sK0(X0,X1),X0)))),
0.23/0.50	  introduced(definition,[],[choice_axiom])).
0.23/0.50	fof(f47,plain,(
0.23/0.50	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))),
0.23/0.50	  inference(rectify,[],[f46])).
0.23/0.50	fof(f46,plain,(
0.23/0.50	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))),
0.23/0.50	  inference(nnf_transformation,[],[f43])).
0.23/0.50	fof(f43,plain,(
0.23/0.50	  ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))),
0.23/0.50	  inference(ennf_transformation,[],[f3])).
0.23/0.50	fof(f3,axiom,(
0.23/0.50	  ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))),
0.23/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.23/0.50	fof(f109,plain,(
0.23/0.50	  ( ! [X0,X1] : (status(X0,X1,thm) | ~status(X0,X1,sat)) )),
0.23/0.50	  inference(resolution,[],[f78,f74])).
0.23/0.50	fof(f74,plain,(
0.23/0.50	  ~nota(sat,thm)),
0.23/0.50	  inference(cnf_transformation,[],[f35])).
0.23/0.50	fof(f35,plain,(
0.23/0.50	  ~nota(sat,thm)),
0.23/0.50	  inference(flattening,[],[f34])).
0.23/0.50	fof(f34,negated_conjecture,(
0.23/0.50	  ~nota(sat,thm)),
0.23/0.50	  inference(negated_conjecture,[status(cth)],[f33])).
0.23/0.50	fof(f33,conjecture,(
0.23/0.50	  nota(sat,thm)),
0.23/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.23/0.50	fof(f78,plain,(
0.23/0.50	  ( ! [X2,X3,X0,X1] : (nota(X0,X1) | ~status(X2,X3,X0) | status(X2,X3,X1)) )),
0.23/0.50	  inference(cnf_transformation,[],[f44])).
0.23/0.50	fof(f44,plain,(
0.23/0.50	  ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (~status(X2,X3,X0) | status(X2,X3,X1)))),
0.23/0.50	  inference(ennf_transformation,[],[f42])).
0.23/0.50	fof(f42,plain,(
0.23/0.50	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X0) & ~status(X2,X3,X1)) => nota(X0,X1))),
0.23/0.50	  inference(unused_predicate_definition_removal,[],[f36])).
0.23/0.50	fof(f36,plain,(
0.23/0.50	  ! [X0,X1] : (nota(X0,X1) <=> ? [X2,X3] : (status(X2,X3,X0) & ~status(X2,X3,X1)))),
0.23/0.50	  inference(rectify,[],[f23])).
0.23/0.50	fof(f23,axiom,(
0.23/0.50	  ! [X6,X7] : (nota(X6,X7) <=> ? [X0,X1] : (status(X0,X1,X6) & ~status(X0,X1,X7)))),
0.23/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.23/0.50	% SZS output end Proof for theBenchmark
0.23/0.50	% (18834)------------------------------
0.23/0.50	% (18834)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.23/0.50	% (18834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.23/0.50	% (18834)Termination reason: Refutation
0.23/0.50	
0.23/0.50	% (18834)Time elapsed: 0.003 s
0.23/0.50	% (18834)Peak memory usage: 8 MB
0.23/0.50	% (18834)Instructions burned: 4 (million)
0.23/0.50	% (18834)------------------------------
0.23/0.50	% (18834)------------------------------
0.23/0.50	% (18826)Success in time 0.126 s
0.23/0.50	EOF