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
0.08/0.35	% Computer   : n020.cluster.edu
0.08/0.35	% Model      : x86_64 x86_64
0.08/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.35	% Memory     : 8046.5625MB
0.08/0.35	% OS         : Linux 6.8.0-71-generic
0.08/0.35	% CPULimit   : 1440
0.08/0.35	% WCLimit    : 180
0.08/0.35	% DateTime   : Mon Jul 27 09:44:51 UTC 2026
0.08/0.35	% CPUTime    : 
0.14/0.39	This is a FOF_ problem
0.14/0.39	Running first-order theorem proving
0.14/0.39	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.46	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.14/0.46	% (2492600)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=3791093887:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.14/0.49	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.14/0.49	% (2492599)lrs+1011_1_sp=occurrence:random_seed=3450622132:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.56/0.49	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.56/0.49	% (2492601)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=1688088863:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
0.56/0.49	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.56/0.49	% (2492602)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=3689010093:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.56/0.49	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.56/0.49	% (2492604)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3556004788:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.56/0.49	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.56/0.49	% (2492605)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=2224341163:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi)
0.56/0.50	% (2492602)Refutation not found, incomplete strategy% (2492602)------------------------------
0.56/0.50	% (2492602)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.56/0.50	% (2492602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.56/0.50	% (2492602)Termination reason: Refutation not found, incomplete strategy
0.56/0.50	
0.56/0.50	% (2492602)Time elapsed: 0.002 s
0.56/0.50	% (2492602)Peak memory usage: 12 MB
0.56/0.50	% (2492602)Instructions burned: 1 (million)
0.56/0.50	% (2492602)------------------------------
0.56/0.50	% (2492602)------------------------------
0.56/0.50	% (2492605)First to succeed.
0.56/0.50	% (2492605)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2492597"
0.56/0.50	% (2492597)Running in auto input_syntax mode. Trying TPTP
0.56/0.50	% (2492605)Refutation found. Thanks to Tanya!
0.56/0.50	% SZS status Theorem for theBenchmark
0.56/0.50	% SZS output start Proof for theBenchmark
0.56/0.50	fof(f186,plain,(
0.56/0.50	  $false),
0.56/0.50	  inference(avatar_sat_refutation,[],[f176,f184])).
0.56/0.50	fof(f184,plain,(
0.56/0.50	  ~spl22_3),
0.56/0.50	  inference(avatar_contradiction_clause,[],[f183])).
0.56/0.50	fof(f183,plain,(
0.56/0.50	  $false | ~spl22_3),
0.56/0.50	  inference(resolution,[],[f175,f90])).
0.56/0.50	fof(f90,plain,(
0.56/0.50	  model(sK6,sK4)),
0.56/0.50	  inference(cnf_transformation,[],[f62])).
0.56/0.50	fof(f62,plain,(
0.56/0.50	  ~model(sK5,sK4) & model(sK6,sK4)),
0.56/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f38,f61,f60,f59])).
0.56/0.50	fof(f59,plain,(
0.56/0.50	  ? [X0] : (? [X1] : ~model(X1,X0) & ? [X2] : model(X2,X0)) => (? [X1] : ~model(X1,sK4) & ? [X2] : model(X2,sK4))),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f60,plain,(
0.56/0.50	  ? [X1] : ~model(X1,sK4) => ~model(sK5,sK4)),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f61,plain,(
0.56/0.50	  ? [X2] : model(X2,sK4) => model(sK6,sK4)),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f38,plain,(
0.56/0.50	  ? [X0] : (? [X1] : ~model(X1,X0) & ? [X2] : model(X2,X0))),
0.56/0.50	  inference(rectify,[],[f32])).
0.56/0.50	fof(f32,axiom,(
0.56/0.50	  ? [X7] : (? [X3] : ~model(X3,X7) & ? [X2] : model(X2,X7))),
0.56/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.56/0.50	fof(f175,plain,(
0.56/0.50	  ( ! [X1] : (~model(X1,sK4)) ) | ~spl22_3),
0.56/0.50	  inference(avatar_component_clause,[],[f174])).
0.56/0.50	fof(f174,definition,(
0.56/0.50	  spl22_3 <=> ! [X1] : ~model(X1,sK4)),
0.56/0.50	  introduced(definition,[new_symbols(naming,[spl22_3])],[avatar_definition])).
0.56/0.50	fof(f176,plain,(
0.56/0.50	  spl22_3 | spl22_3),
0.56/0.50	  inference(avatar_split_clause,[],[f164,f174,f174])).
0.56/0.50	fof(f164,plain,(
0.56/0.50	  ( ! [X0,X1] : (~model(X0,sK4) | ~model(X1,sK4)) )),
0.56/0.50	  inference(resolution,[],[f157,f91])).
0.56/0.50	fof(f91,plain,(
0.56/0.50	  ~model(sK5,sK4)),
0.56/0.50	  inference(cnf_transformation,[],[f62])).
0.56/0.50	fof(f157,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (model(X0,X1) | ~model(X2,X1) | ~model(X3,X1)) )),
0.56/0.50	  inference(subsumption_resolution,[],[f153,f152])).
0.56/0.50	fof(f152,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (~model(sK3(X1,X1),X1) | ~model(X2,X1) | ~model(X3,X1) | model(X0,X1)) )),
0.56/0.50	  inference(resolution,[],[f141,f89])).
0.56/0.50	fof(f89,plain,(
0.56/0.50	  ( ! [X0,X1] : (status(X0,X1,thm) | ~model(sK3(X0,X1),X1)) )),
0.56/0.50	  inference(cnf_transformation,[],[f58])).
0.56/0.50	fof(f58,plain,(
0.56/0.50	  ! [X0,X1] : ((status(X0,X1,thm) | (~model(sK3(X0,X1),X1) & model(sK3(X0,X1),X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.56/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f56,f57])).
0.56/0.50	fof(f57,plain,(
0.56/0.50	  ! [X0,X1] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK3(X0,X1),X1) & model(sK3(X0,X1),X0)))),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f56,plain,(
0.56/0.50	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.56/0.50	  inference(rectify,[],[f55])).
0.56/0.50	fof(f55,plain,(
0.56/0.50	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))),
0.56/0.50	  inference(nnf_transformation,[],[f46])).
0.56/0.50	fof(f46,plain,(
0.56/0.50	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))),
0.56/0.50	  inference(ennf_transformation,[],[f12])).
0.56/0.50	fof(f12,axiom,(
0.56/0.50	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))),
0.56/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.56/0.50	fof(f141,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (~status(X1,X1,thm) | model(X2,X1) | ~model(X3,X1) | ~model(X0,X1)) )),
0.56/0.50	  inference(resolution,[],[f132,f115])).
0.56/0.50	fof(f115,plain,(
0.56/0.50	  ( ! [X0,X1] : (~status(X0,X1,eth) | ~status(X0,X1,thm)) )),
0.56/0.50	  inference(resolution,[],[f86,f79])).
0.56/0.50	fof(f79,plain,(
0.56/0.50	  ~mighta(eth,thm)),
0.56/0.50	  inference(cnf_transformation,[],[f35])).
0.56/0.50	fof(f35,plain,(
0.56/0.50	  ~mighta(eth,thm)),
0.56/0.50	  inference(flattening,[],[f34])).
0.56/0.50	fof(f34,negated_conjecture,(
0.56/0.50	  ~mighta(eth,thm)),
0.56/0.50	  inference(negated_conjecture,[status(cth)],[f33])).
0.56/0.50	fof(f33,conjecture,(
0.56/0.50	  mighta(eth,thm)),
0.56/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.56/0.50	fof(f86,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (mighta(X0,X1) | ~status(X2,X3,X1) | ~status(X2,X3,X0)) )),
0.56/0.50	  inference(cnf_transformation,[],[f45])).
0.56/0.50	fof(f45,plain,(
0.56/0.50	  ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))),
0.56/0.50	  inference(ennf_transformation,[],[f44])).
0.56/0.50	fof(f44,plain,(
0.56/0.50	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))),
0.56/0.50	  inference(unused_predicate_definition_removal,[],[f37])).
0.56/0.50	fof(f37,plain,(
0.56/0.50	  ! [X0,X1] : (mighta(X0,X1) <=> ? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)))),
0.56/0.50	  inference(rectify,[],[f31])).
0.56/0.50	fof(f31,axiom,(
0.56/0.50	  ! [X8,X9] : (mighta(X8,X9) <=> ? [X0,X1] : (status(X0,X1,X9) & status(X0,X1,X8)))),
0.56/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.56/0.50	fof(f132,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (status(X0,X0,eth) | ~model(X1,X0) | model(X2,X0) | ~model(X3,X0)) )),
0.56/0.50	  inference(subsumption_resolution,[],[f131,f119])).
0.56/0.50	fof(f119,plain,(
0.56/0.50	  ( ! [X0,X1] : (model(sK2(X0,X0),X0) | status(X0,X0,eth) | ~model(X1,X0)) )),
0.56/0.50	  inference(duplicate_literal_removal,[],[f117])).
0.56/0.50	fof(f117,plain,(
0.56/0.50	  ( ! [X0,X1] : (model(sK2(X0,X0),X0) | model(sK2(X0,X0),X0) | status(X0,X0,eth) | ~model(X1,X0)) )),
0.56/0.50	  inference(factoring,[],[f80])).
0.56/0.50	fof(f80,plain,(
0.56/0.50	  ( ! [X0,X1,X7,X5] : (model(sK2(X0,X1),X1) | model(X5,X0) | model(sK2(X0,X1),X0) | status(X0,X1,eth) | ~model(X7,X0)) )),
0.56/0.50	  inference(cnf_transformation,[],[f54])).
0.56/0.50	fof(f54,plain,(
0.56/0.50	  ! [X0,X1] : (((~model(sK0(X0),X0) & ! [X3] : ((model(X3,X1) | ~model(X3,X0)) & (model(X3,X0) | ~model(X3,X1))) & model(sK1(X0),X0)) | ~status(X0,X1,eth)) & (status(X0,X1,eth) | ! [X5] : model(X5,X0) | ((~model(sK2(X0,X1),X0) | ~model(sK2(X0,X1),X1)) & (model(sK2(X0,X1),X0) | model(sK2(X0,X1),X1))) | ! [X7] : ~model(X7,X0)))),
0.56/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f50,f53,f52,f51])).
0.56/0.50	fof(f51,plain,(
0.56/0.50	  ! [X0] : (? [X2] : ~model(X2,X0) => ~model(sK0(X0),X0))),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f52,plain,(
0.56/0.50	  ! [X0] : (? [X4] : model(X4,X0) => model(sK1(X0),X0))),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f53,plain,(
0.56/0.50	  ! [X0,X1] : (? [X6] : ((~model(X6,X0) | ~model(X6,X1)) & (model(X6,X0) | model(X6,X1))) => ((~model(sK2(X0,X1),X0) | ~model(sK2(X0,X1),X1)) & (model(sK2(X0,X1),X0) | model(sK2(X0,X1),X1))))),
0.56/0.50	  introduced(definition,[],[choice_axiom])).
0.56/0.50	fof(f50,plain,(
0.56/0.50	  ! [X0,X1] : (((? [X2] : ~model(X2,X0) & ! [X3] : ((model(X3,X1) | ~model(X3,X0)) & (model(X3,X0) | ~model(X3,X1))) & ? [X4] : model(X4,X0)) | ~status(X0,X1,eth)) & (status(X0,X1,eth) | ! [X5] : model(X5,X0) | ? [X6] : ((~model(X6,X0) | ~model(X6,X1)) & (model(X6,X0) | model(X6,X1))) | ! [X7] : ~model(X7,X0)))),
0.56/0.50	  inference(rectify,[],[f49])).
0.56/0.50	fof(f49,plain,(
0.56/0.50	  ! [X0,X1] : (((? [X2] : ~model(X2,X0) & ! [X3] : ((model(X3,X1) | ~model(X3,X0)) & (model(X3,X0) | ~model(X3,X1))) & ? [X4] : model(X4,X0)) | ~status(X0,X1,eth)) & (status(X0,X1,eth) | ! [X2] : model(X2,X0) | ? [X3] : ((~model(X3,X0) | ~model(X3,X1)) & (model(X3,X0) | model(X3,X1))) | ! [X4] : ~model(X4,X0)))),
0.56/0.50	  inference(flattening,[],[f48])).
0.56/0.50	fof(f48,plain,(
0.56/0.50	  ! [X0,X1] : (((? [X2] : ~model(X2,X0) & ! [X3] : ((model(X3,X1) | ~model(X3,X0)) & (model(X3,X0) | ~model(X3,X1))) & ? [X4] : model(X4,X0)) | ~status(X0,X1,eth)) & (status(X0,X1,eth) | (! [X2] : model(X2,X0) | ? [X3] : ((~model(X3,X0) | ~model(X3,X1)) & (model(X3,X0) | model(X3,X1))) | ! [X4] : ~model(X4,X0))))),
0.56/0.50	  inference(nnf_transformation,[],[f36])).
0.56/0.50	fof(f36,plain,(
0.56/0.50	  ! [X0,X1] : ((? [X2] : ~model(X2,X0) & ! [X3] : (model(X3,X1) <=> model(X3,X0)) & ? [X4] : model(X4,X0)) <=> status(X0,X1,eth))),
0.56/0.50	  inference(rectify,[],[f3])).
0.56/0.50	fof(f3,axiom,(
0.56/0.50	  ! [X0,X1] : ((? [X3] : ~model(X3,X0) & ! [X4] : (model(X4,X1) <=> model(X4,X0)) & ? [X2] : model(X2,X0)) <=> status(X0,X1,eth))),
0.56/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.56/0.50	fof(f131,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (status(X0,X0,eth) | ~model(X1,X0) | model(X2,X0) | ~model(sK2(X0,X0),X0) | ~model(X3,X0)) )),
0.56/0.50	  inference(duplicate_literal_removal,[],[f129])).
0.56/0.50	fof(f129,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (status(X0,X0,eth) | ~model(X1,X0) | model(X2,X0) | ~model(sK2(X0,X0),X0) | status(X0,X0,eth) | ~model(X3,X0)) )),
0.56/0.50	  inference(resolution,[],[f119,f81])).
0.56/0.50	fof(f81,plain,(
0.56/0.50	  ( ! [X0,X1,X7,X5] : (~model(sK2(X0,X1),X1) | model(X5,X0) | ~model(sK2(X0,X1),X0) | status(X0,X1,eth) | ~model(X7,X0)) )),
0.56/0.50	  inference(cnf_transformation,[],[f54])).
0.56/0.50	fof(f153,plain,(
0.56/0.50	  ( ! [X2,X3,X0,X1] : (model(X0,X1) | ~model(X2,X1) | ~model(X3,X1) | model(sK3(X1,X1),X1)) )),
0.56/0.50	  inference(resolution,[],[f141,f88])).
0.56/0.50	fof(f88,plain,(
0.56/0.50	  ( ! [X0,X1] : (status(X0,X1,thm) | model(sK3(X0,X1),X0)) )),
0.56/0.50	  inference(cnf_transformation,[],[f58])).
0.56/0.50	% SZS output end Proof for theBenchmark
0.56/0.50	% (2492605)------------------------------
0.56/0.50	% (2492605)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.56/0.50	% (2492605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.56/0.50	% (2492605)Termination reason: Refutation
0.56/0.50	
0.56/0.50	% (2492605)Time elapsed: 0.005 s
0.56/0.50	% (2492605)Peak memory usage: 12 MB
0.56/0.50	% (2492605)Instructions burned: 6 (million)
0.56/0.50	% (2492605)------------------------------
0.56/0.50	% (2492605)------------------------------
0.56/0.50	% (2492597)Success in time 0.104 s
0.56/0.51	EOF