0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -t %d %s
0.02/0.23	% Computer   : n148.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 04:23:40 CDT 2018
0.02/0.23	% CPUTime    : 
0.06/0.27	% dis-11_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.06/0.29	% Refutation found. Thanks to Tanya!
0.06/0.29	% SZS status Theorem for theBenchmark
0.06/0.29	% SZS output start Proof for theBenchmark
0.06/0.29	fof(f1,axiom,(
0.06/0.29	  ? [X0] : (sorti1(X0) & ! [X1] : (sorti1(X1) => op1(X1,X1) = X0))),
0.06/0.29	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
0.06/0.29	fof(f3,axiom,(
0.06/0.29	  ~? [X0] : (! [X1] : (sorti2(X1) => op2(X1,X1) = X0) & sorti2(X0))),
0.06/0.29	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)).
0.06/0.29	fof(f4,conjecture,(
0.06/0.29	  (! [X1] : (sorti2(X1) => sorti1(j(X1))) & ! [X0] : (sorti1(X0) => sorti2(h(X0)))) => ~(! [X7] : (sorti1(X7) => j(h(X7)) = X7) & ! [X6] : (sorti2(X6) => h(j(X6)) = X6) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X2] : (sorti1(X2) => ! [X3] : (sorti1(X3) => op2(h(X2),h(X3)) = h(op1(X2,X3)))))),
0.06/0.29	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
0.06/0.29	fof(f5,negated_conjecture,(
0.06/0.29	  ~((! [X1] : (sorti2(X1) => sorti1(j(X1))) & ! [X0] : (sorti1(X0) => sorti2(h(X0)))) => ~(! [X7] : (sorti1(X7) => j(h(X7)) = X7) & ! [X6] : (sorti2(X6) => h(j(X6)) = X6) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X2] : (sorti1(X2) => ! [X3] : (sorti1(X3) => op2(h(X2),h(X3)) = h(op1(X2,X3))))))),
0.06/0.29	  inference(negated_conjecture,[],[f4])).
0.06/0.29	fof(f7,plain,(
0.06/0.29	  ~((! [X0] : (sorti2(X0) => sorti1(j(X0))) & ! [X1] : (sorti1(X1) => sorti2(h(X1)))) => ~(! [X2] : (sorti1(X2) => j(h(X2)) = X2) & ! [X3] : (sorti2(X3) => h(j(X3)) = X3) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X6] : (sorti1(X6) => ! [X7] : (sorti1(X7) => op2(h(X6),h(X7)) = h(op1(X6,X7))))))),
0.06/0.29	  inference(rectify,[],[f5])).
0.06/0.29	fof(f8,plain,(
0.06/0.29	  (! [X2] : (j(h(X2)) = X2 | ~sorti1(X2)) & ! [X3] : (h(j(X3)) = X3 | ~sorti2(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6))) & (! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1)))),
0.06/0.29	  inference(ennf_transformation,[],[f7])).
0.06/0.29	fof(f9,plain,(
0.06/0.29	  ! [X2] : (j(h(X2)) = X2 | ~sorti1(X2)) & ! [X3] : (h(j(X3)) = X3 | ~sorti2(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6)) & ! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1))),
0.06/0.29	  inference(flattening,[],[f8])).
0.06/0.29	fof(f10,plain,(
0.06/0.29	  ? [X0] : (sorti1(X0) & ! [X1] : (op1(X1,X1) = X0 | ~sorti1(X1)))),
0.06/0.29	  inference(ennf_transformation,[],[f1])).
0.06/0.29	fof(f11,plain,(
0.06/0.29	  ! [X0] : (? [X1] : (op2(X1,X1) != X0 & sorti2(X1)) | ~sorti2(X0))),
0.06/0.29	  inference(ennf_transformation,[],[f3])).
0.06/0.29	fof(f14,plain,(
0.06/0.29	  ! [X0] : (j(h(X0)) = X0 | ~sorti1(X0)) & ! [X1] : (h(j(X1)) = X1 | ~sorti2(X1)) & ! [X2] : (! [X3] : (op1(j(X2),j(X3)) = j(op2(X2,X3)) | ~sorti2(X3)) | ~sorti2(X2)) & ! [X4] : (! [X5] : (op2(h(X4),h(X5)) = h(op1(X4,X5)) | ~sorti1(X5)) | ~sorti1(X4)) & ! [X6] : (sorti1(j(X6)) | ~sorti2(X6)) & ! [X7] : (sorti2(h(X7)) | ~sorti1(X7))),
0.06/0.29	  inference(rectify,[],[f9])).
0.06/0.29	fof(f15,plain,(
0.06/0.29	  ? [X0] : (sorti1(X0) & ! [X1] : (op1(X1,X1) = X0 | ~sorti1(X1))) => (sorti1(sK0) & ! [X1] : (op1(X1,X1) = sK0 | ~sorti1(X1)))),
0.06/0.29	  introduced(choice_axiom,[])).
0.06/0.29	fof(f16,plain,(
0.06/0.29	  sorti1(sK0) & ! [X1] : (op1(X1,X1) = sK0 | ~sorti1(X1))),
0.06/0.29	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f15])).
0.06/0.29	fof(f17,plain,(
0.06/0.29	  ! [X0] : (? [X1] : (op2(X1,X1) != X0 & sorti2(X1)) => (op2(sK1(X0),sK1(X0)) != X0 & sorti2(sK1(X0))))),
0.06/0.29	  introduced(choice_axiom,[])).
0.06/0.29	fof(f18,plain,(
0.06/0.29	  ! [X0] : ((op2(sK1(X0),sK1(X0)) != X0 & sorti2(sK1(X0))) | ~sorti2(X0))),
0.06/0.29	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f17])).
0.06/0.29	fof(f19,plain,(
0.06/0.29	  ( ! [X7] : (sorti2(h(X7)) | ~sorti1(X7)) )),
0.06/0.29	  inference(cnf_transformation,[],[f14])).
0.06/0.29	fof(f20,plain,(
0.06/0.29	  ( ! [X6] : (sorti1(j(X6)) | ~sorti2(X6)) )),
0.06/0.29	  inference(cnf_transformation,[],[f14])).
0.06/0.29	fof(f21,plain,(
0.06/0.29	  ( ! [X4,X5] : (~sorti1(X5) | ~sorti1(X4) | op2(h(X4),h(X5)) = h(op1(X4,X5))) )),
0.06/0.29	  inference(cnf_transformation,[],[f14])).
0.06/0.29	fof(f23,plain,(
0.06/0.29	  ( ! [X1] : (~sorti2(X1) | h(j(X1)) = X1) )),
0.06/0.29	  inference(cnf_transformation,[],[f14])).
0.06/0.29	fof(f25,plain,(
0.06/0.29	  ( ! [X1] : (~sorti1(X1) | op1(X1,X1) = sK0) )),
0.06/0.29	  inference(cnf_transformation,[],[f16])).
0.06/0.29	fof(f26,plain,(
0.06/0.29	  sorti1(sK0)),
0.06/0.29	  inference(cnf_transformation,[],[f16])).
0.06/0.29	fof(f27,plain,(
0.06/0.29	  ( ! [X0] : (sorti2(sK1(X0)) | ~sorti2(X0)) )),
0.06/0.29	  inference(cnf_transformation,[],[f18])).
0.06/0.29	fof(f28,plain,(
0.06/0.29	  ( ! [X0] : (~sorti2(X0) | op2(sK1(X0),sK1(X0)) != X0) )),
0.06/0.29	  inference(cnf_transformation,[],[f18])).
0.06/0.29	fof(f31,plain,(
0.06/0.29	  ( ! [X0] : (op2(sK1(h(X0)),sK1(h(X0))) != h(X0) | ~sorti1(X0)) )),
0.06/0.29	  inference(resolution,[],[f19,f28])).
0.06/0.29	fof(f32,plain,(
0.06/0.29	  ( ! [X0] : (~sorti2(X0) | op1(j(X0),j(X0)) = sK0) )),
0.06/0.29	  inference(resolution,[],[f20,f25])).
0.06/0.29	fof(f33,plain,(
0.06/0.29	  ( ! [X0] : (~sorti2(X0) | h(j(sK1(X0))) = sK1(X0)) )),
0.06/0.29	  inference(resolution,[],[f23,f27])).
0.06/0.29	fof(f46,plain,(
0.06/0.29	  ( ! [X0] : (~sorti1(X0) | op2(h(X0),h(X0)) = h(op1(X0,X0))) )),
0.06/0.29	  inference(factoring,[],[f21])).
0.06/0.29	fof(f52,plain,(
0.06/0.29	  ( ! [X3] : (~sorti1(X3) | h(j(sK1(h(X3)))) = sK1(h(X3))) )),
0.06/0.29	  inference(resolution,[],[f33,f19])).
0.06/0.29	fof(f78,plain,(
0.06/0.29	  h(j(sK1(h(sK0)))) = sK1(h(sK0))),
0.06/0.29	  inference(resolution,[],[f52,f26])).
0.06/0.29	fof(f88,plain,(
0.06/0.29	  sorti2(sK1(h(sK0))) | ~sorti1(j(sK1(h(sK0))))),
0.06/0.29	  inference(superposition,[],[f19,f78])).
0.06/0.29	fof(f93,plain,(
0.06/0.29	  spl2_1 <=> ~sorti1(j(sK1(h(sK0))))),
0.06/0.29	  introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
0.06/0.29	fof(f94,plain,(
0.06/0.29	  ~sorti1(j(sK1(h(sK0)))) | ~spl2_1),
0.06/0.29	  inference(avatar_component_clause,[],[f93])).
0.06/0.29	fof(f99,plain,(
0.06/0.29	  spl2_2 <=> sorti2(sK1(h(sK0)))),
0.06/0.29	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
0.06/0.29	fof(f100,plain,(
0.06/0.29	  sorti2(sK1(h(sK0))) | ~spl2_2),
0.06/0.29	  inference(avatar_component_clause,[],[f99])).
0.06/0.29	fof(f101,plain,(
0.06/0.29	  ~spl2_1 | spl2_2),
0.06/0.29	  inference(avatar_split_clause,[],[f88,f99,f93])).
0.06/0.29	fof(f106,plain,(
0.06/0.29	  ~sorti2(sK1(h(sK0))) | ~spl2_1),
0.06/0.29	  inference(resolution,[],[f94,f20])).
0.06/0.29	fof(f107,plain,(
0.06/0.29	  ~sorti2(h(sK0)) | ~spl2_1),
0.06/0.29	  inference(resolution,[],[f106,f27])).
0.06/0.29	fof(f108,plain,(
0.06/0.29	  ~sorti1(sK0) | ~spl2_1),
0.06/0.29	  inference(resolution,[],[f107,f19])).
0.06/0.29	fof(f109,plain,(
0.06/0.29	  $false | ~spl2_1),
0.06/0.29	  inference(subsumption_resolution,[],[f108,f26])).
0.06/0.29	fof(f110,plain,(
0.06/0.29	  spl2_1),
0.06/0.29	  inference(avatar_contradiction_clause,[],[f109])).
0.06/0.29	fof(f113,plain,(
0.06/0.29	  ( ! [X2] : (~sorti2(X2) | op2(h(j(X2)),h(j(X2))) = h(op1(j(X2),j(X2)))) )),
0.06/0.29	  inference(resolution,[],[f46,f20])).
0.06/0.29	fof(f119,plain,(
0.06/0.29	  op1(j(sK1(h(sK0))),j(sK1(h(sK0)))) = sK0 | ~spl2_2),
0.06/0.29	  inference(resolution,[],[f100,f32])).
0.06/0.29	fof(f1021,plain,(
0.06/0.29	  op2(h(j(sK1(h(sK0)))),h(j(sK1(h(sK0))))) = h(op1(j(sK1(h(sK0))),j(sK1(h(sK0))))) | ~spl2_2),
0.06/0.29	  inference(resolution,[],[f113,f100])).
0.06/0.29	fof(f1028,plain,(
0.06/0.29	  op2(h(j(sK1(h(sK0)))),h(j(sK1(h(sK0))))) = h(sK0) | ~spl2_2),
0.06/0.29	  inference(forward_demodulation,[],[f1021,f119])).
0.06/0.29	fof(f1029,plain,(
0.06/0.29	  op2(sK1(h(sK0)),sK1(h(sK0))) = h(sK0) | ~spl2_2),
0.06/0.29	  inference(forward_demodulation,[],[f1028,f78])).
0.06/0.29	fof(f1037,plain,(
0.06/0.29	  h(sK0) != h(sK0) | ~sorti1(sK0) | ~spl2_2),
0.06/0.29	  inference(superposition,[],[f31,f1029])).
0.06/0.29	fof(f1040,plain,(
0.06/0.29	  ~sorti1(sK0) | ~spl2_2),
0.06/0.29	  inference(trivial_inequality_removal,[],[f1037])).
0.06/0.29	fof(f1041,plain,(
0.06/0.29	  $false | ~spl2_2),
0.06/0.29	  inference(subsumption_resolution,[],[f1040,f26])).
0.06/0.29	fof(f1042,plain,(
0.06/0.29	  ~spl2_2),
0.06/0.29	  inference(avatar_contradiction_clause,[],[f1041])).
0.06/0.29	fof(f1044,plain,(
0.06/0.29	  $false),
0.06/0.29	  inference(avatar_sat_refutation,[],[f101,f110,f1042])).
0.06/0.29	% SZS output end Proof for theBenchmark
0.06/0.29	% ------------------------------
0.06/0.29	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.06/0.29	% Termination reason: Refutation
0.06/0.29	
0.06/0.29	% Memory used [KB]: 10234
0.06/0.29	% Time elapsed: 0.022 s
0.06/0.29	% ------------------------------
0.06/0.29	% ------------------------------
0.06/0.29	% Success in time 0.055 s
0.06/0.30	EOF