0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.12	% 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
0.12/0.33	% DateTime   : Wed Jul 30 01:59:19 EDT 2025
0.12/0.33	% CPUTime    : 
0.21/0.35	This is a FOF_ problem
0.21/0.36	Running first-order theorem proving
0.21/0.36	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.42	% (11726)Running in auto input_syntax mode. Trying TPTP
0.21/0.42	% (11732)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=4099035524:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi)
0.21/0.43	% (11732)First to succeed.
0.21/0.43	% (11726)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (11728)lrs+1011_1_sp=occurrence:random_seed=3765675689:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi)
0.21/0.43	% (11732)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11726"
0.21/0.43	% (11726)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (11732)Refutation found. Thanks to Tanya!
0.21/0.43	% SZS status Theorem for theBenchmark
0.21/0.43	% SZS output start Proof for theBenchmark
0.21/0.43	fof(f517,plain,(
0.21/0.43	  $false),
0.21/0.43	  inference(subsumption_resolution,[],[f509,f77])).
0.21/0.43	fof(f77,plain,(
0.21/0.43	  ~mighta(eqv,thm)),
0.21/0.43	  inference(cnf_transformation,[],[f35])).
0.21/0.43	fof(f35,plain,(
0.21/0.43	  ~mighta(eqv,thm)),
0.21/0.43	  inference(flattening,[],[f34])).
0.21/0.43	fof(f34,negated_conjecture,(
0.21/0.43	  ~mighta(eqv,thm)),
0.21/0.43	  inference(negated_conjecture,[status(cth)],[f33])).
0.21/0.43	fof(f33,conjecture,(
0.21/0.43	  mighta(eqv,thm)),
0.21/0.43	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.43	fof(f509,plain,(
0.21/0.43	  mighta(eqv,thm)),
0.21/0.43	  inference(resolution,[],[f162,f116])).
0.21/0.43	fof(f116,plain,(
0.21/0.43	  ( ! [X0,X1] : (~status(X1,sK7,X0) | mighta(X0,thm)) )),
0.21/0.43	  inference(resolution,[],[f81,f112])).
0.21/0.43	fof(f112,plain,(
0.21/0.43	  ( ! [X0] : (status(X0,sK7,thm)) )),
0.21/0.43	  inference(resolution,[],[f79,f90])).
0.21/0.43	fof(f90,plain,(
0.21/0.43	  ( ! [X1] : (model(X1,sK7)) )),
0.21/0.43	  inference(cnf_transformation,[],[f62])).
0.21/0.43	fof(f62,plain,(
0.21/0.43	  ! [X1] : model(X1,sK7)),
0.21/0.43	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f38,f61])).
0.21/0.43	fof(f61,plain,(
0.21/0.43	  ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK7)),
0.21/0.43	  introduced(definition,[],[choice_axiom])).
0.21/0.43	fof(f38,plain,(
0.21/0.43	  ? [X0] : ! [X1] : model(X1,X0)),
0.21/0.43	  inference(rectify,[],[f27])).
0.21/0.43	fof(f27,axiom,(
0.21/0.43	  ? [X8] : ! [X9] : model(X9,X8)),
0.21/0.43	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.43	fof(f79,plain,(
0.21/0.43	  ( ! [X0,X1] : (~model(sK0(X0,X1),X1) | status(X0,X1,thm)) )),
0.21/0.43	  inference(cnf_transformation,[],[f50])).
0.21/0.43	fof(f50,plain,(
0.21/0.43	  ! [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))))),
0.21/0.43	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f49])).
0.21/0.43	fof(f49,plain,(
0.21/0.43	  ! [X0,X1] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK0(X0,X1),X1) & model(sK0(X0,X1),X0)))),
0.21/0.43	  introduced(definition,[],[choice_axiom])).
0.21/0.43	fof(f48,plain,(
0.21/0.43	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))),
0.21/0.43	  inference(rectify,[],[f47])).
0.21/0.43	fof(f47,plain,(
0.21/0.43	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))),
0.21/0.43	  inference(nnf_transformation,[],[f44])).
0.21/0.43	fof(f44,plain,(
0.21/0.43	  ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))),
0.21/0.43	  inference(ennf_transformation,[],[f3])).
0.21/0.43	fof(f3,axiom,(
0.21/0.43	  ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))),
0.21/0.43	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.43	fof(f81,plain,(
0.21/0.43	  ( ! [X2,X3,X0,X1] : (~status(X2,X3,X1) | mighta(X0,X1) | ~status(X2,X3,X0)) )),
0.21/0.43	  inference(cnf_transformation,[],[f45])).
0.21/0.43	fof(f45,plain,(
0.21/0.43	  ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))),
0.21/0.43	  inference(ennf_transformation,[],[f43])).
0.21/0.43	fof(f43,plain,(
0.21/0.43	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))),
0.21/0.43	  inference(unused_predicate_definition_removal,[],[f36])).
0.21/0.43	fof(f36,plain,(
0.21/0.43	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) <=> mighta(X0,X1))),
0.21/0.43	  inference(rectify,[],[f25])).
0.21/0.43	fof(f25,axiom,(
0.21/0.43	  ! [X6,X7] : (? [X0,X1] : (status(X0,X1,X7) & status(X0,X1,X6)) <=> mighta(X6,X7))),
0.21/0.43	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.43	fof(f162,plain,(
0.21/0.43	  status(sK7,sK7,eqv)),
0.21/0.43	  inference(subsumption_resolution,[],[f161,f90])).
0.21/0.43	fof(f161,plain,(
0.21/0.43	  ( ! [X0] : (status(sK7,sK7,eqv) | ~model(X0,sK7)) )),
0.21/0.43	  inference(resolution,[],[f133,f90])).
0.21/0.43	fof(f133,plain,(
0.21/0.43	  ( ! [X0,X1] : (~model(sK1(X0,sK7),X0) | status(X0,sK7,eqv) | ~model(X1,X0)) )),
0.21/0.43	  inference(resolution,[],[f86,f90])).
0.21/0.43	fof(f86,plain,(
0.21/0.43	  ( ! [X3,X0,X1] : (~model(sK1(X0,X1),X1) | ~model(sK1(X0,X1),X0) | status(X0,X1,eqv) | ~model(X3,X0)) )),
0.21/0.43	  inference(cnf_transformation,[],[f56])).
0.21/0.43	fof(f56,plain,(
0.21/0.43	  ! [X0,X1] : ((status(X0,X1,eqv) | ((~model(sK1(X0,X1),X0) | ~model(sK1(X0,X1),X1)) & (model(sK1(X0,X1),X0) | model(sK1(X0,X1),X1))) | ! [X3] : ~model(X3,X0)) & ((! [X4] : ((model(X4,X1) | ~model(X4,X0)) & (model(X4,X0) | ~model(X4,X1))) & model(sK2(X0),X0)) | ~status(X0,X1,eqv)))),
0.21/0.43	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f53,f55,f54])).
0.21/0.43	fof(f54,plain,(
0.21/0.43	  ! [X0,X1] : (? [X2] : ((~model(X2,X0) | ~model(X2,X1)) & (model(X2,X0) | model(X2,X1))) => ((~model(sK1(X0,X1),X0) | ~model(sK1(X0,X1),X1)) & (model(sK1(X0,X1),X0) | model(sK1(X0,X1),X1))))),
0.21/0.43	  introduced(definition,[],[choice_axiom])).
0.21/0.43	fof(f55,plain,(
0.21/0.43	  ! [X0] : (? [X5] : model(X5,X0) => model(sK2(X0),X0))),
0.21/0.43	  introduced(definition,[],[choice_axiom])).
0.21/0.43	fof(f53,plain,(
0.21/0.43	  ! [X0,X1] : ((status(X0,X1,eqv) | ? [X2] : ((~model(X2,X0) | ~model(X2,X1)) & (model(X2,X0) | model(X2,X1))) | ! [X3] : ~model(X3,X0)) & ((! [X4] : ((model(X4,X1) | ~model(X4,X0)) & (model(X4,X0) | ~model(X4,X1))) & ? [X5] : model(X5,X0)) | ~status(X0,X1,eqv)))),
0.21/0.43	  inference(rectify,[],[f52])).
0.21/0.43	fof(f52,plain,(
0.21/0.43	  ! [X0,X1] : ((status(X0,X1,eqv) | ? [X2] : ((~model(X2,X0) | ~model(X2,X1)) & (model(X2,X0) | model(X2,X1))) | ! [X3] : ~model(X3,X0)) & ((! [X2] : ((model(X2,X1) | ~model(X2,X0)) & (model(X2,X0) | ~model(X2,X1))) & ? [X3] : model(X3,X0)) | ~status(X0,X1,eqv)))),
0.21/0.43	  inference(flattening,[],[f51])).
0.21/0.43	fof(f51,plain,(
0.21/0.43	  ! [X0,X1] : ((status(X0,X1,eqv) | (? [X2] : ((~model(X2,X0) | ~model(X2,X1)) & (model(X2,X0) | model(X2,X1))) | ! [X3] : ~model(X3,X0))) & ((! [X2] : ((model(X2,X1) | ~model(X2,X0)) & (model(X2,X0) | ~model(X2,X1))) & ? [X3] : model(X3,X0)) | ~status(X0,X1,eqv)))),
0.21/0.43	  inference(nnf_transformation,[],[f37])).
0.21/0.43	fof(f37,plain,(
0.21/0.43	  ! [X0,X1] : (status(X0,X1,eqv) <=> (! [X2] : (model(X2,X1) <=> model(X2,X0)) & ? [X3] : model(X3,X0)))),
0.21/0.43	  inference(rectify,[],[f10])).
0.21/0.43	fof(f10,axiom,(
0.21/0.43	  ! [X0,X1] : (status(X0,X1,eqv) <=> (! [X3] : (model(X3,X1) <=> model(X3,X0)) & ? [X2] : model(X2,X0)))),
0.21/0.43	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.43	% SZS output end Proof for theBenchmark
0.21/0.43	% (11732)------------------------------
0.21/0.43	% (11732)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.43	% (11732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.43	% (11732)Termination reason: Refutation
0.21/0.43	
0.21/0.43	% (11732)Time elapsed: 0.005 s
0.21/0.43	% (11732)Peak memory usage: 8 MB
0.21/0.43	% (11732)Instructions burned: 12 (million)
0.21/0.43	% (11732)------------------------------
0.21/0.43	% (11732)------------------------------
0.21/0.43	% (11726)Success in time 0.066 s
0.21/0.43	EOF