0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer   : n020.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 02:03:34 EDT 2025
0.12/0.33	% CPUTime    : 
0.12/0.36	This is a FOF_ problem
0.12/0.36	Running first-order theorem proving
0.12/0.36	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox/benchmark/theBenchmark.p
0.21/0.44	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (11159)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=977323193:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi)
0.21/0.44	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (11156)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=1421642603:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi)
0.21/0.44	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (11155)lrs+1011_1_sp=occurrence:random_seed=101841875:st=6:sd=4:ss=included_2399 on theBenchmark for (2399ds/0Mi)
0.21/0.44	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (11160)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3472663506:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi)
0.21/0.44	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (11158)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=3588244738:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi)
0.21/0.44	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (11161)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=3568557294:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi)
0.21/0.45	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (11157)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=1486598419:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi)
0.21/0.46	% (11159)Refutation not found, incomplete strategy% (11159)------------------------------
0.21/0.46	% (11159)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (11159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (11159)Termination reason: Refutation not found, incomplete strategy
0.21/0.46	
0.21/0.46	% (11159)Time elapsed: 0.016 s
0.21/0.46	% (11159)Peak memory usage: 8 MB
0.21/0.46	% (11159)Instructions burned: 4 (million)
0.21/0.46	% (11159)------------------------------
0.21/0.46	% (11159)------------------------------
0.21/0.46	% (11161)Refutation not found, incomplete strategy% (11161)------------------------------
0.21/0.46	% (11161)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (11161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (11161)Termination reason: Refutation not found, incomplete strategy
0.21/0.46	
0.21/0.46	% (11161)Time elapsed: 0.018 s
0.21/0.46	% (11161)Peak memory usage: 8 MB
0.21/0.46	% (11161)Instructions burned: 30 (million)
0.21/0.46	% (11161)------------------------------
0.21/0.46	% (11161)------------------------------
0.21/0.47	% (11155)First to succeed.
0.21/0.47	% (11160)Also succeeded, but the first one will report.
0.21/0.47	% (11155)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11153"
0.21/0.47	% (11153)Running in auto input_syntax mode. Trying TPTP
0.21/0.47	% (11155)Refutation found. Thanks to Tanya!
0.21/0.47	% SZS status Theorem for theBenchmark
0.21/0.47	% SZS output start Proof for theBenchmark
0.21/0.47	fof(f1335,plain,(
0.21/0.47	  $false),
0.21/0.47	  inference(avatar_sat_refutation,[],[f1218,f1236,f1254,f1268,f1331])).
0.21/0.47	fof(f1331,plain,(
0.21/0.47	  ~spl14_50),
0.21/0.47	  inference(avatar_contradiction_clause,[],[f1330])).
0.21/0.47	fof(f1330,plain,(
0.21/0.47	  $false | ~spl14_50),
0.21/0.47	  inference(subsumption_resolution,[],[f1302,f186])).
0.21/0.47	fof(f186,plain,(
0.21/0.47	  ( ! [X0] : (~less(X0,n0)) )),
0.21/0.47	  inference(cnf_transformation,[],[f86])).
0.21/0.47	fof(f86,plain,(
0.21/0.47	  ! [X0] : ~less(X0,n0)),
0.21/0.47	  inference(ennf_transformation,[],[f57])).
0.21/0.47	fof(f57,plain,(
0.21/0.47	  ~? [X0] : less(X0,n0)),
0.21/0.47	  inference(rectify,[],[f35])).
0.21/0.47	fof(f35,axiom,(
0.21/0.47	  ~? [X8] : less(X8,n0)),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f1302,plain,(
0.21/0.47	  less(n1,n0) | ~spl14_50),
0.21/0.47	  inference(superposition,[],[f329,f1253])).
0.21/0.47	fof(f1253,plain,(
0.21/0.47	  n0 = n2 | ~spl14_50),
0.21/0.47	  inference(avatar_component_clause,[],[f1251])).
0.21/0.47	fof(f1251,definition,(
0.21/0.47	  spl14_50 <=> n0 = n2),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl14_50])],[avatar_definition])).
0.21/0.47	fof(f329,plain,(
0.21/0.47	  less(n1,n2)),
0.21/0.47	  inference(resolution,[],[f168,f289])).
0.21/0.47	fof(f289,plain,(
0.21/0.47	  ( ! [X1] : (less_or_equal(X1,X1)) )),
0.21/0.47	  inference(equality_resolution,[],[f189])).
0.21/0.47	fof(f189,plain,(
0.21/0.47	  ( ! [X0,X1] : (less_or_equal(X0,X1) | X0 != X1) )),
0.21/0.47	  inference(cnf_transformation,[],[f122])).
0.21/0.47	fof(f122,plain,(
0.21/0.47	  ! [X0,X1] : ((less_or_equal(X0,X1) | (X0 != X1 & ~less(X0,X1))) & (X0 = X1 | less(X0,X1) | ~less_or_equal(X0,X1)))),
0.21/0.47	  inference(flattening,[],[f121])).
0.21/0.47	fof(f121,plain,(
0.21/0.47	  ! [X0,X1] : ((less_or_equal(X0,X1) | (X0 != X1 & ~less(X0,X1))) & ((X0 = X1 | less(X0,X1)) | ~less_or_equal(X0,X1)))),
0.21/0.47	  inference(nnf_transformation,[],[f58])).
0.21/0.47	fof(f58,plain,(
0.21/0.47	  ! [X0,X1] : (less_or_equal(X0,X1) <=> (X0 = X1 | less(X0,X1)))),
0.21/0.47	  inference(rectify,[],[f36])).
0.21/0.47	fof(f36,axiom,(
0.21/0.47	  ! [X8,X9] : (less_or_equal(X8,X9) <=> (X8 = X9 | less(X8,X9)))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f168,plain,(
0.21/0.47	  ( ! [X0] : (~less_or_equal(X0,n1) | less(X0,n2)) )),
0.21/0.47	  inference(cnf_transformation,[],[f116])).
0.21/0.47	fof(f116,plain,(
0.21/0.47	  ! [X0] : ((less_or_equal(X0,n1) | ~less(X0,n2)) & (less(X0,n2) | ~less_or_equal(X0,n1)))),
0.21/0.47	  inference(nnf_transformation,[],[f50])).
0.21/0.47	fof(f50,plain,(
0.21/0.47	  ! [X0] : (less_or_equal(X0,n1) <=> less(X0,n2))),
0.21/0.47	  inference(rectify,[],[f21])).
0.21/0.47	fof(f21,axiom,(
0.21/0.47	  ! [X8] : (less_or_equal(X8,n1) <=> less(X8,n2))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f1268,plain,(
0.21/0.47	  ~spl14_47 | ~spl14_48 | ~spl14_49),
0.21/0.47	  inference(avatar_contradiction_clause,[],[f1267])).
0.21/0.47	fof(f1267,plain,(
0.21/0.47	  $false | (~spl14_47 | ~spl14_48 | ~spl14_49)),
0.21/0.47	  inference(subsumption_resolution,[],[f1266,f195])).
0.21/0.47	fof(f195,plain,(
0.21/0.47	  ~holdsAt(spinning,n0)),
0.21/0.47	  inference(cnf_transformation,[],[f40])).
0.21/0.47	fof(f40,axiom,(
0.21/0.47	  ~holdsAt(spinning,n0)),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f1266,plain,(
0.21/0.47	  holdsAt(spinning,n0) | (~spl14_47 | ~spl14_48 | ~spl14_49)),
0.21/0.47	  inference(forward_demodulation,[],[f1264,f1249])).
0.21/0.47	fof(f1249,plain,(
0.21/0.47	  n0 = n1 | ~spl14_49),
0.21/0.47	  inference(avatar_component_clause,[],[f1247])).
0.21/0.47	fof(f1247,definition,(
0.21/0.47	  spl14_49 <=> n0 = n1),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl14_49])],[avatar_definition])).
0.21/0.47	fof(f1264,plain,(
0.21/0.47	  holdsAt(spinning,n1) | (~spl14_47 | ~spl14_48)),
0.21/0.47	  inference(forward_demodulation,[],[f1261,f180])).
0.21/0.47	fof(f180,plain,(
0.21/0.47	  n1 = plus(n0,n1)),
0.21/0.47	  inference(cnf_transformation,[],[f31])).
0.21/0.47	fof(f31,axiom,(
0.21/0.47	  n1 = plus(n0,n1)),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f1261,plain,(
0.21/0.47	  holdsAt(spinning,plus(n0,n1)) | (~spl14_47 | ~spl14_48)),
0.21/0.47	  inference(subsumption_resolution,[],[f1257,f1216])).
0.21/0.47	fof(f1216,plain,(
0.21/0.47	  happens(push,n0) | ~spl14_48),
0.21/0.47	  inference(avatar_component_clause,[],[f1215])).
0.21/0.47	fof(f1215,definition,(
0.21/0.47	  spl14_48 <=> happens(push,n0)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl14_48])],[avatar_definition])).
0.21/0.47	fof(f1257,plain,(
0.21/0.47	  holdsAt(spinning,plus(n0,n1)) | ~happens(push,n0) | ~spl14_47),
0.21/0.47	  inference(resolution,[],[f774,f1213])).
0.21/0.47	fof(f1213,plain,(
0.21/0.47	  happens(pull,n0) | ~spl14_47),
0.21/0.47	  inference(avatar_component_clause,[],[f1211])).
0.21/0.47	fof(f1211,definition,(
0.21/0.47	  spl14_47 <=> happens(pull,n0)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl14_47])],[avatar_definition])).
0.21/0.47	fof(f774,plain,(
0.21/0.47	  ( ! [X0] : (~happens(pull,X0) | holdsAt(spinning,plus(X0,n1)) | ~happens(push,X0)) )),
0.21/0.47	  inference(resolution,[],[f518,f314])).
0.21/0.47	fof(f314,plain,(
0.21/0.47	  ( ! [X0] : (sP8(X0,spinning,pull) | ~happens(push,X0)) )),
0.21/0.47	  inference(equality_resolution,[],[f313])).
0.21/0.47	fof(f313,plain,(
0.21/0.47	  ( ! [X2,X0] : (sP8(X0,spinning,X2) | ~happens(push,X0) | pull != X2) )),
0.21/0.47	  inference(equality_resolution,[],[f278])).
0.21/0.47	fof(f278,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (sP8(X0,X1,X2) | ~happens(push,X0) | spinning != X1 | pull != X2) )),
0.21/0.47	  inference(cnf_transformation,[],[f165])).
0.21/0.47	fof(f165,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((sP8(X0,X1,X2) | ~happens(push,X0) | spinning != X1 | pull != X2) & ((happens(push,X0) & spinning = X1 & pull = X2) | ~sP8(X0,X1,X2)))),
0.21/0.47	  inference(rectify,[],[f164])).
0.21/0.47	fof(f164,plain,(
0.21/0.47	  ! [X2,X1,X0] : ((sP8(X2,X1,X0) | ~happens(push,X2) | spinning != X1 | pull != X0) & ((happens(push,X2) & spinning = X1 & pull = X0) | ~sP8(X2,X1,X0)))),
0.21/0.47	  inference(flattening,[],[f163])).
0.21/0.47	fof(f163,plain,(
0.21/0.47	  ! [X2,X1,X0] : ((sP8(X2,X1,X0) | (~happens(push,X2) | spinning != X1 | pull != X0)) & ((happens(push,X2) & spinning = X1 & pull = X0) | ~sP8(X2,X1,X0)))),
0.21/0.47	  inference(nnf_transformation,[],[f113])).
0.21/0.47	fof(f113,plain,(
0.21/0.47	  ! [X2,X1,X0] : (sP8(X2,X1,X0) <=> (happens(push,X2) & spinning = X1 & pull = X0))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP8])],[predicate_definition_introduction])).
0.21/0.47	fof(f518,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (~sP8(X1,X0,X2) | ~happens(X2,X1) | holdsAt(X0,plus(X1,n1))) )),
0.21/0.47	  inference(resolution,[],[f229,f279])).
0.21/0.47	fof(f279,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (initiates(X0,X1,X2) | ~sP8(X2,X1,X0)) )),
0.21/0.47	  inference(cnf_transformation,[],[f167])).
0.21/0.47	fof(f167,plain,(
0.21/0.47	  ! [X0,X1,X2] : (((~happens(pull,X2) & forwards = X1 & push = X0) | sP9(X0,X2,X1) | sP8(X2,X1,X0) | ~initiates(X0,X1,X2)) & (initiates(X0,X1,X2) | ((happens(pull,X2) | forwards != X1 | push != X0) & ~sP9(X0,X2,X1) & ~sP8(X2,X1,X0))))),
0.21/0.47	  inference(flattening,[],[f166])).
0.21/0.47	fof(f166,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((((~happens(pull,X2) & forwards = X1 & push = X0) | sP9(X0,X2,X1) | sP8(X2,X1,X0)) | ~initiates(X0,X1,X2)) & (initiates(X0,X1,X2) | ((happens(pull,X2) | forwards != X1 | push != X0) & ~sP9(X0,X2,X1) & ~sP8(X2,X1,X0))))),
0.21/0.47	  inference(nnf_transformation,[],[f115])).
0.21/0.47	fof(f115,plain,(
0.21/0.47	  ! [X0,X1,X2] : (((~happens(pull,X2) & forwards = X1 & push = X0) | sP9(X0,X2,X1) | sP8(X2,X1,X0)) <=> initiates(X0,X1,X2))),
0.21/0.47	  inference(definition_folding,[],[f75,f114,f113])).
0.21/0.47	fof(f114,plain,(
0.21/0.47	  ! [X0,X2,X1] : (sP9(X0,X2,X1) <=> (pull = X0 & ~happens(push,X2) & backwards = X1))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP9])],[predicate_definition_introduction])).
0.21/0.47	fof(f75,plain,(
0.21/0.47	  ! [X0,X1,X2] : (((~happens(pull,X2) & forwards = X1 & push = X0) | (pull = X0 & ~happens(push,X2) & backwards = X1) | (happens(push,X2) & spinning = X1 & pull = X0)) <=> initiates(X0,X1,X2))),
0.21/0.47	  inference(rectify,[],[f15])).
0.21/0.47	fof(f15,axiom,(
0.21/0.47	  ! [X0,X6,X5] : (((~happens(pull,X5) & forwards = X6 & push = X0) | (pull = X0 & ~happens(push,X5) & backwards = X6) | (happens(push,X5) & spinning = X6 & pull = X0)) <=> initiates(X0,X6,X5))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f229,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (~initiates(X0,X2,X1) | holdsAt(X2,plus(X1,n1)) | ~happens(X0,X1)) )),
0.21/0.47	  inference(cnf_transformation,[],[f92])).
0.21/0.47	fof(f92,plain,(
0.21/0.47	  ! [X0,X1,X2] : (holdsAt(X2,plus(X1,n1)) | ~initiates(X0,X2,X1) | ~happens(X0,X1))),
0.21/0.47	  inference(flattening,[],[f91])).
0.21/0.47	fof(f91,plain,(
0.21/0.47	  ! [X0,X1,X2] : (holdsAt(X2,plus(X1,n1)) | (~initiates(X0,X2,X1) | ~happens(X0,X1)))),
0.21/0.47	  inference(ennf_transformation,[],[f68])).
0.21/0.47	fof(f68,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((initiates(X0,X2,X1) & happens(X0,X1)) => holdsAt(X2,plus(X1,n1)))),
0.21/0.47	  inference(rectify,[],[f10])).
0.21/0.47	fof(f10,axiom,(
0.21/0.47	  ! [X0,X5,X6] : ((initiates(X0,X6,X5) & happens(X0,X5)) => holdsAt(X6,plus(X5,n1)))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f1254,plain,(
0.21/0.47	  spl14_49 | spl14_50 | ~spl14_47),
0.21/0.47	  inference(avatar_split_clause,[],[f1245,f1211,f1251,f1247])).
0.21/0.47	fof(f1245,plain,(
0.21/0.47	  n0 = n2 | n0 = n1 | ~spl14_47),
0.21/0.47	  inference(subsumption_resolution,[],[f1243,f286])).
0.21/0.47	fof(f286,plain,(
0.21/0.47	  pull != push),
0.21/0.47	  inference(cnf_transformation,[],[f19])).
0.21/0.47	fof(f19,axiom,(
0.21/0.47	  pull != push),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f1243,plain,(
0.21/0.47	  n0 = n2 | n0 = n1 | pull = push | ~spl14_47),
0.21/0.47	  inference(resolution,[],[f1213,f570])).
0.21/0.47	fof(f570,plain,(
0.21/0.47	  ( ! [X0,X1] : (~happens(X0,X1) | n2 = X1 | n1 = X1 | push = X0) )),
0.21/0.47	  inference(resolution,[],[f326,f225])).
0.21/0.47	fof(f225,plain,(
0.21/0.47	  ( ! [X0,X1] : (sP1(X0,X1) | ~happens(X0,X1)) )),
0.21/0.47	  inference(cnf_transformation,[],[f134])).
0.21/0.47	fof(f134,plain,(
0.21/0.47	  ! [X0,X1] : ((sP1(X0,X1) | ~happens(X0,X1)) & (happens(X0,X1) | ~sP1(X0,X1)))),
0.21/0.47	  inference(nnf_transformation,[],[f105])).
0.21/0.47	fof(f105,plain,(
0.21/0.47	  ! [X0,X1] : (sP1(X0,X1) <=> happens(X0,X1))),
0.21/0.47	  inference(definition_folding,[],[f65,f104,f103])).
0.21/0.47	fof(f103,plain,(
0.21/0.47	  ! [X1,X0] : (sP0(X1,X0) <=> (n0 = X1 & push = X0))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP0])],[predicate_definition_introduction])).
0.21/0.47	fof(f104,plain,(
0.21/0.47	  ! [X0,X1] : (sP1(X0,X1) <=> ((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | sP0(X1,X0)))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP1])],[predicate_definition_introduction])).
0.21/0.47	fof(f65,plain,(
0.21/0.47	  ! [X0,X1] : (((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | (n0 = X1 & push = X0)) <=> happens(X0,X1))),
0.21/0.47	  inference(rectify,[],[f17])).
0.21/0.47	fof(f17,axiom,(
0.21/0.47	  ! [X0,X5] : (((pull = X0 & n1 = X5) | (n2 = X5 & push = X0) | (n2 = X5 & pull = X0) | (n0 = X5 & push = X0)) <=> happens(X0,X5))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f326,plain,(
0.21/0.47	  ( ! [X0,X1] : (~sP1(X0,X1) | push = X0 | n2 = X1 | n1 = X1) )),
0.21/0.47	  inference(subsumption_resolution,[],[f210,f221])).
0.21/0.47	fof(f221,plain,(
0.21/0.47	  ( ! [X0,X1] : (~sP0(X0,X1) | push = X1) )),
0.21/0.47	  inference(cnf_transformation,[],[f133])).
0.21/0.47	fof(f133,plain,(
0.21/0.47	  ! [X0,X1] : ((sP0(X0,X1) | n0 != X0 | push != X1) & ((n0 = X0 & push = X1) | ~sP0(X0,X1)))),
0.21/0.47	  inference(rectify,[],[f132])).
0.21/0.47	fof(f132,plain,(
0.21/0.47	  ! [X1,X0] : ((sP0(X1,X0) | n0 != X1 | push != X0) & ((n0 = X1 & push = X0) | ~sP0(X1,X0)))),
0.21/0.47	  inference(flattening,[],[f131])).
0.21/0.47	fof(f131,plain,(
0.21/0.47	  ! [X1,X0] : ((sP0(X1,X0) | (n0 != X1 | push != X0)) & ((n0 = X1 & push = X0) | ~sP0(X1,X0)))),
0.21/0.47	  inference(nnf_transformation,[],[f103])).
0.21/0.47	fof(f210,plain,(
0.21/0.47	  ( ! [X0,X1] : (n1 = X1 | push = X0 | n2 = X1 | sP0(X1,X0) | ~sP1(X0,X1)) )),
0.21/0.47	  inference(cnf_transformation,[],[f130])).
0.21/0.47	fof(f130,plain,(
0.21/0.47	  ! [X0,X1] : ((sP1(X0,X1) | ((pull != X0 | n1 != X1) & (n2 != X1 | push != X0) & (n2 != X1 | pull != X0) & ~sP0(X1,X0))) & ((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | sP0(X1,X0) | ~sP1(X0,X1)))),
0.21/0.47	  inference(flattening,[],[f129])).
0.21/0.47	fof(f129,plain,(
0.21/0.47	  ! [X0,X1] : ((sP1(X0,X1) | ((pull != X0 | n1 != X1) & (n2 != X1 | push != X0) & (n2 != X1 | pull != X0) & ~sP0(X1,X0))) & (((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | sP0(X1,X0)) | ~sP1(X0,X1)))),
0.21/0.47	  inference(nnf_transformation,[],[f104])).
0.21/0.47	fof(f1236,plain,(
0.21/0.47	  spl14_48),
0.21/0.47	  inference(avatar_contradiction_clause,[],[f1235])).
0.21/0.47	fof(f1235,plain,(
0.21/0.47	  $false | spl14_48),
0.21/0.47	  inference(subsumption_resolution,[],[f1234,f298])).
0.21/0.47	fof(f298,plain,(
0.21/0.47	  sP0(n0,push)),
0.21/0.47	  inference(equality_resolution,[],[f297])).
0.21/0.47	fof(f297,plain,(
0.21/0.47	  ( ! [X1] : (sP0(n0,X1) | push != X1) )),
0.21/0.47	  inference(equality_resolution,[],[f223])).
0.21/0.47	fof(f223,plain,(
0.21/0.47	  ( ! [X0,X1] : (sP0(X0,X1) | n0 != X0 | push != X1) )),
0.21/0.47	  inference(cnf_transformation,[],[f133])).
0.21/0.47	fof(f1234,plain,(
0.21/0.47	  ~sP0(n0,push) | spl14_48),
0.21/0.47	  inference(resolution,[],[f1228,f217])).
0.21/0.47	fof(f217,plain,(
0.21/0.47	  ( ! [X0,X1] : (sP1(X0,X1) | ~sP0(X1,X0)) )),
0.21/0.47	  inference(cnf_transformation,[],[f130])).
0.21/0.47	fof(f1228,plain,(
0.21/0.47	  ~sP1(push,n0) | spl14_48),
0.21/0.47	  inference(resolution,[],[f1217,f224])).
0.21/0.47	fof(f224,plain,(
0.21/0.47	  ( ! [X0,X1] : (happens(X0,X1) | ~sP1(X0,X1)) )),
0.21/0.47	  inference(cnf_transformation,[],[f134])).
0.21/0.47	fof(f1217,plain,(
0.21/0.47	  ~happens(push,n0) | spl14_48),
0.21/0.47	  inference(avatar_component_clause,[],[f1215])).
0.21/0.47	fof(f1218,plain,(
0.21/0.47	  spl14_47 | ~spl14_48),
0.21/0.47	  inference(avatar_split_clause,[],[f1203,f1215,f1211])).
0.21/0.47	fof(f1203,plain,(
0.21/0.47	  ~happens(push,n0) | happens(pull,n0)),
0.21/0.47	  inference(resolution,[],[f1197,f300])).
0.21/0.47	fof(f300,plain,(
0.21/0.47	  ( ! [X2] : (sP7(push,backwards,X2) | happens(pull,X2)) )),
0.21/0.47	  inference(equality_resolution,[],[f299])).
0.21/0.47	fof(f299,plain,(
0.21/0.47	  ( ! [X2,X1] : (sP7(push,X1,X2) | backwards != X1 | happens(pull,X2)) )),
0.21/0.47	  inference(equality_resolution,[],[f248])).
0.21/0.47	fof(f248,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (sP7(X0,X1,X2) | push != X0 | backwards != X1 | happens(pull,X2)) )),
0.21/0.47	  inference(cnf_transformation,[],[f144])).
0.21/0.47	fof(f144,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((sP7(X0,X1,X2) | ((push != X0 | backwards != X1 | happens(pull,X2)) & ~sP6(X0,X1,X2) & ~sP5(X2,X1,X0) & ~sP4(X2,X1,X0) & ~sP3(X0,X2,X1) & ~sP2(X1,X2,X0))) & ((push = X0 & backwards = X1 & ~happens(pull,X2)) | sP6(X0,X1,X2) | sP5(X2,X1,X0) | sP4(X2,X1,X0) | sP3(X0,X2,X1) | sP2(X1,X2,X0) | ~sP7(X0,X1,X2)))),
0.21/0.47	  inference(flattening,[],[f143])).
0.21/0.47	fof(f143,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((sP7(X0,X1,X2) | ((push != X0 | backwards != X1 | happens(pull,X2)) & ~sP6(X0,X1,X2) & ~sP5(X2,X1,X0) & ~sP4(X2,X1,X0) & ~sP3(X0,X2,X1) & ~sP2(X1,X2,X0))) & (((push = X0 & backwards = X1 & ~happens(pull,X2)) | sP6(X0,X1,X2) | sP5(X2,X1,X0) | sP4(X2,X1,X0) | sP3(X0,X2,X1) | sP2(X1,X2,X0)) | ~sP7(X0,X1,X2)))),
0.21/0.47	  inference(nnf_transformation,[],[f111])).
0.21/0.47	fof(f111,plain,(
0.21/0.47	  ! [X0,X1,X2] : (sP7(X0,X1,X2) <=> ((push = X0 & backwards = X1 & ~happens(pull,X2)) | sP6(X0,X1,X2) | sP5(X2,X1,X0) | sP4(X2,X1,X0) | sP3(X0,X2,X1) | sP2(X1,X2,X0)))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP7])],[predicate_definition_introduction])).
0.21/0.47	fof(f1197,plain,(
0.21/0.47	  ( ! [X0] : (~sP7(X0,backwards,n0) | ~happens(X0,n0)) )),
0.21/0.47	  inference(resolution,[],[f801,f174])).
0.21/0.47	fof(f174,plain,(
0.21/0.47	  holdsAt(backwards,n1)),
0.21/0.47	  inference(cnf_transformation,[],[f52])).
0.21/0.47	fof(f52,plain,(
0.21/0.47	  holdsAt(backwards,n1)),
0.21/0.47	  inference(flattening,[],[f26])).
0.21/0.47	fof(f26,negated_conjecture,(
0.21/0.47	  ~~holdsAt(backwards,n1)),
0.21/0.47	  inference(negated_conjecture,[status(cth)],[f25])).
0.21/0.47	fof(f25,conjecture,(
0.21/0.47	  ~holdsAt(backwards,n1)),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f801,plain,(
0.21/0.47	  ( ! [X0,X1] : (~holdsAt(X0,n1) | ~happens(X1,n0) | ~sP7(X1,X0,n0)) )),
0.21/0.47	  inference(superposition,[],[f543,f180])).
0.21/0.47	fof(f543,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (~holdsAt(X2,plus(X1,n1)) | ~happens(X0,X1) | ~sP7(X0,X2,X1)) )),
0.21/0.47	  inference(resolution,[],[f238,f270])).
0.21/0.47	fof(f270,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (terminates(X0,X1,X2) | ~sP7(X0,X1,X2)) )),
0.21/0.47	  inference(cnf_transformation,[],[f159])).
0.21/0.47	fof(f159,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((terminates(X0,X1,X2) | ~sP7(X0,X1,X2)) & (sP7(X0,X1,X2) | ~terminates(X0,X1,X2)))),
0.21/0.47	  inference(nnf_transformation,[],[f112])).
0.21/0.47	fof(f112,plain,(
0.21/0.47	  ! [X0,X1,X2] : (terminates(X0,X1,X2) <=> sP7(X0,X1,X2))),
0.21/0.47	  inference(definition_folding,[],[f74,f111,f110,f109,f108,f107,f106])).
0.21/0.47	fof(f106,plain,(
0.21/0.47	  ! [X1,X2,X0] : (sP2(X1,X2,X0) <=> (backwards = X1 & happens(push,X2) & pull = X0))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP2])],[predicate_definition_introduction])).
0.21/0.47	fof(f107,plain,(
0.21/0.47	  ! [X0,X2,X1] : (sP3(X0,X2,X1) <=> (pull = X0 & ~happens(push,X2) & spinning = X1))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP3])],[predicate_definition_introduction])).
0.21/0.47	fof(f108,plain,(
0.21/0.47	  ! [X2,X1,X0] : (sP4(X2,X1,X0) <=> (~happens(pull,X2) & spinning = X1 & push = X0))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP4])],[predicate_definition_introduction])).
0.21/0.47	fof(f109,plain,(
0.21/0.47	  ! [X2,X1,X0] : (sP5(X2,X1,X0) <=> (happens(push,X2) & forwards = X1 & pull = X0))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP5])],[predicate_definition_introduction])).
0.21/0.47	fof(f110,plain,(
0.21/0.47	  ! [X0,X1,X2] : (sP6(X0,X1,X2) <=> (pull = X0 & forwards = X1 & ~happens(push,X2)))),
0.21/0.47	  introduced(definition,[new_symbols(naming,[sP6])],[predicate_definition_introduction])).
0.21/0.47	fof(f74,plain,(
0.21/0.47	  ! [X0,X1,X2] : (terminates(X0,X1,X2) <=> ((push = X0 & backwards = X1 & ~happens(pull,X2)) | (pull = X0 & forwards = X1 & ~happens(push,X2)) | (happens(push,X2) & forwards = X1 & pull = X0) | (~happens(pull,X2) & spinning = X1 & push = X0) | (pull = X0 & ~happens(push,X2) & spinning = X1) | (backwards = X1 & happens(push,X2) & pull = X0)))),
0.21/0.47	  inference(rectify,[],[f16])).
0.21/0.47	fof(f16,axiom,(
0.21/0.47	  ! [X0,X6,X5] : (terminates(X0,X6,X5) <=> ((push = X0 & backwards = X6 & ~happens(pull,X5)) | (pull = X0 & forwards = X6 & ~happens(push,X5)) | (happens(push,X5) & forwards = X6 & pull = X0) | (~happens(pull,X5) & spinning = X6 & push = X0) | (pull = X0 & ~happens(push,X5) & spinning = X6) | (backwards = X6 & happens(push,X5) & pull = X0)))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	fof(f238,plain,(
0.21/0.47	  ( ! [X2,X0,X1] : (~terminates(X0,X2,X1) | ~happens(X0,X1) | ~holdsAt(X2,plus(X1,n1))) )),
0.21/0.47	  inference(cnf_transformation,[],[f102])).
0.21/0.47	fof(f102,plain,(
0.21/0.47	  ! [X0,X1,X2] : (~holdsAt(X2,plus(X1,n1)) | ~happens(X0,X1) | ~terminates(X0,X2,X1))),
0.21/0.47	  inference(flattening,[],[f101])).
0.21/0.47	fof(f101,plain,(
0.21/0.47	  ! [X0,X1,X2] : (~holdsAt(X2,plus(X1,n1)) | (~happens(X0,X1) | ~terminates(X0,X2,X1)))),
0.21/0.47	  inference(ennf_transformation,[],[f73])).
0.21/0.47	fof(f73,plain,(
0.21/0.47	  ! [X0,X1,X2] : ((happens(X0,X1) & terminates(X0,X2,X1)) => ~holdsAt(X2,plus(X1,n1)))),
0.21/0.47	  inference(rectify,[],[f2])).
0.21/0.47	fof(f2,axiom,(
0.21/0.47	  ! [X0,X5,X6] : ((happens(X0,X5) & terminates(X0,X6,X5)) => ~holdsAt(X6,plus(X5,n1)))),
0.21/0.47	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.47	% SZS output end Proof for theBenchmark
0.21/0.47	% (11155)------------------------------
0.21/0.47	% (11155)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.47	% (11155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.47	% (11155)Termination reason: Refutation
0.21/0.47	
0.21/0.47	% (11155)Time elapsed: 0.029 s
0.21/0.47	% (11155)Peak memory usage: 8 MB
0.21/0.47	% (11155)Instructions burned: 45 (million)
0.21/0.47	% (11155)------------------------------
0.21/0.47	% (11155)------------------------------
0.21/0.47	% (11153)Success in time 0.11 s
0.21/0.48	EOF