0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.37	% Computer : n013.cluster.edu
0.10/0.37	% Model    : x86_64 x86_64
0.10/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.37	% Memory   : 8046.5625MB
0.10/0.37	% OS       : Linux 6.8.0-71-generic
0.10/0.37	% CPULimit : 1440
0.10/0.37	% WCLimit  : 180
0.10/0.37	% DateTime : Mon Jul 27 10:27:54 UTC 2026
0.10/0.37	% CPUTime  : 
0.10/0.37	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.41	Running higher-order theorem proving
0.10/0.42	Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.18/0.48	% (1331663)Detected a higher-order problem, will run a greedy HOL sequence.
0.18/0.48	% (1331671)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1581009052:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1799 on theBenchmark for (1799ds/634Mi)
0.18/0.48	% (1331668)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2531753709:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.18/0.48	% (1331672)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3323569451:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.18/0.48	% (1331669)lrs+10_16_si=on:nwc=1.5:random_seed=2474971906:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.18/0.48	% (1331670)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=388657125:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.18/0.48	% (1331670)Instruction limit reached! 
0.18/0.48	% (1331670)------------------------------
0.18/0.48	% (1331670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.18/0.48	% (1331670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.18/0.48	% (1331670)CaDiCaL version: 2.1.3
0.18/0.48	% (1331670)Termination reason: Instruction limit
0.18/0.48	% (1331670)Termination phase: Preprocessing 2
0.18/0.48	% (1331670)Time elapsed: 0.002 s
0.18/0.48	% (1331670)Peak memory usage: 10 MB
0.18/0.48	% (1331670)Instructions burned: 4 (million)
0.18/0.48	% (1331674)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.18/0.48	% (1331674)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
0.18/0.48	% (1331673)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1791236767:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.18/0.48	% (1331668) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1331663-1331668"...
0.18/0.48	% (1331669) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1331663-1331669"...
0.18/0.48	% (1331674)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1666286328:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.18/0.48	% (1331668)...printing done.
0.18/0.48	% (1331669)...printing done.
0.18/0.48	% (1331668)Refutation found. Thanks to Tanya!
0.18/0.48	% SZS status Theorem for theBenchmark
0.18/0.48	% SZS output start Proof for theBenchmark
0.18/0.48	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.18/0.48	thf(func_def_0, type, subrel: (($i > $i > $o) > ($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_2, type, inv: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_3, type, idem: ((($i > $i > $o) > $i > $i > $o) > $o)).
0.18/0.48	thf(func_def_4, type, infl: ((($i > $i > $o) > $i > $i > $o) > $o)).
0.18/0.48	thf(func_def_5, type, mono: ((($i > $i > $o) > $i > $i > $o) > $o)).
0.18/0.48	thf(func_def_6, type, refl: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_7, type, irrefl: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_8, type, rc: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_9, type, symm: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_10, type, antisymm: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_11, type, asymm: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_12, type, sc: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_13, type, trans: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_14, type, tc: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_15, type, trc: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_16, type, trsc: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_17, type, po: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_18, type, so: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_19, type, total: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_20, type, term: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_21, type, ind: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_22, type, innf: (($i > $i > $o) > $i > $o)).
0.18/0.48	thf(func_def_23, type, nfof: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_24, type, norm: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_25, type, join: (($i > $i > $o) > $i > $i > $o)).
0.18/0.48	thf(func_def_26, type, lconfl: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_27, type, sconfl: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_28, type, confl: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_29, type, cr: (($i > $i > $o) > $o)).
0.18/0.48	thf(func_def_30, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
0.18/0.48	thf(func_def_31, type, vNOT: ($o > $o)).
0.18/0.48	thf(func_def_32, type, db1: !>[X0: $tType]:(X0)).
0.18/0.48	thf(func_def_33, type, db0: !>[X0: $tType]:(X0)).
0.18/0.48	thf(func_def_34, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
0.18/0.48	thf(func_def_35, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
0.18/0.48	thf(func_def_36, type, vAND: ($o > $o > $o)).
0.18/0.48	thf(func_def_37, type, vIMP: ($o > $o > $o)).
0.18/0.48	thf(func_def_38, type, db3: !>[X0: $tType]:(X0)).
0.18/0.48	thf(func_def_39, type, db2: !>[X0: $tType]:(X0)).
0.18/0.48	thf(func_def_40, type, vOR: ($o > $o > $o)).
0.18/0.48	thf(func_def_41, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
0.18/0.48	thf(func_def_44, type, sK0: ($i > $i > $o)).
0.18/0.48	thf(f9,axiom,(
0.18/0.48	  (symm = (^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))))),
0.18/0.48	  file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',symmetric)).
0.18/0.48	thf(f12,axiom,(
0.18/0.48	  (sc = (^[X0 : ($i > $i > $o), X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1))))),
0.18/0.48	  file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',symmetric_closure)).
0.18/0.48	thf(f30,conjecture,(
0.18/0.48	  ! [X0 : ($i > $i > $o)] : (symm @ (sc @ X0))),
0.18/0.48	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_closure_is_symmetric)).
0.18/0.48	thf(f31,negated_conjecture,(
0.18/0.48	  ~ ! [X0 : ($i > $i > $o)] : (symm @ (sc @ X0))),
0.18/0.48	  inference(negated_conjecture,[status(cth)],[f30])).
0.18/0.48	thf(f68,plain,(
0.18/0.48	  (symm = (^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))))),
0.18/0.48	  inference(rectify,[],[f9])).
0.18/0.48	thf(f69,plain,(
0.18/0.48	  (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
0.18/0.48	  inference(fool_elimination,[],[f68])).
0.18/0.48	thf(f77,plain,(
0.18/0.48	  (sc = (^[X0 : ($i > $i > $o), X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1))))),
0.18/0.48	  inference(rectify,[],[f12])).
0.18/0.48	thf(f78,plain,(
0.18/0.48	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
0.18/0.48	  inference(fool_elimination,[],[f77])).
0.18/0.48	thf(f84,plain,(
0.18/0.48	  ~ ! [X0 : ($i > $i > $o)] : (symm @ (sc @ X0))),
0.18/0.48	  inference(rectify,[],[f31])).
0.18/0.48	thf(f85,plain,(
0.18/0.48	  ~ ! [X0 : ($i > $i > $o)] : (((symm @ (sc @ X0))) = $true)),
0.18/0.48	  inference(fool_elimination,[],[f84])).
0.18/0.48	thf(f88,plain,(
0.18/0.48	  ? [X0 : ($i > $i > $o)] : (((symm @ (sc @ X0))) != $true)),
0.18/0.48	  inference(ennf_transformation,[],[f85])).
0.18/0.48	thf(f89,plain,(
0.18/0.48	  ($true != ((symm @ (sc @ sK0))))),
0.18/0.48	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f88])).
0.18/0.48	thf(f90,plain,(
0.18/0.48	  (symm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
0.18/0.48	  inference(cnf_transformation,[],[f69])).
0.18/0.48	thf(f106,plain,(
0.18/0.48	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
0.18/0.48	  inference(cnf_transformation,[],[f78])).
0.18/0.48	thf(f109,plain,(
0.18/0.48	  ($true != ((symm @ (sc @ sK0))))),
0.18/0.48	  inference(cnf_transformation,[],[f89])).
0.18/0.48	thf(f137,plain,(
0.18/0.48	  ($true != (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))) @ sK0))))),
0.18/0.48	  inference(definition_unfolding,[],[f109,f90,f106])).
0.18/0.48	thf(f138,plain,(
0.18/0.48	  ($true != ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) | (sK0 @ Y1 @ Y0)) => ((sK0 @ Y1 @ Y0) | (sK0 @ Y0 @ Y1)))))))))),
0.18/0.48	  inference(beta-eta_normalization,[],[f137])).
0.18/0.48	thf(f139,plain,(
0.18/0.48	  ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) | (sK0 @ Y1 @ Y0)) => ((sK0 @ Y1 @ Y0) | (sK0 @ Y0 @ Y1)))))) @ sK1)) = $false)),
0.18/0.48	  inference(sigma_proxy_clausification,[],[f138])).
0.18/0.48	thf(f140,plain,(
0.18/0.48	  ($false = ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK1 @ Y0) | (sK0 @ Y0 @ sK1)) => ((sK0 @ Y0 @ sK1) | (sK0 @ sK1 @ Y0)))))))),
0.18/0.48	  inference(beta-eta_normalization,[],[f139])).
0.18/0.48	thf(f141,plain,(
0.18/0.48	  ((((^[Y0 : $i]: (((sK0 @ sK1 @ Y0) | (sK0 @ Y0 @ sK1)) => ((sK0 @ Y0 @ sK1) | (sK0 @ sK1 @ Y0)))) @ sK2)) = $false)),
0.18/0.48	  inference(sigma_proxy_clausification,[],[f140])).
0.18/0.48	thf(f142,plain,(
0.18/0.48	  ($false = ((((sK0 @ sK1 @ sK2) | (sK0 @ sK2 @ sK1)) => ((sK0 @ sK2 @ sK1) | (sK0 @ sK1 @ sK2)))))),
0.18/0.48	  inference(beta-eta_normalization,[],[f141])).
0.18/0.48	thf(f143,plain,(
0.18/0.48	  ($false = (((sK0 @ sK2 @ sK1) | (sK0 @ sK1 @ sK2))))),
0.18/0.48	  inference(imp_proxy_clausification,[],[f142])).
0.18/0.48	thf(f144,plain,(
0.18/0.48	  ($true = (((sK0 @ sK1 @ sK2) | (sK0 @ sK2 @ sK1))))),
0.18/0.48	  inference(imp_proxy_clausification,[],[f142])).
0.18/0.48	thf(f145,plain,(
0.18/0.48	  ($true = ((sK0 @ sK1 @ sK2))) | ($true = ((sK0 @ sK2 @ sK1)))),
0.18/0.48	  inference(or_proxy_clausification,[],[f144])).
0.18/0.48	thf(f146,plain,(
0.18/0.48	  ($false = ((sK0 @ sK1 @ sK2)))),
0.18/0.48	  inference(or_proxy_clausification,[],[f143])).
0.18/0.48	thf(f147,plain,(
0.18/0.48	  ($false = ((sK0 @ sK2 @ sK1)))),
0.18/0.48	  inference(or_proxy_clausification,[],[f143])).
0.18/0.48	thf(f149,definition,(
0.18/0.48	  spl3_1 <=> ($true = ((sK0 @ sK2 @ sK1)))),
0.18/0.48	  introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
0.18/0.48	thf(f151,plain,(
0.18/0.48	  ($true = ((sK0 @ sK2 @ sK1))) | ~spl3_1),
0.18/0.48	  inference(avatar_component_clause,[],[f149])).
0.18/0.48	thf(f153,definition,(
0.18/0.48	  spl3_2 <=> ($true = ((sK0 @ sK1 @ sK2)))),
0.18/0.48	  introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
0.18/0.48	thf(f155,plain,(
0.18/0.48	  ($true = ((sK0 @ sK1 @ sK2))) | ~spl3_2),
0.18/0.48	  inference(avatar_component_clause,[],[f153])).
0.18/0.48	thf(f156,plain,(
0.18/0.48	  spl3_1 | spl3_2),
0.18/0.48	  inference(avatar_split_clause,[],[f145,f153,f149])).
0.18/0.48	thf(f157,plain,(
0.18/0.48	  ($true = $false) | ~spl3_2),
0.18/0.48	  inference(forward_demodulation,[],[f155,f146])).
0.18/0.48	thf(f158,plain,(
0.18/0.48	  $false | ~spl3_2),
0.18/0.48	  inference(trivial_inequality_removal,[],[f157])).
0.18/0.48	thf(f159,plain,(
0.18/0.48	  ~spl3_2),
0.18/0.48	  inference(avatar_contradiction_clause,[],[f158])).
0.18/0.48	thf(f160,plain,(
0.18/0.48	  ($true = $false) | ~spl3_1),
0.18/0.48	  inference(forward_demodulation,[],[f151,f147])).
0.18/0.48	thf(f161,plain,(
0.18/0.48	  $false | ~spl3_1),
0.18/0.48	  inference(trivial_inequality_removal,[],[f160])).
0.18/0.48	thf(f162,plain,(
0.18/0.48	  ~spl3_1),
0.18/0.48	  inference(avatar_contradiction_clause,[],[f161])).
0.18/0.48	cnf(s1, plain, spl3_1 | spl3_2, inference(sat_conversion,[],[f156])).
0.18/0.48	cnf(s2, plain, ~spl3_2, inference(sat_conversion,[],[f159])).
0.18/0.48	cnf(s3, plain, ~spl3_1, inference(sat_conversion,[],[f162])).
0.18/0.48	cnf(s4, plain, $false, inference(rat,[],[s1,s2,s3])).
0.18/0.48	thf(f164,plain,(
0.18/0.48	  $false),
0.18/0.48	  inference(avatar_sat_refutation,[],[s4])).
0.18/0.48	% SZS output end Proof for theBenchmark
0.18/0.48	% (1331668)------------------------------
0.18/0.48	% (1331668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.18/0.48	% (1331668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.18/0.48	% (1331668)CaDiCaL version: 2.1.3
0.18/0.48	% (1331668)Termination reason: Refutation
0.18/0.48	% (1331668)Time elapsed: 0.007 s
0.18/0.48	% (1331668)Peak memory usage: 12 MB
0.18/0.48	% (1331668)Instructions burned: 12 (million)
0.18/0.48	% (1331663)Success in time 0.044 s
0.18/0.48	% Vampire exiting
0.18/0.48	EOF