0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.07/0.35	% Computer : n022.cluster.edu
0.07/0.35	% Model    : x86_64 x86_64
0.07/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.07/0.35	% Memory   : 8046.5625MB
0.07/0.35	% OS       : Linux 6.8.0-71-generic
0.07/0.35	% CPULimit : 1440
0.07/0.35	% WCLimit  : 180
0.07/0.35	% DateTime : Mon Jul 27 09:38:59 UTC 2026
0.07/0.35	% CPUTime  : 
0.07/0.35	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.41	Running higher-order theorem proving
0.11/0.43	Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.26/0.52	% (718009)Detected a higher-order problem, will run a greedy HOL sequence.
0.26/0.52	% (718014)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1853822824:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.26/0.52	% (718020)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.26/0.52	% (718020)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
0.26/0.52	% (718018)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3238057727:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.26/0.52	% (718017)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=3959787153: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)
0.26/0.52	% (718020)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=829386075:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.26/0.52	% (718016)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3481433807:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.26/0.52	% (718014)Refutation not found, incomplete strategy
0.26/0.52	% (718014)------------------------------
0.26/0.52	% (718014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.26/0.52	% (718014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.26/0.52	% (718014)CaDiCaL version: 2.1.3
0.26/0.52	% (718014)Termination reason: Refutation not found, incomplete strategy
0.26/0.52	% (718014)Time elapsed: 0.005 s
0.26/0.52	% (718014)Peak memory usage: 12 MB
0.26/0.52	% (718014)Instructions burned: 3 (million)
0.26/0.52	% (718018)Refutation not found, incomplete strategy
0.26/0.52	% (718018)------------------------------
0.26/0.52	% (718018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.26/0.52	% (718018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.26/0.52	% (718018)CaDiCaL version: 2.1.3
0.26/0.52	% (718018)Termination reason: Refutation not found, incomplete strategy
0.26/0.52	% (718018)Time elapsed: 0.004 s
0.26/0.52	% (718018)Peak memory usage: 12 MB
0.26/0.52	% (718018)Instructions burned: 3 (million)
0.26/0.52	% (718014)------------------------------
0.26/0.52	% (718014)------------------------------
0.26/0.52	% (718016)Instruction limit reached! 
0.26/0.52	% (718016)------------------------------
0.26/0.52	% (718016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.26/0.52	% (718016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.26/0.52	% (718016)CaDiCaL version: 2.1.3
0.26/0.52	% (718016)Termination reason: Instruction limit
0.26/0.52	% (718016)Time elapsed: 0.002 s
0.26/0.52	% (718016)Peak memory usage: 12 MB
0.26/0.52	% (718016)Instructions burned: 3 (million)
0.26/0.52	% (718018)------------------------------
0.26/0.52	% (718018)------------------------------
0.26/0.52	% (718017) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-718009-718017"...
0.26/0.52	% (718017)...printing done.
0.26/0.52	% (718017)Refutation found. Thanks to Tanya!
0.26/0.52	% SZS status Theorem for theBenchmark
0.26/0.52	% SZS output start Proof for theBenchmark
0.26/0.52	thf(type_def_5, type, num: $tType).
0.26/0.52	thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
0.26/0.52	thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
0.26/0.52	thf(func_def_7, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
0.26/0.52	thf(func_def_8, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
0.26/0.52	thf(func_def_10, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
0.26/0.52	thf(func_def_12, type, vNOT: ($o > $o)).
0.26/0.52	thf(func_def_13, type, vAND: ($o > $o > $o)).
0.26/0.52	thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
0.26/0.52	thf(func_def_18, type, db1: !>[X0: $tType]:(X0)).
0.26/0.52	thf(func_def_19, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
0.26/0.52	thf(func_def_20, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
0.26/0.52	thf(f2,axiom,(
0.26/0.52	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
0.26/0.52	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
0.26/0.52	thf(f4,axiom,(
0.26/0.52	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
0.26/0.52	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)).
0.26/0.52	thf(f7,conjecture,(
0.26/0.52	  ? [X1 : $i,X0 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
0.26/0.52	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
0.26/0.52	thf(f8,negated_conjecture,(
0.26/0.52	  ~ ? [X1 : $i,X0 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
0.26/0.52	  inference(negated_conjecture,[status(cth)],[f7])).
0.26/0.52	thf(f13,plain,(
0.26/0.52	  ~ ? [X0 : $i,X1 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X1 @ X2 @ lAnna_THFTYPE_i)) & (X1 @ X0 @ lAnna_THFTYPE_i))),
0.26/0.52	  inference(rectify,[],[f8])).
0.26/0.52	thf(f14,plain,(
0.26/0.52	  ~ ? [X2 : $i,X0 : $i,X1 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X1 @ X0 @ lAnna_THFTYPE_i) & (~ (X1 @ X2 @ lAnna_THFTYPE_i))))) = $true)),
0.26/0.52	  inference(fool_elimination,[],[f13])).
0.26/0.52	thf(f19,plain,(
0.26/0.52	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
0.26/0.52	  inference(rectify,[],[f4])).
0.26/0.52	thf(f20,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
0.26/0.52	  inference(fool_elimination,[],[f19])).
0.26/0.52	thf(f31,plain,(
0.26/0.52	  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
0.26/0.52	  inference(rectify,[],[f2])).
0.26/0.52	thf(f32,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
0.26/0.52	  inference(fool_elimination,[],[f31])).
0.26/0.52	thf(f35,plain,(
0.26/0.52	  ! [X2 : $i,X0 : $i,X1 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X1 @ X0 @ lAnna_THFTYPE_i) & (~ (X1 @ X2 @ lAnna_THFTYPE_i))))) != $true)),
0.26/0.52	  inference(ennf_transformation,[],[f14])).
0.26/0.52	thf(f36,plain,(
0.26/0.52	  ! [X0 : $i,X1 : $i,X2 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))))),
0.26/0.52	  inference(rectify,[],[f35])).
0.26/0.52	thf(f39,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
0.26/0.52	  inference(cnf_transformation,[],[f20])).
0.26/0.52	thf(f41,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))))) )),
0.26/0.52	  inference(cnf_transformation,[],[f36])).
0.26/0.52	thf(f47,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
0.26/0.52	  inference(cnf_transformation,[],[f32])).
0.26/0.52	thf(f90,definition,(
0.26/0.52	  spl0_9 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
0.26/0.52	thf(f92,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true) | ~spl0_9),
0.26/0.52	  inference(avatar_component_clause,[],[f90])).
0.26/0.52	thf(f93,plain,(
0.26/0.52	  spl0_9),
0.26/0.52	  inference(avatar_split_clause,[],[f39,f90])).
0.26/0.52	thf(f95,definition,(
0.26/0.52	  spl0_10 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
0.26/0.52	thf(f97,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true) | ~spl0_10),
0.26/0.52	  inference(avatar_component_clause,[],[f95])).
0.26/0.52	thf(f98,plain,(
0.26/0.52	  spl0_10),
0.26/0.52	  inference(avatar_split_clause,[],[f47,f95])).
0.26/0.52	thf(f101,definition,(
0.26/0.52	  spl0_11 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true)),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
0.26/0.52	thf(f110,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ $true))))) | (((X2 @ X0 @ lAnna_THFTYPE_i)) = $false)) )),
0.26/0.52	  inference(fool_paramodulation,[],[f41])).
0.26/0.52	thf(f112,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (($false = (((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true)) )),
0.26/0.52	  inference(fool_paramodulation,[],[f41])).
0.26/0.52	thf(f113,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((~ (X2 @ X0 @ lAnna_THFTYPE_i))) = $false) | ($false = ((X2 @ X1 @ lAnna_THFTYPE_i))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true)) )),
0.26/0.52	  inference(and_proxy_clausification,[],[f112])).
0.26/0.52	thf(f114,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((X2 @ X0 @ lAnna_THFTYPE_i)) = $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true) | ($false = ((X2 @ X1 @ lAnna_THFTYPE_i)))) )),
0.26/0.52	  inference(not_proxy_clausification,[],[f113])).
0.26/0.52	thf(f118,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((X2 @ X0 @ lAnna_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & $false))) != $true)) )),
0.26/0.52	  inference(boolean_simplification,[],[f110])).
0.26/0.52	thf(f119,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (((X2 @ X0 @ lAnna_THFTYPE_i)) = $false)) )),
0.26/0.52	  inference(boolean_simplification,[],[f118])).
0.26/0.52	thf(f121,definition,(
0.26/0.52	  spl0_13 <=> ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((X2 @ X0 @ lAnna_THFTYPE_i)) = $true) | ($false = ((X2 @ X1 @ lAnna_THFTYPE_i))))),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
0.26/0.52	thf(f122,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (($false = ((X2 @ X1 @ lAnna_THFTYPE_i))) | (((X2 @ X0 @ lAnna_THFTYPE_i)) = $true)) ) | ~spl0_13),
0.26/0.52	  inference(avatar_component_clause,[],[f121])).
0.26/0.52	thf(f123,plain,(
0.26/0.52	  ~spl0_11 | spl0_13),
0.26/0.52	  inference(avatar_split_clause,[],[f114,f121,f101])).
0.26/0.52	thf(f125,definition,(
0.26/0.52	  spl0_14 <=> ! [X2 : ($i > $i > $o),X0 : $i] : (((X2 @ X0 @ lAnna_THFTYPE_i)) = $false)),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
0.26/0.52	thf(f126,plain,(
0.26/0.52	  ( ! [X2 : ($i > $i > $o),X0 : $i] : ((((X2 @ X0 @ lAnna_THFTYPE_i)) = $false)) ) | ~spl0_14),
0.26/0.52	  inference(avatar_component_clause,[],[f125])).
0.26/0.52	thf(f128,definition,(
0.26/0.52	  spl0_15 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
0.26/0.52	thf(f130,plain,(
0.26/0.52	  ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl0_15),
0.26/0.52	  inference(avatar_component_clause,[],[f128])).
0.26/0.52	thf(f131,plain,(
0.26/0.52	  spl0_14 | ~spl0_15),
0.26/0.52	  inference(avatar_split_clause,[],[f119,f128,f125])).
0.26/0.52	thf(f173,plain,(
0.26/0.52	  ( ! [X3 : ($i > $i > $o),X0 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (X3 @ Y0 @ Y1))))) @ X0 @ lAnna_THFTYPE_i)) = $false)) ) | ~spl0_14),
0.26/0.52	  inference(primitive_instantiation,[],[f126])).
0.26/0.52	thf(f185,plain,(
0.26/0.52	  ( ! [X3 : ($i > $i > $o),X0 : $i] : (($false = ((~ (X3 @ X0 @ lAnna_THFTYPE_i))))) ) | ~spl0_14),
0.26/0.52	  inference(beta-eta_normalization,[],[f173])).
0.26/0.52	thf(f186,plain,(
0.26/0.52	  ( ! [X3 : ($i > $i > $o),X0 : $i] : (($true = ((X3 @ X0 @ lAnna_THFTYPE_i)))) ) | ~spl0_14),
0.26/0.52	  inference(not_proxy_clausification,[],[f185])).
0.26/0.52	thf(f194,plain,(
0.26/0.52	  ($true = $false) | ~spl0_14),
0.26/0.52	  inference(forward_demodulation,[],[f186,f126])).
0.26/0.52	thf(f195,plain,(
0.26/0.52	  $false | ~spl0_14),
0.26/0.52	  inference(trivial_inequality_removal,[],[f194])).
0.26/0.52	thf(f196,plain,(
0.26/0.52	  ~spl0_14),
0.26/0.52	  inference(avatar_contradiction_clause,[],[f195])).
0.26/0.52	thf(f232,plain,(
0.26/0.52	  (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | ~spl0_9),
0.26/0.52	  inference(fool_paramodulation,[],[f92])).
0.26/0.52	thf(f234,plain,(
0.26/0.52	  ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl0_9),
0.26/0.52	  inference(boolean_simplification,[],[f232])).
0.26/0.52	thf(f237,definition,(
0.26/0.52	  spl0_26 <=> (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition])).
0.26/0.52	thf(f239,plain,(
0.26/0.52	  (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl0_26),
0.26/0.52	  inference(avatar_component_clause,[],[f237])).
0.26/0.52	thf(f240,plain,(
0.26/0.52	  spl0_26 | spl0_15 | ~spl0_9),
0.26/0.52	  inference(avatar_split_clause,[],[f234,f90,f128,f237])).
0.26/0.52	thf(f249,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $false))) = $true) | (~spl0_9 | ~spl0_26)),
0.26/0.52	  inference(superposition,[],[f92,f239])).
0.26/0.52	thf(f254,plain,(
0.26/0.52	  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | (~spl0_9 | ~spl0_26)),
0.26/0.52	  inference(boolean_simplification,[],[f249])).
0.26/0.52	thf(f256,plain,(
0.26/0.52	  spl0_11 | ~spl0_9 | ~spl0_26),
0.26/0.52	  inference(avatar_split_clause,[],[f254,f237,f90,f101])).
0.26/0.52	thf(f266,plain,(
0.26/0.52	  ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ($true = ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)))) ) | (~spl0_10 | ~spl0_13)),
0.26/0.52	  inference(superposition,[],[f97,f122])).
0.26/0.52	thf(f295,definition,(
0.26/0.52	  spl0_30 <=> ! [X0 : $i] : ($true = ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)))),
0.26/0.52	  introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition])).
0.26/0.52	thf(f296,plain,(
0.26/0.52	  ( ! [X0 : $i] : (($true = ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)))) ) | ~spl0_30),
0.26/0.52	  inference(avatar_component_clause,[],[f295])).
0.26/0.52	thf(f297,plain,(
0.26/0.52	  spl0_30 | spl0_15 | ~spl0_10 | ~spl0_13),
0.26/0.52	  inference(avatar_split_clause,[],[f266,f121,f95,f128,f295])).
0.26/0.52	thf(f314,plain,(
0.26/0.52	  ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | (~spl0_9 | ~spl0_30)),
0.26/0.52	  inference(superposition,[],[f92,f296])).
0.26/0.52	thf(f327,plain,(
0.26/0.52	  ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (~spl0_9 | ~spl0_30)),
0.26/0.52	  inference(boolean_simplification,[],[f314])).
0.26/0.52	thf(f332,plain,(
0.26/0.52	  $false | (~spl0_9 | spl0_15 | ~spl0_30)),
0.26/0.52	  inference(forward_subsumption_resolution,[],[f327,f130])).
0.26/0.52	thf(f333,plain,(
0.26/0.52	  ~spl0_9 | spl0_15 | ~spl0_30),
0.26/0.52	  inference(avatar_contradiction_clause,[],[f332])).
0.26/0.52	cnf(s9, plain, spl0_9, inference(sat_conversion,[],[f93])).
0.26/0.52	cnf(s10, plain, spl0_10, inference(sat_conversion,[],[f98])).
0.26/0.52	cnf(s12, plain, ~spl0_11 | spl0_13, inference(sat_conversion,[],[f123])).
0.26/0.52	cnf(s13, plain, spl0_14 | ~spl0_15, inference(sat_conversion,[],[f131])).
0.26/0.52	cnf(s23, plain, ~spl0_14, inference(sat_conversion,[],[f196])).
0.26/0.52	cnf(s31, plain, ~spl0_9 | spl0_15 | spl0_26, inference(sat_conversion,[],[f240])).
0.26/0.52	cnf(s34, plain, ~spl0_9 | spl0_11 | ~spl0_26, inference(sat_conversion,[],[f256])).
0.26/0.52	cnf(s38, plain, ~spl0_10 | ~spl0_13 | spl0_15 | spl0_30, inference(sat_conversion,[],[f297])).
0.26/0.52	cnf(s43, plain, ~spl0_9 | spl0_15 | ~spl0_30, inference(sat_conversion,[],[f333])).
0.26/0.52	cnf(s44, plain, ~spl0_15, inference(rat,[],[s13,s23])).
0.26/0.52	cnf(s45, plain, ~spl0_30, inference(rat,[],[s43,s44,s9])).
0.26/0.52	cnf(s46, plain, spl0_26, inference(rat,[],[s31,s44,s9])).
0.26/0.52	cnf(s47, plain, ~spl0_13, inference(rat,[],[s38,s10,s44,s45])).
0.26/0.52	cnf(s48, plain, spl0_11, inference(rat,[],[s34,s9,s46])).
0.26/0.52	cnf(s49, plain, $false, inference(rat,[],[s12,s47,s48])).
0.26/0.52	thf(f334,plain,(
0.26/0.52	  $false),
0.26/0.52	  inference(avatar_sat_refutation,[],[s49])).
0.26/0.52	% SZS output end Proof for theBenchmark
0.26/0.52	% (718017)------------------------------
0.26/0.52	% (718017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.26/0.52	% (718017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.26/0.52	% (718017)CaDiCaL version: 2.1.3
0.26/0.52	% (718017)Termination reason: Refutation
0.26/0.52	% (718017)Time elapsed: 0.017 s
0.26/0.52	% (718017)Peak memory usage: 13 MB
0.26/0.52	% (718017)Instructions burned: 14 (million)
0.26/0.52	% (718009)Success in time 0.067 s
0.26/0.52	% Vampire exiting
0.26/0.53	EOF