0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.18/0.43	% Computer : n013.cluster.edu
0.18/0.43	% Model    : x86_64 x86_64
0.18/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.43	% Memory   : 8046.5625MB
0.18/0.43	% OS       : Linux 6.8.0-71-generic
0.18/0.43	% CPULimit : 1440
0.18/0.43	% WCLimit  : 180
0.18/0.43	% DateTime : Mon Jul 27 09:42:54 UTC 2026
0.18/0.43	% CPUTime  : 
0.18/0.44	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.18/0.49	Running higher-order theorem proving
0.27/0.51	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
0.27/0.61	% (1288570)Detected a higher-order problem, will run a greedy HOL sequence.
0.27/0.61	% (1288580)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3907400581:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.27/0.61	% (1288581)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.27/0.61	% (1288581)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
0.27/0.61	% (1288579)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1212259968:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.27/0.61	% (1288575)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=701620303:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.27/0.61	% (1288577)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1240709971:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.27/0.61	% (1288581)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=993668103:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.27/0.61	% (1288578)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=3427250624: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)
0.27/0.61	% (1288577)Instruction limit reached! 
0.27/0.61	% (1288577)------------------------------
0.27/0.61	% (1288577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.27/0.61	% (1288577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.27/0.61	% (1288577)CaDiCaL version: 2.1.3
0.27/0.61	% (1288577)Termination reason: Instruction limit
0.27/0.61	% (1288577)Termination phase: Saturation
0.27/0.61	% (1288577)Time elapsed: 0.004 s
0.27/0.61	% (1288577)Peak memory usage: 12 MB
0.27/0.61	% (1288577)Instructions burned: 3 (million)
0.27/0.61	% (1288580)Instruction limit reached! 
0.27/0.61	% (1288580)------------------------------
0.27/0.61	% (1288580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.27/0.61	% (1288580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.27/0.61	% (1288580)CaDiCaL version: 2.1.3
0.27/0.61	% (1288580)Termination reason: Instruction limit
0.27/0.61	% (1288580)Termination phase: Saturation
0.27/0.61	% (1288580)Time elapsed: 0.033 s
0.27/0.61	% (1288580)Peak memory usage: 12 MB
0.27/0.61	% (1288580)Instructions burned: 77 (million)
0.27/0.61	% (1288579)Instruction limit reached! 
0.27/0.61	% (1288579)------------------------------
0.27/0.61	% (1288579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.27/0.61	% (1288579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.27/0.61	% (1288579)CaDiCaL version: 2.1.3
0.27/0.61	% (1288579)Termination reason: Instruction limit
0.27/0.61	% (1288579)Termination phase: Saturation
0.27/0.61	% (1288579)Time elapsed: 0.021 s
0.27/0.61	% (1288579)Peak memory usage: 12 MB
0.27/0.62	% (1288579)Instructions burned: 24 (million)
0.27/0.62	% (1288581) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1288570-1288581"...
0.27/0.62	% (1288576)lrs+10_16_si=on:nwc=1.5:random_seed=1553679092:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.27/0.62	% (1288581)...printing done.
0.27/0.62	% (1288581)Refutation found. Thanks to Tanya!
0.27/0.62	% SZS status Theorem for theBenchmark
0.27/0.62	% SZS output start Proof for theBenchmark
0.27/0.62	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.27/0.62	thf(func_def_2, type, b1: ($o > $i)).
0.27/0.62	thf(func_def_3, type, b2: ($o > $i)).
0.27/0.62	thf(func_def_7, type, vNOT: ($o > $o)).
0.27/0.62	thf(func_def_8, type, sK0: ($o > $i)).
0.27/0.62	thf(func_def_9, type, sF1: ($o > $o)).
0.27/0.62	thf(func_def_10, type, sF2: ($o > $i)).
0.27/0.62	thf(func_def_11, type, sF3: ($o > $i)).
0.27/0.62	thf(func_def_12, type, sK4: $o).
0.27/0.62	thf(func_def_13, type, sK5: $o).
0.27/0.62	thf(f1,conjecture,(
0.27/0.62	  ! [X0 : ($o > $i)] : (! [X1 : $o] : (((X0 @ ~X1)) != ((X0 @ X1))) => ((X0 = b1) | (X0 = b2)))),
0.27/0.62	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal)).
0.27/0.62	thf(f2,negated_conjecture,(
0.27/0.62	  ~ ! [X0 : ($o > $i)] : (! [X1 : $o] : (((X0 @ ~X1)) != ((X0 @ X1))) => ((X0 = b1) | (X0 = b2)))),
0.27/0.62	  inference(negated_conjecture,[status(cth)],[f1])).
0.27/0.62	thf(f3,axiom,(
0.27/0.62	  ! [X0 : $o] : ((X0 => (((b2 @ X0)) = two)) & (~X0 => (((b2 @ X0)) = one)))),
0.27/0.62	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2)).
0.27/0.62	thf(f5,axiom,(
0.27/0.62	  ! [X0 : $i] : ((X0 = one) | (X0 = two))),
0.27/0.62	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binarity_exhaust)).
0.27/0.62	thf(f6,axiom,(
0.27/0.62	  ! [X0 : $o] : ((~X0 => (((b1 @ X0)) = two)) & (X0 => (((b1 @ X0)) = one)))),
0.27/0.62	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1)).
0.27/0.62	thf(f7,plain,(
0.27/0.62	  ! [X0 : $o] : ((~X0 => (((b1 @ X0)) = two)) & (X0 => (((b1 @ X0)) = one)))),
0.27/0.62	  inference(rectify,[],[f6])).
0.27/0.62	thf(f8,plain,(
0.27/0.62	  ! [X0 : $o] : ((~ ($true = X0) => (two = ((b1 @ X0)))) & (($true = X0) => (one = ((b1 @ X0)))))),
0.27/0.62	  inference(fool_elimination,[],[f7])).
0.27/0.62	thf(f9,plain,(
0.27/0.62	  ! [X0 : $o] : ((X0 => (((b2 @ X0)) = two)) & (~X0 => (((b2 @ X0)) = one)))),
0.27/0.62	  inference(rectify,[],[f3])).
0.27/0.62	thf(f10,plain,(
0.27/0.62	  ! [X0 : $o] : ((($true = X0) => (((b2 @ X0)) = two)) & (~ ($true = X0) => (((b2 @ X0)) = one)))),
0.27/0.62	  inference(fool_elimination,[],[f9])).
0.27/0.62	thf(f11,plain,(
0.27/0.62	  ~ ! [X0 : ($o > $i)] : (! [X1 : $o] : (((X0 @ ~X1)) != ((X0 @ X1))) => ((X0 = b1) | (X0 = b2)))),
0.27/0.62	  inference(rectify,[],[f2])).
0.27/0.62	thf(f12,plain,(
0.27/0.62	  ~ ! [X0 : ($o > $i)] : (! [X1 : $o] : (((X0 @ X1)) != ((X0 @ (~ X1)))) => ((b1 = X0) | (b2 = X0)))),
0.27/0.62	  inference(fool_elimination,[],[f11])).
0.27/0.62	thf(f13,plain,(
0.27/0.62	  ! [X0 : $o] : ((($true = X0) => (one = ((b1 @ X0)))) & (($true != X0) => (two = ((b1 @ X0)))))),
0.27/0.62	  inference(flattening,[],[f8])).
0.27/0.62	thf(f14,plain,(
0.27/0.62	  ! [X0 : $o] : ((($true != X0) => (((b2 @ X0)) = one)) & (($true = X0) => (((b2 @ X0)) = two)))),
0.27/0.62	  inference(flattening,[],[f10])).
0.27/0.62	thf(f15,plain,(
0.27/0.62	  ! [X0 : $o] : (((two = ((b1 @ X0))) | ($true = X0)) & (($true != X0) | (one = ((b1 @ X0)))))),
0.27/0.62	  inference(ennf_transformation,[],[f13])).
0.27/0.62	thf(f16,plain,(
0.27/0.62	  ? [X0 : ($o > $i)] : (((b1 != X0) & (b2 != X0)) & ! [X1 : $o] : (((X0 @ X1)) != ((X0 @ (~ X1)))))),
0.27/0.62	  inference(ennf_transformation,[],[f12])).
0.27/0.62	thf(f17,plain,(
0.27/0.62	  ? [X0 : ($o > $i)] : ((b1 != X0) & (b2 != X0) & ! [X1 : $o] : (((X0 @ X1)) != ((X0 @ (~ X1)))))),
0.27/0.62	  inference(flattening,[],[f16])).
0.27/0.62	thf(f18,plain,(
0.27/0.62	  ! [X0 : $o] : (((((b2 @ X0)) = one) | ($true = X0)) & (($true != X0) | (((b2 @ X0)) = two)))),
0.27/0.62	  inference(ennf_transformation,[],[f14])).
0.27/0.62	thf(f19,plain,(
0.27/0.62	  (b1 != sK0) & (b2 != sK0) & ! [X1 : $o] : (((sK0 @ (~ X1))) != ((sK0 @ X1)))),
0.27/0.62	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17])).
0.27/0.62	thf(f20,plain,(
0.27/0.62	  ( ! [X1 : $o] : ((((sK0 @ (~ X1))) != ((sK0 @ X1)))) )),
0.27/0.62	  inference(cnf_transformation,[],[f19])).
0.27/0.62	thf(f21,plain,(
0.27/0.62	  (b2 != sK0)),
0.27/0.62	  inference(cnf_transformation,[],[f19])).
0.27/0.62	thf(f22,plain,(
0.27/0.62	  (b1 != sK0)),
0.27/0.62	  inference(cnf_transformation,[],[f19])).
0.27/0.62	thf(f23,plain,(
0.27/0.62	  ( ! [X0 : $i] : ((two = X0) | (one = X0)) )),
0.27/0.62	  inference(cnf_transformation,[],[f5])).
0.27/0.62	thf(f24,plain,(
0.27/0.62	  ( ! [X0 : $o] : (($true != X0) | (((b2 @ X0)) = two)) )),
0.27/0.62	  inference(cnf_transformation,[],[f18])).
0.27/0.62	thf(f25,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((((b2 @ X0)) = one) | ($true = X0)) )),
0.27/0.62	  inference(cnf_transformation,[],[f18])).
0.27/0.62	thf(f27,plain,(
0.27/0.62	  ( ! [X0 : $o] : (($true != X0) | (one = ((b1 @ X0)))) )),
0.27/0.62	  inference(cnf_transformation,[],[f15])).
0.27/0.62	thf(f28,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two = ((b1 @ X0))) | ($true = X0)) )),
0.27/0.62	  inference(cnf_transformation,[],[f15])).
0.27/0.62	thf(f30,definition,(
0.27/0.62	  ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
0.27/0.62	  introduced(theory,[fool_exhaustiveness_axiom])).
0.27/0.62	thf(f31,plain,(
0.27/0.62	  (two = ((b2 @ $true)))),
0.27/0.62	  inference(equality_resolution,[],[f24])).
0.27/0.62	thf(f32,plain,(
0.27/0.62	  (one = ((b1 @ $true)))),
0.27/0.62	  inference(equality_resolution,[],[f27])).
0.27/0.62	thf(f33,definition,(
0.27/0.62	  ( ! [X1 : $o] : ((((sF1 @ X1)) = ((~ X1)))) )),
0.27/0.62	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
0.27/0.62	thf(f34,plain,(
0.27/0.62	  ( ! [X1 : $o] : ((((~ X1)) = ((sF1 @ X1)))) )),
0.27/0.62	  inference(reorient_equations,[],[f33])).
0.27/0.62	thf(f35,definition,(
0.27/0.62	  ( ! [X1 : $o] : ((((sF2 @ X1)) = ((sK0 @ (sF1 @ X1))))) )),
0.27/0.62	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
0.27/0.62	thf(f36,definition,(
0.27/0.62	  ( ! [X1 : $o] : ((((sF3 @ X1)) = ((sK0 @ X1)))) )),
0.27/0.62	  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
0.27/0.62	thf(f37,plain,(
0.27/0.62	  ( ! [X1 : $o] : ((((sF3 @ X1)) != ((sF2 @ X1)))) )),
0.27/0.62	  inference(definition_folding,[],[f20,f36,f35,f34])).
0.27/0.62	thf(f42,plain,(
0.27/0.62	  (((b2 @ sK4)) != ((sK0 @ sK4)))),
0.27/0.62	  inference(negative_extensionality,[],[f21])).
0.27/0.62	thf(f43,plain,(
0.27/0.62	  (((b1 @ sK5)) != ((sK0 @ sK5)))),
0.27/0.62	  inference(negative_extensionality,[],[f22])).
0.27/0.62	thf(f50,definition,(
0.27/0.62	  spl6_1 <=> (two = ((sK0 @ sK5)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition])).
0.27/0.62	thf(f52,plain,(
0.27/0.62	  (two != ((sK0 @ sK5))) | spl6_1),
0.27/0.62	  inference(avatar_component_clause,[],[f50])).
0.27/0.62	thf(f63,definition,(
0.27/0.62	  spl6_4 <=> (two = ((sK0 @ sK4)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition])).
0.27/0.62	thf(f64,plain,(
0.27/0.62	  (two = ((sK0 @ sK4))) | ~spl6_4),
0.27/0.62	  inference(avatar_component_clause,[],[f63])).
0.27/0.62	thf(f65,plain,(
0.27/0.62	  (two != ((sK0 @ sK4))) | spl6_4),
0.27/0.62	  inference(avatar_component_clause,[],[f63])).
0.27/0.62	thf(f76,plain,(
0.27/0.62	  ($false = sK5) | (((b1 @ $true)) != ((sK0 @ $true)))),
0.27/0.62	  inference(constrained_superposition,[],[f43,f30])).
0.27/0.62	thf(f83,definition,(
0.27/0.62	  spl6_5 <=> (sK4 = $false)),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition])).
0.27/0.62	thf(f85,plain,(
0.27/0.62	  (sK4 = $false) | ~spl6_5),
0.27/0.62	  inference(avatar_component_clause,[],[f83])).
0.27/0.62	thf(f87,definition,(
0.27/0.62	  spl6_6 <=> (two = ((sK0 @ $true)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition])).
0.27/0.62	thf(f88,plain,(
0.27/0.62	  (two = ((sK0 @ $true))) | ~spl6_6),
0.27/0.62	  inference(avatar_component_clause,[],[f87])).
0.27/0.62	thf(f89,plain,(
0.27/0.62	  (two != ((sK0 @ $true))) | spl6_6),
0.27/0.62	  inference(avatar_component_clause,[],[f87])).
0.27/0.62	thf(f97,definition,(
0.27/0.62	  spl6_8 <=> (((b1 @ $true)) = ((sK0 @ $true)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition])).
0.27/0.62	thf(f99,plain,(
0.27/0.62	  (((b1 @ $true)) != ((sK0 @ $true))) | spl6_8),
0.27/0.62	  inference(avatar_component_clause,[],[f97])).
0.27/0.62	thf(f101,definition,(
0.27/0.62	  spl6_9 <=> ($false = sK5)),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition])).
0.27/0.62	thf(f103,plain,(
0.27/0.62	  ($false = sK5) | ~spl6_9),
0.27/0.62	  inference(avatar_component_clause,[],[f101])).
0.27/0.62	thf(f104,plain,(
0.27/0.62	  ~spl6_8 | spl6_9),
0.27/0.62	  inference(avatar_split_clause,[],[f76,f101,f97])).
0.27/0.62	thf(f110,definition,(
0.27/0.62	  spl6_10 <=> (one = ((sK0 @ $true)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition])).
0.27/0.62	thf(f112,plain,(
0.27/0.62	  (one = ((sK0 @ $true))) | ~spl6_10),
0.27/0.62	  inference(avatar_component_clause,[],[f110])).
0.27/0.62	thf(f124,plain,(
0.27/0.62	  (two != two) | (one = ((sK0 @ $true))) | spl6_6),
0.27/0.62	  inference(constrained_superposition,[],[f89,f23])).
0.27/0.62	thf(f125,plain,(
0.27/0.62	  (one = ((sK0 @ $true))) | spl6_6),
0.27/0.62	  inference(trivial_inequality_removal,[],[f124])).
0.27/0.62	thf(f126,plain,(
0.27/0.62	  spl6_10 | spl6_6),
0.27/0.62	  inference(avatar_split_clause,[],[f125,f87,f110])).
0.27/0.62	thf(f202,plain,(
0.27/0.62	  ($true = sK4) | (one != ((sK0 @ sK4)))),
0.27/0.62	  inference(constrained_superposition,[],[f42,f25])).
0.27/0.62	thf(f204,definition,(
0.27/0.62	  spl6_11 <=> ($true = sK4)),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition])).
0.27/0.62	thf(f205,plain,(
0.27/0.62	  ($true != sK4) | spl6_11),
0.27/0.62	  inference(avatar_component_clause,[],[f204])).
0.27/0.62	thf(f206,plain,(
0.27/0.62	  ($true = sK4) | ~spl6_11),
0.27/0.62	  inference(avatar_component_clause,[],[f204])).
0.27/0.62	thf(f208,definition,(
0.27/0.62	  spl6_12 <=> (one = ((sK0 @ sK4)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition])).
0.27/0.62	thf(f210,plain,(
0.27/0.62	  (one != ((sK0 @ sK4))) | spl6_12),
0.27/0.62	  inference(avatar_component_clause,[],[f208])).
0.27/0.62	thf(f211,plain,(
0.27/0.62	  spl6_11 | ~spl6_12),
0.27/0.62	  inference(avatar_split_clause,[],[f202,f208,f204])).
0.27/0.62	thf(f221,plain,(
0.27/0.62	  (((b2 @ $true)) != ((sK0 @ $true))) | ~spl6_11),
0.27/0.62	  inference(constrained_superposition,[],[f42,f206])).
0.27/0.62	thf(f223,plain,(
0.27/0.62	  (two != ((sK0 @ $true))) | ~spl6_11),
0.27/0.62	  inference(forward_demodulation,[],[f221,f31])).
0.27/0.62	thf(f224,plain,(
0.27/0.62	  ~spl6_6 | ~spl6_11),
0.27/0.62	  inference(avatar_split_clause,[],[f223,f204,f87])).
0.27/0.62	thf(f248,plain,(
0.27/0.62	  ($true = sK5) | (two != ((sK0 @ sK5)))),
0.27/0.62	  inference(constrained_superposition,[],[f43,f28])).
0.27/0.62	thf(f260,plain,(
0.27/0.62	  (two != ((sK0 @ $false))) | (spl6_1 | ~spl6_9)),
0.27/0.62	  inference(forward_demodulation,[],[f52,f103])).
0.27/0.62	thf(f264,plain,(
0.27/0.62	  (one = ((sK0 @ $false))) | (two != two) | (spl6_1 | ~spl6_9)),
0.27/0.62	  inference(constrained_superposition,[],[f260,f23])).
0.27/0.62	thf(f265,plain,(
0.27/0.62	  (one = ((sK0 @ $false))) | (spl6_1 | ~spl6_9)),
0.27/0.62	  inference(trivial_inequality_removal,[],[f264])).
0.27/0.62	thf(f438,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((((sF1 @ X0)) = $false) | (((sK0 @ $true)) = ((sF2 @ X0)))) )),
0.27/0.62	  inference(constrained_superposition,[],[f35,f30])).
0.27/0.62	thf(f448,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((((sF1 @ X0)) = $false) | (one = ((sF2 @ X0)))) ) | ~spl6_10),
0.27/0.62	  inference(forward_demodulation,[],[f438,f112])).
0.27/0.62	thf(f454,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((one = ((sF2 @ X0))) | (((sK0 @ $false)) = ((sF2 @ X0)))) ) | ~spl6_10),
0.27/0.62	  inference(constrained_superposition,[],[f35,f448])).
0.27/0.62	thf(f456,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((one = ((sF2 @ X0))) | (one = ((sF2 @ X0)))) ) | (spl6_1 | ~spl6_9 | ~spl6_10)),
0.27/0.62	  inference(forward_demodulation,[],[f454,f265])).
0.27/0.62	thf(f457,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((one = ((sF2 @ X0)))) ) | (spl6_1 | ~spl6_9 | ~spl6_10)),
0.27/0.62	  inference(duplicate_literal_removal,[],[f456])).
0.27/0.62	thf(f464,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((one != ((sF3 @ X0)))) ) | (spl6_1 | ~spl6_9 | ~spl6_10)),
0.27/0.62	  inference(constrained_superposition,[],[f37,f457])).
0.27/0.62	thf(f469,definition,(
0.27/0.62	  spl6_20 <=> ! [X0 : $o] : (one != ((sK0 @ X0)))),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition])).
0.27/0.62	thf(f470,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((one != ((sK0 @ X0)))) ) | ~spl6_20),
0.27/0.62	  inference(avatar_component_clause,[],[f469])).
0.27/0.62	thf(f474,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((one != ((sK0 @ X0)))) ) | (spl6_1 | ~spl6_9 | ~spl6_10)),
0.27/0.62	  inference(forward_demodulation,[],[f464,f36])).
0.27/0.62	thf(f475,plain,(
0.27/0.62	  spl6_20 | spl6_1 | ~spl6_9 | ~spl6_10),
0.27/0.62	  inference(avatar_split_clause,[],[f474,f110,f101,f50,f469])).
0.27/0.62	thf(f479,plain,(
0.27/0.62	  (one != one) | (~spl6_10 | ~spl6_20)),
0.27/0.62	  inference(constrained_superposition,[],[f470,f112])).
0.27/0.62	thf(f484,plain,(
0.27/0.62	  $false | (~spl6_10 | ~spl6_20)),
0.27/0.62	  inference(trivial_inequality_removal,[],[f479])).
0.27/0.62	thf(f485,plain,(
0.27/0.62	  ~spl6_10 | ~spl6_20),
0.27/0.62	  inference(avatar_contradiction_clause,[],[f484])).
0.27/0.62	thf(f506,definition,(
0.27/0.62	  spl6_24 <=> ($true = sK5)),
0.27/0.62	  introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition])).
0.27/0.62	thf(f508,plain,(
0.27/0.62	  ($true = sK5) | ~spl6_24),
0.27/0.62	  inference(avatar_component_clause,[],[f506])).
0.27/0.62	thf(f509,plain,(
0.27/0.62	  spl6_24 | ~spl6_1),
0.27/0.62	  inference(avatar_split_clause,[],[f248,f50,f506])).
0.27/0.62	thf(f511,plain,(
0.27/0.62	  (one != ((sK0 @ $true))) | spl6_8),
0.27/0.62	  inference(forward_demodulation,[],[f99,f32])).
0.27/0.62	thf(f522,plain,(
0.27/0.62	  ~spl6_10 | spl6_8),
0.27/0.62	  inference(avatar_split_clause,[],[f511,f97,f110])).
0.27/0.62	thf(f524,plain,(
0.27/0.62	  ($true != $true) | (sK4 = $false) | spl6_11),
0.27/0.62	  inference(constrained_superposition,[],[f205,f30])).
0.27/0.62	thf(f525,plain,(
0.27/0.62	  (sK4 = $false) | spl6_11),
0.27/0.62	  inference(trivial_inequality_removal,[],[f524])).
0.27/0.62	thf(f526,plain,(
0.27/0.62	  spl6_5 | spl6_11),
0.27/0.62	  inference(avatar_split_clause,[],[f525,f204,f83])).
0.27/0.62	thf(f528,plain,(
0.27/0.62	  (((b1 @ $true)) != ((sK0 @ $true))) | ~spl6_24),
0.27/0.62	  inference(constrained_superposition,[],[f43,f508])).
0.27/0.62	thf(f529,plain,(
0.27/0.62	  (one != ((sK0 @ $true))) | ~spl6_24),
0.27/0.62	  inference(forward_demodulation,[],[f528,f32])).
0.27/0.62	thf(f530,plain,(
0.27/0.62	  ~spl6_10 | ~spl6_24),
0.27/0.62	  inference(avatar_split_clause,[],[f529,f506,f110])).
0.27/0.62	thf(f540,plain,(
0.27/0.62	  (two != ((sK0 @ $false))) | (spl6_4 | ~spl6_5)),
0.27/0.62	  inference(forward_demodulation,[],[f65,f85])).
0.27/0.62	thf(f541,plain,(
0.27/0.62	  (one != ((sK0 @ $false))) | (~spl6_5 | spl6_12)),
0.27/0.62	  inference(forward_demodulation,[],[f210,f85])).
0.27/0.62	thf(f547,plain,(
0.27/0.62	  (two != two) | (one = ((sK0 @ $false))) | (spl6_4 | ~spl6_5)),
0.27/0.62	  inference(constrained_superposition,[],[f540,f23])).
0.27/0.62	thf(f548,plain,(
0.27/0.62	  (one = ((sK0 @ $false))) | (spl6_4 | ~spl6_5)),
0.27/0.62	  inference(trivial_inequality_removal,[],[f547])).
0.27/0.62	thf(f559,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two = ((sK0 @ X0))) | ($false = X0)) ) | ~spl6_6),
0.27/0.62	  inference(constrained_superposition,[],[f88,f30])).
0.27/0.62	thf(f565,plain,(
0.27/0.62	  $false | (spl6_4 | ~spl6_5 | spl6_12)),
0.27/0.62	  inference(forward_subsumption_resolution,[],[f548,f541])).
0.27/0.62	thf(f566,plain,(
0.27/0.62	  spl6_4 | ~spl6_5 | spl6_12),
0.27/0.62	  inference(avatar_contradiction_clause,[],[f565])).
0.27/0.62	thf(f567,plain,(
0.27/0.62	  (two = ((sK0 @ $false))) | (~spl6_4 | ~spl6_5)),
0.27/0.62	  inference(forward_demodulation,[],[f64,f85])).
0.27/0.62	thf(f576,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((((sF1 @ X0)) = $false) | (two = ((sF2 @ X0)))) ) | ~spl6_6),
0.27/0.62	  inference(constrained_superposition,[],[f559,f35])).
0.27/0.62	thf(f695,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((((sK0 @ $false)) = ((sF2 @ X0))) | (two = ((sF2 @ X0)))) ) | ~spl6_6),
0.27/0.62	  inference(constrained_superposition,[],[f35,f576])).
0.27/0.62	thf(f699,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two = ((sF2 @ X0))) | (two = ((sF2 @ X0)))) ) | (~spl6_4 | ~spl6_5 | ~spl6_6)),
0.27/0.62	  inference(forward_demodulation,[],[f695,f567])).
0.27/0.62	thf(f700,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two = ((sF2 @ X0)))) ) | (~spl6_4 | ~spl6_5 | ~spl6_6)),
0.27/0.62	  inference(duplicate_literal_removal,[],[f699])).
0.27/0.62	thf(f706,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two != ((sF3 @ X0)))) ) | (~spl6_4 | ~spl6_5 | ~spl6_6)),
0.27/0.62	  inference(constrained_superposition,[],[f37,f700])).
0.27/0.62	thf(f712,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two != ((sK0 @ X0)))) ) | (~spl6_4 | ~spl6_5 | ~spl6_6)),
0.27/0.62	  inference(forward_demodulation,[],[f706,f36])).
0.27/0.62	thf(f721,plain,(
0.27/0.62	  ( ! [X0 : $o] : ((two != ((sF2 @ X0)))) ) | (~spl6_4 | ~spl6_5 | ~spl6_6)),
0.27/0.62	  inference(constrained_superposition,[],[f712,f35])).
0.27/0.62	thf(f737,plain,(
0.27/0.62	  $false | (~spl6_4 | ~spl6_5 | ~spl6_6)),
0.27/0.62	  inference(forward_subsumption_resolution,[],[f721,f700])).
0.27/0.62	thf(f738,plain,(
0.27/0.62	  ~spl6_4 | ~spl6_5 | ~spl6_6),
0.27/0.62	  inference(avatar_contradiction_clause,[],[f737])).
0.27/0.62	cnf(s5, plain, ~spl6_8 | spl6_9, inference(sat_conversion,[],[f104])).
0.27/0.62	cnf(s9, plain, spl6_6 | spl6_10, inference(sat_conversion,[],[f126])).
0.27/0.62	cnf(s19, plain, spl6_11 | ~spl6_12, inference(sat_conversion,[],[f211])).
0.27/0.62	cnf(s21, plain, ~spl6_6 | ~spl6_11, inference(sat_conversion,[],[f224])).
0.27/0.62	cnf(s41, plain, spl6_1 | ~spl6_9 | ~spl6_10 | spl6_20, inference(sat_conversion,[],[f475])).
0.27/0.62	cnf(s42, plain, ~spl6_10 | ~spl6_20, inference(sat_conversion,[],[f485])).
0.27/0.62	cnf(s48, plain, ~spl6_1 | spl6_24, inference(sat_conversion,[],[f509])).
0.27/0.62	cnf(s50, plain, spl6_8 | ~spl6_10, inference(sat_conversion,[],[f522])).
0.27/0.62	cnf(s52, plain, spl6_5 | spl6_11, inference(sat_conversion,[],[f526])).
0.27/0.62	cnf(s53, plain, ~spl6_10 | ~spl6_24, inference(sat_conversion,[],[f530])).
0.27/0.62	cnf(s56, plain, spl6_4 | ~spl6_5 | spl6_12, inference(sat_conversion,[],[f566])).
0.27/0.62	cnf(s65, plain, ~spl6_4 | ~spl6_5 | ~spl6_6, inference(sat_conversion,[],[f738])).
0.27/0.62	cnf(s69, plain, ~spl6_10 | spl6_1, inference(rat,[],[s5,s41,s42,s50])).
0.27/0.62	cnf(s70, plain, ~spl6_6, inference(rat,[],[s56,s65,s19,s52,s21])).
0.27/0.62	cnf(s72, plain, spl6_10, inference(rat,[],[s9,s70])).
0.27/0.62	cnf(s73, plain, ~spl6_24, inference(rat,[],[s53,s72])).
0.27/0.62	cnf(s76, plain, spl6_1, inference(rat,[],[s69,s72])).
0.27/0.62	cnf(s77, plain, $false, inference(rat,[],[s48,s73,s76])).
0.27/0.62	thf(f746,plain,(
0.27/0.62	  $false),
0.27/0.62	  inference(avatar_sat_refutation,[],[s77])).
0.27/0.62	% SZS output end Proof for theBenchmark
0.27/0.62	% (1288581)------------------------------
0.27/0.62	% (1288581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.27/0.62	% (1288581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.27/0.62	% (1288581)CaDiCaL version: 2.1.3
0.27/0.62	% (1288581)Termination reason: Refutation
0.27/0.62	% (1288581)Time elapsed: 0.034 s
0.27/0.62	% (1288581)Peak memory usage: 13 MB
0.27/0.62	% (1288581)Instructions burned: 32 (million)
0.27/0.62	% (1288570)Success in time 0.09 s
0.27/0.62	% Vampire exiting
0.27/0.62	EOF