0.00/0.01	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.04/0.30	% Computer : n012.cluster.edu
0.04/0.30	% Model    : x86_64 x86_64
0.04/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.04/0.30	% Memory   : 8046.5625MB
0.04/0.30	% OS       : Linux 6.8.0-71-generic
0.04/0.30	% CPULimit : 1440
0.04/0.30	% WCLimit  : 180
0.04/0.30	% DateTime : Mon Jul 27 09:28:18 UTC 2026
0.04/0.30	% CPUTime  : 
0.04/0.30	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.04/0.32	Running higher-order theorem proving
0.08/0.33	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
0.08/0.37	% (1821949)Detected a higher-order problem, will run a greedy HOL sequence.
0.08/0.37	% (1821960)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
0.08/0.37	% (1821960)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
0.08/0.37	% (1821955)lrs+10_16_si=on:nwc=1.5:random_seed=3499364151:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi)
0.08/0.37	% (1821954)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=64300431:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi)
0.08/0.37	% (1821956)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1953416504:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi)
0.08/0.37	% (1821957)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=2050955208: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)
0.08/0.37	% (1821958)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=502143575:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi)
0.08/0.37	% (1821960)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=2994415180:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi)
0.08/0.37	% (1821959)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3183374862:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi)
0.08/0.37	% (1821954) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821954"...
0.08/0.37	% (1821959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821959"...
0.08/0.37	% (1821956) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821956"...
0.08/0.37	% (1821955) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821955"...
0.08/0.37	% (1821958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821958"...
0.08/0.37	% (1821957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821957"...
0.08/0.37	% (1821960) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821949-1821960"...
0.08/0.37	% (1821959)...printing done.
0.08/0.37	% (1821954)...printing done.
0.08/0.37	% (1821956)...printing done.
0.08/0.37	% (1821958)...printing done.
0.08/0.37	% (1821955)...printing done.
0.08/0.37	% (1821957)...printing done.
0.08/0.37	% (1821960)...printing done.
0.08/0.37	% (1821959)Refutation found. Thanks to Tanya!
0.08/0.37	% SZS status Theorem for theBenchmark
0.08/0.37	% SZS output start Proof for theBenchmark
0.08/0.37	thf(type_def_5, type, lst: $tType).
0.08/0.37	thf(type_def_6, type, a: $tType).
0.08/0.37	thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
0.08/0.37	thf(func_def_0, type, ap: (lst > lst > lst)).
0.08/0.37	thf(func_def_1, type, cns: (a > lst > lst)).
0.08/0.37	thf(func_def_2, type, nl: lst).
0.08/0.37	thf(func_def_3, type, xs: lst).
0.08/0.37	thf(func_def_5, type, sK0: lst).
0.08/0.37	thf(func_def_6, type, sK1: lst).
0.08/0.37	thf(func_def_7, type, sK2: lst).
0.08/0.37	thf(func_def_8, type, sK3: a).
0.08/0.37	thf(func_def_9, type, sK4: lst).
0.08/0.37	thf(func_def_10, type, sK5: lst).
0.08/0.37	thf(func_def_11, type, sK6: lst).
0.08/0.37	thf(func_def_12, type, sK7: lst).
0.08/0.37	thf(f1,axiom,(
0.08/0.37	  ! [X0 : lst] : (! [X5 : lst,X6 : lst] : (((ap @ nl @ (ap @ X5 @ X6))) = ((ap @ (ap @ nl @ X5) @ X6))) => (! [X2 : lst,X1 : a] : (! [X4 : lst,X3 : lst] : (((ap @ X2 @ (ap @ X3 @ X4))) = ((ap @ (ap @ X2 @ X3) @ X4))) => ! [X5 : lst,X6 : lst] : (((ap @ (cns @ X1 @ X2) @ (ap @ X5 @ X6))) = ((ap @ (ap @ (cns @ X1 @ X2) @ X5) @ X6)))) => ! [X3 : lst,X4 : lst] : (((ap @ X0 @ (ap @ X3 @ X4))) = ((ap @ (ap @ X0 @ X3) @ X4)))))),
0.08/0.37	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093)).
0.08/0.37	thf(f2,conjecture,(
0.08/0.37	  ! [X1 : lst,X0 : lst] : (((ap @ xs @ (ap @ X0 @ X1))) = ((ap @ (ap @ xs @ X0) @ X1)))),
0.08/0.37	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
0.08/0.37	thf(f3,negated_conjecture,(
0.08/0.37	  ~ ! [X1 : lst,X0 : lst] : (((ap @ xs @ (ap @ X0 @ X1))) = ((ap @ (ap @ xs @ X0) @ X1)))),
0.08/0.37	  inference(negated_conjecture,[status(cth)],[f2])).
0.08/0.37	thf(f4,axiom,(
0.08/0.37	  ! [X0 : lst] : (((ap @ nl @ X0)) = X0)),
0.08/0.37	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2p_Osimps_I1_J)).
0.08/0.37	thf(f5,axiom,(
0.08/0.37	  ! [X1 : lst,X2 : a,X0 : lst] : (((ap @ (cns @ X2 @ X1) @ X0)) = ((cns @ X2 @ (ap @ X1 @ X0))))),
0.08/0.37	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1p_Osimps_I2_J)).
0.08/0.37	thf(f6,plain,(
0.08/0.37	  ! [X0 : lst] : (! [X2 : lst,X1 : lst] : (((ap @ (ap @ nl @ X1) @ X2)) = ((ap @ nl @ (ap @ X1 @ X2)))) => (! [X3 : lst,X4 : a] : (! [X5 : lst,X6 : lst] : (((ap @ X3 @ (ap @ X6 @ X5))) = ((ap @ (ap @ X3 @ X6) @ X5))) => ! [X7 : lst,X8 : lst] : (((ap @ (cns @ X4 @ X3) @ (ap @ X7 @ X8))) = ((ap @ (ap @ (cns @ X4 @ X3) @ X7) @ X8)))) => ! [X9 : lst,X10 : lst] : (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))))),
0.08/0.37	  inference(rectify,[],[f1])).
0.08/0.37	thf(f7,plain,(
0.08/0.37	  ~ ! [X1 : lst,X0 : lst] : (((ap @ (ap @ xs @ X1) @ X0)) = ((ap @ xs @ (ap @ X1 @ X0))))),
0.08/0.37	  inference(rectify,[],[f3])).
0.08/0.37	thf(f8,plain,(
0.08/0.37	  ? [X0 : lst,X1 : lst] : (((ap @ (ap @ xs @ X1) @ X0)) != ((ap @ xs @ (ap @ X1 @ X0))))),
0.08/0.37	  inference(ennf_transformation,[],[f7])).
0.08/0.37	thf(f9,plain,(
0.08/0.37	  ! [X0 : lst] : ((! [X9 : lst,X10 : lst] : (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10))) | ? [X3 : lst,X4 : a] : (? [X7 : lst,X8 : lst] : (((ap @ (cns @ X4 @ X3) @ (ap @ X7 @ X8))) != ((ap @ (ap @ (cns @ X4 @ X3) @ X7) @ X8))) & ! [X5 : lst,X6 : lst] : (((ap @ X3 @ (ap @ X6 @ X5))) = ((ap @ (ap @ X3 @ X6) @ X5))))) | ? [X1 : lst,X2 : lst] : (((ap @ (ap @ nl @ X1) @ X2)) != ((ap @ nl @ (ap @ X1 @ X2)))))),
0.08/0.37	  inference(ennf_transformation,[],[f6])).
0.08/0.37	thf(f10,plain,(
0.08/0.37	  ! [X0 : lst] : (? [X3 : lst,X4 : a] : (? [X7 : lst,X8 : lst] : (((ap @ (cns @ X4 @ X3) @ (ap @ X7 @ X8))) != ((ap @ (ap @ (cns @ X4 @ X3) @ X7) @ X8))) & ! [X5 : lst,X6 : lst] : (((ap @ X3 @ (ap @ X6 @ X5))) = ((ap @ (ap @ X3 @ X6) @ X5)))) | ? [X1 : lst,X2 : lst] : (((ap @ (ap @ nl @ X1) @ X2)) != ((ap @ nl @ (ap @ X1 @ X2)))) | ! [X9 : lst,X10 : lst] : (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10))))),
0.08/0.37	  inference(flattening,[],[f9])).
0.08/0.37	thf(f11,plain,(
0.08/0.37	  (((ap @ (ap @ xs @ sK1) @ sK0)) != ((ap @ xs @ (ap @ sK1 @ sK0))))),
0.08/0.37	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8])).
0.08/0.37	thf(f12,plain,(
0.08/0.37	  ! [X0 : lst,X1 : a,X2 : lst] : (((ap @ (cns @ X1 @ X0) @ X2)) = ((cns @ X1 @ (ap @ X0 @ X2))))),
0.08/0.37	  inference(rectify,[],[f5])).
0.08/0.37	thf(f13,plain,(
0.08/0.37	  ! [X0 : lst] : (? [X1 : lst,X2 : a] : (? [X3 : lst,X4 : lst] : (((ap @ (ap @ (cns @ X2 @ X1) @ X3) @ X4)) != ((ap @ (cns @ X2 @ X1) @ (ap @ X3 @ X4)))) & ! [X5 : lst,X6 : lst] : (((ap @ X1 @ (ap @ X6 @ X5))) = ((ap @ (ap @ X1 @ X6) @ X5)))) | ? [X7 : lst,X8 : lst] : (((ap @ nl @ (ap @ X7 @ X8))) != ((ap @ (ap @ nl @ X7) @ X8))) | ! [X9 : lst,X10 : lst] : (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10))))),
0.08/0.37	  inference(rectify,[],[f10])).
0.08/0.37	thf(f14,plain,(
0.08/0.37	  ! [X0 : lst] : (((((ap @ (ap @ (cns @ sK3 @ sK2) @ sK4) @ sK5)) != ((ap @ (cns @ sK3 @ sK2) @ (ap @ sK4 @ sK5)))) & ! [X5 : lst,X6 : lst] : (((ap @ sK2 @ (ap @ X6 @ X5))) = ((ap @ (ap @ sK2 @ X6) @ X5)))) | (((ap @ nl @ (ap @ sK6 @ sK7))) != ((ap @ (ap @ nl @ sK6) @ sK7))) | ! [X9 : lst,X10 : lst] : (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10))))),
0.08/0.37	  inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X7,sK6),skolemize(X8,sK7)],[f13])).
0.08/0.37	thf(f15,plain,(
0.08/0.37	  (((ap @ (ap @ xs @ sK1) @ sK0)) != ((ap @ xs @ (ap @ sK1 @ sK0))))),
0.08/0.37	  inference(cnf_transformation,[],[f11])).
0.08/0.37	thf(f16,plain,(
0.08/0.37	  ( ! [X0 : lst] : ((((ap @ nl @ X0)) = X0)) )),
0.08/0.37	  inference(cnf_transformation,[],[f4])).
0.08/0.37	thf(f17,plain,(
0.08/0.37	  ( ! [X2 : lst,X0 : lst,X1 : a] : ((((ap @ (cns @ X1 @ X0) @ X2)) = ((cns @ X1 @ (ap @ X0 @ X2))))) )),
0.08/0.37	  inference(cnf_transformation,[],[f12])).
0.08/0.37	thf(f18,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X6 : lst,X9 : lst,X5 : lst] : ((((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10))) | (((ap @ nl @ (ap @ sK6 @ sK7))) != ((ap @ (ap @ nl @ sK6) @ sK7))) | (((ap @ sK2 @ (ap @ X6 @ X5))) = ((ap @ (ap @ sK2 @ X6) @ X5)))) )),
0.08/0.37	  inference(cnf_transformation,[],[f14])).
0.08/0.37	thf(f19,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10))) | (((ap @ nl @ (ap @ sK6 @ sK7))) != ((ap @ (ap @ nl @ sK6) @ sK7))) | (((ap @ (ap @ (cns @ sK3 @ sK2) @ sK4) @ sK5)) != ((ap @ (cns @ sK3 @ sK2) @ (ap @ sK4 @ sK5))))) )),
0.08/0.37	  inference(cnf_transformation,[],[f14])).
0.08/0.37	thf(f21,definition,(
0.08/0.37	  spl8_1 <=> ! [X9 : lst,X0 : lst,X10 : lst] : (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))),
0.08/0.37	  introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition])).
0.08/0.37	thf(f22,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))) ) | ~spl8_1),
0.08/0.37	  inference(avatar_component_clause,[],[f21])).
0.08/0.37	thf(f24,definition,(
0.08/0.37	  spl8_2 <=> ! [X6 : lst,X5 : lst] : (((ap @ sK2 @ (ap @ X6 @ X5))) = ((ap @ (ap @ sK2 @ X6) @ X5)))),
0.08/0.37	  introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition])).
0.08/0.37	thf(f25,plain,(
0.08/0.37	  ( ! [X6 : lst,X5 : lst] : ((((ap @ sK2 @ (ap @ X6 @ X5))) = ((ap @ (ap @ sK2 @ X6) @ X5)))) ) | ~spl8_2),
0.08/0.37	  inference(avatar_component_clause,[],[f24])).
0.08/0.37	thf(f27,definition,(
0.08/0.37	  spl8_3 <=> (((ap @ nl @ (ap @ sK6 @ sK7))) = ((ap @ (ap @ nl @ sK6) @ sK7)))),
0.08/0.37	  introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])).
0.08/0.37	thf(f28,plain,(
0.08/0.37	  (((ap @ nl @ (ap @ sK6 @ sK7))) != ((ap @ (ap @ nl @ sK6) @ sK7))) | spl8_3),
0.08/0.37	  inference(avatar_component_clause,[],[f27])).
0.08/0.37	thf(f29,plain,(
0.08/0.37	  spl8_1 | spl8_2 | ~spl8_3),
0.08/0.37	  inference(avatar_split_clause,[],[f18,f27,f24,f21])).
0.08/0.37	thf(f30,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((ap @ sK6 @ sK7)) != ((ap @ nl @ (ap @ sK6 @ sK7)))) | (((ap @ (ap @ (cns @ sK3 @ sK2) @ sK4) @ sK5)) != ((ap @ (cns @ sK3 @ sK2) @ (ap @ sK4 @ sK5)))) | (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))) )),
0.08/0.37	  inference(forward_demodulation,[],[f19,f16])).
0.08/0.37	thf(f31,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((ap @ (ap @ (cns @ sK3 @ sK2) @ sK4) @ sK5)) != ((ap @ (cns @ sK3 @ sK2) @ (ap @ sK4 @ sK5)))) | (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))) )),
0.08/0.37	  inference(forward_subsumption_resolution,[],[f30,f16])).
0.08/0.37	thf(f32,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((ap @ (ap @ (cns @ sK3 @ sK2) @ sK4) @ sK5)) != ((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5))))) | (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))) )),
0.08/0.37	  inference(forward_demodulation,[],[f31,f17])).
0.08/0.37	thf(f33,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5)))) != ((ap @ (cns @ sK3 @ (ap @ sK2 @ sK4)) @ sK5))) | (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))) )),
0.08/0.37	  inference(forward_demodulation,[],[f32,f17])).
0.08/0.37	thf(f34,plain,(
0.08/0.37	  ( ! [X10 : lst,X0 : lst,X9 : lst] : ((((cns @ sK3 @ (ap @ (ap @ sK2 @ sK4) @ sK5))) != ((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5))))) | (((ap @ X0 @ (ap @ X9 @ X10))) = ((ap @ (ap @ X0 @ X9) @ X10)))) )),
0.08/0.37	  inference(forward_demodulation,[],[f33,f17])).
0.08/0.37	thf(f36,definition,(
0.08/0.37	  spl8_4 <=> (((cns @ sK3 @ (ap @ (ap @ sK2 @ sK4) @ sK5))) = ((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5)))))),
0.08/0.37	  introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])).
0.08/0.37	thf(f37,plain,(
0.08/0.37	  (((cns @ sK3 @ (ap @ (ap @ sK2 @ sK4) @ sK5))) != ((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5))))) | spl8_4),
0.08/0.37	  inference(avatar_component_clause,[],[f36])).
0.08/0.37	thf(f38,plain,(
0.08/0.37	  spl8_1 | ~spl8_4),
0.08/0.37	  inference(avatar_split_clause,[],[f34,f36,f21])).
0.08/0.37	thf(f39,plain,(
0.08/0.37	  (((ap @ sK6 @ sK7)) != ((ap @ nl @ (ap @ sK6 @ sK7)))) | spl8_3),
0.08/0.37	  inference(forward_demodulation,[],[f28,f16])).
0.08/0.37	thf(f40,plain,(
0.08/0.37	  $false | spl8_3),
0.08/0.37	  inference(forward_subsumption_resolution,[],[f39,f16])).
0.08/0.37	thf(f41,plain,(
0.08/0.37	  spl8_3),
0.08/0.37	  inference(avatar_contradiction_clause,[],[f40])).
0.08/0.37	thf(f42,plain,(
0.08/0.37	  (((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5)))) != ((cns @ sK3 @ (ap @ sK2 @ (ap @ sK4 @ sK5))))) | (~spl8_2 | spl8_4)),
0.08/0.37	  inference(backward_demodulation,[],[f37,f25])).
0.08/0.37	thf(f43,plain,(
0.08/0.37	  $false | (~spl8_2 | spl8_4)),
0.08/0.37	  inference(trivial_inequality_removal,[],[f42])).
0.08/0.37	thf(f44,plain,(
0.08/0.37	  ~spl8_2 | spl8_4),
0.08/0.37	  inference(avatar_contradiction_clause,[],[f43])).
0.08/0.37	thf(f45,plain,(
0.08/0.37	  (((ap @ xs @ (ap @ sK1 @ sK0))) != ((ap @ xs @ (ap @ sK1 @ sK0)))) | ~spl8_1),
0.08/0.37	  inference(backward_demodulation,[],[f15,f22])).
0.08/0.37	thf(f46,plain,(
0.08/0.37	  $false | ~spl8_1),
0.08/0.37	  inference(trivial_inequality_removal,[],[f45])).
0.08/0.37	thf(f47,plain,(
0.08/0.37	  ~spl8_1),
0.08/0.37	  inference(avatar_contradiction_clause,[],[f46])).
0.08/0.37	cnf(s1, plain, spl8_1 | spl8_2 | ~spl8_3, inference(sat_conversion,[],[f29])).
0.08/0.37	cnf(s2, plain, spl8_1 | ~spl8_4, inference(sat_conversion,[],[f38])).
0.08/0.37	cnf(s3, plain, spl8_3, inference(sat_conversion,[],[f41])).
0.08/0.37	cnf(s4, plain, ~spl8_2 | spl8_4, inference(sat_conversion,[],[f44])).
0.08/0.37	cnf(s5, plain, ~spl8_1, inference(sat_conversion,[],[f47])).
0.08/0.37	cnf(s6, plain, ~spl8_4, inference(rat,[],[s2,s5])).
0.08/0.37	cnf(s7, plain, ~spl8_2, inference(rat,[],[s4,s6])).
0.08/0.37	cnf(s8, plain, $false, inference(rat,[],[s1,s3,s7,s5])).
0.08/0.37	thf(f48,plain,(
0.08/0.37	  $false),
0.08/0.37	  inference(avatar_sat_refutation,[],[s8])).
0.08/0.37	% SZS output end Proof for theBenchmark
0.08/0.37	% (1821959)------------------------------
0.08/0.37	% (1821959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
0.08/0.37	% (1821959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.08/0.37	% (1821959)CaDiCaL version: 2.1.3
0.08/0.37	% (1821959)Termination reason: Refutation
0.08/0.37	% (1821959)Time elapsed: 0.002 s
0.08/0.37	% (1821959)Peak memory usage: 12 MB
0.08/0.37	% (1821959)Instructions burned: 6 (million)
0.08/0.37	% (1821949)Success in time 0.034 s
0.08/0.37	% Vampire exiting
0.08/0.37	EOF