%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR126^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:47:04 AM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR126^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:53:11 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.31 % (3714533)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.31 % (3714541)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=3891625838: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_2999 on theBenchmark for (2999ds/634Mi)
% 0.24/0.31 % (3714544)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.31 % (3714544)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
% 0.24/0.31 % (3714538)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2488934400:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.31 % (3714539)lrs+10_16_si=on:nwc=1.5:random_seed=3766641543:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.31 % (3714540)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2012842629:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.24/0.31 % (3714542)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2897401560:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.24/0.31 % (3714543)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3732295454:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.24/0.31 % (3714544)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=1993237560:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.24/0.31 % (3714540)Instruction limit reached!
% 0.24/0.31 % (3714540)------------------------------
% 0.24/0.31 % (3714540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.31 % (3714540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.31 % (3714540)CaDiCaL version: 2.1.3
% 0.24/0.31 % (3714540)Termination reason: Instruction limit
% 0.24/0.31 % (3714540)Termination phase: shuffling
% 0.24/0.31 % (3714540)Time elapsed: 0.003 s
% 0.24/0.31 % (3714540)Peak memory usage: 10 MB
% 0.24/0.31 % (3714540)Instructions burned: 6 (million)
% 0.24/0.31 % (3714541) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3714533-3714541"...
% 0.24/0.31 % (3714541)...printing done.
% 0.24/0.31 % (3714541)Refutation found. Thanks to Tanya!
% 0.24/0.31 % SZS status Theorem for theBenchmark
% 0.24/0.31 % SZS output start Proof for theBenchmark
% 0.24/0.31 thf(type_def_5, type, num: $tType).
% 0.24/0.31 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.24/0.31 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.24/0.31 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.24/0.31 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.24/0.31 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.24/0.31 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.24/0.31 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.24/0.31 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.24/0.31 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.24/0.31 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.24/0.31 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.24/0.31 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.24/0.31 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.24/0.31 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.24/0.31 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.24/0.31 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.24/0.31 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.24/0.31 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.24/0.31 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.24/0.31 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.24/0.31 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.24/0.31 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.24/0.31 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.24/0.31 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.24/0.31 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.24/0.31 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.24/0.31 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.24/0.31 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.24/0.31 thf(func_def_92, type, vIMP: ($o > $o > $o)).
% 0.24/0.31 thf(func_def_93, type, vAND: ($o > $o > $o)).
% 0.24/0.31 thf(func_def_94, type, sK0: (($i > $i > $o) > $i)).
% 0.24/0.31 thf(func_def_95, type, sK1: (($i > $i > $o) > $i)).
% 0.24/0.31 thf(func_def_96, type, sK2: (($i > $i > $o) > $i)).
% 0.24/0.31 thf(func_def_98, type, sK4: ($i > $i > $i)).
% 0.24/0.31 thf(func_def_99, type, sK5: (($i > $i > $o) > $i)).
% 0.24/0.31 thf(f7,axiom,(
% 0.24/0.31 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.24/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006)).
% 0.24/0.31 thf(f23,axiom,(
% 0.24/0.31 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.24/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022)).
% 0.24/0.31 thf(f24,axiom,(
% 0.24/0.31 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.24/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023)).
% 0.24/0.31 thf(f192,conjecture,(
% 0.24/0.31 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.24/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.24/0.31 thf(f193,negated_conjecture,(
% 0.24/0.31 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.24/0.31 inference(negated_conjecture,[status(cth)],[f192])).
% 0.24/0.31 thf(f328,plain,(
% 0.24/0.31 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.24/0.31 inference(rectify,[],[f7])).
% 0.24/0.31 thf(f329,plain,(
% 0.24/0.31 ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))),
% 0.24/0.31 inference(fool_elimination,[],[f328])).
% 0.24/0.31 thf(f362,plain,(
% 0.24/0.31 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.24/0.31 inference(rectify,[],[f193])).
% 0.24/0.31 thf(f363,plain,(
% 0.24/0.31 ~ (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.24/0.31 inference(fool_elimination,[],[f362])).
% 0.24/0.31 thf(f402,plain,(
% 0.24/0.31 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.24/0.31 inference(rectify,[],[f24])).
% 0.24/0.31 thf(f403,plain,(
% 0.24/0.31 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.24/0.31 inference(fool_elimination,[],[f402])).
% 0.24/0.31 thf(f412,plain,(
% 0.24/0.31 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.24/0.31 inference(rectify,[],[f23])).
% 0.24/0.31 thf(f413,plain,(
% 0.24/0.31 ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) = $true) => (((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true))),
% 0.24/0.31 inference(fool_elimination,[],[f412])).
% 0.24/0.31 thf(f577,plain,(
% 0.24/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.24/0.31 inference(flattening,[],[f363])).
% 0.24/0.31 thf(f592,plain,(
% 0.24/0.31 ! [X1 : $o,X0 : $i] : ((((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true))),
% 0.24/0.31 inference(ennf_transformation,[],[f413])).
% 0.24/0.31 thf(f651,plain,(
% 0.24/0.31 ! [X0 : $o,X1 : $i] : (($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))) | ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)))))),
% 0.24/0.31 inference(rectify,[],[f592])).
% 0.24/0.31 thf(f672,plain,(
% 0.24/0.31 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) )),
% 0.24/0.31 inference(cnf_transformation,[],[f329])).
% 0.24/0.31 thf(f755,plain,(
% 0.24/0.31 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)) )),
% 0.24/0.31 inference(cnf_transformation,[],[f403])).
% 0.24/0.31 thf(f756,plain,(
% 0.24/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.24/0.31 inference(cnf_transformation,[],[f577])).
% 0.24/0.31 thf(f800,plain,(
% 0.24/0.31 ( ! [X0 : $o,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)))) | ($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0))))) )),
% 0.24/0.31 inference(cnf_transformation,[],[f651])).
% 0.24/0.31 thf(f871,plain,(
% 0.24/0.31 ( ! [X0 : $o,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)))) | (((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false)) )),
% 0.24/0.31 inference(not_proxy_clausification,[],[f800])).
% 0.24/0.31 thf(f955,definition,(
% 0.24/0.31 spl6_17 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.24/0.31 introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition])).
% 0.24/0.31 thf(f957,plain,(
% 0.24/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true) | spl6_17),
% 0.24/0.31 inference(avatar_component_clause,[],[f955])).
% 0.24/0.31 thf(f958,plain,(
% 0.24/0.31 ~spl6_17),
% 0.24/0.31 inference(avatar_split_clause,[],[f756,f955])).
% 0.24/0.31 thf(f1644,plain,(
% 0.24/0.31 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | spl6_17),
% 0.24/0.31 inference(fool_paramodulation,[],[f957])).
% 0.24/0.31 thf(f1646,definition,(
% 0.24/0.31 spl6_155 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.24/0.31 introduced(definition,[new_symbols(definition,[spl6_155])],[avatar_definition])).
% 0.24/0.31 thf(f1648,plain,(
% 0.24/0.31 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl6_155),
% 0.24/0.31 inference(avatar_component_clause,[],[f1646])).
% 0.24/0.31 thf(f1650,definition,(
% 0.24/0.31 spl6_156 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.24/0.31 introduced(definition,[new_symbols(definition,[spl6_156])],[avatar_definition])).
% 0.24/0.31 thf(f1652,plain,(
% 0.24/0.31 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_156),
% 0.24/0.31 inference(avatar_component_clause,[],[f1650])).
% 0.24/0.31 thf(f1653,plain,(
% 0.24/0.31 ~spl6_155 | spl6_156 | spl6_17),
% 0.24/0.31 inference(avatar_split_clause,[],[f1644,f955,f1650,f1646])).
% 0.24/0.31 thf(f1654,plain,(
% 0.24/0.31 ( ! [X0 : $i] : ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)) )),
% 0.24/0.31 inference(fool_paramodulation,[],[f755])).
% 0.24/0.31 thf(f1656,definition,(
% 0.24/0.31 spl6_157 <=> ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)),
% 0.24/0.31 introduced(definition,[new_symbols(definition,[spl6_157])],[avatar_definition])).
% 0.24/0.31 thf(f1657,plain,(
% 0.24/0.31 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)) ) | ~spl6_157),
% 0.24/0.31 inference(avatar_component_clause,[],[f1656])).
% 0.24/0.31 thf(f1659,definition,(
% 0.24/0.31 spl6_158 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.24/0.31 introduced(definition,[new_symbols(definition,[spl6_158])],[avatar_definition])).
% 0.24/0.31 thf(f1661,plain,(
% 0.24/0.31 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_158),
% 0.24/0.31 inference(avatar_component_clause,[],[f1659])).
% 0.24/0.31 thf(f1662,plain,(
% 0.24/0.31 spl6_157 | spl6_158),
% 0.24/0.31 inference(avatar_split_clause,[],[f1654,f1659,f1656])).
% 0.24/0.31 thf(f1690,plain,(
% 0.24/0.31 ($true != $true) | (spl6_155 | ~spl6_157)),
% 0.24/0.31 inference(superposition,[],[f1648,f1657])).
% 0.24/0.31 thf(f1691,plain,(
% 0.24/0.31 $false | (spl6_155 | ~spl6_157)),
% 0.24/0.31 inference(trivial_inequality_removal,[],[f1690])).
% 0.24/0.31 thf(f1692,plain,(
% 0.24/0.31 spl6_155 | ~spl6_157),
% 0.24/0.31 inference(avatar_contradiction_clause,[],[f1691])).
% 0.24/0.31 thf(f1694,plain,(
% 0.24/0.31 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) => $false)))) | ~spl6_156),
% 0.24/0.31 inference(superposition,[],[f672,f1652])).
% 0.24/0.31 thf(f1695,plain,(
% 0.24/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | ~spl6_156),
% 0.24/0.31 inference(boolean_simplification,[],[f1694])).
% 0.24/0.31 thf(f1697,definition,(
% 0.24/0.31 spl6_160 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.24/0.31 introduced(definition,[new_symbols(definition,[spl6_160])],[avatar_definition])).
% 0.24/0.31 thf(f1699,plain,(
% 0.24/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | ~spl6_160),
% 0.24/0.31 inference(avatar_component_clause,[],[f1697])).
% 0.24/0.31 thf(f1700,plain,(
% 0.24/0.31 spl6_160 | ~spl6_156),
% 0.24/0.31 inference(avatar_split_clause,[],[f1695,f1650,f1697])).
% 0.24/0.31 thf(f1717,plain,(
% 0.24/0.31 ($true != $true) | ($false = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) | ~spl6_160),
% 0.24/0.31 inference(superposition,[],[f871,f1699])).
% 0.24/0.31 thf(f1719,plain,(
% 0.24/0.31 ($false = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) | ~spl6_160),
% 0.24/0.31 inference(trivial_inequality_removal,[],[f1717])).
% 0.24/0.31 thf(f1722,plain,(
% 0.24/0.31 ($true = $false) | ~spl6_160),
% 0.24/0.31 inference(forward_demodulation,[],[f1719,f755])).
% 0.24/0.31 thf(f1723,plain,(
% 0.24/0.31 $false | ~spl6_160),
% 0.24/0.31 inference(trivial_inequality_removal,[],[f1722])).
% 0.24/0.31 thf(f1724,plain,(
% 0.24/0.31 ~spl6_160),
% 0.24/0.31 inference(avatar_contradiction_clause,[],[f1723])).
% 0.24/0.31 thf(f1726,plain,(
% 0.24/0.31 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl6_158),
% 0.24/0.31 inference(superposition,[],[f672,f1661])).
% 0.24/0.31 thf(f1727,plain,(
% 0.24/0.31 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ~spl6_158),
% 0.24/0.31 inference(boolean_simplification,[],[f1726])).
% 0.24/0.31 thf(f1728,plain,(
% 0.24/0.31 spl6_155 | ~spl6_158),
% 0.24/0.31 inference(avatar_split_clause,[],[f1727,f1659,f1646])).
% 0.24/0.31 cnf(s17, plain, ~spl6_17, inference(sat_conversion,[],[f958])).
% 0.24/0.31 cnf(s155, plain, spl6_17 | ~spl6_155 | spl6_156, inference(sat_conversion,[],[f1653])).
% 0.24/0.31 cnf(s156, plain, spl6_157 | spl6_158, inference(sat_conversion,[],[f1662])).
% 0.24/0.31 cnf(s158, plain, spl6_155 | ~spl6_157, inference(sat_conversion,[],[f1692])).
% 0.24/0.31 cnf(s159, plain, ~spl6_156 | spl6_160, inference(sat_conversion,[],[f1700])).
% 0.24/0.31 cnf(s167, plain, ~spl6_160, inference(sat_conversion,[],[f1724])).
% 0.24/0.31 cnf(s168, plain, spl6_155 | ~spl6_158, inference(sat_conversion,[],[f1728])).
% 0.24/0.31 cnf(s169, plain, ~spl6_156, inference(rat,[],[s159,s167])).
% 0.24/0.31 cnf(s170, plain, spl6_17 | ~spl6_155, inference(rat,[],[s155,s169])).
% 0.24/0.31 cnf(s171, plain, ~spl6_155, inference(rat,[],[s170,s17])).
% 0.24/0.31 cnf(s172, plain, ~spl6_158, inference(rat,[],[s168,s171])).
% 0.24/0.31 cnf(s175, plain, ~spl6_157, inference(rat,[],[s158,s171])).
% 0.24/0.31 cnf(s177, plain, $false, inference(rat,[],[s156,s172,s175])).
% 0.24/0.31 thf(f1729,plain,(
% 0.24/0.31 $false),
% 0.24/0.31 inference(avatar_sat_refutation,[],[s177])).
% 0.24/0.31 % SZS output end Proof for theBenchmark
% 0.24/0.31 % (3714541)------------------------------
% 0.24/0.31 % (3714541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.31 % (3714541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.31 % (3714541)CaDiCaL version: 2.1.3
% 0.24/0.31 % (3714541)Termination reason: Refutation
% 0.24/0.31 % (3714541)Time elapsed: 0.014 s
% 0.24/0.31 % (3714541)Peak memory usage: 14 MB
% 0.24/0.31 % (3714541)Instructions burned: 50 (million)
% 0.24/0.31 % (3714533)Success in time 0.044 s
% 0.24/0.31 % Vampire exiting
%------------------------------------------------------------------------------