%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR119^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 07:47:02 AM UTC 2026
% Result : Theorem 0.23s 0.33s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR119^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:53:54 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.33 % (3503855)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.33 % (3503864)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=157927494:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.33 % (3503866)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.33 % (3503866)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
% 0.23/0.33 % (3503864)Instruction limit reached!
% 0.23/0.33 % (3503864)------------------------------
% 0.23/0.33 % (3503864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3503864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3503864)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3503864)Termination reason: Instruction limit
% 0.23/0.33 % (3503864)Termination phase: Saturation
% 0.23/0.33 % (3503864)Time elapsed: 0.006 s
% 0.23/0.33 % (3503864)Peak memory usage: 11 MB
% 0.23/0.33 % (3503864)Instructions burned: 24 (million)
% 0.23/0.33 % (3503860)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=139801259:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.33 % (3503862)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1195875279:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.33 % (3503861)lrs+10_16_si=on:nwc=1.5:random_seed=3641962866:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.33 % (3503866)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=479602960:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.33 % (3503863)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=90529773: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)
% 0.23/0.33 % (3503865)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2081633687:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.33 % (3503862)Instruction limit reached!
% 0.23/0.33 % (3503862)------------------------------
% 0.23/0.33 % (3503862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3503862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3503862)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3503862)Termination reason: Instruction limit
% 0.23/0.33 % (3503862)Termination phase: shuffling
% 0.23/0.33 % (3503862)Time elapsed: 0.002 s
% 0.23/0.33 % (3503862)Peak memory usage: 10 MB
% 0.23/0.33 % (3503862)Instructions burned: 4 (million)
% 0.23/0.33 % (3503861)Instruction limit reached!
% 0.23/0.33 % (3503861)------------------------------
% 0.23/0.33 % (3503861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3503861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3503861)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3503861)Termination reason: Instruction limit
% 0.23/0.33 % (3503861)Termination phase: Property scanning
% 0.23/0.33 % (3503861)Time elapsed: 0.009 s
% 0.23/0.33 % (3503861)Peak memory usage: 11 MB
% 0.23/0.33 % (3503861)Instructions burned: 20 (million)
% 0.23/0.33 % (3503869)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3755179676:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.33 % (3503869)Instruction limit reached!
% 0.23/0.33 % (3503869)------------------------------
% 0.23/0.33 % (3503869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3503869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3503869)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3503869)Termination reason: Instruction limit
% 0.23/0.33 % (3503869)Termination phase: Property scanning
% 0.23/0.33 % (3503869)Time elapsed: 0.003 s
% 0.23/0.33 % (3503869)Peak memory usage: 10 MB
% 0.23/0.33 % (3503869)Instructions burned: 15 (million)
% 0.23/0.33 % (3503875)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=199054030:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.33 % (3503863) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3503855-3503863"...
% 0.23/0.33 % (3503865) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3503855-3503865"...
% 0.23/0.33 % (3503876)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.33 % (3503863)...printing done.
% 0.23/0.33 % (3503875)Instruction limit reached!
% 0.23/0.33 % (3503875)------------------------------
% 0.23/0.33 % (3503875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3503875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3503875)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3503875)Termination reason: Instruction limit
% 0.23/0.33 % (3503875)Termination phase: Property scanning
% 0.23/0.33 % (3503875)Time elapsed: 0.003 s
% 0.23/0.33 % (3503875)Peak memory usage: 10 MB
% 0.23/0.33 % (3503875)Instructions burned: 7 (million)
% 0.23/0.33 % (3503863)Refutation found. Thanks to Tanya!
% 0.23/0.33 % SZS status Theorem for theBenchmark
% 0.23/0.33 % SZS output start Proof for theBenchmark
% 0.23/0.33 thf(type_def_5, type, num: $tType).
% 0.23/0.33 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.33 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.23/0.33 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.23/0.33 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.23/0.33 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.23/0.33 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.23/0.33 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.23/0.33 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.23/0.33 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.23/0.33 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.23/0.33 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.23/0.33 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.23/0.33 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.23/0.33 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.23/0.33 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.23/0.33 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.33 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.33 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.33 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.23/0.33 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.23/0.33 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.33 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.33 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.23/0.33 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.23/0.33 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.23/0.33 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.23/0.33 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.33 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.23/0.33 thf(func_def_92, type, vAND: ($o > $o > $o)).
% 0.23/0.33 thf(func_def_93, type, sK0: (($i > $i > $o) > $i)).
% 0.23/0.33 thf(func_def_94, type, sK1: (($i > $i > $o) > $i)).
% 0.23/0.33 thf(func_def_95, type, sK2: (($i > $i > $o) > $i)).
% 0.23/0.33 thf(func_def_96, type, sK3: ($i > $i > $i)).
% 0.23/0.33 thf(func_def_98, type, sK5: (($i > $i > $o) > $i)).
% 0.23/0.33 thf(f26,axiom,(
% 0.23/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.23/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26)).
% 0.23/0.33 thf(f190,conjecture,(
% 0.23/0.33 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.23/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.23/0.33 thf(f191,negated_conjecture,(
% 0.23/0.33 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.23/0.33 inference(negated_conjecture,[status(cth)],[f190])).
% 0.23/0.33 thf(f248,plain,(
% 0.23/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.23/0.33 inference(rectify,[],[f26])).
% 0.23/0.33 thf(f249,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.23/0.33 inference(fool_elimination,[],[f248])).
% 0.23/0.33 thf(f540,plain,(
% 0.23/0.33 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.23/0.33 inference(rectify,[],[f191])).
% 0.23/0.33 thf(f541,plain,(
% 0.23/0.33 ~ ? [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) = $true)),
% 0.23/0.33 inference(fool_elimination,[],[f540])).
% 0.23/0.33 thf(f570,plain,(
% 0.23/0.33 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) != $true)),
% 0.23/0.33 inference(ennf_transformation,[],[f541])).
% 0.23/0.33 thf(f661,plain,(
% 0.23/0.33 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) != $true)) )),
% 0.23/0.33 inference(cnf_transformation,[],[f570])).
% 0.23/0.33 thf(f787,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.23/0.33 inference(cnf_transformation,[],[f249])).
% 0.23/0.33 thf(f1222,definition,(
% 0.23/0.33 spl6_72 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.23/0.33 introduced(definition,[new_symbols(definition,[spl6_72])],[avatar_definition])).
% 0.23/0.33 thf(f1224,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | ~spl6_72),
% 0.23/0.33 inference(avatar_component_clause,[],[f1222])).
% 0.23/0.33 thf(f1225,plain,(
% 0.23/0.33 spl6_72),
% 0.23/0.33 inference(avatar_split_clause,[],[f787,f1222])).
% 0.23/0.33 thf(f1658,plain,(
% 0.23/0.33 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | ~spl6_72),
% 0.23/0.33 inference(fool_paramodulation,[],[f1224])).
% 0.23/0.33 thf(f1661,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_72),
% 0.23/0.33 inference(boolean_simplification,[],[f1658])).
% 0.23/0.33 thf(f1664,plain,(
% 0.23/0.33 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_72),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f1661,f661])).
% 0.23/0.33 thf(f1668,definition,(
% 0.23/0.33 spl6_158 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.23/0.33 introduced(definition,[new_symbols(definition,[spl6_158])],[avatar_definition])).
% 0.23/0.33 thf(f1670,plain,(
% 0.23/0.33 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_158),
% 0.23/0.33 inference(avatar_component_clause,[],[f1668])).
% 0.23/0.33 thf(f1671,plain,(
% 0.23/0.33 spl6_158 | ~spl6_72),
% 0.23/0.33 inference(avatar_split_clause,[],[f1664,f1222,f1668])).
% 0.23/0.33 thf(f1678,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | (~spl6_72 | ~spl6_158)),
% 0.23/0.33 inference(superposition,[],[f1224,f1670])).
% 0.23/0.33 thf(f1679,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) != $true) | ~spl6_158),
% 0.23/0.33 inference(superposition,[],[f661,f1670])).
% 0.23/0.33 thf(f1680,plain,(
% 0.23/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true) | (~spl6_72 | ~spl6_158)),
% 0.23/0.33 inference(boolean_simplification,[],[f1678])).
% 0.23/0.33 thf(f1682,definition,(
% 0.23/0.33 spl6_160 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
% 0.23/0.33 introduced(definition,[new_symbols(definition,[spl6_160])],[avatar_definition])).
% 0.23/0.33 thf(f1685,plain,(
% 0.23/0.33 ~spl6_160 | ~spl6_158),
% 0.23/0.33 inference(avatar_split_clause,[],[f1679,f1668,f1682])).
% 0.23/0.33 thf(f1686,plain,(
% 0.23/0.33 spl6_160 | ~spl6_72 | ~spl6_158),
% 0.23/0.33 inference(avatar_split_clause,[],[f1680,f1668,f1222,f1682])).
% 0.23/0.33 cnf(s72, plain, spl6_72, inference(sat_conversion,[],[f1225])).
% 0.23/0.33 cnf(s157, plain, ~spl6_72 | spl6_158, inference(sat_conversion,[],[f1671])).
% 0.23/0.33 cnf(s160, plain, ~spl6_158 | ~spl6_160, inference(sat_conversion,[],[f1685])).
% 0.23/0.33 cnf(s161, plain, ~spl6_72 | ~spl6_158 | spl6_160, inference(sat_conversion,[],[f1686])).
% 0.23/0.33 cnf(s163, plain, spl6_158, inference(rat,[],[s157,s72])).
% 0.23/0.33 cnf(s164, plain, spl6_160, inference(rat,[],[s161,s72,s163])).
% 0.23/0.33 cnf(s165, plain, $false, inference(rat,[],[s160,s164,s163])).
% 0.23/0.33 thf(f1687,plain,(
% 0.23/0.33 $false),
% 0.23/0.33 inference(avatar_sat_refutation,[],[s165])).
% 0.23/0.33 % SZS output end Proof for theBenchmark
% 0.23/0.33 % (3503863)------------------------------
% 0.23/0.33 % (3503863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3503863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3503863)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3503863)Termination reason: Refutation
% 0.23/0.33 % (3503863)Time elapsed: 0.023 s
% 0.23/0.33 % (3503863)Peak memory usage: 14 MB
% 0.23/0.33 % (3503863)Instructions burned: 44 (million)
% 0.23/0.33 % (3503855)Success in time 0.068 s
% 0.23/0.33 % Vampire exiting
%------------------------------------------------------------------------------