%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR123^2 : 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 : n011.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 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR123^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:55:02 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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
% 0.22/0.29 % (434690)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (434704)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=558259626: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)
% 0.22/0.29 % (434707)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (434707)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
% 0.22/0.29 % (434701)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4042040701:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (434702)lrs+10_16_si=on:nwc=1.5:random_seed=987019477:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (434703)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3345092268:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (434705)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2434155873:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (434706)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1705792458:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (434707)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=3587708216:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (434703)Instruction limit reached!
% 0.22/0.29 % (434703)------------------------------
% 0.22/0.29 % (434703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (434703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (434703)CaDiCaL version: 2.1.3
% 0.22/0.29 % (434703)Termination reason: Instruction limit
% 0.22/0.29 % (434703)Termination phase: shuffling
% 0.22/0.29 % (434703)Time elapsed: 0.002 s
% 0.22/0.29 % (434703)Peak memory usage: 10 MB
% 0.22/0.29 % (434703)Instructions burned: 4 (million)
% 0.22/0.29 % (434704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-434690-434704"...
% 0.22/0.29 % (434704)...printing done.
% 0.22/0.29 % (434704)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% 0.22/0.29 thf(type_def_5, type, num: $tType).
% 0.22/0.29 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.29 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.22/0.29 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.22/0.29 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.22/0.29 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.22/0.29 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.22/0.29 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.22/0.29 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.22/0.29 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.22/0.29 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.22/0.29 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_31, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_34, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_40, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_52, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_60, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_62, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_66, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_67, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_68, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_69, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_76, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_78, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_79, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.22/0.29 thf(func_def_82, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_84, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_85, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_86, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.22/0.29 thf(func_def_87, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_88, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_90, type, vNOT: ($o > $o)).
% 0.22/0.29 thf(func_def_93, type, vAND: ($o > $o > $o)).
% 0.22/0.29 thf(func_def_94, type, sK0: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_95, type, sK1: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_96, type, sK2: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_98, type, sK4: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_99, type, sK5: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(f32,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))),
% 0.22/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031)).
% 0.22/0.29 thf(f49,axiom,(
% 0.22/0.29 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.22/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_048)).
% 0.22/0.29 thf(f192,conjecture,(
% 0.22/0.29 ? [X1 : $i,X0 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ lSue_THFTYPE_i @ X2)) & (X0 @ lSue_THFTYPE_i @ X1))),
% 0.22/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.22/0.29 thf(f193,negated_conjecture,(
% 0.22/0.29 ~ ? [X1 : $i,X0 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ lSue_THFTYPE_i @ X2)) & (X0 @ lSue_THFTYPE_i @ X1))),
% 0.22/0.29 inference(negated_conjecture,[status(cth)],[f192])).
% 0.22/0.29 thf(f204,plain,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))),
% 0.22/0.29 inference(rectify,[],[f32])).
% 0.22/0.29 thf(f205,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f204])).
% 0.22/0.29 thf(f296,plain,(
% 0.22/0.29 ~ ? [X0 : $i,X1 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X1 @ lSue_THFTYPE_i @ X2)) & (X1 @ lSue_THFTYPE_i @ X0))),
% 0.22/0.29 inference(rectify,[],[f193])).
% 0.22/0.29 thf(f297,plain,(
% 0.22/0.29 ~ ? [X2 : $i,X0 : $i,X1 : ($i > $i > $o)] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X1 @ lSue_THFTYPE_i @ X0) & (~ (X1 @ lSue_THFTYPE_i @ X2))))))),
% 0.22/0.29 inference(fool_elimination,[],[f296])).
% 0.22/0.29 thf(f464,plain,(
% 0.22/0.29 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.22/0.29 inference(rectify,[],[f49])).
% 0.22/0.29 thf(f465,plain,(
% 0.22/0.29 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f464])).
% 0.22/0.29 thf(f618,plain,(
% 0.22/0.29 ! [X0 : $i,X2 : $i,X1 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X1 @ lSue_THFTYPE_i @ X0) & (~ (X1 @ lSue_THFTYPE_i @ X2))))))),
% 0.22/0.29 inference(ennf_transformation,[],[f297])).
% 0.22/0.29 thf(f643,plain,(
% 0.22/0.29 ! [X0 : $i,X1 : $i,X2 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ lSue_THFTYPE_i @ X0) & (~ (X2 @ lSue_THFTYPE_i @ X1))))))),
% 0.22/0.29 inference(rectify,[],[f618])).
% 0.22/0.29 thf(f748,plain,(
% 0.22/0.29 ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ lSue_THFTYPE_i @ X0) & (~ (X2 @ lSue_THFTYPE_i @ X1))))))) )),
% 0.22/0.29 inference(cnf_transformation,[],[f643])).
% 0.22/0.29 thf(f808,plain,(
% 0.22/0.29 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f465])).
% 0.22/0.29 thf(f832,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f205])).
% 0.22/0.29 thf(f1033,definition,(
% 0.22/0.29 spl6_32 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl6_32])],[avatar_definition])).
% 0.22/0.29 thf(f1035,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))) = $true) | ~spl6_32),
% 0.22/0.29 inference(avatar_component_clause,[],[f1033])).
% 0.22/0.29 thf(f1036,plain,(
% 0.22/0.29 spl6_32),
% 0.22/0.29 inference(avatar_split_clause,[],[f832,f1033])).
% 0.22/0.29 thf(f1118,definition,(
% 0.22/0.29 spl6_49 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl6_49])],[avatar_definition])).
% 0.22/0.29 thf(f1120,plain,(
% 0.22/0.29 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | ~spl6_49),
% 0.22/0.29 inference(avatar_component_clause,[],[f1118])).
% 0.22/0.29 thf(f1121,plain,(
% 0.22/0.29 spl6_49),
% 0.22/0.29 inference(avatar_split_clause,[],[f808,f1118])).
% 0.22/0.29 thf(f1663,plain,(
% 0.22/0.29 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))))) ) | ~spl6_49),
% 0.22/0.29 inference(superposition,[],[f748,f1120])).
% 0.22/0.29 thf(f1670,plain,(
% 0.22/0.29 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))) != $true)) ) | ~spl6_49),
% 0.22/0.29 inference(boolean_simplification,[],[f1663])).
% 0.22/0.29 thf(f1710,plain,(
% 0.22/0.29 $false | (~spl6_32 | ~spl6_49)),
% 0.22/0.29 inference(forward_subsumption_resolution,[],[f1035,f1670])).
% 0.22/0.29 thf(f1711,plain,(
% 0.22/0.29 ~spl6_32 | ~spl6_49),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f1710])).
% 0.22/0.29 cnf(s32, plain, spl6_32, inference(sat_conversion,[],[f1036])).
% 0.22/0.29 cnf(s49, plain, spl6_49, inference(sat_conversion,[],[f1121])).
% 0.22/0.29 cnf(s162, plain, ~spl6_32 | ~spl6_49, inference(sat_conversion,[],[f1711])).
% 0.22/0.29 cnf(s163, plain, ~spl6_32, inference(rat,[],[s162,s49])).
% 0.22/0.29 cnf(s164, plain, $false, inference(rat,[],[s32,s163])).
% 0.22/0.29 thf(f1712,plain,(
% 0.22/0.29 $false),
% 0.22/0.29 inference(avatar_sat_refutation,[],[s164])).
% 0.22/0.29 % SZS output end Proof for theBenchmark
% 0.22/0.29 % (434704)------------------------------
% 0.22/0.29 % (434704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (434704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (434704)CaDiCaL version: 2.1.3
% 0.22/0.29 % (434704)Termination reason: Refutation
% 0.22/0.29 % (434704)Time elapsed: 0.013 s
% 0.22/0.29 % (434704)Peak memory usage: 14 MB
% 0.22/0.29 % (434704)Instructions burned: 45 (million)
% 0.22/0.29 % (434690)Success in time 0.036 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------