%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR124^2 : 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 : n014.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 : CSR124^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n014.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 17:54:45 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.24 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 % (2994961)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (2994971)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2494188719:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (2994972)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 % (2994972)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 % (2994966)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3294063477:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (2994967)lrs+10_16_si=on:nwc=1.5:random_seed=3712126335:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (2994970)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2523679200:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (2994968)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=942127147:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (2994969)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=3596775428: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 % (2994972)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=2732038038:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (2994968)Instruction limit reached!
% 0.22/0.29 % (2994968)------------------------------
% 0.22/0.29 % (2994968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (2994968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (2994968)CaDiCaL version: 2.1.3
% 0.22/0.29 % (2994968)Termination reason: Instruction limit
% 0.22/0.29 % (2994968)Termination phase: shuffling
% 0.22/0.29 % (2994968)Time elapsed: 0.002 s
% 0.22/0.29 % (2994968)Peak memory usage: 10 MB
% 0.22/0.29 % (2994968)Instructions burned: 4 (million)
% 0.22/0.29 % (2994971) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2994961-2994971"...
% 0.22/0.29 % (2994971)...printing done.
% 0.22/0.29 % (2994971)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 > $i)).
% 0.22/0.29 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.22/0.29 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.22/0.29 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.22/0.29 thf(func_def_92, type, vAND: ($o > $o > $o)).
% 0.22/0.29 thf(func_def_93, type, sK0: ($i > $i > $i)).
% 0.22/0.29 thf(func_def_94, type, sK1: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_95, type, sK2: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_96, type, sK3: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_97, type, sK4: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(f6,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.22/0.29 thf(f24,axiom,(
% 0.22/0.29 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.22/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023)).
% 0.22/0.29 thf(f192,conjecture,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.22/0.29 thf(f193,negated_conjecture,(
% 0.22/0.29 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 inference(negated_conjecture,[status(cth)],[f192])).
% 0.22/0.29 thf(f374,plain,(
% 0.22/0.29 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 inference(rectify,[],[f193])).
% 0.22/0.29 thf(f375,plain,(
% 0.22/0.29 ~ ($true = ((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)))))),
% 0.22/0.29 inference(fool_elimination,[],[f374])).
% 0.22/0.29 thf(f520,plain,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 inference(rectify,[],[f6])).
% 0.22/0.29 thf(f521,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f520])).
% 0.22/0.29 thf(f548,plain,(
% 0.22/0.29 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.22/0.29 inference(rectify,[],[f24])).
% 0.22/0.29 thf(f549,plain,(
% 0.22/0.29 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f548])).
% 0.22/0.29 thf(f576,plain,(
% 0.22/0.29 ($true != ((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)))))),
% 0.22/0.29 inference(flattening,[],[f375])).
% 0.22/0.29 thf(f668,plain,(
% 0.22/0.29 ($true != ((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)))))),
% 0.22/0.29 inference(cnf_transformation,[],[f576])).
% 0.22/0.29 thf(f679,plain,(
% 0.22/0.29 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f549])).
% 0.22/0.29 thf(f834,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f521])).
% 0.22/0.29 thf(f876,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)),
% 0.22/0.29 inference(forward_demodulation,[],[f668,f679])).
% 0.22/0.29 thf(f877,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.22/0.29 inference(boolean_simplification,[],[f876])).
% 0.22/0.29 thf(f878,plain,(
% 0.22/0.29 $false),
% 0.22/0.29 inference(forward_subsumption_resolution,[],[f877,f834])).
% 0.22/0.29 % SZS output end Proof for theBenchmark
% 0.22/0.29 % (2994971)------------------------------
% 0.22/0.29 % (2994971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (2994971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (2994971)CaDiCaL version: 2.1.3
% 0.22/0.29 % (2994971)Termination reason: Refutation
% 0.22/0.29 % (2994971)Time elapsed: 0.011 s
% 0.22/0.29 % (2994971)Peak memory usage: 12 MB
% 0.22/0.29 % (2994971)Instructions burned: 42 (million)
% 0.22/0.29 % (2994961)Success in time 0.043 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------