%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR128^2 : 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 : n013.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 07:47:05 AM UTC 2026
% Result : Theorem 0.21s 0.33s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR128^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.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 17:54:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 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
% 0.21/0.33 % (2441565)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.33 % (2441574)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1609944873:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.33 % (2441576)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.33 % (2441576)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
% 0.21/0.33 % (2441574)Instruction limit reached!
% 0.21/0.33 % (2441574)------------------------------
% 0.21/0.33 % (2441574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2441574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2441574)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2441574)Termination reason: Instruction limit
% 0.21/0.33 % (2441574)Termination phase: Saturation
% 0.21/0.33 % (2441574)Time elapsed: 0.006 s
% 0.21/0.33 % (2441574)Peak memory usage: 12 MB
% 0.21/0.33 % (2441574)Instructions burned: 25 (million)
% 0.21/0.33 % (2441570)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=719725785:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.33 % (2441571)lrs+10_16_si=on:nwc=1.5:random_seed=892224289:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.33 % (2441572)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3731483690:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.33 % (2441573)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=3874032916: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)
% 0.21/0.33 % (2441575)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3539906791:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.33 % (2441576)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=4113279598:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.33 % (2441572)Instruction limit reached!
% 0.21/0.33 % (2441572)------------------------------
% 0.21/0.33 % (2441572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2441572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2441572)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2441572)Termination reason: Instruction limit
% 0.21/0.33 % (2441572)Termination phase: shuffling
% 0.21/0.33 % (2441572)Time elapsed: 0.002 s
% 0.21/0.33 % (2441572)Peak memory usage: 9 MB
% 0.21/0.33 % (2441572)Instructions burned: 4 (million)
% 0.21/0.33 % (2441571)Instruction limit reached!
% 0.21/0.33 % (2441571)------------------------------
% 0.21/0.33 % (2441571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2441571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2441571)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2441571)Termination reason: Instruction limit
% 0.21/0.33 % (2441571)Termination phase: Property scanning
% 0.21/0.33 % (2441571)Time elapsed: 0.008 s
% 0.21/0.33 % (2441571)Peak memory usage: 11 MB
% 0.21/0.33 % (2441571)Instructions burned: 20 (million)
% 0.21/0.33 % (2441585)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1957991875:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.33 % (2441585)Instruction limit reached!
% 0.21/0.33 % (2441585)------------------------------
% 0.21/0.33 % (2441585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2441585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2441585)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2441585)Termination reason: Instruction limit
% 0.21/0.33 % (2441585)Termination phase: Property scanning
% 0.21/0.33 % (2441585)Time elapsed: 0.002 s
% 0.21/0.33 % (2441585)Peak memory usage: 10 MB
% 0.21/0.33 % (2441585)Instructions burned: 10 (million)
% 0.21/0.33 % (2441578)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2212353564:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.33 % (2441578)Instruction limit reached!
% 0.21/0.33 % (2441578)------------------------------
% 0.21/0.33 % (2441578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2441578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2441578)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2441578)Termination reason: Instruction limit
% 0.21/0.33 % (2441578)Termination phase: shuffling
% 0.21/0.33 % (2441578)Time elapsed: 0.002 s
% 0.21/0.33 % (2441578)Peak memory usage: 9 MB
% 0.21/0.33 % (2441578)Instructions burned: 3 (million)
% 0.21/0.33 % (2441575) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2441565-2441575"...
% 0.21/0.33 % (2441573) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2441565-2441573"...
% 0.21/0.33 % (2441586)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.33 % (2441575)...printing done.
% 0.21/0.33 % (2441573)...printing done.
% 0.21/0.33 % (2441575)Refutation found. Thanks to Tanya!
% 0.21/0.33 % SZS status Theorem for theBenchmark
% 0.21/0.33 % SZS output start Proof for theBenchmark
% 0.21/0.33 thf(type_def_5, type, num: $tType).
% 0.21/0.33 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.33 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.21/0.33 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.21/0.33 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.21/0.33 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.21/0.33 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.21/0.33 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.21/0.33 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.21/0.33 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.21/0.33 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.21/0.33 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.21/0.33 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.21/0.33 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.21/0.33 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.21/0.33 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.21/0.33 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.21/0.33 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.21/0.33 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.21/0.33 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.21/0.33 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.21/0.33 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.21/0.33 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.21/0.33 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.21/0.33 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.21/0.33 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.21/0.33 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.21/0.33 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.21/0.33 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.21/0.33 thf(func_def_92, type, vIMP: ($o > $o > $o)).
% 0.21/0.33 thf(func_def_93, type, vAND: ($o > $o > $o)).
% 0.21/0.33 thf(func_def_95, type, sK1: (($i > $i > $o) > $i)).
% 0.21/0.33 thf(func_def_96, type, sK2: (($i > $i > $o) > $i)).
% 0.21/0.33 thf(func_def_97, type, sK3: (($i > $i > $o) > $i)).
% 0.21/0.33 thf(func_def_98, type, sK4: ($i > $i > $i)).
% 0.21/0.33 thf(func_def_99, type, sK5: (($i > $i > $o) > $i)).
% 0.21/0.33 thf(f7,axiom,(
% 0.21/0.33 ! [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))),
% 0.21/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006)).
% 0.21/0.33 thf(f36,axiom,(
% 0.21/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.21/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_035)).
% 0.21/0.33 thf(f191,conjecture,(
% 0.21/0.33 ? [X1 : $i,X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.21/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.21/0.33 thf(f192,negated_conjecture,(
% 0.21/0.33 ~ ? [X1 : $i,X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.21/0.33 inference(negated_conjecture,[status(cth)],[f191])).
% 0.21/0.33 thf(f377,plain,(
% 0.21/0.33 ! [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))),
% 0.21/0.33 inference(rectify,[],[f7])).
% 0.21/0.33 thf(f378,plain,(
% 0.21/0.33 ! [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)))))),
% 0.21/0.33 inference(fool_elimination,[],[f377])).
% 0.21/0.33 thf(f399,plain,(
% 0.21/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.21/0.33 inference(rectify,[],[f36])).
% 0.21/0.33 thf(f400,plain,(
% 0.21/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.21/0.33 inference(fool_elimination,[],[f399])).
% 0.21/0.33 thf(f539,plain,(
% 0.21/0.33 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.21/0.33 inference(rectify,[],[f192])).
% 0.21/0.33 thf(f540,plain,(
% 0.21/0.33 ~ ? [X0 : $i,X1 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))),
% 0.21/0.33 inference(fool_elimination,[],[f539])).
% 0.21/0.33 thf(f611,plain,(
% 0.21/0.33 ! [X0 : $i,X1 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))),
% 0.21/0.33 inference(ennf_transformation,[],[f540])).
% 0.21/0.33 thf(f666,plain,(
% 0.21/0.33 ( ! [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)))))) )),
% 0.21/0.33 inference(cnf_transformation,[],[f378])).
% 0.21/0.33 thf(f684,plain,(
% 0.21/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.21/0.33 inference(cnf_transformation,[],[f400])).
% 0.21/0.33 thf(f785,plain,(
% 0.21/0.33 ( ! [X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))) )),
% 0.21/0.33 inference(cnf_transformation,[],[f611])).
% 0.21/0.33 thf(f854,definition,(
% 0.21/0.33 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.33 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.21/0.33 thf(f871,plain,(
% 0.21/0.33 ( ! [X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)) )),
% 0.21/0.33 inference(constrained_superposition,[],[f785,f854])).
% 0.21/0.33 thf(f873,plain,(
% 0.21/0.33 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $false)) )),
% 0.21/0.33 inference(constrained_superposition,[],[f785,f854])).
% 0.21/0.33 thf(f878,plain,(
% 0.21/0.33 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $false)) )),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f873])).
% 0.21/0.33 thf(f886,definition,(
% 0.21/0.33 spl6_1 <=> ! [X1 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition])).
% 0.21/0.33 thf(f887,plain,(
% 0.21/0.33 ( ! [X1 : $i] : ((((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)) ) | ~spl6_1),
% 0.21/0.33 inference(avatar_component_clause,[],[f886])).
% 0.21/0.33 thf(f889,definition,(
% 0.21/0.33 spl6_2 <=> ! [X0 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))),
% 0.21/0.33 introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition])).
% 0.21/0.33 thf(f890,plain,(
% 0.21/0.33 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))) ) | ~spl6_2),
% 0.21/0.33 inference(avatar_component_clause,[],[f889])).
% 0.21/0.33 thf(f891,plain,(
% 0.21/0.33 spl6_1 | spl6_2),
% 0.21/0.33 inference(avatar_split_clause,[],[f871,f889,f886])).
% 0.21/0.33 thf(f894,plain,(
% 0.21/0.33 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))) = $true) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.21/0.33 inference(constrained_superposition,[],[f666,f854])).
% 0.21/0.33 thf(f896,plain,(
% 0.21/0.33 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.21/0.33 inference(boolean_simplification,[],[f894])).
% 0.21/0.33 thf(f900,plain,(
% 0.21/0.33 ( ! [X0 : $i] : (($true = $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.21/0.33 inference(forward_demodulation,[],[f896,f878])).
% 0.21/0.33 thf(f901,plain,(
% 0.21/0.33 ( ! [X0 : $i] : ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f900])).
% 0.21/0.33 thf(f905,plain,(
% 0.21/0.33 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) )),
% 0.21/0.33 inference(backward_demodulation,[],[f666,f901])).
% 0.21/0.33 thf(f906,plain,(
% 0.21/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
% 0.21/0.33 inference(backward_demodulation,[],[f684,f901])).
% 0.21/0.33 thf(f907,plain,(
% 0.21/0.33 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.21/0.33 inference(boolean_simplification,[],[f905])).
% 0.21/0.33 thf(f912,plain,(
% 0.21/0.33 $false | ~spl6_2),
% 0.21/0.33 inference(forward_subsumption_resolution,[],[f907,f890])).
% 0.21/0.33 thf(f913,plain,(
% 0.21/0.33 ~spl6_2),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f912])).
% 0.21/0.33 thf(f922,plain,(
% 0.21/0.33 ( ! [X0 : $i] : (($false = ((holdsDuring_THFTYPE_IiooI @ X0 @ $false)))) ) | ~spl6_1),
% 0.21/0.33 inference(backward_demodulation,[],[f878,f887])).
% 0.21/0.33 thf(f923,plain,(
% 0.21/0.33 ($true = $false) | ~spl6_1),
% 0.21/0.33 inference(backward_demodulation,[],[f906,f922])).
% 0.21/0.33 thf(f924,plain,(
% 0.21/0.33 $false | ~spl6_1),
% 0.21/0.33 inference(trivial_inequality_removal,[],[f923])).
% 0.21/0.33 thf(f925,plain,(
% 0.21/0.33 ~spl6_1),
% 0.21/0.33 inference(avatar_contradiction_clause,[],[f924])).
% 0.21/0.33 cnf(s1, plain, spl6_1 | spl6_2, inference(sat_conversion,[],[f891])).
% 0.21/0.33 cnf(s5, plain, ~spl6_2, inference(sat_conversion,[],[f913])).
% 0.21/0.33 cnf(s10, plain, ~spl6_1, inference(sat_conversion,[],[f925])).
% 0.21/0.33 cnf(s11, plain, $false, inference(rat,[],[s1,s5,s10])).
% 0.21/0.33 thf(f926,plain,(
% 0.21/0.33 $false),
% 0.21/0.33 inference(avatar_sat_refutation,[],[s11])).
% 0.21/0.33 % SZS output end Proof for theBenchmark
% 0.21/0.33 % (2441575)------------------------------
% 0.21/0.33 % (2441575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2441575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2441575)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2441575)Termination reason: Refutation
% 0.21/0.33 % (2441575)Time elapsed: 0.023 s
% 0.21/0.33 % (2441575)Peak memory usage: 13 MB
% 0.21/0.33 % (2441575)Instructions burned: 45 (million)
% 0.21/0.33 % (2441565)Success in time 0.064 s
% 0.21/0.33 % Vampire exiting
%------------------------------------------------------------------------------