%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR134^2 : 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 : n012.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 07:47:06 AM UTC 2026
% Result : Theorem 0.08s 0.18s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR134^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 17:55:34 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.13 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
% 0.08/0.18 % (461851)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.18 % (461866)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.18 % (461866)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
% 0.08/0.18 % (461860)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3988679583:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.18 % (461862)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1884666254:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.18 % (461861)lrs+10_16_si=on:nwc=1.5:random_seed=2025377555:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.18 % (461864)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3934780241:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.18 % (461866)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=1623862120:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.18 % (461865)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=311084072:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.18 % (461863)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=3931582295: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)
% 0.08/0.18 % (461862)Instruction limit reached!
% 0.08/0.18 % (461862)------------------------------
% 0.08/0.18 % (461862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (461862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (461862)CaDiCaL version: 2.1.3
% 0.08/0.18 % (461862)Termination reason: Instruction limit
% 0.08/0.18 % (461862)Termination phase: Property scanning
% 0.08/0.18 % (461862)Time elapsed: 0.001 s
% 0.08/0.18 % (461862)Peak memory usage: 10 MB
% 0.08/0.18 % (461862)Instructions burned: 4 (million)
% 0.08/0.18 % (461861)Instruction limit reached!
% 0.08/0.18 % (461861)------------------------------
% 0.08/0.18 % (461861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (461861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (461861)CaDiCaL version: 2.1.3
% 0.08/0.18 % (461861)Termination reason: Instruction limit
% 0.08/0.18 % (461861)Termination phase: Saturation
% 0.08/0.18 % (461861)Time elapsed: 0.005 s
% 0.08/0.18 % (461861)Peak memory usage: 12 MB
% 0.08/0.18 % (461861)Instructions burned: 21 (million)
% 0.08/0.18 % (461860)Refutation not found, incomplete strategy
% 0.08/0.18 % (461860)------------------------------
% 0.08/0.18 % (461860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (461860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (461860)CaDiCaL version: 2.1.3
% 0.08/0.18 % (461860)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.18 % (461860)Time elapsed: 0.007 s
% 0.08/0.18 % (461860)Peak memory usage: 12 MB
% 0.08/0.18 % (461860)Instructions burned: 27 (million)
% 0.08/0.18 % (461864)Instruction limit reached!
% 0.08/0.18 % (461864)------------------------------
% 0.08/0.18 % (461864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (461864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (461864)CaDiCaL version: 2.1.3
% 0.08/0.18 % (461864)Termination reason: Instruction limit
% 0.08/0.18 % (461864)Termination phase: Saturation
% 0.08/0.18 % (461864)Time elapsed: 0.007 s
% 0.08/0.18 % (461864)Peak memory usage: 12 MB
% 0.08/0.18 % (461864)Instructions burned: 26 (million)
% 0.08/0.18 % (461860)------------------------------
% 0.08/0.18 % (461860)------------------------------
% 0.08/0.18 % (461863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461851-461863"...
% 0.08/0.18 % (461874)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2591512558:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.18 % (461863)...printing done.
% 0.08/0.18 % (461863)Refutation found. Thanks to Tanya!
% 0.08/0.18 % SZS status Theorem for theBenchmark
% 0.08/0.18 % SZS output start Proof for theBenchmark
% 0.08/0.18 thf(type_def_5, type, num: $tType).
% 0.08/0.18 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.18 thf(func_def_2, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.08/0.18 thf(func_def_3, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.08/0.18 thf(func_def_4, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.18 thf(func_def_6, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.08/0.18 thf(func_def_7, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.08/0.18 thf(func_def_8, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.08/0.18 thf(func_def_9, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.08/0.18 thf(func_def_10, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_13, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.18 thf(func_def_18, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.18 thf(func_def_29, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.18 thf(func_def_31, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.18 thf(func_def_32, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_33, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_34, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_38, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_39, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_41, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_42, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_43, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_44, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.08/0.18 thf(func_def_45, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_46, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.18 thf(func_def_48, type, vNOT: ($o > $o)).
% 0.08/0.18 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 0.08/0.18 thf(func_def_52, type, sK0: ($i > $i)).
% 0.08/0.18 thf(f11,axiom,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.08/0.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_010)).
% 0.08/0.18 thf(f20,axiom,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 0.08/0.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019)).
% 0.08/0.18 thf(f24,axiom,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.08/0.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023)).
% 0.08/0.18 thf(f30,axiom,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.08/0.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_029)).
% 0.08/0.18 thf(f32,axiom,(
% 0.08/0.18 ! [X1 : $o,X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.08/0.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031)).
% 0.08/0.18 thf(f80,conjecture,(
% 0.08/0.18 ? [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 0.08/0.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.08/0.18 thf(f81,negated_conjecture,(
% 0.08/0.18 ~ ? [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 0.08/0.18 inference(negated_conjecture,[status(cth)],[f80])).
% 0.08/0.18 thf(f82,plain,(
% 0.08/0.18 ~ ? [X0 : $i,X1 : ($i > $i > $o),X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X1 @ X0 @ lAnna_THFTYPE_i)) & (X1 @ X2 @ lAnna_THFTYPE_i))),
% 0.08/0.18 inference(rectify,[],[f81])).
% 0.08/0.18 thf(f83,plain,(
% 0.08/0.18 ~ ? [X1 : ($i > $i > $o),X2 : $i,X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X1 @ X2 @ lAnna_THFTYPE_i) & (~ (X1 @ X0 @ lAnna_THFTYPE_i))))))),
% 0.08/0.18 inference(fool_elimination,[],[f82])).
% 0.08/0.18 thf(f130,plain,(
% 0.08/0.18 ! [X0 : $o,X1 : $i] : ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)) => (~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))),
% 0.08/0.18 inference(rectify,[],[f32])).
% 0.08/0.18 thf(f131,plain,(
% 0.08/0.18 ! [X1 : $i,X0 : $o] : (($true = ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)))) => ($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))))),
% 0.08/0.18 inference(fool_elimination,[],[f130])).
% 0.08/0.18 thf(f144,plain,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.08/0.18 inference(rectify,[],[f30])).
% 0.08/0.18 thf(f145,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.08/0.18 inference(fool_elimination,[],[f144])).
% 0.08/0.18 thf(f150,plain,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.08/0.18 inference(rectify,[],[f11])).
% 0.08/0.18 thf(f151,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.08/0.18 inference(fool_elimination,[],[f150])).
% 0.08/0.18 thf(f160,plain,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 0.08/0.18 inference(rectify,[],[f20])).
% 0.08/0.18 thf(f161,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 0.08/0.18 inference(fool_elimination,[],[f160])).
% 0.08/0.18 thf(f164,plain,(
% 0.08/0.18 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.08/0.18 inference(rectify,[],[f24])).
% 0.08/0.18 thf(f165,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.08/0.18 inference(fool_elimination,[],[f164])).
% 0.08/0.18 thf(f242,plain,(
% 0.08/0.18 ! [X0 : $o,X1 : $i] : (($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))) | ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)))))),
% 0.08/0.18 inference(ennf_transformation,[],[f131])).
% 0.08/0.18 thf(f254,plain,(
% 0.08/0.18 ! [X0 : $i,X2 : $i,X1 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X1 @ X2 @ lAnna_THFTYPE_i) & (~ (X1 @ X0 @ lAnna_THFTYPE_i))))))),
% 0.08/0.18 inference(ennf_transformation,[],[f83])).
% 0.08/0.18 thf(f273,plain,(
% 0.08/0.18 ! [X0 : $i,X1 : $i,X2 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))))),
% 0.08/0.18 inference(rectify,[],[f254])).
% 0.08/0.18 thf(f309,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.08/0.18 inference(cnf_transformation,[],[f145])).
% 0.08/0.18 thf(f320,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.08/0.18 inference(cnf_transformation,[],[f151])).
% 0.08/0.18 thf(f335,plain,(
% 0.08/0.18 ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))))) )),
% 0.08/0.18 inference(cnf_transformation,[],[f273])).
% 0.08/0.18 thf(f341,plain,(
% 0.08/0.18 ( ! [X0 : $o,X1 : $i] : (($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))) | ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0))))) )),
% 0.08/0.18 inference(cnf_transformation,[],[f242])).
% 0.08/0.18 thf(f344,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.08/0.18 inference(cnf_transformation,[],[f165])).
% 0.08/0.18 thf(f357,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 0.08/0.18 inference(cnf_transformation,[],[f161])).
% 0.08/0.18 thf(f367,plain,(
% 0.08/0.18 ( ! [X0 : $o,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0)))) | (((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false)) )),
% 0.08/0.18 inference(not_proxy_clausification,[],[f341])).
% 0.08/0.18 thf(f394,definition,(
% 0.08/0.18 spl1_6 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition])).
% 0.08/0.18 thf(f396,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true) | ~spl1_6),
% 0.08/0.18 inference(avatar_component_clause,[],[f394])).
% 0.08/0.18 thf(f397,plain,(
% 0.08/0.18 spl1_6),
% 0.08/0.18 inference(avatar_split_clause,[],[f309,f394])).
% 0.08/0.18 thf(f424,definition,(
% 0.08/0.18 spl1_12 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition])).
% 0.08/0.18 thf(f426,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true) | ~spl1_12),
% 0.08/0.18 inference(avatar_component_clause,[],[f424])).
% 0.08/0.18 thf(f427,plain,(
% 0.08/0.18 spl1_12),
% 0.08/0.18 inference(avatar_split_clause,[],[f344,f424])).
% 0.08/0.18 thf(f459,definition,(
% 0.08/0.18 spl1_19 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition])).
% 0.08/0.18 thf(f461,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true) | ~spl1_19),
% 0.08/0.18 inference(avatar_component_clause,[],[f459])).
% 0.08/0.18 thf(f462,plain,(
% 0.08/0.18 spl1_19),
% 0.08/0.18 inference(avatar_split_clause,[],[f357,f459])).
% 0.08/0.18 thf(f524,definition,(
% 0.08/0.18 spl1_32 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_32])],[avatar_definition])).
% 0.08/0.18 thf(f526,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true) | ~spl1_32),
% 0.08/0.18 inference(avatar_component_clause,[],[f524])).
% 0.08/0.18 thf(f527,plain,(
% 0.08/0.18 spl1_32),
% 0.08/0.18 inference(avatar_split_clause,[],[f320,f524])).
% 0.08/0.18 thf(f635,definition,(
% 0.08/0.18 spl1_52 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_52])],[avatar_definition])).
% 0.08/0.18 thf(f636,plain,(
% 0.08/0.18 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl1_52),
% 0.08/0.18 inference(avatar_component_clause,[],[f635])).
% 0.08/0.18 thf(f643,definition,(
% 0.08/0.18 spl1_54 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_54])],[avatar_definition])).
% 0.08/0.18 thf(f644,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | ~spl1_54),
% 0.08/0.18 inference(avatar_component_clause,[],[f643])).
% 0.08/0.18 thf(f658,plain,(
% 0.08/0.18 (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | ~spl1_12),
% 0.08/0.18 inference(fool_paramodulation,[],[f426])).
% 0.08/0.18 thf(f668,plain,(
% 0.08/0.18 ($true != $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $false) | ~spl1_6),
% 0.08/0.18 inference(superposition,[],[f367,f396])).
% 0.08/0.18 thf(f671,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $false) | ~spl1_6),
% 0.08/0.18 inference(trivial_inequality_removal,[],[f668])).
% 0.08/0.18 thf(f674,definition,(
% 0.08/0.18 spl1_57 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $false)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_57])],[avatar_definition])).
% 0.08/0.18 thf(f676,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $false) | ~spl1_57),
% 0.08/0.18 inference(avatar_component_clause,[],[f674])).
% 0.08/0.18 thf(f677,plain,(
% 0.08/0.18 spl1_57 | ~spl1_6),
% 0.08/0.18 inference(avatar_split_clause,[],[f671,f394,f674])).
% 0.08/0.18 thf(f679,definition,(
% 0.08/0.18 spl1_58 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_58])],[avatar_definition])).
% 0.08/0.18 thf(f681,plain,(
% 0.08/0.18 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | ~spl1_58),
% 0.08/0.18 inference(avatar_component_clause,[],[f679])).
% 0.08/0.18 thf(f683,plain,(
% 0.08/0.18 (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | ~spl1_19),
% 0.08/0.18 inference(fool_paramodulation,[],[f461])).
% 0.08/0.18 thf(f687,plain,(
% 0.08/0.18 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl1_19),
% 0.08/0.18 inference(boolean_simplification,[],[f683])).
% 0.08/0.18 thf(f696,definition,(
% 0.08/0.18 spl1_60 <=> (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_60])],[avatar_definition])).
% 0.08/0.18 thf(f698,plain,(
% 0.08/0.18 (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl1_60),
% 0.08/0.18 inference(avatar_component_clause,[],[f696])).
% 0.08/0.18 thf(f727,plain,(
% 0.08/0.18 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i) & (~ $false)))) != $true)) ) | ~spl1_60),
% 0.08/0.18 inference(superposition,[],[f335,f698])).
% 0.08/0.18 thf(f728,plain,(
% 0.08/0.18 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i) & $true))))) ) | ~spl1_60),
% 0.08/0.18 inference(boolean_simplification,[],[f727])).
% 0.08/0.18 thf(f729,plain,(
% 0.08/0.18 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i))))) ) | ~spl1_60),
% 0.08/0.18 inference(boolean_simplification,[],[f728])).
% 0.08/0.18 thf(f734,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $false) | (~spl1_57 | ~spl1_58)),
% 0.08/0.18 inference(forward_demodulation,[],[f676,f681])).
% 0.08/0.18 thf(f736,definition,(
% 0.08/0.18 spl1_63 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $false)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_63])],[avatar_definition])).
% 0.08/0.18 thf(f738,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $false) | ~spl1_63),
% 0.08/0.18 inference(avatar_component_clause,[],[f736])).
% 0.08/0.18 thf(f739,plain,(
% 0.08/0.18 spl1_63 | ~spl1_57 | ~spl1_58),
% 0.08/0.18 inference(avatar_split_clause,[],[f734,f679,f674,f736])).
% 0.08/0.18 thf(f749,plain,(
% 0.08/0.18 ($true != $true) | (~spl1_32 | ~spl1_60)),
% 0.08/0.18 inference(superposition,[],[f729,f526])).
% 0.08/0.18 thf(f751,plain,(
% 0.08/0.18 $false | (~spl1_32 | ~spl1_60)),
% 0.08/0.18 inference(trivial_inequality_removal,[],[f749])).
% 0.08/0.18 thf(f752,plain,(
% 0.08/0.18 ~spl1_32 | ~spl1_60),
% 0.08/0.18 inference(avatar_contradiction_clause,[],[f751])).
% 0.08/0.18 thf(f757,plain,(
% 0.08/0.18 ($true = $false) | (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | (~spl1_19 | ~spl1_63)),
% 0.08/0.18 inference(forward_demodulation,[],[f687,f738])).
% 0.08/0.18 thf(f758,plain,(
% 0.08/0.18 (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | (~spl1_19 | ~spl1_63)),
% 0.08/0.18 inference(trivial_inequality_removal,[],[f757])).
% 0.08/0.18 thf(f762,plain,(
% 0.08/0.18 spl1_60 | ~spl1_19 | ~spl1_63),
% 0.08/0.18 inference(avatar_split_clause,[],[f758,f736,f459,f696])).
% 0.08/0.18 thf(f765,plain,(
% 0.08/0.18 spl1_60 | spl1_52 | ~spl1_19),
% 0.08/0.18 inference(avatar_split_clause,[],[f687,f459,f635,f696])).
% 0.08/0.18 thf(f767,plain,(
% 0.08/0.18 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $false) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | ~spl1_57),
% 0.08/0.18 inference(fool_paramodulation,[],[f676])).
% 0.08/0.18 thf(f772,plain,(
% 0.08/0.18 ($true = $false) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | (~spl1_54 | ~spl1_57)),
% 0.08/0.18 inference(forward_demodulation,[],[f767,f644])).
% 0.08/0.18 thf(f773,plain,(
% 0.08/0.18 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | (~spl1_54 | ~spl1_57)),
% 0.08/0.18 inference(trivial_inequality_removal,[],[f772])).
% 0.08/0.18 thf(f774,plain,(
% 0.08/0.18 spl1_58 | ~spl1_54 | ~spl1_57),
% 0.08/0.18 inference(avatar_split_clause,[],[f773,f674,f643,f679])).
% 0.08/0.18 thf(f791,definition,(
% 0.08/0.18 spl1_67 <=> (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
% 0.08/0.18 introduced(definition,[new_symbols(definition,[spl1_67])],[avatar_definition])).
% 0.08/0.18 thf(f793,plain,(
% 0.08/0.18 (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl1_67),
% 0.08/0.18 inference(avatar_component_clause,[],[f791])).
% 0.08/0.18 thf(f794,plain,(
% 0.08/0.18 spl1_54 | spl1_67 | ~spl1_12),
% 0.08/0.18 inference(avatar_split_clause,[],[f658,f424,f791,f643])).
% 0.08/0.18 thf(f833,plain,(
% 0.08/0.18 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (~ (parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i))))))) ) | ~spl1_67),
% 0.08/0.18 inference(superposition,[],[f335,f793])).
% 0.08/0.18 thf(f835,plain,(
% 0.08/0.18 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl1_67),
% 0.08/0.18 inference(boolean_simplification,[],[f833])).
% 0.08/0.18 thf(f838,plain,(
% 0.08/0.18 $false | (~spl1_52 | ~spl1_67)),
% 0.08/0.18 inference(forward_subsumption_resolution,[],[f835,f636])).
% 0.08/0.18 thf(f839,plain,(
% 0.08/0.18 ~spl1_52 | ~spl1_67),
% 0.08/0.18 inference(avatar_contradiction_clause,[],[f838])).
% 0.08/0.18 cnf(s6, plain, spl1_6, inference(sat_conversion,[],[f397])).
% 0.08/0.18 cnf(s12, plain, spl1_12, inference(sat_conversion,[],[f427])).
% 0.08/0.18 cnf(s20, plain, spl1_19, inference(sat_conversion,[],[f462])).
% 0.08/0.18 cnf(s36, plain, spl1_32, inference(sat_conversion,[],[f527])).
% 0.08/0.18 cnf(s66, plain, ~spl1_6 | spl1_57, inference(sat_conversion,[],[f677])).
% 0.08/0.18 cnf(s72, plain, ~spl1_57 | ~spl1_58 | spl1_63, inference(sat_conversion,[],[f739])).
% 0.08/0.18 cnf(s73, plain, ~spl1_32 | ~spl1_60, inference(sat_conversion,[],[f752])).
% 0.08/0.18 cnf(s76, plain, ~spl1_19 | spl1_60 | ~spl1_63, inference(sat_conversion,[],[f762])).
% 0.08/0.18 cnf(s79, plain, ~spl1_19 | spl1_52 | spl1_60, inference(sat_conversion,[],[f765])).
% 0.08/0.18 cnf(s81, plain, ~spl1_54 | ~spl1_57 | spl1_58, inference(sat_conversion,[],[f774])).
% 0.08/0.18 cnf(s85, plain, ~spl1_12 | spl1_54 | spl1_67, inference(sat_conversion,[],[f794])).
% 0.08/0.18 cnf(s92, plain, ~spl1_52 | ~spl1_67, inference(sat_conversion,[],[f839])).
% 0.08/0.18 cnf(s94, plain, ~spl1_60, inference(rat,[],[s73,s36])).
% 0.08/0.18 cnf(s95, plain, spl1_52, inference(rat,[],[s79,s94,s20])).
% 0.08/0.18 cnf(s96, plain, ~spl1_63, inference(rat,[],[s76,s94,s20])).
% 0.08/0.18 cnf(s98, plain, ~spl1_67, inference(rat,[],[s92,s95])).
% 0.08/0.18 cnf(s101, plain, spl1_54, inference(rat,[],[s85,s98,s12])).
% 0.08/0.18 cnf(s103, plain, spl1_57, inference(rat,[],[s66,s6])).
% 0.08/0.18 cnf(s104, plain, spl1_58, inference(rat,[],[s81,s101,s103])).
% 0.08/0.18 cnf(s105, plain, $false, inference(rat,[],[s72,s96,s104,s103])).
% 0.08/0.18 thf(f840,plain,(
% 0.08/0.18 $false),
% 0.08/0.18 inference(avatar_sat_refutation,[],[s105])).
% 0.08/0.18 % SZS output end Proof for theBenchmark
% 0.08/0.18 % (461863)------------------------------
% 0.08/0.18 % (461863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (461863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (461863)CaDiCaL version: 2.1.3
% 0.08/0.18 % (461863)Termination reason: Refutation
% 0.08/0.18 % (461863)Time elapsed: 0.010 s
% 0.08/0.18 % (461863)Peak memory usage: 13 MB
% 0.08/0.18 % (461863)Instructions burned: 34 (million)
% 0.08/0.18 % (461851)Success in time 0.043 s
% 0.08/0.18 % Vampire exiting
%------------------------------------------------------------------------------