%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR134^1 : 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 : n003.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 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR134^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 % Computer : n003.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 17:57:44 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running higher-order theorem proving
% 0.25/0.29 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
% 0.25/0.33 % (2844034)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.33 % (2844043)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=402222375:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.25/0.33 % (2844043)Refutation not found, incomplete strategy
% 0.25/0.33 % (2844043)------------------------------
% 0.25/0.33 % (2844043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (2844043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (2844043)CaDiCaL version: 2.1.3
% 0.25/0.33 % (2844043)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.33 % (2844043)Time elapsed: 0.001 s
% 0.25/0.33 % (2844043)Peak memory usage: 11 MB
% 0.25/0.33 % (2844043)Instructions burned: 3 (million)
% 0.25/0.33 % (2844043)------------------------------
% 0.25/0.33 % (2844043)------------------------------
% 0.25/0.33 % (2844045)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.25/0.33 % (2844045)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
% 0.25/0.33 % (2844041)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=574288575:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.25/0.33 % (2844039)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=807414579:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.25/0.33 % (2844040)lrs+10_16_si=on:nwc=1.5:random_seed=3559801971:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.25/0.33 % (2844042)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=4142936616: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)
% 0.25/0.33 % (2844044)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1418000975:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.25/0.33 % (2844045)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=1377864161:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.25/0.33 % (2844041)Instruction limit reached!
% 0.25/0.33 % (2844041)------------------------------
% 0.25/0.33 % (2844041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (2844041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (2844041)CaDiCaL version: 2.1.3
% 0.25/0.33 % (2844041)Termination reason: Instruction limit
% 0.25/0.33 % (2844041)Termination phase: Saturation
% 0.25/0.33 % (2844041)Time elapsed: 0.002 s
% 0.25/0.33 % (2844041)Peak memory usage: 12 MB
% 0.25/0.33 % (2844041)Instructions burned: 3 (million)
% 0.25/0.33 % (2844039)Refutation not found, incomplete strategy
% 0.25/0.33 % (2844039)------------------------------
% 0.25/0.33 % (2844039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (2844039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (2844039)CaDiCaL version: 2.1.3
% 0.25/0.33 % (2844039)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.33 % (2844039)Time elapsed: 0.002 s
% 0.25/0.33 % (2844039)Peak memory usage: 12 MB
% 0.25/0.33 % (2844039)Instructions burned: 4 (million)
% 0.25/0.33 % (2844039)------------------------------
% 0.25/0.33 % (2844039)------------------------------
% 0.25/0.33 % (2844047)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=117113558:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.25/0.33 % (2844047)Instruction limit reached!
% 0.25/0.33 % (2844047)------------------------------
% 0.25/0.33 % (2844047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (2844047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (2844047)CaDiCaL version: 2.1.3
% 0.25/0.33 % (2844047)Termination reason: Instruction limit
% 0.25/0.33 % (2844047)Termination phase: Saturation
% 0.25/0.33 % (2844047)Time elapsed: 0.001 s
% 0.25/0.33 % (2844047)Peak memory usage: 12 MB
% 0.25/0.33 % (2844047)Instructions burned: 3 (million)
% 0.25/0.33 % (2844042) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2844034-2844042"...
% 0.25/0.33 % (2844040)Instruction limit reached!
% 0.25/0.33 % (2844040)------------------------------
% 0.25/0.33 % (2844040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (2844040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (2844040)CaDiCaL version: 2.1.3
% 0.25/0.33 % (2844040)Termination reason: Instruction limit
% 0.25/0.33 % (2844040)Termination phase: Saturation
% 0.25/0.33 % (2844040)Time elapsed: 0.009 s
% 0.25/0.33 % (2844040)Peak memory usage: 12 MB
% 0.25/0.33 % (2844040)Instructions burned: 19 (million)
% 0.25/0.33 % (2844042)...printing done.
% 0.25/0.33 % (2844045) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2844034-2844045"...
% 0.25/0.33 % (2844042)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Theorem for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% 0.25/0.33 thf(type_def_5, type, num: $tType).
% 0.25/0.33 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.25/0.33 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.25/0.33 thf(func_def_7, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.25/0.33 thf(func_def_8, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.25/0.33 thf(func_def_10, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.25/0.33 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.25/0.33 thf(func_def_15, type, vAND: ($o > $o > $o)).
% 0.25/0.33 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 0.25/0.33 thf(func_def_18, type, db1: !>[X0: $tType]:(X0)).
% 0.25/0.33 thf(func_def_19, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.25/0.33 thf(func_def_20, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.25/0.33 thf(f1,axiom,(
% 0.25/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.25/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.25/0.33 thf(f3,axiom,(
% 0.25/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 0.25/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.25/0.33 thf(f9,axiom,(
% 0.25/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))),
% 0.25/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008)).
% 0.25/0.33 thf(f11,conjecture,(
% 0.25/0.33 ? [X2 : $i,X1 : $i,X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 0.25/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.25/0.33 thf(f12,negated_conjecture,(
% 0.25/0.33 ~ ? [X2 : $i,X1 : $i,X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 0.25/0.33 inference(negated_conjecture,[status(cth)],[f11])).
% 0.25/0.33 thf(f15,plain,(
% 0.25/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))),
% 0.25/0.33 inference(rectify,[],[f9])).
% 0.25/0.33 thf(f16,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 0.25/0.33 inference(fool_elimination,[],[f15])).
% 0.25/0.33 thf(f21,plain,(
% 0.25/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.25/0.33 inference(rectify,[],[f1])).
% 0.25/0.33 thf(f22,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.25/0.33 inference(fool_elimination,[],[f21])).
% 0.25/0.33 thf(f25,plain,(
% 0.25/0.33 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 0.25/0.33 inference(rectify,[],[f3])).
% 0.25/0.33 thf(f26,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 0.25/0.33 inference(fool_elimination,[],[f25])).
% 0.25/0.33 thf(f31,plain,(
% 0.25/0.33 ~ ? [X0 : $i,X1 : $i,X2 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X2 @ X0 @ lAnna_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i))),
% 0.25/0.33 inference(rectify,[],[f12])).
% 0.25/0.33 thf(f32,plain,(
% 0.25/0.33 ~ ? [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))) = $true)),
% 0.25/0.33 inference(fool_elimination,[],[f31])).
% 0.25/0.33 thf(f35,plain,(
% 0.25/0.33 ! [X2 : ($i > $i > $o),X1 : $i,X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 @ X0 @ lAnna_THFTYPE_i))))) != $true)),
% 0.25/0.33 inference(ennf_transformation,[],[f32])).
% 0.25/0.33 thf(f36,plain,(
% 0.25/0.33 ! [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i))))))),
% 0.25/0.33 inference(rectify,[],[f35])).
% 0.25/0.33 thf(f38,plain,(
% 0.25/0.33 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i))))))) )),
% 0.25/0.33 inference(cnf_transformation,[],[f36])).
% 0.25/0.33 thf(f42,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 0.25/0.33 inference(cnf_transformation,[],[f26])).
% 0.25/0.33 thf(f45,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.25/0.33 inference(cnf_transformation,[],[f22])).
% 0.25/0.33 thf(f47,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 0.25/0.33 inference(cnf_transformation,[],[f16])).
% 0.25/0.33 thf(f50,definition,(
% 0.25/0.33 spl0_1 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 0.25/0.33 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.25/0.33 thf(f52,plain,(
% 0.25/0.33 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) = $true) | ~spl0_1),
% 0.25/0.34 inference(avatar_component_clause,[],[f50])).
% 0.25/0.34 thf(f53,plain,(
% 0.25/0.34 spl0_1),
% 0.25/0.34 inference(avatar_split_clause,[],[f47,f50])).
% 0.25/0.34 thf(f75,definition,(
% 0.25/0.34 spl0_6 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.25/0.34 thf(f77,plain,(
% 0.25/0.34 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true) | ~spl0_6),
% 0.25/0.34 inference(avatar_component_clause,[],[f75])).
% 0.25/0.34 thf(f78,plain,(
% 0.25/0.34 spl0_6),
% 0.25/0.34 inference(avatar_split_clause,[],[f42,f75])).
% 0.25/0.34 thf(f80,definition,(
% 0.25/0.34 spl0_7 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.25/0.34 thf(f82,plain,(
% 0.25/0.34 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true) | ~spl0_7),
% 0.25/0.34 inference(avatar_component_clause,[],[f80])).
% 0.25/0.34 thf(f83,plain,(
% 0.25/0.34 spl0_7),
% 0.25/0.34 inference(avatar_split_clause,[],[f45,f80])).
% 0.25/0.34 thf(f100,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ $true)))) != $true) | (((X0 @ X2 @ lAnna_THFTYPE_i)) = $false)) )),
% 0.25/0.34 inference(fool_paramodulation,[],[f38])).
% 0.25/0.34 thf(f102,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ($false = (((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i)))))) )),
% 0.25/0.34 inference(fool_paramodulation,[],[f38])).
% 0.25/0.34 thf(f103,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((~ (X0 @ X2 @ lAnna_THFTYPE_i))) = $false) | (((X0 @ X1 @ lAnna_THFTYPE_i)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))) )),
% 0.25/0.34 inference(and_proxy_clausification,[],[f102])).
% 0.25/0.34 thf(f104,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1 @ lAnna_THFTYPE_i)) = $false) | (((X0 @ X2 @ lAnna_THFTYPE_i)) = $true) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))) )),
% 0.25/0.34 inference(not_proxy_clausification,[],[f103])).
% 0.25/0.34 thf(f108,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X2 @ lAnna_THFTYPE_i)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & $false))))) )),
% 0.25/0.34 inference(boolean_simplification,[],[f100])).
% 0.25/0.34 thf(f109,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o)] : ((((X0 @ X2 @ lAnna_THFTYPE_i)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))) )),
% 0.25/0.34 inference(boolean_simplification,[],[f108])).
% 0.25/0.34 thf(f111,definition,(
% 0.25/0.34 spl0_11 <=> ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1 @ lAnna_THFTYPE_i)) = $false) | (((X0 @ X2 @ lAnna_THFTYPE_i)) = $true))),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
% 0.25/0.34 thf(f112,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X2 @ lAnna_THFTYPE_i)) = $true) | (((X0 @ X1 @ lAnna_THFTYPE_i)) = $false)) ) | ~spl0_11),
% 0.25/0.34 inference(avatar_component_clause,[],[f111])).
% 0.25/0.34 thf(f114,definition,(
% 0.25/0.34 spl0_12 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition])).
% 0.25/0.34 thf(f117,plain,(
% 0.25/0.34 spl0_11 | ~spl0_12),
% 0.25/0.34 inference(avatar_split_clause,[],[f104,f114,f111])).
% 0.25/0.34 thf(f119,definition,(
% 0.25/0.34 spl0_13 <=> ! [X2 : $i,X0 : ($i > $i > $o)] : (((X0 @ X2 @ lAnna_THFTYPE_i)) = $false)),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
% 0.25/0.34 thf(f120,plain,(
% 0.25/0.34 ( ! [X2 : $i,X0 : ($i > $i > $o)] : ((((X0 @ X2 @ lAnna_THFTYPE_i)) = $false)) ) | ~spl0_13),
% 0.25/0.34 inference(avatar_component_clause,[],[f119])).
% 0.25/0.34 thf(f122,definition,(
% 0.25/0.34 spl0_14 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
% 0.25/0.34 thf(f125,plain,(
% 0.25/0.34 spl0_13 | ~spl0_14),
% 0.25/0.34 inference(avatar_split_clause,[],[f109,f122,f119])).
% 0.25/0.34 thf(f126,plain,(
% 0.25/0.34 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $false) | ~spl0_1),
% 0.25/0.34 inference(fool_paramodulation,[],[f52])).
% 0.25/0.34 thf(f128,definition,(
% 0.25/0.34 spl0_15 <=> (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $false)),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
% 0.25/0.34 thf(f131,plain,(
% 0.25/0.34 spl0_15 | spl0_12 | ~spl0_1),
% 0.25/0.34 inference(avatar_split_clause,[],[f126,f50,f114,f128])).
% 0.25/0.34 thf(f194,plain,(
% 0.25/0.34 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true))) = $true) | (((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)) = $false)) ) | (~spl0_6 | ~spl0_11)),
% 0.25/0.34 inference(superposition,[],[f77,f112])).
% 0.25/0.34 thf(f196,plain,(
% 0.25/0.34 ( ! [X0 : $i] : ((((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))) ) | (~spl0_6 | ~spl0_11)),
% 0.25/0.34 inference(boolean_simplification,[],[f194])).
% 0.25/0.34 thf(f224,plain,(
% 0.25/0.34 ( ! [X2 : $i,X3 : ($i > $i > $o)] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (X3 @ Y0 @ Y1))))) @ X2 @ lAnna_THFTYPE_i)))) ) | ~spl0_13),
% 0.25/0.34 inference(primitive_instantiation,[],[f120])).
% 0.25/0.34 thf(f250,plain,(
% 0.25/0.34 ( ! [X2 : $i,X3 : ($i > $i > $o)] : ((((~ (X3 @ X2 @ lAnna_THFTYPE_i))) = $false)) ) | ~spl0_13),
% 0.25/0.34 inference(beta-eta_normalization,[],[f224])).
% 0.25/0.34 thf(f251,plain,(
% 0.25/0.34 ( ! [X2 : $i,X3 : ($i > $i > $o)] : (($true = ((X3 @ X2 @ lAnna_THFTYPE_i)))) ) | ~spl0_13),
% 0.25/0.34 inference(not_proxy_clausification,[],[f250])).
% 0.25/0.34 thf(f264,plain,(
% 0.25/0.34 ($true = $false) | ~spl0_13),
% 0.25/0.34 inference(forward_demodulation,[],[f251,f120])).
% 0.25/0.34 thf(f265,plain,(
% 0.25/0.34 $false | ~spl0_13),
% 0.25/0.34 inference(trivial_inequality_removal,[],[f264])).
% 0.25/0.34 thf(f266,plain,(
% 0.25/0.34 ~spl0_13),
% 0.25/0.34 inference(avatar_contradiction_clause,[],[f265])).
% 0.25/0.34 thf(f287,definition,(
% 0.25/0.34 spl0_22 <=> ! [X0 : $i] : (((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)) = $false)),
% 0.25/0.34 introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition])).
% 0.25/0.34 thf(f288,plain,(
% 0.25/0.34 ( ! [X0 : $i] : ((((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)) = $false)) ) | ~spl0_22),
% 0.25/0.34 inference(avatar_component_clause,[],[f287])).
% 0.25/0.34 thf(f289,plain,(
% 0.25/0.34 spl0_14 | spl0_22 | ~spl0_6 | ~spl0_11),
% 0.25/0.34 inference(avatar_split_clause,[],[f196,f111,f75,f287,f122])).
% 0.25/0.34 thf(f293,plain,(
% 0.25/0.34 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (~spl0_7 | ~spl0_22)),
% 0.25/0.34 inference(superposition,[],[f82,f288])).
% 0.25/0.34 thf(f315,plain,(
% 0.25/0.34 spl0_14 | ~spl0_7 | ~spl0_22),
% 0.25/0.34 inference(avatar_split_clause,[],[f293,f287,f80,f122])).
% 0.25/0.34 thf(f317,definition,(
% 0.25/0.34 (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) != $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.25/0.34 introduced(theory,[theory_tautology_sat_conflict])).
% 0.25/0.34 cnf(s1, plain, spl0_1, inference(sat_conversion,[],[f53])).
% 0.25/0.34 cnf(s6, plain, spl0_6, inference(sat_conversion,[],[f78])).
% 0.25/0.34 cnf(s7, plain, spl0_7, inference(sat_conversion,[],[f83])).
% 0.25/0.34 cnf(s11, plain, spl0_11 | ~spl0_12, inference(sat_conversion,[],[f117])).
% 0.25/0.34 cnf(s12, plain, spl0_13 | ~spl0_14, inference(sat_conversion,[],[f125])).
% 0.25/0.34 cnf(s13, plain, ~spl0_1 | spl0_12 | spl0_15, inference(sat_conversion,[],[f131])).
% 0.25/0.34 cnf(s23, plain, ~spl0_13, inference(sat_conversion,[],[f266])).
% 0.25/0.34 cnf(s30, plain, ~spl0_6 | ~spl0_11 | spl0_14 | spl0_22, inference(sat_conversion,[],[f289])).
% 0.25/0.34 cnf(s34, plain, ~spl0_7 | spl0_14 | ~spl0_22, inference(sat_conversion,[],[f315])).
% 0.25/0.34 cnf(s38, plain, ~spl0_1 | spl0_14 | ~spl0_15, inference(sat_conversion,[],[f317])).
% 0.25/0.34 cnf(s41, plain, ~spl0_14, inference(rat,[],[s12,s23])).
% 0.25/0.34 cnf(s42, plain, ~spl0_22, inference(rat,[],[s34,s41,s7])).
% 0.25/0.34 cnf(s43, plain, ~spl0_11, inference(rat,[],[s30,s42,s41,s6])).
% 0.25/0.34 cnf(s45, plain, ~spl0_12, inference(rat,[],[s11,s43])).
% 0.25/0.34 cnf(s48, plain, ~spl0_15, inference(rat,[],[s38,s41,s1])).
% 0.25/0.34 cnf(s49, plain, $false, inference(rat,[],[s13,s45,s48,s1])).
% 0.25/0.34 thf(f318,plain,(
% 0.25/0.34 $false),
% 0.25/0.34 inference(avatar_sat_refutation,[],[s49])).
% 0.25/0.34 % SZS output end Proof for theBenchmark
% 0.25/0.34 % (2844042)------------------------------
% 0.25/0.34 % (2844042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (2844042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (2844042)CaDiCaL version: 2.1.3
% 0.25/0.34 % (2844042)Termination reason: Refutation
% 0.25/0.34 % (2844042)Time elapsed: 0.010 s
% 0.25/0.34 % (2844042)Peak memory usage: 13 MB
% 0.25/0.34 % (2844042)Instructions burned: 15 (million)
% 0.25/0.34 % (2844034)Success in time 0.034 s
% 0.25/0.34 % Vampire exiting
%------------------------------------------------------------------------------