%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR130^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR130^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n010.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:55:48 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.29 % (3208518)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (3208525)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1622978152:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (3208525)Instruction limit reached!
% 0.22/0.29 % (3208525)------------------------------
% 0.22/0.29 % (3208525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208525)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208525)Termination reason: Instruction limit
% 0.22/0.29 % (3208525)Termination phase: Property scanning
% 0.22/0.29 % (3208525)Time elapsed: 0.002 s
% 0.22/0.29 % (3208525)Peak memory usage: 10 MB
% 0.22/0.29 % (3208525)Instructions burned: 7 (million)
% 0.22/0.29 % (3208529)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 % (3208529)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 % (3208524)lrs+10_16_si=on:nwc=1.5:random_seed=4284661807:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (3208523)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3834976548:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (3208526)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=2642102836: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 % (3208527)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2510390892:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (3208529)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=938936661:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (3208531)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1392703717:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.29 % (3208531)Instruction limit reached!
% 0.22/0.29 % (3208531)------------------------------
% 0.22/0.29 % (3208531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208531)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208531)Termination reason: Instruction limit
% 0.22/0.29 % (3208531)Termination phase: Naming
% 0.22/0.29 % (3208531)Time elapsed: 0.001 s
% 0.22/0.29 % (3208531)Peak memory usage: 10 MB
% 0.22/0.29 % (3208531)Instructions burned: 4 (million)
% 0.22/0.29 % (3208524)Instruction limit reached!
% 0.22/0.29 % (3208524)------------------------------
% 0.22/0.29 % (3208524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208524)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208524)Termination reason: Instruction limit
% 0.22/0.29 % (3208524)Termination phase: Saturation
% 0.22/0.29 % (3208524)Time elapsed: 0.009 s
% 0.22/0.29 % (3208524)Peak memory usage: 11 MB
% 0.22/0.29 % (3208524)Instructions burned: 20 (million)
% 0.22/0.29 % (3208523)Refutation not found, incomplete strategy
% 0.22/0.29 % (3208523)------------------------------
% 0.22/0.29 % (3208523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208523)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208523)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3208523)Time elapsed: 0.012 s
% 0.22/0.29 % (3208523)Peak memory usage: 12 MB
% 0.22/0.29 % (3208523)Instructions burned: 23 (million)
% 0.22/0.29 % (3208523)------------------------------
% 0.22/0.29 % (3208523)------------------------------
% 0.22/0.29 % (3208528)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3250297863:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (3208527)Instruction limit reached!
% 0.22/0.29 % (3208527)------------------------------
% 0.22/0.29 % (3208527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208527)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208527)Termination reason: Instruction limit
% 0.22/0.29 % (3208527)Termination phase: Saturation
% 0.22/0.29 % (3208527)Time elapsed: 0.013 s
% 0.22/0.29 % (3208527)Peak memory usage: 11 MB
% 0.22/0.29 % (3208527)Instructions burned: 24 (million)
% 0.22/0.29 % (3208538)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2894801232:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.29 % (3208538)Instruction limit reached!
% 0.22/0.29 % (3208538)------------------------------
% 0.22/0.29 % (3208538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208538)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208538)Termination reason: Instruction limit
% 0.22/0.29 % (3208538)Termination phase: Saturation
% 0.22/0.29 % (3208538)Time elapsed: 0.002 s
% 0.22/0.29 % (3208538)Peak memory usage: 11 MB
% 0.22/0.29 % (3208538)Instructions burned: 8 (million)
% 0.22/0.29 % (3208526) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3208518-3208526"...
% 0.22/0.29 % (3208526)...printing done.
% 0.22/0.29 % (3208539)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.29 % (3208526)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) > $tType).
% 0.22/0.29 thf(func_def_2, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_3, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.22/0.29 thf(func_def_4, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.22/0.29 thf(func_def_6, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.22/0.29 thf(func_def_7, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.22/0.29 thf(func_def_8, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.22/0.29 thf(func_def_9, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.22/0.29 thf(func_def_10, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_13, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_18, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_28, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_30, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_31, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_32, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_33, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_37, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_38, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_40, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_41, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_42, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_43, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.22/0.29 thf(func_def_44, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_45, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_47, type, vNOT: ($o > $o)).
% 0.22/0.29 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 0.22/0.29 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.22/0.29 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 0.22/0.29 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 0.22/0.29 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.22/0.29 thf(func_def_56, type, sK1: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_57, type, sK2: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.22/0.29 thf(func_def_59, type, sK3: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_60, type, sK4: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(f5,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004)).
% 0.22/0.29 thf(f7,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006)).
% 0.22/0.29 thf(f9,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008)).
% 0.22/0.29 thf(f21,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_020)).
% 0.22/0.29 thf(f65,conjecture,(
% 0.22/0.29 ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X2 : $i,X1 : $i] : (X0 @ X1 @ X2)))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.22/0.29 thf(f66,negated_conjecture,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X2 : $i,X1 : $i] : (X0 @ X1 @ X2)))),
% 0.22/0.29 inference(negated_conjecture,[status(cth)],[f65])).
% 0.22/0.29 thf(f101,plain,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 inference(rectify,[],[f7])).
% 0.22/0.29 thf(f102,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f101])).
% 0.22/0.29 thf(f105,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,[],[f5])).
% 0.22/0.29 thf(f106,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,[],[f105])).
% 0.22/0.29 thf(f119,plain,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))),
% 0.22/0.29 inference(rectify,[],[f21])).
% 0.22/0.29 thf(f120,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f119])).
% 0.22/0.29 thf(f169,plain,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.22/0.29 inference(rectify,[],[f9])).
% 0.22/0.29 thf(f170,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f169])).
% 0.22/0.29 thf(f183,plain,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X1 : $i,X2 : $i] : (X0 @ X2 @ X1)))),
% 0.22/0.29 inference(rectify,[],[f66])).
% 0.22/0.29 thf(f184,plain,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f183])).
% 0.22/0.29 thf(f208,plain,(
% 0.22/0.29 ! [X0 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)),
% 0.22/0.29 inference(ennf_transformation,[],[f184])).
% 0.22/0.29 thf(f250,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f120])).
% 0.22/0.29 thf(f269,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f170])).
% 0.22/0.29 thf(f270,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f102])).
% 0.22/0.29 thf(f273,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f106])).
% 0.22/0.29 thf(f285,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(cnf_transformation,[],[f208])).
% 0.22/0.29 thf(f302,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(beta-eta_normalization,[],[f285])).
% 0.22/0.29 thf(f328,definition,(
% 0.22/0.29 spl0_5 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 0.22/0.29 thf(f331,plain,(
% 0.22/0.29 spl0_5),
% 0.22/0.29 inference(avatar_split_clause,[],[f273,f328])).
% 0.22/0.29 thf(f338,definition,(
% 0.22/0.29 spl0_7 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.22/0.29 thf(f340,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true) | ~spl0_7),
% 0.22/0.29 inference(avatar_component_clause,[],[f338])).
% 0.22/0.29 thf(f341,plain,(
% 0.22/0.29 spl0_7),
% 0.22/0.29 inference(avatar_split_clause,[],[f270,f338])).
% 0.22/0.29 thf(f348,definition,(
% 0.22/0.29 spl0_9 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
% 0.22/0.29 thf(f350,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) = $true) | ~spl0_9),
% 0.22/0.29 inference(avatar_component_clause,[],[f348])).
% 0.22/0.29 thf(f351,plain,(
% 0.22/0.29 spl0_9),
% 0.22/0.29 inference(avatar_split_clause,[],[f250,f348])).
% 0.22/0.29 thf(f363,definition,(
% 0.22/0.29 spl0_12 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition])).
% 0.22/0.29 thf(f365,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true) | ~spl0_12),
% 0.22/0.29 inference(avatar_component_clause,[],[f363])).
% 0.22/0.29 thf(f366,plain,(
% 0.22/0.29 spl0_12),
% 0.22/0.29 inference(avatar_split_clause,[],[f269,f363])).
% 0.22/0.29 thf(f532,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ $true) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) = $false)) )),
% 0.22/0.29 inference(fool_paramodulation,[],[f302])).
% 0.22/0.29 thf(f535,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(fool_paramodulation,[],[f302])).
% 0.22/0.29 thf(f538,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (((((^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))) @ (sK1 @ X0))) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ $true) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(sigma_proxy_clausification,[],[f532])).
% 0.22/0.29 thf(f539,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((!! @ $i @ (X0 @ (sK1 @ X0))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ $true) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(beta-eta_normalization,[],[f538])).
% 0.22/0.29 thf(f540,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ $true) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | ($false = ((X0 @ (sK1 @ X0) @ (sK2 @ X0))))) )),
% 0.22/0.29 inference(sigma_proxy_clausification,[],[f539])).
% 0.22/0.29 thf(f541,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($false & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ($false = ((X0 @ (sK1 @ X0) @ (sK2 @ X0))))) )),
% 0.22/0.29 inference(boolean_simplification,[],[f540])).
% 0.22/0.29 thf(f542,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | ($false = ((X0 @ (sK1 @ X0) @ (sK2 @ X0))))) )),
% 0.22/0.29 inference(boolean_simplification,[],[f541])).
% 0.22/0.29 thf(f543,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((X0 @ (sK1 @ X0) @ (sK2 @ X0)))) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))) )),
% 0.22/0.29 inference(boolean_simplification,[],[f542])).
% 0.22/0.29 thf(f557,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))))) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 0.22/0.29 inference(and_proxy_clausification,[],[f535])).
% 0.22/0.29 thf(f558,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) = $true)) )),
% 0.22/0.29 inference(not_proxy_clausification,[],[f557])).
% 0.22/0.29 thf(f559,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | ((((^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))) @ X1)) = $true) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 0.22/0.29 inference(pi_proxy_clausification,[],[f558])).
% 0.22/0.29 thf(f560,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((!! @ $i @ (X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(beta-eta_normalization,[],[f559])).
% 0.22/0.29 thf(f561,plain,(
% 0.22/0.29 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | (((X0 @ X1 @ X2)) = $true) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 0.22/0.29 inference(pi_proxy_clausification,[],[f560])).
% 0.22/0.29 thf(f562,plain,(
% 0.22/0.29 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = $true)) )),
% 0.22/0.29 inference(boolean_simplification,[],[f561])).
% 0.22/0.29 thf(f564,definition,(
% 0.22/0.29 spl0_46 <=> ! [X0 : ($i > $i > $o)] : ($false = ((X0 @ (sK1 @ X0) @ (sK2 @ X0))))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition])).
% 0.22/0.29 thf(f565,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((X0 @ (sK1 @ X0) @ (sK2 @ X0))))) ) | ~spl0_46),
% 0.22/0.29 inference(avatar_component_clause,[],[f564])).
% 0.22/0.29 thf(f567,definition,(
% 0.22/0.29 spl0_47 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition])).
% 0.22/0.29 thf(f570,plain,(
% 0.22/0.29 spl0_46 | ~spl0_47),
% 0.22/0.29 inference(avatar_split_clause,[],[f543,f567,f564])).
% 0.22/0.29 thf(f572,definition,(
% 0.22/0.29 spl0_48 <=> ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = $true))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition])).
% 0.22/0.29 thf(f573,plain,(
% 0.22/0.29 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = $true)) ) | ~spl0_48),
% 0.22/0.29 inference(avatar_component_clause,[],[f572])).
% 0.22/0.29 thf(f575,definition,(
% 0.22/0.29 spl0_49 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition])).
% 0.22/0.29 thf(f579,plain,(
% 0.22/0.29 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((X0 @ X1 @ X2)) = $true) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 0.22/0.29 inference(fool_paramodulation,[],[f562])).
% 0.22/0.29 thf(f580,plain,(
% 0.22/0.29 ~spl0_49 | spl0_48),
% 0.22/0.29 inference(avatar_split_clause,[],[f579,f572,f575])).
% 0.22/0.29 thf(f588,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X1 @ X2)) = $true) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) ) | ~spl0_48),
% 0.22/0.29 inference(primitive_instantiation,[],[f573])).
% 0.22/0.29 thf(f596,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : ((((~ (X1 = X2))) = $true) | ($false = ((~ (lMary_THFTYPE_i = lBill_THFTYPE_i)))) | (((~ (lSue_THFTYPE_i = lBill_THFTYPE_i))) = $false)) ) | ~spl0_48),
% 0.22/0.29 inference(beta-eta_normalization,[],[f588])).
% 0.22/0.29 thf(f597,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : (($false = ((~ (lMary_THFTYPE_i = lBill_THFTYPE_i)))) | ($false = ((X1 = X2))) | (((~ (lSue_THFTYPE_i = lBill_THFTYPE_i))) = $false)) ) | ~spl0_48),
% 0.22/0.29 inference(not_proxy_clausification,[],[f596])).
% 0.22/0.29 thf(f598,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : (($true = ((lMary_THFTYPE_i = lBill_THFTYPE_i))) | (((~ (lSue_THFTYPE_i = lBill_THFTYPE_i))) = $false) | ($false = ((X1 = X2)))) ) | ~spl0_48),
% 0.22/0.29 inference(not_proxy_clausification,[],[f597])).
% 0.22/0.29 thf(f599,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : ((((~ (lSue_THFTYPE_i = lBill_THFTYPE_i))) = $false) | (lMary_THFTYPE_i = lBill_THFTYPE_i) | ($false = ((X1 = X2)))) ) | ~spl0_48),
% 0.22/0.29 inference(equality_proxy_clausification,[],[f598])).
% 0.22/0.29 thf(f600,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : ((lMary_THFTYPE_i = lBill_THFTYPE_i) | ($false = ((X1 = X2))) | ($true = ((lSue_THFTYPE_i = lBill_THFTYPE_i)))) ) | ~spl0_48),
% 0.22/0.29 inference(not_proxy_clausification,[],[f599])).
% 0.22/0.29 thf(f601,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : ((X1 != X2) | ($true = ((lSue_THFTYPE_i = lBill_THFTYPE_i))) | (lMary_THFTYPE_i = lBill_THFTYPE_i)) ) | ~spl0_48),
% 0.22/0.29 inference(equality_proxy_clausification,[],[f600])).
% 0.22/0.29 thf(f602,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : ((lMary_THFTYPE_i = lBill_THFTYPE_i) | (X1 != X2) | (lSue_THFTYPE_i = lBill_THFTYPE_i)) ) | ~spl0_48),
% 0.22/0.29 inference(equality_proxy_clausification,[],[f601])).
% 0.22/0.29 thf(f616,definition,(
% 0.22/0.29 spl0_51 <=> (lMary_THFTYPE_i = lBill_THFTYPE_i)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition])).
% 0.22/0.29 thf(f620,definition,(
% 0.22/0.29 spl0_52 <=> (lSue_THFTYPE_i = lBill_THFTYPE_i)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition])).
% 0.22/0.29 thf(f624,definition,(
% 0.22/0.29 spl0_53 <=> ! [X2 : $i,X1 : $i] : (X1 != X2)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition])).
% 0.22/0.29 thf(f625,plain,(
% 0.22/0.29 ( ! [X2 : $i,X1 : $i] : ((X1 != X2)) ) | ~spl0_53),
% 0.22/0.29 inference(avatar_component_clause,[],[f624])).
% 0.22/0.29 thf(f626,plain,(
% 0.22/0.29 spl0_51 | spl0_52 | spl0_53 | ~spl0_48),
% 0.22/0.29 inference(avatar_split_clause,[],[f602,f572,f624,f620,f616])).
% 0.22/0.29 thf(f635,definition,(
% 0.22/0.29 spl0_55 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition])).
% 0.22/0.29 thf(f640,plain,(
% 0.22/0.29 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((likes_THFTYPE_IiioI @ X0 @ X1)) = $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) ) | ~spl0_7),
% 0.22/0.29 inference(superposition,[],[f562,f340])).
% 0.22/0.29 thf(f641,plain,(
% 0.22/0.29 ( ! [X0 : $i,X1 : $i] : ((((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((likes_THFTYPE_IiioI @ X0 @ X1)) = $true)) ) | ~spl0_7),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f640])).
% 0.22/0.29 thf(f644,definition,(
% 0.22/0.29 spl0_56 <=> ! [X0 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X0 @ X1)) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition])).
% 0.22/0.29 thf(f645,plain,(
% 0.22/0.29 ( ! [X0 : $i,X1 : $i] : ((((likes_THFTYPE_IiioI @ X0 @ X1)) = $true)) ) | ~spl0_56),
% 0.22/0.29 inference(avatar_component_clause,[],[f644])).
% 0.22/0.29 thf(f646,plain,(
% 0.22/0.29 spl0_55 | spl0_56 | ~spl0_7),
% 0.22/0.29 inference(avatar_split_clause,[],[f641,f338,f644,f635])).
% 0.22/0.29 thf(f652,plain,(
% 0.22/0.29 (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ~spl0_9),
% 0.22/0.29 inference(fool_paramodulation,[],[f350])).
% 0.22/0.29 thf(f655,definition,(
% 0.22/0.29 spl0_58 <=> (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition])).
% 0.22/0.29 thf(f660,plain,(
% 0.22/0.29 spl0_49 | spl0_58 | ~spl0_9),
% 0.22/0.29 inference(avatar_split_clause,[],[f652,f348,f655,f575])).
% 0.22/0.29 thf(f792,plain,(
% 0.22/0.29 $false | ~spl0_53),
% 0.22/0.29 inference(flex-flex_simplification,[],[f625])).
% 0.22/0.29 thf(f793,plain,(
% 0.22/0.29 ~spl0_53),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f792])).
% 0.22/0.29 thf(f817,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true))) = $true) | (~spl0_12 | ~spl0_56)),
% 0.22/0.29 inference(superposition,[],[f365,f645])).
% 0.22/0.29 thf(f821,plain,(
% 0.22/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (~spl0_12 | ~spl0_56)),
% 0.22/0.29 inference(boolean_simplification,[],[f817])).
% 0.22/0.29 thf(f838,plain,(
% 0.22/0.29 ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) | ~spl0_46),
% 0.22/0.29 inference(primitive_instantiation,[],[f565])).
% 0.22/0.29 thf(f844,plain,(
% 0.22/0.29 ($false = $true) | ~spl0_46),
% 0.22/0.29 inference(beta-eta_normalization,[],[f838])).
% 0.22/0.29 thf(f845,plain,(
% 0.22/0.29 $false | ~spl0_46),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f844])).
% 0.22/0.29 thf(f846,plain,(
% 0.22/0.29 ~spl0_46),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f845])).
% 0.22/0.29 thf(f869,definition,(
% 0.22/0.29 (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) != $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.22/0.29 introduced(theory,[theory_tautology_sat_conflict])).
% 0.22/0.29 thf(f873,plain,(
% 0.22/0.29 spl0_47 | ~spl0_12 | ~spl0_56),
% 0.22/0.29 inference(avatar_split_clause,[],[f821,f644,f363,f567])).
% 0.22/0.29 thf(f874,definition,(
% 0.22/0.29 (lSue_THFTYPE_i != lBill_THFTYPE_i) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) != $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.22/0.29 introduced(theory,[theory_tautology_sat_conflict])).
% 0.22/0.29 thf(f875,definition,(
% 0.22/0.29 (lMary_THFTYPE_i != lBill_THFTYPE_i) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) != $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.22/0.29 introduced(theory,[theory_tautology_sat_conflict])).
% 0.22/0.29 cnf(s5, plain, spl0_5, inference(sat_conversion,[],[f331])).
% 0.22/0.29 cnf(s7, plain, spl0_7, inference(sat_conversion,[],[f341])).
% 0.22/0.29 cnf(s9, plain, spl0_9, inference(sat_conversion,[],[f351])).
% 0.22/0.29 cnf(s12, plain, spl0_12, inference(sat_conversion,[],[f366])).
% 0.22/0.29 cnf(s49, plain, spl0_46 | ~spl0_47, inference(sat_conversion,[],[f570])).
% 0.22/0.29 cnf(s51, plain, spl0_48 | ~spl0_49, inference(sat_conversion,[],[f580])).
% 0.22/0.29 cnf(s53, plain, ~spl0_48 | spl0_51 | spl0_52 | spl0_53, inference(sat_conversion,[],[f626])).
% 0.22/0.29 cnf(s57, plain, ~spl0_7 | spl0_55 | spl0_56, inference(sat_conversion,[],[f646])).
% 0.22/0.29 cnf(s61, plain, ~spl0_9 | spl0_49 | spl0_58, inference(sat_conversion,[],[f660])).
% 0.22/0.29 cnf(s77, plain, ~spl0_53, inference(sat_conversion,[],[f793])).
% 0.22/0.29 cnf(s86, plain, ~spl0_46, inference(sat_conversion,[],[f846])).
% 0.22/0.29 cnf(s92, plain, ~spl0_9 | spl0_47 | ~spl0_58, inference(sat_conversion,[],[f869])).
% 0.22/0.29 cnf(s93, plain, ~spl0_12 | spl0_47 | ~spl0_56, inference(sat_conversion,[],[f873])).
% 0.22/0.29 cnf(s95, plain, ~spl0_5 | spl0_47 | ~spl0_52 | ~spl0_55, inference(sat_conversion,[],[f874])).
% 0.22/0.29 cnf(s96, plain, ~spl0_5 | spl0_47 | ~spl0_51 | ~spl0_55, inference(sat_conversion,[],[f875])).
% 0.22/0.29 cnf(s97, plain, ~spl0_48 | spl0_51 | spl0_52, inference(rat,[],[s53,s77])).
% 0.22/0.29 cnf(s98, plain, ~spl0_47, inference(rat,[],[s49,s86])).
% 0.22/0.29 cnf(s99, plain, ~spl0_56, inference(rat,[],[s93,s98,s12])).
% 0.22/0.29 cnf(s101, plain, ~spl0_58, inference(rat,[],[s92,s98,s9])).
% 0.22/0.29 cnf(s102, plain, spl0_49, inference(rat,[],[s61,s101,s9])).
% 0.22/0.29 cnf(s103, plain, spl0_48, inference(rat,[],[s51,s102])).
% 0.22/0.29 cnf(s104, plain, spl0_55, inference(rat,[],[s57,s99,s7])).
% 0.22/0.29 cnf(s105, plain, ~spl0_51, inference(rat,[],[s96,s104,s98,s5])).
% 0.22/0.29 cnf(s106, plain, ~spl0_52, inference(rat,[],[s95,s104,s98,s5])).
% 0.22/0.29 cnf(s107, plain, $false, inference(rat,[],[s97,s103,s106,s105])).
% 0.22/0.29 thf(f876,plain,(
% 0.22/0.29 $false),
% 0.22/0.29 inference(avatar_sat_refutation,[],[s107])).
% 0.22/0.29 % SZS output end Proof for theBenchmark
% 0.22/0.29 % (3208526)------------------------------
% 0.22/0.29 % (3208526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3208526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3208526)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3208526)Termination reason: Refutation
% 0.22/0.29 % (3208526)Time elapsed: 0.022 s
% 0.22/0.29 % (3208526)Peak memory usage: 13 MB
% 0.22/0.29 % (3208526)Instructions burned: 38 (million)
% 0.22/0.29 % (3208518)Success in time 0.062 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------