%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR130^1 : 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 : n020.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
% 0.00/0.04 % Problem : CSR130^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:56:20 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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 % (1388726)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (1388740)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 % (1388740)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 % (1388740)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=1436744073:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (1388736)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=176156064:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (1388734)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2101685665:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (1388735)lrs+10_16_si=on:nwc=1.5:random_seed=2951777969:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (1388738)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1944288287:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (1388737)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=1851322480: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 % (1388739)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2439689601:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (1388736)Instruction limit reached!
% 0.22/0.29 % (1388736)------------------------------
% 0.22/0.29 % (1388736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1388736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1388736)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1388736)Termination reason: Instruction limit
% 0.22/0.29 % (1388736)Termination phase: Saturation
% 0.22/0.29 % (1388736)Time elapsed: 0.002 s
% 0.22/0.29 % (1388736)Peak memory usage: 12 MB
% 0.22/0.29 % (1388736)Instructions burned: 3 (million)
% 0.22/0.29 % (1388740) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1388726-1388740"...
% 0.22/0.29 % (1388734)Refutation not found, incomplete strategy
% 0.22/0.29 % (1388734)------------------------------
% 0.22/0.29 % (1388734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1388734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1388734)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1388734)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (1388734)Time elapsed: 0.002 s
% 0.22/0.29 % (1388734)Peak memory usage: 12 MB
% 0.22/0.29 % (1388734)Instructions burned: 3 (million)
% 0.22/0.29 % (1388738)Refutation not found, incomplete strategy
% 0.22/0.29 % (1388738)------------------------------
% 0.22/0.29 % (1388738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1388738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1388738)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1388738)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (1388738)Time elapsed: 0.002 s
% 0.22/0.29 % (1388738)Peak memory usage: 11 MB
% 0.22/0.29 % (1388738)Instructions burned: 3 (million)
% 0.22/0.29 % (1388734)------------------------------
% 0.22/0.29 % (1388734)------------------------------
% 0.22/0.29 % (1388738)------------------------------
% 0.22/0.29 % (1388738)------------------------------
% 0.22/0.29 % (1388740)...printing done.
% 0.22/0.29 % (1388740)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) > $tType).
% 0.22/0.29 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.22/0.29 thf(func_def_7, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/0.29 thf(func_def_8, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_10, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.22/0.29 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.22/0.29 thf(func_def_15, type, vAND: ($o > $o > $o)).
% 0.22/0.29 thf(func_def_16, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.22/0.29 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 0.22/0.29 thf(func_def_18, type, db1: !>[X0: $tType]:(X0)).
% 0.22/0.29 thf(func_def_19, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.22/0.29 thf(func_def_21, type, sF1: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_22, type, sF2: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_23, type, sF3: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_24, type, sF4: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_25, type, sF5: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_26, type, sF6: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_27, type, sF7: (($i > $i > $o) > $o)).
% 0.22/0.29 thf(func_def_28, type, sK8: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(func_def_29, type, sK9: (($i > $i > $o) > $i)).
% 0.22/0.29 thf(f2,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001)).
% 0.22/0.29 thf(f3,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)).
% 0.22/0.29 thf(f5,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004)).
% 0.22/0.29 thf(f6,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005)).
% 0.22/0.29 thf(f8,axiom,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007)).
% 0.22/0.29 thf(f9,conjecture,(
% 0.22/0.29 ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X1 : $i,X2 : $i] : (X0 @ X1 @ X2)))),
% 0.22/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.22/0.29 thf(f10,negated_conjecture,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X1 : $i,X2 : $i] : (X0 @ X1 @ X2)))),
% 0.22/0.29 inference(negated_conjecture,[status(cth)],[f9])).
% 0.22/0.29 thf(f11,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,[],[f3])).
% 0.22/0.29 thf(f12,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,[],[f11])).
% 0.22/0.29 thf(f13,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,[],[f2])).
% 0.22/0.29 thf(f14,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,[],[f13])).
% 0.22/0.29 thf(f15,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,[],[f8])).
% 0.22/0.29 thf(f16,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,[],[f15])).
% 0.22/0.29 thf(f17,plain,(
% 0.22/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 0.22/0.29 inference(rectify,[],[f6])).
% 0.22/0.29 thf(f18,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f17])).
% 0.22/0.29 thf(f19,plain,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X1 : $i,X2 : $i] : (X0 @ X1 @ X2)))),
% 0.22/0.29 inference(rectify,[],[f10])).
% 0.22/0.29 thf(f20,plain,(
% 0.22/0.29 ~ ? [X0 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f19])).
% 0.22/0.29 thf(f27,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,[],[f5])).
% 0.22/0.29 thf(f28,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(fool_elimination,[],[f27])).
% 0.22/0.29 thf(f29,plain,(
% 0.22/0.29 ! [X0 : ($i > $i > $o)] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)),
% 0.22/0.29 inference(ennf_transformation,[],[f20])).
% 0.22/0.29 thf(f30,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f18])).
% 0.22/0.29 thf(f31,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,[],[f16])).
% 0.22/0.29 thf(f32,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,[],[f28])).
% 0.22/0.29 thf(f33,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(cnf_transformation,[],[f12])).
% 0.22/0.29 thf(f35,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)) )),
% 0.22/0.29 inference(cnf_transformation,[],[f29])).
% 0.22/0.29 thf(f37,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,[],[f14])).
% 0.22/0.29 thf(f40,definition,(
% 0.22/0.29 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.22/0.29 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.22/0.29 thf(f41,definition,(
% 0.22/0.29 (sF0 = ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.22/0.29 thf(f42,plain,(
% 0.22/0.29 (((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) = sF0)),
% 0.22/0.29 inference(reorient_equations,[],[f41])).
% 0.22/0.29 thf(f43,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF1 @ X0)) = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.22/0.29 thf(f44,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF2 @ X0)) = ((~ (sF1 @ X0))))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 0.22/0.29 thf(f45,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((~ (sF1 @ X0))) = ((sF2 @ X0)))) )),
% 0.22/0.29 inference(reorient_equations,[],[f44])).
% 0.22/0.29 thf(f46,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF3 @ X0)) = ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 0.22/0.29 thf(f47,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = ((sF3 @ X0)))) )),
% 0.22/0.29 inference(reorient_equations,[],[f46])).
% 0.22/0.29 thf(f48,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF4 @ X0)) = (((sF2 @ X0) & (sF3 @ X0))))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 0.22/0.29 thf(f49,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (((((sF2 @ X0) & (sF3 @ X0))) = ((sF4 @ X0)))) )),
% 0.22/0.29 inference(reorient_equations,[],[f48])).
% 0.22/0.29 thf(f50,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF5 @ X0)) = ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 0.22/0.29 thf(f51,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = ((sF5 @ X0)))) )),
% 0.22/0.29 inference(reorient_equations,[],[f50])).
% 0.22/0.29 thf(f52,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF6 @ X0)) = (((sF4 @ X0) & (sF5 @ X0))))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 0.22/0.29 thf(f53,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (((((sF4 @ X0) & (sF5 @ X0))) = ((sF6 @ X0)))) )),
% 0.22/0.29 inference(reorient_equations,[],[f52])).
% 0.22/0.29 thf(f54,definition,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF7 @ X0)) = ((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))))) )),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 0.22/0.29 thf(f55,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))) = ((sF7 @ X0)))) )),
% 0.22/0.29 inference(reorient_equations,[],[f54])).
% 0.22/0.29 thf(f56,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF7 @ X0)) != $true)) )),
% 0.22/0.29 inference(definition_folding,[],[f35,f55,f53,f51,f49,f47,f45,f43,f42])).
% 0.22/0.29 thf(f58,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF7 @ X0)) = $true) | (((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))) = $false)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f55])).
% 0.22/0.29 thf(f60,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF2 @ X0)) = $true) | (((~ (sF1 @ X0))) = $false)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f45])).
% 0.22/0.29 thf(f61,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF2 @ X0)) = $true) | (((sF1 @ X0)) = $true)) )),
% 0.22/0.29 inference(not_proxy_clausification,[],[f60])).
% 0.22/0.29 thf(f64,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (((((sF2 @ X0) & (sF3 @ X0))) = $false) | ($true = ((sF4 @ X0)))) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f49])).
% 0.22/0.29 thf(f65,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF4 @ X0))) | (((sF2 @ X0)) = $false) | (((sF3 @ X0)) = $false)) )),
% 0.22/0.29 inference(and_proxy_clausification,[],[f64])).
% 0.22/0.29 thf(f69,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((sF3 @ X0)) = $true)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f47])).
% 0.22/0.29 thf(f70,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0))) | ((((sF4 @ X0) & (sF5 @ X0))) = $true)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f53])).
% 0.22/0.29 thf(f71,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (((((sF4 @ X0) & (sF5 @ X0))) = $false) | ($true = ((sF6 @ X0)))) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f53])).
% 0.22/0.29 thf(f72,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF6 @ X0))) | (((sF5 @ X0)) = $false) | ($false = ((sF4 @ X0)))) )),
% 0.22/0.29 inference(and_proxy_clausification,[],[f71])).
% 0.22/0.29 thf(f73,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0))) | (((sF5 @ X0)) = $true)) )),
% 0.22/0.29 inference(and_proxy_clausification,[],[f70])).
% 0.22/0.29 thf(f76,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF1 @ X0))) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))) = $true)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f43])).
% 0.22/0.29 thf(f77,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o),X1 : $i] : (($false = ((sF1 @ X0))) | ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))) @ X1)) = $true)) )),
% 0.22/0.29 inference(pi_proxy_clausification,[],[f76])).
% 0.22/0.29 thf(f78,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ X1)))) = $true) | ($false = ((sF1 @ X0)))) )),
% 0.22/0.29 inference(beta-eta_normalization,[],[f77])).
% 0.22/0.29 thf(f79,plain,(
% 0.22/0.29 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($false = ((sF1 @ X0))) | ($true = (((^[Y0 : $i]: (X0 @ Y0 @ X1)) @ X2)))) )),
% 0.22/0.29 inference(pi_proxy_clausification,[],[f78])).
% 0.22/0.29 thf(f80,plain,(
% 0.22/0.29 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X2 @ X1)) = $true) | ($false = ((sF1 @ X0)))) )),
% 0.22/0.29 inference(beta-eta_normalization,[],[f79])).
% 0.22/0.29 thf(f85,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | (((sF5 @ X0)) = $false)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f51])).
% 0.22/0.29 thf(f86,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((sF5 @ X0)) = $true)) )),
% 0.22/0.29 inference(iff_proxy_clausification,[],[f51])).
% 0.22/0.29 thf(f107,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(forward_demodulation,[],[f30,f42])).
% 0.22/0.29 thf(f122,definition,(
% 0.22/0.29 spl10_1 <=> (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition])).
% 0.22/0.29 thf(f124,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $true) | ~spl10_1),
% 0.22/0.29 inference(avatar_component_clause,[],[f122])).
% 0.22/0.29 thf(f126,definition,(
% 0.22/0.29 spl10_2 <=> (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition])).
% 0.22/0.29 thf(f128,plain,(
% 0.22/0.29 (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl10_2),
% 0.22/0.29 inference(avatar_component_clause,[],[f126])).
% 0.22/0.29 thf(f131,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true) | ~spl10_2),
% 0.22/0.29 inference(constrained_superposition,[],[f107,f128])).
% 0.22/0.29 thf(f133,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(forward_demodulation,[],[f32,f42])).
% 0.22/0.29 thf(f147,plain,(
% 0.22/0.29 ($true = ((sF3 @ likes_THFTYPE_IiioI))) | (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true)),
% 0.22/0.29 inference(constrained_superposition,[],[f133,f69])).
% 0.22/0.29 thf(f164,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.22/0.29 inference(forward_demodulation,[],[f33,f42])).
% 0.22/0.29 thf(f169,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $true) | (((sF5 @ likes_THFTYPE_IiioI)) = $false)),
% 0.22/0.29 inference(constrained_superposition,[],[f164,f85])).
% 0.22/0.29 thf(f173,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true) | (((sF5 @ likes_THFTYPE_IiioI)) = $true)),
% 0.22/0.29 inference(constrained_superposition,[],[f164,f86])).
% 0.22/0.29 thf(f189,plain,(
% 0.22/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ sF0 @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))))),
% 0.22/0.29 inference(forward_demodulation,[],[f37,f42])).
% 0.22/0.29 thf(f191,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $true) | (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $false)),
% 0.22/0.29 inference(constrained_superposition,[],[f189,f40])).
% 0.22/0.29 thf(f195,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.22/0.29 inference(forward_demodulation,[],[f31,f42])).
% 0.22/0.29 thf(f196,plain,(
% 0.22/0.29 (((sF1 @ likes_THFTYPE_IiioI)) = $false) | (((holdsDuring_THFTYPE_IiooI @ sF0 @ (~ $true))) = $true)),
% 0.22/0.29 inference(constrained_superposition,[],[f195,f80])).
% 0.22/0.29 thf(f200,plain,(
% 0.22/0.29 (((sF1 @ likes_THFTYPE_IiioI)) = $false) | (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true)),
% 0.22/0.29 inference(boolean_simplification,[],[f196])).
% 0.22/0.29 thf(f202,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))) = $false)) )),
% 0.22/0.29 inference(forward_subsumption_resolution,[],[f58,f56])).
% 0.22/0.29 thf(f205,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF5 @ X0)) = $true) | (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $false)) )),
% 0.22/0.29 inference(constrained_superposition,[],[f202,f73])).
% 0.22/0.29 thf(f206,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0))) | (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $false)) )),
% 0.22/0.29 inference(constrained_superposition,[],[f202,f40])).
% 0.22/0.29 thf(f215,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = $true) | ($false = ((sF6 @ X0)))) ) | ~spl10_1),
% 0.22/0.29 inference(forward_demodulation,[],[f206,f124])).
% 0.22/0.29 thf(f216,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0)))) ) | ~spl10_1),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f215])).
% 0.22/0.29 thf(f222,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $false) | ~spl10_1),
% 0.22/0.29 inference(constrained_superposition,[],[f202,f216])).
% 0.22/0.29 thf(f224,plain,(
% 0.22/0.29 ($false = $true) | (~spl10_1 | ~spl10_2)),
% 0.22/0.29 inference(forward_demodulation,[],[f222,f131])).
% 0.22/0.29 thf(f225,plain,(
% 0.22/0.29 $false | (~spl10_1 | ~spl10_2)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f224])).
% 0.22/0.29 thf(f226,plain,(
% 0.22/0.29 ~spl10_1 | ~spl10_2),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f225])).
% 0.22/0.29 thf(f228,definition,(
% 0.22/0.29 spl10_4 <=> (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition])).
% 0.22/0.29 thf(f230,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true) | ~spl10_4),
% 0.22/0.29 inference(avatar_component_clause,[],[f228])).
% 0.22/0.29 thf(f237,definition,(
% 0.22/0.29 spl10_6 <=> (((sF5 @ likes_THFTYPE_IiioI)) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition])).
% 0.22/0.29 thf(f239,plain,(
% 0.22/0.29 (((sF5 @ likes_THFTYPE_IiioI)) = $true) | ~spl10_6),
% 0.22/0.29 inference(avatar_component_clause,[],[f237])).
% 0.22/0.29 thf(f240,plain,(
% 0.22/0.29 spl10_4 | spl10_6),
% 0.22/0.29 inference(avatar_split_clause,[],[f173,f237,f228])).
% 0.22/0.29 thf(f242,definition,(
% 0.22/0.29 spl10_7 <=> (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition])).
% 0.22/0.29 thf(f244,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $false) | ~spl10_7),
% 0.22/0.29 inference(avatar_component_clause,[],[f242])).
% 0.22/0.29 thf(f246,definition,(
% 0.22/0.29 spl10_8 <=> ! [X0 : ($i > $i > $o)] : (((sF5 @ X0)) = $true)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition])).
% 0.22/0.29 thf(f247,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF5 @ X0)) = $true)) ) | ~spl10_8),
% 0.22/0.29 inference(avatar_component_clause,[],[f246])).
% 0.22/0.29 thf(f248,plain,(
% 0.22/0.29 spl10_7 | spl10_8),
% 0.22/0.29 inference(avatar_split_clause,[],[f205,f246,f242])).
% 0.22/0.29 thf(f249,plain,(
% 0.22/0.29 spl10_7 | ~spl10_1),
% 0.22/0.29 inference(avatar_split_clause,[],[f222,f122,f242])).
% 0.22/0.29 thf(f251,definition,(
% 0.22/0.29 spl10_9 <=> ($true = ((sF3 @ likes_THFTYPE_IiioI)))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition])).
% 0.22/0.29 thf(f253,plain,(
% 0.22/0.29 ($true = ((sF3 @ likes_THFTYPE_IiioI))) | ~spl10_9),
% 0.22/0.29 inference(avatar_component_clause,[],[f251])).
% 0.22/0.29 thf(f254,plain,(
% 0.22/0.29 spl10_9 | spl10_4),
% 0.22/0.29 inference(avatar_split_clause,[],[f147,f228,f251])).
% 0.22/0.29 thf(f260,definition,(
% 0.22/0.29 spl10_11 <=> (((sF1 @ likes_THFTYPE_IiioI)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition])).
% 0.22/0.29 thf(f262,plain,(
% 0.22/0.29 (((sF1 @ likes_THFTYPE_IiioI)) = $false) | ~spl10_11),
% 0.22/0.29 inference(avatar_component_clause,[],[f260])).
% 0.22/0.29 thf(f263,plain,(
% 0.22/0.29 spl10_4 | spl10_11),
% 0.22/0.29 inference(avatar_split_clause,[],[f200,f260,f228])).
% 0.22/0.29 thf(f272,plain,(
% 0.22/0.29 ($false = $true) | (~spl10_4 | ~spl10_7)),
% 0.22/0.29 inference(forward_demodulation,[],[f230,f244])).
% 0.22/0.29 thf(f273,plain,(
% 0.22/0.29 $false | (~spl10_4 | ~spl10_7)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f272])).
% 0.22/0.29 thf(f274,plain,(
% 0.22/0.29 ~spl10_4 | ~spl10_7),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f273])).
% 0.22/0.29 thf(f293,definition,(
% 0.22/0.29 spl10_16 <=> (((sF5 @ likes_THFTYPE_IiioI)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition])).
% 0.22/0.29 thf(f295,plain,(
% 0.22/0.29 (((sF5 @ likes_THFTYPE_IiioI)) = $false) | ~spl10_16),
% 0.22/0.29 inference(avatar_component_clause,[],[f293])).
% 0.22/0.29 thf(f296,plain,(
% 0.22/0.29 spl10_1 | spl10_16),
% 0.22/0.29 inference(avatar_split_clause,[],[f169,f293,f122])).
% 0.22/0.29 thf(f310,definition,(
% 0.22/0.29 spl10_19 <=> (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition])).
% 0.22/0.29 thf(f312,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)) = $false) | ~spl10_19),
% 0.22/0.29 inference(avatar_component_clause,[],[f310])).
% 0.22/0.29 thf(f314,definition,(
% 0.22/0.29 spl10_20 <=> ! [X0 : ($i > $i > $o)] : ($false = ((sF6 @ X0)))),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition])).
% 0.22/0.29 thf(f315,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0)))) ) | ~spl10_20),
% 0.22/0.29 inference(avatar_component_clause,[],[f314])).
% 0.22/0.29 thf(f316,plain,(
% 0.22/0.29 spl10_19 | spl10_20),
% 0.22/0.29 inference(avatar_split_clause,[],[f206,f314,f310])).
% 0.22/0.29 thf(f329,definition,(
% 0.22/0.29 spl10_23 <=> (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $false)),
% 0.22/0.29 introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition])).
% 0.22/0.29 thf(f331,plain,(
% 0.22/0.29 (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $false) | ~spl10_23),
% 0.22/0.29 inference(avatar_component_clause,[],[f329])).
% 0.22/0.29 thf(f332,plain,(
% 0.22/0.29 spl10_23 | spl10_1),
% 0.22/0.29 inference(avatar_split_clause,[],[f191,f122,f329])).
% 0.22/0.29 thf(f341,plain,(
% 0.22/0.29 ( ! [X0 : $o] : ((((holdsDuring_THFTYPE_IiooI @ sF0 @ X0)) = $false) | ($false = X0)) ) | ~spl10_19),
% 0.22/0.29 inference(constrained_superposition,[],[f312,f40])).
% 0.22/0.29 thf(f355,plain,(
% 0.22/0.29 ($false = $true) | (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl10_19),
% 0.22/0.29 inference(constrained_superposition,[],[f107,f341])).
% 0.22/0.29 thf(f364,plain,(
% 0.22/0.29 (((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false) | ~spl10_19),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f355])).
% 0.22/0.29 thf(f383,plain,(
% 0.22/0.29 spl10_2 | ~spl10_19),
% 0.22/0.29 inference(avatar_split_clause,[],[f364,f310,f126])).
% 0.22/0.29 thf(f428,plain,(
% 0.22/0.29 ($false = $true) | (~spl10_8 | ~spl10_16)),
% 0.22/0.29 inference(forward_demodulation,[],[f295,f247])).
% 0.22/0.29 thf(f429,plain,(
% 0.22/0.29 $false | (~spl10_8 | ~spl10_16)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f428])).
% 0.22/0.29 thf(f430,plain,(
% 0.22/0.29 ~spl10_8 | ~spl10_16),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f429])).
% 0.22/0.29 thf(f544,plain,(
% 0.22/0.29 (((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)) = $true) | ~spl10_23),
% 0.22/0.29 inference(constrained_superposition,[],[f189,f331])).
% 0.22/0.29 thf(f549,plain,(
% 0.22/0.29 ($false = $true) | (~spl10_7 | ~spl10_23)),
% 0.22/0.29 inference(forward_demodulation,[],[f544,f244])).
% 0.22/0.29 thf(f550,plain,(
% 0.22/0.29 $false | (~spl10_7 | ~spl10_23)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f549])).
% 0.22/0.29 thf(f551,plain,(
% 0.22/0.29 ~spl10_7 | ~spl10_23),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f550])).
% 0.22/0.29 thf(f571,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF4 @ X0))) | ($false = $true) | (((sF5 @ X0)) = $false)) ) | ~spl10_20),
% 0.22/0.29 inference(forward_demodulation,[],[f72,f315])).
% 0.22/0.29 thf(f572,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF4 @ X0))) | (((sF5 @ X0)) = $false)) ) | ~spl10_20),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f571])).
% 0.22/0.29 thf(f595,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF2 @ X0)) = $false) | (((sF3 @ X0)) = $false) | ($false = $true) | (((sF5 @ X0)) = $false)) ) | ~spl10_20),
% 0.22/0.29 inference(constrained_superposition,[],[f65,f572])).
% 0.22/0.29 thf(f602,plain,(
% 0.22/0.29 ( ! [X0 : ($i > $i > $o)] : ((((sF5 @ X0)) = $false) | (((sF3 @ X0)) = $false) | (((sF2 @ X0)) = $false)) ) | ~spl10_20),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f595])).
% 0.22/0.29 thf(f607,plain,(
% 0.22/0.29 (((sF2 @ likes_THFTYPE_IiioI)) = $false) | ($false = ((sF3 @ likes_THFTYPE_IiioI))) | ($false = $true) | (~spl10_6 | ~spl10_20)),
% 0.22/0.29 inference(constrained_superposition,[],[f602,f239])).
% 0.22/0.29 thf(f611,plain,(
% 0.22/0.29 (((sF2 @ likes_THFTYPE_IiioI)) = $false) | ($false = ((sF3 @ likes_THFTYPE_IiioI))) | (~spl10_6 | ~spl10_20)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f607])).
% 0.22/0.29 thf(f613,plain,(
% 0.22/0.29 (((sF2 @ likes_THFTYPE_IiioI)) = $false) | ($false = $true) | (~spl10_6 | ~spl10_9 | ~spl10_20)),
% 0.22/0.29 inference(forward_demodulation,[],[f611,f253])).
% 0.22/0.29 thf(f614,plain,(
% 0.22/0.29 (((sF2 @ likes_THFTYPE_IiioI)) = $false) | (~spl10_6 | ~spl10_9 | ~spl10_20)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f613])).
% 0.22/0.29 thf(f623,plain,(
% 0.22/0.29 (((sF1 @ likes_THFTYPE_IiioI)) = $true) | ($false = $true) | (~spl10_6 | ~spl10_9 | ~spl10_20)),
% 0.22/0.29 inference(constrained_superposition,[],[f614,f61])).
% 0.22/0.29 thf(f627,plain,(
% 0.22/0.29 (((sF1 @ likes_THFTYPE_IiioI)) = $true) | (~spl10_6 | ~spl10_9 | ~spl10_20)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f623])).
% 0.22/0.29 thf(f632,plain,(
% 0.22/0.29 ($false = $true) | (~spl10_6 | ~spl10_9 | ~spl10_11 | ~spl10_20)),
% 0.22/0.29 inference(forward_demodulation,[],[f627,f262])).
% 0.22/0.29 thf(f633,plain,(
% 0.22/0.29 $false | (~spl10_6 | ~spl10_9 | ~spl10_11 | ~spl10_20)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f632])).
% 0.22/0.29 thf(f634,plain,(
% 0.22/0.29 ~spl10_6 | ~spl10_9 | ~spl10_11 | ~spl10_20),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f633])).
% 0.22/0.29 cnf(s3, plain, ~spl10_1 | ~spl10_2, inference(sat_conversion,[],[f226])).
% 0.22/0.29 cnf(s5, plain, spl10_4 | spl10_6, inference(sat_conversion,[],[f240])).
% 0.22/0.29 cnf(s6, plain, spl10_7 | spl10_8, inference(sat_conversion,[],[f248])).
% 0.22/0.29 cnf(s7, plain, ~spl10_1 | spl10_7, inference(sat_conversion,[],[f249])).
% 0.22/0.29 cnf(s8, plain, spl10_4 | spl10_9, inference(sat_conversion,[],[f254])).
% 0.22/0.29 cnf(s10, plain, spl10_4 | spl10_11, inference(sat_conversion,[],[f263])).
% 0.22/0.29 cnf(s12, plain, ~spl10_4 | ~spl10_7, inference(sat_conversion,[],[f274])).
% 0.22/0.29 cnf(s18, plain, spl10_1 | spl10_16, inference(sat_conversion,[],[f296])).
% 0.22/0.29 cnf(s23, plain, spl10_19 | spl10_20, inference(sat_conversion,[],[f316])).
% 0.22/0.29 cnf(s27, plain, spl10_1 | spl10_23, inference(sat_conversion,[],[f332])).
% 0.22/0.29 cnf(s30, plain, spl10_2 | ~spl10_19, inference(sat_conversion,[],[f383])).
% 0.22/0.29 cnf(s51, plain, ~spl10_8 | ~spl10_16, inference(sat_conversion,[],[f430])).
% 0.22/0.29 cnf(s63, plain, ~spl10_7 | ~spl10_23, inference(sat_conversion,[],[f551])).
% 0.22/0.29 cnf(s67, plain, ~spl10_6 | ~spl10_9 | ~spl10_11 | ~spl10_20, inference(sat_conversion,[],[f634])).
% 0.22/0.29 cnf(s68, plain, spl10_1, inference(rat,[],[s6,s51,s63,s18,s27])).
% 0.22/0.29 cnf(s69, plain, spl10_7, inference(rat,[],[s7,s68])).
% 0.22/0.29 cnf(s70, plain, ~spl10_2, inference(rat,[],[s3,s68])).
% 0.22/0.29 cnf(s77, plain, ~spl10_4, inference(rat,[],[s12,s69])).
% 0.22/0.29 cnf(s78, plain, ~spl10_19, inference(rat,[],[s30,s70])).
% 0.22/0.29 cnf(s79, plain, spl10_11, inference(rat,[],[s10,s77])).
% 0.22/0.29 cnf(s80, plain, spl10_9, inference(rat,[],[s8,s77])).
% 0.22/0.29 cnf(s81, plain, spl10_6, inference(rat,[],[s5,s77])).
% 0.22/0.29 cnf(s83, plain, spl10_20, inference(rat,[],[s23,s78])).
% 0.22/0.29 cnf(s84, plain, $false, inference(rat,[],[s67,s83,s79,s80,s81])).
% 0.22/0.29 thf(f635,plain,(
% 0.22/0.29 $false),
% 0.22/0.29 inference(avatar_sat_refutation,[],[s84])).
% 0.22/0.29 % SZS output end Proof for theBenchmark
% 0.22/0.29 % (1388740)------------------------------
% 0.22/0.29 % (1388740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (1388740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (1388740)CaDiCaL version: 2.1.3
% 0.22/0.29 % (1388740)Termination reason: Refutation
% 0.22/0.29 % (1388740)Time elapsed: 0.010 s
% 0.22/0.29 % (1388740)Peak memory usage: 13 MB
% 0.22/0.29 % (1388740)Instructions burned: 32 (million)
% 0.22/0.29 % (1388726)Success in time 0.027 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------