TSTP Solution File: CSR137^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:35:48 EDT 2024
% Result : Theorem 0.18s 0.34s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun May 19 02:24:07 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a TH0_THM_EQU_NAR problem
% 0.18/0.32 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.33 % (13259)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.34 % (13259)Instruction limit reached!
% 0.18/0.34 % (13259)------------------------------
% 0.18/0.34 % (13259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.34 % (13259)Termination reason: Unknown
% 0.18/0.34 % (13259)Termination phase: Preprocessing 3
% 0.18/0.34
% 0.18/0.34 % (13259)Memory used [KB]: 1023
% 0.18/0.34 % (13259)Time elapsed: 0.003 s
% 0.18/0.34 % (13259)Instructions burned: 4 (million)
% 0.18/0.34 % (13259)------------------------------
% 0.18/0.34 % (13259)------------------------------
% 0.18/0.34 % (13260)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.34 % (13256)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.34 % (13258)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.18/0.34 % (13261)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.18/0.34 % (13257)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.34 % (13260)Instruction limit reached!
% 0.18/0.34 % (13260)------------------------------
% 0.18/0.34 % (13260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.34 % (13260)Termination reason: Unknown
% 0.18/0.34 % (13260)Termination phase: shuffling
% 0.18/0.34
% 0.18/0.34 % (13260)Memory used [KB]: 1023
% 0.18/0.34 % (13260)Time elapsed: 0.003 s
% 0.18/0.34 % (13260)Instructions burned: 4 (million)
% 0.18/0.34 % (13260)------------------------------
% 0.18/0.34 % (13260)------------------------------
% 0.18/0.34 % (13262)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.34 % (13257)Instruction limit reached!
% 0.18/0.34 % (13257)------------------------------
% 0.18/0.34 % (13257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.34 % (13257)Termination reason: Unknown
% 0.18/0.34 % (13257)Termination phase: Property scanning
% 0.18/0.34
% 0.18/0.34 % (13257)Memory used [KB]: 1023
% 0.18/0.34 % (13257)Time elapsed: 0.004 s
% 0.18/0.34 % (13257)Instructions burned: 6 (million)
% 0.18/0.34 % (13257)------------------------------
% 0.18/0.34 % (13257)------------------------------
% 0.18/0.34 % (13261)First to succeed.
% 0.18/0.34 % (13261)Refutation found. Thanks to Tanya!
% 0.18/0.34 % SZS status Theorem for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% 0.18/0.34 thf(func_def_0, type, num: $tType).
% 0.18/0.34 thf(func_def_2, type, domain_THFTYPE_IIiioIiioI: ($i > $i > $o) > $i > $i > $o).
% 0.18/0.34 thf(func_def_3, type, domain_THFTYPE_IiiioI: $i > $i > $i > $o).
% 0.18/0.34 thf(func_def_5, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.18/0.34 thf(func_def_6, type, instance_THFTYPE_IIiioIioI: ($i > $i > $o) > $i > $o).
% 0.18/0.34 thf(func_def_7, type, instance_THFTYPE_IIiooIioI: ($i > $o > $o) > $i > $o).
% 0.18/0.34 thf(func_def_8, type, instance_THFTYPE_IiioI: $i > $i > $o).
% 0.18/0.34 thf(func_def_18, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.18/0.34 thf(func_def_21, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 0.18/0.34 thf(func_def_22, type, range_THFTYPE_IiioI: $i > $i > $o).
% 0.18/0.34 thf(func_def_23, type, subclass_THFTYPE_IiioI: $i > $i > $o).
% 0.18/0.34 thf(func_def_24, type, subrelation_THFTYPE_IIioIIioIoI: ($i > $o) > ($i > $o) > $o).
% 0.18/0.34 thf(func_def_25, type, subrelation_THFTYPE_IiioI: $i > $i > $o).
% 0.18/0.34 thf(func_def_35, type, ph1: !>[X0: $tType]:(X0)).
% 0.18/0.35 thf(f297,plain,(
% 0.18/0.35 $false),
% 0.18/0.35 inference(avatar_sat_refutation,[],[f192,f199,f201,f230,f234,f294,f296])).
% 0.18/0.35 thf(f296,plain,(
% 0.18/0.35 ~spl0_5 | ~spl0_6),
% 0.18/0.35 inference(avatar_contradiction_clause,[],[f295])).
% 0.18/0.35 thf(f295,plain,(
% 0.18/0.35 $false | (~spl0_5 | ~spl0_6)),
% 0.18/0.35 inference(subsumption_resolution,[],[f233,f229])).
% 0.18/0.35 thf(f229,plain,(
% 0.18/0.35 ( ! [X1 : $i] : ((lAnna_THFTYPE_i != X1)) ) | ~spl0_5),
% 0.18/0.35 inference(avatar_component_clause,[],[f228])).
% 0.18/0.35 thf(f228,plain,(
% 0.18/0.35 spl0_5 <=> ! [X1] : (lAnna_THFTYPE_i != X1)),
% 0.18/0.35 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.18/0.35 thf(f233,plain,(
% 0.18/0.35 ( ! [X1 : $i] : ((lAnna_THFTYPE_i = X1)) ) | ~spl0_6),
% 0.18/0.35 inference(avatar_component_clause,[],[f232])).
% 0.18/0.35 thf(f232,plain,(
% 0.18/0.35 spl0_6 <=> ! [X1] : (lAnna_THFTYPE_i = X1)),
% 0.18/0.35 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.18/0.35 thf(f294,plain,(
% 0.18/0.35 ~spl0_1),
% 0.18/0.35 inference(avatar_contradiction_clause,[],[f293])).
% 0.18/0.35 thf(f293,plain,(
% 0.18/0.35 $false | ~spl0_1),
% 0.18/0.35 inference(trivial_inequality_removal,[],[f292])).
% 0.18/0.35 thf(f292,plain,(
% 0.18/0.35 ($true = $false) | ~spl0_1),
% 0.18/0.35 inference(forward_demodulation,[],[f261,f282])).
% 0.18/0.35 thf(f282,plain,(
% 0.18/0.35 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) = $false)) ) | ~spl0_1),
% 0.18/0.35 inference(not_proxy_clausification,[],[f268])).
% 0.18/0.35 thf(f268,plain,(
% 0.18/0.35 ( ! [X0 : $i] : (((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) = $true)) ) | ~spl0_1),
% 0.18/0.35 inference(superposition,[],[f147,f188])).
% 0.18/0.35 thf(f188,plain,(
% 0.18/0.35 ( ! [X6 : $i,X4 : $i] : ((X4 = X6)) ) | ~spl0_1),
% 0.18/0.35 inference(avatar_component_clause,[],[f187])).
% 0.18/0.35 thf(f187,plain,(
% 0.18/0.35 spl0_1 <=> ! [X6,X4] : (X4 = X6)),
% 0.18/0.35 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.18/0.35 thf(f147,plain,(
% 0.18/0.35 ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)),
% 0.18/0.35 inference(cnf_transformation,[],[f129])).
% 0.18/0.35 thf(f129,plain,(
% 0.18/0.35 ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)),
% 0.18/0.35 inference(fool_elimination,[],[f128])).
% 0.18/0.35 thf(f128,plain,(
% 0.18/0.35 (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))),
% 0.18/0.35 inference(rectify,[],[f3])).
% 0.18/0.35 thf(f3,axiom,(
% 0.18/0.35 (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))),
% 0.18/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)).
% 0.18/0.35 thf(f261,plain,(
% 0.18/0.35 ( ! [X0 : $i] : (($true = (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) ) | ~spl0_1),
% 0.18/0.35 inference(superposition,[],[f149,f188])).
% 0.18/0.35 thf(f149,plain,(
% 0.18/0.35 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.18/0.35 inference(cnf_transformation,[],[f51])).
% 0.18/0.35 thf(f51,plain,(
% 0.18/0.35 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.18/0.35 inference(fool_elimination,[],[f50])).
% 0.18/0.35 thf(f50,plain,(
% 0.18/0.35 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.18/0.35 inference(rectify,[],[f1])).
% 0.18/0.35 thf(f1,axiom,(
% 0.18/0.35 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.18/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
% 0.18/0.35 thf(f234,plain,(
% 0.18/0.35 spl0_6 | spl0_3 | ~spl0_2 | ~spl0_4),
% 0.18/0.35 inference(avatar_split_clause,[],[f220,f197,f190,f194,f232])).
% 0.18/0.35 thf(f194,plain,(
% 0.18/0.35 spl0_3 <=> ! [X6,X4] : (X4 != X6)),
% 0.18/0.35 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.18/0.35 thf(f190,plain,(
% 0.18/0.35 spl0_2 <=> ! [X3,X0 : $i > $i > $o,X5,X1] : ((lBill_THFTYPE_i != X1) | ($true = (X0 @ X5 @ X3)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true))),
% 0.18/0.35 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.18/0.35 thf(f197,plain,(
% 0.18/0.35 spl0_4 <=> ! [X3,X0 : $i > $i > $o,X5,X1] : (($true = (X0 @ X5 @ X3)) | (lBill_THFTYPE_i = X1) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true))),
% 0.18/0.35 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.18/0.35 thf(f220,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : ((X3 != X5) | (lAnna_THFTYPE_i = X1)) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f219])).
% 0.18/0.35 thf(f219,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : ((lAnna_THFTYPE_i = X1) | ($false = (X3 = X5))) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f218])).
% 0.18/0.35 thf(f218,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (((lAnna_THFTYPE_i = X1) = $true) | ($false = (X3 = X5))) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(not_proxy_clausification,[],[f217])).
% 0.18/0.35 thf(f217,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (((~ (lAnna_THFTYPE_i = X1)) != $true) | ($false = (X3 = X5))) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(not_proxy_clausification,[],[f216])).
% 0.18/0.35 thf(f216,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (((~ (X3 = X5)) = $true) | ((~ (lAnna_THFTYPE_i = X1)) != $true)) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(beta_eta_normalization,[],[f204])).
% 0.18/0.35 thf(f204,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X5 @ X3)) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X1 @ lAnna_THFTYPE_i))) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(primitive_instantiation,[],[f202])).
% 0.18/0.35 thf(f202,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X5 : $i] : (($true = (X0 @ X5 @ X3)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(subsumption_resolution,[],[f198,f191])).
% 0.18/0.35 thf(f191,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X5 : $i] : ((lBill_THFTYPE_i != X1) | ($true = (X0 @ X5 @ X3)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) ) | ~spl0_2),
% 0.18/0.35 inference(avatar_component_clause,[],[f190])).
% 0.18/0.35 thf(f198,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X5 : $i] : ((lBill_THFTYPE_i = X1) | ($true = (X0 @ X5 @ X3)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) ) | ~spl0_4),
% 0.18/0.35 inference(avatar_component_clause,[],[f197])).
% 0.18/0.35 thf(f230,plain,(
% 0.18/0.35 spl0_1 | spl0_5 | ~spl0_2 | ~spl0_4),
% 0.18/0.35 inference(avatar_split_clause,[],[f225,f197,f190,f228,f187])).
% 0.18/0.35 thf(f225,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : ((X3 = X5) | (lAnna_THFTYPE_i != X1)) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f224])).
% 0.18/0.35 thf(f224,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (($true = (X3 = X5)) | (lAnna_THFTYPE_i != X1)) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f223])).
% 0.18/0.35 thf(f223,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (((lAnna_THFTYPE_i = X1) != $true) | ($true = (X3 = X5))) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(beta_eta_normalization,[],[f203])).
% 0.18/0.35 thf(f203,plain,(
% 0.18/0.35 ( ! [X3 : $i,X1 : $i,X5 : $i] : (($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X1 @ lAnna_THFTYPE_i)) | ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X5 @ X3))) ) | (~spl0_2 | ~spl0_4)),
% 0.18/0.35 inference(primitive_instantiation,[],[f202])).
% 0.18/0.35 thf(f201,plain,(
% 0.18/0.35 ~spl0_3),
% 0.18/0.35 inference(avatar_contradiction_clause,[],[f200])).
% 0.18/0.35 thf(f200,plain,(
% 0.18/0.35 $false | ~spl0_3),
% 0.18/0.35 inference(flex-flex_simplify,[],[f195])).
% 0.18/0.35 thf(f195,plain,(
% 0.18/0.35 ( ! [X6 : $i,X4 : $i] : ((X4 != X6)) ) | ~spl0_3),
% 0.18/0.35 inference(avatar_component_clause,[],[f194])).
% 0.18/0.35 thf(f199,plain,(
% 0.18/0.35 spl0_3 | spl0_4),
% 0.18/0.35 inference(avatar_split_clause,[],[f176,f197,f194])).
% 0.18/0.35 thf(f176,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((X4 != X6) | ($true = (X0 @ X5 @ X3)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | (lBill_THFTYPE_i = X1)) )),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f175])).
% 0.18/0.35 thf(f175,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($false = (X6 = X4)) | (lBill_THFTYPE_i = X1) | ($true = (X0 @ X5 @ X3))) )),
% 0.18/0.35 inference(not_proxy_clausification,[],[f174])).
% 0.18/0.35 thf(f174,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (X0 @ X5 @ X3)) | (lBill_THFTYPE_i = X1) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ((~ (X6 = X4)) = $true)) )),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f173])).
% 0.18/0.35 thf(f173,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (X0 @ X5 @ X3)) | ($true = (lBill_THFTYPE_i = X1)) | ((~ (X6 = X4)) = $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(not_proxy_clausification,[],[f172])).
% 0.18/0.35 thf(f172,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true = (X0 @ X5 @ X3)) | ((~ (lBill_THFTYPE_i = X1)) != $true) | ((~ (X6 = X4)) = $true)) )),
% 0.18/0.35 inference(beta_eta_normalization,[],[f161])).
% 0.18/0.35 thf(f161,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X1 @ lBill_THFTYPE_i)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X4 @ X6) = $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true = (X0 @ X5 @ X3))) )),
% 0.18/0.35 inference(primitive_instantiation,[],[f159])).
% 0.18/0.35 thf(f159,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (X2 @ X4 @ X6)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true = (X0 @ X5 @ X3)) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(pi_clausification,[],[f158])).
% 0.18/0.35 thf(f158,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i,X5 : $i] : (((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true = (!! @ $i @ (X2 @ X4))) | ($true = (X0 @ X5 @ X3))) )),
% 0.18/0.35 inference(beta_eta_normalization,[],[f157])).
% 0.18/0.35 thf(f157,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: (X0 @ Y0 @ X3)) @ X5)) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true = (!! @ $i @ (X2 @ X4))) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(pi_clausification,[],[f156])).
% 0.18/0.35 thf(f156,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ X3))) = $true) | ($true = (!! @ $i @ (X2 @ X4))) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(beta_eta_normalization,[],[f155])).
% 0.18/0.35 thf(f155,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true = ((^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))) @ X4)) | ((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ X3))) = $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(pi_clausification,[],[f154])).
% 0.18/0.35 thf(f154,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ X3))) = $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(not_proxy_clausification,[],[f153])).
% 0.18/0.35 thf(f153,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ X3))) = $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(beta_eta_normalization,[],[f152])).
% 0.18/0.35 thf(f152,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X1 @ lBill_THFTYPE_i) != $true) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))) @ X3) = $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(pi_clausification,[],[f151])).
% 0.18/0.35 thf(f151,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))) = $true) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(not_proxy_clausification,[],[f150])).
% 0.18/0.35 thf(f150,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))))) )),
% 0.18/0.35 inference(beta_eta_normalization,[],[f143])).
% 0.18/0.35 thf(f143,plain,(
% 0.18/0.35 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) != $true) | ((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(cnf_transformation,[],[f138])).
% 0.18/0.35 thf(f138,plain,(
% 0.18/0.35 ! [X0 : $i > $i > $o,X1,X2 : $i > $i > $o] : (((X2 @ X1 @ lBill_THFTYPE_i) != $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) != $true) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true))),
% 0.18/0.35 inference(ennf_transformation,[],[f65])).
% 0.18/0.35 thf(f65,plain,(
% 0.18/0.35 ~? [X0 : $i > $i > $o,X1,X2 : $i > $i > $o] : (((X2 @ X1 @ lBill_THFTYPE_i) = $true) & ((X0 @ X1 @ lAnna_THFTYPE_i) = $true) & ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) = $true) & ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))))),
% 0.18/0.35 inference(fool_elimination,[],[f64])).
% 0.18/0.35 thf(f64,plain,(
% 0.18/0.35 ~? [X0 : $i > $i > $o,X1,X2 : $i > $i > $o] : ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ ! [X3,X4] : (X0 @ X3 @ X4)) & (X2 @ X1 @ lBill_THFTYPE_i) & (~ ! [X5,X6] : (X2 @ X6 @ X5)))),
% 0.18/0.35 inference(rectify,[],[f46])).
% 0.18/0.35 thf(f46,negated_conjecture,(
% 0.18/0.35 ~? [X21 : $i > $i > $o,X1,X22 : $i > $i > $o] : ((X21 @ X1 @ lAnna_THFTYPE_i) & (~ ! [X23,X24] : (X21 @ X23 @ X24)) & (X22 @ X1 @ lBill_THFTYPE_i) & (~ ! [X24,X23] : (X22 @ X23 @ X24)))),
% 0.18/0.35 inference(negated_conjecture,[],[f45])).
% 0.18/0.35 thf(f45,conjecture,(
% 0.18/0.35 ? [X21 : $i > $i > $o,X1,X22 : $i > $i > $o] : ((X21 @ X1 @ lAnna_THFTYPE_i) & (~ ! [X23,X24] : (X21 @ X23 @ X24)) & (X22 @ X1 @ lBill_THFTYPE_i) & (~ ! [X24,X23] : (X22 @ X23 @ X24)))),
% 0.18/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.18/0.35 thf(f192,plain,(
% 0.18/0.35 spl0_1 | spl0_2),
% 0.18/0.35 inference(avatar_split_clause,[],[f181,f190,f187])).
% 0.18/0.35 thf(f181,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((lBill_THFTYPE_i != X1) | (X4 = X6) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true = (X0 @ X5 @ X3))) )),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f180])).
% 0.18/0.35 thf(f180,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (X0 @ X5 @ X3)) | ($true != (lBill_THFTYPE_i = X1)) | (X4 = X6) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true)) )),
% 0.18/0.35 inference(equality_proxy_clausification,[],[f179])).
% 0.18/0.35 thf(f179,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (X6 = X4)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true != (lBill_THFTYPE_i = X1)) | ($true = (X0 @ X5 @ X3))) )),
% 0.18/0.35 inference(beta_eta_normalization,[],[f160])).
% 0.18/0.35 thf(f160,plain,(
% 0.18/0.35 ( ! [X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X4 @ X6)) | ($true = (X0 @ X5 @ X3)) | ((X0 @ X1 @ lAnna_THFTYPE_i) != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X1 @ lBill_THFTYPE_i))) )),
% 0.18/0.35 inference(primitive_instantiation,[],[f159])).
% 0.18/0.35 % SZS output end Proof for theBenchmark
% 0.18/0.35 % (13261)------------------------------
% 0.18/0.35 % (13261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (13261)Termination reason: Refutation
% 0.18/0.35
% 0.18/0.35 % (13261)Memory used [KB]: 5628
% 0.18/0.35 % (13261)Time elapsed: 0.007 s
% 0.18/0.35 % (13261)Instructions burned: 12 (million)
% 0.18/0.35 % (13261)------------------------------
% 0.18/0.35 % (13261)------------------------------
% 0.18/0.35 % (13255)Success in time 0.009 s
% 0.18/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------