TSTP Solution File: ITP020^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP020^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : n022.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 22:31:54 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP020^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.10/0.14 % 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
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 18:11:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.15/0.38 % (22670)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (22673)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)
% 0.15/0.38 % (22672)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)
% 0.15/0.38 % (22674)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (22677)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (22676)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)
% 0.15/0.38 % (22675)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)
% 0.15/0.38 % (22678)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.38 % (22674)Instruction limit reached!
% 0.15/0.38 % (22674)------------------------------
% 0.15/0.38 % (22674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (22674)Termination reason: Unknown
% 0.15/0.38 % (22674)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (22675)Instruction limit reached!
% 0.15/0.38 % (22675)------------------------------
% 0.15/0.38 % (22675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (22675)Termination reason: Unknown
% 0.15/0.38 % (22675)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (22675)Memory used [KB]: 1151
% 0.15/0.38 % (22675)Time elapsed: 0.003 s
% 0.15/0.38 % (22675)Instructions burned: 3 (million)
% 0.15/0.38 % (22675)------------------------------
% 0.15/0.38 % (22675)------------------------------
% 0.15/0.38 % (22674)Memory used [KB]: 1151
% 0.15/0.38 % (22674)Time elapsed: 0.004 s
% 0.15/0.38 % (22674)Instructions burned: 3 (million)
% 0.15/0.38 % (22674)------------------------------
% 0.15/0.38 % (22674)------------------------------
% 0.15/0.38 % (22678)Instruction limit reached!
% 0.15/0.38 % (22678)------------------------------
% 0.15/0.38 % (22678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (22678)Termination reason: Unknown
% 0.15/0.38 % (22678)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (22678)Memory used [KB]: 1151
% 0.15/0.38 % (22678)Time elapsed: 0.004 s
% 0.15/0.38 % (22678)Instructions burned: 3 (million)
% 0.15/0.38 % (22678)------------------------------
% 0.15/0.38 % (22678)------------------------------
% 0.15/0.39 % (22672)Instruction limit reached!
% 0.15/0.39 % (22672)------------------------------
% 0.15/0.39 % (22672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (22672)Termination reason: Unknown
% 0.15/0.39 % (22672)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (22672)Memory used [KB]: 1151
% 0.15/0.39 % (22672)Time elapsed: 0.004 s
% 0.15/0.39 % (22672)Instructions burned: 5 (million)
% 0.15/0.39 % (22672)------------------------------
% 0.15/0.39 % (22672)------------------------------
% 0.15/0.39 % (22677)Instruction limit reached!
% 0.15/0.39 % (22677)------------------------------
% 0.15/0.39 % (22677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (22677)Termination reason: Unknown
% 0.15/0.39 % (22677)Termination phase: Preprocessing 3
% 0.15/0.39
% 0.15/0.39 % (22677)Memory used [KB]: 1407
% 0.15/0.39 % (22677)Time elapsed: 0.013 s
% 0.15/0.39 % (22677)Instructions burned: 18 (million)
% 0.15/0.39 % (22677)------------------------------
% 0.15/0.39 % (22677)------------------------------
% 0.15/0.40 % (22673)Instruction limit reached!
% 0.15/0.40 % (22673)------------------------------
% 0.15/0.40 % (22673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22673)Termination reason: Unknown
% 0.15/0.40 % (22673)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (22673)Memory used [KB]: 1407
% 0.15/0.40 % (22673)Time elapsed: 0.017 s
% 0.15/0.40 % (22673)Instructions burned: 28 (million)
% 0.15/0.40 % (22673)------------------------------
% 0.15/0.40 % (22673)------------------------------
% 0.15/0.40 % (22686)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.40 % (22687)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.40 % (22688)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (22689)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.40 % (22688)Instruction limit reached!
% 0.15/0.40 % (22688)------------------------------
% 0.15/0.40 % (22688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22688)Termination reason: Unknown
% 0.15/0.40 % (22688)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (22688)Memory used [KB]: 1151
% 0.15/0.40 % (22688)Time elapsed: 0.004 s
% 0.15/0.40 % (22688)Instructions burned: 3 (million)
% 0.15/0.40 % (22688)------------------------------
% 0.15/0.40 % (22688)------------------------------
% 0.22/0.41 % (22687)Instruction limit reached!
% 0.22/0.41 % (22687)------------------------------
% 0.22/0.41 % (22687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22687)Termination reason: Unknown
% 0.22/0.41 % (22687)Termination phase: Preprocessing 3
% 0.22/0.41
% 0.22/0.41 % (22687)Memory used [KB]: 1407
% 0.22/0.41 % (22687)Time elapsed: 0.011 s
% 0.22/0.41 % (22687)Instructions burned: 15 (million)
% 0.22/0.41 % (22687)------------------------------
% 0.22/0.41 % (22687)------------------------------
% 0.22/0.41 % (22692)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (22693)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41 % (22692)Instruction limit reached!
% 0.22/0.41 % (22692)------------------------------
% 0.22/0.41 % (22692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22692)Termination reason: Unknown
% 0.22/0.41 % (22692)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (22692)Memory used [KB]: 1151
% 0.22/0.41 % (22692)Time elapsed: 0.007 s
% 0.22/0.41 % (22692)Instructions burned: 8 (million)
% 0.22/0.41 % (22692)------------------------------
% 0.22/0.41 % (22692)------------------------------
% 0.22/0.42 % (22694)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (22686)Instruction limit reached!
% 0.22/0.42 % (22686)------------------------------
% 0.22/0.42 % (22686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22686)Termination reason: Unknown
% 0.22/0.42 % (22686)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (22686)Memory used [KB]: 5884
% 0.22/0.42 % (22686)Time elapsed: 0.020 s
% 0.22/0.42 % (22686)Instructions burned: 37 (million)
% 0.22/0.42 % (22686)------------------------------
% 0.22/0.42 % (22686)------------------------------
% 0.22/0.42 % (22694)Instruction limit reached!
% 0.22/0.42 % (22694)------------------------------
% 0.22/0.42 % (22694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22694)Termination reason: Unknown
% 0.22/0.42 % (22694)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22694)Memory used [KB]: 1151
% 0.22/0.42 % (22694)Time elapsed: 0.004 s
% 0.22/0.42 % (22694)Instructions burned: 3 (million)
% 0.22/0.42 % (22694)------------------------------
% 0.22/0.42 % (22694)------------------------------
% 0.22/0.42 % (22676)First to succeed.
% 0.22/0.42 % (22693)Instruction limit reached!
% 0.22/0.42 % (22693)------------------------------
% 0.22/0.42 % (22693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22693)Termination reason: Unknown
% 0.22/0.42 % (22693)Termination phase: Preprocessing 3
% 0.22/0.42
% 0.22/0.42 % (22693)Memory used [KB]: 1407
% 0.22/0.42 % (22693)Time elapsed: 0.012 s
% 0.22/0.42 % (22693)Instructions burned: 17 (million)
% 0.22/0.42 % (22693)------------------------------
% 0.22/0.42 % (22693)------------------------------
% 0.22/0.42 % (22695)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (22695)Instruction limit reached!
% 0.22/0.43 % (22695)------------------------------
% 0.22/0.43 % (22695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22695)Termination reason: Unknown
% 0.22/0.43 % (22695)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22695)Memory used [KB]: 1151
% 0.22/0.43 % (22695)Time elapsed: 0.004 s
% 0.22/0.43 % (22695)Instructions burned: 3 (million)
% 0.22/0.43 % (22695)------------------------------
% 0.22/0.43 % (22695)------------------------------
% 0.22/0.43 % (22676)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% 0.22/0.43 thf(type_def_5, type, del: $tType).
% 0.22/0.43 thf(type_def_7, type, tp__ty_2Enum_2Enum: $tType).
% 0.22/0.43 thf(type_def_8, type, tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType).
% 0.22/0.43 thf(func_def_0, type, del: $tType).
% 0.22/0.43 thf(func_def_1, type, bool: del).
% 0.22/0.43 thf(func_def_2, type, ind: del).
% 0.22/0.43 thf(func_def_3, type, arr: del > del > del).
% 0.22/0.43 thf(func_def_4, type, mem: $i > del > $o).
% 0.22/0.43 thf(func_def_5, type, ap: $i > $i > $i).
% 0.22/0.43 thf(func_def_6, type, lam: del > ($i > $i) > $i).
% 0.22/0.43 thf(func_def_7, type, p: $i > $o).
% 0.22/0.43 thf(func_def_8, type, inj__o: $o > $i).
% 0.22/0.43 thf(func_def_16, type, c_2Emin_2E_3D: del > $i).
% 0.22/0.43 thf(func_def_17, type, c_2Ebool_2E_21: del > $i).
% 0.22/0.43 thf(func_def_18, type, c_2Epred__set_2EUNIV: del > $i).
% 0.22/0.43 thf(func_def_19, type, ty_2Epair_2Eprod: del > del > del).
% 0.22/0.43 thf(func_def_20, type, c_2Epred__set_2ECROSS: del > del > $i).
% 0.22/0.43 thf(func_def_21, type, c_2Epred__set_2EBIJ: del > del > $i).
% 0.22/0.43 thf(func_def_22, type, ty_2Enum_2Enum: del).
% 0.22/0.43 thf(func_def_23, type, tp__ty_2Enum_2Enum: $tType).
% 0.22/0.43 thf(func_def_24, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i).
% 0.22/0.43 thf(func_def_25, type, surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum).
% 0.22/0.43 thf(func_def_26, type, tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType).
% 0.22/0.43 thf(func_def_27, type, inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > $i).
% 0.22/0.43 thf(func_def_28, type, surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum).
% 0.22/0.43 thf(func_def_29, type, c_2Ebool_2E_3F: del > $i).
% 0.22/0.43 thf(func_def_32, type, sP0: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_33, type, sP1: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_34, type, sP2: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_35, type, sP3: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_36, type, sP4: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_37, type, sP5: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_38, type, sP6: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_39, type, sP7: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_40, type, sP8: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_41, type, sP9: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_42, type, sP10: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_43, type, sP11: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_44, type, sP12: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_45, type, sP13: $i > $i > $i > $o).
% 0.22/0.43 thf(func_def_46, type, sP14: $i > $i > $o).
% 0.22/0.43 thf(func_def_47, type, sP15: $i > $i > $o).
% 0.22/0.43 thf(func_def_48, type, sK16: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_49, type, sK17: $i > del > $i).
% 0.22/0.43 thf(func_def_50, type, sK18: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_52, type, sK20: $i > del > $i).
% 0.22/0.43 thf(func_def_53, type, sK21: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_54, type, sK22: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_55, type, sK23: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_56, type, sK24: del > del > $i > $i).
% 0.22/0.43 thf(func_def_57, type, sK25: del > del > $i > $i).
% 0.22/0.43 thf(func_def_58, type, sK26: $i > del > $i).
% 0.22/0.43 thf(func_def_59, type, sK27: $i > $i > del > $i).
% 0.22/0.43 thf(func_def_60, type, sK28: del > $i > $i).
% 0.22/0.43 thf(func_def_61, type, sK29: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_62, type, sK30: $i > del > $i).
% 0.22/0.43 thf(func_def_63, type, sK31: $i > $i > del > $i).
% 0.22/0.43 thf(func_def_64, type, sK32: $i > $i > del > del > $i).
% 0.22/0.43 thf(func_def_65, type, sK33: $i > $i > del > del > $i).
% 0.22/0.43 thf(func_def_66, type, sK34: $i > del > $i > $i).
% 0.22/0.43 thf(func_def_67, type, sK35: $i > del > $i).
% 0.22/0.43 thf(func_def_68, type, sK36: $i > del > $i).
% 0.22/0.43 thf(func_def_69, type, sK37: $i > $i > del > $i).
% 0.22/0.43 thf(func_def_70, type, sK38: $i > del > $i).
% 0.22/0.43 thf(func_def_71, type, sK39: $i > del > $i).
% 0.22/0.43 thf(func_def_72, type, sK40: $i > $i > del > $i).
% 0.22/0.43 thf(func_def_73, type, sK41: $i > del > $i).
% 0.22/0.43 thf(f668,plain,(
% 0.22/0.43 $false),
% 0.22/0.43 inference(avatar_sat_refutation,[],[f637,f652,f657,f667])).
% 0.22/0.43 thf(f667,plain,(
% 0.22/0.43 ~spl42_3),
% 0.22/0.43 inference(avatar_contradiction_clause,[],[f666])).
% 0.22/0.43 thf(f666,plain,(
% 0.22/0.43 $false | ~spl42_3),
% 0.22/0.43 inference(subsumption_resolution,[],[f665,f459])).
% 0.22/0.43 thf(f459,plain,(
% 0.22/0.43 ((mem @ sK19 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f308])).
% 0.22/0.43 thf(f308,plain,(
% 0.22/0.43 ((mem @ sK19 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) = $true) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ sK19) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))),
% 0.22/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f180,f307])).
% 0.22/0.43 thf(f307,plain,(
% 0.22/0.43 ? [X0] : (($true = (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) => (((mem @ sK19 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) = $true) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ sK19) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))))),
% 0.22/0.43 introduced(choice_axiom,[])).
% 0.22/0.43 thf(f180,plain,(
% 0.22/0.43 ? [X0] : (($true = (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))))),
% 0.22/0.43 inference(fool_elimination,[],[f179])).
% 0.22/0.43 thf(f179,plain,(
% 0.22/0.43 ? [X0] : ((mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) & (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))),
% 0.22/0.43 inference(rectify,[],[f65])).
% 0.22/0.43 thf(f65,axiom,(
% 0.22/0.43 ? [X34] : ((mem @ X34 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) & (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X34) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 0.22/0.43 thf(f665,plain,(
% 0.22/0.43 ((mem @ sK19 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) != $true) | ~spl42_3),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f660])).
% 0.22/0.43 thf(f660,plain,(
% 0.22/0.43 ((mem @ sK19 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) != $true) | ($true != $true) | ~spl42_3),
% 0.22/0.43 inference(superposition,[],[f636,f458])).
% 0.22/0.43 thf(f458,plain,(
% 0.22/0.43 ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ sK19) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))),
% 0.22/0.43 inference(cnf_transformation,[],[f308])).
% 0.22/0.43 thf(f636,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) ) | ~spl42_3),
% 0.22/0.43 inference(avatar_component_clause,[],[f635])).
% 0.22/0.43 thf(f635,plain,(
% 0.22/0.43 spl42_3 <=> ! [X0] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl42_3])])).
% 0.22/0.43 thf(f657,plain,(
% 0.22/0.43 spl42_3 | spl42_1 | ~spl42_2),
% 0.22/0.43 inference(avatar_split_clause,[],[f656,f631,f627,f635])).
% 0.22/0.43 thf(f627,plain,(
% 0.22/0.43 spl42_1 <=> ($true = (mem @ (sK33 @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl42_1])])).
% 0.22/0.43 thf(f631,plain,(
% 0.22/0.43 spl42_2 <=> ($true = (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))),
% 0.22/0.43 introduced(avatar_definition,[new_symbols(naming,[spl42_2])])).
% 0.22/0.43 thf(f656,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) ) | (spl42_1 | ~spl42_2)),
% 0.22/0.43 inference(subsumption_resolution,[],[f655,f479])).
% 0.22/0.43 thf(f479,plain,(
% 0.22/0.43 ( ! [X0 : del] : (($true = (mem @ (c_2Epred__set_2EUNIV @ X0) @ (arr @ X0 @ bool)))) )),
% 0.22/0.43 inference(cnf_transformation,[],[f172])).
% 0.22/0.43 thf(f172,plain,(
% 0.22/0.43 ! [X0 : del] : ($true = (mem @ (c_2Epred__set_2EUNIV @ X0) @ (arr @ X0 @ bool)))),
% 0.22/0.43 inference(fool_elimination,[],[f171])).
% 0.22/0.43 thf(f171,plain,(
% 0.22/0.43 ! [X0 : del] : (mem @ (c_2Epred__set_2EUNIV @ X0) @ (arr @ X0 @ bool))),
% 0.22/0.43 inference(rectify,[],[f24])).
% 0.22/0.43 thf(f24,axiom,(
% 0.22/0.43 ! [X7 : del] : (mem @ (c_2Epred__set_2EUNIV @ X7) @ (arr @ X7 @ bool))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EUNIV)).
% 0.22/0.43 thf(f655,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool)))) ) | (spl42_1 | ~spl42_2)),
% 0.22/0.43 inference(subsumption_resolution,[],[f654,f632])).
% 0.22/0.43 thf(f632,plain,(
% 0.22/0.43 ($true = (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | ~spl42_2),
% 0.22/0.43 inference(avatar_component_clause,[],[f631])).
% 0.22/0.43 thf(f654,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool)))) ) | spl42_1),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f653])).
% 0.22/0.43 thf(f653,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | ($true != (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != $true)) ) | spl42_1),
% 0.22/0.43 inference(superposition,[],[f629,f528])).
% 0.22/0.43 thf(f528,plain,(
% 0.22/0.43 ( ! [X2 : $i,X3 : $i,X0 : del,X1 : del,X7 : $i] : (($true = (mem @ (sK33 @ X3 @ X2 @ X1 @ X0) @ (arr @ X1 @ X0))) | ($true != (mem @ X7 @ (arr @ X0 @ X1))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X7) @ X2) @ X3))) | ($true != (mem @ X2 @ (arr @ X0 @ bool))) | ($true != (mem @ X3 @ (arr @ X1 @ bool)))) )),
% 0.22/0.43 inference(cnf_transformation,[],[f359])).
% 0.22/0.43 thf(f359,plain,(
% 0.22/0.43 ! [X0 : del,X1 : del,X2] : (! [X3] : (($true != (mem @ X3 @ (arr @ X1 @ bool))) | (((($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ (sK32 @ X3 @ X2 @ X1 @ X0)) @ X2) @ X3))) & ($true = (mem @ (sK32 @ X3 @ X2 @ X1 @ X0) @ (arr @ X0 @ X1)))) | ! [X5] : (((mem @ X5 @ (arr @ X1 @ X0)) != $true) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X5) @ X3) @ X2))))) & ((($true = (mem @ (sK33 @ X3 @ X2 @ X1 @ X0) @ (arr @ X1 @ X0))) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ (sK33 @ X3 @ X2 @ X1 @ X0)) @ X3) @ X2)) = $true)) | ! [X7] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X7) @ X2) @ X3))) | ($true != (mem @ X7 @ (arr @ X0 @ X1))))))) | ($true != (mem @ X2 @ (arr @ X0 @ bool))))),
% 0.22/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f356,f358,f357])).
% 0.22/0.43 thf(f357,plain,(
% 0.22/0.43 ! [X0 : del,X1 : del,X2,X3] : (? [X4] : (((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X4) @ X2) @ X3)) = $true) & ($true = (mem @ X4 @ (arr @ X0 @ X1)))) => (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ (sK32 @ X3 @ X2 @ X1 @ X0)) @ X2) @ X3))) & ($true = (mem @ (sK32 @ X3 @ X2 @ X1 @ X0) @ (arr @ X0 @ X1)))))),
% 0.22/0.43 introduced(choice_axiom,[])).
% 0.22/0.43 thf(f358,plain,(
% 0.22/0.43 ! [X0 : del,X1 : del,X2,X3] : (? [X6] : (($true = (mem @ X6 @ (arr @ X1 @ X0))) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X6) @ X3) @ X2)) = $true)) => (($true = (mem @ (sK33 @ X3 @ X2 @ X1 @ X0) @ (arr @ X1 @ X0))) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ (sK33 @ X3 @ X2 @ X1 @ X0)) @ X3) @ X2)) = $true)))),
% 0.22/0.43 introduced(choice_axiom,[])).
% 0.22/0.43 thf(f356,plain,(
% 0.22/0.43 ! [X0 : del,X1 : del,X2] : (! [X3] : (($true != (mem @ X3 @ (arr @ X1 @ bool))) | ((? [X4] : (((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X4) @ X2) @ X3)) = $true) & ($true = (mem @ X4 @ (arr @ X0 @ X1)))) | ! [X5] : (((mem @ X5 @ (arr @ X1 @ X0)) != $true) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X5) @ X3) @ X2))))) & (? [X6] : (($true = (mem @ X6 @ (arr @ X1 @ X0))) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X6) @ X3) @ X2)) = $true)) | ! [X7] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X7) @ X2) @ X3))) | ($true != (mem @ X7 @ (arr @ X0 @ X1))))))) | ($true != (mem @ X2 @ (arr @ X0 @ bool))))),
% 0.22/0.43 inference(rectify,[],[f355])).
% 0.22/0.43 thf(f355,plain,(
% 0.22/0.43 ! [X2 : del,X1 : del,X0] : (! [X3] : (($true != (mem @ X3 @ (arr @ X1 @ bool))) | ((? [X5] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X5) @ X0) @ X3))) & ($true = (mem @ X5 @ (arr @ X2 @ X1)))) | ! [X4] : (((mem @ X4 @ (arr @ X1 @ X2)) != $true) | ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X4) @ X3) @ X0)) != $true))) & (? [X4] : (((mem @ X4 @ (arr @ X1 @ X2)) = $true) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X4) @ X3) @ X0)) = $true)) | ! [X5] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X5) @ X0) @ X3))) | ($true != (mem @ X5 @ (arr @ X2 @ X1))))))) | ($true != (mem @ X0 @ (arr @ X2 @ bool))))),
% 0.22/0.43 inference(nnf_transformation,[],[f256])).
% 0.22/0.43 thf(f256,plain,(
% 0.22/0.43 ! [X2 : del,X1 : del,X0] : (! [X3] : (($true != (mem @ X3 @ (arr @ X1 @ bool))) | (? [X5] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X5) @ X0) @ X3))) & ($true = (mem @ X5 @ (arr @ X2 @ X1)))) <=> ? [X4] : (((mem @ X4 @ (arr @ X1 @ X2)) = $true) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X4) @ X3) @ X0)) = $true)))) | ($true != (mem @ X0 @ (arr @ X2 @ bool))))),
% 0.22/0.43 inference(ennf_transformation,[],[f96])).
% 0.22/0.43 thf(f96,plain,(
% 0.22/0.43 ! [X2 : del,X1 : del,X0] : (($true = (mem @ X0 @ (arr @ X2 @ bool))) => ! [X3] : (($true = (mem @ X3 @ (arr @ X1 @ bool))) => (? [X5] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X5) @ X0) @ X3))) & ($true = (mem @ X5 @ (arr @ X2 @ X1)))) <=> ? [X4] : (((mem @ X4 @ (arr @ X1 @ X2)) = $true) & ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X4) @ X3) @ X0)) = $true)))))),
% 0.22/0.43 inference(fool_elimination,[],[f95])).
% 0.22/0.43 thf(f95,plain,(
% 0.22/0.43 ! [X0,X1 : del,X2 : del] : ((mem @ X0 @ (arr @ X2 @ bool)) => ! [X3] : ((mem @ X3 @ (arr @ X1 @ bool)) => (? [X4] : ((mem @ X4 @ (arr @ X1 @ X2)) & (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X4) @ X3) @ X0))) <=> ? [X5] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X5) @ X0) @ X3)) & (mem @ X5 @ (arr @ X2 @ X1))))))),
% 0.22/0.43 inference(rectify,[],[f54])).
% 0.22/0.43 thf(f54,axiom,(
% 0.22/0.43 ! [X27,X9 : del,X7 : del] : ((mem @ X27 @ (arr @ X7 @ bool)) => ! [X28] : ((mem @ X28 @ (arr @ X9 @ bool)) => (? [X30] : ((mem @ X30 @ (arr @ X9 @ X7)) & (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X9 @ X7) @ X30) @ X28) @ X27))) <=> ? [X29] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X7 @ X9) @ X29) @ X27) @ X28)) & (mem @ X29 @ (arr @ X7 @ X9))))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EBIJ__SYM)).
% 0.22/0.43 thf(f629,plain,(
% 0.22/0.43 ($true != (mem @ (sK33 @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))) | spl42_1),
% 0.22/0.43 inference(avatar_component_clause,[],[f627])).
% 0.22/0.43 thf(f652,plain,(
% 0.22/0.43 spl42_2),
% 0.22/0.43 inference(avatar_contradiction_clause,[],[f651])).
% 0.22/0.43 thf(f651,plain,(
% 0.22/0.43 $false | spl42_2),
% 0.22/0.43 inference(subsumption_resolution,[],[f650,f479])).
% 0.22/0.43 thf(f650,plain,(
% 0.22/0.43 ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | spl42_2),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f649])).
% 0.22/0.43 thf(f649,plain,(
% 0.22/0.43 ($true != $true) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | spl42_2),
% 0.22/0.43 inference(duplicate_literal_removal,[],[f648])).
% 0.22/0.43 thf(f648,plain,(
% 0.22/0.43 ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | ($true != $true) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | spl42_2),
% 0.22/0.43 inference(superposition,[],[f647,f531])).
% 0.22/0.43 thf(f531,plain,(
% 0.22/0.43 ( ! [X0 : del,X1 : del] : (((mem @ (c_2Epred__set_2ECROSS @ X1 @ X0) @ (arr @ (arr @ X1 @ bool) @ (arr @ (arr @ X0 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X1 @ X0) @ bool)))) = $true)) )),
% 0.22/0.43 inference(cnf_transformation,[],[f360])).
% 0.22/0.43 thf(f360,plain,(
% 0.22/0.43 ! [X0 : del,X1 : del] : ((mem @ (c_2Epred__set_2ECROSS @ X1 @ X0) @ (arr @ (arr @ X1 @ bool) @ (arr @ (arr @ X0 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X1 @ X0) @ bool)))) = $true)),
% 0.22/0.43 inference(rectify,[],[f108])).
% 0.22/0.43 thf(f108,plain,(
% 0.22/0.43 ! [X1 : del,X0 : del] : ((mem @ (c_2Epred__set_2ECROSS @ X0 @ X1) @ (arr @ (arr @ X0 @ bool) @ (arr @ (arr @ X1 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X0 @ X1) @ bool)))) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f107])).
% 0.22/0.43 thf(f107,plain,(
% 0.22/0.43 ! [X0 : del,X1 : del] : (mem @ (c_2Epred__set_2ECROSS @ X0 @ X1) @ (arr @ (arr @ X0 @ bool) @ (arr @ (arr @ X1 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X0 @ X1) @ bool))))),
% 0.22/0.43 inference(rectify,[],[f25])).
% 0.22/0.43 thf(f25,axiom,(
% 0.22/0.43 ! [X7 : del,X9 : del] : (mem @ (c_2Epred__set_2ECROSS @ X7 @ X9) @ (arr @ (arr @ X7 @ bool) @ (arr @ (arr @ X9 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X7 @ X9) @ bool))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECROSS)).
% 0.22/0.43 thf(f647,plain,(
% 0.22/0.43 ( ! [X0 : del,X1 : del] : (((mem @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (arr @ X1 @ (arr @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))) != $true) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0)) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X1))) ) | spl42_2),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f646])).
% 0.22/0.43 thf(f646,plain,(
% 0.22/0.43 ( ! [X0 : del,X1 : del] : (($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0)) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X1)) | ((mem @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (arr @ X1 @ (arr @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))) != $true) | ($true != $true)) ) | spl42_2),
% 0.22/0.43 inference(superposition,[],[f645,f460])).
% 0.22/0.43 thf(f460,plain,(
% 0.22/0.43 ( ! [X2 : del,X3 : $i,X0 : $i,X1 : del] : (($true = (mem @ (ap @ X0 @ X3) @ X2)) | ($true != (mem @ X3 @ X1)) | ($true != (mem @ X0 @ (arr @ X1 @ X2)))) )),
% 0.22/0.43 inference(cnf_transformation,[],[f242])).
% 0.22/0.43 thf(f242,plain,(
% 0.22/0.43 ! [X0,X1 : del,X2 : del] : (! [X3] : (($true != (mem @ X3 @ X1)) | ($true = (mem @ (ap @ X0 @ X3) @ X2))) | ($true != (mem @ X0 @ (arr @ X1 @ X2))))),
% 0.22/0.43 inference(ennf_transformation,[],[f86])).
% 0.22/0.43 thf(f86,plain,(
% 0.22/0.43 ! [X2 : del,X1 : del,X0] : (($true = (mem @ X0 @ (arr @ X1 @ X2))) => ! [X3] : (($true = (mem @ X3 @ X1)) => ($true = (mem @ (ap @ X0 @ X3) @ X2))))),
% 0.22/0.43 inference(fool_elimination,[],[f85])).
% 0.22/0.43 thf(f85,plain,(
% 0.22/0.43 ! [X0,X1 : del,X2 : del] : ((mem @ X0 @ (arr @ X1 @ X2)) => ! [X3] : ((mem @ X3 @ X1) => (mem @ (ap @ X0 @ X3) @ X2)))),
% 0.22/0.43 inference(rectify,[],[f4])).
% 0.22/0.43 thf(f4,axiom,(
% 0.22/0.43 ! [X3,X1 : del,X2 : del] : ((mem @ X3 @ (arr @ X1 @ X2)) => ! [X0] : ((mem @ X0 @ X1) => (mem @ (ap @ X3 @ X0) @ X2)))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp)).
% 0.22/0.43 thf(f645,plain,(
% 0.22/0.43 ( ! [X0 : del] : (($true != (mem @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0))) ) | spl42_2),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f644])).
% 0.22/0.43 thf(f644,plain,(
% 0.22/0.43 ( ! [X0 : del] : (($true != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0))) ) | spl42_2),
% 0.22/0.43 inference(superposition,[],[f633,f460])).
% 0.22/0.43 thf(f633,plain,(
% 0.22/0.43 ($true != (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | spl42_2),
% 0.22/0.43 inference(avatar_component_clause,[],[f631])).
% 0.22/0.43 thf(f637,plain,(
% 0.22/0.43 ~spl42_1 | ~spl42_2 | spl42_3),
% 0.22/0.43 inference(avatar_split_clause,[],[f625,f635,f631,f627])).
% 0.22/0.43 thf(f625,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != (mem @ (sK33 @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))) )),
% 0.22/0.43 inference(subsumption_resolution,[],[f624,f479])).
% 0.22/0.43 thf(f624,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != (mem @ (sK33 @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool)))) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f622])).
% 0.22/0.43 thf(f622,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | ($true != (mem @ (sK33 @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != $true)) )),
% 0.22/0.43 inference(superposition,[],[f514,f527])).
% 0.22/0.43 thf(f527,plain,(
% 0.22/0.43 ( ! [X2 : $i,X3 : $i,X0 : del,X1 : del,X7 : $i] : (((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ (sK33 @ X3 @ X2 @ X1 @ X0)) @ X3) @ X2)) = $true) | ($true != (mem @ X3 @ (arr @ X1 @ bool))) | ($true != (mem @ X2 @ (arr @ X0 @ bool))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X7) @ X2) @ X3))) | ($true != (mem @ X7 @ (arr @ X0 @ X1)))) )),
% 0.22/0.43 inference(cnf_transformation,[],[f359])).
% 0.22/0.43 thf(f514,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X0) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) | ($true != (mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))) )),
% 0.22/0.43 inference(cnf_transformation,[],[f219])).
% 0.22/0.43 thf(f219,plain,(
% 0.22/0.43 ! [X0] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X0) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) | ($true != (mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))))),
% 0.22/0.43 inference(ennf_transformation,[],[f132])).
% 0.22/0.43 thf(f132,plain,(
% 0.22/0.43 ~? [X0] : (($true = (mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X0) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))))),
% 0.22/0.43 inference(fool_elimination,[],[f131])).
% 0.22/0.43 thf(f131,plain,(
% 0.22/0.43 ~? [X0] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X0) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & (mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))),
% 0.22/0.43 inference(rectify,[],[f67])).
% 0.22/0.43 thf(f67,negated_conjecture,(
% 0.22/0.43 ~? [X34] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X34) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & (mem @ X34 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))),
% 0.22/0.43 inference(negated_conjecture,[],[f66])).
% 0.22/0.43 thf(f66,conjecture,(
% 0.22/0.43 ? [X34] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X34) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & (mem @ X34 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 0.22/0.43 % SZS output end Proof for theBenchmark
% 0.22/0.43 % (22676)------------------------------
% 0.22/0.43 % (22676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22676)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (22676)Memory used [KB]: 6268
% 0.22/0.43 % (22676)Time elapsed: 0.044 s
% 0.22/0.43 % (22676)Instructions burned: 67 (million)
% 0.22/0.43 % (22676)------------------------------
% 0.22/0.43 % (22676)------------------------------
% 0.22/0.43 % (22665)Success in time 0.044 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------