0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d THM 0.10/0.31 % Computer : n008.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 08:12:34 EDT 2025 0.10/0.31 % CPUTime : 0.16/0.32 This is a THF_ problem 0.16/0.32 Running higher-order theorem proving 0.16/0.34 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p -m 16384 -t 240 0.16/0.36 % (21460)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 E---3.1_21352 for (2399ds/4Mi) 0.16/0.36 % (21459)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/183Mi) 0.16/0.36 % (21464)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/275Mi) 0.16/0.36 % (21461)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 E---3.1_21352 for (2399ds/27Mi) 0.16/0.36 % (21463)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/2Mi) 0.16/0.36 % (21465)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/18Mi) 0.16/0.36 % (21462)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/2Mi) 0.16/0.36 % (21463)Instruction limit reached! 0.16/0.36 % (21463)------------------------------ 0.16/0.36 % (21463)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (21463)Termination reason: Unknown 0.16/0.36 % (21463)Termination phase: shuffling 0.16/0.36 0.16/0.36 % (21463)Memory used [KB]: 1151 0.16/0.36 % (21463)Time elapsed: 0.003 s 0.16/0.36 % (21463)Instructions burned: 3 (million) 0.16/0.36 % (21463)------------------------------ 0.16/0.36 % (21463)------------------------------ 0.16/0.36 % (21460)Instruction limit reached! 0.16/0.36 % (21460)------------------------------ 0.16/0.36 % (21460)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (21460)Termination reason: Unknown 0.16/0.36 % (21460)Termination phase: shuffling 0.16/0.36 0.16/0.36 % (21460)Memory used [KB]: 1151 0.16/0.36 % (21460)Time elapsed: 0.004 s 0.16/0.36 % (21460)Instructions burned: 4 (million) 0.16/0.36 % (21460)------------------------------ 0.16/0.36 % (21460)------------------------------ 0.16/0.36 % (21462)Instruction limit reached! 0.16/0.36 % (21462)------------------------------ 0.16/0.36 % (21462)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (21462)Termination reason: Unknown 0.16/0.36 % (21462)Termination phase: shuffling 0.16/0.36 0.16/0.36 % (21462)Memory used [KB]: 1151 0.16/0.36 % (21462)Time elapsed: 0.003 s 0.16/0.36 % (21462)Instructions burned: 3 (million) 0.16/0.36 % (21462)------------------------------ 0.16/0.36 % (21462)------------------------------ 0.16/0.37 % (21465)Instruction limit reached! 0.16/0.37 % (21465)------------------------------ 0.16/0.37 % (21465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (21465)Termination reason: Unknown 0.16/0.37 % (21465)Termination phase: Property scanning 0.16/0.37 0.16/0.37 % (21465)Memory used [KB]: 1535 0.16/0.37 % (21465)Time elapsed: 0.011 s 0.16/0.37 % (21465)Instructions burned: 19 (million) 0.16/0.37 % (21465)------------------------------ 0.16/0.37 % (21465)------------------------------ 0.16/0.37 % (21461)Instruction limit reached! 0.16/0.37 % (21461)------------------------------ 0.16/0.37 % (21461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (21461)Termination reason: Unknown 0.16/0.37 % (21461)Termination phase: Property scanning 0.16/0.37 0.16/0.37 % (21461)Memory used [KB]: 1535 0.16/0.37 % (21461)Time elapsed: 0.015 s 0.16/0.37 % (21461)Instructions burned: 29 (million) 0.16/0.37 % (21461)------------------------------ 0.16/0.37 % (21461)------------------------------ 0.16/0.38 % (21466)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/3Mi) 0.16/0.38 % (21467)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 E---3.1_21352 for (2399ds/37Mi) 0.16/0.38 % (21468)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 E---3.1_21352 for (2399ds/15Mi) 0.16/0.38 % (21466)Instruction limit reached! 0.16/0.38 % (21466)------------------------------ 0.16/0.38 % (21466)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (21466)Termination reason: Unknown 0.16/0.38 % (21466)Termination phase: shuffling 0.16/0.38 0.16/0.38 % (21466)Memory used [KB]: 1151 0.16/0.38 % (21466)Time elapsed: 0.004 s 0.16/0.38 % (21466)Instructions burned: 4 (million) 0.16/0.38 % (21466)------------------------------ 0.16/0.38 % (21466)------------------------------ 0.16/0.39 % (21468)Instruction limit reached! 0.16/0.39 % (21468)------------------------------ 0.16/0.39 % (21468)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (21468)Termination reason: Unknown 0.16/0.39 % (21468)Termination phase: Preprocessing 3 0.16/0.39 0.16/0.39 % (21468)Memory used [KB]: 1407 0.16/0.39 % (21468)Time elapsed: 0.010 s 0.16/0.39 % (21468)Instructions burned: 16 (million) 0.16/0.39 % (21468)------------------------------ 0.16/0.39 % (21468)------------------------------ 0.16/0.39 % (21469)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/3Mi) 0.16/0.39 % (21470)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 E---3.1_21352 for (2399ds/1041Mi) 0.16/0.39 % (21469)Instruction limit reached! 0.16/0.39 % (21469)------------------------------ 0.16/0.39 % (21469)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (21469)Termination reason: Unknown 0.16/0.39 % (21469)Termination phase: shuffling 0.16/0.39 0.16/0.39 % (21469)Memory used [KB]: 1151 0.16/0.39 % (21469)Time elapsed: 0.004 s 0.16/0.39 % (21469)Instructions burned: 4 (million) 0.16/0.39 % (21469)------------------------------ 0.16/0.39 % (21469)------------------------------ 0.16/0.39 % (21471)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_21352 for (2399ds/7Mi) 0.16/0.39 % (21464)First to succeed. 0.16/0.39 % (21467)Instruction limit reached! 0.16/0.39 % (21467)------------------------------ 0.16/0.39 % (21467)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (21467)Termination reason: Unknown 0.16/0.39 % (21467)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (21467)Memory used [KB]: 6012 0.16/0.39 % (21467)Time elapsed: 0.018 s 0.16/0.39 % (21467)Instructions burned: 37 (million) 0.16/0.39 % (21467)------------------------------ 0.16/0.39 % (21467)------------------------------ 0.16/0.39 % (21471)Instruction limit reached! 0.16/0.39 % (21471)------------------------------ 0.16/0.39 % (21471)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (21471)Termination reason: Unknown 0.16/0.39 % (21471)Termination phase: Property scanning 0.16/0.39 0.16/0.39 % (21471)Memory used [KB]: 1151 0.16/0.39 % (21471)Time elapsed: 0.005 s 0.16/0.39 % (21471)Instructions burned: 7 (million) 0.16/0.39 % (21471)------------------------------ 0.16/0.39 % (21471)------------------------------ 0.16/0.40 % (21464)Refutation found. Thanks to Tanya! 0.16/0.40 % SZS status Theorem for E---3.1_21352 0.16/0.40 % SZS output start Proof for E---3.1_21352 0.16/0.40 thf(type_def_5, type, del: $tType). 0.16/0.40 thf(type_def_7, type, tp__ty_2Enum_2Enum: $tType). 0.16/0.40 thf(type_def_8, type, tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType). 0.16/0.40 thf(func_def_0, type, del: $tType). 0.16/0.40 thf(func_def_1, type, bool: del). 0.16/0.40 thf(func_def_2, type, ind: del). 0.16/0.40 thf(func_def_3, type, arr: del > del > del). 0.16/0.40 thf(func_def_4, type, mem: $i > del > $o). 0.16/0.40 thf(func_def_5, type, ap: $i > $i > $i). 0.16/0.40 thf(func_def_6, type, lam: del > ($i > $i) > $i). 0.16/0.40 thf(func_def_7, type, p: $i > $o). 0.16/0.40 thf(func_def_8, type, inj__o: $o > $i). 0.16/0.40 thf(func_def_16, type, c_2Emin_2E_3D: del > $i). 0.16/0.40 thf(func_def_17, type, c_2Ebool_2E_21: del > $i). 0.16/0.40 thf(func_def_18, type, c_2Epred__set_2EUNIV: del > $i). 0.16/0.40 thf(func_def_19, type, ty_2Epair_2Eprod: del > del > del). 0.16/0.40 thf(func_def_20, type, c_2Epred__set_2ECROSS: del > del > $i). 0.16/0.40 thf(func_def_21, type, c_2Epred__set_2EBIJ: del > del > $i). 0.16/0.40 thf(func_def_22, type, ty_2Enum_2Enum: del). 0.16/0.40 thf(func_def_23, type, tp__ty_2Enum_2Enum: $tType). 0.16/0.40 thf(func_def_24, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 0.16/0.40 thf(func_def_25, type, surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum). 0.16/0.40 thf(func_def_26, type, tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType). 0.16/0.40 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). 0.16/0.40 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). 0.16/0.40 thf(func_def_29, type, c_2Ebool_2E_3F: del > $i). 0.16/0.40 thf(func_def_32, type, sP0: $i > $i > $i > $o). 0.16/0.40 thf(func_def_33, type, sP1: $i > $i > $i > $o). 0.16/0.40 thf(func_def_34, type, sP2: $i > $i > $i > $o). 0.16/0.40 thf(func_def_35, type, sP3: $i > $i > $i > $o). 0.16/0.40 thf(func_def_36, type, sP4: $i > $i > $i > $o). 0.16/0.40 thf(func_def_37, type, sP5: $i > $i > $i > $o). 0.16/0.40 thf(func_def_38, type, sP6: $i > $i > $i > $o). 0.16/0.40 thf(func_def_39, type, sP7: $i > $i > $i > $o). 0.16/0.40 thf(func_def_40, type, sP8: $i > $i > $o). 0.16/0.40 thf(func_def_41, type, sP9: $i > $i > $o). 0.16/0.40 thf(func_def_42, type, sP10: $i > $i > $i > $o). 0.16/0.40 thf(func_def_43, type, sP11: $i > $i > $i > $o). 0.16/0.40 thf(func_def_44, type, sP12: $i > $i > $i > $o). 0.16/0.40 thf(func_def_45, type, sP13: $i > $i > $i > $o). 0.16/0.40 thf(func_def_46, type, sP14: $i > $i > $i > $o). 0.16/0.40 thf(func_def_47, type, sP15: $i > $i > $i > $o). 0.16/0.40 thf(func_def_48, type, sK16: del > $i > $i). 0.16/0.40 thf(func_def_49, type, sK17: $i > del > $i > $i). 0.16/0.40 thf(func_def_50, type, sK18: $i > $i > del > $i). 0.16/0.40 thf(func_def_51, type, sK19: $i > del > $i). 0.16/0.40 thf(func_def_52, type, sK20: $i > del > $i > $i). 0.16/0.40 thf(func_def_53, type, sK21: $i > del > $i). 0.16/0.40 thf(func_def_54, type, sK22: $i > del > $i). 0.16/0.40 thf(func_def_55, type, sK23: $i > $i > del > $i). 0.16/0.40 thf(func_def_56, type, sK24: $i > $i > del > $i). 0.16/0.40 thf(func_def_57, type, sK25: $i > del > $i). 0.16/0.40 thf(func_def_58, type, sK26: del > $i > $i). 0.16/0.40 thf(func_def_59, type, sK27: $i > del > $i > $i). 0.16/0.40 thf(func_def_60, type, sK28: $i > $i > del > $i). 0.16/0.40 thf(func_def_61, type, sK29: $i > del > $i > $i). 0.16/0.40 thf(func_def_62, type, sK30: $i > del > $i). 0.16/0.40 thf(func_def_63, type, sK31: $i > del > $i > $i). 0.16/0.40 thf(func_def_64, type, sK32: $i > del > $i > $i). 0.16/0.40 thf(func_def_65, type, sK33: del > del > $i > $i). 0.16/0.40 thf(func_def_66, type, sK34: del > del > $i > $i). 0.16/0.40 thf(func_def_67, type, sK35: del > $i > $i). 0.16/0.40 thf(func_def_68, type, sK36: del > $i > $i). 0.16/0.40 thf(func_def_70, type, sK38: $i > $i > del > del > $i). 0.16/0.40 thf(func_def_71, type, sK39: $i > $i > del > del > $i). 0.16/0.40 thf(func_def_72, type, sK40: $i > del > $i). 0.16/0.40 thf(func_def_73, type, sK41: $i > $i > del > $i). 0.16/0.40 thf(f671,plain,( 0.16/0.40 $false), 0.16/0.40 inference(avatar_sat_refutation,[],[f640,f655,f660,f670])). 0.16/0.40 thf(f670,plain,( 0.16/0.40 ~spl42_3), 0.16/0.40 inference(avatar_contradiction_clause,[],[f669])). 0.16/0.40 thf(f669,plain,( 0.16/0.40 $false | ~spl42_3), 0.16/0.40 inference(subsumption_resolution,[],[f667,f569])). 0.16/0.40 thf(f569,plain,( 0.16/0.40 ($true = (mem @ sK37 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))), 0.16/0.40 inference(cnf_transformation,[],[f381])). 0.16/0.40 thf(f381,plain,( 0.16/0.40 ($true = (mem @ sK37 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ sK37) @ (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))))), 0.16/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f70,f380])). 0.16/0.40 thf(f380,plain,( 0.16/0.40 ? [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))))) => (($true = (mem @ sK37 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) & ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ sK37) @ (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)))))), 0.16/0.40 introduced(choice_axiom,[])). 0.16/0.40 thf(f70,plain,( 0.16/0.40 ? [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)))))), 0.16/0.40 inference(fool_elimination,[],[f69])). 0.16/0.40 thf(f69,plain,( 0.16/0.40 ? [X0] : ((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 @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))), 0.16/0.40 inference(rectify,[],[f61])). 0.16/0.40 thf(f61,axiom,( 0.16/0.40 ? [X30] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X30) @ (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 @ X30 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))), 0.16/0.40 file('/export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ)). 0.16/0.40 thf(f667,plain,( 0.16/0.40 ($true != (mem @ sK37 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ~spl42_3), 0.16/0.40 inference(trivial_inequality_removal,[],[f663])). 0.16/0.40 thf(f663,plain,( 0.16/0.40 ($true != (mem @ sK37 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != $true) | ~spl42_3), 0.16/0.40 inference(superposition,[],[f639,f568])). 0.16/0.40 thf(f568,plain,( 0.16/0.40 ($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ sK37) @ (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))))), 0.16/0.40 inference(cnf_transformation,[],[f381])). 0.16/0.40 thf(f639,plain,( 0.16/0.40 ( ! [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)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) ) | ~spl42_3), 0.16/0.40 inference(avatar_component_clause,[],[f638])). 0.16/0.40 thf(f638,plain,( 0.16/0.40 spl42_3 <=> ! [X0] : (($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)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))))), 0.16/0.40 introduced(avatar_definition,[new_symbols(naming,[spl42_3])])). 0.16/0.40 thf(f660,plain,( 0.16/0.40 spl42_3 | spl42_1 | ~spl42_2), 0.16/0.40 inference(avatar_split_clause,[],[f659,f634,f630,f638])). 0.16/0.40 thf(f630,plain,( 0.16/0.40 spl42_1 <=> ($true = (mem @ (sK39 @ (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_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))), 0.16/0.40 introduced(avatar_definition,[new_symbols(naming,[spl42_1])])). 0.16/0.40 thf(f634,plain,( 0.16/0.40 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)))), 0.16/0.40 introduced(avatar_definition,[new_symbols(naming,[spl42_2])])). 0.16/0.40 thf(f659,plain,( 0.16/0.40 ( ! [X0 : $i] : (($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) ) | (spl42_1 | ~spl42_2)), 0.16/0.40 inference(subsumption_resolution,[],[f658,f635])). 0.16/0.40 thf(f635,plain,( 0.16/0.40 ($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), 0.16/0.40 inference(avatar_component_clause,[],[f634])). 0.16/0.40 thf(f658,plain,( 0.16/0.40 ( ! [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 != (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), 0.16/0.40 inference(subsumption_resolution,[],[f657,f408])). 0.16/0.40 thf(f408,plain,( 0.16/0.40 ( ! [X0 : del] : (($true = (mem @ (c_2Epred__set_2EUNIV @ X0) @ (arr @ X0 @ bool)))) )), 0.16/0.40 inference(cnf_transformation,[],[f88])). 0.16/0.40 thf(f88,plain,( 0.16/0.40 ! [X0 : del] : ($true = (mem @ (c_2Epred__set_2EUNIV @ X0) @ (arr @ X0 @ bool)))), 0.16/0.40 inference(fool_elimination,[],[f87])). 0.16/0.40 thf(f87,plain,( 0.16/0.40 ! [X0 : del] : (mem @ (c_2Epred__set_2EUNIV @ X0) @ (arr @ X0 @ bool))), 0.16/0.40 inference(rectify,[],[f10])). 0.16/0.40 thf(f10,axiom,( 0.16/0.40 ! [X5 : del] : (mem @ (c_2Epred__set_2EUNIV @ X5) @ (arr @ X5 @ bool))), 0.16/0.40 file('/export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p',mem_c_2Epred__set_2EUNIV)). 0.16/0.40 thf(f657,plain,( 0.16/0.40 ( ! [X0 : $i] : (($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 != (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_1), 0.16/0.40 inference(trivial_inequality_removal,[],[f656])). 0.16/0.40 thf(f656,plain,( 0.16/0.40 ( ! [X0 : $i] : (($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | ($true != $true) | ($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)))) ) | spl42_1), 0.16/0.40 inference(superposition,[],[f632,f570])). 0.16/0.40 thf(f570,plain,( 0.16/0.40 ( ! [X2 : $i,X3 : $i,X0 : del,X1 : del,X7 : $i] : (($true = (mem @ (sK39 @ X3 @ X2 @ X1 @ X0) @ (arr @ X0 @ X1))) | ($true != (mem @ X7 @ (arr @ X1 @ X0))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X7) @ X2) @ X3))) | ($true != (mem @ X3 @ (arr @ X0 @ bool))) | ($true != (mem @ X2 @ (arr @ X1 @ bool)))) )), 0.16/0.40 inference(cnf_transformation,[],[f386])). 0.16/0.40 thf(f386,plain,( 0.16/0.40 ! [X0 : del,X1 : del,X2] : (($true != (mem @ X2 @ (arr @ X1 @ bool))) | ! [X3] : (($true != (mem @ X3 @ (arr @ X0 @ bool))) | (((($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ (sK38 @ X3 @ X2 @ X1 @ X0)) @ X2) @ X3))) & ($true = (mem @ (sK38 @ X3 @ X2 @ X1 @ X0) @ (arr @ X1 @ X0)))) | ! [X5] : (((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X5) @ X3) @ X2)) != $true) | ($true != (mem @ X5 @ (arr @ X0 @ X1))))) & ((($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ (sK39 @ X3 @ X2 @ X1 @ X0)) @ X3) @ X2))) & ($true = (mem @ (sK39 @ X3 @ X2 @ X1 @ X0) @ (arr @ X0 @ X1)))) | ! [X7] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X7) @ X2) @ X3))) | ($true != (mem @ X7 @ (arr @ X1 @ X0))))))))), 0.16/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f383,f385,f384])). 0.16/0.40 thf(f384,plain,( 0.16/0.40 ! [X0 : del,X1 : del,X2,X3] : (? [X4] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X4) @ X2) @ X3))) & ($true = (mem @ X4 @ (arr @ X1 @ X0)))) => (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ (sK38 @ X3 @ X2 @ X1 @ X0)) @ X2) @ X3))) & ($true = (mem @ (sK38 @ X3 @ X2 @ X1 @ X0) @ (arr @ X1 @ X0)))))), 0.16/0.40 introduced(choice_axiom,[])). 0.16/0.40 thf(f385,plain,( 0.16/0.40 ! [X0 : del,X1 : del,X2,X3] : (? [X6] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X6) @ X3) @ X2))) & ($true = (mem @ X6 @ (arr @ X0 @ X1)))) => (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ (sK39 @ X3 @ X2 @ X1 @ X0)) @ X3) @ X2))) & ($true = (mem @ (sK39 @ X3 @ X2 @ X1 @ X0) @ (arr @ X0 @ X1)))))), 0.16/0.40 introduced(choice_axiom,[])). 0.16/0.40 thf(f383,plain,( 0.16/0.40 ! [X0 : del,X1 : del,X2] : (($true != (mem @ X2 @ (arr @ X1 @ bool))) | ! [X3] : (($true != (mem @ X3 @ (arr @ X0 @ bool))) | ((? [X4] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X4) @ X2) @ X3))) & ($true = (mem @ X4 @ (arr @ X1 @ X0)))) | ! [X5] : (((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X5) @ X3) @ X2)) != $true) | ($true != (mem @ X5 @ (arr @ X0 @ X1))))) & (? [X6] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ X6) @ X3) @ X2))) & ($true = (mem @ X6 @ (arr @ X0 @ X1)))) | ! [X7] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X7) @ X2) @ X3))) | ($true != (mem @ X7 @ (arr @ X1 @ X0))))))))), 0.16/0.40 inference(rectify,[],[f382])). 0.16/0.40 thf(f382,plain,( 0.16/0.40 ! [X1 : del,X2 : del,X0] : (($true != (mem @ X0 @ (arr @ X2 @ bool))) | ! [X3] : (($true != (mem @ X3 @ (arr @ X1 @ bool))) | ((? [X4] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X4) @ X0) @ X3))) & ($true = (mem @ X4 @ (arr @ X2 @ X1)))) | ! [X5] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X5) @ X3) @ X0))) | ($true != (mem @ X5 @ (arr @ X1 @ X2))))) & (? [X5] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X5) @ X3) @ X0))) & ($true = (mem @ X5 @ (arr @ X1 @ X2)))) | ! [X4] : (($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X4) @ X0) @ X3))) | ($true != (mem @ X4 @ (arr @ X2 @ X1))))))))), 0.16/0.40 inference(nnf_transformation,[],[f232])). 0.16/0.40 thf(f232,plain,( 0.16/0.40 ! [X1 : del,X2 : del,X0] : (($true != (mem @ X0 @ (arr @ X2 @ bool))) | ! [X3] : (($true != (mem @ X3 @ (arr @ X1 @ bool))) | (? [X4] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X4) @ X0) @ X3))) & ($true = (mem @ X4 @ (arr @ X2 @ X1)))) <=> ? [X5] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X5) @ X3) @ X0))) & ($true = (mem @ X5 @ (arr @ X1 @ X2)))))))), 0.16/0.40 inference(ennf_transformation,[],[f108])). 0.16/0.40 thf(f108,plain,( 0.16/0.40 ! [X2 : del,X1 : del,X0] : (($true = (mem @ X0 @ (arr @ X2 @ bool))) => ! [X3] : (($true = (mem @ X3 @ (arr @ X1 @ bool))) => (? [X4] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X4) @ X0) @ X3))) & ($true = (mem @ X4 @ (arr @ X2 @ X1)))) <=> ? [X5] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X5) @ X3) @ X0))) & ($true = (mem @ X5 @ (arr @ X1 @ X2)))))))), 0.16/0.40 inference(fool_elimination,[],[f107])). 0.16/0.40 thf(f107,plain,( 0.16/0.40 ! [X0,X1 : del,X2 : del] : ((mem @ X0 @ (arr @ X2 @ bool)) => ! [X3] : ((mem @ X3 @ (arr @ X1 @ bool)) => (? [X4] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X4) @ X0) @ X3)) & (mem @ X4 @ (arr @ X2 @ X1))) <=> ? [X5] : ((mem @ X5 @ (arr @ X1 @ X2)) & (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ X5) @ X3) @ X0))))))), 0.16/0.40 inference(rectify,[],[f67])). 0.16/0.40 thf(f67,axiom,( 0.16/0.40 ! [X31,X10 : del,X5 : del] : ((mem @ X31 @ (arr @ X5 @ bool)) => ! [X32] : ((mem @ X32 @ (arr @ X10 @ bool)) => (? [X34] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X5 @ X10) @ X34) @ X31) @ X32)) & (mem @ X34 @ (arr @ X5 @ X10))) <=> ? [X33] : ((mem @ X33 @ (arr @ X10 @ X5)) & (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X10 @ X5) @ X33) @ X32) @ X31))))))), 0.16/0.40 file('/export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p',conj_thm_2Epred__set_2EBIJ__SYM)). 0.16/0.40 thf(f632,plain,( 0.16/0.40 ($true != (mem @ (sK39 @ (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_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))) | spl42_1), 0.16/0.40 inference(avatar_component_clause,[],[f630])). 0.16/0.40 thf(f655,plain,( 0.16/0.40 spl42_2), 0.16/0.40 inference(avatar_contradiction_clause,[],[f654])). 0.16/0.40 thf(f654,plain,( 0.16/0.40 $false | spl42_2), 0.16/0.40 inference(subsumption_resolution,[],[f653,f408])). 0.16/0.40 thf(f653,plain,( 0.16/0.40 ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | spl42_2), 0.16/0.40 inference(trivial_inequality_removal,[],[f652])). 0.16/0.40 thf(f652,plain,( 0.16/0.40 ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | ($true != $true) | spl42_2), 0.16/0.40 inference(duplicate_literal_removal,[],[f651])). 0.16/0.40 thf(f651,plain,( 0.16/0.40 ($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), 0.16/0.40 inference(superposition,[],[f650,f555])). 0.16/0.40 thf(f555,plain,( 0.16/0.40 ( ! [X0 : del,X1 : del] : (($true = (mem @ (c_2Epred__set_2ECROSS @ X0 @ X1) @ (arr @ (arr @ X0 @ bool) @ (arr @ (arr @ X1 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X0 @ X1) @ bool)))))) )), 0.16/0.40 inference(cnf_transformation,[],[f174])). 0.16/0.40 thf(f174,plain,( 0.16/0.40 ! [X0 : del,X1 : del] : ($true = (mem @ (c_2Epred__set_2ECROSS @ X0 @ X1) @ (arr @ (arr @ X0 @ bool) @ (arr @ (arr @ X1 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X0 @ X1) @ bool)))))), 0.16/0.40 inference(fool_elimination,[],[f173])). 0.16/0.40 thf(f173,plain,( 0.16/0.40 ! [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))))), 0.16/0.40 inference(rectify,[],[f15])). 0.16/0.40 thf(f15,axiom,( 0.16/0.40 ! [X5 : del,X10 : del] : (mem @ (c_2Epred__set_2ECROSS @ X5 @ X10) @ (arr @ (arr @ X5 @ bool) @ (arr @ (arr @ X10 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X5 @ X10) @ bool))))), 0.16/0.40 file('/export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p',mem_c_2Epred__set_2ECROSS)). 0.16/0.40 thf(f650,plain,( 0.16/0.40 ( ! [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) @ X1)) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0))) ) | spl42_2), 0.16/0.40 inference(trivial_inequality_removal,[],[f649])). 0.16/0.40 thf(f649,plain,( 0.16/0.40 ( ! [X0 : del,X1 : del] : (($true != $true) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0)) | ((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) @ X1))) ) | spl42_2), 0.16/0.40 inference(superposition,[],[f648,f511])). 0.16/0.40 thf(f511,plain,( 0.16/0.40 ( ! [X2 : del,X3 : $i,X0 : del,X1 : $i] : (($true = (mem @ (ap @ X1 @ X3) @ X0)) | ($true != (mem @ X1 @ (arr @ X2 @ X0))) | ($true != (mem @ X3 @ X2))) )), 0.16/0.40 inference(cnf_transformation,[],[f230])). 0.16/0.40 thf(f230,plain,( 0.16/0.40 ! [X0 : del,X1,X2 : del] : (($true != (mem @ X1 @ (arr @ X2 @ X0))) | ! [X3] : (($true != (mem @ X3 @ X2)) | ($true = (mem @ (ap @ X1 @ X3) @ X0))))), 0.16/0.40 inference(ennf_transformation,[],[f154])). 0.16/0.40 thf(f154,plain,( 0.16/0.40 ! [X0 : del,X2 : del,X1] : (($true = (mem @ X1 @ (arr @ X2 @ X0))) => ! [X3] : (($true = (mem @ X3 @ X2)) => ($true = (mem @ (ap @ X1 @ X3) @ X0))))), 0.16/0.40 inference(fool_elimination,[],[f153])). 0.16/0.40 thf(f153,plain,( 0.16/0.40 ! [X0 : del,X1,X2 : del] : ((mem @ X1 @ (arr @ X2 @ X0)) => ! [X3] : ((mem @ X3 @ X2) => (mem @ (ap @ X1 @ X3) @ X0)))), 0.16/0.40 inference(rectify,[],[f5])). 0.16/0.40 thf(f5,axiom,( 0.16/0.40 ! [X1 : del,X2,X0 : del] : ((mem @ X2 @ (arr @ X0 @ X1)) => ! [X3] : ((mem @ X3 @ X0) => (mem @ (ap @ X2 @ X3) @ X1)))), 0.16/0.40 file('/export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p',ap_tp)). 0.16/0.40 thf(f648,plain,( 0.16/0.40 ( ! [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), 0.16/0.40 inference(trivial_inequality_removal,[],[f647])). 0.16/0.40 thf(f647,plain,( 0.16/0.40 ( ! [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)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ X0))) ) | spl42_2), 0.16/0.40 inference(superposition,[],[f636,f511])). 0.16/0.40 thf(f636,plain,( 0.16/0.40 ($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), 0.16/0.40 inference(avatar_component_clause,[],[f634])). 0.16/0.40 thf(f640,plain,( 0.16/0.40 ~spl42_1 | ~spl42_2 | spl42_3), 0.16/0.40 inference(avatar_split_clause,[],[f628,f638,f634,f630])). 0.16/0.40 thf(f628,plain,( 0.16/0.40 ( ! [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 @ (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 @ (sK39 @ (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_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))) )), 0.16/0.40 inference(subsumption_resolution,[],[f627,f408])). 0.16/0.40 thf(f627,plain,( 0.16/0.40 ( ! [X0 : $i] : (($true != (mem @ (sK39 @ (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_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ 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))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != (mem @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) )), 0.16/0.40 inference(trivial_inequality_removal,[],[f624])). 0.16/0.40 thf(f624,plain,( 0.16/0.40 ( ! [X0 : $i] : (($true != (mem @ (sK39 @ (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_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))) | ($true != (mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (arr @ ty_2Enum_2Enum @ bool))) | ($true != $true) | ($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 @ X0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) )), 0.16/0.40 inference(superposition,[],[f460,f571])). 0.16/0.40 thf(f571,plain,( 0.16/0.40 ( ! [X2 : $i,X3 : $i,X0 : del,X1 : del,X7 : $i] : (($true = (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X0 @ X1) @ (sK39 @ X3 @ X2 @ X1 @ X0)) @ X3) @ X2))) | ($true != (mem @ X3 @ (arr @ X0 @ bool))) | ($true != (mem @ X7 @ (arr @ X1 @ X0))) | ($true != (mem @ X2 @ (arr @ X1 @ bool))) | ($true != (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X0) @ X7) @ X2) @ X3)))) )), 0.16/0.40 inference(cnf_transformation,[],[f386])). 0.16/0.40 thf(f460,plain,( 0.16/0.40 ( ! [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))))) | ((mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))) != $true)) )), 0.16/0.40 inference(cnf_transformation,[],[f224])). 0.16/0.40 thf(f224,plain,( 0.16/0.40 ! [X0] : (($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))))) | ((mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))) != $true))), 0.16/0.40 inference(ennf_transformation,[],[f116])). 0.16/0.40 thf(f116,plain,( 0.16/0.40 ~? [X0] : (((mem @ X0 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))) = $true) & ($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))))))), 0.16/0.40 inference(fool_elimination,[],[f115])). 0.16/0.40 thf(f115,plain,( 0.16/0.40 ~? [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))))), 0.16/0.40 inference(rectify,[],[f60])). 0.16/0.40 thf(f60,negated_conjecture,( 0.16/0.40 ~? [X30] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X30) @ (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 @ X30 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))), 0.16/0.40 inference(negated_conjecture,[],[f59])). 0.16/0.40 thf(f59,conjecture,( 0.16/0.40 ? [X30] : ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X30) @ (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 @ X30 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))), 0.16/0.40 file('/export/starexec/sandbox/tmp/tmp.LZZ63JSo9g/E---3.1_21352.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV)). 0.16/0.40 % SZS output end Proof for E---3.1_21352 0.16/0.40 % (21464)------------------------------ 0.16/0.40 % (21464)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.40 % (21464)Termination reason: Refutation 0.16/0.40 0.16/0.40 % (21464)Memory used [KB]: 6396 0.16/0.40 % (21464)Time elapsed: 0.036 s 0.16/0.40 % (21464)Instructions burned: 64 (million) 0.16/0.40 % (21464)------------------------------ 0.16/0.40 % (21464)------------------------------ 0.16/0.40 % (21458)Success in time 0.042 s 0.16/0.40 EOF