0.03/0.13 % Problem : Vampire---4.8_13837 : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n017.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 12:19:39 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837 -m 12000 -t 180 0.14/0.38 % (14059)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.14/0.38 % (14060)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.14/0.38 % (14057)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.38 % (14064)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.14/0.38 % (14063)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.14/0.38 % (14061)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.38 % (14062)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.14/0.38 % (14063)Instruction limit reached! 0.14/0.38 % (14063)------------------------------ 0.14/0.38 % (14063)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.38 % (14063)Termination reason: Unknown 0.14/0.38 % (14063)Termination phase: Preprocessing 1 0.14/0.38 0.14/0.38 % (14063)Memory used [KB]: 1023 0.14/0.38 % (14063)Time elapsed: 0.005 s 0.14/0.38 % (14063)Instructions burned: 5 (million) 0.14/0.38 % (14063)------------------------------ 0.14/0.38 % (14063)------------------------------ 0.14/0.39 % (14058)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.39 % (14064)Refutation not found, incomplete strategy 0.14/0.39 % (14064)------------------------------ 0.14/0.39 % (14064)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (14064)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (14064)Memory used [KB]: 5756 0.14/0.39 % (14064)Time elapsed: 0.012 s 0.14/0.39 % (14064)Instructions burned: 17 (million) 0.14/0.39 % (14064)------------------------------ 0.14/0.39 % (14064)------------------------------ 0.14/0.39 % (14061)Instruction limit reached! 0.14/0.39 % (14061)------------------------------ 0.14/0.39 % (14061)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (14061)Termination reason: Unknown 0.14/0.39 % (14061)Termination phase: Saturation 0.14/0.39 0.14/0.39 % (14061)Memory used [KB]: 5756 0.14/0.39 % (14061)Time elapsed: 0.013 s 0.14/0.39 % (14061)Instructions burned: 17 (million) 0.14/0.39 % (14061)------------------------------ 0.14/0.39 % (14061)------------------------------ 0.14/0.40 % (14078)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.14/0.40 % (14059)Instruction limit reached! 0.14/0.40 % (14059)------------------------------ 0.14/0.40 % (14059)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (14059)Termination reason: Unknown 0.14/0.40 % (14059)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (14059)Memory used [KB]: 5756 0.14/0.40 % (14059)Time elapsed: 0.024 s 0.14/0.40 % (14059)Instructions burned: 35 (million) 0.14/0.40 % (14059)------------------------------ 0.14/0.40 % (14059)------------------------------ 0.14/0.41 % (14081)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.14/0.41 % (14058)Instruction limit reached! 0.14/0.41 % (14058)------------------------------ 0.14/0.41 % (14058)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.41 % (14058)Termination reason: Unknown 0.14/0.41 % (14058)Termination phase: Saturation 0.14/0.41 0.14/0.41 % (14058)Memory used [KB]: 5884 0.14/0.41 % (14058)Time elapsed: 0.025 s 0.14/0.41 % (14058)Instructions burned: 36 (million) 0.14/0.41 % (14058)------------------------------ 0.14/0.41 % (14058)------------------------------ 0.14/0.41 % (14082)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.14/0.41 % (14081)Instruction limit reached! 0.14/0.41 % (14081)------------------------------ 0.14/0.41 % (14081)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.41 % (14081)Termination reason: Unknown 0.14/0.41 % (14081)Termination phase: Property scanning 0.14/0.41 0.14/0.41 % (14081)Memory used [KB]: 1023 0.14/0.41 % (14081)Time elapsed: 0.006 s 0.14/0.41 % (14081)Instructions burned: 7 (million) 0.14/0.41 % (14081)------------------------------ 0.14/0.41 % (14081)------------------------------ 0.14/0.41 % (14078)Instruction limit reached! 0.14/0.41 % (14078)------------------------------ 0.14/0.41 % (14078)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.41 % (14078)Termination reason: Unknown 0.14/0.41 % (14078)Termination phase: Saturation 0.14/0.41 0.14/0.41 % (14078)Memory used [KB]: 5756 0.14/0.41 % (14078)Time elapsed: 0.015 s 0.14/0.41 % (14078)Instructions burned: 21 (million) 0.14/0.41 % (14078)------------------------------ 0.14/0.41 % (14078)------------------------------ 0.14/0.42 % (14083)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.14/0.42 % (14086)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.14/0.43 % (14088)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.14/0.43 % (14090)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.14/0.43 % (14086)Instruction limit reached! 0.14/0.43 % (14086)------------------------------ 0.14/0.43 % (14086)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.43 % (14086)Termination reason: Unknown 0.14/0.43 % (14086)Termination phase: Property scanning 0.14/0.43 0.14/0.43 % (14086)Memory used [KB]: 1023 0.14/0.43 % (14086)Time elapsed: 0.007 s 0.14/0.43 % (14086)Instructions burned: 9 (million) 0.14/0.43 % (14086)------------------------------ 0.14/0.43 % (14086)------------------------------ 0.21/0.44 % (14062)Instruction limit reached! 0.21/0.44 % (14062)------------------------------ 0.21/0.44 % (14062)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (14062)Termination reason: Unknown 0.21/0.44 % (14062)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (14062)Memory used [KB]: 6140 0.21/0.44 % (14062)Time elapsed: 0.057 s 0.21/0.44 % (14062)Instructions burned: 75 (million) 0.21/0.44 % (14062)------------------------------ 0.21/0.44 % (14062)------------------------------ 0.21/0.44 % (14093)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.21/0.45 % (14057)Instruction limit reached! 0.21/0.45 % (14057)------------------------------ 0.21/0.45 % (14057)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (14057)Termination reason: Unknown 0.21/0.45 % (14057)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (14057)Memory used [KB]: 5756 0.21/0.45 % (14057)Time elapsed: 0.067 s 0.21/0.45 % (14057)Instructions burned: 96 (million) 0.21/0.45 % (14057)------------------------------ 0.21/0.45 % (14057)------------------------------ 0.21/0.46 % (14097)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.21/0.46 % (14097)Instruction limit reached! 0.21/0.46 % (14097)------------------------------ 0.21/0.46 % (14097)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (14097)Termination reason: Unknown 0.21/0.46 % (14097)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (14097)Memory used [KB]: 5628 0.21/0.46 % (14097)Time elapsed: 0.011 s 0.21/0.46 % (14097)Instructions burned: 14 (million) 0.21/0.46 % (14097)------------------------------ 0.21/0.46 % (14097)------------------------------ 0.21/0.47 % (14083)Instruction limit reached! 0.21/0.47 % (14083)------------------------------ 0.21/0.47 % (14083)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (14083)Termination reason: Unknown 0.21/0.47 % (14083)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (14083)Memory used [KB]: 6012 0.21/0.47 % (14083)Time elapsed: 0.051 s 0.21/0.47 % (14083)Instructions burned: 72 (million) 0.21/0.47 % (14083)------------------------------ 0.21/0.47 % (14083)------------------------------ 0.21/0.47 % (14102)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.21/0.47 % (14102)Instruction limit reached! 0.21/0.47 % (14102)------------------------------ 0.21/0.47 % (14102)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (14102)Termination reason: Unknown 0.21/0.47 % (14102)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (14102)Memory used [KB]: 1023 0.21/0.47 % (14102)Time elapsed: 0.003 s 0.21/0.47 % (14102)Instructions burned: 2 (million) 0.21/0.47 % (14102)------------------------------ 0.21/0.47 % (14102)------------------------------ 0.21/0.48 % (14093)Instruction limit reached! 0.21/0.48 % (14093)------------------------------ 0.21/0.48 % (14093)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (14105)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 Vampire---4 for (1799ds/1041Mi) 0.21/0.48 % (14093)Termination reason: Unknown 0.21/0.48 % (14093)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (14093)Memory used [KB]: 5884 0.21/0.48 % (14093)Time elapsed: 0.038 s 0.21/0.48 % (14093)Instructions burned: 61 (million) 0.21/0.48 % (14093)------------------------------ 0.21/0.48 % (14093)------------------------------ 0.21/0.48 % (14060)First to succeed. 0.21/0.48 % (14107)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi) 0.21/0.49 % (14060)Refutation found. Thanks to Tanya! 0.21/0.49 % SZS status Theorem for Vampire---4 0.21/0.49 % SZS output start Proof for Vampire---4 0.21/0.49 thf(type_def_5, type, del: $tType). 0.21/0.49 thf(func_def_0, type, del: $tType). 0.21/0.49 thf(func_def_1, type, bool: del). 0.21/0.49 thf(func_def_2, type, ind: del). 0.21/0.49 thf(func_def_3, type, arr: del > del > del). 0.21/0.49 thf(func_def_4, type, mem: $i > del > $o). 0.21/0.49 thf(func_def_5, type, ap: $i > $i > $i). 0.21/0.49 thf(func_def_6, type, lam: del > ($i > $i) > $i). 0.21/0.49 thf(func_def_7, type, p: $i > $o). 0.21/0.49 thf(func_def_8, type, inj__o: $o > $i). 0.21/0.49 thf(func_def_11, type, c_2Epred__set_2ESUBSET: del > $i). 0.21/0.49 thf(func_def_14, type, c_2Ebool_2EIN: del > $i). 0.21/0.49 thf(func_def_15, type, c_2Epred__set_2ECHOICE: del > $i). 0.21/0.49 thf(func_def_16, type, c_2Epred__set_2EDELETE: del > $i). 0.21/0.49 thf(func_def_17, type, c_2Epred__set_2EREST: del > $i). 0.21/0.49 thf(func_def_18, type, c_2Emin_2E_3D: del > $i). 0.21/0.49 thf(func_def_19, type, c_2Ebool_2E_21: del > $i). 0.21/0.49 thf(func_def_22, type, sK0: $i > $i > del > $i). 0.21/0.49 thf(func_def_23, type, sK1: $i > $i > del > $i). 0.21/0.49 thf(func_def_24, type, sK2: del). 0.21/0.49 thf(f274,plain,( 0.21/0.49 $false), 0.21/0.49 inference(subsumption_resolution,[],[f273,f116])). 0.21/0.49 thf(f116,plain,( 0.21/0.49 ((mem @ sK3 @ (arr @ sK2 @ bool)) = $true)), 0.21/0.49 inference(cnf_transformation,[],[f98])). 0.21/0.49 thf(f98,plain,( 0.21/0.49 ((mem @ sK3 @ (arr @ sK2 @ bool)) = $true) & ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK2) @ (ap @ (c_2Epred__set_2EREST @ sK2) @ sK3)) @ sK3)) != $true)), 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f83,f97])). 0.21/0.49 thf(f97,plain,( 0.21/0.49 ? [X0 : del,X1] : (((mem @ X1 @ (arr @ X0 @ bool)) = $true) & ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) != $true)) => (((mem @ sK3 @ (arr @ sK2 @ bool)) = $true) & ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK2) @ (ap @ (c_2Epred__set_2EREST @ sK2) @ sK3)) @ sK3)) != $true))), 0.21/0.49 introduced(choice_axiom,[])). 0.21/0.49 thf(f83,plain,( 0.21/0.49 ? [X0 : del,X1] : (((mem @ X1 @ (arr @ X0 @ bool)) = $true) & ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) != $true))), 0.21/0.49 inference(ennf_transformation,[],[f62])). 0.21/0.49 thf(f62,plain,( 0.21/0.49 ~! [X0 : del,X1] : (((mem @ X1 @ (arr @ X0 @ bool)) = $true) => ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) = $true))), 0.21/0.49 inference(fool_elimination,[],[f61])). 0.21/0.49 thf(f61,plain,( 0.21/0.49 ~! [X0 : del,X1] : ((mem @ X1 @ (arr @ X0 @ bool)) => (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)))), 0.21/0.49 inference(rectify,[],[f19])). 0.21/0.49 thf(f19,negated_conjecture,( 0.21/0.49 ~! [X6 : del,X7] : ((mem @ X7 @ (arr @ X6 @ bool)) => (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X6) @ (ap @ (c_2Epred__set_2EREST @ X6) @ X7)) @ X7)))), 0.21/0.49 inference(negated_conjecture,[],[f18])). 0.21/0.49 thf(f18,conjecture,( 0.21/0.49 ! [X6 : del,X7] : ((mem @ X7 @ (arr @ X6 @ bool)) => (p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X6) @ (ap @ (c_2Epred__set_2EREST @ X6) @ X7)) @ X7)))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',conj_thm_2Epred__set_2EREST__SUBSET)). 0.21/0.49 thf(f273,plain,( 0.21/0.49 ((mem @ sK3 @ (arr @ sK2 @ bool)) != $true)), 0.21/0.49 inference(trivial_inequality_removal,[],[f272])). 0.21/0.49 thf(f272,plain,( 0.21/0.49 ($true != $true) | ((mem @ sK3 @ (arr @ sK2 @ bool)) != $true)), 0.21/0.49 inference(superposition,[],[f248,f105])). 0.21/0.49 thf(f105,plain,( 0.21/0.49 ( ! [X0 : del] : (($true = (mem @ (c_2Epred__set_2ECHOICE @ X0) @ (arr @ (arr @ X0 @ bool) @ X0)))) )), 0.21/0.49 inference(cnf_transformation,[],[f32])). 0.21/0.49 thf(f32,plain,( 0.21/0.49 ! [X0 : del] : ($true = (mem @ (c_2Epred__set_2ECHOICE @ X0) @ (arr @ (arr @ X0 @ bool) @ X0)))), 0.21/0.49 inference(fool_elimination,[],[f31])). 0.21/0.49 thf(f31,plain,( 0.21/0.49 ! [X0 : del] : (mem @ (c_2Epred__set_2ECHOICE @ X0) @ (arr @ (arr @ X0 @ bool) @ X0))), 0.21/0.49 inference(rectify,[],[f27])). 0.21/0.49 thf(f27,axiom,( 0.21/0.49 ! [X6 : del] : (mem @ (c_2Epred__set_2ECHOICE @ X6) @ (arr @ (arr @ X6 @ bool) @ X6))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',mem_c_2Epred__set_2ECHOICE)). 0.21/0.49 thf(f248,plain,( 0.21/0.49 ( ! [X0 : del] : (((mem @ (c_2Epred__set_2ECHOICE @ sK2) @ (arr @ X0 @ sK2)) != $true) | ((mem @ sK3 @ X0) != $true)) )), 0.21/0.49 inference(trivial_inequality_removal,[],[f247])). 0.21/0.49 thf(f247,plain,( 0.21/0.49 ( ! [X0 : del] : (($true != $true) | ((mem @ sK3 @ X0) != $true) | ((mem @ (c_2Epred__set_2ECHOICE @ sK2) @ (arr @ X0 @ sK2)) != $true)) )), 0.21/0.49 inference(superposition,[],[f236,f103])). 0.21/0.49 thf(f103,plain,( 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : del,X1 : del] : (((mem @ (ap @ X2 @ X3) @ X1) = $true) | ((mem @ X3 @ X0) != $true) | ((mem @ X2 @ (arr @ X0 @ X1)) != $true)) )), 0.21/0.49 inference(cnf_transformation,[],[f90])). 0.21/0.49 thf(f90,plain,( 0.21/0.49 ! [X0 : del,X1 : del,X2] : (((mem @ X2 @ (arr @ X0 @ X1)) != $true) | ! [X3] : (((mem @ X3 @ X0) != $true) | ((mem @ (ap @ X2 @ X3) @ X1) = $true)))), 0.21/0.49 inference(rectify,[],[f84])). 0.21/0.49 thf(f84,plain,( 0.21/0.49 ! [X2 : del,X0 : del,X1] : (((mem @ X1 @ (arr @ X2 @ X0)) != $true) | ! [X3] : (($true != (mem @ X3 @ X2)) | ((mem @ (ap @ X1 @ X3) @ X0) = $true)))), 0.21/0.49 inference(ennf_transformation,[],[f38])). 0.21/0.49 thf(f38,plain,( 0.21/0.49 ! [X2 : del,X0 : del,X1] : (((mem @ X1 @ (arr @ X2 @ X0)) = $true) => ! [X3] : (($true = (mem @ X3 @ X2)) => ((mem @ (ap @ X1 @ X3) @ X0) = $true)))), 0.21/0.49 inference(fool_elimination,[],[f37])). 0.21/0.49 thf(f37,plain,( 0.21/0.49 ! [X0 : del,X1,X2 : del] : ((mem @ X1 @ (arr @ X2 @ X0)) => ! [X3] : ((mem @ X3 @ X2) => (mem @ (ap @ X1 @ X3) @ X0)))), 0.21/0.49 inference(rectify,[],[f3])). 0.21/0.49 thf(f3,axiom,( 0.21/0.49 ! [X3 : del,X2,X1 : del] : ((mem @ X2 @ (arr @ X1 @ X3)) => ! [X0] : ((mem @ X0 @ X1) => (mem @ (ap @ X2 @ X0) @ X3)))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',ap_tp)). 0.21/0.49 thf(f236,plain,( 0.21/0.49 ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK2) @ sK3) @ sK2) != $true)), 0.21/0.49 inference(subsumption_resolution,[],[f235,f116])). 0.21/0.49 thf(f235,plain,( 0.21/0.49 ((mem @ sK3 @ (arr @ sK2 @ bool)) != $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK2) @ sK3) @ sK2) != $true)), 0.21/0.49 inference(trivial_inequality_removal,[],[f232])). 0.21/0.49 thf(f232,plain,( 0.21/0.49 ((mem @ sK3 @ (arr @ sK2 @ bool)) != $true) | ($true != $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ sK2) @ sK3) @ sK2) != $true)), 0.21/0.49 inference(superposition,[],[f115,f214])). 0.21/0.49 thf(f214,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) = $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0))) )), 0.21/0.49 inference(subsumption_resolution,[],[f209,f145])). 0.21/0.49 thf(f145,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (($true = (mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ (arr @ X0 @ bool))) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(trivial_inequality_removal,[],[f144])). 0.21/0.49 thf(f144,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ($true = (mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ (arr @ X0 @ bool))) | ($true != $true)) )), 0.21/0.49 inference(duplicate_literal_removal,[],[f143])). 0.21/0.49 thf(f143,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ($true != $true) | ($true = (mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ (arr @ X0 @ bool))) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(superposition,[],[f134,f102])). 0.21/0.49 thf(f102,plain,( 0.21/0.49 ( ! [X0 : del] : (((mem @ (c_2Epred__set_2EDELETE @ X0) @ (arr @ (arr @ X0 @ bool) @ (arr @ X0 @ (arr @ X0 @ bool)))) = $true)) )), 0.21/0.49 inference(cnf_transformation,[],[f30])). 0.21/0.49 thf(f30,plain,( 0.21/0.49 ! [X0 : del] : ((mem @ (c_2Epred__set_2EDELETE @ X0) @ (arr @ (arr @ X0 @ bool) @ (arr @ X0 @ (arr @ X0 @ bool)))) = $true)), 0.21/0.49 inference(fool_elimination,[],[f29])). 0.21/0.49 thf(f29,plain,( 0.21/0.49 ! [X0 : del] : (mem @ (c_2Epred__set_2EDELETE @ X0) @ (arr @ (arr @ X0 @ bool) @ (arr @ X0 @ (arr @ X0 @ bool))))), 0.21/0.49 inference(rectify,[],[f22])). 0.21/0.49 thf(f22,axiom,( 0.21/0.49 ! [X6 : del] : (mem @ (c_2Epred__set_2EDELETE @ X6) @ (arr @ (arr @ X6 @ bool) @ (arr @ X6 @ (arr @ X6 @ bool))))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',mem_c_2Epred__set_2EDELETE)). 0.21/0.49 thf(f134,plain,( 0.21/0.49 ( ! [X2 : del,X3 : del,X0 : del,X1 : $i,X4 : del] : (((mem @ (c_2Epred__set_2EDELETE @ X0) @ (arr @ X4 @ (arr @ X2 @ X3))) != $true) | ((mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ X3) = $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X2) != $true) | ((mem @ X1 @ X4) != $true)) )), 0.21/0.49 inference(trivial_inequality_removal,[],[f133])). 0.21/0.49 thf(f133,plain,( 0.21/0.49 ( ! [X2 : del,X3 : del,X0 : del,X1 : $i,X4 : del] : (((mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ X3) = $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X2) != $true) | ($true != $true) | ((mem @ (c_2Epred__set_2EDELETE @ X0) @ (arr @ X4 @ (arr @ X2 @ X3))) != $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ X1 @ X4) != $true)) )), 0.21/0.49 inference(superposition,[],[f120,f103])). 0.21/0.49 thf(f120,plain,( 0.21/0.49 ( ! [X2 : del,X3 : del,X0 : del,X1 : $i] : (($true != (mem @ (ap @ (c_2Epred__set_2EDELETE @ X0) @ X1) @ (arr @ X3 @ X2))) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X3)) | ((mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ X2) = $true)) )), 0.21/0.49 inference(superposition,[],[f103,f117])). 0.21/0.49 thf(f117,plain,( 0.21/0.49 ( ! [X0 : $i,X1 : del] : (((ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ (ap @ (c_2Epred__set_2ECHOICE @ X1) @ X0)) = (ap @ (c_2Epred__set_2EREST @ X1) @ X0)) | ((mem @ X0 @ (arr @ X1 @ bool)) != $true)) )), 0.21/0.49 inference(cnf_transformation,[],[f99])). 0.21/0.49 thf(f99,plain,( 0.21/0.49 ! [X0,X1 : del] : (((mem @ X0 @ (arr @ X1 @ bool)) != $true) | ((ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ (ap @ (c_2Epred__set_2ECHOICE @ X1) @ X0)) = (ap @ (c_2Epred__set_2EREST @ X1) @ X0)))), 0.21/0.49 inference(rectify,[],[f82])). 0.21/0.49 thf(f82,plain,( 0.21/0.49 ! 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[X6 : del,X7] : ((mem @ X7 @ (arr @ X6 @ bool)) => ((ap @ (c_2Epred__set_2EREST @ X6) @ X7) = (ap @ (ap @ (c_2Epred__set_2EDELETE @ X6) @ X7) @ (ap @ (c_2Epred__set_2ECHOICE @ X6) @ X7))))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',ax_thm_2Epred__set_2EREST__DEF)). 0.21/0.49 thf(f209,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) = $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ (arr @ X0 @ bool)))) )), 0.21/0.49 inference(trivial_inequality_removal,[],[f208])). 0.21/0.49 thf(f208,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ($true != $true) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) = $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ (arr @ X0 @ bool)))) )), 0.21/0.49 inference(duplicate_literal_removal,[],[f203])). 0.21/0.49 thf(f203,plain,( 0.21/0.49 ( ! [X0 : del,X1 : $i] : (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) = $true) | ($true != $true) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)) @ X1)) = $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ($true != (mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1) @ (arr @ X0 @ bool)))) )), 0.21/0.49 inference(superposition,[],[f106,f167])). 0.21/0.49 thf(f167,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X1 @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ X0)) @ X2)) = $true) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2)) @ X1)) = $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X2) @ X0) != $true) | ((mem @ X2 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(subsumption_resolution,[],[f166,f145])). 0.21/0.49 thf(f166,plain,( 0.21/0.49 ( ! 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[X2] : (((mem @ X2 @ (arr @ X0 @ bool)) != $true) | ((! [X3] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) != $true) | ((mem @ X3 @ X0) != $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) = $true)) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) != $true)) & (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true) | (($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X1))) & ($true = (mem @ (sK1 @ X2 @ X1 @ X0) @ X0)) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)) != $true))))))), 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f92,f93])). 0.21/0.49 thf(f93,plain,( 0.21/0.49 ! [X0 : del,X1,X2] : (? [X4] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X1)) = $true) & ((mem @ X4 @ X0) = $true) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X2)) != $true)) => (($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X1))) & ($true = (mem @ (sK1 @ X2 @ X1 @ X0) @ X0)) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)) != $true)))), 0.21/0.49 introduced(choice_axiom,[])). 0.21/0.49 thf(f92,plain,( 0.21/0.49 ! [X0 : del,X1] : (((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ! [X2] : (((mem @ X2 @ (arr @ X0 @ bool)) != $true) | ((! [X3] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) != $true) | ((mem @ X3 @ X0) != $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) = $true)) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) != $true)) & (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true) | ? [X4] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X1)) = $true) & ((mem @ X4 @ X0) = $true) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X4) @ X2)) != $true))))))), 0.21/0.49 inference(rectify,[],[f91])). 0.21/0.49 thf(f91,plain,( 0.21/0.49 ! [X0 : del,X1] : (((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ! [X2] : (((mem @ X2 @ (arr @ X0 @ bool)) != $true) | ((! [X3] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) != $true) | ((mem @ X3 @ X0) != $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) = $true)) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) != $true)) & (((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true) | ? [X3] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) = $true) & ((mem @ X3 @ X0) = $true) & ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) != $true))))))), 0.21/0.49 inference(nnf_transformation,[],[f86])). 0.21/0.49 thf(f86,plain,( 0.21/0.49 ! [X0 : del,X1] : (((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ! [X2] : (((mem @ X2 @ (arr @ X0 @ bool)) != $true) | (! [X3] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) != $true) | ((mem @ X3 @ X0) != $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) = $true)) <=> ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true))))), 0.21/0.49 inference(flattening,[],[f85])). 0.21/0.49 thf(f85,plain,( 0.21/0.49 ! [X1,X0 : del] : (! [X2] : ((! [X3] : ((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) = $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) != $true)) | ((mem @ X3 @ X0) != $true)) <=> ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true)) | ((mem @ X2 @ (arr @ X0 @ bool)) != $true)) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true))), 0.21/0.49 inference(ennf_transformation,[],[f46])). 0.21/0.49 thf(f46,plain,( 0.21/0.49 ! [X1,X0 : del] : (((mem @ X1 @ (arr @ X0 @ bool)) = $true) => ! [X2] : (((mem @ X2 @ (arr @ X0 @ bool)) = $true) => (! [X3] : (((mem @ X3 @ X0) = $true) => (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) = $true) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)) = $true))) <=> ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true))))), 0.21/0.49 inference(fool_elimination,[],[f45])). 0.21/0.49 thf(f45,plain,( 0.21/0.49 ! [X0 : del,X1] : ((mem @ X1 @ (arr @ X0 @ bool)) => ! [X2] : ((mem @ X2 @ (arr @ X0 @ bool)) => ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) <=> ! [X3] : ((mem @ X3 @ X0) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X1)) => (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X3) @ X2)))))))), 0.21/0.49 inference(rectify,[],[f26])). 0.21/0.49 thf(f26,axiom,( 0.21/0.49 ! [X6 : del,X7] : ((mem @ X7 @ (arr @ X6 @ bool)) => ! [X12] : ((mem @ X12 @ (arr @ X6 @ bool)) => ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X6) @ X7) @ X12)) <=> ! [X13] : ((mem @ X13 @ X6) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X6) @ X13) @ X7)) => (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X6) @ X13) @ X12)))))))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',ax_thm_2Epred__set_2ESUBSET__DEF)). 0.21/0.49 thf(f162,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (((mem @ X2 @ (arr @ X0 @ bool)) != $true) | ((mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ (arr @ X0 @ bool)) != $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X2) @ X0) != $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ (sK1 @ X1 @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ X0) @ X0) != $true) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2)) @ X1)) = $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X1 @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ X0)) @ X2)) = $true)) )), 0.21/0.49 inference(trivial_inequality_removal,[],[f160])). 0.21/0.49 thf(f160,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (((mem @ X2 @ (arr @ X0 @ bool)) != $true) | ($true != $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X1 @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ X0)) @ X2)) = $true) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2)) @ X1)) = $true) | ((mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X2) @ X0) != $true) | ((mem @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ (arr @ X0 @ bool)) != $true) | ((mem @ (sK1 @ X1 @ (ap @ (c_2Epred__set_2EREST @ X0) @ X2) @ X0) @ X0) != $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(superposition,[],[f130,f108])). 0.21/0.49 thf(f108,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X1))) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((mem @ X2 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(cnf_transformation,[],[f94])). 0.21/0.49 thf(f130,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (($true != (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)))) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1)) = $true) | ($true != (mem @ X2 @ X0)) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0))) )), 0.21/0.49 inference(duplicate_literal_removal,[],[f128])). 0.21/0.49 thf(f128,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (($true != (mem @ (ap @ (c_2Epred__set_2ECHOICE @ X0) @ X1) @ X0)) | ($true != (mem @ X2 @ X0)) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ X1)) = $true) | ($true != (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ X2) @ (ap @ (c_2Epred__set_2EREST @ X0) @ X1)))) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(superposition,[],[f112,f117])). 0.21/0.49 thf(f112,plain,( 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : del] : (($true != (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3)))) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) = $true) | ((mem @ X0 @ (arr @ X1 @ bool)) != $true) | ((mem @ X3 @ X1) != $true) | ((mem @ X2 @ X1) != $true)) )), 0.21/0.49 inference(cnf_transformation,[],[f96])). 0.21/0.49 thf(f96,plain,( 0.21/0.49 ! [X0,X1 : del] : (((mem @ X0 @ (arr @ X1 @ bool)) != $true) | ! [X2] : (((mem @ X2 @ X1) != $true) | ! [X3] : ((((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) = $true) & (X2 != X3)) | ($true != (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3))))) & (($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3)))) | ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) != $true) | (X2 = X3))) | ((mem @ X3 @ X1) != $true))))), 0.21/0.49 inference(flattening,[],[f95])). 0.21/0.49 thf(f95,plain,( 0.21/0.49 ! [X0,X1 : del] : (((mem @ X0 @ (arr @ X1 @ bool)) != $true) | ! [X2] : (((mem @ X2 @ X1) != $true) | ! [X3] : ((((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) = $true) & (X2 != X3)) | ($true != (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3))))) & (($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3)))) | (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) != $true) | (X2 = X3)))) | ((mem @ X3 @ X1) != $true))))), 0.21/0.49 inference(nnf_transformation,[],[f79])). 0.21/0.49 thf(f79,plain,( 0.21/0.49 ! [X0,X1 : del] : (((mem @ X0 @ (arr @ X1 @ bool)) != $true) | ! [X2] : (((mem @ X2 @ X1) != $true) | ! [X3] : (((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) = $true) & (X2 != X3)) <=> ($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3))))) | ((mem @ X3 @ X1) != $true))))), 0.21/0.49 inference(ennf_transformation,[],[f54])). 0.21/0.49 thf(f54,plain,( 0.21/0.49 ! [X0,X1 : del] : (((mem @ X0 @ (arr @ X1 @ bool)) = $true) => ! [X2] : (((mem @ X2 @ X1) = $true) => ! [X3] : (((mem @ X3 @ X1) = $true) => ((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) = $true) & (X2 != X3)) <=> ($true = (p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3))))))))), 0.21/0.49 inference(fool_elimination,[],[f53])). 0.21/0.49 thf(f53,plain,( 0.21/0.49 ! [X0,X1 : del] : ((mem @ X0 @ (arr @ X1 @ bool)) => ! [X2] : ((mem @ X2 @ X1) => ! [X3] : ((mem @ X3 @ X1) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X0) @ X3))) <=> ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X2) @ X0)) & (X2 != X3))))))), 0.21/0.49 inference(rectify,[],[f13])). 0.21/0.49 thf(f13,axiom,( 0.21/0.49 ! [X7,X6 : del] : ((mem @ X7 @ (arr @ X6 @ bool)) => ! [X9] : ((mem @ X9 @ X6) => ! [X10] : ((mem @ X10 @ X6) => ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X6) @ X9) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X6) @ X7) @ X10))) <=> ((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X6) @ X9) @ X7)) & (X9 != X10))))))), 0.21/0.49 file('/export/starexec/sandbox2/tmp/tmp.jwz8eFYG5f/Vampire---4.8_13837',conj_thm_2Epred__set_2EIN__DELETE)). 0.21/0.49 thf(f106,plain,( 0.21/0.49 ( ! [X2 : $i,X0 : del,X1 : $i] : (((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)) != $true) | ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X0) @ X1) @ X2)) = $true) | ((mem @ X2 @ (arr @ X0 @ bool)) != $true) | ((mem @ X1 @ (arr @ X0 @ bool)) != $true)) )), 0.21/0.49 inference(cnf_transformation,[],[f94])). 0.21/0.49 thf(f115,plain,( 0.21/0.49 ((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ sK2) @ (ap @ (c_2Epred__set_2EREST @ sK2) @ sK3)) @ sK3)) != $true)), 0.21/0.49 inference(cnf_transformation,[],[f98])). 0.21/0.49 % SZS output end Proof for Vampire---4 0.21/0.49 % (14060)------------------------------ 0.21/0.49 % (14060)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (14060)Termination reason: Refutation 0.21/0.49 0.21/0.49 % (14060)Memory used [KB]: 6140 0.21/0.49 % (14060)Time elapsed: 0.106 s 0.21/0.49 % (14060)Instructions burned: 141 (million) 0.21/0.49 % (14060)------------------------------ 0.21/0.49 % (14060)------------------------------ 0.21/0.49 % (14052)Success in time 0.112 s 0.21/0.49 % Vampire---4.8 exiting 0.21/0.49 EOF