0.07/0.13 % Problem : Vampire---4.8_27923 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.36 % Computer : n020.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 13:07:01 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.37 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.8wGJBFiNJ7/Vampire---4.8_27923 -m 12000 -t 180 0.14/0.38 % (28035)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 % (28036)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 % (28037)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 % (28038)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) 0.14/0.39 % (28034)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) 0.14/0.39 % (28033)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) 0.14/0.39 % (28037)Instruction limit reached! 0.14/0.39 % (28037)------------------------------ 0.14/0.39 % (28037)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (28037)Termination reason: Unknown 0.14/0.39 % (28037)Termination phase: Property scanning 0.14/0.39 0.14/0.39 % (28037)Memory used [KB]: 1023 0.14/0.39 % (28037)Time elapsed: 0.004 s 0.14/0.39 % (28037)Instructions burned: 5 (million) 0.14/0.39 % (28037)------------------------------ 0.14/0.39 % (28037)------------------------------ 0.14/0.39 % (28038)Refutation not found, incomplete strategy 0.14/0.39 % (28038)------------------------------ 0.14/0.39 % (28038)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (28038)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (28038)Memory used [KB]: 5500 0.14/0.39 % (28038)Time elapsed: 0.005 s 0.14/0.39 % (28038)Instructions burned: 5 (million) 0.14/0.39 % (28038)------------------------------ 0.14/0.39 % (28038)------------------------------ 0.14/0.39 % (28031)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.39 % (28035)Instruction limit reached! 0.14/0.39 % (28035)------------------------------ 0.14/0.39 % (28035)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (28035)Termination reason: Unknown 0.14/0.39 % (28035)Termination phase: Saturation 0.14/0.39 0.14/0.39 % (28035)Memory used [KB]: 5628 0.14/0.39 % (28035)Time elapsed: 0.010 s 0.14/0.39 % (28035)Instructions burned: 17 (million) 0.14/0.39 % (28036)First to succeed. 0.14/0.39 % (28035)------------------------------ 0.14/0.39 % (28035)------------------------------ 0.14/0.39 % (28034)Refutation not found, incomplete strategy 0.14/0.39 % (28034)------------------------------ 0.14/0.39 % (28034)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (28034)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (28034)Memory used [KB]: 5628 0.14/0.39 % (28034)Time elapsed: 0.010 s 0.14/0.39 % (28034)Instructions burned: 13 (million) 0.14/0.39 % (28034)------------------------------ 0.14/0.39 % (28034)------------------------------ 0.14/0.39 % (28036)Refutation found. Thanks to Tanya! 0.14/0.39 % SZS status Theorem for Vampire---4 0.14/0.39 % SZS output start Proof for Vampire---4 0.14/0.39 thf(type_def_5, type, mu: $tType). 0.14/0.39 thf(func_def_0, type, mu: $tType). 0.14/0.39 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 0.14/0.39 thf(func_def_2, type, mtrue: $i > $o). 0.14/0.39 thf(func_def_3, type, mfalse: $i > $o). 0.14/0.39 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_6, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_7, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_8, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_9, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_10, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_11, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_12, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_13, type, mforall_indset: ((mu > $i > $o) > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_14, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_15, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_16, type, mexists_indset: ((mu > $i > $o) > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_17, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_18, type, mbox_generic: ($i > $i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_19, type, mdia_generic: ($i > $i > $o) > ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_20, type, rel: $i > $i > $o). 0.14/0.39 thf(func_def_21, type, mbox: ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_22, type, mdia: ($i > $o) > $i > $o). 0.14/0.39 thf(func_def_23, type, mvalid: ($i > $o) > $o). 0.14/0.39 thf(func_def_24, type, minvalid: ($i > $o) > $o). 0.14/0.39 thf(func_def_25, type, positive: (mu > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_26, type, god: mu > $i > $o). 0.14/0.39 thf(func_def_44, type, ph1: !>[X0: $tType]:(X0)). 0.14/0.39 thf(func_def_45, type, sK2: $i > $i). 0.14/0.39 thf(f137,plain,( 0.14/0.39 $false), 0.14/0.39 inference(trivial_inequality_removal,[],[f134])). 0.14/0.39 thf(f134,plain,( 0.14/0.39 ($true = $false)), 0.14/0.39 inference(superposition,[],[f132,f121])). 0.14/0.39 thf(f121,plain,( 0.14/0.39 ( ! [X0 : $i] : (($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ mu @ (^[Y1 : mu]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))) & (rel @ X0 @ Y0)))))) )), 0.14/0.39 inference(boolean_simplification,[],[f120])). 0.14/0.39 thf(f120,plain,( 0.14/0.39 ( ! [X0 : $i] : (($true = ($true => (?? @ $i @ (^[Y0 : $i]: ((?? @ mu @ (^[Y1 : mu]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))) & (rel @ X0 @ Y0))))))) )), 0.14/0.39 inference(beta_eta_normalization,[],[f119])). 0.14/0.39 thf(f119,plain,( 0.14/0.39 ( ! [X0 : $i] : ((($true => (?? @ $i @ (^[Y0 : $i]: ((?? @ mu @ (^[Y1 : mu]: ((^[Y2 : mu]: ((^[Y3 : $i]: (!! @ (mu > $i > $o) @ (^[Y4 : mu > $i > $o]: ((positive @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y1 @ Y0))) & (rel @ X0 @ Y0))))) = $true)) )), 0.14/0.39 inference(superposition,[],[f117,f113])). 0.14/0.39 thf(f113,plain,( 0.14/0.39 ( ! [X1 : $i] : (($true = (positive @ (^[Y0 : mu]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ X1))) )), 0.14/0.39 inference(pi_clausification,[],[f112])). 0.14/0.39 thf(f112,plain,( 0.14/0.39 ($true = (!! @ $i @ (positive @ (^[Y0 : mu]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))))), 0.14/0.39 inference(beta_eta_normalization,[],[f109])). 0.14/0.39 thf(f109,plain,( 0.14/0.39 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (positive @ (^[Y0 : mu]: ((^[Y1 : (mu > $i > $o) > $i > $o]: ((^[Y2 : $i]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ (positive @ Y1) @ (Y1 @ Y0))))))))), 0.14/0.39 inference(definition_unfolding,[],[f100,f78,f106])). 0.14/0.39 thf(f106,plain,( 0.14/0.39 (god = (^[Y0 : mu]: ((^[Y1 : (mu > $i > $o) > $i > $o]: ((^[Y2 : $i]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ (positive @ Y1) @ (Y1 @ Y0))))))), 0.14/0.39 inference(definition_unfolding,[],[f79,f86,f101])). 0.14/0.39 thf(f101,plain,( 0.14/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))), 0.14/0.39 inference(cnf_transformation,[],[f75])). 0.14/0.39 thf(f75,plain,( 0.14/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))), 0.14/0.39 inference(fool_elimination,[],[f74])). 0.14/0.39 thf(f74,plain,( 0.14/0.39 (mimplies = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) => (X1 @ X2))))), 0.14/0.39 inference(rectify,[],[f7])). 0.14/0.39 thf(f7,axiom,( 0.14/0.39 (mimplies = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) => (X4 @ X2))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',mimplies)). 0.14/0.39 thf(f86,plain,( 0.14/0.39 (mforall_indset = (^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))))), 0.14/0.39 inference(cnf_transformation,[],[f71])). 0.14/0.39 thf(f71,plain,( 0.14/0.39 (mforall_indset = (^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))))), 0.14/0.39 inference(fool_elimination,[],[f70])). 0.14/0.39 thf(f70,plain,( 0.14/0.39 (mforall_indset = (^[X0 : (mu > $i > $o) > $i > $o, X1 : $i] : (! [X2 : mu > $i > $o] : (X0 @ X2 @ X1))))), 0.14/0.39 inference(rectify,[],[f12])). 0.14/0.39 thf(f12,axiom,( 0.14/0.39 (mforall_indset = (^[X3 : (mu > $i > $o) > $i > $o, X2 : $i] : (! [X0 : mu > $i > $o] : (X3 @ X0 @ X2))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',mforall_indset)). 0.14/0.39 thf(f79,plain,( 0.14/0.39 (god = (^[Y0 : mu]: (mforall_indset @ (^[Y1 : mu > $i > $o]: (mimplies @ (positive @ Y1) @ (Y1 @ Y0))))))), 0.14/0.39 inference(cnf_transformation,[],[f77])). 0.14/0.39 thf(f77,plain,( 0.14/0.39 (god = (^[Y0 : mu]: (mforall_indset @ (^[Y1 : mu > $i > $o]: (mimplies @ (positive @ Y1) @ (Y1 @ Y0))))))), 0.14/0.39 inference(fool_elimination,[],[f76])). 0.14/0.39 thf(f76,plain,( 0.14/0.39 (god = (^[X0 : mu] : (mforall_indset @ (^[X1 : mu > $i > $o] : (mimplies @ (positive @ X1) @ (X1 @ X0))))))), 0.14/0.39 inference(rectify,[],[f23])). 0.14/0.39 thf(f23,axiom,( 0.14/0.39 (god = (^[X0 : mu] : (mforall_indset @ (^[X3 : mu > $i > $o] : (mimplies @ (positive @ X3) @ (X3 @ X0))))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',defD1)). 0.14/0.39 thf(f78,plain,( 0.14/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.14/0.39 inference(cnf_transformation,[],[f43])). 0.14/0.39 thf(f43,plain,( 0.14/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.14/0.39 inference(fool_elimination,[],[f42])). 0.14/0.39 thf(f42,plain,( 0.14/0.39 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 0.14/0.39 inference(rectify,[],[f21])). 0.14/0.39 thf(f21,axiom,( 0.14/0.39 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',mvalid)). 0.14/0.39 thf(f100,plain,( 0.14/0.39 ((mvalid @ (positive @ god)) = $true)), 0.14/0.39 inference(cnf_transformation,[],[f55])). 0.14/0.39 thf(f55,plain,( 0.14/0.39 ((mvalid @ (positive @ god)) = $true)), 0.14/0.39 inference(fool_elimination,[],[f54])). 0.14/0.39 thf(f54,plain,( 0.14/0.39 (mvalid @ (positive @ god))), 0.14/0.39 inference(rectify,[],[f24])). 0.14/0.39 thf(f24,axiom,( 0.14/0.39 (mvalid @ (positive @ god))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',axA3)). 0.14/0.39 thf(f117,plain,( 0.14/0.39 ( ! [X2 : mu > $i > $o,X1 : $i] : (($true = ((positive @ X2 @ X1) => (?? @ $i @ (^[Y0 : $i]: ((?? @ mu @ (^[Y1 : mu]: (X2 @ Y1 @ Y0))) & (rel @ X1 @ Y0))))))) )), 0.14/0.39 inference(beta_eta_normalization,[],[f116])). 0.14/0.39 thf(f116,plain,( 0.14/0.39 ( ! [X2 : mu > $i > $o,X1 : $i] : (($true = ((^[Y0 : mu > $i > $o]: ((positive @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1))) & (rel @ X1 @ Y1)))))) @ X2))) )), 0.14/0.39 inference(pi_clausification,[],[f115])). 0.14/0.39 thf(f115,plain,( 0.14/0.39 ( ! [X1 : $i] : (($true = (!! @ (mu > $i > $o) @ (^[Y0 : mu > $i > $o]: ((positive @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1))) & (rel @ X1 @ Y1))))))))) )), 0.14/0.39 inference(beta_eta_normalization,[],[f114])). 0.14/0.39 thf(f114,plain,( 0.14/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((?? @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2))) & (rel @ Y0 @ Y2)))))))) @ X1))) )), 0.14/0.39 inference(pi_clausification,[],[f111])). 0.14/0.39 thf(f111,plain,( 0.14/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ (mu > $i > $o) @ (^[Y1 : mu > $i > $o]: ((positive @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((?? @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2))) & (rel @ Y0 @ Y2))))))))))), 0.14/0.39 inference(beta_eta_normalization,[],[f108])). 0.14/0.39 thf(f108,plain,( 0.14/0.39 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : (mu > $i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3))))))) @ (positive @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) & (Y1 @ Y3 @ Y4))))))))) @ rel @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (?? @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: (Y0 @ Y1)))))))))), 0.14/0.39 inference(definition_unfolding,[],[f96,f78,f86,f101,f105,f89])). 0.14/0.39 thf(f89,plain,( 0.14/0.39 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 0.14/0.39 inference(cnf_transformation,[],[f30])). 0.14/0.39 thf(f30,plain,( 0.14/0.39 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 0.14/0.39 inference(fool_elimination,[],[f29])). 0.14/0.39 thf(f29,plain,( 0.14/0.39 (mexists_ind = (^[X0 : mu > $i > $o, X1 : $i] : (? [X2 : mu] : (X0 @ X2 @ X1))))), 0.14/0.39 inference(rectify,[],[f14])). 0.14/0.39 thf(f14,axiom,( 0.14/0.39 (mexists_ind = (^[X3 : mu > $i > $o, X2 : $i] : (? [X0 : mu] : (X3 @ X0 @ X2))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',mexists_ind)). 0.14/0.39 thf(f105,plain,( 0.14/0.39 (mdia = ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))))) @ rel))), 0.14/0.39 inference(definition_unfolding,[],[f94,f103])). 0.14/0.39 thf(f103,plain,( 0.14/0.39 (mdia_generic = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))))))), 0.14/0.39 inference(cnf_transformation,[],[f32])). 0.14/0.39 thf(f32,plain,( 0.14/0.39 (mdia_generic = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))))))), 0.14/0.39 inference(fool_elimination,[],[f31])). 0.14/0.39 thf(f31,plain,( 0.14/0.39 (mdia_generic = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (? [X3] : ((X0 @ X2 @ X3) & (X1 @ X3)))))), 0.14/0.39 inference(rectify,[],[f18])). 0.14/0.39 thf(f18,axiom,( 0.14/0.39 (mdia_generic = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (? [X7] : ((X6 @ X2 @ X7) & (X3 @ X7)))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',mdia_generic)). 0.14/0.39 thf(f94,plain,( 0.14/0.39 (mdia = (mdia_generic @ rel))), 0.14/0.39 inference(cnf_transformation,[],[f65])). 0.14/0.39 thf(f65,plain,( 0.14/0.39 (mdia = (mdia_generic @ rel))), 0.14/0.39 inference(fool_elimination,[],[f20])). 0.14/0.39 thf(f20,axiom,( 0.14/0.39 (mdia = (mdia_generic @ rel))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',mdia)). 0.14/0.39 thf(f96,plain,( 0.14/0.39 ($true = (mvalid @ (mforall_indset @ (^[Y0 : mu > $i > $o]: (mimplies @ (positive @ Y0) @ (mdia @ (mexists_ind @ (^[Y1 : mu]: (Y0 @ Y1)))))))))), 0.14/0.39 inference(cnf_transformation,[],[f53])). 0.14/0.39 thf(f53,plain,( 0.14/0.39 ($true = (mvalid @ (mforall_indset @ (^[Y0 : mu > $i > $o]: (mimplies @ (positive @ Y0) @ (mdia @ (mexists_ind @ (^[Y1 : mu]: (Y0 @ Y1)))))))))), 0.14/0.39 inference(fool_elimination,[],[f52])). 0.14/0.40 thf(f52,plain,( 0.14/0.40 (mvalid @ (mforall_indset @ (^[X0 : mu > $i > $o] : (mimplies @ (positive @ X0) @ (mdia @ (mexists_ind @ (^[X1 : mu] : (X0 @ X1))))))))), 0.14/0.40 inference(rectify,[],[f25])). 0.14/0.40 thf(f25,axiom,( 0.14/0.40 (mvalid @ (mforall_indset @ (^[X3 : mu > $i > $o] : (mimplies @ (positive @ X3) @ (mdia @ (mexists_ind @ (^[X0 : mu] : (X3 @ X0))))))))), 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',thmT1)). 0.14/0.40 thf(f132,plain,( 0.14/0.40 ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ mu @ (^[Y1 : mu]: (!! @ (mu > $i > $o) @ (^[Y2 : mu > $i > $o]: ((positive @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))) & (rel @ sK3 @ Y0)))))), 0.14/0.40 inference(beta_eta_normalization,[],[f131])). 0.14/0.40 thf(f131,plain,( 0.14/0.40 (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ mu @ (^[Y2 : mu]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: ((positive @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))))) & (rel @ Y0 @ Y1))))) @ sK3) = $false)), 0.14/0.40 inference(sigma_clausification,[],[f124])). 0.14/0.40 thf(f124,plain,( 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ mu @ (^[Y2 : mu]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: ((positive @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))))) & (rel @ Y0 @ Y1)))))) = $false)), 0.14/0.40 inference(not_proxy_clausification,[],[f110])). 0.14/0.40 thf(f110,plain,( 0.14/0.40 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ mu @ (^[Y2 : mu]: (!! @ (mu > $i > $o) @ (^[Y3 : mu > $i > $o]: ((positive @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))))) & (rel @ Y0 @ Y1))))))))), 0.14/0.40 inference(beta_eta_normalization,[],[f107])). 0.14/0.40 thf(f107,plain,( 0.14/0.40 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3))))))))) @ rel @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (?? @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : (mu > $i > $o) > $i > $o]: ((^[Y3 : $i]: (!! @ (mu > $i > $o) @ (^[Y4 : mu > $i > $o]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (positive @ Y2) @ (Y2 @ Y1))))) @ Y0)))))))), 0.14/0.40 inference(definition_unfolding,[],[f91,f78,f105,f89,f106])). 0.14/0.40 thf(f91,plain,( 0.14/0.40 ($true = (~ (mvalid @ (mdia @ (mexists_ind @ (^[Y0 : mu]: (god @ Y0)))))))), 0.14/0.40 inference(cnf_transformation,[],[f37])). 0.14/0.40 thf(f37,plain,( 0.14/0.40 ($true = (~ (mvalid @ (mdia @ (mexists_ind @ (^[Y0 : mu]: (god @ Y0)))))))), 0.14/0.40 inference(fool_elimination,[],[f36])). 0.14/0.40 thf(f36,plain,( 0.14/0.40 ~(mvalid @ (mdia @ (mexists_ind @ (^[X0 : mu] : (god @ X0)))))), 0.14/0.40 inference(rectify,[],[f27])). 0.14/0.40 thf(f27,negated_conjecture,( 0.14/0.40 ~(mvalid @ (mdia @ (mexists_ind @ (^[X0 : mu] : (god @ X0)))))), 0.14/0.40 inference(negated_conjecture,[],[f26])). 0.14/0.40 thf(f26,conjecture,( 0.14/0.40 (mvalid @ (mdia @ (mexists_ind @ (^[X0 : mu] : (god @ X0)))))), 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.8wGJBFiNJ7/Vampire---4.8_27923',corC)). 0.14/0.40 % SZS output end Proof for Vampire---4 0.14/0.40 % (28036)------------------------------ 0.14/0.40 % (28036)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (28036)Termination reason: Refutation 0.14/0.40 0.14/0.40 % (28036)Memory used [KB]: 5756 0.14/0.40 % (28036)Time elapsed: 0.012 s 0.14/0.40 % (28036)Instructions burned: 14 (million) 0.14/0.40 % (28036)------------------------------ 0.14/0.40 % (28036)------------------------------ 0.14/0.40 % (28030)Success in time 0.022 s 0.14/0.40 % Vampire---4.8 exiting 0.14/0.40 EOF