0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : run_vampire %s %d THM 0.09/0.29 % Computer : n008.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1440 0.09/0.29 % WCLimit : 180 0.09/0.29 % DateTime : Thu Jul 4 07:09:23 EDT 2024 0.09/0.29 % CPUTime : 0.09/0.30 This is a THF_ problem 0.09/0.31 Running higher-order theorem proving 0.09/0.31 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.pWypIS5J7S/E---3.1_29674.p -m 16384 -t 180 0.16/0.33 % (29782)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/183Mi) 0.16/0.33 % (29787)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_29674 for (1799ds/275Mi) 0.16/0.33 % (29783)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_29674 for (1799ds/4Mi) 0.16/0.33 % (29786)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_29674 for (1799ds/2Mi) 0.16/0.33 % (29789)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/18Mi) 0.16/0.33 % (29784)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_29674 for (1799ds/27Mi) 0.16/0.33 % (29785)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/2Mi) 0.16/0.33 % (29784)Refutation not found, incomplete strategy 0.16/0.33 % (29784)------------------------------ 0.16/0.33 % (29784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.33 % (29784)Termination reason: Refutation not found, incomplete strategy 0.16/0.33 0.16/0.33 0.16/0.33 % (29784)Memory used [KB]: 5500 0.16/0.33 % (29784)Time elapsed: 0.002 s 0.16/0.33 % (29784)Instructions burned: 1 (million) 0.16/0.33 % (29784)------------------------------ 0.16/0.33 % (29784)------------------------------ 0.16/0.33 % (29785)Instruction limit reached! 0.16/0.33 % (29785)------------------------------ 0.16/0.33 % (29785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.33 % (29785)Termination reason: Unknown 0.16/0.33 % (29785)Termination phase: Saturation 0.16/0.33 % (29786)Instruction limit reached! 0.16/0.33 % (29786)------------------------------ 0.16/0.33 % (29786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.33 % (29786)Termination reason: Unknown 0.16/0.33 % (29786)Termination phase: Saturation 0.16/0.33 0.16/0.33 % (29786)Memory used [KB]: 5500 0.16/0.33 % (29786)Time elapsed: 0.004 s 0.16/0.33 % (29786)Instructions burned: 3 (million) 0.16/0.33 % (29786)------------------------------ 0.16/0.33 % (29786)------------------------------ 0.16/0.33 0.16/0.33 % (29785)Memory used [KB]: 5500 0.16/0.33 % (29785)Time elapsed: 0.003 s 0.16/0.33 % (29785)Instructions burned: 2 (million) 0.16/0.33 % (29785)------------------------------ 0.16/0.33 % (29785)------------------------------ 0.16/0.33 % (29783)Instruction limit reached! 0.16/0.33 % (29783)------------------------------ 0.16/0.33 % (29783)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.33 % (29783)Termination reason: Unknown 0.16/0.33 % (29783)Termination phase: Saturation 0.16/0.33 0.16/0.33 % (29783)Memory used [KB]: 5500 0.16/0.33 % (29783)Time elapsed: 0.005 s 0.16/0.33 % (29783)Instructions burned: 4 (million) 0.16/0.33 % (29783)------------------------------ 0.16/0.33 % (29783)------------------------------ 0.16/0.33 % (29787)Refutation not found, incomplete strategy 0.16/0.33 % (29787)------------------------------ 0.16/0.33 % (29787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.33 % (29787)Termination reason: Refutation not found, incomplete strategy 0.16/0.33 0.16/0.33 0.16/0.33 % (29787)Memory used [KB]: 5500 0.16/0.33 % (29787)Time elapsed: 0.005 s 0.16/0.33 % (29787)Instructions burned: 4 (million) 0.16/0.33 % (29787)------------------------------ 0.16/0.33 % (29787)------------------------------ 0.16/0.34 % (29789)Instruction limit reached! 0.16/0.34 % (29789)------------------------------ 0.16/0.34 % (29789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (29789)Termination reason: Unknown 0.16/0.34 % (29789)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (29789)Memory used [KB]: 5628 0.16/0.34 % (29789)Time elapsed: 0.012 s 0.16/0.34 % (29789)Instructions burned: 18 (million) 0.16/0.34 % (29789)------------------------------ 0.16/0.34 % (29789)------------------------------ 0.16/0.35 % (29790)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_29674 for (1799ds/3Mi) 0.16/0.35 % (29791)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_29674 for (1799ds/37Mi) 0.16/0.35 % (29792)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_29674 for (1799ds/15Mi) 0.16/0.35 % (29793)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_29674 for (1799ds/3Mi) 0.16/0.35 % (29794)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_29674 for (1799ds/1041Mi) 0.16/0.35 % (29793)Refutation not found, incomplete strategy 0.16/0.35 % (29793)------------------------------ 0.16/0.35 % (29793)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (29793)Termination reason: Refutation not found, incomplete strategy 0.16/0.35 0.16/0.35 0.16/0.35 % (29793)Memory used [KB]: 5373 0.16/0.35 % (29793)Time elapsed: 0.003 s 0.16/0.35 % (29793)Instructions burned: 1 (million) 0.16/0.35 % (29793)------------------------------ 0.16/0.35 % (29793)------------------------------ 0.16/0.35 % (29790)Instruction limit reached! 0.16/0.35 % (29790)------------------------------ 0.16/0.35 % (29790)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (29790)Termination reason: Unknown 0.16/0.35 % (29790)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (29790)Memory used [KB]: 5500 0.16/0.35 % (29790)Time elapsed: 0.004 s 0.16/0.35 % (29790)Instructions burned: 4 (million) 0.16/0.35 % (29790)------------------------------ 0.16/0.35 % (29790)------------------------------ 0.16/0.35 % (29792)Refutation not found, incomplete strategy 0.16/0.35 % (29792)------------------------------ 0.16/0.35 % (29792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (29792)Termination reason: Refutation not found, incomplete strategy 0.16/0.35 0.16/0.35 0.16/0.35 % (29792)Memory used [KB]: 5500 0.16/0.35 % (29792)Time elapsed: 0.006 s 0.16/0.35 % (29792)Instructions burned: 6 (million) 0.16/0.35 % (29792)------------------------------ 0.16/0.35 % (29792)------------------------------ 0.16/0.35 % (29795)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/7Mi) 0.16/0.36 % (29795)Instruction limit reached! 0.16/0.36 % (29795)------------------------------ 0.16/0.36 % (29795)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (29795)Termination reason: Unknown 0.16/0.36 % (29795)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (29795)Memory used [KB]: 1023 0.16/0.36 % (29795)Time elapsed: 0.006 s 0.16/0.36 % (29795)Instructions burned: 7 (million) 0.16/0.36 % (29795)------------------------------ 0.16/0.36 % (29795)------------------------------ 0.16/0.36 % (29796)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/16Mi) 0.16/0.36 % (29794)Refutation not found, incomplete strategy 0.16/0.36 % (29794)------------------------------ 0.16/0.36 % (29794)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (29794)Termination reason: Refutation not found, incomplete strategy 0.16/0.36 0.16/0.36 0.16/0.36 % (29794)Memory used [KB]: 5628 0.16/0.36 % (29794)Time elapsed: 0.016 s 0.16/0.36 % (29794)Instructions burned: 25 (million) 0.16/0.36 % (29794)------------------------------ 0.16/0.36 % (29794)------------------------------ 0.16/0.36 % (29797)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/3Mi) 0.16/0.36 % (29798)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/3Mi) 0.16/0.36 % (29797)Instruction limit reached! 0.16/0.36 % (29797)------------------------------ 0.16/0.36 % (29797)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (29797)Termination reason: Unknown 0.16/0.36 % (29797)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (29797)Memory used [KB]: 5500 0.16/0.36 % (29797)Time elapsed: 0.004 s 0.16/0.36 % (29797)Instructions burned: 4 (million) 0.16/0.36 % (29797)------------------------------ 0.16/0.36 % (29797)------------------------------ 0.16/0.36 % (29798)Instruction limit reached! 0.16/0.36 % (29798)------------------------------ 0.16/0.36 % (29798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (29798)Termination reason: Unknown 0.16/0.36 % (29798)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (29798)Memory used [KB]: 1023 0.16/0.36 % (29798)Time elapsed: 0.003 s 0.16/0.36 % (29798)Instructions burned: 3 (million) 0.16/0.36 % (29798)------------------------------ 0.16/0.36 % (29798)------------------------------ 0.16/0.36 % (29791)Instruction limit reached! 0.16/0.36 % (29791)------------------------------ 0.16/0.36 % (29791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (29791)Termination reason: Unknown 0.16/0.36 % (29791)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (29791)Memory used [KB]: 5756 0.16/0.36 % (29791)Time elapsed: 0.021 s 0.16/0.36 % (29791)Instructions burned: 37 (million) 0.16/0.36 % (29791)------------------------------ 0.16/0.36 % (29791)------------------------------ 0.16/0.37 % (29796)Instruction limit reached! 0.16/0.37 % (29796)------------------------------ 0.16/0.37 % (29796)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (29796)Termination reason: Unknown 0.16/0.37 % (29796)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (29796)Memory used [KB]: 5628 0.16/0.37 % (29796)Time elapsed: 0.011 s 0.16/0.37 % (29796)Instructions burned: 16 (million) 0.16/0.37 % (29796)------------------------------ 0.16/0.37 % (29796)------------------------------ 0.16/0.37 % (29800)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/7Mi) 0.16/0.38 % (29801)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/3Mi) 0.16/0.38 % (29800)First to succeed. 0.16/0.38 % (29802)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/4Mi) 0.16/0.38 % (29801)Instruction limit reached! 0.16/0.38 % (29801)------------------------------ 0.16/0.38 % (29801)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (29801)Termination reason: Unknown 0.16/0.38 % (29801)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (29801)Memory used [KB]: 5500 0.16/0.38 % (29801)Time elapsed: 0.004 s 0.16/0.38 % (29801)Instructions burned: 3 (million) 0.16/0.38 % (29801)------------------------------ 0.16/0.38 % (29801)------------------------------ 0.16/0.38 % (29803)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_29674 for (1799ds/18Mi) 0.16/0.38 % (29800)Refutation found. Thanks to Tanya! 0.16/0.38 % SZS status Theorem for E---3.1_29674 0.16/0.38 % SZS output start Proof for E---3.1_29674 0.16/0.38 thf(type_def_5, type, a: $tType). 0.16/0.38 thf(func_def_0, type, a: $tType). 0.16/0.38 thf(func_def_4, type, sK0: a > a > $o). 0.16/0.38 thf(func_def_5, type, sK1: (a > $o) > a). 0.16/0.38 thf(f98,plain,( 0.16/0.38 $false), 0.16/0.38 inference(trivial_inequality_removal,[],[f97])). 0.16/0.38 thf(f97,plain,( 0.16/0.38 ($true = $false)), 0.16/0.38 inference(backward_demodulation,[],[f93,f96])). 0.16/0.38 thf(f96,plain,( 0.16/0.38 ((sK0 @ (sK1 @ (^[Y0 : a]: (~ (sK0 @ Y0 @ Y0)))) @ (sK1 @ (^[Y0 : a]: (~ (sK0 @ Y0 @ Y0))))) = $false)), 0.16/0.38 inference(beta_eta_normalization,[],[f95])). 0.16/0.38 thf(f95,plain,( 0.16/0.38 ($false = ((^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0))) @ (sK1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK0 @ ((^[Y2 : a]: (Y2)) @ Y1) @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))))), 0.16/0.38 inference(trivial_inequality_removal,[],[f94])). 0.16/0.38 thf(f94,plain,( 0.16/0.38 ($false = ((^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0))) @ (sK1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK0 @ ((^[Y2 : a]: (Y2)) @ Y1) @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0)))))) | ($false != $false)), 0.16/0.38 inference(equality_factoring,[],[f89])). 0.16/0.38 thf(f89,plain,( 0.16/0.38 ( ! [X1 : a,X4 : a > $o] : (((sK0 @ (sK1 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = $false) | ($false = (X4 @ X1))) )), 0.16/0.38 inference(boolean_simplification,[],[f86])). 0.16/0.38 thf(f86,plain,( 0.16/0.38 ( ! [X1 : a,X4 : a > $o] : (($false = (X4 @ X1)) | ((sK0 @ (sK1 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = (~ $true))) )), 0.16/0.38 inference(cases_simplifying,[],[f85])). 0.16/0.38 thf(f85,plain,( 0.16/0.38 ( ! [X1 : a,X4 : a > $o] : (((sK0 @ (sK1 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = (~ (X4 @ X1)))) )), 0.16/0.38 inference(beta_eta_normalization,[],[f83])). 0.16/0.38 thf(f83,plain,( 0.16/0.38 ( ! [X1 : a,X4 : a > $o] : (((sK0 @ (sK1 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = ((^[Y0 : a]: (~ (X4 @ Y0))) @ X1))) )), 0.16/0.38 inference(primitive_instantiation,[],[f49])). 0.16/0.38 thf(f49,plain,( 0.16/0.38 ( ! [X0 : a > $o,X1 : a] : (((sK0 @ (sK1 @ X0) @ X1) = (X0 @ X1))) )), 0.16/0.38 inference(argument_congruence,[],[f12])). 0.16/0.38 thf(f12,plain,( 0.16/0.38 ( ! [X0 : a > $o] : (((sK0 @ (sK1 @ X0)) = X0)) )), 0.16/0.38 inference(leibniz_equality_elimination,[],[f11])). 0.16/0.38 thf(f11,plain,( 0.16/0.38 ( ! [X3 : (a > $o) > $o,X1 : a > $o] : (($true != (X3 @ (sK0 @ (sK1 @ X1)))) | ((X3 @ X1) = $true)) )), 0.16/0.38 inference(cnf_transformation,[],[f10])). 0.16/0.38 thf(f10,plain,( 0.16/0.38 ! [X1 : a > $o] : ! [X3 : (a > $o) > $o] : (($true != (X3 @ (sK0 @ (sK1 @ X1)))) | ((X3 @ X1) = $true))), 0.16/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8])). 0.16/0.38 thf(f8,plain,( 0.16/0.38 ? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : (((X3 @ (X0 @ X2)) != $true) | ((X3 @ X1) = $true)) => ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : (($true != (X3 @ (sK0 @ X2))) | ((X3 @ X1) = $true))), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 thf(f9,plain,( 0.16/0.38 ! [X1 : a > $o] : (? [X2 : a] : ! [X3 : (a > $o) > $o] : (($true != (X3 @ (sK0 @ X2))) | ((X3 @ X1) = $true)) => ! [X3 : (a > $o) > $o] : (($true != (X3 @ (sK0 @ (sK1 @ X1)))) | ((X3 @ X1) = $true)))), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 thf(f7,plain,( 0.16/0.38 ? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : (((X3 @ (X0 @ X2)) != $true) | ((X3 @ X1) = $true))), 0.16/0.38 inference(ennf_transformation,[],[f6])). 0.16/0.38 thf(f6,plain,( 0.16/0.38 ? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : (((X3 @ (X0 @ X2)) = $true) => ((X3 @ X1) = $true))), 0.16/0.38 inference(flattening,[],[f5])). 0.16/0.38 thf(f5,plain,( 0.16/0.38 ~~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : (((X3 @ (X0 @ X2)) = $true) => ((X3 @ X1) = $true))), 0.16/0.38 inference(fool_elimination,[],[f4])). 0.16/0.38 thf(f4,plain,( 0.16/0.38 ~~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : ((X3 @ (X0 @ X2)) => (X3 @ X1))), 0.16/0.38 inference(rectify,[],[f2])). 0.16/0.38 thf(f2,negated_conjecture,( 0.16/0.38 ~~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : ((X3 @ (X0 @ X2)) => (X3 @ X1))), 0.16/0.38 inference(negated_conjecture,[],[f1])). 0.16/0.38 thf(f1,conjecture,( 0.16/0.38 ~? [X0 : a > a > $o] : ! [X1 : a > $o] : ? [X2 : a] : ! [X3 : (a > $o) > $o] : ((X3 @ (X0 @ X2)) => (X3 @ X1))), 0.16/0.38 file('/export/starexec/sandbox/tmp/tmp.pWypIS5J7S/E---3.1_29674.p',cCT29)). 0.16/0.38 thf(f93,plain,( 0.16/0.38 ($true = (sK0 @ (sK1 @ (^[Y0 : a]: (~ (sK0 @ Y0 @ Y0)))) @ (sK1 @ (^[Y0 : a]: (~ (sK0 @ Y0 @ Y0))))))), 0.16/0.38 inference(beta_eta_normalization,[],[f92])). 0.16/0.38 thf(f92,plain,( 0.16/0.38 ($true = ((^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0))) @ (sK1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK0 @ ((^[Y2 : a]: (Y2)) @ Y1) @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))))), 0.16/0.38 inference(trivial_inequality_removal,[],[f91])). 0.16/0.38 thf(f91,plain,( 0.16/0.38 ($true != $true) | ($true = ((^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0))) @ (sK1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (sK0 @ ((^[Y2 : a]: (Y2)) @ Y1) @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))))), 0.16/0.38 inference(equality_factoring,[],[f88])). 0.16/0.38 thf(f88,plain,( 0.16/0.38 ( ! [X1 : a,X4 : a > $o] : (($true = (sK0 @ (sK1 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1)) | ($true = (X4 @ X1))) )), 0.16/0.38 inference(boolean_simplification,[],[f87])). 0.16/0.38 thf(f87,plain,( 0.16/0.38 ( ! [X1 : a,X4 : a > $o] : (((sK0 @ (sK1 @ (^[Y0 : a]: (~ (X4 @ Y0)))) @ X1) = (~ $false)) | ($true = (X4 @ X1))) )), 0.16/0.38 inference(cases_simplifying,[],[f85])). 0.16/0.38 % SZS output end Proof for E---3.1_29674 0.16/0.38 % (29800)------------------------------ 0.16/0.38 % (29800)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (29800)Termination reason: Refutation 0.16/0.38 0.16/0.38 % (29800)Memory used [KB]: 5500 0.16/0.38 % (29800)Time elapsed: 0.005 s 0.16/0.38 % (29800)Instructions burned: 4 (million) 0.16/0.38 % (29800)------------------------------ 0.16/0.38 % (29800)------------------------------ 0.16/0.38 % (29781)Success in time 0.05 s 0.16/0.38 EOF