0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.10 % Command : run_vampire %s %d THM 0.10/0.30 % Computer : n020.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1440 0.10/0.30 % WCLimit : 180 0.10/0.30 % DateTime : Thu Jul 4 10:14:39 EDT 2024 0.10/0.30 % CPUTime : 0.16/0.32 This is a THF_ problem 0.16/0.32 Running higher-order theorem proving 0.16/0.32 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.0KhhM5Rfkg/E---3.1_28210.p -m 16384 -t 180 0.16/0.34 % (28320)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_28210 for (1799ds/27Mi) 0.16/0.34 % (28322)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_28210 for (1799ds/2Mi) 0.16/0.34 % (28324)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_28210 for (1799ds/18Mi) 0.16/0.34 % (28318)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_28210 for (1799ds/183Mi) 0.16/0.34 % (28323)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_28210 for (1799ds/275Mi) 0.16/0.34 % (28319)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_28210 for (1799ds/4Mi) 0.16/0.34 % (28322)Instruction limit reached! 0.16/0.34 % (28322)------------------------------ 0.16/0.34 % (28322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (28322)Termination reason: Unknown 0.16/0.34 % (28322)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (28321)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_28210 for (1799ds/2Mi) 0.16/0.34 % (28322)Memory used [KB]: 5500 0.16/0.34 % (28322)Time elapsed: 0.003 s 0.16/0.34 % (28322)Instructions burned: 2 (million) 0.16/0.34 % (28322)------------------------------ 0.16/0.34 % (28322)------------------------------ 0.16/0.34 % (28321)Instruction limit reached! 0.16/0.34 % (28321)------------------------------ 0.16/0.34 % (28321)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (28321)Termination reason: Unknown 0.16/0.34 % (28321)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (28321)Memory used [KB]: 5373 0.16/0.34 % (28321)Time elapsed: 0.003 s 0.16/0.34 % (28321)Instructions burned: 2 (million) 0.16/0.34 % (28321)------------------------------ 0.16/0.34 % (28321)------------------------------ 0.16/0.35 % (28319)Instruction limit reached! 0.16/0.35 % (28319)------------------------------ 0.16/0.35 % (28319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (28319)Termination reason: Unknown 0.16/0.35 % (28319)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (28319)Memory used [KB]: 5500 0.16/0.35 % (28319)Time elapsed: 0.005 s 0.16/0.35 % (28319)Instructions burned: 5 (million) 0.16/0.35 % (28319)------------------------------ 0.16/0.35 % (28319)------------------------------ 0.16/0.35 % (28324)Instruction limit reached! 0.16/0.35 % (28324)------------------------------ 0.16/0.35 % (28324)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (28324)Termination reason: Unknown 0.16/0.35 % (28324)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (28324)Memory used [KB]: 5628 0.16/0.35 % (28324)Time elapsed: 0.012 s 0.16/0.35 % (28324)Instructions burned: 18 (million) 0.16/0.35 % (28324)------------------------------ 0.16/0.35 % (28324)------------------------------ 0.16/0.35 % (28320)Instruction limit reached! 0.16/0.35 % (28320)------------------------------ 0.16/0.35 % (28320)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (28320)Termination reason: Unknown 0.16/0.35 % (28320)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (28320)Memory used [KB]: 5628 0.16/0.35 % (28320)Time elapsed: 0.016 s 0.16/0.35 % (28320)Instructions burned: 28 (million) 0.16/0.35 % (28320)------------------------------ 0.16/0.35 % (28320)------------------------------ 0.16/0.36 % (28325)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_28210 for (1799ds/3Mi) 0.16/0.36 % (28326)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_28210 for (1799ds/37Mi) 0.17/0.36 % (28327)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_28210 for (1799ds/15Mi) 0.17/0.36 % (28325)Instruction limit reached! 0.17/0.36 % (28325)------------------------------ 0.17/0.36 % (28325)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.36 % (28325)Termination reason: Unknown 0.17/0.36 % (28325)Termination phase: Saturation 0.17/0.36 0.17/0.36 % (28325)Memory used [KB]: 5500 0.17/0.36 % (28325)Time elapsed: 0.005 s 0.17/0.36 % (28325)Instructions burned: 4 (million) 0.17/0.36 % (28325)------------------------------ 0.17/0.36 % (28325)------------------------------ 0.17/0.37 % (28328)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_28210 for (1799ds/3Mi) 0.17/0.37 % (28329)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_28210 for (1799ds/1041Mi) 0.17/0.37 % (28327)Instruction limit reached! 0.17/0.37 % (28327)------------------------------ 0.17/0.37 % (28327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.37 % (28327)Termination reason: Unknown 0.17/0.37 % (28327)Termination phase: Saturation 0.17/0.37 0.17/0.37 % (28327)Memory used [KB]: 5628 0.17/0.37 % (28327)Time elapsed: 0.011 s 0.17/0.37 % (28327)Instructions burned: 15 (million) 0.17/0.37 % (28327)------------------------------ 0.17/0.37 % (28327)------------------------------ 0.17/0.37 % (28328)Refutation not found, incomplete strategy 0.17/0.37 % (28328)------------------------------ 0.17/0.37 % (28328)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.37 % (28328)Termination reason: Refutation not found, incomplete strategy 0.17/0.37 0.17/0.37 0.17/0.37 % (28328)Memory used [KB]: 5500 0.17/0.37 % (28328)Time elapsed: 0.003 s 0.17/0.37 % (28328)Instructions burned: 2 (million) 0.17/0.37 % (28328)------------------------------ 0.17/0.37 % (28328)------------------------------ 0.17/0.37 % (28330)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_28210 for (1799ds/7Mi) 0.17/0.38 % (28326)Instruction limit reached! 0.17/0.38 % (28326)------------------------------ 0.17/0.38 % (28326)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (28326)Termination reason: Unknown 0.17/0.38 % (28326)Termination phase: Saturation 0.17/0.38 0.17/0.38 % (28326)Memory used [KB]: 5756 0.17/0.38 % (28326)Time elapsed: 0.021 s 0.17/0.38 % (28326)Instructions burned: 37 (million) 0.17/0.38 % (28326)------------------------------ 0.17/0.38 % (28326)------------------------------ 0.17/0.38 % (28329)First to succeed. 0.17/0.38 % (28330)Instruction limit reached! 0.17/0.38 % (28330)------------------------------ 0.17/0.38 % (28330)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (28330)Termination reason: Unknown 0.17/0.38 % (28330)Termination phase: Saturation 0.17/0.38 0.17/0.38 % (28330)Memory used [KB]: 1023 0.17/0.38 % (28330)Time elapsed: 0.006 s 0.17/0.38 % (28330)Instructions burned: 8 (million) 0.17/0.38 % (28330)------------------------------ 0.17/0.38 % (28330)------------------------------ 0.17/0.38 % (28329)Refutation found. Thanks to Tanya! 0.17/0.38 % SZS status Theorem for E---3.1_28210 0.17/0.38 % SZS output start Proof for E---3.1_28210 0.17/0.38 thf(func_def_1, type, cDOUBLE: $i > $i > $o). 0.17/0.38 thf(func_def_2, type, cS: $i > $i). 0.17/0.38 thf(func_def_16, type, ph1: !>[X0: $tType]:(X0)). 0.17/0.38 thf(f142,plain,( 0.17/0.38 $false), 0.17/0.38 inference(avatar_sat_refutation,[],[f105,f129,f137])). 0.17/0.38 thf(f137,plain,( 0.17/0.38 ~spl0_4), 0.17/0.38 inference(avatar_contradiction_clause,[],[f136])). 0.17/0.38 thf(f136,plain,( 0.17/0.38 $false | ~spl0_4), 0.17/0.38 inference(trivial_inequality_removal,[],[f133])). 0.17/0.38 thf(f133,plain,( 0.17/0.38 ($false = $true) | ~spl0_4), 0.17/0.38 inference(backward_demodulation,[],[f28,f132])). 0.17/0.38 thf(f132,plain,( 0.17/0.38 ( ! [X1 : $i] : (((cDOUBLE @ c0 @ X1) = $false)) ) | ~spl0_4), 0.17/0.38 inference(pi_clausification,[],[f104])). 0.17/0.38 thf(f104,plain,( 0.17/0.38 ($false = (?? @ $i @ (cDOUBLE @ c0))) | ~spl0_4), 0.17/0.38 inference(avatar_component_clause,[],[f103])). 0.17/0.38 thf(f103,plain,( 0.17/0.38 spl0_4 <=> ($false = (?? @ $i @ (cDOUBLE @ c0)))), 0.17/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.17/0.38 thf(f28,plain,( 0.17/0.38 ((cDOUBLE @ c0 @ c0) = $true)), 0.17/0.38 inference(boolean_simplification,[],[f27])). 0.17/0.38 thf(f27,plain,( 0.17/0.38 (($true & (cDOUBLE @ c0 @ c0)) = $true)), 0.17/0.38 inference(backward_demodulation,[],[f17,f26])). 0.17/0.38 thf(f26,plain,( 0.17/0.38 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) = $true)), 0.17/0.38 inference(binary_proxy_clausification,[],[f17])). 0.17/0.38 thf(f17,plain,( 0.17/0.38 ($true = (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & (cDOUBLE @ c0 @ c0)))), 0.17/0.38 inference(binary_proxy_clausification,[],[f13])). 0.17/0.38 thf(f13,plain,( 0.17/0.38 (((((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & (cDOUBLE @ c0 @ c0)) => (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (cDOUBLE @ Y0))))) = $false)), 0.17/0.38 inference(not_proxy_clausification,[],[f12])). 0.17/0.38 thf(f12,plain,( 0.17/0.38 ((~ ((((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & (cDOUBLE @ c0 @ c0)) => (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (cDOUBLE @ Y0)))))) = $true)), 0.17/0.38 inference(beta_eta_normalization,[],[f11])). 0.17/0.38 thf(f11,plain,( 0.17/0.38 ((~ ((((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & (cDOUBLE @ c0 @ c0)) => (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (cDOUBLE @ Y0 @ Y1))))))) = $true)), 0.17/0.38 inference(definition_unfolding,[],[f10,f9])). 0.17/0.38 thf(f9,plain,( 0.17/0.38 (cIND = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))), 0.17/0.38 inference(cnf_transformation,[],[f8])). 0.17/0.38 thf(f8,plain,( 0.17/0.38 (cIND = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))), 0.17/0.38 inference(fool_elimination,[],[f7])). 0.17/0.38 thf(f7,plain,( 0.17/0.38 (cIND = ! [X0 : $i > $o] : ((! [X1] : ((X0 @ X1) => (X0 @ (cS @ X1))) & (X0 @ c0)) => ! [X2] : (X0 @ X2)))), 0.17/0.38 inference(rectify,[],[f1])). 0.17/0.38 thf(f1,axiom,( 0.17/0.38 (cIND = ! [X0 : $i > $o] : ((! [X1] : ((X0 @ X1) => (X0 @ (cS @ X1))) & (X0 @ c0)) => ! [X1] : (X0 @ X1)))), 0.17/0.38 file('/export/starexec/sandbox/tmp/tmp.0KhhM5Rfkg/E---3.1_28210.p',cIND_def)). 0.17/0.38 thf(f10,plain,( 0.17/0.38 ($true = (~ (((cIND & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & (cDOUBLE @ c0 @ c0)) => (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (cDOUBLE @ Y0 @ Y1))))))))), 0.17/0.38 inference(cnf_transformation,[],[f6])). 0.17/0.38 thf(f6,plain,( 0.17/0.38 ($true = (~ (((cIND & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & (cDOUBLE @ c0 @ c0)) => (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (cDOUBLE @ Y0 @ Y1))))))))), 0.17/0.38 inference(fool_elimination,[],[f5])). 0.17/0.38 thf(f5,plain,( 0.17/0.38 ~(((cDOUBLE @ c0 @ c0) & ! [X0,X1] : ((cDOUBLE @ X1 @ X0) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X0)))) & cIND) => ! [X2] : ? [X3] : (cDOUBLE @ X2 @ X3))), 0.17/0.38 inference(rectify,[],[f3])). 0.17/0.38 thf(f3,negated_conjecture,( 0.17/0.38 ~(((cDOUBLE @ c0 @ c0) & ! [X2,X1] : ((cDOUBLE @ X1 @ X2) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X2)))) & cIND) => ! [X1] : ? [X2] : (cDOUBLE @ X1 @ X2))), 0.17/0.38 inference(negated_conjecture,[],[f2])). 0.17/0.38 thf(f2,conjecture,( 0.17/0.38 ((cDOUBLE @ c0 @ c0) & ! [X2,X1] : ((cDOUBLE @ X1 @ X2) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X2)))) & cIND) => ! [X1] : ? [X2] : (cDOUBLE @ X1 @ X2)), 0.17/0.38 file('/export/starexec/sandbox/tmp/tmp.0KhhM5Rfkg/E---3.1_28210.p',cTHM140)). 0.17/0.38 thf(f129,plain,( 0.17/0.38 ~spl0_3), 0.17/0.38 inference(avatar_contradiction_clause,[],[f128])). 0.17/0.38 thf(f128,plain,( 0.17/0.38 $false | ~spl0_3), 0.17/0.38 inference(trivial_inequality_removal,[],[f127])). 0.17/0.38 thf(f127,plain,( 0.17/0.38 ($false = $true) | ~spl0_3), 0.17/0.38 inference(forward_demodulation,[],[f126,f124])). 0.17/0.38 thf(f124,plain,( 0.17/0.38 ( ! [X1 : $i] : (((cDOUBLE @ (cS @ sK4) @ X1) = $false)) ) | ~spl0_3), 0.17/0.38 inference(pi_clausification,[],[f122])). 0.17/0.38 thf(f122,plain,( 0.17/0.38 ((?? @ $i @ (cDOUBLE @ (cS @ sK4))) = $false) | ~spl0_3), 0.17/0.38 inference(boolean_simplification,[],[f121])). 0.17/0.38 thf(f121,plain,( 0.17/0.38 ($false = ($true => (?? @ $i @ (cDOUBLE @ (cS @ sK4))))) | ~spl0_3), 0.17/0.38 inference(backward_demodulation,[],[f114,f120])). 0.17/0.38 thf(f120,plain,( 0.17/0.38 ((?? @ $i @ (cDOUBLE @ sK4)) = $true) | ~spl0_3), 0.17/0.38 inference(binary_proxy_clausification,[],[f114])). 0.17/0.38 thf(f114,plain,( 0.17/0.38 ($false = ((?? @ $i @ (cDOUBLE @ sK4)) => (?? @ $i @ (cDOUBLE @ (cS @ sK4))))) | ~spl0_3), 0.17/0.38 inference(beta_eta_normalization,[],[f110])). 0.17/0.38 thf(f110,plain,( 0.17/0.38 (((^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0))))) @ sK4) = $false) | ~spl0_3), 0.17/0.38 inference(sigma_clausification,[],[f101])). 0.17/0.38 thf(f101,plain,( 0.17/0.38 ((!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0)))))) = $false) | ~spl0_3), 0.17/0.38 inference(avatar_component_clause,[],[f100])). 0.17/0.38 thf(f100,plain,( 0.17/0.38 spl0_3 <=> ((!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0)))))) = $false)), 0.17/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.17/0.38 thf(f126,plain,( 0.17/0.38 ((cDOUBLE @ (cS @ sK4) @ (cS @ (cS @ sK5))) = $true) | ~spl0_3), 0.17/0.38 inference(boolean_simplification,[],[f125])). 0.17/0.38 thf(f125,plain,( 0.17/0.38 (($true => (cDOUBLE @ (cS @ sK4) @ (cS @ (cS @ sK5)))) = $true) | ~spl0_3), 0.17/0.38 inference(superposition,[],[f51,f123])). 0.17/0.38 thf(f123,plain,( 0.17/0.38 ((cDOUBLE @ sK4 @ sK5) = $true) | ~spl0_3), 0.17/0.38 inference(sigma_clausification,[],[f120])). 0.17/0.38 thf(f51,plain,( 0.17/0.38 ( ! [X2 : $i,X1 : $i] : ((((cDOUBLE @ X1 @ X2) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X2)))) = $true)) )), 0.17/0.38 inference(beta_eta_normalization,[],[f49])). 0.17/0.38 thf(f49,plain,( 0.17/0.38 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((cDOUBLE @ X1 @ Y0) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ Y0))))) @ X2) = $true)) )), 0.17/0.38 inference(pi_clausification,[],[f48])). 0.17/0.38 thf(f48,plain,( 0.17/0.38 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((cDOUBLE @ X1 @ Y0) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ Y0)))))) = $true)) )), 0.17/0.38 inference(beta_eta_normalization,[],[f44])). 0.17/0.38 thf(f44,plain,( 0.17/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))) @ X1) = $true)) )), 0.17/0.38 inference(pi_clausification,[],[f29])). 0.17/0.38 thf(f29,plain,( 0.17/0.38 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))) = $true)), 0.17/0.38 inference(binary_proxy_clausification,[],[f26])). 0.17/0.38 thf(f105,plain,( 0.17/0.38 spl0_3 | spl0_4), 0.17/0.38 inference(avatar_split_clause,[],[f98,f103,f100])). 0.17/0.38 thf(f98,plain,( 0.17/0.38 ((!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0)))))) = $false) | ($false = (?? @ $i @ (cDOUBLE @ c0)))), 0.17/0.38 inference(binary_proxy_clausification,[],[f93])). 0.17/0.38 thf(f93,plain,( 0.17/0.38 ($false = ((?? @ $i @ (cDOUBLE @ c0)) & (!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0))))))))), 0.17/0.38 inference(not_proxy_clausification,[],[f40])). 0.17/0.38 thf(f40,plain,( 0.17/0.38 ((~ ((?? @ $i @ (cDOUBLE @ c0)) & (!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0)))))))) = $true)), 0.17/0.38 inference(boolean_simplification,[],[f39])). 0.17/0.38 thf(f39,plain,( 0.17/0.38 ((((?? @ $i @ (cDOUBLE @ c0)) & (!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (cDOUBLE @ Y0)) => (?? @ $i @ (cDOUBLE @ (cS @ Y0))))))) => $false) = $true)), 0.17/0.38 inference(beta_eta_normalization,[],[f36])). 0.17/0.38 thf(f36,plain,( 0.17/0.38 (((((^[Y0 : $i]: (?? @ $i @ (cDOUBLE @ Y0))) @ c0) & (!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (?? @ $i @ (cDOUBLE @ Y1))) @ Y0) => ((^[Y1 : $i]: (?? @ $i @ (cDOUBLE @ Y1))) @ (cS @ Y0)))))) => $false) = $true)), 0.17/0.38 inference(superposition,[],[f34,f16])). 0.17/0.38 thf(f16,plain,( 0.17/0.38 ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (cDOUBLE @ Y0)))) = $false)), 0.17/0.38 inference(binary_proxy_clausification,[],[f13])). 0.17/0.38 thf(f34,plain,( 0.17/0.38 ( ! [X1 : $i > $o] : (((((X1 @ c0) & (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0)))))) => (!! @ $i @ X1)) = $true)) )), 0.17/0.38 inference(beta_eta_normalization,[],[f33])). 0.17/0.38 thf(f33,plain,( 0.17/0.38 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0))) @ X1) = $true)) )), 0.17/0.38 inference(pi_clausification,[],[f32])). 0.17/0.38 thf(f32,plain,( 0.17/0.38 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0)))))), 0.17/0.38 inference(boolean_simplification,[],[f31])). 0.17/0.38 thf(f31,plain,( 0.17/0.38 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((Y0 @ c0) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1)))))) => (!! @ $i @ Y0)))) & $true) = $true)), 0.17/0.38 inference(backward_demodulation,[],[f26,f29])). 0.17/0.38 % SZS output end Proof for E---3.1_28210 0.17/0.38 % (28329)------------------------------ 0.17/0.38 % (28329)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (28329)Termination reason: Refutation 0.17/0.38 0.17/0.38 % (28329)Memory used [KB]: 5628 0.17/0.38 % (28329)Time elapsed: 0.015 s 0.17/0.38 % (28329)Instructions burned: 21 (million) 0.17/0.38 % (28329)------------------------------ 0.17/0.38 % (28329)------------------------------ 0.17/0.38 % (28317)Success in time 0.041 s 0.17/0.38 EOF