0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n005.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 03:52:19 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.35 This is a THF_ problem 0.11/0.35 Running higher-order theorem proving 0.11/0.36 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.gkEAMCEn6E/E---3.1_2510.p -m 16384 -t 240 0.11/0.38 % (2722)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_2510 for (2399ds/183Mi) 0.11/0.38 % (2725)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_2510 for (2399ds/27Mi) 0.11/0.38 % (2726)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_2510 for (2399ds/2Mi) 0.11/0.38 % (2727)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_2510 for (2399ds/2Mi) 0.11/0.38 % (2723)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_2510 for (2399ds/4Mi) 0.11/0.38 % (2728)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_2510 for (2399ds/275Mi) 0.11/0.38 % (2726)Instruction limit reached! 0.11/0.38 % (2726)------------------------------ 0.11/0.38 % (2726)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.38 % (2726)Termination reason: Unknown 0.11/0.38 % (2726)Termination phase: Property scanning 0.11/0.38 0.11/0.38 % (2727)Instruction limit reached! 0.11/0.38 % (2727)------------------------------ 0.11/0.38 % (2727)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.38 % (2726)Memory used [KB]: 1023 0.11/0.38 % (2726)Time elapsed: 0.004 s 0.11/0.38 % (2726)Instructions burned: 2 (million) 0.11/0.38 % (2726)------------------------------ 0.11/0.38 % (2726)------------------------------ 0.11/0.38 % (2727)Termination reason: Unknown 0.11/0.38 % (2727)Termination phase: shuffling 0.11/0.38 0.11/0.38 % (2727)Memory used [KB]: 1023 0.11/0.38 % (2727)Time elapsed: 0.004 s 0.11/0.38 % (2727)Instructions burned: 3 (million) 0.11/0.38 % (2727)------------------------------ 0.11/0.38 % (2727)------------------------------ 0.11/0.38 % (2723)Instruction limit reached! 0.11/0.38 % (2723)------------------------------ 0.11/0.38 % (2723)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.38 % (2723)Termination reason: Unknown 0.11/0.38 % (2723)Termination phase: Property scanning 0.11/0.38 0.11/0.38 % (2723)Memory used [KB]: 1023 0.11/0.38 % (2723)Time elapsed: 0.004 s 0.11/0.38 % (2723)Instructions burned: 4 (million) 0.11/0.38 % (2723)------------------------------ 0.11/0.38 % (2723)------------------------------ 0.11/0.38 % (2729)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_2510 for (2399ds/18Mi) 0.11/0.39 % (2728)First to succeed. 0.11/0.39 % (2728)Refutation found. Thanks to Tanya! 0.11/0.39 % SZS status Theorem for E---3.1_2510 0.11/0.39 % SZS output start Proof for E---3.1_2510 0.11/0.39 thf(func_def_0, type, num: $tType). 0.11/0.39 thf(func_def_2, type, domain_THFTYPE_IIiioIiioI: ($i > $i > $o) > $i > $i > $o). 0.11/0.39 thf(func_def_3, type, domain_THFTYPE_IiiioI: $i > $i > $i > $o). 0.11/0.39 thf(func_def_5, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o). 0.11/0.39 thf(func_def_6, type, instance_THFTYPE_IIiioIioI: ($i > $i > $o) > $i > $o). 0.11/0.39 thf(func_def_7, type, instance_THFTYPE_IIiooIioI: ($i > $o > $o) > $i > $o). 0.11/0.39 thf(func_def_8, type, instance_THFTYPE_IiioI: $i > $i > $o). 0.11/0.39 thf(func_def_18, type, likes_THFTYPE_IiioI: $i > $i > $o). 0.11/0.39 thf(func_def_21, type, parent_THFTYPE_IiioI: $i > $i > $o). 0.11/0.39 thf(func_def_22, type, range_THFTYPE_IiioI: $i > $i > $o). 0.11/0.39 thf(func_def_23, type, subclass_THFTYPE_IiioI: $i > $i > $o). 0.11/0.39 thf(func_def_24, type, subrelation_THFTYPE_IIioIIioIoI: ($i > $o) > ($i > $o) > $o). 0.11/0.39 thf(func_def_25, type, subrelation_THFTYPE_IiioI: $i > $i > $o). 0.11/0.39 thf(func_def_32, type, ph1: !>[X0: $tType]:(X0)). 0.11/0.39 thf(f267,plain,( 0.11/0.39 $false), 0.11/0.39 inference(trivial_inequality_removal,[],[f266])). 0.11/0.39 thf(f266,plain,( 0.11/0.39 ($true = $false)), 0.11/0.39 inference(boolean_simplification,[],[f261])). 0.11/0.39 thf(f261,plain,( 0.11/0.39 ($true = (~ $true))), 0.11/0.39 inference(superposition,[],[f140,f258])). 0.11/0.39 thf(f258,plain,( 0.11/0.39 ( ! [X2 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X1 @ X2) = $true)) )), 0.11/0.39 inference(beta_eta_normalization,[],[f257])). 0.11/0.39 thf(f257,plain,( 0.11/0.39 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ($true)) @ X2) = (likes_THFTYPE_IiioI @ X1 @ X2))) )), 0.11/0.39 inference(argument_congruence,[],[f253])). 0.11/0.39 thf(f253,plain,( 0.11/0.39 ( ! [X1 : $i] : (((likes_THFTYPE_IiioI @ X1) = (^[Y0 : $i]: ($true)))) )), 0.11/0.39 inference(beta_eta_normalization,[],[f250])). 0.11/0.39 thf(f250,plain,( 0.11/0.39 ( ! [X1 : $i] : (((likes_THFTYPE_IiioI @ X1) = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1))) )), 0.11/0.39 inference(argument_congruence,[],[f195])). 0.11/0.39 thf(f195,plain,( 0.11/0.39 (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))), 0.11/0.39 inference(trivial_inequality_removal,[],[f194])). 0.11/0.39 thf(f194,plain,( 0.11/0.39 ($true != $true) | (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))), 0.11/0.39 inference(beta_eta_normalization,[],[f185])). 0.11/0.39 thf(f185,plain,( 0.11/0.39 (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))), 0.11/0.39 inference(primitive_instantiation,[],[f165])). 0.11/0.39 thf(f165,plain,( 0.11/0.39 ( ! [X0 : $i > $i > $o] : (($true != (X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) | (likes_THFTYPE_IiioI = X0)) )), 0.11/0.39 inference(trivial_inequality_removal,[],[f158])). 0.11/0.39 thf(f158,plain,( 0.11/0.39 ( ! [X0 : $i > $i > $o] : (($true != $true) | ($true != (X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) | (likes_THFTYPE_IiioI = X0)) )), 0.11/0.39 inference(superposition,[],[f151,f149])). 0.11/0.39 thf(f149,plain,( 0.11/0.39 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)), 0.11/0.39 inference(cnf_transformation,[],[f127])). 0.11/0.39 thf(f127,plain,( 0.11/0.39 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)), 0.11/0.39 inference(fool_elimination,[],[f126])). 0.11/0.39 thf(f126,plain,( 0.11/0.39 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)), 0.11/0.39 inference(rectify,[],[f19])). 0.11/0.39 thf(f19,axiom,( 0.11/0.39 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)), 0.11/0.39 file('/export/starexec/sandbox/tmp/tmp.gkEAMCEn6E/E---3.1_2510.p',ax)). 0.11/0.39 thf(f151,plain,( 0.11/0.39 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($true != (X1 @ X0 @ lBill_THFTYPE_i)) | (X1 = X2) | ((X2 @ X0 @ lAnna_THFTYPE_i) != $true)) )), 0.11/0.39 inference(equality_proxy_clausification,[],[f150])). 0.11/0.39 thf(f150,plain,( 0.11/0.39 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((X1 = X2) = $true) | ((X2 @ X0 @ lAnna_THFTYPE_i) != $true) | ($true != (X1 @ X0 @ lBill_THFTYPE_i))) )), 0.11/0.39 inference(not_proxy_clausification,[],[f139])). 0.11/0.39 thf(f139,plain,( 0.11/0.39 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($true != (~ (X1 = X2))) | ($true != (X1 @ X0 @ lBill_THFTYPE_i)) | ((X2 @ X0 @ lAnna_THFTYPE_i) != $true)) )), 0.11/0.39 inference(cnf_transformation,[],[f138])). 0.11/0.39 thf(f138,plain,( 0.11/0.39 ! [X0,X1 : $i > $i > $o,X2 : $i > $i > $o] : (((X2 @ X0 @ lAnna_THFTYPE_i) != $true) | ($true != (X1 @ X0 @ lBill_THFTYPE_i)) | ($true != (~ (X1 = X2))))), 0.11/0.39 inference(ennf_transformation,[],[f123])). 0.11/0.39 thf(f123,plain,( 0.11/0.39 ~? [X0,X1 : $i > $i > $o,X2 : $i > $i > $o] : (($true = (X1 @ X0 @ lBill_THFTYPE_i)) & ((X2 @ X0 @ lAnna_THFTYPE_i) = $true) & ($true = (~ (X1 = X2))))), 0.11/0.39 inference(fool_elimination,[],[f122])). 0.11/0.39 thf(f122,plain,( 0.11/0.39 ~? [X0,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((X1 @ X0 @ lBill_THFTYPE_i) & (~ (X1 = X2)) & (X2 @ X0 @ lAnna_THFTYPE_i))), 0.11/0.39 inference(rectify,[],[f35])). 0.11/0.39 thf(f35,negated_conjecture,( 0.11/0.39 ~? [X10,X18 : $i > $i > $o,X17 : $i > $i > $o] : ((X18 @ X10 @ lBill_THFTYPE_i) & (~ (X17 = X18)) & (X17 @ X10 @ lAnna_THFTYPE_i))), 0.11/0.39 inference(negated_conjecture,[],[f34])). 0.11/0.39 thf(f34,conjecture,( 0.11/0.39 ? [X10,X18 : $i > $i > $o,X17 : $i > $i > $o] : ((X18 @ X10 @ lBill_THFTYPE_i) & (~ (X17 = X18)) & (X17 @ X10 @ lAnna_THFTYPE_i))), 0.11/0.39 file('/export/starexec/sandbox/tmp/tmp.gkEAMCEn6E/E---3.1_2510.p',con)). 0.11/0.39 thf(f140,plain,( 0.11/0.39 ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)), 0.11/0.39 inference(cnf_transformation,[],[f83])). 0.11/0.39 thf(f83,plain,( 0.11/0.39 ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)), 0.11/0.39 inference(fool_elimination,[],[f82])). 0.11/0.39 thf(f82,plain,( 0.11/0.39 (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))), 0.11/0.39 inference(rectify,[],[f11])). 0.11/0.39 thf(f11,axiom,( 0.11/0.39 (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))), 0.11/0.39 file('/export/starexec/sandbox/tmp/tmp.gkEAMCEn6E/E---3.1_2510.p',ax_002)). 0.11/0.39 % SZS output end Proof for E---3.1_2510 0.11/0.39 % (2728)------------------------------ 0.11/0.39 % (2728)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.11/0.39 % (2728)Termination reason: Refutation 0.11/0.39 0.11/0.39 % (2728)Memory used [KB]: 5628 0.11/0.39 % (2728)Time elapsed: 0.013 s 0.11/0.39 % (2728)Instructions burned: 12 (million) 0.11/0.39 % (2728)------------------------------ 0.11/0.39 % (2728)------------------------------ 0.11/0.39 % (2714)Success in time 0.029 s 0.11/0.39 EOF