0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : run_vampire %s %d THM 0.10/0.31 % Computer : n012.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 05:12:34 EDT 2025 0.10/0.31 % CPUTime : 0.10/0.33 This is a THF_ problem 0.10/0.33 Running higher-order theorem proving 0.10/0.37 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.0VFTqd1D04/E---3.1_30720.p -m 16384 -t 240 0.21/0.40 % (30833)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/18Mi) 0.21/0.40 % (30832)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_30720 for (2399ds/275Mi) 0.21/0.40 % (30828)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_30720 for (2399ds/4Mi) 0.21/0.40 % (30831)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_30720 for (2399ds/2Mi) 0.21/0.40 % (30830)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/2Mi) 0.21/0.40 % (30829)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_30720 for (2399ds/27Mi) 0.21/0.41 % (30827)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/183Mi) 0.21/0.41 % (30830)Instruction limit reached! 0.21/0.41 % (30830)------------------------------ 0.21/0.41 % (30830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (30830)Termination reason: Unknown 0.21/0.41 % (30831)Instruction limit reached! 0.21/0.41 % (30831)------------------------------ 0.21/0.41 % (30831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (30830)Termination phase: shuffling 0.21/0.41 0.21/0.41 % (30830)Memory used [KB]: 1279 0.21/0.41 % (30830)Time elapsed: 0.003 s 0.21/0.41 % (30830)Instructions burned: 2 (million) 0.21/0.41 % (30830)------------------------------ 0.21/0.41 % (30830)------------------------------ 0.21/0.41 % (30831)Termination reason: Unknown 0.21/0.41 % (30831)Termination phase: shuffling 0.21/0.41 0.21/0.41 % (30831)Memory used [KB]: 1279 0.21/0.41 % (30831)Time elapsed: 0.003 s 0.21/0.41 % (30831)Instructions burned: 2 (million) 0.21/0.41 % (30831)------------------------------ 0.21/0.41 % (30831)------------------------------ 0.21/0.41 % (30828)Instruction limit reached! 0.21/0.41 % (30828)------------------------------ 0.21/0.41 % (30828)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (30828)Termination reason: Unknown 0.21/0.41 % (30828)Termination phase: shuffling 0.21/0.41 0.21/0.41 % (30828)Memory used [KB]: 1407 0.21/0.41 % (30828)Time elapsed: 0.004 s 0.21/0.41 % (30828)Instructions burned: 5 (million) 0.21/0.41 % (30828)------------------------------ 0.21/0.41 % (30828)------------------------------ 0.21/0.41 % (30833)Instruction limit reached! 0.21/0.41 % (30833)------------------------------ 0.21/0.41 % (30833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (30833)Termination reason: Unknown 0.21/0.41 % (30833)Termination phase: Property scanning 0.21/0.41 0.21/0.41 % (30833)Memory used [KB]: 1535 0.21/0.41 % (30833)Time elapsed: 0.012 s 0.21/0.41 % (30833)Instructions burned: 18 (million) 0.21/0.41 % (30833)------------------------------ 0.21/0.41 % (30833)------------------------------ 0.21/0.42 % (30829)Instruction limit reached! 0.21/0.42 % (30829)------------------------------ 0.21/0.42 % (30829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.42 % (30829)Termination reason: Unknown 0.21/0.42 % (30829)Termination phase: Preprocessing 1 0.21/0.42 0.21/0.42 % (30829)Memory used [KB]: 1535 0.21/0.42 % (30829)Time elapsed: 0.015 s 0.21/0.42 % (30829)Instructions burned: 27 (million) 0.21/0.42 % (30829)------------------------------ 0.21/0.42 % (30829)------------------------------ 0.21/0.42 % (30835)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_30720 for (2399ds/37Mi) 0.21/0.42 % (30834)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_30720 for (2399ds/3Mi) 0.21/0.42 % (30836)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_30720 for (2399ds/15Mi) 0.21/0.42 % (30834)Instruction limit reached! 0.21/0.42 % (30834)------------------------------ 0.21/0.42 % (30834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.42 % (30834)Termination reason: Unknown 0.21/0.42 % (30834)Termination phase: shuffling 0.21/0.42 0.21/0.42 % (30834)Memory used [KB]: 1407 0.21/0.42 % (30834)Time elapsed: 0.004 s 0.21/0.42 % (30834)Instructions burned: 4 (million) 0.21/0.42 % (30834)------------------------------ 0.21/0.42 % (30834)------------------------------ 0.21/0.43 % (30837)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_30720 for (2399ds/3Mi) 0.21/0.43 % (30836)Instruction limit reached! 0.21/0.43 % (30836)------------------------------ 0.21/0.43 % (30836)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (30836)Termination reason: Unknown 0.21/0.43 % (30836)Termination phase: Property scanning 0.21/0.43 0.21/0.43 % (30836)Memory used [KB]: 1535 0.21/0.43 % (30836)Time elapsed: 0.010 s 0.21/0.43 % (30836)Instructions burned: 17 (million) 0.21/0.43 % (30836)------------------------------ 0.21/0.43 % (30836)------------------------------ 0.21/0.43 % (30837)Instruction limit reached! 0.21/0.43 % (30837)------------------------------ 0.21/0.43 % (30837)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (30837)Termination reason: Unknown 0.21/0.43 % (30837)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (30837)Memory used [KB]: 1279 0.21/0.43 % (30837)Time elapsed: 0.003 s 0.21/0.43 % (30837)Instructions burned: 3 (million) 0.21/0.43 % (30837)------------------------------ 0.21/0.43 % (30837)------------------------------ 0.21/0.43 % (30838)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_30720 for (2399ds/1041Mi) 0.21/0.44 % (30839)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/7Mi) 0.21/0.44 % (30835)Instruction limit reached! 0.21/0.44 % (30835)------------------------------ 0.21/0.44 % (30835)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (30835)Termination reason: Unknown 0.21/0.44 % (30835)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (30835)Memory used [KB]: 2046 0.21/0.44 % (30835)Time elapsed: 0.019 s 0.21/0.44 % (30835)Instructions burned: 37 (million) 0.21/0.44 % (30835)------------------------------ 0.21/0.44 % (30835)------------------------------ 0.21/0.44 % (30839)Instruction limit reached! 0.21/0.44 % (30839)------------------------------ 0.21/0.44 % (30839)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (30839)Termination reason: Unknown 0.21/0.44 % (30839)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (30839)Memory used [KB]: 1407 0.21/0.44 % (30839)Time elapsed: 0.006 s 0.21/0.44 % (30839)Instructions burned: 8 (million) 0.21/0.44 % (30839)------------------------------ 0.21/0.44 % (30839)------------------------------ 0.21/0.44 % (30841)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_30720 for (2399ds/3Mi) 0.21/0.45 % (30841)Instruction limit reached! 0.21/0.45 % (30841)------------------------------ 0.21/0.45 % (30841)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (30841)Termination reason: Unknown 0.21/0.45 % (30841)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (30841)Memory used [KB]: 1279 0.21/0.45 % (30841)Time elapsed: 0.003 s 0.21/0.45 % (30841)Instructions burned: 3 (million) 0.21/0.45 % (30841)------------------------------ 0.21/0.45 % (30841)------------------------------ 0.21/0.45 % (30840)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/16Mi) 0.21/0.45 % (30840)Instruction limit reached! 0.21/0.45 % (30840)------------------------------ 0.21/0.45 % (30840)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (30840)Termination reason: Unknown 0.21/0.45 % (30840)Termination phase: Property scanning 0.21/0.45 0.21/0.45 % (30840)Memory used [KB]: 1535 0.21/0.45 % (30840)Time elapsed: 0.010 s 0.21/0.45 % (30840)Instructions burned: 16 (million) 0.21/0.45 % (30840)------------------------------ 0.21/0.45 % (30840)------------------------------ 0.21/0.46 % (30843)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_30720 for (2399ds/7Mi) 0.21/0.46 % (30842)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_30720 for (2399ds/3Mi) 0.21/0.46 % (30842)Instruction limit reached! 0.21/0.46 % (30842)------------------------------ 0.21/0.46 % (30842)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (30842)Termination reason: Unknown 0.21/0.46 % (30842)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (30842)Memory used [KB]: 1407 0.21/0.46 % (30842)Time elapsed: 0.004 s 0.21/0.46 % (30842)Instructions burned: 4 (million) 0.21/0.46 % (30842)------------------------------ 0.21/0.46 % (30842)------------------------------ 0.21/0.46 % (30843)Instruction limit reached! 0.21/0.46 % (30843)------------------------------ 0.21/0.46 % (30843)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (30843)Termination reason: Unknown 0.21/0.46 % (30843)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (30843)Memory used [KB]: 1407 0.21/0.46 % (30843)Time elapsed: 0.005 s 0.21/0.46 % (30843)Instructions burned: 7 (million) 0.21/0.46 % (30843)------------------------------ 0.21/0.46 % (30843)------------------------------ 0.21/0.46 % (30844)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_30720 for (2399ds/3Mi) 0.21/0.46 % (30844)Instruction limit reached! 0.21/0.46 % (30844)------------------------------ 0.21/0.46 % (30844)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (30844)Termination reason: Unknown 0.21/0.46 % (30844)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (30844)Memory used [KB]: 1279 0.21/0.46 % (30844)Time elapsed: 0.003 s 0.21/0.46 % (30844)Instructions burned: 4 (million) 0.21/0.46 % (30844)------------------------------ 0.21/0.46 % (30844)------------------------------ 0.21/0.47 % (30845)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/4Mi) 0.21/0.47 % (30845)Instruction limit reached! 0.21/0.47 % (30845)------------------------------ 0.21/0.47 % (30845)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.47 % (30845)Termination reason: Unknown 0.21/0.47 % (30845)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (30845)Memory used [KB]: 1407 0.21/0.47 % (30845)Time elapsed: 0.004 s 0.21/0.47 % (30845)Instructions burned: 5 (million) 0.21/0.47 % (30845)------------------------------ 0.21/0.47 % (30845)------------------------------ 0.21/0.47 % (30846)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_30720 for (2399ds/18Mi) 0.21/0.47 % (30848)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/6Mi) 0.21/0.48 % (30847)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/710Mi) 0.21/0.48 % (30848)Instruction limit reached! 0.21/0.48 % (30848)------------------------------ 0.21/0.48 % (30848)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (30848)Termination reason: Unknown 0.21/0.48 % (30848)Termination phase: shuffling 0.21/0.48 0.21/0.48 % (30848)Memory used [KB]: 1407 0.21/0.48 % (30848)Time elapsed: 0.005 s 0.21/0.48 % (30848)Instructions burned: 7 (million) 0.21/0.48 % (30848)------------------------------ 0.21/0.48 % (30848)------------------------------ 0.21/0.48 % (30827)Instruction limit reached! 0.21/0.48 % (30827)------------------------------ 0.21/0.48 % (30827)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (30827)Termination reason: Unknown 0.21/0.48 % (30827)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (30827)Memory used [KB]: 7164 0.21/0.48 % (30827)Time elapsed: 0.077 s 0.21/0.48 % (30827)Instructions burned: 183 (million) 0.21/0.48 % (30827)------------------------------ 0.21/0.48 % (30827)------------------------------ 0.21/0.48 % (30846)Instruction limit reached! 0.21/0.48 % (30846)------------------------------ 0.21/0.48 % (30846)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (30846)Termination reason: Unknown 0.21/0.48 % (30846)Termination phase: Property scanning 0.21/0.48 0.21/0.48 % (30846)Memory used [KB]: 1535 0.21/0.48 % (30846)Time elapsed: 0.011 s 0.21/0.48 % (30846)Instructions burned: 19 (million) 0.21/0.48 % (30846)------------------------------ 0.21/0.48 % (30846)------------------------------ 0.21/0.49 % (30849)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_30720 for (2399ds/902Mi) 0.21/0.49 % (30850)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 E---3.1_30720 for (2398ds/21Mi) 0.21/0.50 % (30851)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_30720 for (2398ds/5Mi) 0.21/0.50 % (30852)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_30720 for (2398ds/6Mi) 0.21/0.50 % (30851)Instruction limit reached! 0.21/0.50 % (30851)------------------------------ 0.21/0.50 % (30851)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (30851)Termination reason: Unknown 0.21/0.50 % (30851)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (30851)Memory used [KB]: 1407 0.21/0.50 % (30851)Time elapsed: 0.004 s 0.21/0.50 % (30851)Instructions burned: 5 (million) 0.21/0.50 % (30851)------------------------------ 0.21/0.50 % (30851)------------------------------ 0.21/0.50 % (30850)Instruction limit reached! 0.21/0.50 % (30850)------------------------------ 0.21/0.50 % (30850)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (30850)Termination reason: Unknown 0.21/0.50 % (30850)Termination phase: Property scanning 0.21/0.50 0.21/0.50 % (30850)Memory used [KB]: 1663 0.21/0.50 % (30850)Time elapsed: 0.010 s 0.21/0.50 % (30850)Instructions burned: 22 (million) 0.21/0.50 % (30850)------------------------------ 0.21/0.50 % (30850)------------------------------ 0.21/0.50 % (30852)Instruction limit reached! 0.21/0.50 % (30852)------------------------------ 0.21/0.50 % (30852)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (30852)Termination reason: Unknown 0.21/0.50 % (30852)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (30852)Memory used [KB]: 1407 0.21/0.50 % (30852)Time elapsed: 0.005 s 0.21/0.50 % (30852)Instructions burned: 7 (million) 0.21/0.50 % (30852)------------------------------ 0.21/0.50 % (30852)------------------------------ 0.21/0.51 % (30853)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_30720 for (2398ds/377Mi) 0.21/0.51 % (30854)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on E---3.1_30720 for (2398ds/779Mi) 0.21/0.51 % (30855)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on E---3.1_30720 for (2398ds/19Mi) 0.21/0.52 % (30855)Instruction limit reached! 0.21/0.52 % (30855)------------------------------ 0.21/0.52 % (30855)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.52 % (30855)Termination reason: Unknown 0.21/0.52 % (30855)Termination phase: shuffling 0.21/0.52 0.21/0.52 % (30855)Memory used [KB]: 1663 0.21/0.52 % (30855)Time elapsed: 0.011 s 0.21/0.52 % (30855)Instructions burned: 20 (million) 0.21/0.52 % (30855)------------------------------ 0.21/0.52 % (30855)------------------------------ 1.11/0.54 % (30856)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_30720 for (2398ds/879Mi) 1.11/0.54 % (30832)Instruction limit reached! 1.11/0.54 % (30832)------------------------------ 1.11/0.54 % (30832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.11/0.54 % (30832)Termination reason: Unknown 1.11/0.54 % (30832)Termination phase: Saturation 1.11/0.54 1.11/0.54 % (30832)Memory used [KB]: 6908 1.11/0.54 % (30832)Time elapsed: 0.139 s 1.11/0.54 % (30832)Instructions burned: 275 (million) 1.11/0.54 % (30832)------------------------------ 1.11/0.54 % (30832)------------------------------ 1.20/0.55 % (30838)First to succeed. 1.20/0.55 % (30856)Also succeeded, but the first one will report. 1.20/0.55 % (30838)Refutation found. Thanks to Tanya! 1.20/0.55 % SZS status Theorem for E---3.1_30720 1.20/0.55 % SZS output start Proof for E---3.1_30720 1.20/0.55 thf(type_def_5, type, hF_Mirabelle_hf: $tType). 1.20/0.55 thf(type_def_7, type, nat: $tType). 1.20/0.55 thf(type_def_8, type, set_HF_Mirabelle_hf: $tType). 1.20/0.55 thf(func_def_0, type, set_HF_Mirabelle_hf: $tType). 1.20/0.55 thf(func_def_1, type, hF_Mirabelle_hf: $tType). 1.20/0.55 thf(func_def_2, type, nat: $tType). 1.20/0.55 thf(func_def_3, type, minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_4, type, minus_minus_nat: nat > nat > nat). 1.20/0.55 thf(func_def_5, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 1.20/0.55 thf(func_def_6, type, zero_zero_nat: nat). 1.20/0.55 thf(func_def_7, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_8, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_9, type, hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_10, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_11, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_12, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_13, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_14, type, hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_15, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 1.20/0.55 thf(func_def_16, type, hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_17, type, hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_18, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 1.20/0.55 thf(func_def_19, type, hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_20, type, hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_21, type, inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_22, type, inf_inf_nat: nat > nat > nat). 1.20/0.55 thf(func_def_23, type, sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.20/0.55 thf(func_def_24, type, sup_sup_nat: nat > nat > nat). 1.20/0.55 thf(func_def_25, type, semiri1382578993at_nat: nat > nat). 1.20/0.55 thf(func_def_26, type, ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 1.20/0.55 thf(func_def_27, type, ord_less_eq_nat: nat > nat > $o). 1.20/0.55 thf(func_def_28, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 1.20/0.55 thf(func_def_29, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 1.20/0.55 thf(func_def_30, type, x: hF_Mirabelle_hf). 1.20/0.55 thf(func_def_31, type, y: hF_Mirabelle_hf). 1.20/0.55 thf(func_def_50, type, ph1: !>[X0: $tType]:(X0)). 1.20/0.55 thf(f2034,plain,( 1.20/0.55 $false), 1.20/0.55 inference(trivial_inequality_removal,[],[f2031])). 1.20/0.55 thf(f2031,plain,( 1.20/0.55 ($false = $true)), 1.20/0.55 inference(backward_demodulation,[],[f1658,f2029])). 1.20/0.55 thf(f2029,plain,( 1.20/0.55 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ X2)))) )), 1.20/0.55 inference(not_proxy_clausification,[],[f2028])). 1.20/0.55 thf(f2028,plain,( 1.20/0.55 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ X2))))) )), 1.20/0.55 inference(beta_eta_normalization,[],[f2027])). 1.20/0.55 thf(f2027,plain,( 1.20/0.55 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ Y0)))) @ X2) = $true)) )), 1.20/0.55 inference(pi_clausification,[],[f2026])). 1.20/0.55 thf(f2026,plain,( 1.20/0.55 ( ! [X1 : hF_Mirabelle_hf] : (($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ Y0))))))) )), 1.20/0.55 inference(beta_eta_normalization,[],[f2025])). 1.20/0.55 thf(f2025,plain,( 1.20/0.55 ( ! [X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y0 @ Y1)))))) @ X1) = $true)) )), 1.20/0.55 inference(pi_clausification,[],[f1527])). 1.20/0.55 thf(f1527,plain,( 1.20/0.55 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y0 @ Y1))))))) = $true)), 1.20/0.55 inference(definition_unfolding,[],[f1269,f1099])). 1.20/0.55 thf(f1099,plain,( 1.20/0.55 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 1.20/0.55 inference(cnf_transformation,[],[f461])). 1.20/0.55 thf(f461,plain,( 1.20/0.55 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 1.20/0.55 inference(fool_elimination,[],[f19])). 1.20/0.55 thf(f19,axiom,( 1.20/0.55 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 1.20/0.55 file('/export/starexec/sandbox/tmp/tmp.0VFTqd1D04/E---3.1_30720.p',fact_22_Abs__hf__0)). 1.20/0.55 thf(f1269,plain,( 1.20/0.55 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ (zero_z189798548lle_hf = (hF_Mirabelle_hinsert @ Y0 @ Y1))))))) = $true)), 1.20/0.55 inference(cnf_transformation,[],[f410])). 1.20/0.55 thf(f410,plain,( 1.20/0.55 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ (zero_z189798548lle_hf = (hF_Mirabelle_hinsert @ Y0 @ Y1))))))) = $true)), 1.20/0.55 inference(fool_elimination,[],[f409])). 1.20/0.55 thf(f409,plain,( 1.20/0.55 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (zero_z189798548lle_hf != (hF_Mirabelle_hinsert @ X1 @ X0))), 1.20/0.55 inference(rectify,[],[f315])). 1.20/0.55 thf(f315,axiom,( 1.20/0.55 ! [X0 : hF_Mirabelle_hf,X6 : hF_Mirabelle_hf] : (zero_z189798548lle_hf != (hF_Mirabelle_hinsert @ X6 @ X0))), 1.20/0.55 file('/export/starexec/sandbox/tmp/tmp.0VFTqd1D04/E---3.1_30720.p',fact_18_hinsert__nonempty)). 1.20/0.55 thf(f1658,plain,( 1.20/0.55 (((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))) = $true)), 1.20/0.55 inference(boolean_simplification,[],[f1657])). 1.20/0.55 thf(f1657,plain,( 1.20/0.55 ((~ (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))) = $true)), 1.20/0.55 inference(beta_eta_normalization,[],[f1517])). 1.20/0.55 thf(f1517,plain,( 1.20/0.55 ((~ (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = ((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))) @ x @ y)))) = $true)), 1.20/0.55 inference(definition_unfolding,[],[f1254,f1099,f1369])). 1.20/0.55 thf(f1369,plain,( 1.20/0.55 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))))), 1.20/0.55 inference(definition_unfolding,[],[f1107,f1099,f1099,f1099])). 1.20/0.55 thf(f1107,plain,( 1.20/0.55 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))))), 1.20/0.55 inference(cnf_transformation,[],[f652])). 1.20/0.55 thf(f652,plain,( 1.20/0.55 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))))), 1.20/0.55 inference(fool_elimination,[],[f651])). 1.20/0.55 thf(f651,plain,( 1.20/0.55 (hF_Mirabelle_hpair = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))), 1.20/0.55 inference(rectify,[],[f46])). 1.20/0.55 thf(f46,axiom,( 1.20/0.55 (hF_Mirabelle_hpair = (^[X8 : hF_Mirabelle_hf, X9 : hF_Mirabelle_hf] : (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X8 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X8 @ (hF_Mirabelle_hinsert @ X9 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))), 1.20/0.55 file('/export/starexec/sandbox/tmp/tmp.0VFTqd1D04/E---3.1_30720.p',fact_13_hpair__def)). 1.20/0.55 thf(f1254,plain,( 1.20/0.55 ((~ (~ (zero_z189798548lle_hf = (hF_Mirabelle_hpair @ x @ y)))) = $true)), 1.20/0.55 inference(cnf_transformation,[],[f949])). 1.20/0.55 thf(f949,plain,( 1.20/0.55 ((~ (~ (zero_z189798548lle_hf = (hF_Mirabelle_hpair @ x @ y)))) = $true)), 1.20/0.55 inference(fool_elimination,[],[f85])). 1.20/0.55 thf(f85,negated_conjecture,( 1.20/0.55 ~(zero_z189798548lle_hf != (hF_Mirabelle_hpair @ x @ y))), 1.20/0.55 inference(negated_conjecture,[],[f84])). 1.20/0.55 thf(f84,conjecture,( 1.20/0.55 (zero_z189798548lle_hf != (hF_Mirabelle_hpair @ x @ y))), 1.20/0.55 file('/export/starexec/sandbox/tmp/tmp.0VFTqd1D04/E---3.1_30720.p',conj_0)). 1.20/0.55 % SZS output end Proof for E---3.1_30720 1.20/0.55 % (30838)------------------------------ 1.20/0.55 % (30838)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.20/0.55 % (30838)Termination reason: Refutation 1.20/0.55 1.20/0.55 % (30838)Memory used [KB]: 7547 1.20/0.55 % (30838)Time elapsed: 0.121 s 1.20/0.55 % (30838)Instructions burned: 251 (million) 1.20/0.55 % (30838)------------------------------ 1.20/0.55 % (30838)------------------------------ 1.20/0.55 % (30826)Success in time 0.178 s 1.20/0.56 EOF