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 0.12/0.33 % Computer : n011.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 05:55:04 EDT 2025 0.12/0.33 % CPUTime : 0.18/0.35 This is a THF_ problem 0.18/0.35 Running higher-order theorem proving 0.18/0.38 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.nV1w8YvlEI/E---3.1_13815.p -m 16384 -t 240 0.18/0.41 % (14049)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_13815 for (2399ds/4Mi) 0.18/0.41 % (14051)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/2Mi) 0.18/0.41 % (14054)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/18Mi) 0.18/0.41 % (14048)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/183Mi) 0.18/0.41 % (14050)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_13815 for (2399ds/27Mi) 0.18/0.42 % (14053)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_13815 for (2399ds/275Mi) 0.18/0.42 % (14052)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_13815 for (2399ds/2Mi) 0.18/0.42 % (14051)Instruction limit reached! 0.18/0.42 % (14051)------------------------------ 0.18/0.42 % (14051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.42 % (14051)Termination reason: Unknown 0.18/0.42 % (14051)Termination phase: shuffling 0.18/0.42 0.18/0.42 % (14051)Memory used [KB]: 1279 0.18/0.42 % (14051)Time elapsed: 0.004 s 0.18/0.42 % (14051)Instructions burned: 2 (million) 0.18/0.42 % (14051)------------------------------ 0.18/0.42 % (14051)------------------------------ 0.18/0.42 % (14049)Instruction limit reached! 0.18/0.42 % (14049)------------------------------ 0.18/0.42 % (14049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.42 % (14049)Termination reason: Unknown 0.18/0.42 % (14049)Termination phase: shuffling 0.18/0.42 0.18/0.42 % (14049)Memory used [KB]: 1279 0.18/0.42 % (14049)Time elapsed: 0.004 s 0.18/0.42 % (14049)Instructions burned: 4 (million) 0.18/0.42 % (14049)------------------------------ 0.18/0.42 % (14049)------------------------------ 0.18/0.42 % (14052)Instruction limit reached! 0.18/0.42 % (14052)------------------------------ 0.18/0.42 % (14052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.42 % (14052)Termination reason: Unknown 0.18/0.42 % (14052)Termination phase: shuffling 0.18/0.42 0.18/0.42 % (14052)Memory used [KB]: 1279 0.18/0.42 % (14052)Time elapsed: 0.004 s 0.18/0.42 % (14052)Instructions burned: 3 (million) 0.18/0.42 % (14052)------------------------------ 0.18/0.42 % (14052)------------------------------ 0.23/0.43 % (14054)Instruction limit reached! 0.23/0.43 % (14054)------------------------------ 0.23/0.43 % (14054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (14054)Termination reason: Unknown 0.23/0.43 % (14054)Termination phase: Property scanning 0.23/0.43 0.23/0.43 % (14054)Memory used [KB]: 1663 0.23/0.43 % (14054)Time elapsed: 0.013 s 0.23/0.43 % (14054)Instructions burned: 19 (million) 0.23/0.43 % (14054)------------------------------ 0.23/0.43 % (14054)------------------------------ 0.23/0.43 % (14050)Instruction limit reached! 0.23/0.43 % (14050)------------------------------ 0.23/0.43 % (14050)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (14050)Termination reason: Unknown 0.23/0.43 % (14050)Termination phase: Property scanning 0.23/0.43 0.23/0.43 % (14050)Memory used [KB]: 1791 0.23/0.43 % (14050)Time elapsed: 0.017 s 0.23/0.43 % (14050)Instructions burned: 28 (million) 0.23/0.43 % (14050)------------------------------ 0.23/0.43 % (14050)------------------------------ 0.23/0.43 % (14053)Refutation not found, incomplete strategy 0.23/0.43 % (14053)------------------------------ 0.23/0.43 % (14053)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (14053)Termination reason: Refutation not found, incomplete strategy 0.23/0.43 0.23/0.43 0.23/0.43 % (14053)Memory used [KB]: 6140 0.23/0.43 % (14053)Time elapsed: 0.017 s 0.23/0.43 % (14053)Instructions burned: 24 (million) 0.23/0.43 % (14053)------------------------------ 0.23/0.43 % (14053)------------------------------ 0.23/0.43 % (14060)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_13815 for (2399ds/3Mi) 0.23/0.43 % (14061)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_13815 for (2399ds/37Mi) 0.23/0.43 % (14062)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_13815 for (2399ds/15Mi) 0.23/0.43 % (14060)Instruction limit reached! 0.23/0.43 % (14060)------------------------------ 0.23/0.43 % (14060)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (14060)Termination reason: Unknown 0.23/0.43 % (14060)Termination phase: shuffling 0.23/0.43 0.23/0.43 % (14060)Memory used [KB]: 1279 0.23/0.43 % (14060)Time elapsed: 0.004 s 0.23/0.43 % (14060)Instructions burned: 3 (million) 0.23/0.43 % (14060)------------------------------ 0.23/0.43 % (14060)------------------------------ 0.23/0.44 % (14065)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_13815 for (2399ds/3Mi) 0.23/0.44 % (14062)Instruction limit reached! 0.23/0.44 % (14062)------------------------------ 0.23/0.44 % (14062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.44 % (14062)Termination reason: Unknown 0.23/0.44 % (14062)Termination phase: Property scanning 0.23/0.44 0.23/0.44 % (14062)Memory used [KB]: 1663 0.23/0.44 % (14062)Time elapsed: 0.012 s 0.23/0.44 % (14062)Instructions burned: 15 (million) 0.23/0.44 % (14062)------------------------------ 0.23/0.44 % (14062)------------------------------ 0.23/0.44 % (14065)Instruction limit reached! 0.23/0.44 % (14065)------------------------------ 0.23/0.44 % (14065)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.44 % (14065)Termination reason: Unknown 0.23/0.44 % (14065)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (14065)Memory used [KB]: 1279 0.23/0.44 % (14065)Time elapsed: 0.004 s 0.23/0.44 % (14065)Instructions burned: 3 (million) 0.23/0.44 % (14065)------------------------------ 0.23/0.44 % (14065)------------------------------ 0.23/0.45 % (14067)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_13815 for (2399ds/1041Mi) 0.23/0.45 % (14068)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/7Mi) 0.23/0.45 % (14069)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/16Mi) 0.23/0.45 % (14068)Instruction limit reached! 0.23/0.45 % (14068)------------------------------ 0.23/0.45 % (14068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (14068)Termination reason: Unknown 0.23/0.45 % (14068)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (14068)Memory used [KB]: 1407 0.23/0.45 % (14068)Time elapsed: 0.006 s 0.23/0.45 % (14068)Instructions burned: 7 (million) 0.23/0.45 % (14068)------------------------------ 0.23/0.45 % (14068)------------------------------ 0.23/0.45 % (14061)Instruction limit reached! 0.23/0.45 % (14061)------------------------------ 0.23/0.45 % (14061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (14061)Termination reason: Unknown 0.23/0.45 % (14061)Termination phase: Property scanning 0.23/0.45 0.23/0.45 % (14061)Memory used [KB]: 1791 0.23/0.45 % (14061)Time elapsed: 0.022 s 0.23/0.45 % (14061)Instructions burned: 38 (million) 0.23/0.45 % (14061)------------------------------ 0.23/0.45 % (14061)------------------------------ 0.23/0.46 % (14069)Instruction limit reached! 0.23/0.46 % (14069)------------------------------ 0.23/0.46 % (14069)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.46 % (14069)Termination reason: Unknown 0.23/0.46 % (14069)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (14069)Memory used [KB]: 1663 0.23/0.46 % (14069)Time elapsed: 0.011 s 0.23/0.46 % (14069)Instructions burned: 17 (million) 0.23/0.46 % (14069)------------------------------ 0.23/0.46 % (14069)------------------------------ 0.23/0.46 % (14076)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_13815 for (2399ds/3Mi) 0.23/0.46 % (14077)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_13815 for (2399ds/3Mi) 0.23/0.46 % (14076)Instruction limit reached! 0.23/0.46 % (14076)------------------------------ 0.23/0.46 % (14076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.46 % (14076)Termination reason: Unknown 0.23/0.46 % (14076)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (14076)Memory used [KB]: 1279 0.23/0.46 % (14076)Time elapsed: 0.004 s 0.23/0.46 % (14076)Instructions burned: 3 (million) 0.23/0.46 % (14076)------------------------------ 0.23/0.46 % (14076)------------------------------ 0.23/0.46 % (14077)Instruction limit reached! 0.23/0.46 % (14077)------------------------------ 0.23/0.46 % (14077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.46 % (14077)Termination reason: Unknown 0.23/0.46 % (14077)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (14077)Memory used [KB]: 1279 0.23/0.46 % (14077)Time elapsed: 0.004 s 0.23/0.46 % (14077)Instructions burned: 3 (million) 0.23/0.46 % (14077)------------------------------ 0.23/0.46 % (14077)------------------------------ 0.23/0.47 % (14086)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_13815 for (2399ds/7Mi) 0.23/0.47 % (14088)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_13815 for (2399ds/3Mi) 0.23/0.47 % (14088)Instruction limit reached! 0.23/0.47 % (14088)------------------------------ 0.23/0.47 % (14088)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (14088)Termination reason: Unknown 0.23/0.47 % (14088)Termination phase: shuffling 0.23/0.47 0.23/0.47 % (14088)Memory used [KB]: 1279 0.23/0.47 % (14088)Time elapsed: 0.004 s 0.23/0.47 % (14088)Instructions burned: 4 (million) 0.23/0.47 % (14088)------------------------------ 0.23/0.47 % (14088)------------------------------ 0.23/0.47 % (14086)Instruction limit reached! 0.23/0.47 % (14086)------------------------------ 0.23/0.47 % (14086)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (14086)Termination reason: Unknown 0.23/0.47 % (14086)Termination phase: shuffling 0.23/0.47 0.23/0.47 % (14086)Memory used [KB]: 1407 0.23/0.47 % (14086)Time elapsed: 0.007 s 0.23/0.47 % (14086)Instructions burned: 8 (million) 0.23/0.47 % (14086)------------------------------ 0.23/0.47 % (14086)------------------------------ 0.23/0.47 % (14092)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/4Mi) 0.23/0.48 % (14093)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_13815 for (2399ds/18Mi) 0.23/0.48 % (14092)Instruction limit reached! 0.23/0.48 % (14092)------------------------------ 0.23/0.48 % (14092)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.48 % (14092)Termination reason: Unknown 0.23/0.48 % (14092)Termination phase: shuffling 0.23/0.48 0.23/0.48 % (14092)Memory used [KB]: 1279 0.23/0.48 % (14092)Time elapsed: 0.005 s 0.23/0.48 % (14092)Instructions burned: 4 (million) 0.23/0.48 % (14092)------------------------------ 0.23/0.48 % (14092)------------------------------ 0.23/0.48 % (14095)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/710Mi) 0.23/0.49 % (14093)Instruction limit reached! 0.23/0.49 % (14093)------------------------------ 0.23/0.49 % (14093)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.49 % (14093)Termination reason: Unknown 0.23/0.49 % (14093)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (14093)Memory used [KB]: 1663 0.23/0.49 % (14093)Time elapsed: 0.012 s 0.23/0.49 % (14093)Instructions burned: 18 (million) 0.23/0.49 % (14093)------------------------------ 0.23/0.49 % (14093)------------------------------ 0.23/0.49 % (14101)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/6Mi) 0.23/0.49 % (14102)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_13815 for (2399ds/902Mi) 0.23/0.49 % (14101)Instruction limit reached! 0.23/0.49 % (14101)------------------------------ 0.23/0.49 % (14101)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.49 % (14101)Termination reason: Unknown 0.23/0.49 % (14101)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (14101)Memory used [KB]: 1407 0.23/0.49 % (14101)Time elapsed: 0.006 s 0.23/0.49 % (14101)Instructions burned: 7 (million) 0.23/0.49 % (14101)------------------------------ 0.23/0.49 % (14101)------------------------------ 0.23/0.49 % (14105)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_13815 for (2399ds/21Mi) 0.23/0.50 % (14095)Refutation not found, incomplete strategy 0.23/0.50 % (14095)------------------------------ 0.23/0.50 % (14095)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (14095)Termination reason: Refutation not found, incomplete strategy 0.23/0.50 0.23/0.50 0.23/0.50 % (14095)Memory used [KB]: 6140 0.23/0.50 % (14095)Time elapsed: 0.018 s 0.23/0.50 % (14095)Instructions burned: 24 (million) 0.23/0.50 % (14095)------------------------------ 0.23/0.50 % (14095)------------------------------ 0.23/0.50 % (14114)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_13815 for (2399ds/5Mi) 0.23/0.50 % (14114)Instruction limit reached! 0.23/0.50 % (14114)------------------------------ 0.23/0.50 % (14114)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (14114)Termination reason: Unknown 0.23/0.50 % (14114)Termination phase: shuffling 0.23/0.50 0.23/0.50 % (14114)Memory used [KB]: 1279 0.23/0.50 % (14114)Time elapsed: 0.005 s 0.23/0.50 % (14114)Instructions burned: 5 (million) 0.23/0.50 % (14114)------------------------------ 0.23/0.50 % (14114)------------------------------ 0.23/0.51 % (14105)Instruction limit reached! 0.23/0.51 % (14105)------------------------------ 0.23/0.51 % (14105)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.51 % (14105)Termination reason: Unknown 0.23/0.51 % (14105)Termination phase: shuffling 0.23/0.51 0.23/0.51 % (14105)Memory used [KB]: 1663 0.23/0.51 % (14105)Time elapsed: 0.014 s 0.23/0.51 % (14105)Instructions burned: 22 (million) 0.23/0.51 % (14105)------------------------------ 0.23/0.51 % (14105)------------------------------ 0.23/0.51 % (14118)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_13815 for (2399ds/6Mi) 0.23/0.51 % (14118)Instruction limit reached! 0.23/0.51 % (14118)------------------------------ 0.23/0.51 % (14118)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.51 % (14118)Termination reason: Unknown 0.23/0.51 % (14118)Termination phase: shuffling 0.23/0.51 0.23/0.51 % (14118)Memory used [KB]: 1407 0.23/0.51 % (14118)Time elapsed: 0.006 s 0.23/0.51 % (14118)Instructions burned: 7 (million) 0.23/0.51 % (14118)------------------------------ 0.23/0.51 % (14118)------------------------------ 0.23/0.52 % (14048)Instruction limit reached! 0.23/0.52 % (14048)------------------------------ 0.23/0.52 % (14048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.52 % (14124)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/377Mi) 0.23/0.52 % (14048)Termination reason: Unknown 0.23/0.52 % (14048)Termination phase: Saturation 0.23/0.52 0.23/0.52 % (14048)Memory used [KB]: 7547 0.23/0.52 % (14048)Time elapsed: 0.103 s 0.23/0.52 % (14048)Instructions burned: 183 (million) 0.23/0.52 % (14048)------------------------------ 0.23/0.52 % (14048)------------------------------ 0.23/0.52 % (14129)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_13815 for (2398ds/779Mi) 0.23/0.52 % (14130)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_13815 for (2398ds/19Mi) 0.23/0.53 % (14136)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_13815 for (2398ds/879Mi) 0.23/0.53 % (14130)Instruction limit reached! 0.23/0.53 % (14130)------------------------------ 0.23/0.53 % (14130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.53 % (14130)Termination reason: Unknown 0.23/0.53 % (14130)Termination phase: shuffling 0.23/0.53 0.23/0.53 % (14130)Memory used [KB]: 1663 0.23/0.53 % (14130)Time elapsed: 0.012 s 0.23/0.53 % (14130)Instructions burned: 19 (million) 0.23/0.53 % (14130)------------------------------ 0.23/0.53 % (14130)------------------------------ 0.23/0.53 % (14142)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/17Mi) 0.23/0.54 % (14142)Instruction limit reached! 0.23/0.54 % (14142)------------------------------ 0.23/0.54 % (14142)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.54 % (14142)Termination reason: Unknown 0.23/0.54 % (14142)Termination phase: shuffling 0.23/0.54 0.23/0.54 % (14142)Memory used [KB]: 1663 0.23/0.54 % (14142)Time elapsed: 0.012 s 0.23/0.54 % (14142)Instructions burned: 18 (million) 0.23/0.54 % (14142)------------------------------ 0.23/0.54 % (14142)------------------------------ 0.23/0.55 % (14148)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/3Mi) 0.23/0.55 % (14148)Instruction limit reached! 0.23/0.55 % (14148)------------------------------ 0.23/0.55 % (14148)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.55 % (14148)Termination reason: Unknown 0.23/0.55 % (14148)Termination phase: shuffling 0.23/0.55 0.23/0.55 % (14148)Memory used [KB]: 1279 0.23/0.55 % (14148)Time elapsed: 0.003 s 0.23/0.55 % (14148)Instructions burned: 3 (million) 0.23/0.55 % (14148)------------------------------ 0.23/0.55 % (14148)------------------------------ 0.23/0.55 % (14136)Refutation not found, incomplete strategy 0.23/0.55 % (14136)------------------------------ 0.23/0.55 % (14136)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.55 % (14136)Termination reason: Refutation not found, incomplete strategy 0.23/0.55 0.23/0.55 0.23/0.55 % (14136)Memory used [KB]: 6268 0.23/0.55 % (14136)Time elapsed: 0.024 s 0.23/0.55 % (14136)Instructions burned: 52 (million) 0.23/0.55 % (14136)------------------------------ 0.23/0.55 % (14136)------------------------------ 0.23/0.56 % (14154)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/127Mi) 0.23/0.56 % (14153)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/30Mi) 0.23/0.56 % (14155)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/100Mi) 1.34/0.57 % (14153)Instruction limit reached! 1.34/0.57 % (14153)------------------------------ 1.34/0.57 % (14153)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.34/0.57 % (14153)Termination reason: Unknown 1.34/0.57 % (14153)Termination phase: Property scanning 1.34/0.57 1.34/0.57 % (14153)Memory used [KB]: 1791 1.34/0.57 % (14153)Time elapsed: 0.017 s 1.34/0.57 % (14153)Instructions burned: 30 (million) 1.34/0.57 % (14153)------------------------------ 1.34/0.57 % (14153)------------------------------ 1.44/0.58 % (14156)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_13815 for (2398ds/3Mi) 1.44/0.59 % (14156)Instruction limit reached! 1.44/0.59 % (14156)------------------------------ 1.44/0.59 % (14156)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.44/0.59 % (14156)Termination reason: Unknown 1.44/0.59 % (14156)Termination phase: shuffling 1.44/0.59 1.44/0.59 % (14156)Memory used [KB]: 1279 1.44/0.59 % (14156)Time elapsed: 0.003 s 1.44/0.59 % (14156)Instructions burned: 3 (million) 1.44/0.59 % (14156)------------------------------ 1.44/0.59 % (14156)------------------------------ 1.44/0.59 % (14155)Instruction limit reached! 1.44/0.59 % (14155)------------------------------ 1.44/0.59 % (14155)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.44/0.59 % (14155)Termination reason: Unknown 1.44/0.59 % (14155)Termination phase: Saturation 1.44/0.59 1.44/0.59 % (14155)Memory used [KB]: 6652 1.44/0.59 % (14155)Time elapsed: 0.031 s 1.44/0.59 % (14155)Instructions burned: 100 (million) 1.44/0.59 % (14155)------------------------------ 1.44/0.59 % (14155)------------------------------ 1.44/0.59 % (14102)Refutation not found, incomplete strategy 1.44/0.59 % (14102)------------------------------ 1.44/0.59 % (14102)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.44/0.59 % (14102)Termination reason: Refutation not found, incomplete strategy 1.44/0.59 1.44/0.59 1.44/0.59 % (14102)Memory used [KB]: 8187 1.44/0.59 % (14102)Time elapsed: 0.105 s 1.44/0.59 % (14102)Instructions burned: 259 (million) 1.44/0.59 % (14102)------------------------------ 1.44/0.59 % (14102)------------------------------ 1.44/0.59 % (14157)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_13815 for (2397ds/20Mi) 1.44/0.60 % (14154)Instruction limit reached! 1.44/0.60 % (14154)------------------------------ 1.44/0.60 % (14154)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.44/0.60 % (14154)Termination reason: Unknown 1.44/0.60 % (14154)Termination phase: Saturation 1.44/0.60 1.44/0.60 % (14154)Memory used [KB]: 6780 1.44/0.60 % (14154)Time elapsed: 0.061 s 1.44/0.60 % (14154)Instructions burned: 129 (million) 1.44/0.60 % (14154)------------------------------ 1.44/0.60 % (14154)------------------------------ 1.44/0.60 % (14124)First to succeed. 1.44/0.60 % (14158)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_13815 for (2397ds/86Mi) 1.44/0.60 % (14124)Refutation found. Thanks to Tanya! 1.44/0.60 % SZS status Theorem for E---3.1_13815 1.44/0.60 % SZS output start Proof for E---3.1_13815 1.44/0.60 thf(type_def_5, type, term: $tType). 1.44/0.60 thf(type_def_7, type, subst: $tType). 1.44/0.60 thf(func_def_0, type, term: $tType). 1.44/0.60 thf(func_def_1, type, subst: $tType). 1.44/0.60 thf(func_def_2, type, one: term). 1.44/0.60 thf(func_def_3, type, ap: term > term > term). 1.44/0.60 thf(func_def_4, type, lam: term > term). 1.44/0.60 thf(func_def_5, type, sub: term > subst > term). 1.44/0.60 thf(func_def_6, type, id: subst). 1.44/0.60 thf(func_def_7, type, sh: subst). 1.44/0.60 thf(func_def_8, type, push: term > subst > subst). 1.44/0.60 thf(func_def_9, type, comp: subst > subst > subst). 1.44/0.60 thf(func_def_10, type, var: term > $o). 1.44/0.60 thf(func_def_18, type, hoasap: subst > term > subst > term > term). 1.44/0.60 thf(func_def_73, type, hoaslam: subst > (subst > term > term) > term). 1.44/0.60 thf(func_def_86, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o). 1.44/0.60 thf(func_def_107, type, hoasvar: subst > term > subst > $o). 1.44/0.60 thf(func_def_121, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o). 1.44/0.60 thf(func_def_143, type, sK1: term > subst > (term > $o) > term > $o). 1.44/0.60 thf(func_def_144, type, sK2: (term > $o) > term). 1.44/0.60 thf(func_def_145, type, sK3: term > $o). 1.44/0.60 thf(func_def_146, type, sK4: term). 1.44/0.60 thf(func_def_147, type, sK5: subst). 1.44/0.60 thf(func_def_148, type, sK6: term). 1.44/0.60 thf(func_def_149, type, ph7: !>[X0: $tType]:(X0)). 1.44/0.60 thf(f1204,plain,( 1.44/0.60 $false), 1.44/0.60 inference(avatar_sat_refutation,[],[f1032,f1050,f1191,f1195,f1203])). 1.44/0.60 thf(f1203,plain,( 1.44/0.60 ~spl0_10), 1.44/0.60 inference(avatar_contradiction_clause,[],[f1202])). 1.44/0.60 thf(f1202,plain,( 1.44/0.60 $false | ~spl0_10), 1.44/0.60 inference(trivial_inequality_removal,[],[f1201])). 1.44/0.60 thf(f1201,plain,( 1.44/0.60 ($true = $false) | ~spl0_10), 1.44/0.60 inference(backward_demodulation,[],[f590,f1200])). 1.44/0.60 thf(f1200,plain,( 1.44/0.60 ($false = (sK3 @ sK4)) | ~spl0_10), 1.44/0.60 inference(forward_demodulation,[],[f1199,f546])). 1.44/0.60 thf(f546,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : term] : (((sub @ one @ (push @ X1 @ X2)) = X1)) )), 1.44/0.60 inference(equality_proxy_clausification,[],[f545])). 1.44/0.60 thf(f545,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : term] : ((((sub @ one @ (push @ X1 @ X2)) = X1) = $true)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f544])). 1.44/0.60 thf(f544,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : term] : (($true = ((^[Y0 : subst]: ((sub @ one @ (push @ X1 @ Y0)) = X1)) @ X2))) )), 1.44/0.60 inference(pi_clausification,[],[f543])). 1.44/0.60 thf(f543,plain,( 1.44/0.60 ( ! [X1 : term] : (((!! @ subst @ (^[Y0 : subst]: ((sub @ one @ (push @ X1 @ Y0)) = X1))) = $true)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f542])). 1.44/0.60 thf(f542,plain,( 1.44/0.60 ( ! [X1 : term] : ((((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0)))) @ X1) = $true)) )), 1.44/0.60 inference(pi_clausification,[],[f541])). 1.44/0.60 thf(f541,plain,( 1.44/0.60 ($true = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))), 1.44/0.60 inference(binary_proxy_clausification,[],[f538])). 1.44/0.60 thf(f538,plain,( 1.44/0.60 (((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f523])). 1.44/0.60 thf(f523,plain,( 1.44/0.60 (((var @ one) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2))))))))))))))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f522])). 1.44/0.60 thf(f522,plain,( 1.44/0.60 (((!! @ subst @ (^[Y0 : subst]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: (?? @ (term > $o) @ (^[Y3 : term > $o]: (!! @ term @ (^[Y4 : term]: ((Y3 @ Y4) = (Y1 @ (sub @ Y4 @ (push @ Y2 @ Y0)))))))))))))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))))))) != $true)), 1.44/0.60 inference(beta_eta_normalization,[],[f521])). 1.44/0.60 thf(f521,plain,( 1.44/0.60 (((!! @ subst @ (^[Y0 : subst]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: (?? @ (term > $o) @ (^[Y3 : term > $o]: ((^[Y4 : term]: ((^[Y5 : subst]: ((^[Y6 : term > $o]: ((^[Y7 : term > $o]: (!! @ term @ (^[Y8 : term]: ((Y7 @ Y8) = (Y6 @ (sub @ Y8 @ (push @ Y4 @ Y5))))))))))))) @ Y2 @ Y0 @ Y1 @ Y3))))))))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))))))) != $true)), 1.44/0.60 inference(definition_unfolding,[],[f369,f493])). 1.44/0.60 thf(f493,plain,( 1.44/0.60 (pushprop_lthm = ((!! @ subst @ (^[Y0 : subst]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: (?? @ (term > $o) @ (^[Y3 : term > $o]: ((^[Y4 : term]: ((^[Y5 : subst]: ((^[Y6 : term > $o]: ((^[Y7 : term > $o]: (!! @ term @ (^[Y8 : term]: ((Y7 @ Y8) = (Y6 @ (sub @ Y8 @ (push @ Y4 @ Y5))))))))))))) @ Y2 @ Y0 @ Y1 @ Y3))))))))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))))))))), 1.44/0.60 inference(definition_unfolding,[],[f366,f446,f442,f392,f440,f334,f371,f439])). 1.44/0.60 thf(f439,plain,( 1.44/0.60 (pushprop = (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))), 1.44/0.60 inference(cnf_transformation,[],[f157])). 1.44/0.60 thf(f157,plain,( 1.44/0.60 (pushprop = (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))), 1.44/0.60 inference(fool_elimination,[],[f156])). 1.44/0.60 thf(f156,plain,( 1.44/0.60 (pushprop = ! [X0 : subst,X1 : term,X2 : term > $o] : (! [X3 : term] : ((var @ X3) => (X2 @ (sub @ X3 @ X0))) => ((X2 @ X1) => ! [X4 : term] : ((var @ X4) => (X2 @ (sub @ X4 @ (push @ X1 @ X0)))))))), 1.44/0.60 inference(rectify,[],[f39])). 1.44/0.60 thf(f39,axiom,( 1.44/0.60 (pushprop = ! [X2 : subst,X0 : term,X5 : term > $o] : (! [X1 : term] : ((var @ X1) => (X5 @ (sub @ X1 @ X2))) => ((X5 @ X0) => ! [X1 : term] : ((var @ X1) => (X5 @ (sub @ X1 @ (push @ X0 @ X2)))))))), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',pushprop)). 1.44/0.60 thf(f371,plain,( 1.44/0.60 (ulamvarind = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))))), 1.44/0.60 inference(cnf_transformation,[],[f183])). 1.44/0.60 thf(f183,plain,( 1.44/0.60 (ulamvarind = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))))), 1.44/0.60 inference(fool_elimination,[],[f182])). 1.44/0.60 thf(f182,plain,( 1.44/0.60 (ulamvarind = ! [X0 : term > $o] : ((X0 @ one) => (! [X1 : term] : ((var @ X1) => ((X0 @ X1) => (X0 @ (sub @ X1 @ sh)))) => ! [X2 : term] : ((var @ X2) => (X0 @ X2)))))), 1.44/0.60 inference(rectify,[],[f15])). 1.44/0.60 thf(f15,axiom,( 1.44/0.60 (ulamvarind = ! [X5 : term > $o] : ((X5 @ one) => (! [X0 : term] : ((var @ X0) => ((X5 @ X0) => (X5 @ (sub @ X0 @ sh)))) => ! [X0 : term] : ((var @ X0) => (X5 @ X0)))))), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',ulamvarind)). 1.44/0.60 thf(f334,plain,( 1.44/0.60 (axshiftcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))))), 1.44/0.60 inference(cnf_transformation,[],[f167])). 1.44/0.60 thf(f167,plain,( 1.44/0.60 (axshiftcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))))), 1.44/0.60 inference(fool_elimination,[],[f166])). 1.44/0.60 thf(f166,plain,( 1.44/0.60 (! [X0 : subst,X1 : term] : ((comp @ sh @ (push @ X1 @ X0)) = X0) = axshiftcons)), 1.44/0.60 inference(rectify,[],[f7])). 1.44/0.60 thf(f7,axiom,( 1.44/0.60 (! [X2 : subst,X0 : term] : ((comp @ sh @ (push @ X0 @ X2)) = X2) = axshiftcons)), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',axshiftcons)). 1.44/0.60 thf(f440,plain,( 1.44/0.60 (axclos = (!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))))), 1.44/0.60 inference(cnf_transformation,[],[f165])). 1.44/0.60 thf(f165,plain,( 1.44/0.60 (axclos = (!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))))), 1.44/0.60 inference(fool_elimination,[],[f164])). 1.44/0.60 thf(f164,plain,( 1.44/0.60 (! [X0 : term,X1 : subst,X2 : subst] : ((sub @ (sub @ X0 @ X2) @ X1) = (sub @ X0 @ (comp @ X2 @ X1))) = axclos)), 1.44/0.60 inference(rectify,[],[f5])). 1.44/0.60 thf(f5,axiom,( 1.44/0.60 (! [X0 : term,X3 : subst,X2 : subst] : ((sub @ (sub @ X0 @ X2) @ X3) = (sub @ X0 @ (comp @ X2 @ X3))) = axclos)), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',axclos)). 1.44/0.60 thf(f392,plain,( 1.44/0.60 (axvarcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))), 1.44/0.60 inference(cnf_transformation,[],[f207])). 1.44/0.60 thf(f207,plain,( 1.44/0.60 (axvarcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))), 1.44/0.60 inference(fool_elimination,[],[f206])). 1.44/0.60 thf(f206,plain,( 1.44/0.60 (! [X0 : subst,X1 : term] : ((sub @ one @ (push @ X1 @ X0)) = X1) = axvarcons)), 1.44/0.60 inference(rectify,[],[f2])). 1.44/0.60 thf(f2,axiom,( 1.44/0.60 (! [X2 : subst,X0 : term] : ((sub @ one @ (push @ X0 @ X2)) = X0) = axvarcons)), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',axvarcons)). 1.44/0.60 thf(f442,plain,( 1.44/0.60 (ulamvar1 = (var @ one))), 1.44/0.60 inference(cnf_transformation,[],[f13])). 1.44/0.60 thf(f13,axiom,( 1.44/0.60 (ulamvar1 = (var @ one))), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',ulamvar1)). 1.44/0.60 thf(f446,plain,( 1.44/0.60 (pushprop_lem0 = (!! @ subst @ (^[Y0 : subst]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: (?? @ (term > $o) @ (^[Y3 : term > $o]: ((^[Y4 : term]: ((^[Y5 : subst]: ((^[Y6 : term > $o]: ((^[Y7 : term > $o]: (!! @ term @ (^[Y8 : term]: ((Y7 @ Y8) = (Y6 @ (sub @ Y8 @ (push @ Y4 @ Y5))))))))))))) @ Y2 @ Y0 @ Y1 @ Y3))))))))))), 1.44/0.60 inference(definition_unfolding,[],[f342,f378])). 1.44/0.60 thf(f378,plain,( 1.44/0.60 (pushprop_p_and_p_prime = (^[Y0 : term]: ((^[Y1 : subst]: ((^[Y2 : term > $o]: ((^[Y3 : term > $o]: (!! @ term @ (^[Y4 : term]: ((Y3 @ Y4) = (Y2 @ (sub @ Y4 @ (push @ Y0 @ Y1))))))))))))))), 1.44/0.60 inference(cnf_transformation,[],[f236])). 1.44/0.60 thf(f236,plain,( 1.44/0.60 (pushprop_p_and_p_prime = (^[Y0 : term]: ((^[Y1 : subst]: ((^[Y2 : term > $o]: ((^[Y3 : term > $o]: (!! @ term @ (^[Y4 : term]: ((Y3 @ Y4) = (Y2 @ (sub @ Y4 @ (push @ Y0 @ Y1))))))))))))))), 1.44/0.60 inference(fool_elimination,[],[f235])). 1.44/0.60 thf(f235,plain,( 1.44/0.60 (pushprop_p_and_p_prime = (^[X0 : term, X1 : subst, X2 : term > $o, X3 : term > $o] : (! [X4 : term] : ((X3 @ X4) <=> (X2 @ (sub @ X4 @ (push @ X0 @ X1)))))))), 1.44/0.60 inference(rectify,[],[f24])). 1.44/0.60 thf(f24,axiom,( 1.44/0.60 (pushprop_p_and_p_prime = (^[X0 : term, X2 : subst, X5 : term > $o, X8 : term > $o] : (! [X9 : term] : ((X8 @ X9) <=> (X5 @ (sub @ X9 @ (push @ X0 @ X2)))))))), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',pushprop_p_and_p_prime)). 1.44/0.60 thf(f342,plain,( 1.44/0.60 (pushprop_lem0 = (!! @ subst @ (^[Y0 : subst]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: (?? @ (term > $o) @ (^[Y3 : term > $o]: (pushprop_p_and_p_prime @ Y2 @ Y0 @ Y1 @ Y3))))))))))), 1.44/0.60 inference(cnf_transformation,[],[f322])). 1.44/0.60 thf(f322,plain,( 1.44/0.60 (pushprop_lem0 = (!! @ subst @ (^[Y0 : subst]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: (?? @ (term > $o) @ (^[Y3 : term > $o]: (pushprop_p_and_p_prime @ Y2 @ Y0 @ Y1 @ Y3))))))))))), 1.44/0.60 inference(fool_elimination,[],[f321])). 1.44/0.60 thf(f321,plain,( 1.44/0.60 (pushprop_lem0 = ! [X0 : term,X1 : term > $o,X2 : subst] : ? [X3 : term > $o] : (pushprop_p_and_p_prime @ X0 @ X2 @ X1 @ X3))), 1.44/0.60 inference(rectify,[],[f25])). 1.44/0.60 thf(f25,axiom,( 1.44/0.60 (pushprop_lem0 = ! [X0 : term,X5 : term > $o,X2 : subst] : ? [X8 : term > $o] : (pushprop_p_and_p_prime @ X0 @ X2 @ X5 @ X8))), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',pushprop_lem0)). 1.44/0.60 thf(f366,plain,( 1.44/0.60 (pushprop_lthm = (pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop)))))))), 1.44/0.60 inference(cnf_transformation,[],[f126])). 1.44/0.60 thf(f126,plain,( 1.44/0.60 (pushprop_lthm = (pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop)))))))), 1.44/0.60 inference(fool_elimination,[],[f125])). 1.44/0.60 thf(f125,plain,( 1.44/0.60 (pushprop_lthm = pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))))), 1.44/0.60 inference(rectify,[],[f42])). 1.44/0.60 thf(f42,axiom,( 1.44/0.60 (pushprop_lthm = pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))))), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',pushprop_lthm)). 1.44/0.60 thf(f369,plain,( 1.44/0.60 (pushprop_lthm != $true)), 1.44/0.60 inference(cnf_transformation,[],[f329])). 1.44/0.60 thf(f329,plain,( 1.44/0.60 (pushprop_lthm != $true)), 1.44/0.60 inference(flattening,[],[f299])). 1.44/0.60 thf(f299,plain,( 1.44/0.60 ~(pushprop_lthm = $true)), 1.44/0.60 inference(fool_elimination,[],[f298])). 1.44/0.60 thf(f298,plain,( 1.44/0.60 ~pushprop_lthm), 1.44/0.60 inference(rectify,[],[f115])). 1.44/0.60 thf(f115,negated_conjecture,( 1.44/0.60 ~pushprop_lthm), 1.44/0.60 inference(negated_conjecture,[],[f114])). 1.44/0.60 thf(f114,conjecture,( 1.44/0.60 pushprop_lthm), 1.44/0.60 file('/export/starexec/sandbox/tmp/tmp.nV1w8YvlEI/E---3.1_13815.p',thm)). 1.44/0.60 thf(f1199,plain,( 1.44/0.60 ((sK3 @ (sub @ one @ (push @ sK4 @ sK5))) = $false) | ~spl0_10), 1.44/0.60 inference(backward_demodulation,[],[f593,f1028])). 1.44/0.60 thf(f1028,plain,( 1.44/0.60 (one = sK6) | ~spl0_10), 1.44/0.60 inference(avatar_component_clause,[],[f1026])). 1.44/0.60 thf(f1026,plain,( 1.44/0.60 spl0_10 <=> (one = sK6)), 1.44/0.60 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 1.44/0.60 thf(f593,plain,( 1.44/0.60 ($false = (sK3 @ (sub @ sK6 @ (push @ sK4 @ sK5))))), 1.44/0.60 inference(binary_proxy_clausification,[],[f592])). 1.44/0.60 thf(f592,plain,( 1.44/0.60 (((var @ sK6) => (sK3 @ (sub @ sK6 @ (push @ sK4 @ sK5)))) = $false)), 1.44/0.60 inference(beta_eta_normalization,[],[f591])). 1.44/0.60 thf(f591,plain,( 1.44/0.60 (((^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ (push @ sK4 @ sK5))))) @ sK6) = $false)), 1.44/0.60 inference(sigma_clausification,[],[f589])). 1.44/0.60 thf(f589,plain,( 1.44/0.60 ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ (push @ sK4 @ sK5)))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f584])). 1.44/0.60 thf(f584,plain,( 1.44/0.60 (((sK3 @ sK4) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ (push @ sK4 @ sK5))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f583])). 1.44/0.60 thf(f583,plain,( 1.44/0.60 ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ sK5))))) => ((sK3 @ sK4) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ (push @ sK4 @ sK5)))))))))), 1.44/0.60 inference(beta_eta_normalization,[],[f582])). 1.44/0.60 thf(f582,plain,( 1.44/0.60 (((^[Y0 : subst]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK3 @ (sub @ Y1 @ Y0))))) => ((sK3 @ sK4) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK3 @ (sub @ Y1 @ (push @ sK4 @ Y0))))))))) @ sK5) = $false)), 1.44/0.60 inference(sigma_clausification,[],[f581])). 1.44/0.60 thf(f581,plain,( 1.44/0.60 ((!! @ subst @ (^[Y0 : subst]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK3 @ (sub @ Y1 @ Y0))))) => ((sK3 @ sK4) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK3 @ (sub @ Y1 @ (push @ sK4 @ Y0)))))))))) = $false)), 1.44/0.60 inference(beta_eta_normalization,[],[f580])). 1.44/0.60 thf(f580,plain,( 1.44/0.60 (((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK3 @ (sub @ Y2 @ Y1))))) => ((sK3 @ Y0) => (!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK3 @ (sub @ Y2 @ (push @ Y0 @ Y1))))))))))) @ sK4) = $false)), 1.44/0.60 inference(sigma_clausification,[],[f579])). 1.44/0.60 thf(f579,plain,( 1.44/0.60 ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK3 @ (sub @ Y2 @ Y1))))) => ((sK3 @ Y0) => (!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK3 @ (sub @ Y2 @ (push @ Y0 @ Y1)))))))))))) = $false)), 1.44/0.60 inference(beta_eta_normalization,[],[f578])). 1.44/0.60 thf(f578,plain,( 1.44/0.60 (((^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2))))))))))))) @ sK3) = $false)), 1.44/0.60 inference(sigma_clausification,[],[f563])). 1.44/0.60 thf(f563,plain,( 1.44/0.60 ((!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f556])). 1.44/0.60 thf(f556,plain,( 1.44/0.60 (((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2))))))))))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f547])). 1.44/0.60 thf(f547,plain,( 1.44/0.60 (((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2)))))))))))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f540])). 1.44/0.60 thf(f540,plain,( 1.44/0.60 (((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => ((Y0 @ Y1) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ (push @ Y1 @ Y2))))))))))))))))) = $false)), 1.44/0.60 inference(binary_proxy_clausification,[],[f538])). 1.44/0.60 thf(f590,plain,( 1.44/0.60 ($true = (sK3 @ sK4))), 1.44/0.60 inference(binary_proxy_clausification,[],[f584])). 1.44/0.60 thf(f1195,plain,( 1.44/0.60 ~spl0_12), 1.44/0.60 inference(avatar_contradiction_clause,[],[f1194])). 1.44/0.60 thf(f1194,plain,( 1.44/0.60 $false | ~spl0_12), 1.44/0.60 inference(trivial_inequality_removal,[],[f1193])). 1.44/0.60 thf(f1193,plain,( 1.44/0.60 ($true = $false) | ~spl0_12), 1.44/0.60 inference(backward_demodulation,[],[f594,f1185])). 1.44/0.60 thf(f1185,plain,( 1.44/0.60 ($false = (var @ sK6)) | ~spl0_12), 1.44/0.60 inference(avatar_component_clause,[],[f1183])). 1.44/0.60 thf(f1183,plain,( 1.44/0.60 spl0_12 <=> ($false = (var @ sK6))), 1.44/0.60 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 1.44/0.60 thf(f594,plain,( 1.44/0.60 ($true = (var @ sK6))), 1.44/0.60 inference(binary_proxy_clausification,[],[f592])). 1.44/0.60 thf(f1191,plain,( 1.44/0.60 spl0_10 | spl0_12 | ~spl0_11), 1.44/0.60 inference(avatar_split_clause,[],[f1173,f1047,f1183,f1026])). 1.44/0.60 thf(f1047,plain,( 1.44/0.60 spl0_11 <=> ((sK3 @ (sub @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0)))) @ sK5)) = $false)), 1.44/0.60 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 1.44/0.60 thf(f1173,plain,( 1.44/0.60 (one = sK6) | ($false = (var @ sK6)) | ~spl0_11), 1.44/0.60 inference(trivial_inequality_removal,[],[f1161])). 1.44/0.60 thf(f1161,plain,( 1.44/0.60 ($true = $false) | (one = sK6) | ($false = (var @ sK6)) | ~spl0_11), 1.44/0.60 inference(superposition,[],[f1158,f603])). 1.44/0.60 thf(f603,plain,( 1.44/0.60 ( ! [X0 : term] : (($true = (var @ (sK2 @ (^[Y0 : term]: (~ (X0 = Y0)))))) | (one = X0) | ((var @ X0) = $false)) )), 1.44/0.60 inference(leibniz_equality_elimination,[],[f575])). 1.44/0.60 thf(f575,plain,( 1.44/0.60 ( ! [X2 : term,X1 : term > $o] : (($true = (var @ (sK2 @ X1))) | ((var @ X2) = $false) | ((X1 @ one) = $false) | ((X1 @ X2) = $true)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f573])). 1.44/0.60 thf(f573,plain,( 1.44/0.60 ( ! [X2 : term,X1 : term > $o] : (((var @ X2) = $false) | ((X1 @ X2) = $true) | ((X1 @ one) = $false) | (((var @ (sK2 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (sub @ (sK2 @ X1) @ sh)))) = $false)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f572])). 1.44/0.60 thf(f572,plain,( 1.44/0.60 ( ! [X2 : term,X1 : term > $o] : (($true = ((var @ X2) => (X1 @ X2))) | (((var @ (sK2 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (sub @ (sK2 @ X1) @ sh)))) = $false) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f571])). 1.44/0.60 thf(f571,plain,( 1.44/0.60 ( ! [X2 : term,X1 : term > $o] : (($true = ((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ X2)) | (((var @ (sK2 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (sub @ (sK2 @ X1) @ sh)))) = $false) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(pi_clausification,[],[f570])). 1.44/0.60 thf(f570,plain,( 1.44/0.60 ( ! [X1 : term > $o] : (($true = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))) | (((var @ (sK2 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (sub @ (sK2 @ X1) @ sh)))) = $false) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f569])). 1.44/0.60 thf(f569,plain,( 1.44/0.60 ( ! [X1 : term > $o] : (($true = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))) | ((X1 @ one) = $false) | (((^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh))))) @ (sK2 @ X1)) = $false)) )), 1.44/0.60 inference(sigma_clausification,[],[f568])). 1.44/0.60 thf(f568,plain,( 1.44/0.60 ( ! [X1 : term > $o] : (((!! @ term @ (^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh)))))) = $false) | ($true = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f567])). 1.44/0.60 thf(f567,plain,( 1.44/0.60 ( ! [X1 : term > $o] : ((((!! @ term @ (^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh)))))) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))) = $true) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f566])). 1.44/0.60 thf(f566,plain,( 1.44/0.60 ( ! [X1 : term > $o] : (($true = ((X1 @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh)))))) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))))) )), 1.44/0.60 inference(beta_eta_normalization,[],[f565])). 1.44/0.60 thf(f565,plain,( 1.44/0.60 ( ! [X1 : term > $o] : (($true = ((^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1))))))) @ X1))) )), 1.44/0.60 inference(pi_clausification,[],[f564])). 1.44/0.60 thf(f564,plain,( 1.44/0.60 ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) = $true)), 1.44/0.60 inference(binary_proxy_clausification,[],[f556])). 1.44/0.60 thf(f1158,plain,( 1.44/0.60 ((var @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0))))) = $false) | ~spl0_11), 1.44/0.60 inference(trivial_inequality_removal,[],[f1151])). 1.44/0.60 thf(f1151,plain,( 1.44/0.60 ($true = $false) | ((var @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0))))) = $false) | ~spl0_11), 1.44/0.60 inference(superposition,[],[f1049,f588])). 1.44/0.60 thf(f588,plain,( 1.44/0.60 ( ! [X1 : term] : (($true = (sK3 @ (sub @ X1 @ sK5))) | ((var @ X1) = $false)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f587])). 1.44/0.60 thf(f587,plain,( 1.44/0.60 ( ! [X1 : term] : (($true = ((var @ X1) => (sK3 @ (sub @ X1 @ sK5))))) )), 1.44/0.60 inference(beta_eta_normalization,[],[f586])). 1.44/0.60 thf(f586,plain,( 1.44/0.60 ( ! [X1 : term] : ((((^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ sK5)))) @ X1) = $true)) )), 1.44/0.60 inference(pi_clausification,[],[f585])). 1.44/0.60 thf(f585,plain,( 1.44/0.60 ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK3 @ (sub @ Y0 @ sK5))))) = $true)), 1.44/0.60 inference(binary_proxy_clausification,[],[f583])). 1.44/0.60 thf(f1049,plain,( 1.44/0.60 ((sK3 @ (sub @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0)))) @ sK5)) = $false) | ~spl0_11), 1.44/0.60 inference(avatar_component_clause,[],[f1047])). 1.44/0.60 thf(f1050,plain,( 1.44/0.60 spl0_10 | spl0_11 | ~spl0_9), 1.44/0.60 inference(avatar_split_clause,[],[f1045,f1023,f1047,f1026])). 1.44/0.60 thf(f1023,plain,( 1.44/0.60 spl0_9 <=> ! [X0 : term] : ((sK3 @ (sub @ sK6 @ (push @ X0 @ sK5))) = $false)), 1.44/0.60 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 1.44/0.60 thf(f1045,plain,( 1.44/0.60 (one = sK6) | ((sK3 @ (sub @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0)))) @ sK5)) = $false) | ~spl0_9), 1.44/0.60 inference(trivial_inequality_removal,[],[f1044])). 1.44/0.60 thf(f1044,plain,( 1.44/0.60 ($true = $false) | ((sK3 @ (sub @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0)))) @ sK5)) = $false) | (one = sK6) | ~spl0_9), 1.44/0.60 inference(forward_demodulation,[],[f1036,f594])). 1.44/0.60 thf(f1036,plain,( 1.44/0.60 ($false = (var @ sK6)) | ((sK3 @ (sub @ (sK2 @ (^[Y0 : term]: (~ (sK6 = Y0)))) @ sK5)) = $false) | (one = sK6) | ~spl0_9), 1.44/0.60 inference(superposition,[],[f1024,f899])). 1.44/0.60 thf(f899,plain,( 1.44/0.60 ( ! [X2 : term,X0 : term,X1 : subst] : (((sub @ X2 @ (push @ X0 @ X1)) = (sub @ (sK2 @ (^[Y0 : term]: (~ (X2 = Y0)))) @ X1)) | (one = X2) | ((var @ X2) = $false)) )), 1.44/0.60 inference(superposition,[],[f792,f562])). 1.44/0.60 thf(f562,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : term] : (((comp @ sh @ (push @ X1 @ X2)) = X2)) )), 1.44/0.60 inference(equality_proxy_clausification,[],[f561])). 1.44/0.60 thf(f561,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : term] : (($true = ((comp @ sh @ (push @ X1 @ X2)) = X2))) )), 1.44/0.60 inference(beta_eta_normalization,[],[f560])). 1.44/0.60 thf(f560,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : term] : ((((^[Y0 : subst]: ((comp @ sh @ (push @ X1 @ Y0)) = Y0)) @ X2) = $true)) )), 1.44/0.60 inference(pi_clausification,[],[f559])). 1.44/0.60 thf(f559,plain,( 1.44/0.60 ( ! [X1 : term] : (((!! @ subst @ (^[Y0 : subst]: ((comp @ sh @ (push @ X1 @ Y0)) = Y0))) = $true)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f558])). 1.44/0.60 thf(f558,plain,( 1.44/0.60 ( ! [X1 : term] : (($true = ((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1)))) @ X1))) )), 1.44/0.60 inference(pi_clausification,[],[f557])). 1.44/0.60 thf(f557,plain,( 1.44/0.60 ($true = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1))))))), 1.44/0.60 inference(binary_proxy_clausification,[],[f547])). 1.44/0.60 thf(f792,plain,( 1.44/0.60 ( ! [X0 : term,X1 : subst] : (((sub @ X0 @ X1) = (sub @ (sK2 @ (^[Y0 : term]: (~ (X0 = Y0)))) @ (comp @ sh @ X1))) | ((var @ X0) = $false) | (one = X0)) )), 1.44/0.60 inference(superposition,[],[f555,f779])). 1.44/0.60 thf(f779,plain,( 1.44/0.60 ( ! [X0 : term] : (((sub @ (sK2 @ (^[Y0 : term]: (~ (X0 = Y0)))) @ sh) = X0) | (one = X0) | ((var @ X0) = $false)) )), 1.44/0.60 inference(equality_proxy_clausification,[],[f778])). 1.44/0.60 thf(f778,plain,( 1.44/0.60 ( ! [X0 : term] : (((sub @ (sK2 @ (^[Y0 : term]: (~ (X0 = Y0)))) @ sh) = X0) | ((X0 = one) = $true) | ((var @ X0) = $false)) )), 1.44/0.60 inference(not_proxy_clausification,[],[f777])). 1.44/0.60 thf(f777,plain,( 1.44/0.60 ( ! [X0 : term] : (((~ (X0 = one)) = $false) | ((sub @ (sK2 @ (^[Y0 : term]: (~ (X0 = Y0)))) @ sh) = X0) | ((var @ X0) = $false)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f754])). 1.44/0.60 thf(f754,plain,( 1.44/0.60 ( ! [X0 : term] : (((sub @ (sK2 @ (^[Y0 : term]: (~ (X0 = Y0)))) @ sh) = X0) | (((^[Y0 : term]: (~ (X0 = Y0))) @ one) = $false) | ((var @ X0) = $false)) )), 1.44/0.60 inference(leibniz_equality_elimination,[],[f576])). 1.44/0.60 thf(f576,plain,( 1.44/0.60 ( ! [X2 : term,X1 : term > $o] : (((X1 @ (sub @ (sK2 @ X1) @ sh)) = $false) | ((var @ X2) = $false) | ((X1 @ X2) = $true) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f574])). 1.44/0.60 thf(f574,plain,( 1.44/0.60 ( ! [X2 : term,X1 : term > $o] : ((((X1 @ (sK2 @ X1)) => (X1 @ (sub @ (sK2 @ X1) @ sh))) = $false) | ((X1 @ X2) = $true) | ((var @ X2) = $false) | ((X1 @ one) = $false)) )), 1.44/0.60 inference(binary_proxy_clausification,[],[f573])). 1.44/0.60 thf(f555,plain,( 1.44/0.60 ( ! [X2 : subst,X3 : term,X1 : subst] : (((sub @ X3 @ (comp @ X1 @ X2)) = (sub @ (sub @ X3 @ X1) @ X2))) )), 1.44/0.60 inference(equality_proxy_clausification,[],[f554])). 1.44/0.60 thf(f554,plain,( 1.44/0.60 ( ! [X2 : subst,X3 : term,X1 : subst] : (($true = ((sub @ (sub @ X3 @ X1) @ X2) = (sub @ X3 @ (comp @ X1 @ X2))))) )), 1.44/0.60 inference(beta_eta_normalization,[],[f553])). 1.44/0.60 thf(f553,plain,( 1.44/0.60 ( ! [X2 : subst,X3 : term,X1 : subst] : ((((^[Y0 : term]: ((sub @ (sub @ Y0 @ X1) @ X2) = (sub @ Y0 @ (comp @ X1 @ X2)))) @ X3) = $true)) )), 1.44/0.60 inference(pi_clausification,[],[f552])). 1.44/0.60 thf(f552,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : subst] : (((!! @ term @ (^[Y0 : term]: ((sub @ (sub @ Y0 @ X1) @ X2) = (sub @ Y0 @ (comp @ X1 @ X2))))) = $true)) )), 1.44/0.60 inference(beta_eta_normalization,[],[f551])). 1.44/0.60 thf(f551,plain,( 1.44/0.60 ( ! [X2 : subst,X1 : subst] : (($true = ((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (sub @ Y1 @ X1) @ Y0) = (sub @ Y1 @ (comp @ X1 @ Y0)))))) @ X2))) )), 1.44/0.60 inference(pi_clausification,[],[f550])). 1.44/0.60 thf(f550,plain,( 1.44/0.60 ( ! [X1 : subst] : (($true = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (sub @ Y1 @ X1) @ Y0) = (sub @ Y1 @ (comp @ X1 @ Y0))))))))) )), 1.44/0.60 inference(beta_eta_normalization,[],[f549])). 1.44/0.60 thf(f549,plain,( 1.44/0.60 ( ! [X1 : subst] : ((((^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1)))))))) @ X1) = $true)) )), 1.44/0.60 inference(pi_clausification,[],[f548])). 1.44/0.60 thf(f548,plain,( 1.44/0.60 ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sub @ Y2 @ Y0) @ Y1) = (sub @ Y2 @ (comp @ Y0 @ Y1))))))))) = $true)), 1.44/0.60 inference(binary_proxy_clausification,[],[f540])). 1.44/0.60 thf(f1024,plain,( 1.44/0.60 ( ! [X0 : term] : (((sK3 @ (sub @ sK6 @ (push @ X0 @ sK5))) = $false)) ) | ~spl0_9), 1.44/0.60 inference(avatar_component_clause,[],[f1023])). 1.44/0.60 thf(f1032,plain,( 1.44/0.60 spl0_10 | spl0_9), 1.44/0.60 inference(avatar_split_clause,[],[f1031,f1023,f1026])). 1.44/0.60 thf(f1031,plain,( 1.44/0.60 ( ! [X0 : term] : (((sK3 @ (sub @ sK6 @ (push @ X0 @ sK5))) = $false) | (one = sK6)) )), 1.44/0.60 inference(trivial_inequality_removal,[],[f1030])). 1.44/0.60 thf(f1030,plain,( 1.44/0.60 ( ! [X0 : term] : ((one = sK6) | ($true = $false) | ((sK3 @ (sub @ sK6 @ (push @ X0 @ sK5))) = $false)) )), 1.44/0.60 inference(forward_demodulation,[],[f996,f594])). 1.44/0.60 thf(f996,plain,( 1.44/0.60 ( ! [X0 : term] : ((one = sK6) | ($false = (var @ sK6)) | ((sK3 @ (sub @ sK6 @ (push @ X0 @ sK5))) = $false)) )), 1.44/0.60 inference(superposition,[],[f593,f932])). 1.44/0.60 thf(f932,plain,( 1.44/0.60 ( ! [X2 : term,X3 : term,X0 : term,X1 : subst] : (((sub @ X0 @ (push @ X3 @ X1)) = (sub @ X0 @ (push @ X2 @ X1))) | (one = X0) | ((var @ X0) = $false)) )), 1.44/0.60 inference(duplicate_literal_removal,[],[f909])). 1.44/0.60 thf(f909,plain,( 1.44/0.60 ( ! [X2 : term,X3 : term,X0 : term,X1 : subst] : (((var @ X0) = $false) | (one = X0) | (one = X0) | ((sub @ X0 @ (push @ X3 @ X1)) = (sub @ X0 @ (push @ X2 @ X1))) | ((var @ X0) = $false)) )), 1.44/0.60 inference(superposition,[],[f899,f899])). 1.44/0.60 % SZS output end Proof for E---3.1_13815 1.44/0.60 % (14124)------------------------------ 1.44/0.60 % (14124)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.44/0.60 % (14124)Termination reason: Refutation 1.44/0.60 1.44/0.60 % (14124)Memory used [KB]: 7036 1.44/0.60 % (14124)Time elapsed: 0.087 s 1.44/0.60 % (14124)Instructions burned: 199 (million) 1.44/0.60 % (14124)------------------------------ 1.44/0.60 % (14124)------------------------------ 1.44/0.60 % (14047)Success in time 0.217 s 1.44/0.60 EOF