0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n009.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 10:14:54 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.12/0.38 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p -m 16384 -t 180 0.23/0.41 % (3867)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/183Mi) 0.23/0.41 % (3869)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_3758 for (1799ds/27Mi) 0.23/0.41 % (3870)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/2Mi) 0.23/0.41 % (3871)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_3758 for (1799ds/2Mi) 0.23/0.41 % (3868)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_3758 for (1799ds/4Mi) 0.23/0.41 % (3872)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_3758 for (1799ds/275Mi) 0.23/0.41 % (3873)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/18Mi) 0.23/0.41 % (3870)Instruction limit reached! 0.23/0.41 % (3870)------------------------------ 0.23/0.41 % (3870)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.41 % (3870)Termination reason: Unknown 0.23/0.41 % (3871)Instruction limit reached! 0.23/0.41 % (3871)------------------------------ 0.23/0.41 % (3871)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.41 % (3870)Termination phase: shuffling 0.23/0.41 0.23/0.41 % (3870)Memory used [KB]: 1279 0.23/0.41 % (3870)Time elapsed: 0.004 s 0.23/0.41 % (3870)Instructions burned: 3 (million) 0.23/0.41 % (3870)------------------------------ 0.23/0.41 % (3870)------------------------------ 0.23/0.41 % (3871)Termination reason: Unknown 0.23/0.41 % (3871)Termination phase: shuffling 0.23/0.41 0.23/0.41 % (3871)Memory used [KB]: 1279 0.23/0.41 % (3871)Time elapsed: 0.004 s 0.23/0.41 % (3871)Instructions burned: 3 (million) 0.23/0.41 % (3871)------------------------------ 0.23/0.41 % (3871)------------------------------ 0.23/0.41 % (3868)Instruction limit reached! 0.23/0.41 % (3868)------------------------------ 0.23/0.41 % (3868)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.41 % (3868)Termination reason: Unknown 0.23/0.42 % (3868)Termination phase: shuffling 0.23/0.42 0.23/0.42 % (3868)Memory used [KB]: 1279 0.23/0.42 % (3868)Time elapsed: 0.005 s 0.23/0.42 % (3868)Instructions burned: 5 (million) 0.23/0.42 % (3868)------------------------------ 0.23/0.42 % (3868)------------------------------ 0.23/0.42 % (3873)Instruction limit reached! 0.23/0.42 % (3873)------------------------------ 0.23/0.42 % (3873)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.42 % (3873)Termination reason: Unknown 0.23/0.42 % (3873)Termination phase: Property scanning 0.23/0.42 0.23/0.42 % (3873)Memory used [KB]: 1663 0.23/0.42 % (3873)Time elapsed: 0.013 s 0.23/0.42 % (3873)Instructions burned: 19 (million) 0.23/0.42 % (3873)------------------------------ 0.23/0.42 % (3873)------------------------------ 0.23/0.43 % (3869)Instruction limit reached! 0.23/0.43 % (3869)------------------------------ 0.23/0.43 % (3869)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (3869)Termination reason: Unknown 0.23/0.43 % (3869)Termination phase: Preprocessing 2 0.23/0.43 0.23/0.43 % (3869)Memory used [KB]: 1663 0.23/0.43 % (3869)Time elapsed: 0.017 s 0.23/0.43 % (3869)Instructions burned: 28 (million) 0.23/0.43 % (3869)------------------------------ 0.23/0.43 % (3869)------------------------------ 0.23/0.43 % (3876)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_3758 for (1799ds/15Mi) 0.23/0.43 % (3874)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_3758 for (1799ds/3Mi) 0.23/0.43 % (3875)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_3758 for (1799ds/37Mi) 0.23/0.43 % (3874)Instruction limit reached! 0.23/0.43 % (3874)------------------------------ 0.23/0.43 % (3874)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (3874)Termination reason: Unknown 0.23/0.43 % (3874)Termination phase: shuffling 0.23/0.43 0.23/0.43 % (3874)Memory used [KB]: 1279 0.23/0.43 % (3874)Time elapsed: 0.004 s 0.23/0.43 % (3874)Instructions burned: 3 (million) 0.23/0.43 % (3874)------------------------------ 0.23/0.43 % (3874)------------------------------ 0.23/0.43 % (3872)Refutation not found, incomplete strategy 0.23/0.43 % (3872)------------------------------ 0.23/0.43 % (3872)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.43 % (3872)Termination reason: Refutation not found, incomplete strategy 0.23/0.43 0.23/0.43 0.23/0.43 % (3872)Memory used [KB]: 6140 0.23/0.43 % (3872)Time elapsed: 0.022 s 0.23/0.43 % (3872)Instructions burned: 36 (million) 0.23/0.43 % (3872)------------------------------ 0.23/0.43 % (3872)------------------------------ 0.23/0.44 % (3876)Instruction limit reached! 0.23/0.44 % (3876)------------------------------ 0.23/0.44 % (3876)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.44 % (3876)Termination reason: Unknown 0.23/0.44 % (3876)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (3876)Memory used [KB]: 1535 0.23/0.44 % (3876)Time elapsed: 0.009 s 0.23/0.44 % (3876)Instructions burned: 16 (million) 0.23/0.44 % (3876)------------------------------ 0.23/0.44 % (3876)------------------------------ 0.23/0.44 % (3877)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_3758 for (1799ds/3Mi) 0.23/0.44 % (3877)Instruction limit reached! 0.23/0.44 % (3877)------------------------------ 0.23/0.44 % (3877)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.44 % (3877)Termination reason: Unknown 0.23/0.44 % (3877)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (3877)Memory used [KB]: 1279 0.23/0.44 % (3877)Time elapsed: 0.004 s 0.23/0.44 % (3877)Instructions burned: 3 (million) 0.23/0.44 % (3877)------------------------------ 0.23/0.44 % (3877)------------------------------ 0.23/0.44 % (3878)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_3758 for (1799ds/1041Mi) 0.23/0.45 % (3879)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/7Mi) 0.23/0.45 % (3875)Instruction limit reached! 0.23/0.45 % (3875)------------------------------ 0.23/0.45 % (3875)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (3875)Termination reason: Unknown 0.23/0.45 % (3875)Termination phase: Property scanning 0.23/0.45 0.23/0.45 % (3875)Memory used [KB]: 1663 0.23/0.45 % (3875)Time elapsed: 0.021 s 0.23/0.45 % (3875)Instructions burned: 39 (million) 0.23/0.45 % (3875)------------------------------ 0.23/0.45 % (3875)------------------------------ 0.23/0.45 % (3880)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/16Mi) 0.23/0.45 % (3879)Instruction limit reached! 0.23/0.45 % (3879)------------------------------ 0.23/0.45 % (3879)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (3879)Termination reason: Unknown 0.23/0.45 % (3879)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (3879)Memory used [KB]: 1407 0.23/0.45 % (3879)Time elapsed: 0.006 s 0.23/0.45 % (3879)Instructions burned: 7 (million) 0.23/0.45 % (3879)------------------------------ 0.23/0.45 % (3879)------------------------------ 0.23/0.45 % (3881)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_3758 for (1799ds/3Mi) 0.23/0.45 % (3881)Instruction limit reached! 0.23/0.45 % (3881)------------------------------ 0.23/0.45 % (3881)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (3881)Termination reason: Unknown 0.23/0.45 % (3881)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (3881)Memory used [KB]: 1279 0.23/0.45 % (3881)Time elapsed: 0.004 s 0.23/0.45 % (3881)Instructions burned: 3 (million) 0.23/0.45 % (3881)------------------------------ 0.23/0.45 % (3881)------------------------------ 0.23/0.46 % (3882)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_3758 for (1799ds/3Mi) 0.23/0.46 % (3880)Instruction limit reached! 0.23/0.46 % (3880)------------------------------ 0.23/0.46 % (3880)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.46 % (3880)Termination reason: Unknown 0.23/0.46 % (3880)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (3880)Memory used [KB]: 1535 0.23/0.46 % (3882)Instruction limit reached! 0.23/0.46 % (3882)------------------------------ 0.23/0.46 % (3882)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.46 % (3882)Termination reason: Unknown 0.23/0.46 % (3882)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (3882)Memory used [KB]: 1279 0.23/0.46 % (3882)Time elapsed: 0.004 s 0.23/0.46 % (3882)Instructions burned: 3 (million) 0.23/0.46 % (3882)------------------------------ 0.23/0.46 % (3882)------------------------------ 0.23/0.46 % (3880)Time elapsed: 0.011 s 0.23/0.46 % (3880)Instructions burned: 16 (million) 0.23/0.46 % (3880)------------------------------ 0.23/0.46 % (3880)------------------------------ 0.23/0.46 % (3883)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_3758 for (1799ds/7Mi) 0.23/0.47 % (3884)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_3758 for (1799ds/3Mi) 0.23/0.47 % (3883)Instruction limit reached! 0.23/0.47 % (3883)------------------------------ 0.23/0.47 % (3883)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (3883)Termination reason: Unknown 0.23/0.47 % (3883)Termination phase: shuffling 0.23/0.47 0.23/0.47 % (3883)Memory used [KB]: 1407 0.23/0.47 % (3883)Time elapsed: 0.006 s 0.23/0.47 % (3883)Instructions burned: 7 (million) 0.23/0.47 % (3883)------------------------------ 0.23/0.47 % (3883)------------------------------ 0.23/0.47 % (3884)Instruction limit reached! 0.23/0.47 % (3884)------------------------------ 0.23/0.47 % (3884)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (3884)Termination reason: Unknown 0.23/0.47 % (3884)Termination phase: shuffling 0.23/0.47 0.23/0.47 % (3884)Memory used [KB]: 1279 0.23/0.47 % (3884)Time elapsed: 0.004 s 0.23/0.47 % (3884)Instructions burned: 4 (million) 0.23/0.47 % (3884)------------------------------ 0.23/0.47 % (3884)------------------------------ 0.23/0.47 % (3885)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/4Mi) 0.23/0.47 % (3885)Instruction limit reached! 0.23/0.47 % (3885)------------------------------ 0.23/0.47 % (3885)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (3885)Termination reason: Unknown 0.23/0.47 % (3885)Termination phase: shuffling 0.23/0.47 0.23/0.47 % (3885)Memory used [KB]: 1279 0.23/0.47 % (3885)Time elapsed: 0.005 s 0.23/0.47 % (3885)Instructions burned: 5 (million) 0.23/0.47 % (3885)------------------------------ 0.23/0.47 % (3885)------------------------------ 0.23/0.47 % (3886)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_3758 for (1799ds/18Mi) 0.23/0.47 % (3887)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/710Mi) 0.23/0.48 % (3886)Instruction limit reached! 0.23/0.48 % (3886)------------------------------ 0.23/0.48 % (3886)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.48 % (3886)Termination reason: Unknown 0.23/0.48 % (3886)Termination phase: Property scanning 0.23/0.48 0.23/0.48 % (3886)Memory used [KB]: 1663 0.23/0.48 % (3886)Time elapsed: 0.012 s 0.23/0.48 % (3886)Instructions burned: 20 (million) 0.23/0.48 % (3886)------------------------------ 0.23/0.48 % (3886)------------------------------ 0.23/0.48 % (3888)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_3758 for (1799ds/6Mi) 0.23/0.48 % (3889)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_3758 for (1799ds/902Mi) 0.23/0.49 % (3888)Instruction limit reached! 0.23/0.49 % (3888)------------------------------ 0.23/0.49 % (3888)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.49 % (3888)Termination reason: Unknown 0.23/0.49 % (3888)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (3888)Memory used [KB]: 1407 0.23/0.49 % (3888)Time elapsed: 0.006 s 0.23/0.49 % (3888)Instructions burned: 7 (million) 0.23/0.49 % (3888)------------------------------ 0.23/0.49 % (3888)------------------------------ 0.23/0.49 % (3890)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_3758 for (1799ds/21Mi) 0.23/0.50 % (3867)Instruction limit reached! 0.23/0.50 % (3867)------------------------------ 0.23/0.50 % (3867)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (3867)Termination reason: Unknown 0.23/0.50 % (3867)Termination phase: Function definition elimination 0.23/0.50 0.23/0.50 % (3867)Memory used [KB]: 1918 0.23/0.50 % (3867)Time elapsed: 0.088 s 0.23/0.50 % (3867)Instructions burned: 183 (million) 0.23/0.50 % (3867)------------------------------ 0.23/0.50 % (3867)------------------------------ 0.23/0.50 % (3891)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_3758 for (1798ds/5Mi) 0.23/0.50 % (3891)Instruction limit reached! 0.23/0.50 % (3891)------------------------------ 0.23/0.50 % (3891)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (3891)Termination reason: Unknown 0.23/0.50 % (3891)Termination phase: shuffling 0.23/0.50 0.23/0.50 % (3891)Memory used [KB]: 1279 0.23/0.50 % (3891)Time elapsed: 0.003 s 0.23/0.50 % (3891)Instructions burned: 5 (million) 0.23/0.50 % (3891)------------------------------ 0.23/0.50 % (3891)------------------------------ 0.23/0.50 % (3890)Instruction limit reached! 0.23/0.50 % (3890)------------------------------ 0.23/0.50 % (3890)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (3890)Termination reason: Unknown 0.23/0.50 % (3890)Termination phase: Property scanning 0.23/0.50 0.23/0.50 % (3890)Memory used [KB]: 1663 0.23/0.50 % (3890)Time elapsed: 0.014 s 0.23/0.50 % (3890)Instructions burned: 21 (million) 0.23/0.50 % (3890)------------------------------ 0.23/0.50 % (3890)------------------------------ 0.23/0.50 % (3892)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_3758 for (1798ds/6Mi) 0.23/0.51 % (3892)Instruction limit reached! 0.23/0.51 % (3892)------------------------------ 0.23/0.51 % (3892)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.51 % (3892)Termination reason: Unknown 0.23/0.51 % (3892)Termination phase: shuffling 0.23/0.51 0.23/0.51 % (3892)Memory used [KB]: 1407 0.23/0.51 % (3892)Time elapsed: 0.006 s 0.23/0.51 % (3892)Instructions burned: 7 (million) 0.23/0.51 % (3892)------------------------------ 0.23/0.51 % (3892)------------------------------ 0.23/0.51 % (3893)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_3758 for (1798ds/377Mi) 0.23/0.51 % (3894)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_3758 for (1798ds/779Mi) 0.23/0.52 % (3889)Refutation not found, incomplete strategy 0.23/0.52 % (3889)------------------------------ 0.23/0.52 % (3889)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.52 % (3889)Termination reason: Refutation not found, incomplete strategy 0.23/0.52 0.23/0.52 0.23/0.52 % (3889)Memory used [KB]: 6396 0.23/0.52 % (3889)Time elapsed: 0.032 s 0.23/0.52 % (3889)Instructions burned: 61 (million) 0.23/0.52 % (3889)------------------------------ 0.23/0.52 % (3889)------------------------------ 0.23/0.52 % (3895)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_3758 for (1798ds/19Mi) 0.23/0.52 % (3896)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_3758 for (1798ds/879Mi) 0.23/0.53 % (3897)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_3758 for (1798ds/17Mi) 0.23/0.53 % (3895)Instruction limit reached! 0.23/0.53 % (3895)------------------------------ 0.23/0.53 % (3895)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.53 % (3895)Termination reason: Unknown 0.23/0.53 % (3895)Termination phase: shuffling 0.23/0.53 0.23/0.53 % (3895)Memory used [KB]: 1535 0.23/0.53 % (3895)Time elapsed: 0.012 s 0.23/0.53 % (3895)Instructions burned: 19 (million) 0.23/0.53 % (3895)------------------------------ 0.23/0.53 % (3895)------------------------------ 0.23/0.53 % (3897)Instruction limit reached! 0.23/0.53 % (3897)------------------------------ 0.23/0.53 % (3897)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.53 % (3897)Termination reason: Unknown 0.23/0.53 % (3897)Termination phase: shuffling 0.23/0.53 0.23/0.53 % (3897)Memory used [KB]: 1535 0.23/0.53 % (3897)Time elapsed: 0.007 s 0.23/0.53 % (3897)Instructions burned: 17 (million) 0.23/0.53 % (3897)------------------------------ 0.23/0.53 % (3897)------------------------------ 0.23/0.54 % (3899)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_3758 for (1798ds/30Mi) 0.23/0.54 % (3898)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_3758 for (1798ds/3Mi) 0.23/0.54 % (3898)Instruction limit reached! 0.23/0.54 % (3898)------------------------------ 0.23/0.54 % (3898)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.54 % (3898)Termination reason: Unknown 0.23/0.54 % (3898)Termination phase: shuffling 0.23/0.54 0.23/0.54 % (3898)Memory used [KB]: 1279 0.23/0.54 % (3898)Time elapsed: 0.003 s 0.23/0.54 % (3898)Instructions burned: 3 (million) 0.23/0.54 % (3898)------------------------------ 0.23/0.54 % (3898)------------------------------ 0.23/0.55 % (3899)Instruction limit reached! 0.23/0.55 % (3899)------------------------------ 0.23/0.55 % (3899)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.55 % (3899)Termination reason: Unknown 0.23/0.55 % (3899)Termination phase: Property scanning 0.23/0.55 0.23/0.55 % (3899)Memory used [KB]: 1663 0.23/0.55 % (3899)Time elapsed: 0.011 s 0.23/0.55 % (3899)Instructions burned: 30 (million) 0.23/0.55 % (3899)------------------------------ 0.23/0.55 % (3899)------------------------------ 0.23/0.56 % (3900)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_3758 for (1798ds/127Mi) 0.23/0.56 % (3901)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_3758 for (1798ds/100Mi) 0.23/0.58 % (3901)Instruction limit reached! 0.23/0.58 % (3901)------------------------------ 0.23/0.58 % (3901)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.58 % (3901)Termination reason: Unknown 0.23/0.58 % (3901)Termination phase: Function definition elimination 0.23/0.58 0.23/0.58 % (3901)Memory used [KB]: 1918 0.23/0.58 % (3901)Time elapsed: 0.027 s 0.23/0.58 % (3901)Instructions burned: 104 (million) 0.23/0.58 % (3901)------------------------------ 0.23/0.58 % (3901)------------------------------ 0.23/0.59 % (3900)Instruction limit reached! 0.23/0.59 % (3900)------------------------------ 0.23/0.59 % (3900)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.59 % (3900)Termination reason: Unknown 0.23/0.59 % (3900)Termination phase: Function definition elimination 0.23/0.59 0.23/0.59 % (3900)Memory used [KB]: 1791 0.23/0.59 % (3900)Time elapsed: 0.033 s 0.23/0.59 % (3900)Instructions burned: 129 (million) 0.23/0.59 % (3900)------------------------------ 0.23/0.59 % (3900)------------------------------ 0.23/0.59 % (3902)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_3758 for (1798ds/3Mi) 0.23/0.59 % (3902)Instruction limit reached! 0.23/0.59 % (3902)------------------------------ 0.23/0.59 % (3902)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.59 % (3902)Termination reason: Unknown 0.23/0.59 % (3902)Termination phase: shuffling 0.23/0.59 0.23/0.59 % (3902)Memory used [KB]: 1279 0.23/0.59 % (3902)Time elapsed: 0.003 s 0.23/0.59 % (3902)Instructions burned: 4 (million) 0.23/0.59 % (3902)------------------------------ 0.23/0.59 % (3902)------------------------------ 0.23/0.60 % (3903)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_3758 for (1798ds/20Mi) 1.56/0.60 % (3903)Instruction limit reached! 1.56/0.60 % (3903)------------------------------ 1.56/0.60 % (3903)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.56/0.60 % (3903)Termination reason: Unknown 1.56/0.60 % (3903)Termination phase: Property scanning 1.56/0.60 1.56/0.60 % (3903)Memory used [KB]: 1663 1.56/0.60 % (3903)Time elapsed: 0.008 s 1.56/0.60 % (3903)Instructions burned: 20 (million) 1.56/0.60 % (3903)------------------------------ 1.56/0.60 % (3903)------------------------------ 1.56/0.60 % (3904)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_3758 for (1797ds/86Mi) 1.56/0.61 % (3905)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/107Mi) 1.67/0.62 % (3893)Instruction limit reached! 1.67/0.62 % (3893)------------------------------ 1.67/0.62 % (3893)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.67/0.62 % (3893)Termination reason: Unknown 1.67/0.62 % (3893)Termination phase: Property scanning 1.67/0.62 1.67/0.62 % (3893)Memory used [KB]: 1918 1.67/0.62 % (3893)Time elapsed: 0.104 s 1.67/0.62 % (3893)Instructions burned: 378 (million) 1.67/0.62 % (3893)------------------------------ 1.67/0.62 % (3893)------------------------------ 1.67/0.63 % (3904)Instruction limit reached! 1.67/0.63 % (3904)------------------------------ 1.67/0.63 % (3904)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.67/0.63 % (3904)Termination reason: Unknown 1.67/0.63 % (3904)Termination phase: Function definition elimination 1.67/0.63 1.67/0.63 % (3904)Memory used [KB]: 1791 1.67/0.63 % (3904)Time elapsed: 0.024 s 1.67/0.63 % (3904)Instructions burned: 89 (million) 1.67/0.63 % (3904)------------------------------ 1.67/0.63 % (3904)------------------------------ 1.76/0.63 % (3906)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/39Mi) 1.76/0.63 % (3907)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/448Mi) 1.76/0.64 % (3906)Instruction limit reached! 1.76/0.64 % (3906)------------------------------ 1.76/0.64 % (3906)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.76/0.64 % (3906)Termination reason: Unknown 1.76/0.64 % (3906)Termination phase: Property scanning 1.76/0.64 1.76/0.64 % (3906)Memory used [KB]: 1663 1.76/0.64 % (3906)Time elapsed: 0.012 s 1.76/0.64 % (3906)Instructions burned: 39 (million) 1.76/0.64 % (3906)------------------------------ 1.76/0.64 % (3906)------------------------------ 1.76/0.64 % (3905)Instruction limit reached! 1.76/0.64 % (3905)------------------------------ 1.76/0.64 % (3905)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.76/0.64 % (3905)Termination reason: Unknown 1.76/0.64 % (3905)Termination phase: Saturation 1.76/0.64 1.76/0.64 % (3905)Memory used [KB]: 6652 1.76/0.64 % (3905)Time elapsed: 0.034 s 1.76/0.64 % (3905)Instructions burned: 109 (million) 1.76/0.64 % (3905)------------------------------ 1.76/0.64 % (3905)------------------------------ 1.76/0.65 % (3908)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/46Mi) 1.76/0.65 % (3909)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/98Mi) 1.76/0.66 % (3908)Instruction limit reached! 1.76/0.66 % (3908)------------------------------ 1.76/0.66 % (3908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.76/0.66 % (3908)Termination reason: Unknown 1.76/0.66 % (3908)Termination phase: Property scanning 1.76/0.66 1.76/0.66 % (3908)Memory used [KB]: 1663 1.76/0.66 % (3908)Time elapsed: 0.016 s 1.76/0.66 % (3908)Instructions burned: 46 (million) 1.76/0.66 % (3908)------------------------------ 1.76/0.66 % (3908)------------------------------ 1.76/0.67 % (3910)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/507Mi) 1.76/0.68 % (3909)Instruction limit reached! 1.76/0.68 % (3909)------------------------------ 1.76/0.68 % (3909)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.76/0.68 % (3909)Termination reason: Unknown 1.76/0.68 % (3909)Termination phase: Function definition elimination 1.76/0.68 1.76/0.68 % (3909)Memory used [KB]: 1918 1.76/0.68 % (3909)Time elapsed: 0.027 s 1.76/0.68 % (3909)Instructions burned: 102 (million) 1.76/0.68 % (3909)------------------------------ 1.76/0.68 % (3909)------------------------------ 1.76/0.69 % (3911)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_3758 for (1797ds/149Mi) 1.76/0.69 % (3907)First to succeed. 1.76/0.70 % (3907)Refutation found. Thanks to Tanya! 1.76/0.70 % SZS status Theorem for E---3.1_3758 1.76/0.70 % SZS output start Proof for E---3.1_3758 1.76/0.70 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 1.76/0.70 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 1.76/0.70 thf(func_def_3, type, eps: ($i > $o) > $i). 1.76/0.70 thf(func_def_4, type, in: $i > $i > $o). 1.76/0.70 thf(func_def_5, type, d_Subq: $i > $i > $o). 1.76/0.70 thf(func_def_7, type, union: $i > $i). 1.76/0.70 thf(func_def_8, type, power: $i > $i). 1.76/0.70 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 1.76/0.70 thf(func_def_10, type, d_Union_closed: $i > $o). 1.76/0.70 thf(func_def_11, type, d_Power_closed: $i > $o). 1.76/0.70 thf(func_def_12, type, d_Repl_closed: $i > $o). 1.76/0.70 thf(func_def_13, type, d_ZF_closed: $i > $o). 1.76/0.70 thf(func_def_14, type, univof: $i > $i). 1.76/0.70 thf(func_def_15, type, if: $o > $i > $i > $i). 1.76/0.70 thf(func_def_16, type, nIn: $i > $i > $o). 1.76/0.70 thf(func_def_17, type, d_UPair: $i > $i > $i). 1.76/0.70 thf(func_def_18, type, d_Sing: $i > $i). 1.76/0.70 thf(func_def_19, type, binunion: $i > $i > $i). 1.76/0.70 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 1.76/0.70 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 1.76/0.70 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 1.76/0.70 thf(func_def_23, type, setminus: $i > $i > $i). 1.76/0.70 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 1.76/0.70 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 1.76/0.70 thf(func_def_26, type, ordsucc: $i > $i). 1.76/0.70 thf(func_def_27, type, nat_p: $i > $o). 1.76/0.70 thf(func_def_29, type, d_Inj1: $i > $i). 1.76/0.70 thf(func_def_30, type, d_Inj0: $i > $i). 1.76/0.70 thf(func_def_31, type, d_Unj: $i > $i). 1.76/0.70 thf(func_def_32, type, pair: $i > $i > $i). 1.76/0.70 thf(func_def_33, type, proj0: $i > $i). 1.76/0.70 thf(func_def_34, type, proj1: $i > $i). 1.76/0.70 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 1.76/0.70 thf(func_def_36, type, setprod: $i > $i > $i). 1.76/0.70 thf(func_def_37, type, ap: $i > $i > $i). 1.76/0.70 thf(func_def_38, type, pair_p: $i > $o). 1.76/0.70 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 1.76/0.70 thf(func_def_40, type, imp: $o > $o > $o). 1.76/0.70 thf(func_def_41, type, d_not: $o > $o). 1.76/0.70 thf(func_def_42, type, wel: $o > $o). 1.76/0.70 thf(func_def_44, type, l_ec: $o > $o > $o). 1.76/0.70 thf(func_def_45, type, d_and: $o > $o > $o). 1.76/0.70 thf(func_def_46, type, l_or: $o > $o > $o). 1.76/0.70 thf(func_def_47, type, orec: $o > $o > $o). 1.76/0.70 thf(func_def_48, type, l_iff: $o > $o > $o). 1.76/0.70 thf(func_def_49, type, all: $i > ($i > $o) > $o). 1.76/0.70 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 1.76/0.70 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 1.76/0.70 thf(func_def_52, type, or3: $o > $o > $o > $o). 1.76/0.70 thf(func_def_53, type, and3: $o > $o > $o > $o). 1.76/0.70 thf(func_def_54, type, ec3: $o > $o > $o > $o). 1.76/0.70 thf(func_def_55, type, orec3: $o > $o > $o > $o). 1.76/0.70 thf(func_def_56, type, e_is: $i > $i > $i > $o). 1.76/0.70 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 1.76/0.70 thf(func_def_58, type, one: $i > ($i > $o) > $o). 1.76/0.70 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 1.76/0.70 thf(func_def_60, type, injective: $i > $i > $i > $o). 1.76/0.70 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 1.76/0.70 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_64, type, inverse: $i > $i > $i > $i). 1.76/0.70 thf(func_def_65, type, surjective: $i > $i > $i > $o). 1.76/0.70 thf(func_def_66, type, bijective: $i > $i > $i > $o). 1.76/0.70 thf(func_def_67, type, invf: $i > $i > $i > $i). 1.76/0.70 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 1.76/0.70 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 1.76/0.70 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_72, type, first: $i > $i > $i > $i). 1.76/0.70 thf(func_def_73, type, second: $i > $i > $i > $i). 1.76/0.70 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 1.76/0.70 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 1.76/0.70 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_78, type, wissel: $i > $i > $i > $i). 1.76/0.70 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_80, type, r_ec: $o > $o > $o). 1.76/0.70 thf(func_def_81, type, esti: $i > $i > $i > $o). 1.76/0.70 thf(func_def_82, type, empty: $i > $i > $o). 1.76/0.70 thf(func_def_83, type, nonempty: $i > $i > $o). 1.76/0.70 thf(func_def_84, type, incl: $i > $i > $i > $o). 1.76/0.70 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 1.76/0.70 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 1.76/0.70 thf(func_def_87, type, unmore: $i > $i > $i > $i). 1.76/0.70 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 1.76/0.70 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 1.76/0.70 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 1.76/0.70 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 1.76/0.70 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 1.76/0.70 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 1.76/0.70 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 1.76/0.70 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 1.76/0.70 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 1.76/0.70 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 1.76/0.70 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.76/0.70 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 1.76/0.70 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.76/0.70 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 1.76/0.70 thf(func_def_103, type, n_is: $i > $i > $o). 1.76/0.70 thf(func_def_104, type, nis: $i > $i > $o). 1.76/0.70 thf(func_def_105, type, n_in: $i > $i > $o). 1.76/0.70 thf(func_def_106, type, n_some: ($i > $o) > $o). 1.76/0.70 thf(func_def_107, type, n_all: ($i > $o) > $o). 1.76/0.70 thf(func_def_108, type, n_one: ($i > $o) > $o). 1.76/0.70 thf(func_def_110, type, cond1: $i > $o). 1.76/0.70 thf(func_def_111, type, cond2: $i > $o). 1.76/0.70 thf(func_def_112, type, i1_s: ($i > $o) > $i). 1.76/0.70 thf(func_def_113, type, d_22_prop1: $i > $o). 1.76/0.70 thf(func_def_114, type, d_23_prop1: $i > $o). 1.76/0.70 thf(func_def_115, type, d_24_prop1: $i > $o). 1.76/0.70 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 1.76/0.70 thf(func_def_117, type, prop3: $i > $i > $i > $o). 1.76/0.70 thf(func_def_118, type, prop4: $i > $o). 1.76/0.70 thf(func_def_119, type, d_24_g: $i > $i). 1.76/0.70 thf(func_def_120, type, plus: $i > $i). 1.76/0.70 thf(func_def_121, type, n_pl: $i > $i > $i). 1.76/0.70 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 1.76/0.70 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 1.76/0.70 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 1.76/0.70 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 1.76/0.70 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 1.76/0.70 thf(func_def_147, type, sK1: $i > $i > $i > $i). 1.76/0.70 thf(func_def_148, type, sK2: $i > ($i > $i) > ($i > $i) > $i). 1.76/0.70 thf(func_def_153, type, sK7: ($i > $o) > $i). 1.76/0.70 thf(func_def_154, type, sK8: ($i > $i) > $i > ($i > $i) > $i). 1.76/0.70 thf(func_def_155, type, ph9: !>[X0: $tType]:(X0)). 1.76/0.70 thf(func_def_156, type, sK10: ($i > $i > $o) > ($i > $i > $o) > $i). 1.76/0.70 thf(func_def_157, type, sK11: $i > ($i > $o) > $i). 1.76/0.70 thf(func_def_158, type, sK12: $i > ($i > $o) > $i). 1.76/0.70 thf(f1326,plain,( 1.76/0.70 $false), 1.76/0.70 inference(avatar_sat_refutation,[],[f1206,f1248,f1325])). 1.76/0.70 thf(f1325,plain,( 1.76/0.70 ~spl0_5), 1.76/0.70 inference(avatar_contradiction_clause,[],[f1324])). 1.76/0.70 thf(f1324,plain,( 1.76/0.70 $false | ~spl0_5), 1.76/0.70 inference(trivial_inequality_removal,[],[f1323])). 1.76/0.70 thf(f1323,plain,( 1.76/0.70 (sK5 != sK5) | ~spl0_5), 1.76/0.70 inference(superposition,[],[f838,f1205])). 1.76/0.70 thf(f1205,plain,( 1.76/0.70 (sK6 = sK5) | ~spl0_5), 1.76/0.70 inference(avatar_component_clause,[],[f1203])). 1.76/0.70 thf(f1203,plain,( 1.76/0.70 spl0_5 <=> (sK6 = sK5)), 1.76/0.70 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 1.76/0.70 thf(f838,plain,( 1.76/0.70 (sK6 != sK5)), 1.76/0.70 inference(equality_proxy_clausification,[],[f836])). 1.76/0.70 thf(f836,plain,( 1.76/0.70 ($false = (sK5 = sK6))), 1.76/0.70 inference(binary_proxy_clausification,[],[f833])). 1.76/0.70 thf(f833,plain,( 1.76/0.70 ($false = ((sK3 = (n_pl @ sK4 @ sK6)) => (sK5 = sK6)))), 1.76/0.70 inference(binary_proxy_clausification,[],[f831])). 1.76/0.70 thf(f831,plain,( 1.76/0.70 ($false = ((sK3 = (n_pl @ sK4 @ sK5)) => ((sK3 = (n_pl @ sK4 @ sK6)) => (sK5 = sK6))))), 1.76/0.70 inference(binary_proxy_clausification,[],[f830])). 1.76/0.70 thf(f830,plain,( 1.76/0.70 ($false = ((in @ sK6 @ nat) => ((sK3 = (n_pl @ sK4 @ sK5)) => ((sK3 = (n_pl @ sK4 @ sK6)) => (sK5 = sK6)))))), 1.76/0.70 inference(beta_eta_normalization,[],[f829])). 1.76/0.70 thf(f829,plain,( 1.76/0.70 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK3 = (n_pl @ sK4 @ sK5)) => ((sK3 = (n_pl @ sK4 @ Y0)) => (sK5 = Y0))))) @ sK6))), 1.76/0.70 inference(sigma_clausification,[],[f827])). 1.76/0.70 thf(f827,plain,( 1.76/0.70 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK3 = (n_pl @ sK4 @ sK5)) => ((sK3 = (n_pl @ sK4 @ Y0)) => (sK5 = Y0)))))))), 1.76/0.70 inference(binary_proxy_clausification,[],[f826])). 1.76/0.70 thf(f826,plain,( 1.76/0.70 ($false = ((in @ sK5 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK3 = (n_pl @ sK4 @ sK5)) => ((sK3 = (n_pl @ sK4 @ Y0)) => (sK5 = Y0))))))))), 1.76/0.70 inference(beta_eta_normalization,[],[f825])). 1.76/0.70 thf(f825,plain,( 1.76/0.70 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK3 = (n_pl @ sK4 @ Y0)) => ((sK3 = (n_pl @ sK4 @ Y1)) => (Y0 = Y1)))))))) @ sK5))), 1.76/0.70 inference(sigma_clausification,[],[f823])). 1.76/0.70 thf(f823,plain,( 1.76/0.70 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK3 = (n_pl @ sK4 @ Y0)) => ((sK3 = (n_pl @ sK4 @ Y1)) => (Y0 = Y1))))))))))), 1.76/0.70 inference(binary_proxy_clausification,[],[f822])). 1.76/0.70 thf(f822,plain,( 1.76/0.70 ($false = ((in @ sK4 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK3 = (n_pl @ sK4 @ Y0)) => ((sK3 = (n_pl @ sK4 @ Y1)) => (Y0 = Y1)))))))))))), 1.76/0.70 inference(beta_eta_normalization,[],[f821])). 1.76/0.70 thf(f821,plain,( 1.76/0.70 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK3 = (n_pl @ Y0 @ Y1)) => ((sK3 = (n_pl @ Y0 @ Y2)) => (Y1 = Y2))))))))))) @ sK4))), 1.76/0.70 inference(sigma_clausification,[],[f819])). 1.76/0.70 thf(f819,plain,( 1.76/0.70 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK3 = (n_pl @ Y0 @ Y1)) => ((sK3 = (n_pl @ Y0 @ Y2)) => (Y1 = Y2)))))))))))))), 1.76/0.70 inference(binary_proxy_clausification,[],[f818])). 1.76/0.70 thf(f818,plain,( 1.76/0.70 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK3 = (n_pl @ Y0 @ Y1)) => ((sK3 = (n_pl @ Y0 @ Y2)) => (Y1 = Y2))))))))))))))), 1.76/0.70 inference(beta_eta_normalization,[],[f817])). 1.76/0.70 thf(f817,plain,( 1.76/0.70 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = (n_pl @ Y1 @ Y2)) => ((Y0 = (n_pl @ Y1 @ Y3)) => (Y2 = Y3)))))))))))))) @ sK3))), 1.76/0.70 inference(sigma_clausification,[],[f816])). 1.76/0.70 thf(f816,plain,( 1.76/0.70 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = (n_pl @ Y1 @ Y2)) => ((Y0 = (n_pl @ Y1 @ Y3)) => (Y2 = Y3))))))))))))))))), 1.76/0.70 inference(not_proxy_clausification,[],[f625])). 1.76/0.70 thf(f625,plain,( 1.76/0.70 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = (n_pl @ Y1 @ Y2)) => ((Y0 = (n_pl @ Y1 @ Y3)) => (Y2 = Y3)))))))))))))))))), 1.76/0.70 inference(beta_eta_normalization,[],[f596])). 1.76/0.70 thf(f596,plain,( 1.76/0.70 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: (!! @ $i @ (^[Y6 : $i]: (((^[Y7 : $i]: ((^[Y8 : $i > $o]: (Y8 @ Y7)))) @ Y6 @ Y4) => (Y5 @ Y6))))))) @ (^[Y4 : $i]: (in @ Y4 @ Y2)) @ (^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: (!! @ $i @ (^[Y7 : $i]: (((^[Y8 : $i]: ((^[Y9 : $i > $o]: (Y9 @ Y8)))) @ Y7 @ Y5) => (Y6 @ Y7))))))) @ (^[Y5 : $i]: (in @ Y5 @ Y2)) @ (^[Y5 : $i]: ((Y3 @ Y4) => ((Y3 @ Y5) => ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ Y2 @ Y4 @ Y5)))))))))) @ nat @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))))), 1.76/0.70 inference(definition_unfolding,[],[f547,f572,f572,f577,f573])). 1.76/0.70 thf(f573,plain,( 1.76/0.70 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 1.76/0.70 inference(definition_unfolding,[],[f563,f528])). 1.76/0.70 thf(f528,plain,( 1.76/0.70 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.76/0.70 inference(cnf_transformation,[],[f462])). 1.76/0.70 thf(f462,plain,( 1.76/0.70 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.76/0.70 inference(fool_elimination,[],[f461])). 1.76/0.70 thf(f461,plain,( 1.76/0.70 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 1.76/0.70 inference(rectify,[],[f49])). 1.76/0.70 thf(f49,axiom,( 1.76/0.70 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',def_e_is)). 1.76/0.70 thf(f563,plain,( 1.76/0.70 (n_is = (e_is @ nat))), 1.76/0.70 inference(cnf_transformation,[],[f298])). 1.76/0.70 thf(f298,plain,( 1.76/0.70 (n_is = (e_is @ nat))), 1.76/0.70 inference(fool_elimination,[],[f96])). 1.76/0.70 thf(f96,axiom,( 1.76/0.70 (n_is = (e_is @ nat))), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',def_n_is)). 1.76/0.70 thf(f577,plain,( 1.76/0.70 (amone = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ (^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (((^[Y6 : $i]: ((^[Y7 : $i > $o]: (Y7 @ Y6)))) @ Y5 @ Y3) => (Y4 @ Y5))))))) @ (^[Y3 : $i]: (in @ Y3 @ Y0)) @ (^[Y3 : $i]: ((Y1 @ Y2) => ((Y1 @ Y3) => ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ Y0 @ Y2 @ Y3)))))))))))), 1.76/0.70 inference(definition_unfolding,[],[f516,f572,f572,f528])). 1.76/0.70 thf(f516,plain,( 1.76/0.70 (amone = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ (^[Y2 : $i]: (all_of @ (^[Y3 : $i]: (in @ Y3 @ Y0)) @ (^[Y3 : $i]: ((Y1 @ Y2) => ((Y1 @ Y3) => (e_is @ Y0 @ Y2 @ Y3)))))))))))), 1.76/0.70 inference(cnf_transformation,[],[f245])). 1.76/0.70 thf(f245,plain,( 1.76/0.70 (amone = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ (^[Y2 : $i]: (all_of @ (^[Y3 : $i]: (in @ Y3 @ Y0)) @ (^[Y3 : $i]: ((Y1 @ Y2) => ((Y1 @ Y3) => (e_is @ Y0 @ Y2 @ Y3)))))))))))), 1.76/0.70 inference(fool_elimination,[],[f244])). 1.76/0.70 thf(f244,plain,( 1.76/0.70 ((^[X0 : $i, X1 : $i > $o] : (all_of @ (^[X2 : $i] : (in @ X2 @ X0)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ X0)) @ (^[X5 : $i] : ((X1 @ X3) => ((X1 @ X5) => (e_is @ X0 @ X3 @ X5)))))))) = amone)), 1.76/0.70 inference(rectify,[],[f50])). 1.76/0.70 thf(f50,axiom,( 1.76/0.70 ((^[X0 : $i, X1 : $i > $o] : (all_of @ (^[X2 : $i] : (in @ X2 @ X0)) @ (^[X2 : $i] : (all_of @ (^[X3 : $i] : (in @ X3 @ X0)) @ (^[X3 : $i] : ((X1 @ X2) => ((X1 @ X3) => (e_is @ X0 @ X2 @ X3)))))))) = amone)), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',def_amone)). 1.76/0.70 thf(f572,plain,( 1.76/0.70 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.76/0.70 inference(definition_unfolding,[],[f532,f564])). 1.76/0.70 thf(f564,plain,( 1.76/0.70 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 1.76/0.70 inference(cnf_transformation,[],[f463])). 1.76/0.70 thf(f463,plain,( 1.76/0.70 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 1.76/0.70 inference(fool_elimination,[],[f1])). 1.76/0.70 thf(f1,axiom,( 1.76/0.70 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',def_is_of)). 1.76/0.70 thf(f532,plain,( 1.76/0.70 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.76/0.70 inference(cnf_transformation,[],[f484])). 1.76/0.70 thf(f484,plain,( 1.76/0.70 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.76/0.70 inference(fool_elimination,[],[f483])). 1.76/0.70 thf(f483,plain,( 1.76/0.70 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 1.76/0.70 inference(rectify,[],[f2])). 1.76/0.70 thf(f2,axiom,( 1.76/0.70 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',def_all_of)). 1.76/0.70 thf(f547,plain,( 1.76/0.70 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (amone @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))))), 1.76/0.70 inference(cnf_transformation,[],[f258])). 1.76/0.70 thf(f258,plain,( 1.76/0.70 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (amone @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))))), 1.76/0.70 inference(fool_elimination,[],[f257])). 1.76/0.70 thf(f257,plain,( 1.76/0.70 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (amone @ nat @ (^[X4 : $i] : (n_is @ X1 @ (n_pl @ X3 @ X4))))))))), 1.76/0.70 inference(rectify,[],[f195])). 1.76/0.70 thf(f195,negated_conjecture,( 1.76/0.70 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (amone @ nat @ (^[X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))))))))), 1.76/0.70 inference(negated_conjecture,[],[f194])). 1.76/0.70 thf(f194,conjecture,( 1.76/0.70 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (amone @ nat @ (^[X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))))))))), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',satz8b)). 1.76/0.70 thf(f1248,plain,( 1.76/0.70 ~spl0_4), 1.76/0.70 inference(avatar_contradiction_clause,[],[f1247])). 1.76/0.70 thf(f1247,plain,( 1.76/0.70 $false | ~spl0_4), 1.76/0.70 inference(trivial_inequality_removal,[],[f1238])). 1.76/0.70 thf(f1238,plain,( 1.76/0.70 ($false = $true) | ~spl0_4), 1.76/0.70 inference(backward_demodulation,[],[f832,f1201])). 1.76/0.70 thf(f1201,plain,( 1.76/0.70 ($false = (in @ sK6 @ nat)) | ~spl0_4), 1.76/0.70 inference(avatar_component_clause,[],[f1199])). 1.76/0.70 thf(f1199,plain,( 1.76/0.70 spl0_4 <=> ($false = (in @ sK6 @ nat))), 1.76/0.70 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 1.76/0.70 thf(f832,plain,( 1.76/0.70 ($true = (in @ sK6 @ nat))), 1.76/0.70 inference(binary_proxy_clausification,[],[f830])). 1.76/0.70 thf(f1206,plain,( 1.76/0.70 spl0_4 | spl0_5), 1.76/0.70 inference(avatar_split_clause,[],[f1195,f1203,f1199])). 1.76/0.70 thf(f1195,plain,( 1.76/0.70 (sK6 = sK5) | ($false = (in @ sK6 @ nat))), 1.76/0.70 inference(trivial_inequality_removal,[],[f1189])). 1.76/0.70 thf(f1189,plain,( 1.76/0.70 (sK3 != sK3) | ($false = (in @ sK6 @ nat)) | (sK6 = sK5)), 1.76/0.70 inference(superposition,[],[f1138,f839])). 1.76/0.70 thf(f839,plain,( 1.76/0.70 ((n_pl @ sK4 @ sK6) = sK3)), 1.76/0.70 inference(equality_proxy_clausification,[],[f837])). 1.76/0.70 thf(f837,plain,( 1.76/0.70 ($true = (sK3 = (n_pl @ sK4 @ sK6)))), 1.76/0.70 inference(binary_proxy_clausification,[],[f833])). 1.76/0.70 thf(f1138,plain,( 1.76/0.70 ( ! [X0 : $i] : (((n_pl @ sK4 @ X0) != sK3) | ((in @ X0 @ nat) = $false) | (sK5 = X0)) )), 1.76/0.70 inference(trivial_inequality_removal,[],[f1137])). 1.76/0.70 thf(f1137,plain,( 1.76/0.70 ( ! [X0 : $i] : (($false = $true) | (sK5 = X0) | ((in @ X0 @ nat) = $false) | ((n_pl @ sK4 @ X0) != sK3)) )), 1.76/0.70 inference(forward_demodulation,[],[f1136,f828])). 1.76/0.70 thf(f828,plain,( 1.76/0.70 ($true = (in @ sK5 @ nat))), 1.76/0.70 inference(binary_proxy_clausification,[],[f826])). 1.76/0.70 thf(f1136,plain,( 1.76/0.70 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (in @ sK5 @ nat)) | (sK5 = X0) | ((n_pl @ sK4 @ X0) != sK3)) )), 1.76/0.70 inference(trivial_inequality_removal,[],[f1135])). 1.76/0.70 thf(f1135,plain,( 1.76/0.70 ( ! [X0 : $i] : ((sK5 = X0) | ((n_pl @ sK4 @ X0) != sK3) | ($false = $true) | ((in @ X0 @ nat) = $false) | ($false = (in @ sK5 @ nat))) )), 1.76/0.70 inference(forward_demodulation,[],[f1117,f824])). 1.76/0.70 thf(f824,plain,( 1.76/0.70 ($true = (in @ sK4 @ nat))), 1.76/0.70 inference(binary_proxy_clausification,[],[f822])). 1.76/0.70 thf(f1117,plain,( 1.76/0.70 ( ! [X0 : $i] : (((n_pl @ sK4 @ X0) != sK3) | ($false = (in @ sK4 @ nat)) | ((in @ X0 @ nat) = $false) | ($false = (in @ sK5 @ nat)) | (sK5 = X0)) )), 1.76/0.70 inference(superposition,[],[f760,f835])). 1.76/0.70 thf(f835,plain,( 1.76/0.70 ((n_pl @ sK4 @ sK5) = sK3)), 1.76/0.70 inference(equality_proxy_clausification,[],[f834])). 1.76/0.70 thf(f834,plain,( 1.76/0.70 ((sK3 = (n_pl @ sK4 @ sK5)) = $true)), 1.76/0.70 inference(binary_proxy_clausification,[],[f831])). 1.76/0.70 thf(f760,plain,( 1.76/0.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_pl @ X1 @ X2) != (n_pl @ X1 @ X3)) | ((in @ X2 @ nat) = $false) | (X2 = X3) | ((in @ X1 @ nat) = $false) | ($false = (in @ X3 @ nat))) )), 1.76/0.70 inference(equality_proxy_clausification,[],[f759])). 1.76/0.70 thf(f759,plain,( 1.76/0.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($false = (in @ X3 @ nat)) | ((in @ X1 @ nat) = $false) | ($false = ((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3))) | (X2 = X3)) )), 1.76/0.70 inference(equality_proxy_clausification,[],[f758])). 1.76/0.70 thf(f758,plain,( 1.76/0.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($false = (in @ X3 @ nat)) | ($true = (X2 = X3)) | ($false = ((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)))) )), 1.76/0.70 inference(binary_proxy_clausification,[],[f757])). 1.76/0.70 thf(f757,plain,( 1.76/0.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)) => (X2 = X3)) = $true) | ($false = (in @ X3 @ nat)) | ((in @ X2 @ nat) = $false)) )), 1.76/0.70 inference(binary_proxy_clausification,[],[f756])). 1.76/0.70 thf(f756,plain,( 1.76/0.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = ((in @ X3 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)) => (X2 = X3))))) )), 1.76/0.70 inference(beta_eta_normalization,[],[f755])). 1.76/0.70 thf(f755,plain,( 1.76/0.70 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))) @ X3)) | ((in @ X2 @ nat) = $false)) )), 1.76/0.70 inference(pi_clausification,[],[f754])). 1.76/0.70 thf(f754,plain,( 1.76/0.70 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0))))) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )), 1.76/0.70 inference(binary_proxy_clausification,[],[f753])). 1.76/0.70 thf(f753,plain,( 1.76/0.70 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))))))) )), 1.76/0.70 inference(beta_eta_normalization,[],[f752])). 1.76/0.70 thf(f752,plain,( 1.76/0.70 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))) @ X2))) )), 1.76/0.70 inference(pi_clausification,[],[f751])). 1.76/0.70 thf(f751,plain,( 1.76/0.70 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))))) | ((in @ X1 @ nat) = $false)) )), 1.76/0.70 inference(binary_proxy_clausification,[],[f750])). 1.76/0.70 thf(f750,plain,( 1.76/0.70 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))))))) )), 1.76/0.70 inference(beta_eta_normalization,[],[f749])). 1.76/0.70 thf(f749,plain,( 1.76/0.70 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y1) = (n_pl @ Y0 @ Y2)) => (Y1 = Y2)))))))))) @ X1) = $true)) )), 1.76/0.70 inference(pi_clausification,[],[f630])). 1.76/0.70 thf(f630,plain,( 1.76/0.70 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y1) = (n_pl @ Y0 @ Y2)) => (Y1 = Y2))))))))))) = $true)), 1.76/0.70 inference(beta_eta_normalization,[],[f581])). 1.76/0.70 thf(f581,plain,( 1.76/0.70 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y1 @ Y2)))))))))), 1.76/0.70 inference(definition_unfolding,[],[f518,f572,f572,f572,f573,f573])). 1.76/0.70 thf(f518,plain,( 1.76/0.70 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => (n_is @ Y1 @ Y2)))))))))), 1.76/0.70 inference(cnf_transformation,[],[f334])). 1.76/0.70 thf(f334,plain,( 1.76/0.70 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => (n_is @ Y1 @ Y2)))))))))), 1.76/0.70 inference(fool_elimination,[],[f333])). 1.76/0.70 thf(f333,plain,( 1.76/0.70 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ (n_pl @ X1 @ X3) @ (n_pl @ X1 @ X5)) => (n_is @ X3 @ X5))))))))), 1.76/0.70 inference(rectify,[],[f193])). 1.76/0.70 thf(f193,axiom,( 1.76/0.70 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X0 @ X1) @ (n_pl @ X0 @ X2)) => (n_is @ X1 @ X2))))))))), 1.76/0.70 file('/export/starexec/sandbox2/tmp/tmp.uzbIWeFMr0/E---3.1_3758.p',satz8a)). 1.76/0.70 % SZS output end Proof for E---3.1_3758 1.76/0.70 % (3907)------------------------------ 1.76/0.70 % (3907)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.76/0.70 % (3907)Termination reason: Refutation 1.76/0.70 1.76/0.70 % (3907)Memory used [KB]: 7036 1.76/0.70 % (3907)Time elapsed: 0.061 s 1.76/0.70 % (3907)Instructions burned: 178 (million) 1.76/0.70 % (3907)------------------------------ 1.76/0.70 % (3907)------------------------------ 1.76/0.70 % (3866)Success in time 0.3 s 1.76/0.70 EOF