0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d THM 0.13/0.33 % Computer : n031.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 03:40:04 EDT 2025 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.36 Running higher-order theorem proving 0.21/0.39 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.wDJ9OZG11H/E---3.1_6706.p -m 16384 -t 240 0.21/0.43 % (6901)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_6706 for (2399ds/183Mi) 0.21/0.43 % (6906)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_6706 for (2399ds/275Mi) 0.21/0.43 % (6905)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_6706 for (2399ds/2Mi) 0.21/0.43 % (6905)Instruction limit reached! 0.21/0.43 % (6905)------------------------------ 0.21/0.43 % (6905)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (6905)Termination reason: Unknown 0.21/0.43 % (6905)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (6905)Memory used [KB]: 1279 0.21/0.43 % (6905)Time elapsed: 0.004 s 0.21/0.43 % (6905)Instructions burned: 3 (million) 0.21/0.43 % (6905)------------------------------ 0.21/0.43 % (6905)------------------------------ 0.21/0.43 % (6904)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_6706 for (2399ds/2Mi) 0.21/0.43 % (6903)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_6706 for (2399ds/27Mi) 0.21/0.43 % (6902)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_6706 for (2399ds/4Mi) 0.21/0.43 % (6907)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_6706 for (2399ds/18Mi) 0.21/0.44 % (6904)Instruction limit reached! 0.21/0.44 % (6904)------------------------------ 0.21/0.44 % (6904)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (6904)Termination reason: Unknown 0.21/0.44 % (6904)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (6904)Memory used [KB]: 1279 0.21/0.44 % (6904)Time elapsed: 0.004 s 0.21/0.44 % (6904)Instructions burned: 2 (million) 0.21/0.44 % (6904)------------------------------ 0.21/0.44 % (6904)------------------------------ 0.21/0.44 % (6902)Instruction limit reached! 0.21/0.44 % (6902)------------------------------ 0.21/0.44 % (6902)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (6902)Termination reason: Unknown 0.21/0.44 % (6902)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (6902)Memory used [KB]: 1279 0.21/0.44 % (6902)Time elapsed: 0.006 s 0.21/0.44 % (6902)Instructions burned: 4 (million) 0.21/0.44 % (6902)------------------------------ 0.21/0.44 % (6902)------------------------------ 0.21/0.45 % (6911)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_6706 for (2399ds/3Mi) 0.24/0.45 % (6911)Instruction limit reached! 0.24/0.45 % (6911)------------------------------ 0.24/0.45 % (6911)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.45 % (6911)Termination reason: Unknown 0.24/0.45 % (6911)Termination phase: shuffling 0.24/0.45 0.24/0.45 % (6911)Memory used [KB]: 1279 0.24/0.45 % (6911)Time elapsed: 0.004 s 0.24/0.45 % (6911)Instructions burned: 4 (million) 0.24/0.45 % (6911)------------------------------ 0.24/0.45 % (6911)------------------------------ 0.24/0.45 % (6907)Instruction limit reached! 0.24/0.45 % (6907)------------------------------ 0.24/0.45 % (6907)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.45 % (6907)Termination reason: Unknown 0.24/0.45 % (6907)Termination phase: Property scanning 0.24/0.45 0.24/0.45 % (6907)Memory used [KB]: 1535 0.24/0.45 % (6907)Time elapsed: 0.020 s 0.24/0.45 % (6907)Instructions burned: 18 (million) 0.24/0.45 % (6907)------------------------------ 0.24/0.45 % (6907)------------------------------ 0.24/0.46 % (6903)Instruction limit reached! 0.24/0.46 % (6903)------------------------------ 0.24/0.46 % (6903)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.46 % (6903)Termination reason: Unknown 0.24/0.46 % (6903)Termination phase: Property scanning 0.24/0.46 0.24/0.46 % (6903)Memory used [KB]: 1791 0.24/0.46 % (6903)Time elapsed: 0.027 s 0.24/0.46 % (6903)Instructions burned: 27 (million) 0.24/0.46 % (6903)------------------------------ 0.24/0.46 % (6903)------------------------------ 0.24/0.47 % (6917)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_6706 for (2399ds/3Mi) 0.24/0.47 % (6917)Instruction limit reached! 0.24/0.47 % (6917)------------------------------ 0.24/0.47 % (6917)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (6917)Termination reason: Unknown 0.24/0.47 % (6917)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (6917)Memory used [KB]: 1279 0.24/0.47 % (6917)Time elapsed: 0.003 s 0.24/0.47 % (6917)Instructions burned: 3 (million) 0.24/0.47 % (6917)------------------------------ 0.24/0.47 % (6917)------------------------------ 0.24/0.47 % (6915)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_6706 for (2399ds/37Mi) 0.24/0.47 % (6918)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_6706 for (2399ds/1041Mi) 0.24/0.47 % (6916)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_6706 for (2399ds/15Mi) 0.24/0.48 % (6919)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_6706 for (2399ds/7Mi) 0.24/0.48 % (6919)Instruction limit reached! 0.24/0.48 % (6919)------------------------------ 0.24/0.48 % (6919)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.48 % (6919)Termination reason: Unknown 0.24/0.48 % (6919)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (6919)Memory used [KB]: 1407 0.24/0.48 % (6919)Time elapsed: 0.006 s 0.24/0.48 % (6919)Instructions burned: 8 (million) 0.24/0.48 % (6919)------------------------------ 0.24/0.48 % (6919)------------------------------ 0.24/0.49 % (6915)Instruction limit reached! 0.24/0.49 % (6915)------------------------------ 0.24/0.49 % (6915)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.49 % (6915)Termination reason: Unknown 0.24/0.49 % (6915)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (6915)Memory used [KB]: 1791 0.24/0.49 % (6915)Time elapsed: 0.013 s 0.24/0.49 % (6915)Instructions burned: 37 (million) 0.24/0.49 % (6915)------------------------------ 0.24/0.49 % (6915)------------------------------ 0.24/0.49 % (6922)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_6706 for (2399ds/16Mi) 0.24/0.49 % (6916)Instruction limit reached! 0.24/0.49 % (6916)------------------------------ 0.24/0.49 % (6916)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.49 % (6916)Termination reason: Unknown 0.24/0.49 % (6916)Termination phase: Property scanning 0.24/0.49 0.24/0.49 % (6916)Memory used [KB]: 1535 0.24/0.49 % (6916)Time elapsed: 0.018 s 0.24/0.49 % (6916)Instructions burned: 15 (million) 0.24/0.49 % (6916)------------------------------ 0.24/0.49 % (6916)------------------------------ 0.24/0.50 % (6922)Instruction limit reached! 0.24/0.50 % (6922)------------------------------ 0.24/0.50 % (6922)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.50 % (6922)Termination reason: Unknown 0.24/0.50 % (6922)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (6922)Memory used [KB]: 1663 0.24/0.50 % (6922)Time elapsed: 0.010 s 0.24/0.50 % (6922)Instructions burned: 16 (million) 0.24/0.50 % (6922)------------------------------ 0.24/0.50 % (6922)------------------------------ 0.24/0.50 % (6926)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_6706 for (2399ds/3Mi) 0.24/0.50 % (6926)Instruction limit reached! 0.24/0.50 % (6926)------------------------------ 0.24/0.50 % (6926)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.50 % (6926)Termination reason: Unknown 0.24/0.50 % (6926)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (6926)Memory used [KB]: 1279 0.24/0.50 % (6926)Time elapsed: 0.004 s 0.24/0.50 % (6926)Instructions burned: 4 (million) 0.24/0.50 % (6926)------------------------------ 0.24/0.50 % (6926)------------------------------ 0.24/0.50 % (6924)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_6706 for (2399ds/3Mi) 0.24/0.50 % (6924)Instruction limit reached! 0.24/0.50 % (6924)------------------------------ 0.24/0.50 % (6924)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.50 % (6924)Termination reason: Unknown 0.24/0.50 % (6924)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (6924)Memory used [KB]: 1279 0.24/0.50 % (6924)Time elapsed: 0.004 s 0.24/0.50 % (6924)Instructions burned: 3 (million) 0.24/0.50 % (6924)------------------------------ 0.24/0.50 % (6924)------------------------------ 0.24/0.51 % (6928)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_6706 for (2399ds/7Mi) 0.24/0.51 % (6928)Instruction limit reached! 0.24/0.51 % (6928)------------------------------ 0.24/0.51 % (6928)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.51 % (6928)Termination reason: Unknown 0.24/0.51 % (6928)Termination phase: shuffling 0.24/0.51 0.24/0.51 % (6928)Memory used [KB]: 1407 0.24/0.51 % (6928)Time elapsed: 0.006 s 0.24/0.51 % (6928)Instructions burned: 7 (million) 0.24/0.51 % (6928)------------------------------ 0.24/0.51 % (6928)------------------------------ 0.24/0.52 % (6930)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_6706 for (2399ds/3Mi) 0.24/0.52 % (6901)Instruction limit reached! 0.24/0.52 % (6901)------------------------------ 0.24/0.52 % (6901)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.52 % (6901)Termination reason: Unknown 0.24/0.52 % (6901)Termination phase: Saturation 0.24/0.52 0.24/0.52 % (6901)Memory used [KB]: 7419 0.24/0.52 % (6901)Time elapsed: 0.094 s 0.24/0.52 % (6901)Instructions burned: 183 (million) 0.24/0.52 % (6901)------------------------------ 0.24/0.52 % (6901)------------------------------ 0.24/0.52 % (6931)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_6706 for (2399ds/4Mi) 0.24/0.52 % (6932)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_6706 for (2399ds/18Mi) 0.24/0.52 % (6930)Instruction limit reached! 0.24/0.52 % (6930)------------------------------ 0.24/0.52 % (6930)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.52 % (6930)Termination reason: Unknown 0.24/0.52 % (6930)Termination phase: shuffling 0.24/0.52 0.24/0.52 % (6930)Memory used [KB]: 1279 0.24/0.52 % (6930)Time elapsed: 0.004 s 0.24/0.52 % (6930)Instructions burned: 4 (million) 0.24/0.52 % (6930)------------------------------ 0.24/0.52 % (6930)------------------------------ 0.24/0.52 % (6931)Instruction limit reached! 0.24/0.52 % (6931)------------------------------ 0.24/0.52 % (6931)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.52 % (6931)Termination reason: Unknown 0.24/0.52 % (6931)Termination phase: shuffling 0.24/0.52 0.24/0.52 % (6931)Memory used [KB]: 1279 0.24/0.52 % (6931)Time elapsed: 0.004 s 0.24/0.52 % (6931)Instructions burned: 4 (million) 0.24/0.52 % (6931)------------------------------ 0.24/0.52 % (6931)------------------------------ 0.24/0.53 % (6933)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_6706 for (2398ds/710Mi) 0.24/0.53 % (6932)Instruction limit reached! 0.24/0.53 % (6932)------------------------------ 0.24/0.53 % (6932)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.53 % (6934)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_6706 for (2398ds/6Mi) 0.24/0.53 % (6932)Termination reason: Unknown 0.24/0.53 % (6932)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (6932)Memory used [KB]: 1663 0.24/0.53 % (6932)Time elapsed: 0.012 s 0.24/0.53 % (6932)Instructions burned: 19 (million) 0.24/0.53 % (6932)------------------------------ 0.24/0.53 % (6932)------------------------------ 0.24/0.53 % (6934)Instruction limit reached! 0.24/0.53 % (6934)------------------------------ 0.24/0.53 % (6934)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.53 % (6934)Termination reason: Unknown 0.24/0.53 % (6934)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (6934)Memory used [KB]: 1407 0.24/0.53 % (6934)Time elapsed: 0.005 s 0.24/0.53 % (6934)Instructions burned: 7 (million) 0.24/0.53 % (6934)------------------------------ 0.24/0.53 % (6934)------------------------------ 0.24/0.53 % (6935)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_6706 for (2398ds/902Mi) 0.24/0.53 % (6936)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_6706 for (2398ds/21Mi) 1.08/0.55 % (6906)Instruction limit reached! 1.08/0.55 % (6906)------------------------------ 1.08/0.55 % (6906)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.08/0.55 % (6906)Termination reason: Unknown 1.08/0.55 % (6906)Termination phase: Saturation 1.08/0.55 1.08/0.55 % (6906)Memory used [KB]: 8187 1.08/0.55 % (6906)Time elapsed: 0.119 s 1.08/0.55 % (6906)Instructions burned: 277 (million) 1.08/0.55 % (6906)------------------------------ 1.08/0.55 % (6906)------------------------------ 1.08/0.55 % (6936)Instruction limit reached! 1.08/0.55 % (6936)------------------------------ 1.08/0.55 % (6936)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.08/0.55 % (6936)Termination reason: Unknown 1.08/0.55 % (6936)Termination phase: shuffling 1.08/0.55 1.08/0.55 % (6936)Memory used [KB]: 1663 1.08/0.55 % (6936)Time elapsed: 0.013 s 1.08/0.55 % (6936)Instructions burned: 21 (million) 1.08/0.55 % (6936)------------------------------ 1.08/0.55 % (6936)------------------------------ 1.08/0.55 % (6940)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_6706 for (2398ds/6Mi) 1.08/0.55 % (6940)Instruction limit reached! 1.08/0.55 % (6940)------------------------------ 1.08/0.55 % (6940)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.08/0.55 % (6940)Termination reason: Unknown 1.08/0.55 % (6940)Termination phase: shuffling 1.08/0.55 1.08/0.55 % (6940)Memory used [KB]: 1407 1.08/0.55 % (6940)Time elapsed: 0.005 s 1.08/0.55 % (6940)Instructions burned: 6 (million) 1.08/0.55 % (6940)------------------------------ 1.08/0.55 % (6940)------------------------------ 1.08/0.55 % (6938)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_6706 for (2398ds/5Mi) 1.08/0.55 % (6938)Instruction limit reached! 1.08/0.55 % (6938)------------------------------ 1.08/0.55 % (6938)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.08/0.55 % (6938)Termination reason: Unknown 1.08/0.55 % (6938)Termination phase: shuffling 1.08/0.55 1.08/0.55 % (6938)Memory used [KB]: 1407 1.08/0.55 % (6938)Time elapsed: 0.005 s 1.08/0.55 % (6938)Instructions burned: 6 (million) 1.08/0.55 % (6938)------------------------------ 1.08/0.55 % (6938)------------------------------ 1.08/0.55 % (6941)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_6706 for (2398ds/377Mi) 1.08/0.56 % (6942)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_6706 for (2398ds/779Mi) 1.21/0.57 % (6943)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_6706 for (2398ds/19Mi) 1.21/0.57 % (6944)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_6706 for (2398ds/879Mi) 1.21/0.58 % (6943)Instruction limit reached! 1.21/0.58 % (6943)------------------------------ 1.21/0.58 % (6943)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.21/0.58 % (6943)Termination reason: Unknown 1.21/0.58 % (6943)Termination phase: shuffling 1.21/0.58 1.21/0.58 % (6943)Memory used [KB]: 1663 1.21/0.58 % (6943)Time elapsed: 0.012 s 1.21/0.58 % (6943)Instructions burned: 20 (million) 1.21/0.58 % (6943)------------------------------ 1.21/0.58 % (6943)------------------------------ 1.21/0.59 % (6946)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_6706 for (2398ds/17Mi) 1.21/0.60 % (6946)Instruction limit reached! 1.21/0.60 % (6946)------------------------------ 1.21/0.60 % (6946)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.21/0.60 % (6946)Termination reason: Unknown 1.21/0.60 % (6946)Termination phase: shuffling 1.21/0.60 1.21/0.60 % (6946)Memory used [KB]: 1663 1.21/0.60 % (6946)Time elapsed: 0.009 s 1.21/0.60 % (6946)Instructions burned: 19 (million) 1.21/0.60 % (6946)------------------------------ 1.21/0.60 % (6946)------------------------------ 1.21/0.61 % (6948)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_6706 for (2397ds/3Mi) 1.21/0.61 % (6948)Instruction limit reached! 1.21/0.61 % (6948)------------------------------ 1.21/0.61 % (6948)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.21/0.61 % (6948)Termination reason: Unknown 1.21/0.61 % (6948)Termination phase: shuffling 1.21/0.61 1.21/0.61 % (6948)Memory used [KB]: 1279 1.21/0.61 % (6948)Time elapsed: 0.003 s 1.21/0.61 % (6948)Instructions burned: 3 (million) 1.21/0.61 % (6948)------------------------------ 1.21/0.61 % (6948)------------------------------ 1.21/0.62 % (6949)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_6706 for (2397ds/30Mi) 1.21/0.63 % (6949)Instruction limit reached! 1.21/0.63 % (6949)------------------------------ 1.21/0.63 % (6949)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.21/0.63 % (6949)Termination reason: Unknown 1.21/0.63 % (6949)Termination phase: Property scanning 1.21/0.63 1.21/0.63 % (6949)Memory used [KB]: 1791 1.21/0.63 % (6949)Time elapsed: 0.011 s 1.21/0.63 % (6949)Instructions burned: 32 (million) 1.21/0.63 % (6949)------------------------------ 1.21/0.63 % (6949)------------------------------ 1.49/0.64 % (6957)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_6706 for (2397ds/127Mi) 1.49/0.64 % (6935)First to succeed. 1.49/0.65 % (6935)Refutation found. Thanks to Tanya! 1.49/0.65 % SZS status Theorem for E---3.1_6706 1.49/0.65 % SZS output start Proof for E---3.1_6706 1.49/0.65 thf(func_def_0, type, in: $i > $i > $o). 1.49/0.65 thf(func_def_1, type, exu: ($i > $o) > $o). 1.49/0.65 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.49/0.65 thf(func_def_8, type, powerset: $i > $i). 1.49/0.65 thf(func_def_10, type, setunion: $i > $i). 1.49/0.65 thf(func_def_19, type, descr: ($i > $o) > $i). 1.49/0.65 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_26, type, prop2set: $o > $i). 1.49/0.65 thf(func_def_36, type, nonempty: $i > $o). 1.49/0.65 thf(func_def_69, type, set2prop: $i > $o). 1.49/0.65 thf(func_def_88, type, subset: $i > $i > $o). 1.49/0.65 thf(func_def_89, type, disjoint: $i > $i > $o). 1.49/0.65 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.49/0.65 thf(func_def_114, type, binunion: $i > $i > $i). 1.49/0.65 thf(func_def_122, type, binintersect: $i > $i > $i). 1.49/0.65 thf(func_def_135, type, regular: $i > $o). 1.49/0.65 thf(func_def_136, type, setminus: $i > $i > $i). 1.49/0.65 thf(func_def_147, type, symdiff: $i > $i > $i). 1.49/0.65 thf(func_def_153, type, iskpair: $i > $o). 1.49/0.65 thf(func_def_158, type, kpair: $i > $i > $i). 1.49/0.65 thf(func_def_160, type, cartprod: $i > $i > $i). 1.49/0.65 thf(func_def_177, type, singleton: $i > $o). 1.49/0.65 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.49/0.65 thf(func_def_184, type, atmost1p: $i > $o). 1.49/0.65 thf(func_def_185, type, atleast2p: $i > $o). 1.49/0.65 thf(func_def_186, type, atmost2p: $i > $o). 1.49/0.65 thf(func_def_187, type, upairsetp: $i > $o). 1.49/0.65 thf(func_def_200, type, sP0: $i > $i > $i > $o > $o). 1.49/0.65 thf(func_def_203, type, sP3: $i > $i > $o). 1.49/0.65 thf(func_def_204, type, sP4: $i > $o). 1.49/0.65 thf(func_def_205, type, sP5: $i > $i > $o). 1.49/0.65 thf(func_def_206, type, sP6: $i > $i > $o). 1.49/0.65 thf(func_def_225, type, sK25: $i > $o). 1.49/0.65 thf(func_def_263, type, sK63: $i > $i). 1.49/0.65 thf(func_def_283, type, sK83: $i > $o). 1.49/0.65 thf(func_def_293, type, sK93: $i > $o). 1.49/0.65 thf(func_def_300, type, sK100: $i > $o). 1.49/0.65 thf(func_def_303, type, sK103: $i > $o). 1.49/0.65 thf(func_def_309, type, sK109: $i > $o). 1.49/0.65 thf(func_def_311, type, sK111: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_312, type, sK112: $i > $i). 1.49/0.65 thf(func_def_314, type, sK114: $i > $i). 1.49/0.65 thf(func_def_320, type, sK120: $i > $o). 1.49/0.65 thf(func_def_322, type, sK122: ($i > $o) > $i > $i). 1.49/0.65 thf(func_def_338, type, sK138: ($i > $o) > $i > $i). 1.49/0.65 thf(func_def_340, type, sK140: $i > $o). 1.49/0.65 thf(func_def_342, type, sK142: ($i > $o) > ($i > $o) > $i > $i > $i). 1.49/0.65 thf(func_def_343, type, sK143: ($i > $o) > ($i > $o) > $i > $i > $i). 1.49/0.65 thf(func_def_346, type, sK146: $i > $o). 1.49/0.65 thf(func_def_347, type, sK147: $i > $o). 1.49/0.65 thf(func_def_349, type, sK149: $i > $o). 1.49/0.65 thf(func_def_351, type, sK151: ($i > $o) > $i > $i). 1.49/0.65 thf(func_def_354, type, sK154: $i > $i). 1.49/0.65 thf(func_def_367, type, sK167: $i > $i > $i). 1.49/0.65 thf(func_def_370, type, sK170: $i > $i > $i). 1.49/0.65 thf(func_def_377, type, sK177: $i > $i). 1.49/0.65 thf(func_def_383, type, sK183: $i > $i > $i). 1.49/0.65 thf(func_def_387, type, sK187: $i > $i > $i). 1.49/0.65 thf(func_def_400, type, sK200: $i > $o). 1.49/0.65 thf(func_def_401, type, sK201: ($i > $o) > $i). 1.49/0.65 thf(func_def_402, type, sK202: $i > $o). 1.49/0.65 thf(func_def_403, type, sK203: $i > $i). 1.49/0.65 thf(func_def_417, type, sK217: $i > $i > $i). 1.49/0.65 thf(func_def_418, type, sK218: $i > $i > $i). 1.49/0.65 thf(func_def_419, type, sK219: ($i > $o) > $i). 1.49/0.65 thf(func_def_420, type, sK220: ($i > $o) > $i). 1.49/0.65 thf(func_def_421, type, sK221: $i > $o). 1.49/0.65 thf(func_def_425, type, sK225: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_426, type, sK226: $i > $o). 1.49/0.65 thf(func_def_428, type, sK228: ($i > $o) > $i > $i). 1.49/0.65 thf(func_def_430, type, sK230: $i > $o). 1.49/0.65 thf(func_def_446, type, sK246: $i > $i). 1.49/0.65 thf(func_def_450, type, sK250: $i > $o). 1.49/0.65 thf(func_def_453, type, sK253: $i > $i > $i). 1.49/0.65 thf(func_def_457, type, sK257: $i > $i > $i). 1.49/0.65 thf(func_def_460, type, sK260: $i > $o). 1.49/0.65 thf(func_def_461, type, sK261: ($i > $o) > $i > $i > $i). 1.49/0.65 thf(func_def_471, type, sK271: $i > $i > $i). 1.49/0.65 thf(func_def_482, type, sK282: $i > $o). 1.49/0.65 thf(func_def_486, type, sK286: $i > $o). 1.49/0.65 thf(func_def_489, type, sK289: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_491, type, sK291: $i > $o). 1.49/0.65 thf(func_def_493, type, sK293: ($i > $o) > $i > $i). 1.49/0.65 thf(func_def_494, type, sK294: ($i > $o) > $i > $i). 1.49/0.65 thf(func_def_498, type, sK298: $i > $o). 1.49/0.65 thf(func_def_508, type, sK308: $i > $i > $i > $i). 1.49/0.65 thf(func_def_509, type, sK309: $i > $i > $i > $i). 1.49/0.65 thf(func_def_521, type, sK321: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_522, type, sK322: $i > $o). 1.49/0.65 thf(func_def_526, type, sK326: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_527, type, sK327: $i > $o). 1.49/0.65 thf(func_def_531, type, sK331: $i > $i > $o). 1.49/0.65 thf(func_def_532, type, sK332: $i > $i). 1.49/0.65 thf(func_def_533, type, sK333: $i > $i). 1.49/0.65 thf(func_def_534, type, sK334: ($i > $i > $o) > $i > $i). 1.49/0.65 thf(func_def_535, type, sK335: ($i > $i > $o) > $i > $i). 1.49/0.65 thf(func_def_536, type, sK336: $i > ($i > $i > $o) > $i > $i). 1.49/0.65 thf(func_def_544, type, sK344: $i > $o). 1.49/0.65 thf(func_def_547, type, sK347: $i > $i > $i). 1.49/0.65 thf(func_def_552, type, sK352: $i > $i > $i). 1.49/0.65 thf(func_def_553, type, sK353: $i > $i > $i). 1.49/0.65 thf(func_def_554, type, sK354: $i > $i > $i). 1.49/0.65 thf(func_def_555, type, sK355: $i > $i > $i). 1.49/0.65 thf(func_def_556, type, sK356: $i > $i > $i). 1.49/0.65 thf(func_def_557, type, sK357: $i > $i > $i > $i). 1.49/0.65 thf(func_def_558, type, sK358: $i > $i). 1.49/0.65 thf(func_def_559, type, sK359: $i > $i). 1.49/0.65 thf(func_def_560, type, sK360: $i > $i). 1.49/0.65 thf(func_def_561, type, sK361: $i > $i). 1.49/0.65 thf(func_def_562, type, sK362: $i > $i > $i). 1.49/0.65 thf(func_def_563, type, sK363: $i > $i > $i > $i). 1.49/0.65 thf(func_def_564, type, sK364: $i > $i > $i > $i). 1.49/0.65 thf(func_def_565, type, sK365: $i > $i > $i). 1.49/0.65 thf(func_def_566, type, sK366: $i > $i > $i). 1.49/0.65 thf(func_def_568, type, sK368: $i > $i). 1.49/0.65 thf(func_def_569, type, sK369: $i > $i). 1.49/0.65 thf(func_def_570, type, sK370: $i > $i). 1.49/0.65 thf(func_def_589, type, sK389: $i > $o). 1.49/0.65 thf(func_def_590, type, sK390: $i > $o). 1.49/0.65 thf(func_def_591, type, sK391: ($i > $o) > $i). 1.49/0.65 thf(func_def_596, type, sK396: ($i > $o) > ($i > $o) > $i). 1.49/0.65 thf(func_def_597, type, sK397: ($i > $o) > ($i > $o) > $i). 1.49/0.65 thf(func_def_598, type, sK398: $i > $o). 1.49/0.65 thf(func_def_599, type, sK399: $i > $o). 1.49/0.65 thf(func_def_609, type, sK409: $o > $i > $i > $i). 1.49/0.65 thf(func_def_614, type, sK414: $i > $i). 1.49/0.65 thf(func_def_621, type, sK421: $i > $o). 1.49/0.65 thf(func_def_624, type, sK424: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_625, type, sK425: $i > ($i > $o) > $i). 1.49/0.65 thf(func_def_626, type, sK426: $i > $o). 1.49/0.65 thf(func_def_627, type, sK427: $i > $i). 1.49/0.65 thf(func_def_628, type, sK428: ($i > $o) > $i). 1.49/0.65 thf(func_def_629, type, sK429: ($i > $o) > ($i > $o) > $i). 1.49/0.65 thf(func_def_630, type, sK430: ($i > $o) > ($i > $o) > $i). 1.49/0.65 thf(func_def_631, type, sK431: $i > $o). 1.49/0.65 thf(func_def_632, type, sK432: $i > $o). 1.49/0.65 thf(func_def_636, type, sK436: $i > $o). 1.49/0.65 thf(func_def_646, type, ph446: !>[X0: $tType]:(X0)). 1.49/0.65 thf(f3756,plain,( 1.49/0.65 $false), 1.49/0.65 inference(avatar_sat_refutation,[],[f2383,f2532,f2806,f3751])). 1.49/0.65 thf(f3751,plain,( 1.49/0.65 ~spl445_7), 1.49/0.65 inference(avatar_contradiction_clause,[],[f3750])). 1.49/0.65 thf(f3750,plain,( 1.49/0.65 $false | ~spl445_7), 1.49/0.65 inference(trivial_inequality_removal,[],[f3737])). 1.49/0.65 thf(f3737,plain,( 1.49/0.65 (sK208 != sK208) | ~spl445_7), 1.49/0.65 inference(superposition,[],[f1800,f2638])). 1.49/0.65 thf(f2638,plain,( 1.49/0.65 (sK208 = sK209) | ~spl445_7), 1.49/0.65 inference(avatar_component_clause,[],[f2636])). 1.49/0.65 thf(f2636,plain,( 1.49/0.65 spl445_7 <=> (sK208 = sK209)), 1.49/0.65 introduced(avatar_definition,[new_symbols(naming,[spl445_7])])). 1.49/0.65 thf(f1800,plain,( 1.49/0.65 (sK208 != sK209)), 1.49/0.65 inference(cnf_transformation,[],[f1045])). 1.49/0.65 thf(f1045,plain,( 1.49/0.65 (eqimpsubset1 = $true) & (powerset__Cong = $true) & (setunion__Cong = $true) & (dsetconstr__Cong = $true) & (setbeta = $true) & (in__Cong = $true) & (setminusER = $true) & (exuE3u = $true) & (quantDeMorgan1 = $true) & (sepSubset = $true) & (cartprodmempair = $true) & (binunionRsub = $true) & (notequalI1 = $true) & (binintersectEL = $true) & (emptyI = $true) & (quantDeMorgan4 = $true) & (setminusSubset2 = $true) & (setadjoinIL = $true) & (descrp = $true) & (upairsetIR = $true) & (secondinupair = $true) & (binintersectI = $true) & (setunionsingleton1 = $true) & (emptyE1 = $true) & (dsetconstrI = $true) & (subsetI1 = $true) & (kpairp = $true) & (exuI1 = $true) & (bs114d = $true) & (setextsub = $true) & (descr__Cong = $true) & (setminusEL = $true) & (subsetemptysetimpeq = $true) & (ex1E1 = $true) & (singletoninpowerset = $true) & (setadjoinSub = $true) & (notequalI2 = $true) & (binintersectSubset5 = $true) & (notinsingleton = $true) & (setadjoin__Cong = $true) & (setunionI = $true) & (setunionsingleton2 = $true) & (symdiffI1 = $true) & (setadjoinE = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (binunionEcases = $true) & (subsetE = $true) & (notsubsetI = $true) & (ex1I2 = $true) & (symdiffI2 = $true) & (powersetAx = $true) & (nonemptyImpWitness = $true) & (setminusELneg = $true) & (nonemptyI = $true) & (eqimpsubset2 = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (ex1I = $true) & (setukpairIL = $true) & (emptyinPowerset = $true) & (replAx = $true) & (setadjoinIR = $true) & (emptysetAx = $true) & (sepInPowerset = $true) & (emptysetE = $true) & (setminusLsub = $true) & (setminusSubset1 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (subsetI2 = $true) & (setminusI = $true) & (powersetE = $true) & (notdexE = $true) & (singletoninpowunion = $true) & (omega__Cong = $true) & ((sK208 != sK209) & ($true = (in @ (setadjoin @ sK209 @ emptyset) @ (setadjoin @ (setadjoin @ sK208 @ emptyset) @ (setadjoin @ (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset)) @ emptyset))))) & (upairsubunion = $true) & (binintersectSubset1 = $true) & (inPowerset = $true) & (powersetE1 = $true) & (exuI2 = $true) & (setunionsingleton = $true) & (setadjoinAx = $true) & (uniqinunit = $true) & (exu__Cong = $true) & (binunionIL = $true) & (emptyInPowerset = $true) & (inCongP = $true) & (symdiffIneg1 = $true) & (upairset2E = $true) & (binintersectLsub = $true) & (powersetI = $true) & (setoftrueEq = $true) & (binintersectER = $true) & (cartprodmempair1 = $true) & (subset2powerset = $true) & (foundationAx = $true) & (subsetRefl = $true) & (noeltsimpempty = $true) & (exuE3e = $true) & (setadjoinOr = $true) & (exuE2 = $true) & (setukpairIR = $true) & (subPowSU = $true) & (quantDeMorgan3 = $true) & (binunionIR = $true) & (omega0Ax = $true) & (setunionE = $true) & (exuEu = $true) & (setunionAx = $true) & (subsetE2 = $true) & (emptysetimpfalse = $true) & (prop2set2propI = $true) & (omegaSAx = $true) & (upairinpowunion = $true) & (ubforcartprodlem2 = $true) & (powersetsubset = $true) & (exuE1 = $true) & (binintersectSubset4 = $true) & (singletonprop = $true) & (setextAx = $true) & (symdiffE = $true) & (upairsetE = $true) & (kpairiskpair = $true) & (dsetconstrER = $true) & (singletonsubset = $true) & (prop2setI = $true) & (ubforcartprodlem3 = $true) & (symdiffIneg2 = $true) & (setadjoinSub2 = $true) & (setext = $true) & (ubforcartprodlem1 = $true) & (binintersectSubset2 = $true) & (setminusILneg = $true) & (wellorderingAx = $true) & (singletonsuniq = $true) & (setminusERneg = $true) & (setunionE2 = $true) & (notdallE = $true) & (emptysetsubset = $true) & (singletonsswitch = $true) & (powersetI1 = $true) & (setminusIRneg = $true) & (notinemptyset = $true) & (prop2setE = $true) & (dsetconstrEL = $true) & (binunionE = $true) & (omegaIndAx = $true) & (emptyinunitempty = $true) & (nonemptyE1 = $true) & (nonemptyI1 = $true) & (upairset2IR = $true) & (cartprodpairin = $true) & (upairsetIL = $true) & (binunionLsub = $true) & (binintersectSubset3 = $true) & (eqinunit = $true) & (exuI3 = $true)), 1.49/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK207,sK208,sK209])],[f676,f1044])). 1.49/0.65 thf(f1044,plain,( 1.49/0.65 ? [X0,X1,X2] : ((X1 != X2) & ($true = (in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) => ((sK208 != sK209) & ($true = (in @ (setadjoin @ sK209 @ emptyset) @ (setadjoin @ (setadjoin @ sK208 @ emptyset) @ (setadjoin @ (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset)) @ emptyset)))))), 1.49/0.65 introduced(choice_axiom,[])). 1.49/0.65 thf(f676,plain,( 1.49/0.65 (eqimpsubset1 = $true) & (powerset__Cong = $true) & (setunion__Cong = $true) & (dsetconstr__Cong = $true) & (setbeta = $true) & (in__Cong = $true) & (setminusER = $true) & (exuE3u = $true) & (quantDeMorgan1 = $true) & (sepSubset = $true) & (cartprodmempair = $true) & (binunionRsub = $true) & (notequalI1 = $true) & (binintersectEL = $true) & (emptyI = $true) & (quantDeMorgan4 = $true) & (setminusSubset2 = $true) & (setadjoinIL = $true) & (descrp = $true) & (upairsetIR = $true) & (secondinupair = $true) & (binintersectI = $true) & (setunionsingleton1 = $true) & (emptyE1 = $true) & (dsetconstrI = $true) & (subsetI1 = $true) & (kpairp = $true) & (exuI1 = $true) & (bs114d = $true) & (setextsub = $true) & (descr__Cong = $true) & (setminusEL = $true) & (subsetemptysetimpeq = $true) & (ex1E1 = $true) & (singletoninpowerset = $true) & (setadjoinSub = $true) & (notequalI2 = $true) & (binintersectSubset5 = $true) & (notinsingleton = $true) & (setadjoin__Cong = $true) & (setunionI = $true) & (setunionsingleton2 = $true) & (symdiffI1 = $true) & (setadjoinE = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (binunionEcases = $true) & (subsetE = $true) & (notsubsetI = $true) & (ex1I2 = $true) & (symdiffI2 = $true) & (powersetAx = $true) & (nonemptyImpWitness = $true) & (setminusELneg = $true) & (nonemptyI = $true) & (eqimpsubset2 = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (ex1I = $true) & (setukpairIL = $true) & (emptyinPowerset = $true) & (replAx = $true) & (setadjoinIR = $true) & (emptysetAx = $true) & (sepInPowerset = $true) & (emptysetE = $true) & (setminusLsub = $true) & (setminusSubset1 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (subsetI2 = $true) & (setminusI = $true) & (powersetE = $true) & (notdexE = $true) & (singletoninpowunion = $true) & (omega__Cong = $true) & ? [X0,X1,X2] : ((X1 != X2) & ($true = (in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) & (upairsubunion = $true) & (binintersectSubset1 = $true) & (inPowerset = $true) & (powersetE1 = $true) & (exuI2 = $true) & (setunionsingleton = $true) & (setadjoinAx = $true) & (uniqinunit = $true) & (exu__Cong = $true) & (binunionIL = $true) & (emptyInPowerset = $true) & (inCongP = $true) & (symdiffIneg1 = $true) & (upairset2E = $true) & (binintersectLsub = $true) & (powersetI = $true) & (setoftrueEq = $true) & (binintersectER = $true) & (cartprodmempair1 = $true) & (subset2powerset = $true) & (foundationAx = $true) & (subsetRefl = $true) & (noeltsimpempty = $true) & (exuE3e = $true) & (setadjoinOr = $true) & (exuE2 = $true) & (setukpairIR = $true) & (subPowSU = $true) & (quantDeMorgan3 = $true) & (binunionIR = $true) & (omega0Ax = $true) & (setunionE = $true) & (exuEu = $true) & (setunionAx = $true) & (subsetE2 = $true) & (emptysetimpfalse = $true) & (prop2set2propI = $true) & (omegaSAx = $true) & (upairinpowunion = $true) & (ubforcartprodlem2 = $true) & (powersetsubset = $true) & (exuE1 = $true) & (binintersectSubset4 = $true) & (singletonprop = $true) & (setextAx = $true) & (symdiffE = $true) & (upairsetE = $true) & (kpairiskpair = $true) & (dsetconstrER = $true) & (singletonsubset = $true) & (prop2setI = $true) & (ubforcartprodlem3 = $true) & (symdiffIneg2 = $true) & (setadjoinSub2 = $true) & (setext = $true) & (ubforcartprodlem1 = $true) & (binintersectSubset2 = $true) & (setminusILneg = $true) & (wellorderingAx = $true) & (singletonsuniq = $true) & (setminusERneg = $true) & (setunionE2 = $true) & (notdallE = $true) & (emptysetsubset = $true) & (singletonsswitch = $true) & (powersetI1 = $true) & (setminusIRneg = $true) & (notinemptyset = $true) & (prop2setE = $true) & (dsetconstrEL = $true) & (binunionE = $true) & (omegaIndAx = $true) & (emptyinunitempty = $true) & (nonemptyE1 = $true) & (nonemptyI1 = $true) & (upairset2IR = $true) & (cartprodpairin = $true) & (upairsetIL = $true) & (binunionLsub = $true) & (binintersectSubset3 = $true) & (eqinunit = $true) & (exuI3 = $true)), 1.49/0.65 inference(flattening,[],[f675])). 1.49/0.65 thf(f675,plain,( 1.49/0.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((X1 != X2) & ($true = (in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.49/0.65 inference(ennf_transformation,[],[f458])). 1.49/0.65 thf(f458,plain,( 1.49/0.65 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ! [X0,X1,X2] : (($true = (in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset)))) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.49/0.65 inference(fool_elimination,[],[f457])). 1.49/0.65 thf(f457,plain,( 1.49/0.65 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => ! [X0,X1,X2] : ((in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.49/0.65 inference(rectify,[],[f166])). 1.49/0.65 thf(f166,negated_conjecture,( 1.49/0.65 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => ! [X2,X1,X8] : ((in @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X1 = X8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.49/0.65 inference(negated_conjecture,[],[f165])). 1.49/0.65 thf(f165,conjecture,( 1.49/0.65 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => ! [X2,X1,X8] : ((in @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X1 = X8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.49/0.65 file('/export/starexec/sandbox2/tmp/tmp.wDJ9OZG11H/E---3.1_6706.p',setukpairinjL1)). 1.49/0.65 thf(f2806,plain,( 1.49/0.65 spl445_7 | ~spl445_1), 1.49/0.65 inference(avatar_split_clause,[],[f2632,f2355,f2636])). 1.49/0.65 thf(f2355,plain,( 1.49/0.65 spl445_1 <=> ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset)))), 1.49/0.65 introduced(avatar_definition,[new_symbols(naming,[spl445_1])])). 1.49/0.65 thf(f2632,plain,( 1.49/0.65 (sK208 = sK209) | ~spl445_1), 1.49/0.65 inference(trivial_inequality_removal,[],[f2631])). 1.49/0.65 thf(f2631,plain,( 1.49/0.65 (sK208 = sK209) | ($true != $true) | ~spl445_1), 1.49/0.65 inference(forward_demodulation,[],[f2627,f1791])). 1.49/0.65 thf(f1791,plain,( 1.49/0.65 (uniqinunit = $true)), 1.49/0.65 inference(cnf_transformation,[],[f1045])). 1.49/0.65 thf(f2627,plain,( 1.49/0.65 (sK208 = sK209) | (uniqinunit != $true) | ~spl445_1), 1.49/0.65 inference(trivial_inequality_removal,[],[f2617])). 1.49/0.65 thf(f2617,plain,( 1.49/0.65 (sK208 = sK209) | ($true != $true) | (uniqinunit != $true) | ~spl445_1), 1.49/0.65 inference(superposition,[],[f1694,f2562])). 1.49/0.65 thf(f2562,plain,( 1.49/0.65 ($true = (in @ sK208 @ (setadjoin @ sK209 @ emptyset))) | ~spl445_1), 1.49/0.65 inference(trivial_inequality_removal,[],[f2561])). 1.49/0.65 thf(f2561,plain,( 1.49/0.65 ($true != $true) | ($true = (in @ sK208 @ (setadjoin @ sK209 @ emptyset))) | ~spl445_1), 1.49/0.65 inference(forward_demodulation,[],[f2540,f1721])). 1.49/0.65 thf(f1721,plain,( 1.49/0.65 (upairsetIL = $true)), 1.49/0.65 inference(cnf_transformation,[],[f1045])). 1.49/0.65 thf(f2540,plain,( 1.49/0.65 ($true = (in @ sK208 @ (setadjoin @ sK209 @ emptyset))) | (upairsetIL != $true) | ~spl445_1), 1.49/0.65 inference(superposition,[],[f1560,f2357])). 1.49/0.65 thf(f2357,plain,( 1.49/0.65 ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset))) | ~spl445_1), 1.49/0.65 inference(avatar_component_clause,[],[f2355])). 1.49/0.65 thf(f1560,plain,( 1.49/0.65 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))) | (upairsetIL != $true)) )), 1.49/0.65 inference(cnf_transformation,[],[f864])). 1.49/0.65 thf(f864,plain,( 1.49/0.65 ((upairsetIL = $true) | ((in @ sK98 @ (setadjoin @ sK98 @ (setadjoin @ sK99 @ emptyset))) != $true)) & (! [X2,X3] : ($true = (in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))) | (upairsetIL != $true))), 1.49/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK98,sK99])],[f862,f863])). 1.49/0.65 thf(f863,plain,( 1.49/0.65 ? [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) != $true) => ((in @ sK98 @ (setadjoin @ sK98 @ (setadjoin @ sK99 @ emptyset))) != $true)), 1.49/0.65 introduced(choice_axiom,[])). 1.49/0.65 thf(f862,plain,( 1.49/0.65 ((upairsetIL = $true) | ? [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) != $true)) & (! [X2,X3] : ($true = (in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))) | (upairsetIL != $true))), 1.49/0.65 inference(rectify,[],[f861])). 1.49/0.65 thf(f861,plain,( 1.49/0.65 ((upairsetIL = $true) | ? [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) != $true)) & (! [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = $true) | (upairsetIL != $true))), 1.49/0.65 inference(nnf_transformation,[],[f169])). 1.49/0.65 thf(f169,plain,( 1.49/0.65 (upairsetIL = $true) <=> ! [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = $true)), 1.49/0.65 inference(fool_elimination,[],[f168])). 1.49/0.65 thf(f168,plain,( 1.49/0.65 (upairsetIL = ! [X0,X1] : (in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))))), 1.49/0.65 inference(rectify,[],[f51])). 1.49/0.65 thf(f51,axiom,( 1.49/0.65 (upairsetIL = ! [X1,X2] : (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))), 1.49/0.65 file('/export/starexec/sandbox2/tmp/tmp.wDJ9OZG11H/E---3.1_6706.p',upairsetIL)). 1.49/0.65 thf(f1694,plain,( 1.49/0.65 ( ! [X0 : $i,X1 : $i] : (($true != (in @ X1 @ (setadjoin @ X0 @ emptyset))) | (uniqinunit != $true) | (X0 = X1)) )), 1.49/0.65 inference(cnf_transformation,[],[f1017])). 1.49/0.65 thf(f1017,plain,( 1.49/0.65 (! [X0,X1] : ((X0 = X1) | ($true != (in @ X1 @ (setadjoin @ X0 @ emptyset)))) | (uniqinunit != $true)) & ((uniqinunit = $true) | ((sK191 != sK190) & ($true = (in @ sK191 @ (setadjoin @ sK190 @ emptyset)))))), 1.49/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK190,sK191])],[f1015,f1016])). 1.49/0.65 thf(f1016,plain,( 1.49/0.65 ? [X2,X3] : ((X2 != X3) & ($true = (in @ X3 @ (setadjoin @ X2 @ emptyset)))) => ((sK191 != sK190) & ($true = (in @ sK191 @ (setadjoin @ sK190 @ emptyset))))), 1.49/0.65 introduced(choice_axiom,[])). 1.49/0.65 thf(f1015,plain,( 1.49/0.65 (! [X0,X1] : ((X0 = X1) | ($true != (in @ X1 @ (setadjoin @ X0 @ emptyset)))) | (uniqinunit != $true)) & ((uniqinunit = $true) | ? [X2,X3] : ((X2 != X3) & ($true = (in @ X3 @ (setadjoin @ X2 @ emptyset)))))), 1.49/0.65 inference(rectify,[],[f1014])). 1.49/0.65 thf(f1014,plain,( 1.49/0.65 (! [X0,X1] : ((X0 = X1) | ($true != (in @ X1 @ (setadjoin @ X0 @ emptyset)))) | (uniqinunit != $true)) & ((uniqinunit = $true) | ? [X0,X1] : ((X0 != X1) & ($true = (in @ X1 @ (setadjoin @ X0 @ emptyset)))))), 1.49/0.65 inference(nnf_transformation,[],[f613])). 1.49/0.65 thf(f613,plain,( 1.49/0.65 ! [X0,X1] : ((X0 = X1) | ($true != (in @ X1 @ (setadjoin @ X0 @ emptyset)))) <=> (uniqinunit = $true)), 1.49/0.65 inference(ennf_transformation,[],[f185])). 1.49/0.65 thf(f185,plain,( 1.49/0.65 (uniqinunit = $true) <=> ! [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) => (X0 = X1))), 1.49/0.65 inference(fool_elimination,[],[f184])). 1.49/0.65 thf(f184,plain,( 1.49/0.65 (uniqinunit = ! [X0,X1] : ((in @ X1 @ (setadjoin @ X0 @ emptyset)) => (X0 = X1)))), 1.49/0.65 inference(rectify,[],[f46])). 1.49/0.65 thf(f46,axiom,( 1.49/0.65 (uniqinunit = ! [X2,X1] : ((in @ X1 @ (setadjoin @ X2 @ emptyset)) => (X1 = X2)))), 1.49/0.65 file('/export/starexec/sandbox2/tmp/tmp.wDJ9OZG11H/E---3.1_6706.p',uniqinunit)). 1.49/0.65 thf(f2532,plain,( 1.49/0.65 ~spl445_2), 1.49/0.65 inference(avatar_contradiction_clause,[],[f2531])). 1.49/0.65 thf(f2531,plain,( 1.49/0.65 $false | ~spl445_2), 1.49/0.65 inference(trivial_inequality_removal,[],[f2530])). 1.49/0.65 thf(f2530,plain,( 1.49/0.65 (sK208 != sK208) | ~spl445_2), 1.49/0.65 inference(superposition,[],[f1800,f2516])). 1.49/0.65 thf(f2516,plain,( 1.49/0.65 (sK208 = sK209) | ~spl445_2), 1.49/0.65 inference(trivial_inequality_removal,[],[f2515])). 1.49/0.65 thf(f2515,plain,( 1.49/0.65 (sK208 = sK209) | ($true != $true) | ~spl445_2), 1.49/0.65 inference(forward_demodulation,[],[f2508,f1793])). 1.49/0.65 thf(f1793,plain,( 1.49/0.65 (setunionsingleton = $true)), 1.49/0.65 inference(cnf_transformation,[],[f1045])). 1.49/0.65 thf(f2508,plain,( 1.49/0.65 (setunionsingleton != $true) | (sK208 = sK209) | ~spl445_2), 1.49/0.65 inference(superposition,[],[f2499,f2140])). 1.49/0.65 thf(f2140,plain,( 1.49/0.65 ( ! [X1 : $i] : (((setunion @ (setadjoin @ X1 @ emptyset)) = X1) | (setunionsingleton != $true)) )), 1.49/0.65 inference(cnf_transformation,[],[f1343])). 1.49/0.65 thf(f1343,plain,( 1.49/0.65 ((setunionsingleton = $true) | (sK381 != (setunion @ (setadjoin @ sK381 @ emptyset)))) & (! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1) | (setunionsingleton != $true))), 1.49/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK381])],[f1341,f1342])). 1.49/0.65 thf(f1342,plain,( 1.49/0.65 ? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0) => (sK381 != (setunion @ (setadjoin @ sK381 @ emptyset)))), 1.49/0.65 introduced(choice_axiom,[])). 1.49/0.65 thf(f1341,plain,( 1.49/0.65 ((setunionsingleton = $true) | ? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0)) & (! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1) | (setunionsingleton != $true))), 1.49/0.65 inference(rectify,[],[f1340])). 1.49/0.65 thf(f1340,plain,( 1.49/0.65 ((setunionsingleton = $true) | ? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0)) & (! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0) | (setunionsingleton != $true))), 1.49/0.65 inference(nnf_transformation,[],[f271])). 1.49/0.65 thf(f271,plain,( 1.49/0.65 (setunionsingleton = $true) <=> ! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0)), 1.49/0.65 inference(fool_elimination,[],[f270])). 1.49/0.65 thf(f270,plain,( 1.49/0.65 (setunionsingleton = ! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0))), 1.49/0.65 inference(rectify,[],[f157])). 1.49/0.65 thf(f157,axiom,( 1.49/0.65 (setunionsingleton = ! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1))), 1.49/0.65 file('/export/starexec/sandbox2/tmp/tmp.wDJ9OZG11H/E---3.1_6706.p',setunionsingleton)). 1.49/0.65 thf(f2499,plain,( 1.49/0.65 (sK209 = (setunion @ (setadjoin @ sK208 @ emptyset))) | ~spl445_2), 1.49/0.65 inference(trivial_inequality_removal,[],[f2498])). 1.49/0.65 thf(f2498,plain,( 1.49/0.65 (sK209 = (setunion @ (setadjoin @ sK208 @ emptyset))) | ($true != $true) | ~spl445_2), 1.49/0.65 inference(forward_demodulation,[],[f2407,f1793])). 1.49/0.65 thf(f2407,plain,( 1.49/0.65 (sK209 = (setunion @ (setadjoin @ sK208 @ emptyset))) | (setunionsingleton != $true) | ~spl445_2), 1.49/0.65 inference(superposition,[],[f2140,f2361])). 1.49/0.65 thf(f2361,plain,( 1.49/0.65 ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ emptyset)) | ~spl445_2), 1.49/0.65 inference(avatar_component_clause,[],[f2359])). 1.49/0.65 thf(f2359,plain,( 1.49/0.65 spl445_2 <=> ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ emptyset))), 1.49/0.65 introduced(avatar_definition,[new_symbols(naming,[spl445_2])])). 1.49/0.65 thf(f2383,plain,( 1.49/0.65 spl445_1 | spl445_2), 1.49/0.65 inference(avatar_split_clause,[],[f2382,f2359,f2355])). 1.49/0.65 thf(f2382,plain,( 1.49/0.65 ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset))) | ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ emptyset))), 1.49/0.65 inference(trivial_inequality_removal,[],[f2381])). 1.49/0.65 thf(f2381,plain,( 1.49/0.65 ($true != $true) | ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ emptyset)) | ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset)))), 1.49/0.65 inference(forward_demodulation,[],[f2346,f1752])). 1.49/0.65 thf(f1752,plain,( 1.49/0.65 (upairsetE = $true)), 1.49/0.65 inference(cnf_transformation,[],[f1045])). 1.49/0.65 thf(f2346,plain,( 1.49/0.65 ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset))) | ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ emptyset)) | (upairsetE != $true)), 1.49/0.65 inference(trivial_inequality_removal,[],[f2341])). 1.49/0.65 thf(f2341,plain,( 1.49/0.65 ($true != $true) | ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ emptyset)) | ((setadjoin @ sK209 @ emptyset) = (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset))) | (upairsetE != $true)), 1.49/0.65 inference(superposition,[],[f1645,f1799])). 1.49/0.65 thf(f1799,plain,( 1.49/0.65 ($true = (in @ (setadjoin @ sK209 @ emptyset) @ (setadjoin @ (setadjoin @ sK208 @ emptyset) @ (setadjoin @ (setadjoin @ sK208 @ (setadjoin @ sK207 @ emptyset)) @ emptyset))))), 1.49/0.65 inference(cnf_transformation,[],[f1045])). 1.49/0.65 thf(f1645,plain,( 1.49/0.65 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X3 @ (setadjoin @ X4 @ (setadjoin @ X5 @ emptyset)))) | (X3 = X5) | (upairsetE != $true) | (X3 = X4)) )), 1.49/0.65 inference(cnf_transformation,[],[f967])). 1.49/0.65 thf(f967,plain,( 1.49/0.65 ((upairsetE = $true) | ((sK158 != sK160) & ($true = (in @ sK158 @ (setadjoin @ sK159 @ (setadjoin @ sK160 @ emptyset)))) & (sK158 != sK159))) & (! [X3,X4,X5] : ((X3 = X5) | ($true != (in @ X3 @ (setadjoin @ X4 @ (setadjoin @ X5 @ emptyset)))) | (X3 = X4)) | (upairsetE != $true))), 1.49/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK158,sK159,sK160])],[f965,f966])). 1.49/0.65 thf(f966,plain,( 1.49/0.65 ? [X0,X1,X2] : ((X0 != X2) & ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) & (X0 != X1)) => ((sK158 != sK160) & ($true = (in @ sK158 @ (setadjoin @ sK159 @ (setadjoin @ sK160 @ emptyset)))) & (sK158 != sK159))), 1.49/0.65 introduced(choice_axiom,[])). 1.49/0.65 thf(f965,plain,( 1.49/0.65 ((upairsetE = $true) | ? [X0,X1,X2] : ((X0 != X2) & ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) & (X0 != X1))) & (! [X3,X4,X5] : ((X3 = X5) | ($true != (in @ X3 @ (setadjoin @ X4 @ (setadjoin @ X5 @ emptyset)))) | (X3 = X4)) | (upairsetE != $true))), 1.49/0.65 inference(rectify,[],[f964])). 1.49/0.65 thf(f964,plain,( 1.49/0.65 ((upairsetE = $true) | ? [X0,X1,X2] : ((X0 != X2) & ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) & (X0 != X1))) & (! [X0,X1,X2] : ((X0 = X2) | ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) | (X0 = X1)) | (upairsetE != $true))), 1.49/0.65 inference(nnf_transformation,[],[f568])). 1.49/0.65 thf(f568,plain,( 1.49/0.65 (upairsetE = $true) <=> ! [X0,X1,X2] : ((X0 = X2) | ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) | (X0 = X1))), 1.49/0.65 inference(flattening,[],[f567])). 1.49/0.65 thf(f567,plain,( 1.49/0.65 (upairsetE = $true) <=> ! [X0,X1,X2] : (((X0 = X1) | (X0 = X2)) | ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))))), 1.49/0.65 inference(ennf_transformation,[],[f489])). 1.49/0.65 thf(f489,plain,( 1.49/0.65 (upairsetE = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) => ((X0 = X1) | (X0 = X2)))), 1.49/0.65 inference(fool_elimination,[],[f488])). 1.49/0.65 thf(f488,plain,( 1.49/0.65 (upairsetE = ! [X0,X1,X2] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) => ((X0 = X1) | (X0 = X2))))), 1.49/0.65 inference(rectify,[],[f50])). 1.49/0.65 thf(f50,axiom,( 1.49/0.65 (upairsetE = ! [X8,X1,X2] : ((in @ X8 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) => ((X1 = X8) | (X2 = X8))))), 1.49/0.65 file('/export/starexec/sandbox2/tmp/tmp.wDJ9OZG11H/E---3.1_6706.p',upairsetE)). 1.49/0.65 % SZS output end Proof for E---3.1_6706 1.49/0.65 % (6935)------------------------------ 1.49/0.65 % (6935)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.65 % (6935)Termination reason: Refutation 1.49/0.65 1.49/0.65 % (6935)Memory used [KB]: 8827 1.49/0.65 % (6935)Time elapsed: 0.112 s 1.49/0.65 % (6935)Instructions burned: 243 (million) 1.49/0.65 % (6935)------------------------------ 1.49/0.65 % (6935)------------------------------ 1.49/0.65 % (6898)Success in time 0.256 s 1.49/0.65 EOF