0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d THM 0.09/0.30 % Computer : n027.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Thu Jul 4 08:28:54 EDT 2024 0.09/0.30 % CPUTime : 0.09/0.31 This is a THF_ problem 0.16/0.31 Running higher-order theorem proving 0.16/0.32 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p -m 16384 -t 180 0.17/0.34 % (12956)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_12844 for (1799ds/2Mi) 0.17/0.34 % (12952)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/183Mi) 0.17/0.34 % (12955)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/2Mi) 0.17/0.34 % (12957)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_12844 for (1799ds/275Mi) 0.17/0.34 % (12958)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/18Mi) 0.17/0.34 % (12953)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_12844 for (1799ds/4Mi) 0.17/0.34 % (12954)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_12844 for (1799ds/27Mi) 0.17/0.34 % (12955)Instruction limit reached! 0.17/0.34 % (12955)------------------------------ 0.17/0.34 % (12955)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.34 % (12955)Termination reason: Unknown 0.17/0.34 % (12955)Termination phase: shuffling 0.17/0.34 % (12956)Instruction limit reached! 0.17/0.34 % (12956)------------------------------ 0.17/0.34 % (12956)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.34 0.17/0.34 % (12955)Memory used [KB]: 1023 0.17/0.34 % (12955)Time elapsed: 0.002 s 0.17/0.34 % (12955)Instructions burned: 2 (million) 0.17/0.34 % (12955)------------------------------ 0.17/0.34 % (12955)------------------------------ 0.17/0.34 % (12956)Termination reason: Unknown 0.17/0.34 % (12956)Termination phase: shuffling 0.17/0.34 0.17/0.34 % (12956)Memory used [KB]: 1023 0.17/0.34 % (12956)Time elapsed: 0.003 s 0.17/0.34 % (12956)Instructions burned: 2 (million) 0.17/0.34 % (12956)------------------------------ 0.17/0.34 % (12956)------------------------------ 0.17/0.34 % (12953)Instruction limit reached! 0.17/0.34 % (12953)------------------------------ 0.17/0.34 % (12953)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.34 % (12953)Termination reason: Unknown 0.17/0.34 % (12953)Termination phase: Property scanning 0.17/0.34 0.17/0.34 % (12953)Memory used [KB]: 1151 0.17/0.34 % (12953)Time elapsed: 0.004 s 0.17/0.34 % (12953)Instructions burned: 5 (million) 0.17/0.34 % (12953)------------------------------ 0.17/0.34 % (12953)------------------------------ 0.17/0.35 % (12957)Refutation not found, incomplete strategy 0.17/0.35 % (12957)------------------------------ 0.17/0.35 % (12957)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (12957)Termination reason: Refutation not found, incomplete strategy 0.17/0.35 0.17/0.35 0.17/0.35 % (12957)Memory used [KB]: 5628 0.17/0.35 % (12957)Time elapsed: 0.007 s 0.17/0.35 % (12957)Instructions burned: 11 (million) 0.17/0.35 % (12957)------------------------------ 0.17/0.35 % (12957)------------------------------ 0.17/0.35 % (12958)Instruction limit reached! 0.17/0.35 % (12958)------------------------------ 0.17/0.35 % (12958)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (12958)Termination reason: Unknown 0.17/0.35 % (12958)Termination phase: Saturation 0.17/0.35 0.17/0.35 % (12958)Memory used [KB]: 5628 0.17/0.35 % (12958)Time elapsed: 0.010 s 0.17/0.35 % (12958)Instructions burned: 19 (million) 0.17/0.35 % (12958)------------------------------ 0.17/0.35 % (12958)------------------------------ 0.17/0.35 % (12954)Instruction limit reached! 0.17/0.35 % (12954)------------------------------ 0.17/0.35 % (12954)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (12954)Termination reason: Unknown 0.17/0.35 % (12954)Termination phase: Saturation 0.17/0.35 0.17/0.35 % (12954)Memory used [KB]: 5756 0.17/0.35 % (12954)Time elapsed: 0.014 s 0.17/0.35 % (12954)Instructions burned: 27 (million) 0.17/0.35 % (12954)------------------------------ 0.17/0.35 % (12954)------------------------------ 0.17/0.36 % (12960)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_12844 for (1799ds/37Mi) 0.17/0.36 % (12959)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_12844 for (1799ds/3Mi) 0.17/0.36 % (12961)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_12844 for (1799ds/15Mi) 0.17/0.36 % (12959)Instruction limit reached! 0.17/0.36 % (12959)------------------------------ 0.17/0.36 % (12959)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.36 % (12959)Termination reason: Unknown 0.17/0.36 % (12959)Termination phase: shuffling 0.17/0.36 0.17/0.36 % (12959)Memory used [KB]: 1151 0.17/0.36 % (12959)Time elapsed: 0.003 s 0.17/0.36 % (12959)Instructions burned: 4 (million) 0.17/0.36 % (12959)------------------------------ 0.17/0.36 % (12959)------------------------------ 0.17/0.36 % (12962)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_12844 for (1799ds/3Mi) 0.17/0.36 % (12962)Instruction limit reached! 0.17/0.36 % (12962)------------------------------ 0.17/0.36 % (12962)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.36 % (12962)Termination reason: Unknown 0.17/0.36 % (12962)Termination phase: shuffling 0.17/0.36 0.17/0.36 % (12962)Memory used [KB]: 1151 0.17/0.36 % (12962)Time elapsed: 0.004 s 0.17/0.36 % (12962)Instructions burned: 4 (million) 0.17/0.36 % (12962)------------------------------ 0.17/0.36 % (12962)------------------------------ 0.17/0.36 % (12963)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_12844 for (1799ds/1041Mi) 0.17/0.36 % (12961)Instruction limit reached! 0.17/0.36 % (12961)------------------------------ 0.17/0.36 % (12961)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.36 % (12961)Termination reason: Unknown 0.17/0.36 % (12961)Termination phase: Saturation 0.17/0.36 0.17/0.36 % (12961)Memory used [KB]: 1151 0.17/0.36 % (12961)Time elapsed: 0.009 s 0.17/0.36 % (12961)Instructions burned: 16 (million) 0.17/0.36 % (12961)------------------------------ 0.17/0.36 % (12961)------------------------------ 0.17/0.37 % (12964)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/7Mi) 0.17/0.37 % (12965)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/16Mi) 0.17/0.37 % (12964)Instruction limit reached! 0.17/0.37 % (12964)------------------------------ 0.17/0.37 % (12964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.37 % (12964)Termination reason: Unknown 0.17/0.37 % (12964)Termination phase: Property scanning 0.17/0.37 0.17/0.37 % (12964)Memory used [KB]: 1151 0.17/0.37 % (12964)Time elapsed: 0.005 s 0.17/0.37 % (12964)Instructions burned: 8 (million) 0.17/0.37 % (12964)------------------------------ 0.17/0.37 % (12964)------------------------------ 0.17/0.37 % (12960)Instruction limit reached! 0.17/0.37 % (12960)------------------------------ 0.17/0.37 % (12960)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.37 % (12960)Termination reason: Unknown 0.17/0.37 % (12960)Termination phase: Saturation 0.17/0.37 0.17/0.37 % (12960)Memory used [KB]: 5884 0.17/0.37 % (12960)Time elapsed: 0.019 s 0.17/0.37 % (12960)Instructions burned: 38 (million) 0.17/0.37 % (12960)------------------------------ 0.17/0.37 % (12960)------------------------------ 0.17/0.38 % (12966)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_12844 for (1799ds/3Mi) 0.17/0.38 % (12967)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_12844 for (1799ds/3Mi) 0.17/0.38 % (12966)Instruction limit reached! 0.17/0.38 % (12966)------------------------------ 0.17/0.38 % (12966)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (12966)Termination reason: Unknown 0.17/0.38 % (12966)Termination phase: shuffling 0.17/0.38 0.17/0.38 % (12966)Memory used [KB]: 1151 0.17/0.38 % (12966)Time elapsed: 0.004 s 0.17/0.38 % (12966)Instructions burned: 4 (million) 0.17/0.38 % (12966)------------------------------ 0.17/0.38 % (12966)------------------------------ 0.17/0.38 % (12965)Instruction limit reached! 0.17/0.38 % (12965)------------------------------ 0.17/0.38 % (12965)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (12965)Termination reason: Unknown 0.17/0.38 % (12965)Termination phase: Saturation 0.17/0.38 0.17/0.38 % (12965)Memory used [KB]: 5756 0.17/0.38 % (12965)Time elapsed: 0.010 s 0.17/0.38 % (12965)Instructions burned: 18 (million) 0.17/0.38 % (12965)------------------------------ 0.17/0.38 % (12965)------------------------------ 0.17/0.38 % (12967)Instruction limit reached! 0.17/0.38 % (12967)------------------------------ 0.17/0.38 % (12967)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (12967)Termination reason: Unknown 0.17/0.38 % (12967)Termination phase: shuffling 0.17/0.38 0.17/0.38 % (12967)Memory used [KB]: 1151 0.17/0.38 % (12967)Time elapsed: 0.003 s 0.17/0.38 % (12967)Instructions burned: 4 (million) 0.17/0.38 % (12967)------------------------------ 0.17/0.38 % (12967)------------------------------ 0.17/0.38 % (12968)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_12844 for (1799ds/7Mi) 0.17/0.39 % (12969)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_12844 for (1799ds/3Mi) 0.17/0.39 % (12969)Instruction limit reached! 0.17/0.39 % (12969)------------------------------ 0.17/0.39 % (12969)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (12969)Termination reason: Unknown 0.17/0.39 % (12969)Termination phase: shuffling 0.17/0.39 0.17/0.39 % (12969)Memory used [KB]: 1151 0.17/0.39 % (12969)Time elapsed: 0.003 s 0.17/0.39 % (12969)Instructions burned: 4 (million) 0.17/0.39 % (12969)------------------------------ 0.17/0.39 % (12969)------------------------------ 0.17/0.39 % (12968)Instruction limit reached! 0.17/0.39 % (12968)------------------------------ 0.17/0.39 % (12968)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (12968)Termination reason: Unknown 0.17/0.39 % (12968)Termination phase: Property scanning 0.17/0.39 0.17/0.39 % (12968)Memory used [KB]: 1151 0.17/0.39 % (12968)Time elapsed: 0.005 s 0.17/0.39 % (12968)Instructions burned: 7 (million) 0.17/0.39 % (12968)------------------------------ 0.17/0.39 % (12968)------------------------------ 0.17/0.39 % (12970)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/4Mi) 0.17/0.39 % (12971)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_12844 for (1799ds/18Mi) 0.17/0.39 % (12972)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/710Mi) 0.17/0.39 % (12970)Instruction limit reached! 0.17/0.39 % (12970)------------------------------ 0.17/0.39 % (12970)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (12970)Termination reason: Unknown 0.17/0.39 % (12970)Termination phase: shuffling 0.17/0.39 0.17/0.39 % (12970)Memory used [KB]: 1151 0.17/0.39 % (12970)Time elapsed: 0.004 s 0.17/0.39 % (12970)Instructions burned: 4 (million) 0.17/0.39 % (12970)------------------------------ 0.17/0.39 % (12970)------------------------------ 0.17/0.40 % (12973)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/6Mi) 0.17/0.40 % (12974)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_12844 for (1799ds/902Mi) 0.17/0.40 % (12971)Instruction limit reached! 0.17/0.40 % (12971)------------------------------ 0.17/0.40 % (12971)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.40 % (12971)Termination reason: Unknown 0.17/0.40 % (12971)Termination phase: Saturation 0.17/0.40 0.17/0.40 % (12971)Memory used [KB]: 5756 0.17/0.40 % (12971)Time elapsed: 0.011 s 0.17/0.40 % (12971)Instructions burned: 19 (million) 0.17/0.40 % (12971)------------------------------ 0.17/0.40 % (12971)------------------------------ 0.17/0.40 % (12973)Instruction limit reached! 0.17/0.40 % (12973)------------------------------ 0.17/0.40 % (12973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.40 % (12973)Termination reason: Unknown 0.17/0.40 % (12973)Termination phase: Property scanning 0.17/0.40 0.17/0.40 % (12973)Memory used [KB]: 1151 0.17/0.40 % (12973)Time elapsed: 0.004 s 0.17/0.40 % (12973)Instructions burned: 6 (million) 0.17/0.40 % (12973)------------------------------ 0.17/0.40 % (12973)------------------------------ 0.17/0.41 % (12974)Refutation not found, incomplete strategy 0.17/0.41 % (12974)------------------------------ 0.17/0.41 % (12974)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.41 % (12974)Termination reason: Refutation not found, incomplete strategy 0.17/0.41 0.17/0.41 0.17/0.41 % (12974)Memory used [KB]: 5628 0.17/0.41 % (12974)Time elapsed: 0.007 s 0.17/0.41 % (12974)Instructions burned: 11 (million) 0.17/0.41 % (12974)------------------------------ 0.17/0.41 % (12974)------------------------------ 0.17/0.41 % (12975)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_12844 for (1799ds/21Mi) 0.17/0.42 % (12977)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_12844 for (1799ds/6Mi) 0.17/0.42 % (12976)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/5Mi) 0.17/0.42 % (12975)Instruction limit reached! 0.17/0.42 % (12975)------------------------------ 0.17/0.42 % (12975)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.42 % (12975)Termination reason: Unknown 0.17/0.42 % (12975)Termination phase: Saturation 0.17/0.42 0.17/0.42 % (12975)Memory used [KB]: 5756 0.17/0.42 % (12975)Time elapsed: 0.011 s 0.17/0.42 % (12975)Instructions burned: 21 (million) 0.17/0.42 % (12975)------------------------------ 0.17/0.42 % (12975)------------------------------ 0.17/0.42 % (12976)Instruction limit reached! 0.17/0.42 % (12976)------------------------------ 0.17/0.42 % (12976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.42 % (12976)Termination reason: Unknown 0.17/0.42 % (12976)Termination phase: Property scanning 0.17/0.42 % (12977)Instruction limit reached! 0.17/0.42 % (12977)------------------------------ 0.17/0.42 % (12977)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.42 % (12977)Termination reason: Unknown 0.17/0.42 % (12977)Termination phase: SInE selection 0.17/0.42 0.17/0.42 % (12977)Memory used [KB]: 1151 0.17/0.42 % (12977)Time elapsed: 0.005 s 0.17/0.42 % (12977)Instructions burned: 8 (million) 0.17/0.42 % (12977)------------------------------ 0.17/0.42 % (12977)------------------------------ 0.17/0.42 0.17/0.42 % (12976)Memory used [KB]: 1151 0.17/0.42 % (12976)Time elapsed: 0.004 s 0.17/0.42 % (12976)Instructions burned: 6 (million) 0.17/0.42 % (12976)------------------------------ 0.17/0.42 % (12976)------------------------------ 0.17/0.42 % (12978)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/377Mi) 0.17/0.43 % (12952)Instruction limit reached! 0.17/0.43 % (12952)------------------------------ 0.17/0.43 % (12952)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.43 % (12952)Termination reason: Unknown 0.17/0.43 % (12952)Termination phase: Saturation 0.17/0.43 0.17/0.43 % (12952)Memory used [KB]: 7036 0.17/0.43 % (12952)Time elapsed: 0.092 s 0.17/0.43 % (12952)Instructions burned: 183 (million) 0.17/0.43 % (12952)------------------------------ 0.17/0.43 % (12952)------------------------------ 0.17/0.43 % (12979)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_12844 for (1799ds/779Mi) 0.17/0.43 % (12980)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_12844 for (1799ds/19Mi) 0.17/0.43 % (12981)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_12844 for (1799ds/879Mi) 0.17/0.44 % (12980)Refutation not found, incomplete strategy 0.17/0.44 % (12980)------------------------------ 0.17/0.44 % (12980)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.44 % (12980)Termination reason: Refutation not found, incomplete strategy 0.17/0.44 0.17/0.44 0.17/0.44 % (12980)Memory used [KB]: 5628 0.17/0.44 % (12980)Time elapsed: 0.007 s 0.17/0.44 % (12980)Instructions burned: 12 (million) 0.17/0.44 % (12980)------------------------------ 0.17/0.44 % (12980)------------------------------ 0.17/0.45 % (12982)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_12844 for (1799ds/17Mi) 0.17/0.45 % (12983)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_12844 for (1798ds/3Mi) 0.17/0.45 % (12982)Instruction limit reached! 0.17/0.45 % (12982)------------------------------ 0.17/0.45 % (12982)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.45 % (12982)Termination reason: Unknown 0.17/0.45 % (12982)Termination phase: Saturation 0.17/0.45 0.17/0.45 % (12982)Memory used [KB]: 5628 0.17/0.45 % (12982)Time elapsed: 0.010 s 0.17/0.45 % (12982)Instructions burned: 18 (million) 0.17/0.45 % (12982)------------------------------ 0.17/0.45 % (12982)------------------------------ 0.17/0.45 % (12983)Instruction limit reached! 0.17/0.45 % (12983)------------------------------ 0.17/0.45 % (12983)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.45 % (12983)Termination reason: Unknown 0.17/0.45 % (12983)Termination phase: shuffling 0.17/0.45 0.17/0.45 % (12983)Memory used [KB]: 1151 0.17/0.45 % (12983)Time elapsed: 0.003 s 0.17/0.45 % (12983)Instructions burned: 4 (million) 0.17/0.45 % (12983)------------------------------ 0.17/0.45 % (12983)------------------------------ 0.17/0.46 % (12963)First to succeed. 0.17/0.47 % (12963)Refutation found. Thanks to Tanya! 0.17/0.47 % SZS status Theorem for E---3.1_12844 0.17/0.47 % SZS output start Proof for E---3.1_12844 0.17/0.47 thf(type_def_5, type, mu: $tType). 0.17/0.47 thf(type_def_7, type, reg: $tType). 0.17/0.47 thf(func_def_0, type, mu: $tType). 0.17/0.47 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 0.17/0.47 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.17/0.47 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.17/0.47 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.17/0.47 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.17/0.47 thf(func_def_15, type, mtrue: $i > $o). 0.17/0.47 thf(func_def_16, type, mfalse: $i > $o). 0.17/0.47 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.47 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 0.17/0.47 thf(func_def_29, type, mvalid: ($i > $o) > $o). 0.17/0.47 thf(func_def_30, type, minvalid: ($i > $o) > $o). 0.17/0.47 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 0.17/0.47 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 0.17/0.47 thf(func_def_33, type, reg: $tType). 0.17/0.47 thf(func_def_34, type, c: reg > reg > $o). 0.17/0.47 thf(func_def_35, type, dc: reg > reg > $o). 0.17/0.47 thf(func_def_36, type, p: reg > reg > $o). 0.17/0.47 thf(func_def_37, type, eq: reg > reg > $o). 0.17/0.47 thf(func_def_38, type, o: reg > reg > $o). 0.17/0.47 thf(func_def_39, type, po: reg > reg > $o). 0.17/0.47 thf(func_def_40, type, ec: reg > reg > $o). 0.17/0.47 thf(func_def_41, type, pp: reg > reg > $o). 0.17/0.47 thf(func_def_42, type, tpp: reg > reg > $o). 0.17/0.47 thf(func_def_43, type, ntpp: reg > reg > $o). 0.17/0.47 thf(func_def_44, type, catalunya: reg). 0.17/0.47 thf(func_def_45, type, france: reg). 0.17/0.47 thf(func_def_46, type, spain: reg). 0.17/0.47 thf(func_def_47, type, paris: reg). 0.17/0.47 thf(func_def_48, type, a: $i > $i > $o). 0.17/0.47 thf(func_def_49, type, fool: $i > $i > $o). 0.17/0.47 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)). 0.17/0.47 thf(func_def_67, type, sK2: $i > $i > $i). 0.17/0.47 thf(func_def_71, type, sK6: reg). 0.17/0.47 thf(func_def_72, type, sK7: reg). 0.17/0.47 thf(func_def_73, type, sK8: reg). 0.17/0.47 thf(func_def_74, type, sK9: reg). 0.17/0.47 thf(func_def_75, type, sK10: reg). 0.17/0.47 thf(func_def_76, type, sK11: reg). 0.17/0.47 thf(func_def_77, type, sK12: reg). 0.17/0.47 thf(func_def_78, type, sK13: reg). 0.17/0.47 thf(func_def_79, type, sK14: reg). 0.17/0.47 thf(f1436,plain,( 0.17/0.47 $false), 0.17/0.47 inference(avatar_sat_refutation,[],[f264,f299,f372,f473,f1435])). 0.17/0.47 thf(f1435,plain,( 0.17/0.47 ~spl0_1 | ~spl0_4 | ~spl0_5), 0.17/0.47 inference(avatar_contradiction_clause,[],[f1434])). 0.17/0.47 thf(f1434,plain,( 0.17/0.47 $false | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(trivial_inequality_removal,[],[f1433])). 0.17/0.47 thf(f1433,plain,( 0.17/0.47 ($false = $true) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(backward_demodulation,[],[f761,f1422])). 0.17/0.47 thf(f1422,plain,( 0.17/0.47 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ france))))) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(boolean_simplification,[],[f1416])). 0.17/0.47 thf(f1416,plain,( 0.17/0.47 ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ france)))) & $true)) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(superposition,[],[f1392,f764])). 0.17/0.47 thf(f764,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ paris)))) = $true) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(boolean_simplification,[],[f763])). 0.17/0.47 thf(f763,plain,( 0.17/0.47 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ paris)))) & $true)) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(backward_demodulation,[],[f743,f761])). 0.17/0.47 thf(f743,plain,( 0.17/0.47 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ france))))) = $true) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(beta_eta_normalization,[],[f741])). 0.17/0.47 thf(f741,plain,( 0.17/0.47 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ sK9) = $true) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(sigma_clausification,[],[f725])). 0.17/0.47 thf(f725,plain,( 0.17/0.47 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $true) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(not_proxy_clausification,[],[f655])). 0.17/0.47 thf(f655,plain,( 0.17/0.47 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(boolean_simplification,[],[f654])). 0.17/0.47 thf(f654,plain,( 0.17/0.47 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & $true)) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(backward_demodulation,[],[f577,f644])). 0.17/0.47 thf(f644,plain,( 0.17/0.47 ((c @ france @ paris) = $true) | ~spl0_5), 0.17/0.47 inference(boolean_simplification,[],[f640])). 0.17/0.47 thf(f640,plain,( 0.17/0.47 (($true => (c @ france @ paris)) = $true) | ~spl0_5), 0.17/0.47 inference(superposition,[],[f232,f629])). 0.17/0.47 thf(f629,plain,( 0.17/0.47 ((c @ paris @ france) = $true) | ~spl0_5), 0.17/0.47 inference(boolean_simplification,[],[f626])). 0.17/0.47 thf(f626,plain,( 0.17/0.47 (($true => (c @ paris @ france)) = $true) | ~spl0_5), 0.17/0.47 inference(superposition,[],[f605,f228])). 0.17/0.47 thf(f228,plain,( 0.17/0.47 ( ! [X1 : reg] : (((c @ X1 @ X1) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f227])). 0.17/0.47 thf(f227,plain,( 0.17/0.47 ( ! [X1 : reg] : ((((^[Y0 : reg]: (c @ Y0 @ Y0)) @ X1) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f165])). 0.17/0.47 thf(f165,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: (c @ Y0 @ Y0))) = $true)), 0.17/0.47 inference(cnf_transformation,[],[f125])). 0.17/0.47 thf(f125,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: (c @ Y0 @ Y0))) = $true)), 0.17/0.47 inference(fool_elimination,[],[f124])). 0.17/0.47 thf(f124,plain,( 0.17/0.47 ! [X0 : reg] : (c @ X0 @ X0)), 0.17/0.47 inference(rectify,[],[f42])). 0.17/0.47 thf(f42,axiom,( 0.17/0.47 ! [X0 : reg] : (c @ X0 @ X0)), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',c_reflexive)). 0.17/0.47 thf(f605,plain,( 0.17/0.47 ( ! [X1 : reg] : (($true = ((c @ X1 @ paris) => (c @ X1 @ france)))) ) | ~spl0_5), 0.17/0.47 inference(beta_eta_normalization,[],[f600])). 0.17/0.47 thf(f600,plain,( 0.17/0.47 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_5), 0.17/0.47 inference(pi_clausification,[],[f591])). 0.17/0.47 thf(f591,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true) | ~spl0_5), 0.17/0.47 inference(boolean_simplification,[],[f590])). 0.17/0.47 thf(f590,plain,( 0.17/0.47 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & $true) = $true) | ~spl0_5), 0.17/0.47 inference(backward_demodulation,[],[f482,f588])). 0.17/0.47 thf(f588,plain,( 0.17/0.47 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) = $true) | ~spl0_5), 0.17/0.47 inference(binary_proxy_clausification,[],[f482])). 0.17/0.47 thf(f482,plain,( 0.17/0.47 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true) | ~spl0_5), 0.17/0.47 inference(binary_proxy_clausification,[],[f470])). 0.17/0.47 thf(f470,plain,( 0.17/0.47 (((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) = $true) | ~spl0_5), 0.17/0.47 inference(avatar_component_clause,[],[f469])). 0.17/0.47 thf(f469,plain,( 0.17/0.47 spl0_5 <=> (((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) = $true)), 0.17/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.17/0.47 thf(f232,plain,( 0.17/0.47 ( ! [X2 : reg,X1 : reg] : ((((c @ X2 @ X1) => (c @ X1 @ X2)) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f231])). 0.17/0.47 thf(f231,plain,( 0.17/0.47 ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0))) @ X2) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f230])). 0.17/0.47 thf(f230,plain,( 0.17/0.47 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0)))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f229])). 0.17/0.47 thf(f229,plain,( 0.17/0.47 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1))))) @ X1) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f163])). 0.17/0.47 thf(f163,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))) = $true)), 0.17/0.47 inference(cnf_transformation,[],[f81])). 0.17/0.47 thf(f81,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))) = $true)), 0.17/0.47 inference(fool_elimination,[],[f80])). 0.17/0.47 thf(f80,plain,( 0.17/0.47 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 0.17/0.47 inference(rectify,[],[f41])). 0.17/0.47 thf(f41,axiom,( 0.17/0.47 ! 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@ reg @ (^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: (((?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))) & (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (~ ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))))) = $true)), 0.17/0.47 inference(beta_eta_normalization,[],[f212])). 0.17/0.47 thf(f212,plain,( 0.17/0.47 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y2 @ france) & ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y2 @ france)) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))) = $true)), 0.17/0.47 inference(definition_unfolding,[],[f153,f175,f147,f206,f206,f205])). 0.17/0.47 thf(f205,plain,( 0.17/0.47 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))), 0.17/0.47 inference(definition_unfolding,[],[f160,f190,f190])). 0.17/0.47 thf(f190,plain,( 0.17/0.47 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 0.17/0.47 inference(cnf_transformation,[],[f108])). 0.17/0.47 thf(f108,plain,( 0.17/0.47 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 0.17/0.47 inference(fool_elimination,[],[f107])). 0.17/0.47 thf(f107,plain,( 0.17/0.47 ((^[X0 : reg, X1 : reg] : (! 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[X1 : reg] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ X1))) ) | ~spl0_5), 0.17/0.47 inference(pi_clausification,[],[f612])). 0.17/0.47 thf(f612,plain,( 0.17/0.47 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) | ~spl0_5), 0.17/0.47 inference(boolean_simplification,[],[f611])). 0.17/0.47 thf(f611,plain,( 0.17/0.47 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) & $true)) | ~spl0_5), 0.17/0.47 inference(forward_demodulation,[],[f606,f588])). 0.17/0.47 thf(f606,plain,( 0.17/0.47 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ~spl0_5), 0.17/0.47 inference(boolean_simplification,[],[f602])). 0.17/0.47 thf(f602,plain,( 0.17/0.47 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) & (~ ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))) & $true)))) | ~spl0_5), 0.17/0.47 inference(superposition,[],[f349,f591])). 0.17/0.47 thf(f761,plain,( 0.17/0.47 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ france)))) = $true) | (~spl0_1 | ~spl0_4 | ~spl0_5)), 0.17/0.47 inference(binary_proxy_clausification,[],[f743])). 0.17/0.47 thf(f473,plain,( 0.17/0.47 spl0_5), 0.17/0.47 inference(avatar_split_clause,[],[f465,f469])). 0.17/0.47 thf(f465,plain,( 0.17/0.47 (((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) = $true)), 0.17/0.47 inference(boolean_simplification,[],[f464])). 0.17/0.47 thf(f464,plain,( 0.17/0.47 (($false | ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)), 0.17/0.47 inference(boolean_simplification,[],[f462])). 0.17/0.47 thf(f462,plain,( 0.17/0.47 (((~ $true) | ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)), 0.17/0.47 inference(superposition,[],[f447,f333])). 0.17/0.47 thf(f333,plain,( 0.17/0.47 ((a @ sK3 @ sK4) = $true)), 0.17/0.47 inference(not_proxy_clausification,[],[f328])). 0.17/0.47 thf(f447,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f446])). 0.17/0.47 thf(f446,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))))) @ X2) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f439])). 0.17/0.47 thf(f439,plain,( 0.17/0.47 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f438])). 0.17/0.47 thf(f438,plain,( 0.17/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))))))) @ X1) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f226])). 0.17/0.47 thf(f226,plain,( 0.17/0.47 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))))))))) = $true)), 0.17/0.47 inference(beta_eta_normalization,[],[f217])). 0.17/0.47 thf(f217,plain,( 0.17/0.47 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)), 0.17/0.47 inference(definition_unfolding,[],[f183,f175,f147,f211])). 0.17/0.47 thf(f211,plain,( 0.17/0.47 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))), 0.17/0.47 inference(definition_unfolding,[],[f164,f208,f208,f209])). 0.17/0.47 thf(f209,plain,( 0.17/0.47 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))), 0.17/0.47 inference(definition_unfolding,[],[f155,f190,f190])). 0.17/0.47 thf(f155,plain,( 0.17/0.47 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))), 0.17/0.47 inference(cnf_transformation,[],[f142])). 0.17/0.47 thf(f142,plain,( 0.17/0.47 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))), 0.17/0.47 inference(fool_elimination,[],[f141])). 0.17/0.47 thf(f141,plain,( 0.17/0.47 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))), 0.17/0.47 inference(rectify,[],[f38])). 0.17/0.47 thf(f38,axiom,( 0.17/0.47 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',pp)). 0.17/0.47 thf(f208,plain,( 0.17/0.47 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 0.17/0.47 inference(definition_unfolding,[],[f177,f206])). 0.17/0.47 thf(f177,plain,( 0.17/0.47 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 0.17/0.47 inference(cnf_transformation,[],[f59])). 0.17/0.47 thf(f59,plain,( 0.17/0.47 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 0.17/0.47 inference(fool_elimination,[],[f58])). 0.17/0.47 thf(f58,plain,( 0.17/0.47 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))), 0.17/0.47 inference(rectify,[],[f37])). 0.17/0.47 thf(f37,axiom,( 0.17/0.47 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',ec)). 0.17/0.47 thf(f164,plain,( 0.17/0.47 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))), 0.17/0.47 inference(cnf_transformation,[],[f61])). 0.17/0.47 thf(f61,plain,( 0.17/0.47 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))), 0.17/0.47 inference(fool_elimination,[],[f60])). 0.17/0.47 thf(f60,plain,( 0.17/0.47 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))) = ntpp)), 0.17/0.47 inference(rectify,[],[f40])). 0.17/0.47 thf(f40,axiom,( 0.17/0.47 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))) = ntpp)), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',ntpp)). 0.17/0.47 thf(f183,plain,( 0.17/0.47 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 0.17/0.47 inference(cnf_transformation,[],[f83])). 0.17/0.47 thf(f83,plain,( 0.17/0.47 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 0.17/0.47 inference(fool_elimination,[],[f82])). 0.17/0.47 thf(f82,plain,( 0.17/0.47 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 0.17/0.47 inference(rectify,[],[f44])). 0.17/0.47 thf(f44,axiom,( 0.17/0.47 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',ax3)). 0.17/0.47 thf(f372,plain,( 0.17/0.47 spl0_4), 0.17/0.47 inference(avatar_split_clause,[],[f361,f368])). 0.17/0.47 thf(f361,plain,( 0.17/0.47 (((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true)), 0.17/0.47 inference(boolean_simplification,[],[f360])). 0.17/0.47 thf(f360,plain,( 0.17/0.47 (($false | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)), 0.17/0.47 inference(boolean_simplification,[],[f359])). 0.17/0.47 thf(f359,plain,( 0.17/0.47 (((~ $true) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)), 0.17/0.47 inference(superposition,[],[f356,f340])). 0.17/0.47 thf(f340,plain,( 0.17/0.47 ((a @ sK3 @ sK5) = $true)), 0.17/0.47 inference(not_proxy_clausification,[],[f337])). 0.17/0.47 thf(f337,plain,( 0.17/0.47 ((~ (a @ sK3 @ sK5)) = $false)), 0.17/0.47 inference(beta_eta_normalization,[],[f336])). 0.17/0.47 thf(f336,plain,( 0.17/0.47 (((^[Y0 : $i]: (~ (a @ sK3 @ Y0))) @ sK5) = $false)), 0.17/0.47 inference(sigma_clausification,[],[f332])). 0.17/0.47 thf(f332,plain,( 0.17/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: (~ (a @ sK3 @ Y0)))))), 0.17/0.47 inference(boolean_simplification,[],[f331])). 0.17/0.47 thf(f331,plain,( 0.17/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK3 @ Y0)) | $false))))), 0.17/0.47 inference(backward_demodulation,[],[f319,f330])). 0.17/0.47 thf(f356,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f355])). 0.17/0.47 thf(f355,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))))) @ X2) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f354])). 0.17/0.47 thf(f354,plain,( 0.17/0.47 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f353])). 0.17/0.47 thf(f353,plain,( 0.17/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))))))) @ X1) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f225])). 0.17/0.47 thf(f225,plain,( 0.17/0.47 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))))))))) = $true)), 0.17/0.47 inference(beta_eta_normalization,[],[f215])). 0.17/0.47 thf(f215,plain,( 0.17/0.47 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)), 0.17/0.47 inference(definition_unfolding,[],[f174,f175,f147,f210])). 0.17/0.47 thf(f210,plain,( 0.17/0.47 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))), 0.17/0.47 inference(definition_unfolding,[],[f187,f208,f208,f209])). 0.17/0.47 thf(f187,plain,( 0.17/0.47 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))), 0.17/0.47 inference(cnf_transformation,[],[f121])). 0.17/0.47 thf(f121,plain,( 0.17/0.47 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))), 0.17/0.47 inference(fool_elimination,[],[f120])). 0.17/0.47 thf(f120,plain,( 0.17/0.47 (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))))), 0.17/0.47 inference(rectify,[],[f39])). 0.17/0.47 thf(f39,axiom,( 0.17/0.47 (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',tpp)). 0.17/0.47 thf(f174,plain,( 0.17/0.47 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 0.17/0.47 inference(cnf_transformation,[],[f133])). 0.17/0.47 thf(f133,plain,( 0.17/0.47 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 0.17/0.47 inference(fool_elimination,[],[f132])). 0.17/0.47 thf(f132,plain,( 0.17/0.47 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 0.17/0.47 inference(rectify,[],[f48])). 0.17/0.47 thf(f48,axiom,( 0.17/0.47 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',ax1)). 0.17/0.47 thf(f299,plain,( 0.17/0.47 ~spl0_2), 0.17/0.47 inference(avatar_contradiction_clause,[],[f298])). 0.17/0.47 thf(f298,plain,( 0.17/0.47 $false | ~spl0_2), 0.17/0.47 inference(trivial_inequality_removal,[],[f297])). 0.17/0.47 thf(f297,plain,( 0.17/0.47 ($false = $true) | ~spl0_2), 0.17/0.47 inference(boolean_simplification,[],[f296])). 0.17/0.47 thf(f296,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : (($false = ($true | (fool @ X0 @ (sK2 @ X1 @ X0))))) ) | ~spl0_2), 0.17/0.47 inference(boolean_simplification,[],[f295])). 0.17/0.47 thf(f295,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : (($false = ((~ $false) | (fool @ X0 @ (sK2 @ X1 @ X0))))) ) | ~spl0_2), 0.17/0.47 inference(forward_demodulation,[],[f292,f267])). 0.17/0.47 thf(f267,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (fool @ X1 @ X2))) ) | ~spl0_2), 0.17/0.47 inference(not_proxy_clausification,[],[f263])). 0.17/0.47 thf(f263,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true)) ) | ~spl0_2), 0.17/0.47 inference(avatar_component_clause,[],[f262])). 0.17/0.47 thf(f262,plain,( 0.17/0.47 spl0_2 <=> ! [X2,X1] : ((~ (fool @ X1 @ X2)) = $true)), 0.17/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.17/0.47 thf(f292,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : (($false = ((~ (fool @ X1 @ (sK2 @ X1 @ X0))) | (fool @ X0 @ (sK2 @ X1 @ X0))))) ) | ~spl0_2), 0.17/0.47 inference(beta_eta_normalization,[],[f284])). 0.17/0.47 thf(f284,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0))) @ (sK2 @ X1 @ X0)))) ) | ~spl0_2), 0.17/0.47 inference(sigma_clausification,[],[f272])). 0.17/0.47 thf(f272,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0)))))) ) | ~spl0_2), 0.17/0.47 inference(not_proxy_clausification,[],[f271])). 0.17/0.47 thf(f271,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0))))) = $true)) ) | ~spl0_2), 0.17/0.47 inference(boolean_simplification,[],[f270])). 0.17/0.47 thf(f270,plain,( 0.17/0.47 ( ! [X0 : $i,X1 : $i] : ((($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0)))))) = $true)) ) | ~spl0_2), 0.17/0.47 inference(superposition,[],[f241,f267])). 0.17/0.47 thf(f241,plain,( 0.17/0.47 ( ! [X2 : $i > $o,X1 : $i] : ((((X2 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f240])). 0.17/0.47 thf(f240,plain,( 0.17/0.47 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f239])). 0.17/0.47 thf(f239,plain,( 0.17/0.47 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1)))))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f238])). 0.17/0.47 thf(f238,plain,( 0.17/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f221])). 0.17/0.47 thf(f221,plain,( 0.17/0.47 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)), 0.17/0.47 inference(beta_eta_normalization,[],[f218])). 0.17/0.47 thf(f218,plain,( 0.17/0.47 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ Y0)))) = $true)), 0.17/0.47 inference(definition_unfolding,[],[f194,f175,f172,f197,f147])). 0.17/0.47 thf(f197,plain,( 0.17/0.47 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 0.17/0.47 inference(definition_unfolding,[],[f148,f149,f150])). 0.17/0.47 thf(f150,plain,( 0.17/0.47 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.17/0.47 inference(cnf_transformation,[],[f115])). 0.17/0.47 thf(f115,plain,( 0.17/0.47 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.17/0.47 inference(fool_elimination,[],[f114])). 0.17/0.47 thf(f114,plain,( 0.17/0.47 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 0.17/0.47 inference(rectify,[],[f3])). 0.17/0.47 thf(f3,axiom,( 0.17/0.47 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',mnot)). 0.17/0.47 thf(f149,plain,( 0.17/0.47 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 0.17/0.47 inference(cnf_transformation,[],[f75])). 0.17/0.47 thf(f75,plain,( 0.17/0.47 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 0.17/0.47 inference(fool_elimination,[],[f74])). 0.17/0.47 thf(f74,plain,( 0.17/0.47 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))), 0.17/0.47 inference(rectify,[],[f4])). 0.17/0.47 thf(f4,axiom,( 0.17/0.47 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',mor)). 0.17/0.47 thf(f148,plain,( 0.17/0.47 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.17/0.47 inference(cnf_transformation,[],[f92])). 0.17/0.47 thf(f92,plain,( 0.17/0.47 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.17/0.47 inference(fool_elimination,[],[f91])). 0.17/0.47 thf(f91,plain,( 0.17/0.47 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))), 0.17/0.47 inference(rectify,[],[f6])). 0.17/0.47 thf(f6,axiom,( 0.17/0.47 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',mimplies)). 0.17/0.47 thf(f172,plain,( 0.17/0.47 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 0.17/0.47 inference(cnf_transformation,[],[f117])). 0.17/0.47 thf(f117,plain,( 0.17/0.47 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 0.17/0.47 inference(fool_elimination,[],[f116])). 0.17/0.47 thf(f116,plain,( 0.17/0.47 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))), 0.17/0.47 inference(rectify,[],[f11])). 0.17/0.47 thf(f11,axiom,( 0.17/0.47 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',mforall_prop)). 0.17/0.47 thf(f194,plain,( 0.17/0.47 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))) = $true)), 0.17/0.47 inference(cnf_transformation,[],[f146])). 0.17/0.47 thf(f146,plain,( 0.17/0.47 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))) = $true)), 0.17/0.47 inference(fool_elimination,[],[f145])). 0.17/0.47 thf(f145,plain,( 0.17/0.47 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ X0))))), 0.17/0.47 inference(rectify,[],[f50])). 0.17/0.47 thf(f50,axiom,( 0.17/0.47 (mvalid @ (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ fool @ X12) @ X12))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',t_axiom_for_fool)). 0.17/0.47 thf(f264,plain,( 0.17/0.47 spl0_1 | spl0_2), 0.17/0.47 inference(avatar_split_clause,[],[f257,f262,f259])). 0.17/0.47 thf(f257,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) & (c @ spain @ france)) = $true) | ((~ (fool @ X1 @ X2)) = $true)) )), 0.17/0.47 inference(binary_proxy_clausification,[],[f256])). 0.17/0.47 thf(f256,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) & (c @ spain @ france))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f255])). 0.17/0.47 thf(f255,plain,( 0.17/0.47 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ spain @ france)))) @ X2) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f254])). 0.17/0.47 thf(f254,plain,( 0.17/0.47 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ spain @ france))))) = $true)) )), 0.17/0.47 inference(beta_eta_normalization,[],[f253])). 0.17/0.47 thf(f253,plain,( 0.17/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ spain @ france)))))) @ X1) = $true)) )), 0.17/0.47 inference(pi_clausification,[],[f222])). 0.17/0.47 thf(f222,plain,( 0.17/0.47 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ spain @ france))))))) = $true)), 0.17/0.47 inference(beta_eta_normalization,[],[f216])). 0.17/0.47 thf(f216,plain,( 0.17/0.47 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))) = $true)), 0.17/0.47 inference(definition_unfolding,[],[f178,f175,f147,f208])). 0.17/0.47 thf(f178,plain,( 0.17/0.47 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)), 0.17/0.47 inference(cnf_transformation,[],[f131])). 0.17/0.47 thf(f131,plain,( 0.17/0.47 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)), 0.17/0.47 inference(fool_elimination,[],[f130])). 0.17/0.47 thf(f130,plain,( 0.17/0.47 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))), 0.17/0.47 inference(rectify,[],[f43])). 0.17/0.47 thf(f43,axiom,( 0.17/0.47 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))), 0.17/0.47 file('/export/starexec/sandbox/tmp/tmp.ouRKdZ4UYl/E---3.1_12844.p',ax2)). 0.17/0.47 % SZS output end Proof for E---3.1_12844 0.17/0.47 % (12963)------------------------------ 0.17/0.47 % (12963)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.47 % (12963)Termination reason: Refutation 0.17/0.47 0.17/0.47 % (12963)Memory used [KB]: 6780 0.17/0.47 % (12963)Time elapsed: 0.103 s 0.17/0.47 % (12963)Instructions burned: 179 (million) 0.17/0.47 % (12963)------------------------------ 0.17/0.47 % (12963)------------------------------ 0.17/0.47 % (12951)Success in time 0.127 s 0.17/0.47 EOF