0.14/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.14 % Command : run_vampire %s %d THM 0.14/0.36 % Computer : n004.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Thu Jul 4 05:00:54 EDT 2024 0.21/0.36 % CPUTime : 0.21/0.38 This is a THF_ problem 0.21/0.38 Running higher-order theorem proving 0.25/0.44 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.gQzTR4qWoB/E---3.1_4850.p -m 16384 -t 180 0.30/0.48 % (4966)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/18Mi) 0.30/0.49 % (4966)Instruction limit reached! 0.30/0.49 % (4966)------------------------------ 0.30/0.49 % (4966)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.49 % (4966)Termination reason: Unknown 0.30/0.49 % (4966)Termination phase: shuffling 0.30/0.49 0.30/0.49 % (4966)Memory used [KB]: 1918 0.30/0.49 % (4966)Time elapsed: 0.010 s 0.30/0.49 % (4966)Instructions burned: 19 (million) 0.30/0.49 % (4966)------------------------------ 0.30/0.49 % (4966)------------------------------ 0.30/0.49 % (4962)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_4850 for (1799ds/27Mi) 0.30/0.49 % (4961)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_4850 for (1799ds/4Mi) 0.30/0.49 % (4961)Instruction limit reached! 0.30/0.49 % (4961)------------------------------ 0.30/0.49 % (4961)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.49 % (4961)Termination reason: Unknown 0.30/0.49 % (4961)Termination phase: shuffling 0.30/0.49 0.30/0.49 % (4961)Memory used [KB]: 1535 0.30/0.49 % (4961)Time elapsed: 0.004 s 0.30/0.49 % (4961)Instructions burned: 4 (million) 0.30/0.50 % (4961)------------------------------ 0.30/0.50 % (4961)------------------------------ 0.30/0.50 % (4960)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/183Mi) 0.30/0.50 % (4963)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/2Mi) 0.30/0.50 % (4965)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_4850 for (1799ds/275Mi) 0.30/0.50 % (4962)Instruction limit reached! 0.30/0.50 % (4962)------------------------------ 0.30/0.50 % (4962)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.50 % (4962)Termination reason: Unknown 0.30/0.50 % (4962)Termination phase: shuffling 0.30/0.50 0.30/0.50 % (4962)Memory used [KB]: 1918 0.30/0.50 % (4962)Time elapsed: 0.010 s 0.30/0.50 % (4962)Instructions burned: 27 (million) 0.30/0.50 % (4962)------------------------------ 0.30/0.50 % (4962)------------------------------ 0.30/0.50 % (4963)Instruction limit reached! 0.30/0.50 % (4963)------------------------------ 0.30/0.50 % (4963)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.50 % (4963)Termination reason: Unknown 0.30/0.50 % (4963)Termination phase: shuffling 0.30/0.50 0.30/0.50 % (4963)Memory used [KB]: 1535 0.30/0.50 % (4963)Time elapsed: 0.004 s 0.30/0.50 % (4963)Instructions burned: 3 (million) 0.30/0.50 % (4963)------------------------------ 0.30/0.50 % (4963)------------------------------ 0.30/0.50 % (4967)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_4850 for (1799ds/3Mi) 0.30/0.50 % (4964)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_4850 for (1799ds/2Mi) 0.30/0.50 % (4967)Instruction limit reached! 0.30/0.50 % (4967)------------------------------ 0.30/0.50 % (4967)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.50 % (4967)Termination reason: Unknown 0.30/0.50 % (4967)Termination phase: shuffling 0.30/0.50 0.30/0.50 % (4967)Memory used [KB]: 1535 0.30/0.50 % (4967)Time elapsed: 0.003 s 0.30/0.50 % (4967)Instructions burned: 4 (million) 0.30/0.50 % (4967)------------------------------ 0.30/0.50 % (4967)------------------------------ 0.30/0.50 % (4964)Instruction limit reached! 0.30/0.50 % (4964)------------------------------ 0.30/0.50 % (4964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.50 % (4964)Termination reason: Unknown 0.30/0.50 % (4964)Termination phase: shuffling 0.30/0.50 0.30/0.50 % (4964)Memory used [KB]: 1535 0.30/0.50 % (4964)Time elapsed: 0.003 s 0.30/0.50 % (4964)Instructions burned: 3 (million) 0.30/0.50 % (4964)------------------------------ 0.30/0.50 % (4964)------------------------------ 0.30/0.51 % (4969)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_4850 for (1799ds/15Mi) 0.30/0.51 % (4971)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_4850 for (1799ds/3Mi) 0.30/0.51 % (4971)Instruction limit reached! 0.30/0.51 % (4971)------------------------------ 0.30/0.51 % (4971)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.51 % (4971)Termination reason: Unknown 0.30/0.51 % (4971)Termination phase: shuffling 0.30/0.51 0.30/0.51 % (4971)Memory used [KB]: 1535 0.30/0.51 % (4971)Time elapsed: 0.003 s 0.30/0.51 % (4971)Instructions burned: 3 (million) 0.30/0.51 % (4971)------------------------------ 0.30/0.51 % (4971)------------------------------ 0.30/0.51 % (4973)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/7Mi) 0.30/0.51 % (4969)Instruction limit reached! 0.30/0.51 % (4969)------------------------------ 0.30/0.51 % (4969)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.51 % (4969)Termination reason: Unknown 0.30/0.51 % (4969)Termination phase: shuffling 0.30/0.51 0.30/0.51 % (4969)Memory used [KB]: 1791 0.30/0.51 % (4969)Time elapsed: 0.007 s 0.30/0.51 % (4969)Instructions burned: 15 (million) 0.30/0.51 % (4969)------------------------------ 0.30/0.51 % (4969)------------------------------ 0.30/0.51 % (4968)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_4850 for (1799ds/37Mi) 0.30/0.52 % (4973)Instruction limit reached! 0.30/0.52 % (4973)------------------------------ 0.30/0.52 % (4973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.52 % (4973)Termination reason: Unknown 0.30/0.52 % (4973)Termination phase: shuffling 0.30/0.52 0.30/0.52 % (4973)Memory used [KB]: 1663 0.30/0.52 % (4973)Time elapsed: 0.005 s 0.30/0.52 % (4973)Instructions burned: 7 (million) 0.30/0.52 % (4973)------------------------------ 0.30/0.52 % (4973)------------------------------ 0.30/0.52 % (4975)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_4850 for (1799ds/3Mi) 0.30/0.52 % (4975)Instruction limit reached! 0.30/0.52 % (4975)------------------------------ 0.30/0.52 % (4975)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.52 % (4975)Termination reason: Unknown 0.30/0.52 % (4975)Termination phase: shuffling 0.30/0.52 0.30/0.52 % (4975)Memory used [KB]: 1535 0.30/0.52 % (4975)Time elapsed: 0.003 s 0.30/0.52 % (4975)Instructions burned: 5 (million) 0.30/0.52 % (4975)------------------------------ 0.30/0.52 % (4975)------------------------------ 0.30/0.52 % (4972)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_4850 for (1799ds/1041Mi) 0.30/0.53 % (4974)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/16Mi) 0.30/0.53 % (4968)Instruction limit reached! 0.30/0.53 % (4968)------------------------------ 0.30/0.53 % (4968)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.53 % (4968)Termination reason: Unknown 0.30/0.53 % (4968)Termination phase: shuffling 0.30/0.53 0.30/0.53 % (4968)Memory used [KB]: 2302 0.30/0.53 % (4968)Time elapsed: 0.022 s 0.30/0.53 % (4968)Instructions burned: 38 (million) 0.30/0.53 % (4968)------------------------------ 0.30/0.53 % (4968)------------------------------ 0.30/0.54 % (4974)Instruction limit reached! 0.30/0.54 % (4974)------------------------------ 0.30/0.54 % (4974)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.30/0.54 % (4974)Termination reason: Unknown 0.30/0.54 % (4974)Termination phase: shuffling 0.30/0.54 0.30/0.54 % (4974)Memory used [KB]: 1791 0.30/0.54 % (4974)Time elapsed: 0.009 s 0.30/0.54 % (4974)Instructions burned: 18 (million) 0.30/0.54 % (4974)------------------------------ 0.30/0.54 % (4974)------------------------------ 0.30/0.55 % (4976)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_4850 for (1799ds/3Mi) 0.64/0.55 % (4976)Instruction limit reached! 0.64/0.55 % (4976)------------------------------ 0.64/0.55 % (4976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.64/0.55 % (4978)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_4850 for (1799ds/3Mi) 0.64/0.55 % (4976)Termination reason: Unknown 0.64/0.55 % (4976)Termination phase: shuffling 0.64/0.55 0.64/0.55 % (4976)Memory used [KB]: 1535 0.64/0.55 % (4976)Time elapsed: 0.004 s 0.64/0.55 % (4976)Instructions burned: 5 (million) 0.64/0.55 % (4976)------------------------------ 0.64/0.55 % (4976)------------------------------ 0.64/0.55 % (4977)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_4850 for (1799ds/7Mi) 0.64/0.55 % (4978)Instruction limit reached! 0.64/0.55 % (4978)------------------------------ 0.64/0.55 % (4978)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.64/0.55 % (4978)Termination reason: Unknown 0.64/0.55 % (4978)Termination phase: shuffling 0.64/0.55 0.64/0.55 % (4978)Memory used [KB]: 1535 0.64/0.55 % (4978)Time elapsed: 0.004 s 0.64/0.55 % (4978)Instructions burned: 3 (million) 0.64/0.55 % (4978)------------------------------ 0.64/0.55 % (4978)------------------------------ 0.64/0.55 % (4977)Instruction limit reached! 0.64/0.55 % (4977)------------------------------ 0.64/0.55 % (4977)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.64/0.55 % (4977)Termination reason: Unknown 0.64/0.55 % (4977)Termination phase: shuffling 0.64/0.55 0.64/0.55 % (4977)Memory used [KB]: 1535 0.64/0.55 % (4977)Time elapsed: 0.005 s 0.64/0.55 % (4977)Instructions burned: 8 (million) 0.64/0.55 % (4977)------------------------------ 0.64/0.55 % (4977)------------------------------ 0.64/0.56 % (4983)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/6Mi) 0.64/0.57 % (4980)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_4850 for (1799ds/18Mi) 0.64/0.57 % (4979)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/4Mi) 0.64/0.57 % (4983)Instruction limit reached! 0.64/0.57 % (4983)------------------------------ 0.64/0.57 % (4983)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.64/0.57 % (4983)Termination reason: Unknown 0.64/0.57 % (4983)Termination phase: shuffling 0.64/0.57 0.64/0.57 % (4983)Memory used [KB]: 1535 0.64/0.57 % (4983)Time elapsed: 0.004 s 0.64/0.57 % (4983)Instructions burned: 7 (million) 0.64/0.57 % (4983)------------------------------ 0.64/0.57 % (4983)------------------------------ 0.64/0.57 % (4979)Instruction limit reached! 0.64/0.57 % (4979)------------------------------ 0.64/0.57 % (4979)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.64/0.57 % (4979)Termination reason: Unknown 0.64/0.57 % (4979)Termination phase: shuffling 0.64/0.57 0.64/0.57 % (4979)Memory used [KB]: 1535 0.64/0.57 % (4979)Time elapsed: 0.005 s 0.64/0.57 % (4979)Instructions burned: 4 (million) 0.64/0.57 % (4979)------------------------------ 0.64/0.57 % (4979)------------------------------ 0.64/0.57 % (4981)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_4850 for (1799ds/710Mi) 0.64/0.57 % (4980)Instruction limit reached! 0.64/0.57 % (4980)------------------------------ 0.64/0.57 % (4980)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.64/0.57 % (4980)Termination reason: Unknown 0.64/0.57 % (4980)Termination phase: shuffling 0.64/0.57 0.64/0.57 % (4980)Memory used [KB]: 1918 0.64/0.57 % (4980)Time elapsed: 0.010 s 0.64/0.57 % (4980)Instructions burned: 18 (million) 0.64/0.57 % (4980)------------------------------ 0.64/0.57 % (4980)------------------------------ 0.82/0.58 % (4986)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_4850 for (1798ds/5Mi) 0.82/0.58 % (4984)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_4850 for (1798ds/902Mi) 0.82/0.58 % (4985)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_4850 for (1798ds/21Mi) 0.82/0.59 % (4986)Instruction limit reached! 0.82/0.59 % (4986)------------------------------ 0.82/0.59 % (4986)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.59 % (4986)Termination reason: Unknown 0.82/0.59 % (4986)Termination phase: shuffling 0.82/0.59 0.82/0.59 % (4986)Memory used [KB]: 1535 0.82/0.59 % (4986)Time elapsed: 0.004 s 0.82/0.59 % (4986)Instructions burned: 6 (million) 0.82/0.59 % (4986)------------------------------ 0.82/0.59 % (4986)------------------------------ 0.82/0.60 % (4987)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_4850 for (1798ds/6Mi) 0.82/0.60 % (4985)Instruction limit reached! 0.82/0.60 % (4985)------------------------------ 0.82/0.60 % (4985)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.60 % (4985)Termination reason: Unknown 0.82/0.60 % (4985)Termination phase: shuffling 0.82/0.60 0.82/0.60 % (4985)Memory used [KB]: 1918 0.82/0.60 % (4985)Time elapsed: 0.013 s 0.82/0.60 % (4985)Instructions burned: 21 (million) 0.82/0.60 % (4985)------------------------------ 0.82/0.60 % (4985)------------------------------ 0.82/0.60 % (4987)Instruction limit reached! 0.82/0.60 % (4987)------------------------------ 0.82/0.60 % (4987)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.60 % (4987)Termination reason: Unknown 0.82/0.60 % (4987)Termination phase: shuffling 0.82/0.60 0.82/0.60 % (4987)Memory used [KB]: 1535 0.82/0.60 % (4987)Time elapsed: 0.004 s 0.82/0.60 % (4987)Instructions burned: 7 (million) 0.82/0.60 % (4987)------------------------------ 0.82/0.60 % (4987)------------------------------ 0.82/0.61 % (4960)Instruction limit reached! 0.82/0.61 % (4960)------------------------------ 0.82/0.61 % (4960)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.61 % (4960)Termination reason: Unknown 0.82/0.61 % (4960)Termination phase: Saturation 0.82/0.61 0.82/0.61 % (4960)Memory used [KB]: 7675 0.82/0.61 % (4960)Time elapsed: 0.089 s 0.82/0.61 % (4960)Instructions burned: 183 (million) 0.82/0.61 % (4960)------------------------------ 0.82/0.61 % (4960)------------------------------ 0.82/0.61 % (4989)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_4850 for (1798ds/779Mi) 0.82/0.61 % (4988)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_4850 for (1798ds/377Mi) 0.82/0.62 % (4990)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_4850 for (1798ds/19Mi) 1.03/0.65 % (4990)Instruction limit reached! 1.03/0.65 % (4990)------------------------------ 1.03/0.65 % (4990)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.65 % (4990)Termination reason: Unknown 1.03/0.65 % (4990)Termination phase: shuffling 1.03/0.65 1.03/0.65 % (4990)Memory used [KB]: 1918 1.03/0.65 % (4990)Time elapsed: 0.009 s 1.03/0.65 % (4990)Instructions burned: 20 (million) 1.03/0.65 % (4990)------------------------------ 1.03/0.65 % (4990)------------------------------ 1.03/0.66 % (4965)Instruction limit reached! 1.03/0.66 % (4965)------------------------------ 1.03/0.66 % (4965)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.66 % (4965)Termination reason: Unknown 1.03/0.66 % (4965)Termination phase: Saturation 1.03/0.66 1.03/0.66 % (4965)Memory used [KB]: 9978 1.03/0.66 % (4965)Time elapsed: 0.130 s 1.03/0.66 % (4965)Instructions burned: 277 (million) 1.03/0.66 % (4965)------------------------------ 1.03/0.66 % (4965)------------------------------ 1.07/0.67 % (4992)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_4850 for (1797ds/17Mi) 1.07/0.67 % (4991)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_4850 for (1797ds/879Mi) 1.07/0.67 % (4992)Instruction limit reached! 1.07/0.67 % (4992)------------------------------ 1.07/0.67 % (4992)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.67 % (4992)Termination reason: Unknown 1.07/0.67 % (4992)Termination phase: shuffling 1.07/0.67 1.07/0.67 % (4992)Memory used [KB]: 1918 1.07/0.67 % (4992)Time elapsed: 0.008 s 1.07/0.67 % (4992)Instructions burned: 19 (million) 1.07/0.67 % (4992)------------------------------ 1.07/0.67 % (4992)------------------------------ 1.07/0.68 % (4993)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_4850 for (1797ds/3Mi) 1.07/0.68 % (4993)Instruction limit reached! 1.07/0.68 % (4993)------------------------------ 1.07/0.68 % (4993)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.68 % (4993)Termination reason: Unknown 1.07/0.68 % (4993)Termination phase: shuffling 1.07/0.68 1.07/0.68 % (4993)Memory used [KB]: 1535 1.07/0.68 % (4993)Time elapsed: 0.003 s 1.07/0.68 % (4993)Instructions burned: 4 (million) 1.07/0.68 % (4993)------------------------------ 1.07/0.68 % (4993)------------------------------ 1.07/0.70 % (4994)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_4850 for (1797ds/30Mi) 1.07/0.71 % (4994)Instruction limit reached! 1.07/0.71 % (4994)------------------------------ 1.07/0.71 % (4994)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.71 % (4994)Termination reason: Unknown 1.07/0.71 % (4994)Termination phase: shuffling 1.07/0.71 1.07/0.71 % (4994)Memory used [KB]: 2046 1.07/0.71 % (4994)Time elapsed: 0.012 s 1.07/0.71 % (4994)Instructions burned: 30 (million) 1.07/0.71 % (4994)------------------------------ 1.07/0.71 % (4994)------------------------------ 1.16/0.72 % (4995)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_4850 for (1797ds/127Mi) 1.16/0.73 % (4988)Instruction limit reached! 1.16/0.73 % (4988)------------------------------ 1.16/0.73 % (4988)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.16/0.73 % (4988)Termination reason: Unknown 1.16/0.73 % (4988)Termination phase: Saturation 1.16/0.73 1.16/0.73 % (4988)Memory used [KB]: 9594 1.16/0.73 % (4988)Time elapsed: 0.119 s 1.16/0.73 % (4988)Instructions burned: 378 (million) 1.16/0.73 % (4988)------------------------------ 1.16/0.73 % (4988)------------------------------ 1.16/0.74 % (4996)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_4850 for (1797ds/100Mi) 1.31/0.77 % (4995)Instruction limit reached! 1.31/0.77 % (4995)------------------------------ 1.31/0.77 % (4995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.31/0.77 % (4995)Termination reason: Unknown 1.31/0.77 % (4995)Termination phase: Function definition elimination 1.31/0.77 1.31/0.77 % (4995)Memory used [KB]: 2686 1.31/0.77 % (4995)Time elapsed: 0.039 s 1.31/0.77 % (4995)Instructions burned: 127 (million) 1.31/0.77 % (4995)------------------------------ 1.31/0.77 % (4995)------------------------------ 1.31/0.77 % (4996)Instruction limit reached! 1.31/0.77 % (4996)------------------------------ 1.31/0.77 % (4996)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.31/0.77 % (4996)Termination reason: Unknown 1.31/0.77 % (4996)Termination phase: Function definition elimination 1.31/0.77 1.31/0.77 % (4996)Memory used [KB]: 2686 1.31/0.77 % (4996)Time elapsed: 0.032 s 1.31/0.77 % (4996)Instructions burned: 102 (million) 1.31/0.77 % (4996)------------------------------ 1.31/0.77 % (4996)------------------------------ 1.31/0.78 % (4998)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_4850 for (1796ds/20Mi) 1.31/0.78 % (4997)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_4850 for (1796ds/3Mi) 1.31/0.79 % (4997)Instruction limit reached! 1.31/0.79 % (4997)------------------------------ 1.31/0.79 % (4997)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.31/0.79 % (4997)Termination reason: Unknown 1.31/0.79 % (4997)Termination phase: shuffling 1.31/0.79 1.31/0.79 % (4997)Memory used [KB]: 1535 1.31/0.79 % (4997)Time elapsed: 0.003 s 1.31/0.79 % (4997)Instructions burned: 3 (million) 1.31/0.79 % (4997)------------------------------ 1.31/0.79 % (4997)------------------------------ 1.31/0.79 % (4998)Instruction limit reached! 1.31/0.79 % (4998)------------------------------ 1.31/0.79 % (4998)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.31/0.79 % (4998)Termination reason: Unknown 1.31/0.79 % (4998)Termination phase: shuffling 1.31/0.79 1.31/0.79 % (4998)Memory used [KB]: 1918 1.31/0.79 % (4998)Time elapsed: 0.010 s 1.31/0.79 % (4998)Instructions burned: 21 (million) 1.31/0.79 % (4998)------------------------------ 1.31/0.79 % (4998)------------------------------ 1.31/0.80 % (4999)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_4850 for (1796ds/86Mi) 1.31/0.80 % (5000)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_4850 for (1796ds/107Mi) 1.31/0.82 % (4999)Instruction limit reached! 1.31/0.82 % (4999)------------------------------ 1.31/0.82 % (4999)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.31/0.82 % (4999)Termination reason: Unknown 1.31/0.82 % (4999)Termination phase: Property scanning 1.31/0.82 1.31/0.82 % (4999)Memory used [KB]: 2686 1.31/0.82 % (4999)Time elapsed: 0.028 s 1.31/0.82 % (4999)Instructions burned: 89 (million) 1.31/0.82 % (4999)------------------------------ 1.31/0.82 % (4999)------------------------------ 1.53/0.83 % (4989)Instruction limit reached! 1.53/0.83 % (4989)------------------------------ 1.53/0.83 % (4989)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.53/0.83 % (4989)Termination reason: Unknown 1.53/0.83 % (4989)Termination phase: Saturation 1.53/0.83 1.53/0.83 % (4989)Memory used [KB]: 7547 1.53/0.83 % (4989)Time elapsed: 0.218 s 1.53/0.83 % (4989)Instructions burned: 779 (million) 1.53/0.83 % (4989)------------------------------ 1.53/0.83 % (4989)------------------------------ 1.53/0.83 % (5000)Instruction limit reached! 1.53/0.83 % (5000)------------------------------ 1.53/0.83 % (5000)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.53/0.83 % (5000)Termination reason: Unknown 1.53/0.83 % (5000)Termination phase: Property scanning 1.53/0.83 1.53/0.83 % (5000)Memory used [KB]: 2686 1.53/0.83 % (5000)Time elapsed: 0.038 s 1.53/0.83 % (5000)Instructions burned: 108 (million) 1.53/0.83 % (5000)------------------------------ 1.53/0.83 % (5000)------------------------------ 1.53/0.84 % (5001)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_4850 for (1796ds/39Mi) 1.53/0.84 % (5002)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_4850 for (1796ds/448Mi) 1.53/0.84 % (4984)First to succeed. 1.53/0.85 % (5001)Instruction limit reached! 1.53/0.85 % (5001)------------------------------ 1.53/0.85 % (5001)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.53/0.85 % (5001)Termination reason: Unknown 1.53/0.85 % (5001)Termination phase: shuffling 1.53/0.85 1.53/0.85 % (5001)Memory used [KB]: 2302 1.53/0.85 % (5001)Time elapsed: 0.013 s 1.53/0.85 % (5001)Instructions burned: 41 (million) 1.53/0.85 % (5001)------------------------------ 1.53/0.85 % (5001)------------------------------ 1.53/0.85 % (4984)Refutation found. Thanks to Tanya! 1.53/0.85 % SZS status Theorem for E---3.1_4850 1.53/0.85 % SZS output start Proof for E---3.1_4850 1.53/0.85 thf(func_def_0, type, in: $i > $i > $o). 1.53/0.85 thf(func_def_1, type, exu: ($i > $o) > $o). 1.53/0.85 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.53/0.85 thf(func_def_8, type, powerset: $i > $i). 1.53/0.85 thf(func_def_10, type, setunion: $i > $i). 1.53/0.85 thf(func_def_19, type, descr: ($i > $o) > $i). 1.53/0.85 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_26, type, prop2set: $o > $i). 1.53/0.85 thf(func_def_36, type, nonempty: $i > $o). 1.53/0.85 thf(func_def_69, type, set2prop: $i > $o). 1.53/0.85 thf(func_def_88, type, subset: $i > $i > $o). 1.53/0.85 thf(func_def_89, type, disjoint: $i > $i > $o). 1.53/0.85 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.53/0.85 thf(func_def_114, type, binunion: $i > $i > $i). 1.53/0.85 thf(func_def_122, type, binintersect: $i > $i > $i). 1.53/0.85 thf(func_def_135, type, regular: $i > $o). 1.53/0.85 thf(func_def_136, type, setminus: $i > $i > $i). 1.53/0.85 thf(func_def_147, type, symdiff: $i > $i > $i). 1.53/0.85 thf(func_def_153, type, iskpair: $i > $o). 1.53/0.85 thf(func_def_158, type, kpair: $i > $i > $i). 1.53/0.85 thf(func_def_160, type, cartprod: $i > $i > $i). 1.53/0.85 thf(func_def_177, type, singleton: $i > $o). 1.53/0.85 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.53/0.85 thf(func_def_184, type, atmost1p: $i > $o). 1.53/0.85 thf(func_def_185, type, atleast2p: $i > $o). 1.53/0.85 thf(func_def_186, type, atmost2p: $i > $o). 1.53/0.85 thf(func_def_187, type, upairsetp: $i > $o). 1.53/0.85 thf(func_def_191, type, kfst: $i > $i). 1.53/0.85 thf(func_def_203, type, ksnd: $i > $i). 1.53/0.85 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.53/0.85 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.53/0.85 thf(func_def_222, type, func: $i > $i > $i > $o). 1.53/0.85 thf(func_def_223, type, funcSet: $i > $i > $i). 1.53/0.85 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.53/0.85 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.53/0.85 thf(func_def_322, type, sP2: $o > $i > $i > $i > $o). 1.53/0.85 thf(func_def_325, type, sP5: $i > $i > $i > $i > $o). 1.53/0.85 thf(func_def_328, type, sP8: $i > $i > $i > $o). 1.53/0.85 thf(func_def_329, type, sP9: $i > $i > $o). 1.53/0.85 thf(func_def_330, type, sP10: $i > $o). 1.53/0.85 thf(func_def_331, type, sP11: $i > $i > $o). 1.53/0.85 thf(func_def_332, type, sP12: $i > $i > $o). 1.53/0.85 thf(func_def_350, type, sK30: $i > $i > $i). 1.53/0.85 thf(func_def_360, type, sK40: $i > $o). 1.53/0.85 thf(func_def_386, type, sK66: $i > $o). 1.53/0.85 thf(func_def_389, type, sK69: $i > $o). 1.53/0.85 thf(func_def_398, type, sK78: $i > $o). 1.53/0.85 thf(func_def_399, type, sK79: $i > $i). 1.53/0.85 thf(func_def_400, type, sK80: ($i > $o) > $i). 1.53/0.85 thf(func_def_425, type, sK105: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_426, type, sK106: ($i > $o) > ($i > $o) > $i). 1.53/0.85 thf(func_def_427, type, sK107: ($i > $o) > ($i > $o) > $i). 1.53/0.85 thf(func_def_428, type, sK108: $i > $o). 1.53/0.85 thf(func_def_429, type, sK109: $i > $o). 1.53/0.85 thf(func_def_439, type, sK119: $i > $i). 1.53/0.85 thf(func_def_440, type, sK120: $i > $i). 1.53/0.85 thf(func_def_456, type, sK136: ($i > $i) > $i > $i > $i). 1.53/0.85 thf(func_def_459, type, sK139: $i > $i). 1.53/0.85 thf(func_def_466, type, sK146: $o > $i > $i > $i). 1.53/0.85 thf(func_def_467, type, sK147: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_468, type, sK148: $i > $o). 1.53/0.85 thf(func_def_475, type, sK155: ($i > $o) > $i). 1.53/0.85 thf(func_def_476, type, sK156: $i > $o). 1.53/0.85 thf(func_def_501, type, sK181: $i > $i > $i). 1.53/0.85 thf(func_def_508, type, sK188: $i > $o). 1.53/0.85 thf(func_def_519, type, sK199: $i > $i). 1.53/0.85 thf(func_def_533, type, sK213: $i > $o). 1.53/0.85 thf(func_def_535, type, sK215: ($i > $o) > $i > $i). 1.53/0.85 thf(func_def_536, type, sK216: $i > ($i > $i) > $i > $i). 1.53/0.85 thf(func_def_538, type, sK218: $i > $i). 1.53/0.85 thf(func_def_549, type, sK229: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_567, type, sK247: $i > $o). 1.53/0.85 thf(func_def_569, type, sK249: ($i > $o) > $i > $i > $i > $i). 1.53/0.85 thf(func_def_570, type, sK250: ($i > $o) > $i > $i > $i > $i). 1.53/0.85 thf(func_def_588, type, sK268: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_596, type, sK276: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_597, type, sK277: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_598, type, sK278: $i > $i > $i). 1.53/0.85 thf(func_def_610, type, sK290: $i > $o). 1.53/0.85 thf(func_def_615, type, sK295: $i > $o). 1.53/0.85 thf(func_def_618, type, sK298: ($i > $o) > $i > $i > $i > $i). 1.53/0.85 thf(func_def_619, type, sK299: ($i > $o) > $i > $i > $i > $i). 1.53/0.85 thf(func_def_623, type, sK303: $i > $o). 1.53/0.85 thf(func_def_631, type, sK311: $i > $i > $o). 1.53/0.85 thf(func_def_634, type, sK314: $i > $i > $o). 1.53/0.85 thf(func_def_640, type, sK320: $i > $o). 1.53/0.85 thf(func_def_644, type, sK324: $i > $o). 1.53/0.85 thf(func_def_647, type, sK327: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_648, type, sK328: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_664, type, sK344: $i > $o). 1.53/0.85 thf(func_def_668, type, sK348: $i > $o). 1.53/0.85 thf(func_def_670, type, sK350: $i > $i > $i). 1.53/0.85 thf(func_def_675, type, sK355: $i > $i > $o). 1.53/0.85 thf(func_def_683, type, sK363: ($i > $o) > $i). 1.53/0.85 thf(func_def_684, type, sK364: $i > $o). 1.53/0.85 thf(func_def_685, type, sK365: $i > $i). 1.53/0.85 thf(func_def_689, type, sK369: $i > $i > $o). 1.53/0.85 thf(func_def_691, type, sK371: $i > $i). 1.53/0.85 thf(func_def_692, type, sK372: $i > $i). 1.53/0.85 thf(func_def_693, type, sK373: $i > ($i > $i > $o) > $i). 1.53/0.85 thf(func_def_694, type, sK374: $i > ($i > $i > $o) > $i). 1.53/0.85 thf(func_def_695, type, sK375: $i > $i > ($i > $i > $o) > $i). 1.53/0.85 thf(func_def_710, type, sK390: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_711, type, sK391: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_712, type, sK392: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_713, type, sK393: $i > $i > $i > $i > $i). 1.53/0.85 thf(func_def_717, type, sK397: $i > $o). 1.53/0.85 thf(func_def_728, type, sK408: $i > $o). 1.53/0.85 thf(func_def_730, type, sK410: $i > ($i > $o) > $i > $i). 1.53/0.85 thf(func_def_739, type, sK419: $i > $i > $i). 1.53/0.85 thf(func_def_746, type, sK426: $i > $o). 1.53/0.85 thf(func_def_748, type, sK428: ($i > $o) > $i > $i). 1.53/0.85 thf(func_def_749, type, sK429: $i > $o). 1.53/0.85 thf(func_def_752, type, sK432: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_753, type, sK433: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_771, type, sK451: $i > $i > $i). 1.53/0.85 thf(func_def_777, type, sK457: $i > $i). 1.53/0.85 thf(func_def_807, type, sK487: $i > $i > $i > $i). 1.53/0.85 thf(func_def_808, type, sK488: $i > $i > $i > $i). 1.53/0.85 thf(func_def_818, type, sK498: $i > $i). 1.53/0.85 thf(func_def_821, type, sK501: $i > ($i > $i) > $i > $i). 1.53/0.85 thf(func_def_832, type, sK512: $i > $i > $i). 1.53/0.85 thf(func_def_835, type, sK515: $i > $i > $o). 1.53/0.85 thf(func_def_844, type, sK524: $i > $o). 1.53/0.85 thf(func_def_846, type, sK526: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_865, type, sK545: ($i > $o) > $i). 1.53/0.85 thf(func_def_866, type, sK546: ($i > $o) > $i). 1.53/0.85 thf(func_def_867, type, sK547: $i > $o). 1.53/0.85 thf(func_def_873, type, sK553: $i > $o). 1.53/0.85 thf(func_def_877, type, sK557: $i > ($i > $i) > $i > $i). 1.53/0.85 thf(func_def_879, type, sK559: $i > $i). 1.53/0.85 thf(func_def_886, type, sK566: $i > $i > $i > $i). 1.53/0.85 thf(func_def_928, type, sK608: $i > $i > $i > $i). 1.53/0.85 thf(func_def_929, type, sK609: $i > $i > $i > $i). 1.53/0.85 thf(func_def_931, type, sK611: $i > $o). 1.53/0.85 thf(func_def_937, type, sK617: $i > $i). 1.53/0.85 thf(func_def_946, type, sK626: $i > $i). 1.53/0.85 thf(func_def_953, type, sK633: $i > $o). 1.53/0.85 thf(func_def_959, type, sK639: ($i > $o) > ($i > $o) > $i). 1.53/0.85 thf(func_def_960, type, sK640: ($i > $o) > ($i > $o) > $i). 1.53/0.85 thf(func_def_961, type, sK641: $i > $o). 1.53/0.85 thf(func_def_962, type, sK642: $i > $o). 1.53/0.85 thf(func_def_974, type, sK654: $i > $o). 1.53/0.85 thf(func_def_976, type, sK656: ($i > $o) > $i > $i). 1.53/0.85 thf(func_def_979, type, sK659: $i > $i > $i > $i). 1.53/0.85 thf(func_def_983, type, sK663: $i > $i > $o). 1.53/0.85 thf(func_def_996, type, sK676: $i > $o). 1.53/0.85 thf(func_def_999, type, sK679: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_1012, type, sK692: $i > $i > $i). 1.53/0.85 thf(func_def_1013, type, sK693: $i > $i > $i). 1.53/0.85 thf(func_def_1031, type, sK711: ($i > $o) > ($i > $o) > $i > $i > $i). 1.53/0.85 thf(func_def_1032, type, sK712: ($i > $o) > ($i > $o) > $i > $i > $i). 1.53/0.85 thf(func_def_1035, type, sK715: $i > $o). 1.53/0.85 thf(func_def_1036, type, sK716: $i > $o). 1.53/0.85 thf(func_def_1040, type, sK720: $i > $i > $o). 1.53/0.85 thf(func_def_1079, type, sK759: $i > $i). 1.53/0.85 thf(func_def_1081, type, sK761: $i > ($i > $i) > $i > $i). 1.53/0.85 thf(func_def_1082, type, sK762: $i > $i > $i). 1.53/0.85 thf(func_def_1094, type, sK774: $i > $i > $i). 1.53/0.85 thf(func_def_1095, type, sK775: $i > $i > $i). 1.53/0.85 thf(func_def_1096, type, sK776: $i > $i > $i). 1.53/0.85 thf(func_def_1097, type, sK777: $i > $i > $i). 1.53/0.85 thf(func_def_1098, type, sK778: $i > $i > $i). 1.53/0.85 thf(func_def_1099, type, sK779: $i > $i > $i > $i). 1.53/0.85 thf(func_def_1100, type, sK780: $i > $i). 1.53/0.85 thf(func_def_1101, type, sK781: $i > $i). 1.53/0.85 thf(func_def_1102, type, sK782: $i > $i). 1.53/0.85 thf(func_def_1103, type, sK783: $i > $i). 1.53/0.85 thf(func_def_1104, type, sK784: $i > $i > $i > $i). 1.53/0.85 thf(func_def_1105, type, sK785: $i > $i > $i > $i). 1.53/0.85 thf(func_def_1106, type, sK786: $i > $i > $i). 1.53/0.85 thf(func_def_1107, type, sK787: $i > $i > $i). 1.53/0.85 thf(func_def_1108, type, sK788: $i > $i > $i). 1.53/0.85 thf(func_def_1109, type, sK789: $i > $i). 1.53/0.85 thf(func_def_1111, type, sK791: $i > $i). 1.53/0.85 thf(func_def_1112, type, sK792: $i > $i). 1.53/0.85 thf(func_def_1119, type, sK799: $i > $i > $o). 1.53/0.85 thf(func_def_1120, type, sK800: ($i > $i) > $i > $i > $i). 1.53/0.85 thf(func_def_1123, type, sK803: $i > $i). 1.53/0.85 thf(func_def_1127, type, sK807: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_1128, type, sK808: $i > $o). 1.53/0.85 thf(func_def_1135, type, sK815: $i > $o). 1.53/0.85 thf(func_def_1138, type, sK818: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_1157, type, sK837: $i > ($i > $o) > $i). 1.53/0.85 thf(func_def_1158, type, sK838: $i > $o). 1.53/0.85 thf(func_def_1176, type, sK856: $i > $i). 1.53/0.85 thf(func_def_1187, type, ph867: !>[X0: $tType]:(X0)). 1.53/0.85 thf(f6988,plain,( 1.53/0.85 $false), 1.53/0.85 inference(avatar_sat_refutation,[],[f4338,f4630,f4647,f5398,f6987])). 1.53/0.85 thf(f6987,plain,( 1.53/0.85 ~spl866_29 | ~spl866_10), 1.53/0.85 inference(avatar_split_clause,[],[f4498,f4269,f4531])). 1.53/0.85 thf(f4531,plain,( 1.53/0.85 spl866_29 <=> ((in @ sK19 @ sK18) = $true)), 1.53/0.85 introduced(avatar_definition,[new_symbols(naming,[spl866_29])])). 1.53/0.85 thf(f4269,plain,( 1.53/0.85 spl866_10 <=> ($true = (in @ sK19 @ (setminus @ sK17 @ sK18)))), 1.53/0.85 introduced(avatar_definition,[new_symbols(naming,[spl866_10])])). 1.53/0.85 thf(f4498,plain,( 1.53/0.85 ((in @ sK19 @ sK18) != $true) | ~spl866_10), 1.53/0.85 inference(trivial_inequality_removal,[],[f4497])). 1.53/0.85 thf(f4497,plain,( 1.53/0.85 ((in @ sK19 @ sK18) != $true) | ($true != $true) | ~spl866_10), 1.53/0.85 inference(forward_demodulation,[],[f4496,f2726])). 1.53/0.85 thf(f2726,plain,( 1.53/0.85 (setminusER = $true)), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f1216,plain,( 1.53/0.85 (complementTnotintersectT = $true) & (funcext2 = $true) & (in__Cong = $true) & (subbreln = $true) & (eqimpsubset2 = $true) & (setminusI = $true) & (kpairiskpair = $true) & (dpsetconstrERa = $true) & (binunionEcases = $true) & (inIntersectImpInUnion2 = $true) & (setminusSubset2 = $true) & (cartprodmempair1 = $true) & (demorgan2a1 = $true) & (setukpairinjR2 = $true) & (ap2apEq1 = $true) & (ubforcartprodlem2 = $true) & (ap2p = $true) & (contrasubsetT3 = $true) & (powersetsubset = $true) & (ifp = $true) & (setukpairIR = $true) & (subsetRefl = $true) & (demorgan1a = $true) & (eqbreln = $true) & (complementSubsetComplementIntersect = $true) & (setminusEL = $true) & (complementUnionInPowersetComplement = $true) & (complementTI1 = $true) & (cartprodmempair = $true) & (setukpairinjL2 = $true) & (lamp = $true) & (eqimpsubset1 = $true) & (subsetTI = $true) & (uniqinunit = $true) & (symdiffE = $true) & (dsetconstrEL = $true) & (upairequniteq = $true) & (notdexE = $true) & (notequalI1 = $true) & (exuE2 = $true) & (iftrueorfalse = $true) & (powersetT_lem = $true) & (setextAx = $true) & (exuE3u = $true) & (beta1 = $true) & (setminusIRneg = $true) & (cartprodpairsurjEq = $true) & (lam2p = $true) & (binunionTILcontra = $true) & (setminusLsub = $true) & (dpsetconstrEL2 = $true) & (exuI1 = $true) & (iftrueProp2 = $true) & (prop2setE = $true) & (((($true = (in @ sK19 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ sK18)))) & ($true != (in @ sK19 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) & ($true = (in @ sK19 @ sK17))) & ($true = (in @ sK18 @ (powerset @ sK17)))) & ($true = (in @ sK16 @ (powerset @ sK17)))) & (disjointsetsI1 = $true) & (emptysetE = $true) & (binunionRsub = $true) & (powersetE1 = $true) & (setunionI = $true) & (exuI2 = $true) & (cartprodpairmemEL = $true) & (kpairsurjEq = $true) & (demorgan2a2 = $true) & (complementTcontraSubset = $true) & (binintersectEL = $true) & (omega__Cong = $true) & (upairset2IR = $true) & (setminusER = $true) & (sepInPowerset = $true) & (setextT = $true) & (upairsetIL = $true) & (ex1E1 = $true) & (emptyset__Cong = $true) & (setext = $true) & (binintersectER = $true) & (notdallE = $true) & (emptysetAx = $true) & (descrp = $true) & (ifSingleton = $true) & (dsetconstrER = $true) & (omegaIndAx = $true) & (lamProp = $true) & (apProp = $true) & (subsetE2 = $true) & (contraSubsetComplement = $true) & (notinemptyset = $true) & (infuncsetfunc = $true) & (setadjoinIL = $true) & (setextsub = $true) & (prop2set2propI = $true) & (setunionAx = $true) & (setukpairinjL1 = $true) & (theeq = $true) & (brelnall2 = $true) & (upairinpowunion = $true) & (binunionLsub = $true) & (emptyI = $true) & (binintersectLsub = $true) & (notequalI2 = $true) & (binunionTEcontra = $true) & (intersectInPowersetIntersectUnions = $true) & (foundationAx = $true) & (quantDeMorgan4 = $true) & (lam2lamEq = $true) & (cartprodpairmemER = $true) & (contrasubsetT1 = $true) & (setunionsingleton = $true) & (doubleComplementSub1 = $true) & (funcGraphProp1 = $true) & (setunionsingleton2 = $true) & (ubforcartprodlem1 = $true) & (eqinunit = $true) & (funcGraphProp4 = $true) & (nonemptyImpWitness = $true) & (symdiffIneg2 = $true) & (binintersectSubset2 = $true) & (singletoninpowerset = $true) & (doubleComplementE1 = $true) & (binunionIL = $true) & (notinsingleton = $true) & (setunion__Cong = $true) & (setminusELneg = $true) & (symdiffIneg1 = $true) & (doubleComplementEq = $true) & (binintersectTERcontra = $true) & (binintersectSubset3 = $true) & (doubleComplementI1 = $true) & (binintersectSubset1 = $true) & (exu__Cong = $true) & (dpsetconstrEL1 = $true) & (binintersectTELcontra = $true) & (funcextLem = $true) & (noeltsimpempty = $true) & (ksndsingleton = $true) & (setukpairinjR11 = $true) & (subsetE = $true) & (ubforcartprodlem3 = $true) & (nonemptyI1 = $true) & (wellorderingAx = $true) & (funcImageSingleton = $true) & (setOfPairsIsBReln = $true) & (singletonsswitch = $true) & (setadjoin__Cong = $true) & (notsubsetI = $true) & (prop2setI = $true) & (brelnall1 = $true) & (iffalse = $true) & (nonemptyE1 = $true) & (cartprodfstpairEq = $true) & (powersetI = $true) & (dpsetconstrI = $true) & (bs114d = $true) & (setadjoinSub = $true) & (setadjoinIR = $true) & (setadjoinE = $true) & (complementInPowersetComplementIntersect = $true) & (cartprodsndpairEq = $true) & (eta1 = $true) & (powersetTI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (upairsubunion = $true) & (symdiffI2 = $true) & (complementT_lem = $true) & (iftrue = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (inComplementUnionImpNotIn1 = $true) & (eta2 = $true) & (subsetI1 = $true) & (exuEu = $true) & (quantDeMorgan3 = $true) & (setadjoinOr = $true) & (subsetTrans = $true) & (singletonprop = $true) & (complementTE1 = $true) & (setoftrueEq = $true) & (app = $true) & (upairsetE = $true) & (setminusILneg = $true) & (setukpairIL = $true) & (binintersectT_lem = $true) & (omegaSAx = $true) & (contrasubsetT = $true) & (dpsetconstrSub = $true) & (emptysetsubset = $true) & (inCongP = $true) & (exuE1 = $true) & (subset2powerset = $true) & (emptyinunitempty = $true) & (binintersectSubset4 = $true) & (subsetemptysetimpeq = $true) & (secondinupair = $true) & (contrasubsetT2 = $true) & (setukpairinjL = $true) & (kfstpairEq = $true) & (symdiffI1 = $true) & (funcinfuncset = $true) & (beta2 = $true) & (setminusSubset1 = $true) & (funcext = $true) & (ex1E2 = $true) & (descr__Cong = $true) & (ap2apEq2 = $true) & (powersetI1 = $true) & (binintersectSubset5 = $true) & (exuI3 = $true) & (iftrueProp1 = $true) & (sepSubset = $true) & (setminusT_lem = $true) & (binunionIR = $true) & (cartprodpairin = $true) & (omega0Ax = $true) & (ex1I = $true) & (binintersectI = $true) & (setukpairinjR1 = $true) & (binunionT_lem = $true) & (setunionsingleton1 = $true) & (ex1I2 = $true) & (setukpairinjR12 = $true) & (powersetTE1 = $true) & (ksndpairEq = $true) & (iffalseProp2 = $true) & (emptyE1 = $true) & (emptyInPowerset = $true) & (binintersectRsub = $true) & (cartprodsndin = $true) & (subsetI2 = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (upairset2E = $true) & (replAx = $true) & (kfstsingleton = $true) & (binunionE = $true) & (upairsetIR = $true) & (setbeta = $true) & (binunionTE = $true) & (setminusERneg = $true) & (iffalseProp1 = $true) & (dpsetconstrER = $true) & (powersetAx = $true) & (setunionE2 = $true) & (singletonsubset = $true) & (inComplementUnionImpInComplement1 = $true) & (singletoninpowunion = $true) & (doubleComplementSub2 = $true) & (theprop = $true) & (kpairp = $true) & (inIntersectImpInUnion = $true) & (funcGraphProp3 = $true) & (funcGraphProp2 = $true) & (powersetE = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (setunionE = $true) & (vacuousDall = $true) & (dsetconstr__Cong = $true) & (setukpairinjR = $true) & (emptysetimpfalse = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (exuE3e = $true) & (setadjoinSub2 = $true) & (inPowerset = $true) & (binunionTIRcontra = $true) & (complementImpComplementIntersect = $true) & (subPowSU = $true) & (cartprodmempaircEq = $true) & (powerset__Cong = $true)), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f974,f1215,f1214,f1213])). 1.53/0.85 thf(f1213,plain,( 1.53/0.85 ? [X0,X1] : (? [X2] : (? [X3] : (($true = (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))) & ($true != (in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) & ($true = (in @ X3 @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ((in @ X0 @ (powerset @ X1)) = $true)) => (? [X2] : (? [X3] : (($true = (in @ X3 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ X2)))) & ($true != (in @ X3 @ (setminus @ sK17 @ (binintersect @ sK16 @ X2)))) & ($true = (in @ X3 @ sK17))) & ($true = (in @ X2 @ (powerset @ sK17)))) & ($true = (in @ sK16 @ (powerset @ sK17))))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1214,plain,( 1.53/0.85 ? [X2] : (? [X3] : (($true = (in @ X3 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ X2)))) & ($true != (in @ X3 @ (setminus @ sK17 @ (binintersect @ sK16 @ X2)))) & ($true = (in @ X3 @ sK17))) & ($true = (in @ X2 @ (powerset @ sK17)))) => (? [X3] : (($true = (in @ X3 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ sK18)))) & ($true != (in @ X3 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) & ($true = (in @ X3 @ sK17))) & ($true = (in @ sK18 @ (powerset @ sK17))))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1215,plain,( 1.53/0.85 ? [X3] : (($true = (in @ X3 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ sK18)))) & ($true != (in @ X3 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) & ($true = (in @ X3 @ sK17))) => (($true = (in @ sK19 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ sK18)))) & ($true != (in @ sK19 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) & ($true = (in @ sK19 @ sK17)))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f974,plain,( 1.53/0.85 (complementTnotintersectT = $true) & (funcext2 = $true) & (in__Cong = $true) & (subbreln = $true) & (eqimpsubset2 = $true) & (setminusI = $true) & (kpairiskpair = $true) & (dpsetconstrERa = $true) & (binunionEcases = $true) & (inIntersectImpInUnion2 = $true) & (setminusSubset2 = $true) & (cartprodmempair1 = $true) & (demorgan2a1 = $true) & (setukpairinjR2 = $true) & (ap2apEq1 = $true) & (ubforcartprodlem2 = $true) & (ap2p = $true) & (contrasubsetT3 = $true) & (powersetsubset = $true) & (ifp = $true) & (setukpairIR = $true) & (subsetRefl = $true) & (demorgan1a = $true) & (eqbreln = $true) & (complementSubsetComplementIntersect = $true) & (setminusEL = $true) & (complementUnionInPowersetComplement = $true) & (complementTI1 = $true) & (cartprodmempair = $true) & (setukpairinjL2 = $true) & (lamp = $true) & (eqimpsubset1 = $true) & (subsetTI = $true) & (uniqinunit = $true) & (symdiffE = $true) & (dsetconstrEL = $true) & (upairequniteq = $true) & (notdexE = $true) & (notequalI1 = $true) & (exuE2 = $true) & (iftrueorfalse = $true) & (powersetT_lem = $true) & (setextAx = $true) & (exuE3u = $true) & (beta1 = $true) & (setminusIRneg = $true) & (cartprodpairsurjEq = $true) & (lam2p = $true) & (binunionTILcontra = $true) & (setminusLsub = $true) & (dpsetconstrEL2 = $true) & (exuI1 = $true) & (iftrueProp2 = $true) & (prop2setE = $true) & ? [X0,X1] : (? [X2] : (? [X3] : (($true = (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))) & ($true != (in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) & ($true = (in @ X3 @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ((in @ X0 @ (powerset @ X1)) = $true)) & (disjointsetsI1 = $true) & (emptysetE = $true) & (binunionRsub = $true) & (powersetE1 = $true) & (setunionI = $true) & (exuI2 = $true) & (cartprodpairmemEL = $true) & (kpairsurjEq = $true) & (demorgan2a2 = $true) & (complementTcontraSubset = $true) & (binintersectEL = $true) & (omega__Cong = $true) & (upairset2IR = $true) & (setminusER = $true) & (sepInPowerset = $true) & (setextT = $true) & (upairsetIL = $true) & (ex1E1 = $true) & (emptyset__Cong = $true) & (setext = $true) & (binintersectER = $true) & (notdallE = $true) & (emptysetAx = $true) & (descrp = $true) & (ifSingleton = $true) & (dsetconstrER = $true) & (omegaIndAx = $true) & (lamProp = $true) & (apProp = $true) & (subsetE2 = $true) & (contraSubsetComplement = $true) & (notinemptyset = $true) & (infuncsetfunc = $true) & (setadjoinIL = $true) & (setextsub = $true) & (prop2set2propI = $true) & (setunionAx = $true) & (setukpairinjL1 = $true) & (theeq = $true) & (brelnall2 = $true) & (upairinpowunion = $true) & (binunionLsub = $true) & (emptyI = $true) & (binintersectLsub = $true) & (notequalI2 = $true) & (binunionTEcontra = $true) & (intersectInPowersetIntersectUnions = $true) & (foundationAx = $true) & (quantDeMorgan4 = $true) & (lam2lamEq = $true) & (cartprodpairmemER = $true) & (contrasubsetT1 = $true) & (setunionsingleton = $true) & (doubleComplementSub1 = $true) & (funcGraphProp1 = $true) & (setunionsingleton2 = $true) & (ubforcartprodlem1 = $true) & (eqinunit = $true) & (funcGraphProp4 = $true) & (nonemptyImpWitness = $true) & (symdiffIneg2 = $true) & (binintersectSubset2 = $true) & (singletoninpowerset = $true) & (doubleComplementE1 = $true) & (binunionIL = $true) & (notinsingleton = $true) & (setunion__Cong = $true) & (setminusELneg = $true) & (symdiffIneg1 = $true) & (doubleComplementEq = $true) & (binintersectTERcontra = $true) & (binintersectSubset3 = $true) & (doubleComplementI1 = $true) & (binintersectSubset1 = $true) & (exu__Cong = $true) & (dpsetconstrEL1 = $true) & (binintersectTELcontra = $true) & (funcextLem = $true) & (noeltsimpempty = $true) & (ksndsingleton = $true) & (setukpairinjR11 = $true) & (subsetE = $true) & (ubforcartprodlem3 = $true) & (nonemptyI1 = $true) & (wellorderingAx = $true) & (funcImageSingleton = $true) & (setOfPairsIsBReln = $true) & (singletonsswitch = $true) & (setadjoin__Cong = $true) & (notsubsetI = $true) & (prop2setI = $true) & (brelnall1 = $true) & (iffalse = $true) & (nonemptyE1 = $true) & (cartprodfstpairEq = $true) & (powersetI = $true) & (dpsetconstrI = $true) & (bs114d = $true) & (setadjoinSub = $true) & (setadjoinIR = $true) & (setadjoinE = $true) & (complementInPowersetComplementIntersect = $true) & (cartprodsndpairEq = $true) & (eta1 = $true) & (powersetTI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (upairsubunion = $true) & (symdiffI2 = $true) & (complementT_lem = $true) & (iftrue = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (inComplementUnionImpNotIn1 = $true) & (eta2 = $true) & (subsetI1 = $true) & (exuEu = $true) & (quantDeMorgan3 = $true) & (setadjoinOr = $true) & (subsetTrans = $true) & (singletonprop = $true) & (complementTE1 = $true) & (setoftrueEq = $true) & (app = $true) & (upairsetE = $true) & (setminusILneg = $true) & (setukpairIL = $true) & (binintersectT_lem = $true) & (omegaSAx = $true) & (contrasubsetT = $true) & (dpsetconstrSub = $true) & (emptysetsubset = $true) & (inCongP = $true) & (exuE1 = $true) & (subset2powerset = $true) & (emptyinunitempty = $true) & (binintersectSubset4 = $true) & (subsetemptysetimpeq = $true) & (secondinupair = $true) & (contrasubsetT2 = $true) & (setukpairinjL = $true) & (kfstpairEq = $true) & (symdiffI1 = $true) & (funcinfuncset = $true) & (beta2 = $true) & (setminusSubset1 = $true) & (funcext = $true) & (ex1E2 = $true) & (descr__Cong = $true) & (ap2apEq2 = $true) & (powersetI1 = $true) & (binintersectSubset5 = $true) & (exuI3 = $true) & (iftrueProp1 = $true) & (sepSubset = $true) & (setminusT_lem = $true) & (binunionIR = $true) & (cartprodpairin = $true) & (omega0Ax = $true) & (ex1I = $true) & (binintersectI = $true) & (setukpairinjR1 = $true) & (binunionT_lem = $true) & (setunionsingleton1 = $true) & (ex1I2 = $true) & (setukpairinjR12 = $true) & (powersetTE1 = $true) & (ksndpairEq = $true) & (iffalseProp2 = $true) & (emptyE1 = $true) & (emptyInPowerset = $true) & (binintersectRsub = $true) & (cartprodsndin = $true) & (subsetI2 = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (upairset2E = $true) & (replAx = $true) & (kfstsingleton = $true) & (binunionE = $true) & (upairsetIR = $true) & (setbeta = $true) & (binunionTE = $true) & (setminusERneg = $true) & (iffalseProp1 = $true) & (dpsetconstrER = $true) & (powersetAx = $true) & (setunionE2 = $true) & (singletonsubset = $true) & (inComplementUnionImpInComplement1 = $true) & (singletoninpowunion = $true) & (doubleComplementSub2 = $true) & (theprop = $true) & (kpairp = $true) & (inIntersectImpInUnion = $true) & (funcGraphProp3 = $true) & (funcGraphProp2 = $true) & (powersetE = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (setunionE = $true) & (vacuousDall = $true) & (dsetconstr__Cong = $true) & (setukpairinjR = $true) & (emptysetimpfalse = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (exuE3e = $true) & (setadjoinSub2 = $true) & (inPowerset = $true) & (binunionTIRcontra = $true) & (complementImpComplementIntersect = $true) & (subPowSU = $true) & (cartprodmempaircEq = $true) & (powerset__Cong = $true)), 1.53/0.85 inference(flattening,[],[f973])). 1.53/0.85 thf(f973,plain,( 1.53/0.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((($true != (in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) & ($true = (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2))))) & ($true = (in @ X3 @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ((in @ X0 @ (powerset @ X1)) = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (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)), 1.53/0.85 inference(ennf_transformation,[],[f358])). 1.53/0.85 thf(f358,plain,( 1.53/0.85 ~((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) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (($true = (in @ X2 @ (powerset @ X1))) => ! [X3] : (($true = (in @ X3 @ X1)) => (($true = (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))) => ($true = (in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.53/0.85 inference(fool_elimination,[],[f357])). 1.53/0.85 thf(f357,plain,( 1.53/0.85 ~(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 => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => ((in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2))) => (in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.53/0.85 inference(rectify,[],[f274])). 1.53/0.85 thf(f274,negated_conjecture,( 1.53/0.85 ~(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 => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (binunion @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16))) => (in @ X1 @ (setminus @ X3 @ (binintersect @ X11 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.53/0.85 inference(negated_conjecture,[],[f273])). 1.53/0.85 thf(f273,conjecture,( 1.53/0.85 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 => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (binunion @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16))) => (in @ X1 @ (setminus @ X3 @ (binintersect @ X11 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',demorgan1b)). 1.53/0.85 thf(f4496,plain,( 1.53/0.85 ((in @ sK19 @ sK18) != $true) | (setminusER != $true) | ~spl866_10), 1.53/0.85 inference(trivial_inequality_removal,[],[f4483])). 1.53/0.85 thf(f4483,plain,( 1.53/0.85 (setminusER != $true) | ((in @ sK19 @ sK18) != $true) | ($true != $true) | ~spl866_10), 1.53/0.85 inference(superposition,[],[f3027,f4270])). 1.53/0.85 thf(f4270,plain,( 1.53/0.85 ($true = (in @ sK19 @ (setminus @ sK17 @ sK18))) | ~spl866_10), 1.53/0.85 inference(avatar_component_clause,[],[f4269])). 1.53/0.85 thf(f3027,plain,( 1.53/0.85 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ X0)) | (setminusER != $true)) )), 1.53/0.85 inference(cnf_transformation,[],[f1481])). 1.53/0.85 thf(f1481,plain,( 1.53/0.85 (! [X0,X1,X2] : (($true != (in @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ X0))) | (setminusER != $true)) & ((setminusER = $true) | (($true = (in @ sK193 @ (setminus @ sK192 @ sK191))) & ($true = (in @ sK193 @ sK191))))), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK191,sK192,sK193])],[f1479,f1480])). 1.53/0.85 thf(f1480,plain,( 1.53/0.85 ? [X3,X4,X5] : (($true = (in @ X5 @ (setminus @ X4 @ X3))) & ($true = (in @ X5 @ X3))) => (($true = (in @ sK193 @ (setminus @ sK192 @ sK191))) & ($true = (in @ sK193 @ sK191)))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1479,plain,( 1.53/0.85 (! [X0,X1,X2] : (($true != (in @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ X0))) | (setminusER != $true)) & ((setminusER = $true) | ? [X3,X4,X5] : (($true = (in @ X5 @ (setminus @ X4 @ X3))) & ($true = (in @ X5 @ X3))))), 1.53/0.85 inference(rectify,[],[f1478])). 1.53/0.85 thf(f1478,plain,( 1.53/0.85 (! [X0,X1,X2] : (($true != (in @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ X0))) | (setminusER != $true)) & ((setminusER = $true) | ? [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X1 @ X0))) & ($true = (in @ X2 @ X0))))), 1.53/0.85 inference(nnf_transformation,[],[f916])). 1.53/0.85 thf(f916,plain,( 1.53/0.85 ! [X0,X1,X2] : (($true != (in @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ X0))) <=> (setminusER = $true)), 1.53/0.85 inference(ennf_transformation,[],[f856])). 1.53/0.85 thf(f856,plain,( 1.53/0.85 (setminusER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X1 @ X0))) => ($true != (in @ X2 @ X0)))), 1.53/0.85 inference(flattening,[],[f704])). 1.53/0.85 thf(f704,plain,( 1.53/0.85 ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X1 @ X0))) => ~($true = (in @ X2 @ X0))) <=> (setminusER = $true)), 1.53/0.85 inference(fool_elimination,[],[f703])). 1.53/0.85 thf(f703,plain,( 1.53/0.85 (! [X0,X1,X2] : ((in @ X2 @ (setminus @ X1 @ X0)) => ~(in @ X2 @ X0)) = setminusER)), 1.53/0.85 inference(rectify,[],[f122])). 1.53/0.85 thf(f122,axiom,( 1.53/0.85 (! [X4,X3,X1] : ((in @ X1 @ (setminus @ X3 @ X4)) => ~(in @ X1 @ X4)) = setminusER)), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',setminusER)). 1.53/0.85 thf(f5398,plain,( 1.53/0.85 ~spl866_13), 1.53/0.85 inference(avatar_split_clause,[],[f5397,f4294])). 1.53/0.85 thf(f4294,plain,( 1.53/0.85 spl866_13 <=> ($true = (in @ sK19 @ (setminus @ sK17 @ sK16)))), 1.53/0.85 introduced(avatar_definition,[new_symbols(naming,[spl866_13])])). 1.53/0.85 thf(f5397,plain,( 1.53/0.85 ($true != (in @ sK19 @ (setminus @ sK17 @ sK16)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f5396])). 1.53/0.85 thf(f5396,plain,( 1.53/0.85 ($true != $true) | ($true != (in @ sK19 @ (setminus @ sK17 @ sK16)))), 1.53/0.85 inference(forward_demodulation,[],[f5395,f2741])). 1.53/0.85 thf(f2741,plain,( 1.53/0.85 ($true = (in @ sK18 @ (powerset @ sK17)))), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f5395,plain,( 1.53/0.85 ($true != (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true != (in @ sK18 @ (powerset @ sK17)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f5394])). 1.53/0.85 thf(f5394,plain,( 1.53/0.85 ($true != $true) | ($true != (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true != (in @ sK18 @ (powerset @ sK17)))), 1.53/0.85 inference(forward_demodulation,[],[f5393,f2774])). 1.53/0.85 thf(f2774,plain,( 1.53/0.85 (complementSubsetComplementIntersect = $true)), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f5393,plain,( 1.53/0.85 (complementSubsetComplementIntersect != $true) | ($true != (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true != (in @ sK18 @ (powerset @ sK17)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f5392])). 1.53/0.85 thf(f5392,plain,( 1.53/0.85 ($true != (in @ sK18 @ (powerset @ sK17))) | (complementSubsetComplementIntersect != $true) | ($true != (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true != $true)), 1.53/0.85 inference(forward_demodulation,[],[f5355,f2740])). 1.53/0.85 thf(f2740,plain,( 1.53/0.85 ($true = (in @ sK16 @ (powerset @ sK17)))), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f5355,plain,( 1.53/0.85 ($true != (in @ sK16 @ (powerset @ sK17))) | ($true != (in @ sK18 @ (powerset @ sK17))) | (complementSubsetComplementIntersect != $true) | ($true != (in @ sK19 @ (setminus @ sK17 @ sK16)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f5334])). 1.53/0.85 thf(f5334,plain,( 1.53/0.85 ($true != (in @ sK18 @ (powerset @ sK17))) | ($true != (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true != (in @ sK16 @ (powerset @ sK17))) | ($true != $true) | (complementSubsetComplementIntersect != $true)), 1.53/0.85 inference(superposition,[],[f4286,f3225])). 1.53/0.85 thf(f3225,plain,( 1.53/0.85 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) | ($true != (in @ X2 @ (powerset @ X1))) | (complementSubsetComplementIntersect != $true) | ((in @ X0 @ (powerset @ X1)) != $true)) )), 1.53/0.85 inference(cnf_transformation,[],[f1691])). 1.53/0.85 thf(f1691,plain,( 1.53/0.85 (! [X0,X1] : (! [X2] : (($true = (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) | ($true != (in @ X2 @ (powerset @ X1)))) | ((in @ X0 @ (powerset @ X1)) != $true)) | (complementSubsetComplementIntersect != $true)) & ((complementSubsetComplementIntersect = $true) | ((($true != (subset @ (setminus @ sK334 @ sK333) @ (setminus @ sK334 @ (binintersect @ sK333 @ sK335)))) & ($true = (in @ sK335 @ (powerset @ sK334)))) & ($true = (in @ sK333 @ (powerset @ sK334)))))), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK333,sK334,sK335])],[f1688,f1690,f1689])). 1.53/0.85 thf(f1689,plain,( 1.53/0.85 ? [X3,X4] : (? [X5] : (($true != (subset @ (setminus @ X4 @ X3) @ (setminus @ X4 @ (binintersect @ X3 @ X5)))) & ($true = (in @ X5 @ (powerset @ X4)))) & ((in @ X3 @ (powerset @ X4)) = $true)) => (? [X5] : (($true != (subset @ (setminus @ sK334 @ sK333) @ (setminus @ sK334 @ (binintersect @ sK333 @ X5)))) & ($true = (in @ X5 @ (powerset @ sK334)))) & ($true = (in @ sK333 @ (powerset @ sK334))))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1690,plain,( 1.53/0.85 ? [X5] : (($true != (subset @ (setminus @ sK334 @ sK333) @ (setminus @ sK334 @ (binintersect @ sK333 @ X5)))) & ($true = (in @ X5 @ (powerset @ sK334)))) => (($true != (subset @ (setminus @ sK334 @ sK333) @ (setminus @ sK334 @ (binintersect @ sK333 @ sK335)))) & ($true = (in @ sK335 @ (powerset @ sK334))))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1688,plain,( 1.53/0.85 (! [X0,X1] : (! [X2] : (($true = (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) | ($true != (in @ X2 @ (powerset @ X1)))) | ((in @ X0 @ (powerset @ X1)) != $true)) | (complementSubsetComplementIntersect != $true)) & ((complementSubsetComplementIntersect = $true) | ? [X3,X4] : (? [X5] : (($true != (subset @ (setminus @ X4 @ X3) @ (setminus @ X4 @ (binintersect @ X3 @ X5)))) & ($true = (in @ X5 @ (powerset @ X4)))) & ((in @ X3 @ (powerset @ X4)) = $true)))), 1.53/0.85 inference(rectify,[],[f1687])). 1.53/0.85 thf(f1687,plain,( 1.53/0.85 (! [X0,X1] : (! [X2] : (($true = (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) | ($true != (in @ X2 @ (powerset @ X1)))) | ((in @ X0 @ (powerset @ X1)) != $true)) | (complementSubsetComplementIntersect != $true)) & ((complementSubsetComplementIntersect = $true) | ? [X0,X1] : (? [X2] : (($true != (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) & ($true = (in @ X2 @ (powerset @ X1)))) & ((in @ X0 @ (powerset @ X1)) = $true)))), 1.53/0.85 inference(nnf_transformation,[],[f972])). 1.53/0.85 thf(f972,plain,( 1.53/0.85 ! [X0,X1] : (! [X2] : (($true = (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))) | ($true != (in @ X2 @ (powerset @ X1)))) | ((in @ X0 @ (powerset @ X1)) != $true)) <=> (complementSubsetComplementIntersect = $true)), 1.53/0.85 inference(ennf_transformation,[],[f736])). 1.53/0.85 thf(f736,plain,( 1.53/0.85 ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (($true = (in @ X2 @ (powerset @ X1))) => ($true = (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2)))))) <=> (complementSubsetComplementIntersect = $true)), 1.53/0.85 inference(fool_elimination,[],[f735])). 1.53/0.85 thf(f735,plain,( 1.53/0.85 (complementSubsetComplementIntersect = ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => (subset @ (setminus @ X1 @ X0) @ (setminus @ X1 @ (binintersect @ X0 @ X2))))))), 1.53/0.85 inference(rectify,[],[f255])). 1.53/0.85 thf(f255,axiom,( 1.53/0.85 (complementSubsetComplementIntersect = ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (subset @ (setminus @ X3 @ X11) @ (setminus @ X3 @ (binintersect @ X11 @ X16))))))), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',complementSubsetComplementIntersect)). 1.53/0.85 thf(f4286,plain,( 1.53/0.85 ( ! [X0 : $i] : (($true != (subset @ X0 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) | ((in @ sK19 @ X0) != $true)) )), 1.53/0.85 inference(trivial_inequality_removal,[],[f4285])). 1.53/0.85 thf(f4285,plain,( 1.53/0.85 ( ! [X0 : $i] : (($true != $true) | ((in @ sK19 @ X0) != $true) | ($true != (subset @ X0 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18))))) )), 1.53/0.85 inference(forward_demodulation,[],[f4223,f2658])). 1.53/0.85 thf(f2658,plain,( 1.53/0.85 (subsetE = $true)), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f4223,plain,( 1.53/0.85 ( ! [X0 : $i] : (($true != (subset @ X0 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) | ((in @ sK19 @ X0) != $true) | (subsetE != $true)) )), 1.53/0.85 inference(trivial_inequality_removal,[],[f4218])). 1.53/0.85 thf(f4218,plain,( 1.53/0.85 ( ! [X0 : $i] : ((subsetE != $true) | ($true != (subset @ X0 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18)))) | ((in @ sK19 @ X0) != $true) | ($true != $true)) )), 1.53/0.85 inference(superposition,[],[f2743,f3322])). 1.53/0.85 thf(f3322,plain,( 1.53/0.85 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X0 @ X1)) | (subsetE != $true) | ((subset @ X2 @ X1) != $true) | ($true != (in @ X0 @ X2))) )), 1.53/0.85 inference(cnf_transformation,[],[f1803])). 1.53/0.85 thf(f1803,plain,( 1.53/0.85 (! [X0,X1,X2] : (((subset @ X2 @ X1) != $true) | ($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ X2))) | (subsetE != $true)) & ((subsetE = $true) | (($true = (subset @ sK406 @ sK405)) & ((in @ sK404 @ sK405) != $true) & ($true = (in @ sK404 @ sK406))))), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK404,sK405,sK406])],[f1801,f1802])). 1.53/0.85 thf(f1802,plain,( 1.53/0.85 ? [X3,X4,X5] : (((subset @ X5 @ X4) = $true) & ($true != (in @ X3 @ X4)) & ($true = (in @ X3 @ X5))) => (($true = (subset @ sK406 @ sK405)) & ((in @ sK404 @ sK405) != $true) & ($true = (in @ sK404 @ sK406)))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1801,plain,( 1.53/0.85 (! [X0,X1,X2] : (((subset @ X2 @ X1) != $true) | ($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ X2))) | (subsetE != $true)) & ((subsetE = $true) | ? [X3,X4,X5] : (((subset @ X5 @ X4) = $true) & ($true != (in @ X3 @ X4)) & ($true = (in @ X3 @ X5))))), 1.53/0.85 inference(rectify,[],[f1800])). 1.53/0.85 thf(f1800,plain,( 1.53/0.85 (! [X0,X1,X2] : (((subset @ X2 @ X1) != $true) | ($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ X2))) | (subsetE != $true)) & ((subsetE = $true) | ? [X0,X1,X2] : (((subset @ X2 @ X1) = $true) & ($true != (in @ X0 @ X1)) & ($true = (in @ X0 @ X2))))), 1.53/0.85 inference(nnf_transformation,[],[f1118])). 1.53/0.85 thf(f1118,plain,( 1.53/0.85 ! [X0,X1,X2] : (((subset @ X2 @ X1) != $true) | ($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ X2))) <=> (subsetE = $true)), 1.53/0.85 inference(flattening,[],[f1117])). 1.53/0.85 thf(f1117,plain,( 1.53/0.85 ! [X0,X1,X2] : ((($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ X2))) | ((subset @ X2 @ X1) != $true)) <=> (subsetE = $true)), 1.53/0.85 inference(ennf_transformation,[],[f514])). 1.53/0.85 thf(f514,plain,( 1.53/0.85 ! [X0,X1,X2] : (((subset @ X2 @ X1) = $true) => (($true = (in @ X0 @ X2)) => ($true = (in @ X0 @ X1)))) <=> (subsetE = $true)), 1.53/0.85 inference(fool_elimination,[],[f513])). 1.53/0.85 thf(f513,plain,( 1.53/0.85 (subsetE = ! [X0,X1,X2] : ((subset @ X2 @ X1) => ((in @ X0 @ X2) => (in @ X0 @ X1))))), 1.53/0.85 inference(rectify,[],[f83])). 1.53/0.85 thf(f83,axiom,( 1.53/0.85 (subsetE = ! [X1,X4,X3] : ((subset @ X3 @ X4) => ((in @ X1 @ X3) => (in @ X1 @ X4))))), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',subsetE)). 1.53/0.85 thf(f2743,plain,( 1.53/0.85 ($true != (in @ sK19 @ (setminus @ sK17 @ (binintersect @ sK16 @ sK18))))), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f4647,plain,( 1.53/0.85 spl866_29 | ~spl866_14), 1.53/0.85 inference(avatar_split_clause,[],[f4646,f4307,f4531])). 1.53/0.85 thf(f4307,plain,( 1.53/0.85 spl866_14 <=> ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18)))), 1.53/0.85 introduced(avatar_definition,[new_symbols(naming,[spl866_14])])). 1.53/0.85 thf(f4646,plain,( 1.53/0.85 ((in @ sK19 @ sK18) = $true) | ~spl866_14), 1.53/0.85 inference(trivial_inequality_removal,[],[f4645])). 1.53/0.85 thf(f4645,plain,( 1.53/0.85 ($true != $true) | ((in @ sK19 @ sK18) = $true) | ~spl866_14), 1.53/0.85 inference(forward_demodulation,[],[f4644,f2719])). 1.53/0.85 thf(f2719,plain,( 1.53/0.85 (binintersectER = $true)), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f4644,plain,( 1.53/0.85 ((in @ sK19 @ sK18) = $true) | (binintersectER != $true) | ~spl866_14), 1.53/0.85 inference(trivial_inequality_removal,[],[f4634])). 1.53/0.85 thf(f4634,plain,( 1.53/0.85 (binintersectER != $true) | ($true != $true) | ((in @ sK19 @ sK18) = $true) | ~spl866_14), 1.53/0.85 inference(superposition,[],[f3491,f4309])). 1.53/0.85 thf(f4309,plain,( 1.53/0.85 ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18))) | ~spl866_14), 1.53/0.85 inference(avatar_component_clause,[],[f4307])). 1.53/0.85 thf(f3491,plain,( 1.53/0.85 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (binintersect @ X4 @ X3))) | ($true = (in @ X5 @ X3)) | (binintersectER != $true)) )), 1.53/0.85 inference(cnf_transformation,[],[f1988])). 1.53/0.85 thf(f1988,plain,( 1.53/0.85 ((binintersectER = $true) | (($true != (in @ sK529 @ sK527)) & ($true = (in @ sK529 @ (binintersect @ sK528 @ sK527))))) & (! [X3,X4,X5] : (($true = (in @ X5 @ X3)) | ($true != (in @ X5 @ (binintersect @ X4 @ X3)))) | (binintersectER != $true))), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK527,sK528,sK529])],[f1986,f1987])). 1.53/0.85 thf(f1987,plain,( 1.53/0.85 ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ($true = (in @ X2 @ (binintersect @ X1 @ X0)))) => (($true != (in @ sK529 @ sK527)) & ($true = (in @ sK529 @ (binintersect @ sK528 @ sK527))))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1986,plain,( 1.53/0.85 ((binintersectER = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ($true = (in @ X2 @ (binintersect @ X1 @ X0))))) & (! [X3,X4,X5] : (($true = (in @ X5 @ X3)) | ($true != (in @ X5 @ (binintersect @ X4 @ X3)))) | (binintersectER != $true))), 1.53/0.85 inference(rectify,[],[f1985])). 1.53/0.85 thf(f1985,plain,( 1.53/0.85 ((binintersectER = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ($true = (in @ X2 @ (binintersect @ X1 @ X0))))) & (! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ($true != (in @ X2 @ (binintersect @ X1 @ X0)))) | (binintersectER != $true))), 1.53/0.85 inference(nnf_transformation,[],[f1161])). 1.53/0.85 thf(f1161,plain,( 1.53/0.85 (binintersectER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ($true != (in @ X2 @ (binintersect @ X1 @ X0))))), 1.53/0.85 inference(ennf_transformation,[],[f382])). 1.53/0.85 thf(f382,plain,( 1.53/0.85 (binintersectER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ (binintersect @ X1 @ X0))) => ($true = (in @ X2 @ X0)))), 1.53/0.85 inference(fool_elimination,[],[f381])). 1.53/0.85 thf(f381,plain,( 1.53/0.85 (! [X0,X1,X2] : ((in @ X2 @ (binintersect @ X1 @ X0)) => (in @ X2 @ X0)) = binintersectER)), 1.53/0.85 inference(rectify,[],[f114])). 1.53/0.85 thf(f114,axiom,( 1.53/0.85 (! [X4,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X4)) = binintersectER)), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',binintersectER)). 1.53/0.85 thf(f4630,plain,( 1.53/0.85 spl866_14), 1.53/0.85 inference(avatar_split_clause,[],[f4301,f4307])). 1.53/0.85 thf(f4301,plain,( 1.53/0.85 ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f4300])). 1.53/0.85 thf(f4300,plain,( 1.53/0.85 ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18))) | ($true != $true)), 1.53/0.85 inference(forward_demodulation,[],[f4299,f2557])). 1.53/0.85 thf(f2557,plain,( 1.53/0.85 (setminusERneg = $true)), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f4299,plain,( 1.53/0.85 (setminusERneg != $true) | ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f4298])). 1.53/0.85 thf(f4298,plain,( 1.53/0.85 (setminusERneg != $true) | ($true != $true) | ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18)))), 1.53/0.85 inference(forward_demodulation,[],[f4222,f2742])). 1.53/0.85 thf(f2742,plain,( 1.53/0.85 ($true = (in @ sK19 @ sK17))), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f4222,plain,( 1.53/0.85 ($true != (in @ sK19 @ sK17)) | ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18))) | (setminusERneg != $true)), 1.53/0.85 inference(trivial_inequality_removal,[],[f4214])). 1.53/0.85 thf(f4214,plain,( 1.53/0.85 ($true = (in @ sK19 @ (binintersect @ sK16 @ sK18))) | ($true != (in @ sK19 @ sK17)) | (setminusERneg != $true) | ($true != $true)), 1.53/0.85 inference(superposition,[],[f2743,f3930])). 1.53/0.85 thf(f3930,plain,( 1.53/0.85 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true = (in @ X0 @ X2)) | (setminusERneg != $true) | ($true != (in @ X0 @ X1))) )), 1.53/0.85 inference(cnf_transformation,[],[f2495])). 1.53/0.85 thf(f2495,plain,( 1.53/0.85 (! [X0,X1,X2] : (($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1))) | (setminusERneg != $true)) & ((setminusERneg = $true) | (($true != (in @ sK851 @ sK853)) & ((in @ sK851 @ (setminus @ sK852 @ sK853)) != $true) & ((in @ sK851 @ sK852) = $true)))), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK851,sK852,sK853])],[f2493,f2494])). 1.53/0.85 thf(f2494,plain,( 1.53/0.85 ? [X3,X4,X5] : (($true != (in @ X3 @ X5)) & ($true != (in @ X3 @ (setminus @ X4 @ X5))) & ($true = (in @ X3 @ X4))) => (($true != (in @ sK851 @ sK853)) & ((in @ sK851 @ (setminus @ sK852 @ sK853)) != $true) & ((in @ sK851 @ sK852) = $true))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f2493,plain,( 1.53/0.85 (! [X0,X1,X2] : (($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1))) | (setminusERneg != $true)) & ((setminusERneg = $true) | ? [X3,X4,X5] : (($true != (in @ X3 @ X5)) & ($true != (in @ X3 @ (setminus @ X4 @ X5))) & ($true = (in @ X3 @ X4))))), 1.53/0.85 inference(rectify,[],[f2492])). 1.53/0.85 thf(f2492,plain,( 1.53/0.85 (! [X0,X1,X2] : (($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1))) | (setminusERneg != $true)) & ((setminusERneg = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ X2)) & ($true != (in @ X0 @ (setminus @ X1 @ X2))) & ($true = (in @ X0 @ X1))))), 1.53/0.85 inference(nnf_transformation,[],[f1160])). 1.53/0.85 thf(f1160,plain,( 1.53/0.85 ! [X0,X1,X2] : (($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1))) <=> (setminusERneg = $true)), 1.53/0.85 inference(flattening,[],[f1159])). 1.53/0.85 thf(f1159,plain,( 1.53/0.85 ! [X0,X1,X2] : ((($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ X1))) | ($true = (in @ X0 @ (setminus @ X1 @ X2)))) <=> (setminusERneg = $true)), 1.53/0.85 inference(ennf_transformation,[],[f851])). 1.53/0.85 thf(f851,plain,( 1.53/0.85 ! [X0,X1,X2] : (($true != (in @ X0 @ (setminus @ X1 @ X2))) => (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ X2)))) <=> (setminusERneg = $true)), 1.53/0.85 inference(flattening,[],[f656])). 1.53/0.85 thf(f656,plain,( 1.53/0.85 (setminusERneg = $true) <=> ! [X0,X1,X2] : (~($true = (in @ X0 @ (setminus @ X1 @ X2))) => (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ X2))))), 1.53/0.85 inference(fool_elimination,[],[f655])). 1.53/0.85 thf(f655,plain,( 1.53/0.85 (setminusERneg = ! [X0,X1,X2] : (~(in @ X0 @ (setminus @ X1 @ X2)) => ((in @ X0 @ X1) => (in @ X0 @ X2))))), 1.53/0.85 inference(rectify,[],[f124])). 1.53/0.85 thf(f124,axiom,( 1.53/0.85 (setminusERneg = ! [X1,X3,X4] : (~(in @ X1 @ (setminus @ X3 @ X4)) => ((in @ X1 @ X3) => (in @ X1 @ X4))))), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',setminusERneg)). 1.53/0.85 thf(f4338,plain,( 1.53/0.85 spl866_10 | spl866_13), 1.53/0.85 inference(avatar_split_clause,[],[f4337,f4294,f4269])). 1.53/0.85 thf(f4337,plain,( 1.53/0.85 ($true = (in @ sK19 @ (setminus @ sK17 @ sK18))) | ($true = (in @ sK19 @ (setminus @ sK17 @ sK16)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f4336])). 1.53/0.85 thf(f4336,plain,( 1.53/0.85 ($true = (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true = (in @ sK19 @ (setminus @ sK17 @ sK18))) | ($true != $true)), 1.53/0.85 inference(forward_demodulation,[],[f4324,f2561])). 1.53/0.85 thf(f2561,plain,( 1.53/0.85 (binunionE = $true)), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f4324,plain,( 1.53/0.85 ($true = (in @ sK19 @ (setminus @ sK17 @ sK18))) | (binunionE != $true) | ($true = (in @ sK19 @ (setminus @ sK17 @ sK16)))), 1.53/0.85 inference(trivial_inequality_removal,[],[f4314])). 1.53/0.85 thf(f4314,plain,( 1.53/0.85 ($true = (in @ sK19 @ (setminus @ sK17 @ sK16))) | ($true = (in @ sK19 @ (setminus @ sK17 @ sK18))) | (binunionE != $true) | ($true != $true)), 1.53/0.85 inference(superposition,[],[f2931,f2744])). 1.53/0.85 thf(f2744,plain,( 1.53/0.85 ($true = (in @ sK19 @ (binunion @ (setminus @ sK17 @ sK16) @ (setminus @ sK17 @ sK18))))), 1.53/0.85 inference(cnf_transformation,[],[f1216])). 1.53/0.85 thf(f2931,plain,( 1.53/0.85 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X3 @ (binunion @ X5 @ X4))) | ($true = (in @ X3 @ X4)) | ($true = (in @ X3 @ X5)) | (binunionE != $true)) )), 1.53/0.85 inference(cnf_transformation,[],[f1373])). 1.53/0.85 thf(f1373,plain,( 1.53/0.85 ((binunionE = $true) | (($true != (in @ sK121 @ sK122)) & ((in @ sK121 @ (binunion @ sK123 @ sK122)) = $true) & ($true != (in @ sK121 @ sK123)))) & (! [X3,X4,X5] : (($true = (in @ X3 @ X4)) | ($true != (in @ X3 @ (binunion @ X5 @ X4))) | ($true = (in @ X3 @ X5))) | (binunionE != $true))), 1.53/0.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK121,sK122,sK123])],[f1371,f1372])). 1.53/0.85 thf(f1372,plain,( 1.53/0.85 ? [X0,X1,X2] : (($true != (in @ X0 @ X1)) & ($true = (in @ X0 @ (binunion @ X2 @ X1))) & ($true != (in @ X0 @ X2))) => (($true != (in @ sK121 @ sK122)) & ((in @ sK121 @ (binunion @ sK123 @ sK122)) = $true) & ($true != (in @ sK121 @ sK123)))), 1.53/0.85 introduced(choice_axiom,[])). 1.53/0.85 thf(f1371,plain,( 1.53/0.85 ((binunionE = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ X1)) & ($true = (in @ X0 @ (binunion @ X2 @ X1))) & ($true != (in @ X0 @ X2)))) & (! [X3,X4,X5] : (($true = (in @ X3 @ X4)) | ($true != (in @ X3 @ (binunion @ X5 @ X4))) | ($true = (in @ X3 @ X5))) | (binunionE != $true))), 1.53/0.85 inference(rectify,[],[f1370])). 1.53/0.85 thf(f1370,plain,( 1.53/0.85 ((binunionE = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ X1)) & ($true = (in @ X0 @ (binunion @ X2 @ X1))) & ($true != (in @ X0 @ X2)))) & (! [X0,X1,X2] : (($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ (binunion @ X2 @ X1))) | ($true = (in @ X0 @ X2))) | (binunionE != $true))), 1.53/0.85 inference(nnf_transformation,[],[f1076])). 1.53/0.85 thf(f1076,plain,( 1.53/0.85 (binunionE = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ X1)) | ($true != (in @ X0 @ (binunion @ X2 @ X1))) | ($true = (in @ X0 @ X2)))), 1.53/0.85 inference(flattening,[],[f1075])). 1.53/0.85 thf(f1075,plain,( 1.53/0.85 (binunionE = $true) <=> ! [X0,X1,X2] : ((($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ X1))) | ($true != (in @ X0 @ (binunion @ X2 @ X1))))), 1.53/0.85 inference(ennf_transformation,[],[f496])). 1.53/0.85 thf(f496,plain,( 1.53/0.85 (binunionE = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ (binunion @ X2 @ X1))) => (($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ X1))))), 1.53/0.85 inference(fool_elimination,[],[f495])). 1.53/0.85 thf(f495,plain,( 1.53/0.85 (! [X0,X1,X2] : ((in @ X0 @ (binunion @ X2 @ X1)) => ((in @ X0 @ X1) | (in @ X0 @ X2))) = binunionE)), 1.53/0.85 inference(rectify,[],[f105])). 1.53/0.85 thf(f105,axiom,( 1.53/0.85 (! [X1,X4,X3] : ((in @ X1 @ (binunion @ X3 @ X4)) => ((in @ X1 @ X4) | (in @ X1 @ X3))) = binunionE)), 1.53/0.85 file('/export/starexec/sandbox/tmp/tmp.gQzTR4qWoB/E---3.1_4850.p',binunionE)). 1.53/0.85 % SZS output end Proof for E---3.1_4850 1.53/0.85 % (4984)------------------------------ 1.53/0.85 % (4984)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.53/0.85 % (4984)Termination reason: Refutation 1.53/0.85 1.53/0.85 % (4984)Memory used [KB]: 11641 1.53/0.85 % (4984)Time elapsed: 0.288 s 1.53/0.85 % (4984)Instructions burned: 576 (million) 1.53/0.85 % (4984)------------------------------ 1.53/0.85 % (4984)------------------------------ 1.53/0.85 % (4959)Success in time 0.404 s 1.53/0.85 EOF