0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.11	% Command    : run_vampire %s %d THM
0.11/0.32	% Computer : n017.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 1920
0.11/0.32	% WCLimit    : 240
0.11/0.32	% DateTime   : Wed Jul 30 03:54:49 EDT 2025
0.11/0.32	% CPUTime    : 
0.11/0.33	This is a THF_ problem
0.11/0.34	Running higher-order theorem proving
0.11/0.36	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.eP0Ylz3ZPD/E---3.1_16325.p -m 16384 -t 240
0.21/0.39	% (16444)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_16325 for (2399ds/275Mi)
0.21/0.39	% (16439)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/183Mi)
0.21/0.39	% (16442)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/2Mi)
0.21/0.39	% (16445)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/18Mi)
0.21/0.39	% (16443)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_16325 for (2399ds/2Mi)
0.21/0.39	% (16440)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_16325 for (2399ds/4Mi)
0.21/0.39	% (16441)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_16325 for (2399ds/27Mi)
0.21/0.39	% (16442)Instruction limit reached!
0.21/0.39	% (16442)------------------------------
0.21/0.39	% (16442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.40	% (16442)Termination reason: Unknown
0.21/0.40	% (16443)Instruction limit reached!
0.21/0.40	% (16443)------------------------------
0.21/0.40	% (16443)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.40	% (16443)Termination reason: Unknown
0.21/0.40	% (16443)Termination phase: shuffling
0.21/0.40	
0.21/0.40	% (16443)Memory used [KB]: 1279
0.21/0.40	% (16443)Time elapsed: 0.004 s
0.21/0.40	% (16443)Instructions burned: 4 (million)
0.21/0.40	% (16443)------------------------------
0.21/0.40	% (16443)------------------------------
0.21/0.40	% (16442)Termination phase: shuffling
0.21/0.40	
0.21/0.40	% (16442)Memory used [KB]: 1279
0.21/0.40	% (16442)Time elapsed: 0.004 s
0.21/0.40	% (16442)Instructions burned: 3 (million)
0.21/0.40	% (16442)------------------------------
0.21/0.40	% (16442)------------------------------
0.21/0.40	% (16440)Instruction limit reached!
0.21/0.40	% (16440)------------------------------
0.21/0.40	% (16440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.40	% (16440)Termination reason: Unknown
0.21/0.40	% (16440)Termination phase: shuffling
0.21/0.40	
0.21/0.40	% (16440)Memory used [KB]: 1407
0.21/0.40	% (16440)Time elapsed: 0.005 s
0.21/0.40	% (16440)Instructions burned: 5 (million)
0.21/0.40	% (16440)------------------------------
0.21/0.40	% (16440)------------------------------
0.21/0.40	% (16445)Instruction limit reached!
0.21/0.40	% (16445)------------------------------
0.21/0.40	% (16445)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.40	% (16445)Termination reason: Unknown
0.21/0.40	% (16445)Termination phase: Property scanning
0.21/0.40	
0.21/0.40	% (16445)Memory used [KB]: 1663
0.21/0.40	% (16445)Time elapsed: 0.012 s
0.21/0.40	% (16445)Instructions burned: 20 (million)
0.21/0.40	% (16445)------------------------------
0.21/0.40	% (16445)------------------------------
0.21/0.41	% (16441)Instruction limit reached!
0.21/0.41	% (16441)------------------------------
0.21/0.41	% (16441)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.41	% (16441)Termination reason: Unknown
0.21/0.41	% (16441)Termination phase: shuffling
0.21/0.41	
0.21/0.41	% (16441)Memory used [KB]: 1663
0.21/0.41	% (16441)Time elapsed: 0.016 s
0.21/0.41	% (16441)Instructions burned: 28 (million)
0.21/0.41	% (16441)------------------------------
0.21/0.41	% (16441)------------------------------
0.21/0.41	% (16449)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_16325 for (2399ds/15Mi)
0.21/0.41	% (16448)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_16325 for (2399ds/37Mi)
0.21/0.41	% (16447)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_16325 for (2399ds/3Mi)
0.21/0.41	% (16447)Instruction limit reached!
0.21/0.41	% (16447)------------------------------
0.21/0.41	% (16447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.41	% (16447)Termination reason: Unknown
0.21/0.41	% (16447)Termination phase: shuffling
0.21/0.41	
0.21/0.41	% (16447)Memory used [KB]: 1279
0.21/0.41	% (16447)Time elapsed: 0.004 s
0.21/0.41	% (16447)Instructions burned: 4 (million)
0.21/0.41	% (16447)------------------------------
0.21/0.41	% (16447)------------------------------
0.21/0.42	% (16449)Instruction limit reached!
0.21/0.42	% (16449)------------------------------
0.21/0.42	% (16449)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.42	% (16449)Termination reason: Unknown
0.21/0.42	% (16449)Termination phase: Property scanning
0.21/0.42	
0.21/0.42	% (16449)Memory used [KB]: 1663
0.21/0.42	% (16449)Time elapsed: 0.010 s
0.21/0.42	% (16449)Instructions burned: 15 (million)
0.21/0.42	% (16449)------------------------------
0.21/0.42	% (16449)------------------------------
0.21/0.42	% (16450)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_16325 for (2399ds/3Mi)
0.21/0.42	% (16450)Instruction limit reached!
0.21/0.42	% (16450)------------------------------
0.21/0.42	% (16450)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.42	% (16450)Termination reason: Unknown
0.21/0.42	% (16450)Termination phase: shuffling
0.21/0.42	
0.21/0.42	% (16450)Memory used [KB]: 1279
0.21/0.42	% (16450)Time elapsed: 0.004 s
0.21/0.42	% (16450)Instructions burned: 4 (million)
0.21/0.42	% (16450)------------------------------
0.21/0.42	% (16450)------------------------------
0.21/0.42	% (16451)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_16325 for (2399ds/1041Mi)
0.21/0.43	% (16452)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/7Mi)
0.21/0.43	% (16448)Instruction limit reached!
0.21/0.43	% (16448)------------------------------
0.21/0.43	% (16448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.43	% (16448)Termination reason: Unknown
0.21/0.43	% (16448)Termination phase: Property scanning
0.21/0.43	
0.21/0.43	% (16448)Memory used [KB]: 2046
0.21/0.43	% (16448)Time elapsed: 0.019 s
0.21/0.43	% (16448)Instructions burned: 37 (million)
0.21/0.43	% (16448)------------------------------
0.21/0.43	% (16448)------------------------------
0.21/0.43	% (16452)Instruction limit reached!
0.21/0.43	% (16452)------------------------------
0.21/0.43	% (16452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.43	% (16452)Termination reason: Unknown
0.21/0.43	% (16452)Termination phase: shuffling
0.21/0.43	
0.21/0.43	% (16452)Memory used [KB]: 1407
0.21/0.43	% (16452)Time elapsed: 0.006 s
0.21/0.43	% (16452)Instructions burned: 8 (million)
0.21/0.43	% (16452)------------------------------
0.21/0.43	% (16452)------------------------------
0.21/0.43	% (16453)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/16Mi)
0.21/0.43	% (16454)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_16325 for (2399ds/3Mi)
0.21/0.44	% (16454)Instruction limit reached!
0.21/0.44	% (16454)------------------------------
0.21/0.44	% (16454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.44	% (16454)Termination reason: Unknown
0.21/0.44	% (16454)Termination phase: shuffling
0.21/0.44	
0.21/0.44	% (16454)Memory used [KB]: 1279
0.21/0.44	% (16454)Time elapsed: 0.004 s
0.21/0.44	% (16454)Instructions burned: 4 (million)
0.21/0.44	% (16454)------------------------------
0.21/0.44	% (16454)------------------------------
0.21/0.44	% (16453)Instruction limit reached!
0.21/0.44	% (16453)------------------------------
0.21/0.44	% (16453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.44	% (16453)Termination reason: Unknown
0.21/0.44	% (16453)Termination phase: Property scanning
0.21/0.44	
0.21/0.44	% (16453)Memory used [KB]: 1663
0.21/0.44	% (16453)Time elapsed: 0.011 s
0.21/0.44	% (16453)Instructions burned: 16 (million)
0.21/0.44	% (16453)------------------------------
0.21/0.44	% (16453)------------------------------
0.21/0.44	% (16455)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_16325 for (2399ds/3Mi)
0.21/0.44	% (16456)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_16325 for (2399ds/7Mi)
0.21/0.44	% (16455)Instruction limit reached!
0.21/0.44	% (16455)------------------------------
0.21/0.44	% (16455)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.44	% (16455)Termination reason: Unknown
0.21/0.44	% (16455)Termination phase: shuffling
0.21/0.44	
0.21/0.44	% (16455)Memory used [KB]: 1279
0.21/0.44	% (16455)Time elapsed: 0.004 s
0.21/0.44	% (16455)Instructions burned: 3 (million)
0.21/0.44	% (16455)------------------------------
0.21/0.44	% (16455)------------------------------
0.21/0.45	% (16456)Instruction limit reached!
0.21/0.45	% (16456)------------------------------
0.21/0.45	% (16456)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.45	% (16456)Termination reason: Unknown
0.21/0.45	% (16456)Termination phase: shuffling
0.21/0.45	
0.21/0.45	% (16456)Memory used [KB]: 1407
0.21/0.45	% (16456)Time elapsed: 0.005 s
0.21/0.45	% (16456)Instructions burned: 7 (million)
0.21/0.45	% (16456)------------------------------
0.21/0.45	% (16456)------------------------------
0.21/0.45	% (16457)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_16325 for (2399ds/3Mi)
0.21/0.45	% (16457)Instruction limit reached!
0.21/0.45	% (16457)------------------------------
0.21/0.45	% (16457)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.45	% (16457)Termination reason: Unknown
0.21/0.45	% (16457)Termination phase: shuffling
0.21/0.45	
0.21/0.45	% (16457)Memory used [KB]: 1279
0.21/0.45	% (16457)Time elapsed: 0.004 s
0.21/0.45	% (16457)Instructions burned: 3 (million)
0.21/0.45	% (16457)------------------------------
0.21/0.45	% (16457)------------------------------
0.21/0.46	% (16458)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/4Mi)
0.21/0.46	% (16459)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_16325 for (2399ds/18Mi)
0.21/0.46	% (16460)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/710Mi)
0.21/0.46	% (16458)Instruction limit reached!
0.21/0.46	% (16458)------------------------------
0.21/0.46	% (16458)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.46	% (16458)Termination reason: Unknown
0.21/0.46	% (16458)Termination phase: shuffling
0.21/0.46	
0.21/0.46	% (16458)Memory used [KB]: 1407
0.21/0.46	% (16458)Time elapsed: 0.005 s
0.21/0.46	% (16458)Instructions burned: 5 (million)
0.21/0.46	% (16458)------------------------------
0.21/0.46	% (16458)------------------------------
0.21/0.47	% (16461)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/6Mi)
0.21/0.47	% (16459)Instruction limit reached!
0.21/0.47	% (16459)------------------------------
0.21/0.47	% (16459)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.47	% (16459)Termination reason: Unknown
0.21/0.47	% (16459)Termination phase: Property scanning
0.21/0.47	
0.21/0.47	% (16459)Memory used [KB]: 1663
0.21/0.47	% (16459)Time elapsed: 0.012 s
0.21/0.47	% (16459)Instructions burned: 20 (million)
0.21/0.47	% (16459)------------------------------
0.21/0.47	% (16459)------------------------------
0.21/0.47	% (16461)Instruction limit reached!
0.21/0.47	% (16461)------------------------------
0.21/0.47	% (16461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.47	% (16461)Termination reason: Unknown
0.21/0.47	% (16461)Termination phase: shuffling
0.21/0.47	
0.21/0.47	% (16461)Memory used [KB]: 1407
0.21/0.47	% (16461)Time elapsed: 0.005 s
0.21/0.47	% (16461)Instructions burned: 6 (million)
0.21/0.47	% (16461)------------------------------
0.21/0.47	% (16461)------------------------------
0.21/0.47	% (16462)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_16325 for (2399ds/902Mi)
0.21/0.48	% (16439)Instruction limit reached!
0.21/0.48	% (16439)------------------------------
0.21/0.48	% (16439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.48	% (16439)Termination reason: Unknown
0.21/0.48	% (16439)Termination phase: Saturation
0.21/0.48	
0.21/0.48	% (16439)Memory used [KB]: 7164
0.21/0.48	% (16439)Time elapsed: 0.090 s
0.21/0.48	% (16439)Instructions burned: 183 (million)
0.21/0.48	% (16439)------------------------------
0.21/0.48	% (16439)------------------------------
0.21/0.48	% (16463)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_16325 for (2399ds/21Mi)
0.21/0.49	% (16464)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_16325 for (2399ds/5Mi)
0.21/0.49	% (16464)Instruction limit reached!
0.21/0.49	% (16464)------------------------------
0.21/0.49	% (16464)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.49	% (16464)Termination reason: Unknown
0.21/0.49	% (16464)Termination phase: shuffling
0.21/0.49	
0.21/0.49	% (16464)Memory used [KB]: 1407
0.21/0.49	% (16464)Time elapsed: 0.005 s
0.21/0.49	% (16464)Instructions burned: 7 (million)
0.21/0.49	% (16464)------------------------------
0.21/0.49	% (16464)------------------------------
0.21/0.49	% (16463)Instruction limit reached!
0.21/0.49	% (16463)------------------------------
0.21/0.49	% (16463)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.49	% (16463)Termination reason: Unknown
0.21/0.49	% (16463)Termination phase: Property scanning
0.21/0.49	
0.21/0.49	% (16463)Memory used [KB]: 1663
0.21/0.49	% (16463)Time elapsed: 0.013 s
0.21/0.49	% (16463)Instructions burned: 21 (million)
0.21/0.49	% (16463)------------------------------
0.21/0.49	% (16463)------------------------------
0.21/0.50	% (16465)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_16325 for (2399ds/6Mi)
0.21/0.50	% (16465)Instruction limit reached!
0.21/0.50	% (16465)------------------------------
0.21/0.50	% (16465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.50	% (16465)Termination reason: Unknown
0.21/0.50	% (16465)Termination phase: shuffling
0.21/0.50	
0.21/0.50	% (16465)Memory used [KB]: 1407
0.21/0.50	% (16465)Time elapsed: 0.005 s
0.21/0.50	% (16465)Instructions burned: 7 (million)
0.21/0.50	% (16465)------------------------------
0.21/0.50	% (16465)------------------------------
0.21/0.50	% (16466)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_16325 for (2398ds/377Mi)
0.21/0.51	% (16467)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_16325 for (2398ds/779Mi)
1.09/0.52	% (16468)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_16325 for (2398ds/19Mi)
1.09/0.52	% (16468)Instruction limit reached!
1.09/0.52	% (16468)------------------------------
1.09/0.52	% (16468)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.09/0.52	% (16468)Termination reason: Unknown
1.09/0.52	% (16468)Termination phase: shuffling
1.09/0.52	
1.09/0.52	% (16468)Memory used [KB]: 1663
1.09/0.52	% (16468)Time elapsed: 0.011 s
1.09/0.52	% (16468)Instructions burned: 19 (million)
1.09/0.52	% (16468)------------------------------
1.09/0.52	% (16468)------------------------------
1.09/0.53	% (16444)First to succeed.
1.09/0.53	% (16444)Refutation found. Thanks to Tanya!
1.09/0.53	% SZS status Theorem for E---3.1_16325
1.09/0.53	% SZS output start Proof for E---3.1_16325
1.09/0.53	thf(type_def_5, type, nat: $tType).
1.09/0.53	thf(type_def_7, type, set_nat: $tType).
1.09/0.53	thf(type_def_8, type, set_set_nat: $tType).
1.09/0.53	thf(func_def_0, type, set_set_nat: $tType).
1.09/0.53	thf(func_def_1, type, set_nat: $tType).
1.09/0.53	thf(func_def_2, type, nat: $tType).
1.09/0.53	thf(func_def_3, type, one_one_nat: nat).
1.09/0.53	thf(func_def_4, type, times_times_nat: nat > nat > nat).
1.09/0.53	thf(func_def_5, type, zero_zero_nat: nat).
1.09/0.53	thf(func_def_6, type, groups1842438620at_nat: (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_7, type, number1551313001itions: (nat > nat) > nat > $o).
1.09/0.53	thf(func_def_8, type, ord_less_nat: nat > nat > $o).
1.09/0.53	thf(func_def_9, type, ord_less_set_nat: set_nat > set_nat > $o).
1.09/0.53	thf(func_def_10, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o).
1.09/0.53	thf(func_def_11, type, ord_less_eq_nat: nat > nat > $o).
1.09/0.53	thf(func_def_12, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
1.09/0.53	thf(func_def_13, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o).
1.09/0.53	thf(func_def_14, type, collect_nat: (nat > $o) > set_nat).
1.09/0.53	thf(func_def_15, type, collect_set_nat: (set_nat > $o) > set_set_nat).
1.09/0.53	thf(func_def_16, type, set_ord_atMost_nat: nat > set_nat).
1.09/0.53	thf(func_def_17, type, set_or1086813439et_nat: set_nat > set_set_nat).
1.09/0.53	thf(func_def_18, type, member_nat: nat > set_nat > $o).
1.09/0.53	thf(func_def_19, type, member_set_nat: set_nat > set_set_nat > $o).
1.09/0.53	thf(func_def_20, type, p: nat > nat).
1.09/0.53	thf(func_def_35, type, sP0: set_nat > (nat > nat) > (nat > nat) > $o).
1.09/0.53	thf(func_def_36, type, sP1: (nat > nat) > (nat > nat) > (nat > nat) > set_nat > $o).
1.09/0.53	thf(func_def_37, type, sP2: nat > nat > nat > $o).
1.09/0.53	thf(func_def_38, type, sP3: nat > nat > nat > $o).
1.09/0.53	thf(func_def_39, type, sP4: nat > nat > nat > $o).
1.09/0.53	thf(func_def_40, type, sK5: (nat > nat) > nat).
1.09/0.53	thf(func_def_41, type, sK6: (nat > nat) > nat).
1.09/0.53	thf(func_def_42, type, sK7: (nat > nat) > set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat).
1.09/0.53	thf(func_def_43, type, sK8: (nat > nat) > set_nat > set_nat > (nat > nat) > nat).
1.09/0.53	thf(func_def_44, type, sK9: (nat > $o) > (nat > $o) > nat).
1.09/0.53	thf(func_def_45, type, sK10: (nat > nat) > nat).
1.09/0.53	thf(func_def_46, type, sK11: (nat > nat) > nat).
1.09/0.53	thf(func_def_47, type, sK12: (nat > $o) > (nat > $o) > nat).
1.09/0.53	thf(func_def_48, type, sK13: (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_49, type, sK14: (nat > nat) > nat).
1.09/0.53	thf(func_def_50, type, sK15: (nat > nat) > nat).
1.09/0.53	thf(func_def_51, type, sK16: set_nat > (nat > nat) > nat).
1.09/0.53	thf(func_def_52, type, sK17: set_nat > set_nat > nat).
1.09/0.53	thf(func_def_53, type, sK18: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_54, type, sK19: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_55, type, sK20: (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_56, type, sK21: (nat > nat) > nat).
1.09/0.53	thf(func_def_57, type, sK22: (nat > nat) > nat).
1.09/0.53	thf(func_def_58, type, sK23: (nat > nat) > nat).
1.09/0.53	thf(func_def_59, type, sK24: (nat > nat) > nat).
1.09/0.53	thf(func_def_60, type, sK25: (nat > nat) > set_nat > set_nat > nat).
1.09/0.53	thf(func_def_61, type, sK26: nat > (nat > nat) > set_nat > set_nat > nat).
1.09/0.53	thf(func_def_62, type, sK27: (nat > nat) > set_nat > (nat > nat) > set_nat > (nat > nat) > nat).
1.09/0.53	thf(func_def_63, type, sK28: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_64, type, sK29: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_65, type, sK30: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_66, type, sK31: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_67, type, sK32: (nat > nat) > nat).
1.09/0.53	thf(func_def_68, type, sK33: (nat > nat) > nat).
1.09/0.53	thf(func_def_69, type, sK34: (nat > $o) > nat > nat).
1.09/0.53	thf(func_def_70, type, sK35: (nat > $o) > nat).
1.09/0.53	thf(func_def_71, type, sK36: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_72, type, sK37: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_73, type, sK38: (nat > $o) > nat).
1.09/0.53	thf(func_def_74, type, sK39: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_75, type, sK40: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_76, type, sK41: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_77, type, sK42: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_78, type, sK43: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_79, type, sK44: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_80, type, sK45: (nat > nat) > set_nat > (nat > nat) > nat).
1.09/0.53	thf(func_def_81, type, sK46: (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_82, type, sK47: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_83, type, sK48: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_84, type, sK49: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_85, type, sK50: (set_nat > set_nat) > set_nat).
1.09/0.53	thf(func_def_86, type, sK51: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_87, type, sK52: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_88, type, sK53: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_89, type, sK54: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_90, type, sK55: (nat > $o) > nat).
1.09/0.53	thf(func_def_91, type, sK56: nat > (nat > $o) > nat).
1.09/0.53	thf(func_def_92, type, sK57: (nat > nat) > nat).
1.09/0.53	thf(func_def_93, type, sK58: (nat > nat) > nat).
1.09/0.53	thf(func_def_94, type, sK59: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_95, type, sK60: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_96, type, sK61: (nat > nat) > (nat > nat) > (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_97, type, sK62: set_nat > (nat > nat) > (nat > nat) > nat).
1.09/0.53	thf(func_def_98, type, sK63: (nat > nat) > set_nat > set_nat > nat).
1.09/0.53	thf(func_def_99, type, sK64: (nat > nat) > (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_100, type, sK65: (nat > nat) > set_nat > set_nat > nat).
1.09/0.53	thf(func_def_101, type, sK66: (nat > $o) > nat).
1.09/0.53	thf(func_def_102, type, sK67: nat).
1.09/0.53	thf(func_def_103, type, sK68: (nat > $o) > (nat > $o) > set_nat > nat).
1.09/0.53	thf(func_def_104, type, sK69: (nat > nat) > nat).
1.09/0.53	thf(func_def_105, type, sK70: (nat > nat) > nat).
1.09/0.53	thf(func_def_106, type, sK71: (nat > nat) > (nat > nat) > set_nat > nat).
1.09/0.53	thf(func_def_107, type, sK72: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_108, type, sK73: (set_nat > nat) > set_nat).
1.09/0.53	thf(func_def_109, type, sK74: (nat > $o) > set_nat > nat).
1.09/0.53	thf(func_def_110, type, sK75: nat > nat).
1.09/0.53	thf(func_def_111, type, sK76: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_112, type, sK77: (nat > set_nat) > nat).
1.09/0.53	thf(func_def_113, type, sK78: (nat > nat) > nat).
1.09/0.53	thf(func_def_114, type, sK79: (nat > nat) > nat).
1.09/0.53	thf(func_def_115, type, sK80: (nat > $o) > (nat > $o) > nat).
1.09/0.53	thf(func_def_116, type, sK81: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_117, type, sK82: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_118, type, sK83: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_119, type, sK84: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_120, type, sK85: (nat > nat > $o) > nat).
1.09/0.53	thf(func_def_122, type, ph87: !>[X0: $tType]:(X0)).
1.09/0.53	thf(func_def_123, type, sK88: nat).
1.09/0.53	thf(f2246,plain,(
1.09/0.53	  $false),
1.09/0.53	  inference(avatar_sat_refutation,[],[f1654,f1658,f1676,f1959,f1964,f2245])).
1.09/0.53	thf(f2245,plain,(
1.09/0.53	  ~spl86_1 | spl86_2 | ~spl86_3),
1.09/0.53	  inference(avatar_contradiction_clause,[],[f2244])).
1.09/0.53	thf(f2244,plain,(
1.09/0.53	  $false | (~spl86_1 | spl86_2 | ~spl86_3)),
1.09/0.53	  inference(subsumption_resolution,[],[f2243,f2013])).
1.09/0.53	thf(f2013,plain,(
1.09/0.53	  (zero_zero_nat = (p @ zero_zero_nat)) | ~spl86_1),
1.09/0.53	  inference(subsumption_resolution,[],[f2012,f1477])).
1.09/0.53	thf(f1477,plain,(
1.09/0.53	  (one_one_nat != zero_zero_nat)),
1.09/0.53	  inference(cnf_transformation,[],[f88])).
1.09/0.53	thf(f88,axiom,(
1.09/0.53	  (one_one_nat != zero_zero_nat)),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_39_zero__neq__one)).
1.09/0.53	thf(f2012,plain,(
1.09/0.53	  (zero_zero_nat = (p @ zero_zero_nat)) | (one_one_nat = zero_zero_nat) | ~spl86_1),
1.09/0.53	  inference(trivial_inequality_removal,[],[f1996])).
1.09/0.53	thf(f1996,plain,(
1.09/0.53	  (zero_zero_nat = (p @ zero_zero_nat)) | (one_one_nat = zero_zero_nat) | ($true != $true) | ~spl86_1),
1.09/0.53	  inference(superposition,[],[f1489,f1649])).
1.09/0.53	thf(f1649,plain,(
1.09/0.53	  ( ! [X1 : nat] : (($true = (ord_less_eq_nat @ one_one_nat @ X1)) | (zero_zero_nat = (p @ X1))) ) | ~spl86_1),
1.09/0.53	  inference(avatar_component_clause,[],[f1648])).
1.09/0.53	thf(f1648,plain,(
1.09/0.53	  spl86_1 <=> ! [X1 : nat] : (($true = (ord_less_eq_nat @ one_one_nat @ X1)) | (zero_zero_nat = (p @ X1)))),
1.09/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl86_1])])).
1.09/0.53	thf(f1489,plain,(
1.09/0.53	  ( ! [X0 : nat] : (((ord_less_eq_nat @ X0 @ zero_zero_nat) != $true) | (zero_zero_nat = X0)) )),
1.09/0.53	  inference(cnf_transformation,[],[f1160])).
1.09/0.53	thf(f1160,plain,(
1.09/0.53	  ! [X0 : nat] : (((zero_zero_nat = X0) | ((ord_less_eq_nat @ X0 @ zero_zero_nat) != $true)) & (((ord_less_eq_nat @ X0 @ zero_zero_nat) = $true) | (zero_zero_nat != X0)))),
1.09/0.53	  inference(nnf_transformation,[],[f268])).
1.09/0.53	thf(f268,plain,(
1.09/0.53	  ! [X0 : nat] : ((zero_zero_nat = X0) <=> ((ord_less_eq_nat @ X0 @ zero_zero_nat) = $true))),
1.09/0.53	  inference(fool_elimination,[],[f267])).
1.09/0.53	thf(f267,plain,(
1.09/0.53	  ! [X0 : nat] : ((zero_zero_nat = X0) = (ord_less_eq_nat @ X0 @ zero_zero_nat))),
1.09/0.53	  inference(rectify,[],[f46])).
1.09/0.53	thf(f46,axiom,(
1.09/0.53	  ! [X2 : nat] : ((zero_zero_nat = X2) = (ord_less_eq_nat @ X2 @ zero_zero_nat))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_47_le__0__eq)).
1.09/0.53	thf(f2243,plain,(
1.09/0.53	  (zero_zero_nat != (p @ zero_zero_nat)) | (spl86_2 | ~spl86_3)),
1.09/0.53	  inference(superposition,[],[f1966,f2117])).
1.09/0.53	thf(f2117,plain,(
1.09/0.53	  (zero_zero_nat = sK88) | (spl86_2 | ~spl86_3)),
1.09/0.53	  inference(trivial_inequality_removal,[],[f2072])).
1.09/0.53	thf(f2072,plain,(
1.09/0.53	  (zero_zero_nat != zero_zero_nat) | (zero_zero_nat = sK88) | (spl86_2 | ~spl86_3)),
1.09/0.53	  inference(superposition,[],[f1966,f2054])).
1.09/0.53	thf(f2054,plain,(
1.09/0.53	  ( ! [X0 : nat] : ((zero_zero_nat = (p @ X0)) | (zero_zero_nat = X0)) ) | ~spl86_3),
1.09/0.53	  inference(subsumption_resolution,[],[f2052,f1509])).
1.09/0.53	thf(f1509,plain,(
1.09/0.53	  ( ! [X0 : nat] : (((ord_less_eq_nat @ zero_zero_nat @ X0) = $true)) )),
1.09/0.53	  inference(cnf_transformation,[],[f384])).
1.09/0.53	thf(f384,plain,(
1.09/0.53	  ! [X0 : nat] : ((ord_less_eq_nat @ zero_zero_nat @ X0) = $true)),
1.09/0.53	  inference(fool_elimination,[],[f383])).
1.09/0.53	thf(f383,plain,(
1.09/0.53	  ! [X0 : nat] : (ord_less_eq_nat @ zero_zero_nat @ X0)),
1.09/0.53	  inference(rectify,[],[f36])).
1.09/0.53	thf(f36,axiom,(
1.09/0.53	  ! [X2 : nat] : (ord_less_eq_nat @ zero_zero_nat @ X2)),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_48_less__eq__nat_Osimps_I1_J)).
1.09/0.53	thf(f2052,plain,(
1.09/0.53	  ( ! [X0 : nat] : (((ord_less_eq_nat @ zero_zero_nat @ X0) != $true) | (zero_zero_nat = X0) | (zero_zero_nat = (p @ X0))) ) | ~spl86_3),
1.09/0.53	  inference(trivial_inequality_removal,[],[f2029])).
1.09/0.53	thf(f2029,plain,(
1.09/0.53	  ( ! [X0 : nat] : (((ord_less_eq_nat @ zero_zero_nat @ X0) != $true) | (zero_zero_nat = (p @ X0)) | (zero_zero_nat = X0) | ($true != $true)) ) | ~spl86_3),
1.09/0.53	  inference(superposition,[],[f1231,f1657])).
1.09/0.53	thf(f1657,plain,(
1.09/0.53	  ( ! [X1 : nat] : (($true = (ord_less_eq_nat @ X1 @ zero_zero_nat)) | (zero_zero_nat = (p @ X1))) ) | ~spl86_3),
1.09/0.53	  inference(avatar_component_clause,[],[f1656])).
1.09/0.53	thf(f1656,plain,(
1.09/0.53	  spl86_3 <=> ! [X1 : nat] : ((zero_zero_nat = (p @ X1)) | ($true = (ord_less_eq_nat @ X1 @ zero_zero_nat)))),
1.09/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl86_3])])).
1.09/0.53	thf(f1231,plain,(
1.09/0.53	  ( ! [X0 : nat,X1 : nat] : (($true != (ord_less_eq_nat @ X1 @ X0)) | ((ord_less_eq_nat @ X0 @ X1) != $true) | (X0 = X1)) )),
1.09/0.53	  inference(cnf_transformation,[],[f856])).
1.09/0.53	thf(f856,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) != $true) | (X0 = X1) | ($true != (ord_less_eq_nat @ X1 @ X0)))),
1.09/0.53	  inference(flattening,[],[f855])).
1.09/0.53	thf(f855,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat] : (((X0 = X1) | ((ord_less_eq_nat @ X0 @ X1) != $true)) | ($true != (ord_less_eq_nat @ X1 @ X0)))),
1.09/0.53	  inference(ennf_transformation,[],[f520])).
1.09/0.53	thf(f520,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat] : (($true = (ord_less_eq_nat @ X1 @ X0)) => (((ord_less_eq_nat @ X0 @ X1) = $true) => (X0 = X1)))),
1.09/0.53	  inference(fool_elimination,[],[f519])).
1.09/0.53	thf(f519,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat] : ((ord_less_eq_nat @ X1 @ X0) => ((ord_less_eq_nat @ X0 @ X1) => (X0 = X1)))),
1.09/0.53	  inference(rectify,[],[f33])).
1.09/0.53	thf(f33,axiom,(
1.09/0.53	  ! [X9 : nat,X8 : nat] : ((ord_less_eq_nat @ X8 @ X9) => ((ord_less_eq_nat @ X9 @ X8) => (X8 = X9)))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_111_antisym)).
1.09/0.53	thf(f1966,plain,(
1.09/0.53	  (zero_zero_nat != (p @ sK88)) | spl86_2),
1.09/0.53	  inference(beta_eta_normalization,[],[f1965])).
1.09/0.53	thf(f1965,plain,(
1.09/0.53	  (((^[Y0 : nat]: (zero_zero_nat)) @ sK88) != (p @ sK88)) | spl86_2),
1.09/0.53	  inference(negative_extensionality,[],[f1652])).
1.09/0.53	thf(f1652,plain,(
1.09/0.53	  (p != (^[Y0 : nat]: (zero_zero_nat))) | spl86_2),
1.09/0.53	  inference(avatar_component_clause,[],[f1651])).
1.09/0.53	thf(f1651,plain,(
1.09/0.53	  spl86_2 <=> (p = (^[Y0 : nat]: (zero_zero_nat)))),
1.09/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl86_2])])).
1.09/0.53	thf(f1964,plain,(
1.09/0.53	  ~spl86_2 | spl86_7),
1.09/0.53	  inference(avatar_contradiction_clause,[],[f1963])).
1.09/0.53	thf(f1963,plain,(
1.09/0.53	  $false | (~spl86_2 | spl86_7)),
1.09/0.53	  inference(subsumption_resolution,[],[f1675,f1680])).
1.09/0.53	thf(f1680,plain,(
1.09/0.53	  ( ! [X1 : nat] : ((zero_zero_nat = (p @ X1))) ) | ~spl86_2),
1.09/0.53	  inference(beta_eta_normalization,[],[f1678])).
1.09/0.53	thf(f1678,plain,(
1.09/0.53	  ( ! [X1 : nat] : ((((^[Y0 : nat]: (zero_zero_nat)) @ X1) = (p @ X1))) ) | ~spl86_2),
1.09/0.53	  inference(argument_congruence,[],[f1653])).
1.09/0.53	thf(f1653,plain,(
1.09/0.53	  (p = (^[Y0 : nat]: (zero_zero_nat))) | ~spl86_2),
1.09/0.53	  inference(avatar_component_clause,[],[f1651])).
1.09/0.53	thf(f1675,plain,(
1.09/0.53	  (zero_zero_nat != (p @ sK67)) | spl86_7),
1.09/0.53	  inference(avatar_component_clause,[],[f1673])).
1.09/0.53	thf(f1673,plain,(
1.09/0.53	  spl86_7 <=> (zero_zero_nat = (p @ sK67))),
1.09/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl86_7])])).
1.09/0.53	thf(f1959,plain,(
1.09/0.53	  ~spl86_2 | spl86_6),
1.09/0.53	  inference(avatar_contradiction_clause,[],[f1958])).
1.09/0.53	thf(f1958,plain,(
1.09/0.53	  $false | (~spl86_2 | spl86_6)),
1.09/0.53	  inference(subsumption_resolution,[],[f1957,f1481])).
1.09/0.53	thf(f1481,plain,(
1.09/0.53	  ( ! [X0 : set_nat] : ((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (zero_zero_nat)) @ X0))) )),
1.09/0.53	  inference(cnf_transformation,[],[f573])).
1.09/0.53	thf(f573,plain,(
1.09/0.53	  ! [X0 : set_nat] : (zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (zero_zero_nat)) @ X0))),
1.09/0.53	  inference(fool_elimination,[],[f572])).
1.09/0.53	thf(f572,plain,(
1.09/0.53	  ! [X0 : set_nat] : ((groups1842438620at_nat @ (^[X1 : nat] : (zero_zero_nat)) @ X0) = zero_zero_nat)),
1.09/0.53	  inference(rectify,[],[f212])).
1.09/0.53	thf(f212,axiom,(
1.09/0.53	  ! [X20 : set_nat] : ((groups1842438620at_nat @ (^[X57 : nat] : (zero_zero_nat)) @ X20) = zero_zero_nat)),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_0_sum_Oneutral__const)).
1.09/0.53	thf(f1957,plain,(
1.09/0.53	  (zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (zero_zero_nat)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | (~spl86_2 | spl86_6)),
1.09/0.53	  inference(forward_demodulation,[],[f1956,f1373])).
1.09/0.53	thf(f1373,plain,(
1.09/0.53	  ((times_times_nat @ zero_zero_nat) = (^[Y0 : nat]: (zero_zero_nat)))),
1.09/0.53	  inference(cnf_transformation,[],[f562])).
1.09/0.53	thf(f562,plain,(
1.09/0.53	  ((times_times_nat @ zero_zero_nat) = (^[Y0 : nat]: (zero_zero_nat)))),
1.09/0.53	  inference(fool_elimination,[],[f561])).
1.09/0.53	thf(f561,plain,(
1.09/0.53	  ((times_times_nat @ zero_zero_nat) = (^[X0 : nat] : (zero_zero_nat)))),
1.09/0.53	  inference(rectify,[],[f122])).
1.09/0.53	thf(f122,axiom,(
1.09/0.53	  ((times_times_nat @ zero_zero_nat) = (^[X43 : nat] : (zero_zero_nat)))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_57_lambda__zero)).
1.09/0.53	thf(f1956,plain,(
1.09/0.53	  (zero_zero_nat != (groups1842438620at_nat @ (times_times_nat @ zero_zero_nat) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | (~spl86_2 | spl86_6)),
1.09/0.53	  inference(subsumption_resolution,[],[f1889,f1508])).
1.09/0.53	thf(f1508,plain,(
1.09/0.53	  ( ! [X0 : nat] : ((zero_zero_nat = (times_times_nat @ zero_zero_nat @ X0))) )),
1.09/0.53	  inference(cnf_transformation,[],[f142])).
1.09/0.53	thf(f142,axiom,(
1.09/0.53	  ! [X0 : nat] : (zero_zero_nat = (times_times_nat @ zero_zero_nat @ X0))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_15_mult__zero__left)).
1.09/0.53	thf(f1889,plain,(
1.09/0.53	  ( ! [X0 : nat] : ((zero_zero_nat != (groups1842438620at_nat @ (times_times_nat @ zero_zero_nat) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | (zero_zero_nat != (times_times_nat @ zero_zero_nat @ X0))) ) | (~spl86_2 | spl86_6)),
1.09/0.53	  inference(superposition,[],[f1694,f1622])).
1.09/0.53	thf(f1622,plain,(
1.09/0.53	  ( ! [X2 : nat,X0 : nat] : (((times_times_nat @ zero_zero_nat @ X2) = (times_times_nat @ zero_zero_nat @ X0))) )),
1.09/0.53	  inference(equality_resolution,[],[f1470])).
1.09/0.53	thf(f1470,plain,(
1.09/0.53	  ( ! [X2 : nat,X0 : nat,X1 : nat] : (((times_times_nat @ X1 @ X0) = (times_times_nat @ X1 @ X2)) | (zero_zero_nat != X1)) )),
1.09/0.53	  inference(cnf_transformation,[],[f1150])).
1.09/0.53	thf(f1150,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat,X2 : nat] : ((((times_times_nat @ X1 @ X0) = (times_times_nat @ X1 @ X2)) | ((zero_zero_nat != X1) & (X0 != X2))) & ((zero_zero_nat = X1) | (X0 = X2) | ((times_times_nat @ X1 @ X0) != (times_times_nat @ X1 @ X2))))),
1.09/0.53	  inference(flattening,[],[f1149])).
1.09/0.53	thf(f1149,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat,X2 : nat] : ((((times_times_nat @ X1 @ X0) = (times_times_nat @ X1 @ X2)) | ((zero_zero_nat != X1) & (X0 != X2))) & (((zero_zero_nat = X1) | (X0 = X2)) | ((times_times_nat @ X1 @ X0) != (times_times_nat @ X1 @ X2))))),
1.09/0.53	  inference(nnf_transformation,[],[f516])).
1.09/0.53	thf(f516,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat,X2 : nat] : (((times_times_nat @ X1 @ X0) = (times_times_nat @ X1 @ X2)) <=> ((zero_zero_nat = X1) | (X0 = X2)))),
1.09/0.53	  inference(fool_elimination,[],[f515])).
1.09/0.53	thf(f515,plain,(
1.09/0.53	  ! [X0 : nat,X1 : nat,X2 : nat] : (((times_times_nat @ X1 @ X0) = (times_times_nat @ X1 @ X2)) = (zero_zero_nat = X1) | (X0 = X2))),
1.09/0.53	  inference(rectify,[],[f101])).
1.09/0.53	thf(f101,axiom,(
1.09/0.53	  ! [X0 : nat,X6 : nat,X5 : nat] : (((times_times_nat @ X6 @ X0) = (times_times_nat @ X6 @ X5)) = (zero_zero_nat = X6) | (X0 = X5))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_12_mult__cancel__left)).
1.09/0.53	thf(f1694,plain,(
1.09/0.53	  ( ! [X0 : nat > nat] : ((zero_zero_nat != (X0 @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat)))))) | (zero_zero_nat != (groups1842438620at_nat @ X0 @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat)))))) ) | (~spl86_2 | spl86_6)),
1.09/0.53	  inference(forward_demodulation,[],[f1693,f1508])).
1.09/0.53	thf(f1693,plain,(
1.09/0.53	  ( ! [X0 : nat > nat] : ((zero_zero_nat != (groups1842438620at_nat @ X0 @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | ((X0 @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) != (times_times_nat @ zero_zero_nat @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))))) ) | (~spl86_2 | spl86_6)),
1.09/0.53	  inference(forward_demodulation,[],[f1692,f1680])).
1.09/0.53	thf(f1692,plain,(
1.09/0.53	  ( ! [X0 : nat > nat] : ((zero_zero_nat != (groups1842438620at_nat @ X0 @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | ((X0 @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) != (times_times_nat @ (p @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))))) ) | spl86_6),
1.09/0.53	  inference(beta_eta_normalization,[],[f1683])).
1.09/0.53	thf(f1683,plain,(
1.09/0.53	  ( ! [X0 : nat > nat] : (((X0 @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (sK71 @ X0 @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat)))))) | (zero_zero_nat != (groups1842438620at_nat @ X0 @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat)))))) ) | spl86_6),
1.09/0.53	  inference(superposition,[],[f1670,f1616])).
1.09/0.53	thf(f1616,plain,(
1.09/0.53	  ( ! [X2 : nat > nat,X3 : set_nat,X1 : nat > nat] : (((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X3)) | ((X1 @ (sK71 @ X2 @ X1 @ X3)) != (X2 @ (sK71 @ X2 @ X1 @ X3)))) )),
1.09/0.53	  inference(equality_resolution,[],[f1453])).
1.09/0.53	thf(f1453,plain,(
1.09/0.53	  ( ! [X2 : nat > nat,X3 : set_nat,X0 : set_nat,X1 : nat > nat] : ((X0 != X3) | ((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X0)) | ((X1 @ (sK71 @ X2 @ X1 @ X0)) != (X2 @ (sK71 @ X2 @ X1 @ X0)))) )),
1.09/0.53	  inference(cnf_transformation,[],[f1144])).
1.09/0.53	thf(f1144,plain,(
1.09/0.53	  ! [X0 : set_nat,X1 : nat > nat,X2 : nat > nat,X3 : set_nat] : ((X0 != X3) | ((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X0)) | (((X1 @ (sK71 @ X2 @ X1 @ X0)) != (X2 @ (sK71 @ X2 @ X1 @ X0))) & ($true = (member_nat @ (sK71 @ X2 @ X1 @ X0) @ X0))))),
1.09/0.53	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f845,f1143])).
1.09/0.53	thf(f1143,plain,(
1.09/0.53	  ! [X0 : set_nat,X1 : nat > nat,X2 : nat > nat] : (? [X4 : nat] : (((X1 @ X4) != (X2 @ X4)) & ((member_nat @ X4 @ X0) = $true)) => (((X1 @ (sK71 @ X2 @ X1 @ X0)) != (X2 @ (sK71 @ X2 @ X1 @ X0))) & ($true = (member_nat @ (sK71 @ X2 @ X1 @ X0) @ X0))))),
1.09/0.53	  introduced(choice_axiom,[])).
1.09/0.53	thf(f845,plain,(
1.09/0.53	  ! [X0 : set_nat,X1 : nat > nat,X2 : nat > nat,X3 : set_nat] : ((X0 != X3) | ((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X0)) | ? [X4 : nat] : (((X1 @ X4) != (X2 @ X4)) & ((member_nat @ X4 @ X0) = $true)))),
1.09/0.53	  inference(flattening,[],[f844])).
1.09/0.53	thf(f844,plain,(
1.09/0.53	  ! [X0 : set_nat,X1 : nat > nat,X2 : nat > nat,X3 : set_nat] : ((((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X0)) | ? [X4 : nat] : (((X1 @ X4) != (X2 @ X4)) & ((member_nat @ X4 @ X0) = $true))) | (X0 != X3))),
1.09/0.53	  inference(ennf_transformation,[],[f432])).
1.09/0.53	thf(f432,plain,(
1.09/0.53	  ! [X0 : set_nat,X1 : nat > nat,X2 : nat > nat,X3 : set_nat] : ((X0 = X3) => (! [X4 : nat] : (((member_nat @ X4 @ X0) = $true) => ((X1 @ X4) = (X2 @ X4))) => ((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X0))))),
1.09/0.53	  inference(fool_elimination,[],[f431])).
1.09/0.53	thf(f431,plain,(
1.09/0.53	  ! [X0 : set_nat,X1 : nat > nat,X2 : nat > nat,X3 : set_nat] : ((X0 = X3) => (! [X4 : nat] : ((member_nat @ X4 @ X0) => ((X1 @ X4) = (X2 @ X4))) => ((groups1842438620at_nat @ X2 @ X3) = (groups1842438620at_nat @ X1 @ X0))))),
1.09/0.53	  inference(rectify,[],[f178])).
1.09/0.53	thf(f178,axiom,(
1.09/0.53	  ! [X32 : set_nat,X48 : nat > nat,X27 : nat > nat,X20 : set_nat] : ((X20 = X32) => (! [X22 : nat] : ((member_nat @ X22 @ X32) => ((X27 @ X22) = (X48 @ X22))) => ((groups1842438620at_nat @ X27 @ X20) = (groups1842438620at_nat @ X48 @ X32))))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_32_sum_Ocong)).
1.09/0.53	thf(f1670,plain,(
1.09/0.53	  (zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | spl86_6),
1.09/0.53	  inference(avatar_component_clause,[],[f1668])).
1.09/0.53	thf(f1668,plain,(
1.09/0.53	  spl86_6 <=> (zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat)))))),
1.09/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl86_6])])).
1.09/0.53	thf(f1676,plain,(
1.09/0.53	  ~spl86_6 | ~spl86_7 | ~spl86_2),
1.09/0.53	  inference(avatar_split_clause,[],[f1645,f1651,f1673,f1668])).
1.09/0.53	thf(f1645,plain,(
1.09/0.53	  (zero_zero_nat != (p @ sK67)) | (zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (collect_nat @ (^[Y0 : nat]: (ord_less_eq_nat @ Y0 @ zero_zero_nat))))) | (p != (^[Y0 : nat]: (zero_zero_nat)))),
1.09/0.53	  inference(beta_eta_normalization,[],[f1547])).
1.09/0.53	thf(f1547,plain,(
1.09/0.53	  (zero_zero_nat != (p @ sK67)) | (zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ ((^[Y0 : nat]: (collect_nat @ (^[Y1 : nat]: (ord_less_eq_nat @ Y1 @ Y0)))) @ zero_zero_nat))) | (p != (^[Y0 : nat]: (zero_zero_nat)))),
1.09/0.53	  inference(definition_unfolding,[],[f1426,f1480])).
1.09/0.53	thf(f1480,plain,(
1.09/0.53	  (set_ord_atMost_nat = (^[Y0 : nat]: (collect_nat @ (^[Y1 : nat]: (ord_less_eq_nat @ Y1 @ Y0)))))),
1.09/0.53	  inference(cnf_transformation,[],[f670])).
1.09/0.53	thf(f670,plain,(
1.09/0.53	  (set_ord_atMost_nat = (^[Y0 : nat]: (collect_nat @ (^[Y1 : nat]: (ord_less_eq_nat @ Y1 @ Y0)))))),
1.09/0.53	  inference(fool_elimination,[],[f669])).
1.09/0.53	thf(f669,plain,(
1.09/0.53	  ((^[X0 : nat] : (collect_nat @ (^[X1 : nat] : (ord_less_eq_nat @ X1 @ X0)))) = set_ord_atMost_nat)),
1.09/0.53	  inference(rectify,[],[f153])).
1.09/0.53	thf(f153,axiom,(
1.09/0.53	  ((^[X41 : nat] : (collect_nat @ (^[X13 : nat] : (ord_less_eq_nat @ X13 @ X41)))) = set_ord_atMost_nat)),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',fact_64_atMost__def)).
1.09/0.53	thf(f1426,plain,(
1.09/0.53	  (zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) | (zero_zero_nat != (p @ sK67)) | (p != (^[Y0 : nat]: (zero_zero_nat)))),
1.09/0.53	  inference(cnf_transformation,[],[f1132])).
1.09/0.53	thf(f1132,plain,(
1.09/0.53	  ((zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) | ((($true != (ord_less_eq_nat @ sK67 @ zero_zero_nat)) | ($true != (ord_less_eq_nat @ one_one_nat @ sK67))) & (zero_zero_nat != (p @ sK67))) | (p != (^[Y0 : nat]: (zero_zero_nat)))) & (((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X1 : nat] : ((($true = (ord_less_eq_nat @ X1 @ zero_zero_nat)) & ($true = (ord_less_eq_nat @ one_one_nat @ X1))) | (zero_zero_nat = (p @ X1)))) | (p = (^[Y0 : nat]: (zero_zero_nat))))),
1.09/0.53	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f1130,f1131])).
1.09/0.53	thf(f1131,plain,(
1.09/0.53	  ? [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) != $true) | ($true != (ord_less_eq_nat @ one_one_nat @ X0))) & (zero_zero_nat != (p @ X0))) => ((($true != (ord_less_eq_nat @ sK67 @ zero_zero_nat)) | ($true != (ord_less_eq_nat @ one_one_nat @ sK67))) & (zero_zero_nat != (p @ sK67)))),
1.09/0.53	  introduced(choice_axiom,[])).
1.09/0.53	thf(f1130,plain,(
1.09/0.53	  ((zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) | ? [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) != $true) | ($true != (ord_less_eq_nat @ one_one_nat @ X0))) & (zero_zero_nat != (p @ X0))) | (p != (^[Y0 : nat]: (zero_zero_nat)))) & (((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X1 : nat] : ((($true = (ord_less_eq_nat @ X1 @ zero_zero_nat)) & ($true = (ord_less_eq_nat @ one_one_nat @ X1))) | (zero_zero_nat = (p @ X1)))) | (p = (^[Y0 : nat]: (zero_zero_nat))))),
1.09/0.53	  inference(rectify,[],[f1129])).
1.09/0.53	thf(f1129,plain,(
1.09/0.53	  ((zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) | ? [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) != $true) | ($true != (ord_less_eq_nat @ one_one_nat @ X0))) & (zero_zero_nat != (p @ X0))) | (p != (^[Y0 : nat]: (zero_zero_nat)))) & (((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) = $true) & ($true = (ord_less_eq_nat @ one_one_nat @ X0))) | (zero_zero_nat = (p @ X0)))) | (p = (^[Y0 : nat]: (zero_zero_nat))))),
1.09/0.53	  inference(flattening,[],[f1128])).
1.09/0.53	thf(f1128,plain,(
1.09/0.53	  (((zero_zero_nat != (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) | ? [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) != $true) | ($true != (ord_less_eq_nat @ one_one_nat @ X0))) & (zero_zero_nat != (p @ X0)))) | (p != (^[Y0 : nat]: (zero_zero_nat)))) & (((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) = $true) & ($true = (ord_less_eq_nat @ one_one_nat @ X0))) | (zero_zero_nat = (p @ X0)))) | (p = (^[Y0 : nat]: (zero_zero_nat))))),
1.09/0.53	  inference(nnf_transformation,[],[f915])).
1.09/0.53	thf(f915,plain,(
1.09/0.53	  (p = (^[Y0 : nat]: (zero_zero_nat))) <~> ((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X0 : nat] : ((((ord_less_eq_nat @ X0 @ zero_zero_nat) = $true) & ($true = (ord_less_eq_nat @ one_one_nat @ X0))) | (zero_zero_nat = (p @ X0))))),
1.09/0.53	  inference(ennf_transformation,[],[f739])).
1.09/0.53	thf(f739,plain,(
1.09/0.53	  ~(((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X0 : nat] : ((zero_zero_nat != (p @ X0)) => (((ord_less_eq_nat @ X0 @ zero_zero_nat) = $true) & ($true = (ord_less_eq_nat @ one_one_nat @ X0))))) <=> (p = (^[Y0 : nat]: (zero_zero_nat))))),
1.09/0.53	  inference(rectify,[],[f454])).
1.09/0.53	thf(f454,plain,(
1.09/0.53	  ~(((zero_zero_nat = (groups1842438620at_nat @ (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X1 : nat] : ((zero_zero_nat != (p @ X1)) => (($true = (ord_less_eq_nat @ X1 @ zero_zero_nat)) & ($true = (ord_less_eq_nat @ one_one_nat @ X1))))) <=> (p = (^[Y0 : nat]: (zero_zero_nat))))),
1.09/0.53	  inference(fool_elimination,[],[f453])).
1.09/0.53	thf(f453,plain,(
1.09/0.53	  ~((zero_zero_nat = (groups1842438620at_nat @ (^[X0 : nat] : (times_times_nat @ (p @ X0) @ X0)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X1 : nat] : ((zero_zero_nat != (p @ X1)) => ((ord_less_eq_nat @ X1 @ zero_zero_nat) & (ord_less_eq_nat @ one_one_nat @ X1))) = (p = (^[X2 : nat] : (zero_zero_nat))))),
1.09/0.53	  inference(rectify,[],[f9])).
1.09/0.53	thf(f9,negated_conjecture,(
1.09/0.53	  ~((zero_zero_nat = (groups1842438620at_nat @ (^[X3 : nat] : (times_times_nat @ (p @ X3) @ X3)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X3 : nat] : ((zero_zero_nat != (p @ X3)) => ((ord_less_eq_nat @ X3 @ zero_zero_nat) & (ord_less_eq_nat @ one_one_nat @ X3))) = (p = (^[X3 : nat] : (zero_zero_nat))))),
1.09/0.53	  inference(negated_conjecture,[],[f8])).
1.09/0.53	thf(f8,conjecture,(
1.09/0.53	  ((zero_zero_nat = (groups1842438620at_nat @ (^[X3 : nat] : (times_times_nat @ (p @ X3) @ X3)) @ (set_ord_atMost_nat @ zero_zero_nat))) & ! [X3 : nat] : ((zero_zero_nat != (p @ X3)) => ((ord_less_eq_nat @ X3 @ zero_zero_nat) & (ord_less_eq_nat @ one_one_nat @ X3))) = (p = (^[X3 : nat] : (zero_zero_nat))))),
1.09/0.53	  file('/export/starexec/sandbox/tmp/tmp.eP0Ylz3ZPD/E---3.1_16325.p',conj_0)).
1.09/0.53	thf(f1658,plain,(
1.09/0.53	  spl86_2 | spl86_3),
1.09/0.53	  inference(avatar_split_clause,[],[f1424,f1656,f1651])).
1.09/0.53	thf(f1424,plain,(
1.09/0.53	  ( ! [X1 : nat] : ((zero_zero_nat = (p @ X1)) | ($true = (ord_less_eq_nat @ X1 @ zero_zero_nat)) | (p = (^[Y0 : nat]: (zero_zero_nat)))) )),
1.09/0.53	  inference(cnf_transformation,[],[f1132])).
1.09/0.53	thf(f1654,plain,(
1.09/0.53	  spl86_1 | spl86_2),
1.09/0.53	  inference(avatar_split_clause,[],[f1423,f1651,f1648])).
1.09/0.53	thf(f1423,plain,(
1.09/0.53	  ( ! [X1 : nat] : (($true = (ord_less_eq_nat @ one_one_nat @ X1)) | (p = (^[Y0 : nat]: (zero_zero_nat))) | (zero_zero_nat = (p @ X1))) )),
1.09/0.53	  inference(cnf_transformation,[],[f1132])).
1.09/0.53	% SZS output end Proof for E---3.1_16325
1.09/0.53	% (16444)------------------------------
1.09/0.53	% (16444)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.09/0.53	% (16444)Termination reason: Refutation
1.09/0.53	
1.09/0.53	% (16444)Memory used [KB]: 7291
1.09/0.53	% (16444)Time elapsed: 0.137 s
1.09/0.53	% (16444)Instructions burned: 267 (million)
1.09/0.53	% (16444)------------------------------
1.09/0.53	% (16444)------------------------------
1.09/0.53	% (16437)Success in time 0.141 s
1.09/0.53	EOF