0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer   : n001.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 02:50:49 EDT 2025
0.12/0.33	% CPUTime    : 
0.12/0.35	This is a THF_ problem
0.12/0.35	Running higher-order theorem proving
0.20/0.45	Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.yUttZKbSKy/E---3.1_25212.p -m 16384 -t 240
0.31/0.49	% (25325)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25212 for (2399ds/18Mi)
0.31/0.50	% (25325)Instruction limit reached!
0.31/0.50	% (25325)------------------------------
0.31/0.50	% (25325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.31/0.50	% (25325)Termination reason: Unknown
0.31/0.50	% (25325)Termination phase: shuffling
0.31/0.50	
0.31/0.50	% (25325)Memory used [KB]: 2686
0.31/0.50	% (25325)Time elapsed: 0.008 s
0.31/0.50	% (25321)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_25212 for (2399ds/27Mi)
0.31/0.50	% (25325)Instructions burned: 18 (million)
0.31/0.50	% (25325)------------------------------
0.31/0.50	% (25325)------------------------------
0.31/0.50	% (25322)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25212 for (2399ds/2Mi)
0.31/0.50	% (25323)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_25212 for (2399ds/2Mi)
0.31/0.50	% (25320)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_25212 for (2399ds/4Mi)
0.31/0.50	% (25324)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_25212 for (2399ds/275Mi)
0.31/0.50	% (25322)Instruction limit reached!
0.31/0.50	% (25322)------------------------------
0.31/0.50	% (25322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.31/0.50	% (25322)Termination reason: Unknown
0.31/0.50	% (25322)Termination phase: shuffling
0.31/0.50	% (25323)Instruction limit reached!
0.31/0.50	% (25323)------------------------------
0.31/0.50	% (25323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.31/0.50	% (25323)Termination reason: Unknown
0.31/0.50	% (25323)Termination phase: shuffling
0.31/0.50	
0.31/0.50	% (25323)Memory used [KB]: 2046
0.31/0.50	% (25323)Time elapsed: 0.004 s
0.31/0.50	% (25323)Instructions burned: 2 (million)
0.31/0.50	% (25323)------------------------------
0.31/0.50	% (25323)------------------------------
0.31/0.50	
0.31/0.50	% (25322)Memory used [KB]: 2046
0.31/0.50	% (25322)Time elapsed: 0.004 s
0.31/0.50	% (25322)Instructions burned: 2 (million)
0.31/0.50	% (25322)------------------------------
0.31/0.50	% (25322)------------------------------
0.31/0.50	% (25320)Instruction limit reached!
0.31/0.50	% (25320)------------------------------
0.31/0.50	% (25320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.31/0.50	% (25320)Termination reason: Unknown
0.31/0.50	% (25320)Termination phase: shuffling
0.31/0.50	
0.31/0.50	% (25320)Memory used [KB]: 2046
0.31/0.50	% (25320)Time elapsed: 0.005 s
0.31/0.50	% (25320)Instructions burned: 4 (million)
0.31/0.50	% (25320)------------------------------
0.31/0.50	% (25320)------------------------------
0.31/0.51	% (25319)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25212 for (2399ds/183Mi)
0.31/0.51	% (25326)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_25212 for (2399ds/3Mi)
0.31/0.51	% (25326)Instruction limit reached!
0.31/0.51	% (25326)------------------------------
0.31/0.51	% (25326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.31/0.51	% (25326)Termination reason: Unknown
0.31/0.51	% (25326)Termination phase: shuffling
0.31/0.51	
0.31/0.51	% (25326)Memory used [KB]: 2174
0.31/0.51	% (25326)Time elapsed: 0.004 s
0.31/0.51	% (25326)Instructions burned: 5 (million)
0.31/0.51	% (25326)------------------------------
0.31/0.51	% (25326)------------------------------
0.46/0.52	% (25321)Instruction limit reached!
0.46/0.52	% (25321)------------------------------
0.46/0.52	% (25321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.46/0.52	% (25321)Termination reason: Unknown
0.46/0.52	% (25321)Termination phase: shuffling
0.46/0.52	
0.46/0.52	% (25321)Memory used [KB]: 2942
0.46/0.52	% (25321)Time elapsed: 0.020 s
0.46/0.52	% (25321)Instructions burned: 28 (million)
0.46/0.52	% (25321)------------------------------
0.46/0.52	% (25321)------------------------------
0.46/0.52	% (25328)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_25212 for (2399ds/15Mi)
0.46/0.52	% (25329)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_25212 for (2399ds/3Mi)
0.46/0.52	% (25327)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_25212 for (2399ds/37Mi)
0.46/0.52	% (25329)Instruction limit reached!
0.46/0.52	% (25329)------------------------------
0.46/0.52	% (25329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.46/0.52	% (25329)Termination reason: Unknown
0.46/0.52	% (25329)Termination phase: shuffling
0.46/0.52	
0.46/0.52	% (25329)Memory used [KB]: 2046
0.46/0.52	% (25329)Time elapsed: 0.004 s
0.46/0.52	% (25329)Instructions burned: 4 (million)
0.46/0.52	% (25329)------------------------------
0.46/0.52	% (25329)------------------------------
0.46/0.52	% (25330)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_25212 for (2399ds/1041Mi)
0.46/0.53	% (25328)Instruction limit reached!
0.46/0.53	% (25328)------------------------------
0.46/0.53	% (25328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.46/0.53	% (25328)Termination reason: Unknown
0.46/0.53	% (25328)Termination phase: shuffling
0.46/0.53	
0.46/0.53	% (25328)Memory used [KB]: 2558
0.46/0.53	% (25328)Time elapsed: 0.012 s
0.46/0.53	% (25328)Instructions burned: 15 (million)
0.46/0.53	% (25328)------------------------------
0.46/0.53	% (25328)------------------------------
0.56/0.54	% (25331)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_25212 for (2399ds/7Mi)
0.56/0.54	% (25331)Instruction limit reached!
0.56/0.54	% (25331)------------------------------
0.56/0.54	% (25331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.54	% (25327)Instruction limit reached!
0.56/0.54	% (25327)------------------------------
0.56/0.54	% (25327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.54	% (25327)Termination reason: Unknown
0.56/0.54	% (25327)Termination phase: shuffling
0.56/0.54	
0.56/0.54	% (25327)Memory used [KB]: 3326
0.56/0.54	% (25327)Time elapsed: 0.022 s
0.56/0.54	% (25327)Instructions burned: 37 (million)
0.56/0.54	% (25327)------------------------------
0.56/0.54	% (25327)------------------------------
0.56/0.54	% (25331)Termination reason: Unknown
0.56/0.54	% (25331)Termination phase: shuffling
0.56/0.54	
0.56/0.54	% (25331)Memory used [KB]: 2174
0.56/0.54	% (25331)Time elapsed: 0.007 s
0.56/0.54	% (25331)Instructions burned: 7 (million)
0.56/0.54	% (25331)------------------------------
0.56/0.54	% (25331)------------------------------
0.56/0.54	% (25332)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_25212 for (2399ds/16Mi)
0.56/0.55	% (25333)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_25212 for (2399ds/3Mi)
0.56/0.55	% (25333)Instruction limit reached!
0.56/0.55	% (25333)------------------------------
0.56/0.55	% (25333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.55	% (25333)Termination reason: Unknown
0.56/0.55	% (25333)Termination phase: shuffling
0.56/0.55	
0.56/0.55	% (25333)Memory used [KB]: 2046
0.56/0.55	% (25333)Time elapsed: 0.005 s
0.56/0.55	% (25333)Instructions burned: 4 (million)
0.56/0.55	% (25333)------------------------------
0.56/0.55	% (25333)------------------------------
0.56/0.55	% (25332)Instruction limit reached!
0.56/0.55	% (25332)------------------------------
0.56/0.55	% (25332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.55	% (25332)Termination reason: Unknown
0.56/0.55	% (25332)Termination phase: shuffling
0.56/0.55	
0.56/0.55	% (25332)Memory used [KB]: 2558
0.56/0.55	% (25332)Time elapsed: 0.013 s
0.56/0.55	% (25332)Instructions burned: 17 (million)
0.56/0.55	% (25332)------------------------------
0.56/0.55	% (25332)------------------------------
0.56/0.56	% (25334)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_25212 for (2399ds/3Mi)
0.56/0.56	% (25335)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_25212 for (2399ds/7Mi)
0.56/0.56	% (25334)Instruction limit reached!
0.56/0.56	% (25334)------------------------------
0.56/0.56	% (25334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.56	% (25334)Termination reason: Unknown
0.56/0.56	% (25334)Termination phase: shuffling
0.56/0.56	
0.56/0.56	% (25334)Memory used [KB]: 2046
0.56/0.56	% (25334)Time elapsed: 0.004 s
0.56/0.56	% (25334)Instructions burned: 3 (million)
0.56/0.56	% (25334)------------------------------
0.56/0.56	% (25334)------------------------------
0.56/0.56	% (25335)Instruction limit reached!
0.56/0.56	% (25335)------------------------------
0.56/0.56	% (25335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.56	% (25335)Termination reason: Unknown
0.56/0.56	% (25335)Termination phase: shuffling
0.56/0.56	
0.56/0.56	% (25335)Memory used [KB]: 2174
0.56/0.56	% (25335)Time elapsed: 0.007 s
0.56/0.56	% (25335)Instructions burned: 7 (million)
0.56/0.56	% (25335)------------------------------
0.56/0.56	% (25335)------------------------------
0.56/0.57	% (25336)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_25212 for (2399ds/3Mi)
0.56/0.57	% (25337)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_25212 for (2399ds/4Mi)
0.56/0.57	% (25336)Instruction limit reached!
0.56/0.57	% (25336)------------------------------
0.56/0.57	% (25336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.57	% (25336)Termination reason: Unknown
0.56/0.57	% (25336)Termination phase: shuffling
0.56/0.57	
0.56/0.57	% (25336)Memory used [KB]: 2046
0.56/0.57	% (25336)Time elapsed: 0.004 s
0.56/0.57	% (25336)Instructions burned: 3 (million)
0.56/0.57	% (25336)------------------------------
0.56/0.57	% (25336)------------------------------
0.56/0.57	% (25324)Refutation not found, incomplete strategy
0.56/0.57	% (25324)------------------------------
0.56/0.57	% (25324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.57	% (25324)Termination reason: Refutation not found, incomplete strategy
0.56/0.57	
0.56/0.57	
0.56/0.57	% (25324)Memory used [KB]: 8443
0.56/0.57	% (25324)Time elapsed: 0.074 s
0.56/0.57	% (25324)Instructions burned: 126 (million)
0.56/0.57	% (25324)------------------------------
0.56/0.57	% (25324)------------------------------
0.56/0.57	% (25337)Instruction limit reached!
0.56/0.57	% (25337)------------------------------
0.56/0.57	% (25337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.57	% (25337)Termination reason: Unknown
0.56/0.57	% (25337)Termination phase: shuffling
0.56/0.57	
0.56/0.57	% (25337)Memory used [KB]: 2046
0.56/0.57	% (25337)Time elapsed: 0.005 s
0.56/0.57	% (25337)Instructions burned: 4 (million)
0.56/0.57	% (25337)------------------------------
0.56/0.57	% (25337)------------------------------
0.56/0.58	% (25338)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_25212 for (2398ds/18Mi)
0.56/0.58	% (25339)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_25212 for (2398ds/710Mi)
0.56/0.59	% (25340)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25212 for (2398ds/6Mi)
0.56/0.59	% (25338)Instruction limit reached!
0.56/0.59	% (25338)------------------------------
0.56/0.59	% (25338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.59	% (25338)Termination reason: Unknown
0.56/0.59	% (25338)Termination phase: shuffling
0.56/0.59	
0.56/0.59	% (25338)Memory used [KB]: 2686
0.56/0.59	% (25338)Time elapsed: 0.014 s
0.56/0.59	% (25338)Instructions burned: 18 (million)
0.56/0.59	% (25338)------------------------------
0.56/0.59	% (25338)------------------------------
0.56/0.59	% (25341)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_25212 for (2398ds/902Mi)
0.56/0.59	% (25342)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_25212 for (2398ds/21Mi)
0.56/0.59	% (25340)Instruction limit reached!
0.56/0.59	% (25340)------------------------------
0.56/0.59	% (25340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.59	% (25340)Termination reason: Unknown
0.56/0.59	% (25340)Termination phase: shuffling
0.56/0.59	
0.56/0.59	% (25340)Memory used [KB]: 2174
0.56/0.59	% (25340)Time elapsed: 0.006 s
0.56/0.59	% (25340)Instructions burned: 7 (million)
0.56/0.59	% (25340)------------------------------
0.56/0.59	% (25340)------------------------------
0.56/0.60	% (25319)Instruction limit reached!
0.56/0.60	% (25319)------------------------------
0.56/0.60	% (25319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.60	% (25319)Termination reason: Unknown
0.56/0.60	% (25319)Termination phase: Property scanning
0.56/0.60	
0.56/0.60	% (25319)Memory used [KB]: 4605
0.56/0.60	% (25319)Time elapsed: 0.100 s
0.56/0.60	% (25319)Instructions burned: 183 (million)
0.56/0.60	% (25319)------------------------------
0.56/0.60	% (25319)------------------------------
0.56/0.60	% (25342)Instruction limit reached!
0.56/0.60	% (25342)------------------------------
0.56/0.60	% (25342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.60	% (25342)Termination reason: Unknown
0.56/0.60	% (25342)Termination phase: shuffling
0.56/0.60	
0.56/0.60	% (25342)Memory used [KB]: 2814
0.56/0.60	% (25342)Time elapsed: 0.015 s
0.56/0.60	% (25342)Instructions burned: 21 (million)
0.56/0.60	% (25342)------------------------------
0.56/0.60	% (25342)------------------------------
0.56/0.61	% (25344)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_25212 for (2398ds/6Mi)
0.56/0.61	% (25343)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_25212 for (2398ds/5Mi)
0.56/0.61	% (25344)Instruction limit reached!
0.56/0.61	% (25344)------------------------------
0.56/0.61	% (25344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.61	% (25344)Termination reason: Unknown
0.56/0.61	% (25344)Termination phase: shuffling
0.56/0.61	
0.56/0.61	% (25344)Memory used [KB]: 2302
0.56/0.61	% (25344)Time elapsed: 0.004 s
0.56/0.61	% (25344)Instructions burned: 9 (million)
0.56/0.61	% (25344)------------------------------
0.56/0.61	% (25344)------------------------------
0.56/0.61	% (25343)Instruction limit reached!
0.56/0.61	% (25343)------------------------------
0.56/0.61	% (25343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.61	% (25343)Termination reason: Unknown
0.56/0.61	% (25343)Termination phase: shuffling
0.56/0.61	
0.56/0.61	% (25343)Memory used [KB]: 2302
0.56/0.61	% (25343)Time elapsed: 0.005 s
0.56/0.61	% (25343)Instructions burned: 7 (million)
0.56/0.61	% (25343)------------------------------
0.56/0.61	% (25343)------------------------------
0.56/0.62	% (25345)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_25212 for (2398ds/377Mi)
0.56/0.62	% (25346)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_25212 for (2398ds/779Mi)
0.56/0.62	% (25347)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_25212 for (2398ds/19Mi)
0.56/0.62	% (25348)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_25212 for (2398ds/879Mi)
0.56/0.62	% (25347)Instruction limit reached!
0.56/0.62	% (25347)------------------------------
0.56/0.62	% (25347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.56/0.62	% (25347)Termination reason: Unknown
0.56/0.62	% (25347)Termination phase: shuffling
0.56/0.62	
0.56/0.62	% (25347)Memory used [KB]: 2686
0.56/0.62	% (25347)Time elapsed: 0.008 s
0.56/0.62	% (25347)Instructions burned: 20 (million)
0.56/0.62	% (25347)------------------------------
0.56/0.62	% (25347)------------------------------
1.02/0.63	% (25330)First to succeed.
1.02/0.63	% (25330)Refutation found. Thanks to Tanya!
1.02/0.63	% SZS status Theorem for E---3.1_25212
1.02/0.63	% SZS output start Proof for E---3.1_25212
1.02/0.63	thf(type_def_5, type, produc1501160679le_alt: $tType).
1.02/0.63	thf(type_def_7, type, arrow_1429601828e_indi: $tType).
1.02/0.63	thf(type_def_8, type, arrow_475358991le_alt: $tType).
1.02/0.63	thf(type_def_9, type, nat: $tType).
1.02/0.63	thf(type_def_10, type, product_unit: $tType).
1.02/0.63	thf(func_def_0, type, arrow_475358991le_alt: $tType).
1.02/0.63	thf(func_def_1, type, arrow_1429601828e_indi: $tType).
1.02/0.63	thf(func_def_2, type, nat: $tType).
1.02/0.63	thf(func_def_3, type, product_unit: $tType).
1.02/0.63	thf(func_def_4, type, produc1501160679le_alt: $tType).
1.02/0.63	thf(func_def_5, type, all: (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_6, type, arrow_797024463le_IIA: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_7, type, arrow_823908191le_Lin: (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_8, type, arrow_734252939e_Prof: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_9, type, arrow_789600939_above: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_10, type, arrow_2098199487_below: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_11, type, arrow_1212662430ctator: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o).
1.02/0.63	thf(func_def_12, type, arrow_2054445623_mkbot: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_13, type, arrow_55669061_mktop: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_14, type, arrow_1706409458nimity: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_15, type, finite120663670_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > nat).
1.02/0.63	thf(func_def_16, type, finite28306938_alt_o: ((produc1501160679le_alt > $o) > $o) > nat).
1.02/0.63	thf(func_def_17, type, finite_card_o: ($o > $o) > nat).
1.02/0.63	thf(func_def_18, type, finite97476818e_indi: (arrow_1429601828e_indi > $o) > nat).
1.02/0.63	thf(func_def_19, type, finite_card_nat: (nat > $o) > nat).
1.02/0.63	thf(func_def_20, type, finite1949902593t_unit: (product_unit > $o) > nat).
1.02/0.63	thf(func_def_21, type, finite537683861le_alt: (produc1501160679le_alt > $o) > nat).
1.02/0.63	thf(func_def_22, type, finite1956767223_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_23, type, finite2112685307_alt_o: ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_24, type, finite_finite_o: ($o > $o) > $o).
1.02/0.63	thf(func_def_25, type, finite664979089e_indi: (arrow_1429601828e_indi > $o) > $o).
1.02/0.63	thf(func_def_26, type, finite_finite_nat: (nat > $o) > $o).
1.02/0.63	thf(func_def_27, type, finite449174868le_alt: (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_28, type, in_rel1252994498le_alt: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.02/0.63	thf(func_def_29, type, inj_on1284293749_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_30, type, inj_on743426285_alt_o: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_31, type, inj_on1877294875e_indi: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_32, type, inj_on867909093le_alt: ($o > produc1501160679le_alt) > ($o > $o) > $o).
1.02/0.63	thf(func_def_33, type, inj_on1190919077_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > $o) > $o).
1.02/0.63	thf(func_def_34, type, inj_on978774663di_nat: (arrow_1429601828e_indi > nat) > (arrow_1429601828e_indi > $o) > $o).
1.02/0.63	thf(func_def_35, type, inj_on_nat_nat: (nat > nat) > (nat > $o) > $o).
1.02/0.63	thf(func_def_36, type, inj_on1911943593_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_37, type, pi_Arr195212324lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_38, type, pi_Arr338314351e_indi: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.02/0.63	thf(func_def_39, type, pi_Arr830584606t_unit: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > $o).
1.02/0.63	thf(func_def_40, type, pi_Arr1304755663_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_41, type, pi_Arr952516694lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_42, type, pi_Arr1232280765e_indi: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.02/0.63	thf(func_def_43, type, pi_Arr1963174508t_unit: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > $o).
1.02/0.63	thf(func_def_44, type, pi_Pro763888199_alt_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_45, type, pi_Pro422690258lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_46, type, pi_Pro468373057e_indi: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.02/0.63	thf(func_def_47, type, pi_Pro1306850800t_unit: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > product_unit > $o) > ((produc1501160679le_alt > $o) > product_unit) > $o).
1.02/0.63	thf(func_def_48, type, pi_o_A1186128886_alt_o: ($o > $o) > ($o > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_49, type, pi_o_A1182933120_alt_o: ($o > $o) > ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_50, type, pi_o_P553196292_alt_o: ($o > $o) > ($o > (produc1501160679le_alt > $o) > $o) > ($o > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_51, type, pi_o_nat: ($o > $o) > ($o > nat > $o) > ($o > nat) > $o).
1.02/0.63	thf(func_def_52, type, pi_o_P657324555le_alt: ($o > $o) > ($o > produc1501160679le_alt > $o) > ($o > produc1501160679le_alt) > $o).
1.02/0.63	thf(func_def_53, type, pi_Arr1564509167_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_54, type, pi_Arr1060328391_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_55, type, pi_Arr1929480907_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_56, type, pi_Arr251692973di_nat: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > nat > $o) > (arrow_1429601828e_indi > nat) > $o).
1.02/0.63	thf(func_def_57, type, pi_Arr329216900le_alt: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt) > $o).
1.02/0.63	thf(func_def_58, type, pi_nat_o: (nat > $o) > (nat > $o > $o) > (nat > $o) > $o).
1.02/0.63	thf(func_def_59, type, pi_nat1219304995e_indi: (nat > $o) > (nat > arrow_1429601828e_indi > $o) > (nat > arrow_1429601828e_indi) > $o).
1.02/0.63	thf(func_def_60, type, pi_nat_nat: (nat > $o) > (nat > nat > $o) > (nat > nat) > $o).
1.02/0.63	thf(func_def_61, type, pi_nat_Product_unit: (nat > $o) > (nat > product_unit > $o) > (nat > product_unit) > $o).
1.02/0.63	thf(func_def_62, type, pi_Pro1782982558_alt_o: (product_unit > $o) > (product_unit > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_63, type, pi_Pro1662176984_alt_o: (product_unit > $o) > (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_64, type, pi_Pro1312660828_alt_o: (product_unit > $o) > (product_unit > (produc1501160679le_alt > $o) > $o) > (product_unit > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_65, type, pi_Product_unit_nat: (product_unit > $o) > (product_unit > nat > $o) > (product_unit > nat) > $o).
1.02/0.63	thf(func_def_66, type, pi_Pro701847987le_alt: (product_unit > $o) > (product_unit > produc1501160679le_alt > $o) > (product_unit > produc1501160679le_alt) > $o).
1.02/0.63	thf(func_def_67, type, pi_Pro1701359055_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o > $o) > (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_68, type, pi_Pro1767455108e_indi: (produc1501160679le_alt > $o) > (produc1501160679le_alt > arrow_1429601828e_indi > $o) > (produc1501160679le_alt > arrow_1429601828e_indi) > $o).
1.02/0.63	thf(func_def_69, type, pi_Pro1475896499t_unit: (produc1501160679le_alt > $o) > (produc1501160679le_alt > product_unit > $o) > (produc1501160679le_alt > product_unit) > $o).
1.02/0.63	thf(func_def_70, type, one_one_nat: nat).
1.02/0.63	thf(func_def_71, type, plus_plus_nat: nat > nat > nat).
1.02/0.63	thf(func_def_72, type, zero_zero_nat: nat).
1.02/0.63	thf(func_def_73, type, hilber598459244di_nat: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > nat) > nat > arrow_1429601828e_indi).
1.02/0.63	thf(func_def_74, type, hilber195283148at_nat: (nat > $o) > (nat > nat) > nat > nat).
1.02/0.63	thf(func_def_75, type, if_Pro1561232536_alt_o: $o > (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_76, type, suc: nat > nat).
1.02/0.63	thf(func_def_77, type, ord_le1859604819lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_78, type, ord_le157835011lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_79, type, ord_le910298367lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_80, type, ord_less_o_o: ($o > $o) > ($o > $o) > $o).
1.02/0.63	thf(func_def_81, type, ord_le777687553indi_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > $o) > $o).
1.02/0.63	thf(func_def_82, type, ord_less_nat_o: (nat > $o) > (nat > $o) > $o).
1.02/0.63	thf(func_def_83, type, ord_le232288914unit_o: (product_unit > $o) > (product_unit > $o) > $o).
1.02/0.63	thf(func_def_84, type, ord_le988258430_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_85, type, ord_less_o: $o > $o > $o).
1.02/0.63	thf(func_def_86, type, ord_less_nat: nat > nat > $o).
1.02/0.63	thf(func_def_87, type, ord_le134800455lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_88, type, ord_le1992928527lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_89, type, ord_le1063113995lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_90, type, ord_less_eq_o_o: ($o > $o) > ($o > $o) > $o).
1.02/0.63	thf(func_def_91, type, ord_le2080035663_alt_o: (arrow_475358991le_alt > arrow_475358991le_alt > $o) > (arrow_475358991le_alt > arrow_475358991le_alt > $o) > $o).
1.02/0.63	thf(func_def_92, type, ord_le1799070453indi_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > $o) > $o).
1.02/0.63	thf(func_def_93, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o).
1.02/0.63	thf(func_def_94, type, ord_le1511552390unit_o: (product_unit > $o) > (product_unit > $o) > $o).
1.02/0.63	thf(func_def_95, type, ord_le97612146_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_96, type, ord_less_eq_o: $o > $o > $o).
1.02/0.63	thf(func_def_97, type, ord_less_eq_nat: nat > nat > $o).
1.02/0.63	thf(func_def_98, type, top_to1969627639lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_99, type, top_to2122763103lt_o_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_100, type, top_to1842727771lt_o_o: (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_101, type, top_top_o_o: $o > $o).
1.02/0.63	thf(func_def_102, type, top_to988227749indi_o: arrow_1429601828e_indi > $o).
1.02/0.63	thf(func_def_103, type, top_top_nat_o: nat > $o).
1.02/0.63	thf(func_def_104, type, top_to1984820022unit_o: product_unit > $o).
1.02/0.63	thf(func_def_105, type, top_to1841428258_alt_o: produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_107, type, produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt).
1.02/0.63	thf(func_def_108, type, ord_at4362885an_nat: nat > nat > nat > $o).
1.02/0.63	thf(func_def_109, type, collec2009291517_alt_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_110, type, collec682858041_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_111, type, collec94295101_alt_o: ((produc1501160679le_alt > $o) > $o) > (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_112, type, collec22405327e_indi: (arrow_1429601828e_indi > $o) > arrow_1429601828e_indi > $o).
1.02/0.63	thf(func_def_113, type, collect_nat: (nat > $o) > nat > $o).
1.02/0.63	thf(func_def_114, type, collect_Product_unit: (product_unit > $o) > product_unit > $o).
1.02/0.63	thf(func_def_115, type, collec869865362le_alt: (produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_116, type, image_484224243di_nat: (arrow_1429601828e_indi > nat) > (arrow_1429601828e_indi > $o) > nat > $o).
1.02/0.63	thf(func_def_117, type, member1823529808lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o) > $o).
1.02/0.63	thf(func_def_118, type, member1452482393e_indi: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.02/0.63	thf(func_def_119, type, member1924666376t_unit: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.02/0.63	thf(func_def_120, type, member616898751_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_121, type, member939334982lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o) > $o).
1.02/0.63	thf(func_def_122, type, member44294883e_indi: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.02/0.63	thf(func_def_123, type, member843528338t_unit: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.02/0.63	thf(func_def_124, type, member530241719_alt_o: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > (((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_125, type, member1961363906lt_o_o: ((produc1501160679le_alt > $o) > $o) > (((produc1501160679le_alt > $o) > $o) > $o) > $o).
1.02/0.63	thf(func_def_126, type, member304866663e_indi: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > (((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.02/0.63	thf(func_def_127, type, member221730070t_unit: ((produc1501160679le_alt > $o) > product_unit) > (((produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.02/0.63	thf(func_def_128, type, member1957863580_alt_o: ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > (($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_129, type, member1394214384_alt_o: ($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > (($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_130, type, member1862122484_alt_o: ($o > produc1501160679le_alt > $o) > (($o > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_131, type, member_o_nat: ($o > nat) > (($o > nat) > $o) > $o).
1.02/0.63	thf(func_def_132, type, member492167345le_alt: ($o > produc1501160679le_alt) > (($o > produc1501160679le_alt) > $o) > $o).
1.02/0.63	thf(func_def_133, type, member811956313_alt_o: (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_134, type, member1234151027_alt_o: (arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_135, type, member526088951_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_136, type, member1315464153di_nat: (arrow_1429601828e_indi > nat) > ((arrow_1429601828e_indi > nat) > $o) > $o).
1.02/0.63	thf(func_def_137, type, member351225838le_alt: (arrow_1429601828e_indi > produc1501160679le_alt) > ((arrow_1429601828e_indi > produc1501160679le_alt) > $o) > $o).
1.02/0.63	thf(func_def_138, type, member_nat_o: (nat > $o) > ((nat > $o) > $o) > $o).
1.02/0.63	thf(func_def_139, type, member1391860553e_indi: (nat > arrow_1429601828e_indi) > ((nat > arrow_1429601828e_indi) > $o) > $o).
1.02/0.63	thf(func_def_140, type, member_nat_nat: (nat > nat) > ((nat > nat) > $o) > $o).
1.02/0.63	thf(func_def_141, type, member616671224t_unit: (nat > product_unit) > ((nat > product_unit) > $o) > $o).
1.02/0.63	thf(func_def_142, type, member1536989448_alt_o: (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_143, type, member283501700_alt_o: (product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_144, type, member1661784200_alt_o: (product_unit > produc1501160679le_alt > $o) > ((product_unit > produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_145, type, member1827227242it_nat: (product_unit > nat) > ((product_unit > nat) > $o) > $o).
1.02/0.63	thf(func_def_146, type, member495332125le_alt: (product_unit > produc1501160679le_alt) > ((product_unit > produc1501160679le_alt) > $o) > $o).
1.02/0.63	thf(func_def_147, type, member377231867_alt_o: (produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.02/0.63	thf(func_def_148, type, member1640632174e_indi: (produc1501160679le_alt > arrow_1429601828e_indi) > ((produc1501160679le_alt > arrow_1429601828e_indi) > $o) > $o).
1.02/0.63	thf(func_def_149, type, member593902749t_unit: (produc1501160679le_alt > product_unit) > ((produc1501160679le_alt > product_unit) > $o) > $o).
1.02/0.63	thf(func_def_150, type, member_o: $o > ($o > $o) > $o).
1.02/0.63	thf(func_def_151, type, member2052026769e_indi: arrow_1429601828e_indi > (arrow_1429601828e_indi > $o) > $o).
1.02/0.63	thf(func_def_152, type, member_nat: nat > (nat > $o) > $o).
1.02/0.63	thf(func_def_153, type, member_Product_unit: product_unit > (product_unit > $o) > $o).
1.02/0.63	thf(func_def_154, type, member214075476le_alt: produc1501160679le_alt > (produc1501160679le_alt > $o) > $o).
1.02/0.63	thf(func_def_155, type, f: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_156, type, lab: produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_157, type, lba: produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_158, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.02/0.63	thf(func_def_159, type, a: arrow_475358991le_alt).
1.02/0.63	thf(func_def_160, type, b: arrow_475358991le_alt).
1.02/0.63	thf(func_def_161, type, c: arrow_475358991le_alt).
1.02/0.63	thf(func_def_162, type, d: arrow_475358991le_alt).
1.02/0.63	thf(func_def_163, type, e: arrow_475358991le_alt).
1.02/0.63	thf(func_def_164, type, h: arrow_1429601828e_indi > nat).
1.02/0.63	thf(func_def_165, type, n: nat).
1.02/0.63	thf(f2941,plain,(
1.02/0.63	  $false),
1.02/0.63	  inference(trivial_inequality_removal,[status(thm)],[f2940])).
1.02/0.63	thf(f2940,plain,(
1.02/0.63	  ($false = $true)),
1.02/0.63	  inference(boolean_simplification,[status(thm)],[f2939])).
1.02/0.63	thf(f2939,plain,(
1.02/0.63	  ($true = (~ $true))),
1.02/0.63	  inference(forward_demodulation,[status(thm)],[f2794,f2938])).
1.02/0.63	thf(f2938,plain,(
1.02/0.63	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = $true)),
1.02/0.63	  inference(backward_demodulation,[status(thm)],[f2937,f2265])).
1.02/0.63	thf(f2265,plain,(
1.02/0.63	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))) = $true)),
1.02/0.63	  inference(cnf_transformation,[status(thm)],[f1781])).
1.02/0.63	thf(f1781,plain,(
1.02/0.63	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))) = $true)),
1.02/0.63	  inference(fool_elimination,[status(thm)],[f1780])).
1.02/0.63	thf(f1780,plain,(
1.02/0.63	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X0 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_55669061_mktop @ (p @ X0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ X0)) @ (arrow_789600939_above @ (p @ X0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X0) @ e))))))),
1.02/0.63	  inference(rectify,[status(thm)],[f670])).
1.02/0.63	thf(f670,axiom,(
1.02/0.63	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X25 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X25) @ n) @ (arrow_55669061_mktop @ (p @ X25) @ e) @ (if_Pro1561232536_alt_o @ ((h @ X25) = n) @ (arrow_789600939_above @ (p @ X25) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X25) @ e))))))),
1.02/0.63	  file('/export/starexec/sandbox/tmp/tmp.yUttZKbSKy/E---3.1_25212.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)).
1.02/0.63	thf(f2937,plain,(
1.02/0.63	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))))),
1.02/0.63	  inference(binary_proxy_clausification,[status(thm)],[f2336])).
1.02/0.63	thf(f2336,plain,(
1.02/0.63	  (((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))) = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))) = $true)),
1.02/0.63	  inference(cnf_transformation,[status(thm)],[f1344])).
1.02/0.63	thf(f1344,plain,(
1.02/0.63	  (((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))) = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))) = $true)),
1.02/0.63	  inference(fool_elimination,[status(thm)],[f1343])).
1.02/0.63	thf(f1343,plain,(
1.02/0.63	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X0 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_55669061_mktop @ (p @ X0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ X0)) @ (arrow_789600939_above @ (p @ X0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X0) @ e)))))) <=> (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.02/0.63	  inference(rectify,[status(thm)],[f27])).
1.02/0.63	thf(f27,axiom,(
1.02/0.63	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X25 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X25) @ n) @ (arrow_55669061_mktop @ (p @ X25) @ e) @ (if_Pro1561232536_alt_o @ ((h @ X25) = n) @ (arrow_789600939_above @ (p @ X25) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X25) @ e)))))) <=> (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.02/0.63	  file('/export/starexec/sandbox/tmp/tmp.yUttZKbSKy/E---3.1_25212.p',fact_14_PW)).
1.02/0.63	thf(f2794,plain,(
1.02/0.63	  ($true = (~ (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))))),
1.02/0.63	  inference(cnf_transformation,[status(thm)],[f848])).
1.02/0.63	thf(f848,plain,(
1.02/0.63	  ($true = (~ (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))))),
1.02/0.63	  inference(fool_elimination,[status(thm)],[f847])).
1.02/0.63	thf(f847,plain,(
1.02/0.63	  ~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.02/0.63	  inference(rectify,[status(thm)],[f177])).
1.02/0.63	thf(f177,negated_conjecture,(
1.02/0.63	  ~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.02/0.63	  inference(negated_conjecture,[status(cth)],[f176])).
1.02/0.63	thf(f176,conjecture,(
1.02/0.63	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.02/0.63	  file('/export/starexec/sandbox/tmp/tmp.yUttZKbSKy/E---3.1_25212.p',conj_0)).
1.02/0.63	% SZS output end Proof for E---3.1_25212
1.02/0.63	% (25330)------------------------------
1.02/0.63	% (25330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.02/0.63	% (25330)Termination reason: Refutation
1.02/0.63	
1.02/0.63	% (25330)Memory used [KB]: 9466
1.02/0.63	% (25330)Time elapsed: 0.110 s
1.02/0.63	% (25330)Instructions burned: 375 (million)
1.02/0.63	% (25330)------------------------------
1.02/0.63	% (25330)------------------------------
1.02/0.63	% (25318)Success in time 0.174 s
1.02/0.63	EOF