0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n007.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 06:50:34 EDT 2025 0.12/0.35 % CPUTime : 0.19/0.36 This is a THF_ problem 0.19/0.37 Running higher-order theorem proving 0.19/0.37 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.14a7oAhPrR/E---3.1_13383.p -m 16384 -t 240 0.19/0.40 % (13494)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/2Mi) 0.19/0.40 % (13496)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_13383 for (2399ds/275Mi) 0.19/0.40 % (13497)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/18Mi) 0.19/0.40 % (13492)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_13383 for (2399ds/4Mi) 0.19/0.40 % (13491)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/183Mi) 0.19/0.40 % (13495)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_13383 for (2399ds/2Mi) 0.19/0.40 % (13493)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_13383 for (2399ds/27Mi) 0.19/0.40 % (13494)Instruction limit reached! 0.19/0.40 % (13494)------------------------------ 0.19/0.40 % (13494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.40 % (13494)Termination reason: Unknown 0.19/0.40 % (13494)Termination phase: Naming 0.19/0.40 0.19/0.40 % (13495)Instruction limit reached! 0.19/0.40 % (13495)------------------------------ 0.19/0.40 % (13495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.40 % (13495)Termination reason: Unknown 0.19/0.40 % (13495)Termination phase: Property scanning 0.19/0.40 0.19/0.40 % (13495)Memory used [KB]: 1023 0.19/0.40 % (13495)Time elapsed: 0.004 s 0.19/0.40 % (13495)Instructions burned: 3 (million) 0.19/0.40 % (13495)------------------------------ 0.19/0.40 % (13495)------------------------------ 0.19/0.40 % (13494)Memory used [KB]: 1023 0.19/0.40 % (13494)Time elapsed: 0.004 s 0.19/0.40 % (13494)Instructions burned: 3 (million) 0.19/0.40 % (13494)------------------------------ 0.19/0.40 % (13494)------------------------------ 0.19/0.40 % (13492)Instruction limit reached! 0.19/0.40 % (13492)------------------------------ 0.19/0.40 % (13492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.40 % (13492)Termination reason: Unknown 0.19/0.40 % (13492)Termination phase: Saturation 0.19/0.40 0.19/0.40 % (13492)Memory used [KB]: 1023 0.19/0.40 % (13492)Time elapsed: 0.005 s 0.19/0.40 % (13492)Instructions burned: 4 (million) 0.19/0.40 % (13492)------------------------------ 0.19/0.40 % (13492)------------------------------ 0.19/0.41 % (13497)Instruction limit reached! 0.19/0.41 % (13497)------------------------------ 0.19/0.41 % (13497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.41 % (13497)Termination reason: Unknown 0.19/0.41 % (13497)Termination phase: Saturation 0.19/0.41 0.19/0.41 % (13497)Memory used [KB]: 5628 0.19/0.41 % (13497)Time elapsed: 0.014 s 0.19/0.41 % (13497)Instructions burned: 19 (million) 0.19/0.41 % (13497)------------------------------ 0.19/0.41 % (13497)------------------------------ 0.19/0.41 % (13493)Instruction limit reached! 0.19/0.41 % (13493)------------------------------ 0.19/0.41 % (13493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.41 % (13493)Termination reason: Unknown 0.19/0.41 % (13493)Termination phase: Saturation 0.19/0.41 0.19/0.41 % (13493)Memory used [KB]: 5628 0.19/0.41 % (13493)Time elapsed: 0.020 s 0.19/0.41 % (13493)Instructions burned: 28 (million) 0.19/0.41 % (13493)------------------------------ 0.19/0.41 % (13493)------------------------------ 0.19/0.42 % (13498)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_13383 for (2399ds/3Mi) 0.19/0.42 % (13499)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_13383 for (2399ds/37Mi) 0.19/0.42 % (13500)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_13383 for (2399ds/15Mi) 0.19/0.42 % (13498)Instruction limit reached! 0.19/0.42 % (13498)------------------------------ 0.19/0.42 % (13498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.42 % (13498)Termination reason: Unknown 0.19/0.42 % (13498)Termination phase: Saturation 0.19/0.42 0.19/0.42 % (13498)Memory used [KB]: 1023 0.19/0.42 % (13498)Time elapsed: 0.004 s 0.19/0.42 % (13498)Instructions burned: 3 (million) 0.19/0.42 % (13498)------------------------------ 0.19/0.42 % (13498)------------------------------ 0.19/0.43 % (13501)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_13383 for (2399ds/3Mi) 0.19/0.43 % (13500)Instruction limit reached! 0.19/0.43 % (13500)------------------------------ 0.19/0.43 % (13500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.43 % (13500)Termination reason: Unknown 0.19/0.43 % (13500)Termination phase: Saturation 0.19/0.43 0.19/0.43 % (13500)Memory used [KB]: 5756 0.19/0.43 % (13500)Time elapsed: 0.012 s 0.19/0.43 % (13500)Instructions burned: 16 (million) 0.19/0.43 % (13500)------------------------------ 0.19/0.43 % (13500)------------------------------ 0.19/0.43 % (13501)Instruction limit reached! 0.19/0.43 % (13501)------------------------------ 0.19/0.43 % (13501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.43 % (13501)Termination reason: Unknown 0.19/0.43 % (13501)Termination phase: Saturation 0.19/0.43 0.19/0.43 % (13501)Memory used [KB]: 1023 0.19/0.43 % (13501)Time elapsed: 0.004 s 0.19/0.43 % (13501)Instructions burned: 3 (million) 0.19/0.43 % (13501)------------------------------ 0.19/0.43 % (13501)------------------------------ 0.22/0.43 % (13502)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_13383 for (2399ds/1041Mi) 0.22/0.44 % (13503)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/7Mi) 0.22/0.44 % (13499)Instruction limit reached! 0.22/0.44 % (13499)------------------------------ 0.22/0.44 % (13499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (13499)Termination reason: Unknown 0.22/0.44 % (13499)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (13499)Memory used [KB]: 6140 0.22/0.44 % (13499)Time elapsed: 0.023 s 0.22/0.44 % (13499)Instructions burned: 38 (million) 0.22/0.44 % (13499)------------------------------ 0.22/0.44 % (13499)------------------------------ 0.22/0.44 % (13503)Instruction limit reached! 0.22/0.44 % (13503)------------------------------ 0.22/0.44 % (13503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (13503)Termination reason: Unknown 0.22/0.44 % (13503)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (13503)Memory used [KB]: 1151 0.22/0.44 % (13503)Time elapsed: 0.007 s 0.22/0.44 % (13503)Instructions burned: 8 (million) 0.22/0.44 % (13503)------------------------------ 0.22/0.44 % (13503)------------------------------ 0.22/0.44 % (13504)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/16Mi) 0.22/0.45 % (13505)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_13383 for (2399ds/3Mi) 0.22/0.45 % (13505)Instruction limit reached! 0.22/0.45 % (13505)------------------------------ 0.22/0.45 % (13505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.45 % (13505)Termination reason: Unknown 0.22/0.45 % (13505)Termination phase: Property scanning 0.22/0.45 0.22/0.45 % (13505)Memory used [KB]: 1023 0.22/0.45 % (13505)Time elapsed: 0.004 s 0.22/0.45 % (13505)Instructions burned: 4 (million) 0.22/0.45 % (13505)------------------------------ 0.22/0.45 % (13505)------------------------------ 0.22/0.46 % (13506)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_13383 for (2399ds/3Mi) 0.22/0.46 % (13504)Instruction limit reached! 0.22/0.46 % (13504)------------------------------ 0.22/0.46 % (13504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (13504)Termination reason: Unknown 0.22/0.46 % (13504)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (13504)Memory used [KB]: 5884 0.22/0.46 % (13504)Time elapsed: 0.013 s 0.22/0.46 % (13504)Instructions burned: 17 (million) 0.22/0.46 % (13504)------------------------------ 0.22/0.46 % (13504)------------------------------ 0.22/0.46 % (13506)Instruction limit reached! 0.22/0.46 % (13506)------------------------------ 0.22/0.46 % (13506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (13506)Termination reason: Unknown 0.22/0.46 % (13506)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (13506)Memory used [KB]: 1023 0.22/0.46 % (13506)Time elapsed: 0.004 s 0.22/0.46 % (13506)Instructions burned: 4 (million) 0.22/0.46 % (13506)------------------------------ 0.22/0.46 % (13506)------------------------------ 0.22/0.46 % (13507)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_13383 for (2399ds/7Mi) 0.22/0.46 % (13507)Refutation not found, incomplete strategy 0.22/0.46 % (13507)------------------------------ 0.22/0.46 % (13507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (13507)Termination reason: Refutation not found, incomplete strategy 0.22/0.46 0.22/0.46 0.22/0.46 % (13507)Memory used [KB]: 5500 0.22/0.46 % (13507)Time elapsed: 0.028 s 0.22/0.46 % (13507)Instructions burned: 6 (million) 0.22/0.46 % (13507)------------------------------ 0.22/0.46 % (13507)------------------------------ 0.22/0.47 % (13508)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_13383 for (2399ds/3Mi) 0.22/0.47 % (13508)Instruction limit reached! 0.22/0.47 % (13508)------------------------------ 0.22/0.47 % (13508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.47 % (13508)Termination reason: Unknown 0.22/0.47 % (13508)Termination phase: Property scanning 0.22/0.47 0.22/0.47 % (13508)Memory used [KB]: 1023 0.22/0.47 % (13508)Time elapsed: 0.004 s 0.22/0.47 % (13508)Instructions burned: 4 (million) 0.22/0.47 % (13508)------------------------------ 0.22/0.47 % (13508)------------------------------ 0.22/0.47 % (13509)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/4Mi) 0.22/0.48 % (13510)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_13383 for (2399ds/18Mi) 0.22/0.48 % (13509)Instruction limit reached! 0.22/0.48 % (13509)------------------------------ 0.22/0.48 % (13509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.48 % (13509)Termination reason: Unknown 0.22/0.48 % (13509)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (13509)Memory used [KB]: 5500 0.22/0.48 % (13509)Time elapsed: 0.005 s 0.22/0.48 % (13509)Instructions burned: 4 (million) 0.22/0.48 % (13509)------------------------------ 0.22/0.48 % (13509)------------------------------ 0.22/0.48 % (13511)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/710Mi) 0.22/0.48 % (13512)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_13383 for (2399ds/6Mi) 0.22/0.48 % (13512)Instruction limit reached! 0.22/0.48 % (13512)------------------------------ 0.22/0.48 % (13512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.48 % (13512)Termination reason: Unknown 0.22/0.48 % (13512)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (13512)Memory used [KB]: 5500 0.22/0.48 % (13512)Time elapsed: 0.004 s 0.22/0.48 % (13512)Instructions burned: 7 (million) 0.22/0.48 % (13512)------------------------------ 0.22/0.48 % (13512)------------------------------ 0.22/0.49 % (13510)Instruction limit reached! 0.22/0.49 % (13510)------------------------------ 0.22/0.49 % (13510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.49 % (13510)Termination reason: Unknown 0.22/0.49 % (13510)Termination phase: Saturation 0.22/0.49 0.22/0.49 % (13510)Memory used [KB]: 5628 0.22/0.49 % (13510)Time elapsed: 0.037 s 0.22/0.49 % (13510)Instructions burned: 18 (million) 0.22/0.49 % (13510)------------------------------ 0.22/0.49 % (13510)------------------------------ 0.22/0.49 % (13513)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_13383 for (2398ds/902Mi) 0.22/0.49 % (13514)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_13383 for (2398ds/21Mi) 0.22/0.50 % (13491)Instruction limit reached! 0.22/0.50 % (13491)------------------------------ 0.22/0.50 % (13491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.50 % (13491)Termination reason: Unknown 0.22/0.50 % (13491)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (13491)Memory used [KB]: 6652 0.22/0.50 % (13491)Time elapsed: 0.101 s 0.22/0.50 % (13491)Instructions burned: 183 (million) 0.22/0.50 % (13491)------------------------------ 0.22/0.50 % (13491)------------------------------ 0.22/0.50 % (13515)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_13383 for (2398ds/5Mi) 0.22/0.50 % (13515)Instruction limit reached! 0.22/0.50 % (13515)------------------------------ 0.22/0.50 % (13515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.50 % (13515)Termination reason: Unknown 0.22/0.50 % (13515)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (13515)Memory used [KB]: 5500 0.22/0.50 % (13515)Time elapsed: 0.004 s 0.22/0.50 % (13515)Instructions burned: 5 (million) 0.22/0.50 % (13515)------------------------------ 0.22/0.50 % (13515)------------------------------ 0.22/0.50 % (13514)Instruction limit reached! 0.22/0.50 % (13514)------------------------------ 0.22/0.50 % (13514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.50 % (13514)Termination reason: Unknown 0.22/0.50 % (13514)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (13514)Memory used [KB]: 5628 0.22/0.50 % (13514)Time elapsed: 0.010 s 0.22/0.50 % (13514)Instructions burned: 23 (million) 0.22/0.50 % (13514)------------------------------ 0.22/0.50 % (13514)------------------------------ 0.22/0.51 % (13516)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_13383 for (2398ds/6Mi) 0.22/0.51 % (13517)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_13383 for (2398ds/377Mi) 0.22/0.51 % (13516)Instruction limit reached! 0.22/0.51 % (13516)------------------------------ 0.22/0.51 % (13516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.51 % (13516)Termination reason: Unknown 0.22/0.51 % (13516)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (13516)Memory used [KB]: 5500 0.22/0.51 % (13516)Time elapsed: 0.005 s 0.22/0.51 % (13516)Instructions burned: 6 (million) 0.22/0.51 % (13516)------------------------------ 0.22/0.51 % (13516)------------------------------ 0.22/0.51 % (13518)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_13383 for (2398ds/779Mi) 0.22/0.52 % (13496)Instruction limit reached! 0.22/0.52 % (13496)------------------------------ 0.22/0.52 % (13496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.52 % (13496)Termination reason: Unknown 0.22/0.52 % (13496)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (13496)Memory used [KB]: 5884 0.22/0.52 % (13496)Time elapsed: 0.127 s 0.22/0.52 % (13496)Instructions burned: 277 (million) 0.22/0.52 % (13496)------------------------------ 0.22/0.52 % (13496)------------------------------ 0.22/0.53 % (13519)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_13383 for (2398ds/19Mi) 0.22/0.53 % (13520)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_13383 for (2398ds/879Mi) 0.22/0.53 % (13519)Instruction limit reached! 0.22/0.53 % (13519)------------------------------ 0.22/0.53 % (13519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.53 % (13519)Termination reason: Unknown 0.22/0.53 % (13519)Termination phase: Saturation 0.22/0.53 0.22/0.53 % (13519)Memory used [KB]: 5628 0.22/0.53 % (13519)Time elapsed: 0.008 s 0.22/0.53 % (13519)Instructions burned: 19 (million) 0.22/0.53 % (13519)------------------------------ 0.22/0.53 % (13519)------------------------------ 1.35/0.55 % (13521)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_13383 for (2398ds/17Mi) 1.35/0.56 % (13521)Instruction limit reached! 1.35/0.56 % (13521)------------------------------ 1.35/0.56 % (13521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.35/0.56 % (13521)Termination reason: Unknown 1.35/0.56 % (13521)Termination phase: Saturation 1.35/0.56 1.35/0.56 % (13521)Memory used [KB]: 5756 1.35/0.56 % (13521)Time elapsed: 0.009 s 1.35/0.56 % (13521)Instructions burned: 17 (million) 1.35/0.56 % (13521)------------------------------ 1.35/0.56 % (13521)------------------------------ 1.49/0.57 % (13522)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_13383 for (2398ds/3Mi) 1.49/0.57 % (13522)Instruction limit reached! 1.49/0.57 % (13522)------------------------------ 1.49/0.57 % (13522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.49/0.57 % (13522)Termination reason: Unknown 1.49/0.57 % (13522)Termination phase: Property scanning 1.49/0.57 1.49/0.57 % (13522)Memory used [KB]: 1023 1.49/0.57 % (13522)Time elapsed: 0.003 s 1.49/0.57 % (13522)Instructions burned: 4 (million) 1.49/0.57 % (13522)------------------------------ 1.49/0.57 % (13522)------------------------------ 1.49/0.58 % (13523)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_13383 for (2398ds/30Mi) 1.49/0.60 % (13523)Instruction limit reached! 1.49/0.60 % (13523)------------------------------ 1.49/0.60 % (13523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.49/0.60 % (13523)Termination reason: Unknown 1.49/0.60 % (13523)Termination phase: Saturation 1.49/0.60 1.49/0.60 % (13523)Memory used [KB]: 5628 1.49/0.60 % (13523)Time elapsed: 0.013 s 1.49/0.60 % (13523)Instructions burned: 30 (million) 1.49/0.60 % (13523)------------------------------ 1.49/0.60 % (13523)------------------------------ 1.49/0.61 % (13524)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_13383 for (2397ds/127Mi) 1.83/0.63 % (13517)Instruction limit reached! 1.83/0.63 % (13517)------------------------------ 1.83/0.63 % (13517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.63 % (13517)Termination reason: Unknown 1.83/0.63 % (13517)Termination phase: Saturation 1.83/0.63 1.83/0.63 % (13517)Memory used [KB]: 6268 1.83/0.63 % (13517)Time elapsed: 0.119 s 1.83/0.63 % (13517)Instructions burned: 379 (million) 1.83/0.63 % (13517)------------------------------ 1.83/0.63 % (13517)------------------------------ 1.83/0.64 % (13525)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_13383 for (2397ds/100Mi) 1.97/0.65 % (13524)Instruction limit reached! 1.97/0.65 % (13524)------------------------------ 1.97/0.65 % (13524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.97/0.65 % (13524)Termination reason: Unknown 1.97/0.65 % (13524)Termination phase: Saturation 1.97/0.65 1.97/0.65 % (13524)Memory used [KB]: 5884 1.97/0.65 % (13524)Time elapsed: 0.046 s 1.97/0.65 % (13524)Instructions burned: 129 (million) 1.97/0.65 % (13524)------------------------------ 1.97/0.65 % (13524)------------------------------ 1.97/0.66 % (13526)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_13383 for (2397ds/3Mi) 1.97/0.66 % (13526)Instruction limit reached! 1.97/0.66 % (13526)------------------------------ 1.97/0.66 % (13526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.97/0.66 % (13526)Termination reason: Unknown 1.97/0.66 % (13526)Termination phase: Saturation 1.97/0.66 1.97/0.66 % (13526)Memory used [KB]: 5500 1.97/0.66 % (13526)Time elapsed: 0.003 s 1.97/0.66 % (13526)Instructions burned: 5 (million) 1.97/0.66 % (13526)------------------------------ 1.97/0.66 % (13526)------------------------------ 1.97/0.67 % (13525)Instruction limit reached! 1.97/0.67 % (13525)------------------------------ 1.97/0.67 % (13525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.97/0.67 % (13525)Termination reason: Unknown 1.97/0.67 % (13525)Termination phase: Saturation 1.97/0.67 1.97/0.67 % (13525)Memory used [KB]: 5884 1.97/0.67 % (13525)Time elapsed: 0.033 s 1.97/0.67 % (13525)Instructions burned: 100 (million) 1.97/0.67 % (13525)------------------------------ 1.97/0.67 % (13525)------------------------------ 1.97/0.67 % (13527)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_13383 for (2397ds/20Mi) 1.97/0.68 % (13527)Instruction limit reached! 1.97/0.68 % (13527)------------------------------ 1.97/0.68 % (13527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.97/0.68 % (13527)Termination reason: Unknown 1.97/0.68 % (13527)Termination phase: Saturation 1.97/0.68 1.97/0.68 % (13527)Memory used [KB]: 5628 1.97/0.68 % (13527)Time elapsed: 0.009 s 1.97/0.68 % (13527)Instructions burned: 22 (million) 1.97/0.68 % (13527)------------------------------ 1.97/0.68 % (13527)------------------------------ 1.97/0.68 % (13528)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_13383 for (2397ds/86Mi) 1.97/0.69 % (13529)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_13383 for (2397ds/107Mi) 1.97/0.71 % (13528)Instruction limit reached! 1.97/0.71 % (13528)------------------------------ 1.97/0.71 % (13528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.97/0.71 % (13528)Termination reason: Unknown 1.97/0.71 % (13528)Termination phase: Saturation 1.97/0.71 1.97/0.71 % (13528)Memory used [KB]: 5756 1.97/0.71 % (13528)Time elapsed: 0.028 s 1.97/0.71 % (13528)Instructions burned: 86 (million) 1.97/0.71 % (13528)------------------------------ 1.97/0.71 % (13528)------------------------------ 1.97/0.72 % (13511)Instruction limit reached! 1.97/0.72 % (13511)------------------------------ 1.97/0.72 % (13511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.97/0.72 % (13511)Termination reason: Unknown 1.97/0.72 % (13511)Termination phase: Saturation 1.97/0.72 1.97/0.72 % (13511)Memory used [KB]: 7547 1.97/0.72 % (13511)Time elapsed: 0.239 s 1.97/0.72 % (13511)Instructions burned: 711 (million) 1.97/0.72 % (13511)------------------------------ 1.97/0.72 % (13511)------------------------------ 2.49/0.72 % (13530)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/39Mi) 2.49/0.73 % (13531)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/448Mi) 2.49/0.73 % (13529)Instruction limit reached! 2.49/0.73 % (13529)------------------------------ 2.49/0.73 % (13529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.49/0.73 % (13529)Termination reason: Unknown 2.49/0.73 % (13529)Termination phase: Saturation 2.49/0.73 2.49/0.73 % (13529)Memory used [KB]: 6012 2.49/0.73 % (13529)Time elapsed: 0.038 s 2.49/0.73 % (13529)Instructions burned: 107 (million) 2.49/0.73 % (13529)------------------------------ 2.49/0.73 % (13529)------------------------------ 2.49/0.73 % (13530)Instruction limit reached! 2.49/0.73 % (13530)------------------------------ 2.49/0.73 % (13530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.49/0.73 % (13530)Termination reason: Unknown 2.49/0.73 % (13530)Termination phase: Saturation 2.49/0.73 2.49/0.73 % (13530)Memory used [KB]: 5756 2.49/0.73 % (13530)Time elapsed: 0.015 s 2.49/0.73 % (13530)Instructions burned: 41 (million) 2.49/0.73 % (13530)------------------------------ 2.49/0.73 % (13530)------------------------------ 2.49/0.74 % (13532)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/46Mi) 2.49/0.75 % (13533)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/98Mi) 2.49/0.76 % (13532)Instruction limit reached! 2.49/0.76 % (13532)------------------------------ 2.49/0.76 % (13532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.49/0.76 % (13532)Termination reason: Unknown 2.49/0.76 % (13532)Termination phase: Saturation 2.49/0.76 2.49/0.76 % (13532)Memory used [KB]: 5884 2.49/0.76 % (13532)Time elapsed: 0.039 s 2.49/0.76 % (13532)Instructions burned: 47 (million) 2.49/0.76 % (13532)------------------------------ 2.49/0.76 % (13532)------------------------------ 2.49/0.76 % (13518)Instruction limit reached! 2.49/0.76 % (13518)------------------------------ 2.49/0.76 % (13518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.49/0.76 % (13518)Termination reason: Unknown 2.49/0.76 % (13518)Termination phase: Saturation 2.49/0.76 2.49/0.76 % (13518)Memory used [KB]: 6268 2.49/0.76 % (13518)Time elapsed: 0.246 s 2.49/0.76 % (13518)Instructions burned: 779 (million) 2.49/0.76 % (13518)------------------------------ 2.49/0.76 % (13518)------------------------------ 2.77/0.77 % (13534)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/507Mi) 2.77/0.77 % (13513)Instruction limit reached! 2.77/0.77 % (13513)------------------------------ 2.77/0.77 % (13513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.77 % (13513)Termination reason: Unknown 2.77/0.77 % (13513)Termination phase: Saturation 2.77/0.77 2.77/0.77 % (13513)Memory used [KB]: 6012 2.77/0.77 % (13513)Time elapsed: 0.276 s 2.77/0.77 % (13513)Instructions burned: 904 (million) 2.77/0.77 % (13513)------------------------------ 2.77/0.77 % (13513)------------------------------ 2.77/0.77 % (13535)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/149Mi) 2.77/0.77 % (13502)Instruction limit reached! 2.77/0.77 % (13502)------------------------------ 2.77/0.77 % (13502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.77 % (13502)Termination reason: Unknown 2.77/0.77 % (13502)Termination phase: Saturation 2.77/0.77 2.77/0.77 % (13502)Memory used [KB]: 7803 2.77/0.77 % (13502)Time elapsed: 0.344 s 2.77/0.77 % (13502)Instructions burned: 1043 (million) 2.77/0.77 % (13502)------------------------------ 2.77/0.77 % (13502)------------------------------ 2.77/0.78 % (13533)Instruction limit reached! 2.77/0.78 % (13533)------------------------------ 2.77/0.78 % (13533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.78 % (13533)Termination reason: Unknown 2.77/0.78 % (13533)Termination phase: Saturation 2.77/0.78 2.77/0.78 % (13533)Memory used [KB]: 1407 2.77/0.78 % (13533)Time elapsed: 0.056 s 2.77/0.78 % (13533)Instructions burned: 98 (million) 2.77/0.78 % (13533)------------------------------ 2.77/0.78 % (13533)------------------------------ 2.77/0.78 % (13536)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/39Mi) 2.77/0.78 % (13537)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_13383 for (2396ds/6Mi) 2.77/0.79 % (13538)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/1087Mi) 2.77/0.79 % (13537)Instruction limit reached! 2.77/0.79 % (13537)------------------------------ 2.77/0.79 % (13537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.79 % (13537)Termination reason: Unknown 2.77/0.79 % (13537)Termination phase: Saturation 2.77/0.79 2.77/0.79 % (13537)Memory used [KB]: 10106 2.77/0.79 % (13537)Time elapsed: 0.005 s 2.77/0.79 % (13537)Instructions burned: 7 (million) 2.77/0.79 % (13537)------------------------------ 2.77/0.79 % (13537)------------------------------ 2.77/0.79 % (13536)Instruction limit reached! 2.77/0.79 % (13536)------------------------------ 2.77/0.79 % (13536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.79 % (13536)Termination reason: Unknown 2.77/0.79 % (13536)Termination phase: Saturation 2.77/0.79 2.77/0.79 % (13536)Memory used [KB]: 5628 2.77/0.79 % (13536)Time elapsed: 0.039 s 2.77/0.79 % (13536)Instructions burned: 39 (million) 2.77/0.79 % (13536)------------------------------ 2.77/0.79 % (13536)------------------------------ 2.77/0.80 % (13539)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/47Mi) 2.77/0.80 % (13540)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/44Mi) 2.77/0.81 % (13539)Instruction limit reached! 2.77/0.81 % (13539)------------------------------ 2.77/0.81 % (13539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.81 % (13539)Termination reason: Unknown 2.77/0.81 % (13539)Termination phase: Saturation 2.77/0.81 2.77/0.81 % (13539)Memory used [KB]: 5628 2.77/0.81 % (13539)Time elapsed: 0.018 s 2.77/0.81 % (13539)Instructions burned: 47 (million) 2.77/0.81 % (13539)------------------------------ 2.77/0.81 % (13539)------------------------------ 2.77/0.82 % (13540)Instruction limit reached! 2.77/0.82 % (13540)------------------------------ 2.77/0.82 % (13540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.82 % (13540)Termination reason: Unknown 2.77/0.82 % (13540)Termination phase: Saturation 2.77/0.82 2.77/0.82 % (13540)Memory used [KB]: 1279 2.77/0.82 % (13540)Time elapsed: 0.017 s 2.77/0.82 % (13540)Instructions burned: 44 (million) 2.77/0.82 % (13540)------------------------------ 2.77/0.82 % (13540)------------------------------ 2.77/0.82 % (13520)Instruction limit reached! 2.77/0.82 % (13520)------------------------------ 2.77/0.82 % (13520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.82 % (13520)Termination reason: Unknown 2.77/0.82 % (13520)Termination phase: Saturation 2.77/0.82 2.77/0.82 % (13520)Memory used [KB]: 7547 2.77/0.82 % (13520)Time elapsed: 0.288 s 2.77/0.82 % (13520)Instructions burned: 880 (million) 2.77/0.82 % (13520)------------------------------ 2.77/0.82 % (13520)------------------------------ 2.77/0.82 % (13535)Instruction limit reached! 2.77/0.82 % (13535)------------------------------ 2.77/0.82 % (13535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.82 % (13535)Termination reason: Unknown 2.77/0.82 % (13535)Termination phase: Saturation 2.77/0.82 2.77/0.82 % (13535)Memory used [KB]: 6012 2.77/0.82 % (13535)Time elapsed: 0.077 s 2.77/0.82 % (13535)Instructions burned: 151 (million) 2.77/0.82 % (13535)------------------------------ 2.77/0.82 % (13535)------------------------------ 2.77/0.82 % (13541)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/432Mi) 2.77/0.83 % (13542)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/62Mi) 2.77/0.83 % (13543)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/31Mi) 2.77/0.83 % (13544)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/96Mi) 2.77/0.84 % (13543)Instruction limit reached! 2.77/0.84 % (13543)------------------------------ 2.77/0.84 % (13543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.77/0.84 % (13543)Termination reason: Unknown 2.77/0.84 % (13543)Termination phase: Saturation 2.77/0.84 2.77/0.84 % (13543)Memory used [KB]: 5628 2.77/0.84 % (13543)Time elapsed: 0.011 s 2.77/0.84 % (13543)Instructions burned: 31 (million) 2.77/0.84 % (13543)------------------------------ 2.77/0.84 % (13543)------------------------------ 3.08/0.85 % (13542)Instruction limit reached! 3.08/0.85 % (13542)------------------------------ 3.08/0.85 % (13542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.08/0.85 % (13542)Termination reason: Unknown 3.08/0.85 % (13542)Termination phase: Saturation 3.08/0.85 3.08/0.85 % (13542)Memory used [KB]: 6012 3.08/0.85 % (13542)Time elapsed: 0.022 s 3.08/0.85 % (13542)Instructions burned: 65 (million) 3.08/0.85 % (13542)------------------------------ 3.08/0.85 % (13542)------------------------------ 3.08/0.85 % (13545)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/453Mi) 3.08/0.86 % (13546)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/71Mi) 3.08/0.86 % (13544)Instruction limit reached! 3.08/0.86 % (13544)------------------------------ 3.08/0.86 % (13544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.08/0.86 % (13544)Termination reason: Unknown 3.08/0.86 % (13544)Termination phase: Saturation 3.08/0.86 3.08/0.86 % (13544)Memory used [KB]: 5756 3.08/0.86 % (13544)Time elapsed: 0.030 s 3.08/0.86 % (13544)Instructions burned: 96 (million) 3.08/0.86 % (13544)------------------------------ 3.08/0.86 % (13544)------------------------------ 3.08/0.86 % (13531)Instruction limit reached! 3.08/0.86 % (13531)------------------------------ 3.08/0.86 % (13531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.08/0.86 % (13531)Termination reason: Unknown 3.08/0.86 % (13531)Termination phase: Saturation 3.08/0.86 3.08/0.86 % (13531)Memory used [KB]: 6268 3.08/0.86 % (13531)Time elapsed: 0.157 s 3.08/0.86 % (13531)Instructions burned: 449 (million) 3.08/0.86 % (13531)------------------------------ 3.08/0.86 % (13531)------------------------------ 3.08/0.87 % (13547)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/83Mi) 3.08/0.87 % (13548)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/11Mi) 3.29/0.87 % (13548)Instruction limit reached! 3.29/0.87 % (13548)------------------------------ 3.29/0.87 % (13548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.29/0.87 % (13548)Termination reason: Unknown 3.29/0.87 % (13548)Termination phase: Saturation 3.29/0.87 3.29/0.87 % (13548)Memory used [KB]: 5628 3.29/0.87 % (13548)Time elapsed: 0.005 s 3.29/0.87 % (13548)Instructions burned: 13 (million) 3.29/0.87 % (13548)------------------------------ 3.29/0.87 % (13548)------------------------------ 3.29/0.88 % (13546)Instruction limit reached! 3.29/0.88 % (13546)------------------------------ 3.29/0.88 % (13546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.29/0.88 % (13546)Termination reason: Unknown 3.29/0.88 % (13546)Termination phase: Saturation 3.29/0.88 3.29/0.88 % (13546)Memory used [KB]: 5884 3.29/0.88 % (13546)Time elapsed: 0.023 s 3.29/0.88 % (13546)Instructions burned: 71 (million) 3.29/0.88 % (13546)------------------------------ 3.29/0.88 % (13546)------------------------------ 3.29/0.88 % (13549)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/41Mi) 3.29/0.89 % (13550)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_13383 for (2395ds/6Mi) 3.29/0.89 % (13550)Instruction limit reached! 3.29/0.89 % (13550)------------------------------ 3.29/0.89 % (13550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.29/0.89 % (13550)Termination reason: Unknown 3.29/0.89 % (13550)Termination phase: Saturation 3.29/0.89 3.29/0.89 % (13550)Memory used [KB]: 5500 3.29/0.89 % (13550)Time elapsed: 0.003 s 3.29/0.89 % (13550)Instructions burned: 6 (million) 3.29/0.89 % (13550)------------------------------ 3.29/0.89 % (13550)------------------------------ 3.29/0.89 % (13547)Instruction limit reached! 3.29/0.89 % (13547)------------------------------ 3.29/0.89 % (13547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.29/0.89 % (13547)Termination reason: Unknown 3.29/0.89 % (13547)Termination phase: Saturation 3.29/0.89 3.29/0.89 % (13547)Memory used [KB]: 5756 3.29/0.89 % (13547)Time elapsed: 0.026 s 3.29/0.89 % (13547)Instructions burned: 84 (million) 3.29/0.89 % (13547)------------------------------ 3.29/0.89 % (13547)------------------------------ 3.29/0.90 % (13549)Instruction limit reached! 3.29/0.90 % (13549)------------------------------ 3.29/0.90 % (13549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.29/0.90 % (13549)Termination reason: Unknown 3.29/0.90 % (13549)Termination phase: Saturation 3.29/0.90 3.29/0.90 % (13549)Memory used [KB]: 5756 3.29/0.90 % (13549)Time elapsed: 0.014 s 3.29/0.90 % (13549)Instructions burned: 42 (million) 3.29/0.90 % (13549)------------------------------ 3.29/0.90 % (13549)------------------------------ 3.29/0.90 % (13551)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/150Mi) 3.29/0.90 % (13552)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/343Mi) 3.29/0.91 % (13553)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/109Mi) 3.29/0.92 % (13534)Instruction limit reached! 3.29/0.92 % (13534)------------------------------ 3.29/0.92 % (13534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.29/0.92 % (13534)Termination reason: Unknown 3.29/0.92 % (13534)Termination phase: Saturation 3.29/0.92 3.29/0.92 % (13534)Memory used [KB]: 6396 3.29/0.92 % (13534)Time elapsed: 0.177 s 3.29/0.92 % (13534)Instructions burned: 507 (million) 3.29/0.92 % (13534)------------------------------ 3.29/0.92 % (13534)------------------------------ 3.57/0.93 % (13554)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/253Mi) 3.57/0.94 % (13553)Instruction limit reached! 3.57/0.94 % (13553)------------------------------ 3.57/0.94 % (13553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.57/0.94 % (13553)Termination reason: Unknown 3.57/0.94 % (13553)Termination phase: Saturation 3.57/0.94 3.57/0.94 % (13553)Memory used [KB]: 6012 3.57/0.94 % (13553)Time elapsed: 0.035 s 3.57/0.94 % (13553)Instructions burned: 109 (million) 3.57/0.94 % (13553)------------------------------ 3.57/0.94 % (13553)------------------------------ 3.57/0.94 % (13551)Instruction limit reached! 3.57/0.94 % (13551)------------------------------ 3.57/0.94 % (13551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.57/0.94 % (13551)Termination reason: Unknown 3.57/0.94 % (13551)Termination phase: Saturation 3.57/0.94 3.57/0.94 % (13551)Memory used [KB]: 5884 3.57/0.94 % (13551)Time elapsed: 0.046 s 3.57/0.94 % (13551)Instructions burned: 150 (million) 3.57/0.94 % (13551)------------------------------ 3.57/0.94 % (13551)------------------------------ 3.66/0.95 % (13541)Instruction limit reached! 3.66/0.95 % (13541)------------------------------ 3.66/0.95 % (13541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.66/0.95 % (13541)Termination reason: Unknown 3.66/0.95 % (13541)Termination phase: Saturation 3.66/0.95 3.66/0.95 % (13541)Memory used [KB]: 3198 3.66/0.95 % (13541)Time elapsed: 0.126 s 3.66/0.95 % (13541)Instructions burned: 432 (million) 3.66/0.95 % (13541)------------------------------ 3.66/0.95 % (13541)------------------------------ 3.66/0.95 % (13555)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/140Mi) 3.66/0.95 % (13556)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/614Mi) 3.66/0.96 % (13557)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/202Mi) 3.66/0.98 % (13545)Instruction limit reached! 3.66/0.98 % (13545)------------------------------ 3.66/0.98 % (13545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.66/0.98 % (13545)Termination reason: Unknown 3.66/0.98 % (13545)Termination phase: Saturation 3.66/0.98 3.66/0.98 % (13545)Memory used [KB]: 6396 3.66/0.98 % (13545)Time elapsed: 0.129 s 3.66/0.98 % (13545)Instructions burned: 456 (million) 3.66/0.98 % (13545)------------------------------ 3.66/0.98 % (13545)------------------------------ 3.66/0.99 % (13558)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_13383 for (2394ds/339Mi) 3.66/0.99 % (13555)Instruction limit reached! 3.66/0.99 % (13555)------------------------------ 3.66/0.99 % (13555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.66/0.99 % (13555)Termination reason: Unknown 3.66/0.99 % (13555)Termination phase: Saturation 3.66/0.99 3.66/0.99 % (13555)Memory used [KB]: 6140 3.66/0.99 % (13555)Time elapsed: 0.044 s 3.66/0.99 % (13555)Instructions burned: 140 (million) 3.66/0.99 % (13555)------------------------------ 3.66/0.99 % (13555)------------------------------ 3.66/1.00 % (13559)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on E---3.1_13383 for (2393ds/283Mi) 3.66/1.00 % (13554)Instruction limit reached! 3.66/1.00 % (13554)------------------------------ 3.66/1.00 % (13554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.66/1.00 % (13554)Termination reason: Unknown 3.66/1.00 % (13554)Termination phase: Saturation 3.66/1.00 3.66/1.00 % (13554)Memory used [KB]: 6012 3.66/1.00 % (13554)Time elapsed: 0.075 s 3.66/1.00 % (13554)Instructions burned: 254 (million) 3.66/1.00 % (13554)------------------------------ 3.66/1.00 % (13554)------------------------------ 3.66/1.01 % (13552)Instruction limit reached! 3.66/1.01 % (13552)------------------------------ 3.66/1.01 % (13552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.66/1.01 % (13552)Termination reason: Unknown 3.66/1.01 % (13552)Termination phase: Saturation 3.66/1.01 3.66/1.01 % (13552)Memory used [KB]: 6908 3.66/1.01 % (13552)Time elapsed: 0.106 s 3.66/1.01 % (13552)Instructions burned: 344 (million) 3.66/1.01 % (13552)------------------------------ 3.66/1.01 % (13552)------------------------------ 3.66/1.01 % (13560)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_13383 for (2393ds/134Mi) 3.66/1.02 % (13557)Instruction limit reached! 3.66/1.02 % (13557)------------------------------ 3.66/1.02 % (13557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.66/1.02 % (13557)Termination reason: Unknown 3.66/1.02 % (13557)Termination phase: Saturation 3.66/1.02 3.66/1.02 % (13557)Memory used [KB]: 6012 3.66/1.02 % (13557)Time elapsed: 0.060 s 3.66/1.02 % (13557)Instructions burned: 202 (million) 3.66/1.02 % (13557)------------------------------ 3.66/1.02 % (13557)------------------------------ 3.66/1.02 % (13561)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_13383 for (2393ds/298Mi) 4.25/1.03 % (13562)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_13383 for (2393ds/192Mi) 4.25/1.06 % (13560)Instruction limit reached! 4.25/1.06 % (13560)------------------------------ 4.25/1.06 % (13560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.25/1.06 % (13560)Termination reason: Unknown 4.25/1.06 % (13560)Termination phase: Saturation 4.25/1.06 4.25/1.06 % (13560)Memory used [KB]: 6140 4.25/1.06 % (13560)Time elapsed: 0.047 s 4.25/1.06 % (13560)Instructions burned: 134 (million) 4.25/1.06 % (13560)------------------------------ 4.25/1.06 % (13560)------------------------------ 5.01/1.08 % (13563)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_13383 for (2393ds/258Mi) 5.01/1.08 % (13559)Instruction limit reached! 5.01/1.08 % (13559)------------------------------ 5.01/1.08 % (13559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.08 % (13559)Termination reason: Unknown 5.01/1.08 % (13559)Termination phase: Saturation 5.01/1.08 5.01/1.08 % (13559)Memory used [KB]: 6908 5.01/1.08 % (13559)Time elapsed: 0.081 s 5.01/1.08 % (13559)Instructions burned: 285 (million) 5.01/1.08 % (13559)------------------------------ 5.01/1.08 % (13559)------------------------------ 5.01/1.08 % (13562)Instruction limit reached! 5.01/1.08 % (13562)------------------------------ 5.01/1.08 % (13562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.08 % (13562)Termination reason: Unknown 5.01/1.08 % (13562)Termination phase: Saturation 5.01/1.08 5.01/1.08 % (13562)Memory used [KB]: 6396 5.01/1.08 % (13562)Time elapsed: 0.057 s 5.01/1.08 % (13562)Instructions burned: 193 (million) 5.01/1.08 % (13562)------------------------------ 5.01/1.08 % (13562)------------------------------ 5.01/1.09 % (13558)Instruction limit reached! 5.01/1.09 % (13558)------------------------------ 5.01/1.09 % (13558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.09 % (13558)Termination reason: Unknown 5.01/1.09 % (13558)Termination phase: Saturation 5.01/1.09 5.01/1.09 % (13558)Memory used [KB]: 6012 5.01/1.09 % (13558)Time elapsed: 0.100 s 5.01/1.09 % (13558)Instructions burned: 339 (million) 5.01/1.09 % (13558)------------------------------ 5.01/1.09 % (13558)------------------------------ 5.01/1.09 % (13564)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/90Mi) 5.01/1.09 % (13565)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/231Mi) 5.01/1.09 % (13566)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/458Mi) 5.01/1.10 % (13538)Instruction limit reached! 5.01/1.10 % (13538)------------------------------ 5.01/1.10 % (13538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.10 % (13538)Termination reason: Unknown 5.01/1.10 % (13538)Termination phase: Saturation 5.01/1.10 5.01/1.10 % (13538)Memory used [KB]: 6396 5.01/1.10 % (13538)Time elapsed: 0.310 s 5.01/1.10 % (13538)Instructions burned: 1088 (million) 5.01/1.10 % (13538)------------------------------ 5.01/1.10 % (13538)------------------------------ 5.01/1.11 % (13567)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/31Mi) 5.01/1.11 % (13561)Instruction limit reached! 5.01/1.11 % (13561)------------------------------ 5.01/1.11 % (13561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.11 % (13561)Termination reason: Unknown 5.01/1.11 % (13561)Termination phase: Saturation 5.01/1.11 5.01/1.11 % (13561)Memory used [KB]: 6396 5.01/1.11 % (13561)Time elapsed: 0.089 s 5.01/1.11 % (13561)Instructions burned: 300 (million) 5.01/1.11 % (13561)------------------------------ 5.01/1.11 % (13561)------------------------------ 5.01/1.12 % (13567)Instruction limit reached! 5.01/1.12 % (13567)------------------------------ 5.01/1.12 % (13567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.12 % (13567)Termination reason: Unknown 5.01/1.12 % (13567)Termination phase: Saturation 5.01/1.12 5.01/1.12 % (13567)Memory used [KB]: 5628 5.01/1.12 % (13567)Time elapsed: 0.011 s 5.01/1.12 % (13567)Instructions burned: 31 (million) 5.01/1.12 % (13567)------------------------------ 5.01/1.12 % (13567)------------------------------ 5.01/1.12 % (13568)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/297Mi) 5.01/1.12 % (13564)Instruction limit reached! 5.01/1.12 % (13564)------------------------------ 5.01/1.12 % (13564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.12 % (13564)Termination reason: Unknown 5.01/1.12 % (13564)Termination phase: Saturation 5.01/1.12 5.01/1.12 % (13564)Memory used [KB]: 6012 5.01/1.12 % (13564)Time elapsed: 0.030 s 5.01/1.12 % (13564)Instructions burned: 90 (million) 5.01/1.12 % (13564)------------------------------ 5.01/1.12 % (13564)------------------------------ 5.01/1.12 % (13569)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/987Mi) 5.01/1.13 % (13570)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/182Mi) 5.01/1.13 % (13556)Instruction limit reached! 5.01/1.13 % (13556)------------------------------ 5.01/1.13 % (13556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.01/1.13 % (13556)Termination reason: Unknown 5.01/1.13 % (13556)Termination phase: Saturation 5.01/1.13 5.01/1.13 % (13556)Memory used [KB]: 6652 5.01/1.13 % (13556)Time elapsed: 0.182 s 5.01/1.13 % (13556)Instructions burned: 616 (million) 5.01/1.13 % (13556)------------------------------ 5.01/1.13 % (13556)------------------------------ 5.01/1.14 % (13571)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/182Mi) 5.31/1.15 % (13563)Instruction limit reached! 5.31/1.15 % (13563)------------------------------ 5.31/1.15 % (13563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.31/1.15 % (13563)Termination reason: Unknown 5.31/1.15 % (13563)Termination phase: Saturation 5.31/1.15 5.31/1.15 % (13563)Memory used [KB]: 5884 5.31/1.15 % (13563)Time elapsed: 0.105 s 5.31/1.15 % (13563)Instructions burned: 260 (million) 5.31/1.15 % (13563)------------------------------ 5.31/1.15 % (13563)------------------------------ 5.31/1.16 % (13565)Instruction limit reached! 5.31/1.16 % (13565)------------------------------ 5.31/1.16 % (13565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.31/1.16 % (13565)Termination reason: Unknown 5.31/1.16 % (13565)Termination phase: Saturation 5.31/1.16 5.31/1.16 % (13565)Memory used [KB]: 6396 5.31/1.16 % (13565)Time elapsed: 0.071 s 5.31/1.16 % (13565)Instructions burned: 231 (million) 5.31/1.16 % (13565)------------------------------ 5.31/1.16 % (13565)------------------------------ 5.31/1.16 % (13572)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/154Mi) 5.31/1.17 % (13572)Refutation not found, incomplete strategy 5.31/1.17 % (13572)------------------------------ 5.31/1.17 % (13572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.31/1.17 % (13572)Termination reason: Refutation not found, incomplete strategy 5.31/1.17 5.31/1.17 5.31/1.17 % (13572)Memory used [KB]: 5628 5.31/1.17 % (13572)Time elapsed: 0.003 s 5.31/1.17 % (13572)Instructions burned: 6 (million) 5.31/1.17 % (13572)------------------------------ 5.31/1.17 % (13572)------------------------------ 5.31/1.17 % (13573)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/79Mi) 5.31/1.18 % (13574)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_13383 for (2392ds/216Mi) 5.41/1.19 % (13570)Instruction limit reached! 5.41/1.19 % (13570)------------------------------ 5.41/1.19 % (13570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.41/1.19 % (13570)Termination reason: Unknown 5.41/1.19 % (13570)Termination phase: Saturation 5.41/1.19 5.41/1.19 % (13570)Memory used [KB]: 6012 5.41/1.19 % (13570)Time elapsed: 0.057 s 5.41/1.19 % (13570)Instructions burned: 184 (million) 5.41/1.19 % (13570)------------------------------ 5.41/1.19 % (13570)------------------------------ 5.41/1.20 % (13575)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/114Mi) 5.41/1.20 % (13573)Instruction limit reached! 5.41/1.20 % (13573)------------------------------ 5.41/1.20 % (13573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.41/1.20 % (13573)Termination reason: Unknown 5.41/1.20 % (13573)Termination phase: Saturation 5.41/1.20 5.41/1.20 % (13573)Memory used [KB]: 5756 5.41/1.20 % (13573)Time elapsed: 0.025 s 5.41/1.20 % (13573)Instructions burned: 80 (million) 5.41/1.20 % (13573)------------------------------ 5.41/1.20 % (13573)------------------------------ 5.41/1.20 % (13571)Instruction limit reached! 5.41/1.20 % (13571)------------------------------ 5.41/1.20 % (13571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.41/1.20 % (13571)Termination reason: Unknown 5.41/1.20 % (13571)Termination phase: Saturation 5.41/1.20 5.41/1.20 % (13571)Memory used [KB]: 6012 5.41/1.20 % (13571)Time elapsed: 0.056 s 5.41/1.20 % (13571)Instructions burned: 184 (million) 5.41/1.20 % (13571)------------------------------ 5.41/1.20 % (13571)------------------------------ 5.41/1.20 % (13568)Instruction limit reached! 5.41/1.20 % (13568)------------------------------ 5.41/1.20 % (13568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.41/1.20 % (13568)Termination reason: Unknown 5.41/1.20 % (13568)Termination phase: Saturation 5.41/1.20 5.41/1.20 % (13568)Memory used [KB]: 6524 5.41/1.20 % (13568)Time elapsed: 0.089 s 5.41/1.20 % (13568)Instructions burned: 298 (million) 5.41/1.20 % (13568)------------------------------ 5.41/1.20 % (13568)------------------------------ 5.41/1.21 % (13576)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/922Mi) 5.41/1.21 % (13577)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/182Mi) 5.41/1.21 % (13578)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/164Mi) 5.41/1.22 % (13578)Refutation not found, incomplete strategy 5.41/1.22 % (13578)------------------------------ 5.41/1.22 % (13578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.41/1.22 % (13578)Termination reason: Refutation not found, incomplete strategy 5.41/1.22 5.41/1.22 5.41/1.22 % (13578)Memory used [KB]: 1151 5.41/1.22 % (13578)Time elapsed: 0.009 s 5.41/1.22 % (13578)Instructions burned: 25 (million) 5.41/1.22 % (13578)------------------------------ 5.41/1.22 % (13578)------------------------------ 5.69/1.22 % (13566)Instruction limit reached! 5.69/1.22 % (13566)------------------------------ 5.69/1.22 % (13566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.69/1.22 % (13566)Termination reason: Unknown 5.69/1.22 % (13566)Termination phase: Saturation 5.69/1.22 5.69/1.22 % (13566)Memory used [KB]: 6396 5.69/1.22 % (13566)Time elapsed: 0.131 s 5.69/1.22 % (13566)Instructions burned: 460 (million) 5.69/1.22 % (13566)------------------------------ 5.69/1.22 % (13566)------------------------------ 5.69/1.23 % (13575)Instruction limit reached! 5.69/1.23 % (13575)------------------------------ 5.69/1.23 % (13575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.69/1.23 % (13575)Termination reason: Unknown 5.69/1.23 % (13575)Termination phase: Saturation 5.69/1.23 5.69/1.23 % (13575)Memory used [KB]: 6012 5.69/1.23 % (13575)Time elapsed: 0.034 s 5.69/1.23 % (13575)Instructions burned: 114 (million) 5.69/1.23 % (13575)------------------------------ 5.69/1.23 % (13575)------------------------------ 5.69/1.23 % (13579)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/50Mi) 5.69/1.23 % (13580)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/368Mi) 5.69/1.24 % (13581)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/1021Mi) 5.87/1.24 % (13574)Instruction limit reached! 5.87/1.24 % (13574)------------------------------ 5.87/1.24 % (13574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.87/1.24 % (13574)Termination reason: Unknown 5.87/1.24 % (13574)Termination phase: Saturation 5.87/1.24 5.87/1.24 % (13574)Memory used [KB]: 6012 5.87/1.24 % (13574)Time elapsed: 0.068 s 5.87/1.24 % (13574)Instructions burned: 218 (million) 5.87/1.24 % (13574)------------------------------ 5.87/1.24 % (13574)------------------------------ 5.87/1.25 % (13579)Instruction limit reached! 5.87/1.25 % (13579)------------------------------ 5.87/1.25 % (13579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.87/1.25 % (13579)Termination reason: Unknown 5.87/1.25 % (13579)Termination phase: Saturation 5.87/1.25 5.87/1.25 % (13579)Memory used [KB]: 10490 5.87/1.25 % (13579)Time elapsed: 0.018 s 5.87/1.25 % (13579)Instructions burned: 53 (million) 5.87/1.25 % (13579)------------------------------ 5.87/1.25 % (13579)------------------------------ 5.87/1.25 % (13582)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/267Mi) 5.87/1.26 % (13577)Instruction limit reached! 5.87/1.26 % (13577)------------------------------ 5.87/1.26 % (13577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.87/1.26 % (13577)Termination reason: Unknown 5.87/1.26 % (13583)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/204Mi) 5.87/1.26 % (13577)Termination phase: Saturation 5.87/1.26 5.87/1.26 % (13577)Memory used [KB]: 5756 5.87/1.26 % (13577)Time elapsed: 0.050 s 5.87/1.26 % (13577)Instructions burned: 184 (million) 5.87/1.26 % (13577)------------------------------ 5.87/1.26 % (13577)------------------------------ 5.87/1.27 % (13584)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/26Mi) 5.87/1.27 % (13584)Instruction limit reached! 5.87/1.27 % (13584)------------------------------ 5.87/1.27 % (13584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.87/1.27 % (13584)Termination reason: Unknown 5.87/1.27 % (13584)Termination phase: Saturation 5.87/1.27 5.87/1.27 % (13584)Memory used [KB]: 5628 5.87/1.27 % (13584)Time elapsed: 0.009 s 5.87/1.27 % (13584)Instructions burned: 26 (million) 5.87/1.27 % (13584)------------------------------ 5.87/1.27 % (13584)------------------------------ 5.87/1.28 % (13585)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on E---3.1_13383 for (2391ds/53Mi) 5.87/1.30 % (13585)Instruction limit reached! 5.87/1.30 % (13585)------------------------------ 5.87/1.30 % (13585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.87/1.30 % (13585)Termination reason: Unknown 5.87/1.30 % (13585)Termination phase: Saturation 5.87/1.30 5.87/1.30 % (13585)Memory used [KB]: 6140 5.87/1.30 % (13585)Time elapsed: 0.017 s 5.87/1.30 % (13585)Instructions burned: 54 (million) 5.87/1.30 % (13585)------------------------------ 5.87/1.30 % (13585)------------------------------ 5.87/1.31 % (13586)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on E---3.1_13383 for (2390ds/4436Mi) 6.08/1.32 % (13583)Instruction limit reached! 6.08/1.32 % (13583)------------------------------ 6.08/1.32 % (13583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.08/1.32 % (13583)Termination reason: Unknown 6.08/1.32 % (13583)Termination phase: Saturation 6.08/1.32 6.08/1.32 % (13583)Memory used [KB]: 6012 6.08/1.32 % (13583)Time elapsed: 0.062 s 6.08/1.32 % (13583)Instructions burned: 204 (million) 6.08/1.32 % (13583)------------------------------ 6.08/1.32 % (13583)------------------------------ 6.08/1.33 % (13587)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on E---3.1_13383 for (2390ds/1539Mi) 6.08/1.33 % (13582)Instruction limit reached! 6.08/1.33 % (13582)------------------------------ 6.08/1.33 % (13582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.08/1.33 % (13582)Termination reason: Unknown 6.08/1.33 % (13582)Termination phase: Saturation 6.08/1.33 6.08/1.33 % (13582)Memory used [KB]: 6396 6.08/1.33 % (13582)Time elapsed: 0.081 s 6.08/1.33 % (13582)Instructions burned: 267 (million) 6.08/1.33 % (13582)------------------------------ 6.08/1.33 % (13582)------------------------------ 6.08/1.34 % (13588)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on E---3.1_13383 for (2390ds/408Mi) 6.08/1.34 % (13580)Instruction limit reached! 6.08/1.34 % (13580)------------------------------ 6.08/1.34 % (13580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.08/1.34 % (13580)Termination reason: Unknown 6.08/1.34 % (13580)Termination phase: Saturation 6.08/1.34 6.08/1.34 % (13580)Memory used [KB]: 6268 6.08/1.34 % (13580)Time elapsed: 0.111 s 6.08/1.34 % (13580)Instructions burned: 370 (million) 6.08/1.34 % (13580)------------------------------ 6.08/1.34 % (13580)------------------------------ 6.08/1.34 % (13588)Refutation not found, incomplete strategy 6.08/1.34 % (13588)------------------------------ 6.08/1.34 % (13588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.08/1.34 % (13588)Termination reason: Refutation not found, incomplete strategy 6.08/1.34 6.08/1.34 6.08/1.34 % (13588)Memory used [KB]: 5628 6.08/1.34 % (13588)Time elapsed: 0.003 s 6.08/1.34 % (13588)Instructions burned: 6 (million) 6.08/1.34 % (13588)------------------------------ 6.08/1.34 % (13588)------------------------------ 6.08/1.35 % (13589)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on E---3.1_13383 for (2390ds/5205Mi) 6.08/1.35 % (13590)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on E---3.1_13383 for (2390ds/1913Mi) 6.37/1.41 % (13569)Instruction limit reached! 6.37/1.41 % (13569)------------------------------ 6.37/1.41 % (13569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.37/1.41 % (13569)Termination reason: Unknown 6.37/1.41 % (13569)Termination phase: Saturation 6.37/1.41 6.37/1.41 % (13569)Memory used [KB]: 7803 6.37/1.41 % (13569)Time elapsed: 0.286 s 6.37/1.41 % (13569)Instructions burned: 990 (million) 6.37/1.41 % (13569)------------------------------ 6.37/1.41 % (13569)------------------------------ 6.37/1.42 % (13591)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on E---3.1_13383 for (2389ds/4350Mi) 6.66/1.46 % (13576)Instruction limit reached! 6.66/1.46 % (13576)------------------------------ 6.66/1.46 % (13576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.66/1.46 % (13576)Termination reason: Unknown 6.66/1.46 % (13576)Termination phase: Saturation 6.66/1.46 6.66/1.46 % (13576)Memory used [KB]: 6268 6.66/1.46 % (13576)Time elapsed: 0.259 s 6.66/1.46 % (13576)Instructions burned: 924 (million) 6.66/1.46 % (13576)------------------------------ 6.66/1.46 % (13576)------------------------------ 6.66/1.47 % (13592)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on E---3.1_13383 for (2389ds/68Mi) 6.93/1.50 % (13592)Instruction limit reached! 6.93/1.50 % (13592)------------------------------ 6.93/1.50 % (13592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.93/1.50 % (13592)Termination reason: Unknown 6.93/1.50 % (13592)Termination phase: Saturation 6.93/1.50 6.93/1.50 % (13592)Memory used [KB]: 5884 6.93/1.50 % (13592)Time elapsed: 0.024 s 6.93/1.50 % (13592)Instructions burned: 70 (million) 6.93/1.50 % (13592)------------------------------ 6.93/1.50 % (13592)------------------------------ 6.93/1.51 % (13593)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on E---3.1_13383 for (2388ds/358Mi) 6.96/1.54 % (13581)Instruction limit reached! 6.96/1.54 % (13581)------------------------------ 6.96/1.54 % (13581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.96/1.54 % (13581)Termination reason: Unknown 6.96/1.54 % (13581)Termination phase: Saturation 6.96/1.54 6.96/1.54 % (13581)Memory used [KB]: 6652 6.96/1.54 % (13581)Time elapsed: 0.299 s 6.96/1.54 % (13581)Instructions burned: 1023 (million) 6.96/1.54 % (13581)------------------------------ 6.96/1.54 % (13581)------------------------------ 7.26/1.55 % (13594)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_13383 for (2388ds/31Mi) 7.26/1.56 % (13594)Instruction limit reached! 7.26/1.56 % (13594)------------------------------ 7.26/1.56 % (13594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.26/1.56 % (13594)Termination reason: Unknown 7.26/1.56 % (13594)Termination phase: Saturation 7.26/1.56 7.26/1.56 % (13594)Memory used [KB]: 5628 7.26/1.56 % (13594)Time elapsed: 0.012 s 7.26/1.56 % (13594)Instructions burned: 33 (million) 7.26/1.56 % (13594)------------------------------ 7.26/1.56 % (13594)------------------------------ 7.26/1.57 % (13595)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_13383 for (2388ds/279Mi) 7.26/1.57 % (13595)Refutation not found, incomplete strategy 7.26/1.57 % (13595)------------------------------ 7.26/1.57 % (13595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.26/1.57 % (13595)Termination reason: Refutation not found, incomplete strategy 7.26/1.57 7.26/1.57 7.26/1.57 % (13595)Memory used [KB]: 5500 7.26/1.57 % (13595)Time elapsed: 0.003 s 7.26/1.57 % (13595)Instructions burned: 6 (million) 7.26/1.57 % (13595)------------------------------ 7.26/1.57 % (13595)------------------------------ 7.26/1.58 % (13596)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_13383 for (2388ds/258Mi) 7.26/1.61 % (13593)Instruction limit reached! 7.26/1.61 % (13593)------------------------------ 7.26/1.61 % (13593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.26/1.61 % (13593)Termination reason: Unknown 7.26/1.61 % (13593)Termination phase: Saturation 7.26/1.61 7.26/1.61 % (13593)Memory used [KB]: 6140 7.26/1.61 % (13593)Time elapsed: 0.108 s 7.26/1.61 % (13593)Instructions burned: 359 (million) 7.26/1.61 % (13593)------------------------------ 7.26/1.61 % (13593)------------------------------ 8.77/1.62 % (13597)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_13383 for (2387ds/26Mi) 8.77/1.63 % (13597)Instruction limit reached! 8.77/1.63 % (13597)------------------------------ 8.77/1.63 % (13597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.77/1.63 % (13597)Termination reason: Unknown 8.77/1.63 % (13597)Termination phase: Saturation 8.77/1.63 8.77/1.63 % (13597)Memory used [KB]: 5628 8.77/1.63 % (13597)Time elapsed: 0.010 s 8.77/1.63 % (13597)Instructions burned: 28 (million) 8.77/1.63 % (13597)------------------------------ 8.77/1.63 % (13597)------------------------------ 8.77/1.64 % (13598)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on E---3.1_13383 for (2387ds/995Mi) 8.77/1.66 % (13596)Instruction limit reached! 8.77/1.66 % (13596)------------------------------ 8.77/1.66 % (13596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.77/1.66 % (13596)Termination reason: Unknown 8.77/1.66 % (13596)Termination phase: Saturation 8.77/1.66 8.77/1.66 % (13596)Memory used [KB]: 6524 8.77/1.66 % (13596)Time elapsed: 0.082 s 8.77/1.66 % (13596)Instructions burned: 260 (million) 8.77/1.66 % (13596)------------------------------ 8.77/1.66 % (13596)------------------------------ 8.77/1.67 % (13599)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on E---3.1_13383 for (2387ds/373Mi) 9.16/1.74 % (13587)First to succeed. 9.16/1.74 % (13587)Refutation found. Thanks to Tanya! 9.16/1.74 % SZS status Theorem for E---3.1_13383 9.16/1.74 % SZS output start Proof for E---3.1_13383 9.16/1.74 thf(type_def_5, type, frac: $tType). 9.16/1.74 thf(type_def_6, type, nat: $tType). 9.16/1.74 thf(func_def_0, type, frac: $tType). 9.16/1.74 thf(func_def_1, type, x: frac). 9.16/1.74 thf(func_def_2, type, y: frac). 9.16/1.74 thf(func_def_3, type, nat: $tType). 9.16/1.74 thf(func_def_4, type, some: (nat > $o) > $o). 9.16/1.74 thf(func_def_5, type, ts: nat > nat > nat). 9.16/1.74 thf(func_def_6, type, num: frac > nat). 9.16/1.74 thf(func_def_7, type, den: frac > nat). 9.16/1.74 thf(func_def_8, type, pl: nat > nat > nat). 9.16/1.74 thf(func_def_9, type, eq: frac > frac > $o). 9.16/1.74 thf(func_def_10, type, pf: frac > frac > frac). 9.16/1.74 thf(func_def_11, type, fr: nat > nat > frac). 9.16/1.74 thf(func_def_12, type, ind: (nat > $o) > nat). 9.16/1.74 thf(func_def_13, type, amone: (nat > $o) > $o). 9.16/1.74 thf(func_def_22, type, ph1: !>[X0: $tType]:(X0)). 9.16/1.74 thf(func_def_23, type, sK2: nat > nat > nat). 9.16/1.74 thf(func_def_24, type, sK3: nat). 9.16/1.74 thf(f1999,plain,( 9.16/1.74 $false), 9.16/1.74 inference(avatar_sat_refutation,[status(thm)],[f63,f113,f745,f1292,f1509,f1702,f1861,f1998])). 9.16/1.74 thf(f1998,plain,( 9.16/1.74 spl0_9 | spl0_8), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f1784,f1699,f1858])). 9.16/1.74 thf(f1858,definition,( 9.16/1.74 spl0_9 <=> ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3))), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])). 9.16/1.74 thf(f1699,definition,( 9.16/1.74 spl0_8 <=> ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) = (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y)))))), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])). 9.16/1.74 thf(f1784,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | spl0_8), 9.16/1.74 inference(duplicate_literal_removal,[status(thm)],[f1783])). 9.16/1.74 thf(f1783,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | spl0_8), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f1782])). 9.16/1.74 thf(f1782,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | (((pl @ (ts @ (num @ y) @ (den @ x)) @ sK3) = (ts @ (num @ x) @ (den @ y))) = $true) | spl0_8), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f1777])). 9.16/1.74 thf(f1777,plain,( 9.16/1.74 (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) = $true) | (((pl @ (ts @ (num @ y) @ (den @ x)) @ sK3) = (ts @ (num @ x) @ (den @ y))) = $true) | spl0_8), 9.16/1.74 inference(binary_proxy_clausification,[status(thm)],[f1776])). 9.16/1.74 thf(f1776,plain,( 9.16/1.74 (((pl @ (ts @ (num @ y) @ (den @ x)) @ sK3) = (ts @ (num @ x) @ (den @ y))) != ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3))) | spl0_8), 9.16/1.74 inference(beta_eta_normalization,[status(thm)],[f1775])). 9.16/1.74 thf(f1775,plain,( 9.16/1.74 (((^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y)))) @ sK3) != ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) @ sK3)) | spl0_8), 9.16/1.74 inference(negative_extensionality,[status(thm)],[f1701])). 9.16/1.74 thf(f1701,plain,( 9.16/1.74 ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) != (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) | spl0_8), 9.16/1.74 inference(avatar_component_clause,[status(thm)],[f1699])). 9.16/1.74 thf(f1861,plain,( 9.16/1.74 ~spl0_9 | spl0_8), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f1781,f1699,f1858])). 9.16/1.74 thf(f1781,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | spl0_8), 9.16/1.74 inference(duplicate_literal_removal,[status(thm)],[f1780])). 9.16/1.74 thf(f1780,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | ((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | spl0_8), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f1779])). 9.16/1.74 thf(f1779,plain,( 9.16/1.74 (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) = $false) | ((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) | spl0_8), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f1778])). 9.16/1.74 thf(f1778,plain,( 9.16/1.74 (((pl @ (ts @ (num @ y) @ (den @ x)) @ sK3) = (ts @ (num @ x) @ (den @ y))) = $false) | (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK3)) = $false) | spl0_8), 9.16/1.74 inference(binary_proxy_clausification,[status(thm)],[f1776])). 9.16/1.74 thf(f1702,plain,( 9.16/1.74 ~spl0_8 | spl0_2 | ~spl0_7), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f1602,f1506,f60,f1699])). 9.16/1.74 thf(f60,definition,( 9.16/1.74 spl0_2 <=> ((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) @ (ts @ (den @ x) @ (den @ y)))) @ x) = $true)), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 9.16/1.74 thf(f1506,definition,( 9.16/1.74 spl0_7 <=> ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ x))), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])). 9.16/1.74 thf(f1602,plain,( 9.16/1.74 ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) != (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) | (spl0_2 | ~spl0_7)), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f1586])). 9.16/1.74 thf(f1586,plain,( 9.16/1.74 ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) != (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) | ($true != $true) | (spl0_2 | ~spl0_7)), 9.16/1.74 inference(constrained_superposition,[status(thm)],[f62,f1508])). 9.16/1.74 thf(f1508,plain,( 9.16/1.74 ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ x)) | ~spl0_7), 9.16/1.74 inference(avatar_component_clause,[status(thm)],[f1506])). 9.16/1.74 thf(f62,plain,( 9.16/1.74 ((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) @ (ts @ (den @ x) @ (den @ y)))) @ x) != $true) | spl0_2), 9.16/1.74 inference(avatar_component_clause,[status(thm)],[f60])). 9.16/1.74 thf(f1509,plain,( 9.16/1.74 spl0_7 | ~spl0_6), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f1383,f1289,f1506])). 9.16/1.74 thf(f1289,definition,( 9.16/1.74 spl0_6 <=> ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ (ts @ (den @ x) @ (den @ y)))))), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])). 9.16/1.74 thf(f1383,plain,( 9.16/1.74 ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ x)) | ~spl0_6), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f1359])). 9.16/1.74 thf(f1359,plain,( 9.16/1.74 ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ x)) | ($true != $true) | ~spl0_6), 9.16/1.74 inference(superposition,[status(thm)],[f80,f1291])). 9.16/1.74 thf(f1291,plain,( 9.16/1.74 ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ (ts @ (den @ x) @ (den @ y))))) | ~spl0_6), 9.16/1.74 inference(avatar_component_clause,[status(thm)],[f1289])). 9.16/1.74 thf(f80,plain,( 9.16/1.74 ( ! [X2 : frac,X0 : frac,X1 : nat] : (($true != (eq @ X2 @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)))) | ((eq @ X2 @ X0) = $true)) )), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f79])). 9.16/1.74 thf(f79,plain,( 9.16/1.74 ( ! [X2 : frac,X0 : frac,X1 : nat] : (($true != $true) | ($true != (eq @ X2 @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)))) | ((eq @ X2 @ X0) = $true)) )), 9.16/1.74 inference(superposition,[status(thm)],[f50,f48])). 9.16/1.74 thf(f48,plain,( 9.16/1.74 ( ! [X0 : frac,X1 : nat] : (((eq @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)) @ X0) = $true)) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f27])). 9.16/1.74 thf(f27,plain,( 9.16/1.74 ! [X0 : frac,X1 : nat] : ((eq @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)) @ X0) = $true)), 9.16/1.74 inference(fool_elimination,[status(thm)],[f26])). 9.16/1.74 thf(f26,plain,( 9.16/1.74 ! [X0 : frac,X1 : nat] : (eq @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)) @ X0)), 9.16/1.74 inference(rectify,[status(thm)],[f9])). 9.16/1.74 thf(f9,axiom,( 9.16/1.74 ! [X1 : frac,X6 : nat] : (eq @ (fr @ (ts @ (num @ X1) @ X6) @ (ts @ (den @ X1) @ X6)) @ X1)), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz40a)). 9.16/1.74 thf(f50,plain,( 9.16/1.74 ( ! [X2 : frac,X0 : frac,X1 : frac] : (((eq @ X2 @ X0) != $true) | ((eq @ X1 @ X0) = $true) | ((eq @ X1 @ X2) != $true)) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f38])). 9.16/1.74 thf(f38,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac] : (((eq @ X1 @ X2) != $true) | ((eq @ X2 @ X0) != $true) | ((eq @ X1 @ X0) = $true))), 9.16/1.74 inference(flattening,[status(thm)],[f37])). 9.16/1.74 thf(f37,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac] : ((((eq @ X1 @ X0) = $true) | ((eq @ X2 @ X0) != $true)) | ((eq @ X1 @ X2) != $true))), 9.16/1.74 inference(ennf_transformation,[status(thm)],[f15])). 9.16/1.74 thf(f15,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac] : (((eq @ X1 @ X2) = $true) => (((eq @ X2 @ X0) = $true) => ((eq @ X1 @ X0) = $true)))), 9.16/1.74 inference(fool_elimination,[status(thm)],[f14])). 9.16/1.74 thf(f14,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac] : ((eq @ X1 @ X2) => ((eq @ X2 @ X0) => (eq @ X1 @ X0)))), 9.16/1.74 inference(rectify,[status(thm)],[f3])). 9.16/1.74 thf(f3,axiom,( 9.16/1.74 ! [X3 : frac,X1 : frac,X2 : frac] : ((eq @ X1 @ X2) => ((eq @ X2 @ X3) => (eq @ X1 @ X3)))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz39)). 9.16/1.74 thf(f1292,plain,( 9.16/1.74 spl0_6 | ~spl0_4), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f1217,f742,f1289])). 9.16/1.74 thf(f742,definition,( 9.16/1.74 spl0_4 <=> ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y)))))))), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 9.16/1.74 thf(f1217,plain,( 9.16/1.74 ($true = (eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ x) @ (den @ y)))) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ (ts @ (den @ x) @ (den @ y))))) | ~spl0_4), 9.16/1.74 inference(forward_demodulation,[status(thm)],[f1208,f43])). 9.16/1.74 thf(f43,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((ts @ X0 @ X1) = (ts @ X1 @ X0))) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f34])). 9.16/1.74 thf(f34,plain,( 9.16/1.74 ! [X0 : nat,X1 : nat] : ((ts @ X0 @ X1) = (ts @ X1 @ X0))), 9.16/1.74 inference(rectify,[status(thm)],[f4])). 9.16/1.74 thf(f4,axiom,( 9.16/1.74 ! [X1 : nat,X2 : nat] : ((ts @ X1 @ X2) = (ts @ X2 @ X1))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz29)). 9.16/1.74 thf(f1208,plain,( 9.16/1.74 ((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ y) @ (den @ x)))) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ (ts @ (den @ y) @ (den @ x)))) = $true) | ~spl0_4), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f1201])). 9.16/1.74 thf(f1201,plain,( 9.16/1.74 ((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ (ts @ (den @ y) @ (den @ x)))) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ (ts @ (den @ y) @ (den @ x)))) = $true) | ($true != $true) | ~spl0_4), 9.16/1.74 inference(superposition,[status(thm)],[f920,f209])). 9.16/1.74 thf(f209,plain,( 9.16/1.74 ( ! [X2 : nat,X0 : frac,X1 : frac] : (($true = (eq @ (pf @ X1 @ X0) @ (pf @ (fr @ (ts @ (num @ X1) @ X2) @ (ts @ (den @ X1) @ X2)) @ X0)))) )), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f198])). 9.16/1.74 thf(f198,plain,( 9.16/1.74 ( ! [X2 : nat,X0 : frac,X1 : frac] : (($true = (eq @ (pf @ X1 @ X0) @ (pf @ (fr @ (ts @ (num @ X1) @ X2) @ (ts @ (den @ X1) @ X2)) @ X0))) | ($true != $true)) )), 9.16/1.74 inference(superposition,[status(thm)],[f85,f45])). 9.16/1.74 thf(f45,plain,( 9.16/1.74 ( ! [X0 : frac] : (((eq @ X0 @ X0) = $true)) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f25])). 9.16/1.74 thf(f25,plain,( 9.16/1.74 ! [X0 : frac] : ((eq @ X0 @ X0) = $true)), 9.16/1.74 inference(fool_elimination,[status(thm)],[f24])). 9.16/1.74 thf(f24,plain,( 9.16/1.74 ! [X0 : frac] : (eq @ X0 @ X0)), 9.16/1.74 inference(rectify,[status(thm)],[f7])). 9.16/1.74 thf(f7,axiom,( 9.16/1.74 ! [X1 : frac] : (eq @ X1 @ X1)), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz37)). 9.16/1.74 thf(f85,plain,( 9.16/1.74 ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : nat] : (((eq @ X2 @ X3) != $true) | ($true = (eq @ (pf @ X0 @ X2) @ (pf @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)) @ X3)))) )), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f82])). 9.16/1.74 thf(f82,plain,( 9.16/1.74 ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : nat] : (((eq @ X2 @ X3) != $true) | ($true = (eq @ (pf @ X0 @ X2) @ (pf @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)) @ X3))) | ($true != $true)) )), 9.16/1.74 inference(superposition,[status(thm)],[f47,f44])). 9.16/1.74 thf(f44,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : frac] : (($true = (eq @ X1 @ (fr @ (ts @ (num @ X1) @ X0) @ (ts @ (den @ X1) @ X0))))) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f23])). 9.16/1.74 thf(f23,plain,( 9.16/1.74 ! [X0 : nat,X1 : frac] : ($true = (eq @ X1 @ (fr @ (ts @ (num @ X1) @ X0) @ (ts @ (den @ X1) @ X0))))), 9.16/1.74 inference(fool_elimination,[status(thm)],[f22])). 9.16/1.74 thf(f22,plain,( 9.16/1.74 ! [X0 : nat,X1 : frac] : (eq @ X1 @ (fr @ (ts @ (num @ X1) @ X0) @ (ts @ (den @ X1) @ X0)))), 9.16/1.74 inference(rectify,[status(thm)],[f11])). 9.16/1.74 thf(f11,axiom,( 9.16/1.74 ! [X6 : nat,X1 : frac] : (eq @ X1 @ (fr @ (ts @ (num @ X1) @ X6) @ (ts @ (den @ X1) @ X6)))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz40)). 9.16/1.74 thf(f47,plain,( 9.16/1.74 ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (($true != (eq @ X0 @ X1)) | ((eq @ X3 @ X2) != $true) | ($true = (eq @ (pf @ X0 @ X3) @ (pf @ X1 @ X2)))) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f40])). 9.16/1.74 thf(f40,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (($true != (eq @ X0 @ X1)) | ($true = (eq @ (pf @ X0 @ X3) @ (pf @ X1 @ X2))) | ((eq @ X3 @ X2) != $true))), 9.16/1.74 inference(flattening,[status(thm)],[f39])). 9.16/1.74 thf(f39,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((($true = (eq @ (pf @ X0 @ X3) @ (pf @ X1 @ X2))) | ((eq @ X3 @ X2) != $true)) | ($true != (eq @ X0 @ X1)))), 9.16/1.74 inference(ennf_transformation,[status(thm)],[f17])). 9.16/1.74 thf(f17,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (($true = (eq @ X0 @ X1)) => (((eq @ X3 @ X2) = $true) => ($true = (eq @ (pf @ X0 @ X3) @ (pf @ X1 @ X2)))))), 9.16/1.74 inference(fool_elimination,[status(thm)],[f16])). 9.16/1.74 thf(f16,plain,( 9.16/1.74 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X0 @ X1) => ((eq @ X3 @ X2) => (eq @ (pf @ X0 @ X3) @ (pf @ X1 @ X2))))), 9.16/1.74 inference(rectify,[status(thm)],[f8])). 9.16/1.74 thf(f8,axiom,( 9.16/1.74 ! [X1 : frac,X2 : frac,X8 : frac,X3 : frac] : ((eq @ X1 @ X2) => ((eq @ X3 @ X8) => (eq @ (pf @ X1 @ X3) @ (pf @ X2 @ X8))))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz56)). 9.16/1.74 thf(f920,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : frac] : (($true != (eq @ X1 @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ X0) @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ X0)))) | ($true = (eq @ X1 @ (fr @ (ts @ (num @ x) @ (den @ y)) @ X0)))) ) | ~spl0_4), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f896])). 9.16/1.74 thf(f896,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : frac] : (($true != $true) | ($true = (eq @ X1 @ (fr @ (ts @ (num @ x) @ (den @ y)) @ X0))) | ($true != (eq @ X1 @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ X0) @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ X0))))) ) | ~spl0_4), 9.16/1.74 inference(superposition,[status(thm)],[f50,f818])). 9.16/1.74 thf(f818,plain,( 9.16/1.74 ( ! [X0 : nat] : (((eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ X0) @ (fr @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))) @ X0)) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ X0)) = $true)) ) | ~spl0_4), 9.16/1.74 inference(superposition,[status(thm)],[f51,f744])). 9.16/1.74 thf(f744,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))))) | ~spl0_4), 9.16/1.74 inference(avatar_component_clause,[status(thm)],[f742])). 9.16/1.74 thf(f51,plain,( 9.16/1.74 ( ! [X2 : nat,X0 : nat,X1 : nat] : (((eq @ (pf @ (fr @ X1 @ X0) @ (fr @ X2 @ X0)) @ (fr @ (pl @ X1 @ X2) @ X0)) = $true)) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f33])). 9.16/1.74 thf(f33,plain,( 9.16/1.74 ! [X0 : nat,X1 : nat,X2 : nat] : ((eq @ (pf @ (fr @ X1 @ X0) @ (fr @ X2 @ X0)) @ (fr @ (pl @ X1 @ X2) @ X0)) = $true)), 9.16/1.74 inference(fool_elimination,[status(thm)],[f32])). 9.16/1.74 thf(f32,plain,( 9.16/1.74 ! [X0 : nat,X1 : nat,X2 : nat] : (eq @ (pf @ (fr @ X1 @ X0) @ (fr @ X2 @ X0)) @ (fr @ (pl @ X1 @ X2) @ X0))), 9.16/1.74 inference(rectify,[status(thm)],[f5])). 9.16/1.74 thf(f5,axiom,( 9.16/1.74 ! [X6 : nat,X4 : nat,X5 : nat] : (eq @ (pf @ (fr @ X4 @ X6) @ (fr @ X5 @ X6)) @ (fr @ (pl @ X4 @ X5) @ X6))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz57)). 9.16/1.74 thf(f745,plain,( 9.16/1.74 spl0_4 | ~spl0_3), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f692,f110,f742])). 9.16/1.74 thf(f110,definition,( 9.16/1.74 spl0_3 <=> ((some @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) = $true)), 9.16/1.74 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 9.16/1.74 thf(f692,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))))) | ~spl0_3), 9.16/1.74 inference(subsumption_resolution,[status(thm)],[f691,f609])). 9.16/1.74 thf(f609,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0))) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1) | ((pl @ X0 @ (sK2 @ X1 @ X0)) != X1)) ) | ~spl0_3), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f608])). 9.16/1.74 thf(f608,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1) | ((pl @ X0 @ (sK2 @ X1 @ X0)) != X1) | ($false = ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0))))) ) | ~spl0_3), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f607])). 9.16/1.74 thf(f607,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : ((((pl @ X0 @ (sK2 @ X1 @ X0)) = X1) = $false) | ($false = ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0)))) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1)) ) | ~spl0_3), 9.16/1.74 inference(binary_proxy_clausification,[status(thm)],[f605])). 9.16/1.74 thf(f605,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : ((((pl @ X0 @ (sK2 @ X1 @ X0)) = X1) != ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0)))) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1)) ) | ~spl0_3), 9.16/1.74 inference(beta_eta_normalization,[status(thm)],[f604])). 9.16/1.74 thf(f604,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : ((((^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)) @ (sK2 @ X1 @ X0)) != ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) @ (sK2 @ X1 @ X0))) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1)) ) | ~spl0_3), 9.16/1.74 inference(negative_extensionality,[status(thm)],[f603])). 9.16/1.74 thf(f603,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) != (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1))) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1)) ) | ~spl0_3), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f602])). 9.16/1.74 thf(f602,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (($true != $true) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1) | ((^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))) != (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) ) | ~spl0_3), 9.16/1.74 inference(constrained_superposition,[status(thm)],[f68,f112])). 9.16/1.74 thf(f112,plain,( 9.16/1.74 ((some @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) = $true) | ~spl0_3), 9.16/1.74 inference(avatar_component_clause,[status(thm)],[f110])). 9.16/1.74 thf(f68,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (($true != (some @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1)) )), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f67])). 9.16/1.74 thf(f67,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : ((((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1) = $true) | ($true != (some @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1))))) )), 9.16/1.74 inference(beta_eta_normalization,[status(thm)],[f66])). 9.16/1.74 thf(f66,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (($true = ((^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)) @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1))))) | ($true != (some @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1))))) )), 9.16/1.74 inference(trivial_inequality_removal,[status(thm)],[f65])). 9.16/1.74 thf(f65,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (($true != (some @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) | ($true != $true) | ($true = ((^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)) @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))))) )), 9.16/1.74 inference(superposition,[status(thm)],[f53,f46])). 9.16/1.74 thf(f46,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((amone @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1))) = $true)) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f31])). 9.16/1.74 thf(f31,plain,( 9.16/1.74 ! [X0 : nat,X1 : nat] : ((amone @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1))) = $true)), 9.16/1.74 inference(fool_elimination,[status(thm)],[f30])). 9.16/1.74 thf(f30,plain,( 9.16/1.74 ! [X0 : nat,X1 : nat] : (amone @ (^[X2 : nat] : (((pl @ X0 @ X2) = X1))))), 9.16/1.74 inference(rectify,[status(thm)],[f12])). 9.16/1.74 thf(f12,axiom,( 9.16/1.74 ! [X2 : nat,X1 : nat] : (amone @ (^[X3 : nat] : (((pl @ X2 @ X3) = X1))))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz8b)). 9.16/1.74 thf(f53,plain,( 9.16/1.74 ( ! [X0 : nat > $o] : (((amone @ X0) != $true) | ((some @ X0) != $true) | ($true = (X0 @ (ind @ X0)))) )), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f42])). 9.16/1.74 thf(f42,plain,( 9.16/1.74 ! [X0 : nat > $o] : (((amone @ X0) != $true) | ($true = (X0 @ (ind @ X0))) | ((some @ X0) != $true))), 9.16/1.74 inference(flattening,[status(thm)],[f41])). 9.16/1.74 thf(f41,plain,( 9.16/1.74 ! [X0 : nat > $o] : (($true = (X0 @ (ind @ X0))) | (((some @ X0) != $true) | ((amone @ X0) != $true)))), 9.16/1.74 inference(ennf_transformation,[status(thm)],[f36])). 9.16/1.74 thf(f36,plain,( 9.16/1.74 ! [X0 : nat > $o] : (~(((amone @ X0) = $true) => ((some @ X0) != $true)) => ($true = (X0 @ (ind @ X0))))), 9.16/1.74 inference(flattening,[status(thm)],[f29])). 9.16/1.74 thf(f29,plain,( 9.16/1.74 ! [X0 : nat > $o] : (~(((amone @ X0) = $true) => ~((some @ X0) = $true)) => ($true = (X0 @ (ind @ X0))))), 9.16/1.74 inference(fool_elimination,[status(thm)],[f28])). 9.16/1.74 thf(f28,plain,( 9.16/1.74 ! [X0 : nat > $o] : (~((amone @ X0) => ~(some @ X0)) => (X0 @ (ind @ X0)))), 9.16/1.74 inference(rectify,[status(thm)],[f6])). 9.16/1.74 thf(f6,axiom,( 9.16/1.74 ! [X7 : nat > $o] : (~((amone @ X7) => ~(some @ X7)) => (X7 @ (ind @ X7)))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',oneax)). 9.16/1.74 thf(f691,plain,( 9.16/1.74 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ (ts @ (num @ x) @ (den @ y)) @ (ts @ (num @ y) @ (den @ x))))) | ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = (ts @ (num @ x) @ (den @ y))))))) | ~spl0_3), 9.16/1.74 inference(equality_resolution,[status(thm)],[f663])). 9.16/1.74 thf(f663,plain,( 9.16/1.74 ( ! [X0 : nat] : (((ts @ (num @ x) @ (den @ y)) != X0) | ((pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X0 @ (ts @ (num @ y) @ (den @ x)))) = X0) | ((pl @ (ts @ (num @ y) @ (den @ x)) @ (ind @ (^[Y0 : nat]: ((pl @ (ts @ (num @ y) @ (den @ x)) @ Y0) = X0)))) = X0)) ) | ~spl0_3), 9.16/1.74 inference(equality_factoring,[status(thm)],[f611])). 9.16/1.74 thf(f611,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0))) | ((pl @ X0 @ (sK2 @ X1 @ X0)) = X1) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1)) ) | ~spl0_3), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f610])). 9.16/1.74 thf(f610,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((pl @ X0 @ (sK2 @ X1 @ X0)) = X1) | ((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1) | ($true = ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0))))) ) | ~spl0_3), 9.16/1.74 inference(equality_proxy_clausification,[status(thm)],[f606])). 9.16/1.74 thf(f606,plain,( 9.16/1.74 ( ! [X0 : nat,X1 : nat] : (((pl @ X0 @ (ind @ (^[Y0 : nat]: ((pl @ X0 @ Y0) = X1)))) = X1) | (((pl @ X0 @ (sK2 @ X1 @ X0)) = X1) = $true) | ($true = ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ (sK2 @ X1 @ X0))))) ) | ~spl0_3), 9.16/1.74 inference(binary_proxy_clausification,[status(thm)],[f605])). 9.16/1.74 thf(f113,plain,( 9.16/1.74 spl0_3), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f52,f110])). 9.16/1.74 thf(f52,plain,( 9.16/1.74 ((some @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) = $true)), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f21])). 9.16/1.74 thf(f21,plain,( 9.16/1.74 ((some @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) = $true)), 9.16/1.74 inference(fool_elimination,[status(thm)],[f20])). 9.16/1.74 thf(f20,plain,( 9.16/1.74 (some @ (^[X0 : nat] : (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ X0)))))), 9.16/1.74 inference(rectify,[status(thm)],[f10])). 9.16/1.74 thf(f10,axiom,( 9.16/1.74 (some @ (^[X8 : nat] : (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ X8)))))), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',m)). 9.16/1.74 thf(f63,plain,( 9.16/1.74 ~spl0_2), 9.16/1.74 inference(avatar_split_clause,[status(thm)],[f49,f60])). 9.16/1.74 thf(f49,plain,( 9.16/1.74 ((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) @ (ts @ (den @ x) @ (den @ y)))) @ x) != $true)), 9.16/1.74 inference(cnf_transformation,[status(thm)],[f35])). 9.16/1.74 thf(f35,plain,( 9.16/1.74 ((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) @ (ts @ (den @ x) @ (den @ y)))) @ x) != $true)), 9.16/1.74 inference(flattening,[status(thm)],[f19])). 9.16/1.74 thf(f19,plain,( 9.16/1.74 ~((eq @ (pf @ y @ (fr @ (ind @ (^[Y0 : nat]: ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) @ (ts @ (den @ x) @ (den @ y)))) @ x) = $true)), 9.16/1.74 inference(fool_elimination,[status(thm)],[f18])). 9.16/1.74 thf(f18,plain,( 9.16/1.74 ~(eq @ (pf @ y @ (fr @ (ind @ (^[X0 : nat] : (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ X0))))) @ (ts @ (den @ x) @ (den @ y)))) @ x)), 9.16/1.74 inference(rectify,[status(thm)],[f2])). 9.16/1.74 thf(f2,negated_conjecture,( 9.16/1.74 ~(eq @ (pf @ y @ (fr @ (ind @ (^[X0 : nat] : (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ X0))))) @ (ts @ (den @ x) @ (den @ y)))) @ x)), 9.16/1.74 inference(negated_conjecture,[status(cth)],[f1])). 9.16/1.74 thf(f1,conjecture,( 9.16/1.74 (eq @ (pf @ y @ (fr @ (ind @ (^[X0 : nat] : (((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ X0))))) @ (ts @ (den @ x) @ (den @ y)))) @ x)), 9.16/1.74 file('/export/starexec/sandbox/tmp/tmp.14a7oAhPrR/E---3.1_13383.p',satz67c)). 9.16/1.74 % SZS output end Proof for E---3.1_13383 9.16/1.74 % (13587)------------------------------ 9.16/1.74 % (13587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 9.16/1.74 % (13587)Termination reason: Refutation 9.16/1.74 9.16/1.74 % (13587)Memory used [KB]: 7419 9.16/1.74 % (13587)Time elapsed: 0.413 s 9.16/1.74 % (13587)Instructions burned: 1382 (million) 9.16/1.74 % (13587)------------------------------ 9.16/1.74 % (13587)------------------------------ 9.16/1.74 % (13490)Success in time 1.35 s 9.16/1.74 EOF