0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : run_vampire %s %d THM 0.09/0.30 % Computer : n027.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Thu Jul 4 09:02:23 EDT 2024 0.09/0.30 % CPUTime : 0.16/0.31 This is a THF_ problem 0.16/0.31 Running higher-order theorem proving 0.16/0.32 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.Jb8TGifp9y/E---3.1_12553.p -m 16384 -t 180 0.16/0.33 % (12661)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/183Mi) 0.16/0.34 % (12663)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_12553 for (1799ds/27Mi) 0.16/0.34 % (12666)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_12553 for (1799ds/275Mi) 0.16/0.34 % (12667)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/18Mi) 0.16/0.34 % (12662)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_12553 for (1799ds/4Mi) 0.16/0.34 % (12665)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_12553 for (1799ds/2Mi) 0.16/0.34 % (12664)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/2Mi) 0.16/0.34 % (12665)Instruction limit reached! 0.16/0.34 % (12665)------------------------------ 0.16/0.34 % (12665)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (12665)Termination reason: Unknown 0.16/0.34 % (12665)Termination phase: shuffling 0.16/0.34 0.16/0.34 % (12665)Memory used [KB]: 1023 0.16/0.34 % (12665)Time elapsed: 0.002 s 0.16/0.34 % (12665)Instructions burned: 2 (million) 0.16/0.34 % (12665)------------------------------ 0.16/0.34 % (12665)------------------------------ 0.16/0.34 % (12664)Instruction limit reached! 0.16/0.34 % (12664)------------------------------ 0.16/0.34 % (12664)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (12664)Termination reason: Unknown 0.16/0.34 % (12664)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (12664)Memory used [KB]: 1023 0.16/0.34 % (12664)Time elapsed: 0.003 s 0.16/0.34 % (12664)Instructions burned: 3 (million) 0.16/0.34 % (12664)------------------------------ 0.16/0.34 % (12664)------------------------------ 0.16/0.34 % (12662)Instruction limit reached! 0.16/0.34 % (12662)------------------------------ 0.16/0.34 % (12662)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (12662)Termination reason: Unknown 0.16/0.34 % (12662)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (12662)Memory used [KB]: 5500 0.16/0.34 % (12662)Time elapsed: 0.004 s 0.16/0.34 % (12662)Instructions burned: 4 (million) 0.16/0.34 % (12662)------------------------------ 0.16/0.34 % (12662)------------------------------ 0.16/0.35 % (12667)Instruction limit reached! 0.16/0.35 % (12667)------------------------------ 0.16/0.35 % (12667)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (12667)Termination reason: Unknown 0.16/0.35 % (12667)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (12667)Memory used [KB]: 5628 0.16/0.35 % (12667)Time elapsed: 0.011 s 0.16/0.35 % (12667)Instructions burned: 18 (million) 0.16/0.35 % (12667)------------------------------ 0.16/0.35 % (12667)------------------------------ 0.16/0.35 % (12663)Instruction limit reached! 0.16/0.35 % (12663)------------------------------ 0.16/0.35 % (12663)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (12663)Termination reason: Unknown 0.16/0.35 % (12663)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (12663)Memory used [KB]: 5756 0.16/0.35 % (12663)Time elapsed: 0.017 s 0.16/0.35 % (12663)Instructions burned: 28 (million) 0.16/0.35 % (12663)------------------------------ 0.16/0.35 % (12663)------------------------------ 0.16/0.35 % (12668)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_12553 for (1799ds/3Mi) 0.16/0.35 % (12669)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_12553 for (1799ds/37Mi) 0.16/0.35 % (12668)Instruction limit reached! 0.16/0.35 % (12668)------------------------------ 0.16/0.35 % (12668)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (12668)Termination reason: Unknown 0.16/0.35 % (12668)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (12668)Memory used [KB]: 5500 0.16/0.35 % (12668)Time elapsed: 0.003 s 0.16/0.35 % (12668)Instructions burned: 3 (million) 0.16/0.35 % (12668)------------------------------ 0.16/0.35 % (12668)------------------------------ 0.16/0.35 % (12670)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_12553 for (1799ds/15Mi) 0.16/0.36 % (12671)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_12553 for (1799ds/3Mi) 0.16/0.36 % (12671)Instruction limit reached! 0.16/0.36 % (12671)------------------------------ 0.16/0.36 % (12671)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (12671)Termination reason: Unknown 0.16/0.36 % (12671)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (12671)Memory used [KB]: 5500 0.16/0.36 % (12671)Time elapsed: 0.004 s 0.16/0.36 % (12671)Instructions burned: 3 (million) 0.16/0.36 % (12671)------------------------------ 0.16/0.36 % (12671)------------------------------ 0.16/0.36 % (12670)Instruction limit reached! 0.16/0.36 % (12670)------------------------------ 0.16/0.36 % (12670)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (12670)Termination reason: Unknown 0.16/0.36 % (12670)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (12670)Memory used [KB]: 5628 0.16/0.36 % (12670)Time elapsed: 0.010 s 0.16/0.36 % (12670)Instructions burned: 16 (million) 0.16/0.36 % (12670)------------------------------ 0.16/0.36 % (12670)------------------------------ 0.16/0.36 % (12672)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_12553 for (1799ds/1041Mi) 0.16/0.37 % (12673)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/7Mi) 0.16/0.37 % (12673)Instruction limit reached! 0.16/0.37 % (12673)------------------------------ 0.16/0.37 % (12673)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (12673)Termination reason: Unknown 0.16/0.37 % (12673)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (12673)Memory used [KB]: 1023 0.16/0.37 % (12673)Time elapsed: 0.005 s 0.16/0.37 % (12673)Instructions burned: 7 (million) 0.16/0.37 % (12673)------------------------------ 0.16/0.37 % (12673)------------------------------ 0.16/0.37 % (12669)Instruction limit reached! 0.16/0.37 % (12669)------------------------------ 0.16/0.37 % (12669)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (12669)Termination reason: Unknown 0.16/0.37 % (12669)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (12669)Memory used [KB]: 5628 0.16/0.37 % (12669)Time elapsed: 0.020 s 0.16/0.37 % (12669)Instructions burned: 37 (million) 0.16/0.37 % (12669)------------------------------ 0.16/0.37 % (12669)------------------------------ 0.16/0.37 % (12674)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/16Mi) 0.16/0.38 % (12675)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_12553 for (1799ds/3Mi) 0.16/0.38 % (12675)Instruction limit reached! 0.16/0.38 % (12675)------------------------------ 0.16/0.38 % (12675)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (12675)Termination reason: Unknown 0.16/0.38 % (12675)Termination phase: Twee Goal Transformation 0.16/0.38 0.16/0.38 % (12675)Memory used [KB]: 1023 0.16/0.38 % (12675)Time elapsed: 0.003 s 0.16/0.38 % (12675)Instructions burned: 3 (million) 0.16/0.38 % (12675)------------------------------ 0.16/0.38 % (12675)------------------------------ 0.16/0.38 % (12674)Instruction limit reached! 0.16/0.38 % (12674)------------------------------ 0.16/0.38 % (12674)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (12674)Termination reason: Unknown 0.16/0.38 % (12674)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (12674)Memory used [KB]: 5628 0.16/0.38 % (12674)Time elapsed: 0.011 s 0.16/0.38 % (12674)Instructions burned: 17 (million) 0.16/0.38 % (12674)------------------------------ 0.16/0.38 % (12674)------------------------------ 0.16/0.38 % (12676)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_12553 for (1799ds/3Mi) 0.16/0.38 % (12677)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_12553 for (1799ds/7Mi) 0.16/0.39 % (12676)Instruction limit reached! 0.16/0.39 % (12676)------------------------------ 0.16/0.39 % (12676)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (12676)Termination reason: Unknown 0.16/0.39 % (12676)Termination phase: Property scanning 0.16/0.39 0.16/0.39 % (12676)Memory used [KB]: 1023 0.16/0.39 % (12676)Time elapsed: 0.003 s 0.16/0.39 % (12676)Instructions burned: 3 (million) 0.16/0.39 % (12676)------------------------------ 0.16/0.39 % (12676)------------------------------ 0.16/0.39 % (12677)Instruction limit reached! 0.16/0.39 % (12677)------------------------------ 0.16/0.39 % (12677)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (12677)Termination reason: Unknown 0.16/0.39 % (12677)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (12677)Memory used [KB]: 5500 0.16/0.39 % (12677)Time elapsed: 0.006 s 0.16/0.39 % (12677)Instructions burned: 8 (million) 0.16/0.39 % (12677)------------------------------ 0.16/0.39 % (12677)------------------------------ 0.16/0.39 % (12678)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_12553 for (1799ds/3Mi) 0.16/0.39 % (12678)Instruction limit reached! 0.16/0.39 % (12678)------------------------------ 0.16/0.39 % (12678)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (12678)Termination reason: Unknown 0.16/0.39 % (12678)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (12678)Memory used [KB]: 5500 0.16/0.39 % (12678)Time elapsed: 0.004 s 0.16/0.39 % (12678)Instructions burned: 4 (million) 0.16/0.39 % (12678)------------------------------ 0.16/0.39 % (12678)------------------------------ 0.16/0.40 % (12679)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/4Mi) 0.16/0.40 % (12679)Instruction limit reached! 0.16/0.40 % (12679)------------------------------ 0.16/0.40 % (12679)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.40 % (12679)Termination reason: Unknown 0.16/0.40 % (12679)Termination phase: Saturation 0.16/0.40 0.16/0.40 % (12679)Memory used [KB]: 5500 0.16/0.40 % (12679)Time elapsed: 0.004 s 0.16/0.40 % (12679)Instructions burned: 4 (million) 0.16/0.40 % (12679)------------------------------ 0.16/0.40 % (12679)------------------------------ 0.16/0.40 % (12680)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_12553 for (1799ds/18Mi) 0.16/0.40 % (12681)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/710Mi) 0.16/0.41 % (12682)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/6Mi) 0.16/0.41 % (12680)Instruction limit reached! 0.16/0.41 % (12680)------------------------------ 0.16/0.41 % (12680)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (12680)Termination reason: Unknown 0.16/0.41 % (12680)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (12680)Memory used [KB]: 5628 0.16/0.41 % (12680)Time elapsed: 0.012 s 0.16/0.41 % (12680)Instructions burned: 19 (million) 0.16/0.41 % (12680)------------------------------ 0.16/0.41 % (12680)------------------------------ 0.16/0.41 % (12682)Instruction limit reached! 0.16/0.41 % (12682)------------------------------ 0.16/0.41 % (12682)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (12682)Termination reason: Unknown 0.16/0.41 % (12682)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (12682)Memory used [KB]: 5500 0.16/0.41 % (12682)Time elapsed: 0.005 s 0.16/0.41 % (12682)Instructions burned: 7 (million) 0.16/0.41 % (12682)------------------------------ 0.16/0.41 % (12682)------------------------------ 0.16/0.41 % (12661)Instruction limit reached! 0.16/0.41 % (12661)------------------------------ 0.16/0.41 % (12661)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (12661)Termination reason: Unknown 0.16/0.41 % (12661)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (12661)Memory used [KB]: 6524 0.16/0.41 % (12661)Time elapsed: 0.078 s 0.16/0.41 % (12661)Instructions burned: 185 (million) 0.16/0.41 % (12661)------------------------------ 0.16/0.41 % (12661)------------------------------ 0.16/0.41 % (12683)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_12553 for (1799ds/902Mi) 0.16/0.42 % (12684)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_12553 for (1799ds/21Mi) 0.16/0.42 % (12685)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/5Mi) 0.16/0.43 % (12686)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_12553 for (1799ds/6Mi) 0.16/0.43 % (12685)Instruction limit reached! 0.16/0.43 % (12685)------------------------------ 0.16/0.43 % (12685)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.43 % (12685)Termination reason: Unknown 0.16/0.43 % (12685)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (12685)Memory used [KB]: 5500 0.16/0.43 % (12685)Time elapsed: 0.005 s 0.16/0.43 % (12685)Instructions burned: 5 (million) 0.16/0.43 % (12685)------------------------------ 0.16/0.43 % (12685)------------------------------ 0.16/0.43 % (12686)Instruction limit reached! 0.16/0.43 % (12686)------------------------------ 0.16/0.43 % (12686)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.43 % (12686)Termination reason: Unknown 0.16/0.43 % (12686)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (12686)Memory used [KB]: 5500 0.16/0.43 % (12686)Time elapsed: 0.005 s 0.16/0.43 % (12686)Instructions burned: 7 (million) 0.16/0.43 % (12686)------------------------------ 0.16/0.43 % (12686)------------------------------ 0.16/0.44 % (12684)Instruction limit reached! 0.16/0.44 % (12684)------------------------------ 0.16/0.44 % (12684)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.44 % (12684)Termination reason: Unknown 0.16/0.44 % (12684)Termination phase: Saturation 0.16/0.44 0.16/0.44 % (12684)Memory used [KB]: 5628 0.16/0.44 % (12684)Time elapsed: 0.014 s 0.16/0.44 % (12684)Instructions burned: 21 (million) 0.16/0.44 % (12684)------------------------------ 0.16/0.44 % (12684)------------------------------ 0.16/0.44 % (12687)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_12553 for (1799ds/377Mi) 0.16/0.44 % (12688)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_12553 for (1799ds/779Mi) 0.16/0.45 % (12689)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_12553 for (1799ds/19Mi) 0.16/0.46 % (12689)Instruction limit reached! 0.16/0.46 % (12689)------------------------------ 0.16/0.46 % (12689)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.46 % (12689)Termination reason: Unknown 0.16/0.46 % (12689)Termination phase: Saturation 0.16/0.46 0.16/0.46 % (12689)Memory used [KB]: 5500 0.16/0.46 % (12689)Time elapsed: 0.011 s 0.16/0.46 % (12689)Instructions burned: 19 (million) 0.16/0.46 % (12689)------------------------------ 0.16/0.46 % (12689)------------------------------ 0.16/0.46 % (12666)Instruction limit reached! 0.16/0.46 % (12666)------------------------------ 0.16/0.46 % (12666)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.46 % (12666)Termination reason: Unknown 0.16/0.46 % (12666)Termination phase: Saturation 0.16/0.46 0.16/0.46 % (12666)Memory used [KB]: 6012 0.16/0.46 % (12666)Time elapsed: 0.128 s 0.16/0.46 % (12666)Instructions burned: 275 (million) 0.16/0.46 % (12666)------------------------------ 0.16/0.46 % (12666)------------------------------ 0.16/0.47 % (12690)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_12553 for (1798ds/879Mi) 0.16/0.48 % (12691)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_12553 for (1798ds/17Mi) 0.16/0.48 % (12672)First to succeed. 0.16/0.48 % (12691)Instruction limit reached! 0.16/0.48 % (12691)------------------------------ 0.16/0.48 % (12691)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.48 % (12691)Termination reason: Unknown 0.16/0.48 % (12691)Termination phase: Saturation 0.16/0.48 0.16/0.48 % (12691)Memory used [KB]: 5628 0.16/0.48 % (12691)Time elapsed: 0.031 s 0.16/0.48 % (12691)Instructions burned: 17 (million) 0.16/0.48 % (12691)------------------------------ 0.16/0.48 % (12691)------------------------------ 0.16/0.49 % (12672)Refutation found. Thanks to Tanya! 0.16/0.49 % SZS status Theorem for E---3.1_12553 0.16/0.49 % SZS output start Proof for E---3.1_12553 0.16/0.49 thf(type_def_5, type, a: $tType). 0.16/0.49 thf(func_def_0, type, a: $tType). 0.16/0.49 thf(func_def_19, type, ph1: !>[X0: $tType]:(X0)). 0.16/0.49 thf(func_def_20, type, sK2: a > a > $o). 0.16/0.49 thf(func_def_21, type, sK3: a). 0.16/0.49 thf(func_def_22, type, sK4: a). 0.16/0.49 thf(func_def_23, type, sK5: a). 0.16/0.49 thf(func_def_24, type, sK6: a > $o). 0.16/0.49 thf(func_def_25, type, sK7: a > $o). 0.16/0.49 thf(func_def_26, type, sK8: a). 0.16/0.49 thf(func_def_27, type, sK9: a). 0.16/0.49 thf(func_def_28, type, sK10: a). 0.16/0.49 thf(func_def_29, type, sK11: a). 0.16/0.49 thf(func_def_30, type, sK12: a > $o). 0.16/0.49 thf(func_def_31, type, sK13: a). 0.16/0.49 thf(f1921,plain,( 0.16/0.49 $false), 0.16/0.49 inference(avatar_sat_refutation,[],[f32,f121,f128,f141,f262,f277,f384,f391,f395,f733,f1389,f1756,f1760,f1765,f1917,f1920])). 0.16/0.49 thf(f1920,plain,( 0.16/0.49 ~spl0_5 | ~spl0_7), 0.16/0.49 inference(avatar_contradiction_clause,[],[f1919])). 0.16/0.49 thf(f1919,plain,( 0.16/0.49 $false | (~spl0_5 | ~spl0_7)), 0.16/0.49 inference(trivial_inequality_removal,[],[f1918])). 0.16/0.49 thf(f1918,plain,( 0.16/0.49 ($true = $false) | (~spl0_5 | ~spl0_7)), 0.16/0.49 inference(forward_demodulation,[],[f124,f117])). 0.16/0.49 thf(f117,plain,( 0.16/0.49 ($false = (sK2 @ sK3 @ sK5)) | ~spl0_5), 0.16/0.49 inference(avatar_component_clause,[],[f116])). 0.16/0.49 thf(f116,plain,( 0.16/0.49 spl0_5 <=> ($false = (sK2 @ sK3 @ sK5))), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.16/0.49 thf(f124,plain,( 0.16/0.49 ($true = (sK2 @ sK3 @ sK5)) | ~spl0_7), 0.16/0.49 inference(avatar_component_clause,[],[f123])). 0.16/0.49 thf(f123,plain,( 0.16/0.49 spl0_7 <=> ($true = (sK2 @ sK3 @ sK5))), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.16/0.49 thf(f1917,plain,( 0.16/0.49 ~spl0_3 | ~spl0_5 | ~spl0_8), 0.16/0.49 inference(avatar_contradiction_clause,[],[f1916])). 0.16/0.49 thf(f1916,plain,( 0.16/0.49 $false | (~spl0_3 | ~spl0_5 | ~spl0_8)), 0.16/0.49 inference(trivial_inequality_removal,[],[f1915])). 0.16/0.49 thf(f1915,plain,( 0.16/0.49 ($true = $false) | (~spl0_3 | ~spl0_5 | ~spl0_8)), 0.16/0.49 inference(boolean_simplification,[],[f1914])). 0.16/0.49 thf(f1914,plain,( 0.16/0.49 ((~ $true) = $true) | (~spl0_3 | ~spl0_5 | ~spl0_8)), 0.16/0.49 inference(forward_demodulation,[],[f1903,f1799])). 0.16/0.49 thf(f1799,plain,( 0.16/0.49 ($true = (sK2 @ sK3 @ sK4)) | ~spl0_3), 0.16/0.49 inference(binary_proxy_clausification,[],[f1787])). 0.16/0.49 thf(f1787,plain,( 0.16/0.49 ($false = ((sK2 @ sK3 @ sK4) => (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) = (sK2 @ sK4 @ Y0)))))) | ~spl0_3), 0.16/0.49 inference(beta_eta_normalization,[],[f1784])). 0.16/0.49 thf(f1784,plain,( 0.16/0.49 ($false = ((^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1)))))) @ sK4)) | ~spl0_3), 0.16/0.49 inference(sigma_clausification,[],[f73])). 0.16/0.49 thf(f73,plain,( 0.16/0.49 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1)))))))) | ~spl0_3), 0.16/0.49 inference(avatar_component_clause,[],[f72])). 0.16/0.49 thf(f72,plain,( 0.16/0.49 spl0_3 <=> ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1))))))))), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.16/0.49 thf(f1903,plain,( 0.16/0.49 ((~ (sK2 @ sK3 @ sK4)) = $true) | (~spl0_5 | ~spl0_8)), 0.16/0.49 inference(boolean_simplification,[],[f1895])). 0.16/0.49 thf(f1895,plain,( 0.16/0.49 (((sK2 @ sK3 @ sK4) => $false) = $true) | (~spl0_5 | ~spl0_8)), 0.16/0.49 inference(superposition,[],[f1796,f117])). 0.16/0.49 thf(f1796,plain,( 0.16/0.49 ( ! [X0 : a] : ((((sK2 @ X0 @ sK4) => (sK2 @ X0 @ sK5)) = $true)) ) | ~spl0_8), 0.16/0.49 inference(boolean_simplification,[],[f1788])). 0.16/0.49 thf(f1788,plain,( 0.16/0.49 ( ! [X0 : a] : (($true = (($true & (sK2 @ X0 @ sK4)) => (sK2 @ X0 @ sK5)))) ) | ~spl0_8), 0.16/0.49 inference(superposition,[],[f60,f127])). 0.16/0.49 thf(f127,plain,( 0.16/0.49 ((sK2 @ sK4 @ sK5) = $true) | ~spl0_8), 0.16/0.49 inference(avatar_component_clause,[],[f126])). 0.16/0.49 thf(f126,plain,( 0.16/0.49 spl0_8 <=> ((sK2 @ sK4 @ sK5) = $true)), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.16/0.49 thf(f60,plain,( 0.16/0.49 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (((sK2 @ X2 @ X3) & (sK2 @ X1 @ X2)) => (sK2 @ X1 @ X3)))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f59])). 0.16/0.49 thf(f59,plain,( 0.16/0.49 ( ! [X2 : a,X3 : a,X1 : a] : ((((^[Y0 : a]: (((sK2 @ X2 @ Y0) & (sK2 @ X1 @ X2)) => (sK2 @ X1 @ Y0))) @ X3) = $true)) )), 0.16/0.49 inference(pi_clausification,[],[f58])). 0.16/0.49 thf(f58,plain,( 0.16/0.49 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK2 @ X2 @ Y0) & (sK2 @ X1 @ X2)) => (sK2 @ X1 @ Y0)))) = $true)) )), 0.16/0.49 inference(beta_eta_normalization,[],[f57])). 0.16/0.49 thf(f57,plain,( 0.16/0.49 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK2 @ X1 @ Y0)) => (sK2 @ X1 @ Y1))))) @ X2))) )), 0.16/0.49 inference(pi_clausification,[],[f56])). 0.16/0.49 thf(f56,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK2 @ Y0 @ Y1) & (sK2 @ X1 @ Y0)) => (sK2 @ X1 @ Y1)))))))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f55])). 0.16/0.49 thf(f55,plain,( 0.16/0.49 ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ Y2))))))) @ X1) = $true)) )), 0.16/0.49 inference(pi_clausification,[],[f38])). 0.16/0.49 thf(f38,plain,( 0.16/0.49 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ Y2)))))))) = $true)), 0.16/0.49 inference(boolean_simplification,[],[f37])). 0.16/0.49 thf(f37,plain,( 0.16/0.49 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ Y2)))))))) & $true))), 0.16/0.49 inference(backward_demodulation,[],[f20,f35])). 0.16/0.49 thf(f35,plain,( 0.16/0.49 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1)))))))), 0.16/0.49 inference(binary_proxy_clausification,[],[f20])). 0.16/0.49 thf(f20,plain,( 0.16/0.49 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ Y2)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))))), 0.16/0.49 inference(binary_proxy_clausification,[],[f14])). 0.16/0.49 thf(f14,plain,( 0.16/0.49 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ Y2)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) & (!! @ a @ (^[Y0 : a]: (sK2 @ Y0 @ Y0)))) = $true)), 0.16/0.49 inference(binary_proxy_clausification,[],[f12])). 0.16/0.49 thf(f12,plain,( 0.16/0.49 (((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK2 @ Y1 @ Y2) & (sK2 @ Y0 @ Y1)) => (sK2 @ Y0 @ Y2)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))))) & (!! @ a @ (^[Y0 : a]: (sK2 @ Y0 @ Y0)))) => ((!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (sK2 @ Y3 @ Y4)))))))) & (Y2 @ Y0)) => (Y1 = Y2)))) & (?? @ a @ Y1)) & (Y1 @ Y0)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3)))))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) => (?? @ a @ Y0)))))) = $false)), 0.16/0.49 inference(beta_eta_normalization,[],[f11])). 0.16/0.49 thf(f11,plain,( 0.16/0.49 (((^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) & (!! @ a @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) => ((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((((?? @ a @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) = (Y0 @ Y4 @ Y5)))))))) & (Y3 @ Y1)) => (Y2 = Y3)))) & (?? @ a @ Y2)) & (Y2 @ Y1)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y0 @ Y3 @ Y4)))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3)))))))) => (?? @ a @ Y1))))))) @ sK2) = $false)), 0.16/0.49 inference(sigma_clausification,[],[f8])). 0.16/0.49 thf(f8,plain,( 0.16/0.49 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) & (!! @ a @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) => ((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((((?? @ a @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) = (Y0 @ Y4 @ Y5)))))))) & (Y3 @ Y1)) => (Y2 = Y3)))) & (?? @ a @ Y2)) & (Y2 @ Y1)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y0 @ Y3 @ Y4)))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3)))))))) => (?? @ a @ Y1)))))))))), 0.16/0.49 inference(not_proxy_clausification,[],[f7])). 0.16/0.49 thf(f7,plain,( 0.16/0.49 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) & (!! @ a @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) => ((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((((?? @ a @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) = (Y0 @ Y4 @ Y5)))))))) & (Y3 @ Y1)) => (Y2 = Y3)))) & (?? @ a @ Y2)) & (Y2 @ Y1)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y0 @ Y3 @ Y4)))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3)))))))) => (?? @ a @ Y1))))))))))), 0.16/0.49 inference(beta_eta_normalization,[],[f6])). 0.16/0.49 thf(f6,plain,( 0.16/0.49 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) & (!! @ a @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) => ((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((((?? @ a @ (^[Y4 : a]: (Y3 @ Y4))) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) = (Y0 @ Y4 @ Y5)))))))) & (Y3 @ Y1)) => (Y2 = Y3)))) & (?? @ a @ (^[Y3 : a]: (Y2 @ Y3)))) & (Y2 @ Y1)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y0 @ Y3 @ Y4)))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((?? @ a @ (^[Y2 : a]: (Y1 @ Y2))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3)))))))) => (?? @ a @ (^[Y2 : a]: (Y1 @ Y2))))))))))))), 0.16/0.49 inference(cnf_transformation,[],[f5])). 0.16/0.49 thf(f5,plain,( 0.16/0.49 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) & (!! @ a @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) => ((!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((((?? @ a @ (^[Y4 : a]: (Y3 @ Y4))) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) = (Y0 @ Y4 @ Y5)))))))) & (Y3 @ Y1)) => (Y2 = Y3)))) & (?? @ a @ (^[Y3 : a]: (Y2 @ Y3)))) & (Y2 @ Y1)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (Y0 @ Y3 @ Y4)))))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((?? @ a @ (^[Y2 : a]: (Y1 @ Y2))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (Y0 @ Y2 @ Y3)))))))) => (?? @ a @ (^[Y2 : a]: (Y1 @ Y2))))))))))))), 0.16/0.49 inference(fool_elimination,[],[f4])). 0.16/0.49 thf(f4,plain,( 0.16/0.49 ~! [X0 : a > a > $o] : ((! [X1 : a] : (X0 @ X1 @ X1) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ X3 @ X2)) & ! [X4 : a,X5 : a,X6 : a] : (((X0 @ X6 @ X5) & (X0 @ X5 @ X4)) => (X0 @ X6 @ X4))) => (! [X7 : a > $o] : ((! [X8 : a] : ((X7 @ X8) => ! [X9 : a] : ((X7 @ X9) <=> (X0 @ X8 @ X9))) & ? [X10 : a] : (X7 @ X10)) => ? [X11 : a] : (X7 @ X11)) & ! [X12 : a] : ? [X13 : a > $o] : (! [X14 : a] : ((X13 @ X14) => ! [X15 : a] : ((X13 @ X15) <=> (X0 @ X14 @ X15))) & (X13 @ X12) & ? [X16 : a] : (X13 @ X16) & ! [X17 : a > $o] : (((X17 @ X12) & ! [X18 : a] : ((X17 @ X18) => ! [X19 : a] : ((X17 @ X19) <=> (X0 @ X18 @ X19))) & ? [X20 : a] : (X17 @ X20)) => (X13 = X17)))))), 0.16/0.49 inference(rectify,[],[f2])). 0.16/0.49 thf(f2,negated_conjecture,( 0.16/0.49 ~! [X0 : a > a > $o] : ((! [X1 : a] : (X0 @ X1 @ X1) & ! [X1 : a,X2 : a] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X3 : a,X2 : a,X1 : a] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3))) => (! [X4 : a > $o] : ((! [X1 : a] : ((X4 @ X1) => ! [X2 : a] : ((X4 @ X2) <=> (X0 @ X1 @ X2))) & ? [X3 : a] : (X4 @ X3)) => ? [X3 : a] : (X4 @ X3)) & ! [X1 : a] : ? [X4 : a > $o] : (! [X6 : a] : ((X4 @ X6) => ! [X2 : a] : ((X4 @ X2) <=> (X0 @ X6 @ X2))) & (X4 @ X1) & ? [X3 : a] : (X4 @ X3) & ! [X5 : a > $o] : (((X5 @ X1) & ! [X6 : a] : ((X5 @ X6) => ! [X2 : a] : ((X5 @ X2) <=> (X0 @ X6 @ X2))) & ? [X3 : a] : (X5 @ X3)) => (X4 = X5)))))), 0.16/0.49 inference(negated_conjecture,[],[f1])). 0.16/0.49 thf(f1,conjecture,( 0.16/0.49 ! [X0 : a > a > $o] : ((! [X1 : a] : (X0 @ X1 @ X1) & ! [X1 : a,X2 : a] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X3 : a,X2 : a,X1 : a] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3))) => (! [X4 : a > $o] : ((! [X1 : a] : ((X4 @ X1) => ! [X2 : a] : ((X4 @ X2) <=> (X0 @ X1 @ X2))) & ? [X3 : a] : (X4 @ X3)) => ? [X3 : a] : (X4 @ X3)) & ! [X1 : a] : ? [X4 : a > $o] : (! [X6 : a] : ((X4 @ X6) => ! [X2 : a] : ((X4 @ X2) <=> (X0 @ X6 @ X2))) & (X4 @ X1) & ? [X3 : a] : (X4 @ X3) & ! [X5 : a > $o] : (((X5 @ X1) & ! [X6 : a] : ((X5 @ X6) => ! [X2 : a] : ((X5 @ X2) <=> (X0 @ X6 @ X2))) & ? [X3 : a] : (X5 @ X3)) => (X4 = X5)))))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.Jb8TGifp9y/E---3.1_12553.p',cTHM260_pme)). 0.16/0.49 thf(f1765,plain,( 0.16/0.49 ~spl0_6 | ~spl0_8), 0.16/0.49 inference(avatar_contradiction_clause,[],[f1764])). 0.16/0.49 thf(f1764,plain,( 0.16/0.49 $false | (~spl0_6 | ~spl0_8)), 0.16/0.49 inference(trivial_inequality_removal,[],[f1763])). 0.16/0.49 thf(f1763,plain,( 0.16/0.49 ($true = $false) | (~spl0_6 | ~spl0_8)), 0.16/0.49 inference(forward_demodulation,[],[f127,f120])). 0.16/0.49 thf(f120,plain,( 0.16/0.49 ((sK2 @ sK4 @ sK5) = $false) | ~spl0_6), 0.16/0.49 inference(avatar_component_clause,[],[f119])). 0.16/0.49 thf(f119,plain,( 0.16/0.49 spl0_6 <=> ((sK2 @ sK4 @ sK5) = $false)), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.16/0.49 thf(f1760,plain,( 0.16/0.49 spl0_4 | spl0_3 | ~spl0_2), 0.16/0.49 inference(avatar_split_clause,[],[f1509,f30,f72,f75])). 0.16/0.49 thf(f75,plain,( 0.16/0.49 spl0_4 <=> (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0)))) & (?? @ a @ (sK2 @ sK3))) = $false)), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.16/0.49 thf(f30,plain,( 0.16/0.49 spl0_2 <=> ($false = (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (sK2 @ Y3 @ Y4)))))))) & (Y2 @ Y0)) => (Y1 = Y2)))) & (?? @ a @ Y1)) & (Y1 @ Y0)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3)))))))))))))), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.16/0.49 thf(f1509,plain,( 0.16/0.49 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1)))))))) | (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0)))) & (?? @ a @ (sK2 @ sK3))) = $false) | ~spl0_2), 0.16/0.49 inference(boolean_simplification,[],[f1500])). 0.16/0.49 thf(f1500,plain,( 0.16/0.49 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1)))))))) | ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0)))) & (?? @ a @ (sK2 @ sK3))) & $true)) | ~spl0_2), 0.16/0.49 inference(superposition,[],[f321,f24])). 0.16/0.49 thf(f24,plain,( 0.16/0.49 ( ! [X1 : a] : (((sK2 @ X1 @ X1) = $true)) )), 0.16/0.49 inference(beta_eta_normalization,[],[f23])). 0.16/0.49 thf(f23,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (sK2 @ Y0 @ Y0)) @ X1))) )), 0.16/0.49 inference(pi_clausification,[],[f22])). 0.16/0.49 thf(f22,plain,( 0.16/0.49 ($true = (!! @ a @ (^[Y0 : a]: (sK2 @ Y0 @ Y0))))), 0.16/0.49 inference(boolean_simplification,[],[f21])). 0.16/0.49 thf(f21,plain,( 0.16/0.49 ($true = ($true & (!! @ a @ (^[Y0 : a]: (sK2 @ Y0 @ Y0)))))), 0.16/0.49 inference(backward_demodulation,[],[f14,f20])). 0.16/0.49 thf(f321,plain,( 0.16/0.49 ( ! [X1 : a > $o] : (($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => (X1 = Y0)))) & (?? @ a @ X1)) & (X1 @ sK3))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y1) = (sK2 @ Y0 @ Y1))))))))) ) | ~spl0_2), 0.16/0.49 inference(binary_proxy_clausification,[],[f302])). 0.16/0.49 thf(f302,plain,( 0.16/0.49 ( ! [X1 : a > $o] : ((((((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => (X1 = Y0)))) & (?? @ a @ X1)) & (X1 @ sK3)) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y1) = (sK2 @ Y0 @ Y1)))))))) = $false)) ) | ~spl0_2), 0.16/0.49 inference(beta_eta_normalization,[],[f301])). 0.16/0.49 thf(f301,plain,( 0.16/0.49 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((((!! @ (a > $o) @ (^[Y1 : a > $o]: ((((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3)))))))) & (Y1 @ sK3)) => (Y0 = Y1)))) & (?? @ a @ Y0)) & (Y0 @ sK3)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2))))))))) @ X1))) ) | ~spl0_2), 0.16/0.49 inference(pi_clausification,[],[f297])). 0.16/0.49 thf(f297,plain,( 0.16/0.49 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((((!! @ (a > $o) @ (^[Y1 : a > $o]: ((((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3)))))))) & (Y1 @ sK3)) => (Y0 = Y1)))) & (?? @ a @ Y0)) & (Y0 @ sK3)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2))))))))))) | ~spl0_2), 0.16/0.49 inference(beta_eta_normalization,[],[f296])). 0.16/0.49 thf(f296,plain,( 0.16/0.49 (((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (sK2 @ Y3 @ Y4)))))))) & (Y2 @ Y0)) => (Y1 = Y2)))) & (?? @ a @ Y1)) & (Y1 @ Y0)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3))))))))))) @ sK3) = $false) | ~spl0_2), 0.16/0.49 inference(sigma_clausification,[],[f31])). 0.16/0.49 thf(f31,plain,( 0.16/0.49 ($false = (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (sK2 @ Y3 @ Y4)))))))) & (Y2 @ Y0)) => (Y1 = Y2)))) & (?? @ a @ Y1)) & (Y1 @ Y0)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3))))))))))))) | ~spl0_2), 0.16/0.49 inference(avatar_component_clause,[],[f30])). 0.16/0.49 thf(f1756,plain,( 0.16/0.49 ~spl0_9 | ~spl0_11 | ~spl0_13), 0.16/0.49 inference(avatar_contradiction_clause,[],[f1755])). 0.16/0.49 thf(f1755,plain,( 0.16/0.49 $false | (~spl0_9 | ~spl0_11 | ~spl0_13)), 0.16/0.49 inference(trivial_inequality_removal,[],[f1754])). 0.16/0.49 thf(f1754,plain,( 0.16/0.49 ($true = $false) | (~spl0_9 | ~spl0_11 | ~spl0_13)), 0.16/0.49 inference(forward_demodulation,[],[f1706,f387])). 0.16/0.49 thf(f387,plain,( 0.16/0.49 ((sK7 @ sK8) = $false) | ~spl0_13), 0.16/0.49 inference(avatar_component_clause,[],[f386])). 0.16/0.49 thf(f386,plain,( 0.16/0.49 spl0_13 <=> ((sK7 @ sK8) = $false)), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 0.16/0.49 thf(f1706,plain,( 0.16/0.49 ((sK7 @ sK8) = $true) | (~spl0_9 | ~spl0_11)), 0.16/0.49 inference(superposition,[],[f1679,f380])). 0.16/0.49 thf(f380,plain,( 0.16/0.49 ($true = (sK2 @ sK3 @ sK8)) | ~spl0_11), 0.16/0.49 inference(avatar_component_clause,[],[f379])). 0.16/0.49 thf(f379,plain,( 0.16/0.49 spl0_11 <=> ($true = (sK2 @ sK3 @ sK8))), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 0.16/0.49 thf(f1679,plain,( 0.16/0.49 ( ! [X1 : a] : (((sK7 @ X1) = (sK2 @ sK3 @ X1))) ) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f1678])). 0.16/0.49 thf(f1678,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = ((sK7 @ X1) = (sK2 @ sK3 @ X1)))) ) | ~spl0_9), 0.16/0.49 inference(beta_eta_normalization,[],[f1676])). 0.16/0.49 thf(f1676,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ sK3 @ Y0))) @ X1))) ) | ~spl0_9), 0.16/0.49 inference(pi_clausification,[],[f1544])). 0.16/0.49 thf(f1544,plain,( 0.16/0.49 ((!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ sK3 @ Y0)))) = $true) | ~spl0_9), 0.16/0.49 inference(boolean_simplification,[],[f1538])). 0.16/0.49 thf(f1538,plain,( 0.16/0.49 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ sK3 @ Y0)))))) | ~spl0_9), 0.16/0.49 inference(superposition,[],[f1532,f1454])). 0.16/0.49 thf(f1454,plain,( 0.16/0.49 ((sK7 @ sK3) = $true) | ~spl0_9), 0.16/0.49 inference(boolean_simplification,[],[f1453])). 0.16/0.49 thf(f1453,plain,( 0.16/0.49 ($true = ($true & (sK7 @ sK3))) | ~spl0_9), 0.16/0.49 inference(backward_demodulation,[],[f1432,f1452])). 0.16/0.49 thf(f1452,plain,( 0.16/0.49 ($true = ((?? @ a @ sK7) & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1))))))))) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f1432])). 0.16/0.49 thf(f1432,plain,( 0.16/0.49 ((((?? @ a @ sK7) & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))))) & (sK7 @ sK3)) = $true) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f1417])). 0.16/0.49 thf(f1417,plain,( 0.16/0.49 ($false = ((((?? @ a @ sK7) & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))))) & (sK7 @ sK3)) => ((sK2 @ sK3) = sK7))) | ~spl0_9), 0.16/0.49 inference(beta_eta_normalization,[],[f1415])). 0.16/0.49 thf(f1415,plain,( 0.16/0.49 (((^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0))) @ sK7) = $false) | ~spl0_9), 0.16/0.49 inference(sigma_clausification,[],[f137])). 0.16/0.49 thf(f137,plain,( 0.16/0.49 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0))))) | ~spl0_9), 0.16/0.49 inference(avatar_component_clause,[],[f136])). 0.16/0.49 thf(f136,plain,( 0.16/0.49 spl0_9 <=> ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0)))))), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 0.16/0.49 thf(f1532,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = ((sK7 @ X1) => (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ X1 @ Y0))))))) ) | ~spl0_9), 0.16/0.49 inference(beta_eta_normalization,[],[f1530])). 0.16/0.49 thf(f1530,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))) @ X1))) ) | ~spl0_9), 0.16/0.49 inference(pi_clausification,[],[f1489])). 0.16/0.49 thf(f1489,plain,( 0.16/0.49 ((!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1))))))) = $true) | ~spl0_9), 0.16/0.49 inference(boolean_simplification,[],[f1488])). 0.16/0.49 thf(f1488,plain,( 0.16/0.49 (($true & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))))) = $true) | ~spl0_9), 0.16/0.49 inference(backward_demodulation,[],[f1452,f1486])). 0.16/0.49 thf(f1486,plain,( 0.16/0.49 ((?? @ a @ sK7) = $true) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f1452])). 0.16/0.49 thf(f1389,plain,( 0.16/0.49 ~spl0_10), 0.16/0.49 inference(avatar_contradiction_clause,[],[f1388])). 0.16/0.49 thf(f1388,plain,( 0.16/0.49 $false | ~spl0_10), 0.16/0.49 inference(trivial_inequality_removal,[],[f1371])). 0.16/0.49 thf(f1371,plain,( 0.16/0.49 ($true = $false) | ~spl0_10), 0.16/0.49 inference(superposition,[],[f24,f1338])). 0.16/0.49 thf(f1338,plain,( 0.16/0.49 ( ! 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[X1 : a] : (($true = ((^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ sK3 @ Y0))) @ X1))) ) | ~spl0_9), 0.16/0.49 inference(pi_clausification,[],[f423])). 0.16/0.49 thf(f423,plain,( 0.16/0.49 ((!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ sK3 @ Y0)))) = $true) | ~spl0_9), 0.16/0.49 inference(boolean_simplification,[],[f420])). 0.16/0.49 thf(f420,plain,( 0.16/0.49 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) = (sK2 @ sK3 @ Y0)))))) | ~spl0_9), 0.16/0.49 inference(superposition,[],[f414,f397])). 0.16/0.49 thf(f397,plain,( 0.16/0.49 ((sK7 @ sK3) = $true) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f369])). 0.16/0.49 thf(f369,plain,( 0.16/0.49 ((((?? @ a @ sK7) & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))))) & (sK7 @ sK3)) = $true) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f352])). 0.16/0.49 thf(f414,plain,( 0.16/0.49 ( ! 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[X1 : a] : (($true = ((^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))) @ X1))) ) | ~spl0_9), 0.16/0.49 inference(pi_clausification,[],[f404])). 0.16/0.49 thf(f404,plain,( 0.16/0.49 ((!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1))))))) = $true) | ~spl0_9), 0.16/0.49 inference(boolean_simplification,[],[f403])). 0.16/0.49 thf(f403,plain,( 0.16/0.49 (($true & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1)))))))) = $true) | ~spl0_9), 0.16/0.49 inference(backward_demodulation,[],[f400,f402])). 0.16/0.49 thf(f402,plain,( 0.16/0.49 ((?? @ a @ sK7) = $true) | ~spl0_9), 0.16/0.49 inference(binary_proxy_clausification,[],[f400])). 0.16/0.49 thf(f400,plain,( 0.16/0.49 ($true = ((?? @ a @ sK7) & (!! @ a @ (^[Y0 : a]: ((sK7 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK7 @ Y1) = (sK2 @ Y0 @ Y1))))))))) | ~spl0_9), 0.16/0.49 inference(boolean_simplification,[],[f399])). 0.16/0.49 thf(f399,plain,( 0.16/0.49 ($true = (((?? 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@ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) => (?? @ a @ Y0)))) = $false)), 0.16/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.16/0.49 thf(f271,plain,( 0.16/0.49 (((?? @ a @ sK6) & (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK6 @ Y1) = (sK2 @ Y0 @ Y1)))))))) = $true) | ~spl0_1), 0.16/0.49 inference(binary_proxy_clausification,[],[f266])). 0.16/0.49 thf(f262,plain,( 0.16/0.49 ~spl0_3 | ~spl0_6 | ~spl0_7), 0.16/0.49 inference(avatar_contradiction_clause,[],[f261])). 0.16/0.49 thf(f261,plain,( 0.16/0.49 $false | (~spl0_3 | ~spl0_6 | ~spl0_7)), 0.16/0.49 inference(trivial_inequality_removal,[],[f260])). 0.16/0.49 thf(f260,plain,( 0.16/0.49 ($true = $false) | (~spl0_3 | ~spl0_6 | ~spl0_7)), 0.16/0.49 inference(forward_demodulation,[],[f253,f120])). 0.16/0.49 thf(f253,plain,( 0.16/0.49 ((sK2 @ sK4 @ sK5) = $true) | (~spl0_3 | ~spl0_7)), 0.16/0.49 inference(boolean_simplification,[],[f248])). 0.16/0.49 thf(f248,plain,( 0.16/0.49 ($true = ($true => (sK2 @ sK4 @ sK5))) | (~spl0_3 | ~spl0_7)), 0.16/0.49 inference(superposition,[],[f173,f187])). 0.16/0.49 thf(f187,plain,( 0.16/0.49 ((sK2 @ sK4 @ sK3) = $true) | ~spl0_3), 0.16/0.49 inference(boolean_simplification,[],[f182])). 0.16/0.49 thf(f182,plain,( 0.16/0.49 ($true = ($true => (sK2 @ sK4 @ sK3))) | ~spl0_3), 0.16/0.49 inference(superposition,[],[f46,f161])). 0.16/0.49 thf(f161,plain,( 0.16/0.49 ($true = (sK2 @ sK3 @ sK4)) | ~spl0_3), 0.16/0.49 inference(binary_proxy_clausification,[],[f146])). 0.16/0.49 thf(f146,plain,( 0.16/0.49 ($false = ((sK2 @ sK3 @ sK4) => (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) = (sK2 @ sK4 @ Y0)))))) | ~spl0_3), 0.16/0.49 inference(beta_eta_normalization,[],[f144])). 0.16/0.49 thf(f144,plain,( 0.16/0.49 ($false = ((^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1)))))) @ sK4)) | ~spl0_3), 0.16/0.49 inference(sigma_clausification,[],[f73])). 0.16/0.49 thf(f46,plain,( 0.16/0.49 ( ! [X2 : a,X1 : a] : (($true = ((sK2 @ X2 @ X1) => (sK2 @ X1 @ X2)))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f45])). 0.16/0.49 thf(f45,plain,( 0.16/0.49 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((sK2 @ Y0 @ X1) => (sK2 @ X1 @ Y0))) @ X2))) )), 0.16/0.49 inference(pi_clausification,[],[f42])). 0.16/0.49 thf(f42,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK2 @ Y0 @ X1) => (sK2 @ X1 @ Y0)))))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f41])). 0.16/0.49 thf(f41,plain,( 0.16/0.49 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK2 @ Y1 @ Y0) => (sK2 @ Y0 @ Y1))))) @ X1))) )), 0.16/0.49 inference(pi_clausification,[],[f35])). 0.16/0.49 thf(f173,plain,( 0.16/0.49 ( ! [X0 : a] : (($true = ((sK2 @ X0 @ sK3) => (sK2 @ X0 @ sK5)))) ) | ~spl0_7), 0.16/0.49 inference(boolean_simplification,[],[f164])). 0.16/0.49 thf(f164,plain,( 0.16/0.49 ( ! [X0 : a] : (($true = (($true & (sK2 @ X0 @ sK3)) => (sK2 @ X0 @ sK5)))) ) | ~spl0_7), 0.16/0.49 inference(superposition,[],[f60,f124])). 0.16/0.49 thf(f141,plain,( 0.16/0.49 spl0_9 | spl0_10 | ~spl0_4), 0.16/0.49 inference(avatar_split_clause,[],[f131,f75,f139,f136])). 0.16/0.49 thf(f131,plain,( 0.16/0.49 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0))))) | ((?? @ a @ (sK2 @ sK3)) = $false) | ~spl0_4), 0.16/0.49 inference(binary_proxy_clausification,[],[f76])). 0.16/0.49 thf(f76,plain,( 0.16/0.49 (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) & (Y0 @ sK3)) => ((sK2 @ sK3) = Y0)))) & (?? @ a @ (sK2 @ sK3))) = $false) | ~spl0_4), 0.16/0.49 inference(avatar_component_clause,[],[f75])). 0.16/0.49 thf(f128,plain,( 0.16/0.49 spl0_7 | spl0_8 | ~spl0_3), 0.16/0.49 inference(avatar_split_clause,[],[f113,f72,f126,f123])). 0.16/0.49 thf(f113,plain,( 0.16/0.49 ($true = (sK2 @ sK3 @ sK5)) | ((sK2 @ sK4 @ sK5) = $true) | ~spl0_3), 0.16/0.49 inference(binary_proxy_clausification,[],[f100])). 0.16/0.49 thf(f100,plain,( 0.16/0.49 ((sK2 @ sK4 @ sK5) != (sK2 @ sK3 @ sK5)) | ~spl0_3), 0.16/0.49 inference(binary_proxy_clausification,[],[f99])). 0.16/0.49 thf(f99,plain,( 0.16/0.49 (((sK2 @ sK3 @ sK5) = (sK2 @ sK4 @ sK5)) = $false) | ~spl0_3), 0.16/0.49 inference(beta_eta_normalization,[],[f98])). 0.16/0.49 thf(f98,plain,( 0.16/0.49 ($false = ((^[Y0 : a]: ((sK2 @ sK3 @ Y0) = (sK2 @ sK4 @ Y0))) @ sK5)) | ~spl0_3), 0.16/0.49 inference(sigma_clausification,[],[f87])). 0.16/0.49 thf(f87,plain,( 0.16/0.49 ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) = (sK2 @ sK4 @ Y0)))) = $false) | ~spl0_3), 0.16/0.49 inference(boolean_simplification,[],[f86])). 0.16/0.49 thf(f86,plain,( 0.16/0.49 (($true => (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) = (sK2 @ sK4 @ Y0))))) = $false) | ~spl0_3), 0.16/0.49 inference(backward_demodulation,[],[f83,f85])). 0.16/0.49 thf(f85,plain,( 0.16/0.49 ($true = (sK2 @ sK3 @ sK4)) | ~spl0_3), 0.16/0.49 inference(binary_proxy_clausification,[],[f83])). 0.16/0.49 thf(f83,plain,( 0.16/0.49 ($false = ((sK2 @ sK3 @ sK4) => (!! @ a @ (^[Y0 : a]: ((sK2 @ sK3 @ Y0) = (sK2 @ sK4 @ Y0)))))) | ~spl0_3), 0.16/0.49 inference(beta_eta_normalization,[],[f80])). 0.16/0.49 thf(f80,plain,( 0.16/0.49 ($false = ((^[Y0 : a]: ((sK2 @ sK3 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK2 @ sK3 @ Y1) = (sK2 @ Y0 @ Y1)))))) @ sK4)) | ~spl0_3), 0.16/0.49 inference(sigma_clausification,[],[f73])). 0.16/0.49 thf(f121,plain,( 0.16/0.49 spl0_5 | spl0_6 | ~spl0_3), 0.16/0.49 inference(avatar_split_clause,[],[f114,f72,f119,f116])). 0.16/0.49 thf(f114,plain,( 0.16/0.49 ($false = (sK2 @ sK3 @ sK5)) | ((sK2 @ sK4 @ sK5) = $false) | ~spl0_3), 0.16/0.49 inference(binary_proxy_clausification,[],[f100])). 0.16/0.49 thf(f32,plain,( 0.16/0.49 spl0_1 | spl0_2), 0.16/0.49 inference(avatar_split_clause,[],[f25,f30,f27])). 0.16/0.49 thf(f25,plain,( 0.16/0.49 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) => (?? @ a @ Y0)))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (sK2 @ Y3 @ Y4)))))))) & (Y2 @ Y0)) => (Y1 = Y2)))) & (?? @ a @ Y1)) & (Y1 @ Y0)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3)))))))))))))), 0.16/0.49 inference(binary_proxy_clausification,[],[f13])). 0.16/0.49 thf(f13,plain,( 0.16/0.49 ($false = ((!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) = (sK2 @ Y3 @ Y4)))))))) & (Y2 @ Y0)) => (Y1 = Y2)))) & (?? @ a @ Y1)) & (Y1 @ Y0)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) = (sK2 @ Y2 @ Y3)))))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (sK2 @ Y1 @ Y2)))))))) => (?? @ a @ Y0))))))), 0.16/0.49 inference(binary_proxy_clausification,[],[f12])). 0.16/0.49 % SZS output end Proof for E---3.1_12553 0.16/0.49 % (12672)------------------------------ 0.16/0.49 % (12672)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.49 % (12672)Termination reason: Refutation 0.16/0.49 0.16/0.49 % (12672)Memory used [KB]: 6396 0.16/0.49 % (12672)Time elapsed: 0.123 s 0.16/0.49 % (12672)Instructions burned: 231 (million) 0.16/0.49 % (12672)------------------------------ 0.16/0.49 % (12672)------------------------------ 0.16/0.49 % (12660)Success in time 0.146 s 0.16/0.49 EOF