0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n014.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 04:24:49 EDT 2025 0.12/0.33 % CPUTime : 0.18/0.34 This is a THF_ problem 0.18/0.35 Running higher-order theorem proving 0.18/0.39 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.yGloktBoVC/E---3.1_16394.p -m 16384 -t 240 0.25/0.43 % (16505)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_16394 for (2399ds/2Mi) 0.25/0.43 % (16502)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_16394 for (2399ds/4Mi) 0.25/0.43 % (16503)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_16394 for (2399ds/27Mi) 0.25/0.43 % (16501)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/183Mi) 0.25/0.43 % (16504)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/2Mi) 0.25/0.43 % (16506)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_16394 for (2399ds/275Mi) 0.25/0.43 % (16507)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/18Mi) 0.25/0.43 % (16504)Instruction limit reached! 0.25/0.43 % (16504)------------------------------ 0.25/0.43 % (16504)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.43 % (16504)Termination reason: Unknown 0.25/0.43 % (16504)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (16505)Instruction limit reached! 0.25/0.44 % (16505)------------------------------ 0.25/0.44 % (16505)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (16505)Termination reason: Unknown 0.25/0.44 % (16505)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (16505)Memory used [KB]: 1407 0.25/0.44 % (16505)Time elapsed: 0.004 s 0.25/0.44 % (16505)Instructions burned: 3 (million) 0.25/0.44 % (16505)------------------------------ 0.25/0.44 % (16505)------------------------------ 0.25/0.44 % (16504)Memory used [KB]: 1407 0.25/0.44 % (16504)Time elapsed: 0.004 s 0.25/0.44 % (16504)Instructions burned: 2 (million) 0.25/0.44 % (16504)------------------------------ 0.25/0.44 % (16504)------------------------------ 0.25/0.44 % (16502)Instruction limit reached! 0.25/0.44 % (16502)------------------------------ 0.25/0.44 % (16502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (16502)Termination reason: Unknown 0.25/0.44 % (16502)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (16502)Memory used [KB]: 1407 0.25/0.44 % (16502)Time elapsed: 0.005 s 0.25/0.44 % (16502)Instructions burned: 4 (million) 0.25/0.44 % (16502)------------------------------ 0.25/0.44 % (16502)------------------------------ 0.25/0.45 % (16507)Instruction limit reached! 0.25/0.45 % (16507)------------------------------ 0.25/0.45 % (16507)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (16507)Termination reason: Unknown 0.25/0.45 % (16507)Termination phase: Property scanning 0.25/0.45 0.25/0.45 % (16507)Memory used [KB]: 1791 0.25/0.45 % (16507)Time elapsed: 0.014 s 0.25/0.45 % (16507)Instructions burned: 19 (million) 0.25/0.45 % (16507)------------------------------ 0.25/0.45 % (16507)------------------------------ 0.25/0.45 % (16503)Instruction limit reached! 0.25/0.45 % (16503)------------------------------ 0.25/0.45 % (16503)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (16503)Termination reason: Unknown 0.25/0.45 % (16503)Termination phase: Property scanning 0.25/0.45 0.25/0.45 % (16503)Memory used [KB]: 1791 0.25/0.45 % (16503)Time elapsed: 0.019 s 0.25/0.45 % (16503)Instructions burned: 28 (million) 0.25/0.45 % (16503)------------------------------ 0.25/0.45 % (16503)------------------------------ 0.25/0.45 % (16508)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_16394 for (2399ds/3Mi) 0.25/0.45 % (16509)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_16394 for (2399ds/37Mi) 0.25/0.45 % (16510)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_16394 for (2399ds/15Mi) 0.25/0.45 % (16508)Instruction limit reached! 0.25/0.45 % (16508)------------------------------ 0.25/0.45 % (16508)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (16508)Termination reason: Unknown 0.25/0.45 % (16508)Termination phase: shuffling 0.25/0.45 0.25/0.45 % (16508)Memory used [KB]: 1407 0.25/0.45 % (16508)Time elapsed: 0.004 s 0.25/0.45 % (16508)Instructions burned: 3 (million) 0.25/0.45 % (16508)------------------------------ 0.25/0.45 % (16508)------------------------------ 0.25/0.46 % (16511)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_16394 for (2399ds/3Mi) 0.25/0.46 % (16511)Instruction limit reached! 0.25/0.46 % (16511)------------------------------ 0.25/0.46 % (16511)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (16511)Termination reason: Unknown 0.25/0.46 % (16511)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (16511)Memory used [KB]: 1407 0.25/0.46 % (16511)Time elapsed: 0.003 s 0.25/0.46 % (16511)Instructions burned: 3 (million) 0.25/0.46 % (16511)------------------------------ 0.25/0.46 % (16511)------------------------------ 0.25/0.46 % (16510)Instruction limit reached! 0.25/0.46 % (16510)------------------------------ 0.25/0.46 % (16510)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (16510)Termination reason: Unknown 0.25/0.46 % (16510)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (16510)Memory used [KB]: 1791 0.25/0.46 % (16510)Time elapsed: 0.012 s 0.25/0.46 % (16510)Instructions burned: 15 (million) 0.25/0.46 % (16510)------------------------------ 0.25/0.46 % (16510)------------------------------ 0.25/0.47 % (16512)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_16394 for (2399ds/1041Mi) 0.25/0.47 % (16513)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/7Mi) 0.25/0.47 % (16514)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/16Mi) 0.25/0.47 % (16509)Instruction limit reached! 0.25/0.47 % (16509)------------------------------ 0.25/0.47 % (16509)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (16509)Termination reason: Unknown 0.25/0.47 % (16509)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (16509)Memory used [KB]: 2174 0.25/0.47 % (16509)Time elapsed: 0.022 s 0.25/0.47 % (16509)Instructions burned: 38 (million) 0.25/0.47 % (16509)------------------------------ 0.25/0.47 % (16509)------------------------------ 0.25/0.47 % (16513)Instruction limit reached! 0.25/0.47 % (16513)------------------------------ 0.25/0.47 % (16513)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (16513)Termination reason: Unknown 0.25/0.47 % (16513)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (16513)Memory used [KB]: 1535 0.25/0.47 % (16513)Time elapsed: 0.007 s 0.25/0.47 % (16513)Instructions burned: 8 (million) 0.25/0.47 % (16513)------------------------------ 0.25/0.47 % (16513)------------------------------ 0.25/0.48 % (16514)Instruction limit reached! 0.25/0.48 % (16514)------------------------------ 0.25/0.48 % (16514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (16514)Termination reason: Unknown 0.25/0.48 % (16514)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (16514)Memory used [KB]: 1791 0.25/0.48 % (16514)Time elapsed: 0.008 s 0.25/0.48 % (16514)Instructions burned: 17 (million) 0.25/0.48 % (16514)------------------------------ 0.25/0.48 % (16514)------------------------------ 0.25/0.48 % (16515)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_16394 for (2399ds/3Mi) 0.25/0.48 % (16515)Instruction limit reached! 0.25/0.48 % (16515)------------------------------ 0.25/0.48 % (16515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (16515)Termination reason: Unknown 0.25/0.48 % (16515)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (16515)Memory used [KB]: 1407 0.25/0.48 % (16515)Time elapsed: 0.004 s 0.25/0.48 % (16515)Instructions burned: 3 (million) 0.25/0.48 % (16515)------------------------------ 0.25/0.48 % (16515)------------------------------ 0.25/0.48 % (16518)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_16394 for (2399ds/3Mi) 0.25/0.49 % (16518)Instruction limit reached! 0.25/0.49 % (16518)------------------------------ 0.25/0.49 % (16518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (16518)Termination reason: Unknown 0.25/0.49 % (16518)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (16518)Memory used [KB]: 1407 0.25/0.49 % (16518)Time elapsed: 0.003 s 0.25/0.49 % (16518)Instructions burned: 4 (million) 0.25/0.49 % (16518)------------------------------ 0.25/0.49 % (16518)------------------------------ 0.25/0.49 % (16516)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_16394 for (2399ds/3Mi) 0.25/0.49 % (16516)Instruction limit reached! 0.25/0.49 % (16516)------------------------------ 0.25/0.49 % (16516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (16516)Termination reason: Unknown 0.25/0.49 % (16516)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (16516)Memory used [KB]: 1407 0.25/0.49 % (16516)Time elapsed: 0.004 s 0.25/0.49 % (16516)Instructions burned: 3 (million) 0.25/0.49 % (16516)------------------------------ 0.25/0.49 % (16516)------------------------------ 0.25/0.49 % (16517)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_16394 for (2399ds/7Mi) 0.25/0.49 % (16517)Instruction limit reached! 0.25/0.49 % (16517)------------------------------ 0.25/0.49 % (16517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (16517)Termination reason: Unknown 0.25/0.49 % (16517)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (16517)Memory used [KB]: 1535 0.25/0.49 % (16517)Time elapsed: 0.007 s 0.25/0.49 % (16517)Instructions burned: 8 (million) 0.25/0.49 % (16517)------------------------------ 0.25/0.49 % (16517)------------------------------ 0.25/0.49 % (16520)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_16394 for (2399ds/18Mi) 0.25/0.49 % (16519)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/4Mi) 0.25/0.50 % (16519)Instruction limit reached! 0.25/0.50 % (16519)------------------------------ 0.25/0.50 % (16519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (16519)Termination reason: Unknown 0.25/0.50 % (16519)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (16519)Memory used [KB]: 1407 0.25/0.50 % (16519)Time elapsed: 0.005 s 0.25/0.50 % (16519)Instructions burned: 4 (million) 0.25/0.50 % (16519)------------------------------ 0.25/0.50 % (16519)------------------------------ 0.25/0.50 % (16520)Instruction limit reached! 0.25/0.50 % (16520)------------------------------ 0.25/0.50 % (16520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (16520)Termination reason: Unknown 0.25/0.50 % (16520)Termination phase: Property scanning 0.25/0.50 0.25/0.50 % (16520)Memory used [KB]: 1791 0.25/0.50 % (16520)Time elapsed: 0.009 s 0.25/0.50 % (16520)Instructions burned: 20 (million) 0.25/0.50 % (16520)------------------------------ 0.25/0.50 % (16520)------------------------------ 0.25/0.50 % (16521)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/710Mi) 0.25/0.51 % (16522)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_16394 for (2399ds/6Mi) 0.25/0.51 % (16524)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_16394 for (2398ds/21Mi) 0.25/0.51 % (16523)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_16394 for (2398ds/902Mi) 0.25/0.51 % (16522)Instruction limit reached! 0.25/0.51 % (16522)------------------------------ 0.25/0.51 % (16522)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (16522)Termination reason: Unknown 0.25/0.51 % (16522)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (16522)Memory used [KB]: 1535 0.25/0.51 % (16522)Time elapsed: 0.006 s 0.25/0.51 % (16522)Instructions burned: 6 (million) 0.25/0.51 % (16522)------------------------------ 0.25/0.51 % (16522)------------------------------ 0.25/0.52 % (16524)Instruction limit reached! 0.25/0.52 % (16524)------------------------------ 0.25/0.52 % (16524)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.52 % (16524)Termination reason: Unknown 0.25/0.52 % (16524)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (16524)Memory used [KB]: 1918 0.25/0.52 % (16524)Time elapsed: 0.010 s 0.25/0.52 % (16524)Instructions burned: 22 (million) 0.25/0.52 % (16524)------------------------------ 0.25/0.52 % (16524)------------------------------ 0.25/0.53 % (16526)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_16394 for (2398ds/6Mi) 0.25/0.53 % (16525)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_16394 for (2398ds/5Mi) 0.25/0.53 % (16526)Instruction limit reached! 0.25/0.53 % (16526)------------------------------ 0.25/0.53 % (16526)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (16526)Termination reason: Unknown 0.25/0.53 % (16526)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (16526)Memory used [KB]: 1535 0.25/0.53 % (16526)Time elapsed: 0.004 s 0.25/0.53 % (16526)Instructions burned: 7 (million) 0.25/0.53 % (16526)------------------------------ 0.25/0.53 % (16526)------------------------------ 0.25/0.53 % (16525)Instruction limit reached! 0.25/0.53 % (16525)------------------------------ 0.25/0.53 % (16525)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (16525)Termination reason: Unknown 0.25/0.53 % (16525)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (16525)Memory used [KB]: 1407 0.25/0.53 % (16525)Time elapsed: 0.005 s 0.25/0.53 % (16525)Instructions burned: 5 (million) 0.25/0.53 % (16525)------------------------------ 0.25/0.53 % (16525)------------------------------ 0.25/0.54 % (16501)Instruction limit reached! 0.25/0.54 % (16501)------------------------------ 0.25/0.54 % (16501)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.54 % (16501)Termination reason: Unknown 0.25/0.54 % (16501)Termination phase: Saturation 0.25/0.54 0.25/0.54 % (16501)Memory used [KB]: 7419 0.25/0.54 % (16501)Time elapsed: 0.105 s 0.25/0.54 % (16501)Instructions burned: 184 (million) 0.25/0.54 % (16501)------------------------------ 0.25/0.54 % (16501)------------------------------ 0.25/0.54 % (16527)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_16394 for (2398ds/377Mi) 0.25/0.55 % (16528)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_16394 for (2398ds/779Mi) 0.25/0.55 % (16529)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_16394 for (2398ds/19Mi) 0.25/0.56 % (16529)Instruction limit reached! 0.25/0.56 % (16529)------------------------------ 0.25/0.56 % (16529)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.56 % (16529)Termination reason: Unknown 0.25/0.56 % (16529)Termination phase: shuffling 0.25/0.56 0.25/0.56 % (16529)Memory used [KB]: 1791 0.25/0.56 % (16529)Time elapsed: 0.009 s 0.25/0.56 % (16529)Instructions burned: 22 (million) 0.25/0.56 % (16529)------------------------------ 0.25/0.56 % (16529)------------------------------ 0.25/0.57 % (16530)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_16394 for (2398ds/879Mi) 1.26/0.57 % (16506)First to succeed. 1.26/0.58 % (16506)Refutation found. Thanks to Tanya! 1.26/0.58 % SZS status Theorem for E---3.1_16394 1.26/0.58 % SZS output start Proof for E---3.1_16394 1.26/0.58 thf(type_def_5, type, variable: $tType). 1.26/0.58 thf(type_def_6, type, real: $tType). 1.26/0.58 thf(type_def_8, type, set_variable: $tType). 1.26/0.58 thf(type_def_9, type, denotational_interp: $tType). 1.26/0.58 thf(type_def_10, type, game: $tType). 1.26/0.58 thf(type_def_11, type, set_variable_real: $tType). 1.26/0.58 thf(type_def_12, type, produc1078154247n_game: $tType). 1.26/0.58 thf(type_def_13, type, produc2038871085e_real: $tType). 1.26/0.58 thf(type_def_14, type, produc1755325794riable: $tType). 1.26/0.58 thf(type_def_15, type, produc1794985442e_real: $tType). 1.26/0.58 thf(type_def_16, type, produc432717079riable: $tType). 1.26/0.58 thf(type_def_17, type, set_Pr166476775n_game: $tType). 1.26/0.58 thf(type_def_18, type, option_game: $tType). 1.26/0.58 thf(type_def_19, type, produc735959047riable: $tType). 1.26/0.58 thf(type_def_20, type, produc1418842292n_game: $tType). 1.26/0.58 thf(func_def_0, type, produc1418842292n_game: $tType). 1.26/0.58 thf(func_def_1, type, produc2038871085e_real: $tType). 1.26/0.58 thf(func_def_2, type, produc1794985442e_real: $tType). 1.26/0.58 thf(func_def_3, type, produc1755325794riable: $tType). 1.26/0.58 thf(func_def_4, type, set_Pr166476775n_game: $tType). 1.26/0.58 thf(func_def_5, type, produc1078154247n_game: $tType). 1.26/0.58 thf(func_def_6, type, produc735959047riable: $tType). 1.26/0.58 thf(func_def_7, type, produc432717079riable: $tType). 1.26/0.58 thf(func_def_8, type, set_variable_real: $tType). 1.26/0.58 thf(func_def_9, type, option_game: $tType). 1.26/0.58 thf(func_def_10, type, denotational_interp: $tType). 1.26/0.58 thf(func_def_11, type, set_variable: $tType). 1.26/0.58 thf(func_def_12, type, variable: $tType). 1.26/0.58 thf(func_def_13, type, game: $tType). 1.26/0.58 thf(func_def_14, type, real: $tType). 1.26/0.58 thf(func_def_15, type, denota1419872369iation: (variable > real) > (variable > real) > set_variable > $o). 1.26/0.58 thf(func_def_16, type, denota1245701238me_sem: denotational_interp > game > set_variable_real > set_variable_real). 1.26/0.58 thf(func_def_17, type, uminus970116630real_o: ((variable > real) > $o) > (variable > real) > $o). 1.26/0.58 thf(func_def_18, type, uminus679091071game_o: (produc1078154247n_game > $o) > produc1078154247n_game > $o). 1.26/0.58 thf(func_def_19, type, uminus1666842273able_o: (variable > $o) > variable > $o). 1.26/0.58 thf(func_def_20, type, uminus_uminus_o: $o > $o). 1.26/0.58 thf(func_def_21, type, uminus501400228e_real: produc2038871085e_real > produc2038871085e_real). 1.26/0.58 thf(func_def_22, type, uminus2115124697riable: produc1755325794riable > produc1755325794riable). 1.26/0.58 thf(func_def_23, type, uminus7300697e_real: produc1794985442e_real > produc1794985442e_real). 1.26/0.58 thf(func_def_24, type, uminus269410190riable: produc432717079riable > produc432717079riable). 1.26/0.58 thf(func_def_25, type, uminus430703407e_real: set_variable_real > set_variable_real). 1.26/0.58 thf(func_def_26, type, uminus2030647006n_game: set_Pr166476775n_game > set_Pr166476775n_game). 1.26/0.58 thf(func_def_27, type, uminus1851247844riable: set_variable > set_variable). 1.26/0.58 thf(func_def_28, type, sup_su1685293586e_real: set_variable_real > set_variable_real > set_variable_real). 1.26/0.58 thf(func_def_29, type, sup_sup_set_variable: set_variable > set_variable > set_variable). 1.26/0.58 thf(func_def_30, type, none_game: option_game). 1.26/0.58 thf(func_def_31, type, the_game: option_game > game). 1.26/0.58 thf(func_def_32, type, ord_le1354144447real_o: ((variable > real) > $o) > ((variable > real) > $o) > $o). 1.26/0.58 thf(func_def_33, type, ord_le2134856704game_o: (set_variable > option_game > $o) > (set_variable > option_game > $o) > $o). 1.26/0.58 thf(func_def_34, type, ord_le1407353162able_o: (variable > $o) > (variable > $o) > $o). 1.26/0.58 thf(func_def_35, type, ord_le1113654598e_real: set_variable_real > set_variable_real > $o). 1.26/0.58 thf(func_def_36, type, ord_le17855367n_game: set_Pr166476775n_game > set_Pr166476775n_game > $o). 1.26/0.58 thf(func_def_37, type, ord_le282106107riable: set_variable > set_variable > $o). 1.26/0.58 thf(func_def_38, type, produc1140431679riable: option_game > set_variable > produc735959047riable). 1.26/0.58 thf(func_def_39, type, produc86945893e_real: set_variable_real > set_variable_real > produc2038871085e_real). 1.26/0.58 thf(func_def_40, type, produc544095770riable: set_variable_real > set_variable > produc1755325794riable). 1.26/0.58 thf(func_def_41, type, produc1149443391n_game: set_variable > option_game > produc1078154247n_game). 1.26/0.58 thf(func_def_42, type, produc1400669210e_real: set_variable > set_variable_real > produc1794985442e_real). 1.26/0.58 thf(func_def_43, type, produc1766592463riable: set_variable > set_variable > produc432717079riable). 1.26/0.58 thf(func_def_44, type, produc884810027riable: produc735959047riable > option_game). 1.26/0.58 thf(func_def_45, type, produc702045265e_real: produc2038871085e_real > set_variable_real). 1.26/0.58 thf(func_def_46, type, produc944271878riable: produc1755325794riable > set_variable_real). 1.26/0.58 thf(func_def_47, type, produc893821739n_game: produc1078154247n_game > set_variable). 1.26/0.58 thf(func_def_48, type, produc1800845318e_real: produc1794985442e_real > set_variable). 1.26/0.58 thf(func_def_49, type, produc1300679611riable: produc432717079riable > set_variable). 1.26/0.58 thf(func_def_50, type, produc284475501riable: produc735959047riable > set_variable). 1.26/0.58 thf(func_def_51, type, produc220849299e_real: produc2038871085e_real > set_variable_real). 1.26/0.58 thf(func_def_52, type, produc1192298056riable: produc1755325794riable > set_variable). 1.26/0.58 thf(func_def_53, type, produc293487213n_game: produc1078154247n_game > option_game). 1.26/0.58 thf(func_def_54, type, produc2048871496e_real: produc1794985442e_real > set_variable_real). 1.26/0.58 thf(func_def_55, type, produc319712253riable: produc432717079riable > set_variable). 1.26/0.58 thf(func_def_56, type, produc345397471riable: produc735959047riable > produc1078154247n_game). 1.26/0.58 thf(func_def_57, type, produc354409183n_game: produc1078154247n_game > produc735959047riable). 1.26/0.58 thf(func_def_58, type, collec633296133e_real: ((variable > real) > $o) > set_variable_real). 1.26/0.58 thf(func_def_59, type, collec1702522994n_game: (produc1078154247n_game > $o) > set_Pr166476775n_game). 1.26/0.58 thf(func_def_60, type, collect_variable: (variable > $o) > set_variable). 1.26/0.58 thf(func_def_61, type, skip: game). 1.26/0.58 thf(func_def_62, type, choice: game > game > game). 1.26/0.58 thf(func_def_63, type, dual: game > game). 1.26/0.58 thf(func_def_64, type, loop: game > game). 1.26/0.58 thf(func_def_65, type, uSubst1484167963hoiceo: option_game > option_game > option_game). 1.26/0.58 thf(func_def_66, type, uSubst1916713664_Dualo: option_game > option_game). 1.26/0.58 thf(func_def_67, type, uSubst23177304_Loopo: option_game > option_game). 1.26/0.58 thf(func_def_68, type, uSubst1599435252djoint: produc1418842292n_game > denotational_interp > (variable > real) > denotational_interp). 1.26/0.58 thf(func_def_69, type, uSubst516392814stappp: produc1418842292n_game > set_variable > game > produc1078154247n_game). 1.26/0.58 thf(func_def_70, type, member_variable_real: (variable > real) > set_variable_real > $o). 1.26/0.58 thf(func_def_71, type, member171223600n_game: produc1078154247n_game > set_Pr166476775n_game > $o). 1.26/0.58 thf(func_def_72, type, member_variable: variable > set_variable > $o). 1.26/0.58 thf(func_def_73, type, i: denotational_interp). 1.26/0.58 thf(func_def_74, type, u: set_variable). 1.26/0.58 thf(func_def_75, type, ua: set_variable). 1.26/0.58 thf(func_def_76, type, xa: set_variable_real). 1.26/0.58 thf(func_def_77, type, alpha: game). 1.26/0.58 thf(func_def_78, type, nu: variable > real). 1.26/0.58 thf(func_def_79, type, nu2: variable > real). 1.26/0.58 thf(func_def_80, type, omega: variable > real). 1.26/0.58 thf(func_def_81, type, omega2: variable > real). 1.26/0.58 thf(func_def_82, type, sigma: produc1418842292n_game). 1.26/0.58 thf(func_def_96, type, sK0: set_variable > produc1418842292n_game > game > denotational_interp > variable > real). 1.26/0.58 thf(func_def_97, type, sK1: set_variable > produc1418842292n_game > game > denotational_interp > variable > real). 1.26/0.58 thf(func_def_98, type, sK2: set_variable > produc1418842292n_game > game > denotational_interp > set_variable_real). 1.26/0.58 thf(func_def_99, type, sK3: set_variable_real > set_variable_real > variable > real). 1.26/0.58 thf(func_def_100, type, sK4: (set_variable_real > $o) > set_variable_real). 1.26/0.58 thf(func_def_101, type, sK5: (set_variable_real > $o) > set_variable_real). 1.26/0.58 thf(func_def_102, type, sK6: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_103, type, sK7: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_104, type, sK8: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_105, type, sK9: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_106, type, sK10: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_107, type, sK11: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_108, type, sK12: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_109, type, sK13: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_110, type, sK14: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_111, type, sK15: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_112, type, sK16: produc1078154247n_game > option_game > set_variable). 1.26/0.58 thf(func_def_113, type, sK17: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_114, type, sK18: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_115, type, sK19: (produc1078154247n_game > $o) > option_game). 1.26/0.58 thf(func_def_116, type, sK20: (produc1078154247n_game > $o) > set_variable). 1.26/0.58 thf(func_def_117, type, sK21: produc1078154247n_game > option_game). 1.26/0.58 thf(func_def_118, type, sK22: produc1078154247n_game > set_variable). 1.26/0.58 thf(func_def_119, type, sK23: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_120, type, sK24: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_121, type, sK25: produc1078154247n_game > set_variable > option_game). 1.26/0.58 thf(func_def_122, type, sK26: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_123, type, sK27: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_124, type, sK28: (produc1078154247n_game > $o) > option_game). 1.26/0.58 thf(func_def_125, type, sK29: (produc1078154247n_game > $o) > set_variable). 1.26/0.58 thf(func_def_126, type, sK30: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_127, type, sK31: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_128, type, sK32: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_129, type, sK33: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_130, type, sK34: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_131, type, sK35: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_132, type, sK36: (set_variable_real > set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_133, type, sK37: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_134, type, sK38: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_135, type, sK39: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_136, type, sK40: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_137, type, sK41: set_variable_real > set_variable_real > set_variable_real > set_variable_real). 1.26/0.58 thf(func_def_138, type, sK42: set_variable_real > set_variable_real > set_variable_real > set_variable_real). 1.26/0.58 thf(func_def_139, type, sK43: produc1078154247n_game > option_game). 1.26/0.58 thf(func_def_140, type, sK44: produc1078154247n_game > set_variable). 1.26/0.58 thf(func_def_141, type, sK45: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_142, type, sK46: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_143, type, sK47: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_144, type, sK48: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_145, type, sK49: (option_game > set_variable > $o) > option_game). 1.26/0.58 thf(func_def_146, type, sK50: (option_game > set_variable > $o) > set_variable). 1.26/0.58 thf(func_def_147, type, sK51: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_148, type, sK52: (set_variable > set_variable) > set_variable). 1.26/0.58 thf(func_def_149, type, sK53: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_150, type, sK54: (set_variable > set_variable_real) > set_variable). 1.26/0.58 thf(func_def_151, type, sK55: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_152, type, sK56: (set_variable_real > set_variable) > set_variable_real). 1.26/0.58 thf(func_def_153, type, sK57: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_154, type, sK58: (set_variable_real > set_variable_real) > set_variable_real). 1.26/0.58 thf(func_def_156, type, ph60: !>[X0: $tType]:(X0)). 1.26/0.58 thf(f2260,plain,( 1.26/0.58 $false), 1.26/0.58 inference(avatar_sat_refutation,[],[f1458,f1467,f1609,f1612,f1668,f2258])). 1.26/0.58 thf(f2258,plain,( 1.26/0.58 ~spl59_1 | ~spl59_4), 1.26/0.58 inference(avatar_contradiction_clause,[],[f2257])). 1.26/0.58 thf(f2257,plain,( 1.26/0.58 $false | (~spl59_1 | ~spl59_4)), 1.26/0.58 inference(subsumption_resolution,[],[f2256,f1276])). 1.26/0.58 thf(f1276,plain,( 1.26/0.58 ((denota1419872369iation @ nu2 @ omega2 @ ua) = $true)), 1.26/0.58 inference(cnf_transformation,[],[f499])). 1.26/0.58 thf(f499,plain,( 1.26/0.58 ((denota1419872369iation @ nu2 @ omega2 @ ua) = $true)), 1.26/0.58 inference(fool_elimination,[],[f498])). 1.26/0.58 thf(f498,plain,( 1.26/0.58 (denota1419872369iation @ nu2 @ omega2 @ ua)), 1.26/0.58 inference(rectify,[],[f260])). 1.26/0.58 thf(f260,axiom,( 1.26/0.58 (denota1419872369iation @ nu2 @ omega2 @ ua)), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',fact_2_uv)). 1.26/0.58 thf(f2256,plain,( 1.26/0.58 ((denota1419872369iation @ nu2 @ omega2 @ ua) != $true) | (~spl59_1 | ~spl59_4)), 1.26/0.58 inference(subsumption_resolution,[],[f2249,f1652])). 1.26/0.58 thf(f1652,plain,( 1.26/0.58 ($true = (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ~spl59_4), 1.26/0.58 inference(trivial_inequality_removal,[],[f1638])). 1.26/0.58 thf(f1638,plain,( 1.26/0.58 ($true = $false) | ($true = (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ~spl59_4), 1.26/0.58 inference(superposition,[],[f1466,f1199])). 1.26/0.58 thf(f1199,plain,( 1.26/0.58 ( ! [X0 : set_variable_real,X1 : variable > real] : (($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))) | ($true = (member_variable_real @ X1 @ X0))) )), 1.26/0.58 inference(cnf_transformation,[],[f1088])). 1.26/0.58 thf(f1088,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : (($true = (member_variable_real @ X1 @ X0)) | ($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))))), 1.26/0.58 inference(ennf_transformation,[],[f904])). 1.26/0.58 thf(f904,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : (($true != (member_variable_real @ X1 @ X0)) => ($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))))), 1.26/0.58 inference(flattening,[],[f615])). 1.26/0.58 thf(f615,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : (~($true = (member_variable_real @ X1 @ X0)) => ($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))))), 1.26/0.58 inference(fool_elimination,[],[f614])). 1.26/0.58 thf(f614,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : (~(member_variable_real @ X1 @ X0) => (member_variable_real @ X1 @ (uminus430703407e_real @ X0)))), 1.26/0.58 inference(rectify,[],[f268])). 1.26/0.58 thf(f268,axiom,( 1.26/0.58 ! [X13 : set_variable_real,X9 : variable > real] : (~(member_variable_real @ X9 @ X13) => (member_variable_real @ X9 @ (uminus430703407e_real @ X13)))), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',fact_10_ComplI)). 1.26/0.58 thf(f1466,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) = $false) | ~spl59_4), 1.26/0.58 inference(avatar_component_clause,[],[f1464])). 1.26/0.58 thf(f1464,plain,( 1.26/0.58 spl59_4 <=> ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) = $false)), 1.26/0.58 introduced(avatar_definition,[new_symbols(naming,[spl59_4])])). 1.26/0.58 thf(f2249,plain,( 1.26/0.58 ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ((denota1419872369iation @ nu2 @ omega2 @ ua) != $true) | ~spl59_1), 1.26/0.58 inference(superposition,[],[f2217,f1273])). 1.26/0.58 thf(f1273,plain,( 1.26/0.58 ( ! [X0 : set_variable_real] : (((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0))) | ((denota1419872369iation @ nu2 @ omega2 @ ua) != $true)) )), 1.26/0.58 inference(cnf_transformation,[],[f1074])). 1.26/0.58 thf(f1074,plain,( 1.26/0.58 ! [X0 : set_variable_real] : (((denota1419872369iation @ nu2 @ omega2 @ ua) != $true) | ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0))))), 1.26/0.58 inference(ennf_transformation,[],[f473])). 1.26/0.58 thf(f473,plain,( 1.26/0.58 ! [X0 : set_variable_real] : (((denota1419872369iation @ nu2 @ omega2 @ ua) = $true) => ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0))))), 1.26/0.58 inference(fool_elimination,[],[f472])). 1.26/0.58 thf(f472,plain,( 1.26/0.58 ! [X0 : set_variable_real] : ((denota1419872369iation @ nu2 @ omega2 @ ua) => ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0))))), 1.26/0.58 inference(rectify,[],[f290])). 1.26/0.58 thf(f290,axiom,( 1.26/0.58 ! [X5 : set_variable_real] : ((denota1419872369iation @ nu2 @ omega2 @ ua) => ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X5)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X5))))), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',fact_1_IH_092_060alpha_062)). 1.26/0.58 thf(f2217,plain,( 1.26/0.58 ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) | ~spl59_1), 1.26/0.58 inference(trivial_inequality_removal,[],[f2215])). 1.26/0.58 thf(f2215,plain,( 1.26/0.58 ($true != $true) | ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) | ~spl59_1), 1.26/0.58 inference(superposition,[],[f1363,f1453])). 1.26/0.58 thf(f1453,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = $true) | ~spl59_1), 1.26/0.58 inference(avatar_component_clause,[],[f1451])). 1.26/0.58 thf(f1451,plain,( 1.26/0.58 spl59_1 <=> ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = $true)), 1.26/0.58 introduced(avatar_definition,[new_symbols(naming,[spl59_1])])). 1.26/0.58 thf(f1363,plain,( 1.26/0.58 ( ! [X0 : variable > real,X1 : set_variable_real] : (($true != (member_variable_real @ X0 @ (uminus430703407e_real @ X1))) | ($true != (member_variable_real @ X0 @ X1))) )), 1.26/0.58 inference(cnf_transformation,[],[f990])). 1.26/0.58 thf(f990,plain,( 1.26/0.58 ! [X0 : variable > real,X1 : set_variable_real] : (($true != (member_variable_real @ X0 @ (uminus430703407e_real @ X1))) | ($true != (member_variable_real @ X0 @ X1)))), 1.26/0.58 inference(ennf_transformation,[],[f905])). 1.26/0.58 thf(f905,plain,( 1.26/0.58 ! [X0 : variable > real,X1 : set_variable_real] : (($true = (member_variable_real @ X0 @ (uminus430703407e_real @ X1))) => ($true != (member_variable_real @ X0 @ X1)))), 1.26/0.58 inference(flattening,[],[f371])). 1.26/0.58 thf(f371,plain,( 1.26/0.58 ! [X0 : variable > real,X1 : set_variable_real] : (($true = (member_variable_real @ X0 @ (uminus430703407e_real @ X1))) => ~($true = (member_variable_real @ X0 @ X1)))), 1.26/0.58 inference(fool_elimination,[],[f370])). 1.26/0.58 thf(f370,plain,( 1.26/0.58 ! [X0 : variable > real,X1 : set_variable_real] : ((member_variable_real @ X0 @ (uminus430703407e_real @ X1)) => ~(member_variable_real @ X0 @ X1))), 1.26/0.58 inference(rectify,[],[f34])). 1.26/0.58 thf(f34,axiom,( 1.26/0.58 ! [X9 : variable > real,X13 : set_variable_real] : ((member_variable_real @ X9 @ (uminus430703407e_real @ X13)) => ~(member_variable_real @ X9 @ X13))), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',fact_33_ComplD)). 1.26/0.58 thf(f1668,plain,( 1.26/0.58 ~spl59_2 | ~spl59_4), 1.26/0.58 inference(avatar_contradiction_clause,[],[f1667])). 1.26/0.58 thf(f1667,plain,( 1.26/0.58 $false | (~spl59_2 | ~spl59_4)), 1.26/0.58 inference(subsumption_resolution,[],[f1652,f1636])). 1.26/0.58 thf(f1636,plain,( 1.26/0.58 ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ~spl59_2), 1.26/0.58 inference(trivial_inequality_removal,[],[f1634])). 1.26/0.58 thf(f1634,plain,( 1.26/0.58 ($true != $true) | ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ~spl59_2), 1.26/0.58 inference(superposition,[],[f1363,f1457])). 1.26/0.58 thf(f1457,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) = $true) | ~spl59_2), 1.26/0.58 inference(avatar_component_clause,[],[f1455])). 1.26/0.58 thf(f1455,plain,( 1.26/0.58 spl59_2 <=> ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) = $true)), 1.26/0.58 introduced(avatar_definition,[new_symbols(naming,[spl59_2])])). 1.26/0.58 thf(f1612,plain,( 1.26/0.58 ~spl59_1 | ~spl59_3), 1.26/0.58 inference(avatar_contradiction_clause,[],[f1611])). 1.26/0.58 thf(f1611,plain,( 1.26/0.58 $false | (~spl59_1 | ~spl59_3)), 1.26/0.58 inference(trivial_inequality_removal,[],[f1610])). 1.26/0.58 thf(f1610,plain,( 1.26/0.58 ($true = $false) | (~spl59_1 | ~spl59_3)), 1.26/0.58 inference(forward_demodulation,[],[f1453,f1462])). 1.26/0.58 thf(f1462,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = $false) | ~spl59_3), 1.26/0.58 inference(avatar_component_clause,[],[f1460])). 1.26/0.58 thf(f1460,plain,( 1.26/0.58 spl59_3 <=> ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = $false)), 1.26/0.58 introduced(avatar_definition,[new_symbols(naming,[spl59_3])])). 1.26/0.58 thf(f1609,plain,( 1.26/0.58 ~spl59_2 | ~spl59_3), 1.26/0.58 inference(avatar_contradiction_clause,[],[f1608])). 1.26/0.58 thf(f1608,plain,( 1.26/0.58 $false | (~spl59_2 | ~spl59_3)), 1.26/0.58 inference(subsumption_resolution,[],[f1597,f1471])). 1.26/0.58 thf(f1471,plain,( 1.26/0.58 ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ~spl59_2), 1.26/0.58 inference(trivial_inequality_removal,[],[f1468])). 1.26/0.58 thf(f1468,plain,( 1.26/0.58 ($true != (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ($true != $true) | ~spl59_2), 1.26/0.58 inference(superposition,[],[f1246,f1457])). 1.26/0.58 thf(f1246,plain,( 1.26/0.58 ( ! [X0 : set_variable_real,X1 : variable > real] : (($true != (member_variable_real @ X1 @ (uminus430703407e_real @ X0))) | ($true != (member_variable_real @ X1 @ X0))) )), 1.26/0.58 inference(cnf_transformation,[],[f1115])). 1.26/0.58 thf(f1115,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : ((($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))) | ($true = (member_variable_real @ X1 @ X0))) & (($true != (member_variable_real @ X1 @ X0)) | ($true != (member_variable_real @ X1 @ (uminus430703407e_real @ X0)))))), 1.26/0.58 inference(nnf_transformation,[],[f903])). 1.26/0.58 thf(f903,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : (($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))) <=> ($true != (member_variable_real @ X1 @ X0)))), 1.26/0.58 inference(flattening,[],[f655])). 1.26/0.58 thf(f655,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : (($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))) <=> ~($true = (member_variable_real @ X1 @ X0)))), 1.26/0.58 inference(fool_elimination,[],[f654])). 1.26/0.58 thf(f654,plain,( 1.26/0.58 ! [X0 : set_variable_real,X1 : variable > real] : ((member_variable_real @ X1 @ (uminus430703407e_real @ X0)) = ~(member_variable_real @ X1 @ X0))), 1.26/0.58 inference(rectify,[],[f336])). 1.26/0.58 thf(f336,axiom,( 1.26/0.58 ! [X13 : set_variable_real,X9 : variable > real] : ((member_variable_real @ X9 @ (uminus430703407e_real @ X13)) = ~(member_variable_real @ X9 @ X13))), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',fact_13_Compl__iff)). 1.26/0.58 thf(f1597,plain,( 1.26/0.58 ($true = (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) | ~spl59_3), 1.26/0.58 inference(superposition,[],[f1190,f1493])). 1.26/0.58 thf(f1493,plain,( 1.26/0.58 ($true = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) | ~spl59_3), 1.26/0.58 inference(trivial_inequality_removal,[],[f1476])). 1.26/0.58 thf(f1476,plain,( 1.26/0.58 ($true = $false) | ($true = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) | ~spl59_3), 1.26/0.58 inference(superposition,[],[f1462,f1247])). 1.26/0.58 thf(f1247,plain,( 1.26/0.58 ( ! [X0 : set_variable_real,X1 : variable > real] : (($true = (member_variable_real @ X1 @ (uminus430703407e_real @ X0))) | ($true = (member_variable_real @ X1 @ X0))) )), 1.26/0.58 inference(cnf_transformation,[],[f1115])). 1.26/0.58 thf(f1190,plain,( 1.26/0.58 ( ! [X0 : set_variable_real] : (((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0)))) )), 1.26/0.58 inference(cnf_transformation,[],[f906])). 1.26/0.58 thf(f906,plain,( 1.26/0.58 ! [X0 : set_variable_real] : ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0)))), 1.26/0.58 inference(rectify,[],[f85])). 1.26/0.58 thf(f85,axiom,( 1.26/0.58 ! [X5 : set_variable_real] : ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X5)) = (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X5)))), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062)). 1.26/0.58 thf(f1467,plain,( 1.26/0.58 spl59_3 | spl59_4), 1.26/0.58 inference(avatar_split_clause,[],[f1449,f1464,f1460])). 1.26/0.58 thf(f1449,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = $false) | ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) = $false)), 1.26/0.58 inference(binary_proxy_clausification,[],[f1243])). 1.26/0.58 thf(f1243,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) != (member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), 1.26/0.58 inference(cnf_transformation,[],[f892])). 1.26/0.58 thf(f892,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) != (member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), 1.26/0.58 inference(flattening,[],[f216])). 1.26/0.58 thf(f216,negated_conjecture,( 1.26/0.58 ~((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = (member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), 1.26/0.58 inference(negated_conjecture,[],[f215])). 1.26/0.58 thf(f215,conjecture,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = (member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), 1.26/0.58 file('/export/starexec/sandbox/tmp/tmp.yGloktBoVC/E---3.1_16394.p',conj_0)). 1.26/0.58 thf(f1458,plain,( 1.26/0.58 spl59_1 | spl59_2), 1.26/0.58 inference(avatar_split_clause,[],[f1448,f1455,f1451])). 1.26/0.58 thf(f1448,plain,( 1.26/0.58 ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))) = $true) | ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))) = $true)), 1.26/0.58 inference(binary_proxy_clausification,[],[f1243])). 1.26/0.58 % SZS output end Proof for E---3.1_16394 1.26/0.58 % (16506)------------------------------ 1.26/0.58 % (16506)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.26/0.58 % (16506)Termination reason: Refutation 1.26/0.58 1.26/0.58 % (16506)Memory used [KB]: 7291 1.26/0.58 % (16506)Time elapsed: 0.143 s 1.26/0.58 % (16506)Instructions burned: 265 (million) 1.26/0.58 % (16506)------------------------------ 1.26/0.58 % (16506)------------------------------ 1.26/0.58 % (16500)Success in time 0.176 s 1.26/0.58 EOF