0.11/0.36 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.36 % Command : run_vampire %s %d THM 0.15/0.59 % Computer : n008.cluster.edu 0.15/0.59 % Model : x86_64 x86_64 0.15/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.59 % Memory : 8042.1875MB 0.15/0.59 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.59 % CPULimit : 1440 0.15/0.59 % WCLimit : 180 0.15/0.59 % DateTime : Thu Jul 4 08:19:39 EDT 2024 0.15/0.60 % CPUTime : 0.15/0.61 This is a THF_ problem 0.15/0.62 Running higher-order theorem proving 0.21/0.65 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.L2lZQC4mia/E---3.1_15077.p -m 16384 -t 180 0.21/0.69 % (15190)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_15077 for (1799ds/2Mi) 0.21/0.69 % (15187)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_15077 for (1799ds/4Mi) 0.21/0.69 % (15192)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15077 for (1799ds/18Mi) 0.25/0.69 % (15190)Instruction limit reached! 0.25/0.69 % (15190)------------------------------ 0.25/0.69 % (15190)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.69 % (15191)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_15077 for (1799ds/275Mi) 0.25/0.69 % (15190)Termination reason: Unknown 0.25/0.69 % (15190)Termination phase: shuffling 0.25/0.69 0.25/0.69 % (15190)Memory used [KB]: 1279 0.25/0.69 % (15190)Time elapsed: 0.004 s 0.25/0.69 % (15190)Instructions burned: 2 (million) 0.25/0.69 % (15190)------------------------------ 0.25/0.69 % (15190)------------------------------ 0.25/0.69 % (15187)Instruction limit reached! 0.25/0.69 % (15187)------------------------------ 0.25/0.69 % (15187)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.69 % (15187)Termination reason: Unknown 0.25/0.69 % (15187)Termination phase: shuffling 0.25/0.69 0.25/0.69 % (15187)Memory used [KB]: 1407 0.25/0.69 % (15187)Time elapsed: 0.004 s 0.25/0.69 % (15187)Instructions burned: 4 (million) 0.25/0.69 % (15187)------------------------------ 0.25/0.69 % (15187)------------------------------ 0.25/0.69 % (15186)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15077 for (1799ds/183Mi) 0.25/0.69 % (15189)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15077 for (1799ds/2Mi) 0.25/0.70 % (15189)Instruction limit reached! 0.25/0.70 % (15189)------------------------------ 0.25/0.70 % (15189)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.70 % (15189)Termination reason: Unknown 0.25/0.70 % (15189)Termination phase: shuffling 0.25/0.70 0.25/0.70 % (15189)Memory used [KB]: 1279 0.25/0.70 % (15189)Time elapsed: 0.003 s 0.25/0.70 % (15189)Instructions burned: 3 (million) 0.25/0.70 % (15189)------------------------------ 0.25/0.70 % (15189)------------------------------ 0.25/0.70 % (15192)Instruction limit reached! 0.25/0.70 % (15192)------------------------------ 0.25/0.70 % (15192)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.70 % (15192)Termination reason: Unknown 0.25/0.70 % (15192)Termination phase: Property scanning 0.25/0.70 0.25/0.70 % (15192)Memory used [KB]: 1535 0.25/0.70 % (15192)Time elapsed: 0.014 s 0.25/0.70 % (15192)Instructions burned: 19 (million) 0.25/0.70 % (15192)------------------------------ 0.25/0.70 % (15192)------------------------------ 0.25/0.70 % (15188)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_15077 for (1799ds/27Mi) 0.25/0.71 % (15193)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_15077 for (1799ds/3Mi) 0.25/0.71 % (15194)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_15077 for (1799ds/37Mi) 0.25/0.71 % (15193)Instruction limit reached! 0.25/0.71 % (15193)------------------------------ 0.25/0.71 % (15193)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.71 % (15193)Termination reason: Unknown 0.25/0.71 % (15193)Termination phase: shuffling 0.25/0.71 0.25/0.71 % (15193)Memory used [KB]: 1279 0.25/0.71 % (15193)Time elapsed: 0.004 s 0.25/0.71 % (15193)Instructions burned: 3 (million) 0.25/0.71 % (15193)------------------------------ 0.25/0.71 % (15193)------------------------------ 0.25/0.72 % (15188)Instruction limit reached! 0.25/0.72 % (15188)------------------------------ 0.25/0.72 % (15188)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.72 % (15188)Termination reason: Unknown 0.25/0.72 % (15188)Termination phase: Preprocessing 2 0.25/0.72 0.25/0.72 % (15188)Memory used [KB]: 1663 0.25/0.72 % (15188)Time elapsed: 0.016 s 0.25/0.72 % (15188)Instructions burned: 29 (million) 0.25/0.72 % (15188)------------------------------ 0.25/0.72 % (15188)------------------------------ 0.25/0.72 % (15196)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_15077 for (1799ds/3Mi) 0.25/0.72 % (15196)Instruction limit reached! 0.25/0.72 % (15196)------------------------------ 0.25/0.72 % (15196)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.72 % (15196)Termination reason: Unknown 0.25/0.72 % (15196)Termination phase: shuffling 0.25/0.72 0.25/0.72 % (15196)Memory used [KB]: 1407 0.25/0.72 % (15196)Time elapsed: 0.005 s 0.25/0.72 % (15196)Instructions burned: 4 (million) 0.25/0.72 % (15196)------------------------------ 0.25/0.72 % (15196)------------------------------ 0.25/0.73 % (15194)Instruction limit reached! 0.25/0.73 % (15194)------------------------------ 0.25/0.73 % (15194)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.73 % (15194)Termination reason: Unknown 0.25/0.73 % (15194)Termination phase: shuffling 0.25/0.73 0.25/0.73 % (15194)Memory used [KB]: 2046 0.25/0.73 % (15194)Time elapsed: 0.018 s 0.25/0.73 % (15194)Instructions burned: 37 (million) 0.25/0.73 % (15194)------------------------------ 0.25/0.73 % (15194)------------------------------ 0.25/0.73 % (15195)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_15077 for (1799ds/15Mi) 0.25/0.73 % (15197)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_15077 for (1799ds/1041Mi) 0.25/0.74 % (15195)Instruction limit reached! 0.25/0.74 % (15195)------------------------------ 0.25/0.74 % (15195)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.74 % (15195)Termination reason: Unknown 0.25/0.74 % (15195)Termination phase: Property scanning 0.25/0.74 0.25/0.74 % (15195)Memory used [KB]: 1535 0.25/0.74 % (15195)Time elapsed: 0.012 s 0.25/0.74 % (15195)Instructions burned: 15 (million) 0.25/0.74 % (15195)------------------------------ 0.25/0.74 % (15195)------------------------------ 0.25/0.74 % (15199)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_15077 for (1799ds/16Mi) 0.25/0.74 % (15198)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_15077 for (1799ds/7Mi) 0.25/0.75 % (15198)Instruction limit reached! 0.25/0.75 % (15198)------------------------------ 0.25/0.75 % (15198)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.75 % (15198)Termination reason: Unknown 0.25/0.75 % (15198)Termination phase: shuffling 0.25/0.75 0.25/0.75 % (15198)Memory used [KB]: 1407 0.25/0.75 % (15198)Time elapsed: 0.006 s 0.25/0.75 % (15198)Instructions burned: 8 (million) 0.25/0.75 % (15198)------------------------------ 0.25/0.75 % (15198)------------------------------ 0.25/0.75 % (15199)Instruction limit reached! 0.25/0.75 % (15199)------------------------------ 0.25/0.75 % (15199)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.75 % (15199)Termination reason: Unknown 0.25/0.75 % (15199)Termination phase: Property scanning 0.25/0.75 0.25/0.75 % (15199)Memory used [KB]: 1535 0.25/0.75 % (15199)Time elapsed: 0.013 s 0.25/0.75 % (15199)Instructions burned: 18 (million) 0.25/0.75 % (15199)------------------------------ 0.25/0.75 % (15199)------------------------------ 0.25/0.76 % (15200)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_15077 for (1799ds/3Mi) 0.25/0.76 % (15200)Instruction limit reached! 0.25/0.76 % (15200)------------------------------ 0.25/0.76 % (15200)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.76 % (15200)Termination reason: Unknown 0.25/0.76 % (15200)Termination phase: shuffling 0.25/0.76 0.25/0.76 % (15200)Memory used [KB]: 1279 0.25/0.76 % (15200)Time elapsed: 0.005 s 0.25/0.76 % (15200)Instructions burned: 4 (million) 0.25/0.76 % (15200)------------------------------ 0.25/0.76 % (15200)------------------------------ 0.25/0.76 % (15202)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_15077 for (1799ds/7Mi) 0.25/0.76 % (15201)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_15077 for (1799ds/3Mi) 0.25/0.76 % (15201)Instruction limit reached! 0.25/0.76 % (15201)------------------------------ 0.25/0.76 % (15201)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.76 % (15201)Termination reason: Unknown 0.25/0.76 % (15201)Termination phase: shuffling 0.25/0.76 0.25/0.76 % (15201)Memory used [KB]: 1279 0.25/0.76 % (15201)Time elapsed: 0.002 s 0.25/0.76 % (15201)Instructions burned: 3 (million) 0.25/0.76 % (15201)------------------------------ 0.25/0.76 % (15201)------------------------------ 0.25/0.76 % (15203)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_15077 for (1799ds/3Mi) 0.25/0.76 % (15202)Instruction limit reached! 0.25/0.76 % (15202)------------------------------ 0.25/0.76 % (15202)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.76 % (15202)Termination reason: Unknown 0.25/0.76 % (15202)Termination phase: shuffling 0.25/0.76 0.25/0.76 % (15202)Memory used [KB]: 1407 0.25/0.76 % (15202)Time elapsed: 0.006 s 0.25/0.76 % (15202)Instructions burned: 8 (million) 0.25/0.76 % (15202)------------------------------ 0.25/0.76 % (15202)------------------------------ 0.25/0.77 % (15203)Instruction limit reached! 0.25/0.77 % (15203)------------------------------ 0.25/0.77 % (15203)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.77 % (15203)Termination reason: Unknown 0.25/0.77 % (15203)Termination phase: shuffling 0.25/0.77 0.25/0.77 % (15203)Memory used [KB]: 1279 0.25/0.77 % (15203)Time elapsed: 0.004 s 0.25/0.77 % (15203)Instructions burned: 3 (million) 0.25/0.77 % (15203)------------------------------ 0.25/0.77 % (15203)------------------------------ 0.25/0.77 % (15206)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_15077 for (1798ds/710Mi) 0.25/0.77 % (15186)Instruction limit reached! 0.25/0.77 % (15186)------------------------------ 0.25/0.77 % (15186)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.77 % (15186)Termination reason: Unknown 0.25/0.77 % (15186)Termination phase: Saturation 0.25/0.77 0.25/0.77 % (15186)Memory used [KB]: 7164 0.25/0.77 % (15186)Time elapsed: 0.081 s 0.25/0.77 % (15186)Instructions burned: 183 (million) 0.25/0.77 % (15186)------------------------------ 0.25/0.77 % (15186)------------------------------ 0.25/0.77 % (15204)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_15077 for (1799ds/4Mi) 0.25/0.78 % (15204)Instruction limit reached! 0.25/0.78 % (15204)------------------------------ 0.25/0.78 % (15204)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.78 % (15204)Termination reason: Unknown 0.25/0.78 % (15204)Termination phase: shuffling 0.25/0.78 0.25/0.78 % (15204)Memory used [KB]: 1407 0.25/0.78 % (15204)Time elapsed: 0.005 s 0.25/0.78 % (15204)Instructions burned: 4 (million) 0.25/0.78 % (15204)------------------------------ 0.25/0.78 % (15204)------------------------------ 0.25/0.78 % (15205)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_15077 for (1799ds/18Mi) 0.25/0.78 % (15207)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_15077 for (1798ds/6Mi) 0.25/0.79 % (15207)Instruction limit reached! 0.25/0.79 % (15207)------------------------------ 0.25/0.79 % (15207)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.79 % (15207)Termination reason: Unknown 0.25/0.79 % (15207)Termination phase: shuffling 0.25/0.79 0.25/0.79 % (15207)Memory used [KB]: 1407 0.25/0.79 % (15207)Time elapsed: 0.004 s 0.25/0.79 % (15207)Instructions burned: 8 (million) 0.25/0.79 % (15207)------------------------------ 0.25/0.79 % (15207)------------------------------ 0.25/0.79 % (15208)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_15077 for (1798ds/902Mi) 0.25/0.79 % (15209)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_15077 for (1798ds/21Mi) 0.25/0.80 % (15210)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_15077 for (1798ds/5Mi) 0.25/0.80 % (15205)Instruction limit reached! 0.25/0.80 % (15205)------------------------------ 0.25/0.80 % (15205)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.80 % (15205)Termination reason: Unknown 0.25/0.80 % (15205)Termination phase: Property scanning 0.25/0.80 0.25/0.80 % (15205)Memory used [KB]: 1535 0.25/0.80 % (15205)Time elapsed: 0.018 s 0.25/0.80 % (15205)Instructions burned: 19 (million) 0.25/0.80 % (15205)------------------------------ 0.25/0.80 % (15205)------------------------------ 0.25/0.80 % (15210)Instruction limit reached! 0.25/0.80 % (15210)------------------------------ 0.25/0.80 % (15210)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.80 % (15210)Termination reason: Unknown 0.25/0.80 % (15210)Termination phase: shuffling 0.25/0.80 0.25/0.80 % (15210)Memory used [KB]: 1407 0.25/0.80 % (15210)Time elapsed: 0.003 s 0.25/0.80 % (15210)Instructions burned: 7 (million) 0.25/0.80 % (15210)------------------------------ 0.25/0.80 % (15210)------------------------------ 0.25/0.80 % (15209)Instruction limit reached! 0.25/0.80 % (15209)------------------------------ 0.25/0.80 % (15209)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.80 % (15209)Termination reason: Unknown 0.25/0.80 % (15209)Termination phase: Property scanning 0.25/0.80 0.25/0.80 % (15209)Memory used [KB]: 1663 0.25/0.80 % (15209)Time elapsed: 0.009 s 0.25/0.80 % (15209)Instructions burned: 21 (million) 0.25/0.80 % (15209)------------------------------ 0.25/0.80 % (15209)------------------------------ 0.25/0.81 % (15213)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_15077 for (1798ds/779Mi) 0.25/0.81 % (15212)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_15077 for (1798ds/377Mi) 0.25/0.82 % (15211)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_15077 for (1798ds/6Mi) 0.25/0.82 % (15211)Instruction limit reached! 0.25/0.82 % (15211)------------------------------ 0.25/0.82 % (15211)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.82 % (15211)Termination reason: Unknown 0.25/0.82 % (15211)Termination phase: shuffling 0.25/0.82 0.25/0.82 % (15211)Memory used [KB]: 1407 0.25/0.82 % (15211)Time elapsed: 0.005 s 0.25/0.82 % (15211)Instructions burned: 9 (million) 0.25/0.82 % (15211)------------------------------ 0.25/0.82 % (15211)------------------------------ 0.25/0.83 % (15197)First to succeed. 0.25/0.83 % (15197)Refutation found. Thanks to Tanya! 0.25/0.83 % SZS status Theorem for E---3.1_15077 0.25/0.83 % SZS output start Proof for E---3.1_15077 0.25/0.83 thf(type_def_5, type, hF_Mirabelle_hf: $tType). 0.25/0.83 thf(type_def_7, type, nat: $tType). 0.25/0.83 thf(type_def_8, type, set_HF_Mirabelle_hf: $tType). 0.25/0.83 thf(func_def_0, type, set_HF_Mirabelle_hf: $tType). 0.25/0.83 thf(func_def_1, type, hF_Mirabelle_hf: $tType). 0.25/0.83 thf(func_def_2, type, nat: $tType). 0.25/0.83 thf(func_def_3, type, minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_4, type, minus_minus_nat: nat > nat > nat). 0.25/0.83 thf(func_def_5, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 0.25/0.83 thf(func_def_6, type, zero_zero_nat: nat). 0.25/0.83 thf(func_def_7, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_8, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_9, type, hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_10, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_11, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_12, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_13, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_14, type, hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_15, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.25/0.83 thf(func_def_16, type, hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_17, type, hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_18, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.25/0.83 thf(func_def_19, type, hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_20, type, hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_21, type, inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_22, type, inf_inf_nat: nat > nat > nat). 0.25/0.83 thf(func_def_23, type, sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.83 thf(func_def_24, type, sup_sup_nat: nat > nat > nat). 0.25/0.83 thf(func_def_25, type, semiri1382578993at_nat: nat > nat). 0.25/0.83 thf(func_def_26, type, ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.25/0.83 thf(func_def_27, type, ord_less_eq_nat: nat > nat > $o). 0.25/0.83 thf(func_def_28, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.25/0.83 thf(func_def_29, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 0.25/0.83 thf(func_def_30, type, x: hF_Mirabelle_hf). 0.25/0.83 thf(func_def_31, type, y: hF_Mirabelle_hf). 0.25/0.83 thf(func_def_51, type, ph1: !>[X0: $tType]:(X0)). 0.25/0.83 thf(f2035,plain,( 0.25/0.83 $false), 0.25/0.83 inference(trivial_inequality_removal,[],[f2032])). 0.25/0.83 thf(f2032,plain,( 0.25/0.83 ($false = $true)), 0.25/0.83 inference(backward_demodulation,[],[f1663,f2030])). 0.25/0.83 thf(f2030,plain,( 0.25/0.83 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X2 @ X1)))) )), 0.25/0.83 inference(not_proxy_clausification,[],[f2029])). 0.25/0.83 thf(f2029,plain,( 0.25/0.83 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X2 @ X1))) = $true)) )), 0.25/0.83 inference(beta_eta_normalization,[],[f2028])). 0.25/0.83 thf(f2028,plain,( 0.25/0.83 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y0 @ X1)))) @ X2) = $true)) )), 0.25/0.83 inference(pi_clausification,[],[f2027])). 0.25/0.83 thf(f2027,plain,( 0.25/0.83 ( ! [X1 : hF_Mirabelle_hf] : (((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y0 @ X1))))) = $true)) )), 0.25/0.83 inference(beta_eta_normalization,[],[f2026])). 0.25/0.83 thf(f2026,plain,( 0.25/0.83 ( ! [X1 : hF_Mirabelle_hf] : (($true = ((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y1 @ Y0)))))) @ X1))) )), 0.25/0.83 inference(pi_clausification,[],[f1537])). 0.25/0.83 thf(f1537,plain,( 0.25/0.83 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y1 @ Y0))))))) = $true)), 0.25/0.83 inference(definition_unfolding,[],[f1271,f1170])). 0.25/0.83 thf(f1170,plain,( 0.25/0.83 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 0.25/0.83 inference(cnf_transformation,[],[f863])). 0.25/0.83 thf(f863,plain,( 0.25/0.83 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 0.25/0.83 inference(fool_elimination,[],[f183])). 0.25/0.83 thf(f183,axiom,( 0.25/0.83 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 0.25/0.83 file('/export/starexec/sandbox2/tmp/tmp.L2lZQC4mia/E---3.1_15077.p',fact_22_Abs__hf__0)). 0.25/0.83 thf(f1271,plain,( 0.25/0.83 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ (zero_z189798548lle_hf = (hF_Mirabelle_hinsert @ Y1 @ Y0))))))) = $true)), 0.25/0.83 inference(cnf_transformation,[],[f497])). 0.25/0.83 thf(f497,plain,( 0.25/0.83 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ (zero_z189798548lle_hf = (hF_Mirabelle_hinsert @ Y1 @ Y0))))))) = $true)), 0.25/0.83 inference(fool_elimination,[],[f496])). 0.25/0.83 thf(f496,plain,( 0.25/0.83 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (zero_z189798548lle_hf != (hF_Mirabelle_hinsert @ X0 @ X1))), 0.25/0.83 inference(rectify,[],[f40])). 0.25/0.83 thf(f40,axiom,( 0.25/0.83 ! [X0 : hF_Mirabelle_hf,X5 : hF_Mirabelle_hf] : (zero_z189798548lle_hf != (hF_Mirabelle_hinsert @ X0 @ X5))), 0.25/0.83 file('/export/starexec/sandbox2/tmp/tmp.L2lZQC4mia/E---3.1_15077.p',fact_18_hinsert__nonempty)). 0.25/0.83 thf(f1663,plain,( 0.25/0.83 ($true = ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))), 0.25/0.83 inference(boolean_simplification,[],[f1662])). 0.25/0.83 thf(f1662,plain,( 0.25/0.83 ($true = (~ (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))))), 0.25/0.83 inference(beta_eta_normalization,[],[f1483])). 0.25/0.83 thf(f1483,plain,( 0.25/0.83 ((~ (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = ((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))) @ x @ y)))) = $true)), 0.25/0.83 inference(definition_unfolding,[],[f1188,f1170,f1365])). 0.25/0.83 thf(f1365,plain,( 0.25/0.83 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))))), 0.25/0.84 inference(definition_unfolding,[],[f1227,f1170,f1170,f1170])). 0.25/0.84 thf(f1227,plain,( 0.25/0.84 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))))), 0.25/0.84 inference(cnf_transformation,[],[f571])). 0.25/0.84 thf(f571,plain,( 0.25/0.84 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))))), 0.25/0.84 inference(fool_elimination,[],[f570])). 0.25/0.84 thf(f570,plain,( 0.25/0.84 ((^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))) = hF_Mirabelle_hpair)), 0.25/0.84 inference(rectify,[],[f29])). 0.25/0.84 thf(f29,axiom,( 0.25/0.84 ((^[X17 : hF_Mirabelle_hf, X18 : hF_Mirabelle_hf] : (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X17 @ zero_z189798548lle_hf) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X17 @ (hF_Mirabelle_hinsert @ X18 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))) = hF_Mirabelle_hpair)), 0.25/0.84 file('/export/starexec/sandbox2/tmp/tmp.L2lZQC4mia/E---3.1_15077.p',fact_13_hpair__def)). 0.25/0.84 thf(f1188,plain,( 0.25/0.84 ((~ (~ (zero_z189798548lle_hf = (hF_Mirabelle_hpair @ x @ y)))) = $true)), 0.25/0.84 inference(cnf_transformation,[],[f700])). 0.25/0.84 thf(f700,plain,( 0.25/0.84 ((~ (~ (zero_z189798548lle_hf = (hF_Mirabelle_hpair @ x @ y)))) = $true)), 0.25/0.84 inference(fool_elimination,[],[f334])). 0.25/0.84 thf(f334,negated_conjecture,( 0.25/0.84 ~(zero_z189798548lle_hf != (hF_Mirabelle_hpair @ x @ y))), 0.25/0.84 inference(negated_conjecture,[],[f333])). 0.25/0.84 thf(f333,conjecture,( 0.25/0.84 (zero_z189798548lle_hf != (hF_Mirabelle_hpair @ x @ y))), 0.25/0.84 file('/export/starexec/sandbox2/tmp/tmp.L2lZQC4mia/E---3.1_15077.p',conj_0)). 0.25/0.84 % SZS output end Proof for E---3.1_15077 0.25/0.84 % (15197)------------------------------ 0.25/0.84 % (15197)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.84 % (15197)Termination reason: Refutation 0.25/0.84 0.25/0.84 % (15197)Memory used [KB]: 7547 0.25/0.84 % (15197)Time elapsed: 0.107 s 0.25/0.84 % (15197)Instructions burned: 267 (million) 0.25/0.84 % (15197)------------------------------ 0.25/0.84 % (15197)------------------------------ 0.25/0.84 % (15185)Success in time 0.174 s 0.25/0.84 EOF