0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n005.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 06:18:19 EDT 2025 0.11/0.33 % CPUTime : 0.19/0.34 This is a THF_ problem 0.19/0.35 Running higher-order theorem proving 0.19/0.35 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.zqDB1ZpXjq/E---3.1_14913.p -m 16384 -t 240 0.19/0.38 % (15152)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/183Mi) 0.19/0.38 % (15154)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_14913 for (2399ds/27Mi) 0.19/0.38 % (15153)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_14913 for (2399ds/4Mi) 0.19/0.38 % (15155)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/2Mi) 0.19/0.38 % (15156)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_14913 for (2399ds/2Mi) 0.19/0.38 % (15158)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/18Mi) 0.19/0.38 % (15157)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_14913 for (2399ds/275Mi) 0.19/0.38 % (15155)Instruction limit reached! 0.19/0.38 % (15155)------------------------------ 0.19/0.38 % (15155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.38 % (15155)Termination reason: Unknown 0.19/0.38 % (15156)Instruction limit reached! 0.19/0.38 % (15156)------------------------------ 0.19/0.38 % (15156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.38 % (15156)Termination reason: Unknown 0.19/0.38 % (15156)Termination phase: Property scanning 0.19/0.38 0.19/0.38 % (15156)Memory used [KB]: 1023 0.19/0.38 % (15156)Time elapsed: 0.004 s 0.19/0.38 % (15156)Instructions burned: 3 (million) 0.19/0.38 % (15156)------------------------------ 0.19/0.38 % (15156)------------------------------ 0.19/0.38 % (15155)Termination phase: shuffling 0.19/0.38 0.19/0.38 % (15155)Memory used [KB]: 1023 0.19/0.38 % (15155)Time elapsed: 0.004 s 0.19/0.38 % (15155)Instructions burned: 3 (million) 0.19/0.38 % (15155)------------------------------ 0.19/0.38 % (15155)------------------------------ 0.19/0.38 % (15153)Instruction limit reached! 0.19/0.38 % (15153)------------------------------ 0.19/0.38 % (15153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.38 % (15153)Termination reason: Unknown 0.19/0.38 % (15153)Termination phase: Property scanning 0.19/0.38 0.19/0.38 % (15153)Memory used [KB]: 1023 0.19/0.38 % (15153)Time elapsed: 0.004 s 0.19/0.38 % (15153)Instructions burned: 5 (million) 0.19/0.38 % (15153)------------------------------ 0.19/0.38 % (15153)------------------------------ 0.19/0.38 % (15157)Refutation not found, incomplete strategy 0.19/0.38 % (15157)------------------------------ 0.19/0.38 % (15157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.38 % (15157)Termination reason: Refutation not found, incomplete strategy 0.19/0.38 0.19/0.38 0.19/0.38 % (15157)Memory used [KB]: 5500 0.19/0.38 % (15157)Time elapsed: 0.003 s 0.19/0.38 % (15157)Instructions burned: 3 (million) 0.19/0.38 % (15157)------------------------------ 0.19/0.38 % (15157)------------------------------ 0.19/0.39 % (15158)Instruction limit reached! 0.19/0.39 % (15158)------------------------------ 0.19/0.39 % (15158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.39 % (15158)Termination reason: Unknown 0.19/0.39 % (15158)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (15158)Memory used [KB]: 5628 0.19/0.39 % (15158)Time elapsed: 0.014 s 0.19/0.39 % (15158)Instructions burned: 19 (million) 0.19/0.39 % (15158)------------------------------ 0.19/0.39 % (15158)------------------------------ 0.19/0.39 % (15154)Instruction limit reached! 0.19/0.39 % (15154)------------------------------ 0.19/0.39 % (15154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.39 % (15154)Termination reason: Unknown 0.19/0.39 % (15154)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (15154)Memory used [KB]: 5628 0.19/0.39 % (15154)Time elapsed: 0.018 s 0.19/0.39 % (15154)Instructions burned: 27 (million) 0.19/0.39 % (15154)------------------------------ 0.19/0.39 % (15154)------------------------------ 0.19/0.40 % (15168)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_14913 for (2399ds/15Mi) 0.19/0.40 % (15167)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_14913 for (2399ds/37Mi) 0.19/0.40 % (15169)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_14913 for (2399ds/3Mi) 0.19/0.40 % (15166)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_14913 for (2399ds/3Mi) 0.19/0.40 % (15169)Instruction limit reached! 0.19/0.40 % (15169)------------------------------ 0.19/0.40 % (15169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.40 % (15169)Termination reason: Unknown 0.19/0.40 % (15169)Termination phase: Property scanning 0.19/0.40 0.19/0.40 % (15169)Memory used [KB]: 1023 0.19/0.40 % (15169)Time elapsed: 0.004 s 0.19/0.40 % (15169)Instructions burned: 3 (million) 0.19/0.40 % (15169)------------------------------ 0.19/0.40 % (15169)------------------------------ 0.19/0.40 % (15166)Instruction limit reached! 0.19/0.40 % (15166)------------------------------ 0.19/0.40 % (15166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.40 % (15166)Termination reason: Unknown 0.19/0.40 % (15166)Termination phase: Clausification 0.19/0.40 0.19/0.40 % (15166)Memory used [KB]: 1023 0.19/0.40 % (15166)Time elapsed: 0.005 s 0.19/0.40 % (15166)Instructions burned: 3 (million) 0.19/0.40 % (15166)------------------------------ 0.19/0.40 % (15166)------------------------------ 0.19/0.40 % (15168)Refutation not found, incomplete strategy 0.19/0.40 % (15168)------------------------------ 0.19/0.40 % (15168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.40 % (15168)Termination reason: Refutation not found, incomplete strategy 0.19/0.40 0.19/0.40 0.19/0.40 % (15168)Memory used [KB]: 5500 0.19/0.40 % (15168)Time elapsed: 0.007 s 0.19/0.40 % (15168)Instructions burned: 7 (million) 0.19/0.40 % (15168)------------------------------ 0.19/0.40 % (15168)------------------------------ 0.19/0.41 % (15173)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_14913 for (2399ds/1041Mi) 0.19/0.41 % (15174)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/7Mi) 0.19/0.41 % (15174)Instruction limit reached! 0.19/0.41 % (15174)------------------------------ 0.19/0.41 % (15174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.41 % (15174)Termination reason: Unknown 0.19/0.41 % (15174)Termination phase: Saturation 0.19/0.41 0.19/0.41 % (15174)Memory used [KB]: 1023 0.19/0.41 % (15174)Time elapsed: 0.006 s 0.19/0.41 % (15174)Instructions burned: 7 (million) 0.19/0.41 % (15174)------------------------------ 0.19/0.41 % (15174)------------------------------ 0.19/0.42 % (15179)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/16Mi) 0.19/0.42 % (15167)Instruction limit reached! 0.19/0.42 % (15167)------------------------------ 0.19/0.42 % (15167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.42 % (15167)Termination reason: Unknown 0.19/0.42 % (15167)Termination phase: Saturation 0.19/0.42 0.19/0.42 % (15167)Memory used [KB]: 5884 0.19/0.42 % (15167)Time elapsed: 0.023 s 0.19/0.42 % (15167)Instructions burned: 38 (million) 0.19/0.42 % (15167)------------------------------ 0.19/0.42 % (15167)------------------------------ 0.19/0.42 % (15180)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_14913 for (2399ds/3Mi) 0.19/0.42 % (15180)Instruction limit reached! 0.19/0.42 % (15180)------------------------------ 0.19/0.42 % (15180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.42 % (15180)Termination reason: Unknown 0.19/0.42 % (15180)Termination phase: Preprocessing 1 0.19/0.42 0.19/0.42 % (15180)Memory used [KB]: 1023 0.19/0.42 % (15180)Time elapsed: 0.003 s 0.19/0.42 % (15180)Instructions burned: 3 (million) 0.19/0.42 % (15180)------------------------------ 0.19/0.42 % (15180)------------------------------ 0.19/0.42 % (15181)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_14913 for (2399ds/3Mi) 0.19/0.42 % (15181)Instruction limit reached! 0.19/0.42 % (15181)------------------------------ 0.19/0.42 % (15181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.42 % (15181)Termination reason: Unknown 0.19/0.42 % (15181)Termination phase: Property scanning 0.19/0.42 0.19/0.42 % (15181)Memory used [KB]: 1023 0.19/0.42 % (15181)Time elapsed: 0.004 s 0.19/0.42 % (15181)Instructions burned: 4 (million) 0.19/0.42 % (15181)------------------------------ 0.19/0.42 % (15181)------------------------------ 0.21/0.43 % (15179)Instruction limit reached! 0.21/0.43 % (15179)------------------------------ 0.21/0.43 % (15179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.43 % (15179)Termination reason: Unknown 0.21/0.43 % (15179)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (15179)Memory used [KB]: 5628 0.21/0.43 % (15179)Time elapsed: 0.012 s 0.21/0.43 % (15179)Instructions burned: 17 (million) 0.21/0.43 % (15179)------------------------------ 0.21/0.43 % (15179)------------------------------ 0.21/0.43 % (15186)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_14913 for (2399ds/7Mi) 0.21/0.44 % (15186)Instruction limit reached! 0.21/0.44 % (15186)------------------------------ 0.21/0.44 % (15186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.44 % (15186)Termination reason: Unknown 0.21/0.44 % (15186)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (15186)Memory used [KB]: 5500 0.21/0.44 % (15186)Time elapsed: 0.006 s 0.21/0.44 % (15186)Instructions burned: 7 (million) 0.21/0.44 % (15186)------------------------------ 0.21/0.44 % (15186)------------------------------ 0.21/0.44 % (15190)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_14913 for (2399ds/3Mi) 0.21/0.44 % (15190)Instruction limit reached! 0.21/0.44 % (15190)------------------------------ 0.21/0.44 % (15190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.44 % (15190)Termination reason: Unknown 0.21/0.44 % (15190)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (15190)Memory used [KB]: 1023 0.21/0.44 % (15190)Time elapsed: 0.004 s 0.21/0.44 % (15190)Instructions burned: 3 (million) 0.21/0.44 % (15190)------------------------------ 0.21/0.44 % (15190)------------------------------ 0.21/0.44 % (15191)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/4Mi) 0.21/0.44 % (15191)Instruction limit reached! 0.21/0.44 % (15191)------------------------------ 0.21/0.44 % (15191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.44 % (15191)Termination reason: Unknown 0.21/0.44 % (15191)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (15191)Memory used [KB]: 5500 0.21/0.44 % (15191)Time elapsed: 0.005 s 0.21/0.44 % (15191)Instructions burned: 5 (million) 0.21/0.44 % (15191)------------------------------ 0.21/0.44 % (15191)------------------------------ 0.21/0.44 % (15192)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_14913 for (2399ds/18Mi) 0.21/0.45 % (15194)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/710Mi) 0.21/0.45 % (15194)Refutation not found, incomplete strategy 0.21/0.45 % (15194)------------------------------ 0.21/0.45 % (15194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (15194)Termination reason: Refutation not found, incomplete strategy 0.21/0.45 0.21/0.45 0.21/0.45 % (15194)Memory used [KB]: 5500 0.21/0.45 % (15194)Time elapsed: 0.004 s 0.21/0.45 % (15194)Instructions burned: 3 (million) 0.21/0.45 % (15194)------------------------------ 0.21/0.45 % (15194)------------------------------ 0.21/0.45 % (15197)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/6Mi) 0.21/0.45 % (15192)Instruction limit reached! 0.21/0.45 % (15192)------------------------------ 0.21/0.45 % (15192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (15192)Termination reason: Unknown 0.21/0.45 % (15192)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (15192)Memory used [KB]: 5628 0.21/0.45 % (15192)Time elapsed: 0.014 s 0.21/0.45 % (15192)Instructions burned: 19 (million) 0.21/0.45 % (15192)------------------------------ 0.21/0.45 % (15192)------------------------------ 0.21/0.46 % (15199)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_14913 for (2399ds/902Mi) 0.21/0.46 % (15197)Instruction limit reached! 0.21/0.46 % (15197)------------------------------ 0.21/0.46 % (15197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (15197)Termination reason: Unknown 0.21/0.46 % (15197)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (15197)Memory used [KB]: 5500 0.21/0.46 % (15197)Time elapsed: 0.006 s 0.21/0.46 % (15197)Instructions burned: 7 (million) 0.21/0.46 % (15197)------------------------------ 0.21/0.46 % (15197)------------------------------ 0.21/0.46 % (15199)Refutation not found, incomplete strategy 0.21/0.46 % (15199)------------------------------ 0.21/0.46 % (15199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (15199)Termination reason: Refutation not found, incomplete strategy 0.21/0.46 0.21/0.46 0.21/0.46 % (15199)Memory used [KB]: 5500 0.21/0.46 % (15199)Time elapsed: 0.005 s 0.21/0.46 % (15199)Instructions burned: 4 (million) 0.21/0.46 % (15199)------------------------------ 0.21/0.46 % (15199)------------------------------ 0.21/0.46 % (15201)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_14913 for (2399ds/21Mi) 0.21/0.47 % (15203)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/5Mi) 0.21/0.47 % (15203)Instruction limit reached! 0.21/0.47 % (15203)------------------------------ 0.21/0.47 % (15203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (15203)Termination reason: Unknown 0.21/0.47 % (15203)Termination phase: Property scanning 0.21/0.47 0.21/0.47 % (15203)Memory used [KB]: 1023 0.21/0.47 % (15203)Time elapsed: 0.004 s 0.21/0.47 % (15203)Instructions burned: 5 (million) 0.21/0.47 % (15203)------------------------------ 0.21/0.47 % (15203)------------------------------ 0.21/0.47 % (15152)Instruction limit reached! 0.21/0.47 % (15152)------------------------------ 0.21/0.47 % (15152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (15152)Termination reason: Unknown 0.21/0.47 % (15152)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (15152)Memory used [KB]: 7931 0.21/0.47 % (15152)Time elapsed: 0.095 s 0.21/0.47 % (15152)Instructions burned: 183 (million) 0.21/0.47 % (15152)------------------------------ 0.21/0.47 % (15152)------------------------------ 0.21/0.47 % (15205)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_14913 for (2399ds/377Mi) 0.21/0.47 % (15204)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_14913 for (2399ds/6Mi) 0.21/0.47 % (15201)Instruction limit reached! 0.21/0.47 % (15201)------------------------------ 0.21/0.47 % (15201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (15201)Termination reason: Unknown 0.21/0.47 % (15201)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (15201)Memory used [KB]: 5628 0.21/0.47 % (15201)Time elapsed: 0.016 s 0.21/0.47 % (15201)Instructions burned: 21 (million) 0.21/0.47 % (15201)------------------------------ 0.21/0.47 % (15201)------------------------------ 0.21/0.48 % (15204)Refutation not found, incomplete strategy 0.21/0.48 % (15204)------------------------------ 0.21/0.48 % (15204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.48 % (15204)Termination reason: Refutation not found, incomplete strategy 0.21/0.48 0.21/0.48 0.21/0.48 % (15204)Memory used [KB]: 5500 0.21/0.48 % (15204)Time elapsed: 0.005 s 0.21/0.48 % (15204)Instructions burned: 5 (million) 0.21/0.48 % (15204)------------------------------ 0.21/0.48 % (15204)------------------------------ 0.21/0.48 % (15206)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_14913 for (2399ds/779Mi) 0.21/0.48 % (15208)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_14913 for (2399ds/879Mi) 0.21/0.48 % (15207)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_14913 for (2399ds/19Mi) 0.21/0.49 % (15207)Refutation not found, incomplete strategy 0.21/0.49 % (15207)------------------------------ 0.21/0.49 % (15207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.49 % (15207)Termination reason: Refutation not found, incomplete strategy 0.21/0.49 0.21/0.49 0.21/0.49 % (15207)Memory used [KB]: 5500 0.21/0.49 % (15207)Time elapsed: 0.004 s 0.21/0.49 % (15207)Instructions burned: 7 (million) 0.21/0.49 % (15207)------------------------------ 0.21/0.49 % (15207)------------------------------ 0.21/0.49 % (15209)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_14913 for (2398ds/17Mi) 0.21/0.49 % (15206)First to succeed. 0.21/0.49 % (15210)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_14913 for (2398ds/3Mi) 0.21/0.49 % (15206)Refutation found. Thanks to Tanya! 0.21/0.49 % SZS status Theorem for E---3.1_14913 0.21/0.49 % SZS output start Proof for E---3.1_14913 0.21/0.49 thf(type_def_5, type, qML_mu: $tType). 0.21/0.49 thf(type_def_6, type, qML_i: $tType). 0.21/0.49 thf(func_def_0, type, qML_mu: $tType). 0.21/0.49 thf(func_def_1, type, qML_i: $tType). 0.21/0.49 thf(func_def_2, type, scott_G: qML_mu > qML_i > $o). 0.21/0.49 thf(func_def_3, type, scott_NE_QML_mu: qML_mu > qML_i > $o). 0.21/0.49 thf(func_def_4, type, scott_P: (qML_mu > qML_i > $o) > qML_i > $o). 0.21/0.49 thf(func_def_5, type, scott_ess_QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o). 0.21/0.49 thf(func_def_23, type, sK1: qML_i > qML_mu > qML_mu > qML_i > $o). 0.21/0.49 thf(func_def_24, type, sK2: qML_i > qML_mu). 0.21/0.49 thf(func_def_25, type, sK3: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu). 0.21/0.49 thf(func_def_26, type, sK4: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i). 0.21/0.49 thf(func_def_27, type, sK5: qML_i). 0.21/0.49 thf(func_def_28, type, sK6: qML_i > $o). 0.21/0.49 thf(func_def_29, type, sK7: qML_i). 0.21/0.49 thf(func_def_30, type, ph8: !>[X0: $tType]:(X0)). 0.21/0.49 thf(f314,plain,( 0.21/0.49 $false), 0.21/0.49 inference(avatar_sat_refutation,[status(thm)],[f195,f198,f310])). 0.21/0.49 thf(f310,plain,( 0.21/0.49 ~spl0_1), 0.21/0.49 inference(avatar_contradiction_clause,[status(thm)],[f309])). 0.21/0.49 thf(f309,plain,( 0.21/0.49 $false | ~spl0_1), 0.21/0.49 inference(trivial_inequality_removal,[status(thm)],[f305])). 0.21/0.49 thf(f305,plain,( 0.21/0.49 ($true = $false) | ~spl0_1), 0.21/0.49 inference(backward_demodulation,[status(thm)],[f153,f293])). 0.21/0.49 thf(f293,plain,( 0.21/0.49 ( ! [X0 : qML_i] : (($false = (sK6 @ X0))) ) | ~spl0_1), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f292])). 0.21/0.49 thf(f292,plain,( 0.21/0.49 ( ! [X0 : qML_i] : (($false = ((^[Y0 : qML_mu]: (sK6)) @ (sK2 @ X0) @ X0))) ) | ~spl0_1), 0.21/0.49 inference(trivial_inequality_removal,[status(thm)],[f276])). 0.21/0.49 thf(f276,plain,( 0.21/0.49 ( ! [X0 : qML_i] : (($true = $false) | ($false = ((^[Y0 : qML_mu]: (sK6)) @ (sK2 @ X0) @ X0))) ) | ~spl0_1), 0.21/0.49 inference(superposition,[status(thm)],[f270,f190])). 0.21/0.49 thf(f190,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($false = (scott_P @ (^[Y0 : qML_mu]: (sK6)) @ X1))) ) | ~spl0_1), 0.21/0.49 inference(avatar_component_clause,[status(thm)],[f189])). 0.21/0.49 thf(f189,definition,( 0.21/0.49 spl0_1 <=> ! [X1 : qML_i] : ($false = (scott_P @ (^[Y0 : qML_mu]: (sK6)) @ X1))), 0.21/0.49 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 0.21/0.49 thf(f270,plain,( 0.21/0.49 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (scott_P @ X0 @ X1)) | ((X0 @ (sK2 @ X1) @ X1) = $false)) )), 0.21/0.49 inference(not_proxy_clausification,[status(thm)],[f265])). 0.21/0.49 thf(f265,plain,( 0.21/0.49 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (scott_P @ X0 @ X1)) | ($true = (~ (X0 @ (sK2 @ X1) @ X1)))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f264])). 0.21/0.49 thf(f264,plain,( 0.21/0.49 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ (sK2 @ X1) @ X1)) | ($true = (scott_P @ X0 @ X1))) )), 0.21/0.49 inference(trivial_inequality_removal,[status(thm)],[f253])). 0.21/0.49 thf(f253,plain,( 0.21/0.49 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = $false) | ($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ (sK2 @ X1) @ X1)) | ($true = (scott_P @ X0 @ X1))) )), 0.21/0.49 inference(superposition,[status(thm)],[f130,f123])). 0.21/0.49 thf(f123,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((scott_P @ X2 @ X1) = $false) | ((X2 @ (sK2 @ X1) @ X1) = $true)) )), 0.21/0.49 inference(binary_proxy_clausification,[status(thm)],[f122])). 0.21/0.49 thf(f122,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((scott_P @ X2 @ X1) => (X2 @ (sK2 @ X1) @ X1)))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f121])). 0.21/0.49 thf(f121,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ X1) => (Y0 @ (sK2 @ X1) @ X1))) @ X2))) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f120])). 0.21/0.49 thf(f120,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ X1) => (Y0 @ (sK2 @ X1) @ X1)))))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f119])). 0.21/0.49 thf(f119,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = ((^[Y0 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ X1) => (Y1 @ Y0 @ X1))))) @ (sK2 @ X1)))) )), 0.21/0.49 inference(sigma_clausification,[status(thm)],[f118])). 0.21/0.49 thf(f118,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = (?? @ qML_mu @ (^[Y0 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ X1) => (Y1 @ Y0 @ X1)))))))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f117])). 0.21/0.49 thf(f117,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = ((^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))) @ X1))) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f59])). 0.21/0.49 thf(f59,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f54])). 0.21/0.49 thf(f54,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y1 @ Y0))))))), 0.21/0.49 inference(definition_unfolding,[status(thm)],[f45,f39])). 0.21/0.49 thf(f39,plain,( 0.21/0.49 (scott_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))), 0.21/0.49 inference(cnf_transformation,[status(thm)],[f38])). 0.21/0.49 thf(f38,plain,( 0.21/0.49 (scott_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))), 0.21/0.49 inference(fool_elimination,[status(thm)],[f37])). 0.21/0.49 thf(f37,plain,( 0.21/0.49 ((^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((scott_P @ X2 @ X1) => (X2 @ X0 @ X1)))) = scott_G)), 0.21/0.49 inference(rectify,[status(thm)],[f1])). 0.21/0.49 thf(f1,axiom,( 0.21/0.49 ((^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((scott_P @ X2 @ X1) => (X2 @ X0 @ X1)))) = scott_G)), 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.zqDB1ZpXjq/E---3.1_14913.p',fact_0_G__def)). 0.21/0.49 thf(f45,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (scott_G @ Y1 @ Y0))))))), 0.21/0.49 inference(cnf_transformation,[status(thm)],[f20])). 0.21/0.49 thf(f20,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (scott_G @ Y1 @ Y0))))))), 0.21/0.49 inference(fool_elimination,[status(thm)],[f19])). 0.21/0.49 thf(f19,plain,( 0.21/0.49 ! [X1 : qML_i] : ? [X2 : qML_mu] : (scott_G @ X2 @ X1)), 0.21/0.49 inference(rectify,[status(thm)],[f10])). 0.21/0.49 thf(f10,axiom,( 0.21/0.49 ! [X3 : qML_i,X13 : qML_i] : ? [X7 : qML_mu] : (scott_G @ X7 @ X13)), 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.zqDB1ZpXjq/E---3.1_14913.p',fact_2_T3)). 0.21/0.49 thf(f130,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X2 @ Y0 @ Y1))))) @ X1) = $true) | ((scott_P @ X2 @ X1) = $true)) )), 0.21/0.49 inference(not_proxy_clausification,[status(thm)],[f129])). 0.21/0.49 thf(f129,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X2 @ Y0 @ Y1))))) @ X1) = $true) | ((~ (scott_P @ X2 @ X1)) = $false)) )), 0.21/0.49 inference(binary_proxy_clausification,[status(thm)],[f128])). 0.21/0.49 thf(f128,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((~ (scott_P @ X2 @ X1)) => (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X2 @ Y0 @ Y1))))) @ X1)))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f127])). 0.21/0.49 thf(f127,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((^[Y0 : qML_mu > qML_i > $o]: ((~ (scott_P @ Y0 @ X1)) => (scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (~ (Y0 @ Y1 @ Y2))))) @ X1))) @ X2))) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f126])). 0.21/0.49 thf(f126,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((~ (scott_P @ Y0 @ X1)) => (scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (~ (Y0 @ Y1 @ Y2))))) @ X1)))))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f125])). 0.21/0.49 thf(f125,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = ((^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((~ (scott_P @ Y1 @ Y0)) => (scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y1 @ Y2 @ Y3))))) @ Y0))))) @ X1))) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f44])). 0.21/0.49 thf(f44,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((~ (scott_P @ Y1 @ Y0)) => (scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y1 @ Y2 @ Y3))))) @ Y0)))))))), 0.21/0.49 inference(cnf_transformation,[status(thm)],[f18])). 0.21/0.49 thf(f18,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((~ (scott_P @ Y1 @ Y0)) => (scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y1 @ Y2 @ Y3))))) @ Y0)))))))), 0.21/0.49 inference(fool_elimination,[status(thm)],[f17])). 0.21/0.49 thf(f17,plain,( 0.21/0.49 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (~(scott_P @ X0 @ X1) => (scott_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X0 @ X2 @ X3))) @ X1))), 0.21/0.49 inference(rectify,[status(thm)],[f11])). 0.21/0.49 thf(f11,axiom,( 0.21/0.49 ! [X4 : qML_mu > qML_i > $o,X3 : qML_i] : (~(scott_P @ X4 @ X3) => (scott_P @ (^[X2 : qML_mu, X5 : qML_i] : (~(X4 @ X2 @ X5))) @ X3))), 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.zqDB1ZpXjq/E---3.1_14913.p',fact_6_A1b)). 0.21/0.49 thf(f153,plain,( 0.21/0.49 ($true = (sK6 @ sK5))), 0.21/0.49 inference(not_proxy_clausification,[status(thm)],[f151])). 0.21/0.49 thf(f151,plain,( 0.21/0.49 ($false = (~ (sK6 @ sK5)))), 0.21/0.49 inference(binary_proxy_clausification,[status(thm)],[f150])). 0.21/0.49 thf(f150,plain,( 0.21/0.49 ($false = ((!! @ qML_i @ sK6) | (~ (sK6 @ sK5))))), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f149])). 0.21/0.49 thf(f149,plain,( 0.21/0.49 ($false = ((^[Y0 : qML_i > $o]: ((!! @ qML_i @ Y0) | (~ (Y0 @ sK5)))) @ sK6))), 0.21/0.49 inference(sigma_clausification,[status(thm)],[f148])). 0.21/0.49 thf(f148,plain,( 0.21/0.49 ((!! @ (qML_i > $o) @ (^[Y0 : qML_i > $o]: ((!! @ qML_i @ Y0) | (~ (Y0 @ sK5))))) = $false)), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f147])). 0.21/0.49 thf(f147,plain,( 0.21/0.49 (((^[Y0 : qML_i]: (!! @ (qML_i > $o) @ (^[Y1 : qML_i > $o]: ((!! @ qML_i @ Y1) | (~ (Y1 @ Y0)))))) @ sK5) = $false)), 0.21/0.49 inference(sigma_clausification,[status(thm)],[f146])). 0.21/0.49 thf(f146,plain,( 0.21/0.49 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_i > $o) @ (^[Y1 : qML_i > $o]: ((!! @ qML_i @ Y1) | (~ (Y1 @ Y0))))))) = $false)), 0.21/0.49 inference(not_proxy_clausification,[status(thm)],[f56])). 0.21/0.49 thf(f56,plain,( 0.21/0.49 ($true = (~ (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_i > $o) @ (^[Y1 : qML_i > $o]: ((!! @ qML_i @ Y1) | (~ (Y1 @ Y0)))))))))), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f41])). 0.21/0.49 thf(f41,plain,( 0.21/0.49 ($true = (~ (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_i > $o) @ (^[Y1 : qML_i > $o]: ((!! @ qML_i @ (^[Y2 : qML_i]: (Y1 @ Y2))) | (~ (Y1 @ Y0)))))))))), 0.21/0.49 inference(cnf_transformation,[status(thm)],[f16])). 0.21/0.49 thf(f16,plain,( 0.21/0.49 ($true = (~ (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_i > $o) @ (^[Y1 : qML_i > $o]: ((!! @ qML_i @ (^[Y2 : qML_i]: (Y1 @ Y2))) | (~ (Y1 @ Y0)))))))))), 0.21/0.49 inference(fool_elimination,[status(thm)],[f15])). 0.21/0.49 thf(f15,plain,( 0.21/0.49 ~! [X0 : qML_i > $o,X1 : qML_i] : (~(X0 @ X1) | ! [X2 : qML_i] : (X0 @ X2))), 0.21/0.49 inference(rectify,[status(thm)],[f4])). 0.21/0.49 thf(f4,negated_conjecture,( 0.21/0.49 ~! [X7 : qML_i > $o,X6 : qML_i] : (~(X7 @ X6) | ! [X8 : qML_i] : (X7 @ X8))), 0.21/0.49 inference(negated_conjecture,[status(cth)],[f3])). 0.21/0.49 thf(f3,conjecture,( 0.21/0.49 ! [X7 : qML_i > $o,X6 : qML_i] : (~(X7 @ X6) | ! [X8 : qML_i] : (X7 @ X8))), 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.zqDB1ZpXjq/E---3.1_14913.p',conj_0)). 0.21/0.49 thf(f198,plain,( 0.21/0.49 ~spl0_2), 0.21/0.49 inference(avatar_contradiction_clause,[status(thm)],[f197])). 0.21/0.49 thf(f197,plain,( 0.21/0.49 $false | ~spl0_2), 0.21/0.49 inference(equality_resolution,[status(thm)],[f193])). 0.21/0.49 thf(f193,plain,( 0.21/0.49 ( ! [X0 : qML_i] : ((sK7 != X0)) ) | ~spl0_2), 0.21/0.49 inference(avatar_component_clause,[status(thm)],[f192])). 0.21/0.49 thf(f192,definition,( 0.21/0.49 spl0_2 <=> ! [X0 : qML_i] : (sK7 != X0)), 0.21/0.49 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.21/0.49 thf(f195,plain,( 0.21/0.49 spl0_1 | spl0_2), 0.21/0.49 inference(avatar_split_clause,[status(thm)],[f182,f192,f189])). 0.21/0.49 thf(f182,plain,( 0.21/0.49 ( ! [X0 : qML_i,X1 : qML_i] : (($false = (scott_P @ (^[Y0 : qML_mu]: (sK6)) @ X1)) | (sK7 != X0)) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f181])). 0.21/0.49 thf(f181,plain,( 0.21/0.49 ( ! [X0 : qML_i,X1 : qML_i] : ((sK7 != X0) | ($false = (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (sK6 @ ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (Y3)))) @ Y0 @ Y1))))) @ X1))) )), 0.21/0.49 inference(trivial_inequality_removal,[status(thm)],[f169])). 0.21/0.49 thf(f169,plain,( 0.21/0.49 ( ! [X0 : qML_i,X1 : qML_i] : ((sK7 != X0) | ($false = (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (sK6 @ ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (Y3)))) @ Y0 @ Y1))))) @ X1)) | ($true = $false)) )), 0.21/0.49 inference(constrained_superposition,[status(thm)],[f165,f154])). 0.21/0.49 thf(f154,plain,( 0.21/0.49 ((sK6 @ sK7) = $false)), 0.21/0.49 inference(sigma_clausification,[status(thm)],[f152])). 0.21/0.49 thf(f152,plain,( 0.21/0.49 ($false = (!! @ qML_i @ sK6))), 0.21/0.49 inference(binary_proxy_clausification,[status(thm)],[f150])). 0.21/0.49 thf(f165,plain,( 0.21/0.49 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (X0 @ (sK2 @ X1) @ X1)) | ($false = (scott_P @ X0 @ X2))) )), 0.21/0.49 inference(trivial_inequality_removal,[status(thm)],[f162])). 0.21/0.49 thf(f162,plain,( 0.21/0.49 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = $false) | ($true = (X0 @ (sK2 @ X1) @ X1)) | ($false = (scott_P @ X0 @ X2))) )), 0.21/0.49 inference(superposition,[status(thm)],[f116,f123])). 0.21/0.49 thf(f116,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X3 : qML_i,X1 : qML_i] : (($true = (scott_P @ X2 @ X3)) | ((scott_P @ X2 @ X1) = $false)) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f115])). 0.21/0.49 thf(f115,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((scott_P @ X2 @ X1) = $false) | ($true = (!! @ qML_i @ (scott_P @ X2)))) )), 0.21/0.49 inference(binary_proxy_clausification,[status(thm)],[f114])). 0.21/0.49 thf(f114,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((scott_P @ X2 @ X1) => (!! @ qML_i @ (scott_P @ X2))))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f113])). 0.21/0.49 thf(f113,plain,( 0.21/0.49 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ X1) => (!! @ qML_i @ (scott_P @ Y0)))) @ X2))) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f112])). 0.21/0.49 thf(f112,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ X1) => (!! @ qML_i @ (scott_P @ Y0))))))) )), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f111])). 0.21/0.49 thf(f111,plain,( 0.21/0.49 ( ! [X1 : qML_i] : (($true = ((^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (scott_P @ Y1)))))) @ X1))) )), 0.21/0.49 inference(pi_clausification,[status(thm)],[f60])). 0.21/0.49 thf(f60,plain,( 0.21/0.49 ($true = (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (scott_P @ Y1))))))))), 0.21/0.49 inference(beta_eta_normalization,[status(thm)],[f42])). 0.21/0.49 thf(f42,plain,( 0.21/0.49 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (^[Y2 : qML_i]: (scott_P @ Y1 @ Y2)))))))) = $true)), 0.21/0.49 inference(cnf_transformation,[status(thm)],[f36])). 0.21/0.49 thf(f36,plain,( 0.21/0.49 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (^[Y2 : qML_i]: (scott_P @ Y1 @ Y2)))))))) = $true)), 0.21/0.49 inference(fool_elimination,[status(thm)],[f35])). 0.21/0.49 thf(f35,plain,( 0.21/0.49 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : ((scott_P @ X0 @ X1) => ! [X2 : qML_i] : (scott_P @ X0 @ X2))), 0.21/0.49 inference(rectify,[status(thm)],[f13])). 0.21/0.49 thf(f13,axiom,( 0.21/0.49 ! [X4 : qML_mu > qML_i > $o,X3 : qML_i] : ((scott_P @ X4 @ X3) => ! [X9 : qML_i] : (scott_P @ X4 @ X9))), 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.zqDB1ZpXjq/E---3.1_14913.p',fact_1_A4)). 0.21/0.49 % SZS output end Proof for E---3.1_14913 0.21/0.49 % (15206)------------------------------ 0.21/0.49 % (15206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.49 % (15206)Termination reason: Refutation 0.21/0.49 0.21/0.49 % (15206)Memory used [KB]: 5756 0.21/0.49 % (15206)Time elapsed: 0.019 s 0.21/0.49 % (15206)Instructions burned: 42 (million) 0.21/0.49 % (15206)------------------------------ 0.21/0.49 % (15206)------------------------------ 0.21/0.49 % (15149)Success in time 0.12 s 0.21/0.50 EOF