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 : n017.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 09:26:34 EDT 2025 0.11/0.32 % CPUTime : 0.11/0.33 This is a THF_ problem 0.11/0.33 Running higher-order theorem proving 0.17/0.40 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.UVoBwuPx4N/E---3.1_23640.p -m 16384 -t 240 0.25/0.46 % (23749)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_23640 for (2399ds/4Mi) 0.25/0.46 % (23753)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_23640 for (2399ds/275Mi) 0.25/0.46 % (23750)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_23640 for (2399ds/27Mi) 0.25/0.46 % (23748)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_23640 for (2399ds/183Mi) 0.25/0.46 % (23754)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_23640 for (2399ds/18Mi) 0.25/0.46 % (23751)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_23640 for (2399ds/2Mi) 0.25/0.46 % (23752)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_23640 for (2399ds/2Mi) 0.25/0.46 % (23752)Instruction limit reached! 0.25/0.46 % (23752)------------------------------ 0.25/0.46 % (23752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.46 % (23752)Termination reason: Unknown 0.25/0.46 % (23752)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (23752)Memory used [KB]: 1535 0.25/0.46 % (23752)Time elapsed: 0.003 s 0.25/0.46 % (23752)Instructions burned: 2 (million) 0.25/0.46 % (23752)------------------------------ 0.25/0.46 % (23752)------------------------------ 0.25/0.46 % (23749)Instruction limit reached! 0.25/0.46 % (23749)------------------------------ 0.25/0.46 % (23749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.46 % (23749)Termination reason: Unknown 0.25/0.46 % (23749)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (23749)Memory used [KB]: 1663 0.25/0.46 % (23749)Time elapsed: 0.005 s 0.25/0.46 % (23749)Instructions burned: 5 (million) 0.25/0.46 % (23749)------------------------------ 0.25/0.46 % (23749)------------------------------ 0.25/0.46 % (23751)Instruction limit reached! 0.25/0.46 % (23751)------------------------------ 0.25/0.46 % (23751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.46 % (23751)Termination reason: Unknown 0.25/0.46 % (23751)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (23751)Memory used [KB]: 1663 0.25/0.46 % (23751)Time elapsed: 0.004 s 0.25/0.46 % (23751)Instructions burned: 3 (million) 0.25/0.46 % (23751)------------------------------ 0.25/0.46 % (23751)------------------------------ 0.25/0.47 % (23754)Instruction limit reached! 0.25/0.47 % (23754)------------------------------ 0.25/0.47 % (23754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.47 % (23754)Termination reason: Unknown 0.25/0.47 % (23754)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (23754)Memory used [KB]: 1918 0.25/0.47 % (23754)Time elapsed: 0.011 s 0.25/0.47 % (23754)Instructions burned: 18 (million) 0.25/0.47 % (23754)------------------------------ 0.25/0.47 % (23754)------------------------------ 0.25/0.47 % (23750)Instruction limit reached! 0.25/0.47 % (23750)------------------------------ 0.25/0.47 % (23750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.47 % (23750)Termination reason: Unknown 0.25/0.47 % (23750)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (23750)Memory used [KB]: 2046 0.25/0.47 % (23750)Time elapsed: 0.016 s 0.25/0.47 % (23750)Instructions burned: 27 (million) 0.25/0.47 % (23750)------------------------------ 0.25/0.47 % (23750)------------------------------ 0.25/0.47 % (23756)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_23640 for (2399ds/37Mi) 0.25/0.47 % (23755)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_23640 for (2399ds/3Mi) 0.25/0.47 % (23757)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_23640 for (2399ds/15Mi) 0.25/0.48 % (23755)Instruction limit reached! 0.25/0.48 % (23755)------------------------------ 0.25/0.48 % (23755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.48 % (23755)Termination reason: Unknown 0.25/0.48 % (23755)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (23755)Memory used [KB]: 1663 0.25/0.48 % (23755)Time elapsed: 0.004 s 0.25/0.48 % (23755)Instructions burned: 4 (million) 0.25/0.48 % (23755)------------------------------ 0.25/0.48 % (23755)------------------------------ 0.25/0.48 % (23758)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_23640 for (2399ds/3Mi) 0.25/0.48 % (23757)Instruction limit reached! 0.25/0.48 % (23757)------------------------------ 0.25/0.48 % (23757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.48 % (23757)Termination reason: Unknown 0.25/0.48 % (23757)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (23757)Memory used [KB]: 1918 0.25/0.48 % (23757)Time elapsed: 0.010 s 0.25/0.48 % (23757)Instructions burned: 16 (million) 0.25/0.48 % (23757)------------------------------ 0.25/0.48 % (23757)------------------------------ 0.25/0.48 % (23758)Instruction limit reached! 0.25/0.48 % (23758)------------------------------ 0.25/0.48 % (23758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.48 % (23758)Termination reason: Unknown 0.25/0.48 % (23758)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (23758)Memory used [KB]: 1663 0.25/0.48 % (23758)Time elapsed: 0.004 s 0.25/0.48 % (23758)Instructions burned: 3 (million) 0.25/0.48 % (23758)------------------------------ 0.25/0.48 % (23758)------------------------------ 0.25/0.49 % (23759)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_23640 for (2399ds/1041Mi) 0.25/0.49 % (23756)Instruction limit reached! 0.25/0.49 % (23756)------------------------------ 0.25/0.49 % (23756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.49 % (23756)Termination reason: Unknown 0.25/0.49 % (23756)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (23756)Memory used [KB]: 2302 0.25/0.49 % (23756)Time elapsed: 0.019 s 0.25/0.49 % (23756)Instructions burned: 38 (million) 0.25/0.49 % (23756)------------------------------ 0.25/0.49 % (23756)------------------------------ 0.25/0.49 % (23760)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_23640 for (2399ds/7Mi) 0.25/0.50 % (23760)Instruction limit reached! 0.25/0.50 % (23760)------------------------------ 0.25/0.50 % (23760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.50 % (23760)Termination reason: Unknown 0.25/0.50 % (23760)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (23760)Memory used [KB]: 1791 0.25/0.50 % (23760)Time elapsed: 0.006 s 0.25/0.50 % (23760)Instructions burned: 7 (million) 0.25/0.50 % (23760)------------------------------ 0.25/0.50 % (23760)------------------------------ 0.25/0.50 % (23761)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_23640 for (2399ds/16Mi) 0.25/0.50 % (23762)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_23640 for (2399ds/3Mi) 0.25/0.50 % (23762)Instruction limit reached! 0.25/0.50 % (23762)------------------------------ 0.25/0.50 % (23762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.50 % (23762)Termination reason: Unknown 0.25/0.50 % (23762)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (23762)Memory used [KB]: 1663 0.25/0.50 % (23762)Time elapsed: 0.004 s 0.25/0.50 % (23762)Instructions burned: 5 (million) 0.25/0.50 % (23762)------------------------------ 0.25/0.50 % (23762)------------------------------ 0.25/0.51 % (23763)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_23640 for (2399ds/3Mi) 0.25/0.51 % (23761)Instruction limit reached! 0.25/0.51 % (23761)------------------------------ 0.25/0.51 % (23761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (23761)Termination reason: Unknown 0.25/0.51 % (23761)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (23761)Memory used [KB]: 1918 0.25/0.51 % (23761)Time elapsed: 0.010 s 0.25/0.51 % (23761)Instructions burned: 16 (million) 0.25/0.51 % (23761)------------------------------ 0.25/0.51 % (23761)------------------------------ 0.25/0.51 % (23763)Instruction limit reached! 0.25/0.51 % (23763)------------------------------ 0.25/0.51 % (23763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (23763)Termination reason: Unknown 0.25/0.51 % (23763)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (23763)Memory used [KB]: 1663 0.25/0.51 % (23763)Time elapsed: 0.004 s 0.25/0.51 % (23763)Instructions burned: 4 (million) 0.25/0.51 % (23763)------------------------------ 0.25/0.51 % (23763)------------------------------ 0.25/0.51 % (23764)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_23640 for (2399ds/7Mi) 0.25/0.52 % (23764)Instruction limit reached! 0.25/0.52 % (23764)------------------------------ 0.25/0.52 % (23764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.52 % (23764)Termination reason: Unknown 0.25/0.52 % (23764)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (23764)Memory used [KB]: 1791 0.25/0.52 % (23764)Time elapsed: 0.006 s 0.25/0.52 % (23764)Instructions burned: 7 (million) 0.25/0.52 % (23764)------------------------------ 0.25/0.52 % (23764)------------------------------ 0.25/0.52 % (23765)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_23640 for (2399ds/3Mi) 0.25/0.52 % (23765)Instruction limit reached! 0.25/0.52 % (23765)------------------------------ 0.25/0.52 % (23765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.52 % (23765)Termination reason: Unknown 0.25/0.52 % (23765)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (23765)Memory used [KB]: 1663 0.25/0.52 % (23765)Time elapsed: 0.004 s 0.25/0.52 % (23765)Instructions burned: 3 (million) 0.25/0.52 % (23765)------------------------------ 0.25/0.52 % (23765)------------------------------ 0.25/0.52 % (23766)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_23640 for (2399ds/4Mi) 0.25/0.53 % (23767)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_23640 for (2399ds/18Mi) 0.25/0.53 % (23766)Instruction limit reached! 0.25/0.53 % (23766)------------------------------ 0.25/0.53 % (23766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.53 % (23766)Termination reason: Unknown 0.25/0.53 % (23766)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (23766)Memory used [KB]: 1663 0.25/0.53 % (23766)Time elapsed: 0.004 s 0.25/0.53 % (23766)Instructions burned: 4 (million) 0.25/0.53 % (23766)------------------------------ 0.25/0.53 % (23766)------------------------------ 0.25/0.53 % (23768)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_23640 for (2398ds/710Mi) 0.25/0.53 % (23767)Instruction limit reached! 0.25/0.53 % (23767)------------------------------ 0.25/0.53 % (23767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.53 % (23767)Termination reason: Unknown 0.25/0.53 % (23767)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (23767)Memory used [KB]: 1918 0.25/0.53 % (23767)Time elapsed: 0.011 s 0.25/0.53 % (23767)Instructions burned: 18 (million) 0.25/0.53 % (23767)------------------------------ 0.25/0.53 % (23767)------------------------------ 0.25/0.54 % (23769)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_23640 for (2398ds/6Mi) 0.25/0.54 % (23769)Instruction limit reached! 0.25/0.54 % (23769)------------------------------ 0.25/0.54 % (23769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.54 % (23769)Termination reason: Unknown 0.25/0.54 % (23769)Termination phase: shuffling 0.25/0.54 0.25/0.54 % (23769)Memory used [KB]: 1791 0.25/0.54 % (23769)Time elapsed: 0.005 s 0.25/0.54 % (23769)Instructions burned: 7 (million) 0.25/0.54 % (23769)------------------------------ 0.25/0.54 % (23769)------------------------------ 0.25/0.54 % (23753)First to succeed. 0.25/0.54 % (23748)Instruction limit reached! 0.25/0.54 % (23748)------------------------------ 0.25/0.54 % (23748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.54 % (23748)Termination reason: Unknown 0.25/0.54 % (23748)Termination phase: Property scanning 0.25/0.54 0.25/0.54 % (23748)Memory used [KB]: 4093 0.25/0.54 % (23748)Time elapsed: 0.088 s 0.25/0.54 % (23748)Instructions burned: 183 (million) 0.25/0.54 % (23748)------------------------------ 0.25/0.54 % (23748)------------------------------ 0.25/0.54 % (23753)Refutation found. Thanks to Tanya! 0.25/0.54 % SZS status Theorem for E---3.1_23640 0.25/0.54 % SZS output start Proof for E---3.1_23640 0.25/0.54 thf(type_def_5, type, pi: $tType). 0.25/0.54 thf(type_def_7, type, name: $tType). 0.25/0.54 thf(type_def_8, type, set_name: $tType). 0.25/0.54 thf(type_def_9, type, late_freeRes: $tType). 0.25/0.54 thf(type_def_10, type, late_subject: $tType). 0.25/0.54 thf(type_def_11, type, late_residual: $tType). 0.25/0.54 thf(type_def_12, type, noptio354675977ion_pi: $tType). 0.25/0.54 thf(type_def_13, type, noption_name: $tType). 0.25/0.54 thf(type_def_14, type, noption_pi: $tType). 0.25/0.54 thf(type_def_15, type, noptio1926134715n_name: $tType). 0.25/0.54 thf(type_def_16, type, noption_Late_freeRes: $tType). 0.25/0.54 thf(type_def_17, type, noptio435234344reeRes: $tType). 0.25/0.54 thf(type_def_18, type, noption_Late_subject: $tType). 0.25/0.54 thf(type_def_19, type, noptio570777408ubject: $tType). 0.25/0.54 thf(type_def_20, type, noptio930204083reeRes: $tType). 0.25/0.54 thf(type_def_21, type, noptio1065747147ubject: $tType). 0.25/0.54 thf(func_def_0, type, noptio1065747147ubject: $tType). 0.25/0.54 thf(func_def_1, type, noptio930204083reeRes: $tType). 0.25/0.54 thf(func_def_2, type, noptio570777408ubject: $tType). 0.25/0.54 thf(func_def_3, type, noptio435234344reeRes: $tType). 0.25/0.54 thf(func_def_4, type, noptio1926134715n_name: $tType). 0.25/0.54 thf(func_def_5, type, noptio354675977ion_pi: $tType). 0.25/0.54 thf(func_def_6, type, noption_Late_subject: $tType). 0.25/0.54 thf(func_def_7, type, noption_Late_freeRes: $tType). 0.25/0.54 thf(func_def_8, type, noption_name: $tType). 0.25/0.54 thf(func_def_9, type, noption_pi: $tType). 0.25/0.54 thf(func_def_10, type, set_name: $tType). 0.25/0.54 thf(func_def_11, type, late_residual: $tType). 0.25/0.54 thf(func_def_12, type, late_subject: $tType). 0.25/0.54 thf(func_def_13, type, late_freeRes: $tType). 0.25/0.54 thf(func_def_14, type, name: $tType). 0.25/0.54 thf(func_def_15, type, pi: $tType). 0.25/0.54 thf(func_def_16, type, bang: pi > pi). 0.25/0.54 thf(func_def_17, type, input: name > name > pi > pi). 0.25/0.54 thf(func_def_18, type, match: name > name > pi > pi). 0.25/0.54 thf(func_def_19, type, mismatch: name > name > pi > pi). 0.25/0.54 thf(func_def_20, type, output: name > name > pi > pi). 0.25/0.54 thf(func_def_21, type, par: pi > pi > pi). 0.25/0.54 thf(func_def_22, type, piNil: pi). 0.25/0.54 thf(func_def_23, type, res: name > pi > pi). 0.25/0.54 thf(func_def_24, type, sum: pi > pi > pi). 0.25/0.54 thf(func_def_25, type, tau: pi > pi). 0.25/0.54 thf(func_def_26, type, pi_rec_pi: pi > (name > name > pi > pi > pi) > (pi > pi > pi) > (name > name > pi > pi > pi) > (name > name > pi > pi > pi) > (name > name > pi > pi > pi) > (pi > pi > pi > pi > pi) > (pi > pi > pi > pi > pi) > (name > pi > pi > pi) > (pi > pi > pi) > pi > pi). 0.25/0.54 thf(func_def_27, type, subs: pi > name > name > pi). 0.25/0.54 thf(func_def_28, type, subst_name: name > name > name > name). 0.25/0.54 thf(func_def_29, type, finite_finite_name: set_name > $o). 0.25/0.54 thf(func_def_30, type, if_name: $o > name > name > name). 0.25/0.54 thf(func_def_31, type, late_bangPred: pi > pi > $o). 0.25/0.54 thf(func_def_32, type, late_OutputR: name > name > late_freeRes). 0.25/0.54 thf(func_def_33, type, late_TauR: late_freeRes). 0.25/0.54 thf(func_def_34, type, late_BoundR: late_subject > name > pi > late_residual). 0.25/0.54 thf(func_def_35, type, late_FreeR: late_freeRes > pi > late_residual). 0.25/0.54 thf(func_def_36, type, late_r1174711868c_name: (late_subject > name > pi > name) > (late_freeRes > pi > name) > late_residual > name). 0.25/0.54 thf(func_def_37, type, late_residual_rec_pi: (late_subject > name > pi > pi) > (late_freeRes > pi > pi) > late_residual > pi). 0.25/0.54 thf(func_def_38, type, late_r124702629reeRes: (late_subject > name > pi > late_freeRes) > (late_freeRes > pi > late_freeRes) > late_residual > late_freeRes). 0.25/0.54 thf(func_def_39, type, late_r1347955901ubject: (late_subject > name > pi > late_subject) > (late_freeRes > pi > late_subject) > late_residual > late_subject). 0.25/0.54 thf(func_def_40, type, late_r1558248490ion_pi: (late_subject > name > pi > name > noptio354675977ion_pi) > (late_freeRes > pi > name > noptio354675977ion_pi) > late_residual > (name > noptio354675977ion_pi) > $o). 0.25/0.54 thf(func_def_41, type, late_r303715378n_name: (late_subject > name > pi > name > noption_name) > (late_freeRes > pi > name > noption_name) > late_residual > (name > noption_name) > $o). 0.25/0.54 thf(func_def_42, type, late_r750878080ion_pi: (late_subject > name > pi > name > noption_pi) > (late_freeRes > pi > name > noption_pi) > late_residual > (name > noption_pi) > $o). 0.25/0.54 thf(func_def_43, type, late_r1742481968t_name: (late_subject > name > pi > name) > (late_freeRes > pi > name) > late_residual > name > $o). 0.25/0.54 thf(func_def_44, type, late_r1261898622set_pi: (late_subject > name > pi > pi) > (late_freeRes > pi > pi) > late_residual > pi > $o). 0.25/0.54 thf(func_def_45, type, late_r1613948593reeRes: (late_subject > name > pi > late_freeRes) > (late_freeRes > pi > late_freeRes) > late_residual > late_freeRes > $o). 0.25/0.54 thf(func_def_46, type, late_r689718217ubject: (late_subject > name > pi > late_subject) > (late_freeRes > pi > late_subject) > late_residual > late_subject > $o). 0.25/0.54 thf(func_def_47, type, late_BoundOutputS: name > late_subject). 0.25/0.54 thf(func_def_48, type, late_InputS: name > late_subject). 0.25/0.54 thf(func_def_49, type, late_transitions: pi > late_residual > $o). 0.25/0.54 thf(func_def_50, type, sup_sup_set_name: set_name > set_name > set_name). 0.25/0.54 thf(func_def_51, type, abs_fu1394407909n_name: name > (name > noption_name) > name > noptio1926134715n_name). 0.25/0.54 thf(func_def_52, type, abs_fu1614711987ion_pi: name > (name > noption_pi) > name > noptio354675977ion_pi). 0.25/0.54 thf(func_def_53, type, abs_fu1763130856reeRes: name > (name > noption_Late_freeRes) > name > noptio435234344reeRes). 0.25/0.54 thf(func_def_54, type, abs_fu1705804544ubject: name > (name > noption_Late_subject) > name > noptio570777408ubject). 0.25/0.54 thf(func_def_55, type, abs_fu946147443reeRes: name > (late_freeRes > pi > late_freeRes) > name > noptio930204083reeRes). 0.25/0.54 thf(func_def_56, type, abs_fu888821131ubject: name > (late_freeRes > pi > late_subject) > name > noptio1065747147ubject). 0.25/0.54 thf(func_def_57, type, abs_fun_name_name: name > name > name > noption_name). 0.25/0.54 thf(func_def_58, type, abs_fun_name_pi: name > pi > name > noption_pi). 0.25/0.54 thf(func_def_59, type, abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes). 0.25/0.54 thf(func_def_60, type, abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject). 0.25/0.54 thf(func_def_61, type, fresh_1742414570n_name: name > (name > noptio1926134715n_name) > $o). 0.25/0.54 thf(func_def_62, type, fresh_92802872ion_pi: name > (name > noptio354675977ion_pi) > $o). 0.25/0.54 thf(func_def_63, type, fresh_1215331279reeRes: name > (name > noptio435234344reeRes) > $o). 0.25/0.54 thf(func_def_64, type, fresh_600418535ubject: name > (name > noptio570777408ubject) > $o). 0.25/0.54 thf(func_def_65, type, fresh_111433690reeRes: name > (name > noptio930204083reeRes) > $o). 0.25/0.54 thf(func_def_66, type, fresh_1644004594ubject: name > (name > noptio1065747147ubject) > $o). 0.25/0.54 thf(func_def_67, type, fresh_1093033124n_name: name > (name > noption_name) > $o). 0.25/0.54 thf(func_def_68, type, fresh_543891186ion_pi: name > (name > noption_pi) > $o). 0.25/0.54 thf(func_def_69, type, fresh_785364841reeRes: name > (name > noption_Late_freeRes) > $o). 0.25/0.54 thf(func_def_70, type, fresh_728038529ubject: name > (name > noption_Late_subject) > $o). 0.25/0.54 thf(func_def_71, type, fresh_2081817683ion_pi: name > (late_freeRes > pi > name > noptio354675977ion_pi) > $o). 0.25/0.54 thf(func_def_72, type, fresh_808662133n_name: name > (late_freeRes > pi > name > noption_name) > $o). 0.25/0.54 thf(func_def_73, type, fresh_7927363ion_pi: name > (late_freeRes > pi > name > noption_pi) > $o). 0.25/0.54 thf(func_def_74, type, fresh_1030632537i_name: name > (late_freeRes > pi > name) > $o). 0.25/0.54 thf(func_def_75, type, fresh_1011532071_pi_pi: name > (late_freeRes > pi > pi) > $o). 0.25/0.54 thf(func_def_76, type, fresh_256112244reeRes: name > (late_freeRes > pi > late_freeRes) > $o). 0.25/0.54 thf(func_def_77, type, fresh_198785932ubject: name > (late_freeRes > pi > late_subject) > $o). 0.25/0.54 thf(func_def_78, type, fresh_876421558ion_pi: name > (late_subject > name > pi > name > noptio354675977ion_pi) > $o). 0.25/0.54 thf(func_def_79, type, fresh_62885992n_name: name > (late_subject > name > pi > name > noption_name) > $o). 0.25/0.54 thf(func_def_80, type, fresh_747777846ion_pi: name > (late_subject > name > pi > name > noption_pi) > $o). 0.25/0.54 thf(func_def_81, type, fresh_621211324i_name: name > (late_subject > name > pi > name) > $o). 0.25/0.54 thf(func_def_82, type, fresh_1438126218_pi_pi: name > (late_subject > name > pi > pi) > $o). 0.25/0.54 thf(func_def_83, type, fresh_660367079reeRes: name > (late_subject > name > pi > late_freeRes) > $o). 0.25/0.54 thf(func_def_84, type, fresh_795910143ubject: name > (late_subject > name > pi > late_subject) > $o). 0.25/0.54 thf(func_def_85, type, fresh_name_name: name > name > $o). 0.25/0.54 thf(func_def_86, type, fresh_name_pi: name > pi > $o). 0.25/0.54 thf(func_def_87, type, fresh_1641682979reeRes: name > late_freeRes > $o). 0.25/0.54 thf(func_def_88, type, fresh_81631222sidual: name > late_residual > $o). 0.25/0.54 thf(func_def_89, type, fresh_717452603ubject: name > late_subject > $o). 0.25/0.54 thf(func_def_90, type, supp_n352473082e_name: (name > noption_name) > set_name). 0.25/0.54 thf(func_def_91, type, supp_n468628396i_name: (name > noption_pi) > set_name). 0.25/0.54 thf(func_def_92, type, supp_n252280103s_name: (name > noption_Late_freeRes) > set_name). 0.25/0.54 thf(func_def_93, type, supp_n1630792207t_name: (name > noption_Late_subject) > set_name). 0.25/0.54 thf(func_def_94, type, supp_L979396363i_name: (late_freeRes > pi > name > noptio354675977ion_pi) > set_name). 0.25/0.54 thf(func_def_95, type, supp_L473926939e_name: (late_freeRes > pi > name > noption_name) > set_name). 0.25/0.54 thf(func_def_96, type, supp_L635439693i_name: (late_freeRes > pi > name > noption_pi) > set_name). 0.25/0.54 thf(func_def_97, type, supp_L926407557e_name: (late_freeRes > pi > name) > set_name). 0.25/0.54 thf(func_def_98, type, supp_L2052723895i_name: (late_freeRes > pi > pi) > set_name). 0.25/0.54 thf(func_def_99, type, supp_L381160156s_name: (late_freeRes > pi > late_freeRes) > set_name). 0.25/0.54 thf(func_def_100, type, supp_L1759672260t_name: (late_freeRes > pi > late_subject) > set_name). 0.25/0.54 thf(func_def_101, type, supp_L1512088218i_name: (late_subject > name > pi > name > noptio354675977ion_pi) > set_name). 0.25/0.54 thf(func_def_102, type, supp_L14705974e_name: (late_subject > name > pi > name > noption_name) > set_name). 0.25/0.54 thf(func_def_103, type, supp_L3230824i_name: (late_subject > name > pi > name > noption_pi) > set_name). 0.25/0.54 thf(func_def_104, type, supp_L538372628e_name: (late_subject > name > pi > name) > set_name). 0.25/0.54 thf(func_def_105, type, supp_L729745222i_name: (late_subject > name > pi > pi) > set_name). 0.25/0.54 thf(func_def_106, type, supp_L1178477943s_name: (late_subject > name > pi > late_freeRes) > set_name). 0.25/0.54 thf(func_def_107, type, supp_L1144036959t_name: (late_subject > name > pi > late_subject) > set_name). 0.25/0.54 thf(func_def_108, type, supp_name_name: name > set_name). 0.25/0.54 thf(func_def_109, type, supp_pi_name: pi > set_name). 0.25/0.54 thf(func_def_110, type, supp_L1228270395s_name: late_freeRes > set_name). 0.25/0.54 thf(func_def_111, type, supp_L1174042202l_name: late_residual > set_name). 0.25/0.54 thf(func_def_112, type, supp_L1174290467t_name: late_subject > set_name). 0.25/0.54 thf(func_def_113, type, collect_name: (name > $o) > set_name). 0.25/0.54 thf(func_def_114, type, member_name: name > set_name > $o). 0.25/0.54 thf(func_def_115, type, p: pi). 0.25/0.54 thf(func_def_116, type, pqr: pi). 0.25/0.54 thf(func_def_117, type, q: pi). 0.25/0.54 thf(func_def_118, type, qr: pi). 0.25/0.54 thf(func_def_119, type, q2: pi). 0.25/0.54 thf(func_def_120, type, r: pi). 0.25/0.54 thf(func_def_121, type, r2: pi). 0.25/0.54 thf(func_def_122, type, alpha: late_freeRes). 0.25/0.54 thf(func_def_123, type, a: name). 0.25/0.54 thf(func_def_124, type, x: name). 0.25/0.54 thf(func_def_125, type, y: name). 0.25/0.54 thf(func_def_140, type, sP0: pi > pi > late_subject > name > pi > $o). 0.25/0.54 thf(func_def_141, type, sP1: name > pi > late_subject > name > pi > $o). 0.25/0.54 thf(func_def_142, type, sP2: name > pi > late_residual > $o). 0.25/0.54 thf(func_def_143, type, sP3: name > pi > late_residual > $o). 0.25/0.54 thf(func_def_144, type, sK4: (late_freeRes > late_residual > $o) > pi). 0.25/0.54 thf(func_def_145, type, sK5: (late_freeRes > late_residual > $o) > name). 0.25/0.54 thf(func_def_146, type, sK6: (late_freeRes > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_147, type, sK7: (late_freeRes > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_148, type, sK8: (late_freeRes > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_149, type, sK9: (late_freeRes > late_residual > $o) > pi). 0.25/0.54 thf(func_def_150, type, sK10: (late_freeRes > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_151, type, sK11: late_freeRes > name). 0.25/0.54 thf(func_def_152, type, sK12: late_freeRes > name). 0.25/0.54 thf(func_def_153, type, sK13: (late_residual > $o) > pi). 0.25/0.54 thf(func_def_154, type, sK14: (late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_155, type, sK15: (late_residual > $o) > name). 0.25/0.54 thf(func_def_156, type, sK16: (late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_157, type, sK17: (late_residual > $o) > pi). 0.25/0.54 thf(func_def_158, type, sK18: late_subject > name). 0.25/0.54 thf(func_def_159, type, sK19: late_subject > name). 0.25/0.54 thf(func_def_160, type, sK20: name > pi > late_residual > name > name). 0.25/0.54 thf(func_def_161, type, sK21: name > pi > late_residual > name > name). 0.25/0.54 thf(func_def_162, type, sK22: name > pi > late_residual > name > pi). 0.25/0.54 thf(func_def_163, type, sK23: pi > late_residual > pi). 0.25/0.54 thf(func_def_164, type, sK24: (pi > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_165, type, sK25: (pi > late_residual > $o) > name). 0.25/0.54 thf(func_def_166, type, sK26: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_167, type, sK27: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_168, type, sK28: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_169, type, sK29: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_170, type, sK30: (pi > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_171, type, sK31: (late_subject > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_172, type, sK32: (late_subject > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_173, type, sK33: (late_subject > late_residual > $o) > pi). 0.25/0.54 thf(func_def_174, type, sK34: (late_subject > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_175, type, sK35: (late_subject > late_residual > $o) > pi). 0.25/0.54 thf(func_def_176, type, sK36: (late_subject > late_residual > $o) > name). 0.25/0.54 thf(func_def_177, type, sK37: (late_subject > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_178, type, sK38: pi > late_residual > pi). 0.25/0.54 thf(func_def_179, type, sK39: (late_freeRes > $o) > name). 0.25/0.54 thf(func_def_180, type, sK40: (late_freeRes > $o) > name). 0.25/0.54 thf(func_def_181, type, sK41: (late_freeRes > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_182, type, sK42: (late_freeRes > late_residual > $o) > pi). 0.25/0.54 thf(func_def_183, type, sK43: (late_freeRes > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_184, type, sK44: (late_freeRes > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_185, type, sK45: (late_freeRes > late_residual > $o) > pi). 0.25/0.54 thf(func_def_186, type, sK46: (late_freeRes > late_residual > $o) > name). 0.25/0.54 thf(func_def_187, type, sK47: (late_freeRes > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_188, type, sK48: late_freeRes > name). 0.25/0.54 thf(func_def_189, type, sK49: pi > name). 0.25/0.54 thf(func_def_190, type, sK50: pi > name > pi > late_freeRes > pi). 0.25/0.54 thf(func_def_191, type, sK51: pi > name > pi > late_freeRes > pi). 0.25/0.54 thf(func_def_192, type, sK52: pi > name > pi > late_freeRes > late_freeRes). 0.25/0.54 thf(func_def_193, type, sK53: pi > name > pi > late_freeRes > name). 0.25/0.54 thf(func_def_194, type, sK54: late_subject > name). 0.25/0.54 thf(func_def_195, type, sK55: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_196, type, sK56: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_197, type, sK57: (pi > late_residual > $o) > name). 0.25/0.54 thf(func_def_198, type, sK58: (pi > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_199, type, sK59: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_200, type, sK60: (pi > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_201, type, sK61: (pi > late_residual > $o) > pi). 0.25/0.54 thf(func_def_202, type, sK62: pi > pi > late_subject > name > pi > pi). 0.25/0.54 thf(func_def_203, type, sK63: pi > pi > late_subject > name > pi > pi). 0.25/0.54 thf(func_def_204, type, sK64: pi > pi > late_subject > name > pi > late_subject). 0.25/0.54 thf(func_def_205, type, sK65: pi > pi > late_subject > name > pi > name). 0.25/0.54 thf(func_def_206, type, sK66: pi > pi > late_subject > name > pi > pi). 0.25/0.54 thf(func_def_207, type, sK67: name > pi > pi > pi > late_subject > pi). 0.25/0.54 thf(func_def_208, type, sK68: name > pi > pi > pi > late_subject > name). 0.25/0.54 thf(func_def_209, type, sK69: name > pi > pi > pi > late_subject > pi). 0.25/0.54 thf(func_def_210, type, sK70: name > pi > pi > pi > late_subject > pi). 0.25/0.54 thf(func_def_211, type, sK71: name > pi > pi > pi > late_subject > late_subject). 0.25/0.54 thf(func_def_212, type, sK72: (late_subject > late_residual > $o) > pi). 0.25/0.54 thf(func_def_213, type, sK73: (late_subject > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_214, type, sK74: (late_subject > late_residual > $o) > late_freeRes). 0.25/0.54 thf(func_def_215, type, sK75: (late_subject > late_residual > $o) > pi). 0.25/0.54 thf(func_def_216, type, sK76: (late_subject > late_residual > $o) > name). 0.25/0.54 thf(func_def_217, type, sK77: (late_subject > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_218, type, sK78: (late_subject > late_residual > $o) > late_subject). 0.25/0.54 thf(func_def_219, type, sK79: (pi > $o) > pi > late_subject > pi > name > pi). 0.25/0.54 thf(func_def_220, type, sK80: (pi > $o) > pi > late_subject > pi > name > pi). 0.25/0.54 thf(func_def_221, type, sK81: name > pi > late_subject > name > pi > name). 0.25/0.54 thf(func_def_222, type, sK82: name > pi > late_subject > name > pi > late_subject). 0.25/0.54 thf(func_def_223, type, sK83: name > pi > late_subject > name > pi > pi). 0.25/0.54 thf(func_def_224, type, sK84: name > pi > late_subject > name > pi > pi). 0.25/0.54 thf(func_def_225, type, sK85: name > pi > late_subject > name > pi > name). 0.25/0.54 thf(func_def_226, type, sK86: name > late_subject > pi > name > pi > pi). 0.25/0.54 thf(func_def_227, type, sK87: name > late_subject > pi > name > pi > name). 0.25/0.54 thf(func_def_228, type, sK88: name > late_subject > pi > name > pi > name). 0.25/0.54 thf(func_def_229, type, sK89: name > late_subject > pi > name > pi > pi). 0.25/0.54 thf(func_def_230, type, sK90: name > (pi > $o) > late_freeRes > pi > pi). 0.25/0.54 thf(func_def_231, type, sK91: (late_subject > $o) > name). 0.25/0.54 thf(func_def_232, type, sK92: (late_subject > $o) > name). 0.25/0.54 thf(func_def_233, type, sK93: name > pi > late_residual > name). 0.25/0.54 thf(func_def_234, type, sK94: name > pi > late_residual > pi). 0.25/0.54 thf(func_def_235, type, sK95: name > pi > late_residual > pi). 0.25/0.54 thf(func_def_236, type, sK96: name > pi > late_residual > late_freeRes). 0.25/0.54 thf(func_def_237, type, sK97: name > pi > late_residual > late_subject). 0.25/0.54 thf(func_def_238, type, sK98: name > pi > late_residual > name). 0.25/0.54 thf(func_def_239, type, sK99: name > pi > late_residual > pi). 0.25/0.54 thf(func_def_240, type, sK100: name > pi > late_residual > pi). 0.25/0.54 thf(func_def_241, type, sK101: name > pi > late_residual > name). 0.25/0.54 thf(func_def_242, type, sK102: name > late_residual > pi > name). 0.25/0.54 thf(func_def_243, type, sK103: name > late_residual > pi > pi). 0.25/0.54 thf(func_def_244, type, sK104: name > late_residual > pi > name). 0.25/0.54 thf(func_def_245, type, sK105: name > late_residual > pi > pi). 0.25/0.54 thf(func_def_247, type, ph107: !>[X0: $tType]:(X0)). 0.25/0.54 thf(f1448,plain,( 0.25/0.54 $false), 0.25/0.54 inference(subsumption_resolution,[status(thm)],[f1444,f1197])). 0.25/0.54 thf(f1197,plain,( 0.25/0.54 ((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2)) = $true)), 0.25/0.54 inference(cnf_transformation,[status(thm)],[f437])). 0.25/0.54 thf(f437,plain,( 0.25/0.54 ((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2)) = $true)), 0.25/0.54 inference(fool_elimination,[status(thm)],[f436])). 0.25/0.54 thf(f436,plain,( 0.25/0.54 (late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))), 0.25/0.54 inference(rectify,[status(thm)],[f144])). 0.25/0.54 thf(f144,axiom,( 0.25/0.54 (late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))), 0.25/0.54 file('/export/starexec/sandbox/tmp/tmp.UVoBwuPx4N/E---3.1_23640.p',fact_12_cClose2_Ohyps_I2_J)). 0.25/0.54 thf(f1444,plain,( 0.25/0.54 ((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2)) != $true)), 0.25/0.54 inference(trivial_inequality_removal,[status(thm)],[f1441])). 0.25/0.54 thf(f1441,plain,( 0.25/0.54 ((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2)) != $true) | ($true != $true)), 0.25/0.54 inference(superposition,[status(thm)],[f1413,f1344])). 0.25/0.54 thf(f1344,plain,( 0.25/0.54 ((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2))) = $true)), 0.25/0.54 inference(cnf_transformation,[status(thm)],[f681])). 0.25/0.54 thf(f681,plain,( 0.25/0.54 ((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2))) = $true)), 0.25/0.54 inference(fool_elimination,[status(thm)],[f680])). 0.25/0.54 thf(f680,plain,( 0.25/0.54 (late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))), 0.25/0.54 inference(rectify,[status(thm)],[f323])). 0.25/0.54 thf(f323,axiom,( 0.25/0.54 (late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))), 0.25/0.54 file('/export/starexec/sandbox/tmp/tmp.UVoBwuPx4N/E---3.1_23640.p',fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062)). 0.25/0.54 thf(f1413,plain,( 0.25/0.54 ( ! [X0 : name] : (((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ X0) @ y @ (par @ p @ q2))) != $true) | ((late_transitions @ r @ (late_BoundR @ (late_InputS @ X0) @ x @ r2)) != $true)) )), 0.25/0.54 inference(subsumption_resolution,[status(thm)],[f1382,f1198])). 0.25/0.54 thf(f1198,plain,( 0.25/0.54 ((fresh_name_pi @ y @ r) = $true)), 0.25/0.54 inference(cnf_transformation,[status(thm)],[f621])). 0.25/0.54 thf(f621,plain,( 0.25/0.54 ((fresh_name_pi @ y @ r) = $true)), 0.25/0.54 inference(fool_elimination,[status(thm)],[f620])). 0.25/0.54 thf(f620,plain,( 0.25/0.54 (fresh_name_pi @ y @ r)), 0.25/0.54 inference(rectify,[status(thm)],[f316])). 0.25/0.54 thf(f316,axiom,( 0.25/0.54 (fresh_name_pi @ y @ r)), 0.25/0.54 file('/export/starexec/sandbox/tmp/tmp.UVoBwuPx4N/E---3.1_23640.p',fact_3_cClose2_Ohyps_I9_J)). 0.25/0.54 thf(f1382,plain,( 0.25/0.54 ( ! [X0 : name] : (((fresh_name_pi @ y @ r) != $true) | ((late_transitions @ r @ (late_BoundR @ (late_InputS @ X0) @ x @ r2)) != $true) | ((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ X0) @ y @ (par @ p @ q2))) != $true)) )), 0.25/0.54 inference(trivial_inequality_removal,[status(thm)],[f1380])). 0.25/0.54 thf(f1380,plain,( 0.25/0.54 ( ! [X0 : name] : (((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ X0) @ y @ (par @ p @ q2))) != $true) | ((late_transitions @ r @ (late_BoundR @ (late_InputS @ X0) @ x @ r2)) != $true) | ((fresh_name_pi @ y @ r) != $true) | ($true != $true)) )), 0.25/0.54 inference(superposition,[status(thm)],[f1261,f1270])). 0.25/0.54 thf(f1270,plain,( 0.25/0.54 ( ! [X2 : name,X3 : pi,X0 : name,X1 : pi,X6 : pi,X4 : pi,X5 : name] : (((late_transitions @ (par @ X3 @ X6) @ (late_FreeR @ late_TauR @ (res @ X5 @ (par @ X1 @ (subs @ X4 @ X2 @ X5))))) = $true) | ((late_transitions @ X6 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X4)) != $true) | ($true != (late_transitions @ X3 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X5 @ X1))) | ((fresh_name_pi @ X5 @ X6) != $true)) )), 0.25/0.54 inference(cnf_transformation,[status(thm)],[f1002])). 0.25/0.54 thf(f1002,plain,( 0.25/0.54 ! [X0 : name,X1 : pi,X2 : name,X3 : pi,X4 : pi,X5 : name,X6 : pi] : (((late_transitions @ X6 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X4)) != $true) | ((late_transitions @ (par @ X3 @ X6) @ (late_FreeR @ late_TauR @ (res @ X5 @ (par @ X1 @ (subs @ X4 @ X2 @ X5))))) = $true) | ((fresh_name_pi @ X5 @ X6) != $true) | ($true != (late_transitions @ X3 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X5 @ X1))))), 0.25/0.54 inference(flattening,[status(thm)],[f1001])). 0.25/0.54 thf(f1001,plain,( 0.25/0.54 ! [X0 : name,X1 : pi,X2 : name,X3 : pi,X4 : pi,X5 : name,X6 : pi] : (((((late_transitions @ (par @ X3 @ X6) @ (late_FreeR @ late_TauR @ (res @ X5 @ (par @ X1 @ (subs @ X4 @ X2 @ X5))))) = $true) | ((fresh_name_pi @ X5 @ X6) != $true)) | ((late_transitions @ X6 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X4)) != $true)) | ($true != (late_transitions @ X3 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X5 @ X1))))), 0.25/0.54 inference(ennf_transformation,[status(thm)],[f641])). 0.25/0.54 thf(f641,plain,( 0.25/0.54 ! [X0 : name,X1 : pi,X2 : name,X3 : pi,X4 : pi,X5 : name,X6 : pi] : (($true = (late_transitions @ X3 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X5 @ X1))) => (((late_transitions @ X6 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X4)) = $true) => (((fresh_name_pi @ X5 @ X6) = $true) => ((late_transitions @ (par @ X3 @ X6) @ (late_FreeR @ late_TauR @ (res @ X5 @ (par @ X1 @ (subs @ X4 @ X2 @ X5))))) = $true))))), 0.25/0.54 inference(fool_elimination,[status(thm)],[f640])). 0.25/0.54 thf(f640,plain,( 0.25/0.54 ! [X0 : name,X1 : pi,X2 : name,X3 : pi,X4 : pi,X5 : name,X6 : pi] : ((late_transitions @ X3 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X5 @ X1)) => ((late_transitions @ X6 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X4)) => ((fresh_name_pi @ X5 @ X6) => (late_transitions @ (par @ X3 @ X6) @ (late_FreeR @ late_TauR @ (res @ X5 @ (par @ X1 @ (subs @ X4 @ X2 @ X5))))))))), 0.25/0.54 inference(rectify,[status(thm)],[f224])). 0.25/0.54 thf(f224,axiom,( 0.25/0.54 ! [X3 : name,X11 : pi,X0 : name,X10 : pi,X77 : pi,X12 : name,X24 : pi] : ((late_transitions @ X10 @ (late_BoundR @ (late_BoundOutputS @ X3) @ X12 @ X11)) => ((late_transitions @ X24 @ (late_BoundR @ (late_InputS @ X3) @ X0 @ X77)) => ((fresh_name_pi @ X12 @ X24) => (late_transitions @ (par @ X10 @ X24) @ (late_FreeR @ late_TauR @ (res @ X12 @ (par @ X11 @ (subs @ X77 @ X0 @ X12))))))))), 0.25/0.54 file('/export/starexec/sandbox/tmp/tmp.UVoBwuPx4N/E---3.1_23640.p',fact_24_Late__Semantics_OClose2)). 0.25/0.54 thf(f1261,plain,( 0.25/0.54 ((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y))))) != $true)), 0.25/0.54 inference(cnf_transformation,[status(thm)],[f888])). 0.25/0.54 thf(f888,plain,( 0.25/0.54 ((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y))))) != $true)), 0.25/0.54 inference(flattening,[status(thm)],[f655])). 0.25/0.54 thf(f655,plain,( 0.25/0.54 ~((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y))))) = $true)), 0.25/0.54 inference(fool_elimination,[status(thm)],[f654])). 0.25/0.54 thf(f654,plain,( 0.25/0.54 ~(late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))), 0.25/0.54 inference(rectify,[status(thm)],[f155])). 0.25/0.54 thf(f155,negated_conjecture,( 0.25/0.54 ~(late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))), 0.25/0.54 inference(negated_conjecture,[status(cth)],[f154])). 0.25/0.54 thf(f154,conjecture,( 0.25/0.54 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))), 0.25/0.54 file('/export/starexec/sandbox/tmp/tmp.UVoBwuPx4N/E---3.1_23640.p',conj_0)). 0.25/0.54 % SZS output end Proof for E---3.1_23640 0.25/0.54 % (23753)------------------------------ 0.25/0.54 % (23753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.54 % (23753)Termination reason: Refutation 0.25/0.54 0.25/0.54 % (23753)Memory used [KB]: 8059 0.25/0.54 % (23753)Time elapsed: 0.087 s 0.25/0.54 % (23753)Instructions burned: 168 (million) 0.25/0.54 % (23753)------------------------------ 0.25/0.54 % (23753)------------------------------ 0.25/0.54 % (23747)Success in time 0.12 s 0.25/0.55 EOF