0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire %s %d THM 0.11/0.38 % Computer : n005.cluster.edu 0.11/0.38 % Model : x86_64 x86_64 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.38 % Memory : 8046.5625MB 0.11/0.38 % OS : Linux 6.8.0-71-generic 0.11/0.38 % CPULimit : 1440 0.11/0.38 % WCLimit : 180 0.11/0.38 % DateTime : Mon Jul 27 09:37:34 UTC 2026 0.11/0.39 % CPUTime : 0.17/0.43 This is a THF_ problem 0.17/0.43 Running higher-order theorem proving 0.26/0.52 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.od1qtmkqdn/E---3.1_2879063.p -m 16384 -t 180 0.35/0.60 % (2879111)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_2879063 for (1799ds/2Mi) 0.35/0.60 % (2879111)Instruction limit reached! 0.35/0.60 % (2879111)------------------------------ 0.35/0.60 % (2879111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.60 % (2879111)Termination reason: Unknown 0.35/0.60 % (2879111)Termination phase: shuffling 0.35/0.60 0.35/0.60 % (2879111)Memory used [KB]: 1535 0.35/0.60 % (2879111)Time elapsed: 0.004 s 0.35/0.60 % (2879111)Instructions burned: 3 (million) 0.35/0.60 % (2879111)------------------------------ 0.35/0.60 % (2879111)------------------------------ 0.35/0.61 % (2879107)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_2879063 for (1799ds/183Mi) 0.35/0.61 % (2879109)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_2879063 for (1799ds/27Mi) 0.35/0.61 % (2879108)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_2879063 for (1799ds/4Mi) 0.35/0.61 % (2879110)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_2879063 for (1799ds/2Mi) 0.35/0.61 % (2879112)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_2879063 for (1799ds/275Mi) 0.35/0.61 % (2879113)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_2879063 for (1799ds/18Mi) 0.35/0.62 % (2879110)Instruction limit reached! 0.35/0.62 % (2879110)------------------------------ 0.35/0.62 % (2879110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.62 % (2879110)Termination reason: Unknown 0.35/0.62 % (2879110)Termination phase: shuffling 0.35/0.62 0.35/0.62 % (2879110)Memory used [KB]: 1407 0.35/0.62 % (2879110)Time elapsed: 0.005 s 0.35/0.62 % (2879110)Instructions burned: 2 (million) 0.35/0.62 % (2879110)------------------------------ 0.35/0.62 % (2879110)------------------------------ 0.35/0.62 % (2879108)Instruction limit reached! 0.35/0.62 % (2879108)------------------------------ 0.35/0.62 % (2879108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.62 % (2879108)Termination reason: Unknown 0.35/0.62 % (2879108)Termination phase: shuffling 0.35/0.62 0.35/0.62 % (2879108)Memory used [KB]: 1535 0.35/0.62 % (2879108)Time elapsed: 0.007 s 0.35/0.62 % (2879108)Instructions burned: 4 (million) 0.35/0.62 % (2879108)------------------------------ 0.35/0.62 % (2879108)------------------------------ 0.35/0.62 % (2879114)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_2879063 for (1799ds/3Mi) 0.35/0.62 % (2879114)Instruction limit reached! 0.35/0.62 % (2879114)------------------------------ 0.35/0.62 % (2879114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.62 % (2879114)Termination reason: Unknown 0.35/0.62 % (2879114)Termination phase: shuffling 0.35/0.62 0.35/0.62 % (2879114)Memory used [KB]: 1535 0.35/0.62 % (2879114)Time elapsed: 0.004 s 0.35/0.62 % (2879114)Instructions burned: 3 (million) 0.35/0.62 % (2879114)------------------------------ 0.35/0.62 % (2879114)------------------------------ 0.35/0.63 % (2879113)Instruction limit reached! 0.35/0.63 % (2879113)------------------------------ 0.35/0.63 % (2879113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.63 % (2879113)Termination reason: Unknown 0.35/0.63 % (2879113)Termination phase: shuffling 0.35/0.63 0.35/0.63 % (2879113)Memory used [KB]: 1791 0.35/0.63 % (2879113)Time elapsed: 0.022 s 0.35/0.63 % (2879113)Instructions burned: 18 (million) 0.35/0.63 % (2879113)------------------------------ 0.35/0.63 % (2879113)------------------------------ 0.35/0.63 % (2879117)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_2879063 for (1799ds/3Mi) 0.35/0.64 % (2879117)Instruction limit reached! 0.35/0.64 % (2879117)------------------------------ 0.35/0.64 % (2879117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.64 % (2879117)Termination reason: Unknown 0.35/0.64 % (2879117)Termination phase: shuffling 0.35/0.64 0.35/0.64 % (2879117)Memory used [KB]: 1535 0.35/0.64 % (2879117)Time elapsed: 0.004 s 0.35/0.64 % (2879117)Instructions burned: 4 (million) 0.35/0.64 % (2879117)------------------------------ 0.35/0.64 % (2879117)------------------------------ 0.35/0.64 % (2879109)Instruction limit reached! 0.35/0.64 % (2879109)------------------------------ 0.35/0.64 % (2879109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.35/0.64 % (2879109)Termination reason: Unknown 0.35/0.64 % (2879109)Termination phase: shuffling 0.35/0.64 0.35/0.64 % (2879109)Memory used [KB]: 1918 0.35/0.64 % (2879109)Time elapsed: 0.031 s 0.35/0.64 % (2879109)Instructions burned: 27 (million) 0.35/0.64 % (2879109)------------------------------ 0.35/0.64 % (2879109)------------------------------ 0.56/0.64 % (2879115)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_2879063 for (1799ds/37Mi) 0.56/0.64 % (2879116)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_2879063 for (1799ds/15Mi) 0.56/0.65 % (2879119)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_2879063 for (1799ds/7Mi) 0.56/0.65 % (2879119)Instruction limit reached! 0.56/0.65 % (2879119)------------------------------ 0.56/0.65 % (2879119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.65 % (2879119)Termination reason: Unknown 0.56/0.65 % (2879119)Termination phase: shuffling 0.56/0.65 0.56/0.65 % (2879119)Memory used [KB]: 1663 0.56/0.65 % (2879119)Time elapsed: 0.006 s 0.56/0.65 % (2879119)Instructions burned: 8 (million) 0.56/0.65 % (2879119)------------------------------ 0.56/0.65 % (2879119)------------------------------ 0.56/0.66 % (2879116)Instruction limit reached! 0.56/0.66 % (2879116)------------------------------ 0.56/0.66 % (2879116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.66 % (2879116)Termination reason: Unknown 0.56/0.66 % (2879116)Termination phase: shuffling 0.56/0.66 0.56/0.66 % (2879116)Memory used [KB]: 1663 0.56/0.66 % (2879116)Time elapsed: 0.018 s 0.56/0.66 % (2879116)Instructions burned: 15 (million) 0.56/0.66 % (2879116)------------------------------ 0.56/0.66 % (2879116)------------------------------ 0.56/0.66 % (2879118)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_2879063 for (1799ds/1041Mi) 0.56/0.67 % (2879120)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_2879063 for (1799ds/16Mi) 0.56/0.67 % (2879121)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_2879063 for (1798ds/3Mi) 0.56/0.67 % (2879121)Instruction limit reached! 0.56/0.67 % (2879121)------------------------------ 0.56/0.67 % (2879121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.67 % (2879121)Termination reason: Unknown 0.56/0.67 % (2879121)Termination phase: shuffling 0.56/0.67 0.56/0.67 % (2879121)Memory used [KB]: 1535 0.56/0.67 % (2879121)Time elapsed: 0.004 s 0.56/0.67 % (2879121)Instructions burned: 4 (million) 0.56/0.67 % (2879121)------------------------------ 0.56/0.67 % (2879121)------------------------------ 0.56/0.68 % (2879115)Instruction limit reached! 0.56/0.68 % (2879115)------------------------------ 0.56/0.68 % (2879115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.68 % (2879115)Termination reason: Unknown 0.56/0.68 % (2879115)Termination phase: shuffling 0.56/0.68 0.56/0.68 % (2879115)Memory used [KB]: 2174 0.56/0.68 % (2879115)Time elapsed: 0.036 s 0.56/0.68 % (2879115)Instructions burned: 37 (million) 0.56/0.68 % (2879115)------------------------------ 0.56/0.68 % (2879115)------------------------------ 0.56/0.68 % (2879120)Instruction limit reached! 0.56/0.68 % (2879120)------------------------------ 0.56/0.68 % (2879120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.68 % (2879120)Termination reason: Unknown 0.56/0.68 % (2879120)Termination phase: shuffling 0.56/0.68 0.56/0.68 % (2879120)Memory used [KB]: 1791 0.56/0.68 % (2879120)Time elapsed: 0.019 s 0.56/0.68 % (2879120)Instructions burned: 16 (million) 0.56/0.68 % (2879120)------------------------------ 0.56/0.68 % (2879120)------------------------------ 0.56/0.69 % (2879123)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_2879063 for (1798ds/7Mi) 0.56/0.69 % (2879122)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_2879063 for (1798ds/3Mi) 0.56/0.69 % (2879123)Instruction limit reached! 0.56/0.69 % (2879123)------------------------------ 0.56/0.69 % (2879123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.69 % (2879123)Termination reason: Unknown 0.56/0.69 % (2879123)Termination phase: shuffling 0.56/0.69 0.56/0.69 % (2879123)Memory used [KB]: 1663 0.56/0.69 % (2879123)Time elapsed: 0.006 s 0.56/0.69 % (2879123)Instructions burned: 8 (million) 0.56/0.69 % (2879123)------------------------------ 0.56/0.69 % (2879123)------------------------------ 0.56/0.69 % (2879122)Instruction limit reached! 0.56/0.69 % (2879122)------------------------------ 0.56/0.69 % (2879122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.56/0.69 % (2879122)Termination reason: Unknown 0.56/0.69 % (2879122)Termination phase: shuffling 0.56/0.69 0.56/0.69 % (2879122)Memory used [KB]: 1407 0.56/0.69 % (2879122)Time elapsed: 0.006 s 0.56/0.69 % (2879122)Instructions burned: 3 (million) 0.56/0.69 % (2879122)------------------------------ 0.56/0.69 % (2879122)------------------------------ 0.56/0.70 % (2879112)First to succeed. 0.79/0.70 % (2879112)Refutation found. Thanks to Tanya! 0.79/0.70 % SZS status Theorem for E---3.1_2879063 0.79/0.70 % SZS output start Proof for E---3.1_2879063 0.79/0.70 thf(type_def_5, type, name: $tType). 0.79/0.70 thf(type_def_6, type, pi: $tType). 0.79/0.70 thf(type_def_8, type, late_freeRes: $tType). 0.79/0.70 thf(type_def_9, type, late_subject: $tType). 0.79/0.70 thf(type_def_10, type, late_residual: $tType). 0.79/0.70 thf(type_def_11, type, noption_name: $tType). 0.79/0.70 thf(type_def_12, type, noption_pi: $tType). 0.79/0.70 thf(type_def_13, type, noption_Late_freeRes: $tType). 0.79/0.70 thf(type_def_14, type, noption_Late_subject: $tType). 0.79/0.70 thf(type_def_15, type, produc1462499409ion_pi: $tType). 0.79/0.70 thf(type_def_16, type, produc405342261i_name: $tType). 0.79/0.70 thf(type_def_17, type, produc629157763_pi_pi: $tType). 0.79/0.70 thf(type_def_18, type, produc1834551554reeRes: $tType). 0.79/0.70 thf(type_def_19, type, produc691362330ubject: $tType). 0.79/0.70 thf(type_def_20, type, produc2008547984reeRes: $tType). 0.79/0.70 thf(type_def_21, type, produc865358760ubject: $tType). 0.79/0.70 thf(type_def_22, type, product_prod_pi_pi: $tType). 0.79/0.70 thf(type_def_23, type, produc2052722628s_name: $tType). 0.79/0.70 thf(type_def_24, type, produc992857746Res_pi: $tType). 0.79/0.70 thf(type_def_25, type, produc1357834675reeRes: $tType). 0.79/0.70 thf(type_def_26, type, produc214645451ubject: $tType). 0.79/0.70 thf(type_def_27, type, produc1998742700t_name: $tType). 0.79/0.70 thf(type_def_28, type, produc140253050ect_pi: $tType). 0.79/0.70 thf(type_def_29, type, produc355105483reeRes: $tType). 0.79/0.70 thf(type_def_30, type, produc1359399907ubject: $tType). 0.79/0.70 thf(type_def_31, type, set_Pr1569510577ion_pi: $tType). 0.79/0.70 thf(type_def_32, type, set_Pr1294453099i_name: $tType). 0.79/0.70 thf(type_def_33, type, set_Pr1694908217_pi_pi: $tType). 0.79/0.70 thf(type_def_34, type, set_Pr305743074reeRes: $tType). 0.79/0.70 thf(type_def_35, type, set_Pr248416762ubject: $tType). 0.79/0.70 thf(type_def_36, type, set_Pr1834926343_pi_pi: $tType). 0.79/0.70 thf(func_def_0, type, set_Pr1569510577ion_pi: $tType). 0.79/0.70 thf(func_def_1, type, produc1462499409ion_pi: $tType). 0.79/0.70 thf(func_def_2, type, set_Pr248416762ubject: $tType). 0.79/0.70 thf(func_def_3, type, set_Pr305743074reeRes: $tType). 0.79/0.70 thf(func_def_4, type, set_Pr1294453099i_name: $tType). 0.79/0.70 thf(func_def_5, type, produc691362330ubject: $tType). 0.79/0.70 thf(func_def_6, type, produc1834551554reeRes: $tType). 0.79/0.70 thf(func_def_7, type, set_Pr1694908217_pi_pi: $tType). 0.79/0.70 thf(func_def_8, type, produc405342261i_name: $tType). 0.79/0.70 thf(func_def_9, type, produc629157763_pi_pi: $tType). 0.79/0.70 thf(func_def_10, type, produc1359399907ubject: $tType). 0.79/0.70 thf(func_def_11, type, produc355105483reeRes: $tType). 0.79/0.70 thf(func_def_12, type, produc214645451ubject: $tType). 0.79/0.70 thf(func_def_13, type, produc1357834675reeRes: $tType). 0.79/0.70 thf(func_def_14, type, produc1998742700t_name: $tType). 0.79/0.70 thf(func_def_15, type, produc2052722628s_name: $tType). 0.79/0.70 thf(func_def_16, type, produc865358760ubject: $tType). 0.79/0.70 thf(func_def_17, type, produc2008547984reeRes: $tType). 0.79/0.70 thf(func_def_18, type, produc140253050ect_pi: $tType). 0.79/0.70 thf(func_def_19, type, produc992857746Res_pi: $tType). 0.79/0.70 thf(func_def_20, type, set_Pr1834926343_pi_pi: $tType). 0.79/0.70 thf(func_def_21, type, product_prod_pi_pi: $tType). 0.79/0.70 thf(func_def_22, type, noption_Late_subject: $tType). 0.79/0.70 thf(func_def_23, type, noption_Late_freeRes: $tType). 0.79/0.70 thf(func_def_24, type, noption_name: $tType). 0.79/0.70 thf(func_def_25, type, noption_pi: $tType). 0.79/0.70 thf(func_def_26, type, late_residual: $tType). 0.79/0.70 thf(func_def_27, type, late_subject: $tType). 0.79/0.70 thf(func_def_28, type, late_freeRes: $tType). 0.79/0.70 thf(func_def_29, type, name: $tType). 0.79/0.70 thf(func_def_30, type, pi: $tType). 0.79/0.70 thf(func_def_31, type, input: name > name > pi > pi). 0.79/0.70 thf(func_def_32, type, output: name > name > pi > pi). 0.79/0.70 thf(func_def_33, type, par: pi > pi > pi). 0.79/0.70 thf(func_def_34, type, piNil: pi). 0.79/0.70 thf(func_def_35, type, res: name > pi > pi). 0.79/0.70 thf(func_def_36, type, sum: pi > pi > pi). 0.79/0.70 thf(func_def_37, type, tau: pi > pi). 0.79/0.70 thf(func_def_38, type, subs: pi > name > name > pi). 0.79/0.70 thf(func_def_39, type, subst_name: name > name > name > name). 0.79/0.70 thf(func_def_40, type, late_OutputR: name > name > late_freeRes). 0.79/0.70 thf(func_def_41, type, late_TauR: late_freeRes). 0.79/0.70 thf(func_def_42, type, late_BoundR: late_subject > name > pi > late_residual). 0.79/0.70 thf(func_def_43, type, late_FreeR: late_freeRes > pi > late_residual). 0.79/0.70 thf(func_def_44, type, late_BoundOutputS: name > late_subject). 0.79/0.70 thf(func_def_45, type, late_InputS: name > late_subject). 0.79/0.70 thf(func_def_46, type, late_transitions: pi > late_residual > $o). 0.79/0.70 thf(func_def_47, type, abs_fun_name_name: name > name > name > noption_name). 0.79/0.70 thf(func_def_48, type, abs_fun_name_pi: name > pi > name > noption_pi). 0.79/0.70 thf(func_def_49, type, abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes). 0.79/0.70 thf(func_def_50, type, abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject). 0.79/0.70 thf(func_def_51, type, fresh_1093033124n_name: name > (name > noption_name) > $o). 0.79/0.70 thf(func_def_52, type, fresh_543891186ion_pi: name > (name > noption_pi) > $o). 0.79/0.70 thf(func_def_53, type, fresh_785364841reeRes: name > (name > noption_Late_freeRes) > $o). 0.79/0.70 thf(func_def_54, type, fresh_728038529ubject: name > (name > noption_Late_subject) > $o). 0.79/0.70 thf(func_def_55, type, fresh_name_name: name > name > $o). 0.79/0.70 thf(func_def_56, type, fresh_name_pi: name > pi > $o). 0.79/0.70 thf(func_def_57, type, fresh_1641682979reeRes: name > late_freeRes > $o). 0.79/0.70 thf(func_def_58, type, fresh_81631222sidual: name > late_residual > $o). 0.79/0.70 thf(func_def_59, type, fresh_717452603ubject: name > late_subject > $o). 0.79/0.70 thf(func_def_60, type, fresh_225680151ion_pi: name > produc1462499409ion_pi > $o). 0.79/0.70 thf(func_def_61, type, fresh_453496559i_name: name > produc405342261i_name > $o). 0.79/0.70 thf(func_def_62, type, fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o). 0.79/0.70 thf(func_def_63, type, fresh_1711070152reeRes: name > produc1834551554reeRes > $o). 0.79/0.70 thf(func_def_64, type, fresh_567880928ubject: name > produc691362330ubject > $o). 0.79/0.70 thf(func_def_65, type, fresh_1963366730reeRes: name > produc2008547984reeRes > $o). 0.79/0.70 thf(func_def_66, type, fresh_820177506ubject: name > produc865358760ubject > $o). 0.79/0.70 thf(func_def_67, type, fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o). 0.79/0.70 thf(func_def_68, type, fresh_2007541374s_name: name > produc2052722628s_name > $o). 0.79/0.70 thf(func_def_69, type, fresh_1847501388Res_pi: name > produc992857746Res_pi > $o). 0.79/0.70 thf(func_def_70, type, fresh_493808761reeRes: name > produc1357834675reeRes > $o). 0.79/0.70 thf(func_def_71, type, fresh_1498103185ubject: name > produc214645451ubject > $o). 0.79/0.70 thf(func_def_72, type, fresh_1953561446t_name: name > produc1998742700t_name > $o). 0.79/0.70 thf(func_def_73, type, fresh_994896692ect_pi: name > produc140253050ect_pi > $o). 0.79/0.70 thf(func_def_74, type, fresh_1638563217reeRes: name > produc355105483reeRes > $o). 0.79/0.70 thf(func_def_75, type, fresh_495373993ubject: name > produc1359399907ubject > $o). 0.79/0.70 thf(func_def_76, type, ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o). 0.79/0.70 thf(func_def_77, type, ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o). 0.79/0.70 thf(func_def_78, type, ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o). 0.79/0.70 thf(func_def_79, type, ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o). 0.79/0.70 thf(func_def_80, type, ord_le1705144730ubject: set_Pr248416762ubject > set_Pr248416762ubject > $o). 0.79/0.70 thf(func_def_81, type, ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o). 0.79/0.70 thf(func_def_82, type, produc1342893193ion_pi: (name > noption_pi) > (name > noption_pi) > produc1462499409ion_pi). 0.79/0.70 thf(func_def_83, type, produc540578151i_name: (name > noption_pi) > name > produc405342261i_name). 0.79/0.70 thf(func_def_84, type, produc1820286517_pi_pi: (name > noption_pi) > pi > produc629157763_pi_pi). 0.79/0.70 thf(func_def_85, type, produc1505598906reeRes: (name > noption_pi) > late_freeRes > produc1834551554reeRes). 0.79/0.70 thf(func_def_86, type, produc581368530ubject: (name > noption_pi) > late_subject > produc691362330ubject). 0.79/0.70 thf(func_def_87, type, produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes). 0.79/0.70 thf(func_def_88, type, produc607574050ubject: name > late_subject > produc865358760ubject). 0.79/0.70 thf(func_def_89, type, product_Pair_pi_pi: pi > pi > product_prod_pi_pi). 0.79/0.70 thf(func_def_90, type, produc1701355766s_name: late_freeRes > name > produc2052722628s_name). 0.79/0.70 thf(func_def_91, type, produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi). 0.79/0.70 thf(func_def_92, type, produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes). 0.79/0.70 thf(func_def_93, type, produc320590723ubject: late_freeRes > late_subject > produc214645451ubject). 0.79/0.70 thf(func_def_94, type, produc1647375838t_name: late_subject > name > produc1998742700t_name). 0.79/0.70 thf(func_def_95, type, produc324947500ect_pi: late_subject > pi > produc140253050ect_pi). 0.79/0.70 thf(func_def_96, type, produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes). 0.79/0.70 thf(func_def_97, type, produc1465345179ubject: late_subject > late_subject > produc1359399907ubject). 0.79/0.70 thf(func_def_98, type, eqvt_pi: set_Pr1834926343_pi_pi > $o). 0.79/0.70 thf(func_def_99, type, id_name_noption_pi: set_Pr1569510577ion_pi). 0.79/0.70 thf(func_def_100, type, id_pi: set_Pr1834926343_pi_pi). 0.79/0.70 thf(func_def_101, type, collec1051790738_pi_pi: (product_prod_pi_pi > $o) > set_Pr1834926343_pi_pi). 0.79/0.70 thf(func_def_102, type, strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o). 0.79/0.70 thf(func_def_103, type, strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o). 0.79/0.70 thf(func_def_104, type, member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o). 0.79/0.70 thf(func_def_105, type, member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o). 0.79/0.70 thf(func_def_106, type, member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o). 0.79/0.70 thf(func_def_107, type, member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o). 0.79/0.70 thf(func_def_108, type, member938018755ubject: produc691362330ubject > set_Pr248416762ubject > $o). 0.79/0.70 thf(func_def_109, type, member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o). 0.79/0.70 thf(func_def_110, type, p: pi). 0.79/0.70 thf(func_def_111, type, p2: pi). 0.79/0.70 thf(func_def_112, type, pxQ: pi). 0.79/0.70 thf(func_def_113, type, q: pi). 0.79/0.70 thf(func_def_114, type, rel: set_Pr1834926343_pi_pi). 0.79/0.70 thf(func_def_115, type, alpha: late_freeRes). 0.79/0.70 thf(func_def_116, type, x: name). 0.79/0.70 thf(func_def_134, type, sP0: pi > pi > late_subject > name > pi > $o). 0.79/0.70 thf(func_def_135, type, sK1: (late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_136, type, sK2: (late_residual > $o) > name). 0.79/0.70 thf(func_def_137, type, sK3: (late_residual > $o) > pi). 0.79/0.70 thf(func_def_138, type, sK4: (late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_139, type, sK5: (late_residual > $o) > pi). 0.79/0.70 thf(func_def_140, type, sK6: name > pi > late_freeRes > (pi > $o) > pi). 0.79/0.70 thf(func_def_141, type, sK7: late_freeRes > name). 0.79/0.70 thf(func_def_142, type, sK8: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_143, type, sK9: (pi > late_residual > $o) > name). 0.79/0.70 thf(func_def_144, type, sK10: (pi > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_145, type, sK11: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_146, type, sK12: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_147, type, sK13: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_148, type, sK14: (pi > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_149, type, sK15: (late_freeRes > late_residual > $o) > pi). 0.79/0.70 thf(func_def_150, type, sK16: (late_freeRes > late_residual > $o) > name). 0.79/0.70 thf(func_def_151, type, sK17: (late_freeRes > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_152, type, sK18: (late_freeRes > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_153, type, sK19: (late_freeRes > late_residual > $o) > pi). 0.79/0.70 thf(func_def_154, type, sK20: (late_freeRes > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_155, type, sK21: (late_freeRes > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_156, type, sK22: pi > late_freeRes > pi > name > name). 0.79/0.70 thf(func_def_157, type, sK23: pi > late_freeRes > pi > name > late_freeRes). 0.79/0.70 thf(func_def_158, type, sK24: pi > late_freeRes > pi > name > pi). 0.79/0.70 thf(func_def_159, type, sK25: pi > late_freeRes > pi > name > pi). 0.79/0.70 thf(func_def_160, type, sK26: (pi > $o) > late_subject > pi > name > pi > pi). 0.79/0.70 thf(func_def_161, type, sK27: (pi > $o) > late_subject > pi > name > pi > pi). 0.79/0.70 thf(func_def_162, type, sK28: (late_subject > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_163, type, sK29: (late_subject > late_residual > $o) > pi). 0.79/0.70 thf(func_def_164, type, sK30: (late_subject > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_165, type, sK31: (late_subject > late_residual > $o) > pi). 0.79/0.70 thf(func_def_166, type, sK32: (late_subject > late_residual > $o) > name). 0.79/0.70 thf(func_def_167, type, sK33: (late_subject > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_168, type, sK34: (late_subject > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_169, type, sK35: pi > name). 0.79/0.70 thf(func_def_170, type, sK36: late_subject > name). 0.79/0.70 thf(func_def_171, type, sK37: (late_subject > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_172, type, sK38: (late_subject > late_residual > $o) > pi). 0.79/0.70 thf(func_def_173, type, sK39: (late_subject > late_residual > $o) > name). 0.79/0.70 thf(func_def_174, type, sK40: (late_subject > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_175, type, sK41: (late_subject > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_176, type, sK42: (late_subject > late_residual > $o) > pi). 0.79/0.70 thf(func_def_177, type, sK43: (late_subject > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_178, type, sK44: (pi > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_179, type, sK45: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_180, type, sK46: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_181, type, sK47: (pi > late_residual > $o) > name). 0.79/0.70 thf(func_def_182, type, sK48: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_183, type, sK49: (pi > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_184, type, sK50: (pi > late_residual > $o) > pi). 0.79/0.70 thf(func_def_185, type, sK51: (late_freeRes > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_186, type, sK52: (late_freeRes > late_residual > $o) > pi). 0.79/0.70 thf(func_def_187, type, sK53: (late_freeRes > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_188, type, sK54: (late_freeRes > late_residual > $o) > late_subject). 0.79/0.70 thf(func_def_189, type, sK55: (late_freeRes > late_residual > $o) > name). 0.79/0.70 thf(func_def_190, type, sK56: (late_freeRes > late_residual > $o) > pi). 0.79/0.70 thf(func_def_191, type, sK57: (late_freeRes > late_residual > $o) > late_freeRes). 0.79/0.70 thf(func_def_192, type, sK58: pi > pi > late_subject > name > pi > name). 0.79/0.70 thf(func_def_193, type, sK59: pi > pi > late_subject > name > pi > pi). 0.79/0.70 thf(func_def_194, type, sK60: pi > pi > late_subject > name > pi > pi). 0.79/0.70 thf(func_def_195, type, sK61: pi > pi > late_subject > name > pi > late_subject). 0.79/0.70 thf(func_def_196, type, sK62: pi > pi > late_subject > name > pi > pi). 0.79/0.70 thf(func_def_197, type, sK63: pi > pi > name > pi > late_subject > pi). 0.79/0.70 thf(func_def_198, type, sK64: pi > pi > name > pi > late_subject > name). 0.79/0.70 thf(func_def_199, type, sK65: pi > pi > name > pi > late_subject > pi). 0.79/0.70 thf(func_def_200, type, sK66: pi > pi > name > pi > late_subject > pi). 0.79/0.70 thf(func_def_201, type, sK67: pi > pi > name > pi > late_subject > late_subject). 0.79/0.70 thf(func_def_203, type, ph69: !>[X0: $tType]:(X0)). 0.79/0.70 thf(f1027,plain,( 0.79/0.70 $false), 0.79/0.70 inference(subsumption_resolution,[status(thm)],[f1026,f954])). 0.79/0.70 thf(f954,plain,( 0.79/0.70 ((late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q))) = $true)), 0.79/0.70 inference(cnf_transformation,[status(thm)],[f605])). 0.79/0.70 thf(f605,plain,( 0.79/0.70 ((late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q))) = $true)), 0.79/0.70 inference(fool_elimination,[status(thm)],[f604])). 0.79/0.70 thf(f604,plain,( 0.79/0.70 (late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q)))), 0.79/0.70 inference(rectify,[status(thm)],[f176])). 0.79/0.70 thf(f176,axiom,( 0.79/0.70 (late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q)))), 0.79/0.70 file('/export/starexec/sandbox/tmp/tmp.od1qtmkqdn/E---3.1_2879063.p',fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062)). 0.79/0.70 thf(f1026,plain,( 0.79/0.70 ((late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q))) != $true)), 0.79/0.70 inference(subsumption_resolution,[status(thm)],[f1025,f956])). 0.79/0.70 thf(f956,plain,( 0.79/0.70 ((fresh_1641682979reeRes @ x @ alpha) = $true)), 0.79/0.70 inference(cnf_transformation,[status(thm)],[f753])). 0.79/0.70 thf(f753,plain,( 0.79/0.70 ((fresh_1641682979reeRes @ x @ alpha) = $true)), 0.79/0.70 inference(fool_elimination,[status(thm)],[f752])). 0.79/0.70 thf(f752,plain,( 0.79/0.70 (fresh_1641682979reeRes @ x @ alpha)), 0.79/0.70 inference(rectify,[status(thm)],[f270])). 0.79/0.70 thf(f270,axiom,( 0.79/0.70 (fresh_1641682979reeRes @ x @ alpha)), 0.79/0.70 file('/export/starexec/sandbox/tmp/tmp.od1qtmkqdn/E---3.1_2879063.p',fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062)). 0.79/0.70 thf(f1025,plain,( 0.79/0.70 ((fresh_1641682979reeRes @ x @ alpha) != $true) | ((late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q))) != $true)), 0.79/0.70 inference(trivial_inequality_removal,[status(thm)],[f1024])). 0.79/0.70 thf(f1024,plain,( 0.79/0.70 ((late_transitions @ (par @ p @ q) @ (late_FreeR @ alpha @ (par @ p2 @ q))) != $true) | ((fresh_1641682979reeRes @ x @ alpha) != $true) | ($true != $true)), 0.79/0.70 inference(superposition,[status(thm)],[f986,f1019])). 0.79/0.70 thf(f1019,plain,( 0.79/0.70 ( ! [X2 : pi,X3 : late_freeRes,X0 : name,X1 : pi] : (($true = (late_transitions @ (res @ X0 @ X1) @ (late_FreeR @ X3 @ (res @ X0 @ X2)))) | ($true != (late_transitions @ X1 @ (late_FreeR @ X3 @ X2))) | ($true != (fresh_1641682979reeRes @ X0 @ X3))) )), 0.79/0.70 inference(cnf_transformation,[status(thm)],[f873])). 0.79/0.70 thf(f873,plain,( 0.79/0.70 ! [X0 : name,X1 : pi,X2 : pi,X3 : late_freeRes] : (($true != (fresh_1641682979reeRes @ X0 @ X3)) | ($true != (late_transitions @ X1 @ (late_FreeR @ X3 @ X2))) | ($true = (late_transitions @ (res @ X0 @ X1) @ (late_FreeR @ X3 @ (res @ X0 @ X2)))))), 0.79/0.70 inference(flattening,[status(thm)],[f872])). 0.79/0.70 thf(f872,plain,( 0.79/0.70 ! [X0 : name,X1 : pi,X2 : pi,X3 : late_freeRes] : ((($true = (late_transitions @ (res @ X0 @ X1) @ (late_FreeR @ X3 @ (res @ X0 @ X2)))) | ($true != (fresh_1641682979reeRes @ X0 @ X3))) | ($true != (late_transitions @ X1 @ (late_FreeR @ X3 @ X2))))), 0.79/0.70 inference(ennf_transformation,[status(thm)],[f419])). 0.79/0.70 thf(f419,plain,( 0.79/0.70 ! [X0 : name,X1 : pi,X2 : pi,X3 : late_freeRes] : (($true = (late_transitions @ X1 @ (late_FreeR @ X3 @ X2))) => (($true = (fresh_1641682979reeRes @ X0 @ X3)) => ($true = (late_transitions @ (res @ X0 @ X1) @ (late_FreeR @ X3 @ (res @ X0 @ X2))))))), 0.79/0.70 inference(fool_elimination,[status(thm)],[f418])). 0.79/0.70 thf(f418,plain,( 0.79/0.70 ! [X0 : name,X1 : pi,X2 : pi,X3 : late_freeRes] : ((late_transitions @ X1 @ (late_FreeR @ X3 @ X2)) => ((fresh_1641682979reeRes @ X0 @ X3) => (late_transitions @ (res @ X0 @ X1) @ (late_FreeR @ X3 @ (res @ X0 @ X2)))))), 0.79/0.70 inference(rectify,[status(thm)],[f21])). 0.79/0.70 thf(f21,axiom,( 0.79/0.70 ! [X34 : name,X0 : pi,X13 : pi,X35 : late_freeRes] : ((late_transitions @ X0 @ (late_FreeR @ X35 @ X13)) => ((fresh_1641682979reeRes @ X34 @ X35) => (late_transitions @ (res @ X34 @ X0) @ (late_FreeR @ X35 @ (res @ X34 @ X13)))))), 0.79/0.70 file('/export/starexec/sandbox/tmp/tmp.od1qtmkqdn/E---3.1_2879063.p',fact_11_ResF)). 0.79/0.70 thf(f986,plain,( 0.79/0.70 ((late_transitions @ (res @ x @ (par @ p @ q)) @ (late_FreeR @ alpha @ (res @ x @ (par @ p2 @ q)))) != $true)), 0.79/0.70 inference(cnf_transformation,[status(thm)],[f836])). 0.79/0.70 thf(f836,plain,( 0.79/0.70 ((late_transitions @ (res @ x @ (par @ p @ q)) @ (late_FreeR @ alpha @ (res @ x @ (par @ p2 @ q)))) != $true)), 0.79/0.70 inference(flattening,[status(thm)],[f821])). 0.79/0.70 thf(f821,plain,( 0.79/0.70 ~((late_transitions @ (res @ x @ (par @ p @ q)) @ (late_FreeR @ alpha @ (res @ x @ (par @ p2 @ q)))) = $true)), 0.79/0.70 inference(fool_elimination,[status(thm)],[f820])). 0.79/0.70 thf(f820,plain,( 0.79/0.70 ~(late_transitions @ (res @ x @ (par @ p @ q)) @ (late_FreeR @ alpha @ (res @ x @ (par @ p2 @ q))))), 0.79/0.70 inference(rectify,[status(thm)],[f96])). 0.79/0.70 thf(f96,negated_conjecture,( 0.79/0.70 ~(late_transitions @ (res @ x @ (par @ p @ q)) @ (late_FreeR @ alpha @ (res @ x @ (par @ p2 @ q))))), 0.79/0.70 inference(negated_conjecture,[status(cth)],[f95])). 0.79/0.70 thf(f95,conjecture,( 0.79/0.70 (late_transitions @ (res @ x @ (par @ p @ q)) @ (late_FreeR @ alpha @ (res @ x @ (par @ p2 @ q))))), 0.79/0.70 file('/export/starexec/sandbox/tmp/tmp.od1qtmkqdn/E---3.1_2879063.p',conj_0)). 0.79/0.70 % SZS output end Proof for E---3.1_2879063 0.79/0.70 % (2879112)------------------------------ 0.79/0.70 % (2879112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.70 % (2879112)Termination reason: Refutation 0.79/0.70 0.79/0.70 % (2879112)Memory used [KB]: 7036 0.79/0.70 % (2879112)Time elapsed: 0.088 s 0.79/0.70 % (2879112)Instructions burned: 85 (million) 0.79/0.70 % (2879112)------------------------------ 0.79/0.70 % (2879112)------------------------------ 0.79/0.70 % (2879106)Success in time 0.151 s 0.79/0.70 EOF