0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n020.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 03:38:04 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.34 This is a THF_ problem 0.11/0.35 Running higher-order theorem proving 0.19/0.40 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.a0tMfLGZG5/E---3.1_5175.p -m 16384 -t 240 0.19/0.45 % (5282)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_5175 for (2399ds/183Mi) 0.19/0.45 % (5286)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_5175 for (2399ds/2Mi) 0.19/0.45 % (5285)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_5175 for (2399ds/2Mi) 0.19/0.45 % (5283)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_5175 for (2399ds/4Mi) 0.19/0.45 % (5284)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_5175 for (2399ds/27Mi) 0.19/0.45 % (5287)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_5175 for (2399ds/275Mi) 0.19/0.45 % (5288)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_5175 for (2399ds/18Mi) 0.19/0.45 % (5285)Instruction limit reached! 0.19/0.45 % (5285)------------------------------ 0.19/0.45 % (5285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.45 % (5285)Termination reason: Unknown 0.19/0.45 % (5285)Termination phase: shuffling 0.19/0.45 0.19/0.45 % (5286)Instruction limit reached! 0.19/0.45 % (5286)------------------------------ 0.19/0.45 % (5286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.45 % (5286)Termination reason: Unknown 0.19/0.45 % (5286)Termination phase: shuffling 0.19/0.45 0.19/0.45 % (5286)Memory used [KB]: 1535 0.19/0.45 % (5286)Time elapsed: 0.004 s 0.19/0.45 % (5286)Instructions burned: 3 (million) 0.19/0.45 % (5286)------------------------------ 0.19/0.45 % (5286)------------------------------ 0.19/0.45 % (5285)Memory used [KB]: 1535 0.19/0.45 % (5285)Time elapsed: 0.004 s 0.19/0.45 % (5285)Instructions burned: 2 (million) 0.19/0.45 % (5285)------------------------------ 0.19/0.45 % (5285)------------------------------ 0.19/0.45 % (5283)Instruction limit reached! 0.19/0.45 % (5283)------------------------------ 0.19/0.45 % (5283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.45 % (5283)Termination reason: Unknown 0.19/0.45 % (5283)Termination phase: shuffling 0.19/0.45 0.19/0.45 % (5283)Memory used [KB]: 1663 0.19/0.45 % (5283)Time elapsed: 0.005 s 0.19/0.45 % (5283)Instructions burned: 4 (million) 0.19/0.45 % (5283)------------------------------ 0.19/0.45 % (5283)------------------------------ 0.19/0.46 % (5288)Instruction limit reached! 0.19/0.46 % (5288)------------------------------ 0.19/0.46 % (5288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.19/0.46 % (5288)Termination reason: Unknown 0.19/0.46 % (5288)Termination phase: shuffling 0.19/0.46 0.19/0.46 % (5288)Memory used [KB]: 1918 0.19/0.46 % (5288)Time elapsed: 0.013 s 0.19/0.46 % (5288)Instructions burned: 18 (million) 0.19/0.46 % (5288)------------------------------ 0.19/0.46 % (5288)------------------------------ 0.26/0.46 % (5284)Instruction limit reached! 0.26/0.46 % (5284)------------------------------ 0.26/0.46 % (5284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.46 % (5284)Termination reason: Unknown 0.26/0.46 % (5284)Termination phase: Property scanning 0.26/0.46 0.26/0.46 % (5284)Memory used [KB]: 2046 0.26/0.46 % (5284)Time elapsed: 0.018 s 0.26/0.46 % (5284)Instructions burned: 27 (million) 0.26/0.46 % (5284)------------------------------ 0.26/0.46 % (5284)------------------------------ 0.26/0.47 % (5289)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_5175 for (2399ds/3Mi) 0.26/0.47 % (5290)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_5175 for (2399ds/37Mi) 0.26/0.47 % (5291)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_5175 for (2399ds/15Mi) 0.26/0.47 % (5289)Instruction limit reached! 0.26/0.47 % (5289)------------------------------ 0.26/0.47 % (5289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (5289)Termination reason: Unknown 0.26/0.47 % (5289)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (5289)Memory used [KB]: 1535 0.26/0.47 % (5289)Time elapsed: 0.004 s 0.26/0.47 % (5289)Instructions burned: 3 (million) 0.26/0.47 % (5289)------------------------------ 0.26/0.47 % (5289)------------------------------ 0.26/0.47 % (5287)First to succeed. 0.26/0.47 % (5287)Refutation found. Thanks to Tanya! 0.26/0.47 % SZS status Theorem for E---3.1_5175 0.26/0.47 % SZS output start Proof for E---3.1_5175 0.26/0.47 thf(type_def_5, type, produc190496183real_c: $tType). 0.26/0.47 thf(type_def_6, type, set_Sum_sum_c_c: $tType). 0.26/0.47 thf(type_def_8, type, produc1149990247eal_sz: $tType). 0.26/0.47 thf(type_def_9, type, set_Sum_sum_sz_sz: $tType). 0.26/0.47 thf(type_def_10, type, denota231621370t_unit: $tType). 0.26/0.47 thf(type_def_11, type, trm_a_c: $tType). 0.26/0.47 thf(type_def_12, type, real: $tType). 0.26/0.47 thf(type_def_13, type, finite1398487019real_c: $tType). 0.26/0.47 thf(type_def_14, type, frechet_strm_a_c: $tType). 0.26/0.47 thf(type_def_15, type, trm_sf_sz: $tType). 0.26/0.47 thf(type_def_16, type, frechet_strm_sf_sz: $tType). 0.26/0.47 thf(type_def_17, type, produc99145217real_c: $tType). 0.26/0.47 thf(type_def_18, type, produc133347448c_real: $tType). 0.26/0.47 thf(type_def_19, type, produc1952288593real_c: $tType). 0.26/0.47 thf(type_def_20, type, produc640052711real_c: $tType). 0.26/0.47 thf(type_def_21, type, produc906325778c_real: $tType). 0.26/0.47 thf(type_def_22, type, produc1471603704real_c: $tType). 0.26/0.47 thf(type_def_23, type, produc1295591296real_c: $tType). 0.26/0.47 thf(type_def_24, type, produc957004601l_real: $tType). 0.26/0.47 thf(type_def_25, type, sz: $tType). 0.26/0.47 thf(type_def_26, type, sf: $tType). 0.26/0.47 thf(type_def_27, type, sc: $tType). 0.26/0.47 thf(type_def_28, type, produc802386618_set_c: $tType). 0.26/0.47 thf(type_def_29, type, produc189019228set_sz: $tType). 0.26/0.47 thf(type_def_30, type, produc1299700144real_c: $tType). 0.26/0.47 thf(type_def_31, type, produc621499498um_c_c: $tType). 0.26/0.47 thf(type_def_32, type, produc756982951_set_c: $tType). 0.26/0.47 thf(type_def_33, type, produc313687471set_sz: $tType). 0.26/0.47 thf(type_def_34, type, produc729314338real_c: $tType). 0.26/0.47 thf(type_def_35, type, produc44682460um_c_c: $tType). 0.26/0.47 thf(type_def_36, type, produc1631500469_set_c: $tType). 0.26/0.47 thf(type_def_37, type, produc2057661729set_sz: $tType). 0.26/0.47 thf(type_def_38, type, set_Fi1407883041real_c: $tType). 0.26/0.47 thf(type_def_39, type, set_Pr1389752855real_c: $tType). 0.26/0.47 thf(type_def_40, type, set_c: $tType). 0.26/0.47 thf(type_def_41, type, set_sz: $tType). 0.26/0.47 thf(type_def_42, type, denota610675952t_unit: $tType). 0.26/0.47 thf(type_def_43, type, produc866628903_sc_sz: $tType). 0.26/0.47 thf(type_def_44, type, produc1821101996_sc_sz: $tType). 0.26/0.47 thf(type_def_45, type, finite824932053eal_sz: $tType). 0.26/0.47 thf(type_def_46, type, list_f1238882004_sc_sz: $tType). 0.26/0.47 thf(type_def_47, type, produc999471430t_unit: $tType). 0.26/0.47 thf(type_def_48, type, produc861709536_sz_sz: $tType). 0.26/0.47 thf(type_def_49, type, set_Pr2041213564t_unit: $tType). 0.26/0.47 thf(type_def_50, type, set_trm_a_c: $tType). 0.26/0.47 thf(type_def_51, type, set_trm_sf_sz: $tType). 0.26/0.47 thf(type_def_52, type, a: $tType). 0.26/0.47 thf(type_def_53, type, set_a: $tType). 0.26/0.47 thf(type_def_54, type, set_sf: $tType). 0.26/0.47 thf(type_def_55, type, set_Pr1169339874_sc_sz: $tType). 0.26/0.47 thf(type_def_56, type, c: $tType). 0.26/0.47 thf(type_def_57, type, formula_sf_sc_sz: $tType). 0.26/0.47 thf(func_def_0, type, produc640052711real_c: $tType). 0.26/0.47 thf(func_def_1, type, set_Pr2041213564t_unit: $tType). 0.26/0.47 thf(func_def_2, type, set_Pr1169339874_sc_sz: $tType). 0.26/0.47 thf(func_def_3, type, produc999471430t_unit: $tType). 0.26/0.47 thf(func_def_4, type, produc1821101996_sc_sz: $tType). 0.26/0.47 thf(func_def_5, type, produc1952288593real_c: $tType). 0.26/0.47 thf(func_def_6, type, produc99145217real_c: $tType). 0.26/0.47 thf(func_def_7, type, produc1295591296real_c: $tType). 0.26/0.47 thf(func_def_8, type, produc906325778c_real: $tType). 0.26/0.47 thf(func_def_9, type, set_Pr1389752855real_c: $tType). 0.26/0.47 thf(func_def_10, type, produc1149990247eal_sz: $tType). 0.26/0.47 thf(func_def_11, type, produc190496183real_c: $tType). 0.26/0.47 thf(func_def_12, type, produc866628903_sc_sz: $tType). 0.26/0.47 thf(func_def_13, type, produc729314338real_c: $tType). 0.26/0.47 thf(func_def_14, type, produc1299700144real_c: $tType). 0.26/0.47 thf(func_def_15, type, produc1471603704real_c: $tType). 0.26/0.47 thf(func_def_16, type, produc133347448c_real: $tType). 0.26/0.47 thf(func_def_17, type, denota610675952t_unit: $tType). 0.26/0.47 thf(func_def_18, type, produc44682460um_c_c: $tType). 0.26/0.47 thf(func_def_19, type, produc189019228set_sz: $tType). 0.26/0.47 thf(func_def_20, type, produc621499498um_c_c: $tType). 0.26/0.47 thf(func_def_21, type, produc802386618_set_c: $tType). 0.26/0.47 thf(func_def_22, type, denota231621370t_unit: $tType). 0.26/0.47 thf(func_def_23, type, set_Fi1407883041real_c: $tType). 0.26/0.47 thf(func_def_24, type, produc2057661729set_sz: $tType). 0.26/0.47 thf(func_def_25, type, produc1631500469_set_c: $tType). 0.26/0.47 thf(func_def_26, type, produc313687471set_sz: $tType). 0.26/0.47 thf(func_def_27, type, produc756982951_set_c: $tType). 0.26/0.47 thf(func_def_28, type, produc861709536_sz_sz: $tType). 0.26/0.47 thf(func_def_29, type, finite824932053eal_sz: $tType). 0.26/0.47 thf(func_def_30, type, finite1398487019real_c: $tType). 0.26/0.47 thf(func_def_31, type, list_f1238882004_sc_sz: $tType). 0.26/0.47 thf(func_def_32, type, produc957004601l_real: $tType). 0.26/0.47 thf(func_def_33, type, frechet_strm_sf_sz: $tType). 0.26/0.47 thf(func_def_34, type, set_Sum_sum_sz_sz: $tType). 0.26/0.47 thf(func_def_35, type, frechet_strm_a_c: $tType). 0.26/0.47 thf(func_def_36, type, set_Sum_sum_c_c: $tType). 0.26/0.47 thf(func_def_37, type, set_trm_sf_sz: $tType). 0.26/0.47 thf(func_def_38, type, set_trm_a_c: $tType). 0.26/0.47 thf(func_def_39, type, formula_sf_sc_sz: $tType). 0.26/0.47 thf(func_def_40, type, trm_sf_sz: $tType). 0.26/0.47 thf(func_def_41, type, trm_a_c: $tType). 0.26/0.47 thf(func_def_42, type, set_sz: $tType). 0.26/0.47 thf(func_def_43, type, set_sf: $tType). 0.26/0.47 thf(func_def_44, type, set_c: $tType). 0.26/0.47 thf(func_def_45, type, set_a: $tType). 0.26/0.47 thf(func_def_46, type, real: $tType). 0.26/0.47 thf(func_def_47, type, sz: $tType). 0.26/0.47 thf(func_def_48, type, sf: $tType). 0.26/0.47 thf(func_def_49, type, sc: $tType). 0.26/0.47 thf(func_def_50, type, c: $tType). 0.26/0.47 thf(func_def_51, type, a: $tType). 0.26/0.47 thf(func_def_52, type, denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o). 0.26/0.47 thf(func_def_53, type, denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o). 0.26/0.47 thf(func_def_54, type, denota2112424896_a_b_c: denota231621370t_unit > trm_a_c > produc190496183real_c > real). 0.26/0.47 thf(func_def_55, type, denota229585092_a_b_c: denota231621370t_unit > trm_a_c > finite1398487019real_c > finite1398487019real_c > real). 0.26/0.47 thf(func_def_56, type, frechet_cr_strm_a_c: trm_a_c > frechet_strm_a_c > $o). 0.26/0.47 thf(func_def_57, type, freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o). 0.26/0.47 thf(func_def_58, type, zero_z109254132real_c: finite1398487019real_c). 0.26/0.47 thf(func_def_59, type, zero_z1506780526real_c: produc190496183real_c). 0.26/0.47 thf(func_def_60, type, zero_z735295626real_c: produc99145217real_c). 0.26/0.47 thf(func_def_61, type, zero_z1273814959c_real: produc133347448c_real). 0.26/0.47 thf(func_def_62, type, zero_z440955354real_c: produc1952288593real_c). 0.26/0.47 thf(func_def_63, type, zero_z993734942real_c: produc640052711real_c). 0.26/0.47 thf(func_def_64, type, zero_z1830236699c_real: produc906325778c_real). 0.26/0.47 thf(func_def_65, type, zero_z464587567real_c: produc1471603704real_c). 0.26/0.47 thf(func_def_66, type, zero_z72018569real_c: produc1295591296real_c). 0.26/0.47 thf(func_def_67, type, zero_z659284464l_real: produc957004601l_real). 0.26/0.47 thf(func_def_68, type, zero_zero_real: real). 0.26/0.47 thf(func_def_69, type, ids_sz_sf_sc: sz > sz > sz > sf > sf > sf > sc > sc > sc > sc > $o). 0.26/0.47 thf(func_def_70, type, if_trm_sf_sz: $o > trm_sf_sz > trm_sf_sz > trm_sf_sz). 0.26/0.47 thf(func_def_71, type, top_to1309524330_set_c: produc802386618_set_c). 0.26/0.47 thf(func_def_72, type, top_to1246597548set_sz: produc189019228set_sz). 0.26/0.47 thf(func_def_73, type, top_to1783191648real_c: produc1299700144real_c). 0.26/0.47 thf(func_def_74, type, top_to1128637210um_c_c: produc621499498um_c_c). 0.26/0.47 thf(func_def_75, type, top_to543326711_set_c: produc756982951_set_c). 0.26/0.47 thf(func_def_76, type, top_to1303770207set_sz: produc313687471set_sz). 0.26/0.47 thf(func_def_77, type, top_to1102487922real_c: produc729314338real_c). 0.26/0.47 thf(func_def_78, type, top_to1102260780um_c_c: produc44682460um_c_c). 0.26/0.47 thf(func_def_79, type, top_to474099557_set_c: produc1631500469_set_c). 0.26/0.47 thf(func_def_80, type, top_to1999610481set_sz: produc2057661729set_sz). 0.26/0.47 thf(func_def_81, type, top_to1642137041real_c: set_Fi1407883041real_c). 0.26/0.47 thf(func_def_82, type, top_to226056039real_c: set_Pr1389752855real_c). 0.26/0.47 thf(func_def_83, type, top_to1660572043um_c_c: set_Sum_sum_c_c). 0.26/0.47 thf(func_def_84, type, top_to1246370329_sz_sz: set_Sum_sum_sz_sz). 0.26/0.47 thf(func_def_85, type, top_top_set_c: set_c). 0.26/0.47 thf(func_def_86, type, top_top_set_sz: set_sz). 0.26/0.47 thf(func_def_87, type, produc789536734_sc_sz: denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz). 0.26/0.47 thf(func_def_88, type, produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c). 0.26/0.47 thf(func_def_89, type, produc1563404851real_c: finite1398487019real_c > produc190496183real_c > produc99145217real_c). 0.26/0.47 thf(func_def_90, type, produc1715747632c_real: finite1398487019real_c > real > produc133347448c_real). 0.26/0.47 thf(func_def_91, type, produc1308130519eal_sz: finite824932053eal_sz > finite824932053eal_sz > produc1149990247eal_sz). 0.26/0.47 thf(func_def_92, type, produc1822718231_sc_sz: list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc866628903_sc_sz). 0.26/0.47 thf(func_def_93, type, produc116546123real_c: produc190496183real_c > finite1398487019real_c > produc1952288593real_c). 0.26/0.47 thf(func_def_94, type, produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c). 0.26/0.47 thf(func_def_95, type, produc171591948c_real: produc190496183real_c > real > produc906325778c_real). 0.26/0.47 thf(func_def_96, type, produc502616768t_unit: produc866628903_sc_sz > denota610675952t_unit > produc999471430t_unit). 0.26/0.47 thf(func_def_97, type, produc1327150128real_c: real > finite1398487019real_c > produc1471603704real_c). 0.26/0.47 thf(func_def_98, type, produc2134005810real_c: real > produc190496183real_c > produc1295591296real_c). 0.26/0.47 thf(func_def_99, type, produc705216881l_real: real > real > produc957004601l_real). 0.26/0.47 thf(func_def_100, type, produc1767696108_set_c: set_Sum_sum_c_c > set_c > produc802386618_set_c). 0.26/0.47 thf(func_def_101, type, produc1251379220set_sz: set_Sum_sum_c_c > set_sz > produc189019228set_sz). 0.26/0.47 thf(func_def_102, type, produc280329770real_c: set_c > set_Fi1407883041real_c > produc1299700144real_c). 0.26/0.47 thf(func_def_103, type, produc1519884516um_c_c: set_c > set_Sum_sum_c_c > produc621499498um_c_c). 0.26/0.47 thf(func_def_104, type, produc878845847_set_c: set_c > set_c > produc756982951_set_c). 0.26/0.47 thf(func_def_105, type, produc2039118377set_sz: set_c > set_sz > produc313687471set_sz). 0.26/0.47 thf(func_def_106, type, produc1915663706real_c: set_sz > set_Fi1407883041real_c > produc729314338real_c). 0.26/0.47 thf(func_def_107, type, produc590684180um_c_c: set_sz > set_Sum_sum_c_c > produc44682460um_c_c). 0.26/0.47 thf(func_def_108, type, produc760013927_set_c: set_sz > set_c > produc1631500469_set_c). 0.26/0.47 thf(func_def_109, type, produc2156889set_sz: set_sz > set_sz > produc2057661729set_sz). 0.26/0.47 thf(func_def_110, type, produc792909658_sz_sz: trm_sf_sz > sz > produc861709536_sz_sz). 0.26/0.47 thf(func_def_111, type, produc403791768_sc_sz: (denota610675952t_unit > denota610675952t_unit) > (produc866628903_sc_sz > produc866628903_sc_sz) > produc1821101996_sc_sz > produc1821101996_sc_sz). 0.26/0.47 thf(func_def_112, type, produc368345510real_c: (finite1398487019real_c > finite1398487019real_c) > (finite1398487019real_c > finite1398487019real_c) > produc190496183real_c > produc190496183real_c). 0.26/0.47 thf(func_def_113, type, produc1503602930_sc_sz: produc1821101996_sc_sz > denota610675952t_unit). 0.26/0.47 thf(func_def_114, type, produc2010422875real_c: produc190496183real_c > finite1398487019real_c). 0.26/0.47 thf(func_def_115, type, produc548504323_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz). 0.26/0.47 thf(func_def_116, type, produc1216682964t_unit: produc999471430t_unit > produc866628903_sc_sz). 0.26/0.47 thf(func_def_117, type, produc2069561454_sz_sz: produc861709536_sz_sz > trm_sf_sz). 0.26/0.47 thf(func_def_118, type, produc974239792_sc_sz: produc1821101996_sc_sz > produc866628903_sc_sz). 0.26/0.47 thf(func_def_119, type, produc314122909real_c: produc190496183real_c > finite1398487019real_c). 0.26/0.47 thf(func_def_120, type, produc4753477_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz). 0.26/0.47 thf(func_def_121, type, produc687319826t_unit: produc999471430t_unit > denota610675952t_unit). 0.26/0.47 thf(func_def_122, type, produc181739436_sz_sz: produc861709536_sz_sz > sz). 0.26/0.47 thf(func_def_123, type, produc532048446_sc_sz: produc1821101996_sc_sz > produc999471430t_unit). 0.26/0.47 thf(func_def_124, type, produc704157711real_c: produc190496183real_c > produc190496183real_c). 0.26/0.47 thf(func_def_125, type, produc245128480t_unit: produc999471430t_unit > produc1821101996_sc_sz). 0.26/0.47 thf(func_def_126, type, domain2047240575rm_a_c: (trm_a_c > frechet_strm_a_c > $o) > trm_a_c > $o). 0.26/0.47 thf(func_def_127, type, domain512309999_sf_sz: (trm_sf_sz > frechet_strm_sf_sz > $o) > trm_sf_sz > $o). 0.26/0.47 thf(func_def_128, type, collec377961627t_unit: (produc999471430t_unit > $o) > set_Pr2041213564t_unit). 0.26/0.47 thf(func_def_129, type, collect_trm_a_c: (trm_a_c > $o) > set_trm_a_c). 0.26/0.47 thf(func_def_130, type, collect_trm_sf_sz: (trm_sf_sz > $o) > set_trm_sf_sz). 0.26/0.47 thf(func_def_131, type, collect_a: (a > $o) > set_a). 0.26/0.47 thf(func_def_132, type, collect_sf: (sf > $o) > set_sf). 0.26/0.47 thf(func_def_133, type, image_1726193375_sc_sz: (produc1821101996_sc_sz > produc1821101996_sc_sz) > set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz). 0.26/0.47 thf(func_def_134, type, image_904562809t_unit: (produc1821101996_sc_sz > produc999471430t_unit) > set_Pr1169339874_sc_sz > set_Pr2041213564t_unit). 0.26/0.47 thf(func_def_135, type, image_14429021real_c: (produc190496183real_c > finite1398487019real_c) > set_Pr1389752855real_c > set_Fi1407883041real_c). 0.26/0.47 thf(func_def_136, type, image_1426741113_sc_sz: (produc999471430t_unit > produc1821101996_sc_sz) > set_Pr2041213564t_unit > set_Pr1169339874_sc_sz). 0.26/0.47 thf(func_def_137, type, image_c_trm_a_c: (c > trm_a_c) > set_c > set_trm_a_c). 0.26/0.47 thf(func_def_138, type, image_sz_trm_sf_sz: (sz > trm_sf_sz) > set_sz > set_trm_sf_sz). 0.26/0.47 thf(func_def_139, type, static_FVDiff_a_c: trm_a_c > set_Sum_sum_c_c). 0.26/0.47 thf(func_def_140, type, static_FVDiff_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz). 0.26/0.47 thf(func_def_141, type, predic913887884_sf_sz: sc > formula_sf_sc_sz). 0.26/0.47 thf(func_def_142, type, dfree_a_c: trm_a_c > $o). 0.26/0.47 thf(func_def_143, type, dfree_sf_sz: trm_sf_sz > $o). 0.26/0.47 thf(func_def_144, type, dsafe_a_c: trm_a_c > $o). 0.26/0.47 thf(func_def_145, type, dsafe_sf_sz: trm_sf_sz > $o). 0.26/0.47 thf(func_def_146, type, ffree_sf_sc_sz: formula_sf_sc_sz > $o). 0.26/0.47 thf(func_def_147, type, prop_sz_sf_sc: sz > (sz > trm_sf_sz) > formula_sf_sc_sz). 0.26/0.47 thf(func_def_148, type, set1_f989022726_sc_sz: formula_sf_sc_sz > set_sf). 0.26/0.47 thf(func_def_149, type, p_sc_sf_sz: sc > formula_sf_sc_sz). 0.26/0.47 thf(func_def_150, type, empty_c_a: c > trm_a_c). 0.26/0.47 thf(func_def_151, type, empty_sz_sf: sz > trm_sf_sz). 0.26/0.47 thf(func_def_152, type, f0_sf_sz: sf > trm_sf_sz). 0.26/0.47 thf(func_def_153, type, f1_sz_sf: sz > sf > sz > trm_sf_sz). 0.26/0.47 thf(func_def_154, type, p1_sz_sf_sc: sz > sz > sz > formula_sf_sc_sz). 0.26/0.47 thf(func_def_155, type, singleton_sz_sf: sz > trm_sf_sz > sz > trm_sf_sz). 0.26/0.47 thf(func_def_156, type, singleton_rel_sf_sz: produc861709536_sz_sz > produc861709536_sz_sz > $o). 0.26/0.47 thf(func_def_157, type, const_a_c: real > trm_a_c). 0.26/0.47 thf(func_def_158, type, const_sf_sz: real > trm_sf_sz). 0.26/0.47 thf(func_def_159, type, diffVar_c_a: c > trm_a_c). 0.26/0.47 thf(func_def_160, type, diffVar_sz_sf: sz > trm_sf_sz). 0.26/0.47 thf(func_def_161, type, differential_a_c: trm_a_c > trm_a_c). 0.26/0.47 thf(func_def_162, type, differential_sf_sz: trm_sf_sz > trm_sf_sz). 0.26/0.47 thf(func_def_163, type, function_a_c: a > (c > trm_a_c) > trm_a_c). 0.26/0.47 thf(func_def_164, type, function_sf_sz: sf > (sz > trm_sf_sz) > trm_sf_sz). 0.26/0.47 thf(func_def_165, type, plus_a_c: trm_a_c > trm_a_c > trm_a_c). 0.26/0.47 thf(func_def_166, type, plus_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz). 0.26/0.47 thf(func_def_167, type, times_a_c: trm_a_c > trm_a_c > trm_a_c). 0.26/0.47 thf(func_def_168, type, times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz). 0.26/0.47 thf(func_def_169, type, var_c_a: c > trm_a_c). 0.26/0.47 thf(func_def_170, type, var_sz_sf: sz > trm_sf_sz). 0.26/0.47 thf(func_def_171, type, set_trm_a_c2: trm_a_c > set_a). 0.26/0.47 thf(func_def_172, type, set_trm_sf_sz2: trm_sf_sz > set_sf). 0.26/0.47 thf(func_def_173, type, left_u968903956rm_a_c: (trm_a_c > frechet_strm_a_c > $o) > $o). 0.26/0.47 thf(func_def_174, type, left_u638806404_sf_sz: (trm_sf_sz > frechet_strm_sf_sz > $o) > $o). 0.26/0.47 thf(func_def_175, type, right_1933252621rm_a_c: (trm_a_c > frechet_strm_a_c > $o) > $o). 0.26/0.47 thf(func_def_176, type, right_963419005_sf_sz: (trm_sf_sz > frechet_strm_sf_sz > $o) > $o). 0.26/0.47 thf(func_def_177, type, accp_P529224471_sz_sz: (produc861709536_sz_sz > produc861709536_sz_sz > $o) > produc861709536_sz_sz > $o). 0.26/0.47 thf(func_def_178, type, member1057565379_sc_sz: produc1821101996_sc_sz > set_Pr1169339874_sc_sz > $o). 0.26/0.47 thf(func_def_179, type, member235934813t_unit: produc999471430t_unit > set_Pr2041213564t_unit > $o). 0.26/0.47 thf(func_def_180, type, member_trm_a_c: trm_a_c > set_trm_a_c > $o). 0.26/0.47 thf(func_def_181, type, member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o). 0.26/0.47 thf(func_def_182, type, member_a: a > set_a > $o). 0.26/0.47 thf(func_def_183, type, member_sf: sf > set_sf > $o). 0.26/0.47 thf(func_def_184, type, i: denota231621370t_unit). 0.26/0.47 thf(func_def_185, type, nu: produc190496183real_c). 0.26/0.47 thf(func_def_186, type, nu2: produc190496183real_c). 0.26/0.47 thf(func_def_187, type, args: c > trm_a_c). 0.26/0.47 thf(func_def_188, type, i2: c). 0.26/0.47 thf(func_def_189, type, var: a). 0.26/0.47 thf(func_def_190, type, vid1: sz). 0.26/0.47 thf(func_def_191, type, vid2: sz). 0.26/0.47 thf(func_def_192, type, vid3: sz). 0.26/0.47 thf(f743,plain,( 0.26/0.47 $false), 0.26/0.47 inference(subsumption_resolution,[status(thm)],[f741,f739])). 0.26/0.47 thf(f739,plain,( 0.26/0.47 ( ! [X0 : c] : (($true = (dfree_a_c @ (args @ X0)))) )), 0.26/0.47 inference(cnf_transformation,[status(thm)],[f633])). 0.26/0.47 thf(f633,plain,( 0.26/0.47 ! [X0 : c] : ($true = (dfree_a_c @ (args @ X0)))), 0.26/0.47 inference(fool_elimination,[status(thm)],[f632])). 0.26/0.47 thf(f632,plain,( 0.26/0.47 ! [X0 : c] : (dfree_a_c @ (args @ X0))), 0.26/0.47 inference(rectify,[status(thm)],[f253])). 0.26/0.47 thf(f253,axiom,( 0.26/0.47 ! [X24 : c] : (dfree_a_c @ (args @ X24))), 0.26/0.47 file('/export/starexec/sandbox/tmp/tmp.a0tMfLGZG5/E---3.1_5175.p',fact_0_free)). 0.26/0.47 thf(f741,plain,( 0.26/0.47 ((dfree_a_c @ (args @ i2)) != $true)), 0.26/0.47 inference(cnf_transformation,[status(thm)],[f736])). 0.26/0.47 thf(f736,plain,( 0.26/0.47 ((dfree_a_c @ (args @ i2)) != $true)), 0.26/0.47 inference(flattening,[status(thm)],[f565])). 0.26/0.47 thf(f565,plain,( 0.26/0.47 ~((dfree_a_c @ (args @ i2)) = $true)), 0.26/0.47 inference(fool_elimination,[status(thm)],[f564])). 0.26/0.47 thf(f564,plain,( 0.26/0.47 ~(dfree_a_c @ (args @ i2))), 0.26/0.47 inference(rectify,[status(thm)],[f40])). 0.26/0.47 thf(f40,negated_conjecture,( 0.26/0.47 ~(dfree_a_c @ (args @ i2))), 0.26/0.47 inference(negated_conjecture,[status(cth)],[f39])). 0.26/0.47 thf(f39,conjecture,( 0.26/0.47 (dfree_a_c @ (args @ i2))), 0.26/0.47 file('/export/starexec/sandbox/tmp/tmp.a0tMfLGZG5/E---3.1_5175.p',conj_0)). 0.26/0.47 % SZS output end Proof for E---3.1_5175 0.26/0.47 % (5287)------------------------------ 0.26/0.47 % (5287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (5287)Termination reason: Refutation 0.26/0.47 0.26/0.47 % (5287)Memory used [KB]: 6652 0.26/0.47 % (5287)Time elapsed: 0.025 s 0.26/0.47 % (5287)Instructions burned: 38 (million) 0.26/0.47 % (5287)------------------------------ 0.26/0.47 % (5287)------------------------------ 0.26/0.47 % (5281)Success in time 0.05 s 0.26/0.48 EOF