0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n008.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 06:02:24 EDT 2024 0.12/0.34 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.22/0.42 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.NVaxRbbyIj/E---3.1_9608.p -m 16384 -t 180 0.27/0.46 % (9846)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_9608 for (1799ds/183Mi) 0.27/0.46 % (9849)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_9608 for (1799ds/2Mi) 0.27/0.46 % (9848)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_9608 for (1799ds/27Mi) 0.27/0.46 % (9850)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_9608 for (1799ds/2Mi) 0.27/0.46 % (9847)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_9608 for (1799ds/4Mi) 0.27/0.46 % (9851)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_9608 for (1799ds/275Mi) 0.27/0.46 % (9852)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_9608 for (1799ds/18Mi) 0.27/0.46 % (9850)Instruction limit reached! 0.27/0.46 % (9850)------------------------------ 0.27/0.46 % (9850)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (9850)Termination reason: Unknown 0.27/0.46 % (9850)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (9850)Memory used [KB]: 1407 0.27/0.46 % (9850)Time elapsed: 0.004 s 0.27/0.46 % (9850)Instructions burned: 2 (million) 0.27/0.46 % (9850)------------------------------ 0.27/0.46 % (9850)------------------------------ 0.27/0.46 % (9849)Instruction limit reached! 0.27/0.46 % (9849)------------------------------ 0.27/0.46 % (9849)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (9849)Termination reason: Unknown 0.27/0.46 % (9849)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (9849)Memory used [KB]: 1407 0.27/0.46 % (9849)Time elapsed: 0.005 s 0.27/0.46 % (9849)Instructions burned: 3 (million) 0.27/0.46 % (9849)------------------------------ 0.27/0.46 % (9849)------------------------------ 0.27/0.46 % (9847)Instruction limit reached! 0.27/0.46 % (9847)------------------------------ 0.27/0.46 % (9847)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (9847)Termination reason: Unknown 0.27/0.46 % (9847)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (9847)Memory used [KB]: 1535 0.27/0.46 % (9847)Time elapsed: 0.005 s 0.27/0.46 % (9847)Instructions burned: 5 (million) 0.27/0.46 % (9847)------------------------------ 0.27/0.46 % (9847)------------------------------ 0.27/0.47 % (9852)Instruction limit reached! 0.27/0.47 % (9852)------------------------------ 0.27/0.47 % (9852)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (9852)Termination reason: Unknown 0.27/0.47 % (9852)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (9852)Memory used [KB]: 1791 0.27/0.47 % (9852)Time elapsed: 0.014 s 0.27/0.47 % (9852)Instructions burned: 18 (million) 0.27/0.47 % (9852)------------------------------ 0.27/0.47 % (9852)------------------------------ 0.27/0.48 % (9848)Instruction limit reached! 0.27/0.48 % (9848)------------------------------ 0.27/0.48 % (9848)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (9848)Termination reason: Unknown 0.27/0.48 % (9848)Termination phase: Property scanning 0.27/0.48 0.27/0.48 % (9848)Memory used [KB]: 1918 0.27/0.48 % (9848)Time elapsed: 0.019 s 0.27/0.48 % (9848)Instructions burned: 27 (million) 0.27/0.48 % (9848)------------------------------ 0.27/0.48 % (9848)------------------------------ 0.27/0.48 % (9853)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_9608 for (1799ds/3Mi) 0.27/0.48 % (9855)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_9608 for (1799ds/15Mi) 0.27/0.48 % (9853)Instruction limit reached! 0.27/0.48 % (9853)------------------------------ 0.27/0.48 % (9853)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (9853)Termination reason: Unknown 0.27/0.48 % (9853)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (9853)Memory used [KB]: 1535 0.27/0.48 % (9853)Time elapsed: 0.005 s 0.27/0.48 % (9853)Instructions burned: 4 (million) 0.27/0.48 % (9853)------------------------------ 0.27/0.48 % (9853)------------------------------ 0.27/0.49 % (9856)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_9608 for (1799ds/3Mi) 0.27/0.49 % (9856)Instruction limit reached! 0.27/0.49 % (9856)------------------------------ 0.27/0.49 % (9856)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (9856)Termination reason: Unknown 0.27/0.49 % (9856)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (9856)Memory used [KB]: 1535 0.27/0.49 % (9856)Time elapsed: 0.004 s 0.27/0.49 % (9856)Instructions burned: 4 (million) 0.27/0.49 % (9856)------------------------------ 0.27/0.49 % (9856)------------------------------ 0.27/0.49 % (9854)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_9608 for (1799ds/37Mi) 0.27/0.49 % (9855)Instruction limit reached! 0.27/0.49 % (9855)------------------------------ 0.27/0.49 % (9855)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (9855)Termination reason: Unknown 0.27/0.49 % (9855)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (9855)Memory used [KB]: 1791 0.27/0.49 % (9855)Time elapsed: 0.013 s 0.27/0.49 % (9855)Instructions burned: 16 (million) 0.27/0.49 % (9855)------------------------------ 0.27/0.49 % (9855)------------------------------ 0.27/0.49 % (9857)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_9608 for (1799ds/1041Mi) 0.27/0.50 % (9858)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_9608 for (1799ds/7Mi) 0.27/0.50 % (9859)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_9608 for (1799ds/16Mi) 0.27/0.50 % (9858)Instruction limit reached! 0.27/0.50 % (9858)------------------------------ 0.27/0.50 % (9858)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (9858)Termination reason: Unknown 0.27/0.50 % (9858)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (9858)Memory used [KB]: 1535 0.27/0.50 % (9858)Time elapsed: 0.007 s 0.27/0.50 % (9858)Instructions burned: 7 (million) 0.27/0.50 % (9858)------------------------------ 0.27/0.50 % (9858)------------------------------ 0.27/0.50 % (9859)Instruction limit reached! 0.27/0.50 % (9859)------------------------------ 0.27/0.50 % (9859)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (9859)Termination reason: Unknown 0.27/0.50 % (9859)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (9859)Memory used [KB]: 1791 0.27/0.50 % (9859)Time elapsed: 0.008 s 0.27/0.50 % (9859)Instructions burned: 16 (million) 0.27/0.50 % (9859)------------------------------ 0.27/0.50 % (9859)------------------------------ 0.27/0.51 % (9851)First to succeed. 0.27/0.51 % (9860)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_9608 for (1799ds/3Mi) 0.27/0.51 % (9851)Refutation found. Thanks to Tanya! 0.27/0.51 % SZS status Theorem for E---3.1_9608 0.27/0.51 % SZS output start Proof for E---3.1_9608 0.27/0.51 thf(type_def_5, type, a: $tType). 0.27/0.51 thf(type_def_7, type, c: $tType). 0.27/0.51 thf(type_def_8, type, b: $tType). 0.27/0.51 thf(type_def_9, type, set_a_a: $tType). 0.27/0.51 thf(type_def_10, type, set_a_b: $tType). 0.27/0.51 thf(type_def_11, type, set_a_c: $tType). 0.27/0.51 thf(type_def_12, type, set_c_a: $tType). 0.27/0.51 thf(type_def_13, type, set_a: $tType). 0.27/0.51 thf(type_def_14, type, set_b: $tType). 0.27/0.51 thf(type_def_15, type, set_c: $tType). 0.27/0.51 thf(func_def_0, type, set_c_a: $tType). 0.27/0.51 thf(func_def_1, type, set_a_c: $tType). 0.27/0.51 thf(func_def_2, type, set_a_b: $tType). 0.27/0.51 thf(func_def_3, type, set_a_a: $tType). 0.27/0.51 thf(func_def_4, type, set_c: $tType). 0.27/0.51 thf(func_def_5, type, set_b: $tType). 0.27/0.51 thf(func_def_6, type, set_a: $tType). 0.27/0.51 thf(func_def_7, type, c: $tType). 0.27/0.51 thf(func_def_8, type, b: $tType). 0.27/0.51 thf(func_def_9, type, a: $tType). 0.27/0.51 thf(func_def_10, type, comp_a_a_a: (a > a) > (a > a) > a > a). 0.27/0.51 thf(func_def_11, type, comp_a_a_c: (a > a) > (c > a) > c > a). 0.27/0.51 thf(func_def_12, type, comp_a_b_a: (a > b) > (a > a) > a > b). 0.27/0.51 thf(func_def_13, type, comp_a_b_b: (a > b) > (b > a) > b > b). 0.27/0.51 thf(func_def_14, type, comp_a_b_c: (a > b) > (c > a) > c > b). 0.27/0.51 thf(func_def_15, type, comp_a_c_a: (a > c) > (a > a) > a > c). 0.27/0.51 thf(func_def_16, type, comp_a_c_c: (a > c) > (c > a) > c > c). 0.27/0.51 thf(func_def_17, type, comp_b_a_a: (b > a) > (a > b) > a > a). 0.27/0.51 thf(func_def_18, type, comp_b_a_c: (b > a) > (c > b) > c > a). 0.27/0.51 thf(func_def_19, type, comp_b_b_a: (b > b) > (a > b) > a > b). 0.27/0.51 thf(func_def_20, type, comp_b_b_b: (b > b) > (b > b) > b > b). 0.27/0.51 thf(func_def_21, type, comp_b_b_c: (b > b) > (c > b) > c > b). 0.27/0.51 thf(func_def_22, type, comp_b_c_a: (b > c) > (a > b) > a > c). 0.27/0.51 thf(func_def_23, type, comp_b_c_c: (b > c) > (c > b) > c > c). 0.27/0.51 thf(func_def_24, type, comp_c_a_a: (c > a) > (a > c) > a > a). 0.27/0.51 thf(func_def_25, type, comp_c_a_b: (c > a) > (b > c) > b > a). 0.27/0.51 thf(func_def_26, type, comp_c_a_c: (c > a) > (c > c) > c > a). 0.27/0.51 thf(func_def_27, type, comp_c_b_a: (c > b) > (a > c) > a > b). 0.27/0.51 thf(func_def_28, type, comp_c_b_b: (c > b) > (b > c) > b > b). 0.27/0.51 thf(func_def_29, type, comp_c_b_c: (c > b) > (c > c) > c > b). 0.27/0.51 thf(func_def_30, type, comp_c_c_a: (c > c) > (a > c) > a > c). 0.27/0.51 thf(func_def_31, type, comp_c_c_c: (c > c) > (c > c) > c > c). 0.27/0.51 thf(func_def_32, type, inj_on_a_a_a_b: ((a > a) > a > b) > set_a_a > $o). 0.27/0.51 thf(func_def_33, type, inj_on_a_b_a_b: ((a > b) > a > b) > set_a_b > $o). 0.27/0.51 thf(func_def_34, type, inj_on_a_c_a_b: ((a > c) > a > b) > set_a_c > $o). 0.27/0.51 thf(func_def_35, type, inj_on_c_a_c_a: ((c > a) > c > a) > set_c_a > $o). 0.27/0.51 thf(func_def_36, type, inj_on_c_a_c_b: ((c > a) > c > b) > set_c_a > $o). 0.27/0.51 thf(func_def_37, type, inj_on_c_a_c_c: ((c > a) > c > c) > set_c_a > $o). 0.27/0.51 thf(func_def_38, type, inj_on_c_a_a: ((c > a) > a) > set_c_a > $o). 0.27/0.51 thf(func_def_39, type, inj_on_a_a: (a > a) > set_a > $o). 0.27/0.51 thf(func_def_40, type, inj_on_a_b: (a > b) > set_a > $o). 0.27/0.51 thf(func_def_41, type, inj_on_a_c: (a > c) > set_a > $o). 0.27/0.51 thf(func_def_42, type, inj_on_b_a: (b > a) > set_b > $o). 0.27/0.51 thf(func_def_43, type, inj_on_b_b: (b > b) > set_b > $o). 0.27/0.51 thf(func_def_44, type, inj_on_b_c: (b > c) > set_b > $o). 0.27/0.51 thf(func_def_45, type, inj_on_c_a: (c > a) > set_c > $o). 0.27/0.51 thf(func_def_46, type, inj_on_c_b: (c > b) > set_c > $o). 0.27/0.51 thf(func_def_47, type, inj_on_c_c: (c > c) > set_c > $o). 0.27/0.51 thf(func_def_48, type, sup_sup_set_c_a: set_c_a > set_c_a > set_c_a). 0.27/0.51 thf(func_def_49, type, sup_sup_set_a: set_a > set_a > set_a). 0.27/0.51 thf(func_def_50, type, sup_sup_set_b: set_b > set_b > set_b). 0.27/0.51 thf(func_def_51, type, sup_sup_set_c: set_c > set_c > set_c). 0.27/0.51 thf(func_def_52, type, top_top_set_a_a: set_a_a). 0.27/0.51 thf(func_def_53, type, top_top_set_a_b: set_a_b). 0.27/0.51 thf(func_def_54, type, top_top_set_a_c: set_a_c). 0.27/0.51 thf(func_def_55, type, top_top_set_c_a: set_c_a). 0.27/0.51 thf(func_def_56, type, top_top_set_a: set_a). 0.27/0.51 thf(func_def_57, type, top_top_set_b: set_b). 0.27/0.51 thf(func_def_58, type, top_top_set_c: set_c). 0.27/0.51 thf(func_def_59, type, collect_a: (a > $o) > set_a). 0.27/0.51 thf(func_def_60, type, image_c_a_a: ((c > a) > a) > set_c_a > set_a). 0.27/0.51 thf(func_def_61, type, image_a_a: (a > a) > set_a > set_a). 0.27/0.51 thf(func_def_62, type, image_a_b: (a > b) > set_a > set_b). 0.27/0.51 thf(func_def_63, type, image_a_c: (a > c) > set_a > set_c). 0.27/0.51 thf(func_def_64, type, image_b_a: (b > a) > set_b > set_a). 0.27/0.51 thf(func_def_65, type, image_b_b: (b > b) > set_b > set_b). 0.27/0.51 thf(func_def_66, type, image_b_c: (b > c) > set_b > set_c). 0.27/0.51 thf(func_def_67, type, image_c_c_a: (c > c > a) > set_c > set_c_a). 0.27/0.51 thf(func_def_68, type, image_c_a: (c > a) > set_c > set_a). 0.27/0.51 thf(func_def_69, type, image_c_b: (c > b) > set_c > set_b). 0.27/0.51 thf(func_def_70, type, image_c_c: (c > c) > set_c > set_c). 0.27/0.51 thf(func_def_71, type, member_c_a: (c > a) > set_c_a > $o). 0.27/0.51 thf(func_def_72, type, member_a: a > set_a > $o). 0.27/0.51 thf(func_def_73, type, member_b: b > set_b > $o). 0.27/0.51 thf(func_def_74, type, member_c: c > set_c > $o). 0.27/0.51 thf(func_def_75, type, f: a > b). 0.27/0.51 thf(func_def_76, type, g: c > a). 0.27/0.51 thf(func_def_77, type, h: c > a). 0.27/0.51 thf(func_def_89, type, sK0: (b > a) > (a > b) > b). 0.27/0.51 thf(func_def_90, type, sK1: (c > b) > (b > c) > b). 0.27/0.51 thf(func_def_91, type, sK2: (a > b) > a). 0.27/0.51 thf(func_def_92, type, sK3: (a > b) > a). 0.27/0.51 thf(func_def_93, type, sK4: (b > a) > (a > b) > set_a > a). 0.27/0.51 thf(func_def_94, type, sK5: (a > b) > (a > b) > (c > a) > a). 0.27/0.51 thf(func_def_95, type, sK6: (a > b) > set_a > a). 0.27/0.51 thf(func_def_96, type, sK7: (a > b) > set_a > a). 0.27/0.51 thf(func_def_97, type, sK8: a > (c > a) > c). 0.27/0.51 thf(func_def_98, type, sK9: (a > b) > (a > b) > (c > a) > (c > a) > a). 0.27/0.51 thf(func_def_99, type, sK10: (a > b) > (a > b) > (c > a) > (c > a) > a). 0.27/0.51 thf(func_def_100, type, sK11: a > (c > a) > c). 0.27/0.51 thf(func_def_101, type, sK12: b > (a > b) > a). 0.27/0.51 thf(func_def_102, type, sK13: (c > b) > b > c). 0.27/0.51 thf(func_def_103, type, sK14: b > (c > b) > c). 0.27/0.51 thf(func_def_104, type, sK15: (c > b) > b). 0.27/0.51 thf(func_def_105, type, sK16: (a > b) > (c > a) > (a > b) > a). 0.27/0.51 thf(func_def_106, type, sK17: b > (a > b) > a). 0.27/0.51 thf(func_def_107, type, sK18: (a > b) > b). 0.27/0.51 thf(func_def_108, type, sK19: (a > c) > (c > a) > a). 0.27/0.51 thf(func_def_109, type, sK20: (c > a) > c). 0.27/0.51 thf(func_def_110, type, sK21: (c > a) > c). 0.27/0.51 thf(func_def_111, type, sK22: (a > b) > set_a > (a > b) > a). 0.27/0.51 thf(func_def_112, type, sK23: (a > b) > a). 0.27/0.51 thf(func_def_113, type, sK24: (a > b) > a). 0.27/0.51 thf(func_def_114, type, sK25: (c > b) > b > c). 0.27/0.51 thf(func_def_115, type, sK26: (c > a) > c). 0.27/0.51 thf(func_def_116, type, sK27: (c > a) > c). 0.27/0.51 thf(func_def_117, type, sK28: (c > b) > c). 0.27/0.51 thf(func_def_118, type, sK29: (c > b) > c). 0.27/0.51 thf(func_def_119, type, sK30: (a > b) > b > a). 0.27/0.51 thf(func_def_120, type, sK31: (c > b) > c). 0.27/0.51 thf(func_def_121, type, sK32: (c > b) > c). 0.27/0.51 thf(func_def_122, type, sK33: c > (c > a) > a > c). 0.27/0.51 thf(func_def_123, type, sK34: (c > a) > a > c). 0.27/0.51 thf(func_def_124, type, sK35: (c > a) > (a > b) > (a > b) > a). 0.27/0.51 thf(func_def_125, type, sK36: a > (c > a) > c). 0.27/0.51 thf(func_def_126, type, sK37: (c > a) > a). 0.27/0.51 thf(func_def_128, type, ph39: !>[X0: $tType]:(X0)). 0.27/0.51 thf(func_def_129, type, sK40: c). 0.27/0.51 thf(f1155,plain,( 0.27/0.51 $false), 0.27/0.51 inference(subsumption_resolution,[],[f1154,f1022])). 0.27/0.51 thf(f1022,plain,( 0.27/0.51 ((comp_a_b_c @ f @ g) = (comp_a_b_c @ f @ h))), 0.27/0.51 inference(cnf_transformation,[],[f356])). 0.27/0.51 thf(f356,axiom,( 0.27/0.51 ((comp_a_b_c @ f @ g) = (comp_a_b_c @ f @ h))), 0.27/0.51 file('/export/starexec/sandbox2/tmp/tmp.NVaxRbbyIj/E---3.1_9608.p',conj_1)). 0.27/0.51 thf(f1154,plain,( 0.27/0.51 ((comp_a_b_c @ f @ g) != (comp_a_b_c @ f @ h))), 0.27/0.51 inference(subsumption_resolution,[],[f1148,f986])). 0.27/0.51 thf(f986,plain,( 0.27/0.51 (g != h)), 0.27/0.51 inference(cnf_transformation,[],[f787])). 0.27/0.51 thf(f787,plain,( 0.27/0.51 (g != h)), 0.27/0.51 inference(flattening,[],[f325])). 0.27/0.51 thf(f325,negated_conjecture,( 0.27/0.51 ~(g = h)), 0.27/0.51 inference(negated_conjecture,[],[f324])). 0.27/0.51 thf(f324,conjecture,( 0.27/0.51 (g = h)), 0.27/0.51 file('/export/starexec/sandbox2/tmp/tmp.NVaxRbbyIj/E---3.1_9608.p',conj_2)). 0.27/0.51 thf(f1148,plain,( 0.27/0.51 (g = h) | ((comp_a_b_c @ f @ g) != (comp_a_b_c @ f @ h))), 0.27/0.51 inference(trivial_inequality_removal,[],[f1142])). 0.27/0.51 thf(f1142,plain,( 0.27/0.51 ($true != $true) | ((comp_a_b_c @ f @ g) != (comp_a_b_c @ f @ h)) | (g = h)), 0.27/0.51 inference(superposition,[],[f1032,f965])). 0.27/0.51 thf(f965,plain,( 0.27/0.51 ((inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ g @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c))) = $true)), 0.27/0.51 inference(cnf_transformation,[],[f464])). 0.27/0.51 thf(f464,plain,( 0.27/0.51 ((inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ g @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c))) = $true)), 0.27/0.51 inference(fool_elimination,[],[f463])). 0.27/0.51 thf(f463,plain,( 0.27/0.51 (inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ g @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c)))), 0.27/0.51 inference(rectify,[],[f131])). 0.27/0.51 thf(f131,axiom,( 0.27/0.51 (inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ g @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c)))), 0.27/0.51 file('/export/starexec/sandbox2/tmp/tmp.NVaxRbbyIj/E---3.1_9608.p',conj_0)). 0.27/0.51 thf(f1032,plain,( 0.27/0.51 ( ! [X2 : a > b,X0 : c > a,X1 : c > a] : (($true != (inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X1 @ top_top_set_c) @ (image_c_a @ X0 @ top_top_set_c)))) | (X0 = X1) | ((comp_a_b_c @ X2 @ X1) != (comp_a_b_c @ X2 @ X0))) )), 0.27/0.51 inference(cnf_transformation,[],[f836])). 0.27/0.51 thf(f836,plain,( 0.27/0.51 ! [X0 : c > a,X1 : c > a,X2 : a > b] : (((comp_a_b_c @ X2 @ X1) != (comp_a_b_c @ X2 @ X0)) | (X0 = X1) | ($true != (inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X1 @ top_top_set_c) @ (image_c_a @ X0 @ top_top_set_c)))))), 0.27/0.51 inference(flattening,[],[f835])). 0.27/0.51 thf(f835,plain,( 0.27/0.51 ! [X0 : c > a,X1 : c > a,X2 : a > b] : (((X0 = X1) | ($true != (inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X1 @ top_top_set_c) @ (image_c_a @ X0 @ top_top_set_c))))) | ((comp_a_b_c @ X2 @ X1) != (comp_a_b_c @ X2 @ X0)))), 0.27/0.51 inference(ennf_transformation,[],[f764])). 0.27/0.51 thf(f764,plain,( 0.27/0.51 ! [X0 : c > a,X1 : c > a,X2 : a > b] : (((comp_a_b_c @ X2 @ X1) = (comp_a_b_c @ X2 @ X0)) => (($true = (inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X1 @ top_top_set_c) @ (image_c_a @ X0 @ top_top_set_c)))) => (X0 = X1)))), 0.27/0.51 inference(fool_elimination,[],[f763])). 0.27/0.51 thf(f763,plain,( 0.27/0.51 ! [X0 : c > a,X1 : c > a,X2 : a > b] : (((comp_a_b_c @ X2 @ X1) = (comp_a_b_c @ X2 @ X0)) => ((inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X1 @ top_top_set_c) @ (image_c_a @ X0 @ top_top_set_c))) => (X0 = X1)))), 0.27/0.51 inference(rectify,[],[f132])). 0.27/0.51 thf(f132,axiom,( 0.27/0.51 ! [X21 : c > a,X12 : c > a,X9 : a > b] : (((comp_a_b_c @ X9 @ X21) = (comp_a_b_c @ X9 @ X12)) => ((inj_on_a_b @ X9 @ (sup_sup_set_a @ (image_c_a @ X12 @ top_top_set_c) @ (image_c_a @ X21 @ top_top_set_c))) => (X12 = X21)))), 0.27/0.51 file('/export/starexec/sandbox2/tmp/tmp.NVaxRbbyIj/E---3.1_9608.p',fact_8_o__inj__on)). 0.27/0.51 % SZS output end Proof for E---3.1_9608 0.27/0.51 % (9851)------------------------------ 0.27/0.51 % (9851)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (9851)Termination reason: Refutation 0.27/0.51 0.27/0.51 % (9851)Memory used [KB]: 6780 0.27/0.51 % (9851)Time elapsed: 0.049 s 0.27/0.51 % (9851)Instructions burned: 72 (million) 0.27/0.51 % (9851)------------------------------ 0.27/0.51 % (9851)------------------------------ 0.27/0.51 % (9845)Success in time 0.07 s 0.27/0.51 EOF