0.11/0.16 % Problem : Vampire---4.8_24747 : TPTP v0.0.0. Released v0.0.0. 0.11/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.17/0.38 % Computer : n001.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 13:38:30 EDT 2023 0.17/0.38 % CPUTime : 0.17/0.38 This is a THF_ problem 0.17/0.39 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747 -m 12000 -t 180 0.17/0.42 % (24857)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.17/0.42 % (24858)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.17/0.42 % (24856)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.17/0.42 % (24859)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.17/0.42 % (24860)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.17/0.42 % (24861)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.24/0.43 % (24861)Instruction limit reached! 0.24/0.43 % (24861)------------------------------ 0.24/0.43 % (24861)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.43 % (24861)Termination reason: Unknown 0.24/0.43 % (24861)Termination phase: shuffling 0.24/0.43 0.24/0.43 % (24861)Memory used [KB]: 1535 0.24/0.43 % (24861)Time elapsed: 0.005 s 0.24/0.43 % (24861)Instructions burned: 5 (million) 0.24/0.43 % (24861)------------------------------ 0.24/0.43 % (24861)------------------------------ 0.24/0.43 % (24862)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.24/0.43 % (24859)Instruction limit reached! 0.24/0.43 % (24859)------------------------------ 0.24/0.43 % (24859)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.43 % (24859)Termination reason: Unknown 0.24/0.43 % (24859)Termination phase: Property scanning 0.24/0.43 0.24/0.43 % (24859)Memory used [KB]: 1791 0.24/0.43 % (24859)Time elapsed: 0.013 s 0.24/0.43 % (24859)Instructions burned: 17 (million) 0.24/0.43 % (24859)------------------------------ 0.24/0.43 % (24859)------------------------------ 0.24/0.44 % (24855)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.24/0.44 % (24863)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.24/0.44 % (24856)Instruction limit reached! 0.24/0.44 % (24856)------------------------------ 0.24/0.44 % (24856)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (24856)Termination reason: Unknown 0.24/0.44 % (24856)Termination phase: Property scanning 0.24/0.44 0.24/0.44 % (24856)Memory used [KB]: 1918 0.24/0.44 % (24856)Time elapsed: 0.023 s 0.24/0.44 % (24856)Instructions burned: 36 (million) 0.24/0.44 % (24856)------------------------------ 0.24/0.44 % (24856)------------------------------ 0.24/0.45 % (24864)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.24/0.45 % (24857)Instruction limit reached! 0.24/0.45 % (24857)------------------------------ 0.24/0.45 % (24857)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.45 % (24857)Termination reason: Unknown 0.24/0.45 % (24857)Termination phase: Preprocessing 2 0.24/0.45 0.24/0.45 % (24857)Memory used [KB]: 1918 0.24/0.45 % (24857)Time elapsed: 0.023 s 0.24/0.45 % (24857)Instructions burned: 34 (million) 0.24/0.45 % (24857)------------------------------ 0.24/0.45 % (24857)------------------------------ 0.24/0.45 % (24864)Instruction limit reached! 0.24/0.45 % (24864)------------------------------ 0.24/0.45 % (24864)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.45 % (24864)Termination reason: Unknown 0.24/0.45 % (24864)Termination phase: shuffling 0.24/0.45 0.24/0.45 % (24864)Memory used [KB]: 1535 0.24/0.45 % (24864)Time elapsed: 0.006 s 0.24/0.45 % (24864)Instructions burned: 7 (million) 0.24/0.45 % (24864)------------------------------ 0.24/0.45 % (24864)------------------------------ 0.24/0.46 % (24863)Instruction limit reached! 0.24/0.46 % (24863)------------------------------ 0.24/0.46 % (24863)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.46 % (24863)Termination reason: Unknown 0.24/0.46 % (24863)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (24863)Memory used [KB]: 1791 0.24/0.46 % (24863)Time elapsed: 0.016 s 0.24/0.46 % (24863)Instructions burned: 22 (million) 0.24/0.46 % (24863)------------------------------ 0.24/0.46 % (24863)------------------------------ 0.24/0.46 % (24865)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.24/0.46 % (24860)Instruction limit reached! 0.24/0.46 % (24860)------------------------------ 0.24/0.46 % (24860)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.46 % (24860)Termination reason: Unknown 0.24/0.46 % (24860)Termination phase: Preprocessing 3 0.24/0.46 0.24/0.46 % (24860)Memory used [KB]: 2302 0.24/0.46 % (24860)Time elapsed: 0.038 s 0.24/0.46 % (24860)Instructions burned: 75 (million) 0.24/0.46 % (24860)------------------------------ 0.24/0.46 % (24860)------------------------------ 0.24/0.47 % (24866)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.24/0.47 % (24867)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.24/0.47 % (24868)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.24/0.47 % (24869)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.24/0.47 % (24867)Instruction limit reached! 0.24/0.47 % (24867)------------------------------ 0.24/0.47 % (24867)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.47 % (24867)Termination reason: Unknown 0.24/0.47 % (24867)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (24867)Memory used [KB]: 1535 0.24/0.47 % (24867)Time elapsed: 0.008 s 0.24/0.47 % (24867)Instructions burned: 10 (million) 0.24/0.47 % (24867)------------------------------ 0.24/0.47 % (24867)------------------------------ 0.24/0.48 % (24855)Instruction limit reached! 0.24/0.48 % (24855)------------------------------ 0.24/0.48 % (24855)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.48 % (24855)Termination reason: Unknown 0.24/0.48 % (24855)Termination phase: Saturation 0.24/0.48 0.24/0.48 % (24855)Memory used [KB]: 6908 0.24/0.48 % (24855)Time elapsed: 0.052 s 0.24/0.48 % (24855)Instructions burned: 97 (million) 0.24/0.49 % (24855)------------------------------ 0.24/0.49 % (24855)------------------------------ 0.24/0.49 % (24870)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.24/0.50 % (24866)Instruction limit reached! 0.24/0.50 % (24866)------------------------------ 0.24/0.50 % (24866)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.50 % (24866)Termination reason: Unknown 0.24/0.50 % (24866)Termination phase: Property scanning 0.24/0.50 0.24/0.50 % (24866)Memory used [KB]: 2174 0.24/0.50 % (24866)Time elapsed: 0.031 s 0.24/0.50 % (24866)Instructions burned: 74 (million) 0.24/0.50 % (24866)------------------------------ 0.24/0.50 % (24866)------------------------------ 0.24/0.50 % (24871)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.24/0.50 % (24872)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi) 0.24/0.50 % (24872)Instruction limit reached! 0.24/0.50 % (24872)------------------------------ 0.24/0.50 % (24872)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.50 % (24872)Termination reason: Unknown 0.24/0.50 % (24872)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (24872)Memory used [KB]: 1407 0.24/0.50 % (24872)Time elapsed: 0.002 s 0.24/0.50 % (24872)Instructions burned: 2 (million) 0.24/0.50 % (24872)------------------------------ 0.24/0.50 % (24872)------------------------------ 0.24/0.51 % (24871)Instruction limit reached! 0.24/0.51 % (24871)------------------------------ 0.24/0.51 % (24871)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.51 % (24871)Termination reason: Unknown 0.24/0.51 % (24871)Termination phase: shuffling 0.24/0.51 0.24/0.51 % (24871)Memory used [KB]: 1791 0.24/0.51 % (24871)Time elapsed: 0.012 s 0.24/0.51 % (24871)Instructions burned: 14 (million) 0.24/0.51 % (24871)------------------------------ 0.24/0.51 % (24871)------------------------------ 0.24/0.51 % (24873)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 Vampire---4 for (1798ds/1041Mi) 0.24/0.52 % (24870)Instruction limit reached! 0.24/0.52 % (24870)------------------------------ 0.24/0.52 % (24870)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.52 % (24870)Termination reason: Unknown 0.24/0.52 % (24870)Termination phase: Function definition elimination 0.24/0.52 0.24/0.52 % (24870)Memory used [KB]: 2174 0.24/0.52 % (24870)Time elapsed: 0.035 s 0.24/0.52 % (24870)Instructions burned: 61 (million) 0.24/0.52 % (24870)------------------------------ 0.24/0.52 % (24870)------------------------------ 0.24/0.52 % (24874)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.24/0.53 % (24874)Instruction limit reached! 0.24/0.53 % (24874)------------------------------ 0.24/0.53 % (24874)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.53 % (24874)Termination reason: Unknown 0.24/0.53 % (24874)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (24874)Memory used [KB]: 1663 0.24/0.53 % (24874)Time elapsed: 0.008 s 0.24/0.53 % (24874)Instructions burned: 11 (million) 0.24/0.53 % (24874)------------------------------ 0.24/0.53 % (24874)------------------------------ 0.24/0.54 % (24875)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 0.24/0.54 % (24868)First to succeed. 0.24/0.54 % (24868)Refutation found. Thanks to Tanya! 0.24/0.54 % SZS status Theorem for Vampire---4 0.24/0.54 % SZS output start Proof for Vampire---4 0.24/0.54 thf(type_def_5, type, real: $tType). 0.24/0.54 thf(type_def_7, type, nat: $tType). 0.24/0.54 thf(type_def_8, type, int: $tType). 0.24/0.54 thf(type_def_9, type, set_nat: $tType). 0.24/0.54 thf(type_def_10, type, set_int: $tType). 0.24/0.54 thf(type_def_11, type, set_real: $tType). 0.24/0.54 thf(type_def_12, type, a: $tType). 0.24/0.54 thf(type_def_13, type, set_a: $tType). 0.24/0.54 thf(type_def_14, type, list_nat: $tType). 0.24/0.54 thf(type_def_15, type, list_a: $tType). 0.24/0.54 thf(type_def_16, type, multiset_nat: $tType). 0.24/0.54 thf(type_def_17, type, multiset_a: $tType). 0.24/0.54 thf(type_def_18, type, multiset_int: $tType). 0.24/0.54 thf(type_def_19, type, set_list_a: $tType). 0.24/0.54 thf(func_def_0, type, set_list_a: $tType). 0.24/0.54 thf(func_def_1, type, multiset_nat: $tType). 0.24/0.54 thf(func_def_2, type, multiset_int: $tType). 0.24/0.54 thf(func_def_3, type, multiset_a: $tType). 0.24/0.54 thf(func_def_4, type, set_real: $tType). 0.24/0.54 thf(func_def_5, type, list_nat: $tType). 0.24/0.54 thf(func_def_6, type, set_nat: $tType). 0.24/0.54 thf(func_def_7, type, set_int: $tType). 0.24/0.54 thf(func_def_8, type, list_a: $tType). 0.24/0.54 thf(func_def_9, type, set_a: $tType). 0.24/0.54 thf(func_def_10, type, real: $tType). 0.24/0.54 thf(func_def_11, type, nat: $tType). 0.24/0.54 thf(func_def_12, type, int: $tType). 0.24/0.54 thf(func_def_13, type, a: $tType). 0.24/0.54 thf(func_def_14, type, inverse_inverse_real: real > real). 0.24/0.54 thf(func_def_15, type, bij_betw_nat_int: (nat > int) > set_nat > set_int > $o). 0.24/0.54 thf(func_def_16, type, bij_betw_nat_nat: (nat > nat) > set_nat > set_nat > $o). 0.24/0.54 thf(func_def_17, type, bij_betw_nat_real: (nat > real) > set_nat > set_real > $o). 0.24/0.54 thf(func_def_18, type, bij_betw_nat_a: (nat > a) > set_nat > set_a > $o). 0.24/0.54 thf(func_def_19, type, comp_int_int_nat: (int > int) > (nat > int) > nat > int). 0.24/0.54 thf(func_def_20, type, comp_int_nat_nat: (int > nat) > (nat > int) > nat > nat). 0.24/0.54 thf(func_def_21, type, comp_l728830689st_nat: (list_nat > list_a) > (list_nat > list_nat) > list_nat > list_a). 0.24/0.54 thf(func_def_22, type, comp_l1234327363st_nat: (list_a > list_a) > (list_nat > list_a) > list_nat > list_a). 0.24/0.54 thf(func_def_23, type, comp_m1386984005et_nat: (multiset_nat > multiset_nat) > (multiset_nat > multiset_nat) > multiset_nat > multiset_nat). 0.24/0.54 thf(func_def_24, type, comp_m1844659105et_nat: (multiset_nat > multiset_a) > (multiset_nat > multiset_nat) > multiset_nat > multiset_a). 0.24/0.54 thf(func_def_25, type, comp_m346803701et_nat: (multiset_nat > nat) > (multiset_nat > multiset_nat) > multiset_nat > nat). 0.24/0.54 thf(func_def_26, type, comp_m1962190563et_nat: (multiset_a > multiset_nat) > (multiset_nat > multiset_a) > multiset_nat > multiset_nat). 0.24/0.54 thf(func_def_27, type, comp_m540523139et_nat: (multiset_a > multiset_a) > (multiset_nat > multiset_a) > multiset_nat > multiset_a). 0.24/0.54 thf(func_def_28, type, comp_m1512105363et_nat: (multiset_a > nat) > (multiset_nat > multiset_a) > multiset_nat > nat). 0.24/0.54 thf(func_def_29, type, comp_nat_int_nat: (nat > int) > (nat > nat) > nat > int). 0.24/0.54 thf(func_def_30, type, comp_nat_nat_nat: (nat > nat) > (nat > nat) > nat > nat). 0.24/0.54 thf(func_def_31, type, comp_nat_a_nat: (nat > a) > (nat > nat) > nat > a). 0.24/0.54 thf(func_def_32, type, comp_a_nat_nat: (a > nat) > (nat > a) > nat > nat). 0.24/0.54 thf(func_def_33, type, comp_a_a_nat: (a > a) > (nat > a) > nat > a). 0.24/0.54 thf(func_def_34, type, inj_on_int_int: (int > int) > set_int > $o). 0.24/0.54 thf(func_def_35, type, inj_on_int_nat: (int > nat) > set_int > $o). 0.24/0.54 thf(func_def_36, type, inj_on_nat_int: (nat > int) > set_nat > $o). 0.24/0.54 thf(func_def_37, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 0.24/0.54 thf(func_def_38, type, inj_on_nat_real: (nat > real) > set_nat > $o). 0.24/0.54 thf(func_def_39, type, inj_on_nat_a: (nat > a) > set_nat > $o). 0.24/0.54 thf(func_def_40, type, uminus_uminus_int: int > int). 0.24/0.54 thf(func_def_41, type, uminus_uminus_real: real > real). 0.24/0.54 thf(func_def_42, type, zero_zero_int: int). 0.24/0.54 thf(func_def_43, type, zero_z2005226153et_nat: multiset_nat). 0.24/0.54 thf(func_def_44, type, zero_zero_multiset_a: multiset_a). 0.24/0.54 thf(func_def_45, type, zero_zero_nat: nat). 0.24/0.54 thf(func_def_46, type, zero_zero_real: real). 0.24/0.54 thf(func_def_47, type, if_int: $o > int > int > int). 0.24/0.54 thf(func_def_48, type, if_nat: $o > nat > nat > nat). 0.24/0.54 thf(func_def_49, type, if_real: $o > real > real > real). 0.24/0.54 thf(func_def_50, type, nat2: int > nat). 0.24/0.54 thf(func_def_51, type, ring_1_of_int_int: int > int). 0.24/0.54 thf(func_def_52, type, ring_1_of_int_real: int > real). 0.24/0.54 thf(func_def_53, type, gen_length_a: nat > list_a > nat). 0.24/0.54 thf(func_def_54, type, map_nat_nat: (nat > nat) > list_nat > list_nat). 0.24/0.54 thf(func_def_55, type, map_nat_a: (nat > a) > list_nat > list_a). 0.24/0.54 thf(func_def_56, type, map_a_nat: (a > nat) > list_a > list_nat). 0.24/0.54 thf(func_def_57, type, map_a_a: (a > a) > list_a > list_a). 0.24/0.54 thf(func_def_58, type, list_ex_a: (a > $o) > list_a > $o). 0.24/0.54 thf(func_def_59, type, map_tailrec_nat_a: (nat > a) > list_nat > list_a). 0.24/0.54 thf(func_def_60, type, nth_nat: list_nat > nat > nat). 0.24/0.54 thf(func_def_61, type, nth_a: list_a > nat > a). 0.24/0.54 thf(func_def_62, type, upt: nat > nat > list_nat). 0.24/0.54 thf(func_def_63, type, image_mset_nat_int: (nat > int) > multiset_nat > multiset_int). 0.24/0.54 thf(func_def_64, type, image_mset_nat_nat: (nat > nat) > multiset_nat > multiset_nat). 0.24/0.54 thf(func_def_65, type, image_mset_nat_a: (nat > a) > multiset_nat > multiset_a). 0.24/0.54 thf(func_def_66, type, image_mset_a_nat: (a > nat) > multiset_a > multiset_nat). 0.24/0.54 thf(func_def_67, type, image_mset_a_a: (a > a) > multiset_a > multiset_a). 0.24/0.54 thf(func_def_68, type, mset_nat: list_nat > multiset_nat). 0.24/0.54 thf(func_def_69, type, mset_a: list_a > multiset_a). 0.24/0.54 thf(func_def_70, type, mset_set_int: set_int > multiset_int). 0.24/0.54 thf(func_def_71, type, mset_set_nat: set_nat > multiset_nat). 0.24/0.54 thf(func_def_72, type, mset_set_a: set_a > multiset_a). 0.24/0.54 thf(func_def_73, type, size_multiset_nat: (nat > nat) > multiset_nat > nat). 0.24/0.54 thf(func_def_74, type, size_multiset_a: (a > nat) > multiset_a > nat). 0.24/0.54 thf(func_def_75, type, semiri2019852685at_int: nat > int). 0.24/0.54 thf(func_def_76, type, semiri1382578993at_nat: nat > nat). 0.24/0.54 thf(func_def_77, type, semiri2110766477t_real: nat > real). 0.24/0.54 thf(func_def_78, type, size_size_list_nat: list_nat > nat). 0.24/0.54 thf(func_def_79, type, size_size_list_a: list_a > nat). 0.24/0.54 thf(func_def_80, type, size_s1679505588et_nat: multiset_nat > nat). 0.24/0.54 thf(func_def_81, type, size_size_multiset_a: multiset_a > nat). 0.24/0.54 thf(func_def_82, type, ord_less_int: int > int > $o). 0.24/0.54 thf(func_def_83, type, ord_less_nat: nat > nat > $o). 0.24/0.54 thf(func_def_84, type, ord_less_real: real > real > $o). 0.24/0.54 thf(func_def_85, type, ord_less_set_int: set_int > set_int > $o). 0.24/0.54 thf(func_def_86, type, ord_less_set_nat: set_nat > set_nat > $o). 0.24/0.54 thf(func_def_87, type, ord_less_set_real: set_real > set_real > $o). 0.24/0.54 thf(func_def_88, type, ord_less_eq_int: int > int > $o). 0.24/0.54 thf(func_def_89, type, ord_less_eq_nat: nat > nat > $o). 0.24/0.54 thf(func_def_90, type, ord_less_eq_real: real > real > $o). 0.24/0.54 thf(func_def_91, type, ord_less_eq_set_int: set_int > set_int > $o). 0.24/0.54 thf(func_def_92, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.24/0.54 thf(func_def_93, type, image_int_int: (int > int) > set_int > set_int). 0.24/0.54 thf(func_def_94, type, image_int_nat: (int > nat) > set_int > set_nat). 0.24/0.54 thf(func_def_95, type, image_nat_int: (nat > int) > set_nat > set_int). 0.24/0.54 thf(func_def_96, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.24/0.54 thf(func_def_97, type, image_nat_real: (nat > real) > set_nat > set_real). 0.24/0.54 thf(func_def_98, type, image_nat_a: (nat > a) > set_nat > set_a). 0.24/0.54 thf(func_def_99, type, set_or1199280219an_int: int > int > set_int). 0.24/0.54 thf(func_def_100, type, set_or562006527an_nat: nat > nat > set_nat). 0.24/0.54 thf(func_def_101, type, set_or2075149659n_real: real > real > set_real). 0.24/0.54 thf(func_def_102, type, set_ord_lessThan_int: int > set_int). 0.24/0.54 thf(func_def_103, type, set_ord_lessThan_nat: nat > set_nat). 0.24/0.54 thf(func_def_104, type, set_or1211449801n_real: real > set_real). 0.24/0.54 thf(func_def_105, type, member_int: int > set_int > $o). 0.24/0.54 thf(func_def_106, type, member_list_a: list_a > set_list_a > $o). 0.24/0.54 thf(func_def_107, type, member_nat: nat > set_nat > $o). 0.24/0.54 thf(func_def_108, type, member_real: real > set_real > $o). 0.24/0.54 thf(func_def_109, type, f: nat > nat). 0.24/0.54 thf(func_def_110, type, xs: list_a). 0.24/0.54 thf(func_def_111, type, ys: list_a). 0.24/0.54 thf(func_def_128, type, sK0: nat > list_a). 0.24/0.54 thf(func_def_129, type, sK1: multiset_a > list_a). 0.24/0.54 thf(func_def_130, type, sK2: multiset_nat > list_nat). 0.24/0.54 thf(func_def_131, type, sK3: (list_a > $o) > list_a). 0.24/0.54 thf(func_def_132, type, sK4: (nat > $o) > nat). 0.24/0.54 thf(func_def_133, type, sK5: list_a > list_a > nat). 0.24/0.54 thf(func_def_135, type, sK7: nat > (nat > a > $o) > a). 0.24/0.54 thf(func_def_136, type, sK8: nat > (nat > a > $o) > list_a > nat). 0.24/0.54 thf(func_def_137, type, sK9: nat > (nat > a > $o) > list_a). 0.24/0.54 thf(func_def_138, type, sK10: nat > (nat > a > $o) > nat). 0.24/0.54 thf(func_def_139, type, sK11: (nat > $o) > nat > nat). 0.24/0.54 thf(func_def_140, type, sK12: (nat > $o) > nat > nat). 0.24/0.54 thf(func_def_141, type, sK13: (nat > $o) > nat > nat). 0.24/0.54 thf(func_def_142, type, sK14: (nat > $o) > nat > nat). 0.24/0.54 thf(func_def_143, type, ph15: !>[X0: $tType]:(X0)). 0.24/0.54 thf(f1321,plain,( 0.24/0.54 $false), 0.24/0.54 inference(subsumption_resolution,[],[f1320,f1118])). 0.24/0.54 thf(f1118,plain,( 0.24/0.54 ((mset_a @ xs) != (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ ys))))))), 0.24/0.54 inference(backward_demodulation,[],[f1109,f979])). 0.24/0.54 thf(f979,plain,( 0.24/0.54 ( ! [X0 : list_a] : (((gen_length_a @ zero_zero_nat @ X0) = (size_size_multiset_a @ (mset_a @ X0)))) )), 0.24/0.54 inference(definition_unfolding,[],[f889,f946])). 0.24/0.54 thf(f946,plain,( 0.24/0.54 (size_size_list_a = (gen_length_a @ zero_zero_nat))), 0.24/0.54 inference(cnf_transformation,[],[f139])). 0.24/0.54 thf(f139,axiom,( 0.24/0.54 (size_size_list_a = (gen_length_a @ zero_zero_nat))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',fact_182_length__code)). 0.24/0.54 thf(f889,plain,( 0.24/0.54 ( ! [X0 : list_a] : (((size_size_list_a @ X0) = (size_size_multiset_a @ (mset_a @ X0)))) )), 0.24/0.54 inference(cnf_transformation,[],[f798])). 0.24/0.54 thf(f798,plain,( 0.24/0.54 ! [X0 : list_a] : ((size_size_list_a @ X0) = (size_size_multiset_a @ (mset_a @ X0)))), 0.24/0.54 inference(rectify,[],[f315])). 0.24/0.54 thf(f315,axiom,( 0.24/0.54 ! [X5 : list_a] : ((size_size_list_a @ X5) = (size_size_multiset_a @ (mset_a @ X5)))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',fact_65_size__mset)). 0.24/0.54 thf(f1109,plain,( 0.24/0.54 ((mset_a @ xs) != (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ ys)))))), 0.24/0.54 inference(backward_demodulation,[],[f999,f975])). 0.24/0.54 thf(f975,plain,( 0.24/0.54 ((mset_a @ xs) = (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ xs))))))), 0.24/0.54 inference(definition_unfolding,[],[f881,f946])). 0.24/0.54 thf(f881,plain,( 0.24/0.54 ((mset_a @ xs) = (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))))), 0.24/0.54 inference(cnf_transformation,[],[f5])). 0.24/0.54 thf(f5,axiom,( 0.24/0.54 ((mset_a @ xs) = (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',fact_1_calculation)). 0.24/0.54 thf(f999,plain,( 0.24/0.54 ((image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ ys)))) != (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ xs))))))), 0.24/0.54 inference(definition_unfolding,[],[f973,f946,f946])). 0.24/0.54 thf(f973,plain,( 0.24/0.54 ((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))) != (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))))), 0.24/0.54 inference(cnf_transformation,[],[f782])). 0.24/0.54 thf(f782,plain,( 0.24/0.54 ((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))) != (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))))), 0.24/0.54 inference(flattening,[],[f30])). 0.24/0.54 thf(f30,negated_conjecture,( 0.24/0.54 ~((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))) = (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))))), 0.24/0.54 inference(negated_conjecture,[],[f29])). 0.24/0.54 thf(f29,conjecture,( 0.24/0.54 ((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))) = (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',conj_0)). 0.24/0.54 thf(f1320,plain,( 0.24/0.54 ((mset_a @ xs) = (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ ys))))))), 0.24/0.54 inference(backward_demodulation,[],[f1114,f1319])). 0.24/0.54 thf(f1319,plain,( 0.24/0.54 ((image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs))))) = (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ ys)))))), 0.24/0.54 inference(forward_demodulation,[],[f1318,f1123])). 0.24/0.54 thf(f1123,plain,( 0.24/0.54 ((image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs)))) = (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ ys))))), 0.24/0.54 inference(forward_demodulation,[],[f1113,f979])). 0.24/0.54 thf(f1113,plain,( 0.24/0.54 ((image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs)))) = (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ ys)))), 0.24/0.54 inference(backward_demodulation,[],[f992,f979])). 0.24/0.54 thf(f992,plain,( 0.24/0.54 ((image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ xs))) = (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ ys)))), 0.24/0.54 inference(definition_unfolding,[],[f948,f946,f946])). 0.24/0.54 thf(f948,plain,( 0.24/0.54 ((set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)) = (image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))), 0.24/0.54 inference(cnf_transformation,[],[f336])). 0.24/0.54 thf(f336,axiom,( 0.24/0.54 ((set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)) = (image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',fact_3__C2_C)). 0.24/0.54 thf(f1318,plain,( 0.24/0.54 ((mset_set_nat @ (image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs))))) = (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs))))))), 0.24/0.54 inference(trivial_inequality_removal,[],[f1317])). 0.24/0.54 thf(f1317,plain,( 0.24/0.54 ((mset_set_nat @ (image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs))))) = (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs)))))) | ($true != $true)), 0.24/0.54 inference(superposition,[],[f937,f1112])). 0.24/0.54 thf(f1112,plain,( 0.24/0.54 ($true = (inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs)))))), 0.24/0.54 inference(backward_demodulation,[],[f989,f979])). 0.24/0.54 thf(f989,plain,( 0.24/0.54 ((inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (gen_length_a @ zero_zero_nat @ xs))) = $true)), 0.24/0.54 inference(definition_unfolding,[],[f931,f946])). 0.24/0.54 thf(f931,plain,( 0.24/0.54 ((inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))) = $true)), 0.24/0.54 inference(cnf_transformation,[],[f507])). 0.24/0.54 thf(f507,plain,( 0.24/0.54 ((inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))) = $true)), 0.24/0.54 inference(fool_elimination,[],[f506])). 0.24/0.54 thf(f506,plain,( 0.24/0.54 (inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))), 0.24/0.54 inference(rectify,[],[f349])). 0.24/0.54 thf(f349,axiom,( 0.24/0.54 (inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',fact_0__C1_C)). 0.24/0.54 thf(f937,plain,( 0.24/0.54 ( ! [X0 : nat > nat,X1 : set_nat] : (((inj_on_nat_nat @ X0 @ X1) != $true) | ((mset_set_nat @ (image_nat_nat @ X0 @ X1)) = (image_mset_nat_nat @ X0 @ (mset_set_nat @ X1)))) )), 0.24/0.54 inference(cnf_transformation,[],[f839])). 0.24/0.54 thf(f839,plain,( 0.24/0.54 ! [X0 : nat > nat,X1 : set_nat] : (((inj_on_nat_nat @ X0 @ X1) != $true) | ((mset_set_nat @ (image_nat_nat @ X0 @ X1)) = (image_mset_nat_nat @ X0 @ (mset_set_nat @ X1))))), 0.24/0.54 inference(ennf_transformation,[],[f445])). 0.24/0.54 thf(f445,plain,( 0.24/0.54 ! [X0 : nat > nat,X1 : set_nat] : (((inj_on_nat_nat @ X0 @ X1) = $true) => ((mset_set_nat @ (image_nat_nat @ X0 @ X1)) = (image_mset_nat_nat @ X0 @ (mset_set_nat @ X1))))), 0.24/0.54 inference(fool_elimination,[],[f444])). 0.24/0.54 thf(f444,plain,( 0.24/0.54 ! [X0 : nat > nat,X1 : set_nat] : ((inj_on_nat_nat @ X0 @ X1) => ((mset_set_nat @ (image_nat_nat @ X0 @ X1)) = (image_mset_nat_nat @ X0 @ (mset_set_nat @ X1))))), 0.24/0.54 inference(rectify,[],[f204])). 0.24/0.54 thf(f204,axiom,( 0.24/0.54 ! [X2 : nat > nat,X3 : set_nat] : ((inj_on_nat_nat @ X2 @ X3) => ((image_mset_nat_nat @ X2 @ (mset_set_nat @ X3)) = (mset_set_nat @ (image_nat_nat @ X2 @ X3))))), 0.24/0.54 file('/export/starexec/sandbox2/tmp/tmp.TNF3q4CVMH/Vampire---4.8_24747',fact_71_image__mset__mset__set)). 0.24/0.54 thf(f1114,plain,( 0.24/0.54 ((mset_a @ xs) = (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_multiset_a @ (mset_a @ xs)))))))), 0.24/0.54 inference(backward_demodulation,[],[f975,f979])). 0.24/0.54 % SZS output end Proof for Vampire---4 0.24/0.54 % (24868)------------------------------ 0.24/0.54 % (24868)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.54 % (24868)Termination reason: Refutation 0.24/0.54 0.24/0.54 % (24868)Memory used [KB]: 6908 0.24/0.54 % (24868)Time elapsed: 0.070 s 0.24/0.54 % (24868)Instructions burned: 136 (million) 0.24/0.54 % (24868)------------------------------ 0.24/0.54 % (24868)------------------------------ 0.24/0.54 % (24854)Success in time 0.142 s 0.24/0.54 % Vampire---4.8 exiting 0.24/0.54 EOF