TSTP Solution File: LCL691^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL691^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:22:14 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL691^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 02:08:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (1071)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (1067)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 theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (1074)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (1065)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (1073)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.38 % (1072)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (1071)Instruction limit reached!
% 0.14/0.38 % (1071)------------------------------
% 0.14/0.38 % (1071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1071)Termination reason: Unknown
% 0.14/0.38 % (1071)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (1071)Memory used [KB]: 1023
% 0.14/0.38 % (1070)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 theBenchmark for (2999ds/27Mi)
% 0.14/0.38 % (1071)Time elapsed: 0.004 s
% 0.14/0.38 % (1071)Instructions burned: 3 (million)
% 0.14/0.38 % (1071)------------------------------
% 0.14/0.38 % (1071)------------------------------
% 0.14/0.38 % (1067)Instruction limit reached!
% 0.14/0.38 % (1067)------------------------------
% 0.14/0.38 % (1067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1067)Termination reason: Unknown
% 0.14/0.38 % (1067)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (1067)Memory used [KB]: 1023
% 0.14/0.38 % (1067)Time elapsed: 0.004 s
% 0.14/0.38 % (1067)Instructions burned: 4 (million)
% 0.14/0.38 % (1067)------------------------------
% 0.14/0.38 % (1067)------------------------------
% 0.14/0.38 % (1072)Instruction limit reached!
% 0.14/0.38 % (1072)------------------------------
% 0.14/0.38 % (1072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1072)Termination reason: Unknown
% 0.14/0.38 % (1072)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (1072)Memory used [KB]: 1023
% 0.14/0.38 % (1072)Time elapsed: 0.004 s
% 0.14/0.38 % (1072)Instructions burned: 3 (million)
% 0.14/0.38 % (1072)------------------------------
% 0.14/0.38 % (1072)------------------------------
% 0.14/0.38 % (1073)Refutation not found, incomplete strategy
% 0.14/0.38 % (1073)------------------------------
% 0.14/0.38 % (1073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1075)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38 % (1073)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (1073)Memory used [KB]: 5500
% 0.14/0.38 % (1073)Time elapsed: 0.005 s
% 0.14/0.38 % (1073)Instructions burned: 5 (million)
% 0.14/0.38 % (1073)------------------------------
% 0.14/0.38 % (1073)------------------------------
% 0.14/0.38 % (1075)Instruction limit reached!
% 0.14/0.38 % (1075)------------------------------
% 0.14/0.38 % (1075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1075)Termination reason: Unknown
% 0.14/0.38 % (1075)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (1075)Memory used [KB]: 1023
% 0.14/0.38 % (1075)Time elapsed: 0.004 s
% 0.14/0.38 % (1075)Instructions burned: 3 (million)
% 0.14/0.38 % (1075)------------------------------
% 0.14/0.38 % (1075)------------------------------
% 0.14/0.39 % (1074)Instruction limit reached!
% 0.14/0.39 % (1074)------------------------------
% 0.14/0.39 % (1074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1074)Termination reason: Unknown
% 0.14/0.39 % (1074)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (1074)Memory used [KB]: 5628
% 0.14/0.39 % (1074)Time elapsed: 0.014 s
% 0.14/0.39 % (1074)Instructions burned: 19 (million)
% 0.14/0.39 % (1074)------------------------------
% 0.14/0.39 % (1074)------------------------------
% 0.14/0.40 % (1082)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 theBenchmark for (2999ds/37Mi)
% 0.14/0.40 % (1084)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40 % (1083)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 theBenchmark for (2999ds/15Mi)
% 0.14/0.40 % (1070)Instruction limit reached!
% 0.14/0.40 % (1070)------------------------------
% 0.14/0.40 % (1070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1070)Termination reason: Unknown
% 0.14/0.40 % (1070)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (1070)Memory used [KB]: 5756
% 0.14/0.40 % (1070)Time elapsed: 0.019 s
% 0.14/0.40 % (1070)Instructions burned: 27 (million)
% 0.14/0.40 % (1070)------------------------------
% 0.14/0.40 % (1070)------------------------------
% 0.14/0.40 % (1084)Instruction limit reached!
% 0.14/0.40 % (1084)------------------------------
% 0.14/0.40 % (1084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1084)Termination reason: Unknown
% 0.14/0.40 % (1084)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (1084)Memory used [KB]: 1023
% 0.14/0.40 % (1084)Time elapsed: 0.003 s
% 0.14/0.40 % (1084)Instructions burned: 3 (million)
% 0.14/0.40 % (1084)------------------------------
% 0.14/0.40 % (1084)------------------------------
% 0.14/0.40 % (1086)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 theBenchmark for (2999ds/1041Mi)
% 0.14/0.40 % (1087)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (1087)Instruction limit reached!
% 0.21/0.40 % (1087)------------------------------
% 0.21/0.40 % (1087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (1087)Termination reason: Unknown
% 0.21/0.40 % (1087)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (1087)Memory used [KB]: 1023
% 0.21/0.40 % (1087)Time elapsed: 0.006 s
% 0.21/0.40 % (1087)Instructions burned: 7 (million)
% 0.21/0.40 % (1087)------------------------------
% 0.21/0.40 % (1087)------------------------------
% 0.21/0.40 % (1091)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (1083)Instruction limit reached!
% 0.21/0.40 % (1083)------------------------------
% 0.21/0.40 % (1083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (1083)Termination reason: Unknown
% 0.21/0.40 % (1083)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (1083)Memory used [KB]: 5628
% 0.21/0.40 % (1083)Time elapsed: 0.032 s
% 0.21/0.40 % (1083)Instructions burned: 15 (million)
% 0.21/0.40 % (1083)------------------------------
% 0.21/0.40 % (1083)------------------------------
% 0.21/0.41 % (1092)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (1093)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (1092)Instruction limit reached!
% 0.21/0.41 % (1092)------------------------------
% 0.21/0.41 % (1092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (1092)Termination reason: Unknown
% 0.21/0.41 % (1092)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (1092)Memory used [KB]: 1023
% 0.21/0.41 % (1092)Time elapsed: 0.004 s
% 0.21/0.41 % (1092)Instructions burned: 3 (million)
% 0.21/0.41 % (1092)------------------------------
% 0.21/0.41 % (1092)------------------------------
% 0.21/0.41 % (1091)Instruction limit reached!
% 0.21/0.41 % (1091)------------------------------
% 0.21/0.41 % (1091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (1091)Termination reason: Unknown
% 0.21/0.41 % (1091)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (1091)Memory used [KB]: 5628
% 0.21/0.41 % (1091)Time elapsed: 0.011 s
% 0.21/0.41 % (1091)Instructions burned: 16 (million)
% 0.21/0.41 % (1091)------------------------------
% 0.21/0.41 % (1091)------------------------------
% 0.21/0.41 % (1093)Instruction limit reached!
% 0.21/0.41 % (1093)------------------------------
% 0.21/0.41 % (1093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (1093)Termination reason: Unknown
% 0.21/0.41 % (1093)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (1093)Memory used [KB]: 1023
% 0.21/0.41 % (1093)Time elapsed: 0.004 s
% 0.21/0.41 % (1093)Instructions burned: 3 (million)
% 0.21/0.41 % (1093)------------------------------
% 0.21/0.41 % (1093)------------------------------
% 0.21/0.42 % (1082)Instruction limit reached!
% 0.21/0.42 % (1082)------------------------------
% 0.21/0.42 % (1082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1082)Termination reason: Unknown
% 0.21/0.42 % (1082)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (1082)Memory used [KB]: 5884
% 0.21/0.42 % (1082)Time elapsed: 0.023 s
% 0.21/0.42 % (1082)Instructions burned: 37 (million)
% 0.21/0.42 % (1082)------------------------------
% 0.21/0.42 % (1082)------------------------------
% 0.21/0.42 % (1094)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (1095)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (1095)Instruction limit reached!
% 0.21/0.42 % (1095)------------------------------
% 0.21/0.42 % (1095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1095)Termination reason: Unknown
% 0.21/0.42 % (1095)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (1095)Memory used [KB]: 1023
% 0.21/0.42 % (1095)Time elapsed: 0.004 s
% 0.21/0.42 % (1095)Instructions burned: 3 (million)
% 0.21/0.42 % (1095)------------------------------
% 0.21/0.42 % (1095)------------------------------
% 0.21/0.42 % (1094)Instruction limit reached!
% 0.21/0.42 % (1094)------------------------------
% 0.21/0.42 % (1094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1094)Termination reason: Unknown
% 0.21/0.42 % (1094)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (1094)Memory used [KB]: 5500
% 0.21/0.42 % (1094)Time elapsed: 0.006 s
% 0.21/0.42 % (1094)Instructions burned: 8 (million)
% 0.21/0.42 % (1094)------------------------------
% 0.21/0.42 % (1094)------------------------------
% 0.21/0.43 % (1096)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (1097)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.43 % (1098)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (1096)Instruction limit reached!
% 0.21/0.43 % (1096)------------------------------
% 0.21/0.43 % (1096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1096)Termination reason: Unknown
% 0.21/0.43 % (1096)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (1096)Memory used [KB]: 1023
% 0.21/0.43 % (1096)Time elapsed: 0.004 s
% 0.21/0.43 % (1096)Instructions burned: 4 (million)
% 0.21/0.43 % (1096)------------------------------
% 0.21/0.43 % (1096)------------------------------
% 0.21/0.43 % (1099)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.43 % (1086)First to succeed.
% 0.21/0.43 % (1099)Instruction limit reached!
% 0.21/0.43 % (1099)------------------------------
% 0.21/0.43 % (1099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1099)Termination reason: Unknown
% 0.21/0.43 % (1099)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (1099)Memory used [KB]: 5500
% 0.21/0.43 % (1099)Time elapsed: 0.006 s
% 0.21/0.43 % (1099)Instructions burned: 7 (million)
% 0.21/0.43 % (1099)------------------------------
% 0.21/0.43 % (1099)------------------------------
% 0.21/0.44 % (1100)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.44 % (1086)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% 0.21/0.44 thf(type_def_6, type, individuals: $tType).
% 0.21/0.44 thf(func_def_1, type, prop_a: $i > $o).
% 0.21/0.44 thf(func_def_2, type, prop_b: $i > $o).
% 0.21/0.44 thf(func_def_3, type, prop_c: $i > $o).
% 0.21/0.44 thf(func_def_4, type, mfalse: $i > $o).
% 0.21/0.44 thf(func_def_5, type, mtrue: $i > $o).
% 0.21/0.44 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_14, type, individuals: $tType).
% 0.21/0.44 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_21, type, reli: $i > $i > $o).
% 0.21/0.44 thf(func_def_22, type, relr: $i > $i > $o).
% 0.21/0.44 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_27, type, cs4_true: $i > $o).
% 0.21/0.44 thf(func_def_28, type, cs4_false: $i > $o).
% 0.21/0.44 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_49, type, ph1: !>[X0: $tType]:(X0)).
% 0.21/0.44 thf(func_def_50, type, sK2: $i > $o).
% 0.21/0.44 thf(f343,plain,(
% 0.21/0.44 $false),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f342])).
% 0.21/0.44 thf(f342,plain,(
% 0.21/0.44 ($true = $false)),
% 0.21/0.44 inference(boolean_simplification,[],[f341])).
% 0.21/0.44 thf(f341,plain,(
% 0.21/0.44 ($true = (~ $true))),
% 0.21/0.44 inference(backward_demodulation,[],[f261,f340])).
% 0.21/0.44 thf(f340,plain,(
% 0.21/0.44 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (sK2 @ Y0)))) = $true)),
% 0.21/0.44 inference(boolean_simplification,[],[f336])).
% 0.21/0.44 thf(f336,plain,(
% 0.21/0.44 (($true => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (sK2 @ Y0))))) = $true)),
% 0.21/0.44 inference(superposition,[],[f327,f251])).
% 0.21/0.44 thf(f251,plain,(
% 0.21/0.44 ((relr @ sK5 @ sK7) = $true)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f249])).
% 0.21/0.44 thf(f249,plain,(
% 0.21/0.44 (((relr @ sK5 @ sK7) => (sK2 @ sK7)) = $false)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f242])).
% 0.21/0.44 thf(f242,plain,(
% 0.21/0.44 (((^[Y0 : $i]: ((relr @ sK5 @ Y0) => (sK2 @ Y0))) @ sK7) = $false)),
% 0.21/0.44 inference(sigma_clausification,[],[f231])).
% 0.21/0.44 thf(f231,plain,(
% 0.21/0.44 ((!! @ $i @ (^[Y0 : $i]: ((relr @ sK5 @ Y0) => (sK2 @ Y0)))) = $false)),
% 0.21/0.44 inference(not_proxy_clausification,[],[f203])).
% 0.21/0.44 thf(f203,plain,(
% 0.21/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((relr @ sK5 @ Y0) => (sK2 @ Y0))))))),
% 0.21/0.44 inference(boolean_simplification,[],[f201])).
% 0.21/0.44 thf(f201,plain,(
% 0.21/0.44 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((relr @ sK5 @ Y0) => (sK2 @ Y0))))) | $false))),
% 0.21/0.44 inference(superposition,[],[f145,f199])).
% 0.21/0.44 thf(f199,plain,(
% 0.21/0.44 ((sK2 @ sK5) = $false)),
% 0.21/0.44 inference(boolean_simplification,[],[f198])).
% 0.21/0.44 thf(f198,plain,(
% 0.21/0.44 (($true => (sK2 @ sK5)) = $false)),
% 0.21/0.44 inference(backward_demodulation,[],[f191,f197])).
% 0.21/0.44 thf(f197,plain,(
% 0.21/0.44 ((reli @ sK4 @ sK5) = $true)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f191])).
% 0.21/0.44 thf(f191,plain,(
% 0.21/0.44 (((reli @ sK4 @ sK5) => (sK2 @ sK5)) = $false)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f188])).
% 0.21/0.44 thf(f188,plain,(
% 0.21/0.44 (((^[Y0 : $i]: ((reli @ sK4 @ Y0) => (sK2 @ Y0))) @ sK5) = $false)),
% 0.21/0.44 inference(sigma_clausification,[],[f183])).
% 0.21/0.44 thf(f183,plain,(
% 0.21/0.44 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (sK2 @ Y0)))) = $false)),
% 0.21/0.44 inference(boolean_simplification,[],[f182])).
% 0.21/0.44 thf(f182,plain,(
% 0.21/0.44 (($false | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (sK2 @ Y0))))) = $false)),
% 0.21/0.44 inference(backward_demodulation,[],[f179,f181])).
% 0.21/0.44 thf(f181,plain,(
% 0.21/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))))) = $false)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f179])).
% 0.21/0.44 thf(f179,plain,(
% 0.21/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (sK2 @ Y0))))) = $false)),
% 0.21/0.44 inference(boolean_simplification,[],[f178])).
% 0.21/0.44 thf(f178,plain,(
% 0.21/0.44 (($true => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (sK2 @ Y0)))))) = $false)),
% 0.21/0.44 inference(backward_demodulation,[],[f175,f177])).
% 0.21/0.44 thf(f177,plain,(
% 0.21/0.44 ((reli @ sK3 @ sK4) = $true)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f175])).
% 0.21/0.44 thf(f175,plain,(
% 0.21/0.44 (((reli @ sK3 @ sK4) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (sK2 @ Y0)))))) = $false)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f174])).
% 0.21/0.44 thf(f174,plain,(
% 0.21/0.44 (((^[Y0 : $i]: ((reli @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1))))))) @ sK4) = $false)),
% 0.21/0.44 inference(sigma_clausification,[],[f173])).
% 0.21/0.44 thf(f173,plain,(
% 0.21/0.44 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK3 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK2 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1)))))))) = $false)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f172])).
% 0.21/0.44 thf(f172,plain,(
% 0.21/0.44 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))) @ sK3) = $false)),
% 0.21/0.44 inference(sigma_clausification,[],[f171])).
% 0.21/0.44 thf(f171,plain,(
% 0.21/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK2 @ Y4))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2)))))))))) = $false)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f170])).
% 0.21/0.44 thf(f170,plain,(
% 0.21/0.44 ($false = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (Y0 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (Y0 @ Y3))))))))))) @ sK2))),
% 0.21/0.44 inference(sigma_clausification,[],[f167])).
% 0.21/0.44 thf(f167,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (Y0 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (Y0 @ Y3)))))))))))) = $false)),
% 0.21/0.44 inference(not_proxy_clausification,[],[f139])).
% 0.21/0.44 thf(f139,plain,(
% 0.21/0.44 ($true = (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (Y0 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (Y0 @ Y3))))))))))))))),
% 0.21/0.44 inference(beta_eta_normalization,[],[f134])).
% 0.21/0.44 thf(f134,plain,(
% 0.21/0.44 ($true = (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (Y2 @ Y3)))) @ Y1)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y5 @ Y7) | (Y6 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ Y4)))) @ Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ relr @ Y1))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))))))),
% 0.21/0.44 inference(definition_unfolding,[],[f115,f129,f124,f128,f121,f121])).
% 0.21/0.44 thf(f121,plain,(
% 0.21/0.44 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 0.21/0.44 inference(definition_unfolding,[],[f102,f96])).
% 0.21/0.44 thf(f96,plain,(
% 0.21/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f41])).
% 0.21/0.44 thf(f41,plain,(
% 0.21/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.21/0.44 inference(fool_elimination,[],[f40])).
% 0.21/0.44 thf(f40,plain,(
% 0.21/0.44 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.21/0.44 inference(rectify,[],[f8])).
% 0.21/0.44 thf(f8,axiom,(
% 0.21/0.44 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.21/0.44 thf(f102,plain,(
% 0.21/0.44 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.21/0.44 inference(cnf_transformation,[],[f84])).
% 0.21/0.44 thf(f84,plain,(
% 0.21/0.44 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.21/0.44 inference(fool_elimination,[],[f83])).
% 0.21/0.44 thf(f83,plain,(
% 0.21/0.44 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 0.21/0.44 inference(rectify,[],[f16])).
% 0.21/0.44 thf(f16,axiom,(
% 0.21/0.44 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_atom)).
% 0.21/0.44 thf(f128,plain,(
% 0.21/0.44 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 0.21/0.44 inference(definition_unfolding,[],[f89,f96,f96])).
% 0.21/0.44 thf(f89,plain,(
% 0.21/0.44 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 0.21/0.44 inference(cnf_transformation,[],[f70])).
% 0.21/0.44 thf(f70,plain,(
% 0.21/0.44 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 0.21/0.44 inference(fool_elimination,[],[f69])).
% 0.21/0.44 thf(f69,plain,(
% 0.21/0.44 ((^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))) = cs4_box)),
% 0.21/0.44 inference(rectify,[],[f23])).
% 0.21/0.44 thf(f23,axiom,(
% 0.21/0.44 ((^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))) = cs4_box)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_box)).
% 0.21/0.44 thf(f124,plain,(
% 0.21/0.44 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.21/0.44 inference(definition_unfolding,[],[f116,f96,f119])).
% 0.21/0.44 thf(f119,plain,(
% 0.21/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.44 inference(definition_unfolding,[],[f111,f114,f112])).
% 0.21/0.44 thf(f112,plain,(
% 0.21/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f72])).
% 0.21/0.44 thf(f72,plain,(
% 0.21/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.44 inference(fool_elimination,[],[f71])).
% 0.21/0.44 thf(f71,plain,(
% 0.21/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.21/0.44 inference(rectify,[],[f3])).
% 0.21/0.44 thf(f3,axiom,(
% 0.21/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.21/0.44 thf(f114,plain,(
% 0.21/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f68])).
% 0.21/0.44 thf(f68,plain,(
% 0.21/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.44 inference(fool_elimination,[],[f67])).
% 0.21/0.44 thf(f67,plain,(
% 0.21/0.44 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.21/0.44 inference(rectify,[],[f4])).
% 0.21/0.44 thf(f4,axiom,(
% 0.21/0.44 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))) = mor)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.21/0.44 thf(f111,plain,(
% 0.21/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.44 inference(cnf_transformation,[],[f86])).
% 0.21/0.44 thf(f86,plain,(
% 0.21/0.44 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.44 inference(fool_elimination,[],[f85])).
% 0.21/0.44 thf(f85,plain,(
% 0.21/0.44 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.21/0.44 inference(rectify,[],[f6])).
% 0.21/0.44 thf(f6,axiom,(
% 0.21/0.44 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.21/0.44 thf(f116,plain,(
% 0.21/0.44 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f43])).
% 0.21/0.44 thf(f43,plain,(
% 0.21/0.44 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.21/0.44 inference(fool_elimination,[],[f42])).
% 0.21/0.44 thf(f42,plain,(
% 0.21/0.44 (cs4_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))))),
% 0.21/0.44 inference(rectify,[],[f19])).
% 0.21/0.44 thf(f19,axiom,(
% 0.21/0.44 (cs4_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_impl)).
% 0.21/0.44 thf(f129,plain,(
% 0.21/0.44 (cs4_valid = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.21/0.44 inference(definition_unfolding,[],[f113,f109])).
% 0.21/0.44 thf(f109,plain,(
% 0.21/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.44 inference(cnf_transformation,[],[f88])).
% 0.21/0.44 thf(f88,plain,(
% 0.21/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.44 inference(fool_elimination,[],[f87])).
% 0.21/0.44 thf(f87,plain,(
% 0.21/0.44 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.44 inference(rectify,[],[f12])).
% 0.21/0.44 thf(f12,axiom,(
% 0.21/0.44 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.44 thf(f113,plain,(
% 0.21/0.44 (cs4_valid = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.21/0.44 inference(cnf_transformation,[],[f57])).
% 0.21/0.44 thf(f57,plain,(
% 0.21/0.44 (cs4_valid = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.21/0.44 inference(fool_elimination,[],[f56])).
% 0.21/0.44 thf(f56,plain,(
% 0.21/0.44 ((^[X0 : $i > $o] : (mvalid @ X0)) = cs4_valid)),
% 0.21/0.44 inference(rectify,[],[f24])).
% 0.21/0.44 thf(f24,axiom,(
% 0.21/0.44 ((^[X7 : $i > $o] : (mvalid @ X7)) = cs4_valid)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_valid_def)).
% 0.21/0.44 thf(f115,plain,(
% 0.21/0.44 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_atom @ Y0)) @ (cs4_atom @ Y0)))))) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f61])).
% 0.21/0.44 thf(f61,plain,(
% 0.21/0.44 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_atom @ Y0)) @ (cs4_atom @ Y0)))))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f60])).
% 0.21/0.44 thf(f60,plain,(
% 0.21/0.44 ~! [X0 : $i > $o] : (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_atom @ X0)) @ (cs4_atom @ X0)))),
% 0.21/0.44 inference(rectify,[],[f31])).
% 0.21/0.44 thf(f31,negated_conjecture,(
% 0.21/0.44 ~! [X7 : $i > $o] : (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_atom @ X7)) @ (cs4_atom @ X7)))),
% 0.21/0.44 inference(negated_conjecture,[],[f30])).
% 0.21/0.44 thf(f30,conjecture,(
% 0.21/0.44 ! [X7 : $i > $o] : (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_atom @ X7)) @ (cs4_atom @ X7)))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_refl)).
% 0.21/0.44 thf(f145,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((relr @ X2 @ Y0) => (X1 @ Y0))))) | (X1 @ X2)))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f144])).
% 0.21/0.44 thf(f144,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0))) @ X2))) )),
% 0.21/0.44 inference(pi_clausification,[],[f143])).
% 0.21/0.44 thf(f143,plain,(
% 0.21/0.44 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0)))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f142])).
% 0.21/0.44 thf(f142,plain,(
% 0.21/0.44 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1))))) @ X1))) )),
% 0.21/0.44 inference(pi_clausification,[],[f136])).
% 0.21/0.44 thf(f136,plain,(
% 0.21/0.44 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1)))))))),
% 0.21/0.44 inference(beta_eta_normalization,[],[f132])).
% 0.21/0.44 thf(f132,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0) @ Y0)))) = $true)),
% 0.21/0.44 inference(definition_unfolding,[],[f108,f109,f119,f96])).
% 0.21/0.44 thf(f108,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ relr @ Y0) @ Y0)))) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f34])).
% 0.21/0.44 thf(f34,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ relr @ Y0) @ Y0)))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f33])).
% 0.21/0.44 thf(f33,plain,(
% 0.21/0.44 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X0) @ X0))),
% 0.21/0.44 inference(rectify,[],[f26])).
% 0.21/0.44 thf(f26,axiom,(
% 0.21/0.44 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ relr @ X7) @ X7))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom_r)).
% 0.21/0.44 thf(f327,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = ((relr @ sK5 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (sK2 @ Y0))))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f322])).
% 0.21/0.44 thf(f322,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((relr @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1)))))) @ X1))) )),
% 0.21/0.44 inference(pi_clausification,[],[f271])).
% 0.21/0.44 thf(f271,plain,(
% 0.21/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((relr @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1))))))))),
% 0.21/0.44 inference(boolean_simplification,[],[f270])).
% 0.21/0.44 thf(f270,plain,(
% 0.21/0.44 (($true => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1)))))))) = $true)),
% 0.21/0.44 inference(superposition,[],[f264,f197])).
% 0.21/0.44 thf(f264,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = ((reli @ sK4 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK2 @ Y1)))))))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f263])).
% 0.21/0.44 thf(f263,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2))))))))) @ X1))) )),
% 0.21/0.44 inference(pi_clausification,[],[f256])).
% 0.21/0.44 thf(f256,plain,(
% 0.21/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK4 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK2 @ Y2)))))))))))),
% 0.21/0.44 inference(not_proxy_clausification,[],[f181])).
% 0.21/0.44 thf(f261,plain,(
% 0.21/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (sK2 @ Y0))))))),
% 0.21/0.44 inference(boolean_simplification,[],[f259])).
% 0.21/0.44 thf(f259,plain,(
% 0.21/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (sK2 @ Y0))))) | $false) = $true)),
% 0.21/0.44 inference(superposition,[],[f150,f250])).
% 0.21/0.44 thf(f250,plain,(
% 0.21/0.44 ((sK2 @ sK7) = $false)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f249])).
% 0.21/0.44 thf(f150,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i > $o] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X1 @ Y0))))) | (X1 @ X2)) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f149])).
% 0.21/0.44 thf(f149,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0))) @ X2) = $true)) )),
% 0.21/0.44 inference(pi_clausification,[],[f148])).
% 0.21/0.44 thf(f148,plain,(
% 0.21/0.44 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X1 @ Y1))))) | (X1 @ Y0)))) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f147])).
% 0.21/0.44 thf(f147,plain,(
% 0.21/0.44 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1))))) @ X1))) )),
% 0.21/0.44 inference(pi_clausification,[],[f140])).
% 0.21/0.44 thf(f140,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (Y0 @ Y2))))) | (Y0 @ Y1)))))) = $true)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f135])).
% 0.21/0.44 thf(f135,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0) @ Y0)))) = $true)),
% 0.21/0.44 inference(definition_unfolding,[],[f117,f109,f119,f96])).
% 0.21/0.44 thf(f117,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ reli @ Y0) @ Y0)))) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f78])).
% 0.21/0.44 thf(f78,plain,(
% 0.21/0.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ reli @ Y0) @ Y0)))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f77])).
% 0.21/0.44 thf(f77,plain,(
% 0.21/0.44 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0))),
% 0.21/0.44 inference(rectify,[],[f25])).
% 0.21/0.44 thf(f25,axiom,(
% 0.21/0.44 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ X7))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom_i)).
% 0.21/0.44 % SZS output end Proof for theBenchmark
% 0.21/0.44 % (1086)------------------------------
% 0.21/0.44 % (1086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (1086)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (1086)Memory used [KB]: 5884
% 0.21/0.44 % (1086)Time elapsed: 0.040 s
% 0.21/0.44 % (1086)Instructions burned: 53 (million)
% 0.21/0.44 % (1086)------------------------------
% 0.21/0.44 % (1086)------------------------------
% 0.21/0.44 % (1064)Success in time 0.075 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------