TSTP Solution File: LCL956^18 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL956^18 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 00:24:11 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL956^18 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 01:54:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (24085)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (24085)Instruction limit reached!
% 0.13/0.37 % (24085)------------------------------
% 0.13/0.37 % (24085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24085)Termination reason: Unknown
% 0.13/0.37 % (24085)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (24085)Memory used [KB]: 1023
% 0.13/0.37 % (24085)Time elapsed: 0.003 s
% 0.13/0.37 % (24085)Instructions burned: 2 (million)
% 0.13/0.37 % (24085)------------------------------
% 0.13/0.37 % (24085)------------------------------
% 0.13/0.37 % (24082)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (24084)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)
% 0.13/0.37 % (24086)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)
% 0.13/0.37 % (24083)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)
% 0.13/0.37 % (24087)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)
% 0.13/0.37 % (24088)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (24089)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)
% 0.13/0.37 % (24086)Instruction limit reached!
% 0.13/0.37 % (24086)------------------------------
% 0.13/0.37 % (24086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24086)Termination reason: Unknown
% 0.13/0.37 % (24086)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (24086)Memory used [KB]: 1023
% 0.13/0.37 % (24086)Time elapsed: 0.003 s
% 0.13/0.37 % (24086)Instructions burned: 2 (million)
% 0.13/0.37 % (24086)------------------------------
% 0.13/0.37 % (24086)------------------------------
% 0.13/0.37 % (24089)Instruction limit reached!
% 0.13/0.37 % (24089)------------------------------
% 0.13/0.37 % (24089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24089)Termination reason: Unknown
% 0.13/0.37 % (24089)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (24089)Memory used [KB]: 1023
% 0.13/0.37 % (24089)Time elapsed: 0.004 s
% 0.13/0.37 % (24089)Instructions burned: 3 (million)
% 0.13/0.37 % (24089)------------------------------
% 0.13/0.37 % (24089)------------------------------
% 0.13/0.37 % (24083)Instruction limit reached!
% 0.13/0.37 % (24083)------------------------------
% 0.13/0.37 % (24083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24083)Termination reason: Unknown
% 0.13/0.37 % (24083)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (24083)Memory used [KB]: 1023
% 0.13/0.37 % (24083)Time elapsed: 0.004 s
% 0.13/0.37 % (24083)Instructions burned: 5 (million)
% 0.13/0.37 % (24083)------------------------------
% 0.13/0.37 % (24083)------------------------------
% 0.13/0.37 % (24087)Refutation not found, incomplete strategy
% 0.13/0.37 % (24087)------------------------------
% 0.13/0.37 % (24087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24087)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (24087)Memory used [KB]: 5500
% 0.13/0.37 % (24087)Time elapsed: 0.006 s
% 0.13/0.37 % (24087)Instructions burned: 7 (million)
% 0.13/0.37 % (24087)------------------------------
% 0.13/0.37 % (24087)------------------------------
% 0.13/0.38 % (24090)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)
% 0.13/0.38 % (24088)Instruction limit reached!
% 0.13/0.38 % (24088)------------------------------
% 0.13/0.38 % (24088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (24088)Termination reason: Unknown
% 0.13/0.38 % (24088)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (24088)Memory used [KB]: 5628
% 0.13/0.38 % (24088)Time elapsed: 0.012 s
% 0.13/0.38 % (24088)Instructions burned: 19 (million)
% 0.13/0.38 % (24088)------------------------------
% 0.13/0.38 % (24088)------------------------------
% 0.13/0.38 % (24084)Instruction limit reached!
% 0.13/0.38 % (24084)------------------------------
% 0.13/0.38 % (24084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (24084)Termination reason: Unknown
% 0.13/0.38 % (24084)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (24084)Memory used [KB]: 5756
% 0.13/0.38 % (24084)Time elapsed: 0.017 s
% 0.13/0.38 % (24084)Instructions burned: 28 (million)
% 0.13/0.38 % (24084)------------------------------
% 0.13/0.38 % (24084)------------------------------
% 0.13/0.38 % (24091)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)
% 0.13/0.39 % (24092)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)
% 0.13/0.39 % (24093)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)
% 0.13/0.39 % (24092)Instruction limit reached!
% 0.13/0.39 % (24092)------------------------------
% 0.13/0.39 % (24092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24092)Termination reason: Unknown
% 0.13/0.39 % (24092)Termination phase: Function definition elimination
% 0.13/0.39
% 0.13/0.39 % (24092)Memory used [KB]: 1023
% 0.13/0.39 % (24092)Time elapsed: 0.004 s
% 0.13/0.39 % (24092)Instructions burned: 4 (million)
% 0.13/0.39 % (24092)------------------------------
% 0.13/0.39 % (24092)------------------------------
% 0.13/0.39 % (24094)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (24091)Instruction limit reached!
% 0.13/0.39 % (24091)------------------------------
% 0.13/0.39 % (24091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24091)Termination reason: Unknown
% 0.13/0.39 % (24091)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24091)Memory used [KB]: 5500
% 0.13/0.39 % (24091)Time elapsed: 0.010 s
% 0.13/0.39 % (24091)Instructions burned: 15 (million)
% 0.13/0.39 % (24091)------------------------------
% 0.13/0.39 % (24091)------------------------------
% 0.13/0.39 % (24094)Instruction limit reached!
% 0.13/0.39 % (24094)------------------------------
% 0.13/0.39 % (24094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24094)Termination reason: Unknown
% 0.13/0.39 % (24094)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24094)Memory used [KB]: 1023
% 0.13/0.39 % (24094)Time elapsed: 0.006 s
% 0.13/0.39 % (24094)Instructions burned: 7 (million)
% 0.13/0.39 % (24094)------------------------------
% 0.13/0.39 % (24094)------------------------------
% 0.13/0.39 % (24095)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39 % (24090)Instruction limit reached!
% 0.13/0.39 % (24090)------------------------------
% 0.13/0.39 % (24090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24090)Termination reason: Unknown
% 0.13/0.39 % (24090)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24090)Memory used [KB]: 5628
% 0.13/0.39 % (24090)Time elapsed: 0.018 s
% 0.13/0.39 % (24090)Instructions burned: 39 (million)
% 0.13/0.39 % (24090)------------------------------
% 0.13/0.39 % (24090)------------------------------
% 0.13/0.40 % (24096)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)
% 0.20/0.40 % (24096)Instruction limit reached!
% 0.20/0.40 % (24096)------------------------------
% 0.20/0.40 % (24096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (24096)Termination reason: Unknown
% 0.20/0.40 % (24096)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (24096)Memory used [KB]: 1023
% 0.20/0.40 % (24096)Time elapsed: 0.004 s
% 0.20/0.40 % (24096)Instructions burned: 4 (million)
% 0.20/0.40 % (24096)------------------------------
% 0.20/0.40 % (24096)------------------------------
% 0.20/0.40 % (24097)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)
% 0.20/0.40 % (24097)Instruction limit reached!
% 0.20/0.40 % (24097)------------------------------
% 0.20/0.40 % (24097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (24097)Termination reason: Unknown
% 0.20/0.40 % (24097)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (24097)Memory used [KB]: 1023
% 0.20/0.40 % (24097)Time elapsed: 0.004 s
% 0.20/0.40 % (24097)Instructions burned: 4 (million)
% 0.20/0.40 % (24097)------------------------------
% 0.20/0.40 % (24097)------------------------------
% 0.20/0.40 % (24095)Instruction limit reached!
% 0.20/0.40 % (24095)------------------------------
% 0.20/0.40 % (24095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (24095)Termination reason: Unknown
% 0.20/0.40 % (24095)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (24095)Memory used [KB]: 5756
% 0.20/0.40 % (24095)Time elapsed: 0.013 s
% 0.20/0.40 % (24095)Instructions burned: 16 (million)
% 0.20/0.40 % (24095)------------------------------
% 0.20/0.40 % (24095)------------------------------
% 0.20/0.40 % (24082)First to succeed.
% 0.20/0.40 % (24100)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.41 % (24100)Instruction limit reached!
% 0.20/0.41 % (24100)------------------------------
% 0.20/0.41 % (24100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (24100)Termination reason: Unknown
% 0.20/0.41 % (24100)Termination phase: Function definition elimination
% 0.20/0.41
% 0.20/0.41 % (24100)Memory used [KB]: 1023
% 0.20/0.41 % (24100)Time elapsed: 0.003 s
% 0.20/0.41 % (24100)Instructions burned: 4 (million)
% 0.20/0.41 % (24100)------------------------------
% 0.20/0.41 % (24100)------------------------------
% 0.20/0.41 % (24098)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)
% 0.20/0.41 % (24099)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)
% 0.20/0.41 % (24099)Instruction limit reached!
% 0.20/0.41 % (24099)------------------------------
% 0.20/0.41 % (24099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (24099)Termination reason: Unknown
% 0.20/0.41 % (24099)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (24099)Memory used [KB]: 1023
% 0.20/0.41 % (24099)Time elapsed: 0.004 s
% 0.20/0.41 % (24099)Instructions burned: 5 (million)
% 0.20/0.41 % (24099)------------------------------
% 0.20/0.41 % (24099)------------------------------
% 0.20/0.41 % (24098)Instruction limit reached!
% 0.20/0.41 % (24098)------------------------------
% 0.20/0.41 % (24098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (24098)Termination reason: Unknown
% 0.20/0.41 % (24098)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (24098)Memory used [KB]: 5500
% 0.20/0.41 % (24098)Time elapsed: 0.006 s
% 0.20/0.41 % (24098)Instructions burned: 8 (million)
% 0.20/0.41 % (24098)------------------------------
% 0.20/0.41 % (24098)------------------------------
% 0.20/0.41 % (24101)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)
% 0.20/0.42 % (24093)Also succeeded, but the first one will report.
% 0.20/0.42 % (24082)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% 0.20/0.42 thf(type_def_5, type, mworld: $tType).
% 0.20/0.42 thf(func_def_0, type, mworld: $tType).
% 0.20/0.42 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.20/0.42 thf(func_def_2, type, mactual: mworld).
% 0.20/0.42 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.20/0.42 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.20/0.42 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.20/0.42 thf(func_def_15, type, p: mworld > $o).
% 0.20/0.42 thf(func_def_16, type, big_q: $i > mworld > $o).
% 0.20/0.42 thf(func_def_30, type, sK0: mworld > $i).
% 0.20/0.42 thf(func_def_32, type, sK2: mworld).
% 0.20/0.42 thf(func_def_33, type, sK3: mworld).
% 0.20/0.42 thf(func_def_35, type, sK5: $i > mworld).
% 0.20/0.42 thf(func_def_36, type, sK6: mworld).
% 0.20/0.42 thf(func_def_38, type, sK8: mworld).
% 0.20/0.42 thf(func_def_39, type, sK9: $i > mworld).
% 0.20/0.42 thf(func_def_40, type, sK10: $i > mworld).
% 0.20/0.42 thf(func_def_44, type, sK14: $i > mworld).
% 0.20/0.42 thf(func_def_45, type, sK15: mworld).
% 0.20/0.42 thf(func_def_46, type, sK16: mworld).
% 0.20/0.42 thf(func_def_47, type, sK17: mworld).
% 0.20/0.42 thf(func_def_48, type, sK18: $i > mworld).
% 0.20/0.42 thf(func_def_49, type, sK19: $i > mworld).
% 0.20/0.42 thf(func_def_51, type, sK21: mworld).
% 0.20/0.42 thf(func_def_52, type, sK22: $i > mworld).
% 0.20/0.42 thf(func_def_53, type, sK23: $i > mworld).
% 0.20/0.42 thf(func_def_54, type, sK24: mworld).
% 0.20/0.42 thf(func_def_55, type, sK25: $i > mworld).
% 0.20/0.42 thf(func_def_56, type, sK26: $i > mworld).
% 0.20/0.42 thf(func_def_57, type, sK27: mworld).
% 0.20/0.42 thf(func_def_59, type, sK29: $i > mworld).
% 0.20/0.42 thf(func_def_60, type, sK30: $i > mworld).
% 0.20/0.42 thf(func_def_61, type, sK31: $i > mworld).
% 0.20/0.42 thf(func_def_62, type, sK32: $i > mworld).
% 0.20/0.42 thf(func_def_63, type, sK33: $i > mworld).
% 0.20/0.42 thf(func_def_64, type, sK34: mworld).
% 0.20/0.42 thf(func_def_65, type, sK35: $i > mworld).
% 0.20/0.42 thf(func_def_66, type, sK36: mworld).
% 0.20/0.42 thf(func_def_67, type, sK37: mworld).
% 0.20/0.42 thf(func_def_68, type, sK38: $i > mworld).
% 0.20/0.42 thf(func_def_69, type, sK39: mworld).
% 0.20/0.42 thf(func_def_70, type, sK40: mworld).
% 0.20/0.42 thf(func_def_71, type, sK41: mworld).
% 0.20/0.42 thf(func_def_72, type, sK42: $i > mworld).
% 0.20/0.42 thf(func_def_73, type, sK43: $i > mworld).
% 0.20/0.42 thf(func_def_74, type, sK44: $i > mworld).
% 0.20/0.42 thf(f1104,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(avatar_sat_refutation,[],[f395,f538,f566,f587,f591,f592,f653,f657,f658,f668,f791,f798,f845,f855,f864,f870,f880,f936,f963,f976,f988,f1041,f1063,f1103])).
% 0.20/0.42 thf(f1103,plain,(
% 0.20/0.42 ~spl1_45 | ~spl1_51 | ~spl1_52),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f1102])).
% 0.20/0.42 thf(f1102,plain,(
% 0.20/0.42 $false | (~spl1_45 | ~spl1_51 | ~spl1_52)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1096])).
% 0.20/0.42 thf(f1096,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_45 | ~spl1_51 | ~spl1_52)),
% 0.20/0.42 inference(superposition,[],[f586,f1085])).
% 0.20/0.42 thf(f1085,plain,(
% 0.20/0.42 ($false = (eiw_di @ sK20 @ sK3)) | (~spl1_45 | ~spl1_52)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1075])).
% 0.20/0.42 thf(f1075,plain,(
% 0.20/0.42 ($false = (eiw_di @ sK20 @ sK3)) | ($false = $true) | (~spl1_45 | ~spl1_52)),
% 0.20/0.42 inference(superposition,[],[f561,f806])).
% 0.20/0.42 thf(f806,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((big_q @ sK20 @ X0) = $true)) ) | ~spl1_52),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f803])).
% 0.20/0.42 thf(f803,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (($false = $true) | ((big_q @ sK20 @ X0) = $true)) ) | ~spl1_52),
% 0.20/0.42 inference(superposition,[],[f590,f59])).
% 0.20/0.42 thf(f59,plain,(
% 0.20/0.42 ( ! [X0 : mworld,X1 : mworld] : (($true = (mrel @ X1 @ X0))) )),
% 0.20/0.42 inference(cnf_transformation,[],[f30])).
% 0.20/0.42 thf(f30,plain,(
% 0.20/0.42 ! [X0 : mworld,X1 : mworld] : ($true = (mrel @ X1 @ X0))),
% 0.20/0.42 inference(fool_elimination,[],[f29])).
% 0.20/0.42 thf(f29,plain,(
% 0.20/0.42 ! [X0 : mworld,X1 : mworld] : (mrel @ X1 @ X0)),
% 0.20/0.42 inference(rectify,[],[f9])).
% 0.20/0.42 thf(f9,axiom,(
% 0.20/0.42 ! [X4 : mworld,X2 : mworld] : (mrel @ X2 @ X4)),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal)).
% 0.20/0.42 thf(f590,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($false = (mrel @ sK3 @ X1)) | ((big_q @ sK20 @ X1) = $true)) ) | ~spl1_52),
% 0.20/0.42 inference(avatar_component_clause,[],[f589])).
% 0.20/0.42 thf(f589,plain,(
% 0.20/0.42 spl1_52 <=> ! [X1 : mworld] : (((big_q @ sK20 @ X1) = $true) | ($false = (mrel @ sK3 @ X1)))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_52])])).
% 0.20/0.42 thf(f561,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((big_q @ X1 @ (sK23 @ X1)) = $false) | ((eiw_di @ X1 @ sK3) = $false)) ) | ~spl1_45),
% 0.20/0.42 inference(avatar_component_clause,[],[f560])).
% 0.20/0.42 thf(f560,plain,(
% 0.20/0.42 spl1_45 <=> ! [X1] : (((eiw_di @ X1 @ sK3) = $false) | ((big_q @ X1 @ (sK23 @ X1)) = $false))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_45])])).
% 0.20/0.42 thf(f586,plain,(
% 0.20/0.42 ((eiw_di @ sK20 @ sK3) = $true) | ~spl1_51),
% 0.20/0.42 inference(avatar_component_clause,[],[f584])).
% 0.20/0.42 thf(f584,plain,(
% 0.20/0.42 spl1_51 <=> ((eiw_di @ sK20 @ sK3) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_51])])).
% 0.20/0.42 thf(f1063,plain,(
% 0.20/0.42 ~spl1_3 | ~spl1_46 | ~spl1_54),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f1062])).
% 0.20/0.42 thf(f1062,plain,(
% 0.20/0.42 $false | (~spl1_3 | ~spl1_46 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1056])).
% 0.20/0.42 thf(f1056,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_3 | ~spl1_46 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f565,f1024])).
% 0.20/0.42 thf(f1024,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $false) | (~spl1_3 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1021])).
% 0.20/0.42 thf(f1021,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $false) | ($false = $true) | (~spl1_3 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f1003,f390])).
% 0.20/0.42 thf(f390,plain,(
% 0.20/0.42 ( ! [X2 : $i] : (((big_q @ X2 @ (sK44 @ X2)) = $false) | ((eiw_di @ X2 @ sK2) = $false)) ) | ~spl1_3),
% 0.20/0.42 inference(avatar_component_clause,[],[f389])).
% 0.20/0.42 thf(f389,plain,(
% 0.20/0.42 spl1_3 <=> ! [X2] : (((eiw_di @ X2 @ sK2) = $false) | ((big_q @ X2 @ (sK44 @ X2)) = $false))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.20/0.42 thf(f1003,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((big_q @ sK11 @ X0) = $true)) ) | ~spl1_54),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1001])).
% 0.20/0.42 thf(f1001,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((big_q @ sK11 @ X0) = $true) | ($false = $true)) ) | ~spl1_54),
% 0.20/0.42 inference(superposition,[],[f59,f599])).
% 0.20/0.42 thf(f599,plain,(
% 0.20/0.42 ( ! [X2 : mworld] : (((mrel @ sK2 @ X2) = $false) | ((big_q @ sK11 @ X2) = $true)) ) | ~spl1_54),
% 0.20/0.42 inference(avatar_component_clause,[],[f598])).
% 0.20/0.42 thf(f598,plain,(
% 0.20/0.42 spl1_54 <=> ! [X2 : mworld] : (((mrel @ sK2 @ X2) = $false) | ((big_q @ sK11 @ X2) = $true))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_54])])).
% 0.20/0.42 thf(f565,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $true) | ~spl1_46),
% 0.20/0.42 inference(avatar_component_clause,[],[f563])).
% 0.20/0.42 thf(f563,plain,(
% 0.20/0.42 spl1_46 <=> ((eiw_di @ sK11 @ sK2) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_46])])).
% 0.20/0.42 thf(f1041,plain,(
% 0.20/0.42 ~spl1_38 | ~spl1_46 | ~spl1_54),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f1040])).
% 0.20/0.42 thf(f1040,plain,(
% 0.20/0.42 $false | (~spl1_38 | ~spl1_46 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1033])).
% 0.20/0.42 thf(f1033,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_38 | ~spl1_46 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f1011,f565])).
% 0.20/0.42 thf(f1011,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $false) | (~spl1_38 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1006])).
% 0.20/0.42 thf(f1006,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $false) | ($false = $true) | (~spl1_38 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f533,f1003])).
% 0.20/0.42 thf(f533,plain,(
% 0.20/0.42 ( ! [X2 : $i] : (((big_q @ X2 @ (sK26 @ X2)) = $false) | ((eiw_di @ X2 @ sK2) = $false)) ) | ~spl1_38),
% 0.20/0.42 inference(avatar_component_clause,[],[f532])).
% 0.20/0.42 thf(f532,plain,(
% 0.20/0.42 spl1_38 <=> ! [X2] : (((big_q @ X2 @ (sK26 @ X2)) = $false) | ((eiw_di @ X2 @ sK2) = $false))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_38])])).
% 0.20/0.42 thf(f988,plain,(
% 0.20/0.42 ~spl1_39 | ~spl1_62),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f987])).
% 0.20/0.42 thf(f987,plain,(
% 0.20/0.42 $false | (~spl1_39 | ~spl1_62)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f977])).
% 0.20/0.42 thf(f977,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_39 | ~spl1_62)),
% 0.20/0.42 inference(superposition,[],[f754,f537])).
% 0.20/0.42 thf(f537,plain,(
% 0.20/0.42 ($false = (p @ sK24)) | ~spl1_39),
% 0.20/0.42 inference(avatar_component_clause,[],[f535])).
% 0.20/0.42 thf(f535,plain,(
% 0.20/0.42 spl1_39 <=> ($false = (p @ sK24))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_39])])).
% 0.20/0.42 thf(f754,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((p @ X0) = $true)) ) | ~spl1_62),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f751])).
% 0.20/0.42 thf(f751,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (($false = $true) | ((p @ X0) = $true)) ) | ~spl1_62),
% 0.20/0.42 inference(superposition,[],[f629,f59])).
% 0.20/0.42 thf(f629,plain,(
% 0.20/0.42 ( ! [X2 : mworld] : (((mrel @ sK2 @ X2) = $false) | ((p @ X2) = $true)) ) | ~spl1_62),
% 0.20/0.42 inference(avatar_component_clause,[],[f628])).
% 0.20/0.42 thf(f628,plain,(
% 0.20/0.42 spl1_62 <=> ! [X2 : mworld] : (((p @ X2) = $true) | ((mrel @ sK2 @ X2) = $false))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_62])])).
% 0.20/0.42 thf(f976,plain,(
% 0.20/0.42 ~spl1_89),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f975])).
% 0.20/0.42 thf(f975,plain,(
% 0.20/0.42 $false | ~spl1_89),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f972])).
% 0.20/0.42 thf(f972,plain,(
% 0.20/0.42 ($false = $true) | ~spl1_89),
% 0.20/0.42 inference(superposition,[],[f59,f930])).
% 0.20/0.42 thf(f930,plain,(
% 0.20/0.42 ((mrel @ sK3 @ (sK44 @ sK13)) = $false) | ~spl1_89),
% 0.20/0.42 inference(avatar_component_clause,[],[f928])).
% 0.20/0.42 thf(f928,plain,(
% 0.20/0.42 spl1_89 <=> ((mrel @ sK3 @ (sK44 @ sK13)) = $false)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_89])])).
% 0.20/0.42 thf(f963,plain,(
% 0.20/0.42 ~spl1_67 | ~spl1_90),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f962])).
% 0.20/0.42 thf(f962,plain,(
% 0.20/0.42 $false | (~spl1_67 | ~spl1_90)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f960])).
% 0.20/0.42 thf(f960,plain,(
% 0.20/0.42 ($true != $true) | (~spl1_67 | ~spl1_90)),
% 0.20/0.42 inference(superposition,[],[f946,f652])).
% 0.20/0.42 thf(f652,plain,(
% 0.20/0.42 ($true = (eiw_di @ sK13 @ sK3)) | ~spl1_67),
% 0.20/0.42 inference(avatar_component_clause,[],[f650])).
% 0.20/0.42 thf(f650,plain,(
% 0.20/0.42 spl1_67 <=> ($true = (eiw_di @ sK13 @ sK3))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_67])])).
% 0.20/0.42 thf(f946,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((eiw_di @ sK13 @ X0) != $true)) ) | ~spl1_90),
% 0.20/0.42 inference(subsumption_resolution,[],[f945,f59])).
% 0.20/0.42 thf(f945,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((eiw_di @ sK13 @ X0) != $true) | ((mrel @ X0 @ sK2) != $true)) ) | ~spl1_90),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f943])).
% 0.20/0.42 thf(f943,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (($false = $true) | ((mrel @ X0 @ sK2) != $true) | ((eiw_di @ sK13 @ X0) != $true)) ) | ~spl1_90),
% 0.20/0.42 inference(superposition,[],[f56,f934])).
% 0.20/0.42 thf(f934,plain,(
% 0.20/0.42 ((eiw_di @ sK13 @ sK2) = $false) | ~spl1_90),
% 0.20/0.42 inference(avatar_component_clause,[],[f932])).
% 0.20/0.42 thf(f932,plain,(
% 0.20/0.42 spl1_90 <=> ((eiw_di @ sK13 @ sK2) = $false)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_90])])).
% 0.20/0.42 thf(f56,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X0 : mworld,X1 : $i] : (((eiw_di @ X1 @ X2) = $true) | ((mrel @ X0 @ X2) != $true) | ((eiw_di @ X1 @ X0) != $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f46])).
% 0.20/0.42 thf(f46,plain,(
% 0.20/0.42 ! [X0 : mworld,X1,X2 : mworld] : (((eiw_di @ X1 @ X0) != $true) | ((eiw_di @ X1 @ X2) = $true) | ((mrel @ X0 @ X2) != $true))),
% 0.20/0.42 inference(flattening,[],[f45])).
% 0.20/0.42 thf(f45,plain,(
% 0.20/0.42 ! [X0 : mworld,X1,X2 : mworld] : (((eiw_di @ X1 @ X2) = $true) | (((mrel @ X0 @ X2) != $true) | ((eiw_di @ X1 @ X0) != $true)))),
% 0.20/0.42 inference(ennf_transformation,[],[f41])).
% 0.20/0.42 thf(f41,plain,(
% 0.20/0.42 ! [X0 : mworld,X1,X2 : mworld] : ((((mrel @ X0 @ X2) = $true) & ((eiw_di @ X1 @ X0) = $true)) => ((eiw_di @ X1 @ X2) = $true))),
% 0.20/0.42 inference(fool_elimination,[],[f40])).
% 0.20/0.42 thf(f40,plain,(
% 0.20/0.42 ! [X0 : mworld,X1,X2 : mworld] : (((eiw_di @ X1 @ X0) & (mrel @ X0 @ X2)) => (eiw_di @ X1 @ X2))),
% 0.20/0.42 inference(rectify,[],[f11])).
% 0.20/0.42 thf(f11,axiom,(
% 0.20/0.42 ! [X2 : mworld,X5,X4 : mworld] : (((eiw_di @ X5 @ X2) & (mrel @ X2 @ X4)) => (eiw_di @ X5 @ X4))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul)).
% 0.20/0.42 thf(f936,plain,(
% 0.20/0.42 spl1_89 | spl1_90 | ~spl1_3 | ~spl1_68),
% 0.20/0.42 inference(avatar_split_clause,[],[f923,f655,f389,f932,f928])).
% 0.20/0.42 thf(f655,plain,(
% 0.20/0.42 spl1_68 <=> ! [X2 : mworld] : (($false = (mrel @ sK3 @ X2)) | ($true = (big_q @ sK13 @ X2)))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_68])])).
% 0.20/0.42 thf(f923,plain,(
% 0.20/0.42 ((eiw_di @ sK13 @ sK2) = $false) | ((mrel @ sK3 @ (sK44 @ sK13)) = $false) | (~spl1_3 | ~spl1_68)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f920])).
% 0.20/0.42 thf(f920,plain,(
% 0.20/0.42 ($false = $true) | ((mrel @ sK3 @ (sK44 @ sK13)) = $false) | ((eiw_di @ sK13 @ sK2) = $false) | (~spl1_3 | ~spl1_68)),
% 0.20/0.42 inference(superposition,[],[f656,f390])).
% 0.20/0.42 thf(f656,plain,(
% 0.20/0.42 ( ! [X2 : mworld] : (($true = (big_q @ sK13 @ X2)) | ($false = (mrel @ sK3 @ X2))) ) | ~spl1_68),
% 0.20/0.42 inference(avatar_component_clause,[],[f655])).
% 0.20/0.42 thf(f880,plain,(
% 0.20/0.42 ~spl1_4 | ~spl1_37),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f879])).
% 0.20/0.42 thf(f879,plain,(
% 0.20/0.42 $false | (~spl1_4 | ~spl1_37)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f875])).
% 0.20/0.42 thf(f875,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_4 | ~spl1_37)),
% 0.20/0.42 inference(superposition,[],[f394,f743])).
% 0.20/0.42 thf(f743,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((p @ X0) = $true)) ) | ~spl1_37),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f740])).
% 0.20/0.42 thf(f740,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (($false = $true) | ((p @ X0) = $true)) ) | ~spl1_37),
% 0.20/0.42 inference(superposition,[],[f530,f59])).
% 0.20/0.42 thf(f530,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($false = (mrel @ sK3 @ X1)) | ((p @ X1) = $true)) ) | ~spl1_37),
% 0.20/0.42 inference(avatar_component_clause,[],[f529])).
% 0.20/0.42 thf(f529,plain,(
% 0.20/0.42 spl1_37 <=> ! [X1 : mworld] : (($false = (mrel @ sK3 @ X1)) | ((p @ X1) = $true))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_37])])).
% 0.20/0.42 thf(f394,plain,(
% 0.20/0.42 ($false = (p @ sK41)) | ~spl1_4),
% 0.20/0.42 inference(avatar_component_clause,[],[f392])).
% 0.20/0.42 thf(f392,plain,(
% 0.20/0.42 spl1_4 <=> ($false = (p @ sK41))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.20/0.42 thf(f870,plain,(
% 0.20/0.42 ~spl1_1 | ~spl1_37),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f869])).
% 0.20/0.42 thf(f869,plain,(
% 0.20/0.42 $false | (~spl1_1 | ~spl1_37)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f866])).
% 0.20/0.42 thf(f866,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_1 | ~spl1_37)),
% 0.20/0.42 inference(superposition,[],[f743,f384])).
% 0.20/0.42 thf(f384,plain,(
% 0.20/0.42 ($false = (p @ sK40)) | ~spl1_1),
% 0.20/0.42 inference(avatar_component_clause,[],[f382])).
% 0.20/0.42 thf(f382,plain,(
% 0.20/0.42 spl1_1 <=> ($false = (p @ sK40))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.20/0.42 thf(f864,plain,(
% 0.20/0.42 ~spl1_88),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f863])).
% 0.20/0.42 thf(f863,plain,(
% 0.20/0.42 $false | ~spl1_88),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f859])).
% 0.20/0.42 thf(f859,plain,(
% 0.20/0.42 ($false = $true) | ~spl1_88),
% 0.20/0.42 inference(superposition,[],[f843,f59])).
% 0.20/0.42 thf(f843,plain,(
% 0.20/0.42 ($false = (mrel @ sK3 @ (sK33 @ sK13))) | ~spl1_88),
% 0.20/0.42 inference(avatar_component_clause,[],[f841])).
% 0.20/0.42 thf(f841,plain,(
% 0.20/0.42 spl1_88 <=> ($false = (mrel @ sK3 @ (sK33 @ sK13)))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_88])])).
% 0.20/0.42 thf(f855,plain,(
% 0.20/0.42 ~spl1_67 | ~spl1_87),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f854])).
% 0.20/0.42 thf(f854,plain,(
% 0.20/0.42 $false | (~spl1_67 | ~spl1_87)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f846])).
% 0.20/0.42 thf(f846,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_67 | ~spl1_87)),
% 0.20/0.42 inference(superposition,[],[f839,f652])).
% 0.20/0.42 thf(f839,plain,(
% 0.20/0.42 ($false = (eiw_di @ sK13 @ sK3)) | ~spl1_87),
% 0.20/0.42 inference(avatar_component_clause,[],[f837])).
% 0.20/0.42 thf(f837,plain,(
% 0.20/0.42 spl1_87 <=> ($false = (eiw_di @ sK13 @ sK3))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_87])])).
% 0.20/0.42 thf(f845,plain,(
% 0.20/0.42 spl1_88 | spl1_87 | ~spl1_2 | ~spl1_68),
% 0.20/0.42 inference(avatar_split_clause,[],[f834,f655,f386,f837,f841])).
% 0.20/0.42 thf(f386,plain,(
% 0.20/0.42 spl1_2 <=> ! [X1] : (((eiw_di @ X1 @ sK3) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))))),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.20/0.42 thf(f834,plain,(
% 0.20/0.42 ($false = (mrel @ sK3 @ (sK33 @ sK13))) | ($false = (eiw_di @ sK13 @ sK3)) | (~spl1_2 | ~spl1_68)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f833])).
% 0.20/0.42 thf(f833,plain,(
% 0.20/0.42 ($false = $true) | ($false = (eiw_di @ sK13 @ sK3)) | ($false = (mrel @ sK3 @ (sK33 @ sK13))) | (~spl1_2 | ~spl1_68)),
% 0.20/0.42 inference(superposition,[],[f387,f656])).
% 0.20/0.42 thf(f387,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (($false = (big_q @ X1 @ (sK33 @ X1))) | ((eiw_di @ X1 @ sK3) = $false)) ) | ~spl1_2),
% 0.20/0.42 inference(avatar_component_clause,[],[f386])).
% 0.20/0.42 thf(f798,plain,(
% 0.20/0.42 ~spl1_37 | ~spl1_44),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f797])).
% 0.20/0.42 thf(f797,plain,(
% 0.20/0.42 $false | (~spl1_37 | ~spl1_44)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f794])).
% 0.20/0.42 thf(f794,plain,(
% 0.20/0.42 ($false = $true) | (~spl1_37 | ~spl1_44)),
% 0.20/0.42 inference(superposition,[],[f743,f558])).
% 0.20/0.42 thf(f558,plain,(
% 0.20/0.42 ((p @ sK21) = $false) | ~spl1_44),
% 0.20/0.42 inference(avatar_component_clause,[],[f556])).
% 0.20/0.42 thf(f556,plain,(
% 0.20/0.42 spl1_44 <=> ((p @ sK21) = $false)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_44])])).
% 0.20/0.42 thf(f791,plain,(
% 0.20/0.42 ~spl1_2 | ~spl1_46 | ~spl1_54),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f790])).
% 0.20/0.42 thf(f790,plain,(
% 0.20/0.42 $false | (~spl1_2 | ~spl1_46 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f788])).
% 0.20/0.42 thf(f788,plain,(
% 0.20/0.42 ($true != $true) | (~spl1_2 | ~spl1_46 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f775,f565])).
% 0.20/0.42 thf(f775,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((eiw_di @ sK11 @ X0) != $true)) ) | (~spl1_2 | ~spl1_54)),
% 0.20/0.42 inference(subsumption_resolution,[],[f774,f59])).
% 0.20/0.42 thf(f774,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((eiw_di @ sK11 @ X0) != $true) | ((mrel @ X0 @ sK3) != $true)) ) | (~spl1_2 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f771])).
% 0.20/0.42 thf(f771,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((eiw_di @ sK11 @ X0) != $true) | ((mrel @ X0 @ sK3) != $true) | ($false = $true)) ) | (~spl1_2 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f769,f56])).
% 0.20/0.42 thf(f769,plain,(
% 0.20/0.42 ($false = (eiw_di @ sK11 @ sK3)) | (~spl1_2 | ~spl1_54)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f766])).
% 0.20/0.42 thf(f766,plain,(
% 0.20/0.42 ($false = (eiw_di @ sK11 @ sK3)) | ($false = $true) | (~spl1_2 | ~spl1_54)),
% 0.20/0.42 inference(superposition,[],[f762,f387])).
% 0.20/0.42 thf(f762,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((big_q @ sK11 @ X0) = $true)) ) | ~spl1_54),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f760])).
% 0.20/0.42 thf(f760,plain,(
% 0.20/0.42 ( ! [X0 : mworld] : (((big_q @ sK11 @ X0) = $true) | ($false = $true)) ) | ~spl1_54),
% 0.20/0.42 inference(superposition,[],[f59,f599])).
% 0.20/0.42 thf(f668,plain,(
% 0.20/0.42 spl1_37 | spl1_62),
% 0.20/0.42 inference(avatar_split_clause,[],[f151,f628,f529])).
% 0.20/0.42 thf(f151,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (((p @ X2) = $true) | ((mrel @ sK2 @ X2) = $false) | ($false = (mrel @ sK3 @ X1)) | ((p @ X1) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f150])).
% 0.20/0.42 thf(f150,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ sK2 @ X2) => (p @ X2)) = $true) | ((p @ X1) = $true) | ($false = (mrel @ sK3 @ X1))) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f149])).
% 0.20/0.42 thf(f149,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (((p @ X1) = $true) | (((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))) @ X2) = $true) | ($false = (mrel @ sK3 @ X1))) )),
% 0.20/0.42 inference(pi_clausification,[],[f148])).
% 0.20/0.42 thf(f148,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((p @ X1) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) = $true) | ($false = (mrel @ sK3 @ X1))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f147])).
% 0.20/0.42 thf(f147,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((mrel @ sK3 @ X1) => (p @ X1)) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f146])).
% 0.20/0.42 thf(f146,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) = $true) | ($true = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0))) @ X1))) )),
% 0.20/0.42 inference(pi_clausification,[],[f145])).
% 0.20/0.42 thf(f145,plain,(
% 0.20/0.42 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f143])).
% 0.20/0.42 thf(f143,plain,(
% 0.20/0.42 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f141])).
% 0.20/0.42 thf(f141,plain,(
% 0.20/0.42 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0))))) = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f139])).
% 0.20/0.42 thf(f139,plain,(
% 0.20/0.42 ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0))))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f137])).
% 0.20/0.42 thf(f137,plain,(
% 0.20/0.42 ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0))))) & (eiw_di @ sK11 @ sK2)) = $true) | ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3))))))),
% 0.20/0.42 inference(beta_eta_normalization,[],[f136])).
% 0.20/0.42 thf(f136,plain,(
% 0.20/0.42 ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))))) | (((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2))) @ sK11) = $true)),
% 0.20/0.42 inference(sigma_clausification,[],[f135])).
% 0.20/0.42 thf(f135,plain,(
% 0.20/0.42 ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2)))) = $true) | ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3))))))),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f102])).
% 0.20/0.42 thf(f102,plain,(
% 0.20/0.42 ($false = ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))))) | ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3))))))),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f70])).
% 0.20/0.42 thf(f70,plain,(
% 0.20/0.42 (((mrel @ mactual @ sK3) => (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))))) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))))))),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f69])).
% 0.20/0.42 thf(f69,plain,(
% 0.20/0.42 ($false = ((mrel @ mactual @ sK2) => ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))))))) | (((mrel @ mactual @ sK3) => (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))))) = $false)),
% 0.20/0.42 inference(beta_eta_normalization,[],[f68])).
% 0.20/0.42 thf(f68,plain,(
% 0.20/0.42 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0))))))) @ sK3)) | ($false = ((mrel @ mactual @ sK2) => ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))))))),
% 0.20/0.42 inference(sigma_clausification,[],[f67])).
% 0.20/0.42 thf(f67,plain,(
% 0.20/0.42 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))))) = $false) | ($false = ((mrel @ mactual @ sK2) => ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK2)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))))))),
% 0.20/0.42 inference(beta_eta_normalization,[],[f66])).
% 0.20/0.42 thf(f66,plain,(
% 0.20/0.42 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0)))))))) @ sK2)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))))) = $false)),
% 0.20/0.42 inference(sigma_clausification,[],[f65])).
% 0.20/0.42 thf(f65,plain,(
% 0.20/0.42 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0)))))))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))))) = $false)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f64])).
% 0.20/0.42 thf(f64,plain,(
% 0.20/0.42 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (p @ Y1)))) & (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2)))) & (eiw_di @ Y1 @ Y0))))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (p @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (big_q @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0))))))))) != $true)),
% 0.20/0.42 inference(beta_eta_normalization,[],[f63])).
% 0.20/0.42 thf(f63,plain,(
% 0.20/0.42 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ p) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (big_q @ Y0))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (big_q @ Y0))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (big_q @ Y0))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ p) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (big_q @ Y0))))))))) != $true)),
% 0.20/0.42 inference(definition_unfolding,[],[f62,f54,f49,f55,f51,f52,f49,f55,f55,f49,f55,f52,f55,f55,f51,f49,f55,f52,f55,f52,f49,f55,f55])).
% 0.20/0.42 thf(f52,plain,(
% 0.20/0.42 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.20/0.42 inference(cnf_transformation,[],[f43])).
% 0.20/0.42 thf(f43,plain,(
% 0.20/0.42 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.20/0.42 inference(fool_elimination,[],[f42])).
% 0.20/0.42 thf(f42,plain,(
% 0.20/0.42 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))))),
% 0.20/0.42 inference(rectify,[],[f13])).
% 0.20/0.42 thf(f13,axiom,(
% 0.20/0.42 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.20/0.42 thf(f51,plain,(
% 0.20/0.42 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.20/0.42 inference(cnf_transformation,[],[f28])).
% 0.20/0.42 thf(f28,plain,(
% 0.20/0.42 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.20/0.42 inference(fool_elimination,[],[f27])).
% 0.20/0.42 thf(f27,plain,(
% 0.20/0.42 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.20/0.42 inference(rectify,[],[f5])).
% 0.20/0.42 thf(f5,axiom,(
% 0.20/0.42 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.20/0.42 thf(f55,plain,(
% 0.20/0.42 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.42 inference(cnf_transformation,[],[f37])).
% 0.20/0.42 thf(f37,plain,(
% 0.20/0.42 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.42 inference(fool_elimination,[],[f36])).
% 0.20/0.42 thf(f36,plain,(
% 0.20/0.42 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.20/0.42 inference(rectify,[],[f7])).
% 0.20/0.42 thf(f7,axiom,(
% 0.20/0.42 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.20/0.42 thf(f49,plain,(
% 0.20/0.42 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.20/0.42 inference(cnf_transformation,[],[f20])).
% 0.20/0.42 thf(f20,plain,(
% 0.20/0.42 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.20/0.42 inference(fool_elimination,[],[f19])).
% 0.20/0.42 thf(f19,plain,(
% 0.20/0.42 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.20/0.42 inference(rectify,[],[f3])).
% 0.20/0.42 thf(f3,axiom,(
% 0.20/0.42 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.20/0.42 thf(f54,plain,(
% 0.20/0.42 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.20/0.42 inference(cnf_transformation,[],[f35])).
% 0.20/0.42 thf(f35,plain,(
% 0.20/0.42 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.20/0.42 inference(fool_elimination,[],[f1])).
% 0.20/0.42 thf(f1,axiom,(
% 0.20/0.42 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.20/0.42 thf(f62,plain,(
% 0.20/0.42 ((mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mand @ (mbox @ p) @ (mbox @ (big_q @ Y0))))) @ (mand @ (mbox @ p) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (big_q @ Y0))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ p) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (big_q @ Y0))))) @ (mexists_di @ (^[Y0 : $i]: (mand @ (mbox @ p) @ (mbox @ (big_q @ Y0))))))))) != $true)),
% 0.20/0.42 inference(cnf_transformation,[],[f44])).
% 0.20/0.42 thf(f44,plain,(
% 0.20/0.42 ((mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mand @ (mbox @ p) @ (mbox @ (big_q @ Y0))))) @ (mand @ (mbox @ p) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (big_q @ Y0))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ p) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (big_q @ Y0))))) @ (mexists_di @ (^[Y0 : $i]: (mand @ (mbox @ p) @ (mbox @ (big_q @ Y0))))))))) != $true)),
% 0.20/0.42 inference(flattening,[],[f22])).
% 0.20/0.42 thf(f22,plain,(
% 0.20/0.42 ~((mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mand @ (mbox @ p) @ (mbox @ (big_q @ Y0))))) @ (mand @ (mbox @ p) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (big_q @ Y0))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ p) @ (mexists_di @ (^[Y0 : $i]: (mbox @ (big_q @ Y0))))) @ (mexists_di @ (^[Y0 : $i]: (mand @ (mbox @ p) @ (mbox @ (big_q @ Y0))))))))) = $true)),
% 0.20/0.42 inference(fool_elimination,[],[f21])).
% 0.20/0.42 thf(f21,plain,(
% 0.20/0.42 ~(mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[X0 : $i] : (mand @ (mbox @ p) @ (mbox @ (big_q @ X0))))) @ (mand @ (mbox @ p) @ (mexists_di @ (^[X1 : $i] : (mbox @ (big_q @ X1))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ p) @ (mexists_di @ (^[X2 : $i] : (mbox @ (big_q @ X2))))) @ (mexists_di @ (^[X3 : $i] : (mand @ (mbox @ p) @ (mbox @ (big_q @ X3)))))))))),
% 0.20/0.42 inference(rectify,[],[f15])).
% 0.20/0.42 thf(f15,negated_conjecture,(
% 0.20/0.42 ~(mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[X5 : $i] : (mand @ (mbox @ p) @ (mbox @ (big_q @ X5))))) @ (mand @ (mbox @ p) @ (mexists_di @ (^[X5 : $i] : (mbox @ (big_q @ X5))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ p) @ (mexists_di @ (^[X5 : $i] : (mbox @ (big_q @ X5))))) @ (mexists_di @ (^[X5 : $i] : (mand @ (mbox @ p) @ (mbox @ (big_q @ X5)))))))))),
% 0.20/0.42 inference(negated_conjecture,[],[f14])).
% 0.20/0.42 thf(f14,conjecture,(
% 0.20/0.42 (mlocal @ (mand @ (mbox @ (mimplies @ (mexists_di @ (^[X5 : $i] : (mand @ (mbox @ p) @ (mbox @ (big_q @ X5))))) @ (mand @ (mbox @ p) @ (mexists_di @ (^[X5 : $i] : (mbox @ (big_q @ X5))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ p) @ (mexists_di @ (^[X5 : $i] : (mbox @ (big_q @ X5))))) @ (mexists_di @ (^[X5 : $i] : (mand @ (mbox @ p) @ (mbox @ (big_q @ X5)))))))))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2109)).
% 0.20/0.42 thf(f658,plain,(
% 0.20/0.42 spl1_54 | spl1_37),
% 0.20/0.42 inference(avatar_split_clause,[],[f170,f529,f598])).
% 0.20/0.42 thf(f170,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (((big_q @ sK11 @ X1) = $true) | ((mrel @ sK2 @ X1) = $false) | ((p @ X2) = $true) | ($false = (mrel @ sK3 @ X2))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f169])).
% 0.20/0.42 thf(f169,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (($false = (mrel @ sK3 @ X2)) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true) | ((p @ X2) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f168])).
% 0.20/0.42 thf(f168,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ sK3 @ X2) => (p @ X2)) = $true) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f167])).
% 0.20/0.42 thf(f167,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0))) @ X2)) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(pi_clausification,[],[f166])).
% 0.20/0.42 thf(f166,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f165])).
% 0.20/0.42 thf(f165,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true) | (((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0))) @ X1) = $true)) )),
% 0.20/0.42 inference(pi_clausification,[],[f164])).
% 0.20/0.42 thf(f164,plain,(
% 0.20/0.42 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0)))) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f142])).
% 0.20/0.42 thf(f142,plain,(
% 0.20/0.42 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f141])).
% 0.20/0.42 thf(f657,plain,(
% 0.20/0.42 spl1_54 | spl1_68),
% 0.20/0.42 inference(avatar_split_clause,[],[f180,f655,f598])).
% 0.20/0.42 thf(f180,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (((mrel @ sK2 @ X1) = $false) | ($false = (mrel @ sK3 @ X2)) | ((big_q @ sK11 @ X1) = $true) | ($true = (big_q @ sK13 @ X2))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f179])).
% 0.20/0.42 thf(f179,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : (((big_q @ sK11 @ X1) = $true) | ((mrel @ sK2 @ X1) = $false) | (((mrel @ sK3 @ X2) => (big_q @ sK13 @ X2)) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f178])).
% 0.20/0.42 thf(f178,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true) | (((mrel @ sK3 @ X2) => (big_q @ sK13 @ X2)) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f177])).
% 0.20/0.42 thf(f177,plain,(
% 0.20/0.42 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true) | (((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ sK13 @ Y0))) @ X2) = $true)) )),
% 0.20/0.42 inference(pi_clausification,[],[f176])).
% 0.20/0.42 thf(f176,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ sK13 @ Y0)))) = $true) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f174])).
% 0.20/0.42 thf(f174,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ sK13 @ Y0)))) & (eiw_di @ sK13 @ sK3)) = $true) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f173])).
% 0.20/0.42 thf(f173,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))) @ sK13)) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(sigma_clausification,[],[f172])).
% 0.20/0.42 thf(f172,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3)))) = $true) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f171])).
% 0.20/0.42 thf(f171,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0))) @ X1) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3)))) = $true)) )),
% 0.20/0.42 inference(pi_clausification,[],[f163])).
% 0.20/0.42 thf(f163,plain,(
% 0.20/0.42 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ sK11 @ Y0)))) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f142])).
% 0.20/0.42 thf(f653,plain,(
% 0.20/0.42 spl1_54 | spl1_67),
% 0.20/0.42 inference(avatar_split_clause,[],[f181,f650,f598])).
% 0.20/0.42 thf(f181,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($true = (eiw_di @ sK13 @ sK3)) | ((big_q @ sK11 @ X1) = $true) | ((mrel @ sK2 @ X1) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f175])).
% 0.20/0.42 thf(f175,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($true = (eiw_di @ sK13 @ sK3)) | (((mrel @ sK2 @ X1) => (big_q @ sK11 @ X1)) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f174])).
% 0.20/0.42 thf(f592,plain,(
% 0.20/0.42 spl1_46 | spl1_37),
% 0.20/0.42 inference(avatar_split_clause,[],[f226,f529,f563])).
% 0.20/0.42 thf(f226,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($false = (mrel @ sK3 @ X1)) | ((eiw_di @ sK11 @ sK2) = $true) | ((p @ X1) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f225])).
% 0.20/0.42 thf(f225,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((mrel @ sK3 @ X1) => (p @ X1)) = $true) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f224])).
% 0.20/0.42 thf(f224,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((eiw_di @ sK11 @ sK2) = $true) | ($true = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0))) @ X1))) )),
% 0.20/0.42 inference(pi_clausification,[],[f223])).
% 0.20/0.42 thf(f223,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f221])).
% 0.20/0.42 thf(f221,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f138])).
% 0.20/0.42 thf(f138,plain,(
% 0.20/0.42 ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))))) | ((eiw_di @ sK11 @ sK2) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f137])).
% 0.20/0.42 thf(f591,plain,(
% 0.20/0.42 spl1_52 | spl1_46),
% 0.20/0.42 inference(avatar_split_clause,[],[f233,f563,f589])).
% 0.20/0.42 thf(f233,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (((big_q @ sK20 @ X1) = $true) | ((eiw_di @ sK11 @ sK2) = $true) | ($false = (mrel @ sK3 @ X1))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f232])).
% 0.20/0.42 thf(f232,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((mrel @ sK3 @ X1) => (big_q @ sK20 @ X1)) = $true) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f231])).
% 0.20/0.42 thf(f231,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ sK20 @ Y0))) @ X1) = $true) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(pi_clausification,[],[f230])).
% 0.20/0.42 thf(f230,plain,(
% 0.20/0.42 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ sK20 @ Y0)))) = $true) | ((eiw_di @ sK11 @ sK2) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f228])).
% 0.20/0.42 thf(f228,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ sK20 @ Y0)))) & (eiw_di @ sK20 @ sK3)) = $true)),
% 0.20/0.42 inference(beta_eta_normalization,[],[f227])).
% 0.20/0.42 thf(f227,plain,(
% 0.20/0.42 (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))) @ sK20) = $true) | ((eiw_di @ sK11 @ sK2) = $true)),
% 0.20/0.42 inference(sigma_clausification,[],[f222])).
% 0.20/0.42 thf(f222,plain,(
% 0.20/0.42 ((eiw_di @ sK11 @ sK2) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f221])).
% 0.20/0.42 thf(f587,plain,(
% 0.20/0.42 spl1_46 | spl1_51),
% 0.20/0.42 inference(avatar_split_clause,[],[f229,f584,f563])).
% 0.20/0.42 thf(f229,plain,(
% 0.20/0.42 ((eiw_di @ sK20 @ sK3) = $true) | ((eiw_di @ sK11 @ sK2) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f228])).
% 0.20/0.42 thf(f566,plain,(
% 0.20/0.42 spl1_44 | spl1_45 | spl1_46),
% 0.20/0.42 inference(avatar_split_clause,[],[f248,f563,f560,f556])).
% 0.20/0.42 thf(f248,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK3) = $false) | ((p @ sK21) = $false) | ((eiw_di @ sK11 @ sK2) = $true) | ((big_q @ X1 @ (sK23 @ X1)) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f247])).
% 0.20/0.42 thf(f247,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (($false = ((mrel @ sK3 @ (sK23 @ X1)) => (big_q @ X1 @ (sK23 @ X1)))) | ((eiw_di @ X1 @ sK3) = $false) | ((p @ sK21) = $false) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f246])).
% 0.20/0.42 thf(f246,plain,(
% 0.20/0.42 ( ! [X1 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0))) @ (sK23 @ X1)) = $false) | ((p @ sK21) = $false) | ((eiw_di @ sK11 @ sK2) = $true) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.20/0.42 inference(sigma_clausification,[],[f240])).
% 0.20/0.42 thf(f240,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((p @ sK21) = $false) | ((eiw_di @ sK11 @ sK2) = $true) | ((eiw_di @ X1 @ sK3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f239])).
% 0.20/0.42 thf(f239,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK3) = $false) | ((eiw_di @ sK11 @ sK2) = $true) | (((mrel @ sK3 @ sK21) => (p @ sK21)) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f238])).
% 0.20/0.42 thf(f238,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false) | ((eiw_di @ sK11 @ sK2) = $true) | (((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0))) @ sK21) = $false)) )),
% 0.20/0.42 inference(sigma_clausification,[],[f237])).
% 0.20/0.42 thf(f237,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ((eiw_di @ sK11 @ sK2) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f236])).
% 0.20/0.42 thf(f236,plain,(
% 0.20/0.42 ( ! [X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f235])).
% 0.20/0.42 thf(f235,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0))))) & (eiw_di @ X1 @ sK3))) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f234])).
% 0.20/0.42 thf(f234,plain,(
% 0.20/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3))) @ X1) = $false) | ((eiw_di @ sK11 @ sK2) = $true)) )),
% 0.20/0.42 inference(pi_clausification,[],[f220])).
% 0.20/0.42 thf(f220,plain,(
% 0.20/0.42 ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))) = $false) | ((eiw_di @ sK11 @ sK2) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f138])).
% 0.20/0.42 thf(f538,plain,(
% 0.20/0.42 spl1_37 | spl1_38 | spl1_39),
% 0.20/0.42 inference(avatar_split_clause,[],[f277,f535,f532,f529])).
% 0.20/0.42 thf(f277,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : mworld] : (((big_q @ X2 @ (sK26 @ X2)) = $false) | ($false = (mrel @ sK3 @ X1)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (p @ sK24)) | ((p @ X1) = $true)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f276])).
% 0.20/0.42 thf(f276,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = (p @ sK24)) | ($false = (mrel @ sK3 @ X1)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = ((mrel @ sK2 @ (sK26 @ X2)) => (big_q @ X2 @ (sK26 @ X2)))) | ((p @ X1) = $true)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f275])).
% 0.20/0.42 thf(f275,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : mworld] : (((p @ X1) = $true) | ($false = ((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0))) @ (sK26 @ X2))) | ($false = (mrel @ sK3 @ X1)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (p @ sK24))) )),
% 0.20/0.42 inference(sigma_clausification,[],[f274])).
% 0.20/0.42 thf(f274,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) = $false) | ($false = (p @ sK24)) | ((p @ X1) = $true) | ($false = (mrel @ sK3 @ X1)) | ((eiw_di @ X2 @ sK2) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f273])).
% 0.20/0.42 thf(f273,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK3 @ X1)) | ((p @ X1) = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ($false = (p @ sK24))) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f272])).
% 0.20/0.42 thf(f272,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK3 @ X1)) | ((p @ X1) = $true) | ($false = (p @ sK24)) | (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))) @ X2) = $false)) )),
% 0.20/0.42 inference(pi_clausification,[],[f271])).
% 0.20/0.42 thf(f271,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($false = (p @ sK24)) | ((p @ X1) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false) | ($false = (mrel @ sK3 @ X1))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f270])).
% 0.20/0.42 thf(f270,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : ((((mrel @ sK3 @ X1) => (p @ X1)) = $true) | ($false = (p @ sK24)) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f269])).
% 0.20/0.42 thf(f269,plain,(
% 0.20/0.42 ( ! [X1 : mworld] : (($false = (p @ sK24)) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false) | ($true = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0))) @ X1))) )),
% 0.20/0.42 inference(pi_clausification,[],[f257])).
% 0.20/0.42 thf(f257,plain,(
% 0.20/0.42 ($false = (p @ sK24)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f256])).
% 0.20/0.42 thf(f256,plain,(
% 0.20/0.42 ($false = ((mrel @ sK2 @ sK24) => (p @ sK24))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false)),
% 0.20/0.42 inference(beta_eta_normalization,[],[f255])).
% 0.20/0.42 thf(f255,plain,(
% 0.20/0.42 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false) | ($false = ((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))) @ sK24))),
% 0.20/0.42 inference(sigma_clausification,[],[f254])).
% 0.20/0.42 thf(f254,plain,(
% 0.20/0.42 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))))) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f252])).
% 0.20/0.42 thf(f252,plain,(
% 0.20/0.42 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) = $true) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))))) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f251])).
% 0.20/0.42 thf(f251,plain,(
% 0.20/0.42 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) = $true)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f134])).
% 0.20/0.42 thf(f134,plain,(
% 0.20/0.42 ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK3))))) => (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f102])).
% 0.20/0.42 thf(f395,plain,(
% 0.20/0.42 spl1_1 | spl1_2 | spl1_3 | spl1_4),
% 0.20/0.42 inference(avatar_split_clause,[],[f379,f392,f389,f386,f382])).
% 0.20/0.42 thf(f379,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = (p @ sK41)) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (p @ sK40)) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ((eiw_di @ X2 @ sK2) = $false) | ((big_q @ X2 @ (sK44 @ X2)) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f375])).
% 0.20/0.42 thf(f375,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = (big_q @ X1 @ (sK33 @ X1))) | ($false = (p @ sK40)) | ((eiw_di @ X2 @ sK2) = $false) | ((big_q @ X2 @ (sK44 @ X2)) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = ((mrel @ sK3 @ sK41) => (p @ sK41)))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f374])).
% 0.20/0.42 thf(f374,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = ((mrel @ sK2 @ (sK44 @ X2)) => (big_q @ X2 @ (sK44 @ X2)))) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (p @ sK40)) | ($false = ((mrel @ sK3 @ sK41) => (p @ sK41)))) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f373])).
% 0.20/0.42 thf(f373,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = ((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0))) @ (sK44 @ X2))) | ($false = (p @ sK40)) | ((eiw_di @ X2 @ sK2) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ($false = ((mrel @ sK3 @ sK41) => (p @ sK41)))) )),
% 0.20/0.42 inference(sigma_clausification,[],[f372])).
% 0.20/0.42 thf(f372,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ($false = (p @ sK40)) | ($false = ((mrel @ sK3 @ sK41) => (p @ sK41))) | ((eiw_di @ X2 @ sK2) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f359])).
% 0.20/0.42 thf(f359,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = (p @ sK40)) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ($false = ((mrel @ sK3 @ sK41) => (p @ sK41)))) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f358])).
% 0.20/0.42 thf(f358,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : ((((mrel @ sK2 @ sK40) => (p @ sK40)) = $false) | ($false = ((mrel @ sK3 @ sK41) => (p @ sK41))) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ((eiw_di @ X1 @ sK3) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f357])).
% 0.20/0.42 thf(f357,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0))) @ sK41) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ((eiw_di @ X1 @ sK3) = $false) | (((mrel @ sK2 @ sK40) => (p @ sK40)) = $false)) )),
% 0.20/0.42 inference(sigma_clausification,[],[f356])).
% 0.20/0.42 thf(f356,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = (big_q @ X1 @ (sK33 @ X1))) | ((eiw_di @ X1 @ sK3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | (((mrel @ sK2 @ sK40) => (p @ sK40)) = $false)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f355])).
% 0.20/0.42 thf(f355,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))) @ sK40) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false)) )),
% 0.20/0.42 inference(sigma_clausification,[],[f326])).
% 0.20/0.42 thf(f326,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ($false = (big_q @ X1 @ (sK33 @ X1))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f325])).
% 0.20/0.42 thf(f325,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (($false = ((mrel @ sK3 @ (sK33 @ X1)) => (big_q @ X1 @ (sK33 @ X1)))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))))) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f324])).
% 0.20/0.42 thf(f324,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false) | ($false = ((^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0))) @ (sK33 @ X1))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))))) )),
% 0.20/0.42 inference(sigma_clausification,[],[f323])).
% 0.20/0.42 thf(f323,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ sK3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (big_q @ X2 @ Y0)))) & (eiw_di @ X2 @ sK2)) = $false)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f322])).
% 0.20/0.42 thf(f322,plain,(
% 0.20/0.42 ( ! [X2 : $i,X1 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false) | (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))) @ X2) = $false) | ((eiw_di @ X1 @ sK3) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))))) )),
% 0.20/0.42 inference(pi_clausification,[],[f321])).
% 0.20/0.42 thf(f321,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0))))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f320])).
% 0.20/0.42 thf(f320,plain,(
% 0.20/0.42 ( ! [X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) = $false) | ((eiw_di @ X1 @ sK3) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f319])).
% 0.20/0.42 thf(f319,plain,(
% 0.20/0.42 ( ! [X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0))))) = $false) | ((eiw_di @ X1 @ sK3) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false)) )),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f318])).
% 0.20/0.42 thf(f318,plain,(
% 0.20/0.42 ( ! [X1 : $i] : (($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (p @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK3 @ Y0) => (big_q @ X1 @ Y0))))) & (eiw_di @ X1 @ sK3))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false)) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f317])).
% 0.20/0.42 thf(f317,plain,(
% 0.20/0.42 ( ! [X1 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false) | (((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3))) @ X1) = $false)) )),
% 0.20/0.42 inference(pi_clausification,[],[f250])).
% 0.20/0.42 thf(f250,plain,(
% 0.20/0.42 ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (p @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK3 @ Y1) => (big_q @ Y0 @ Y1))))) & (eiw_di @ Y0 @ sK3)))) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (p @ Y0)))) & (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (big_q @ Y0 @ Y1)))) & (eiw_di @ Y0 @ sK2))))) = $false)),
% 0.20/0.42 inference(binary_proxy_clausification,[],[f134])).
% 0.20/0.42 % SZS output end Proof for theBenchmark
% 0.20/0.42 % (24082)------------------------------
% 0.20/0.42 % (24082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (24082)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (24082)Memory used [KB]: 6268
% 0.20/0.42 % (24082)Time elapsed: 0.050 s
% 0.20/0.42 % (24082)Instructions burned: 56 (million)
% 0.20/0.42 % (24082)------------------------------
% 0.20/0.42 % (24082)------------------------------
% 0.20/0.42 % (24081)Success in time 0.063 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------