TSTP Solution File: SYO062^4.002 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO062^4.002 : TPTP v8.2.0. Released v4.0.0.
% 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 : n020.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 09:02:35 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 : SYO062^4.002 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:19:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (23769)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)
% 0.15/0.38 % (23766)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)
% 0.15/0.38 % (23767)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (23771)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)
% 0.15/0.38 % (23770)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (23765)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)
% 0.15/0.38 % (23764)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (23768)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)
% 0.15/0.38 % (23767)Instruction limit reached!
% 0.15/0.38 % (23767)------------------------------
% 0.15/0.38 % (23767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23767)Termination reason: Unknown
% 0.15/0.38 % (23768)Instruction limit reached!
% 0.15/0.38 % (23768)------------------------------
% 0.15/0.38 % (23768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23768)Termination reason: Unknown
% 0.15/0.38 % (23768)Termination phase: Preprocessing 1
% 0.15/0.38
% 0.15/0.38 % (23768)Memory used [KB]: 1023
% 0.15/0.38 % (23768)Time elapsed: 0.004 s
% 0.15/0.38 % (23768)Instructions burned: 3 (million)
% 0.15/0.38 % (23768)------------------------------
% 0.15/0.38 % (23768)------------------------------
% 0.15/0.38 % (23767)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (23767)Memory used [KB]: 1023
% 0.15/0.38 % (23767)Time elapsed: 0.004 s
% 0.15/0.38 % (23767)Instructions burned: 3 (million)
% 0.15/0.38 % (23767)------------------------------
% 0.15/0.38 % (23767)------------------------------
% 0.15/0.38 % (23771)Instruction limit reached!
% 0.15/0.38 % (23771)------------------------------
% 0.15/0.38 % (23771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23771)Termination reason: Unknown
% 0.15/0.38 % (23771)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (23771)Memory used [KB]: 1023
% 0.15/0.38 % (23771)Time elapsed: 0.004 s
% 0.15/0.38 % (23771)Instructions burned: 3 (million)
% 0.15/0.38 % (23771)------------------------------
% 0.15/0.38 % (23771)------------------------------
% 0.15/0.38 % (23765)Instruction limit reached!
% 0.15/0.38 % (23765)------------------------------
% 0.15/0.38 % (23765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23765)Termination reason: Unknown
% 0.15/0.38 % (23765)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (23765)Memory used [KB]: 1023
% 0.15/0.38 % (23765)Time elapsed: 0.004 s
% 0.15/0.38 % (23765)Instructions burned: 4 (million)
% 0.15/0.38 % (23765)------------------------------
% 0.15/0.38 % (23765)------------------------------
% 0.15/0.38 % (23769)Refutation not found, incomplete strategy
% 0.15/0.38 % (23769)------------------------------
% 0.15/0.38 % (23769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23769)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (23769)Memory used [KB]: 5500
% 0.15/0.38 % (23769)Time elapsed: 0.005 s
% 0.15/0.38 % (23769)Instructions burned: 4 (million)
% 0.15/0.38 % (23769)------------------------------
% 0.15/0.38 % (23769)------------------------------
% 0.21/0.39 % (23770)Instruction limit reached!
% 0.21/0.39 % (23770)------------------------------
% 0.21/0.39 % (23770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (23770)Termination reason: Unknown
% 0.21/0.39 % (23770)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (23770)Memory used [KB]: 5628
% 0.21/0.39 % (23770)Time elapsed: 0.014 s
% 0.21/0.39 % (23770)Instructions burned: 18 (million)
% 0.21/0.39 % (23770)------------------------------
% 0.21/0.39 % (23770)------------------------------
% 0.21/0.39 % (23772)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)
% 0.21/0.39 % (23773)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)
% 0.21/0.39 % (23774)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)
% 0.21/0.40 % (23775)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)
% 0.21/0.40 % (23766)Instruction limit reached!
% 0.21/0.40 % (23766)------------------------------
% 0.21/0.40 % (23766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (23766)Termination reason: Unknown
% 0.21/0.40 % (23766)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23766)Memory used [KB]: 5628
% 0.21/0.40 % (23766)Time elapsed: 0.020 s
% 0.21/0.40 % (23776)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 % (23766)Instructions burned: 27 (million)
% 0.21/0.40 % (23766)------------------------------
% 0.21/0.40 % (23766)------------------------------
% 0.21/0.40 % (23774)Instruction limit reached!
% 0.21/0.40 % (23774)------------------------------
% 0.21/0.40 % (23774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (23774)Termination reason: Unknown
% 0.21/0.40 % (23774)Termination phase: Function definition elimination
% 0.21/0.40
% 0.21/0.40 % (23774)Memory used [KB]: 1023
% 0.21/0.40 % (23774)Time elapsed: 0.004 s
% 0.21/0.40 % (23774)Instructions burned: 4 (million)
% 0.21/0.40 % (23774)------------------------------
% 0.21/0.40 % (23774)------------------------------
% 0.21/0.40 % (23776)Instruction limit reached!
% 0.21/0.40 % (23776)------------------------------
% 0.21/0.40 % (23776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (23776)Termination reason: Unknown
% 0.21/0.40 % (23776)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23776)Memory used [KB]: 1023
% 0.21/0.40 % (23776)Time elapsed: 0.006 s
% 0.21/0.40 % (23776)Instructions burned: 7 (million)
% 0.21/0.40 % (23776)------------------------------
% 0.21/0.40 % (23776)------------------------------
% 0.21/0.40 % (23773)Instruction limit reached!
% 0.21/0.40 % (23773)------------------------------
% 0.21/0.40 % (23773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (23773)Termination reason: Unknown
% 0.21/0.40 % (23773)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23773)Memory used [KB]: 5628
% 0.21/0.40 % (23773)Time elapsed: 0.012 s
% 0.21/0.40 % (23773)Instructions burned: 16 (million)
% 0.21/0.40 % (23773)------------------------------
% 0.21/0.40 % (23773)------------------------------
% 0.21/0.40 % (23777)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (23778)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 % (23779)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 % (23778)Instruction limit reached!
% 0.21/0.41 % (23778)------------------------------
% 0.21/0.41 % (23778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (23778)Termination reason: Unknown
% 0.21/0.41 % (23778)Termination phase: Function definition elimination
% 0.21/0.41
% 0.21/0.41 % (23779)Instruction limit reached!
% 0.21/0.41 % (23779)------------------------------
% 0.21/0.41 % (23779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (23778)Memory used [KB]: 1023
% 0.21/0.41 % (23778)Time elapsed: 0.004 s
% 0.21/0.41 % (23778)Instructions burned: 4 (million)
% 0.21/0.41 % (23778)------------------------------
% 0.21/0.41 % (23778)------------------------------
% 0.21/0.41 % (23779)Termination reason: Unknown
% 0.21/0.41 % (23779)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (23779)Memory used [KB]: 1023
% 0.21/0.41 % (23779)Time elapsed: 0.004 s
% 0.21/0.41 % (23779)Instructions burned: 3 (million)
% 0.21/0.41 % (23779)------------------------------
% 0.21/0.41 % (23779)------------------------------
% 0.21/0.42 % (23780)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 % (23772)Instruction limit reached!
% 0.21/0.42 % (23772)------------------------------
% 0.21/0.42 % (23772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (23772)Termination reason: Unknown
% 0.21/0.42 % (23772)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (23772)Memory used [KB]: 5628
% 0.21/0.42 % (23772)Time elapsed: 0.023 s
% 0.21/0.42 % (23772)Instructions burned: 37 (million)
% 0.21/0.42 % (23772)------------------------------
% 0.21/0.42 % (23772)------------------------------
% 0.21/0.42 % (23777)Instruction limit reached!
% 0.21/0.42 % (23777)------------------------------
% 0.21/0.42 % (23777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (23777)Termination reason: Unknown
% 0.21/0.42 % (23777)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (23777)Memory used [KB]: 5756
% 0.21/0.42 % (23777)Time elapsed: 0.013 s
% 0.21/0.42 % (23777)Instructions burned: 16 (million)
% 0.21/0.42 % (23777)------------------------------
% 0.21/0.42 % (23777)------------------------------
% 0.21/0.42 % (23780)Refutation not found, incomplete strategy
% 0.21/0.42 % (23780)------------------------------
% 0.21/0.42 % (23780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (23780)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (23781)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
% 0.21/0.42 % (23780)Memory used [KB]: 5500
% 0.21/0.42 % (23780)Time elapsed: 0.006 s
% 0.21/0.42 % (23780)Instructions burned: 6 (million)
% 0.21/0.42 % (23780)------------------------------
% 0.21/0.42 % (23780)------------------------------
% 0.21/0.42 % (23781)Instruction limit reached!
% 0.21/0.42 % (23781)------------------------------
% 0.21/0.42 % (23781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (23781)Termination reason: Unknown
% 0.21/0.42 % (23781)Termination phase: Function definition elimination
% 0.21/0.42
% 0.21/0.42 % (23781)Memory used [KB]: 1023
% 0.21/0.42 % (23781)Time elapsed: 0.004 s
% 0.21/0.42 % (23781)Instructions burned: 4 (million)
% 0.21/0.42 % (23781)------------------------------
% 0.21/0.42 % (23781)------------------------------
% 0.21/0.43 % (23782)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 % (23783)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 % (23782)Instruction limit reached!
% 0.21/0.43 % (23782)------------------------------
% 0.21/0.43 % (23782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (23782)Termination reason: Unknown
% 0.21/0.43 % (23782)Termination phase: Function definition elimination
% 0.21/0.43
% 0.21/0.43 % (23782)Memory used [KB]: 1023
% 0.21/0.43 % (23782)Time elapsed: 0.004 s
% 0.21/0.43 % (23782)Instructions burned: 4 (million)
% 0.21/0.43 % (23782)------------------------------
% 0.21/0.43 % (23782)------------------------------
% 0.21/0.43 % (23764)First to succeed.
% 0.21/0.43 % (23784)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 % (23785)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.43 % (23784)Refutation not found, incomplete strategy
% 0.21/0.43 % (23784)------------------------------
% 0.21/0.43 % (23784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (23784)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (23784)Memory used [KB]: 5500
% 0.21/0.43 % (23784)Time elapsed: 0.005 s
% 0.21/0.43 % (23784)Instructions burned: 4 (million)
% 0.21/0.43 % (23784)------------------------------
% 0.21/0.43 % (23784)------------------------------
% 0.21/0.44 % (23785)Instruction limit reached!
% 0.21/0.44 % (23785)------------------------------
% 0.21/0.44 % (23785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (23785)Termination reason: Unknown
% 0.21/0.44 % (23785)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (23785)Memory used [KB]: 5500
% 0.21/0.44 % (23785)Time elapsed: 0.006 s
% 0.21/0.44 % (23785)Instructions burned: 7 (million)
% 0.21/0.44 % (23785)------------------------------
% 0.21/0.44 % (23785)------------------------------
% 0.21/0.44 % (23764)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(func_def_0, type, irel: $i > $i > $o).
% 0.21/0.44 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_9, type, itrue: $i > $o).
% 0.21/0.44 thf(func_def_10, type, ifalse: $i > $o).
% 0.21/0.44 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.44 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.21/0.44 thf(func_def_21, type, a: $i > $o).
% 0.21/0.44 thf(func_def_36, type, sK2: $i > $i).
% 0.21/0.44 thf(func_def_37, type, sK3: $i > $i).
% 0.21/0.44 thf(func_def_38, type, sK4: $i > $i).
% 0.21/0.44 thf(f738,plain,(
% 0.21/0.44 $false),
% 0.21/0.44 inference(avatar_sat_refutation,[],[f151,f467,f737])).
% 0.21/0.44 thf(f737,plain,(
% 0.21/0.44 spl0_2 | spl0_8),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f736])).
% 0.21/0.44 thf(f736,plain,(
% 0.21/0.44 $false | (spl0_2 | spl0_8)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f732])).
% 0.21/0.44 thf(f732,plain,(
% 0.21/0.44 ($true = $false) | (spl0_2 | spl0_8)),
% 0.21/0.44 inference(superposition,[],[f731,f215])).
% 0.21/0.44 thf(f215,plain,(
% 0.21/0.44 ($false = (a @ (sK3 @ (sK4 @ sK1)))) | spl0_2),
% 0.21/0.44 inference(subsumption_resolution,[],[f212,f142])).
% 0.21/0.44 thf(f142,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) != $false) | spl0_2),
% 0.21/0.44 inference(avatar_component_clause,[],[f141])).
% 0.21/0.44 thf(f141,plain,(
% 0.21/0.44 spl0_2 <=> ((irel @ sK1 @ sK1) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.21/0.44 thf(f212,plain,(
% 0.21/0.44 ($false = (a @ (sK3 @ (sK4 @ sK1)))) | ((irel @ sK1 @ sK1) = $false) | spl0_2),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f207])).
% 0.21/0.44 thf(f207,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) = $false) | ($false = (a @ (sK3 @ (sK4 @ sK1)))) | ($true != $true) | spl0_2),
% 0.21/0.44 inference(superposition,[],[f195,f123])).
% 0.21/0.44 thf(f123,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((irel @ (sK2 @ X1) @ (sK4 @ X1)) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f121])).
% 0.21/0.44 thf(f121,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((irel @ (sK2 @ X1) @ (sK4 @ X1)) => (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0)))))) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f120])).
% 0.21/0.44 thf(f120,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))))) @ (sK4 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f114])).
% 0.21/0.44 thf(f114,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))))))) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f112])).
% 0.21/0.44 thf(f112,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (a @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))))))) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f111])).
% 0.21/0.44 thf(f111,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((irel @ X1 @ (sK2 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (a @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))))))))) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f110])).
% 0.21/0.44 thf(f110,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2))))))))))) @ (sK2 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f109])).
% 0.21/0.44 thf(f109,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2))))))))))))) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(not_proxy_clausification,[],[f108])).
% 0.21/0.44 thf(f108,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))))))))))))) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f107])).
% 0.21/0.44 thf(f107,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((irel @ sK1 @ X1) => (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))))))))))))) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f106])).
% 0.21/0.44 thf(f106,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3))))))))))))))) @ X1))) )),
% 0.21/0.44 inference(pi_clausification,[],[f105])).
% 0.21/0.44 thf(f105,plain,(
% 0.21/0.44 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))))))))))))))) = $true)),
% 0.21/0.44 inference(not_proxy_clausification,[],[f104])).
% 0.21/0.44 thf(f104,plain,(
% 0.21/0.44 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3))))))))))))))))))),
% 0.21/0.44 inference(beta_eta_normalization,[],[f103])).
% 0.21/0.44 thf(f103,plain,(
% 0.21/0.44 ($false = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (a @ Y4)))))))))))))))))) @ sK1))),
% 0.21/0.44 inference(sigma_clausification,[],[f102])).
% 0.21/0.44 thf(f102,plain,(
% 0.21/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (a @ Y4))))))))))))))))))))),
% 0.21/0.44 inference(beta_eta_normalization,[],[f101])).
% 0.21/0.44 thf(f101,plain,(
% 0.21/0.44 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: (Y0)) @ a)))))))),
% 0.21/0.44 inference(definition_unfolding,[],[f74,f82,f93,f93,f96,f76,f93,f76])).
% 0.21/0.44 thf(f76,plain,(
% 0.21/0.44 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.21/0.44 inference(cnf_transformation,[],[f36])).
% 0.21/0.44 thf(f36,plain,(
% 0.21/0.44 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.21/0.44 inference(fool_elimination,[],[f35])).
% 0.21/0.44 thf(f35,plain,(
% 0.21/0.44 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 0.21/0.44 inference(rectify,[],[f8])).
% 0.21/0.44 thf(f8,axiom,(
% 0.21/0.44 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 0.21/0.44 thf(f96,plain,(
% 0.21/0.44 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))))),
% 0.21/0.44 inference(definition_unfolding,[],[f70,f88,f78,f78])).
% 0.21/0.44 thf(f78,plain,(
% 0.21/0.44 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f46])).
% 0.21/0.44 thf(f46,plain,(
% 0.21/0.44 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.44 inference(fool_elimination,[],[f45])).
% 0.21/0.44 thf(f45,plain,(
% 0.21/0.44 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 0.21/0.44 inference(rectify,[],[f7])).
% 0.21/0.44 thf(f7,axiom,(
% 0.21/0.44 (mbox_s4 = (^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 0.21/0.44 thf(f88,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,[],[f62])).
% 0.21/0.44 thf(f62,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,[],[f61])).
% 0.21/0.44 thf(f61,plain,(
% 0.21/0.44 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.21/0.44 inference(rectify,[],[f4])).
% 0.21/0.44 thf(f4,axiom,(
% 0.21/0.44 (mor = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) | (X0 @ X3))))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.21/0.44 thf(f70,plain,(
% 0.21/0.44 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f28])).
% 0.21/0.44 thf(f28,plain,(
% 0.21/0.44 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.21/0.44 inference(fool_elimination,[],[f27])).
% 0.21/0.44 thf(f27,plain,(
% 0.21/0.44 (ior = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))))),
% 0.21/0.44 inference(rectify,[],[f13])).
% 0.21/0.44 thf(f13,axiom,(
% 0.21/0.44 (ior = (^[X5 : $i > $o, X7 : $i > $o] : (mor @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ior)).
% 0.21/0.44 thf(f93,plain,(
% 0.21/0.44 (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))))),
% 0.21/0.44 inference(definition_unfolding,[],[f73,f91,f78])).
% 0.21/0.44 thf(f91,plain,(
% 0.21/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f34])).
% 0.21/0.44 thf(f34,plain,(
% 0.21/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.44 inference(fool_elimination,[],[f33])).
% 0.21/0.44 thf(f33,plain,(
% 0.21/0.44 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.44 inference(rectify,[],[f3])).
% 0.21/0.44 thf(f3,axiom,(
% 0.21/0.44 ((^[X0 : $i > $o, X3 : $i] : (~(X0 @ X3))) = mnot)),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.21/0.44 thf(f73,plain,(
% 0.21/0.44 (inot = (^[Y0 : $i > $o]: (mnot @ (mbox_s4 @ Y0))))),
% 0.21/0.44 inference(cnf_transformation,[],[f32])).
% 0.21/0.44 thf(f32,plain,(
% 0.21/0.44 (inot = (^[Y0 : $i > $o]: (mnot @ (mbox_s4 @ Y0))))),
% 0.21/0.44 inference(fool_elimination,[],[f31])).
% 0.21/0.44 thf(f31,plain,(
% 0.21/0.44 (inot = (^[X0 : $i > $o] : (mnot @ (mbox_s4 @ X0))))),
% 0.21/0.44 inference(rectify,[],[f9])).
% 0.21/0.44 thf(f9,axiom,(
% 0.21/0.44 (inot = (^[X5 : $i > $o] : (mnot @ (mbox_s4 @ X5))))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inot)).
% 0.21/0.44 thf(f82,plain,(
% 0.21/0.44 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.44 inference(cnf_transformation,[],[f38])).
% 0.21/0.44 thf(f38,plain,(
% 0.21/0.44 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.44 inference(fool_elimination,[],[f37])).
% 0.21/0.44 thf(f37,plain,(
% 0.21/0.44 (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.44 inference(rectify,[],[f18])).
% 0.21/0.44 thf(f18,axiom,(
% 0.21/0.44 (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 0.21/0.44 thf(f74,plain,(
% 0.21/0.44 ((ivalid @ (inot @ (inot @ (ior @ (iatom @ a) @ (inot @ (iatom @ a)))))) != $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f67])).
% 0.21/0.44 thf(f67,plain,(
% 0.21/0.44 ((ivalid @ (inot @ (inot @ (ior @ (iatom @ a) @ (inot @ (iatom @ a)))))) != $true)),
% 0.21/0.44 inference(flattening,[],[f66])).
% 0.21/0.44 thf(f66,plain,(
% 0.21/0.44 ~((ivalid @ (inot @ (inot @ (ior @ (iatom @ a) @ (inot @ (iatom @ a)))))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f65])).
% 0.21/0.44 thf(f65,plain,(
% 0.21/0.44 ~(ivalid @ (inot @ (inot @ (ior @ (iatom @ a) @ (inot @ (iatom @ a))))))),
% 0.21/0.44 inference(rectify,[],[f23])).
% 0.21/0.44 thf(f23,negated_conjecture,(
% 0.21/0.44 ~(ivalid @ (inot @ (inot @ (ior @ (iatom @ a) @ (inot @ (iatom @ a))))))),
% 0.21/0.44 inference(negated_conjecture,[],[f22])).
% 0.21/0.44 thf(f22,conjecture,(
% 0.21/0.44 (ivalid @ (inot @ (inot @ (ior @ (iatom @ a) @ (inot @ (iatom @ a))))))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.21/0.44 thf(f195,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != (irel @ (sK2 @ sK1) @ X0)) | ((a @ (sK3 @ X0)) = $false)) ) | spl0_2),
% 0.21/0.44 inference(subsumption_resolution,[],[f194,f142])).
% 0.21/0.44 thf(f194,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((a @ (sK3 @ X0)) = $false) | ((irel @ sK1 @ sK1) = $false) | ($true != (irel @ (sK2 @ sK1) @ X0))) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f190])).
% 0.21/0.44 thf(f190,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((irel @ sK1 @ sK1) = $false) | ((a @ (sK3 @ X0)) = $false) | ($true != $true) | ($true != (irel @ (sK2 @ sK1) @ X0))) )),
% 0.21/0.44 inference(superposition,[],[f159,f113])).
% 0.21/0.44 thf(f113,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (($true = (irel @ X1 @ (sK2 @ X1))) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f111])).
% 0.21/0.44 thf(f159,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((irel @ sK1 @ X1) != $true) | ((a @ (sK3 @ X0)) = $false) | ((irel @ X1 @ X0) != $true)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f156])).
% 0.21/0.44 thf(f156,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((irel @ X1 @ X0) != $true) | ((irel @ sK1 @ X1) != $true) | ($true = $false) | ((a @ (sK3 @ X0)) = $false)) )),
% 0.21/0.44 inference(superposition,[],[f118,f79])).
% 0.21/0.44 thf(f79,plain,(
% 0.21/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((irel @ X1 @ X2) = $true) | ((irel @ X1 @ X0) != $true) | ((irel @ X0 @ X2) != $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f69])).
% 0.21/0.44 thf(f69,plain,(
% 0.21/0.44 ! [X0,X1,X2] : (((irel @ X1 @ X2) = $true) | ((irel @ X1 @ X0) != $true) | ((irel @ X0 @ X2) != $true))),
% 0.21/0.44 inference(flattening,[],[f68])).
% 0.21/0.44 thf(f68,plain,(
% 0.21/0.44 ! [X0,X1,X2] : (((irel @ X1 @ X2) = $true) | (((irel @ X0 @ X2) != $true) | ((irel @ X1 @ X0) != $true)))),
% 0.21/0.44 inference(ennf_transformation,[],[f56])).
% 0.21/0.44 thf(f56,plain,(
% 0.21/0.44 ! [X0,X1,X2] : ((((irel @ X0 @ X2) = $true) & ((irel @ X1 @ X0) = $true)) => ((irel @ X1 @ X2) = $true))),
% 0.21/0.44 inference(fool_elimination,[],[f55])).
% 0.21/0.44 thf(f55,plain,(
% 0.21/0.44 ! [X0,X1,X2] : (((irel @ X0 @ X2) & (irel @ X1 @ X0)) => (irel @ X1 @ X2))),
% 0.21/0.44 inference(rectify,[],[f2])).
% 0.21/0.44 thf(f2,axiom,(
% 0.21/0.44 ! [X1,X0,X2] : (((irel @ X1 @ X2) & (irel @ X0 @ X1)) => (irel @ X0 @ X2))),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
% 0.21/0.44 thf(f118,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a @ (sK3 @ X1)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f117])).
% 0.21/0.44 thf(f117,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((irel @ sK1 @ X1) = $false) | (((irel @ (sK2 @ X1) @ (sK3 @ X1)) => (a @ (sK3 @ X1))) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f116])).
% 0.21/0.44 thf(f116,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (a @ Y0))) @ (sK3 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f115])).
% 0.21/0.44 thf(f115,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK2 @ X1) @ Y0) => (a @ Y0)))) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f112])).
% 0.21/0.44 thf(f731,plain,(
% 0.21/0.44 ($true = (a @ (sK3 @ (sK4 @ sK1)))) | (spl0_2 | spl0_8)),
% 0.21/0.44 inference(subsumption_resolution,[],[f729,f142])).
% 0.21/0.44 thf(f729,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) = $false) | ($true = (a @ (sK3 @ (sK4 @ sK1)))) | spl0_8),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f719])).
% 0.21/0.44 thf(f719,plain,(
% 0.21/0.44 ($false != $false) | ($true = (a @ (sK3 @ (sK4 @ sK1)))) | ((irel @ sK1 @ sK1) = $false) | spl0_8),
% 0.21/0.44 inference(superposition,[],[f342,f498])).
% 0.21/0.44 thf(f498,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((irel @ sK1 @ (sK4 @ X0)) = $false) | ((a @ (sK3 @ (sK4 @ X0))) = $true) | ($false = (irel @ sK1 @ X0))) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f497])).
% 0.21/0.44 thf(f497,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != $true) | ((a @ (sK3 @ (sK4 @ X0))) = $true) | ($false = (irel @ sK1 @ X0)) | ((irel @ sK1 @ (sK4 @ X0)) = $false)) )),
% 0.21/0.44 inference(duplicate_literal_removal,[],[f488])).
% 0.21/0.44 thf(f488,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((irel @ sK1 @ (sK4 @ X0)) = $false) | ($true != $true) | ((a @ (sK3 @ (sK4 @ X0))) = $true) | ((irel @ sK1 @ (sK4 @ X0)) = $false) | ($false = (irel @ sK1 @ X0))) )),
% 0.21/0.44 inference(superposition,[],[f290,f119])).
% 0.21/0.44 thf(f119,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((irel @ (sK2 @ X1) @ (sK3 @ X1)) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f117])).
% 0.21/0.44 thf(f290,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((irel @ (sK2 @ (sK4 @ X0)) @ X1) != $true) | ($false = (irel @ sK1 @ X0)) | ((irel @ sK1 @ (sK4 @ X0)) = $false) | ($true = (a @ X1))) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f286])).
% 0.21/0.44 thf(f286,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((irel @ sK1 @ (sK4 @ X0)) = $false) | ($true != $true) | ($false = (irel @ sK1 @ X0)) | ((irel @ (sK2 @ (sK4 @ X0)) @ X1) != $true) | ($true = (a @ X1))) )),
% 0.21/0.44 inference(superposition,[],[f168,f113])).
% 0.21/0.44 thf(f168,plain,(
% 0.21/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (irel @ (sK4 @ X0) @ X2)) | ($true = (a @ X1)) | ($true != (irel @ X2 @ X1)) | ($false = (irel @ sK1 @ X0))) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f164])).
% 0.21/0.44 thf(f164,plain,(
% 0.21/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (a @ X1)) | ($true = $false) | ($false = (irel @ sK1 @ X0)) | ($true != (irel @ X2 @ X1)) | ($true != (irel @ (sK4 @ X0) @ X2))) )),
% 0.21/0.44 inference(superposition,[],[f79,f127])).
% 0.21/0.44 thf(f127,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i] : (((irel @ (sK4 @ X1) @ X2) = $false) | ((a @ X2) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f126])).
% 0.21/0.44 thf(f126,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | (((irel @ (sK4 @ X1) @ X2) => (a @ X2)) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f125])).
% 0.21/0.44 thf(f125,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0))) @ X2) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f124])).
% 0.21/0.44 thf(f124,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0)))))) )),
% 0.21/0.44 inference(not_proxy_clausification,[],[f122])).
% 0.21/0.44 thf(f122,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0))))) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f121])).
% 0.21/0.44 thf(f342,plain,(
% 0.21/0.44 ((irel @ sK1 @ (sK4 @ sK1)) != $false) | spl0_8),
% 0.21/0.44 inference(avatar_component_clause,[],[f341])).
% 0.21/0.44 thf(f341,plain,(
% 0.21/0.44 spl0_8 <=> ((irel @ sK1 @ (sK4 @ sK1)) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.21/0.44 thf(f467,plain,(
% 0.21/0.44 spl0_2 | ~spl0_8),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f466])).
% 0.21/0.44 thf(f466,plain,(
% 0.21/0.44 $false | (spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(subsumption_resolution,[],[f464,f142])).
% 0.21/0.44 thf(f464,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) = $false) | (spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f460])).
% 0.21/0.44 thf(f460,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) = $false) | ($true != $true) | (spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(superposition,[],[f453,f113])).
% 0.21/0.44 thf(f453,plain,(
% 0.21/0.44 ($true != (irel @ sK1 @ (sK2 @ sK1))) | (spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(subsumption_resolution,[],[f451,f142])).
% 0.21/0.44 thf(f451,plain,(
% 0.21/0.44 ($true != (irel @ sK1 @ (sK2 @ sK1))) | ((irel @ sK1 @ sK1) = $false) | ~spl0_8),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f443])).
% 0.21/0.44 thf(f443,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) = $false) | ($true != (irel @ sK1 @ (sK2 @ sK1))) | ($true != $true) | ~spl0_8),
% 0.21/0.44 inference(superposition,[],[f408,f123])).
% 0.21/0.44 thf(f408,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != (irel @ X0 @ (sK4 @ sK1))) | ($true != (irel @ sK1 @ X0))) ) | ~spl0_8),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f400])).
% 0.21/0.44 thf(f400,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (($true != (irel @ sK1 @ X0)) | ($true = $false) | ($true != (irel @ X0 @ (sK4 @ sK1)))) ) | ~spl0_8),
% 0.21/0.44 inference(superposition,[],[f343,f79])).
% 0.21/0.44 thf(f343,plain,(
% 0.21/0.44 ((irel @ sK1 @ (sK4 @ sK1)) = $false) | ~spl0_8),
% 0.21/0.44 inference(avatar_component_clause,[],[f341])).
% 0.21/0.44 thf(f151,plain,(
% 0.21/0.44 ~spl0_2),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f150])).
% 0.21/0.44 thf(f150,plain,(
% 0.21/0.44 $false | ~spl0_2),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f146])).
% 0.21/0.44 thf(f146,plain,(
% 0.21/0.44 ($true = $false) | ~spl0_2),
% 0.21/0.44 inference(superposition,[],[f143,f80])).
% 0.21/0.44 thf(f80,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((irel @ X0 @ X0) = $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f52])).
% 0.21/0.44 thf(f52,plain,(
% 0.21/0.44 ! [X0] : ((irel @ X0 @ X0) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f51])).
% 0.21/0.44 thf(f51,plain,(
% 0.21/0.44 ! [X0] : (irel @ X0 @ X0)),
% 0.21/0.44 inference(rectify,[],[f1])).
% 0.21/0.44 thf(f1,axiom,(
% 0.21/0.44 ! [X0] : (irel @ X0 @ X0)),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 0.21/0.44 thf(f143,plain,(
% 0.21/0.44 ((irel @ sK1 @ sK1) = $false) | ~spl0_2),
% 0.21/0.44 inference(avatar_component_clause,[],[f141])).
% 0.21/0.44 % SZS output end Proof for theBenchmark
% 0.21/0.44 % (23764)------------------------------
% 0.21/0.44 % (23764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (23764)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (23764)Memory used [KB]: 6012
% 0.21/0.44 % (23764)Time elapsed: 0.058 s
% 0.21/0.44 % (23764)Instructions burned: 79 (million)
% 0.21/0.44 % (23764)------------------------------
% 0.21/0.44 % (23764)------------------------------
% 0.21/0.44 % (23763)Success in time 0.054 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------