TSTP Solution File: SYO066^4.002 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO066^4.002 : 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 : n002.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 09:02:39 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO066^4.002 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % 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 : n002.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 09:12:52 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
% 0.20/0.36 % (21890)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.36 % (21893)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.36 % (21889)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)
% 0.20/0.36 % (21890)Instruction limit reached!
% 0.20/0.36 % (21890)------------------------------
% 0.20/0.36 % (21890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.36 % (21890)Termination reason: Unknown
% 0.20/0.36 % (21890)Termination phase: shuffling
% 0.20/0.36
% 0.20/0.36 % (21890)Memory used [KB]: 1023
% 0.20/0.36 % (21890)Time elapsed: 0.002 s
% 0.20/0.36 % (21890)Instructions burned: 2 (million)
% 0.20/0.36 % (21890)------------------------------
% 0.20/0.36 % (21890)------------------------------
% 0.20/0.37 % (21893)Instruction limit reached!
% 0.20/0.37 % (21893)------------------------------
% 0.20/0.37 % (21893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21893)Termination reason: Unknown
% 0.20/0.37 % (21893)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (21893)Memory used [KB]: 5628
% 0.20/0.37 % (21893)Time elapsed: 0.006 s
% 0.20/0.37 % (21893)Instructions burned: 18 (million)
% 0.20/0.37 % (21893)------------------------------
% 0.20/0.37 % (21893)------------------------------
% 0.20/0.37 % (21887)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (21888)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)
% 0.20/0.37 % (21891)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)
% 0.20/0.37 % (21892)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)
% 0.20/0.37 % (21894)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)
% 0.20/0.37 % (21891)Instruction limit reached!
% 0.20/0.37 % (21891)------------------------------
% 0.20/0.37 % (21891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21891)Termination reason: Unknown
% 0.20/0.37 % (21891)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (21891)Memory used [KB]: 1023
% 0.20/0.37 % (21891)Time elapsed: 0.003 s
% 0.20/0.37 % (21891)Instructions burned: 2 (million)
% 0.20/0.37 % (21891)------------------------------
% 0.20/0.37 % (21891)------------------------------
% 0.20/0.37 % (21894)Instruction limit reached!
% 0.20/0.37 % (21894)------------------------------
% 0.20/0.37 % (21894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21894)Termination reason: Unknown
% 0.20/0.37 % (21894)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (21894)Memory used [KB]: 1023
% 0.20/0.37 % (21894)Time elapsed: 0.004 s
% 0.20/0.37 % (21894)Instructions burned: 3 (million)
% 0.20/0.37 % (21894)------------------------------
% 0.20/0.37 % (21894)------------------------------
% 0.20/0.37 % (21888)Instruction limit reached!
% 0.20/0.37 % (21888)------------------------------
% 0.20/0.37 % (21888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21888)Termination reason: Unknown
% 0.20/0.37 % (21888)Termination phase: Function definition elimination
% 0.20/0.37
% 0.20/0.37 % (21888)Memory used [KB]: 1023
% 0.20/0.37 % (21888)Time elapsed: 0.004 s
% 0.20/0.37 % (21888)Instructions burned: 5 (million)
% 0.20/0.37 % (21888)------------------------------
% 0.20/0.37 % (21888)------------------------------
% 0.20/0.37 % (21895)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)
% 0.20/0.37 % (21889)Instruction limit reached!
% 0.20/0.37 % (21889)------------------------------
% 0.20/0.37 % (21889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21889)Termination reason: Unknown
% 0.20/0.37 % (21889)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (21889)Memory used [KB]: 5756
% 0.20/0.37 % (21889)Time elapsed: 0.011 s
% 0.20/0.37 % (21889)Instructions burned: 27 (million)
% 0.20/0.37 % (21889)------------------------------
% 0.20/0.37 % (21889)------------------------------
% 0.20/0.37 % (21892)Refutation not found, incomplete strategy
% 0.20/0.37 % (21892)------------------------------
% 0.20/0.37 % (21892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21892)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37 % (21892)Memory used [KB]: 5500
% 0.20/0.37 % (21892)Time elapsed: 0.006 s
% 0.20/0.37 % (21892)Instructions burned: 5 (million)
% 0.20/0.37 % (21892)------------------------------
% 0.20/0.37 % (21892)------------------------------
% 0.20/0.37 % (21896)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)
% 0.20/0.38 % (21896)Instruction limit reached!
% 0.20/0.38 % (21896)------------------------------
% 0.20/0.38 % (21896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21896)Termination reason: Unknown
% 0.20/0.38 % (21896)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21896)Memory used [KB]: 5628
% 0.20/0.38 % (21896)Time elapsed: 0.006 s
% 0.20/0.38 % (21896)Instructions burned: 17 (million)
% 0.20/0.38 % (21896)------------------------------
% 0.20/0.38 % (21896)------------------------------
% 0.20/0.38 % (21900)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.38 % (21895)Instruction limit reached!
% 0.20/0.38 % (21895)------------------------------
% 0.20/0.38 % (21895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21895)Termination reason: Unknown
% 0.20/0.38 % (21895)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21895)Memory used [KB]: 5756
% 0.20/0.38 % (21895)Time elapsed: 0.013 s
% 0.20/0.38 % (21895)Instructions burned: 37 (million)
% 0.20/0.38 % (21895)------------------------------
% 0.20/0.38 % (21895)------------------------------
% 0.20/0.38 % (21897)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)
% 0.20/0.38 % (21898)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)
% 0.20/0.38 % (21900)Instruction limit reached!
% 0.20/0.38 % (21900)------------------------------
% 0.20/0.38 % (21900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21900)Termination reason: Unknown
% 0.20/0.38 % (21900)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21900)Memory used [KB]: 5628
% 0.20/0.38 % (21900)Time elapsed: 0.006 s
% 0.20/0.38 % (21900)Instructions burned: 16 (million)
% 0.20/0.38 % (21900)------------------------------
% 0.20/0.38 % (21900)------------------------------
% 0.20/0.38 % (21899)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.38 % (21897)Instruction limit reached!
% 0.20/0.38 % (21897)------------------------------
% 0.20/0.38 % (21897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21897)Termination reason: Unknown
% 0.20/0.38 % (21897)Termination phase: Preprocessing 3
% 0.20/0.38
% 0.20/0.38 % (21897)Memory used [KB]: 1023
% 0.20/0.38 % (21897)Time elapsed: 0.004 s
% 0.20/0.38 % (21897)Instructions burned: 4 (million)
% 0.20/0.38 % (21897)------------------------------
% 0.20/0.38 % (21897)------------------------------
% 0.20/0.39 % (21901)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)
% 0.20/0.39 % (21902)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)
% 0.20/0.39 % (21902)Instruction limit reached!
% 0.20/0.39 % (21902)------------------------------
% 0.20/0.39 % (21902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21902)Termination reason: Unknown
% 0.20/0.39 % (21902)Termination phase: Function definition elimination
% 0.20/0.39
% 0.20/0.39 % (21902)Memory used [KB]: 1023
% 0.20/0.39 % (21902)Time elapsed: 0.003 s
% 0.20/0.39 % (21902)Instructions burned: 5 (million)
% 0.20/0.39 % (21902)------------------------------
% 0.20/0.39 % (21902)------------------------------
% 0.20/0.39 % (21901)Instruction limit reached!
% 0.20/0.39 % (21901)------------------------------
% 0.20/0.39 % (21901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21901)Termination reason: Unknown
% 0.20/0.39 % (21901)Termination phase: Property scanning
% 0.20/0.39
% 0.20/0.39 % (21901)Memory used [KB]: 1023
% 0.20/0.39 % (21901)Time elapsed: 0.004 s
% 0.20/0.39 % (21901)Instructions burned: 4 (million)
% 0.20/0.39 % (21899)Instruction limit reached!
% 0.20/0.39 % (21899)------------------------------
% 0.20/0.39 % (21899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21901)------------------------------
% 0.20/0.39 % (21901)------------------------------
% 0.20/0.39 % (21899)Termination reason: Unknown
% 0.20/0.39 % (21899)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (21899)Memory used [KB]: 1023
% 0.20/0.39 % (21899)Time elapsed: 0.006 s
% 0.20/0.39 % (21899)Instructions burned: 8 (million)
% 0.20/0.39 % (21899)------------------------------
% 0.20/0.39 % (21899)------------------------------
% 0.20/0.39 % (21903)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)
% 0.20/0.39 % (21903)Instruction limit reached!
% 0.20/0.39 % (21903)------------------------------
% 0.20/0.39 % (21903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21903)Termination reason: Unknown
% 0.20/0.39 % (21903)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (21903)Memory used [KB]: 5500
% 0.20/0.39 % (21903)Time elapsed: 0.004 s
% 0.20/0.39 % (21903)Instructions burned: 10 (million)
% 0.20/0.39 % (21903)------------------------------
% 0.20/0.39 % (21903)------------------------------
% 0.20/0.39 % (21904)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)
% 0.20/0.39 % (21904)Instruction limit reached!
% 0.20/0.39 % (21904)------------------------------
% 0.20/0.39 % (21904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21904)Termination reason: Unknown
% 0.20/0.39 % (21904)Termination phase: Preprocessing 1
% 0.20/0.39
% 0.20/0.39 % (21904)Memory used [KB]: 1023
% 0.20/0.39 % (21904)Time elapsed: 0.002 s
% 0.20/0.39 % (21904)Instructions burned: 3 (million)
% 0.20/0.39 % (21904)------------------------------
% 0.20/0.39 % (21904)------------------------------
% 0.20/0.40 % (21906)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)
% 0.20/0.40 % (21905)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.40 % (21909)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.40 % (21905)Instruction limit reached!
% 0.20/0.40 % (21905)------------------------------
% 0.20/0.40 % (21905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21905)Termination reason: Unknown
% 0.20/0.40 % (21905)Termination phase: Preprocessing 3
% 0.20/0.40
% 0.20/0.40 % (21905)Memory used [KB]: 1023
% 0.20/0.40 % (21905)Time elapsed: 0.004 s
% 0.20/0.40 % (21905)Instructions burned: 4 (million)
% 0.20/0.40 % (21905)------------------------------
% 0.20/0.40 % (21905)------------------------------
% 0.20/0.40 % (21909)Refutation not found, incomplete strategy
% 0.20/0.40 % (21909)------------------------------
% 0.20/0.40 % (21909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21909)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 % (21909)Memory used [KB]: 5500
% 0.20/0.40 % (21909)Time elapsed: 0.003 s
% 0.20/0.40 % (21909)Instructions burned: 5 (million)
% 0.20/0.40 % (21909)------------------------------
% 0.20/0.40 % (21909)------------------------------
% 0.20/0.40 % (21910)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.40 % (21906)Instruction limit reached!
% 0.20/0.40 % (21906)------------------------------
% 0.20/0.40 % (21906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21906)Termination reason: Unknown
% 0.20/0.40 % (21906)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (21906)Memory used [KB]: 5628
% 0.20/0.40 % (21906)Time elapsed: 0.008 s
% 0.20/0.40 % (21906)Instructions burned: 19 (million)
% 0.20/0.40 % (21906)------------------------------
% 0.20/0.40 % (21906)------------------------------
% 0.20/0.40 % (21907)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.40 % (21908)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.41 % (21908)Instruction limit reached!
% 0.20/0.41 % (21908)------------------------------
% 0.20/0.41 % (21908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (21908)Termination reason: Unknown
% 0.20/0.41 % (21908)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (21908)Memory used [KB]: 1023
% 0.20/0.41 % (21908)Time elapsed: 0.005 s
% 0.20/0.41 % (21908)Instructions burned: 6 (million)
% 0.20/0.41 % (21908)------------------------------
% 0.20/0.41 % (21908)------------------------------
% 0.20/0.41 % (21910)Instruction limit reached!
% 0.20/0.41 % (21910)------------------------------
% 0.20/0.41 % (21910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (21910)Termination reason: Unknown
% 0.20/0.41 % (21910)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (21910)Memory used [KB]: 5628
% 0.20/0.41 % (21910)Time elapsed: 0.009 s
% 0.20/0.41 % (21910)Instructions burned: 23 (million)
% 0.20/0.41 % (21910)------------------------------
% 0.20/0.41 % (21910)------------------------------
% 0.20/0.41 % (21913)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.41 % (21912)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.41 % (21912)Refutation not found, incomplete strategy
% 0.20/0.41 % (21912)------------------------------
% 0.20/0.41 % (21912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (21912)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (21912)Memory used [KB]: 5500
% 0.20/0.41 % (21912)Time elapsed: 0.003 s
% 0.20/0.41 % (21912)Instructions burned: 5 (million)
% 0.20/0.41 % (21912)------------------------------
% 0.20/0.41 % (21912)------------------------------
% 0.20/0.42 % (21911)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.42 % (21911)Instruction limit reached!
% 0.20/0.42 % (21911)------------------------------
% 0.20/0.42 % (21911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (21911)Termination reason: Unknown
% 0.20/0.42 % (21911)Termination phase: Property scanning
% 0.20/0.42 % (21915)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.42
% 0.20/0.42 % (21911)Memory used [KB]: 1023
% 0.20/0.42 % (21911)Time elapsed: 0.005 s
% 0.20/0.42 % (21911)Instructions burned: 7 (million)
% 0.20/0.42 % (21911)------------------------------
% 0.20/0.42 % (21911)------------------------------
% 0.20/0.42 % (21916)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.42 % (21915)Refutation not found, incomplete strategy
% 0.20/0.42 % (21915)------------------------------
% 0.20/0.42 % (21915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (21915)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (21915)Memory used [KB]: 5500
% 0.20/0.42 % (21915)Time elapsed: 0.003 s
% 0.20/0.42 % (21915)Instructions burned: 5 (million)
% 0.20/0.42 % (21915)------------------------------
% 0.20/0.42 % (21915)------------------------------
% 0.20/0.42 % (21914)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.43 % (21920)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (21920)Instruction limit reached!
% 0.20/0.43 % (21920)------------------------------
% 0.20/0.43 % (21920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (21920)Termination reason: Unknown
% 0.20/0.43 % (21920)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (21920)Memory used [KB]: 1023
% 0.20/0.43 % (21920)Time elapsed: 0.002 s
% 0.20/0.43 % (21920)Instructions burned: 3 (million)
% 0.20/0.43 % (21920)------------------------------
% 0.20/0.43 % (21920)------------------------------
% 0.20/0.43 % (21917)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.44 % (21921)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.44 % (21917)Instruction limit reached!
% 0.20/0.44 % (21917)------------------------------
% 0.20/0.44 % (21917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (21917)Termination reason: Unknown
% 0.20/0.44 % (21917)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (21917)Memory used [KB]: 5628
% 0.20/0.44 % (21917)Time elapsed: 0.010 s
% 0.20/0.44 % (21917)Instructions burned: 17 (million)
% 0.20/0.44 % (21917)------------------------------
% 0.20/0.44 % (21917)------------------------------
% 0.20/0.45 % (21921)Instruction limit reached!
% 0.20/0.45 % (21921)------------------------------
% 0.20/0.45 % (21921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (21921)Termination reason: Unknown
% 0.20/0.45 % (21921)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (21921)Memory used [KB]: 5756
% 0.20/0.45 % (21921)Time elapsed: 0.011 s
% 0.20/0.45 % (21921)Instructions burned: 32 (million)
% 0.20/0.45 % (21921)------------------------------
% 0.20/0.45 % (21921)------------------------------
% 0.20/0.46 % (21922)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.20/0.47 % (21923)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (21887)Instruction limit reached!
% 0.20/0.49 % (21887)------------------------------
% 0.20/0.49 % (21887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (21887)Termination reason: Unknown
% 0.20/0.49 % (21887)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (21887)Memory used [KB]: 6652
% 0.20/0.49 % (21887)Time elapsed: 0.127 s
% 0.20/0.49 % (21887)Instructions burned: 183 (million)
% 0.20/0.49 % (21887)------------------------------
% 0.20/0.49 % (21887)------------------------------
% 0.20/0.51 % (21931)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.51 % (21931)Instruction limit reached!
% 0.20/0.51 % (21931)------------------------------
% 0.20/0.51 % (21931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (21931)Termination reason: Unknown
% 0.20/0.51 % (21931)Termination phase: Function definition elimination
% 0.20/0.51
% 0.20/0.51 % (21931)Memory used [KB]: 1023
% 0.20/0.51 % (21931)Time elapsed: 0.003 s
% 0.20/0.51 % (21931)Instructions burned: 4 (million)
% 0.20/0.51 % (21931)------------------------------
% 0.20/0.51 % (21931)------------------------------
% 0.20/0.52 % (21932)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.20/0.53 % (21932)Refutation not found, incomplete strategy
% 0.20/0.53 % (21932)------------------------------
% 0.20/0.53 % (21932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (21932)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (21932)Memory used [KB]: 5500
% 0.20/0.53 % (21932)Time elapsed: 0.004 s
% 0.20/0.53 % (21932)Instructions burned: 6 (million)
% 0.20/0.53 % (21932)------------------------------
% 0.20/0.53 % (21932)------------------------------
% 0.20/0.53 % (21916)First to succeed.
% 0.20/0.53 % (21923)Instruction limit reached!
% 0.20/0.53 % (21923)------------------------------
% 0.20/0.53 % (21923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (21923)Termination reason: Unknown
% 0.20/0.53 % (21923)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (21923)Memory used [KB]: 6012
% 0.20/0.53 % (21923)Time elapsed: 0.061 s
% 0.20/0.53 % (21923)Instructions burned: 100 (million)
% 0.20/0.53 % (21923)------------------------------
% 0.20/0.53 % (21923)------------------------------
% 0.20/0.53 % (21916)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% 0.20/0.53 thf(func_def_0, type, irel: $i > $i > $o).
% 0.20/0.53 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_9, type, itrue: $i > $o).
% 0.20/0.53 thf(func_def_10, type, ifalse: $i > $o).
% 0.20/0.53 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.53 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.20/0.53 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.20/0.53 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.20/0.53 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.20/0.53 thf(func_def_21, type, o11: $i > $o).
% 0.20/0.53 thf(func_def_22, type, o12: $i > $o).
% 0.20/0.53 thf(func_def_23, type, o21: $i > $o).
% 0.20/0.53 thf(func_def_24, type, o22: $i > $o).
% 0.20/0.53 thf(func_def_25, type, o31: $i > $o).
% 0.20/0.53 thf(func_def_26, type, o32: $i > $o).
% 0.20/0.53 thf(f2902,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(avatar_sat_refutation,[],[f214,f223,f232,f241,f250,f259,f304,f410,f626,f985,f1438,f1453,f1493,f1574,f1703,f2025,f2351,f2536,f2539,f2781,f2802,f2805,f2811,f2824,f2886,f2897])).
% 0.20/0.53 thf(f2897,plain,(
% 0.20/0.53 ~spl0_4 | ~spl0_71),
% 0.20/0.53 inference(avatar_contradiction_clause,[],[f2896])).
% 0.20/0.53 thf(f2896,plain,(
% 0.20/0.53 $false | (~spl0_4 | ~spl0_71)),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f2895])).
% 0.20/0.53 thf(f2895,plain,(
% 0.20/0.53 ($false = $true) | (~spl0_4 | ~spl0_71)),
% 0.20/0.53 inference(backward_demodulation,[],[f871,f222])).
% 0.20/0.53 thf(f222,plain,(
% 0.20/0.53 ((o32 @ sK10) = $false) | ~spl0_4),
% 0.20/0.53 inference(avatar_component_clause,[],[f220])).
% 0.20/0.53 thf(f220,plain,(
% 0.20/0.53 spl0_4 <=> ((o32 @ sK10) = $false)),
% 0.20/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.20/0.53 thf(f871,plain,(
% 0.20/0.53 ((o32 @ sK10) = $true) | ~spl0_71),
% 0.20/0.53 inference(avatar_component_clause,[],[f869])).
% 0.20/0.53 thf(f869,plain,(
% 0.20/0.53 spl0_71 <=> ((o32 @ sK10) = $true)),
% 0.20/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_71])])).
% 0.20/0.53 thf(f2886,plain,(
% 0.20/0.53 ~spl0_3 | ~spl0_13),
% 0.20/0.53 inference(avatar_contradiction_clause,[],[f2885])).
% 0.20/0.53 thf(f2885,plain,(
% 0.20/0.53 $false | (~spl0_3 | ~spl0_13)),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f2884])).
% 0.20/0.53 thf(f2884,plain,(
% 0.20/0.53 ($false = $true) | (~spl0_3 | ~spl0_13)),
% 0.20/0.53 inference(forward_demodulation,[],[f2857,f218])).
% 0.20/0.53 thf(f218,plain,(
% 0.20/0.53 ((o12 @ sK10) = $false) | ~spl0_3),
% 0.20/0.53 inference(avatar_component_clause,[],[f216])).
% 0.20/0.53 thf(f216,plain,(
% 0.20/0.53 spl0_3 <=> ((o12 @ sK10) = $false)),
% 0.20/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.20/0.53 thf(f2857,plain,(
% 0.20/0.53 ((o12 @ sK10) = $true) | ~spl0_13),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f2853])).
% 0.20/0.53 thf(f2853,plain,(
% 0.20/0.53 ((o12 @ sK10) = $true) | ($false = $true) | ~spl0_13),
% 0.20/0.53 inference(superposition,[],[f2271,f280])).
% 0.20/0.53 thf(f280,plain,(
% 0.20/0.53 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((o12 @ X0) = $true)) ) | ~spl0_13),
% 0.20/0.53 inference(avatar_component_clause,[],[f279])).
% 0.20/0.53 thf(f279,plain,(
% 0.20/0.53 spl0_13 <=> ! [X0] : (((irel @ sK1 @ X0) = $false) | ((o12 @ X0) = $true))),
% 0.20/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.20/0.53 thf(f2271,plain,(
% 0.20/0.53 ((irel @ sK1 @ sK10) = $true)),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f2253])).
% 0.20/0.53 thf(f2253,plain,(
% 0.20/0.53 ($true != $true) | ((irel @ sK1 @ sK10) = $true)),
% 0.20/0.53 inference(superposition,[],[f1073,f1591])).
% 0.20/0.53 thf(f1591,plain,(
% 0.20/0.53 ((irel @ sK3 @ sK10) = $true)),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f1588])).
% 0.20/0.53 thf(f1588,plain,(
% 0.20/0.53 ($true != $true) | ((irel @ sK3 @ sK10) = $true)),
% 0.20/0.53 inference(superposition,[],[f1076,f1271])).
% 0.20/0.53 thf(f1271,plain,(
% 0.20/0.53 ((irel @ sK5 @ sK10) = $true)),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f1248])).
% 0.20/0.53 thf(f1248,plain,(
% 0.20/0.53 ((irel @ sK5 @ sK10) = $true) | ($true != $true)),
% 0.20/0.53 inference(superposition,[],[f1071,f1119])).
% 0.20/0.53 thf(f1119,plain,(
% 0.20/0.53 ($true = (irel @ sK7 @ sK10))),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f1115])).
% 0.20/0.53 thf(f1115,plain,(
% 0.20/0.53 ($true != $true) | ($true = (irel @ sK7 @ sK10))),
% 0.20/0.53 inference(superposition,[],[f1072,f189])).
% 0.20/0.53 thf(f189,plain,(
% 0.20/0.53 ((irel @ sK9 @ sK10) = $true)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f187])).
% 0.20/0.53 thf(f187,plain,(
% 0.20/0.53 ($false = ((irel @ sK9 @ sK10) => ((o32 @ sK10) & (o12 @ sK10))))),
% 0.20/0.53 inference(beta_eta_normalization,[],[f186])).
% 0.20/0.53 thf(f186,plain,(
% 0.20/0.53 (((^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o12 @ Y0)))) @ sK10) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f185])).
% 0.20/0.53 thf(f185,plain,(
% 0.20/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o12 @ Y0))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f182])).
% 0.20/0.53 thf(f182,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o12 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o22 @ Y0)))))) = $false)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f181])).
% 0.20/0.53 thf(f181,plain,(
% 0.20/0.53 ($false = ((irel @ sK7 @ sK9) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o12 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o22 @ Y0))))))))),
% 0.20/0.53 inference(beta_eta_normalization,[],[f180])).
% 0.20/0.53 thf(f180,plain,(
% 0.20/0.53 (((^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o22 @ Y1)))))))) @ sK9) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f173])).
% 0.20/0.53 thf(f173,plain,(
% 0.20/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o22 @ Y1))))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f171])).
% 0.20/0.53 thf(f171,plain,(
% 0.20/0.53 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((o22 @ Y0) & (o12 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o22 @ Y1)))))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f170])).
% 0.20/0.53 thf(f170,plain,(
% 0.20/0.53 ($false = ((irel @ sK5 @ sK7) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((o22 @ Y0) & (o12 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o32 @ Y1) & (o22 @ Y1))))))))))))),
% 0.20/0.53 inference(beta_eta_normalization,[],[f169])).
% 0.20/0.53 thf(f169,plain,(
% 0.20/0.53 ($false = ((^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o22 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o22 @ Y2)))))))))))) @ sK7))),
% 0.20/0.53 inference(sigma_clausification,[],[f162])).
% 0.20/0.53 thf(f162,plain,(
% 0.20/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o22 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o22 @ Y2))))))))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f160])).
% 0.20/0.53 thf(f160,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((o31 @ Y0) & (o21 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o22 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o22 @ Y2)))))))))))))) = $false)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f159])).
% 0.20/0.53 thf(f159,plain,(
% 0.20/0.53 (((irel @ sK3 @ sK5) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((o31 @ Y0) & (o21 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o22 @ Y1) & (o12 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o32 @ Y2) & (o22 @ Y2))))))))))))))) = $false)),
% 0.20/0.53 inference(beta_eta_normalization,[],[f158])).
% 0.20/0.53 thf(f158,plain,(
% 0.20/0.53 (((^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o21 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o22 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o22 @ Y3)))))))))))))))) @ sK5) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f151])).
% 0.20/0.53 thf(f151,plain,(
% 0.20/0.53 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o21 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o22 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o22 @ Y3))))))))))))))))) = $false)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f149])).
% 0.20/0.53 thf(f149,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((o31 @ Y0) & (o11 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o21 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o22 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o22 @ Y3)))))))))))))))))) = $false)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f148])).
% 0.20/0.53 thf(f148,plain,(
% 0.20/0.53 (((irel @ sK1 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((o31 @ Y0) & (o11 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o21 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o22 @ Y2) & (o12 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o32 @ Y3) & (o22 @ Y3))))))))))))))))))) = $false)),
% 0.20/0.53 inference(beta_eta_normalization,[],[f147])).
% 0.20/0.53 thf(f147,plain,(
% 0.20/0.53 (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o31 @ Y2) & (o21 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o22 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o32 @ Y4) & (o12 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o32 @ Y4) & (o22 @ Y4)))))))))))))))))))) @ sK3) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f140])).
% 0.20/0.53 thf(f140,plain,(
% 0.20/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o31 @ Y2) & (o21 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o22 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o32 @ Y4) & (o12 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o32 @ Y4) & (o22 @ Y4))))))))))))))))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f139])).
% 0.20/0.53 thf(f139,plain,(
% 0.20/0.53 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((o21 @ Y0) & (o11 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o31 @ Y1) & (o11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o31 @ Y2) & (o21 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o22 @ Y3) & (o12 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o32 @ Y4) & (o12 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o32 @ Y4) & (o22 @ Y4)))))))))))))))))))))))),
% 0.20/0.53 inference(beta_eta_normalization,[],[f138])).
% 0.20/0.53 thf(f138,plain,(
% 0.20/0.53 ($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o21 @ Y1) & (o11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o31 @ Y2) & (o11 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o31 @ Y3) & (o21 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o22 @ Y4) & (o12 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => ((o32 @ Y5) & (o12 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => ((o32 @ Y5) & (o22 @ Y5))))))))))))))))))))))) @ sK1))),
% 0.20/0.53 inference(sigma_clausification,[],[f137])).
% 0.20/0.53 thf(f137,plain,(
% 0.20/0.53 ($true != (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((o21 @ Y1) & (o11 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((o31 @ Y2) & (o11 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((o31 @ Y3) & (o21 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((o22 @ Y4) & (o12 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => ((o32 @ Y5) & (o12 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => ((o32 @ Y5) & (o22 @ Y5)))))))))))))))))))))))))),
% 0.20/0.53 inference(beta_eta_normalization,[],[f116])).
% 0.20/0.53 thf(f116,plain,(
% 0.20/0.53 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o11) @ ((^[Y0 : $i > $o]: (Y0)) @ o21)) @ ((^[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]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o11) @ ((^[Y0 : $i > $o]: (Y0)) @ o31)) @ ((^[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]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o21) @ ((^[Y0 : $i > $o]: (Y0)) @ o31)) @ ((^[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]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o12) @ ((^[Y0 : $i > $o]: (Y0)) @ o22)) @ ((^[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]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o12) @ ((^[Y0 : $i > $o]: (Y0)) @ o32)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o22) @ ((^[Y0 : $i > $o]: (Y0)) @ o32)))))))) != $true)),
% 0.20/0.53 inference(definition_unfolding,[],[f96,f84,f108,f107,f103,f103,f108,f107,f103,f103,f108,f107,f103,f103,f108,f107,f103,f103,f108,f107,f103,f103,f107,f103,f103])).
% 0.20/0.53 thf(f103,plain,(
% 0.20/0.53 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.20/0.53 inference(cnf_transformation,[],[f61])).
% 0.20/0.53 thf(f61,plain,(
% 0.20/0.53 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.20/0.53 inference(fool_elimination,[],[f60])).
% 0.20/0.53 thf(f60,plain,(
% 0.20/0.53 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 0.20/0.53 inference(rectify,[],[f8])).
% 0.20/0.53 thf(f8,axiom,(
% 0.20/0.53 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 0.20/0.53 thf(f107,plain,(
% 0.20/0.53 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ Y0 @ Y1)))))),
% 0.20/0.53 inference(definition_unfolding,[],[f101,f83])).
% 0.20/0.53 thf(f83,plain,(
% 0.20/0.53 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f69])).
% 0.20/0.53 thf(f69,plain,(
% 0.20/0.53 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f68])).
% 0.20/0.53 thf(f68,plain,(
% 0.20/0.53 (mand = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) & (X1 @ X2))))),
% 0.20/0.53 inference(rectify,[],[f5])).
% 0.20/0.53 thf(f5,axiom,(
% 0.20/0.53 (mand = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X0 @ X3) & (X1 @ X3))))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.20/0.53 thf(f101,plain,(
% 0.20/0.53 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 0.20/0.53 inference(cnf_transformation,[],[f35])).
% 0.20/0.53 thf(f35,plain,(
% 0.20/0.53 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 0.20/0.53 inference(fool_elimination,[],[f34])).
% 0.20/0.53 thf(f34,plain,(
% 0.20/0.53 ((^[X0 : $i > $o, X1 : $i > $o] : (mand @ X0 @ X1)) = iand)),
% 0.20/0.53 inference(rectify,[],[f12])).
% 0.20/0.53 thf(f12,axiom,(
% 0.20/0.53 ((^[X5 : $i > $o, X7 : $i > $o] : (mand @ X5 @ X7)) = iand)),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iand)).
% 0.20/0.53 thf(f108,plain,(
% 0.20/0.53 (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))))))),
% 0.20/0.53 inference(definition_unfolding,[],[f85,f102,f94,f94])).
% 0.20/0.53 thf(f94,plain,(
% 0.20/0.53 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f45])).
% 0.20/0.53 thf(f45,plain,(
% 0.20/0.53 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f44])).
% 0.20/0.53 thf(f44,plain,(
% 0.20/0.53 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 0.20/0.53 inference(rectify,[],[f7])).
% 0.20/0.53 thf(f7,axiom,(
% 0.20/0.53 (mbox_s4 = (^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 0.20/0.53 thf(f102,plain,(
% 0.20/0.53 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f31])).
% 0.20/0.53 thf(f31,plain,(
% 0.20/0.53 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f30])).
% 0.20/0.53 thf(f30,plain,(
% 0.20/0.53 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.20/0.53 inference(rectify,[],[f4])).
% 0.20/0.53 thf(f4,axiom,(
% 0.20/0.53 ((^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) | (X0 @ X3))) = mor)),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.20/0.53 thf(f85,plain,(
% 0.20/0.53 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f65])).
% 0.20/0.53 thf(f65,plain,(
% 0.20/0.53 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.20/0.53 inference(fool_elimination,[],[f64])).
% 0.20/0.53 thf(f64,plain,(
% 0.20/0.53 (ior = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))))),
% 0.20/0.53 inference(rectify,[],[f13])).
% 0.20/0.53 thf(f13,axiom,(
% 0.20/0.53 (ior = (^[X5 : $i > $o, X7 : $i > $o] : (mor @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ior)).
% 0.20/0.53 thf(f84,plain,(
% 0.20/0.53 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.53 inference(cnf_transformation,[],[f59])).
% 0.20/0.53 thf(f59,plain,(
% 0.20/0.53 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.53 inference(fool_elimination,[],[f58])).
% 0.20/0.53 thf(f58,plain,(
% 0.20/0.53 (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.20/0.53 inference(rectify,[],[f18])).
% 0.20/0.53 thf(f18,axiom,(
% 0.20/0.53 (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 0.20/0.53 thf(f96,plain,(
% 0.20/0.53 ((ivalid @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o21)) @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o21) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o22)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o32)) @ (iand @ (iatom @ o22) @ (iatom @ o32)))))))) != $true)),
% 0.20/0.53 inference(cnf_transformation,[],[f76])).
% 0.20/0.53 thf(f76,plain,(
% 0.20/0.53 ((ivalid @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o21)) @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o21) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o22)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o32)) @ (iand @ (iatom @ o22) @ (iatom @ o32)))))))) != $true)),
% 0.20/0.53 inference(flattening,[],[f37])).
% 0.20/0.53 thf(f37,plain,(
% 0.20/0.53 ~((ivalid @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o21)) @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o21) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o22)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o32)) @ (iand @ (iatom @ o22) @ (iatom @ o32)))))))) = $true)),
% 0.20/0.53 inference(fool_elimination,[],[f36])).
% 0.20/0.53 thf(f36,plain,(
% 0.20/0.53 ~(ivalid @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o21)) @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o21) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o22)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o32)) @ (iand @ (iatom @ o22) @ (iatom @ o32))))))))),
% 0.20/0.53 inference(rectify,[],[f26])).
% 0.20/0.53 thf(f26,negated_conjecture,(
% 0.20/0.53 ~(ivalid @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o21)) @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o21) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o22)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o32)) @ (iand @ (iatom @ o22) @ (iatom @ o32))))))))),
% 0.20/0.53 inference(negated_conjecture,[],[f25])).
% 0.20/0.53 thf(f25,conjecture,(
% 0.20/0.53 (ivalid @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o21)) @ (ior @ (iand @ (iatom @ o11) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o21) @ (iatom @ o31)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o22)) @ (ior @ (iand @ (iatom @ o12) @ (iatom @ o32)) @ (iand @ (iatom @ o22) @ (iatom @ o32))))))))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.20/0.53 thf(f1072,plain,(
% 0.20/0.53 ( ! [X0 : $i] : (($true != (irel @ sK9 @ X0)) | ($true = (irel @ sK7 @ X0))) )),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f1066])).
% 0.20/0.53 thf(f1066,plain,(
% 0.20/0.53 ( ! [X0 : $i] : (($true = (irel @ sK7 @ X0)) | ($true != $true) | ($true != (irel @ sK9 @ X0))) )),
% 0.20/0.53 inference(superposition,[],[f89,f183])).
% 0.20/0.53 thf(f183,plain,(
% 0.20/0.53 ((irel @ sK7 @ sK9) = $true)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f181])).
% 0.20/0.53 thf(f89,plain,(
% 0.20/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((irel @ X2 @ X0) != $true) | ((irel @ X0 @ X1) != $true) | ((irel @ X2 @ X1) = $true)) )),
% 0.20/0.53 inference(cnf_transformation,[],[f78])).
% 0.20/0.53 thf(f78,plain,(
% 0.20/0.53 ! [X0,X1,X2] : (((irel @ X2 @ X0) != $true) | ((irel @ X2 @ X1) = $true) | ((irel @ X0 @ X1) != $true))),
% 0.20/0.53 inference(flattening,[],[f77])).
% 0.20/0.53 thf(f77,plain,(
% 0.20/0.53 ! [X0,X1,X2] : (((irel @ X2 @ X1) = $true) | (((irel @ X0 @ X1) != $true) | ((irel @ X2 @ X0) != $true)))),
% 0.20/0.53 inference(ennf_transformation,[],[f51])).
% 0.20/0.53 thf(f51,plain,(
% 0.20/0.53 ! [X0,X1,X2] : ((((irel @ X0 @ X1) = $true) & ((irel @ X2 @ X0) = $true)) => ((irel @ X2 @ X1) = $true))),
% 0.20/0.53 inference(fool_elimination,[],[f50])).
% 0.20/0.53 thf(f50,plain,(
% 0.20/0.53 ! [X0,X1,X2] : (((irel @ X0 @ X1) & (irel @ X2 @ X0)) => (irel @ X2 @ X1))),
% 0.20/0.53 inference(rectify,[],[f2])).
% 0.20/0.53 thf(f2,axiom,(
% 0.20/0.53 ! [X1,X2,X0] : (((irel @ X1 @ X2) & (irel @ X0 @ X1)) => (irel @ X0 @ X2))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
% 0.20/0.54 thf(f1071,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($true != (irel @ sK7 @ X0)) | ($true = (irel @ sK5 @ X0))) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1064])).
% 0.20/0.54 thf(f1064,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($true != (irel @ sK7 @ X0)) | ($true = (irel @ sK5 @ X0)) | ($true != $true)) )),
% 0.20/0.54 inference(superposition,[],[f89,f172])).
% 0.20/0.54 thf(f172,plain,(
% 0.20/0.54 ((irel @ sK5 @ sK7) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f170])).
% 0.20/0.54 thf(f1076,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($true != (irel @ sK5 @ X0)) | ((irel @ sK3 @ X0) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1062])).
% 0.20/0.54 thf(f1062,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($true != (irel @ sK5 @ X0)) | ($true != $true) | ((irel @ sK3 @ X0) = $true)) )),
% 0.20/0.54 inference(superposition,[],[f89,f161])).
% 0.20/0.54 thf(f161,plain,(
% 0.20/0.54 ((irel @ sK3 @ sK5) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f159])).
% 0.20/0.54 thf(f1073,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK3 @ X0) != $true) | ((irel @ sK1 @ X0) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1060])).
% 0.20/0.54 thf(f1060,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK3 @ X0) != $true) | ((irel @ sK1 @ X0) = $true) | ($true != $true)) )),
% 0.20/0.54 inference(superposition,[],[f89,f150])).
% 0.20/0.54 thf(f150,plain,(
% 0.20/0.54 ((irel @ sK1 @ sK3) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f148])).
% 0.20/0.54 thf(f2824,plain,(
% 0.20/0.54 ~spl0_7 | ~spl0_81),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f2823])).
% 0.20/0.54 thf(f2823,plain,(
% 0.20/0.54 $false | (~spl0_7 | ~spl0_81)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2822])).
% 0.20/0.54 thf(f2822,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_7 | ~spl0_81)),
% 0.20/0.54 inference(backward_demodulation,[],[f1451,f236])).
% 0.20/0.54 thf(f236,plain,(
% 0.20/0.54 ((o31 @ sK6) = $false) | ~spl0_7),
% 0.20/0.54 inference(avatar_component_clause,[],[f234])).
% 0.20/0.54 thf(f234,plain,(
% 0.20/0.54 spl0_7 <=> ((o31 @ sK6) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.20/0.54 thf(f1451,plain,(
% 0.20/0.54 ((o31 @ sK6) = $true) | ~spl0_81),
% 0.20/0.54 inference(avatar_component_clause,[],[f1449])).
% 0.20/0.54 thf(f1449,plain,(
% 0.20/0.54 spl0_81 <=> ((o31 @ sK6) = $true)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_81])])).
% 0.20/0.54 thf(f2811,plain,(
% 0.20/0.54 spl0_44 | ~spl0_6),
% 0.20/0.54 inference(avatar_split_clause,[],[f2810,f229,f589])).
% 0.20/0.54 thf(f589,plain,(
% 0.20/0.54 spl0_44 <=> ! [X0] : (((o21 @ X0) = $true) | ($false = (irel @ sK5 @ X0)))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_44])])).
% 0.20/0.54 thf(f229,plain,(
% 0.20/0.54 spl0_6 <=> ((o22 @ sK8) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.20/0.54 thf(f2810,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o21 @ X0) = $true) | ($false = (irel @ sK5 @ X0))) ) | ~spl0_6),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2809])).
% 0.20/0.54 thf(f2809,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = (irel @ sK5 @ X0)) | ((o21 @ X0) = $true) | ($false = $true)) ) | ~spl0_6),
% 0.20/0.54 inference(forward_demodulation,[],[f1146,f231])).
% 0.20/0.54 thf(f231,plain,(
% 0.20/0.54 ((o22 @ sK8) = $false) | ~spl0_6),
% 0.20/0.54 inference(avatar_component_clause,[],[f229])).
% 0.20/0.54 thf(f1146,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = (irel @ sK5 @ X0)) | ((o21 @ X0) = $true) | ((o22 @ sK8) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1124])).
% 0.20/0.54 thf(f1124,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = $true) | ((o21 @ X0) = $true) | ($false = (irel @ sK5 @ X0)) | ((o22 @ sK8) = $true)) )),
% 0.20/0.54 inference(superposition,[],[f1104,f205])).
% 0.20/0.54 thf(f205,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (o22 @ X3)) | ($true = (o21 @ X2)) | ((irel @ X1 @ X2) = $false)) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f204])).
% 0.20/0.54 thf(f204,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((irel @ X1 @ X3) => (o22 @ X3))) | ((irel @ X1 @ X2) = $false) | ($true = (o21 @ X2))) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f203])).
% 0.20/0.54 thf(f203,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (o21 @ X2)) | ((irel @ X1 @ X2) = $false) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (o22 @ Y0))) @ X3))) )),
% 0.20/0.54 inference(pi_clausification,[],[f202])).
% 0.20/0.54 thf(f202,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : (((irel @ X1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o22 @ Y0)))) = $true) | ($true = (o21 @ X2))) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f201])).
% 0.20/0.54 thf(f201,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((irel @ X1 @ X2) => (o21 @ X2))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o22 @ Y0)))) = $true)) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f200])).
% 0.20/0.54 thf(f200,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (o21 @ Y0))) @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o22 @ Y0)))) = $true)) )),
% 0.20/0.54 inference(pi_clausification,[],[f199])).
% 0.20/0.54 thf(f199,plain,(
% 0.20/0.54 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o21 @ Y0)))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o22 @ Y0)))) = $true)) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f198])).
% 0.20/0.54 thf(f198,plain,(
% 0.20/0.54 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o21 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o22 @ Y0))))) = $true)) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f197])).
% 0.20/0.54 thf(f197,plain,(
% 0.20/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o21 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o22 @ Y1)))))) @ X1) = $true)) )),
% 0.20/0.54 inference(pi_clausification,[],[f196])).
% 0.20/0.54 thf(f196,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o21 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o22 @ Y1))))))) = $true)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f115])).
% 0.20/0.54 thf(f115,plain,(
% 0.20/0.54 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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)) @ o21) @ ((^[Y0 : $i > $o]: (Y0)) @ o22))))),
% 0.20/0.54 inference(definition_unfolding,[],[f92,f84,f108,f103,f103])).
% 0.20/0.54 thf(f92,plain,(
% 0.20/0.54 ((ivalid @ (ior @ (iatom @ o21) @ (iatom @ o22))) = $true)),
% 0.20/0.54 inference(cnf_transformation,[],[f75])).
% 0.20/0.54 thf(f75,plain,(
% 0.20/0.54 ((ivalid @ (ior @ (iatom @ o21) @ (iatom @ o22))) = $true)),
% 0.20/0.54 inference(fool_elimination,[],[f74])).
% 0.20/0.54 thf(f74,plain,(
% 0.20/0.54 (ivalid @ (ior @ (iatom @ o21) @ (iatom @ o22)))),
% 0.20/0.54 inference(rectify,[],[f23])).
% 0.20/0.54 thf(f23,axiom,(
% 0.20/0.54 (ivalid @ (ior @ (iatom @ o21) @ (iatom @ o22)))),
% 0.20/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2)).
% 0.20/0.54 thf(f1104,plain,(
% 0.20/0.54 ((irel @ sK5 @ sK8) = $true)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1102])).
% 0.20/0.54 thf(f1102,plain,(
% 0.20/0.54 ($true != $true) | ((irel @ sK5 @ sK8) = $true)),
% 0.20/0.54 inference(superposition,[],[f1071,f178])).
% 0.20/0.54 thf(f178,plain,(
% 0.20/0.54 ((irel @ sK7 @ sK8) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f176])).
% 0.20/0.54 thf(f176,plain,(
% 0.20/0.54 (((irel @ sK7 @ sK8) => ((o22 @ sK8) & (o12 @ sK8))) = $false)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f175])).
% 0.20/0.54 thf(f175,plain,(
% 0.20/0.54 ($false = ((^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((o22 @ Y0) & (o12 @ Y0)))) @ sK8))),
% 0.20/0.54 inference(sigma_clausification,[],[f174])).
% 0.20/0.54 thf(f174,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((o22 @ Y0) & (o12 @ Y0))))) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f171])).
% 0.20/0.54 thf(f2805,plain,(
% 0.20/0.54 ~spl0_2 | ~spl0_17),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f2804])).
% 0.20/0.54 thf(f2804,plain,(
% 0.20/0.54 $false | (~spl0_2 | ~spl0_17)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2803])).
% 0.20/0.54 thf(f2803,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_2 | ~spl0_17)),
% 0.20/0.54 inference(forward_demodulation,[],[f2772,f213])).
% 0.20/0.54 thf(f213,plain,(
% 0.20/0.54 ((o32 @ sK11) = $false) | ~spl0_2),
% 0.20/0.54 inference(avatar_component_clause,[],[f211])).
% 0.20/0.54 thf(f211,plain,(
% 0.20/0.54 spl0_2 <=> ((o32 @ sK11) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.20/0.54 thf(f2772,plain,(
% 0.20/0.54 ((o32 @ sK11) = $true) | ~spl0_17),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2734])).
% 0.20/0.54 thf(f2734,plain,(
% 0.20/0.54 ((o32 @ sK11) = $true) | ($false = $true) | ~spl0_17),
% 0.20/0.54 inference(superposition,[],[f2343,f296])).
% 0.20/0.54 thf(f296,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((o32 @ X0) = $true)) ) | ~spl0_17),
% 0.20/0.54 inference(avatar_component_clause,[],[f295])).
% 0.20/0.54 thf(f295,plain,(
% 0.20/0.54 spl0_17 <=> ! [X0] : (((o32 @ X0) = $true) | ((irel @ sK1 @ X0) = $false))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 0.20/0.54 thf(f2343,plain,(
% 0.20/0.54 ((irel @ sK1 @ sK11) = $true)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2313])).
% 0.20/0.54 thf(f2313,plain,(
% 0.20/0.54 ((irel @ sK1 @ sK11) = $true) | ($true != $true)),
% 0.20/0.54 inference(superposition,[],[f1073,f1592])).
% 0.20/0.54 thf(f1592,plain,(
% 0.20/0.54 ($true = (irel @ sK3 @ sK11))),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1589])).
% 0.20/0.54 thf(f1589,plain,(
% 0.20/0.54 ($true = (irel @ sK3 @ sK11)) | ($true != $true)),
% 0.20/0.54 inference(superposition,[],[f1076,f1203])).
% 0.20/0.54 thf(f1203,plain,(
% 0.20/0.54 ((irel @ sK5 @ sK11) = $true)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1190])).
% 0.20/0.54 thf(f1190,plain,(
% 0.20/0.54 ($true != $true) | ((irel @ sK5 @ sK11) = $true)),
% 0.20/0.54 inference(superposition,[],[f1071,f1118])).
% 0.20/0.54 thf(f1118,plain,(
% 0.20/0.54 ($true = (irel @ sK7 @ sK11))),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1116])).
% 0.20/0.54 thf(f1116,plain,(
% 0.20/0.54 ($true != $true) | ($true = (irel @ sK7 @ sK11))),
% 0.20/0.54 inference(superposition,[],[f1072,f194])).
% 0.20/0.54 thf(f194,plain,(
% 0.20/0.54 ((irel @ sK9 @ sK11) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f192])).
% 0.20/0.54 thf(f192,plain,(
% 0.20/0.54 ($false = ((irel @ sK9 @ sK11) => ((o32 @ sK11) & (o22 @ sK11))))),
% 0.20/0.54 inference(beta_eta_normalization,[],[f191])).
% 0.20/0.54 thf(f191,plain,(
% 0.20/0.54 (((^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o22 @ Y0)))) @ sK11) = $false)),
% 0.20/0.54 inference(sigma_clausification,[],[f184])).
% 0.20/0.54 thf(f184,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK9 @ Y0) => ((o32 @ Y0) & (o22 @ Y0))))) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f182])).
% 0.20/0.54 thf(f2802,plain,(
% 0.20/0.54 ~spl0_8 | ~spl0_31),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f2801])).
% 0.20/0.54 thf(f2801,plain,(
% 0.20/0.54 $false | (~spl0_8 | ~spl0_31)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2800])).
% 0.20/0.54 thf(f2800,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_8 | ~spl0_31)),
% 0.20/0.54 inference(forward_demodulation,[],[f2389,f240])).
% 0.20/0.54 thf(f240,plain,(
% 0.20/0.54 ($false = (o21 @ sK6)) | ~spl0_8),
% 0.20/0.54 inference(avatar_component_clause,[],[f238])).
% 0.20/0.54 thf(f238,plain,(
% 0.20/0.54 spl0_8 <=> ($false = (o21 @ sK6))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.20/0.54 thf(f2389,plain,(
% 0.20/0.54 ((o21 @ sK6) = $true) | ~spl0_31),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2355])).
% 0.20/0.54 thf(f2355,plain,(
% 0.20/0.54 ($false = $true) | ((o21 @ sK6) = $true) | ~spl0_31),
% 0.20/0.54 inference(superposition,[],[f470,f1596])).
% 0.20/0.54 thf(f1596,plain,(
% 0.20/0.54 ((irel @ sK3 @ sK6) = $true)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1584])).
% 0.20/0.54 thf(f1584,plain,(
% 0.20/0.54 ($true != $true) | ((irel @ sK3 @ sK6) = $true)),
% 0.20/0.54 inference(superposition,[],[f1076,f167])).
% 0.20/0.54 thf(f167,plain,(
% 0.20/0.54 ((irel @ sK5 @ sK6) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f165])).
% 0.20/0.54 thf(f165,plain,(
% 0.20/0.54 (((irel @ sK5 @ sK6) => ((o31 @ sK6) & (o21 @ sK6))) = $false)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f164])).
% 0.20/0.54 thf(f164,plain,(
% 0.20/0.54 (((^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((o31 @ Y0) & (o21 @ Y0)))) @ sK6) = $false)),
% 0.20/0.54 inference(sigma_clausification,[],[f163])).
% 0.20/0.54 thf(f163,plain,(
% 0.20/0.54 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK5 @ Y0) => ((o31 @ Y0) & (o21 @ Y0))))))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f160])).
% 0.20/0.54 thf(f470,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK3 @ X0) = $false) | ((o21 @ X0) = $true)) ) | ~spl0_31),
% 0.20/0.54 inference(avatar_component_clause,[],[f469])).
% 0.20/0.54 thf(f469,plain,(
% 0.20/0.54 spl0_31 <=> ! [X0] : (((o21 @ X0) = $true) | ((irel @ sK3 @ X0) = $false))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 0.20/0.54 thf(f2781,plain,(
% 0.20/0.54 spl0_16 | ~spl0_1),
% 0.20/0.54 inference(avatar_split_clause,[],[f2780,f207,f291])).
% 0.20/0.54 thf(f291,plain,(
% 0.20/0.54 spl0_16 <=> ! [X0] : (((o21 @ X0) = $true) | ((irel @ sK1 @ X0) = $false))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.20/0.54 thf(f207,plain,(
% 0.20/0.54 spl0_1 <=> ((o22 @ sK11) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.20/0.54 thf(f2780,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o21 @ X0) = $true) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_1),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2779])).
% 0.20/0.54 thf(f2779,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = $true) | ((irel @ sK1 @ X0) = $false) | ((o21 @ X0) = $true)) ) | ~spl0_1),
% 0.20/0.54 inference(forward_demodulation,[],[f2761,f209])).
% 0.20/0.54 thf(f209,plain,(
% 0.20/0.54 ((o22 @ sK11) = $false) | ~spl0_1),
% 0.20/0.54 inference(avatar_component_clause,[],[f207])).
% 0.20/0.54 thf(f2761,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((o21 @ X0) = $true) | ((o22 @ sK11) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2737])).
% 0.20/0.54 thf(f2737,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o21 @ X0) = $true) | ($false = $true) | ((irel @ sK1 @ X0) = $false) | ((o22 @ sK11) = $true)) )),
% 0.20/0.54 inference(superposition,[],[f2343,f205])).
% 0.20/0.54 thf(f2539,plain,(
% 0.20/0.54 ~spl0_3 | ~spl0_47),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f2538])).
% 0.20/0.54 thf(f2538,plain,(
% 0.20/0.54 $false | (~spl0_3 | ~spl0_47)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2537])).
% 0.20/0.54 thf(f2537,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_3 | ~spl0_47)),
% 0.20/0.54 inference(forward_demodulation,[],[f2514,f218])).
% 0.20/0.54 thf(f2514,plain,(
% 0.20/0.54 ((o12 @ sK10) = $true) | ~spl0_47),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2506])).
% 0.20/0.54 thf(f2506,plain,(
% 0.20/0.54 ($false = $true) | ((o12 @ sK10) = $true) | ~spl0_47),
% 0.20/0.54 inference(superposition,[],[f1591,f623])).
% 0.20/0.54 thf(f623,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK3 @ X0) = $false) | ((o12 @ X0) = $true)) ) | ~spl0_47),
% 0.20/0.54 inference(avatar_component_clause,[],[f622])).
% 0.20/0.54 thf(f622,plain,(
% 0.20/0.54 spl0_47 <=> ! [X0] : (((o12 @ X0) = $true) | ((irel @ sK3 @ X0) = $false))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_47])])).
% 0.20/0.54 thf(f2536,plain,(
% 0.20/0.54 ~spl0_5 | ~spl0_47),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f2535])).
% 0.20/0.54 thf(f2535,plain,(
% 0.20/0.54 $false | (~spl0_5 | ~spl0_47)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2534])).
% 0.20/0.54 thf(f2534,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_5 | ~spl0_47)),
% 0.20/0.54 inference(forward_demodulation,[],[f2517,f227])).
% 0.20/0.54 thf(f227,plain,(
% 0.20/0.54 ($false = (o12 @ sK8)) | ~spl0_5),
% 0.20/0.54 inference(avatar_component_clause,[],[f225])).
% 0.20/0.54 thf(f225,plain,(
% 0.20/0.54 spl0_5 <=> ($false = (o12 @ sK8))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.20/0.54 thf(f2517,plain,(
% 0.20/0.54 ((o12 @ sK8) = $true) | ~spl0_47),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2493])).
% 0.20/0.54 thf(f2493,plain,(
% 0.20/0.54 ($false = $true) | ((o12 @ sK8) = $true) | ~spl0_47),
% 0.20/0.54 inference(superposition,[],[f623,f1593])).
% 0.20/0.54 thf(f1593,plain,(
% 0.20/0.54 ((irel @ sK3 @ sK8) = $true)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1586])).
% 0.20/0.54 thf(f1586,plain,(
% 0.20/0.54 ($true != $true) | ((irel @ sK3 @ sK8) = $true)),
% 0.20/0.54 inference(superposition,[],[f1076,f1104])).
% 0.20/0.54 thf(f2351,plain,(
% 0.20/0.54 spl0_31 | ~spl0_1),
% 0.20/0.54 inference(avatar_split_clause,[],[f2350,f207,f469])).
% 0.20/0.54 thf(f2350,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o21 @ X0) = $true) | ((irel @ sK3 @ X0) = $false)) ) | ~spl0_1),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2349])).
% 0.20/0.54 thf(f2349,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o21 @ X0) = $true) | ((irel @ sK3 @ X0) = $false) | ($false = $true)) ) | ~spl0_1),
% 0.20/0.54 inference(forward_demodulation,[],[f2331,f209])).
% 0.20/0.54 thf(f2331,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o22 @ sK11) = $true) | ((irel @ sK3 @ X0) = $false) | ((o21 @ X0) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2305])).
% 0.20/0.54 thf(f2305,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = $true) | ((o22 @ sK11) = $true) | ((o21 @ X0) = $true) | ((irel @ sK3 @ X0) = $false)) )),
% 0.20/0.54 inference(superposition,[],[f1592,f205])).
% 0.20/0.54 thf(f2025,plain,(
% 0.20/0.54 ~spl0_12 | ~spl0_14),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f2024])).
% 0.20/0.54 thf(f2024,plain,(
% 0.20/0.54 $false | (~spl0_12 | ~spl0_14)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f2023])).
% 0.20/0.54 thf(f2023,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_12 | ~spl0_14)),
% 0.20/0.54 inference(backward_demodulation,[],[f284,f258])).
% 0.20/0.54 thf(f258,plain,(
% 0.20/0.54 ((o11 @ sK2) = $false) | ~spl0_12),
% 0.20/0.54 inference(avatar_component_clause,[],[f256])).
% 0.20/0.54 thf(f256,plain,(
% 0.20/0.54 spl0_12 <=> ((o11 @ sK2) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.20/0.54 thf(f284,plain,(
% 0.20/0.54 ((o11 @ sK2) = $true) | ~spl0_14),
% 0.20/0.54 inference(avatar_component_clause,[],[f282])).
% 0.20/0.54 thf(f282,plain,(
% 0.20/0.54 spl0_14 <=> ((o11 @ sK2) = $true)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.20/0.54 thf(f1703,plain,(
% 0.20/0.54 spl0_17 | ~spl0_10),
% 0.20/0.54 inference(avatar_split_clause,[],[f1702,f247,f295])).
% 0.20/0.54 thf(f247,plain,(
% 0.20/0.54 spl0_10 <=> ($false = (o31 @ sK4))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.20/0.54 thf(f1702,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((o32 @ X0) = $true)) ) | ~spl0_10),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1701])).
% 0.20/0.54 thf(f1701,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = $true) | ((irel @ sK1 @ X0) = $false) | ((o32 @ X0) = $true)) ) | ~spl0_10),
% 0.20/0.54 inference(forward_demodulation,[],[f1300,f249])).
% 0.20/0.54 thf(f249,plain,(
% 0.20/0.54 ($false = (o31 @ sK4)) | ~spl0_10),
% 0.20/0.54 inference(avatar_component_clause,[],[f247])).
% 0.20/0.54 thf(f1300,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (o31 @ sK4)) | ((o32 @ X0) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1289])).
% 0.20/0.54 thf(f1289,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = $true) | ((irel @ sK1 @ X0) = $false) | ($true = (o31 @ sK4)) | ((o32 @ X0) = $true)) )),
% 0.20/0.54 inference(superposition,[],[f1283,f136])).
% 0.20/0.54 thf(f136,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ((o32 @ X2) = $true) | ((irel @ X1 @ X2) = $false) | ((o31 @ X3) = $true)) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f135])).
% 0.20/0.54 thf(f135,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((irel @ X1 @ X3) => (o31 @ X3))) | ((irel @ X1 @ X2) = $false) | ((o32 @ X2) = $true)) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f134])).
% 0.20/0.54 thf(f134,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X1 @ X2) => (o32 @ X2)) = $true) | ($true = ((irel @ X1 @ X3) => (o31 @ X3)))) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f133])).
% 0.20/0.54 thf(f133,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X1 @ X2) => (o32 @ X2)) = $true) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (o31 @ Y0))) @ X3) = $true)) )),
% 0.20/0.54 inference(pi_clausification,[],[f132])).
% 0.20/0.54 thf(f132,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o31 @ Y0))))) | (((irel @ X1 @ X2) => (o32 @ X2)) = $true)) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f131])).
% 0.20/0.54 thf(f131,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((irel @ X1 @ Y0) => (o32 @ Y0))) @ X2) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o31 @ Y0)))))) )),
% 0.20/0.54 inference(pi_clausification,[],[f130])).
% 0.20/0.54 thf(f130,plain,(
% 0.20/0.54 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o32 @ Y0)))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o31 @ Y0)))))) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f129])).
% 0.20/0.54 thf(f129,plain,(
% 0.20/0.54 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o31 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o32 @ Y0))))) = $true)) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f128])).
% 0.20/0.54 thf(f128,plain,(
% 0.20/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o31 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o32 @ Y1)))))) @ X1) = $true)) )),
% 0.20/0.54 inference(pi_clausification,[],[f127])).
% 0.20/0.54 thf(f127,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o31 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o32 @ Y1))))))) = $true)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f113])).
% 0.20/0.54 thf(f113,plain,(
% 0.20/0.54 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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)) @ o31) @ ((^[Y0 : $i > $o]: (Y0)) @ o32))) = $true)),
% 0.20/0.54 inference(definition_unfolding,[],[f79,f84,f108,f103,f103])).
% 0.20/0.54 thf(f79,plain,(
% 0.20/0.54 ((ivalid @ (ior @ (iatom @ o31) @ (iatom @ o32))) = $true)),
% 0.20/0.54 inference(cnf_transformation,[],[f67])).
% 0.20/0.54 thf(f67,plain,(
% 0.20/0.54 ((ivalid @ (ior @ (iatom @ o31) @ (iatom @ o32))) = $true)),
% 0.20/0.54 inference(fool_elimination,[],[f66])).
% 0.20/0.54 thf(f66,plain,(
% 0.20/0.54 (ivalid @ (ior @ (iatom @ o31) @ (iatom @ o32)))),
% 0.20/0.54 inference(rectify,[],[f24])).
% 0.20/0.54 thf(f24,axiom,(
% 0.20/0.54 (ivalid @ (ior @ (iatom @ o31) @ (iatom @ o32)))),
% 0.20/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3)).
% 0.20/0.54 thf(f1283,plain,(
% 0.20/0.54 ((irel @ sK1 @ sK4) = $true)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1280])).
% 0.20/0.54 thf(f1280,plain,(
% 0.20/0.54 ($true != $true) | ((irel @ sK1 @ sK4) = $true)),
% 0.20/0.54 inference(superposition,[],[f1073,f156])).
% 0.20/0.54 thf(f156,plain,(
% 0.20/0.54 ((irel @ sK3 @ sK4) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f154])).
% 0.20/0.54 thf(f154,plain,(
% 0.20/0.54 (((irel @ sK3 @ sK4) => ((o31 @ sK4) & (o11 @ sK4))) = $false)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f153])).
% 0.20/0.54 thf(f153,plain,(
% 0.20/0.54 (((^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((o31 @ Y0) & (o11 @ Y0)))) @ sK4) = $false)),
% 0.20/0.54 inference(sigma_clausification,[],[f152])).
% 0.20/0.54 thf(f152,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((o31 @ Y0) & (o11 @ Y0))))) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f149])).
% 0.20/0.54 thf(f1574,plain,(
% 0.20/0.54 spl0_71 | ~spl0_80),
% 0.20/0.54 inference(avatar_split_clause,[],[f1563,f1445,f869])).
% 0.20/0.54 thf(f1445,plain,(
% 0.20/0.54 spl0_80 <=> ! [X0] : (((o32 @ X0) = $true) | ($false = (irel @ sK5 @ X0)))),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_80])])).
% 0.20/0.54 thf(f1563,plain,(
% 0.20/0.54 ((o32 @ sK10) = $true) | ~spl0_80),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1548])).
% 0.20/0.54 thf(f1548,plain,(
% 0.20/0.54 ($false = $true) | ((o32 @ sK10) = $true) | ~spl0_80),
% 0.20/0.54 inference(superposition,[],[f1446,f1271])).
% 0.20/0.54 thf(f1446,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = (irel @ sK5 @ X0)) | ((o32 @ X0) = $true)) ) | ~spl0_80),
% 0.20/0.54 inference(avatar_component_clause,[],[f1445])).
% 0.20/0.54 thf(f1493,plain,(
% 0.20/0.54 ~spl0_8 | ~spl0_43),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f1492])).
% 0.20/0.54 thf(f1492,plain,(
% 0.20/0.54 $false | (~spl0_8 | ~spl0_43)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1491])).
% 0.20/0.54 thf(f1491,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_8 | ~spl0_43)),
% 0.20/0.54 inference(forward_demodulation,[],[f586,f240])).
% 0.20/0.54 thf(f586,plain,(
% 0.20/0.54 ((o21 @ sK6) = $true) | ~spl0_43),
% 0.20/0.54 inference(avatar_component_clause,[],[f584])).
% 0.20/0.54 thf(f584,plain,(
% 0.20/0.54 spl0_43 <=> ((o21 @ sK6) = $true)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_43])])).
% 0.20/0.54 thf(f1453,plain,(
% 0.20/0.54 spl0_81 | spl0_80),
% 0.20/0.54 inference(avatar_split_clause,[],[f554,f1445,f1449])).
% 0.20/0.54 thf(f554,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = (irel @ sK5 @ X0)) | ((o31 @ sK6) = $true) | ((o32 @ X0) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f545])).
% 0.20/0.54 thf(f545,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = (irel @ sK5 @ X0)) | ($false = $true) | ((o32 @ X0) = $true) | ((o31 @ sK6) = $true)) )),
% 0.20/0.54 inference(superposition,[],[f167,f136])).
% 0.20/0.54 thf(f1438,plain,(
% 0.20/0.54 spl0_43 | ~spl0_44),
% 0.20/0.54 inference(avatar_split_clause,[],[f1426,f589,f584])).
% 0.20/0.54 thf(f1426,plain,(
% 0.20/0.54 ((o21 @ sK6) = $true) | ~spl0_44),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f1418])).
% 0.20/0.54 thf(f1418,plain,(
% 0.20/0.54 ($false = $true) | ((o21 @ sK6) = $true) | ~spl0_44),
% 0.20/0.54 inference(superposition,[],[f167,f590])).
% 0.20/0.54 thf(f590,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = (irel @ sK5 @ X0)) | ((o21 @ X0) = $true)) ) | ~spl0_44),
% 0.20/0.54 inference(avatar_component_clause,[],[f589])).
% 0.20/0.54 thf(f985,plain,(
% 0.20/0.54 ~spl0_9 | ~spl0_45),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f984])).
% 0.20/0.54 thf(f984,plain,(
% 0.20/0.54 $false | (~spl0_9 | ~spl0_45)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f983])).
% 0.20/0.54 thf(f983,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_9 | ~spl0_45)),
% 0.20/0.54 inference(backward_demodulation,[],[f615,f245])).
% 0.20/0.54 thf(f245,plain,(
% 0.20/0.54 ((o11 @ sK4) = $false) | ~spl0_9),
% 0.20/0.54 inference(avatar_component_clause,[],[f243])).
% 0.20/0.54 thf(f243,plain,(
% 0.20/0.54 spl0_9 <=> ((o11 @ sK4) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.20/0.54 thf(f615,plain,(
% 0.20/0.54 ((o11 @ sK4) = $true) | ~spl0_45),
% 0.20/0.54 inference(avatar_component_clause,[],[f613])).
% 0.20/0.54 thf(f613,plain,(
% 0.20/0.54 spl0_45 <=> ((o11 @ sK4) = $true)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_45])])).
% 0.20/0.54 thf(f626,plain,(
% 0.20/0.54 spl0_47 | spl0_45),
% 0.20/0.54 inference(avatar_split_clause,[],[f445,f613,f622])).
% 0.20/0.54 thf(f445,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK3 @ X0) = $false) | ((o11 @ sK4) = $true) | ((o12 @ X0) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f436])).
% 0.20/0.54 thf(f436,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (($false = $true) | ((o12 @ X0) = $true) | ((irel @ sK3 @ X0) = $false) | ((o11 @ sK4) = $true)) )),
% 0.20/0.54 inference(superposition,[],[f126,f156])).
% 0.20/0.54 thf(f126,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ((o11 @ X3) = $true) | ((o12 @ X2) = $true) | ((irel @ X1 @ X2) = $false)) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f125])).
% 0.20/0.54 thf(f125,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((o12 @ X2) = $true) | ((irel @ X1 @ X2) = $false) | (((irel @ X1 @ X3) => (o11 @ X3)) = $true)) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f124])).
% 0.20/0.54 thf(f124,plain,(
% 0.20/0.54 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((o12 @ X2) = $true) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (o11 @ Y0))) @ X3) = $true) | ((irel @ X1 @ X2) = $false)) )),
% 0.20/0.54 inference(pi_clausification,[],[f123])).
% 0.20/0.54 thf(f123,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o11 @ Y0))))) | ((o12 @ X2) = $true) | ((irel @ X1 @ X2) = $false)) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f122])).
% 0.20/0.54 thf(f122,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : ((((irel @ X1 @ X2) => (o12 @ X2)) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o11 @ Y0)))))) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f121])).
% 0.20/0.54 thf(f121,plain,(
% 0.20/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o11 @ Y0))))) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (o12 @ Y0))) @ X2))) )),
% 0.20/0.54 inference(pi_clausification,[],[f120])).
% 0.20/0.54 thf(f120,plain,(
% 0.20/0.54 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o12 @ Y0)))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o11 @ Y0)))))) )),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f119])).
% 0.20/0.54 thf(f119,plain,(
% 0.20/0.54 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o11 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (o12 @ Y0))))) = $true)) )),
% 0.20/0.54 inference(beta_eta_normalization,[],[f118])).
% 0.20/0.54 thf(f118,plain,(
% 0.20/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o11 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o12 @ Y1)))))) @ X1) = $true)) )),
% 0.20/0.54 inference(pi_clausification,[],[f117])).
% 0.20/0.54 thf(f117,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o11 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o12 @ Y1))))))) = $true)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f114])).
% 0.20/0.54 thf(f114,plain,(
% 0.20/0.54 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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)) @ o11) @ ((^[Y0 : $i > $o]: (Y0)) @ o12))) = $true)),
% 0.20/0.54 inference(definition_unfolding,[],[f82,f84,f108,f103,f103])).
% 0.20/0.54 thf(f82,plain,(
% 0.20/0.54 ((ivalid @ (ior @ (iatom @ o11) @ (iatom @ o12))) = $true)),
% 0.20/0.54 inference(cnf_transformation,[],[f43])).
% 0.20/0.54 thf(f43,plain,(
% 0.20/0.54 ((ivalid @ (ior @ (iatom @ o11) @ (iatom @ o12))) = $true)),
% 0.20/0.54 inference(fool_elimination,[],[f42])).
% 0.20/0.54 thf(f42,plain,(
% 0.20/0.54 (ivalid @ (ior @ (iatom @ o11) @ (iatom @ o12)))),
% 0.20/0.54 inference(rectify,[],[f22])).
% 0.20/0.54 thf(f22,axiom,(
% 0.20/0.54 (ivalid @ (ior @ (iatom @ o11) @ (iatom @ o12)))),
% 0.20/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1)).
% 0.20/0.54 thf(f410,plain,(
% 0.20/0.54 ~spl0_11 | ~spl0_16),
% 0.20/0.54 inference(avatar_contradiction_clause,[],[f409])).
% 0.20/0.54 thf(f409,plain,(
% 0.20/0.54 $false | (~spl0_11 | ~spl0_16)),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f408])).
% 0.20/0.54 thf(f408,plain,(
% 0.20/0.54 ($false = $true) | (~spl0_11 | ~spl0_16)),
% 0.20/0.54 inference(forward_demodulation,[],[f403,f254])).
% 0.20/0.54 thf(f254,plain,(
% 0.20/0.54 ((o21 @ sK2) = $false) | ~spl0_11),
% 0.20/0.54 inference(avatar_component_clause,[],[f252])).
% 0.20/0.54 thf(f252,plain,(
% 0.20/0.54 spl0_11 <=> ((o21 @ sK2) = $false)),
% 0.20/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.20/0.54 thf(f403,plain,(
% 0.20/0.54 ((o21 @ sK2) = $true) | ~spl0_16),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f397])).
% 0.20/0.54 thf(f397,plain,(
% 0.20/0.54 ($false = $true) | ((o21 @ sK2) = $true) | ~spl0_16),
% 0.20/0.54 inference(superposition,[],[f292,f145])).
% 0.20/0.54 thf(f145,plain,(
% 0.20/0.54 ((irel @ sK1 @ sK2) = $true)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f143])).
% 0.20/0.54 thf(f143,plain,(
% 0.20/0.54 (((irel @ sK1 @ sK2) => ((o21 @ sK2) & (o11 @ sK2))) = $false)),
% 0.20/0.54 inference(beta_eta_normalization,[],[f142])).
% 0.20/0.54 thf(f142,plain,(
% 0.20/0.54 ($false = ((^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((o21 @ Y0) & (o11 @ Y0)))) @ sK2))),
% 0.20/0.54 inference(sigma_clausification,[],[f141])).
% 0.20/0.54 thf(f141,plain,(
% 0.20/0.54 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => ((o21 @ Y0) & (o11 @ Y0))))) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f139])).
% 0.20/0.54 thf(f292,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((o21 @ X0) = $true)) ) | ~spl0_16),
% 0.20/0.54 inference(avatar_component_clause,[],[f291])).
% 0.20/0.54 thf(f304,plain,(
% 0.20/0.54 spl0_14 | spl0_13),
% 0.20/0.54 inference(avatar_split_clause,[],[f272,f279,f282])).
% 0.20/0.54 thf(f272,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((o12 @ X0) = $true) | ((o11 @ sK2) = $true)) )),
% 0.20/0.54 inference(trivial_inequality_removal,[],[f271])).
% 0.20/0.54 thf(f271,plain,(
% 0.20/0.54 ( ! [X0 : $i] : (((o11 @ sK2) = $true) | ((irel @ sK1 @ X0) = $false) | ((o12 @ X0) = $true) | ($false = $true)) )),
% 0.20/0.54 inference(superposition,[],[f126,f145])).
% 0.20/0.54 thf(f259,plain,(
% 0.20/0.54 spl0_11 | spl0_12),
% 0.20/0.54 inference(avatar_split_clause,[],[f146,f256,f252])).
% 0.20/0.54 thf(f146,plain,(
% 0.20/0.54 ((o21 @ sK2) = $false) | ((o11 @ sK2) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f144])).
% 0.20/0.54 thf(f144,plain,(
% 0.20/0.54 ($false = ((o21 @ sK2) & (o11 @ sK2)))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f143])).
% 0.20/0.54 thf(f250,plain,(
% 0.20/0.54 spl0_9 | spl0_10),
% 0.20/0.54 inference(avatar_split_clause,[],[f157,f247,f243])).
% 0.20/0.54 thf(f157,plain,(
% 0.20/0.54 ((o11 @ sK4) = $false) | ($false = (o31 @ sK4))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f155])).
% 0.20/0.54 thf(f155,plain,(
% 0.20/0.54 (((o31 @ sK4) & (o11 @ sK4)) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f154])).
% 0.20/0.54 thf(f241,plain,(
% 0.20/0.54 spl0_7 | spl0_8),
% 0.20/0.54 inference(avatar_split_clause,[],[f168,f238,f234])).
% 0.20/0.54 thf(f168,plain,(
% 0.20/0.54 ($false = (o21 @ sK6)) | ((o31 @ sK6) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f166])).
% 0.20/0.54 thf(f166,plain,(
% 0.20/0.54 ($false = ((o31 @ sK6) & (o21 @ sK6)))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f165])).
% 0.20/0.54 thf(f232,plain,(
% 0.20/0.54 spl0_5 | spl0_6),
% 0.20/0.54 inference(avatar_split_clause,[],[f179,f229,f225])).
% 0.20/0.54 thf(f179,plain,(
% 0.20/0.54 ((o22 @ sK8) = $false) | ($false = (o12 @ sK8))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f177])).
% 0.20/0.54 thf(f177,plain,(
% 0.20/0.54 (((o22 @ sK8) & (o12 @ sK8)) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f176])).
% 0.20/0.54 thf(f223,plain,(
% 0.20/0.54 spl0_3 | spl0_4),
% 0.20/0.54 inference(avatar_split_clause,[],[f190,f220,f216])).
% 0.20/0.54 thf(f190,plain,(
% 0.20/0.54 ((o12 @ sK10) = $false) | ((o32 @ sK10) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f188])).
% 0.20/0.54 thf(f188,plain,(
% 0.20/0.54 ($false = ((o32 @ sK10) & (o12 @ sK10)))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f187])).
% 0.20/0.54 thf(f214,plain,(
% 0.20/0.54 spl0_1 | spl0_2),
% 0.20/0.54 inference(avatar_split_clause,[],[f195,f211,f207])).
% 0.20/0.54 thf(f195,plain,(
% 0.20/0.54 ((o22 @ sK11) = $false) | ((o32 @ sK11) = $false)),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f193])).
% 0.20/0.54 thf(f193,plain,(
% 0.20/0.54 ($false = ((o32 @ sK11) & (o22 @ sK11)))),
% 0.20/0.54 inference(binary_proxy_clausification,[],[f192])).
% 0.20/0.54 % SZS output end Proof for theBenchmark
% 0.20/0.54 % (21916)------------------------------
% 0.20/0.54 % (21916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (21916)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (21916)Memory used [KB]: 6652
% 0.20/0.54 % (21916)Time elapsed: 0.113 s
% 0.20/0.54 % (21916)Instructions burned: 197 (million)
% 0.20/0.54 % (21916)------------------------------
% 0.20/0.54 % (21916)------------------------------
% 0.20/0.54 % (21886)Success in time 0.181 s
% 0.20/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------