TSTP Solution File: SEV095^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV095^5 : 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 : n003.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 04:11:57 EDT 2024
% Result : Theorem 1.58s 0.60s
% Output : Refutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV095^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 19:13:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.35 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
% 0.15/0.37 % (2209)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.37 % (2208)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.37 % (2210)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.37 % (2211)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.37 % (2212)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.37 % (2206)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.37 % (2209)Instruction limit reached!
% 0.15/0.37 % (2209)------------------------------
% 0.15/0.37 % (2209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (2209)Termination reason: Unknown
% 0.15/0.37 % (2209)Termination phase: Preprocessing 3
% 0.15/0.37
% 0.15/0.37 % (2209)Memory used [KB]: 895
% 0.15/0.37 % (2210)Instruction limit reached!
% 0.15/0.37 % (2210)------------------------------
% 0.15/0.37 % (2210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (2210)Termination reason: Unknown
% 0.15/0.37 % (2210)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (2210)Memory used [KB]: 895
% 0.15/0.37 % (2210)Time elapsed: 0.003 s
% 0.15/0.37 % (2210)Instructions burned: 2 (million)
% 0.15/0.37 % (2210)------------------------------
% 0.15/0.37 % (2210)------------------------------
% 0.15/0.37 % (2209)Time elapsed: 0.003 s
% 0.15/0.37 % (2209)Instructions burned: 2 (million)
% 0.15/0.37 % (2209)------------------------------
% 0.15/0.37 % (2209)------------------------------
% 0.15/0.37 % (2213)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)
% 0.21/0.38 % (2213)Instruction limit reached!
% 0.21/0.38 % (2213)------------------------------
% 0.21/0.38 % (2213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (2213)Termination reason: Unknown
% 0.21/0.38 % (2213)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (2213)Memory used [KB]: 5500
% 0.21/0.38 % (2213)Time elapsed: 0.007 s
% 0.21/0.38 % (2213)Instructions burned: 4 (million)
% 0.21/0.38 % (2213)------------------------------
% 0.21/0.38 % (2213)------------------------------
% 0.21/0.38 % (2208)Refutation not found, incomplete strategy
% 0.21/0.38 % (2208)------------------------------
% 0.21/0.38 % (2208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (2208)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (2208)Memory used [KB]: 5500
% 0.21/0.38 % (2208)Time elapsed: 0.012 s
% 0.21/0.38 % (2208)Instructions burned: 19 (million)
% 0.21/0.38 % (2208)------------------------------
% 0.21/0.38 % (2208)------------------------------
% 0.21/0.38 % (2207)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)
% 0.21/0.39 % (2212)Instruction limit reached!
% 0.21/0.39 % (2212)------------------------------
% 0.21/0.39 % (2212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (2212)Termination reason: Unknown
% 0.21/0.39 % (2212)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2212)Memory used [KB]: 5628
% 0.21/0.39 % (2212)Time elapsed: 0.015 s
% 0.21/0.39 % (2212)Instructions burned: 19 (million)
% 0.21/0.39 % (2212)------------------------------
% 0.21/0.39 % (2212)------------------------------
% 0.21/0.39 % (2207)Instruction limit reached!
% 0.21/0.39 % (2207)------------------------------
% 0.21/0.39 % (2207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (2207)Termination reason: Unknown
% 0.21/0.39 % (2207)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2207)Memory used [KB]: 5500
% 0.21/0.39 % (2207)Time elapsed: 0.004 s
% 0.21/0.39 % (2207)Instructions burned: 4 (million)
% 0.21/0.39 % (2207)------------------------------
% 0.21/0.39 % (2207)------------------------------
% 0.21/0.39 % (2215)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.39 % (2214)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.40 % (2217)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.40 % (2215)Instruction limit reached!
% 0.21/0.40 % (2215)------------------------------
% 0.21/0.40 % (2215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (2215)Termination reason: Unknown
% 0.21/0.40 % (2215)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2215)Memory used [KB]: 5628
% 0.21/0.40 % (2215)Time elapsed: 0.012 s
% 0.21/0.40 % (2215)Instructions burned: 16 (million)
% 0.21/0.40 % (2215)------------------------------
% 0.21/0.40 % (2215)------------------------------
% 0.21/0.40 % (2216)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (2216)Instruction limit reached!
% 0.21/0.40 % (2216)------------------------------
% 0.21/0.40 % (2216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (2216)Termination reason: Unknown
% 0.21/0.40 % (2216)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2216)Memory used [KB]: 5500
% 0.21/0.40 % (2216)Time elapsed: 0.004 s
% 0.21/0.40 % (2216)Instructions burned: 4 (million)
% 0.21/0.40 % (2216)------------------------------
% 0.21/0.40 % (2216)------------------------------
% 0.21/0.40 % (2218)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (2218)Instruction limit reached!
% 0.21/0.41 % (2218)------------------------------
% 0.21/0.41 % (2218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (2218)Termination reason: Unknown
% 0.21/0.41 % (2218)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (2218)Memory used [KB]: 1023
% 0.21/0.41 % (2218)Time elapsed: 0.005 s
% 0.21/0.41 % (2218)Instructions burned: 7 (million)
% 0.21/0.41 % (2218)------------------------------
% 0.21/0.41 % (2218)------------------------------
% 0.21/0.41 % (2214)Instruction limit reached!
% 0.21/0.41 % (2214)------------------------------
% 0.21/0.41 % (2214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (2214)Termination reason: Unknown
% 0.21/0.41 % (2214)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (2214)Memory used [KB]: 5628
% 0.21/0.41 % (2214)Time elapsed: 0.022 s
% 0.21/0.41 % (2214)Instructions burned: 38 (million)
% 0.21/0.41 % (2214)------------------------------
% 0.21/0.41 % (2214)------------------------------
% 0.21/0.41 % (2220)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (2219)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (2220)Instruction limit reached!
% 0.21/0.41 % (2220)------------------------------
% 0.21/0.41 % (2220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (2220)Termination reason: Unknown
% 0.21/0.41 % (2220)Termination phase: Twee Goal Transformation
% 0.21/0.41
% 0.21/0.41 % (2220)Memory used [KB]: 1023
% 0.21/0.41 % (2220)Time elapsed: 0.004 s
% 0.21/0.41 % (2220)Instructions burned: 4 (million)
% 0.21/0.41 % (2220)------------------------------
% 0.21/0.41 % (2220)------------------------------
% 0.21/0.42 % (2221)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (2221)Instruction limit reached!
% 0.21/0.42 % (2221)------------------------------
% 0.21/0.42 % (2221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (2221)Termination reason: Unknown
% 0.21/0.42 % (2221)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (2221)Memory used [KB]: 1023
% 0.21/0.42 % (2221)Time elapsed: 0.004 s
% 0.21/0.42 % (2221)Instructions burned: 4 (million)
% 0.21/0.42 % (2221)------------------------------
% 0.21/0.42 % (2221)------------------------------
% 0.21/0.42 % (2222)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (2219)Instruction limit reached!
% 0.21/0.42 % (2219)------------------------------
% 0.21/0.42 % (2219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (2219)Termination reason: Unknown
% 0.21/0.42 % (2219)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (2219)Memory used [KB]: 5628
% 0.21/0.42 % (2219)Time elapsed: 0.011 s
% 0.21/0.42 % (2219)Instructions burned: 16 (million)
% 0.21/0.42 % (2219)------------------------------
% 0.21/0.42 % (2219)------------------------------
% 0.21/0.42 % (2223)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (2222)Instruction limit reached!
% 0.21/0.42 % (2222)------------------------------
% 0.21/0.42 % (2222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (2222)Termination reason: Unknown
% 0.21/0.42 % (2222)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (2222)Memory used [KB]: 5500
% 0.21/0.42 % (2222)Time elapsed: 0.005 s
% 0.21/0.42 % (2222)Instructions burned: 7 (million)
% 0.21/0.42 % (2222)------------------------------
% 0.21/0.42 % (2222)------------------------------
% 0.21/0.42 % (2223)Instruction limit reached!
% 0.21/0.42 % (2223)------------------------------
% 0.21/0.42 % (2223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (2223)Termination reason: Unknown
% 0.21/0.42 % (2223)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (2223)Memory used [KB]: 895
% 0.21/0.42 % (2223)Time elapsed: 0.003 s
% 0.21/0.42 % (2223)Instructions burned: 3 (million)
% 0.21/0.42 % (2223)------------------------------
% 0.21/0.42 % (2223)------------------------------
% 0.21/0.43 % (2224)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (2224)Instruction limit reached!
% 0.21/0.43 % (2224)------------------------------
% 0.21/0.43 % (2224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (2224)Termination reason: Unknown
% 0.21/0.43 % (2224)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (2224)Memory used [KB]: 5500
% 0.21/0.43 % (2224)Time elapsed: 0.004 s
% 0.21/0.43 % (2224)Instructions burned: 4 (million)
% 0.21/0.43 % (2224)------------------------------
% 0.21/0.43 % (2224)------------------------------
% 0.21/0.43 % (2225)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.43 % (2226)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (2227)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (2227)Instruction limit reached!
% 0.21/0.44 % (2227)------------------------------
% 0.21/0.44 % (2227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (2227)Termination reason: Unknown
% 0.21/0.44 % (2227)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (2225)Refutation not found, incomplete strategy
% 0.21/0.44 % (2225)------------------------------
% 0.21/0.44 % (2225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (2225)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (2225)Memory used [KB]: 5500
% 0.21/0.44 % (2225)Time elapsed: 0.008 s
% 0.21/0.44 % (2225)Instructions burned: 8 (million)
% 0.21/0.44 % (2225)------------------------------
% 0.21/0.44 % (2225)------------------------------
% 0.21/0.44 % (2227)Memory used [KB]: 5500
% 0.21/0.44 % (2227)Time elapsed: 0.005 s
% 0.21/0.44 % (2227)Instructions burned: 7 (million)
% 0.21/0.44 % (2227)------------------------------
% 0.21/0.44 % (2227)------------------------------
% 0.21/0.44 % (2228)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.44 % (2229)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)
% 0.21/0.45 % (2230)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (2231)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)
% 0.21/0.45 % (2230)Instruction limit reached!
% 0.21/0.45 % (2230)------------------------------
% 0.21/0.45 % (2230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (2230)Termination reason: Unknown
% 0.21/0.45 % (2230)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (2230)Memory used [KB]: 5500
% 0.21/0.46 % (2230)Time elapsed: 0.004 s
% 0.21/0.46 % (2230)Instructions burned: 5 (million)
% 0.21/0.46 % (2230)------------------------------
% 0.21/0.46 % (2230)------------------------------
% 0.21/0.46 % (2231)Instruction limit reached!
% 0.21/0.46 % (2231)------------------------------
% 0.21/0.46 % (2231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (2231)Termination reason: Unknown
% 0.21/0.46 % (2231)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (2231)Memory used [KB]: 5500
% 0.21/0.46 % (2231)Time elapsed: 0.005 s
% 0.21/0.46 % (2231)Instructions burned: 6 (million)
% 0.21/0.46 % (2231)------------------------------
% 0.21/0.46 % (2231)------------------------------
% 0.21/0.46 % (2229)Instruction limit reached!
% 0.21/0.46 % (2229)------------------------------
% 0.21/0.46 % (2229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (2229)Termination reason: Unknown
% 0.21/0.46 % (2229)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (2229)Memory used [KB]: 5628
% 0.21/0.46 % (2229)Time elapsed: 0.016 s
% 0.21/0.46 % (2229)Instructions burned: 21 (million)
% 0.21/0.46 % (2229)------------------------------
% 0.21/0.46 % (2229)------------------------------
% 0.21/0.46 % (2232)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.47 % (2233)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 (2998ds/779Mi)
% 0.21/0.47 % (2234)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 (2998ds/19Mi)
% 0.21/0.47 % (2206)Instruction limit reached!
% 0.21/0.47 % (2206)------------------------------
% 0.21/0.47 % (2206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (2206)Termination reason: Unknown
% 0.21/0.47 % (2206)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (2206)Memory used [KB]: 6780
% 0.21/0.47 % (2206)Time elapsed: 0.104 s
% 0.21/0.47 % (2206)Instructions burned: 183 (million)
% 0.21/0.47 % (2206)------------------------------
% 0.21/0.47 % (2206)------------------------------
% 0.21/0.48 % (2234)Instruction limit reached!
% 0.21/0.48 % (2234)------------------------------
% 0.21/0.48 % (2234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (2234)Termination reason: Unknown
% 0.21/0.48 % (2234)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (2234)Memory used [KB]: 5628
% 0.21/0.48 % (2234)Time elapsed: 0.007 s
% 0.21/0.48 % (2234)Instructions burned: 21 (million)
% 0.21/0.48 % (2234)------------------------------
% 0.21/0.48 % (2234)------------------------------
% 0.21/0.48 % (2235)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.49 % (2236)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.49 % (2236)Instruction limit reached!
% 0.21/0.49 % (2236)------------------------------
% 0.21/0.49 % (2236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (2236)Termination reason: Unknown
% 0.21/0.49 % (2236)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (2236)Memory used [KB]: 5628
% 0.21/0.49 % (2236)Time elapsed: 0.007 s
% 0.21/0.49 % (2236)Instructions burned: 18 (million)
% 0.21/0.49 % (2236)------------------------------
% 0.21/0.49 % (2236)------------------------------
% 0.21/0.50 % (2237)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.50 % (2237)Instruction limit reached!
% 0.21/0.50 % (2237)------------------------------
% 0.21/0.50 % (2237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (2237)Termination reason: Unknown
% 0.21/0.50 % (2237)Termination phase: Preprocessing 3
% 0.21/0.50
% 0.21/0.50 % (2237)Memory used [KB]: 1023
% 0.21/0.50 % (2237)Time elapsed: 0.002 s
% 0.21/0.50 % (2237)Instructions burned: 3 (million)
% 0.21/0.50 % (2237)------------------------------
% 0.21/0.50 % (2237)------------------------------
% 0.21/0.50 % (2211)Instruction limit reached!
% 0.21/0.50 % (2211)------------------------------
% 0.21/0.50 % (2211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (2211)Termination reason: Unknown
% 0.21/0.50 % (2211)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2211)Memory used [KB]: 6012
% 0.21/0.50 % (2211)Time elapsed: 0.133 s
% 0.21/0.50 % (2211)Instructions burned: 275 (million)
% 0.21/0.50 % (2211)------------------------------
% 0.21/0.50 % (2211)------------------------------
% 0.21/0.51 % (2238)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.51 % (2239)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 (2998ds/127Mi)
% 0.21/0.52 % (2238)Instruction limit reached!
% 0.21/0.52 % (2238)------------------------------
% 0.21/0.52 % (2238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (2238)Termination reason: Unknown
% 0.21/0.52 % (2238)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (2238)Memory used [KB]: 5756
% 0.21/0.52 % (2238)Time elapsed: 0.011 s
% 0.21/0.52 % (2238)Instructions burned: 32 (million)
% 0.21/0.52 % (2238)------------------------------
% 0.21/0.52 % (2238)------------------------------
% 1.40/0.53 % (2240)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 (2998ds/100Mi)
% 1.40/0.53 % (2240)Refutation not found, incomplete strategy
% 1.40/0.53 % (2240)------------------------------
% 1.40/0.53 % (2240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.53 % (2240)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53
% 1.40/0.53 % (2240)Memory used [KB]: 5500
% 1.40/0.53 % (2240)Time elapsed: 0.004 s
% 1.40/0.53 % (2240)Instructions burned: 8 (million)
% 1.40/0.53 % (2240)------------------------------
% 1.40/0.53 % (2240)------------------------------
% 1.40/0.54 % (2241)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)
% 1.40/0.54 % (2241)Instruction limit reached!
% 1.40/0.54 % (2241)------------------------------
% 1.40/0.54 % (2241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.54 % (2241)Termination reason: Unknown
% 1.40/0.54 % (2241)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (2241)Memory used [KB]: 895
% 1.40/0.54 % (2241)Time elapsed: 0.002 s
% 1.40/0.54 % (2241)Instructions burned: 3 (million)
% 1.40/0.54 % (2241)------------------------------
% 1.40/0.54 % (2241)------------------------------
% 1.58/0.55 % (2242)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)
% 1.58/0.55 % (2242)Instruction limit reached!
% 1.58/0.55 % (2242)------------------------------
% 1.58/0.55 % (2242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.55 % (2242)Termination reason: Unknown
% 1.58/0.55 % (2242)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (2242)Memory used [KB]: 5628
% 1.58/0.55 % (2242)Time elapsed: 0.008 s
% 1.58/0.55 % (2242)Instructions burned: 22 (million)
% 1.58/0.55 % (2242)------------------------------
% 1.58/0.55 % (2242)------------------------------
% 1.58/0.55 % (2239)Instruction limit reached!
% 1.58/0.55 % (2239)------------------------------
% 1.58/0.55 % (2239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.55 % (2239)Termination reason: Unknown
% 1.58/0.55 % (2239)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (2239)Memory used [KB]: 5884
% 1.58/0.55 % (2239)Time elapsed: 0.042 s
% 1.58/0.55 % (2239)Instructions burned: 130 (million)
% 1.58/0.55 % (2239)------------------------------
% 1.58/0.55 % (2239)------------------------------
% 1.58/0.56 % (2243)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.58/0.56 % (2244)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.58/0.56 % (2244)Refutation not found, incomplete strategy
% 1.58/0.56 % (2244)------------------------------
% 1.58/0.56 % (2244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.56 % (2244)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56
% 1.58/0.56
% 1.58/0.56 % (2244)Memory used [KB]: 5500
% 1.58/0.56 % (2244)Time elapsed: 0.003 s
% 1.58/0.56 % (2244)Instructions burned: 6 (million)
% 1.58/0.56 % (2244)------------------------------
% 1.58/0.56 % (2244)------------------------------
% 1.58/0.57 % (2245)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.58/0.58 % (2243)Instruction limit reached!
% 1.58/0.58 % (2243)------------------------------
% 1.58/0.58 % (2243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.58 % (2243)Termination reason: Unknown
% 1.58/0.58 % (2243)Termination phase: Saturation
% 1.58/0.58
% 1.58/0.58 % (2243)Memory used [KB]: 5884
% 1.58/0.58 % (2243)Time elapsed: 0.026 s
% 1.58/0.58 % (2243)Instructions burned: 86 (million)
% 1.58/0.58 % (2243)------------------------------
% 1.58/0.58 % (2243)------------------------------
% 1.58/0.59 % (2245)Instruction limit reached!
% 1.58/0.59 % (2245)------------------------------
% 1.58/0.59 % (2245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.59 % (2245)Termination reason: Unknown
% 1.58/0.59 % (2245)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (2245)Memory used [KB]: 5756
% 1.58/0.59 % (2245)Time elapsed: 0.014 s
% 1.58/0.59 % (2245)Instructions burned: 41 (million)
% 1.58/0.59 % (2245)------------------------------
% 1.58/0.59 % (2245)------------------------------
% 1.58/0.59 % (2235)First to succeed.
% 1.58/0.59 % (2246)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.58/0.60 % (2235)Refutation found. Thanks to Tanya!
% 1.58/0.60 % SZS status Theorem for theBenchmark
% 1.58/0.60 % SZS output start Proof for theBenchmark
% 1.58/0.60 thf(func_def_3, type, sP0: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $o).
% 1.58/0.60 thf(func_def_4, type, sK1: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_5, type, sK2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_6, type, sK3: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_7, type, sK4: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.58/0.60 thf(func_def_8, type, sK5: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_9, type, sK6: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.58/0.60 thf(func_def_10, type, sK7: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_11, type, sK8: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.58/0.60 thf(func_def_12, type, sK9: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.58/0.60 thf(func_def_15, type, ph11: !>[X0: $tType]:(X0)).
% 1.58/0.60 thf(f1055,plain,(
% 1.58/0.60 $false),
% 1.58/0.60 inference(avatar_sat_refutation,[],[f186,f662,f1051])).
% 1.58/0.60 thf(f1051,plain,(
% 1.58/0.60 ~spl10_2),
% 1.58/0.60 inference(avatar_contradiction_clause,[],[f1050])).
% 1.58/0.60 thf(f1050,plain,(
% 1.58/0.60 $false | ~spl10_2),
% 1.58/0.60 inference(subsumption_resolution,[],[f1049,f739])).
% 1.58/0.60 thf(f739,plain,(
% 1.58/0.60 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_2),
% 1.58/0.60 inference(subsumption_resolution,[],[f737,f185])).
% 1.58/0.60 thf(f185,plain,(
% 1.58/0.60 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_2),
% 1.58/0.60 inference(avatar_component_clause,[],[f183])).
% 1.58/0.60 thf(f183,plain,(
% 1.58/0.60 spl10_2 <=> ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))),
% 1.58/0.60 introduced(avatar_definition,[new_symbols(naming,[spl10_2])])).
% 1.58/0.60 thf(f737,plain,(
% 1.58/0.60 ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_2),
% 1.58/0.60 inference(equality_proxy_clausification,[],[f736])).
% 1.58/0.60 thf(f736,plain,(
% 1.58/0.60 ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true != ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_2),
% 1.58/0.60 inference(beta_eta_normalization,[],[f732])).
% 1.58/0.60 thf(f732,plain,(
% 1.58/0.60 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_2),
% 1.58/0.60 inference(superposition,[],[f22,f667])).
% 1.58/0.60 thf(f667,plain,(
% 1.58/0.60 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_2),
% 1.58/0.60 inference(equality_proxy_clausification,[],[f666])).
% 1.58/0.60 thf(f666,plain,(
% 1.58/0.60 ($true = ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_2),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f665])).
% 1.58/0.60 thf(f665,plain,(
% 1.58/0.60 ($true = $false) | ($true = ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_2),
% 1.58/0.60 inference(beta_eta_normalization,[],[f664])).
% 1.58/0.60 thf(f664,plain,(
% 1.58/0.60 ( ! [X0 : $i] : (($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0)) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0))) ) | ~spl10_2),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f663])).
% 1.58/0.60 thf(f663,plain,(
% 1.58/0.60 ( ! [X0 : $i] : (($true != $true) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0)) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0))) ) | ~spl10_2),
% 1.58/0.60 inference(superposition,[],[f20,f185])).
% 1.58/0.60 thf(f20,plain,(
% 1.58/0.60 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (((sP0 @ X1 @ X0) != $true) | ((X0 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0) @ X7) = $true) | ($true = (X1 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0) @ X7))) )),
% 1.58/0.60 inference(cnf_transformation,[],[f14])).
% 1.58/0.60 thf(f14,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((((X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true) & ((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true)) & ! [X6] : (($true = (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ($true = (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6))) & ! [X7] : (($true = (X1 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0) @ X7)) | ((X0 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0) @ X7) = $true))) | ((sP0 @ X1 @ X0) != $true))),
% 1.58/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f11,f13,f12])).
% 1.58/0.60 thf(f12,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (? [X5] : (((X0 @ X4 @ X2 @ X5) != $true) & ((X1 @ X4 @ X2 @ X5) != $true)) & ! [X6] : (((X0 @ X3 @ X2 @ X6) = $true) | ((X1 @ X3 @ X2 @ X6) = $true)) & ! [X7] : (($true = (X1 @ X4 @ X3 @ X7)) | ((X0 @ X4 @ X3 @ X7) = $true))) => (? [X5] : (($true != (X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5)) & ((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) != $true)) & ! [X6] : (($true = (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ($true = (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6))) & ! [X7] : (($true = (X1 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0) @ X7)) | ((X0 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0) @ X7) = $true))))),
% 1.58/0.60 introduced(choice_axiom,[])).
% 1.58/0.60 thf(f13,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X5] : (($true != (X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5)) & ((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) != $true)) => (((X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true) & ((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true)))),
% 1.58/0.60 introduced(choice_axiom,[])).
% 1.58/0.60 thf(f11,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (? [X5] : (((X0 @ X4 @ X2 @ X5) != $true) & ((X1 @ X4 @ X2 @ X5) != $true)) & ! [X6] : (((X0 @ X3 @ X2 @ X6) = $true) | ((X1 @ X3 @ X2 @ X6) = $true)) & ! [X7] : (($true = (X1 @ X4 @ X3 @ X7)) | ((X0 @ X4 @ X3 @ X7) = $true))) | ((sP0 @ X1 @ X0) != $true))),
% 1.58/0.60 inference(rectify,[],[f10])).
% 1.58/0.60 thf(f10,plain,(
% 1.58/0.60 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X4 : $i > $o,X3 : $i > $o] : (? [X7] : (($true != (X1 @ X3 @ X2 @ X7)) & ($true != (X0 @ X3 @ X2 @ X7))) & ! [X6] : (($true = (X1 @ X4 @ X2 @ X6)) | ((X0 @ X4 @ X2 @ X6) = $true)) & ! [X5] : (($true = (X0 @ X3 @ X4 @ X5)) | ($true = (X1 @ X3 @ X4 @ X5)))) | ((sP0 @ X0 @ X1) != $true))),
% 1.58/0.60 inference(nnf_transformation,[],[f8])).
% 1.58/0.60 thf(f8,plain,(
% 1.58/0.60 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X4 : $i > $o,X3 : $i > $o] : (? [X7] : (($true != (X1 @ X3 @ X2 @ X7)) & ($true != (X0 @ X3 @ X2 @ X7))) & ! [X6] : (($true = (X1 @ X4 @ X2 @ X6)) | ((X0 @ X4 @ X2 @ X6) = $true)) & ! [X5] : (($true = (X0 @ X3 @ X4 @ X5)) | ($true = (X1 @ X3 @ X4 @ X5)))) | ~((sP0 @ X0 @ X1) = $true))),
% 1.58/0.60 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 1.58/0.60 thf(f22,plain,(
% 1.58/0.60 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 1.58/0.60 inference(cnf_transformation,[],[f14])).
% 1.58/0.60 thf(f1049,plain,(
% 1.58/0.60 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_2),
% 1.58/0.60 inference(equality_proxy_clausification,[],[f1048])).
% 1.58/0.60 thf(f1048,plain,(
% 1.58/0.60 ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_2),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f1047])).
% 1.58/0.60 thf(f1047,plain,(
% 1.58/0.60 ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ($true = $false) | ~spl10_2),
% 1.58/0.60 inference(beta_eta_normalization,[],[f1046])).
% 1.58/0.60 thf(f1046,plain,(
% 1.58/0.60 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0))) ) | ~spl10_2),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f1036])).
% 1.58/0.60 thf(f1036,plain,(
% 1.58/0.60 ( ! [X0 : $i] : (($true != $true) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0)) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true)) ) | ~spl10_2),
% 1.58/0.60 inference(superposition,[],[f21,f185])).
% 1.58/0.60 thf(f21,plain,(
% 1.58/0.60 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X6 : $i] : (((sP0 @ X1 @ X0) != $true) | ($true = (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ($true = (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6))) )),
% 1.58/0.60 inference(cnf_transformation,[],[f14])).
% 1.58/0.60 thf(f662,plain,(
% 1.58/0.60 spl10_2 | ~spl10_1),
% 1.58/0.60 inference(avatar_split_clause,[],[f661,f179,f183])).
% 1.58/0.60 thf(f179,plain,(
% 1.58/0.60 spl10_1 <=> ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))),
% 1.58/0.60 introduced(avatar_definition,[new_symbols(naming,[spl10_1])])).
% 1.58/0.60 thf(f661,plain,(
% 1.58/0.60 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_1),
% 1.58/0.60 inference(subsumption_resolution,[],[f602,f54])).
% 1.58/0.60 thf(f54,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (($true != (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f53])).
% 1.58/0.60 thf(f53,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (($true != (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true) | ($true != $true)) )),
% 1.58/0.60 inference(boolean_simplification,[],[f52])).
% 1.58/0.60 thf(f52,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : ((((sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) != $true) | ($true != (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(beta_eta_normalization,[],[f46])).
% 1.58/0.60 thf(f46,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (($true != (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK6 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(primitive_instantiation,[],[f26])).
% 1.58/0.60 thf(f26,plain,(
% 1.58/0.60 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0))) | ((sP0 @ X0 @ X1) = $true) | ($true != (sK8 @ X1 @ X0 @ (sK9 @ X1 @ X0)))) )),
% 1.58/0.60 inference(cnf_transformation,[],[f19])).
% 1.58/0.60 thf(f19,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sP0 @ X0 @ X1) = $true) | (((X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0)) != $true) & ($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0)))) | ((($true != (sK8 @ X1 @ X0 @ (sK9 @ X1 @ X0))) & ($true = (sK7 @ X1 @ X0 @ (sK9 @ X1 @ X0)))) & ! [X7] : (($true = (X0 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0) @ X7)) | ($true = (X1 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0) @ X7)))))),
% 1.58/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f15,f18,f17,f16])).
% 1.58/0.60 thf(f16,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3] : (($true != (X1 @ X2 @ X2 @ X3)) & ($true != (X0 @ X2 @ X2 @ X3))) => (((X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0)) != $true) & ($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0)))))),
% 1.58/0.60 introduced(choice_axiom,[])).
% 1.58/0.60 thf(f17,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X4 : $i > $o,X5 : $i > $o] : (? [X6] : (($true != (X5 @ X6)) & ($true = (X4 @ X6))) & ! [X7] : (($true = (X0 @ X4 @ X5 @ X7)) | ($true = (X1 @ X4 @ X5 @ X7)))) => (? [X6] : (((sK8 @ X1 @ X0 @ X6) != $true) & ($true = (sK7 @ X1 @ X0 @ X6))) & ! [X7] : (($true = (X0 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0) @ X7)) | ($true = (X1 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0) @ X7)))))),
% 1.58/0.60 introduced(choice_axiom,[])).
% 1.58/0.60 thf(f18,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X6] : (((sK8 @ X1 @ X0 @ X6) != $true) & ($true = (sK7 @ X1 @ X0 @ X6))) => (($true != (sK8 @ X1 @ X0 @ (sK9 @ X1 @ X0))) & ($true = (sK7 @ X1 @ X0 @ (sK9 @ X1 @ X0)))))),
% 1.58/0.60 introduced(choice_axiom,[])).
% 1.58/0.60 thf(f15,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sP0 @ X0 @ X1) = $true) | ? [X2 : $i > $o,X3] : (($true != (X1 @ X2 @ X2 @ X3)) & ($true != (X0 @ X2 @ X2 @ X3))) | ? [X4 : $i > $o,X5 : $i > $o] : (? [X6] : (($true != (X5 @ X6)) & ($true = (X4 @ X6))) & ! [X7] : (($true = (X0 @ X4 @ X5 @ X7)) | ($true = (X1 @ X4 @ X5 @ X7)))))),
% 1.58/0.60 inference(rectify,[],[f9])).
% 1.58/0.60 thf(f9,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sP0 @ X0 @ X1) = $true) | ? [X9 : $i > $o,X8] : (($true != (X1 @ X9 @ X9 @ X8)) & ((X0 @ X9 @ X9 @ X8) != $true)) | ? [X10 : $i > $o,X11 : $i > $o] : (? [X13] : (($true != (X11 @ X13)) & ($true = (X10 @ X13))) & ! [X12] : (($true = (X0 @ X10 @ X11 @ X12)) | ((X1 @ X10 @ X11 @ X12) = $true))))),
% 1.58/0.60 inference(definition_folding,[],[f7,f8])).
% 1.58/0.60 thf(f7,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X4 : $i > $o,X3 : $i > $o] : (? [X7] : (($true != (X1 @ X3 @ X2 @ X7)) & ($true != (X0 @ X3 @ X2 @ X7))) & ! [X6] : (($true = (X1 @ X4 @ X2 @ X6)) | ((X0 @ X4 @ X2 @ X6) = $true)) & ! [X5] : (($true = (X0 @ X3 @ X4 @ X5)) | ($true = (X1 @ X3 @ X4 @ X5)))) | ? [X9 : $i > $o,X8] : (($true != (X1 @ X9 @ X9 @ X8)) & ((X0 @ X9 @ X9 @ X8) != $true)) | ? [X10 : $i > $o,X11 : $i > $o] : (? [X13] : (($true != (X11 @ X13)) & ($true = (X10 @ X13))) & ! [X12] : (($true = (X0 @ X10 @ X11 @ X12)) | ((X1 @ X10 @ X11 @ X12) = $true))))),
% 1.58/0.60 inference(flattening,[],[f6])).
% 1.58/0.60 thf(f6,plain,(
% 1.58/0.60 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X10 : $i > $o,X11 : $i > $o] : (? [X13] : (($true != (X11 @ X13)) & ($true = (X10 @ X13))) & ! [X12] : (($true = (X0 @ X10 @ X11 @ X12)) | ((X1 @ X10 @ X11 @ X12) = $true))) | ? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (? [X7] : (($true != (X1 @ X3 @ X2 @ X7)) & ($true != (X0 @ X3 @ X2 @ X7))) & (! [X5] : (($true = (X0 @ X3 @ X4 @ X5)) | ($true = (X1 @ X3 @ X4 @ X5))) & ! [X6] : (($true = (X1 @ X4 @ X2 @ X6)) | ((X0 @ X4 @ X2 @ X6) = $true)))) | ? [X9 : $i > $o,X8] : (($true != (X1 @ X9 @ X9 @ X8)) & ((X0 @ X9 @ X9 @ X8) != $true)))),
% 1.58/0.60 inference(ennf_transformation,[],[f5])).
% 1.58/0.60 thf(f5,plain,(
% 1.58/0.60 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X11 : $i > $o,X10 : $i > $o] : (! [X12] : (($true = (X0 @ X10 @ X11 @ X12)) | ((X1 @ X10 @ X11 @ X12) = $true)) => ! [X13] : (($true = (X10 @ X13)) => ($true = (X11 @ X13)))) & ! [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : ((! [X5] : (($true = (X0 @ X3 @ X4 @ X5)) | ($true = (X1 @ X3 @ X4 @ X5))) & ! [X6] : (($true = (X1 @ X4 @ X2 @ X6)) | ((X0 @ X4 @ X2 @ X6) = $true))) => ! [X7] : (($true = (X0 @ X3 @ X2 @ X7)) | ($true = (X1 @ X3 @ X2 @ X7)))) & ! [X8,X9 : $i > $o] : (($true = (X1 @ X9 @ X9 @ X8)) | ((X0 @ X9 @ X9 @ X8) = $true)))),
% 1.58/0.60 inference(fool_elimination,[],[f4])).
% 1.58/0.60 thf(f4,plain,(
% 1.58/0.60 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : ((! [X5] : ((X0 @ X3 @ X4 @ X5) | (X1 @ X3 @ X4 @ X5)) & ! [X6] : ((X1 @ X4 @ X2 @ X6) | (X0 @ X4 @ X2 @ X6))) => ! [X7] : ((X0 @ X3 @ X2 @ X7) | (X1 @ X3 @ X2 @ X7))) & ! [X8,X9 : $i > $o] : ((X1 @ X9 @ X9 @ X8) | (X0 @ X9 @ X9 @ X8)) & ! [X10 : $i > $o,X11 : $i > $o] : (! [X12] : ((X0 @ X10 @ X11 @ X12) | (X1 @ X10 @ X11 @ X12)) => ! [X13] : ((X10 @ X13) => (X11 @ X13))))),
% 1.58/0.60 inference(rectify,[],[f2])).
% 1.58/0.60 thf(f2,negated_conjecture,(
% 1.58/0.60 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X5 : $i > $o,X6 : $i > $o,X7 : $i > $o] : ((! [X4] : ((X0 @ X6 @ X7 @ X4) | (X1 @ X6 @ X7 @ X4)) & ! [X4] : ((X1 @ X7 @ X5 @ X4) | (X0 @ X7 @ X5 @ X4))) => ! [X4] : ((X0 @ X6 @ X5 @ X4) | (X1 @ X6 @ X5 @ X4))) & ! [X4,X6 : $i > $o] : ((X1 @ X6 @ X6 @ X4) | (X0 @ X6 @ X6 @ X4)) & ! [X2 : $i > $o,X3 : $i > $o] : (! [X4] : ((X0 @ X2 @ X3 @ X4) | (X1 @ X2 @ X3 @ X4)) => ! [X5] : ((X2 @ X5) => (X3 @ X5))))),
% 1.58/0.60 inference(negated_conjecture,[],[f1])).
% 1.58/0.60 thf(f1,conjecture,(
% 1.58/0.60 ? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X5 : $i > $o,X6 : $i > $o,X7 : $i > $o] : ((! [X4] : ((X0 @ X6 @ X7 @ X4) | (X1 @ X6 @ X7 @ X4)) & ! [X4] : ((X1 @ X7 @ X5 @ X4) | (X0 @ X7 @ X5 @ X4))) => ! [X4] : ((X0 @ X6 @ X5 @ X4) | (X1 @ X6 @ X5 @ X4))) & ! [X4,X6 : $i > $o] : ((X1 @ X6 @ X6 @ X4) | (X0 @ X6 @ X6 @ X4)) & ! [X2 : $i > $o,X3 : $i > $o] : (! [X4] : ((X0 @ X2 @ X3 @ X4) | (X1 @ X2 @ X3 @ X4)) => ! [X5] : ((X2 @ X5) => (X3 @ X5))))),
% 1.58/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM122C_pme)).
% 1.58/0.60 thf(f602,plain,(
% 1.58/0.60 ($true = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_1),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f600])).
% 1.58/0.60 thf(f600,plain,(
% 1.58/0.60 ($true = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true = $false) | ~spl10_1),
% 1.58/0.60 inference(superposition,[],[f488,f45])).
% 1.58/0.60 thf(f45,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) = $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f44])).
% 1.58/0.60 thf(f44,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true) | ((sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) = $true) | ($true != $true)) )),
% 1.58/0.60 inference(boolean_simplification,[],[f43])).
% 1.58/0.60 thf(f43,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) = $true) | (((sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(beta_eta_normalization,[],[f30])).
% 1.58/0.60 thf(f30,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o] : (((sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK6 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(primitive_instantiation,[],[f25])).
% 1.58/0.60 thf(f25,plain,(
% 1.58/0.60 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0))) | ((sP0 @ X0 @ X1) = $true) | ($true = (sK7 @ X1 @ X0 @ (sK9 @ X1 @ X0)))) )),
% 1.58/0.60 inference(cnf_transformation,[],[f19])).
% 1.58/0.60 thf(f488,plain,(
% 1.58/0.60 ( ! [X1 : $i] : (($false = (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1)) | ((sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) ) | ~spl10_1),
% 1.58/0.60 inference(binary_proxy_clausification,[],[f486])).
% 1.58/0.60 thf(f486,plain,(
% 1.58/0.60 ( ! [X1 : $i] : (((sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1))) ) | ~spl10_1),
% 1.58/0.60 inference(argument_congruence,[],[f181])).
% 1.58/0.60 thf(f181,plain,(
% 1.58/0.60 ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) | ~spl10_1),
% 1.58/0.60 inference(avatar_component_clause,[],[f179])).
% 1.58/0.60 thf(f186,plain,(
% 1.58/0.60 spl10_1 | spl10_2),
% 1.58/0.60 inference(avatar_split_clause,[],[f176,f183,f179])).
% 1.58/0.60 thf(f176,plain,(
% 1.58/0.60 ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f175])).
% 1.58/0.60 thf(f175,plain,(
% 1.58/0.60 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true = $false) | ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))),
% 1.58/0.60 inference(beta_eta_normalization,[],[f165])).
% 1.58/0.60 thf(f165,plain,(
% 1.58/0.60 ( ! [X7 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7) = $true) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) )),
% 1.58/0.60 inference(primitive_instantiation,[],[f109])).
% 1.58/0.60 thf(f109,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (((X1 @ (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7) = $true) | ((sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true)) )),
% 1.58/0.60 inference(equality_proxy_clausification,[],[f108])).
% 1.58/0.60 thf(f108,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true) | ($true = ((sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ((X1 @ (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7) = $true)) )),
% 1.58/0.60 inference(trivial_inequality_removal,[],[f107])).
% 1.58/0.60 thf(f107,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (((X1 @ (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7) = $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true) | ($true = ((sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | ($true != $true)) )),
% 1.58/0.60 inference(boolean_simplification,[],[f106])).
% 1.58/0.60 thf(f106,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true) | ((X1 @ (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7) = $true) | ($true = ((sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))))) | (((sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) = (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) != $true)) )),
% 1.58/0.60 inference(beta_eta_normalization,[],[f94])).
% 1.58/0.60 thf(f94,plain,(
% 1.58/0.60 ( ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK5 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK6 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))))) != $true) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7)) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X1) = $true) | ((X1 @ (sK7 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ (sK8 @ X1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0))))))) @ X7) = $true)) )),
% 1.58/0.60 inference(primitive_instantiation,[],[f24])).
% 1.58/0.60 thf(f24,plain,(
% 1.58/0.60 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK6 @ X1 @ X0))) | ($true = (X0 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0) @ X7)) | ((sP0 @ X0 @ X1) = $true) | ($true = (X1 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0) @ X7))) )),
% 1.58/0.60 inference(cnf_transformation,[],[f19])).
% 1.58/0.60 % SZS output end Proof for theBenchmark
% 1.58/0.60 % (2235)------------------------------
% 1.58/0.60 % (2235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.58/0.60 % (2235)Termination reason: Refutation
% 1.58/0.60
% 1.58/0.60 % (2235)Memory used [KB]: 6396
% 1.58/0.60 % (2235)Time elapsed: 0.101 s
% 1.58/0.60 % (2235)Instructions burned: 295 (million)
% 1.58/0.60 % (2235)------------------------------
% 1.58/0.60 % (2235)------------------------------
% 1.58/0.60 % (2205)Success in time 0.237 s
% 1.58/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------