TSTP Solution File: SYO174^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO174^5 : 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 : n017.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 09:03:20 EDT 2024
% Result : Theorem 0.23s 0.53s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO174^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:20:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % (15966)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.39 % (15964)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (15965)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.39 % (15968)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (15967)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (15969)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.39 % (15970)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (15967)Instruction limit reached!
% 0.14/0.39 % (15967)------------------------------
% 0.14/0.39 % (15967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (15967)Termination reason: Unknown
% 0.14/0.39 % (15967)Termination phase: Preprocessing 3
% 0.14/0.39 % (15968)Instruction limit reached!
% 0.14/0.39 % (15968)------------------------------
% 0.14/0.39 % (15968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (15968)Termination reason: Unknown
% 0.14/0.39 % (15968)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (15968)Memory used [KB]: 895
% 0.14/0.39 % (15968)Time elapsed: 0.004 s
% 0.14/0.39 % (15968)Instructions burned: 2 (million)
% 0.14/0.39 % (15968)------------------------------
% 0.14/0.39 % (15968)------------------------------
% 0.14/0.39
% 0.14/0.39 % (15967)Memory used [KB]: 1023
% 0.14/0.39 % (15967)Time elapsed: 0.004 s
% 0.14/0.40 % (15967)Instructions burned: 2 (million)
% 0.14/0.40 % (15967)------------------------------
% 0.14/0.40 % (15967)------------------------------
% 0.14/0.40 % (15971)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40 % (15965)Instruction limit reached!
% 0.14/0.40 % (15965)------------------------------
% 0.14/0.40 % (15965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15965)Termination reason: Unknown
% 0.14/0.40 % (15965)Termination phase: Preprocessing 3
% 0.14/0.40
% 0.14/0.40 % (15965)Memory used [KB]: 1023
% 0.14/0.40 % (15965)Time elapsed: 0.006 s
% 0.14/0.40 % (15965)Instructions burned: 4 (million)
% 0.14/0.40 % (15965)------------------------------
% 0.14/0.40 % (15965)------------------------------
% 0.14/0.40 % (15971)Instruction limit reached!
% 0.14/0.40 % (15971)------------------------------
% 0.14/0.40 % (15971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15971)Termination reason: Unknown
% 0.14/0.40 % (15971)Termination phase: Preprocessing 3
% 0.14/0.40
% 0.14/0.40 % (15971)Memory used [KB]: 1023
% 0.14/0.40 % (15971)Time elapsed: 0.005 s
% 0.14/0.40 % (15971)Instructions burned: 3 (million)
% 0.14/0.40 % (15971)------------------------------
% 0.14/0.40 % (15971)------------------------------
% 0.14/0.40 % (15969)Refutation not found, incomplete strategy
% 0.14/0.40 % (15969)------------------------------
% 0.14/0.40 % (15969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15969)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (15969)Memory used [KB]: 5628
% 0.14/0.40 % (15969)Time elapsed: 0.012 s
% 0.14/0.40 % (15969)Instructions burned: 9 (million)
% 0.14/0.40 % (15969)------------------------------
% 0.14/0.40 % (15969)------------------------------
% 0.14/0.41 % (15970)Instruction limit reached!
% 0.14/0.41 % (15970)------------------------------
% 0.14/0.41 % (15970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (15970)Termination reason: Unknown
% 0.14/0.41 % (15970)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (15970)Memory used [KB]: 5884
% 0.14/0.41 % (15970)Time elapsed: 0.020 s
% 0.14/0.41 % (15970)Instructions burned: 18 (million)
% 0.14/0.41 % (15970)------------------------------
% 0.14/0.41 % (15970)------------------------------
% 0.14/0.42 % (15966)Instruction limit reached!
% 0.14/0.42 % (15966)------------------------------
% 0.14/0.42 % (15966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (15966)Termination reason: Unknown
% 0.14/0.42 % (15966)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (15966)Memory used [KB]: 5756
% 0.14/0.42 % (15966)Time elapsed: 0.027 s
% 0.14/0.42 % (15966)Instructions burned: 27 (million)
% 0.14/0.42 % (15966)------------------------------
% 0.14/0.42 % (15966)------------------------------
% 0.14/0.42 % (15972)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.42 % (15973)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.42 % (15974)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42 % (15975)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.42 % (15974)Instruction limit reached!
% 0.14/0.42 % (15974)------------------------------
% 0.14/0.42 % (15974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (15974)Termination reason: Unknown
% 0.14/0.42 % (15974)Termination phase: Preprocessing 3
% 0.14/0.42
% 0.14/0.42 % (15974)Memory used [KB]: 1023
% 0.14/0.42 % (15974)Time elapsed: 0.005 s
% 0.14/0.42 % (15974)Instructions burned: 3 (million)
% 0.14/0.42 % (15974)------------------------------
% 0.14/0.42 % (15974)------------------------------
% 0.23/0.43 % (15976)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (15977)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.43 % (15976)Instruction limit reached!
% 0.23/0.43 % (15976)------------------------------
% 0.23/0.43 % (15976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (15976)Termination reason: Unknown
% 0.23/0.43 % (15976)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (15976)Memory used [KB]: 1151
% 0.23/0.44 % (15976)Time elapsed: 0.008 s
% 0.23/0.44 % (15976)Instructions burned: 8 (million)
% 0.23/0.44 % (15976)------------------------------
% 0.23/0.44 % (15976)------------------------------
% 0.23/0.44 % (15973)Instruction limit reached!
% 0.23/0.44 % (15973)------------------------------
% 0.23/0.44 % (15973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15973)Termination reason: Unknown
% 0.23/0.44 % (15973)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (15973)Memory used [KB]: 5756
% 0.23/0.44 % (15973)Time elapsed: 0.019 s
% 0.23/0.44 % (15973)Instructions burned: 15 (million)
% 0.23/0.44 % (15973)------------------------------
% 0.23/0.44 % (15973)------------------------------
% 0.23/0.44 % (15977)Instruction limit reached!
% 0.23/0.44 % (15977)------------------------------
% 0.23/0.44 % (15977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15977)Termination reason: Unknown
% 0.23/0.44 % (15977)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (15977)Memory used [KB]: 5884
% 0.23/0.44 % (15977)Time elapsed: 0.011 s
% 0.23/0.44 % (15977)Instructions burned: 16 (million)
% 0.23/0.44 % (15977)------------------------------
% 0.23/0.44 % (15977)------------------------------
% 0.23/0.44 % (15978)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)
% 0.23/0.45 % (15978)Instruction limit reached!
% 0.23/0.45 % (15978)------------------------------
% 0.23/0.45 % (15978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15978)Termination reason: Unknown
% 0.23/0.45 % (15978)Termination phase: Preprocessing 3
% 0.23/0.45
% 0.23/0.45 % (15978)Memory used [KB]: 1023
% 0.23/0.45 % (15978)Time elapsed: 0.005 s
% 0.23/0.45 % (15978)Instructions burned: 3 (million)
% 0.23/0.45 % (15978)------------------------------
% 0.23/0.45 % (15978)------------------------------
% 0.23/0.45 % (15979)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)
% 0.23/0.45 % (15979)Instruction limit reached!
% 0.23/0.45 % (15979)------------------------------
% 0.23/0.45 % (15979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15979)Termination reason: Unknown
% 0.23/0.45 % (15979)Termination phase: Preprocessing 3
% 0.23/0.45
% 0.23/0.45 % (15979)Memory used [KB]: 1023
% 0.23/0.45 % (15979)Time elapsed: 0.004 s
% 0.23/0.45 % (15979)Instructions burned: 3 (million)
% 0.23/0.45 % (15979)------------------------------
% 0.23/0.45 % (15979)------------------------------
% 0.23/0.45 % (15980)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)
% 0.23/0.46 % (15972)Instruction limit reached!
% 0.23/0.46 % (15972)------------------------------
% 0.23/0.46 % (15972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15972)Termination reason: Unknown
% 0.23/0.46 % (15972)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (15972)Memory used [KB]: 5628
% 0.23/0.46 % (15972)Time elapsed: 0.038 s
% 0.23/0.46 % (15972)Instructions burned: 37 (million)
% 0.23/0.46 % (15972)------------------------------
% 0.23/0.46 % (15972)------------------------------
% 0.23/0.46 % (15982)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.46 % (15980)Instruction limit reached!
% 0.23/0.46 % (15980)------------------------------
% 0.23/0.46 % (15980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15980)Termination reason: Unknown
% 0.23/0.46 % (15980)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (15980)Memory used [KB]: 5628
% 0.23/0.46 % (15980)Time elapsed: 0.006 s
% 0.23/0.46 % (15980)Instructions burned: 7 (million)
% 0.23/0.46 % (15980)------------------------------
% 0.23/0.46 % (15980)------------------------------
% 0.23/0.46 % (15982)Instruction limit reached!
% 0.23/0.46 % (15982)------------------------------
% 0.23/0.46 % (15982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15982)Termination reason: Unknown
% 0.23/0.46 % (15982)Termination phase: Preprocessing 3
% 0.23/0.46
% 0.23/0.46 % (15982)Memory used [KB]: 1023
% 0.23/0.46 % (15982)Time elapsed: 0.004 s
% 0.23/0.46 % (15982)Instructions burned: 4 (million)
% 0.23/0.46 % (15982)------------------------------
% 0.23/0.46 % (15982)------------------------------
% 0.23/0.46 % (15981)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)
% 0.23/0.46 % (15981)Instruction limit reached!
% 0.23/0.46 % (15981)------------------------------
% 0.23/0.46 % (15981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15981)Termination reason: Unknown
% 0.23/0.46 % (15981)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (15981)Memory used [KB]: 5500
% 0.23/0.46 % (15981)Time elapsed: 0.004 s
% 0.23/0.46 % (15981)Instructions burned: 4 (million)
% 0.23/0.46 % (15981)------------------------------
% 0.23/0.46 % (15981)------------------------------
% 0.23/0.46 % (15984)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.47 % (15983)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)
% 0.23/0.47 % (15985)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.47 % (15986)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)
% 0.23/0.47 % (15987)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)
% 0.23/0.47 % (15985)Instruction limit reached!
% 0.23/0.47 % (15985)------------------------------
% 0.23/0.47 % (15985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (15985)Termination reason: Unknown
% 0.23/0.47 % (15985)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (15985)Memory used [KB]: 5628
% 0.23/0.47 % (15985)Time elapsed: 0.005 s
% 0.23/0.48 % (15985)Instructions burned: 7 (million)
% 0.23/0.48 % (15985)------------------------------
% 0.23/0.48 % (15985)------------------------------
% 0.23/0.48 % (15986)Refutation not found, incomplete strategy
% 0.23/0.48 % (15986)------------------------------
% 0.23/0.48 % (15986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15986)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.48
% 0.23/0.48
% 0.23/0.48 % (15986)Memory used [KB]: 5628
% 0.23/0.48 % (15986)Time elapsed: 0.007 s
% 0.23/0.48 % (15986)Instructions burned: 7 (million)
% 0.23/0.48 % (15986)------------------------------
% 0.23/0.48 % (15986)------------------------------
% 0.23/0.48 % (15983)Instruction limit reached!
% 0.23/0.48 % (15983)------------------------------
% 0.23/0.48 % (15983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15983)Termination reason: Unknown
% 0.23/0.48 % (15983)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (15983)Memory used [KB]: 5884
% 0.23/0.48 % (15983)Time elapsed: 0.012 s
% 0.23/0.48 % (15983)Instructions burned: 18 (million)
% 0.23/0.48 % (15983)------------------------------
% 0.23/0.48 % (15983)------------------------------
% 0.23/0.48 % (15988)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.48 % (15988)Instruction limit reached!
% 0.23/0.48 % (15988)------------------------------
% 0.23/0.48 % (15988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15988)Termination reason: Unknown
% 0.23/0.48 % (15988)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (15988)Memory used [KB]: 5500
% 0.23/0.48 % (15988)Time elapsed: 0.005 s
% 0.23/0.48 % (15988)Instructions burned: 5 (million)
% 0.23/0.48 % (15988)------------------------------
% 0.23/0.48 % (15988)------------------------------
% 0.23/0.49 % (15987)Instruction limit reached!
% 0.23/0.49 % (15987)------------------------------
% 0.23/0.49 % (15987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (15987)Termination reason: Unknown
% 0.23/0.49 % (15987)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (15987)Memory used [KB]: 6140
% 0.23/0.49 % (15987)Time elapsed: 0.015 s
% 0.23/0.49 % (15987)Instructions burned: 22 (million)
% 0.23/0.49 % (15987)------------------------------
% 0.23/0.49 % (15987)------------------------------
% 0.23/0.49 % (15989)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)
% 0.23/0.49 % (15990)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.49 % (15991)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)
% 0.23/0.49 % (15989)Instruction limit reached!
% 0.23/0.49 % (15989)------------------------------
% 0.23/0.49 % (15989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (15989)Termination reason: Unknown
% 0.23/0.49 % (15989)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (15989)Memory used [KB]: 5500
% 0.23/0.49 % (15989)Time elapsed: 0.005 s
% 0.23/0.49 % (15989)Instructions burned: 7 (million)
% 0.23/0.49 % (15989)------------------------------
% 0.23/0.49 % (15989)------------------------------
% 0.23/0.50 % (15992)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)
% 0.23/0.50 % (15993)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)
% 0.23/0.51 % (15992)Instruction limit reached!
% 0.23/0.51 % (15992)------------------------------
% 0.23/0.51 % (15992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (15992)Termination reason: Unknown
% 0.23/0.51 % (15992)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (15992)Memory used [KB]: 5500
% 0.23/0.51 % (15992)Time elapsed: 0.013 s
% 0.23/0.51 % (15992)Instructions burned: 20 (million)
% 0.23/0.51 % (15992)------------------------------
% 0.23/0.51 % (15992)------------------------------
% 0.23/0.51 % (15994)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.51 % (15964)First to succeed.
% 0.23/0.52 % (15994)Instruction limit reached!
% 0.23/0.52 % (15994)------------------------------
% 0.23/0.52 % (15994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (15994)Termination reason: Unknown
% 0.23/0.52 % (15994)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (15994)Memory used [KB]: 6012
% 0.23/0.52 % (15994)Time elapsed: 0.012 s
% 0.23/0.52 % (15994)Instructions burned: 18 (million)
% 0.23/0.52 % (15994)------------------------------
% 0.23/0.52 % (15994)------------------------------
% 0.23/0.52 % (15995)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.52 % (15995)Instruction limit reached!
% 0.23/0.52 % (15995)------------------------------
% 0.23/0.52 % (15995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (15995)Termination reason: Unknown
% 0.23/0.52 % (15995)Termination phase: Preprocessing 3
% 0.23/0.52
% 0.23/0.52 % (15995)Memory used [KB]: 1023
% 0.23/0.52 % (15995)Time elapsed: 0.004 s
% 0.23/0.52 % (15995)Instructions burned: 4 (million)
% 0.23/0.52 % (15995)------------------------------
% 0.23/0.52 % (15995)------------------------------
% 0.23/0.53 % (15964)Refutation found. Thanks to Tanya!
% 0.23/0.53 % SZS status Theorem for theBenchmark
% 0.23/0.53 % SZS output start Proof for theBenchmark
% 0.23/0.53 thf(func_def_0, type, cQ: $i > $o).
% 0.23/0.53 thf(func_def_1, type, cP: $i > $o).
% 0.23/0.53 thf(func_def_2, type, cS: $i > $o).
% 0.23/0.53 thf(func_def_3, type, cR: $i > $o).
% 0.23/0.53 thf(func_def_11, type, sK4: $i > $i).
% 0.23/0.53 thf(func_def_19, type, sK12: $i > $i).
% 0.23/0.53 thf(func_def_23, type, sK16: $i > $i).
% 0.23/0.53 thf(func_def_31, type, sK24: $i > $i).
% 0.23/0.53 thf(func_def_37, type, sK30: $i > $i).
% 0.23/0.53 thf(func_def_46, type, sK39: $i > $i).
% 0.23/0.53 thf(func_def_49, type, sK42: $i > $i).
% 0.23/0.53 thf(func_def_58, type, sK51: $i > $i).
% 0.23/0.53 thf(func_def_61, type, sK54: $i > $i).
% 0.23/0.53 thf(func_def_70, type, sK63: $i > $i).
% 0.23/0.53 thf(func_def_71, type, sK64: $i > $i).
% 0.23/0.53 thf(func_def_79, type, sK72: $i > $i).
% 0.23/0.53 thf(f2246,plain,(
% 0.23/0.53 $false),
% 0.23/0.53 inference(avatar_sat_refutation,[],[f258,f262,f280,f284,f298,f302,f316,f321,f329,f337,f353,f358,f370,f378,f386,f390,f398,f402,f414,f418,f423,f428,f437,f442,f447,f448,f457,f462,f470,f474,f482,f486,f487,f488,f497,f498,f507,f508,f513,f514,f519,f520,f532,f536,f545,f546,f547,f548,f557,f562,f567,f572,f577,f578,f582,f586,f594,f598,f606,f610,f619,f624,f637,f642,f647,f648,f649,f658,f659,f664,f665,f674,f675,f680,f681,f690,f691,f692,f697,f698,f707,f712,f717,f718,f723,f724,f729,f730,f731,f732,f737,f738,f739,f740,f741,f742,f751,f752,f754,f760,f762,f764,f766,f769,f775,f779,f782,f788,f794,f796,f806,f810,f813,f816,f819,f829,f833,f841,f847,f853,f859,f872,f874,f885,f891,f898,f911,f921,f934,f942,f979,f985,f989,f1036,f1054,f1060,f1068,f1074,f1080,f1102,f1104,f1108,f1145,f1159,f1173,f1196,f1199,f1201,f1215,f1285,f1291,f1307,f1320,f1332,f1334,f1345,f1347,f1349,f1351,f1353,f1358,f1400,f1414,f1418,f1420,f1426,f1443,f1473,f1515,f1527,f1532,f1537,f1541,f1543,f1545,f1584,f1590,f1636,f1643,f1645,f1647,f1662,f1689,f1695,f1755,f1758,f1767,f1772,f1774,f1789,f1810,f1829,f1853,f1865,f1919,f1928,f1932,f1934,f1936,f1963,f1970,f2033,f2066,f2162,f2186,f2193,f2210,f2245])).
% 0.23/0.53 thf(f2245,plain,(
% 0.23/0.53 spl76_6 | ~spl76_34 | ~spl76_85),
% 0.23/0.53 inference(avatar_split_clause,[],[f2242,f604,f372,f264])).
% 0.23/0.53 thf(f264,plain,(
% 0.23/0.53 spl76_6 <=> ! [X12] : ($true = (cQ @ X12))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_6])])).
% 0.23/0.53 thf(f372,plain,(
% 0.23/0.53 spl76_34 <=> ! [X19] : ((cQ @ X19) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_34])])).
% 0.23/0.53 thf(f604,plain,(
% 0.23/0.53 spl76_85 <=> ! [X0] : (((cQ @ (sK64 @ X0)) = $true) | ((cQ @ X0) = $true))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_85])])).
% 0.23/0.53 thf(f2242,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ X0) = $true)) ) | (~spl76_34 | ~spl76_85)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2236])).
% 0.23/0.53 thf(f2236,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ X0) = $true) | ($true = $false)) ) | (~spl76_34 | ~spl76_85)),
% 0.23/0.53 inference(superposition,[],[f373,f605])).
% 0.23/0.53 thf(f605,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ (sK64 @ X0)) = $true) | ((cQ @ X0) = $true)) ) | ~spl76_85),
% 0.23/0.53 inference(avatar_component_clause,[],[f604])).
% 0.23/0.53 thf(f373,plain,(
% 0.23/0.53 ( ! [X19 : $i] : (((cQ @ X19) = $false)) ) | ~spl76_34),
% 0.23/0.53 inference(avatar_component_clause,[],[f372])).
% 0.23/0.53 thf(f2210,plain,(
% 0.23/0.53 spl76_27 | ~spl76_19 | ~spl76_83),
% 0.23/0.53 inference(avatar_split_clause,[],[f2203,f596,f310,f343])).
% 0.23/0.53 thf(f343,plain,(
% 0.23/0.53 spl76_27 <=> ! [X11] : ((cP @ X11) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_27])])).
% 0.23/0.53 thf(f310,plain,(
% 0.23/0.53 spl76_19 <=> ! [X8] : ($true = (cP @ X8))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_19])])).
% 0.23/0.53 thf(f596,plain,(
% 0.23/0.53 spl76_83 <=> ! [X28] : (((cP @ (sK42 @ X28)) = $false) | ((cP @ X28) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_83])])).
% 0.23/0.53 thf(f2203,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $false)) ) | (~spl76_19 | ~spl76_83)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2196])).
% 0.23/0.53 thf(f2196,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $false) | ($true = $false)) ) | (~spl76_19 | ~spl76_83)),
% 0.23/0.53 inference(superposition,[],[f311,f597])).
% 0.23/0.53 thf(f597,plain,(
% 0.23/0.53 ( ! [X28 : $i] : (((cP @ (sK42 @ X28)) = $false) | ((cP @ X28) = $false)) ) | ~spl76_83),
% 0.23/0.53 inference(avatar_component_clause,[],[f596])).
% 0.23/0.53 thf(f311,plain,(
% 0.23/0.53 ( ! [X8 : $i] : (($true = (cP @ X8))) ) | ~spl76_19),
% 0.23/0.53 inference(avatar_component_clause,[],[f310])).
% 0.23/0.53 thf(f2193,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_72),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f2192])).
% 0.23/0.53 thf(f2192,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_72)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2189])).
% 0.23/0.53 thf(f2189,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_72)),
% 0.23/0.53 inference(superposition,[],[f344,f544])).
% 0.23/0.53 thf(f544,plain,(
% 0.23/0.53 ($true = (cP @ sK8)) | ~spl76_72),
% 0.23/0.53 inference(avatar_component_clause,[],[f542])).
% 0.23/0.53 thf(f542,plain,(
% 0.23/0.53 spl76_72 <=> ($true = (cP @ sK8))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_72])])).
% 0.23/0.53 thf(f344,plain,(
% 0.23/0.53 ( ! [X11 : $i] : (((cP @ X11) = $false)) ) | ~spl76_27),
% 0.23/0.53 inference(avatar_component_clause,[],[f343])).
% 0.23/0.53 thf(f2186,plain,(
% 0.23/0.53 spl76_19 | ~spl76_27 | ~spl76_81),
% 0.23/0.53 inference(avatar_split_clause,[],[f2182,f588,f343,f310])).
% 0.23/0.53 thf(f588,plain,(
% 0.23/0.53 spl76_81 <=> ! [X28] : (($true = (cP @ (sK42 @ X28))) | ((cP @ X28) = $true))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_81])])).
% 0.23/0.53 thf(f2182,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $true)) ) | (~spl76_27 | ~spl76_81)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2167])).
% 0.23/0.53 thf(f2167,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $true) | ($true = $false)) ) | (~spl76_27 | ~spl76_81)),
% 0.23/0.53 inference(superposition,[],[f589,f344])).
% 0.23/0.53 thf(f589,plain,(
% 0.23/0.53 ( ! [X28 : $i] : (($true = (cP @ (sK42 @ X28))) | ((cP @ X28) = $true)) ) | ~spl76_81),
% 0.23/0.53 inference(avatar_component_clause,[],[f588])).
% 0.23/0.53 thf(f2162,plain,(
% 0.23/0.53 spl76_34 | ~spl76_6 | ~spl76_86),
% 0.23/0.53 inference(avatar_split_clause,[],[f2159,f608,f264,f372])).
% 0.23/0.53 thf(f608,plain,(
% 0.23/0.53 spl76_86 <=> ! [X0] : (((cQ @ (sK64 @ X0)) = $false) | ((cQ @ X0) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_86])])).
% 0.23/0.53 thf(f2159,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ X0) = $false)) ) | (~spl76_6 | ~spl76_86)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2154])).
% 0.23/0.53 thf(f2154,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ X0) = $false) | ($true = $false)) ) | (~spl76_6 | ~spl76_86)),
% 0.23/0.53 inference(superposition,[],[f609,f265])).
% 0.23/0.53 thf(f265,plain,(
% 0.23/0.53 ( ! [X12 : $i] : (($true = (cQ @ X12))) ) | ~spl76_6),
% 0.23/0.53 inference(avatar_component_clause,[],[f264])).
% 0.23/0.53 thf(f609,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ (sK64 @ X0)) = $false) | ((cQ @ X0) = $false)) ) | ~spl76_86),
% 0.23/0.53 inference(avatar_component_clause,[],[f608])).
% 0.23/0.53 thf(f2066,plain,(
% 0.23/0.53 ~spl76_6 | spl76_52),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f2065])).
% 0.23/0.53 thf(f2065,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_52)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2038])).
% 0.23/0.53 thf(f2038,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_6 | spl76_52)),
% 0.23/0.53 inference(superposition,[],[f451,f265])).
% 0.23/0.53 thf(f451,plain,(
% 0.23/0.53 ($true != (cQ @ sK36)) | spl76_52),
% 0.23/0.53 inference(avatar_component_clause,[],[f450])).
% 0.23/0.53 thf(f450,plain,(
% 0.23/0.53 spl76_52 <=> ($true = (cQ @ sK36))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_52])])).
% 0.23/0.53 thf(f2033,plain,(
% 0.23/0.53 spl76_25 | ~spl76_10 | ~spl76_22),
% 0.23/0.53 inference(avatar_split_clause,[],[f2030,f323,f278,f335])).
% 0.23/0.53 thf(f335,plain,(
% 0.23/0.53 spl76_25 <=> ! [X7] : ($true = (cS @ X7))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_25])])).
% 0.23/0.53 thf(f278,plain,(
% 0.23/0.53 spl76_10 <=> ! [X16] : (($true = (cS @ (sK12 @ X16))) | ($true = (cS @ X16)))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_10])])).
% 0.23/0.53 thf(f323,plain,(
% 0.23/0.53 spl76_22 <=> ! [X7] : ((cS @ X7) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_22])])).
% 0.23/0.53 thf(f2030,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $true)) ) | (~spl76_10 | ~spl76_22)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f2028])).
% 0.23/0.53 thf(f2028,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cS @ X0) = $true)) ) | (~spl76_10 | ~spl76_22)),
% 0.23/0.53 inference(superposition,[],[f279,f324])).
% 0.23/0.53 thf(f324,plain,(
% 0.23/0.53 ( ! [X7 : $i] : (((cS @ X7) = $false)) ) | ~spl76_22),
% 0.23/0.53 inference(avatar_component_clause,[],[f323])).
% 0.23/0.53 thf(f279,plain,(
% 0.23/0.53 ( ! [X16 : $i] : (($true = (cS @ (sK12 @ X16))) | ($true = (cS @ X16))) ) | ~spl76_10),
% 0.23/0.53 inference(avatar_component_clause,[],[f278])).
% 0.23/0.53 thf(f1970,plain,(
% 0.23/0.53 ~spl76_34 | ~spl76_91),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1969])).
% 0.23/0.53 thf(f1969,plain,(
% 0.23/0.53 $false | (~spl76_34 | ~spl76_91)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1966])).
% 0.23/0.53 thf(f1966,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_34 | ~spl76_91)),
% 0.23/0.53 inference(superposition,[],[f373,f632])).
% 0.23/0.53 thf(f632,plain,(
% 0.23/0.53 ($true = (cQ @ sK43)) | ~spl76_91),
% 0.23/0.53 inference(avatar_component_clause,[],[f630])).
% 0.23/0.53 thf(f630,plain,(
% 0.23/0.53 spl76_91 <=> ($true = (cQ @ sK43))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_91])])).
% 0.23/0.53 thf(f1963,plain,(
% 0.23/0.53 ~spl76_90 | ~spl76_93),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1962])).
% 0.23/0.53 thf(f1962,plain,(
% 0.23/0.53 $false | (~spl76_90 | ~spl76_93)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1958])).
% 0.23/0.53 thf(f1958,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_90 | ~spl76_93)),
% 0.23/0.53 inference(superposition,[],[f628,f641])).
% 0.23/0.53 thf(f641,plain,(
% 0.23/0.53 ((cP @ sK45) = $false) | ~spl76_93),
% 0.23/0.53 inference(avatar_component_clause,[],[f639])).
% 0.23/0.53 thf(f639,plain,(
% 0.23/0.53 spl76_93 <=> ((cP @ sK45) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_93])])).
% 0.23/0.53 thf(f628,plain,(
% 0.23/0.53 ((cP @ sK45) = $true) | ~spl76_90),
% 0.23/0.53 inference(avatar_component_clause,[],[f626])).
% 0.23/0.53 thf(f626,plain,(
% 0.23/0.53 spl76_90 <=> ((cP @ sK45) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_90])])).
% 0.23/0.53 thf(f1936,plain,(
% 0.23/0.53 ~spl76_15 | spl76_92),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1935])).
% 0.23/0.53 thf(f1935,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_92)),
% 0.23/0.53 inference(subsumption_resolution,[],[f636,f297])).
% 0.23/0.53 thf(f297,plain,(
% 0.23/0.53 ( ! [X44 : $i] : (($true = (cR @ X44))) ) | ~spl76_15),
% 0.23/0.53 inference(avatar_component_clause,[],[f296])).
% 0.23/0.53 thf(f296,plain,(
% 0.23/0.53 spl76_15 <=> ! [X44] : ($true = (cR @ X44))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_15])])).
% 0.23/0.53 thf(f636,plain,(
% 0.23/0.53 ($true != (cR @ sK44)) | spl76_92),
% 0.23/0.53 inference(avatar_component_clause,[],[f634])).
% 0.23/0.53 thf(f634,plain,(
% 0.23/0.53 spl76_92 <=> ($true = (cR @ sK44))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_92])])).
% 0.23/0.53 thf(f1934,plain,(
% 0.23/0.53 ~spl76_15 | spl76_82),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1933])).
% 0.23/0.53 thf(f1933,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_82)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1929])).
% 0.23/0.53 thf(f1929,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_82)),
% 0.23/0.53 inference(superposition,[],[f593,f297])).
% 0.23/0.53 thf(f593,plain,(
% 0.23/0.53 ((cR @ sK40) != $true) | spl76_82),
% 0.23/0.53 inference(avatar_component_clause,[],[f591])).
% 0.23/0.53 thf(f591,plain,(
% 0.23/0.53 spl76_82 <=> ((cR @ sK40) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_82])])).
% 0.23/0.53 thf(f1932,plain,(
% 0.23/0.53 ~spl76_15 | spl76_110),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1931])).
% 0.23/0.53 thf(f1931,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_110)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1930])).
% 0.23/0.53 thf(f1930,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_110)),
% 0.23/0.53 inference(superposition,[],[f735,f297])).
% 0.23/0.53 thf(f735,plain,(
% 0.23/0.53 ($true != (cR @ sK66)) | spl76_110),
% 0.23/0.53 inference(avatar_component_clause,[],[f734])).
% 0.23/0.53 thf(f734,plain,(
% 0.23/0.53 spl76_110 <=> ($true = (cR @ sK66))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_110])])).
% 0.23/0.53 thf(f1928,plain,(
% 0.23/0.53 ~spl76_34 | ~spl76_108),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1927])).
% 0.23/0.53 thf(f1927,plain,(
% 0.23/0.53 $false | (~spl76_34 | ~spl76_108)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1923])).
% 0.23/0.53 thf(f1923,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_34 | ~spl76_108)),
% 0.23/0.53 inference(superposition,[],[f722,f373])).
% 0.23/0.53 thf(f722,plain,(
% 0.23/0.53 ($true = (cQ @ sK41)) | ~spl76_108),
% 0.23/0.53 inference(avatar_component_clause,[],[f720])).
% 0.23/0.53 thf(f720,plain,(
% 0.23/0.53 spl76_108 <=> ($true = (cQ @ sK41))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_108])])).
% 0.23/0.53 thf(f1919,plain,(
% 0.23/0.53 ~spl76_7 | ~spl76_81),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1918])).
% 0.23/0.53 thf(f1918,plain,(
% 0.23/0.53 $false | (~spl76_7 | ~spl76_81)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1914,f268])).
% 0.23/0.53 thf(f268,plain,(
% 0.23/0.53 ( ! [X13 : $i] : (((cP @ X13) != $true)) ) | ~spl76_7),
% 0.23/0.53 inference(avatar_component_clause,[],[f267])).
% 0.23/0.53 thf(f267,plain,(
% 0.23/0.53 spl76_7 <=> ! [X13] : ((cP @ X13) != $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_7])])).
% 0.23/0.53 thf(f1914,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $true)) ) | (~spl76_7 | ~spl76_81)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1912])).
% 0.23/0.53 thf(f1912,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $true) | ($true != $true)) ) | (~spl76_7 | ~spl76_81)),
% 0.23/0.53 inference(superposition,[],[f268,f589])).
% 0.23/0.53 thf(f1865,plain,(
% 0.23/0.53 ~spl76_18 | ~spl76_96),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1864])).
% 0.23/0.53 thf(f1864,plain,(
% 0.23/0.53 $false | (~spl76_18 | ~spl76_96)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1860])).
% 0.23/0.53 thf(f1860,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_18 | ~spl76_96)),
% 0.23/0.53 inference(superposition,[],[f657,f308])).
% 0.23/0.53 thf(f308,plain,(
% 0.23/0.53 ( ! [X11 : $i] : (((cR @ X11) = $false)) ) | ~spl76_18),
% 0.23/0.53 inference(avatar_component_clause,[],[f307])).
% 0.23/0.53 thf(f307,plain,(
% 0.23/0.53 spl76_18 <=> ! [X11] : ((cR @ X11) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_18])])).
% 0.23/0.53 thf(f657,plain,(
% 0.23/0.53 ($true = (cR @ sK68)) | ~spl76_96),
% 0.23/0.53 inference(avatar_component_clause,[],[f655])).
% 0.23/0.53 thf(f655,plain,(
% 0.23/0.53 spl76_96 <=> ($true = (cR @ sK68))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_96])])).
% 0.23/0.53 thf(f1853,plain,(
% 0.23/0.53 ~spl76_25 | spl76_95),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1852])).
% 0.23/0.53 thf(f1852,plain,(
% 0.23/0.53 $false | (~spl76_25 | spl76_95)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1851])).
% 0.23/0.53 thf(f1851,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_25 | spl76_95)),
% 0.23/0.53 inference(superposition,[],[f653,f336])).
% 0.23/0.53 thf(f336,plain,(
% 0.23/0.53 ( ! [X7 : $i] : (($true = (cS @ X7))) ) | ~spl76_25),
% 0.23/0.53 inference(avatar_component_clause,[],[f335])).
% 0.23/0.53 thf(f653,plain,(
% 0.23/0.53 ($true != (cS @ sK69)) | spl76_95),
% 0.23/0.53 inference(avatar_component_clause,[],[f651])).
% 0.23/0.53 thf(f651,plain,(
% 0.23/0.53 spl76_95 <=> ($true = (cS @ sK69))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_95])])).
% 0.23/0.53 thf(f1829,plain,(
% 0.23/0.53 ~spl76_25 | spl76_84),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1828])).
% 0.23/0.53 thf(f1828,plain,(
% 0.23/0.53 $false | (~spl76_25 | spl76_84)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1821])).
% 0.23/0.53 thf(f1821,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_25 | spl76_84)),
% 0.23/0.53 inference(superposition,[],[f602,f336])).
% 0.23/0.53 thf(f602,plain,(
% 0.23/0.53 ((cS @ sK65) != $true) | spl76_84),
% 0.23/0.53 inference(avatar_component_clause,[],[f600])).
% 0.23/0.53 thf(f600,plain,(
% 0.23/0.53 spl76_84 <=> ((cS @ sK65) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_84])])).
% 0.23/0.53 thf(f1810,plain,(
% 0.23/0.53 ~spl76_34 | ~spl76_52),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1809])).
% 0.23/0.53 thf(f1809,plain,(
% 0.23/0.53 $false | (~spl76_34 | ~spl76_52)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1805])).
% 0.23/0.53 thf(f1805,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_34 | ~spl76_52)),
% 0.23/0.53 inference(superposition,[],[f452,f373])).
% 0.23/0.53 thf(f452,plain,(
% 0.23/0.53 ($true = (cQ @ sK36)) | ~spl76_52),
% 0.23/0.53 inference(avatar_component_clause,[],[f450])).
% 0.23/0.53 thf(f1789,plain,(
% 0.23/0.53 ~spl76_7 | ~spl76_44),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1788])).
% 0.23/0.53 thf(f1788,plain,(
% 0.23/0.53 $false | (~spl76_7 | ~spl76_44)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1787,f268])).
% 0.23/0.53 thf(f1787,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $true)) ) | (~spl76_7 | ~spl76_44)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1786])).
% 0.23/0.53 thf(f1786,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true != $true) | ((cP @ X0) = $true)) ) | (~spl76_7 | ~spl76_44)),
% 0.23/0.53 inference(superposition,[],[f268,f413])).
% 0.23/0.53 thf(f413,plain,(
% 0.23/0.53 ( ! [X22 : $i] : (((cP @ (sK39 @ X22)) = $true) | ($true = (cP @ X22))) ) | ~spl76_44),
% 0.23/0.53 inference(avatar_component_clause,[],[f412])).
% 0.23/0.53 thf(f412,plain,(
% 0.23/0.53 spl76_44 <=> ! [X22] : (((cP @ (sK39 @ X22)) = $true) | ($true = (cP @ X22)))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_44])])).
% 0.23/0.53 thf(f1774,plain,(
% 0.23/0.53 ~spl76_15 | spl76_87),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1773])).
% 0.23/0.53 thf(f1773,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_87)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1769])).
% 0.23/0.53 thf(f1769,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_87)),
% 0.23/0.53 inference(superposition,[],[f613,f297])).
% 0.23/0.53 thf(f613,plain,(
% 0.23/0.53 ($true != (cR @ sK58)) | spl76_87),
% 0.23/0.53 inference(avatar_component_clause,[],[f612])).
% 0.23/0.53 thf(f612,plain,(
% 0.23/0.53 spl76_87 <=> ($true = (cR @ sK58))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_87])])).
% 0.23/0.53 thf(f1772,plain,(
% 0.23/0.53 spl76_3 | ~spl76_15),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1771])).
% 0.23/0.53 thf(f1771,plain,(
% 0.23/0.53 $false | (spl76_3 | ~spl76_15)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1770])).
% 0.23/0.53 thf(f1770,plain,(
% 0.23/0.53 ($true != $true) | (spl76_3 | ~spl76_15)),
% 0.23/0.53 inference(superposition,[],[f252,f297])).
% 0.23/0.53 thf(f252,plain,(
% 0.23/0.53 ((cR @ sK70) != $true) | spl76_3),
% 0.23/0.53 inference(avatar_component_clause,[],[f251])).
% 0.23/0.53 thf(f251,plain,(
% 0.23/0.53 spl76_3 <=> ((cR @ sK70) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_3])])).
% 0.23/0.53 thf(f1767,plain,(
% 0.23/0.53 ~spl76_53 | ~spl76_54),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1766])).
% 0.23/0.53 thf(f1766,plain,(
% 0.23/0.53 $false | (~spl76_53 | ~spl76_54)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1763])).
% 0.23/0.53 thf(f1763,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_53 | ~spl76_54)),
% 0.23/0.53 inference(superposition,[],[f456,f461])).
% 0.23/0.53 thf(f461,plain,(
% 0.23/0.53 ($true = (cP @ sK34)) | ~spl76_54),
% 0.23/0.53 inference(avatar_component_clause,[],[f459])).
% 0.23/0.53 thf(f459,plain,(
% 0.23/0.53 spl76_54 <=> ($true = (cP @ sK34))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_54])])).
% 0.23/0.53 thf(f456,plain,(
% 0.23/0.53 ($false = (cP @ sK34)) | ~spl76_53),
% 0.23/0.53 inference(avatar_component_clause,[],[f454])).
% 0.23/0.53 thf(f454,plain,(
% 0.23/0.53 spl76_53 <=> ($false = (cP @ sK34))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_53])])).
% 0.23/0.53 thf(f1758,plain,(
% 0.23/0.53 ~spl76_12 | ~spl76_85),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1757])).
% 0.23/0.53 thf(f1757,plain,(
% 0.23/0.53 $false | (~spl76_12 | ~spl76_85)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1756,f287])).
% 0.23/0.53 thf(f287,plain,(
% 0.23/0.53 ( ! [X45 : $i] : (($true != (cQ @ X45))) ) | ~spl76_12),
% 0.23/0.53 inference(avatar_component_clause,[],[f286])).
% 0.23/0.53 thf(f286,plain,(
% 0.23/0.53 spl76_12 <=> ! [X45] : ($true != (cQ @ X45))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_12])])).
% 0.23/0.53 thf(f1756,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ (sK64 @ X0)) = $true)) ) | (~spl76_12 | ~spl76_85)),
% 0.23/0.53 inference(subsumption_resolution,[],[f605,f287])).
% 0.23/0.53 thf(f1755,plain,(
% 0.23/0.53 ~spl76_18 | ~spl76_110),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1754])).
% 0.23/0.53 thf(f1754,plain,(
% 0.23/0.53 $false | (~spl76_18 | ~spl76_110)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1751])).
% 0.23/0.53 thf(f1751,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_18 | ~spl76_110)),
% 0.23/0.53 inference(superposition,[],[f308,f736])).
% 0.23/0.53 thf(f736,plain,(
% 0.23/0.53 ($true = (cR @ sK66)) | ~spl76_110),
% 0.23/0.53 inference(avatar_component_clause,[],[f734])).
% 0.23/0.53 thf(f1695,plain,(
% 0.23/0.53 ~spl76_34 | ~spl76_42),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1694])).
% 0.23/0.53 thf(f1694,plain,(
% 0.23/0.53 $false | (~spl76_34 | ~spl76_42)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1690])).
% 0.23/0.53 thf(f1690,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_34 | ~spl76_42)),
% 0.23/0.53 inference(superposition,[],[f406,f373])).
% 0.23/0.53 thf(f406,plain,(
% 0.23/0.53 ($true = (cQ @ sK37)) | ~spl76_42),
% 0.23/0.53 inference(avatar_component_clause,[],[f404])).
% 0.23/0.53 thf(f404,plain,(
% 0.23/0.53 spl76_42 <=> ($true = (cQ @ sK37))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_42])])).
% 0.23/0.53 thf(f1689,plain,(
% 0.23/0.53 spl76_27 | ~spl76_19 | ~spl76_45),
% 0.23/0.53 inference(avatar_split_clause,[],[f1686,f416,f310,f343])).
% 0.23/0.53 thf(f416,plain,(
% 0.23/0.53 spl76_45 <=> ! [X22] : (($false = (cP @ X22)) | ((cP @ (sK39 @ X22)) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_45])])).
% 0.23/0.53 thf(f1686,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cP @ X0) = $false)) ) | (~spl76_19 | ~spl76_45)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1684])).
% 0.23/0.53 thf(f1684,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cP @ X0) = $false)) ) | (~spl76_19 | ~spl76_45)),
% 0.23/0.53 inference(superposition,[],[f417,f311])).
% 0.23/0.53 thf(f417,plain,(
% 0.23/0.53 ( ! [X22 : $i] : (((cP @ (sK39 @ X22)) = $false) | ($false = (cP @ X22))) ) | ~spl76_45),
% 0.23/0.53 inference(avatar_component_clause,[],[f416])).
% 0.23/0.53 thf(f1662,plain,(
% 0.23/0.53 ~spl76_46 | ~spl76_47),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1661])).
% 0.23/0.53 thf(f1661,plain,(
% 0.23/0.53 $false | (~spl76_46 | ~spl76_47)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1657])).
% 0.23/0.53 thf(f1657,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_46 | ~spl76_47)),
% 0.23/0.53 inference(superposition,[],[f427,f422])).
% 0.23/0.53 thf(f422,plain,(
% 0.23/0.53 ($false = (cQ @ sK67)) | ~spl76_46),
% 0.23/0.53 inference(avatar_component_clause,[],[f420])).
% 0.23/0.53 thf(f420,plain,(
% 0.23/0.53 spl76_46 <=> ($false = (cQ @ sK67))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_46])])).
% 0.23/0.53 thf(f427,plain,(
% 0.23/0.53 ($true = (cQ @ sK67)) | ~spl76_47),
% 0.23/0.53 inference(avatar_component_clause,[],[f425])).
% 0.23/0.53 thf(f425,plain,(
% 0.23/0.53 spl76_47 <=> ($true = (cQ @ sK67))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_47])])).
% 0.23/0.53 thf(f1647,plain,(
% 0.23/0.53 ~spl76_15 | spl76_43),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1646])).
% 0.23/0.53 thf(f1646,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_43)),
% 0.23/0.53 inference(subsumption_resolution,[],[f410,f297])).
% 0.23/0.53 thf(f410,plain,(
% 0.23/0.53 ((cR @ sK38) != $true) | spl76_43),
% 0.23/0.53 inference(avatar_component_clause,[],[f408])).
% 0.23/0.53 thf(f408,plain,(
% 0.23/0.53 spl76_43 <=> ((cR @ sK38) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_43])])).
% 0.23/0.53 thf(f1645,plain,(
% 0.23/0.53 ~spl76_15 | spl76_65),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1644])).
% 0.23/0.53 thf(f1644,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_65)),
% 0.23/0.53 inference(subsumption_resolution,[],[f512,f297])).
% 0.23/0.53 thf(f512,plain,(
% 0.23/0.53 ($true != (cR @ sK35)) | spl76_65),
% 0.23/0.53 inference(avatar_component_clause,[],[f510])).
% 0.23/0.53 thf(f510,plain,(
% 0.23/0.53 spl76_65 <=> ($true = (cR @ sK35))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_65])])).
% 0.23/0.53 thf(f1643,plain,(
% 0.23/0.53 ~spl76_29 | ~spl76_34),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1642])).
% 0.23/0.53 thf(f1642,plain,(
% 0.23/0.53 $false | (~spl76_29 | ~spl76_34)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1639])).
% 0.23/0.53 thf(f1639,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_29 | ~spl76_34)),
% 0.23/0.53 inference(superposition,[],[f373,f352])).
% 0.23/0.53 thf(f352,plain,(
% 0.23/0.53 ((cQ @ sK31) = $true) | ~spl76_29),
% 0.23/0.53 inference(avatar_component_clause,[],[f350])).
% 0.23/0.53 thf(f350,plain,(
% 0.23/0.53 spl76_29 <=> ((cQ @ sK31) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_29])])).
% 0.23/0.53 thf(f1636,plain,(
% 0.23/0.53 ~spl76_34 | ~spl76_63),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1635])).
% 0.23/0.53 thf(f1635,plain,(
% 0.23/0.53 $false | (~spl76_34 | ~spl76_63)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1631])).
% 0.23/0.53 thf(f1631,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_34 | ~spl76_63)),
% 0.23/0.53 inference(superposition,[],[f502,f373])).
% 0.23/0.53 thf(f502,plain,(
% 0.23/0.53 ($true = (cQ @ sK49)) | ~spl76_63),
% 0.23/0.53 inference(avatar_component_clause,[],[f500])).
% 0.23/0.53 thf(f500,plain,(
% 0.23/0.53 spl76_63 <=> ($true = (cQ @ sK49))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_63])])).
% 0.23/0.53 thf(f1590,plain,(
% 0.23/0.53 ~spl76_19 | spl76_112),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1589])).
% 0.23/0.53 thf(f1589,plain,(
% 0.23/0.53 $false | (~spl76_19 | spl76_112)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1587])).
% 0.23/0.53 thf(f1587,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_19 | spl76_112)),
% 0.23/0.53 inference(superposition,[],[f749,f311])).
% 0.23/0.53 thf(f749,plain,(
% 0.23/0.53 ((cP @ sK20) != $true) | spl76_112),
% 0.23/0.53 inference(avatar_component_clause,[],[f748])).
% 0.23/0.53 thf(f748,plain,(
% 0.23/0.53 spl76_112 <=> ((cP @ sK20) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_112])])).
% 0.23/0.53 thf(f1584,plain,(
% 0.23/0.53 spl76_18 | ~spl76_15 | ~spl76_80),
% 0.23/0.53 inference(avatar_split_clause,[],[f1581,f584,f296,f307])).
% 0.23/0.53 thf(f584,plain,(
% 0.23/0.53 spl76_80 <=> ! [X22] : (((cR @ X22) = $false) | ($false = (cR @ (sK63 @ X22))))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_80])])).
% 0.23/0.53 thf(f1581,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cR @ X0) = $false)) ) | (~spl76_15 | ~spl76_80)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1579])).
% 0.23/0.53 thf(f1579,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cR @ X0) = $false)) ) | (~spl76_15 | ~spl76_80)),
% 0.23/0.53 inference(superposition,[],[f585,f297])).
% 0.23/0.53 thf(f585,plain,(
% 0.23/0.53 ( ! [X22 : $i] : (($false = (cR @ (sK63 @ X22))) | ((cR @ X22) = $false)) ) | ~spl76_80),
% 0.23/0.53 inference(avatar_component_clause,[],[f584])).
% 0.23/0.53 thf(f1545,plain,(
% 0.23/0.53 spl76_18 | ~spl76_15 | ~spl76_57),
% 0.23/0.53 inference(avatar_split_clause,[],[f1530,f472,f296,f307])).
% 0.23/0.53 thf(f472,plain,(
% 0.23/0.53 spl76_57 <=> ! [X4] : (($false = (cR @ X4)) | ((cR @ (sK54 @ X4)) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_57])])).
% 0.23/0.53 thf(f1530,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cR @ X0) = $false)) ) | (~spl76_15 | ~spl76_57)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1518])).
% 0.23/0.53 thf(f1518,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cR @ X0) = $false) | ($true = $false)) ) | (~spl76_15 | ~spl76_57)),
% 0.23/0.53 inference(superposition,[],[f473,f297])).
% 0.23/0.53 thf(f473,plain,(
% 0.23/0.53 ( ! [X4 : $i] : (((cR @ (sK54 @ X4)) = $false) | ($false = (cR @ X4))) ) | ~spl76_57),
% 0.23/0.53 inference(avatar_component_clause,[],[f472])).
% 0.23/0.53 thf(f1543,plain,(
% 0.23/0.53 ~spl76_15 | spl76_51),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1542])).
% 0.23/0.53 thf(f1542,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_51)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1521])).
% 0.23/0.53 thf(f1521,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_51)),
% 0.23/0.53 inference(superposition,[],[f446,f297])).
% 0.23/0.53 thf(f446,plain,(
% 0.23/0.53 ($true != (cR @ sK47)) | spl76_51),
% 0.23/0.53 inference(avatar_component_clause,[],[f444])).
% 0.23/0.53 thf(f444,plain,(
% 0.23/0.53 spl76_51 <=> ($true = (cR @ sK47))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_51])])).
% 0.23/0.53 thf(f1541,plain,(
% 0.23/0.53 ~spl76_15 | spl76_28),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1540])).
% 0.23/0.53 thf(f1540,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_28)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1520])).
% 0.23/0.53 thf(f1520,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_28)),
% 0.23/0.53 inference(superposition,[],[f348,f297])).
% 0.23/0.53 thf(f348,plain,(
% 0.23/0.53 ($true != (cR @ sK32)) | spl76_28),
% 0.23/0.53 inference(avatar_component_clause,[],[f346])).
% 0.23/0.53 thf(f346,plain,(
% 0.23/0.53 spl76_28 <=> ($true = (cR @ sK32))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_28])])).
% 0.23/0.53 thf(f1537,plain,(
% 0.23/0.53 ~spl76_15 | spl76_100),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1536])).
% 0.23/0.53 thf(f1536,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_100)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1525])).
% 0.23/0.53 thf(f1525,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_100)),
% 0.23/0.53 inference(superposition,[],[f678,f297])).
% 0.23/0.53 thf(f678,plain,(
% 0.23/0.53 ($true != (cR @ sK75)) | spl76_100),
% 0.23/0.53 inference(avatar_component_clause,[],[f677])).
% 0.23/0.53 thf(f677,plain,(
% 0.23/0.53 spl76_100 <=> ($true = (cR @ sK75))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_100])])).
% 0.23/0.53 thf(f1532,plain,(
% 0.23/0.53 ~spl76_15 | spl76_64),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1531])).
% 0.23/0.53 thf(f1531,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_64)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1522])).
% 0.23/0.53 thf(f1522,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_64)),
% 0.23/0.53 inference(superposition,[],[f506,f297])).
% 0.23/0.53 thf(f506,plain,(
% 0.23/0.53 ($true != (cR @ sK50)) | spl76_64),
% 0.23/0.53 inference(avatar_component_clause,[],[f504])).
% 0.23/0.53 thf(f504,plain,(
% 0.23/0.53 spl76_64 <=> ($true = (cR @ sK50))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_64])])).
% 0.23/0.53 thf(f1527,plain,(
% 0.23/0.53 ~spl76_15 | spl76_40),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1526])).
% 0.23/0.53 thf(f1526,plain,(
% 0.23/0.53 $false | (~spl76_15 | spl76_40)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1519])).
% 0.23/0.53 thf(f1519,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_15 | spl76_40)),
% 0.23/0.53 inference(superposition,[],[f397,f297])).
% 0.23/0.53 thf(f397,plain,(
% 0.23/0.53 ($true != (cR @ sK28)) | spl76_40),
% 0.23/0.53 inference(avatar_component_clause,[],[f395])).
% 0.23/0.53 thf(f395,plain,(
% 0.23/0.53 spl76_40 <=> ($true = (cR @ sK28))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_40])])).
% 0.23/0.53 thf(f1515,plain,(
% 0.23/0.53 ~spl76_22 | ~spl76_101),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1514])).
% 0.23/0.53 thf(f1514,plain,(
% 0.23/0.53 $false | (~spl76_22 | ~spl76_101)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1511])).
% 0.23/0.53 thf(f1511,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_22 | ~spl76_101)),
% 0.23/0.53 inference(superposition,[],[f324,f685])).
% 0.23/0.53 thf(f685,plain,(
% 0.23/0.53 ((cS @ sK61) = $true) | ~spl76_101),
% 0.23/0.53 inference(avatar_component_clause,[],[f683])).
% 0.23/0.53 thf(f683,plain,(
% 0.23/0.53 spl76_101 <=> ((cS @ sK61) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_101])])).
% 0.23/0.53 thf(f1473,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_104),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1472])).
% 0.23/0.53 thf(f1472,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_104)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1469])).
% 0.23/0.53 thf(f1469,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_104)),
% 0.23/0.53 inference(superposition,[],[f344,f702])).
% 0.23/0.53 thf(f702,plain,(
% 0.23/0.53 ($true = (cP @ sK15)) | ~spl76_104),
% 0.23/0.53 inference(avatar_component_clause,[],[f700])).
% 0.23/0.53 thf(f700,plain,(
% 0.23/0.53 spl76_104 <=> ($true = (cP @ sK15))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_104])])).
% 0.23/0.53 thf(f1443,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_62),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1442])).
% 0.23/0.53 thf(f1442,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_62)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1429])).
% 0.23/0.53 thf(f1429,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_62)),
% 0.23/0.53 inference(superposition,[],[f344,f496])).
% 0.23/0.53 thf(f496,plain,(
% 0.23/0.53 ($true = (cP @ sK10)) | ~spl76_62),
% 0.23/0.53 inference(avatar_component_clause,[],[f494])).
% 0.23/0.53 thf(f494,plain,(
% 0.23/0.53 spl76_62 <=> ($true = (cP @ sK10))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_62])])).
% 0.23/0.53 thf(f1426,plain,(
% 0.23/0.53 ~spl76_105 | ~spl76_106),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1425])).
% 0.23/0.53 thf(f1425,plain,(
% 0.23/0.53 $false | (~spl76_105 | ~spl76_106)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1422])).
% 0.23/0.53 thf(f1422,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_105 | ~spl76_106)),
% 0.23/0.53 inference(superposition,[],[f706,f711])).
% 0.23/0.53 thf(f711,plain,(
% 0.23/0.53 ($true = (cS @ sK13)) | ~spl76_106),
% 0.23/0.53 inference(avatar_component_clause,[],[f709])).
% 0.23/0.53 thf(f709,plain,(
% 0.23/0.53 spl76_106 <=> ($true = (cS @ sK13))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_106])])).
% 0.23/0.53 thf(f706,plain,(
% 0.23/0.53 ($false = (cS @ sK13)) | ~spl76_105),
% 0.23/0.53 inference(avatar_component_clause,[],[f704])).
% 0.23/0.53 thf(f704,plain,(
% 0.23/0.53 spl76_105 <=> ($false = (cS @ sK13))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_105])])).
% 0.23/0.53 thf(f1420,plain,(
% 0.23/0.53 ~spl76_6 | spl76_107),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1419])).
% 0.23/0.53 thf(f1419,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_107)),
% 0.23/0.53 inference(subsumption_resolution,[],[f716,f265])).
% 0.23/0.53 thf(f716,plain,(
% 0.23/0.53 ($true != (cQ @ sK14)) | spl76_107),
% 0.23/0.53 inference(avatar_component_clause,[],[f714])).
% 0.23/0.53 thf(f714,plain,(
% 0.23/0.53 spl76_107 <=> ($true = (cQ @ sK14))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_107])])).
% 0.23/0.53 thf(f1418,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_112),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1417])).
% 0.23/0.53 thf(f1417,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_112)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1410])).
% 0.23/0.53 thf(f1410,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_112)),
% 0.23/0.53 inference(superposition,[],[f750,f344])).
% 0.23/0.53 thf(f750,plain,(
% 0.23/0.53 ((cP @ sK20) = $true) | ~spl76_112),
% 0.23/0.53 inference(avatar_component_clause,[],[f748])).
% 0.23/0.53 thf(f1414,plain,(
% 0.23/0.53 ~spl76_7 | ~spl76_112),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1413])).
% 0.23/0.53 thf(f1413,plain,(
% 0.23/0.53 $false | (~spl76_7 | ~spl76_112)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1411])).
% 0.23/0.53 thf(f1411,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_7 | ~spl76_112)),
% 0.23/0.53 inference(superposition,[],[f268,f750])).
% 0.23/0.53 thf(f1400,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_69),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1399])).
% 0.23/0.53 thf(f1399,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_69)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1396])).
% 0.23/0.53 thf(f1396,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_69)),
% 0.23/0.53 inference(superposition,[],[f344,f531])).
% 0.23/0.53 thf(f531,plain,(
% 0.23/0.53 ($true = (cP @ sK22)) | ~spl76_69),
% 0.23/0.53 inference(avatar_component_clause,[],[f529])).
% 0.23/0.53 thf(f529,plain,(
% 0.23/0.53 spl76_69 <=> ($true = (cP @ sK22))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_69])])).
% 0.23/0.53 thf(f1358,plain,(
% 0.23/0.53 spl76_34 | ~spl76_5 | ~spl76_6),
% 0.23/0.53 inference(avatar_split_clause,[],[f1343,f264,f260,f372])).
% 0.23/0.53 thf(f260,plain,(
% 0.23/0.53 spl76_5 <=> ! [X16] : (((cQ @ (sK72 @ X16)) = $false) | ((cQ @ X16) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_5])])).
% 0.23/0.53 thf(f1343,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cQ @ X0) = $false)) ) | (~spl76_5 | ~spl76_6)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1335])).
% 0.23/0.53 thf(f1335,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cQ @ X0) = $false)) ) | (~spl76_5 | ~spl76_6)),
% 0.23/0.53 inference(superposition,[],[f265,f261])).
% 0.23/0.53 thf(f261,plain,(
% 0.23/0.53 ( ! [X16 : $i] : (((cQ @ (sK72 @ X16)) = $false) | ((cQ @ X16) = $false)) ) | ~spl76_5),
% 0.23/0.53 inference(avatar_component_clause,[],[f260])).
% 0.23/0.53 thf(f1353,plain,(
% 0.23/0.53 ~spl76_6 | spl76_67),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1352])).
% 0.23/0.53 thf(f1352,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_67)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1340])).
% 0.23/0.53 thf(f1340,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_6 | spl76_67)),
% 0.23/0.53 inference(superposition,[],[f524,f265])).
% 0.23/0.53 thf(f524,plain,(
% 0.23/0.53 ((cQ @ sK23) != $true) | spl76_67),
% 0.23/0.53 inference(avatar_component_clause,[],[f522])).
% 0.23/0.53 thf(f522,plain,(
% 0.23/0.53 spl76_67 <=> ((cQ @ sK23) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_67])])).
% 0.23/0.53 thf(f1351,plain,(
% 0.23/0.53 ~spl76_6 | spl76_61),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1350])).
% 0.23/0.53 thf(f1350,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_61)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1337])).
% 0.23/0.53 thf(f1337,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_6 | spl76_61)),
% 0.23/0.53 inference(superposition,[],[f492,f265])).
% 0.23/0.53 thf(f492,plain,(
% 0.23/0.53 ((cQ @ sK11) != $true) | spl76_61),
% 0.23/0.53 inference(avatar_component_clause,[],[f490])).
% 0.23/0.53 thf(f490,plain,(
% 0.23/0.53 spl76_61 <=> ((cQ @ sK11) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_61])])).
% 0.23/0.53 thf(f1349,plain,(
% 0.23/0.53 ~spl76_6 | spl76_111),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1348])).
% 0.23/0.53 thf(f1348,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_111)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1339])).
% 0.23/0.53 thf(f1339,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_6 | spl76_111)),
% 0.23/0.53 inference(superposition,[],[f746,f265])).
% 0.23/0.53 thf(f746,plain,(
% 0.23/0.53 ($true != (cQ @ sK21)) | spl76_111),
% 0.23/0.53 inference(avatar_component_clause,[],[f744])).
% 0.23/0.53 thf(f744,plain,(
% 0.23/0.53 spl76_111 <=> ($true = (cQ @ sK21))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_111])])).
% 0.23/0.53 thf(f1347,plain,(
% 0.23/0.53 ~spl76_6 | spl76_109),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1346])).
% 0.23/0.53 thf(f1346,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_109)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1341])).
% 0.23/0.53 thf(f1341,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_6 | spl76_109)),
% 0.23/0.53 inference(superposition,[],[f728,f265])).
% 0.23/0.53 thf(f728,plain,(
% 0.23/0.53 ((cQ @ sK26) != $true) | spl76_109),
% 0.23/0.53 inference(avatar_component_clause,[],[f726])).
% 0.23/0.53 thf(f726,plain,(
% 0.23/0.53 spl76_109 <=> ((cQ @ sK26) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_109])])).
% 0.23/0.53 thf(f1345,plain,(
% 0.23/0.53 ~spl76_6 | spl76_36),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1344])).
% 0.23/0.53 thf(f1344,plain,(
% 0.23/0.53 $false | (~spl76_6 | spl76_36)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1338])).
% 0.23/0.53 thf(f1338,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_6 | spl76_36)),
% 0.23/0.53 inference(superposition,[],[f382,f265])).
% 0.23/0.53 thf(f382,plain,(
% 0.23/0.53 ($true != (cQ @ sK17)) | spl76_36),
% 0.23/0.53 inference(avatar_component_clause,[],[f380])).
% 0.23/0.53 thf(f380,plain,(
% 0.23/0.53 spl76_36 <=> ($true = (cQ @ sK17))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_36])])).
% 0.23/0.53 thf(f1334,plain,(
% 0.23/0.53 spl76_22 | ~spl76_17 | ~spl76_68 | ~spl76_70),
% 0.23/0.53 inference(avatar_split_clause,[],[f1333,f534,f526,f304,f323])).
% 0.23/0.53 thf(f304,plain,(
% 0.23/0.53 spl76_17 <=> ! [X9] : ($true != (cS @ X9))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_17])])).
% 0.23/0.53 thf(f526,plain,(
% 0.23/0.53 spl76_68 <=> ! [X40] : (((cS @ (sK24 @ X40)) = $true) | ($true = (cS @ X40)))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_68])])).
% 0.23/0.53 thf(f534,plain,(
% 0.23/0.53 spl76_70 <=> ! [X40] : (((cS @ (sK24 @ X40)) = $false) | ((cS @ X40) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_70])])).
% 0.23/0.53 thf(f1333,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $false)) ) | (~spl76_17 | ~spl76_68 | ~spl76_70)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1326,f305])).
% 0.23/0.53 thf(f305,plain,(
% 0.23/0.53 ( ! [X9 : $i] : (($true != (cS @ X9))) ) | ~spl76_17),
% 0.23/0.53 inference(avatar_component_clause,[],[f304])).
% 0.23/0.53 thf(f1326,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $true) | ((cS @ X0) = $false)) ) | (~spl76_68 | ~spl76_70)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1323])).
% 0.23/0.53 thf(f1323,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cS @ X0) = $true) | ((cS @ X0) = $false)) ) | (~spl76_68 | ~spl76_70)),
% 0.23/0.53 inference(superposition,[],[f527,f535])).
% 0.23/0.53 thf(f535,plain,(
% 0.23/0.53 ( ! [X40 : $i] : (((cS @ (sK24 @ X40)) = $false) | ((cS @ X40) = $false)) ) | ~spl76_70),
% 0.23/0.53 inference(avatar_component_clause,[],[f534])).
% 0.23/0.53 thf(f527,plain,(
% 0.23/0.53 ( ! [X40 : $i] : (((cS @ (sK24 @ X40)) = $true) | ($true = (cS @ X40))) ) | ~spl76_68),
% 0.23/0.53 inference(avatar_component_clause,[],[f526])).
% 0.23/0.53 thf(f1332,plain,(
% 0.23/0.53 ~spl76_17 | ~spl76_68),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1331])).
% 0.23/0.53 thf(f1331,plain,(
% 0.23/0.53 $false | (~spl76_17 | ~spl76_68)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1327,f305])).
% 0.23/0.53 thf(f1327,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $true)) ) | (~spl76_17 | ~spl76_68)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1325])).
% 0.23/0.53 thf(f1325,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $true) | ($true != $true)) ) | (~spl76_17 | ~spl76_68)),
% 0.23/0.53 inference(superposition,[],[f305,f527])).
% 0.23/0.53 thf(f1320,plain,(
% 0.23/0.53 ~spl76_74 | ~spl76_75),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1319])).
% 0.23/0.53 thf(f1319,plain,(
% 0.23/0.53 $false | (~spl76_74 | ~spl76_75)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1313])).
% 0.23/0.53 thf(f1313,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_74 | ~spl76_75)),
% 0.23/0.53 inference(superposition,[],[f556,f561])).
% 0.23/0.53 thf(f561,plain,(
% 0.23/0.53 ($true = (cS @ sK25)) | ~spl76_75),
% 0.23/0.53 inference(avatar_component_clause,[],[f559])).
% 0.23/0.53 thf(f559,plain,(
% 0.23/0.53 spl76_75 <=> ($true = (cS @ sK25))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_75])])).
% 0.23/0.53 thf(f556,plain,(
% 0.23/0.53 ($false = (cS @ sK25)) | ~spl76_74),
% 0.23/0.53 inference(avatar_component_clause,[],[f554])).
% 0.23/0.53 thf(f554,plain,(
% 0.23/0.53 spl76_74 <=> ($false = (cS @ sK25))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_74])])).
% 0.23/0.53 thf(f1307,plain,(
% 0.23/0.53 ~spl76_17 | ~spl76_23),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1306])).
% 0.23/0.53 thf(f1306,plain,(
% 0.23/0.53 $false | (~spl76_17 | ~spl76_23)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1305])).
% 0.23/0.53 thf(f1305,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_17 | ~spl76_23)),
% 0.23/0.53 inference(superposition,[],[f305,f328])).
% 0.23/0.53 thf(f328,plain,(
% 0.23/0.53 ((cS @ sK7) = $true) | ~spl76_23),
% 0.23/0.53 inference(avatar_component_clause,[],[f326])).
% 0.23/0.53 thf(f326,plain,(
% 0.23/0.53 spl76_23 <=> ((cS @ sK7) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_23])])).
% 0.23/0.53 thf(f1291,plain,(
% 0.23/0.53 ~spl76_17 | ~spl76_88),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1290])).
% 0.23/0.53 thf(f1290,plain,(
% 0.23/0.53 $false | (~spl76_17 | ~spl76_88)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1288])).
% 0.23/0.53 thf(f1288,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_17 | ~spl76_88)),
% 0.23/0.53 inference(superposition,[],[f305,f618])).
% 0.23/0.53 thf(f618,plain,(
% 0.23/0.53 ((cS @ sK60) = $true) | ~spl76_88),
% 0.23/0.53 inference(avatar_component_clause,[],[f616])).
% 0.23/0.53 thf(f616,plain,(
% 0.23/0.53 spl76_88 <=> ((cS @ sK60) = $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_88])])).
% 0.23/0.53 thf(f1285,plain,(
% 0.23/0.53 spl76_22 | ~spl76_25 | ~spl76_70),
% 0.23/0.53 inference(avatar_split_clause,[],[f1282,f534,f335,f323])).
% 0.23/0.53 thf(f1282,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $false)) ) | (~spl76_25 | ~spl76_70)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1281])).
% 0.23/0.53 thf(f1281,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cS @ X0) = $false)) ) | (~spl76_25 | ~spl76_70)),
% 0.23/0.53 inference(superposition,[],[f336,f535])).
% 0.23/0.53 thf(f1215,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_73),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1214])).
% 0.23/0.53 thf(f1214,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_73)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1211])).
% 0.23/0.53 thf(f1211,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_73)),
% 0.23/0.53 inference(superposition,[],[f344,f552])).
% 0.23/0.53 thf(f552,plain,(
% 0.23/0.53 ($true = (cP @ sK27)) | ~spl76_73),
% 0.23/0.53 inference(avatar_component_clause,[],[f550])).
% 0.23/0.53 thf(f550,plain,(
% 0.23/0.53 spl76_73 <=> ($true = (cP @ sK27))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_73])])).
% 0.23/0.53 thf(f1201,plain,(
% 0.23/0.53 ~spl76_17 | ~spl76_55),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1200])).
% 0.23/0.53 thf(f1200,plain,(
% 0.23/0.53 $false | (~spl76_17 | ~spl76_55)),
% 0.23/0.53 inference(subsumption_resolution,[],[f466,f305])).
% 0.23/0.53 thf(f466,plain,(
% 0.23/0.53 ($true = (cS @ sK53)) | ~spl76_55),
% 0.23/0.53 inference(avatar_component_clause,[],[f464])).
% 0.23/0.53 thf(f464,plain,(
% 0.23/0.53 spl76_55 <=> ($true = (cS @ sK53))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_55])])).
% 0.23/0.53 thf(f1199,plain,(
% 0.23/0.53 ~spl76_17 | ~spl76_58),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1198])).
% 0.23/0.53 thf(f1198,plain,(
% 0.23/0.53 $false | (~spl76_17 | ~spl76_58)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1197,f305])).
% 0.23/0.53 thf(f1197,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = (cS @ (sK4 @ X0)))) ) | (~spl76_17 | ~spl76_58)),
% 0.23/0.53 inference(subsumption_resolution,[],[f477,f305])).
% 0.23/0.53 thf(f477,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = (cS @ (sK4 @ X0))) | ((cS @ X0) = $true)) ) | ~spl76_58),
% 0.23/0.53 inference(avatar_component_clause,[],[f476])).
% 0.23/0.53 thf(f476,plain,(
% 0.23/0.53 spl76_58 <=> ! [X0] : (($true = (cS @ (sK4 @ X0))) | ((cS @ X0) = $true))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_58])])).
% 0.23/0.53 thf(f1196,plain,(
% 0.23/0.53 spl76_22 | ~spl76_25 | ~spl76_60),
% 0.23/0.53 inference(avatar_split_clause,[],[f1193,f484,f335,f323])).
% 0.23/0.53 thf(f484,plain,(
% 0.23/0.53 spl76_60 <=> ! [X0] : (((cS @ X0) = $false) | ((cS @ (sK4 @ X0)) = $false))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_60])])).
% 0.23/0.53 thf(f1193,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ X0) = $false)) ) | (~spl76_25 | ~spl76_60)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1191])).
% 0.23/0.53 thf(f1191,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (($true = $false) | ((cS @ X0) = $false)) ) | (~spl76_25 | ~spl76_60)),
% 0.23/0.53 inference(superposition,[],[f485,f336])).
% 0.23/0.53 thf(f485,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cS @ (sK4 @ X0)) = $false) | ((cS @ X0) = $false)) ) | ~spl76_60),
% 0.23/0.53 inference(avatar_component_clause,[],[f484])).
% 0.23/0.53 thf(f1173,plain,(
% 0.23/0.53 ~spl76_27 | ~spl76_94),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1172])).
% 0.23/0.53 thf(f1172,plain,(
% 0.23/0.53 $false | (~spl76_27 | ~spl76_94)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1165])).
% 0.23/0.53 thf(f1165,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_27 | ~spl76_94)),
% 0.23/0.53 inference(superposition,[],[f646,f344])).
% 0.23/0.53 thf(f646,plain,(
% 0.23/0.53 ($true = (cP @ sK6)) | ~spl76_94),
% 0.23/0.53 inference(avatar_component_clause,[],[f644])).
% 0.23/0.53 thf(f644,plain,(
% 0.23/0.53 spl76_94 <=> ($true = (cP @ sK6))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_94])])).
% 0.23/0.53 thf(f1159,plain,(
% 0.23/0.53 ~spl76_48 | ~spl76_50),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1158])).
% 0.23/0.53 thf(f1158,plain,(
% 0.23/0.53 $false | (~spl76_48 | ~spl76_50)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1155])).
% 0.23/0.53 thf(f1155,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_48 | ~spl76_50)),
% 0.23/0.53 inference(superposition,[],[f441,f432])).
% 0.23/0.53 thf(f432,plain,(
% 0.23/0.53 ($true = (cP @ sK46)) | ~spl76_48),
% 0.23/0.53 inference(avatar_component_clause,[],[f430])).
% 0.23/0.53 thf(f430,plain,(
% 0.23/0.53 spl76_48 <=> ($true = (cP @ sK46))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_48])])).
% 0.23/0.53 thf(f441,plain,(
% 0.23/0.53 ((cP @ sK46) = $false) | ~spl76_50),
% 0.23/0.53 inference(avatar_component_clause,[],[f439])).
% 0.23/0.53 thf(f439,plain,(
% 0.23/0.53 spl76_50 <=> ((cP @ sK46) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_50])])).
% 0.23/0.53 thf(f1145,plain,(
% 0.23/0.53 ~spl76_31 | ~spl76_79),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1144])).
% 0.23/0.53 thf(f1144,plain,(
% 0.23/0.53 $false | (~spl76_31 | ~spl76_79)),
% 0.23/0.53 inference(subsumption_resolution,[],[f1143,f361])).
% 0.23/0.53 thf(f361,plain,(
% 0.23/0.53 ( ! [X21 : $i] : (((cR @ X21) != $true)) ) | ~spl76_31),
% 0.23/0.53 inference(avatar_component_clause,[],[f360])).
% 0.23/0.53 thf(f360,plain,(
% 0.23/0.53 spl76_31 <=> ! [X21] : ((cR @ X21) != $true)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_31])])).
% 0.23/0.53 thf(f1143,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cR @ X0) = $true)) ) | (~spl76_31 | ~spl76_79)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1142])).
% 0.23/0.53 thf(f1142,plain,(
% 0.23/0.53 ( ! [X0 : $i] : (((cR @ X0) = $true) | ($true != $true)) ) | (~spl76_31 | ~spl76_79)),
% 0.23/0.53 inference(superposition,[],[f361,f581])).
% 0.23/0.53 thf(f581,plain,(
% 0.23/0.53 ( ! [X22 : $i] : (($true = (cR @ (sK63 @ X22))) | ($true = (cR @ X22))) ) | ~spl76_79),
% 0.23/0.53 inference(avatar_component_clause,[],[f580])).
% 0.23/0.53 thf(f580,plain,(
% 0.23/0.53 spl76_79 <=> ! [X22] : (($true = (cR @ X22)) | ($true = (cR @ (sK63 @ X22))))),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_79])])).
% 0.23/0.53 thf(f1108,plain,(
% 0.23/0.53 ~spl76_25 | spl76_106),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1107])).
% 0.23/0.53 thf(f1107,plain,(
% 0.23/0.53 $false | (~spl76_25 | spl76_106)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1106])).
% 0.23/0.53 thf(f1106,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_25 | spl76_106)),
% 0.23/0.53 inference(superposition,[],[f710,f336])).
% 0.23/0.53 thf(f710,plain,(
% 0.23/0.53 ($true != (cS @ sK13)) | spl76_106),
% 0.23/0.53 inference(avatar_component_clause,[],[f709])).
% 0.23/0.53 thf(f1104,plain,(
% 0.23/0.53 ~spl76_31 | ~spl76_100),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1103])).
% 0.23/0.53 thf(f1103,plain,(
% 0.23/0.53 $false | (~spl76_31 | ~spl76_100)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1100])).
% 0.23/0.53 thf(f1100,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_31 | ~spl76_100)),
% 0.23/0.53 inference(superposition,[],[f361,f679])).
% 0.23/0.53 thf(f679,plain,(
% 0.23/0.53 ($true = (cR @ sK75)) | ~spl76_100),
% 0.23/0.53 inference(avatar_component_clause,[],[f677])).
% 0.23/0.53 thf(f1102,plain,(
% 0.23/0.53 ~spl76_31 | ~spl76_87),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1101])).
% 0.23/0.53 thf(f1101,plain,(
% 0.23/0.53 $false | (~spl76_31 | ~spl76_87)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1099])).
% 0.23/0.53 thf(f1099,plain,(
% 0.23/0.53 ($true != $true) | (~spl76_31 | ~spl76_87)),
% 0.23/0.53 inference(superposition,[],[f361,f614])).
% 0.23/0.53 thf(f614,plain,(
% 0.23/0.53 ($true = (cR @ sK58)) | ~spl76_87),
% 0.23/0.53 inference(avatar_component_clause,[],[f612])).
% 0.23/0.53 thf(f1080,plain,(
% 0.23/0.53 ~spl76_23 | ~spl76_24),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1079])).
% 0.23/0.53 thf(f1079,plain,(
% 0.23/0.53 $false | (~spl76_23 | ~spl76_24)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1076])).
% 0.23/0.53 thf(f1076,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_23 | ~spl76_24)),
% 0.23/0.53 inference(superposition,[],[f328,f333])).
% 0.23/0.53 thf(f333,plain,(
% 0.23/0.53 ((cS @ sK7) = $false) | ~spl76_24),
% 0.23/0.53 inference(avatar_component_clause,[],[f331])).
% 0.23/0.53 thf(f331,plain,(
% 0.23/0.53 spl76_24 <=> ((cS @ sK7) = $false)),
% 0.23/0.53 introduced(avatar_definition,[new_symbols(naming,[spl76_24])])).
% 0.23/0.53 thf(f1074,plain,(
% 0.23/0.53 ~spl76_22 | ~spl76_88),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1073])).
% 0.23/0.53 thf(f1073,plain,(
% 0.23/0.53 $false | (~spl76_22 | ~spl76_88)),
% 0.23/0.53 inference(trivial_inequality_removal,[],[f1069])).
% 0.23/0.53 thf(f1069,plain,(
% 0.23/0.53 ($true = $false) | (~spl76_22 | ~spl76_88)),
% 0.23/0.53 inference(superposition,[],[f618,f324])).
% 0.23/0.53 thf(f1068,plain,(
% 0.23/0.53 ~spl76_87 | ~spl76_89),
% 0.23/0.53 inference(avatar_contradiction_clause,[],[f1067])).
% 0.23/0.53 thf(f1067,plain,(
% 0.23/0.54 $false | (~spl76_87 | ~spl76_89)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f1063])).
% 0.23/0.54 thf(f1063,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_87 | ~spl76_89)),
% 0.23/0.54 inference(superposition,[],[f623,f614])).
% 0.23/0.54 thf(f623,plain,(
% 0.23/0.54 ((cR @ sK58) = $false) | ~spl76_89),
% 0.23/0.54 inference(avatar_component_clause,[],[f621])).
% 0.23/0.54 thf(f621,plain,(
% 0.23/0.54 spl76_89 <=> ((cR @ sK58) = $false)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_89])])).
% 0.23/0.54 thf(f1060,plain,(
% 0.23/0.54 spl76_25 | ~spl76_22 | ~spl76_37),
% 0.23/0.54 inference(avatar_split_clause,[],[f1051,f384,f323,f335])).
% 0.23/0.54 thf(f384,plain,(
% 0.23/0.54 spl76_37 <=> ! [X24] : (($true = (cS @ (sK16 @ X24))) | ($true = (cS @ X24)))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_37])])).
% 0.23/0.54 thf(f1051,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $true)) ) | (~spl76_22 | ~spl76_37)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f1049])).
% 0.23/0.54 thf(f1049,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $true) | ($true = $false)) ) | (~spl76_22 | ~spl76_37)),
% 0.23/0.54 inference(superposition,[],[f324,f385])).
% 0.23/0.54 thf(f385,plain,(
% 0.23/0.54 ( ! [X24 : $i] : (($true = (cS @ (sK16 @ X24))) | ($true = (cS @ X24))) ) | ~spl76_37),
% 0.23/0.54 inference(avatar_component_clause,[],[f384])).
% 0.23/0.54 thf(f1054,plain,(
% 0.23/0.54 ~spl76_17 | ~spl76_37),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f1053])).
% 0.23/0.54 thf(f1053,plain,(
% 0.23/0.54 $false | (~spl76_17 | ~spl76_37)),
% 0.23/0.54 inference(subsumption_resolution,[],[f1052,f305])).
% 0.23/0.54 thf(f1052,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $true)) ) | (~spl76_17 | ~spl76_37)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f1048])).
% 0.23/0.54 thf(f1048,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $true) | ($true != $true)) ) | (~spl76_17 | ~spl76_37)),
% 0.23/0.54 inference(superposition,[],[f305,f385])).
% 0.23/0.54 thf(f1036,plain,(
% 0.23/0.54 ~spl76_10 | ~spl76_17),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f1035])).
% 0.23/0.54 thf(f1035,plain,(
% 0.23/0.54 $false | (~spl76_10 | ~spl76_17)),
% 0.23/0.54 inference(subsumption_resolution,[],[f1031,f305])).
% 0.23/0.54 thf(f1031,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $true)) ) | (~spl76_10 | ~spl76_17)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f1028])).
% 0.23/0.54 thf(f1028,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $true) | ($true != $true)) ) | (~spl76_10 | ~spl76_17)),
% 0.23/0.54 inference(superposition,[],[f305,f279])).
% 0.23/0.54 thf(f989,plain,(
% 0.23/0.54 ~spl76_22 | ~spl76_106),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f988])).
% 0.23/0.54 thf(f988,plain,(
% 0.23/0.54 $false | (~spl76_22 | ~spl76_106)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f983])).
% 0.23/0.54 thf(f983,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_22 | ~spl76_106)),
% 0.23/0.54 inference(superposition,[],[f324,f711])).
% 0.23/0.54 thf(f985,plain,(
% 0.23/0.54 ~spl76_17 | ~spl76_106),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f984])).
% 0.23/0.54 thf(f984,plain,(
% 0.23/0.54 $false | (~spl76_17 | ~spl76_106)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f982])).
% 0.23/0.54 thf(f982,plain,(
% 0.23/0.54 ($true != $true) | (~spl76_17 | ~spl76_106)),
% 0.23/0.54 inference(superposition,[],[f305,f711])).
% 0.23/0.54 thf(f979,plain,(
% 0.23/0.54 ~spl76_27 | ~spl76_103),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f978])).
% 0.23/0.54 thf(f978,plain,(
% 0.23/0.54 $false | (~spl76_27 | ~spl76_103)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f975])).
% 0.23/0.54 thf(f975,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_27 | ~spl76_103)),
% 0.23/0.54 inference(superposition,[],[f344,f696])).
% 0.23/0.54 thf(f696,plain,(
% 0.23/0.54 ($true = (cP @ sK18)) | ~spl76_103),
% 0.23/0.54 inference(avatar_component_clause,[],[f694])).
% 0.23/0.54 thf(f694,plain,(
% 0.23/0.54 spl76_103 <=> ($true = (cP @ sK18))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_103])])).
% 0.23/0.54 thf(f942,plain,(
% 0.23/0.54 ~spl76_26 | ~spl76_30),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f941])).
% 0.23/0.54 thf(f941,plain,(
% 0.23/0.54 $false | (~spl76_26 | ~spl76_30)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f937])).
% 0.23/0.54 thf(f937,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_26 | ~spl76_30)),
% 0.23/0.54 inference(superposition,[],[f357,f341])).
% 0.23/0.54 thf(f341,plain,(
% 0.23/0.54 ((cP @ sK33) = $true) | ~spl76_26),
% 0.23/0.54 inference(avatar_component_clause,[],[f339])).
% 0.23/0.54 thf(f339,plain,(
% 0.23/0.54 spl76_26 <=> ((cP @ sK33) = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_26])])).
% 0.23/0.54 thf(f357,plain,(
% 0.23/0.54 ((cP @ sK33) = $false) | ~spl76_30),
% 0.23/0.54 inference(avatar_component_clause,[],[f355])).
% 0.23/0.54 thf(f355,plain,(
% 0.23/0.54 spl76_30 <=> ((cP @ sK33) = $false)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_30])])).
% 0.23/0.54 thf(f934,plain,(
% 0.23/0.54 ~spl76_18 | ~spl76_100),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f933])).
% 0.23/0.54 thf(f933,plain,(
% 0.23/0.54 $false | (~spl76_18 | ~spl76_100)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f929])).
% 0.23/0.54 thf(f929,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_18 | ~spl76_100)),
% 0.23/0.54 inference(superposition,[],[f679,f308])).
% 0.23/0.54 thf(f921,plain,(
% 0.23/0.54 ~spl76_22 | ~spl76_99),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f920])).
% 0.23/0.54 thf(f920,plain,(
% 0.23/0.54 $false | (~spl76_22 | ~spl76_99)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f916])).
% 0.23/0.54 thf(f916,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_22 | ~spl76_99)),
% 0.23/0.54 inference(superposition,[],[f673,f324])).
% 0.23/0.54 thf(f673,plain,(
% 0.23/0.54 ($true = (cS @ sK55)) | ~spl76_99),
% 0.23/0.54 inference(avatar_component_clause,[],[f671])).
% 0.23/0.54 thf(f671,plain,(
% 0.23/0.54 spl76_99 <=> ($true = (cS @ sK55))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_99])])).
% 0.23/0.54 thf(f911,plain,(
% 0.23/0.54 ~spl76_22 | ~spl76_55),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f910])).
% 0.23/0.54 thf(f910,plain,(
% 0.23/0.54 $false | (~spl76_22 | ~spl76_55)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f901])).
% 0.23/0.54 thf(f901,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_22 | ~spl76_55)),
% 0.23/0.54 inference(superposition,[],[f466,f324])).
% 0.23/0.54 thf(f898,plain,(
% 0.23/0.54 ~spl76_76 | ~spl76_77),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f897])).
% 0.23/0.54 thf(f897,plain,(
% 0.23/0.54 $false | (~spl76_76 | ~spl76_77)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f894])).
% 0.23/0.54 thf(f894,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_76 | ~spl76_77)),
% 0.23/0.54 inference(superposition,[],[f566,f571])).
% 0.23/0.54 thf(f571,plain,(
% 0.23/0.54 ($true = (cS @ sK19)) | ~spl76_77),
% 0.23/0.54 inference(avatar_component_clause,[],[f569])).
% 0.23/0.54 thf(f569,plain,(
% 0.23/0.54 spl76_77 <=> ($true = (cS @ sK19))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_77])])).
% 0.23/0.54 thf(f566,plain,(
% 0.23/0.54 ((cS @ sK19) = $false) | ~spl76_76),
% 0.23/0.54 inference(avatar_component_clause,[],[f564])).
% 0.23/0.54 thf(f564,plain,(
% 0.23/0.54 spl76_76 <=> ((cS @ sK19) = $false)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_76])])).
% 0.23/0.54 thf(f891,plain,(
% 0.23/0.54 ~spl76_33 | ~spl76_35),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f890])).
% 0.23/0.54 thf(f890,plain,(
% 0.23/0.54 $false | (~spl76_33 | ~spl76_35)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f887])).
% 0.23/0.54 thf(f887,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_33 | ~spl76_35)),
% 0.23/0.54 inference(superposition,[],[f369,f377])).
% 0.23/0.54 thf(f377,plain,(
% 0.23/0.54 ($true = (cQ @ sK73)) | ~spl76_35),
% 0.23/0.54 inference(avatar_component_clause,[],[f375])).
% 0.23/0.54 thf(f375,plain,(
% 0.23/0.54 spl76_35 <=> ($true = (cQ @ sK73))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_35])])).
% 0.23/0.54 thf(f369,plain,(
% 0.23/0.54 ((cQ @ sK73) = $false) | ~spl76_33),
% 0.23/0.54 inference(avatar_component_clause,[],[f367])).
% 0.23/0.54 thf(f367,plain,(
% 0.23/0.54 spl76_33 <=> ((cQ @ sK73) = $false)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_33])])).
% 0.23/0.54 thf(f885,plain,(
% 0.23/0.54 ~spl76_34 | ~spl76_66),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f884])).
% 0.23/0.54 thf(f884,plain,(
% 0.23/0.54 $false | (~spl76_34 | ~spl76_66)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f881])).
% 0.23/0.54 thf(f881,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_34 | ~spl76_66)),
% 0.23/0.54 inference(superposition,[],[f373,f518])).
% 0.23/0.54 thf(f518,plain,(
% 0.23/0.54 ($true = (cQ @ sK29)) | ~spl76_66),
% 0.23/0.54 inference(avatar_component_clause,[],[f516])).
% 0.23/0.54 thf(f516,plain,(
% 0.23/0.54 spl76_66 <=> ($true = (cQ @ sK29))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_66])])).
% 0.23/0.54 thf(f874,plain,(
% 0.23/0.54 ~spl76_6 | ~spl76_12),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f873])).
% 0.23/0.54 thf(f873,plain,(
% 0.23/0.54 $false | (~spl76_6 | ~spl76_12)),
% 0.23/0.54 inference(subsumption_resolution,[],[f265,f287])).
% 0.23/0.54 thf(f872,plain,(
% 0.23/0.54 spl76_27 | ~spl76_19 | ~spl76_41),
% 0.23/0.54 inference(avatar_split_clause,[],[f869,f400,f310,f343])).
% 0.23/0.54 thf(f400,plain,(
% 0.23/0.54 spl76_41 <=> ! [X4] : (((cP @ X4) = $false) | ($false = (cP @ (sK30 @ X4))))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_41])])).
% 0.23/0.54 thf(f869,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cP @ X0) = $false)) ) | (~spl76_19 | ~spl76_41)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f868])).
% 0.23/0.54 thf(f868,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (($true = $false) | ((cP @ X0) = $false)) ) | (~spl76_19 | ~spl76_41)),
% 0.23/0.54 inference(superposition,[],[f311,f401])).
% 0.23/0.54 thf(f401,plain,(
% 0.23/0.54 ( ! [X4 : $i] : (($false = (cP @ (sK30 @ X4))) | ((cP @ X4) = $false)) ) | ~spl76_41),
% 0.23/0.54 inference(avatar_component_clause,[],[f400])).
% 0.23/0.54 thf(f859,plain,(
% 0.23/0.54 spl76_22 | ~spl76_25 | ~spl76_38),
% 0.23/0.54 inference(avatar_split_clause,[],[f856,f388,f335,f323])).
% 0.23/0.54 thf(f388,plain,(
% 0.23/0.54 spl76_38 <=> ! [X24] : (((cS @ X24) = $false) | ((cS @ (sK16 @ X24)) = $false))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_38])])).
% 0.23/0.54 thf(f856,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $false)) ) | (~spl76_25 | ~spl76_38)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f854])).
% 0.23/0.54 thf(f854,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (($true = $false) | ((cS @ X0) = $false)) ) | (~spl76_25 | ~spl76_38)),
% 0.23/0.54 inference(superposition,[],[f389,f336])).
% 0.23/0.54 thf(f389,plain,(
% 0.23/0.54 ( ! [X24 : $i] : (((cS @ (sK16 @ X24)) = $false) | ((cS @ X24) = $false)) ) | ~spl76_38),
% 0.23/0.54 inference(avatar_component_clause,[],[f388])).
% 0.23/0.54 thf(f853,plain,(
% 0.23/0.54 spl76_27 | ~spl76_16 | ~spl76_19),
% 0.23/0.54 inference(avatar_split_clause,[],[f850,f310,f300,f343])).
% 0.23/0.54 thf(f300,plain,(
% 0.23/0.54 spl76_16 <=> ! [X46] : (((cP @ X46) = $false) | ($false = (cP @ (sK51 @ X46))))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_16])])).
% 0.23/0.54 thf(f850,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cP @ X0) = $false)) ) | (~spl76_16 | ~spl76_19)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f848])).
% 0.23/0.54 thf(f848,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (($true = $false) | ((cP @ X0) = $false)) ) | (~spl76_16 | ~spl76_19)),
% 0.23/0.54 inference(superposition,[],[f301,f311])).
% 0.23/0.54 thf(f301,plain,(
% 0.23/0.54 ( ! [X46 : $i] : (($false = (cP @ (sK51 @ X46))) | ((cP @ X46) = $false)) ) | ~spl76_16),
% 0.23/0.54 inference(avatar_component_clause,[],[f300])).
% 0.23/0.54 thf(f847,plain,(
% 0.23/0.54 spl76_22 | ~spl76_11 | ~spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f844,f335,f282,f323])).
% 0.23/0.54 thf(f282,plain,(
% 0.23/0.54 spl76_11 <=> ! [X16] : (($false = (cS @ X16)) | ((cS @ (sK12 @ X16)) = $false))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_11])])).
% 0.23/0.54 thf(f844,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $false)) ) | (~spl76_11 | ~spl76_25)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f842])).
% 0.23/0.54 thf(f842,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cS @ X0) = $false) | ($true = $false)) ) | (~spl76_11 | ~spl76_25)),
% 0.23/0.54 inference(superposition,[],[f283,f336])).
% 0.23/0.54 thf(f283,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (((cS @ (sK12 @ X16)) = $false) | ($false = (cS @ X16))) ) | ~spl76_11),
% 0.23/0.54 inference(avatar_component_clause,[],[f282])).
% 0.23/0.54 thf(f841,plain,(
% 0.23/0.54 spl76_6 | ~spl76_1 | ~spl76_34),
% 0.23/0.54 inference(avatar_split_clause,[],[f838,f372,f244,f264])).
% 0.23/0.54 thf(f244,plain,(
% 0.23/0.54 spl76_1 <=> ! [X16] : (($true = (cQ @ (sK72 @ X16))) | ((cQ @ X16) = $true))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_1])])).
% 0.23/0.54 thf(f838,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cQ @ X0) = $true)) ) | (~spl76_1 | ~spl76_34)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f837])).
% 0.23/0.54 thf(f837,plain,(
% 0.23/0.54 ( ! [X0 : $i] : (((cQ @ X0) = $true) | ($true = $false)) ) | (~spl76_1 | ~spl76_34)),
% 0.23/0.54 inference(superposition,[],[f373,f245])).
% 0.23/0.54 thf(f245,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (($true = (cQ @ (sK72 @ X16))) | ((cQ @ X16) = $true)) ) | ~spl76_1),
% 0.23/0.54 inference(avatar_component_clause,[],[f244])).
% 0.23/0.54 thf(f833,plain,(
% 0.23/0.54 ~spl76_19 | spl76_102),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f832])).
% 0.23/0.54 thf(f832,plain,(
% 0.23/0.54 $false | (~spl76_19 | spl76_102)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f831])).
% 0.23/0.54 thf(f831,plain,(
% 0.23/0.54 ($true != $true) | (~spl76_19 | spl76_102)),
% 0.23/0.54 inference(superposition,[],[f689,f311])).
% 0.23/0.54 thf(f689,plain,(
% 0.23/0.54 ((cP @ sK62) != $true) | spl76_102),
% 0.23/0.54 inference(avatar_component_clause,[],[f687])).
% 0.23/0.54 thf(f687,plain,(
% 0.23/0.54 spl76_102 <=> ((cP @ sK62) = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_102])])).
% 0.23/0.54 thf(f829,plain,(
% 0.23/0.54 ~spl76_34 | ~spl76_49),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f828])).
% 0.23/0.54 thf(f828,plain,(
% 0.23/0.54 $false | (~spl76_34 | ~spl76_49)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f820])).
% 0.23/0.54 thf(f820,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_34 | ~spl76_49)),
% 0.23/0.54 inference(superposition,[],[f373,f436])).
% 0.23/0.54 thf(f436,plain,(
% 0.23/0.54 ($true = (cQ @ sK48)) | ~spl76_49),
% 0.23/0.54 inference(avatar_component_clause,[],[f434])).
% 0.23/0.54 thf(f434,plain,(
% 0.23/0.54 spl76_49 <=> ($true = (cQ @ sK48))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_49])])).
% 0.23/0.54 thf(f819,plain,(
% 0.23/0.54 ~spl76_31 | ~spl76_56),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f818])).
% 0.23/0.54 thf(f818,plain,(
% 0.23/0.54 $false | (~spl76_31 | ~spl76_56)),
% 0.23/0.54 inference(subsumption_resolution,[],[f817,f361])).
% 0.23/0.54 thf(f817,plain,(
% 0.23/0.54 ( ! [X4 : $i] : (($true = (cR @ (sK54 @ X4)))) ) | (~spl76_31 | ~spl76_56)),
% 0.23/0.54 inference(subsumption_resolution,[],[f469,f361])).
% 0.23/0.54 thf(f469,plain,(
% 0.23/0.54 ( ! [X4 : $i] : (($true = (cR @ (sK54 @ X4))) | ($true = (cR @ X4))) ) | ~spl76_56),
% 0.23/0.54 inference(avatar_component_clause,[],[f468])).
% 0.23/0.54 thf(f468,plain,(
% 0.23/0.54 spl76_56 <=> ! [X4] : (($true = (cR @ (sK54 @ X4))) | ($true = (cR @ X4)))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_56])])).
% 0.23/0.54 thf(f816,plain,(
% 0.23/0.54 ~spl76_19 | spl76_78),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f815])).
% 0.23/0.54 thf(f815,plain,(
% 0.23/0.54 $false | (~spl76_19 | spl76_78)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f814])).
% 0.23/0.54 thf(f814,plain,(
% 0.23/0.54 ($true != $true) | (~spl76_19 | spl76_78)),
% 0.23/0.54 inference(superposition,[],[f576,f311])).
% 0.23/0.54 thf(f576,plain,(
% 0.23/0.54 ($true != (cP @ sK52)) | spl76_78),
% 0.23/0.54 inference(avatar_component_clause,[],[f574])).
% 0.23/0.54 thf(f574,plain,(
% 0.23/0.54 spl76_78 <=> ($true = (cP @ sK52))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_78])])).
% 0.23/0.54 thf(f813,plain,(
% 0.23/0.54 ~spl76_1 | ~spl76_12),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f812])).
% 0.23/0.54 thf(f812,plain,(
% 0.23/0.54 $false | (~spl76_1 | ~spl76_12)),
% 0.23/0.54 inference(subsumption_resolution,[],[f811,f287])).
% 0.23/0.54 thf(f811,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (((cQ @ X16) = $true)) ) | (~spl76_1 | ~spl76_12)),
% 0.23/0.54 inference(subsumption_resolution,[],[f245,f287])).
% 0.23/0.54 thf(f810,plain,(
% 0.23/0.54 ~spl76_3 | ~spl76_31),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f809])).
% 0.23/0.54 thf(f809,plain,(
% 0.23/0.54 $false | (~spl76_3 | ~spl76_31)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f807])).
% 0.23/0.54 thf(f807,plain,(
% 0.23/0.54 ($true != $true) | (~spl76_3 | ~spl76_31)),
% 0.23/0.54 inference(superposition,[],[f361,f253])).
% 0.23/0.54 thf(f253,plain,(
% 0.23/0.54 ((cR @ sK70) = $true) | ~spl76_3),
% 0.23/0.54 inference(avatar_component_clause,[],[f251])).
% 0.23/0.54 thf(f806,plain,(
% 0.23/0.54 ~spl76_25 | spl76_32),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f805])).
% 0.23/0.54 thf(f805,plain,(
% 0.23/0.54 $false | (~spl76_25 | spl76_32)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f804])).
% 0.23/0.54 thf(f804,plain,(
% 0.23/0.54 ($true != $true) | (~spl76_25 | spl76_32)),
% 0.23/0.54 inference(superposition,[],[f365,f336])).
% 0.23/0.54 thf(f365,plain,(
% 0.23/0.54 ($true != (cS @ sK74)) | spl76_32),
% 0.23/0.54 inference(avatar_component_clause,[],[f363])).
% 0.23/0.54 thf(f363,plain,(
% 0.23/0.54 spl76_32 <=> ($true = (cS @ sK74))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_32])])).
% 0.23/0.54 thf(f796,plain,(
% 0.23/0.54 ~spl76_19 | spl76_98),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f795])).
% 0.23/0.54 thf(f795,plain,(
% 0.23/0.54 $false | (~spl76_19 | spl76_98)),
% 0.23/0.54 inference(subsumption_resolution,[],[f669,f311])).
% 0.23/0.54 thf(f669,plain,(
% 0.23/0.54 ($true != (cP @ sK56)) | spl76_98),
% 0.23/0.54 inference(avatar_component_clause,[],[f667])).
% 0.23/0.54 thf(f667,plain,(
% 0.23/0.54 spl76_98 <=> ($true = (cP @ sK56))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_98])])).
% 0.23/0.54 thf(f794,plain,(
% 0.23/0.54 ~spl76_20 | ~spl76_21),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f793])).
% 0.23/0.54 thf(f793,plain,(
% 0.23/0.54 $false | (~spl76_20 | ~spl76_21)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f789])).
% 0.23/0.54 thf(f789,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_20 | ~spl76_21)),
% 0.23/0.54 inference(superposition,[],[f320,f315])).
% 0.23/0.54 thf(f315,plain,(
% 0.23/0.54 ($true = (cR @ sK57)) | ~spl76_20),
% 0.23/0.54 inference(avatar_component_clause,[],[f313])).
% 0.23/0.54 thf(f313,plain,(
% 0.23/0.54 spl76_20 <=> ($true = (cR @ sK57))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_20])])).
% 0.23/0.54 thf(f320,plain,(
% 0.23/0.54 ((cR @ sK57) = $false) | ~spl76_21),
% 0.23/0.54 inference(avatar_component_clause,[],[f318])).
% 0.23/0.54 thf(f318,plain,(
% 0.23/0.54 spl76_21 <=> ((cR @ sK57) = $false)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_21])])).
% 0.23/0.54 thf(f788,plain,(
% 0.23/0.54 ~spl76_3 | ~spl76_18),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f787])).
% 0.23/0.54 thf(f787,plain,(
% 0.23/0.54 $false | (~spl76_3 | ~spl76_18)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f783])).
% 0.23/0.54 thf(f783,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_3 | ~spl76_18)),
% 0.23/0.54 inference(superposition,[],[f253,f308])).
% 0.23/0.54 thf(f782,plain,(
% 0.23/0.54 ~spl76_7 | ~spl76_39),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f781])).
% 0.23/0.54 thf(f781,plain,(
% 0.23/0.54 $false | (~spl76_7 | ~spl76_39)),
% 0.23/0.54 inference(subsumption_resolution,[],[f780,f268])).
% 0.23/0.54 thf(f780,plain,(
% 0.23/0.54 ( ! [X4 : $i] : (($true = (cP @ (sK30 @ X4)))) ) | (~spl76_7 | ~spl76_39)),
% 0.23/0.54 inference(subsumption_resolution,[],[f393,f268])).
% 0.23/0.54 thf(f393,plain,(
% 0.23/0.54 ( ! [X4 : $i] : (($true = (cP @ (sK30 @ X4))) | ($true = (cP @ X4))) ) | ~spl76_39),
% 0.23/0.54 inference(avatar_component_clause,[],[f392])).
% 0.23/0.54 thf(f392,plain,(
% 0.23/0.54 spl76_39 <=> ! [X4] : (($true = (cP @ X4)) | ($true = (cP @ (sK30 @ X4))))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_39])])).
% 0.23/0.54 thf(f779,plain,(
% 0.23/0.54 ~spl76_22 | ~spl76_25),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f778])).
% 0.23/0.54 thf(f778,plain,(
% 0.23/0.54 $false | (~spl76_22 | ~spl76_25)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f773])).
% 0.23/0.54 thf(f773,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_22 | ~spl76_25)),
% 0.23/0.54 inference(superposition,[],[f324,f336])).
% 0.23/0.54 thf(f775,plain,(
% 0.23/0.54 spl76_4 | ~spl76_25),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f774])).
% 0.23/0.54 thf(f774,plain,(
% 0.23/0.54 $false | (spl76_4 | ~spl76_25)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f772])).
% 0.23/0.54 thf(f772,plain,(
% 0.23/0.54 ($true != $true) | (spl76_4 | ~spl76_25)),
% 0.23/0.54 inference(superposition,[],[f257,f336])).
% 0.23/0.54 thf(f257,plain,(
% 0.23/0.54 ((cS @ sK71) != $true) | spl76_4),
% 0.23/0.54 inference(avatar_component_clause,[],[f255])).
% 0.23/0.54 thf(f255,plain,(
% 0.23/0.54 spl76_4 <=> ((cS @ sK71) = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_4])])).
% 0.23/0.54 thf(f769,plain,(
% 0.23/0.54 ~spl76_7 | ~spl76_14),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f768])).
% 0.23/0.54 thf(f768,plain,(
% 0.23/0.54 $false | (~spl76_7 | ~spl76_14)),
% 0.23/0.54 inference(subsumption_resolution,[],[f767,f268])).
% 0.23/0.54 thf(f767,plain,(
% 0.23/0.54 ( ! [X46 : $i] : (($true = (cP @ (sK51 @ X46)))) ) | (~spl76_7 | ~spl76_14)),
% 0.23/0.54 inference(subsumption_resolution,[],[f294,f268])).
% 0.23/0.54 thf(f294,plain,(
% 0.23/0.54 ( ! [X46 : $i] : (($true = (cP @ (sK51 @ X46))) | ($true = (cP @ X46))) ) | ~spl76_14),
% 0.23/0.54 inference(avatar_component_clause,[],[f293])).
% 0.23/0.54 thf(f293,plain,(
% 0.23/0.54 spl76_14 <=> ! [X46] : (($true = (cP @ (sK51 @ X46))) | ($true = (cP @ X46)))),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_14])])).
% 0.23/0.54 thf(f766,plain,(
% 0.23/0.54 ~spl76_6 | spl76_71),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f765])).
% 0.23/0.54 thf(f765,plain,(
% 0.23/0.54 $false | (~spl76_6 | spl76_71)),
% 0.23/0.54 inference(subsumption_resolution,[],[f540,f265])).
% 0.23/0.54 thf(f540,plain,(
% 0.23/0.54 ((cQ @ sK9) != $true) | spl76_71),
% 0.23/0.54 inference(avatar_component_clause,[],[f538])).
% 0.23/0.54 thf(f538,plain,(
% 0.23/0.54 spl76_71 <=> ((cQ @ sK9) = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_71])])).
% 0.23/0.54 thf(f764,plain,(
% 0.23/0.54 ~spl76_19 | spl76_97),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f763])).
% 0.23/0.54 thf(f763,plain,(
% 0.23/0.54 $false | (~spl76_19 | spl76_97)),
% 0.23/0.54 inference(subsumption_resolution,[],[f663,f311])).
% 0.23/0.54 thf(f663,plain,(
% 0.23/0.54 ((cP @ sK59) != $true) | spl76_97),
% 0.23/0.54 inference(avatar_component_clause,[],[f661])).
% 0.23/0.54 thf(f661,plain,(
% 0.23/0.54 spl76_97 <=> ((cP @ sK59) = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_97])])).
% 0.23/0.54 thf(f762,plain,(
% 0.23/0.54 ~spl76_6 | spl76_59),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f761])).
% 0.23/0.54 thf(f761,plain,(
% 0.23/0.54 $false | (~spl76_6 | spl76_59)),
% 0.23/0.54 inference(subsumption_resolution,[],[f481,f265])).
% 0.23/0.54 thf(f481,plain,(
% 0.23/0.54 ((cQ @ sK5) != $true) | spl76_59),
% 0.23/0.54 inference(avatar_component_clause,[],[f479])).
% 0.23/0.54 thf(f479,plain,(
% 0.23/0.54 spl76_59 <=> ((cQ @ sK5) = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_59])])).
% 0.23/0.54 thf(f760,plain,(
% 0.23/0.54 ~spl76_15 | ~spl76_18),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f759])).
% 0.23/0.54 thf(f759,plain,(
% 0.23/0.54 $false | (~spl76_15 | ~spl76_18)),
% 0.23/0.54 inference(trivial_inequality_removal,[],[f755])).
% 0.23/0.54 thf(f755,plain,(
% 0.23/0.54 ($true = $false) | (~spl76_15 | ~spl76_18)),
% 0.23/0.54 inference(superposition,[],[f308,f297])).
% 0.23/0.54 thf(f754,plain,(
% 0.23/0.54 ~spl76_17 | ~spl76_25),
% 0.23/0.54 inference(avatar_contradiction_clause,[],[f753])).
% 0.23/0.54 thf(f753,plain,(
% 0.23/0.54 $false | (~spl76_17 | ~spl76_25)),
% 0.23/0.54 inference(subsumption_resolution,[],[f336,f305])).
% 0.23/0.54 thf(f752,plain,(
% 0.23/0.54 spl76_77 | ~spl76_111 | spl76_22 | spl76_8 | ~spl76_9 | spl76_112),
% 0.23/0.54 inference(avatar_split_clause,[],[f148,f748,f274,f270,f323,f744,f569])).
% 0.23/0.54 thf(f270,plain,(
% 0.23/0.54 spl76_8 <=> ($true = sP1)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_8])])).
% 0.23/0.54 thf(f274,plain,(
% 0.23/0.54 spl76_9 <=> ($true = sP3)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_9])])).
% 0.23/0.54 thf(f148,plain,(
% 0.23/0.54 ( ! [X31 : $i] : (((cP @ sK20) = $true) | ($true = sP1) | ($true = (cS @ sK19)) | ($true != sP3) | ((cS @ X31) = $false) | ($true != (cQ @ sK21))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f101])).
% 0.23/0.54 thf(f101,plain,(
% 0.23/0.54 ( ! [X31 : $i] : (($true != sP3) | ($true = sP1) | ((cS @ X31) = (cS @ sK19)) | ((cP @ sK20) = $true) | ($true != (cQ @ sK21))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f38,plain,(
% 0.23/0.54 (($true = sP3) | ((((! [X0] : ((cS @ X0) != (cS @ (sK4 @ X0))) | ((! [X2] : ((cP @ X2) != $true) | ((cQ @ sK5) != $true)) & (($true = (cP @ sK6)) | ! [X5] : ($true = (cQ @ X5))))) & (! [X7] : ((cS @ sK7) = (cS @ X7)) | ((! [X8] : ($true = (cQ @ X8)) | ! [X9] : ((cP @ X9) != $true)) & (($true = (cP @ sK8)) | ((cQ @ sK9) != $true))))) | ($true != sP1)) & (((((! [X12] : ($true = (cQ @ X12)) | ! [X13] : ((cP @ X13) != $true)) & (($true = (cP @ sK10)) | ((cQ @ sK11) != $true))) | ! [X16] : ((cS @ (sK12 @ X16)) != (cS @ X16))) & (! [X19] : ((cS @ X19) = (cS @ sK13)) | ((! [X20] : ((cP @ X20) != $true) | ($true != (cQ @ sK14))) & (($true = (cP @ sK15)) | ! [X23] : ($true = (cQ @ X23)))))) | ($true = sP1)))) & (((($true = sP1) | ((! [X24] : ((cS @ (sK16 @ X24)) != (cS @ X24)) | ((! [X26] : ($true != (cP @ X26)) | ($true != (cQ @ sK17))) & (($true = (cP @ sK18)) | ! [X29] : ($true = (cQ @ X29))))) & (! [X31] : ((cS @ X31) = (cS @ sK19)) | ((! [X32] : ((cQ @ X32) = $true) | ! [X33] : ((cP @ X33) != $true)) & (((cP @ sK20) = $true) | ($true != (cQ @ sK21))))))) & (((((! [X36] : ((cQ @ X36) = $true) | ! [X37] : ($true != (cP @ X37))) & (($true = (cP @ sK22)) | ((cQ @ sK23) != $true))) | ! [X40] : ((cS @ (sK24 @ X40)) != (cS @ X40))) & (! [X43] : ((cS @ X43) = (cS @ sK25)) | ((! [X44] : ((cP @ X44) != $true) | ((cQ @ sK26) != $true)) & (($true = (cP @ sK27)) | ! [X47] : ($true = (cQ @ X47)))))) | ($true != sP1))) | ($true != sP3))),
% 0.23/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f13,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14])).
% 0.23/0.54 thf(f14,plain,(
% 0.23/0.54 ! [X0] : (? [X1] : ((cS @ X1) != (cS @ X0)) => ((cS @ X0) != (cS @ (sK4 @ X0))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f15,plain,(
% 0.23/0.54 ? [X3] : ($true != (cQ @ X3)) => ((cQ @ sK5) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f16,plain,(
% 0.23/0.54 ? [X4] : ($true = (cP @ X4)) => ($true = (cP @ sK6))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f17,plain,(
% 0.23/0.54 ? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)) => ! [X7] : ((cS @ sK7) = (cS @ X7))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f18,plain,(
% 0.23/0.54 ? [X10] : ($true = (cP @ X10)) => ($true = (cP @ sK8))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f19,plain,(
% 0.23/0.54 ? [X11] : ($true != (cQ @ X11)) => ((cQ @ sK9) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f20,plain,(
% 0.23/0.54 ? [X14] : ((cP @ X14) = $true) => ($true = (cP @ sK10))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f21,plain,(
% 0.23/0.54 ? [X15] : ($true != (cQ @ X15)) => ((cQ @ sK11) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f22,plain,(
% 0.23/0.54 ! [X16] : (? [X17] : ((cS @ X17) != (cS @ X16)) => ((cS @ (sK12 @ X16)) != (cS @ X16)))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f23,plain,(
% 0.23/0.54 ? [X18] : ! [X19] : ((cS @ X19) = (cS @ X18)) => ! [X19] : ((cS @ X19) = (cS @ sK13))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f24,plain,(
% 0.23/0.54 ? [X21] : ($true != (cQ @ X21)) => ($true != (cQ @ sK14))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f25,plain,(
% 0.23/0.54 ? [X22] : ($true = (cP @ X22)) => ($true = (cP @ sK15))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f26,plain,(
% 0.23/0.54 ! [X24] : (? [X25] : ((cS @ X24) != (cS @ X25)) => ((cS @ (sK16 @ X24)) != (cS @ X24)))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f27,plain,(
% 0.23/0.54 ? [X27] : ($true != (cQ @ X27)) => ($true != (cQ @ sK17))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f28,plain,(
% 0.23/0.54 ? [X28] : ((cP @ X28) = $true) => ($true = (cP @ sK18))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f29,plain,(
% 0.23/0.54 ? [X30] : ! [X31] : ((cS @ X31) = (cS @ X30)) => ! [X31] : ((cS @ X31) = (cS @ sK19))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f30,plain,(
% 0.23/0.54 ? [X34] : ((cP @ X34) = $true) => ((cP @ sK20) = $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f31,plain,(
% 0.23/0.54 ? [X35] : ($true != (cQ @ X35)) => ($true != (cQ @ sK21))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f32,plain,(
% 0.23/0.54 ? [X38] : ($true = (cP @ X38)) => ($true = (cP @ sK22))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f33,plain,(
% 0.23/0.54 ? [X39] : ($true != (cQ @ X39)) => ((cQ @ sK23) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f34,plain,(
% 0.23/0.54 ! [X40] : (? [X41] : ((cS @ X41) != (cS @ X40)) => ((cS @ (sK24 @ X40)) != (cS @ X40)))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f35,plain,(
% 0.23/0.54 ? [X42] : ! [X43] : ((cS @ X43) = (cS @ X42)) => ! [X43] : ((cS @ X43) = (cS @ sK25))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f36,plain,(
% 0.23/0.54 ? [X45] : ($true != (cQ @ X45)) => ((cQ @ sK26) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f37,plain,(
% 0.23/0.54 ? [X46] : ($true = (cP @ X46)) => ($true = (cP @ sK27))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f13,plain,(
% 0.23/0.54 (($true = sP3) | ((((! [X0] : ? [X1] : ((cS @ X1) != (cS @ X0)) | ((! [X2] : ((cP @ X2) != $true) | ? [X3] : ($true != (cQ @ X3))) & (? [X4] : ($true = (cP @ X4)) | ! [X5] : ($true = (cQ @ X5))))) & (? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)) | ((! [X8] : ($true = (cQ @ X8)) | ! [X9] : ((cP @ X9) != $true)) & (? [X10] : ($true = (cP @ X10)) | ? [X11] : ($true != (cQ @ X11)))))) | ($true != sP1)) & (((((! [X12] : ($true = (cQ @ X12)) | ! [X13] : ((cP @ X13) != $true)) & (? [X14] : ((cP @ X14) = $true) | ? [X15] : ($true != (cQ @ X15)))) | ! [X16] : ? [X17] : ((cS @ X17) != (cS @ X16))) & (? [X18] : ! [X19] : ((cS @ X19) = (cS @ X18)) | ((! [X20] : ((cP @ X20) != $true) | ? [X21] : ($true != (cQ @ X21))) & (? [X22] : ($true = (cP @ X22)) | ! [X23] : ($true = (cQ @ X23)))))) | ($true = sP1)))) & (((($true = sP1) | ((! [X24] : ? [X25] : ((cS @ X24) != (cS @ X25)) | ((! [X26] : ($true != (cP @ X26)) | ? [X27] : ($true != (cQ @ X27))) & (? [X28] : ((cP @ X28) = $true) | ! [X29] : ($true = (cQ @ X29))))) & (? [X30] : ! [X31] : ((cS @ X31) = (cS @ X30)) | ((! [X32] : ((cQ @ X32) = $true) | ! [X33] : ((cP @ X33) != $true)) & (? [X34] : ((cP @ X34) = $true) | ? [X35] : ($true != (cQ @ X35))))))) & (((((! [X36] : ((cQ @ X36) = $true) | ! [X37] : ($true != (cP @ X37))) & (? [X38] : ($true = (cP @ X38)) | ? [X39] : ($true != (cQ @ X39)))) | ! [X40] : ? [X41] : ((cS @ X41) != (cS @ X40))) & (? [X42] : ! [X43] : ((cS @ X43) = (cS @ X42)) | ((! [X44] : ((cP @ X44) != $true) | ? [X45] : ($true != (cQ @ X45))) & (? [X46] : ($true = (cP @ X46)) | ! [X47] : ($true = (cQ @ X47)))))) | ($true != sP1))) | ($true != sP3))),
% 0.23/0.54 inference(rectify,[],[f12])).
% 0.23/0.54 thf(f12,plain,(
% 0.23/0.54 (($true = sP3) | ((((! [X6] : ? [X7] : ((cS @ X7) != (cS @ X6)) | ((! [X5] : ($true != (cP @ X5)) | ? [X4] : ($true != (cQ @ X4))) & (? [X5] : ($true = (cP @ X5)) | ! [X4] : ($true = (cQ @ X4))))) & (? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)) | ((! [X4] : ($true = (cQ @ X4)) | ! [X5] : ($true != (cP @ X5))) & (? [X5] : ($true = (cP @ X5)) | ? [X4] : ($true != (cQ @ X4)))))) | ($true != sP1)) & (((((! [X4] : ($true = (cQ @ X4)) | ! [X5] : ($true != (cP @ X5))) & (? [X5] : ($true = (cP @ X5)) | ? [X4] : ($true != (cQ @ X4)))) | ! [X6] : ? [X7] : ((cS @ X7) != (cS @ X6))) & (? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)) | ((! [X5] : ($true != (cP @ X5)) | ? [X4] : ($true != (cQ @ X4))) & (? [X5] : ($true = (cP @ X5)) | ! [X4] : ($true = (cQ @ X4)))))) | ($true = sP1)))) & (((($true = sP1) | ((! [X6] : ? [X7] : ((cS @ X7) != (cS @ X6)) | ((! [X5] : ($true != (cP @ X5)) | ? [X4] : ($true != (cQ @ X4))) & (? [X5] : ($true = (cP @ X5)) | ! [X4] : ($true = (cQ @ X4))))) & (? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)) | ((! [X4] : ($true = (cQ @ X4)) | ! [X5] : ($true != (cP @ X5))) & (? [X5] : ($true = (cP @ X5)) | ? [X4] : ($true != (cQ @ X4))))))) & (((((! [X4] : ($true = (cQ @ X4)) | ! [X5] : ($true != (cP @ X5))) & (? [X5] : ($true = (cP @ X5)) | ? [X4] : ($true != (cQ @ X4)))) | ! [X6] : ? [X7] : ((cS @ X7) != (cS @ X6))) & (? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)) | ((! [X5] : ($true != (cP @ X5)) | ? [X4] : ($true != (cQ @ X4))) & (? [X5] : ($true = (cP @ X5)) | ! [X4] : ($true = (cQ @ X4)))))) | ($true != sP1))) | ($true != sP3))),
% 0.23/0.54 inference(nnf_transformation,[],[f10])).
% 0.23/0.54 thf(f10,plain,(
% 0.23/0.54 ($true = sP3) <=> (($true = sP1) <=> ((! [X4] : ($true = (cQ @ X4)) <=> ? [X5] : ($true = (cP @ X5))) <=> ? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6))))),
% 0.23/0.54 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.23/0.54 thf(f751,plain,(
% 0.23/0.54 spl76_8 | ~spl76_111 | spl76_76 | ~spl76_9 | spl76_25 | spl76_112),
% 0.23/0.54 inference(avatar_split_clause,[],[f147,f748,f335,f274,f564,f744,f270])).
% 0.23/0.54 thf(f147,plain,(
% 0.23/0.54 ( ! [X31 : $i] : (((cP @ sK20) = $true) | ($true != (cQ @ sK21)) | ($true = (cS @ X31)) | ($true = sP1) | ($true != sP3) | ((cS @ sK19) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f101])).
% 0.23/0.54 thf(f742,plain,(
% 0.23/0.54 ~spl76_8 | spl76_6 | spl76_7 | ~spl76_9 | spl76_70),
% 0.23/0.54 inference(avatar_split_clause,[],[f150,f534,f274,f267,f264,f270])).
% 0.23/0.54 thf(f150,plain,(
% 0.23/0.54 ( ! [X40 : $i,X36 : $i,X37 : $i] : (($true != (cP @ X37)) | ((cQ @ X36) = $true) | ((cS @ X40) = $false) | ($true != sP1) | ($true != sP3) | ((cS @ (sK24 @ X40)) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f100])).
% 0.23/0.54 thf(f100,plain,(
% 0.23/0.54 ( ! [X40 : $i,X36 : $i,X37 : $i] : (((cS @ (sK24 @ X40)) != (cS @ X40)) | ($true != sP1) | ($true != sP3) | ((cQ @ X36) = $true) | ($true != (cP @ X37))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f741,plain,(
% 0.23/0.54 ~spl76_8 | ~spl76_9 | spl76_68 | spl76_7 | spl76_6),
% 0.23/0.54 inference(avatar_split_clause,[],[f149,f264,f267,f526,f274,f270])).
% 0.23/0.54 thf(f149,plain,(
% 0.23/0.54 ( ! [X40 : $i,X36 : $i,X37 : $i] : (((cQ @ X36) = $true) | ($true = (cS @ X40)) | ($true != sP3) | ((cS @ (sK24 @ X40)) = $true) | ($true != (cP @ X37)) | ($true != sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f100])).
% 0.23/0.54 thf(f740,plain,(
% 0.23/0.54 spl76_2 | spl76_19 | spl76_12 | spl76_15 | spl76_93 | ~spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f152,f289,f639,f296,f286,f310,f247])).
% 0.23/0.54 thf(f247,plain,(
% 0.23/0.54 spl76_2 <=> (sP0 = $true)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_2])])).
% 0.23/0.54 thf(f289,plain,(
% 0.23/0.54 spl76_13 <=> ($true = sP2)),
% 0.23/0.54 introduced(avatar_definition,[new_symbols(naming,[spl76_13])])).
% 0.23/0.54 thf(f152,plain,(
% 0.23/0.54 ( ! [X35 : $i,X32 : $i,X33 : $i] : (($true != (cQ @ X33)) | ($true = (cP @ X35)) | ((cP @ sK45) = $false) | ($true != sP2) | (sP0 = $true) | ($true = (cR @ X32))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f117])).
% 0.23/0.54 thf(f117,plain,(
% 0.23/0.54 ( ! [X35 : $i,X32 : $i,X33 : $i] : (((cP @ sK45) = (cP @ X35)) | ($true = (cR @ X32)) | ($true != sP2) | ($true != (cQ @ X33)) | (sP0 = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f65,plain,(
% 0.23/0.54 (($true = sP2) | ((((((($true != (cR @ sK28)) | ! [X1] : ((cQ @ X1) != $true)) & (! [X2] : ($true = (cR @ X2)) | ($true = (cQ @ sK29)))) | ! [X4] : ((cP @ X4) != (cP @ (sK30 @ X4)))) & (((((cQ @ sK31) = $true) | ($true != (cR @ sK32))) & (! [X8] : ($true = (cR @ X8)) | ! [X9] : ($true != (cQ @ X9)))) | ! [X11] : ((cP @ sK33) = (cP @ X11)))) | (sP0 != $true)) & (((! [X13] : ((cP @ X13) = (cP @ sK34)) | ((($true != (cR @ sK35)) | ! [X15] : ($true != (cQ @ X15))) & (! [X16] : ($true = (cR @ X16)) | ($true = (cQ @ sK36))))) & (((($true = (cQ @ sK37)) | ((cR @ sK38) != $true)) & (! [X20] : ($true = (cR @ X20)) | ! [X21] : ($true != (cQ @ X21)))) | ! [X22] : ((cP @ (sK39 @ X22)) != (cP @ X22)))) | (sP0 = $true)))) & ((((sP0 = $true) | ((((((cR @ sK40) != $true) | ! [X25] : ($true != (cQ @ X25))) & (! [X26] : ((cR @ X26) = $true) | ($true = (cQ @ sK41)))) | ! [X28] : ((cP @ X28) != (cP @ (sK42 @ X28)))) & (((($true = (cQ @ sK43)) | ($true != (cR @ sK44))) & (! [X32] : ($true = (cR @ X32)) | ! [X33] : ($true != (cQ @ X33)))) | ! [X35] : ((cP @ sK45) = (cP @ X35))))) & (((! [X37] : ((cP @ sK46) = (cP @ X37)) | ((($true != (cR @ sK47)) | ! [X39] : ($true != (cQ @ X39))) & (! [X40] : ($true = (cR @ X40)) | ($true = (cQ @ sK48))))) & (((($true = (cQ @ sK49)) | ($true != (cR @ sK50))) & (! [X44] : ($true = (cR @ X44)) | ! [X45] : ($true != (cQ @ X45)))) | ! [X46] : ((cP @ X46) != (cP @ (sK51 @ X46))))) | (sP0 != $true))) | ($true != sP2))),
% 0.23/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51])],[f40,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41])).
% 0.23/0.54 thf(f41,plain,(
% 0.23/0.54 ? [X0] : ((cR @ X0) != $true) => ($true != (cR @ sK28))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f42,plain,(
% 0.23/0.54 ? [X3] : ($true = (cQ @ X3)) => ($true = (cQ @ sK29))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f43,plain,(
% 0.23/0.54 ! [X4] : (? [X5] : ((cP @ X4) != (cP @ X5)) => ((cP @ X4) != (cP @ (sK30 @ X4))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f44,plain,(
% 0.23/0.54 ? [X6] : ((cQ @ X6) = $true) => ((cQ @ sK31) = $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f45,plain,(
% 0.23/0.54 ? [X7] : ($true != (cR @ X7)) => ($true != (cR @ sK32))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f46,plain,(
% 0.23/0.54 ? [X10] : ! [X11] : ((cP @ X10) = (cP @ X11)) => ! [X11] : ((cP @ sK33) = (cP @ X11))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f47,plain,(
% 0.23/0.54 ? [X12] : ! [X13] : ((cP @ X13) = (cP @ X12)) => ! [X13] : ((cP @ X13) = (cP @ sK34))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f48,plain,(
% 0.23/0.54 ? [X14] : ($true != (cR @ X14)) => ($true != (cR @ sK35))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f49,plain,(
% 0.23/0.54 ? [X17] : ((cQ @ X17) = $true) => ($true = (cQ @ sK36))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f50,plain,(
% 0.23/0.54 ? [X18] : ($true = (cQ @ X18)) => ($true = (cQ @ sK37))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f51,plain,(
% 0.23/0.54 ? [X19] : ($true != (cR @ X19)) => ((cR @ sK38) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f52,plain,(
% 0.23/0.54 ! [X22] : (? [X23] : ((cP @ X23) != (cP @ X22)) => ((cP @ (sK39 @ X22)) != (cP @ X22)))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f53,plain,(
% 0.23/0.54 ? [X24] : ($true != (cR @ X24)) => ((cR @ sK40) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f54,plain,(
% 0.23/0.54 ? [X27] : ($true = (cQ @ X27)) => ($true = (cQ @ sK41))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f55,plain,(
% 0.23/0.54 ! [X28] : (? [X29] : ((cP @ X28) != (cP @ X29)) => ((cP @ X28) != (cP @ (sK42 @ X28))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f56,plain,(
% 0.23/0.54 ? [X30] : ($true = (cQ @ X30)) => ($true = (cQ @ sK43))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f57,plain,(
% 0.23/0.54 ? [X31] : ($true != (cR @ X31)) => ($true != (cR @ sK44))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f58,plain,(
% 0.23/0.54 ? [X34] : ! [X35] : ((cP @ X34) = (cP @ X35)) => ! [X35] : ((cP @ sK45) = (cP @ X35))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f59,plain,(
% 0.23/0.54 ? [X36] : ! [X37] : ((cP @ X36) = (cP @ X37)) => ! [X37] : ((cP @ sK46) = (cP @ X37))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f60,plain,(
% 0.23/0.54 ? [X38] : ((cR @ X38) != $true) => ($true != (cR @ sK47))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f61,plain,(
% 0.23/0.54 ? [X41] : ($true = (cQ @ X41)) => ($true = (cQ @ sK48))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f62,plain,(
% 0.23/0.54 ? [X42] : ($true = (cQ @ X42)) => ($true = (cQ @ sK49))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f63,plain,(
% 0.23/0.54 ? [X43] : ((cR @ X43) != $true) => ($true != (cR @ sK50))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f64,plain,(
% 0.23/0.54 ! [X46] : (? [X47] : ((cP @ X46) != (cP @ X47)) => ((cP @ X46) != (cP @ (sK51 @ X46))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f40,plain,(
% 0.23/0.54 (($true = sP2) | ((((((? [X0] : ((cR @ X0) != $true) | ! [X1] : ((cQ @ X1) != $true)) & (! [X2] : ($true = (cR @ X2)) | ? [X3] : ($true = (cQ @ X3)))) | ! [X4] : ? [X5] : ((cP @ X4) != (cP @ X5))) & (((? [X6] : ((cQ @ X6) = $true) | ? [X7] : ($true != (cR @ X7))) & (! [X8] : ($true = (cR @ X8)) | ! [X9] : ($true != (cQ @ X9)))) | ? [X10] : ! [X11] : ((cP @ X10) = (cP @ X11)))) | (sP0 != $true)) & (((? [X12] : ! [X13] : ((cP @ X13) = (cP @ X12)) | ((? [X14] : ($true != (cR @ X14)) | ! [X15] : ($true != (cQ @ X15))) & (! [X16] : ($true = (cR @ X16)) | ? [X17] : ((cQ @ X17) = $true)))) & (((? [X18] : ($true = (cQ @ X18)) | ? [X19] : ($true != (cR @ X19))) & (! [X20] : ($true = (cR @ X20)) | ! [X21] : ($true != (cQ @ X21)))) | ! [X22] : ? [X23] : ((cP @ X23) != (cP @ X22)))) | (sP0 = $true)))) & ((((sP0 = $true) | ((((? [X24] : ($true != (cR @ X24)) | ! [X25] : ($true != (cQ @ X25))) & (! [X26] : ((cR @ X26) = $true) | ? [X27] : ($true = (cQ @ X27)))) | ! [X28] : ? [X29] : ((cP @ X28) != (cP @ X29))) & (((? [X30] : ($true = (cQ @ X30)) | ? [X31] : ($true != (cR @ X31))) & (! [X32] : ($true = (cR @ X32)) | ! [X33] : ($true != (cQ @ X33)))) | ? [X34] : ! [X35] : ((cP @ X34) = (cP @ X35))))) & (((? [X36] : ! [X37] : ((cP @ X36) = (cP @ X37)) | ((? [X38] : ((cR @ X38) != $true) | ! [X39] : ($true != (cQ @ X39))) & (! [X40] : ($true = (cR @ X40)) | ? [X41] : ($true = (cQ @ X41))))) & (((? [X42] : ($true = (cQ @ X42)) | ? [X43] : ((cR @ X43) != $true)) & (! [X44] : ($true = (cR @ X44)) | ! [X45] : ($true != (cQ @ X45)))) | ! [X46] : ? [X47] : ((cP @ X46) != (cP @ X47)))) | (sP0 != $true))) | ($true != sP2))),
% 0.23/0.54 inference(rectify,[],[f39])).
% 0.23/0.54 thf(f39,plain,(
% 0.23/0.54 (($true = sP2) | ((((((? [X12] : ($true != (cR @ X12)) | ! [X13] : ($true != (cQ @ X13))) & (! [X12] : ($true = (cR @ X12)) | ? [X13] : ($true = (cQ @ X13)))) | ! [X14] : ? [X15] : ((cP @ X14) != (cP @ X15))) & (((? [X13] : ($true = (cQ @ X13)) | ? [X12] : ($true != (cR @ X12))) & (! [X12] : ($true = (cR @ X12)) | ! [X13] : ($true != (cQ @ X13)))) | ? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15)))) | (sP0 != $true)) & (((? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15)) | ((? [X12] : ($true != (cR @ X12)) | ! [X13] : ($true != (cQ @ X13))) & (! [X12] : ($true = (cR @ X12)) | ? [X13] : ($true = (cQ @ X13))))) & (((? [X13] : ($true = (cQ @ X13)) | ? [X12] : ($true != (cR @ X12))) & (! [X12] : ($true = (cR @ X12)) | ! [X13] : ($true != (cQ @ X13)))) | ! [X14] : ? [X15] : ((cP @ X14) != (cP @ X15)))) | (sP0 = $true)))) & ((((sP0 = $true) | ((((? [X12] : ($true != (cR @ X12)) | ! [X13] : ($true != (cQ @ X13))) & (! [X12] : ($true = (cR @ X12)) | ? [X13] : ($true = (cQ @ X13)))) | ! [X14] : ? [X15] : ((cP @ X14) != (cP @ X15))) & (((? [X13] : ($true = (cQ @ X13)) | ? [X12] : ($true != (cR @ X12))) & (! [X12] : ($true = (cR @ X12)) | ! [X13] : ($true != (cQ @ X13)))) | ? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15))))) & (((? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15)) | ((? [X12] : ($true != (cR @ X12)) | ! [X13] : ($true != (cQ @ X13))) & (! [X12] : ($true = (cR @ X12)) | ? [X13] : ($true = (cQ @ X13))))) & (((? [X13] : ($true = (cQ @ X13)) | ? [X12] : ($true != (cR @ X12))) & (! [X12] : ($true = (cR @ X12)) | ! [X13] : ($true != (cQ @ X13)))) | ! [X14] : ? [X15] : ((cP @ X14) != (cP @ X15)))) | (sP0 != $true))) | ($true != sP2))),
% 0.23/0.54 inference(nnf_transformation,[],[f9])).
% 0.23/0.54 thf(f9,plain,(
% 0.23/0.54 ($true = sP2) <=> ((sP0 = $true) <=> (? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15)) <=> (? [X13] : ($true = (cQ @ X13)) <=> ! [X12] : ($true = (cR @ X12)))))),
% 0.23/0.54 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.23/0.54 thf(f739,plain,(
% 0.23/0.54 spl76_12 | spl76_27 | spl76_15 | spl76_2 | spl76_90 | ~spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f151,f289,f626,f247,f296,f343,f286])).
% 0.23/0.54 thf(f151,plain,(
% 0.23/0.54 ( ! [X35 : $i,X32 : $i,X33 : $i] : (((cP @ sK45) = $true) | ($true = (cR @ X32)) | ($true != (cQ @ X33)) | (sP0 = $true) | ((cP @ X35) = $false) | ($true != sP2)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f117])).
% 0.23/0.54 thf(f738,plain,(
% 0.23/0.54 spl76_86 | spl76_2 | spl76_110 | spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f154,f335,f734,f247,f608])).
% 0.23/0.54 thf(f154,plain,(
% 0.23/0.54 ( ! [X0 : $i,X4 : $i] : (($true = (cS @ X4)) | ((cQ @ X0) = $false) | ($true = (cR @ sK66)) | (sP0 = $true) | ((cQ @ (sK64 @ X0)) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f143])).
% 0.23/0.54 thf(f143,plain,(
% 0.23/0.54 ( ! [X0 : $i,X4 : $i] : (((cQ @ X0) != (cQ @ (sK64 @ X0))) | ($true = (cR @ sK66)) | (sP0 = $true) | ($true = (cS @ X4))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f95,plain,(
% 0.23/0.54 ((sP0 = $true) | ((! [X0] : ((cQ @ X0) != (cQ @ (sK64 @ X0))) | ((((cS @ sK65) != $true) | ! [X3] : ($true != (cR @ X3))) & (! [X4] : ($true = (cS @ X4)) | ($true = (cR @ sK66))))) & (! [X7] : ((cQ @ X7) = (cQ @ sK67)) | ((($true = (cR @ sK68)) | ($true != (cS @ sK69))) & (! [X10] : ($true = (cS @ X10)) | ! [X11] : ($true != (cR @ X11))))))) & (((((((cR @ sK70) = $true) | ((cS @ sK71) != $true)) & (! [X14] : ($true = (cS @ X14)) | ! [X15] : ($true != (cR @ X15)))) | ! [X16] : ((cQ @ X16) != (cQ @ (sK72 @ X16)))) & (! [X19] : ((cQ @ X19) = (cQ @ sK73)) | ((($true != (cS @ sK74)) | ! [X21] : ((cR @ X21) != $true)) & (! [X22] : ((cS @ X22) = $true) | ($true = (cR @ sK75)))))) | (sP0 != $true))),
% 0.23/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75])],[f82,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83])).
% 0.23/0.54 thf(f83,plain,(
% 0.23/0.54 ! [X0] : (? [X1] : ((cQ @ X0) != (cQ @ X1)) => ((cQ @ X0) != (cQ @ (sK64 @ X0))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f84,plain,(
% 0.23/0.54 ? [X2] : ($true != (cS @ X2)) => ((cS @ sK65) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f85,plain,(
% 0.23/0.54 ? [X5] : ($true = (cR @ X5)) => ($true = (cR @ sK66))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f86,plain,(
% 0.23/0.54 ? [X6] : ! [X7] : ((cQ @ X6) = (cQ @ X7)) => ! [X7] : ((cQ @ X7) = (cQ @ sK67))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f87,plain,(
% 0.23/0.54 ? [X8] : ($true = (cR @ X8)) => ($true = (cR @ sK68))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f88,plain,(
% 0.23/0.54 ? [X9] : ($true != (cS @ X9)) => ($true != (cS @ sK69))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f89,plain,(
% 0.23/0.54 ? [X12] : ($true = (cR @ X12)) => ((cR @ sK70) = $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f90,plain,(
% 0.23/0.54 ? [X13] : ($true != (cS @ X13)) => ((cS @ sK71) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f91,plain,(
% 0.23/0.54 ! [X16] : (? [X17] : ((cQ @ X16) != (cQ @ X17)) => ((cQ @ X16) != (cQ @ (sK72 @ X16))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f92,plain,(
% 0.23/0.54 ? [X18] : ! [X19] : ((cQ @ X19) = (cQ @ X18)) => ! [X19] : ((cQ @ X19) = (cQ @ sK73))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f93,plain,(
% 0.23/0.54 ? [X20] : ($true != (cS @ X20)) => ($true != (cS @ sK74))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f94,plain,(
% 0.23/0.54 ? [X23] : ((cR @ X23) = $true) => ($true = (cR @ sK75))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f82,plain,(
% 0.23/0.54 ((sP0 = $true) | ((! [X0] : ? [X1] : ((cQ @ X0) != (cQ @ X1)) | ((? [X2] : ($true != (cS @ X2)) | ! [X3] : ($true != (cR @ X3))) & (! [X4] : ($true = (cS @ X4)) | ? [X5] : ($true = (cR @ X5))))) & (? [X6] : ! [X7] : ((cQ @ X6) = (cQ @ X7)) | ((? [X8] : ($true = (cR @ X8)) | ? [X9] : ($true != (cS @ X9))) & (! [X10] : ($true = (cS @ X10)) | ! [X11] : ($true != (cR @ X11))))))) & (((((? [X12] : ($true = (cR @ X12)) | ? [X13] : ($true != (cS @ X13))) & (! [X14] : ($true = (cS @ X14)) | ! [X15] : ($true != (cR @ X15)))) | ! [X16] : ? [X17] : ((cQ @ X16) != (cQ @ X17))) & (? [X18] : ! [X19] : ((cQ @ X19) = (cQ @ X18)) | ((? [X20] : ($true != (cS @ X20)) | ! [X21] : ((cR @ X21) != $true)) & (! [X22] : ((cS @ X22) = $true) | ? [X23] : ((cR @ X23) = $true))))) | (sP0 != $true))),
% 0.23/0.54 inference(rectify,[],[f81])).
% 0.23/0.54 thf(f81,plain,(
% 0.23/0.54 ((sP0 = $true) | ((! [X8] : ? [X9] : ((cQ @ X9) != (cQ @ X8)) | ((? [X11] : ($true != (cS @ X11)) | ! [X10] : ($true != (cR @ X10))) & (! [X11] : ($true = (cS @ X11)) | ? [X10] : ($true = (cR @ X10))))) & (? [X8] : ! [X9] : ((cQ @ X9) = (cQ @ X8)) | ((? [X10] : ($true = (cR @ X10)) | ? [X11] : ($true != (cS @ X11))) & (! [X11] : ($true = (cS @ X11)) | ! [X10] : ($true != (cR @ X10))))))) & (((((? [X10] : ($true = (cR @ X10)) | ? [X11] : ($true != (cS @ X11))) & (! [X11] : ($true = (cS @ X11)) | ! [X10] : ($true != (cR @ X10)))) | ! [X8] : ? [X9] : ((cQ @ X9) != (cQ @ X8))) & (? [X8] : ! [X9] : ((cQ @ X9) = (cQ @ X8)) | ((? [X11] : ($true != (cS @ X11)) | ! [X10] : ($true != (cR @ X10))) & (! [X11] : ($true = (cS @ X11)) | ? [X10] : ($true = (cR @ X10)))))) | (sP0 != $true))),
% 0.23/0.54 inference(nnf_transformation,[],[f7])).
% 0.23/0.54 thf(f7,plain,(
% 0.23/0.54 (sP0 = $true) <=> ((? [X10] : ($true = (cR @ X10)) <=> ! [X11] : ($true = (cS @ X11))) <=> ? [X8] : ! [X9] : ((cQ @ X9) = (cQ @ X8)))),
% 0.23/0.54 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.23/0.54 thf(f737,plain,(
% 0.23/0.54 spl76_110 | spl76_25 | spl76_2 | spl76_85),
% 0.23/0.54 inference(avatar_split_clause,[],[f153,f604,f247,f335,f734])).
% 0.23/0.54 thf(f153,plain,(
% 0.23/0.54 ( ! [X0 : $i,X4 : $i] : (($true = (cS @ X4)) | (sP0 = $true) | ((cQ @ (sK64 @ X0)) = $true) | ((cQ @ X0) = $true) | ($true = (cR @ sK66))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f143])).
% 0.23/0.54 thf(f732,plain,(
% 0.23/0.54 spl76_12 | spl76_13 | spl76_15 | ~spl76_2 | spl76_30 | spl76_19),
% 0.23/0.54 inference(avatar_split_clause,[],[f156,f310,f355,f247,f296,f289,f286])).
% 0.23/0.54 thf(f156,plain,(
% 0.23/0.54 ( ! [X11 : $i,X8 : $i,X9 : $i] : (($true = (cP @ X11)) | ($true != (cQ @ X9)) | ($true = sP2) | ((cP @ sK33) = $false) | ($true = (cR @ X8)) | (sP0 != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f125])).
% 0.23/0.54 thf(f125,plain,(
% 0.23/0.54 ( ! [X11 : $i,X8 : $i,X9 : $i] : ((sP0 != $true) | ($true = sP2) | ((cP @ sK33) = (cP @ X11)) | ($true = (cR @ X8)) | ($true != (cQ @ X9))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f731,plain,(
% 0.23/0.54 spl76_26 | spl76_12 | spl76_15 | spl76_13 | spl76_27 | ~spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f155,f247,f343,f289,f296,f286,f339])).
% 0.23/0.54 thf(f155,plain,(
% 0.23/0.54 ( ! [X11 : $i,X8 : $i,X9 : $i] : (($true != (cQ @ X9)) | ((cP @ sK33) = $true) | ($true = (cR @ X8)) | ((cP @ X11) = $false) | (sP0 != $true) | ($true = sP2)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f125])).
% 0.23/0.54 thf(f730,plain,(
% 0.23/0.54 ~spl76_9 | spl76_75 | spl76_7 | ~spl76_109 | spl76_22 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f158,f270,f323,f726,f267,f559,f274])).
% 0.23/0.54 thf(f158,plain,(
% 0.23/0.54 ( ! [X44 : $i,X43 : $i] : (($true = (cS @ sK25)) | ((cS @ X43) = $false) | ((cQ @ sK26) != $true) | ($true != sP1) | ($true != sP3) | ((cP @ X44) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f98])).
% 0.23/0.54 thf(f98,plain,(
% 0.23/0.54 ( ! [X44 : $i,X43 : $i] : (((cS @ X43) = (cS @ sK25)) | ($true != sP1) | ($true != sP3) | ((cP @ X44) != $true) | ((cQ @ sK26) != $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f729,plain,(
% 0.23/0.54 spl76_7 | ~spl76_9 | ~spl76_109 | spl76_25 | spl76_74 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f157,f270,f554,f335,f726,f274,f267])).
% 0.23/0.54 thf(f157,plain,(
% 0.23/0.54 ( ! [X44 : $i,X43 : $i] : (($true = (cS @ X43)) | ($true != sP3) | ((cP @ X44) != $true) | ($true != sP1) | ((cQ @ sK26) != $true) | ($false = (cS @ sK25))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f98])).
% 0.23/0.54 thf(f724,plain,(
% 0.23/0.54 spl76_108 | ~spl76_13 | spl76_83 | spl76_2 | spl76_15),
% 0.23/0.54 inference(avatar_split_clause,[],[f160,f296,f247,f596,f289,f720])).
% 0.23/0.54 thf(f160,plain,(
% 0.23/0.54 ( ! [X28 : $i,X26 : $i] : (($true = (cQ @ sK41)) | ((cP @ X28) = $false) | ((cP @ (sK42 @ X28)) = $false) | ($true != sP2) | ((cR @ X26) = $true) | (sP0 = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f119])).
% 0.23/0.54 thf(f119,plain,(
% 0.23/0.54 ( ! [X28 : $i,X26 : $i] : ((sP0 = $true) | ((cR @ X26) = $true) | ($true = (cQ @ sK41)) | ((cP @ X28) != (cP @ (sK42 @ X28))) | ($true != sP2)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f723,plain,(
% 0.23/0.54 ~spl76_13 | spl76_81 | spl76_2 | spl76_108 | spl76_15),
% 0.23/0.54 inference(avatar_split_clause,[],[f159,f296,f720,f247,f588,f289])).
% 0.23/0.54 thf(f159,plain,(
% 0.23/0.54 ( ! [X28 : $i,X26 : $i] : (($true != sP2) | ($true = (cQ @ sK41)) | ($true = (cP @ (sK42 @ X28))) | ((cR @ X26) = $true) | (sP0 = $true) | ((cP @ X28) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f119])).
% 0.23/0.54 thf(f718,plain,(
% 0.23/0.54 spl76_106 | spl76_7 | spl76_9 | spl76_22 | ~spl76_107 | spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f162,f270,f714,f323,f274,f267,f709])).
% 0.23/0.54 thf(f162,plain,(
% 0.23/0.54 ( ! [X19 : $i,X20 : $i] : (($true = (cS @ sK13)) | ($true = sP3) | ((cS @ X19) = $false) | ($true != (cQ @ sK14)) | ((cP @ X20) != $true) | ($true = sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f106])).
% 0.23/0.54 thf(f106,plain,(
% 0.23/0.54 ( ! [X19 : $i,X20 : $i] : (((cS @ X19) = (cS @ sK13)) | ($true = sP1) | ((cP @ X20) != $true) | ($true = sP3) | ($true != (cQ @ sK14))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f717,plain,(
% 0.23/0.54 ~spl76_107 | spl76_105 | spl76_7 | spl76_9 | spl76_8 | spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f161,f335,f270,f274,f267,f704,f714])).
% 0.23/0.54 thf(f161,plain,(
% 0.23/0.54 ( ! [X19 : $i,X20 : $i] : (((cP @ X20) != $true) | ($true = (cS @ X19)) | ($false = (cS @ sK13)) | ($true != (cQ @ sK14)) | ($true = sP1) | ($true = sP3)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f106])).
% 0.23/0.54 thf(f712,plain,(
% 0.23/0.54 spl76_8 | spl76_104 | spl76_106 | spl76_22 | spl76_9 | spl76_6),
% 0.23/0.54 inference(avatar_split_clause,[],[f164,f264,f274,f323,f709,f700,f270])).
% 0.23/0.54 thf(f164,plain,(
% 0.23/0.54 ( ! [X19 : $i,X23 : $i] : (($true = (cS @ sK13)) | ($true = (cP @ sK15)) | ($true = (cQ @ X23)) | ((cS @ X19) = $false) | ($true = sP1) | ($true = sP3)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f105])).
% 0.23/0.54 thf(f105,plain,(
% 0.23/0.54 ( ! [X19 : $i,X23 : $i] : (($true = sP1) | ($true = sP3) | ($true = (cP @ sK15)) | ($true = (cQ @ X23)) | ((cS @ X19) = (cS @ sK13))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f707,plain,(
% 0.23/0.54 spl76_104 | spl76_105 | spl76_6 | spl76_9 | spl76_8 | spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f163,f335,f270,f274,f264,f704,f700])).
% 0.23/0.54 thf(f163,plain,(
% 0.23/0.54 ( ! [X19 : $i,X23 : $i] : (($true = sP1) | ($true = (cQ @ X23)) | ($false = (cS @ sK13)) | ($true = (cP @ sK15)) | ($true = sP3) | ($true = (cS @ X19))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f105])).
% 0.23/0.54 thf(f698,plain,(
% 0.23/0.54 spl76_6 | spl76_103 | spl76_8 | spl76_38 | ~spl76_9),
% 0.23/0.54 inference(avatar_split_clause,[],[f166,f274,f388,f270,f694,f264])).
% 0.23/0.54 thf(f166,plain,(
% 0.23/0.54 ( ! [X29 : $i,X24 : $i] : (($true = sP1) | ((cS @ X24) = $false) | ($true = (cQ @ X29)) | ((cS @ (sK16 @ X24)) = $false) | ($true = (cP @ sK18)) | ($true != sP3)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f103])).
% 0.23/0.54 thf(f103,plain,(
% 0.23/0.54 ( ! [X29 : $i,X24 : $i] : (($true = sP1) | ((cS @ (sK16 @ X24)) != (cS @ X24)) | ($true = (cP @ sK18)) | ($true = (cQ @ X29)) | ($true != sP3)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f697,plain,(
% 0.23/0.54 ~spl76_9 | spl76_37 | spl76_8 | spl76_6 | spl76_103),
% 0.23/0.54 inference(avatar_split_clause,[],[f165,f694,f264,f270,f384,f274])).
% 0.23/0.54 thf(f165,plain,(
% 0.23/0.54 ( ! [X29 : $i,X24 : $i] : (($true = (cS @ X24)) | ($true != sP3) | ($true = sP1) | ($true = (cP @ sK18)) | ($true = (cS @ (sK16 @ X24))) | ($true = (cQ @ X29))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f103])).
% 0.23/0.54 thf(f692,plain,(
% 0.23/0.54 spl76_9 | spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f145,f289,f274])).
% 0.23/0.54 thf(f145,plain,(
% 0.23/0.54 ($true = sP2) | ($true = sP3)),
% 0.23/0.54 inference(cnf_transformation,[],[f96])).
% 0.23/0.54 thf(f96,plain,(
% 0.23/0.54 (($true != sP3) | ($true != sP2)) & (($true = sP3) | ($true = sP2))),
% 0.23/0.54 inference(nnf_transformation,[],[f11])).
% 0.23/0.54 thf(f11,plain,(
% 0.23/0.54 ($true = sP2) <~> ($true = sP3)),
% 0.23/0.54 inference(definition_folding,[],[f6,f10,f9,f8,f7])).
% 0.23/0.54 thf(f8,plain,(
% 0.23/0.54 ($true = sP1) <=> (? [X2] : ! [X3] : ((cR @ X3) = (cR @ X2)) <=> (? [X1] : ((cS @ X1) = $true) <=> ! [X0] : ((cP @ X0) = $true)))),
% 0.23/0.54 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.23/0.54 thf(f6,plain,(
% 0.23/0.54 (((? [X10] : ($true = (cR @ X10)) <=> ! [X11] : ($true = (cS @ X11))) <=> ? [X8] : ! [X9] : ((cQ @ X9) = (cQ @ X8))) <=> (? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15)) <=> (? [X13] : ($true = (cQ @ X13)) <=> ! [X12] : ($true = (cR @ X12))))) <~> ((? [X2] : ! [X3] : ((cR @ X3) = (cR @ X2)) <=> (? [X1] : ((cS @ X1) = $true) <=> ! [X0] : ((cP @ X0) = $true))) <=> ((! [X4] : ($true = (cQ @ X4)) <=> ? [X5] : ($true = (cP @ X5))) <=> ? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6))))),
% 0.23/0.54 inference(ennf_transformation,[],[f5])).
% 0.23/0.54 thf(f5,plain,(
% 0.23/0.54 ~((((? [X10] : ($true = (cR @ X10)) <=> ! [X11] : ($true = (cS @ X11))) <=> ? [X8] : ! [X9] : ((cQ @ X9) = (cQ @ X8))) <=> (? [X14] : ! [X15] : ((cP @ X14) = (cP @ X15)) <=> (? [X13] : ($true = (cQ @ X13)) <=> ! [X12] : ($true = (cR @ X12))))) <=> ((? [X2] : ! [X3] : ((cR @ X3) = (cR @ X2)) <=> (? [X1] : ((cS @ X1) = $true) <=> ! [X0] : ((cP @ X0) = $true))) <=> ((! [X4] : ($true = (cQ @ X4)) <=> ? [X5] : ($true = (cP @ X5))) <=> ? [X6] : ! [X7] : ((cS @ X7) = (cS @ X6)))))),
% 0.23/0.54 inference(fool_elimination,[],[f4])).
% 0.23/0.54 thf(f4,plain,(
% 0.23/0.54 ~((((! [X0] : (cP @ X0) <=> ? [X1] : (cS @ X1)) <=> ? [X2] : ! [X3] : ((cR @ X3) <=> (cR @ X2))) <=> ((! [X4] : (cQ @ X4) <=> ? [X5] : (cP @ X5)) <=> ? [X6] : ! [X7] : ((cS @ X7) <=> (cS @ X6)))) <=> ((? [X8] : ! [X9] : ((cQ @ X9) <=> (cQ @ X8)) <=> (? [X10] : (cR @ X10) <=> ! [X11] : (cS @ X11))) <=> ((! [X12] : (cR @ X12) <=> ? [X13] : (cQ @ X13)) <=> ? [X14] : ! [X15] : ((cP @ X14) <=> (cP @ X15)))))),
% 0.23/0.54 inference(rectify,[],[f2])).
% 0.23/0.54 thf(f2,negated_conjecture,(
% 0.23/0.54 ~((((! [X1] : (cP @ X1) <=> ? [X0] : (cS @ X0)) <=> ? [X0] : ! [X1] : ((cR @ X1) <=> (cR @ X0))) <=> ((! [X1] : (cQ @ X1) <=> ? [X0] : (cP @ X0)) <=> ? [X0] : ! [X1] : ((cS @ X1) <=> (cS @ X0)))) <=> ((? [X0] : ! [X1] : ((cQ @ X1) <=> (cQ @ X0)) <=> (? [X0] : (cR @ X0) <=> ! [X1] : (cS @ X1))) <=> ((! [X1] : (cR @ X1) <=> ? [X0] : (cQ @ X0)) <=> ? [X0] : ! [X1] : ((cP @ X0) <=> (cP @ X1)))))),
% 0.23/0.54 inference(negated_conjecture,[],[f1])).
% 0.23/0.54 thf(f1,conjecture,(
% 0.23/0.54 (((! [X1] : (cP @ X1) <=> ? [X0] : (cS @ X0)) <=> ? [X0] : ! [X1] : ((cR @ X1) <=> (cR @ X0))) <=> ((! [X1] : (cQ @ X1) <=> ? [X0] : (cP @ X0)) <=> ? [X0] : ! [X1] : ((cS @ X1) <=> (cS @ X0)))) <=> ((? [X0] : ! [X1] : ((cQ @ X1) <=> (cQ @ X0)) <=> (? [X0] : (cR @ X0) <=> ! [X1] : (cS @ X1))) <=> ((! [X1] : (cR @ X1) <=> ? [X0] : (cQ @ X0)) <=> ? [X0] : ! [X1] : ((cP @ X0) <=> (cP @ X1))))),
% 0.23/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM138)).
% 0.23/0.54 thf(f691,plain,(
% 0.23/0.54 spl76_80 | ~spl76_8 | ~spl76_102 | spl76_101),
% 0.23/0.54 inference(avatar_split_clause,[],[f168,f683,f687,f270,f584])).
% 0.23/0.54 thf(f168,plain,(
% 0.23/0.54 ( ! [X22 : $i] : (((cR @ X22) = $false) | ((cP @ sK62) != $true) | ($false = (cR @ (sK63 @ X22))) | ($true != sP1) | ((cS @ sK61) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f130])).
% 0.23/0.54 thf(f130,plain,(
% 0.23/0.54 ( ! [X22 : $i] : (($true != sP1) | ((cP @ sK62) != $true) | ((cR @ X22) != (cR @ (sK63 @ X22))) | ((cS @ sK61) = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f80,plain,(
% 0.23/0.54 (($true = sP1) | ((((($true != (cP @ sK52)) | ! [X1] : ((cS @ X1) != $true)) & (! [X2] : ((cP @ X2) = $true) | ($true = (cS @ sK53)))) | ! [X4] : ((cR @ (sK54 @ X4)) != (cR @ X4))) & (((($true = (cS @ sK55)) | ($true != (cP @ sK56))) & (! [X8] : ($true = (cP @ X8)) | ! [X9] : ($true != (cS @ X9)))) | ! [X11] : ((cR @ sK57) = (cR @ X11))))) & (((! [X13] : ((cR @ sK58) = (cR @ X13)) | ((((cP @ sK59) != $true) | ! [X15] : ($true != (cS @ X15))) & (! [X16] : ((cP @ X16) = $true) | ((cS @ sK60) = $true)))) & (((((cS @ sK61) = $true) | ((cP @ sK62) != $true)) & (! [X20] : ((cP @ X20) = $true) | ! [X21] : ($true != (cS @ X21)))) | ! [X22] : ((cR @ X22) != (cR @ (sK63 @ X22))))) | ($true != sP1))),
% 0.23/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63])],[f67,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68])).
% 0.23/0.54 thf(f68,plain,(
% 0.23/0.54 ? [X0] : ((cP @ X0) != $true) => ($true != (cP @ sK52))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f69,plain,(
% 0.23/0.54 ? [X3] : ($true = (cS @ X3)) => ($true = (cS @ sK53))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f70,plain,(
% 0.23/0.54 ! [X4] : (? [X5] : ((cR @ X5) != (cR @ X4)) => ((cR @ (sK54 @ X4)) != (cR @ X4)))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f71,plain,(
% 0.23/0.54 ? [X6] : ($true = (cS @ X6)) => ($true = (cS @ sK55))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f72,plain,(
% 0.23/0.54 ? [X7] : ($true != (cP @ X7)) => ($true != (cP @ sK56))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f73,plain,(
% 0.23/0.54 ? [X10] : ! [X11] : ((cR @ X11) = (cR @ X10)) => ! [X11] : ((cR @ sK57) = (cR @ X11))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f74,plain,(
% 0.23/0.54 ? [X12] : ! [X13] : ((cR @ X12) = (cR @ X13)) => ! [X13] : ((cR @ sK58) = (cR @ X13))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f75,plain,(
% 0.23/0.54 ? [X14] : ((cP @ X14) != $true) => ((cP @ sK59) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f76,plain,(
% 0.23/0.54 ? [X17] : ((cS @ X17) = $true) => ((cS @ sK60) = $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f77,plain,(
% 0.23/0.54 ? [X18] : ($true = (cS @ X18)) => ((cS @ sK61) = $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f78,plain,(
% 0.23/0.54 ? [X19] : ($true != (cP @ X19)) => ((cP @ sK62) != $true)),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f79,plain,(
% 0.23/0.54 ! [X22] : (? [X23] : ((cR @ X23) != (cR @ X22)) => ((cR @ X22) != (cR @ (sK63 @ X22))))),
% 0.23/0.54 introduced(choice_axiom,[])).
% 0.23/0.54 thf(f67,plain,(
% 0.23/0.54 (($true = sP1) | ((((? [X0] : ((cP @ X0) != $true) | ! [X1] : ((cS @ X1) != $true)) & (! [X2] : ((cP @ X2) = $true) | ? [X3] : ($true = (cS @ X3)))) | ! [X4] : ? [X5] : ((cR @ X5) != (cR @ X4))) & (((? [X6] : ($true = (cS @ X6)) | ? [X7] : ($true != (cP @ X7))) & (! [X8] : ($true = (cP @ X8)) | ! [X9] : ($true != (cS @ X9)))) | ? [X10] : ! [X11] : ((cR @ X11) = (cR @ X10))))) & (((? [X12] : ! [X13] : ((cR @ X12) = (cR @ X13)) | ((? [X14] : ((cP @ X14) != $true) | ! [X15] : ($true != (cS @ X15))) & (! [X16] : ((cP @ X16) = $true) | ? [X17] : ((cS @ X17) = $true)))) & (((? [X18] : ($true = (cS @ X18)) | ? [X19] : ($true != (cP @ X19))) & (! [X20] : ((cP @ X20) = $true) | ! [X21] : ($true != (cS @ X21)))) | ! [X22] : ? [X23] : ((cR @ X23) != (cR @ X22)))) | ($true != sP1))),
% 0.23/0.54 inference(rectify,[],[f66])).
% 0.23/0.54 thf(f66,plain,(
% 0.23/0.54 (($true = sP1) | ((((? [X0] : ((cP @ X0) != $true) | ! [X1] : ((cS @ X1) != $true)) & (! [X0] : ((cP @ X0) = $true) | ? [X1] : ((cS @ X1) = $true))) | ! [X2] : ? [X3] : ((cR @ X3) != (cR @ X2))) & (((? [X1] : ((cS @ X1) = $true) | ? [X0] : ((cP @ X0) != $true)) & (! [X0] : ((cP @ X0) = $true) | ! [X1] : ((cS @ X1) != $true))) | ? [X2] : ! [X3] : ((cR @ X3) = (cR @ X2))))) & (((? [X2] : ! [X3] : ((cR @ X3) = (cR @ X2)) | ((? [X0] : ((cP @ X0) != $true) | ! [X1] : ((cS @ X1) != $true)) & (! [X0] : ((cP @ X0) = $true) | ? [X1] : ((cS @ X1) = $true)))) & (((? [X1] : ((cS @ X1) = $true) | ? [X0] : ((cP @ X0) != $true)) & (! [X0] : ((cP @ X0) = $true) | ! [X1] : ((cS @ X1) != $true))) | ! [X2] : ? [X3] : ((cR @ X3) != (cR @ X2)))) | ($true != sP1))),
% 0.23/0.54 inference(nnf_transformation,[],[f8])).
% 0.23/0.54 thf(f690,plain,(
% 0.23/0.54 ~spl76_8 | spl76_101 | ~spl76_102 | spl76_79),
% 0.23/0.54 inference(avatar_split_clause,[],[f167,f580,f687,f683,f270])).
% 0.23/0.54 thf(f167,plain,(
% 0.23/0.54 ( ! [X22 : $i] : (((cP @ sK62) != $true) | ($true != sP1) | ((cS @ sK61) = $true) | ($true = (cR @ X22)) | ($true = (cR @ (sK63 @ X22)))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f130])).
% 0.23/0.54 thf(f681,plain,(
% 0.23/0.54 spl76_25 | ~spl76_2 | spl76_100 | spl76_35 | spl76_34),
% 0.23/0.54 inference(avatar_split_clause,[],[f170,f372,f375,f677,f247,f335])).
% 0.23/0.54 thf(f170,plain,(
% 0.23/0.54 ( ! [X19 : $i,X22 : $i] : (($true = (cQ @ sK73)) | ((cS @ X22) = $true) | (sP0 != $true) | ($true = (cR @ sK75)) | ((cQ @ X19) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f137])).
% 0.23/0.54 thf(f137,plain,(
% 0.23/0.54 ( ! [X19 : $i,X22 : $i] : (((cQ @ X19) = (cQ @ sK73)) | ($true = (cR @ sK75)) | (sP0 != $true) | ((cS @ X22) = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f680,plain,(
% 0.23/0.54 spl76_33 | spl76_6 | spl76_100 | spl76_25 | ~spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f169,f247,f335,f677,f264,f367])).
% 0.23/0.54 thf(f169,plain,(
% 0.23/0.54 ( ! [X19 : $i,X22 : $i] : ((sP0 != $true) | ((cQ @ sK73) = $false) | ((cS @ X22) = $true) | ((cQ @ X19) = $true) | ($true = (cR @ sK75))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f137])).
% 0.23/0.54 thf(f675,plain,(
% 0.23/0.54 spl76_99 | spl76_15 | ~spl76_98 | spl76_21 | spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f172,f270,f318,f667,f296,f671])).
% 0.23/0.54 thf(f172,plain,(
% 0.23/0.54 ( ! [X11 : $i] : (((cR @ sK57) = $false) | ($true != (cP @ sK56)) | ($true = (cR @ X11)) | ($true = (cS @ sK55)) | ($true = sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f134])).
% 0.23/0.54 thf(f134,plain,(
% 0.23/0.54 ( ! [X11 : $i] : (($true = (cS @ sK55)) | ($true = sP1) | ((cR @ sK57) = (cR @ X11)) | ($true != (cP @ sK56))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f674,plain,(
% 0.23/0.54 spl76_18 | ~spl76_98 | spl76_8 | spl76_99 | spl76_20),
% 0.23/0.54 inference(avatar_split_clause,[],[f171,f313,f671,f270,f667,f307])).
% 0.23/0.54 thf(f171,plain,(
% 0.23/0.54 ( ! [X11 : $i] : (((cR @ X11) = $false) | ($true = (cS @ sK55)) | ($true = (cR @ sK57)) | ($true = sP1) | ($true != (cP @ sK56))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f134])).
% 0.23/0.54 thf(f665,plain,(
% 0.23/0.54 spl76_89 | spl76_17 | spl76_15 | ~spl76_97 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f174,f270,f661,f296,f304,f621])).
% 0.23/0.54 thf(f174,plain,(
% 0.23/0.54 ( ! [X15 : $i,X13 : $i] : (($true = (cR @ X13)) | ((cR @ sK58) = $false) | ((cP @ sK59) != $true) | ($true != (cS @ X15)) | ($true != sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f132])).
% 0.23/0.54 thf(f132,plain,(
% 0.23/0.54 ( ! [X15 : $i,X13 : $i] : (((cP @ sK59) != $true) | ($true != (cS @ X15)) | ($true != sP1) | ((cR @ sK58) = (cR @ X13))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f664,plain,(
% 0.23/0.54 spl76_87 | spl76_18 | spl76_17 | ~spl76_97 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f173,f270,f661,f304,f307,f612])).
% 0.23/0.54 thf(f173,plain,(
% 0.23/0.54 ( ! [X15 : $i,X13 : $i] : (($true = (cR @ sK58)) | ($true != (cS @ X15)) | ($false = (cR @ X13)) | ($true != sP1) | ((cP @ sK59) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f132])).
% 0.23/0.54 thf(f659,plain,(
% 0.23/0.54 ~spl76_95 | spl76_96 | spl76_47 | spl76_2 | spl76_34),
% 0.23/0.54 inference(avatar_split_clause,[],[f176,f372,f247,f425,f655,f651])).
% 0.23/0.54 thf(f176,plain,(
% 0.23/0.54 ( ! [X7 : $i] : ((sP0 = $true) | ($true = (cQ @ sK67)) | ((cQ @ X7) = $false) | ($true != (cS @ sK69)) | ($true = (cR @ sK68))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f142])).
% 0.23/0.54 thf(f142,plain,(
% 0.23/0.54 ( ! [X7 : $i] : (($true = (cR @ sK68)) | ((cQ @ X7) = (cQ @ sK67)) | ($true != (cS @ sK69)) | (sP0 = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f658,plain,(
% 0.23/0.54 ~spl76_95 | spl76_96 | spl76_6 | spl76_2 | spl76_46),
% 0.23/0.54 inference(avatar_split_clause,[],[f175,f420,f247,f264,f655,f651])).
% 0.23/0.54 thf(f175,plain,(
% 0.23/0.54 ( ! [X7 : $i] : (($true = (cR @ sK68)) | ($true != (cS @ sK69)) | ($true = (cQ @ X7)) | ($false = (cQ @ sK67)) | (sP0 = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f142])).
% 0.23/0.54 thf(f649,plain,(
% 0.23/0.54 ~spl76_13 | ~spl76_9),
% 0.23/0.54 inference(avatar_split_clause,[],[f146,f274,f289])).
% 0.23/0.54 thf(f146,plain,(
% 0.23/0.54 ($true != sP3) | ($true != sP2)),
% 0.23/0.54 inference(cnf_transformation,[],[f96])).
% 0.23/0.54 thf(f648,plain,(
% 0.23/0.54 spl76_9 | spl76_6 | spl76_60 | spl76_94 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f178,f270,f644,f484,f264,f274])).
% 0.23/0.54 thf(f178,plain,(
% 0.23/0.54 ( ! [X0 : $i,X5 : $i] : (($true = (cQ @ X5)) | ($true = (cP @ sK6)) | ((cS @ X0) = $false) | ($true != sP1) | ($true = sP3) | ((cS @ (sK4 @ X0)) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f111])).
% 0.23/0.54 thf(f111,plain,(
% 0.23/0.54 ( ! [X0 : $i,X5 : $i] : (($true = (cP @ sK6)) | ((cS @ X0) != (cS @ (sK4 @ X0))) | ($true = sP3) | ($true != sP1) | ($true = (cQ @ X5))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f647,plain,(
% 0.23/0.54 ~spl76_8 | spl76_9 | spl76_58 | spl76_94 | spl76_6),
% 0.23/0.54 inference(avatar_split_clause,[],[f177,f264,f644,f476,f274,f270])).
% 0.23/0.54 thf(f177,plain,(
% 0.23/0.54 ( ! [X0 : $i,X5 : $i] : (($true != sP1) | ($true = sP3) | ((cS @ X0) = $true) | ($true = (cQ @ X5)) | ($true = (cS @ (sK4 @ X0))) | ($true = (cP @ sK6))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f111])).
% 0.23/0.54 thf(f642,plain,(
% 0.23/0.54 ~spl76_92 | spl76_2 | spl76_93 | spl76_91 | spl76_19 | ~spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f180,f289,f310,f630,f639,f247,f634])).
% 0.23/0.54 thf(f180,plain,(
% 0.23/0.54 ( ! [X35 : $i] : (($true = (cP @ X35)) | ($true = (cQ @ sK43)) | ($true != sP2) | ((cP @ sK45) = $false) | (sP0 = $true) | ($true != (cR @ sK44))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f118])).
% 0.23/0.54 thf(f118,plain,(
% 0.23/0.54 ( ! [X35 : $i] : (($true != (cR @ sK44)) | ((cP @ sK45) = (cP @ X35)) | (sP0 = $true) | ($true = (cQ @ sK43)) | ($true != sP2)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f637,plain,(
% 0.23/0.54 spl76_90 | spl76_27 | ~spl76_13 | spl76_91 | ~spl76_92 | spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f179,f247,f634,f630,f289,f343,f626])).
% 0.23/0.54 thf(f179,plain,(
% 0.23/0.54 ( ! [X35 : $i] : (((cP @ X35) = $false) | ($true != sP2) | ($true != (cR @ sK44)) | (sP0 = $true) | ($true = (cQ @ sK43)) | ((cP @ sK45) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f118])).
% 0.23/0.54 thf(f624,plain,(
% 0.23/0.54 spl76_19 | spl76_88 | spl76_15 | spl76_89 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f182,f270,f621,f296,f616,f310])).
% 0.23/0.54 thf(f182,plain,(
% 0.23/0.54 ( ! [X16 : $i,X13 : $i] : (($true = (cR @ X13)) | ((cR @ sK58) = $false) | ($true != sP1) | ((cS @ sK60) = $true) | ((cP @ X16) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f131])).
% 0.23/0.54 thf(f131,plain,(
% 0.23/0.54 ( ! [X16 : $i,X13 : $i] : (((cP @ X16) = $true) | ((cS @ sK60) = $true) | ((cR @ sK58) = (cR @ X13)) | ($true != sP1)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f619,plain,(
% 0.23/0.54 spl76_19 | ~spl76_8 | spl76_18 | spl76_87 | spl76_88),
% 0.23/0.54 inference(avatar_split_clause,[],[f181,f616,f612,f307,f270,f310])).
% 0.23/0.54 thf(f181,plain,(
% 0.23/0.54 ( ! [X16 : $i,X13 : $i] : (($true != sP1) | ($true = (cR @ sK58)) | ((cP @ X16) = $true) | ($false = (cR @ X13)) | ((cS @ sK60) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f131])).
% 0.23/0.54 thf(f610,plain,(
% 0.23/0.54 ~spl76_84 | spl76_2 | spl76_31 | spl76_86),
% 0.23/0.54 inference(avatar_split_clause,[],[f184,f608,f360,f247,f600])).
% 0.23/0.54 thf(f184,plain,(
% 0.23/0.54 ( ! [X3 : $i,X0 : $i] : (($true != (cR @ X3)) | ((cQ @ (sK64 @ X0)) = $false) | ((cQ @ X0) = $false) | ((cS @ sK65) != $true) | (sP0 = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f144])).
% 0.23/0.54 thf(f144,plain,(
% 0.23/0.54 ( ! [X3 : $i,X0 : $i] : (($true != (cR @ X3)) | ((cQ @ X0) != (cQ @ (sK64 @ X0))) | ((cS @ sK65) != $true) | (sP0 = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f606,plain,(
% 0.23/0.54 spl76_2 | ~spl76_84 | spl76_31 | spl76_85),
% 0.23/0.54 inference(avatar_split_clause,[],[f183,f604,f360,f600,f247])).
% 0.23/0.54 thf(f183,plain,(
% 0.23/0.54 ( ! [X3 : $i,X0 : $i] : (($true != (cR @ X3)) | ((cQ @ (sK64 @ X0)) = $true) | ((cS @ sK65) != $true) | ((cQ @ X0) = $true) | (sP0 = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f144])).
% 0.23/0.54 thf(f598,plain,(
% 0.23/0.54 spl76_83 | spl76_2 | ~spl76_13 | spl76_12 | ~spl76_82),
% 0.23/0.54 inference(avatar_split_clause,[],[f186,f591,f286,f289,f247,f596])).
% 0.23/0.54 thf(f186,plain,(
% 0.23/0.54 ( ! [X28 : $i,X25 : $i] : (($true != sP2) | ((cP @ (sK42 @ X28)) = $false) | ($true != (cQ @ X25)) | (sP0 = $true) | ((cR @ sK40) != $true) | ((cP @ X28) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f120])).
% 0.23/0.54 thf(f120,plain,(
% 0.23/0.54 ( ! [X28 : $i,X25 : $i] : (($true != sP2) | ((cP @ X28) != (cP @ (sK42 @ X28))) | ((cR @ sK40) != $true) | ($true != (cQ @ X25)) | (sP0 = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f594,plain,(
% 0.23/0.54 spl76_2 | ~spl76_13 | spl76_12 | spl76_81 | ~spl76_82),
% 0.23/0.54 inference(avatar_split_clause,[],[f185,f591,f588,f286,f289,f247])).
% 0.23/0.54 thf(f185,plain,(
% 0.23/0.54 ( ! [X28 : $i,X25 : $i] : (((cR @ sK40) != $true) | ($true != sP2) | ($true = (cP @ (sK42 @ X28))) | ((cP @ X28) = $true) | (sP0 = $true) | ($true != (cQ @ X25))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f120])).
% 0.23/0.54 thf(f586,plain,(
% 0.23/0.54 spl76_19 | spl76_80 | ~spl76_8 | spl76_17),
% 0.23/0.54 inference(avatar_split_clause,[],[f188,f304,f270,f584,f310])).
% 0.23/0.54 thf(f188,plain,(
% 0.23/0.54 ( ! [X21 : $i,X22 : $i,X20 : $i] : (((cR @ X22) = $false) | ($true != sP1) | ((cP @ X20) = $true) | ($true != (cS @ X21)) | ($false = (cR @ (sK63 @ X22)))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f129])).
% 0.23/0.54 thf(f129,plain,(
% 0.23/0.54 ( ! [X21 : $i,X22 : $i,X20 : $i] : (($true != (cS @ X21)) | ($true != sP1) | ((cP @ X20) = $true) | ((cR @ X22) != (cR @ (sK63 @ X22)))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f582,plain,(
% 0.23/0.54 spl76_79 | spl76_17 | spl76_19 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f187,f270,f310,f304,f580])).
% 0.23/0.54 thf(f187,plain,(
% 0.23/0.54 ( ! [X21 : $i,X22 : $i,X20 : $i] : (($true = (cR @ X22)) | ((cP @ X20) = $true) | ($true != (cS @ X21)) | ($true != sP1) | ($true = (cR @ (sK63 @ X22)))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f129])).
% 0.23/0.54 thf(f578,plain,(
% 0.23/0.54 ~spl76_78 | spl76_17 | spl76_8 | spl76_57),
% 0.23/0.54 inference(avatar_split_clause,[],[f190,f472,f270,f304,f574])).
% 0.23/0.54 thf(f190,plain,(
% 0.23/0.54 ( ! [X1 : $i,X4 : $i] : (((cR @ (sK54 @ X4)) = $false) | ($true = sP1) | ($true != (cP @ sK52)) | ($false = (cR @ X4)) | ((cS @ X1) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f136])).
% 0.23/0.54 thf(f136,plain,(
% 0.23/0.54 ( ! [X1 : $i,X4 : $i] : (((cR @ (sK54 @ X4)) != (cR @ X4)) | ($true = sP1) | ((cS @ X1) != $true) | ($true != (cP @ sK52))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f577,plain,(
% 0.23/0.54 spl76_17 | spl76_8 | ~spl76_78 | spl76_56),
% 0.23/0.54 inference(avatar_split_clause,[],[f189,f468,f574,f270,f304])).
% 0.23/0.54 thf(f189,plain,(
% 0.23/0.54 ( ! [X1 : $i,X4 : $i] : (($true = (cR @ X4)) | ($true = sP1) | ($true = (cR @ (sK54 @ X4))) | ((cS @ X1) != $true) | ($true != (cP @ sK52))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f136])).
% 0.23/0.54 thf(f572,plain,(
% 0.23/0.54 spl76_22 | ~spl76_9 | spl76_8 | spl76_7 | spl76_77 | spl76_6),
% 0.23/0.54 inference(avatar_split_clause,[],[f192,f264,f569,f267,f270,f274,f323])).
% 0.23/0.54 thf(f192,plain,(
% 0.23/0.54 ( ! [X31 : $i,X32 : $i,X33 : $i] : (((cP @ X33) != $true) | ((cS @ X31) = $false) | ($true != sP3) | ($true = (cS @ sK19)) | ($true = sP1) | ((cQ @ X32) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f102])).
% 0.23/0.54 thf(f102,plain,(
% 0.23/0.54 ( ! [X31 : $i,X32 : $i,X33 : $i] : (($true != sP3) | ((cQ @ X32) = $true) | ($true = sP1) | ((cP @ X33) != $true) | ((cS @ X31) = (cS @ sK19))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f567,plain,(
% 0.23/0.54 spl76_8 | spl76_76 | spl76_7 | spl76_6 | spl76_25 | ~spl76_9),
% 0.23/0.54 inference(avatar_split_clause,[],[f191,f274,f335,f264,f267,f564,f270])).
% 0.23/0.54 thf(f191,plain,(
% 0.23/0.54 ( ! [X31 : $i,X32 : $i,X33 : $i] : (((cS @ sK19) = $false) | ($true = sP1) | ((cQ @ X32) = $true) | ($true != sP3) | ((cP @ X33) != $true) | ($true = (cS @ X31))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f102])).
% 0.23/0.54 thf(f562,plain,(
% 0.23/0.54 ~spl76_9 | spl76_6 | spl76_22 | spl76_75 | spl76_73 | ~spl76_8),
% 0.23/0.54 inference(avatar_split_clause,[],[f194,f270,f550,f559,f323,f264,f274])).
% 0.23/0.54 thf(f194,plain,(
% 0.23/0.54 ( ! [X47 : $i,X43 : $i] : (($true = (cS @ sK25)) | ($true = (cQ @ X47)) | ((cS @ X43) = $false) | ($true != sP3) | ($true != sP1) | ($true = (cP @ sK27))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f97])).
% 0.23/0.54 thf(f97,plain,(
% 0.23/0.54 ( ! [X47 : $i,X43 : $i] : (($true = (cP @ sK27)) | ($true != sP1) | ((cS @ X43) = (cS @ sK25)) | ($true != sP3) | ($true = (cQ @ X47))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f557,plain,(
% 0.23/0.54 spl76_6 | spl76_73 | ~spl76_8 | spl76_74 | spl76_25 | ~spl76_9),
% 0.23/0.54 inference(avatar_split_clause,[],[f193,f274,f335,f554,f270,f550,f264])).
% 0.23/0.54 thf(f193,plain,(
% 0.23/0.54 ( ! [X47 : $i,X43 : $i] : (($true != sP1) | ($true = (cQ @ X47)) | ($true != sP3) | ($true = (cS @ X43)) | ($true = (cP @ sK27)) | ($false = (cS @ sK25))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f97])).
% 0.23/0.54 thf(f548,plain,(
% 0.23/0.54 spl76_12 | spl76_15 | spl76_2 | spl76_45 | spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f196,f289,f416,f247,f296,f286])).
% 0.23/0.54 thf(f196,plain,(
% 0.23/0.54 ( ! [X21 : $i,X22 : $i,X20 : $i] : (($true != (cQ @ X21)) | ((cP @ (sK39 @ X22)) = $false) | (sP0 = $true) | ($false = (cP @ X22)) | ($true = sP2) | ($true = (cR @ X20))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f121])).
% 0.23/0.54 thf(f121,plain,(
% 0.23/0.54 ( ! [X21 : $i,X22 : $i,X20 : $i] : (($true = sP2) | ($true = (cR @ X20)) | ((cP @ (sK39 @ X22)) != (cP @ X22)) | (sP0 = $true) | ($true != (cQ @ X21))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f547,plain,(
% 0.23/0.54 spl76_13 | spl76_44 | spl76_15 | spl76_12 | spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f195,f247,f286,f296,f412,f289])).
% 0.23/0.54 thf(f195,plain,(
% 0.23/0.54 ( ! [X21 : $i,X22 : $i,X20 : $i] : (($true = sP2) | ($true = (cR @ X20)) | (sP0 = $true) | ($true = (cP @ X22)) | ((cP @ (sK39 @ X22)) = $true) | ($true != (cQ @ X21))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f121])).
% 0.23/0.54 thf(f546,plain,(
% 0.23/0.54 spl76_24 | spl76_9 | ~spl76_8 | spl76_25 | spl76_72 | ~spl76_71),
% 0.23/0.54 inference(avatar_split_clause,[],[f198,f538,f542,f335,f270,f274,f331])).
% 0.23/0.54 thf(f198,plain,(
% 0.23/0.54 ( ! [X7 : $i] : (($true = (cS @ X7)) | ($true = sP3) | ($true = (cP @ sK8)) | ((cS @ sK7) = $false) | ((cQ @ sK9) != $true) | ($true != sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f109])).
% 0.23/0.54 thf(f109,plain,(
% 0.23/0.54 ( ! [X7 : $i] : (((cS @ sK7) = (cS @ X7)) | ($true != sP1) | ($true = sP3) | ($true = (cP @ sK8)) | ((cQ @ sK9) != $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f545,plain,(
% 0.23/0.54 spl76_22 | ~spl76_8 | ~spl76_71 | spl76_72 | spl76_9 | spl76_23),
% 0.23/0.54 inference(avatar_split_clause,[],[f197,f326,f274,f542,f538,f270,f323])).
% 0.23/0.54 thf(f197,plain,(
% 0.23/0.54 ( ! [X7 : $i] : (((cQ @ sK9) != $true) | ($true != sP1) | ($true = (cP @ sK8)) | ((cS @ sK7) = $true) | ((cS @ X7) = $false) | ($true = sP3)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f109])).
% 0.23/0.54 thf(f536,plain,(
% 0.23/0.54 ~spl76_9 | spl76_69 | ~spl76_8 | ~spl76_67 | spl76_70),
% 0.23/0.54 inference(avatar_split_clause,[],[f200,f534,f522,f270,f529,f274])).
% 0.23/0.54 thf(f200,plain,(
% 0.23/0.54 ( ! [X40 : $i] : (($true != sP3) | ((cS @ (sK24 @ X40)) = $false) | ($true = (cP @ sK22)) | ($true != sP1) | ((cS @ X40) = $false) | ((cQ @ sK23) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f99])).
% 0.23/0.54 thf(f99,plain,(
% 0.23/0.54 ( ! [X40 : $i] : (((cQ @ sK23) != $true) | ($true != sP3) | ($true != sP1) | ($true = (cP @ sK22)) | ((cS @ (sK24 @ X40)) != (cS @ X40))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f532,plain,(
% 0.23/0.54 ~spl76_67 | ~spl76_9 | spl76_68 | ~spl76_8 | spl76_69),
% 0.23/0.54 inference(avatar_split_clause,[],[f199,f529,f270,f526,f274,f522])).
% 0.23/0.54 thf(f199,plain,(
% 0.23/0.54 ( ! [X40 : $i] : (($true = (cP @ sK22)) | ((cQ @ sK23) != $true) | ((cS @ (sK24 @ X40)) = $true) | ($true != sP3) | ($true != sP1) | ($true = (cS @ X40))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f99])).
% 0.23/0.54 thf(f520,plain,(
% 0.23/0.54 spl76_41 | spl76_66 | ~spl76_2 | spl76_15 | spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f202,f289,f296,f247,f516,f400])).
% 0.23/0.54 thf(f202,plain,(
% 0.23/0.54 ( ! [X2 : $i,X4 : $i] : (((cP @ X4) = $false) | ($true = (cR @ X2)) | ($true = (cQ @ sK29)) | ($true = sP2) | (sP0 != $true) | ($false = (cP @ (sK30 @ X4)))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f127])).
% 0.23/0.54 thf(f127,plain,(
% 0.23/0.54 ( ! [X2 : $i,X4 : $i] : (($true = (cQ @ sK29)) | (sP0 != $true) | ($true = sP2) | ($true = (cR @ X2)) | ((cP @ X4) != (cP @ (sK30 @ X4)))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f519,plain,(
% 0.23/0.54 spl76_15 | spl76_66 | spl76_13 | spl76_39 | ~spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f201,f247,f392,f289,f516,f296])).
% 0.23/0.54 thf(f201,plain,(
% 0.23/0.54 ( ! [X2 : $i,X4 : $i] : (($true = (cP @ X4)) | ($true = (cP @ (sK30 @ X4))) | ($true = (cQ @ sK29)) | ($true = (cR @ X2)) | ($true = sP2) | (sP0 != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f127])).
% 0.23/0.54 thf(f514,plain,(
% 0.23/0.54 spl76_13 | spl76_54 | spl76_2 | ~spl76_65 | spl76_27 | spl76_12),
% 0.23/0.54 inference(avatar_split_clause,[],[f204,f286,f343,f510,f247,f459,f289])).
% 0.23/0.54 thf(f204,plain,(
% 0.23/0.54 ( ! [X15 : $i,X13 : $i] : ((sP0 = $true) | ($true = (cP @ sK34)) | ($true != (cQ @ X15)) | ($true = sP2) | ($true != (cR @ sK35)) | ((cP @ X13) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f124])).
% 0.23/0.54 thf(f124,plain,(
% 0.23/0.54 ( ! [X15 : $i,X13 : $i] : (((cP @ X13) = (cP @ sK34)) | ($true = sP2) | (sP0 = $true) | ($true != (cQ @ X15)) | ($true != (cR @ sK35))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f513,plain,(
% 0.23/0.54 ~spl76_65 | spl76_53 | spl76_12 | spl76_2 | spl76_19 | spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f203,f289,f310,f247,f286,f454,f510])).
% 0.23/0.54 thf(f203,plain,(
% 0.23/0.54 ( ! [X15 : $i,X13 : $i] : (($true != (cQ @ X15)) | ($false = (cP @ sK34)) | ((cP @ X13) = $true) | (sP0 = $true) | ($true != (cR @ sK35)) | ($true = sP2)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f124])).
% 0.23/0.54 thf(f508,plain,(
% 0.23/0.54 spl76_63 | ~spl76_13 | ~spl76_2 | ~spl76_64 | spl76_16),
% 0.23/0.54 inference(avatar_split_clause,[],[f206,f300,f504,f247,f289,f500])).
% 0.23/0.54 thf(f206,plain,(
% 0.23/0.54 ( ! [X46 : $i] : (($true != sP2) | ($true = (cQ @ sK49)) | ($true != (cR @ sK50)) | ((cP @ X46) = $false) | ($false = (cP @ (sK51 @ X46))) | (sP0 != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f114])).
% 0.23/0.54 thf(f114,plain,(
% 0.23/0.54 ( ! [X46 : $i] : (($true != (cR @ sK50)) | ((cP @ X46) != (cP @ (sK51 @ X46))) | (sP0 != $true) | ($true != sP2) | ($true = (cQ @ sK49))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f507,plain,(
% 0.23/0.54 spl76_14 | ~spl76_13 | spl76_63 | ~spl76_64 | ~spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f205,f247,f504,f500,f289,f293])).
% 0.23/0.54 thf(f205,plain,(
% 0.23/0.54 ( ! [X46 : $i] : ((sP0 != $true) | ($true != sP2) | ($true = (cP @ X46)) | ($true = (cP @ (sK51 @ X46))) | ($true = (cQ @ sK49)) | ($true != (cR @ sK50))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f114])).
% 0.23/0.54 thf(f498,plain,(
% 0.23/0.54 spl76_11 | ~spl76_61 | spl76_8 | spl76_62 | spl76_9),
% 0.23/0.54 inference(avatar_split_clause,[],[f208,f274,f494,f270,f490,f282])).
% 0.23/0.54 thf(f208,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (($true = (cP @ sK10)) | ((cQ @ sK11) != $true) | ((cS @ (sK12 @ X16)) = $false) | ($false = (cS @ X16)) | ($true = sP1) | ($true = sP3)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f107])).
% 0.23/0.54 thf(f107,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (((cQ @ sK11) != $true) | ($true = sP3) | ($true = (cP @ sK10)) | ($true = sP1) | ((cS @ (sK12 @ X16)) != (cS @ X16))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f497,plain,(
% 0.23/0.54 spl76_8 | ~spl76_61 | spl76_9 | spl76_62 | spl76_10),
% 0.23/0.54 inference(avatar_split_clause,[],[f207,f278,f494,f274,f490,f270])).
% 0.23/0.54 thf(f207,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (($true = (cP @ sK10)) | ($true = (cS @ (sK12 @ X16))) | ($true = sP1) | ((cQ @ sK11) != $true) | ($true = sP3) | ($true = (cS @ X16))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f107])).
% 0.23/0.54 thf(f488,plain,(
% 0.23/0.54 spl76_5 | ~spl76_2 | spl76_31 | spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f210,f335,f360,f247,f260])).
% 0.23/0.54 thf(f210,plain,(
% 0.23/0.54 ( ! [X16 : $i,X14 : $i,X15 : $i] : (($true = (cS @ X14)) | ((cQ @ (sK72 @ X16)) = $false) | ($true != (cR @ X15)) | (sP0 != $true) | ((cQ @ X16) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f139])).
% 0.23/0.54 thf(f139,plain,(
% 0.23/0.54 ( ! [X16 : $i,X14 : $i,X15 : $i] : (($true = (cS @ X14)) | (sP0 != $true) | ((cQ @ X16) != (cQ @ (sK72 @ X16))) | ($true != (cR @ X15))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f487,plain,(
% 0.23/0.54 spl76_25 | spl76_1 | spl76_31 | ~spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f209,f247,f360,f244,f335])).
% 0.23/0.54 thf(f209,plain,(
% 0.23/0.54 ( ! [X16 : $i,X14 : $i,X15 : $i] : ((sP0 != $true) | ((cQ @ X16) = $true) | ($true = (cQ @ (sK72 @ X16))) | ($true = (cS @ X14)) | ($true != (cR @ X15))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f139])).
% 0.23/0.54 thf(f486,plain,(
% 0.23/0.54 spl76_9 | ~spl76_8 | spl76_60 | spl76_7 | ~spl76_59),
% 0.23/0.54 inference(avatar_split_clause,[],[f212,f479,f267,f484,f270,f274])).
% 0.23/0.54 thf(f212,plain,(
% 0.23/0.54 ( ! [X2 : $i,X0 : $i] : (((cP @ X2) != $true) | ((cQ @ sK5) != $true) | ((cS @ X0) = $false) | ((cS @ (sK4 @ X0)) = $false) | ($true != sP1) | ($true = sP3)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f112])).
% 0.23/0.54 thf(f112,plain,(
% 0.23/0.54 ( ! [X2 : $i,X0 : $i] : (($true != sP1) | ($true = sP3) | ((cP @ X2) != $true) | ((cQ @ sK5) != $true) | ((cS @ X0) != (cS @ (sK4 @ X0)))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f482,plain,(
% 0.23/0.54 spl76_58 | ~spl76_59 | spl76_9 | ~spl76_8 | spl76_7),
% 0.23/0.54 inference(avatar_split_clause,[],[f211,f267,f270,f274,f479,f476])).
% 0.23/0.54 thf(f211,plain,(
% 0.23/0.54 ( ! [X2 : $i,X0 : $i] : (($true = sP3) | ((cQ @ sK5) != $true) | ($true = (cS @ (sK4 @ X0))) | ((cS @ X0) = $true) | ((cP @ X2) != $true) | ($true != sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f112])).
% 0.23/0.54 thf(f474,plain,(
% 0.23/0.54 spl76_8 | spl76_57 | spl76_55 | spl76_19),
% 0.23/0.54 inference(avatar_split_clause,[],[f214,f310,f464,f472,f270])).
% 0.23/0.54 thf(f214,plain,(
% 0.23/0.54 ( ! [X2 : $i,X4 : $i] : (((cP @ X2) = $true) | ($true = (cS @ sK53)) | ($false = (cR @ X4)) | ((cR @ (sK54 @ X4)) = $false) | ($true = sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f135])).
% 0.23/0.54 thf(f135,plain,(
% 0.23/0.54 ( ! [X2 : $i,X4 : $i] : (((cP @ X2) = $true) | ($true = sP1) | ((cR @ (sK54 @ X4)) != (cR @ X4)) | ($true = (cS @ sK53))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f470,plain,(
% 0.23/0.54 spl76_19 | spl76_55 | spl76_8 | spl76_56),
% 0.23/0.54 inference(avatar_split_clause,[],[f213,f468,f270,f464,f310])).
% 0.23/0.54 thf(f213,plain,(
% 0.23/0.54 ( ! [X2 : $i,X4 : $i] : (((cP @ X2) = $true) | ($true = (cR @ (sK54 @ X4))) | ($true = sP1) | ($true = (cS @ sK53)) | ($true = (cR @ X4))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f135])).
% 0.23/0.54 thf(f462,plain,(
% 0.23/0.54 spl76_27 | spl76_2 | spl76_54 | spl76_13 | spl76_15 | spl76_52),
% 0.23/0.54 inference(avatar_split_clause,[],[f216,f450,f296,f289,f459,f247,f343])).
% 0.23/0.54 thf(f216,plain,(
% 0.23/0.54 ( ! [X16 : $i,X13 : $i] : (((cP @ X13) = $false) | (sP0 = $true) | ($true = sP2) | ($true = (cQ @ sK36)) | ($true = (cR @ X16)) | ($true = (cP @ sK34))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f123])).
% 0.23/0.54 thf(f123,plain,(
% 0.23/0.54 ( ! [X16 : $i,X13 : $i] : ((sP0 = $true) | ((cP @ X13) = (cP @ sK34)) | ($true = (cR @ X16)) | ($true = sP2) | ($true = (cQ @ sK36))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f457,plain,(
% 0.23/0.54 spl76_2 | spl76_15 | spl76_52 | spl76_13 | spl76_53 | spl76_19),
% 0.23/0.54 inference(avatar_split_clause,[],[f215,f310,f454,f289,f450,f296,f247])).
% 0.23/0.54 thf(f215,plain,(
% 0.23/0.54 ( ! [X16 : $i,X13 : $i] : (($true = (cR @ X16)) | ($true = sP2) | ((cP @ X13) = $true) | ($false = (cP @ sK34)) | (sP0 = $true) | ($true = (cQ @ sK36))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f123])).
% 0.23/0.54 thf(f448,plain,(
% 0.23/0.54 spl76_19 | ~spl76_51 | ~spl76_2 | spl76_12 | spl76_50 | ~spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f218,f289,f439,f286,f247,f444,f310])).
% 0.23/0.54 thf(f218,plain,(
% 0.23/0.54 ( ! [X39 : $i,X37 : $i] : (((cP @ sK46) = $false) | ($true != (cQ @ X39)) | ($true = (cP @ X37)) | ($true != (cR @ sK47)) | ($true != sP2) | (sP0 != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f116])).
% 0.23/0.54 thf(f116,plain,(
% 0.23/0.54 ( ! [X39 : $i,X37 : $i] : (((cP @ sK46) = (cP @ X37)) | ($true != sP2) | (sP0 != $true) | ($true != (cQ @ X39)) | ($true != (cR @ sK47))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f447,plain,(
% 0.23/0.54 ~spl76_2 | spl76_27 | ~spl76_51 | spl76_48 | spl76_12 | ~spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f217,f289,f286,f430,f444,f343,f247])).
% 0.23/0.54 thf(f217,plain,(
% 0.23/0.54 ( ! [X39 : $i,X37 : $i] : (($true = (cP @ sK46)) | ($true != sP2) | ($true != (cQ @ X39)) | ($false = (cP @ X37)) | (sP0 != $true) | ($true != (cR @ sK47))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f116])).
% 0.23/0.54 thf(f442,plain,(
% 0.23/0.54 spl76_19 | ~spl76_2 | ~spl76_13 | spl76_49 | spl76_15 | spl76_50),
% 0.23/0.54 inference(avatar_split_clause,[],[f220,f439,f296,f434,f289,f247,f310])).
% 0.23/0.54 thf(f220,plain,(
% 0.23/0.54 ( ! [X40 : $i,X37 : $i] : (($true = (cQ @ sK48)) | (sP0 != $true) | ($true = (cR @ X40)) | ($true != sP2) | ($true = (cP @ X37)) | ((cP @ sK46) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f115])).
% 0.23/0.54 thf(f115,plain,(
% 0.23/0.54 ( ! [X40 : $i,X37 : $i] : (($true = (cQ @ sK48)) | ($true != sP2) | ($true = (cR @ X40)) | (sP0 != $true) | ((cP @ sK46) = (cP @ X37))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f437,plain,(
% 0.23/0.54 spl76_48 | ~spl76_2 | spl76_27 | spl76_15 | ~spl76_13 | spl76_49),
% 0.23/0.54 inference(avatar_split_clause,[],[f219,f434,f289,f296,f343,f247,f430])).
% 0.23/0.54 thf(f219,plain,(
% 0.23/0.54 ( ! [X40 : $i,X37 : $i] : (($true != sP2) | ($true = (cQ @ sK48)) | ($true = (cR @ X40)) | (sP0 != $true) | ($true = (cP @ sK46)) | ($false = (cP @ X37))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f115])).
% 0.23/0.54 thf(f428,plain,(
% 0.23/0.54 spl76_31 | spl76_34 | spl76_25 | spl76_47 | spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f222,f247,f425,f335,f372,f360])).
% 0.23/0.54 thf(f222,plain,(
% 0.23/0.54 ( ! [X10 : $i,X11 : $i,X7 : $i] : (($true = (cQ @ sK67)) | ((cQ @ X7) = $false) | ($true = (cS @ X10)) | ($true != (cR @ X11)) | (sP0 = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f141])).
% 0.23/0.54 thf(f141,plain,(
% 0.23/0.54 ( ! [X10 : $i,X11 : $i,X7 : $i] : ((sP0 = $true) | ((cQ @ X7) = (cQ @ sK67)) | ($true = (cS @ X10)) | ($true != (cR @ X11))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f423,plain,(
% 0.23/0.54 spl76_6 | spl76_2 | spl76_46 | spl76_31 | spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f221,f335,f360,f420,f247,f264])).
% 0.23/0.54 thf(f221,plain,(
% 0.23/0.54 ( ! [X10 : $i,X11 : $i,X7 : $i] : (($false = (cQ @ sK67)) | ($true = (cQ @ X7)) | (sP0 = $true) | ($true != (cR @ X11)) | ($true = (cS @ X10))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f141])).
% 0.23/0.54 thf(f418,plain,(
% 0.23/0.54 spl76_45 | ~spl76_43 | spl76_2 | spl76_13 | spl76_42),
% 0.23/0.54 inference(avatar_split_clause,[],[f224,f404,f289,f247,f408,f416])).
% 0.23/0.54 thf(f224,plain,(
% 0.23/0.54 ( ! [X22 : $i] : (((cR @ sK38) != $true) | ($false = (cP @ X22)) | (sP0 = $true) | ((cP @ (sK39 @ X22)) = $false) | ($true = (cQ @ sK37)) | ($true = sP2)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f122])).
% 0.23/0.54 thf(f122,plain,(
% 0.23/0.54 ( ! [X22 : $i] : ((sP0 = $true) | ((cP @ (sK39 @ X22)) != (cP @ X22)) | ($true = sP2) | ((cR @ sK38) != $true) | ($true = (cQ @ sK37))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f414,plain,(
% 0.23/0.54 spl76_2 | spl76_42 | ~spl76_43 | spl76_44 | spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f223,f289,f412,f408,f404,f247])).
% 0.23/0.54 thf(f223,plain,(
% 0.23/0.54 ( ! [X22 : $i] : (((cP @ (sK39 @ X22)) = $true) | ((cR @ sK38) != $true) | ($true = (cQ @ sK37)) | ($true = sP2) | ($true = (cP @ X22)) | (sP0 = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f122])).
% 0.23/0.54 thf(f402,plain,(
% 0.23/0.54 spl76_13 | ~spl76_2 | spl76_12 | spl76_41 | ~spl76_40),
% 0.23/0.54 inference(avatar_split_clause,[],[f226,f395,f400,f286,f247,f289])).
% 0.23/0.54 thf(f226,plain,(
% 0.23/0.54 ( ! [X1 : $i,X4 : $i] : (((cP @ X4) = $false) | ($false = (cP @ (sK30 @ X4))) | ($true != (cR @ sK28)) | ((cQ @ X1) != $true) | (sP0 != $true) | ($true = sP2)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f128])).
% 0.23/0.54 thf(f128,plain,(
% 0.23/0.54 ( ! [X1 : $i,X4 : $i] : (($true != (cR @ sK28)) | ($true = sP2) | ((cQ @ X1) != $true) | (sP0 != $true) | ((cP @ X4) != (cP @ (sK30 @ X4)))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f398,plain,(
% 0.23/0.54 spl76_13 | spl76_12 | spl76_39 | ~spl76_40 | ~spl76_2),
% 0.23/0.54 inference(avatar_split_clause,[],[f225,f247,f395,f392,f286,f289])).
% 0.23/0.54 thf(f225,plain,(
% 0.23/0.54 ( ! [X1 : $i,X4 : $i] : ((sP0 != $true) | ($true = (cP @ X4)) | ($true = (cP @ (sK30 @ X4))) | ($true = sP2) | ($true != (cR @ sK28)) | ((cQ @ X1) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f128])).
% 0.23/0.54 thf(f390,plain,(
% 0.23/0.54 spl76_7 | ~spl76_36 | ~spl76_9 | spl76_8 | spl76_38),
% 0.23/0.54 inference(avatar_split_clause,[],[f228,f388,f270,f274,f380,f267])).
% 0.23/0.54 thf(f228,plain,(
% 0.23/0.54 ( ! [X26 : $i,X24 : $i] : (($true != (cP @ X26)) | ($true = sP1) | ((cS @ X24) = $false) | ($true != sP3) | ($true != (cQ @ sK17)) | ((cS @ (sK16 @ X24)) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f104])).
% 0.23/0.54 thf(f104,plain,(
% 0.23/0.54 ( ! [X26 : $i,X24 : $i] : (($true = sP1) | ($true != sP3) | ($true != (cQ @ sK17)) | ($true != (cP @ X26)) | ((cS @ (sK16 @ X24)) != (cS @ X24))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f386,plain,(
% 0.23/0.54 spl76_8 | ~spl76_9 | ~spl76_36 | spl76_37 | spl76_7),
% 0.23/0.54 inference(avatar_split_clause,[],[f227,f267,f384,f380,f274,f270])).
% 0.23/0.54 thf(f227,plain,(
% 0.23/0.54 ( ! [X26 : $i,X24 : $i] : (($true != sP3) | ($true != (cQ @ sK17)) | ($true = (cS @ (sK16 @ X24))) | ($true != (cP @ X26)) | ($true = (cS @ X24)) | ($true = sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f104])).
% 0.23/0.54 thf(f378,plain,(
% 0.23/0.54 spl76_34 | ~spl76_32 | ~spl76_2 | spl76_31 | spl76_35),
% 0.23/0.54 inference(avatar_split_clause,[],[f230,f375,f360,f247,f363,f372])).
% 0.23/0.54 thf(f230,plain,(
% 0.23/0.54 ( ! [X21 : $i,X19 : $i] : (((cQ @ X19) = $false) | ($true = (cQ @ sK73)) | (sP0 != $true) | ((cR @ X21) != $true) | ($true != (cS @ sK74))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f138])).
% 0.23/0.54 thf(f138,plain,(
% 0.23/0.54 ( ! [X21 : $i,X19 : $i] : ((sP0 != $true) | ((cR @ X21) != $true) | ((cQ @ X19) = (cQ @ sK73)) | ($true != (cS @ sK74))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f370,plain,(
% 0.23/0.54 spl76_31 | ~spl76_32 | spl76_6 | ~spl76_2 | spl76_33),
% 0.23/0.54 inference(avatar_split_clause,[],[f229,f367,f247,f264,f363,f360])).
% 0.23/0.54 thf(f229,plain,(
% 0.23/0.54 ( ! [X21 : $i,X19 : $i] : ((sP0 != $true) | ((cQ @ X19) = $true) | ((cQ @ sK73) = $false) | ($true != (cS @ sK74)) | ((cR @ X21) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f138])).
% 0.23/0.54 thf(f358,plain,(
% 0.23/0.54 spl76_13 | ~spl76_2 | spl76_30 | spl76_19 | ~spl76_28 | spl76_29),
% 0.23/0.54 inference(avatar_split_clause,[],[f232,f350,f346,f310,f355,f247,f289])).
% 0.23/0.54 thf(f232,plain,(
% 0.23/0.54 ( ! [X11 : $i] : (($true = (cP @ X11)) | ((cQ @ sK31) = $true) | ($true != (cR @ sK32)) | ($true = sP2) | ((cP @ sK33) = $false) | (sP0 != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f126])).
% 0.23/0.54 thf(f126,plain,(
% 0.23/0.54 ( ! [X11 : $i] : (((cQ @ sK31) = $true) | ((cP @ sK33) = (cP @ X11)) | ($true != (cR @ sK32)) | ($true = sP2) | (sP0 != $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f353,plain,(
% 0.23/0.54 spl76_26 | spl76_27 | ~spl76_28 | spl76_29 | ~spl76_2 | spl76_13),
% 0.23/0.54 inference(avatar_split_clause,[],[f231,f289,f247,f350,f346,f343,f339])).
% 0.23/0.54 thf(f231,plain,(
% 0.23/0.54 ( ! [X11 : $i] : (($true != (cR @ sK32)) | ((cP @ X11) = $false) | (sP0 != $true) | ($true = sP2) | ((cQ @ sK31) = $true) | ((cP @ sK33) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f126])).
% 0.23/0.54 thf(f337,plain,(
% 0.23/0.54 spl76_9 | spl76_24 | spl76_6 | ~spl76_8 | spl76_7 | spl76_25),
% 0.23/0.54 inference(avatar_split_clause,[],[f234,f335,f267,f270,f264,f331,f274])).
% 0.23/0.54 thf(f234,plain,(
% 0.23/0.54 ( ! [X8 : $i,X9 : $i,X7 : $i] : (($true = sP3) | ((cS @ sK7) = $false) | ((cP @ X9) != $true) | ($true = (cQ @ X8)) | ($true != sP1) | ($true = (cS @ X7))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f110])).
% 0.23/0.54 thf(f110,plain,(
% 0.23/0.54 ( ! [X8 : $i,X9 : $i,X7 : $i] : (((cP @ X9) != $true) | ($true = (cQ @ X8)) | ($true = sP3) | ($true != sP1) | ((cS @ sK7) = (cS @ X7))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f329,plain,(
% 0.23/0.54 spl76_22 | spl76_23 | spl76_6 | spl76_9 | ~spl76_8 | spl76_7),
% 0.23/0.54 inference(avatar_split_clause,[],[f233,f267,f270,f274,f264,f326,f323])).
% 0.23/0.54 thf(f233,plain,(
% 0.23/0.54 ( ! [X8 : $i,X9 : $i,X7 : $i] : (((cS @ sK7) = $true) | ($true != sP1) | ((cP @ X9) != $true) | ($true = (cQ @ X8)) | ($true = sP3) | ((cS @ X7) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f110])).
% 0.23/0.54 thf(f321,plain,(
% 0.23/0.54 spl76_19 | spl76_15 | spl76_21 | spl76_8 | spl76_17),
% 0.23/0.54 inference(avatar_split_clause,[],[f236,f304,f270,f318,f296,f310])).
% 0.23/0.54 thf(f236,plain,(
% 0.23/0.54 ( ! [X11 : $i,X8 : $i,X9 : $i] : (($true = sP1) | ($true = (cR @ X11)) | ($true = (cP @ X8)) | ($true != (cS @ X9)) | ((cR @ sK57) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f133])).
% 0.23/0.54 thf(f133,plain,(
% 0.23/0.54 ( ! [X11 : $i,X8 : $i,X9 : $i] : (((cR @ sK57) = (cR @ X11)) | ($true != (cS @ X9)) | ($true = sP1) | ($true = (cP @ X8))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f80])).
% 0.23/0.54 thf(f316,plain,(
% 0.23/0.54 spl76_8 | spl76_17 | spl76_18 | spl76_19 | spl76_20),
% 0.23/0.54 inference(avatar_split_clause,[],[f235,f313,f310,f307,f304,f270])).
% 0.23/0.54 thf(f235,plain,(
% 0.23/0.54 ( ! [X11 : $i,X8 : $i,X9 : $i] : (((cR @ X11) = $false) | ($true = (cP @ X8)) | ($true != (cS @ X9)) | ($true = (cR @ sK57)) | ($true = sP1)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f133])).
% 0.23/0.54 thf(f302,plain,(
% 0.23/0.54 spl76_15 | spl76_16 | ~spl76_13 | ~spl76_2 | spl76_12),
% 0.23/0.54 inference(avatar_split_clause,[],[f238,f286,f247,f289,f300,f296])).
% 0.23/0.54 thf(f238,plain,(
% 0.23/0.54 ( ! [X46 : $i,X44 : $i,X45 : $i] : (((cP @ X46) = $false) | ($true != sP2) | ($true != (cQ @ X45)) | ($false = (cP @ (sK51 @ X46))) | (sP0 != $true) | ($true = (cR @ X44))) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f113])).
% 0.23/0.54 thf(f113,plain,(
% 0.23/0.54 ( ! [X46 : $i,X44 : $i,X45 : $i] : (($true != sP2) | (sP0 != $true) | ($true != (cQ @ X45)) | ((cP @ X46) != (cP @ (sK51 @ X46))) | ($true = (cR @ X44))) )),
% 0.23/0.54 inference(cnf_transformation,[],[f65])).
% 0.23/0.54 thf(f298,plain,(
% 0.23/0.54 spl76_12 | ~spl76_13 | ~spl76_2 | spl76_14 | spl76_15),
% 0.23/0.54 inference(avatar_split_clause,[],[f237,f296,f293,f247,f289,f286])).
% 0.23/0.54 thf(f237,plain,(
% 0.23/0.54 ( ! [X46 : $i,X44 : $i,X45 : $i] : (($true = (cP @ (sK51 @ X46))) | ($true = (cP @ X46)) | ($true = (cR @ X44)) | (sP0 != $true) | ($true != (cQ @ X45)) | ($true != sP2)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f113])).
% 0.23/0.54 thf(f284,plain,(
% 0.23/0.54 spl76_11 | spl76_7 | spl76_9 | spl76_8 | spl76_6),
% 0.23/0.54 inference(avatar_split_clause,[],[f240,f264,f270,f274,f267,f282])).
% 0.23/0.54 thf(f240,plain,(
% 0.23/0.54 ( ! [X16 : $i,X12 : $i,X13 : $i] : (($true = (cQ @ X12)) | ($false = (cS @ X16)) | ((cP @ X13) != $true) | ($true = sP1) | ($true = sP3) | ((cS @ (sK12 @ X16)) = $false)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f108])).
% 0.23/0.54 thf(f108,plain,(
% 0.23/0.54 ( ! [X16 : $i,X12 : $i,X13 : $i] : (($true = sP3) | ((cP @ X13) != $true) | ($true = (cQ @ X12)) | ((cS @ (sK12 @ X16)) != (cS @ X16)) | ($true = sP1)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f38])).
% 0.23/0.54 thf(f280,plain,(
% 0.23/0.54 spl76_6 | spl76_7 | spl76_8 | spl76_9 | spl76_10),
% 0.23/0.54 inference(avatar_split_clause,[],[f239,f278,f274,f270,f267,f264])).
% 0.23/0.54 thf(f239,plain,(
% 0.23/0.54 ( ! [X16 : $i,X12 : $i,X13 : $i] : (($true = (cS @ (sK12 @ X16))) | ($true = sP3) | ($true = (cS @ X16)) | ($true = sP1) | ($true = (cQ @ X12)) | ((cP @ X13) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f108])).
% 0.23/0.54 thf(f262,plain,(
% 0.23/0.54 ~spl76_4 | ~spl76_2 | spl76_5 | spl76_3),
% 0.23/0.54 inference(avatar_split_clause,[],[f242,f251,f260,f247,f255])).
% 0.23/0.54 thf(f242,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (((cQ @ (sK72 @ X16)) = $false) | (sP0 != $true) | ((cQ @ X16) = $false) | ((cR @ sK70) = $true) | ((cS @ sK71) != $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f140])).
% 0.23/0.54 thf(f140,plain,(
% 0.23/0.54 ( ! [X16 : $i] : (((cQ @ X16) != (cQ @ (sK72 @ X16))) | ((cS @ sK71) != $true) | (sP0 != $true) | ((cR @ sK70) = $true)) )),
% 0.23/0.54 inference(cnf_transformation,[],[f95])).
% 0.23/0.54 thf(f258,plain,(
% 0.23/0.54 spl76_1 | ~spl76_2 | spl76_3 | ~spl76_4),
% 0.23/0.54 inference(avatar_split_clause,[],[f241,f255,f251,f247,f244])).
% 0.23/0.54 thf(f241,plain,(
% 0.23/0.54 ( ! [X16 : $i] : ((sP0 != $true) | ($true = (cQ @ (sK72 @ X16))) | ((cS @ sK71) != $true) | ((cQ @ X16) = $true) | ((cR @ sK70) = $true)) )),
% 0.23/0.54 inference(binary_proxy_clausification,[],[f140])).
% 0.23/0.54 % SZS output end Proof for theBenchmark
% 0.23/0.54 % (15964)------------------------------
% 0.23/0.54 % (15964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (15964)Termination reason: Refutation
% 0.23/0.54
% 0.23/0.54 % (15964)Memory used [KB]: 7036
% 0.23/0.54 % (15964)Time elapsed: 0.139 s
% 0.23/0.54 % (15964)Instructions burned: 148 (million)
% 0.23/0.54 % (15964)------------------------------
% 0.23/0.54 % (15964)------------------------------
% 0.23/0.54 % (15963)Success in time 0.153 s
% 0.23/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------