TSTP Solution File: ITP172^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP172^2 : TPTP v8.2.0. Released v7.5.0.
% 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 : n018.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 : Mon May 20 22:34:15 EDT 2024

% Result   : Theorem 1.07s 0.52s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : ITP172^2 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.16  % 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
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat May 18 16:58:23 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH1_THM_EQU_NAR problem
% 0.16/0.38  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
% 0.23/0.42  % (28707)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)
% 0.23/0.42  % (28708)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.42  % (28706)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)
% 0.23/0.42  % (28712)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)
% 0.23/0.42  % (28709)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)
% 0.23/0.42  % (28708)Instruction limit reached!
% 0.23/0.42  % (28708)------------------------------
% 0.23/0.42  % (28708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (28708)Termination reason: Unknown
% 0.23/0.42  % (28708)Termination phase: shuffling
% 0.23/0.42  
% 0.23/0.42  % (28708)Memory used [KB]: 1535
% 0.23/0.42  % (28708)Time elapsed: 0.004 s
% 0.23/0.42  % (28708)Instructions burned: 3 (million)
% 0.23/0.42  % (28708)------------------------------
% 0.23/0.42  % (28708)------------------------------
% 0.23/0.42  % (28712)Instruction limit reached!
% 0.23/0.42  % (28712)------------------------------
% 0.23/0.42  % (28712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (28712)Termination reason: Unknown
% 0.23/0.42  % (28712)Termination phase: shuffling
% 0.23/0.42  % (28709)Instruction limit reached!
% 0.23/0.42  % (28709)------------------------------
% 0.23/0.42  % (28709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (28709)Termination reason: Unknown
% 0.23/0.42  % (28709)Termination phase: shuffling
% 0.23/0.42  
% 0.23/0.42  % (28709)Memory used [KB]: 1407
% 0.23/0.42  % (28709)Time elapsed: 0.004 s
% 0.23/0.42  % (28709)Instructions burned: 3 (million)
% 0.23/0.42  % (28709)------------------------------
% 0.23/0.42  % (28709)------------------------------
% 0.23/0.42  
% 0.23/0.42  % (28712)Memory used [KB]: 1535
% 0.23/0.42  % (28712)Time elapsed: 0.004 s
% 0.23/0.42  % (28712)Instructions burned: 3 (million)
% 0.23/0.42  % (28712)------------------------------
% 0.23/0.42  % (28712)------------------------------
% 0.23/0.42  % (28706)Instruction limit reached!
% 0.23/0.42  % (28706)------------------------------
% 0.23/0.42  % (28706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (28706)Termination reason: Unknown
% 0.23/0.42  % (28706)Termination phase: shuffling
% 0.23/0.42  
% 0.23/0.42  % (28706)Memory used [KB]: 1535
% 0.23/0.42  % (28706)Time elapsed: 0.004 s
% 0.23/0.42  % (28706)Instructions burned: 4 (million)
% 0.23/0.42  % (28706)------------------------------
% 0.23/0.42  % (28706)------------------------------
% 0.23/0.43  % (28710)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)
% 0.23/0.43  % (28705)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.43  % (28711)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.44  % (28707)Instruction limit reached!
% 0.23/0.44  % (28707)------------------------------
% 0.23/0.44  % (28707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (28707)Termination reason: Unknown
% 0.23/0.44  % (28707)Termination phase: Property scanning
% 0.23/0.44  
% 0.23/0.44  % (28707)Memory used [KB]: 1918
% 0.23/0.44  % (28707)Time elapsed: 0.019 s
% 0.23/0.44  % (28707)Instructions burned: 28 (million)
% 0.23/0.44  % (28707)------------------------------
% 0.23/0.44  % (28707)------------------------------
% 0.23/0.44  % (28714)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)
% 0.23/0.44  % (28713)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)
% 0.23/0.44  % (28715)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)
% 0.23/0.44  % (28716)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)
% 0.23/0.44  % (28715)Instruction limit reached!
% 0.23/0.44  % (28715)------------------------------
% 0.23/0.44  % (28715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (28715)Termination reason: Unknown
% 0.23/0.44  % (28715)Termination phase: shuffling
% 0.23/0.44  
% 0.23/0.44  % (28715)Memory used [KB]: 1535
% 0.23/0.44  % (28715)Time elapsed: 0.004 s
% 0.23/0.44  % (28715)Instructions burned: 3 (million)
% 0.23/0.44  % (28715)------------------------------
% 0.23/0.44  % (28715)------------------------------
% 0.23/0.44  % (28711)Instruction limit reached!
% 0.23/0.44  % (28711)------------------------------
% 0.23/0.44  % (28711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (28711)Termination reason: Unknown
% 0.23/0.44  % (28711)Termination phase: Property scanning
% 0.23/0.44  
% 0.23/0.44  % (28711)Memory used [KB]: 1791
% 0.23/0.44  % (28711)Time elapsed: 0.014 s
% 0.23/0.44  % (28711)Instructions burned: 18 (million)
% 0.23/0.44  % (28711)------------------------------
% 0.23/0.44  % (28711)------------------------------
% 0.23/0.45  % (28714)Instruction limit reached!
% 0.23/0.45  % (28714)------------------------------
% 0.23/0.45  % (28714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (28714)Termination reason: Unknown
% 0.23/0.45  % (28714)Termination phase: Property scanning
% 0.23/0.45  
% 0.23/0.45  % (28714)Memory used [KB]: 1791
% 0.23/0.45  % (28714)Time elapsed: 0.011 s
% 0.23/0.45  % (28714)Instructions burned: 16 (million)
% 0.23/0.45  % (28714)------------------------------
% 0.23/0.45  % (28714)------------------------------
% 0.23/0.45  % (28717)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.45  % (28719)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.46  % (28717)Instruction limit reached!
% 0.23/0.46  % (28717)------------------------------
% 0.23/0.46  % (28717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (28717)Termination reason: Unknown
% 0.23/0.46  % (28717)Termination phase: shuffling
% 0.23/0.46  
% 0.23/0.46  % (28717)Memory used [KB]: 1535
% 0.23/0.46  % (28717)Time elapsed: 0.007 s
% 0.23/0.46  % (28717)Instructions burned: 7 (million)
% 0.23/0.46  % (28713)Instruction limit reached!
% 0.23/0.46  % (28713)------------------------------
% 0.23/0.46  % (28713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (28717)------------------------------
% 0.23/0.46  % (28717)------------------------------
% 0.23/0.46  % (28713)Termination reason: Unknown
% 0.23/0.46  % (28713)Termination phase: shuffling
% 0.23/0.46  
% 0.23/0.46  % (28713)Memory used [KB]: 2174
% 0.23/0.46  % (28713)Time elapsed: 0.022 s
% 0.23/0.46  % (28713)Instructions burned: 37 (million)
% 0.23/0.46  % (28713)------------------------------
% 0.23/0.46  % (28713)------------------------------
% 0.23/0.46  % (28720)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)
% 0.23/0.46  % (28720)Instruction limit reached!
% 0.23/0.46  % (28720)------------------------------
% 0.23/0.46  % (28720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (28720)Termination reason: Unknown
% 0.23/0.46  % (28720)Termination phase: shuffling
% 0.23/0.46  
% 0.23/0.46  % (28720)Memory used [KB]: 1407
% 0.23/0.46  % (28720)Time elapsed: 0.004 s
% 0.23/0.46  % (28720)Instructions burned: 3 (million)
% 0.23/0.46  % (28720)------------------------------
% 0.23/0.46  % (28720)------------------------------
% 0.23/0.46  % (28719)Instruction limit reached!
% 0.23/0.46  % (28719)------------------------------
% 0.23/0.46  % (28719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (28719)Termination reason: Unknown
% 0.23/0.46  % (28719)Termination phase: Property scanning
% 0.23/0.46  
% 0.23/0.46  % (28719)Memory used [KB]: 1918
% 0.23/0.46  % (28719)Time elapsed: 0.013 s
% 0.23/0.46  % (28719)Instructions burned: 17 (million)
% 0.23/0.46  % (28719)------------------------------
% 0.23/0.46  % (28719)------------------------------
% 0.23/0.47  % (28721)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)
% 0.23/0.47  % (28721)Instruction limit reached!
% 0.23/0.47  % (28721)------------------------------
% 0.23/0.47  % (28721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47  % (28721)Termination reason: Unknown
% 0.23/0.47  % (28721)Termination phase: shuffling
% 0.23/0.47  
% 0.23/0.47  % (28721)Memory used [KB]: 1535
% 0.23/0.47  % (28721)Time elapsed: 0.003 s
% 0.23/0.47  % (28721)Instructions burned: 3 (million)
% 0.23/0.47  % (28721)------------------------------
% 0.23/0.47  % (28721)------------------------------
% 0.23/0.47  % (28710)Refutation not found, incomplete strategy
% 0.23/0.47  % (28710)------------------------------
% 0.23/0.47  % (28710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47  % (28710)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  % (28710)Memory used [KB]: 7036
% 0.23/0.47  % (28710)Time elapsed: 0.045 s
% 0.23/0.47  % (28710)Instructions burned: 68 (million)
% 0.23/0.47  % (28710)------------------------------
% 0.23/0.47  % (28710)------------------------------
% 0.23/0.47  % (28723)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)
% 0.23/0.47  % (28723)Instruction limit reached!
% 0.23/0.47  % (28723)------------------------------
% 0.23/0.47  % (28723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47  % (28723)Termination reason: Unknown
% 0.23/0.47  % (28723)Termination phase: shuffling
% 0.23/0.47  
% 0.23/0.47  % (28723)Memory used [KB]: 1535
% 0.23/0.47  % (28723)Time elapsed: 0.004 s
% 0.23/0.47  % (28723)Instructions burned: 3 (million)
% 0.23/0.47  % (28723)------------------------------
% 0.23/0.47  % (28723)------------------------------
% 0.23/0.47  % (28724)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.48  % (28722)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)
% 0.23/0.48  % (28724)Instruction limit reached!
% 0.23/0.48  % (28724)------------------------------
% 0.23/0.48  % (28724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (28724)Termination reason: Unknown
% 0.23/0.48  % (28724)Termination phase: shuffling
% 0.23/0.48  
% 0.23/0.48  % (28724)Memory used [KB]: 1535
% 0.23/0.48  % (28724)Time elapsed: 0.005 s
% 0.23/0.48  % (28724)Instructions burned: 4 (million)
% 0.23/0.48  % (28724)------------------------------
% 0.23/0.48  % (28724)------------------------------
% 0.23/0.48  % (28725)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)
% 0.23/0.48  % (28722)Instruction limit reached!
% 0.23/0.48  % (28722)------------------------------
% 0.23/0.48  % (28722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (28722)Termination reason: Unknown
% 0.23/0.48  % (28722)Termination phase: shuffling
% 0.23/0.48  
% 0.23/0.48  % (28722)Memory used [KB]: 1535
% 0.23/0.48  % (28722)Time elapsed: 0.009 s
% 0.23/0.48  % (28722)Instructions burned: 7 (million)
% 0.23/0.48  % (28722)------------------------------
% 0.23/0.48  % (28722)------------------------------
% 0.23/0.48  % (28727)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.48  % (28726)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.49  % (28727)Instruction limit reached!
% 0.23/0.49  % (28727)------------------------------
% 0.23/0.49  % (28727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (28727)Termination reason: Unknown
% 0.23/0.49  % (28727)Termination phase: shuffling
% 0.23/0.49  
% 0.23/0.49  % (28727)Memory used [KB]: 1535
% 0.23/0.49  % (28727)Time elapsed: 0.003 s
% 0.23/0.49  % (28727)Instructions burned: 6 (million)
% 0.23/0.49  % (28727)------------------------------
% 0.23/0.49  % (28727)------------------------------
% 0.23/0.49  % (28725)Instruction limit reached!
% 0.23/0.49  % (28725)------------------------------
% 0.23/0.49  % (28725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (28725)Termination reason: Unknown
% 0.23/0.49  % (28725)Termination phase: Property scanning
% 0.23/0.49  
% 0.23/0.49  % (28725)Memory used [KB]: 1918
% 0.23/0.49  % (28725)Time elapsed: 0.014 s
% 0.23/0.49  % (28729)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)
% 0.23/0.49  % (28725)Instructions burned: 19 (million)
% 0.23/0.49  % (28725)------------------------------
% 0.23/0.49  % (28725)------------------------------
% 0.23/0.49  % (28731)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 (2998ds/6Mi)
% 0.23/0.50  % (28731)Instruction limit reached!
% 0.23/0.50  % (28731)------------------------------
% 0.23/0.50  % (28731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50  % (28731)Termination reason: Unknown
% 0.23/0.50  % (28731)Termination phase: shuffling
% 0.23/0.50  
% 0.23/0.50  % (28731)Memory used [KB]: 1663
% 0.23/0.50  % (28731)Time elapsed: 0.004 s
% 0.23/0.50  % (28731)Instructions burned: 8 (million)
% 0.23/0.50  % (28731)------------------------------
% 0.23/0.50  % (28731)------------------------------
% 0.23/0.50  % (28728)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)
% 0.23/0.50  % (28730)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.23/0.50  % (28733)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.23/0.50  % (28732)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.50  % (28729)Instruction limit reached!
% 0.23/0.50  % (28729)------------------------------
% 0.23/0.50  % (28729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50  % (28729)Termination reason: Unknown
% 0.23/0.50  % (28729)Termination phase: shuffling
% 0.23/0.51  
% 0.23/0.51  % (28729)Memory used [KB]: 1918
% 0.23/0.51  % (28729)Time elapsed: 0.016 s
% 0.23/0.51  % (28729)Instructions burned: 21 (million)
% 0.23/0.51  % (28729)------------------------------
% 0.23/0.51  % (28729)------------------------------
% 0.23/0.52  % (28730)Instruction limit reached!
% 0.23/0.52  % (28730)------------------------------
% 0.23/0.52  % (28730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52  % (28730)Termination reason: Unknown
% 0.23/0.52  % (28730)Termination phase: shuffling
% 0.23/0.52  
% 0.23/0.52  % (28730)Memory used [KB]: 1535
% 0.23/0.52  % (28730)Time elapsed: 0.005 s
% 0.23/0.52  % (28730)Instructions burned: 5 (million)
% 0.23/0.52  % (28730)------------------------------
% 0.23/0.52  % (28730)------------------------------
% 0.23/0.52  % (28726)First to succeed.
% 0.23/0.52  % (28734)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)
% 1.07/0.52  % (28726)Refutation found. Thanks to Tanya!
% 1.07/0.52  % SZS status Theorem for theBenchmark
% 1.07/0.52  % SZS output start Proof for theBenchmark
% 1.07/0.52  thf(type_def_5, type, product_unit: $tType).
% 1.07/0.52  thf(type_def_6, type, char: $tType).
% 1.07/0.52  thf(type_def_7, type, list: ($tType) > $tType).
% 1.07/0.52  thf(type_def_8, type, element_ptr: ($tType) > $tType).
% 1.07/0.52  thf(type_def_9, type, option: ($tType) > $tType).
% 1.07/0.52  thf(type_def_10, type, character_data_ptr: ($tType) > $tType).
% 1.07/0.52  thf(type_def_11, type, sum_sum: ($tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_12, type, node_ptr: ($tType) > $tType).
% 1.07/0.52  thf(type_def_13, type, rDocument_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_15, type, rObject_ext: ($tType) > $tType).
% 1.07/0.52  thf(type_def_16, type, rElement_ext: ($tType * $tType * $tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_17, type, rCharacterData_ext: ($tType) > $tType).
% 1.07/0.52  thf(type_def_18, type, rNode_ext: ($tType) > $tType).
% 1.07/0.52  thf(type_def_19, type, shadow_root_ptr: ($tType) > $tType).
% 1.07/0.52  thf(type_def_20, type, document_ptr: ($tType) > $tType).
% 1.07/0.52  thf(type_def_21, type, heap: ($tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_22, type, fset: ($tType) > $tType).
% 1.07/0.52  thf(type_def_23, type, object_ptr: ($tType) > $tType).
% 1.07/0.52  thf(type_def_24, type, nat: $tType).
% 1.07/0.52  thf(type_def_25, type, product_prod: ($tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_26, type, heap_Error_prog: ($tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_27, type, set: ($tType) > $tType).
% 1.07/0.52  thf(type_def_28, type, rShadowRoot_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(type_def_29, type, a: $tType).
% 1.07/0.52  thf(type_def_30, type, b: $tType).
% 1.07/0.52  thf(type_def_31, type, c: $tType).
% 1.07/0.52  thf(type_def_32, type, d: $tType).
% 1.07/0.52  thf(type_def_33, type, e: $tType).
% 1.07/0.52  thf(type_def_34, type, f: $tType).
% 1.07/0.52  thf(type_def_35, type, g: $tType).
% 1.07/0.52  thf(type_def_36, type, h: $tType).
% 1.07/0.52  thf(type_def_37, type, i: $tType).
% 1.07/0.52  thf(type_def_38, type, j: $tType).
% 1.07/0.52  thf(type_def_39, type, k: $tType).
% 1.07/0.52  thf(type_def_40, type, l: $tType).
% 1.07/0.52  thf(func_def_0, type, rCharacterData_ext: ($tType) > $tType).
% 1.07/0.52  thf(func_def_1, type, rShadowRoot_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_2, type, character_data_ptr: ($tType) > $tType).
% 1.07/0.52  thf(func_def_3, type, rDocument_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_4, type, rElement_ext: ($tType * $tType * $tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_5, type, shadow_root_ptr: ($tType) > $tType).
% 1.07/0.52  thf(func_def_6, type, rObject_ext: ($tType) > $tType).
% 1.07/0.52  thf(func_def_7, type, document_ptr: ($tType) > $tType).
% 1.07/0.52  thf(func_def_8, type, rNode_ext: ($tType) > $tType).
% 1.07/0.52  thf(func_def_9, type, element_ptr: ($tType) > $tType).
% 1.07/0.52  thf(func_def_10, type, object_ptr: ($tType) > $tType).
% 1.07/0.52  thf(func_def_11, type, heap_Error_prog: ($tType * $tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_12, type, node_ptr: ($tType) > $tType).
% 1.07/0.52  thf(func_def_13, type, product_unit: $tType).
% 1.07/0.52  thf(func_def_14, type, product_prod: ($tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_15, type, heap: ($tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_16, type, sum_sum: ($tType * $tType) > $tType).
% 1.07/0.52  thf(func_def_17, type, option: ($tType) > $tType).
% 1.07/0.52  thf(func_def_18, type, char: $tType).
% 1.07/0.52  thf(func_def_19, type, list: ($tType) > $tType).
% 1.07/0.52  thf(func_def_20, type, fset: ($tType) > $tType).
% 1.07/0.52  thf(func_def_21, type, set: ($tType) > $tType).
% 1.07/0.52  thf(func_def_22, type, nat: $tType).
% 1.07/0.52  thf(func_def_23, type, l: $tType).
% 1.07/0.52  thf(func_def_24, type, k: $tType).
% 1.07/0.52  thf(func_def_25, type, j: $tType).
% 1.07/0.52  thf(func_def_26, type, i: $tType).
% 1.07/0.52  thf(func_def_27, type, h: $tType).
% 1.07/0.52  thf(func_def_28, type, g: $tType).
% 1.07/0.52  thf(func_def_29, type, f: $tType).
% 1.07/0.52  thf(func_def_30, type, e: $tType).
% 1.07/0.52  thf(func_def_31, type, d: $tType).
% 1.07/0.52  thf(func_def_32, type, c: $tType).
% 1.07/0.52  thf(func_def_33, type, b: $tType).
% 1.07/0.52  thf(func_def_34, type, a: $tType).
% 1.07/0.52  thf(func_def_35, type, type: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_36, type, size: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_37, type, zero: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_38, type, bot: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_39, type, ord: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_40, type, group_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_41, type, monoid_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_42, type, linorder: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_43, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_44, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_45, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_46, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_47, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_48, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_49, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_50, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_51, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 1.07/0.52  thf(func_def_52, type, rDocument_ext2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_unit > list @ char > option @ element_ptr @ X0 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 > X3 > rDocument_ext @ X2 @ X0 @ X1 @ X3)).
% 1.07/0.52  thf(func_def_53, type, disconnected_nodes: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X2 @ X0)).
% 1.07/0.53  thf(func_def_54, type, discon1635973971update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2) > rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3)).
% 1.07/0.53  thf(func_def_55, type, doctype: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > list @ char)).
% 1.07/0.53  thf(func_def_56, type, doctype_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((list @ char > list @ char) > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3)).
% 1.07/0.53  thf(func_def_57, type, document_element: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > option @ element_ptr @ X1)).
% 1.07/0.53  thf(func_def_58, type, docume446011358update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((option @ element_ptr @ X0 > option @ element_ptr @ X0) > rObject_ext @ rDocument_ext @ X1 @ X0 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X1 @ X0 @ X2 @ X3)).
% 1.07/0.53  thf(func_def_59, type, more: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > X3)).
% 1.07/0.53  thf(func_def_60, type, more_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X0) > rObject_ext @ rDocument_ext @ X1 @ X2 @ X3 @ X0 > rObject_ext @ rDocument_ext @ X1 @ X2 @ X3 @ X0)).
% 1.07/0.53  thf(func_def_61, type, nothing: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > product_unit)).
% 1.07/0.53  thf(func_def_62, type, nothing_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_unit > product_unit) > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3)).
% 1.07/0.53  thf(func_def_63, type, cast_D42511940_e_c_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X3 > rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X4 @ option @ X5 @ sum_sum @ rCharacterData_ext @ option @ X6 @ X7 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X3 @ X8)).
% 1.07/0.53  thf(func_def_64, type, cast_O1159777348_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X3 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X5 @ X6 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7 @ X8 > option @ rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7)).
% 1.07/0.53  thf(func_def_65, type, document_ptrs: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:(heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X0 @ X1 @ X3 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X2 @ X0 @ X1 @ option @ X9 @ X10 > fset @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4)).
% 1.07/0.53  thf(func_def_66, type, get_D_o_c_u_m_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:(document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X3 @ X4 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X4 @ X2 @ X3 @ X0 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X4 @ X2 @ X3 @ option @ X9 @ X10 > option @ rObject_ext @ rDocument_ext @ X4 @ X2 @ X3 @ option @ X9)).
% 1.07/0.53  thf(func_def_67, type, is_document_kind: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X3 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X5 @ X6 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7 @ X8 > $o)).
% 1.07/0.53  thf(func_def_68, type, put_D_o_c_u_m_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:(document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 > rObject_ext @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X4 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X6 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X3 @ X4 @ X0 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 @ X10 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X4 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X6 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X3 @ X4 @ X0 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 @ X10)).
% 1.07/0.53  thf(func_def_69, type, cast_d1427782271_p_t_r: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(document_ptr @ X0 > object_ptr @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X2 @ X3 @ sum_sum @ document_ptr @ X0 @ X4)).
% 1.07/0.53  thf(func_def_70, type, cast_o823910367_p_t_r: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(object_ptr @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ X3 @ X4 > option @ document_ptr @ X3)).
% 1.07/0.53  thf(func_def_71, type, document_Ext: !>[X0: $tType]:(X0 > document_ptr @ X0)).
% 1.07/0.53  thf(func_def_72, type, document_Ref: !>[X0: $tType]:(nat > document_ptr @ X0)).
% 1.07/0.53  thf(func_def_73, type, docume1907984069nt_ptr: !>[X0: $tType]:((X0 > nat) > document_ptr @ X0 > nat)).
% 1.07/0.53  thf(func_def_74, type, is_doc697300620_p_t_r: !>[X0: $tType]:(document_ptr @ X0 > $o)).
% 1.07/0.53  thf(func_def_75, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 1.07/0.53  thf(func_def_76, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.07/0.53  thf(func_def_77, type, heap_Error_Prog: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > sum_sum @ X1 @ product_prod @ X2 @ X0) > heap_Error_prog @ X0 @ X1 @ X2)).
% 1.07/0.53  thf(func_def_78, type, heap_Error_size_prog: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > nat) > (X1 > nat) > (X2 > nat) > heap_Error_prog @ X0 @ X1 @ X2 > nat)).
% 1.07/0.53  thf(func_def_79, type, append: !>[X0: $tType]:(list @ X0 > list @ X0 > list @ X0)).
% 1.07/0.53  thf(func_def_80, type, count_list: !>[X0: $tType]:(list @ X0 > X0 > nat)).
% 1.07/0.53  thf(func_def_81, type, gen_length: !>[X0: $tType]:(nat > list @ X0 > nat)).
% 1.07/0.53  thf(func_def_82, type, insert: !>[X0: $tType]:(X0 > list @ X0 > list @ X0)).
% 1.07/0.53  thf(func_def_83, type, cons: !>[X0: $tType]:(X0 > list @ X0 > list @ X0)).
% 1.07/0.53  thf(func_def_84, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.07/0.53  thf(func_def_85, type, list_ex1: !>[X0: $tType]:((X0 > $o) > list @ X0 > $o)).
% 1.07/0.53  thf(func_def_86, type, n_lists: !>[X0: $tType]:(nat > list @ X0 > list @ list @ X0)).
% 1.07/0.53  thf(func_def_87, type, nths: !>[X0: $tType]:(list @ X0 > set @ nat > list @ X0)).
% 1.07/0.53  thf(func_def_88, type, product_lists: !>[X0: $tType]:(list @ list @ X0 > list @ list @ X0)).
% 1.07/0.53  thf(func_def_89, type, splice: !>[X0: $tType]:(list @ X0 > list @ X0 > list @ X0)).
% 1.07/0.53  thf(func_def_90, type, subseqs: !>[X0: $tType]:(list @ X0 > list @ list @ X0)).
% 1.07/0.53  thf(func_def_91, type, suc: nat > nat).
% 1.07/0.53  thf(func_def_92, type, size_size: !>[X0: $tType]:(X0 > nat)).
% 1.07/0.53  thf(func_def_93, type, nat_set_decode: nat > set @ nat).
% 1.07/0.53  thf(func_def_94, type, nat_set_encode: set @ nat > nat).
% 1.07/0.53  thf(func_def_95, type, nat_triangle: nat > nat).
% 1.07/0.53  thf(func_def_96, type, rObject_ext2: !>[X0: $tType]:(product_unit > X0 > rObject_ext @ X0)).
% 1.07/0.53  thf(func_def_97, type, extend: !>[X0: $tType]:(rObject_ext @ product_unit > X0 > rObject_ext @ X0)).
% 1.07/0.53  thf(func_def_98, type, more2: !>[X0: $tType]:(rObject_ext @ X0 > X0)).
% 1.07/0.53  thf(func_def_99, type, nothing2: !>[X0: $tType]:(rObject_ext @ X0 > product_unit)).
% 1.07/0.53  thf(func_def_100, type, get_O_b_j_e_c_t: !>[X0: $tType, X1: $tType]:(object_ptr @ X0 > heap @ X0 @ X1 > option @ rObject_ext @ X1)).
% 1.07/0.53  thf(func_def_101, type, put_O_b_j_e_c_t: !>[X0: $tType, X1: $tType]:(object_ptr @ X0 > rObject_ext @ X1 > heap @ X0 @ X1 > heap @ X0 @ X1)).
% 1.07/0.53  thf(func_def_102, type, bind: !>[X0: $tType, X1: $tType]:(option @ X0 > (X0 > option @ X1) > option @ X1)).
% 1.07/0.53  thf(func_def_103, type, none: !>[X0: $tType]:(option @ X0)).
% 1.07/0.53  thf(func_def_104, type, some: !>[X0: $tType]:(X0 > option @ X0)).
% 1.07/0.53  thf(func_def_105, type, size_option: !>[X0: $tType]:((X0 > nat) > option @ X0 > nat)).
% 1.07/0.53  thf(func_def_106, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.07/0.53  thf(func_def_107, type, product_Unity: product_unit).
% 1.07/0.53  thf(func_def_108, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 1.07/0.53  thf(func_def_109, type, type_wf: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType, X11: $tType]:(heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X0 @ X1 @ X3 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X2 @ X0 @ X1 @ option @ sum_sum @ rShadowRoot_ext @ X2 @ X0 @ X1 @ option @ X9 @ X10 @ X11 > $o)).
% 1.07/0.53  thf(func_def_110, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 1.07/0.53  thf(func_def_111, type, h2: heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ d @ e @ f @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l).
% 1.07/0.53  thf(func_def_112, type, h3: heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ d @ e @ f @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l).
% 1.07/0.53  thf(func_def_125, type, sP0: !>[X0: $tType, X1: $tType]:((option @ X0 > option @ X1 > $o) > option @ X1 > option @ X0 > $o)).
% 1.07/0.53  thf(func_def_126, type, sK1: !>[X0: $tType]:(rObject_ext @ X0 > product_unit)).
% 1.07/0.53  thf(func_def_127, type, sK2: !>[X0: $tType]:(rObject_ext @ X0 > X0)).
% 1.07/0.53  thf(func_def_128, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > product_unit)).
% 1.07/0.53  thf(func_def_129, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > product_unit)).
% 1.07/0.53  thf(func_def_130, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > list @ char)).
% 1.07/0.53  thf(func_def_131, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > option @ element_ptr @ X0)).
% 1.07/0.53  thf(func_def_132, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2)).
% 1.07/0.53  thf(func_def_133, type, sK8: nat > nat).
% 1.07/0.53  thf(func_def_134, type, sK9: !>[X0: $tType]:(option @ X0 > X0)).
% 1.07/0.53  thf(func_def_135, type, sK10: (nat > $o) > nat).
% 1.07/0.53  thf(func_def_136, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:(rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4 > rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5)).
% 1.07/0.53  thf(func_def_137, type, sK12: rObject_ext @ product_unit > product_unit).
% 1.07/0.53  thf(func_def_138, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > product_unit)).
% 1.07/0.53  thf(func_def_139, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > product_unit)).
% 1.07/0.53  thf(func_def_140, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > list @ char)).
% 1.07/0.53  thf(func_def_141, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > option @ element_ptr @ X0)).
% 1.07/0.53  thf(func_def_142, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2)).
% 1.07/0.53  thf(func_def_143, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > X3)).
% 1.07/0.53  thf(func_def_144, type, sK19: (nat > $o) > nat).
% 1.07/0.53  thf(func_def_145, type, sK20: !>[X0: $tType]:(document_ptr @ X0 > X0)).
% 1.07/0.53  thf(func_def_146, type, sK21: !>[X0: $tType]:(document_ptr @ X0 > nat)).
% 1.07/0.53  thf(func_def_147, type, sK22: !>[X0: $tType]:((option @ X0 > $o) > X0)).
% 1.07/0.53  thf(func_def_148, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > product_unit)).
% 1.07/0.53  thf(func_def_149, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > product_unit)).
% 1.07/0.53  thf(func_def_150, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > list @ char)).
% 1.07/0.53  thf(func_def_151, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > option @ element_ptr @ X1)).
% 1.07/0.53  thf(func_def_152, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2)).
% 1.07/0.53  thf(func_def_153, type, sK28: !>[X0: $tType]:((document_ptr @ X0 > $o) > nat)).
% 1.07/0.53  thf(func_def_154, type, sK29: !>[X0: $tType]:((document_ptr @ X0 > $o) > X0)).
% 1.07/0.53  thf(func_def_155, type, sK30: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0)).
% 1.07/0.53  thf(func_def_156, type, sK31: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0)).
% 1.07/0.53  thf(func_def_157, type, sK32: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat)).
% 1.07/0.53  thf(func_def_158, type, sK33: !>[X0: $tType]:(option @ X0 > X0)).
% 1.07/0.53  thf(func_def_159, type, sK34: (rObject_ext @ product_unit > $o) > product_unit).
% 1.07/0.53  thf(func_def_160, type, sK35: !>[X0: $tType, X1: $tType]:((option @ X0 > option @ X1 > $o) > option @ X1 > option @ X0 > X0)).
% 1.07/0.53  thf(func_def_161, type, sK36: !>[X0: $tType, X1: $tType]:((option @ X0 > option @ X1 > $o) > option @ X1 > option @ X0 > X1)).
% 1.07/0.53  thf(func_def_162, type, sK37: (nat > nat > $o) > nat).
% 1.07/0.53  thf(func_def_163, type, sK38: (nat > nat > $o) > nat).
% 1.07/0.53  thf(func_def_164, type, sK39: (nat > nat > $o) > nat).
% 1.07/0.53  thf(func_def_165, type, sK40: (nat > nat > $o) > nat).
% 1.07/0.53  thf(func_def_166, type, sK41: nat > nat).
% 1.07/0.53  thf(func_def_167, type, sK42: !>[X0: $tType]:(option @ X0 > X0)).
% 1.07/0.53  thf(func_def_168, type, sK43: nat > nat).
% 1.07/0.53  thf(func_def_169, type, sK44: (nat > $o) > nat).
% 1.07/0.53  thf(func_def_170, type, sK45: (nat > $o) > nat).
% 1.07/0.53  thf(func_def_171, type, sK46: !>[X0: $tType]:((rObject_ext @ X0 > $o) > product_unit)).
% 1.07/0.53  thf(func_def_172, type, sK47: !>[X0: $tType]:((rObject_ext @ X0 > $o) > X0)).
% 1.07/0.53  thf(func_def_173, type, sK48: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 1.07/0.53  thf(func_def_174, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > product_unit)).
% 1.07/0.53  thf(func_def_175, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ char)).
% 1.07/0.53  thf(func_def_176, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > option @ element_ptr @ X2)).
% 1.07/0.53  thf(func_def_177, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X1 @ X3)).
% 1.07/0.53  thf(func_def_178, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > X0)).
% 1.07/0.53  thf(func_def_179, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > product_unit)).
% 1.07/0.53  thf(func_def_180, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > product_unit)).
% 1.07/0.53  thf(func_def_181, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ char)).
% 1.07/0.53  thf(func_def_182, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > option @ element_ptr @ X2)).
% 1.07/0.53  thf(func_def_183, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X1 @ X3)).
% 1.07/0.53  thf(func_def_184, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > X0)).
% 1.07/0.53  thf(f1007,plain,(
% 1.07/0.53    $false),
% 1.07/0.53    inference(subsumption_resolution,[],[f1006,f977])).
% 1.07/0.53  thf(f977,plain,(
% 1.07/0.53    ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : (((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ (cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5)) )),
% 1.07/0.53    inference(equality_resolution,[],[f856])).
% 1.07/0.53  thf(f856,plain,(
% 1.07/0.53    ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) != X9) | (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 != (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9))) )),
% 1.07/0.53    inference(cnf_transformation,[],[f765])).
% 1.07/0.53  thf(f765,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((! [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) != X9) | (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 != (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9))) & ((none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) | ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ (sK11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9)) = X9)))),
% 1.07/0.53    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f763,f764])).
% 1.07/0.53  thf(f764,plain,(
% 1.07/0.53    ! [X8 : $tType,X7 : $tType,X6 : $tType,X5 : $tType,X4 : $tType,X3 : $tType,X2 : $tType,X1 : $tType,X0 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (? [X11 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X11) = X9) => ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ (sK11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9)) = X9))),
% 1.07/0.53    introduced(choice_axiom,[])).
% 1.07/0.53  thf(f763,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((! [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) != X9) | (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 != (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9))) & ((none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) | ? [X11 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X11) = X9)))),
% 1.07/0.53    inference(rectify,[],[f762])).
% 1.07/0.53  thf(f762,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((! [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) != X9) | (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 != (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9))) & ((none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) | ? [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) = X9)))),
% 1.07/0.53    inference(nnf_transformation,[],[f718])).
% 1.07/0.53  thf(f718,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (! [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) != X9) <=> (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)))),
% 1.07/0.53    inference(ennf_transformation,[],[f466])).
% 1.07/0.53  thf(f466,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (~? [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) = X9) <=> (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)))),
% 1.07/0.53    inference(fool_elimination,[],[f465])).
% 1.07/0.53  thf(f465,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (~? [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) = X9) = (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)))),
% 1.07/0.53    inference(rectify,[],[f92])).
% 1.07/0.53  thf(f92,axiom,(
% 1.07/0.53    ! [X14 : $tType,X19 : $tType,X20 : $tType,X21 : $tType,X22 : $tType,X18 : $tType,X17 : $tType,X16 : $tType,X0 : $tType,X89 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X16 @ X17 @ X14 @ option @ X19 @ sum_sum @ rCharacterData_ext @ option @ X20 @ X21 @ sum_sum @ rDocument_ext @ X0 @ X16 @ X17 @ option @ X18 @ X22] : (~? [X65 : rObject_ext @ rDocument_ext @ X0 @ X16 @ X17 @ option @ X18] : ((cast_D42511940_e_c_t @ X0 @ X16 @ X17 @ X18 @ X14 @ X19 @ X20 @ X21 @ X22 @ X65) = X89) = ((cast_O1159777348_e_n_t @ X0 @ X16 @ X17 @ X14 @ X19 @ X20 @ X21 @ X18 @ X22 @ X89) = none @ rObject_ext @ rDocument_ext @ X0 @ X16 @ X17 @ option @ X18))),
% 1.07/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none)).
% 1.07/0.53  thf(f1006,plain,(
% 1.07/0.53    (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))))),
% 1.07/0.53    inference(equality_proxy_clausification,[],[f1005])).
% 1.07/0.53  thf(f1005,plain,(
% 1.07/0.53    ((none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) = $true)),
% 1.07/0.53    inference(not_proxy_clausification,[],[f1004])).
% 1.07/0.53  thf(f1004,plain,(
% 1.07/0.53    ((~ (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))))) != $true)),
% 1.07/0.53    inference(beta_eta_normalization,[],[f970])).
% 1.07/0.53  thf(f970,plain,(
% 1.07/0.53    (((^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l]: (~ (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ Y0)))) @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))) != $true)),
% 1.07/0.53    inference(definition_unfolding,[],[f962,f850])).
% 1.07/0.53  thf(f850,plain,(
% 1.07/0.53    ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType] : ((is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0]: (~ (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ Y0)))))) )),
% 1.07/0.53    inference(cnf_transformation,[],[f528])).
% 1.07/0.53  thf(f528,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType] : (is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0]: (~ (none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 = (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ Y0)))))),
% 1.07/0.53    inference(fool_elimination,[],[f527])).
% 1.07/0.53  thf(f527,plain,(
% 1.07/0.53    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType] : ((^[X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0] : ((none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 != (cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)))) = is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 1.07/0.53    inference(rectify,[],[f94])).
% 1.07/0.53  thf(f94,axiom,(
% 1.07/0.53    ! [X10 : $tType,X5 : $tType,X9 : $tType,X8 : $tType,X7 : $tType,X6 : $tType,X2 : $tType,X1 : $tType,X3 : $tType] : ((^[X90 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X3 @ X1 @ X2 @ X6 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X3 @ X1 @ X2 @ option @ X5 @ X10] : (((cast_O1159777348_e_n_t @ X3 @ X1 @ X2 @ X6 @ X7 @ X8 @ X9 @ X5 @ X10 @ X90) != none @ rObject_ext @ rDocument_ext @ X3 @ X1 @ X2 @ option @ X5))) = is_document_kind @ X3 @ X1 @ X2 @ X6 @ X7 @ X8 @ X9 @ X5 @ X10)),
% 1.07/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_is__document__kind__def)).
% 1.07/0.53  thf(f962,plain,(
% 1.07/0.53    ((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))) != $true)),
% 1.07/0.53    inference(cnf_transformation,[],[f661])).
% 1.07/0.53  thf(f661,plain,(
% 1.07/0.53    ((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))) != $true)),
% 1.07/0.53    inference(flattening,[],[f346])).
% 1.07/0.53  thf(f346,plain,(
% 1.07/0.53    ~((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))) = $true)),
% 1.07/0.53    inference(fool_elimination,[],[f345])).
% 1.07/0.53  thf(f345,plain,(
% 1.07/0.53    ~(is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 1.07/0.53    inference(rectify,[],[f309])).
% 1.07/0.53  thf(f309,negated_conjecture,(
% 1.07/0.53    ~(is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 1.07/0.53    inference(negated_conjecture,[],[f308])).
% 1.07/0.53  thf(f308,conjecture,(
% 1.07/0.53    (is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 1.07/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)).
% 1.07/0.53  % SZS output end Proof for theBenchmark
% 1.07/0.53  % (28726)------------------------------
% 1.07/0.53  % (28726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.07/0.53  % (28726)Termination reason: Refutation
% 1.07/0.53  
% 1.07/0.53  % (28726)Memory used [KB]: 6780
% 1.07/0.53  % (28726)Time elapsed: 0.041 s
% 1.07/0.53  % (28726)Instructions burned: 62 (million)
% 1.07/0.53  % (28726)------------------------------
% 1.07/0.53  % (28726)------------------------------
% 1.07/0.53  % (28704)Success in time 0.14 s
% 1.07/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------