TSTP Solution File: NLP266^4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NLP266^4 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 Jun 24 12:20:17 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NLP266^4 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 05:19:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37 % (19574)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)
% 0.12/0.37 % (19574)Instruction limit reached!
% 0.12/0.37 % (19574)------------------------------
% 0.12/0.37 % (19574)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (19574)Termination reason: Unknown
% 0.12/0.37 % (19574)Termination phase: Preprocessing 1
% 0.12/0.37
% 0.12/0.37 % (19574)Memory used [KB]: 1023
% 0.12/0.37 % (19574)Time elapsed: 0.002 s
% 0.12/0.37 % (19574)Instructions burned: 3 (million)
% 0.12/0.37 % (19574)------------------------------
% 0.12/0.37 % (19574)------------------------------
% 0.12/0.38 % (19570)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (19571)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)
% 0.12/0.38 % (19573)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (19572)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)
% 0.12/0.38 % (19575)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)
% 0.12/0.38 % (19576)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (19573)Instruction limit reached!
% 0.12/0.38 % (19573)------------------------------
% 0.12/0.38 % (19573)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19573)Termination reason: Unknown
% 0.12/0.38 % (19573)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (19573)Memory used [KB]: 1023
% 0.12/0.38 % (19573)Time elapsed: 0.003 s
% 0.12/0.38 % (19573)Instructions burned: 2 (million)
% 0.12/0.38 % (19573)------------------------------
% 0.12/0.38 % (19573)------------------------------
% 0.12/0.38 % (19571)Instruction limit reached!
% 0.12/0.38 % (19571)------------------------------
% 0.12/0.38 % (19571)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19571)Termination reason: Unknown
% 0.12/0.38 % (19571)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (19571)Memory used [KB]: 1023
% 0.12/0.38 % (19571)Time elapsed: 0.005 s
% 0.12/0.38 % (19571)Instructions burned: 5 (million)
% 0.12/0.38 % (19571)------------------------------
% 0.12/0.38 % (19571)------------------------------
% 0.12/0.38 % (19575)Refutation not found, incomplete strategy
% 0.12/0.38 % (19575)------------------------------
% 0.12/0.38 % (19575)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19575)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (19575)Memory used [KB]: 5500
% 0.12/0.38 % (19575)Time elapsed: 0.005 s
% 0.12/0.38 % (19575)Instructions burned: 4 (million)
% 0.12/0.38 % (19575)------------------------------
% 0.12/0.38 % (19575)------------------------------
% 0.12/0.38 % (19577)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)
% 0.12/0.38 % (19577)Instruction limit reached!
% 0.12/0.38 % (19577)------------------------------
% 0.12/0.38 % (19577)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (19577)Termination reason: Unknown
% 0.12/0.38 % (19577)Termination phase: Function definition elimination
% 0.12/0.38
% 0.12/0.38 % (19577)Memory used [KB]: 1023
% 0.12/0.38 % (19577)Time elapsed: 0.003 s
% 0.12/0.38 % (19577)Instructions burned: 4 (million)
% 0.12/0.38 % (19577)------------------------------
% 0.12/0.38 % (19577)------------------------------
% 0.12/0.39 % (19576)Instruction limit reached!
% 0.12/0.39 % (19576)------------------------------
% 0.12/0.39 % (19576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (19576)Termination reason: Unknown
% 0.12/0.39 % (19576)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (19576)Memory used [KB]: 5628
% 0.12/0.39 % (19576)Time elapsed: 0.012 s
% 0.12/0.39 % (19576)Instructions burned: 18 (million)
% 0.12/0.39 % (19576)------------------------------
% 0.12/0.39 % (19576)------------------------------
% 0.12/0.39 % (19581)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)
% 0.12/0.40 % (19578)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)
% 0.12/0.40 % (19572)Instruction limit reached!
% 0.12/0.40 % (19572)------------------------------
% 0.12/0.40 % (19572)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (19572)Termination reason: Unknown
% 0.12/0.40 % (19572)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (19572)Memory used [KB]: 5756
% 0.12/0.40 % (19572)Time elapsed: 0.019 s
% 0.12/0.40 % (19572)Instructions burned: 27 (million)
% 0.12/0.40 % (19572)------------------------------
% 0.12/0.40 % (19572)------------------------------
% 0.12/0.40 % (19579)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)
% 0.12/0.40 % (19580)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)
% 0.12/0.40 % (19580)Instruction limit reached!
% 0.12/0.40 % (19580)------------------------------
% 0.12/0.40 % (19580)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (19580)Termination reason: Unknown
% 0.12/0.40 % (19580)Termination phase: Property scanning
% 0.12/0.40
% 0.12/0.40 % (19580)Memory used [KB]: 1023
% 0.12/0.40 % (19580)Time elapsed: 0.004 s
% 0.12/0.40 % (19580)Instructions burned: 4 (million)
% 0.12/0.40 % (19580)------------------------------
% 0.12/0.40 % (19580)------------------------------
% 0.12/0.40 % (19582)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.41 % (19579)Instruction limit reached!
% 0.12/0.41 % (19579)------------------------------
% 0.12/0.41 % (19579)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (19579)Termination reason: Unknown
% 0.12/0.41 % (19579)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (19579)Memory used [KB]: 5628
% 0.12/0.41 % (19579)Time elapsed: 0.010 s
% 0.12/0.41 % (19579)Instructions burned: 15 (million)
% 0.12/0.41 % (19579)------------------------------
% 0.12/0.41 % (19579)------------------------------
% 0.12/0.41 % (19582)Instruction limit reached!
% 0.12/0.41 % (19582)------------------------------
% 0.12/0.41 % (19582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (19582)Termination reason: Unknown
% 0.12/0.41 % (19582)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (19582)Memory used [KB]: 1023
% 0.12/0.41 % (19582)Time elapsed: 0.007 s
% 0.12/0.41 % (19582)Instructions burned: 8 (million)
% 0.12/0.41 % (19582)------------------------------
% 0.12/0.41 % (19582)------------------------------
% 0.12/0.41 % (19584)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (19587)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (19578)Instruction limit reached!
% 0.21/0.42 % (19578)------------------------------
% 0.21/0.42 % (19578)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (19578)Termination reason: Unknown
% 0.21/0.42 % (19578)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (19578)Memory used [KB]: 5884
% 0.21/0.42 % (19578)Time elapsed: 0.024 s
% 0.21/0.42 % (19578)Instructions burned: 37 (million)
% 0.21/0.42 % (19578)------------------------------
% 0.21/0.42 % (19578)------------------------------
% 0.21/0.42 % (19587)Instruction limit reached!
% 0.21/0.42 % (19587)------------------------------
% 0.21/0.42 % (19587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (19587)Termination reason: Unknown
% 0.21/0.42 % (19587)Termination phase: Naming
% 0.21/0.42
% 0.21/0.42 % (19587)Memory used [KB]: 1023
% 0.21/0.42 % (19587)Time elapsed: 0.004 s
% 0.21/0.42 % (19587)Instructions burned: 4 (million)
% 0.21/0.42 % (19587)------------------------------
% 0.21/0.42 % (19587)------------------------------
% 0.21/0.42 % (19584)Instruction limit reached!
% 0.21/0.42 % (19584)------------------------------
% 0.21/0.42 % (19584)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (19584)Termination reason: Unknown
% 0.21/0.42 % (19584)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (19584)Memory used [KB]: 5628
% 0.21/0.42 % (19584)Time elapsed: 0.012 s
% 0.21/0.42 % (19584)Instructions burned: 17 (million)
% 0.21/0.42 % (19584)------------------------------
% 0.21/0.42 % (19584)------------------------------
% 0.21/0.42 % (19590)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (19590)Instruction limit reached!
% 0.21/0.42 % (19590)------------------------------
% 0.21/0.42 % (19590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (19590)Termination reason: Unknown
% 0.21/0.42 % (19590)Termination phase: Preprocessing 1
% 0.21/0.42
% 0.21/0.42 % (19590)Memory used [KB]: 1023
% 0.21/0.42 % (19590)Time elapsed: 0.004 s
% 0.21/0.42 % (19590)Instructions burned: 3 (million)
% 0.21/0.42 % (19590)------------------------------
% 0.21/0.42 % (19590)------------------------------
% 0.21/0.43 % (19570)First to succeed.
% 0.21/0.43 % (19593)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (19593)Instruction limit reached!
% 0.21/0.43 % (19593)------------------------------
% 0.21/0.43 % (19593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (19593)Termination reason: Unknown
% 0.21/0.43 % (19593)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19593)Memory used [KB]: 5500
% 0.21/0.43 % (19593)Time elapsed: 0.006 s
% 0.21/0.43 % (19593)Instructions burned: 7 (million)
% 0.21/0.43 % (19593)------------------------------
% 0.21/0.43 % (19593)------------------------------
% 0.21/0.43 % (19598)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (19600)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (19581)Also succeeded, but the first one will report.
% 0.21/0.43 % (19598)Instruction limit reached!
% 0.21/0.43 % (19598)------------------------------
% 0.21/0.43 % (19598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (19598)Termination reason: Unknown
% 0.21/0.43 % (19598)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (19598)Memory used [KB]: 1023
% 0.21/0.43 % (19598)Time elapsed: 0.004 s
% 0.21/0.43 % (19598)Instructions burned: 4 (million)
% 0.21/0.43 % (19598)------------------------------
% 0.21/0.43 % (19598)------------------------------
% 0.21/0.44 % (19600)Instruction limit reached!
% 0.21/0.44 % (19600)------------------------------
% 0.21/0.44 % (19600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (19600)Termination reason: Unknown
% 0.21/0.44 % (19600)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (19600)Memory used [KB]: 1023
% 0.21/0.44 % (19600)Time elapsed: 0.004 s
% 0.21/0.44 % (19600)Instructions burned: 4 (million)
% 0.21/0.44 % (19600)------------------------------
% 0.21/0.44 % (19600)------------------------------
% 0.21/0.44 % (19570)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% 0.21/0.44 thf(type_def_5, type, mworld: $tType).
% 0.21/0.44 thf(func_def_0, type, mworld: $tType).
% 0.21/0.44 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.21/0.44 thf(func_def_2, type, mactual: mworld).
% 0.21/0.44 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.21/0.44 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.44 thf(func_def_16, type, number: $i > $i > mworld > $o).
% 0.21/0.44 thf(func_def_17, type, string: $i > mworld > $o).
% 0.21/0.44 thf(func_def_18, type, in: $i > $i > $i > mworld > $o).
% 0.21/0.44 thf(func_def_19, type, do: $i > $i > $i > mworld > $o).
% 0.21/0.44 thf(func_def_20, type, entry_box: $i > mworld > $o).
% 0.21/0.44 thf(func_def_21, type, userid: $i > $i > mworld > $o).
% 0.21/0.44 thf(func_def_41, type, sK1: mworld).
% 0.21/0.44 thf(func_def_42, type, sK2: $i > $i > $i > $i > mworld).
% 0.21/0.44 thf(func_def_43, type, sK3: $i > $i > mworld).
% 0.21/0.44 thf(func_def_44, type, sK4: $i > $i > $i > $i > $i).
% 0.21/0.44 thf(func_def_45, type, sK5: $i > $i > $i > $i > $i).
% 0.21/0.44 thf(func_def_47, type, sK7: mworld > $i > $i > $i > $i).
% 0.21/0.44 thf(func_def_48, type, sK8: mworld > $i).
% 0.21/0.44 thf(f405,plain,(
% 0.21/0.44 $false),
% 0.21/0.44 inference(avatar_sat_refutation,[],[f205,f268,f278,f295,f305,f334,f370,f378,f394,f404])).
% 0.21/0.44 thf(f404,plain,(
% 0.21/0.44 ~spl0_10),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f403])).
% 0.21/0.44 thf(f403,plain,(
% 0.21/0.44 $false | ~spl0_10),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f395])).
% 0.21/0.44 thf(f395,plain,(
% 0.21/0.44 ($true = $false) | ~spl0_10),
% 0.21/0.44 inference(superposition,[],[f333,f62])).
% 0.21/0.44 thf(f62,plain,(
% 0.21/0.44 ( ! [X0 : mworld] : (((mrel @ X0 @ X0) = $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f49])).
% 0.21/0.44 thf(f49,plain,(
% 0.21/0.44 ! [X0 : mworld] : ((mrel @ X0 @ X0) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f48])).
% 0.21/0.44 thf(f48,plain,(
% 0.21/0.44 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 0.21/0.44 inference(rectify,[],[f9])).
% 0.21/0.44 thf(f9,axiom,(
% 0.21/0.44 ! [X2 : mworld] : (mrel @ X2 @ X2)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive)).
% 0.21/0.44 thf(f333,plain,(
% 0.21/0.44 ((mrel @ mactual @ mactual) = $false) | ~spl0_10),
% 0.21/0.44 inference(avatar_component_clause,[],[f331])).
% 0.21/0.44 thf(f331,plain,(
% 0.21/0.44 spl0_10 <=> ((mrel @ mactual @ mactual) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.21/0.44 thf(f394,plain,(
% 0.21/0.44 ~spl0_7 | spl0_8),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f393])).
% 0.21/0.44 thf(f393,plain,(
% 0.21/0.44 $false | (~spl0_7 | spl0_8)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f390])).
% 0.21/0.44 thf(f390,plain,(
% 0.21/0.44 ($true = $false) | (~spl0_7 | spl0_8)),
% 0.21/0.44 inference(superposition,[],[f321,f387])).
% 0.21/0.44 thf(f387,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ (sK3 @ (sK8 @ mactual) @ sK6)) = $true) | spl0_8),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f385])).
% 0.21/0.44 thf(f385,plain,(
% 0.21/0.44 ($false != $false) | ((entry_box @ sK6 @ (sK3 @ (sK8 @ mactual) @ sK6)) = $true) | spl0_8),
% 0.21/0.44 inference(superposition,[],[f324,f114])).
% 0.21/0.44 thf(f114,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((entry_box @ sK6 @ X1) = $true)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f112])).
% 0.21/0.44 thf(f112,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((entry_box @ sK6 @ X1) & (number @ sK6 @ one @ X1)) = $true)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f111])).
% 0.21/0.44 thf(f111,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => ((entry_box @ sK6 @ X1) & (number @ sK6 @ one @ X1))) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f110])).
% 0.21/0.44 thf(f110,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK6 @ Y0) & (number @ sK6 @ one @ Y0)))) @ X1) = $true)) )),
% 0.21/0.44 inference(pi_clausification,[],[f109])).
% 0.21/0.44 thf(f109,plain,(
% 0.21/0.44 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK6 @ Y0) & (number @ sK6 @ one @ Y0))))) = $true)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f108])).
% 0.21/0.44 thf(f108,plain,(
% 0.21/0.44 ($true = ((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((entry_box @ Y0 @ Y1) & (number @ Y0 @ one @ Y1)))))) @ sK6))),
% 0.21/0.44 inference(sigma_clausification,[],[f107])).
% 0.21/0.44 thf(f107,plain,(
% 0.21/0.44 ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((entry_box @ Y0 @ Y1) & (number @ Y0 @ one @ Y1))))))) = $true)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f69])).
% 0.21/0.44 thf(f69,plain,(
% 0.21/0.44 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.21/0.44 inference(definition_unfolding,[],[f55,f57,f60,f64,f67])).
% 0.21/0.44 thf(f67,plain,(
% 0.21/0.44 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f26])).
% 0.21/0.44 thf(f26,plain,(
% 0.21/0.44 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.21/0.44 inference(fool_elimination,[],[f25])).
% 0.21/0.44 thf(f25,plain,(
% 0.21/0.44 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.21/0.44 inference(rectify,[],[f3])).
% 0.21/0.44 thf(f3,axiom,(
% 0.21/0.44 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.21/0.44 thf(f64,plain,(
% 0.21/0.44 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f33])).
% 0.21/0.44 thf(f33,plain,(
% 0.21/0.44 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.21/0.44 inference(fool_elimination,[],[f32])).
% 0.21/0.44 thf(f32,plain,(
% 0.21/0.44 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.21/0.44 inference(rectify,[],[f7])).
% 0.21/0.44 thf(f7,axiom,(
% 0.21/0.44 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.21/0.44 thf(f60,plain,(
% 0.21/0.44 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f37])).
% 0.21/0.44 thf(f37,plain,(
% 0.21/0.44 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.44 inference(fool_elimination,[],[f36])).
% 0.21/0.44 thf(f36,plain,(
% 0.21/0.44 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : (X0 @ X2 @ X1))))),
% 0.21/0.44 inference(rectify,[],[f12])).
% 0.21/0.44 thf(f12,axiom,(
% 0.21/0.44 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : (X1 @ X6 @ X2))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.21/0.44 thf(f57,plain,(
% 0.21/0.44 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.44 inference(cnf_transformation,[],[f27])).
% 0.21/0.44 thf(f27,plain,(
% 0.21/0.44 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.44 inference(fool_elimination,[],[f1])).
% 0.21/0.44 thf(f1,axiom,(
% 0.21/0.44 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.21/0.44 thf(f55,plain,(
% 0.21/0.44 ((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f24])).
% 0.21/0.44 thf(f24,plain,(
% 0.21/0.44 ((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f23])).
% 0.21/0.44 thf(f23,plain,(
% 0.21/0.44 (mlocal @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))),
% 0.21/0.44 inference(rectify,[],[f14])).
% 0.21/0.44 thf(f14,axiom,(
% 0.21/0.44 (mlocal @ (mexists_di @ (^[X3 : $i] : (mbox @ (mand @ (entry_box @ X3) @ (number @ X3 @ one))))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 0.21/0.44 thf(f324,plain,(
% 0.21/0.44 ((mrel @ mactual @ (sK3 @ (sK8 @ mactual) @ sK6)) != $false) | spl0_8),
% 0.21/0.44 inference(avatar_component_clause,[],[f323])).
% 0.21/0.44 thf(f323,plain,(
% 0.21/0.44 spl0_8 <=> ((mrel @ mactual @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.21/0.44 thf(f321,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false) | ~spl0_7),
% 0.21/0.44 inference(avatar_component_clause,[],[f319])).
% 0.21/0.44 thf(f319,plain,(
% 0.21/0.44 spl0_7 <=> ((entry_box @ sK6 @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.21/0.44 thf(f378,plain,(
% 0.21/0.44 spl0_10 | spl0_1 | ~spl0_9),
% 0.21/0.44 inference(avatar_split_clause,[],[f377,f327,f193,f331])).
% 0.21/0.44 thf(f193,plain,(
% 0.21/0.44 spl0_1 <=> ((mrel @ mactual @ sK1) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.44 thf(f327,plain,(
% 0.21/0.44 spl0_9 <=> ((string @ (sK8 @ mactual) @ sK1) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.21/0.44 thf(f377,plain,(
% 0.21/0.44 ((mrel @ mactual @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 0.21/0.44 inference(subsumption_resolution,[],[f373,f194])).
% 0.21/0.44 thf(f194,plain,(
% 0.21/0.44 ((mrel @ mactual @ sK1) != $false) | spl0_1),
% 0.21/0.44 inference(avatar_component_clause,[],[f193])).
% 0.21/0.44 thf(f373,plain,(
% 0.21/0.44 ((mrel @ mactual @ mactual) = $false) | ((mrel @ mactual @ sK1) = $false) | ~spl0_9),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f372])).
% 0.21/0.44 thf(f372,plain,(
% 0.21/0.44 ($true = $false) | ((mrel @ mactual @ sK1) = $false) | ((mrel @ mactual @ mactual) = $false) | ~spl0_9),
% 0.21/0.44 inference(superposition,[],[f144,f329])).
% 0.21/0.44 thf(f329,plain,(
% 0.21/0.44 ((string @ (sK8 @ mactual) @ sK1) = $false) | ~spl0_9),
% 0.21/0.44 inference(avatar_component_clause,[],[f327])).
% 0.21/0.44 thf(f144,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X1 : mworld] : (((string @ (sK8 @ X1) @ X2) = $true) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X2) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f143])).
% 0.21/0.44 thf(f143,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X1 : mworld] : (((mrel @ X1 @ X2) = $false) | ($true = ((userid @ u @ (sK8 @ X1) @ X2) & (string @ (sK8 @ X1) @ X2))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f142])).
% 0.21/0.44 thf(f142,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ X1 @ X2) => ((userid @ u @ (sK8 @ X1) @ X2) & (string @ (sK8 @ X1) @ X2))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f141])).
% 0.21/0.44 thf(f141,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK8 @ X1) @ Y0) & (string @ (sK8 @ X1) @ Y0)))) @ X2) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f140])).
% 0.21/0.44 thf(f140,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK8 @ X1) @ Y0) & (string @ (sK8 @ X1) @ Y0)))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f139])).
% 0.21/0.44 thf(f139,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1)))))) @ (sK8 @ X1)) = $true)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f138])).
% 0.21/0.44 thf(f138,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f137])).
% 0.21/0.44 thf(f137,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1)))))))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f136])).
% 0.21/0.44 thf(f136,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((userid @ u @ Y1 @ Y2) & (string @ Y1 @ Y2))))))))) @ X1) = $true)) )),
% 0.21/0.44 inference(pi_clausification,[],[f135])).
% 0.21/0.44 thf(f135,plain,(
% 0.21/0.44 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((userid @ u @ Y1 @ Y2) & (string @ Y1 @ Y2)))))))))) = $true)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f71])).
% 0.21/0.44 thf(f71,plain,(
% 0.21/0.44 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (userid @ u @ Y0) @ (string @ Y0))))))))),
% 0.21/0.44 inference(definition_unfolding,[],[f65,f57,f64,f60,f64,f67])).
% 0.21/0.44 thf(f65,plain,(
% 0.21/0.44 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f35])).
% 0.21/0.44 thf(f35,plain,(
% 0.21/0.44 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f34])).
% 0.21/0.44 thf(f34,plain,(
% 0.21/0.44 (mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (userid @ u @ X0) @ (string @ X0)))))))),
% 0.21/0.44 inference(rectify,[],[f13])).
% 0.21/0.44 thf(f13,axiom,(
% 0.21/0.44 (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mbox @ (mand @ (userid @ u @ X7) @ (string @ X7)))))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 0.21/0.44 thf(f370,plain,(
% 0.21/0.44 spl0_9 | ~spl0_2 | spl0_6 | ~spl0_8),
% 0.21/0.44 inference(avatar_split_clause,[],[f369,f323,f291,f197,f327])).
% 0.21/0.44 thf(f197,plain,(
% 0.21/0.44 spl0_2 <=> ! [X0,X1] : (((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false))),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.21/0.44 thf(f291,plain,(
% 0.21/0.44 spl0_6 <=> ((entry_box @ sK6 @ sK1) = $false)),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.21/0.44 thf(f369,plain,(
% 0.21/0.44 ((string @ (sK8 @ mactual) @ sK1) = $false) | (~spl0_2 | spl0_6 | ~spl0_8)),
% 0.21/0.44 inference(subsumption_resolution,[],[f368,f292])).
% 0.21/0.44 thf(f292,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ sK1) != $false) | spl0_6),
% 0.21/0.44 inference(avatar_component_clause,[],[f291])).
% 0.21/0.44 thf(f368,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ sK1) = $false) | ((string @ (sK8 @ mactual) @ sK1) = $false) | (~spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(subsumption_resolution,[],[f361,f77])).
% 0.21/0.44 thf(f77,plain,(
% 0.21/0.44 ((mrel @ mactual @ sK1) = $true)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f75])).
% 0.21/0.44 thf(f75,plain,(
% 0.21/0.44 (((mrel @ mactual @ sK1) => (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))))))))))) = $false)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f74])).
% 0.21/0.44 thf(f74,plain,(
% 0.21/0.44 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => ((userid @ u @ Y1 @ Y5) & ((entry_box @ Y2 @ Y5) & (number @ Y2 @ one @ Y5)))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5)))))))))))))))))) @ sK1) = $false)),
% 0.21/0.44 inference(sigma_clausification,[],[f73])).
% 0.21/0.44 thf(f73,plain,(
% 0.21/0.44 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => ((userid @ u @ Y1 @ Y5) & ((entry_box @ Y2 @ Y5) & (number @ Y2 @ one @ Y5)))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5))))))))))))))))))) != $true)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f72])).
% 0.21/0.44 thf(f72,plain,(
% 0.21/0.44 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (userid @ u @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: (Y4 @ Y6 @ Y5)))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
% 0.21/0.44 inference(definition_unfolding,[],[f68,f57,f64,f60,f60,f60,f60,f67,f64,f67,f67,f64,f66,f61])).
% 0.21/0.44 thf(f61,plain,(
% 0.21/0.44 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f22])).
% 0.21/0.44 thf(f22,plain,(
% 0.21/0.44 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.44 inference(fool_elimination,[],[f21])).
% 0.21/0.44 thf(f21,plain,(
% 0.21/0.44 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.21/0.44 inference(rectify,[],[f5])).
% 0.21/0.44 thf(f5,axiom,(
% 0.21/0.44 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.21/0.44 thf(f66,plain,(
% 0.21/0.44 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f29])).
% 0.21/0.44 thf(f29,plain,(
% 0.21/0.44 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.44 inference(fool_elimination,[],[f28])).
% 0.21/0.44 thf(f28,plain,(
% 0.21/0.44 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))) = mforall_di)),
% 0.21/0.44 inference(rectify,[],[f11])).
% 0.21/0.44 thf(f11,axiom,(
% 0.21/0.44 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : (X1 @ X6 @ X2))) = mforall_di)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.21/0.44 thf(f68,plain,(
% 0.21/0.44 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f50])).
% 0.21/0.44 thf(f50,plain,(
% 0.21/0.44 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
% 0.21/0.44 inference(flattening,[],[f41])).
% 0.21/0.44 thf(f41,plain,(
% 0.21/0.44 ~((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f40])).
% 0.21/0.44 thf(f40,plain,(
% 0.21/0.44 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X0) @ (mand @ (entry_box @ X1) @ (number @ X1 @ one)))) @ (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X3 @ X2 @ X4) @ (in @ X0 @ X1 @ X4))))))))))))))))),
% 0.21/0.44 inference(rectify,[],[f17])).
% 0.21/0.44 thf(f17,negated_conjecture,(
% 0.21/0.44 ~(mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X8 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X7) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X9 : $i] : (mimplies @ (do @ X8 @ X1 @ X9) @ (in @ X7 @ X3 @ X9))))))))))))))))),
% 0.21/0.44 inference(negated_conjecture,[],[f16])).
% 0.21/0.44 thf(f16,conjecture,(
% 0.21/0.44 (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X8 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X7) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X9 : $i] : (mimplies @ (do @ X8 @ X1 @ X9) @ (in @ X7 @ X3 @ X9))))))))))))))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.21/0.44 thf(f361,plain,(
% 0.21/0.44 ((string @ (sK8 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ sK1) != $true) | ((entry_box @ sK6 @ sK1) = $false) | (~spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f360])).
% 0.21/0.44 thf(f360,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ sK1) = $false) | ($true != $true) | ((mrel @ mactual @ sK1) != $true) | ((string @ (sK8 @ mactual) @ sK1) = $false) | (~spl0_2 | ~spl0_8)),
% 0.21/0.44 inference(superposition,[],[f338,f198])).
% 0.21/0.44 thf(f198,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false)) ) | ~spl0_2),
% 0.21/0.44 inference(avatar_component_clause,[],[f197])).
% 0.21/0.44 thf(f338,plain,(
% 0.21/0.44 ( ! [X0 : mworld] : (((mrel @ X0 @ (sK3 @ (sK8 @ mactual) @ sK6)) != $true) | ((mrel @ mactual @ X0) != $true)) ) | ~spl0_8),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f336])).
% 0.21/0.44 thf(f336,plain,(
% 0.21/0.44 ( ! [X0 : mworld] : (((mrel @ X0 @ (sK3 @ (sK8 @ mactual) @ sK6)) != $true) | ((mrel @ mactual @ X0) != $true) | ($true = $false)) ) | ~spl0_8),
% 0.21/0.44 inference(superposition,[],[f54,f325])).
% 0.21/0.44 thf(f325,plain,(
% 0.21/0.44 ((mrel @ mactual @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false) | ~spl0_8),
% 0.21/0.44 inference(avatar_component_clause,[],[f323])).
% 0.21/0.44 thf(f54,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X2) = $true) | ((mrel @ X0 @ X1) != $true) | ((mrel @ X1 @ X2) != $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f52])).
% 0.21/0.44 thf(f52,plain,(
% 0.21/0.44 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X1 @ X2) != $true) | ((mrel @ X0 @ X1) != $true) | ((mrel @ X0 @ X2) = $true))),
% 0.21/0.44 inference(flattening,[],[f51])).
% 0.21/0.44 thf(f51,plain,(
% 0.21/0.44 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X0 @ X2) = $true) | (((mrel @ X1 @ X2) != $true) | ((mrel @ X0 @ X1) != $true)))),
% 0.21/0.44 inference(ennf_transformation,[],[f43])).
% 0.21/0.44 thf(f43,plain,(
% 0.21/0.44 ! [X0 : mworld,X1 : mworld,X2 : mworld] : ((((mrel @ X1 @ X2) = $true) & ((mrel @ X0 @ X1) = $true)) => ((mrel @ X0 @ X2) = $true))),
% 0.21/0.44 inference(fool_elimination,[],[f42])).
% 0.21/0.44 thf(f42,plain,(
% 0.21/0.44 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X1 @ X2) & (mrel @ X0 @ X1)) => (mrel @ X0 @ X2))),
% 0.21/0.44 inference(rectify,[],[f10])).
% 0.21/0.44 thf(f10,axiom,(
% 0.21/0.44 ! [X2 : mworld,X4 : mworld,X5 : mworld] : (((mrel @ X4 @ X5) & (mrel @ X2 @ X4)) => (mrel @ X2 @ X5))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive)).
% 0.21/0.44 thf(f334,plain,(
% 0.21/0.44 spl0_7 | spl0_8 | spl0_9 | spl0_10 | ~spl0_5),
% 0.21/0.44 inference(avatar_split_clause,[],[f317,f288,f331,f327,f323,f319])).
% 0.21/0.44 thf(f288,plain,(
% 0.21/0.44 spl0_5 <=> ! [X0] : (((mrel @ mactual @ (sK3 @ X0 @ sK6)) = $false) | ((entry_box @ sK6 @ (sK3 @ X0 @ sK6)) = $false) | ((string @ X0 @ sK1) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ sK6)) = $false))),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.21/0.44 thf(f317,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false) | ((string @ (sK8 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ mactual) = $false) | ((mrel @ mactual @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false) | ~spl0_5),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f314])).
% 0.21/0.44 thf(f314,plain,(
% 0.21/0.44 ((mrel @ mactual @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false) | ((string @ (sK8 @ mactual) @ sK1) = $false) | ((entry_box @ sK6 @ (sK3 @ (sK8 @ mactual) @ sK6)) = $false) | ($false != $false) | ((mrel @ mactual @ mactual) = $false) | ~spl0_5),
% 0.21/0.44 inference(equality_factoring,[],[f311])).
% 0.21/0.44 thf(f311,plain,(
% 0.21/0.44 ( ! [X0 : mworld] : (((mrel @ mactual @ (sK3 @ (sK8 @ X0) @ sK6)) = $false) | ((mrel @ mactual @ X0) = $false) | ((mrel @ X0 @ (sK3 @ (sK8 @ X0) @ sK6)) = $false) | ((entry_box @ sK6 @ (sK3 @ (sK8 @ X0) @ sK6)) = $false) | ((string @ (sK8 @ X0) @ sK1) = $false)) ) | ~spl0_5),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f309])).
% 0.21/0.44 thf(f309,plain,(
% 0.21/0.44 ( ! [X0 : mworld] : (((entry_box @ sK6 @ (sK3 @ (sK8 @ X0) @ sK6)) = $false) | ((mrel @ mactual @ X0) = $false) | ($true = $false) | ((mrel @ X0 @ (sK3 @ (sK8 @ X0) @ sK6)) = $false) | ((string @ (sK8 @ X0) @ sK1) = $false) | ((mrel @ mactual @ (sK3 @ (sK8 @ X0) @ sK6)) = $false)) ) | ~spl0_5),
% 0.21/0.44 inference(superposition,[],[f145,f289])).
% 0.21/0.44 thf(f289,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((userid @ u @ X0 @ (sK3 @ X0 @ sK6)) = $false) | ((mrel @ mactual @ (sK3 @ X0 @ sK6)) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ sK6 @ (sK3 @ X0 @ sK6)) = $false)) ) | ~spl0_5),
% 0.21/0.44 inference(avatar_component_clause,[],[f288])).
% 0.21/0.44 thf(f145,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X1 : mworld] : (((userid @ u @ (sK8 @ X1) @ X2) = $true) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X2) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f143])).
% 0.21/0.44 thf(f305,plain,(
% 0.21/0.44 ~spl0_6),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f304])).
% 0.21/0.44 thf(f304,plain,(
% 0.21/0.44 $false | ~spl0_6),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f296])).
% 0.21/0.44 thf(f296,plain,(
% 0.21/0.44 ($true = $false) | ~spl0_6),
% 0.21/0.44 inference(superposition,[],[f293,f153])).
% 0.21/0.44 thf(f153,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ sK1) = $true)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f148])).
% 0.21/0.44 thf(f148,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ sK1) = $true) | ($true = $false)),
% 0.21/0.44 inference(superposition,[],[f77,f114])).
% 0.21/0.44 thf(f293,plain,(
% 0.21/0.44 ((entry_box @ sK6 @ sK1) = $false) | ~spl0_6),
% 0.21/0.44 inference(avatar_component_clause,[],[f291])).
% 0.21/0.44 thf(f295,plain,(
% 0.21/0.44 spl0_6 | spl0_5 | ~spl0_4),
% 0.21/0.44 inference(avatar_split_clause,[],[f285,f265,f288,f291])).
% 0.21/0.44 thf(f265,plain,(
% 0.21/0.44 spl0_4 <=> ! [X0,X1] : (((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false))),
% 0.21/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.21/0.44 thf(f285,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((userid @ u @ X0 @ (sK3 @ X0 @ sK6)) = $false) | ((mrel @ mactual @ (sK3 @ X0 @ sK6)) = $false) | ((entry_box @ sK6 @ (sK3 @ X0 @ sK6)) = $false) | ((entry_box @ sK6 @ sK1) = $false) | ((string @ X0 @ sK1) = $false)) ) | ~spl0_4),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f283])).
% 0.21/0.44 thf(f283,plain,(
% 0.21/0.44 ( ! [X0 : $i] : (((entry_box @ sK6 @ sK1) = $false) | ($true = $false) | ((string @ X0 @ sK1) = $false) | ((mrel @ mactual @ (sK3 @ X0 @ sK6)) = $false) | ((entry_box @ sK6 @ (sK3 @ X0 @ sK6)) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ sK6)) = $false)) ) | ~spl0_4),
% 0.21/0.44 inference(superposition,[],[f266,f113])).
% 0.21/0.44 thf(f113,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (((number @ sK6 @ one @ X1) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f112])).
% 0.21/0.44 thf(f266,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false)) ) | ~spl0_4),
% 0.21/0.44 inference(avatar_component_clause,[],[f265])).
% 0.21/0.44 thf(f278,plain,(
% 0.21/0.44 ~spl0_1),
% 0.21/0.44 inference(avatar_contradiction_clause,[],[f277])).
% 0.21/0.44 thf(f277,plain,(
% 0.21/0.44 $false | ~spl0_1),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f269])).
% 0.21/0.44 thf(f269,plain,(
% 0.21/0.44 ($true = $false) | ~spl0_1),
% 0.21/0.44 inference(superposition,[],[f195,f77])).
% 0.21/0.44 thf(f195,plain,(
% 0.21/0.44 ((mrel @ mactual @ sK1) = $false) | ~spl0_1),
% 0.21/0.44 inference(avatar_component_clause,[],[f193])).
% 0.21/0.44 thf(f268,plain,(
% 0.21/0.44 spl0_4 | spl0_1),
% 0.21/0.44 inference(avatar_split_clause,[],[f254,f193,f265])).
% 0.21/0.44 thf(f254,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f253])).
% 0.21/0.44 thf(f253,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((mrel @ mactual @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ($true = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1)))) )),
% 0.21/0.44 inference(duplicate_literal_removal,[],[f245])).
% 0.21/0.44 thf(f245,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ((mrel @ mactual @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ($true = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ((entry_box @ X1 @ sK1) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false)) )),
% 0.21/0.44 inference(superposition,[],[f177,f102])).
% 0.21/0.44 thf(f102,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $true) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f100])).
% 0.21/0.44 thf(f100,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2))))))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f99])).
% 0.21/0.44 thf(f99,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2))) = $false) | ($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2))))))) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f91])).
% 0.21/0.44 thf(f91,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((userid @ u @ X1 @ (sK3 @ X1 @ X2)) & ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2)))) = $false) | ($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f90])).
% 0.21/0.44 thf(f90,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK1 @ (sK3 @ X1 @ X2)) => ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) & ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2))))) = $false) | ($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f89])).
% 0.21/0.44 thf(f89,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0))))) @ (sK3 @ X1 @ X2)) = $false) | ($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))))) )),
% 0.21/0.44 inference(sigma_clausification,[],[f88])).
% 0.21/0.44 thf(f88,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) = $false) | ($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f87])).
% 0.21/0.44 thf(f87,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))) @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f86])).
% 0.21/0.44 thf(f86,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f85])).
% 0.21/0.44 thf(f85,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f84])).
% 0.21/0.44 thf(f84,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))))) @ X4) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f83])).
% 0.21/0.44 thf(f83,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1)))))))))) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f82])).
% 0.21/0.44 thf(f82,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))))))) @ X3) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f81])).
% 0.21/0.44 thf(f81,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2)))))))))))) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f80])).
% 0.21/0.44 thf(f80,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))))))))) @ X2))) )),
% 0.21/0.44 inference(pi_clausification,[],[f79])).
% 0.21/0.44 thf(f79,plain,(
% 0.21/0.44 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3)))))))))))))) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f78])).
% 0.21/0.44 thf(f78,plain,(
% 0.21/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))))))))) @ X1) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f76])).
% 0.21/0.44 thf(f76,plain,(
% 0.21/0.44 ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4)))))))))))))))) = $false)),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f75])).
% 0.21/0.44 thf(f177,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK2 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ((string @ X0 @ X2) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1)))) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f176])).
% 0.21/0.44 thf(f176,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK2 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ($true = $false) | ((string @ X0 @ X2) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ X2) = $false)) )),
% 0.21/0.44 inference(duplicate_literal_removal,[],[f172])).
% 0.21/0.44 thf(f172,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ($true = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ((mrel @ X2 @ (sK2 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((userid @ u @ X0 @ (sK3 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ($false = (number @ X1 @ one @ (sK3 @ X0 @ X1))) | ((entry_box @ X1 @ (sK3 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ((mrel @ mactual @ X2) = $false) | ((string @ X0 @ X2) = $false)) )),
% 0.21/0.44 inference(superposition,[],[f165,f105])).
% 0.21/0.44 thf(f105,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK5 @ X1 @ X3 @ X4 @ X2) @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f104])).
% 0.21/0.44 thf(f104,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((do @ X4 @ X3 @ (sK5 @ X1 @ X3 @ X4 @ X2) @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK5 @ X1 @ X3 @ X4 @ X2) @ (sK2 @ X3 @ X1 @ X4 @ X2))) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f103])).
% 0.21/0.44 thf(f103,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f101])).
% 0.21/0.44 thf(f101,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f100])).
% 0.21/0.44 thf(f165,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($true = (in @ X2 @ X3 @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ((entry_box @ X5 @ (sK3 @ X4 @ X5)) = $false) | ((entry_box @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((number @ X5 @ one @ (sK3 @ X4 @ X5)) = $false) | ((mrel @ X1 @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false) | ($false = (string @ X2 @ X1)) | ((userid @ u @ X4 @ (sK3 @ X4 @ X5)) = $false)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f162])).
% 0.21/0.44 thf(f162,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((entry_box @ X5 @ (sK3 @ X4 @ X5)) = $false) | ($true = (in @ X2 @ X3 @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ((userid @ u @ X4 @ (sK3 @ X4 @ X5)) = $false) | ((mrel @ X1 @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (string @ X2 @ X1)) | ($true = $false) | ((number @ X5 @ one @ (sK3 @ X4 @ X5)) = $false) | ((entry_box @ X3 @ X1) = $false)) )),
% 0.21/0.44 inference(superposition,[],[f106,f134])).
% 0.21/0.44 thf(f134,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) = $false) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ($false = (string @ X3 @ X1)) | ((entry_box @ X4 @ X1) = $false) | ((in @ X3 @ X4 @ X6 @ X5) = $true)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f133])).
% 0.21/0.44 thf(f133,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | (((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5)) = $true) | ((mrel @ mactual @ X1) = $false) | ($false = (string @ X3 @ X1))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f132])).
% 0.21/0.44 thf(f132,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : ((((^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))) @ X6) = $true) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | ($false = (string @ X3 @ X1))) )),
% 0.21/0.44 inference(pi_clausification,[],[f131])).
% 0.21/0.44 thf(f131,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5)))) = $true) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (string @ X3 @ X1))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f130])).
% 0.21/0.44 thf(f130,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ mactual @ X1) = $false) | ($false = (string @ X3 @ X1)) | (((mrel @ X1 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))) = $true) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f129])).
% 0.21/0.44 thf(f129,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : ((((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))) @ X5) = $true) | ($false = (string @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f128])).
% 0.21/0.44 thf(f128,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0))))))) = $true) | ($false = (string @ X3 @ X1)) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f127])).
% 0.21/0.44 thf(f127,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ($false = (string @ X3 @ X1)) | (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f126])).
% 0.21/0.44 thf(f126,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ($false = (string @ X3 @ X1)) | ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))) = $true) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f125])).
% 0.21/0.44 thf(f125,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : ((((string @ X3 @ X1) & (entry_box @ X4 @ X1)) = $false) | ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f124])).
% 0.21/0.44 thf(f124,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ($true = (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) => (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))))))) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f123])).
% 0.21/0.44 thf(f123,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2))))))))))) @ X4) = $true)) )),
% 0.21/0.44 inference(pi_clausification,[],[f122])).
% 0.21/0.44 thf(f122,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f121])).
% 0.21/0.44 thf(f121,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : mworld] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3))))))))))))) @ X3) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(pi_clausification,[],[f120])).
% 0.21/0.44 thf(f120,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))))))))) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f119])).
% 0.21/0.44 thf(f119,plain,(
% 0.21/0.44 ( ! [X2 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4))))))))))))))) @ X2))) )),
% 0.21/0.44 inference(pi_clausification,[],[f118])).
% 0.21/0.44 thf(f118,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f117])).
% 0.21/0.44 thf(f117,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4))))))))))))))))) = $true)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f116])).
% 0.21/0.44 thf(f116,plain,(
% 0.21/0.44 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((string @ Y2 @ Y0) & (entry_box @ Y3 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))))))))))))) @ X1) = $true)) )),
% 0.21/0.44 inference(pi_clausification,[],[f115])).
% 0.21/0.44 thf(f115,plain,(
% 0.21/0.44 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((string @ Y2 @ Y0) & (entry_box @ Y3 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5))))))))))))))))))) = $true)),
% 0.21/0.44 inference(beta_eta_normalization,[],[f70])).
% 0.21/0.44 thf(f70,plain,(
% 0.21/0.44 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ (string @ Y1) @ (entry_box @ Y2)) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: (Y4 @ Y6 @ Y5)))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))))),
% 0.21/0.44 inference(definition_unfolding,[],[f58,f57,f64,f66,f66,f66,f61,f67,f60,f64,f66,f61])).
% 0.21/0.44 thf(f58,plain,(
% 0.21/0.44 ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f45])).
% 0.21/0.44 thf(f45,plain,(
% 0.21/0.44 ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f44])).
% 0.21/0.44 thf(f44,plain,(
% 0.21/0.44 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mimplies @ (mand @ (string @ X1) @ (entry_box @ X2)) @ (mexists_di @ (^[X3 : $i] : (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X0 @ X3 @ X4) @ (in @ X1 @ X2 @ X4))))))))))))))))),
% 0.21/0.44 inference(rectify,[],[f15])).
% 0.21/0.44 thf(f15,axiom,(
% 0.21/0.44 (mlocal @ (mbox @ (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X7 : $i] : (mforall_di @ (^[X3 : $i] : (mimplies @ (mand @ (string @ X7) @ (entry_box @ X3)) @ (mexists_di @ (^[X1 : $i] : (mbox @ (mforall_di @ (^[X9 : $i] : (mimplies @ (do @ X8 @ X1 @ X9) @ (in @ X7 @ X3 @ X9))))))))))))))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 0.21/0.44 thf(f106,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK5 @ X1 @ X3 @ X4 @ X2) @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $true) | ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false)) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f104])).
% 0.21/0.44 thf(f205,plain,(
% 0.21/0.44 spl0_2 | spl0_1),
% 0.21/0.44 inference(avatar_split_clause,[],[f185,f193,f197])).
% 0.21/0.44 thf(f185,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ((string @ X0 @ sK1) = $false)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f184])).
% 0.21/0.44 thf(f184,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((mrel @ mactual @ sK1) = $false) | ($true = $false) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((string @ X0 @ sK1) = $false)) )),
% 0.21/0.44 inference(duplicate_literal_removal,[],[f180])).
% 0.21/0.44 thf(f180,plain,(
% 0.21/0.44 ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ($true = $false) | ((mrel @ mactual @ sK1) = $false) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true)) )),
% 0.21/0.44 inference(superposition,[],[f171,f94])).
% 0.21/0.44 thf(f94,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $true) | ($true = (mrel @ sK1 @ (sK3 @ X1 @ X2)))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f92])).
% 0.21/0.44 thf(f92,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK3 @ X1 @ X2))) | ($false = ((mrel @ sK1 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f90])).
% 0.21/0.44 thf(f171,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK2 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((string @ X0 @ X2) = $false) | ((entry_box @ X1 @ X2) = $false)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f170])).
% 0.21/0.44 thf(f170,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((string @ X0 @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ((mrel @ X2 @ (sK2 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ($true = $false) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true)) )),
% 0.21/0.44 inference(duplicate_literal_removal,[],[f166])).
% 0.21/0.44 thf(f166,plain,(
% 0.21/0.44 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK2 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ X2) = $false) | ((mrel @ sK1 @ (sK3 @ X0 @ X1)) = $true) | ((string @ X0 @ X2) = $false) | ($true = $false)) )),
% 0.21/0.44 inference(superposition,[],[f161,f97])).
% 0.21/0.44 thf(f97,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $false) | ($true = (mrel @ sK1 @ (sK3 @ X1 @ X2)))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f96])).
% 0.21/0.44 thf(f96,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK3 @ X1 @ X2))) | (((do @ X4 @ X3 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK2 @ X3 @ X1 @ X4 @ X2))) = $false)) )),
% 0.21/0.44 inference(beta_eta_normalization,[],[f95])).
% 0.21/0.44 thf(f95,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK3 @ X1 @ X2))) | (((^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))) @ (sK4 @ X1 @ X2 @ X3 @ X4)) = $false)) )),
% 0.21/0.44 inference(sigma_clausification,[],[f93])).
% 0.21/0.44 thf(f93,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK2 @ X3 @ X1 @ X4 @ X2)))))) | ($true = (mrel @ sK1 @ (sK3 @ X1 @ X2)))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f92])).
% 0.21/0.44 thf(f161,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK4 @ X4 @ X5 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $true) | ((mrel @ X1 @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false) | ((entry_box @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (string @ X2 @ X1)) | ((mrel @ sK1 @ (sK3 @ X4 @ X5)) = $true)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f158])).
% 0.21/0.44 thf(f158,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK4 @ X4 @ X5 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $true) | ((mrel @ X1 @ (sK2 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false) | ((entry_box @ X3 @ X1) = $false) | ((mrel @ sK1 @ (sK3 @ X4 @ X5)) = $true) | ($false = (string @ X2 @ X1)) | ($true = $false) | ((mrel @ mactual @ X1) = $false)) )),
% 0.21/0.44 inference(superposition,[],[f98,f134])).
% 0.21/0.44 thf(f98,plain,(
% 0.21/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK2 @ X3 @ X1 @ X4 @ X2)) = $true) | ($true = (mrel @ sK1 @ (sK3 @ X1 @ X2)))) )),
% 0.21/0.44 inference(binary_proxy_clausification,[],[f96])).
% 0.21/0.44 % SZS output end Proof for theBenchmark
% 0.21/0.44 % (19570)------------------------------
% 0.21/0.44 % (19570)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (19570)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (19570)Memory used [KB]: 6268
% 0.21/0.44 % (19570)Time elapsed: 0.057 s
% 0.21/0.44 % (19570)Instructions burned: 74 (million)
% 0.21/0.44 % (19570)------------------------------
% 0.21/0.44 % (19570)------------------------------
% 0.21/0.44 % (19569)Success in time 0.064 s
%------------------------------------------------------------------------------