TSTP Solution File: LCL863^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL863^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.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 11:34:17 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL863^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n026.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 17:00:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37 % (31071)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 % (31074)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (31073)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 % (31075)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)
% 0.12/0.38 % (31076)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 % (31072)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 % (31077)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 % (31074)Instruction limit reached!
% 0.12/0.38 % (31074)------------------------------
% 0.12/0.38 % (31074)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (31074)Termination reason: Unknown
% 0.12/0.38 % (31074)Termination phase: shuffling
% 0.12/0.38 % (31075)Instruction limit reached!
% 0.12/0.38 % (31075)------------------------------
% 0.12/0.38 % (31075)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38
% 0.12/0.38 % (31074)Memory used [KB]: 1023
% 0.12/0.38 % (31074)Time elapsed: 0.004 s
% 0.12/0.38 % (31074)Instructions burned: 3 (million)
% 0.12/0.38 % (31074)------------------------------
% 0.12/0.38 % (31074)------------------------------
% 0.12/0.38 % (31075)Termination reason: Unknown
% 0.12/0.38 % (31075)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (31075)Memory used [KB]: 1023
% 0.12/0.38 % (31075)Time elapsed: 0.004 s
% 0.12/0.38 % (31075)Instructions burned: 3 (million)
% 0.12/0.38 % (31075)------------------------------
% 0.12/0.38 % (31075)------------------------------
% 0.12/0.38 % (31072)Instruction limit reached!
% 0.12/0.38 % (31072)------------------------------
% 0.12/0.38 % (31072)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (31072)Termination reason: Unknown
% 0.12/0.38 % (31072)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (31072)Memory used [KB]: 1023
% 0.12/0.38 % (31072)Time elapsed: 0.004 s
% 0.12/0.38 % (31072)Instructions burned: 4 (million)
% 0.12/0.38 % (31072)------------------------------
% 0.12/0.38 % (31072)------------------------------
% 0.12/0.38 % (31077)Instruction limit reached!
% 0.12/0.38 % (31077)------------------------------
% 0.12/0.38 % (31077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (31077)Termination reason: Unknown
% 0.12/0.39 % (31077)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (31077)Memory used [KB]: 5628
% 0.12/0.39 % (31077)Time elapsed: 0.012 s
% 0.12/0.39 % (31077)Instructions burned: 18 (million)
% 0.12/0.39 % (31077)------------------------------
% 0.12/0.39 % (31077)------------------------------
% 0.12/0.39 % (31073)Instruction limit reached!
% 0.12/0.39 % (31073)------------------------------
% 0.12/0.39 % (31073)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (31073)Termination reason: Unknown
% 0.12/0.39 % (31073)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (31073)Memory used [KB]: 5884
% 0.12/0.39 % (31073)Time elapsed: 0.019 s
% 0.12/0.39 % (31073)Instructions burned: 27 (million)
% 0.12/0.39 % (31073)------------------------------
% 0.12/0.39 % (31073)------------------------------
% 0.12/0.39 % (31078)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)
% 0.12/0.39 % (31079)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)
% 0.12/0.39 % (31080)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)
% 0.12/0.39 % (31078)Instruction limit reached!
% 0.12/0.39 % (31078)------------------------------
% 0.12/0.39 % (31078)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (31078)Termination reason: Unknown
% 0.12/0.39 % (31078)Termination phase: Property scanning
% 0.12/0.39
% 0.12/0.39 % (31078)Memory used [KB]: 1023
% 0.12/0.39 % (31078)Time elapsed: 0.004 s
% 0.12/0.39 % (31078)Instructions burned: 4 (million)
% 0.12/0.39 % (31078)------------------------------
% 0.12/0.39 % (31078)------------------------------
% 0.12/0.40 % (31081)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 % (31080)Instruction limit reached!
% 0.12/0.40 % (31080)------------------------------
% 0.12/0.40 % (31080)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (31080)Termination reason: Unknown
% 0.12/0.40 % (31080)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (31080)Memory used [KB]: 5628
% 0.12/0.40 % (31080)Time elapsed: 0.010 s
% 0.12/0.40 % (31080)Instructions burned: 15 (million)
% 0.12/0.40 % (31080)------------------------------
% 0.12/0.40 % (31080)------------------------------
% 0.12/0.40 % (31081)Instruction limit reached!
% 0.12/0.40 % (31081)------------------------------
% 0.12/0.40 % (31081)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (31081)Termination reason: Unknown
% 0.12/0.40 % (31081)Termination phase: Property scanning
% 0.12/0.40
% 0.12/0.40 % (31081)Memory used [KB]: 1023
% 0.12/0.40 % (31081)Time elapsed: 0.004 s
% 0.12/0.40 % (31081)Instructions burned: 4 (million)
% 0.12/0.40 % (31081)------------------------------
% 0.12/0.40 % (31081)------------------------------
% 0.12/0.41 % (31082)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)
% 0.12/0.41 % (31083)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (31083)Instruction limit reached!
% 0.22/0.41 % (31083)------------------------------
% 0.22/0.41 % (31083)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (31083)Termination reason: Unknown
% 0.22/0.41 % (31083)Termination phase: Function definition elimination
% 0.22/0.41
% 0.22/0.41 % (31083)Memory used [KB]: 1023
% 0.22/0.41 % (31083)Time elapsed: 0.006 s
% 0.22/0.41 % (31083)Instructions burned: 7 (million)
% 0.22/0.41 % (31083)------------------------------
% 0.22/0.41 % (31083)------------------------------
% 0.22/0.42 % (31079)Instruction limit reached!
% 0.22/0.42 % (31079)------------------------------
% 0.22/0.42 % (31079)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (31079)Termination reason: Unknown
% 0.22/0.42 % (31079)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (31079)Memory used [KB]: 5756
% 0.22/0.42 % (31079)Time elapsed: 0.025 s
% 0.22/0.42 % (31079)Instructions burned: 37 (million)
% 0.22/0.42 % (31079)------------------------------
% 0.22/0.42 % (31079)------------------------------
% 0.22/0.42 % (31084)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42 % (31085)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)
% 0.22/0.42 % (31085)Instruction limit reached!
% 0.22/0.42 % (31085)------------------------------
% 0.22/0.42 % (31085)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (31085)Termination reason: Unknown
% 0.22/0.42 % (31085)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (31085)Memory used [KB]: 1023
% 0.22/0.42 % (31085)Time elapsed: 0.004 s
% 0.22/0.42 % (31085)Instructions burned: 3 (million)
% 0.22/0.42 % (31085)------------------------------
% 0.22/0.42 % (31085)------------------------------
% 0.22/0.43 % (31076)First to succeed.
% 0.22/0.43 % (31084)Instruction limit reached!
% 0.22/0.43 % (31084)------------------------------
% 0.22/0.43 % (31084)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (31084)Termination reason: Unknown
% 0.22/0.43 % (31084)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (31084)Memory used [KB]: 5884
% 0.22/0.43 % (31084)Time elapsed: 0.013 s
% 0.22/0.43 % (31084)Instructions burned: 17 (million)
% 0.22/0.43 % (31084)------------------------------
% 0.22/0.43 % (31084)------------------------------
% 0.22/0.43 % (31086)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)
% 0.22/0.43 % (31087)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)
% 0.22/0.43 % (31086)Instruction limit reached!
% 0.22/0.43 % (31086)------------------------------
% 0.22/0.43 % (31086)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (31086)Termination reason: Unknown
% 0.22/0.43 % (31086)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (31086)Memory used [KB]: 1023
% 0.22/0.43 % (31086)Time elapsed: 0.004 s
% 0.22/0.43 % (31086)Instructions burned: 4 (million)
% 0.22/0.43 % (31086)------------------------------
% 0.22/0.43 % (31086)------------------------------
% 0.22/0.43 % (31087)Instruction limit reached!
% 0.22/0.43 % (31087)------------------------------
% 0.22/0.43 % (31087)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (31087)Termination reason: Unknown
% 0.22/0.43 % (31087)Termination phase: Function definition elimination
% 0.22/0.43
% 0.22/0.43 % (31087)Memory used [KB]: 1023
% 0.22/0.43 % (31087)Time elapsed: 0.005 s
% 0.22/0.43 % (31087)Instructions burned: 7 (million)
% 0.22/0.43 % (31087)------------------------------
% 0.22/0.43 % (31087)------------------------------
% 0.22/0.44 % (31088)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)
% 0.22/0.44 % (31076)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% 0.22/0.44 thf(type_def_5, type, mu: $tType).
% 0.22/0.44 thf(func_def_0, type, mu: $tType).
% 0.22/0.44 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.44 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.44 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.44 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.44 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.44 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_48, type, sK0: $i > $i > $o).
% 0.22/0.44 thf(func_def_50, type, sK2: $i > $i).
% 0.22/0.44 thf(func_def_61, type, sK13: $i > $i).
% 0.22/0.44 thf(f1052,plain,(
% 0.22/0.44 $false),
% 0.22/0.44 inference(avatar_sat_refutation,[],[f269,f274,f279,f284,f285,f286,f291,f292,f293,f294,f295,f296,f301,f302,f303,f304,f305,f306,f310,f317,f318,f322,f323,f346,f360,f370,f443,f490,f519,f618,f662,f690,f1047])).
% 0.22/0.44 thf(f1047,plain,(
% 0.22/0.44 ~spl1_7 | ~spl1_11 | ~spl1_12 | ~spl1_13 | ~spl1_14),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f1046])).
% 0.22/0.44 thf(f1046,plain,(
% 0.22/0.44 $false | (~spl1_7 | ~spl1_11 | ~spl1_12 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f1038])).
% 0.22/0.44 thf(f1038,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_7 | ~spl1_11 | ~spl1_12 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(superposition,[],[f1032,f290])).
% 0.22/0.44 thf(f290,plain,(
% 0.22/0.44 ($true = (sK0 @ sK8 @ sK11)) | ~spl1_11),
% 0.22/0.44 inference(avatar_component_clause,[],[f288])).
% 0.22/0.44 thf(f288,plain,(
% 0.22/0.44 spl1_11 <=> ($true = (sK0 @ sK8 @ sK11))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
% 0.22/0.44 thf(f1032,plain,(
% 0.22/0.44 ($false = (sK0 @ sK8 @ sK11)) | (~spl1_7 | ~spl1_12 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f1029])).
% 0.22/0.44 thf(f1029,plain,(
% 0.22/0.44 ($true = $false) | ($false = (sK0 @ sK8 @ sK11)) | (~spl1_7 | ~spl1_12 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(superposition,[],[f300,f851])).
% 0.22/0.44 thf(f851,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK4)) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_7 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f840])).
% 0.22/0.44 thf(f840,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK11) = $false) | ($true = $false) | ($false = (sK0 @ X0 @ sK4))) ) | (~spl1_7 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(superposition,[],[f313,f728])).
% 0.22/0.44 thf(f728,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((sK0 @ sK4 @ X0) = $false) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_7 | ~spl1_13)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f710])).
% 0.22/0.44 thf(f710,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((sK0 @ sK4 @ X0) = $false) | ((sK0 @ X0 @ sK11) = $false) | ($true = $false)) ) | (~spl1_7 | ~spl1_13)),
% 0.22/0.44 inference(superposition,[],[f309,f268])).
% 0.22/0.44 thf(f268,plain,(
% 0.22/0.44 ($false = (sK0 @ sK4 @ sK11)) | ~spl1_7),
% 0.22/0.44 inference(avatar_component_clause,[],[f266])).
% 0.22/0.44 thf(f266,plain,(
% 0.22/0.44 spl1_7 <=> ($false = (sK0 @ sK4 @ sK11))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.22/0.44 thf(f309,plain,(
% 0.22/0.44 ( ! [X3 : $i,X6 : $i,X5 : $i] : (($true = (sK0 @ X5 @ X3)) | ($false = (sK0 @ X5 @ X6)) | ((sK0 @ X6 @ X3) = $false)) ) | ~spl1_13),
% 0.22/0.44 inference(avatar_component_clause,[],[f308])).
% 0.22/0.44 thf(f308,plain,(
% 0.22/0.44 spl1_13 <=> ! [X6,X5,X3] : (($false = (sK0 @ X5 @ X6)) | ((sK0 @ X6 @ X3) = $false) | ($true = (sK0 @ X5 @ X3)))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
% 0.22/0.44 thf(f313,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i] : (($true = (sK0 @ X2 @ X3)) | ($false = (sK0 @ X3 @ X2))) ) | ~spl1_14),
% 0.22/0.44 inference(avatar_component_clause,[],[f312])).
% 0.22/0.44 thf(f312,plain,(
% 0.22/0.44 spl1_14 <=> ! [X2,X3] : (($false = (sK0 @ X3 @ X2)) | ($true = (sK0 @ X2 @ X3)))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
% 0.22/0.44 thf(f300,plain,(
% 0.22/0.44 ($true = (sK0 @ sK8 @ sK4)) | ~spl1_12),
% 0.22/0.44 inference(avatar_component_clause,[],[f298])).
% 0.22/0.44 thf(f298,plain,(
% 0.22/0.44 spl1_12 <=> ($true = (sK0 @ sK8 @ sK4))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
% 0.22/0.44 thf(f690,plain,(
% 0.22/0.44 ~spl1_2 | ~spl1_7 | ~spl1_11 | ~spl1_12),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f689])).
% 0.22/0.44 thf(f689,plain,(
% 0.22/0.44 $false | (~spl1_2 | ~spl1_7 | ~spl1_11 | ~spl1_12)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f682])).
% 0.22/0.44 thf(f682,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_2 | ~spl1_7 | ~spl1_11 | ~spl1_12)),
% 0.22/0.44 inference(superposition,[],[f681,f290])).
% 0.22/0.44 thf(f681,plain,(
% 0.22/0.44 ($false = (sK0 @ sK8 @ sK11)) | (~spl1_2 | ~spl1_7 | ~spl1_12)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f672])).
% 0.22/0.44 thf(f672,plain,(
% 0.22/0.44 ($true = $false) | ($false = (sK0 @ sK8 @ sK11)) | (~spl1_2 | ~spl1_7 | ~spl1_12)),
% 0.22/0.44 inference(superposition,[],[f666,f300])).
% 0.22/0.44 thf(f666,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK4)) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_2 | ~spl1_7)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f663])).
% 0.22/0.44 thf(f663,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ X0 @ sK11) = $false) | ($false = (sK0 @ X0 @ sK4))) ) | (~spl1_2 | ~spl1_7)),
% 0.22/0.44 inference(superposition,[],[f268,f248])).
% 0.22/0.44 thf(f248,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X4 : $i] : (($true = (sK0 @ X2 @ X4)) | ($false = (sK0 @ X3 @ X2)) | ((sK0 @ X3 @ X4) = $false)) ) | ~spl1_2),
% 0.22/0.44 inference(avatar_component_clause,[],[f247])).
% 0.22/0.44 thf(f247,plain,(
% 0.22/0.44 spl1_2 <=> ! [X4,X2,X3] : (((sK0 @ X3 @ X4) = $false) | ($false = (sK0 @ X3 @ X2)) | ($true = (sK0 @ X2 @ X4)))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.22/0.44 thf(f662,plain,(
% 0.22/0.44 ~spl1_2 | ~spl1_4 | ~spl1_8 | ~spl1_9 | ~spl1_15),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f661])).
% 0.22/0.44 thf(f661,plain,(
% 0.22/0.44 $false | (~spl1_2 | ~spl1_4 | ~spl1_8 | ~spl1_9 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f655])).
% 0.22/0.44 thf(f655,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_2 | ~spl1_4 | ~spl1_8 | ~spl1_9 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f278,f641])).
% 0.22/0.44 thf(f641,plain,(
% 0.22/0.44 ($false = (sK0 @ sK7 @ sK12)) | (~spl1_2 | ~spl1_4 | ~spl1_8 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f636])).
% 0.22/0.44 thf(f636,plain,(
% 0.22/0.44 ($false = (sK0 @ sK7 @ sK12)) | ($true = $false) | (~spl1_2 | ~spl1_4 | ~spl1_8 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f273,f630])).
% 0.22/0.44 thf(f630,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK5)) | ((sK0 @ sK7 @ X0) = $false)) ) | (~spl1_2 | ~spl1_4 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f623])).
% 0.22/0.44 thf(f623,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK7 @ X0) = $false) | ($false = (sK0 @ X0 @ sK5))) ) | (~spl1_2 | ~spl1_4 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f316,f583])).
% 0.22/0.44 thf(f583,plain,(
% 0.22/0.44 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ sK7)) | ((sK0 @ X1 @ X0) = $false) | ($false = (sK0 @ X0 @ sK5))) ) | (~spl1_2 | ~spl1_4)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f575])).
% 0.22/0.44 thf(f575,plain,(
% 0.22/0.44 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((sK0 @ X1 @ X0) = $false) | ($false = (sK0 @ X1 @ sK7)) | ($false = (sK0 @ X0 @ sK5))) ) | (~spl1_2 | ~spl1_4)),
% 0.22/0.44 inference(superposition,[],[f538,f248])).
% 0.22/0.44 thf(f538,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK7)) | ($false = (sK0 @ X0 @ sK5))) ) | (~spl1_2 | ~spl1_4)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f530])).
% 0.22/0.44 thf(f530,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK5)) | ($false = (sK0 @ X0 @ sK7)) | ($true = $false)) ) | (~spl1_2 | ~spl1_4)),
% 0.22/0.44 inference(superposition,[],[f257,f248])).
% 0.22/0.44 thf(f257,plain,(
% 0.22/0.44 ((sK0 @ sK7 @ sK5) = $false) | ~spl1_4),
% 0.22/0.44 inference(avatar_component_clause,[],[f255])).
% 0.22/0.44 thf(f255,plain,(
% 0.22/0.44 spl1_4 <=> ((sK0 @ sK7 @ sK5) = $false)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.22/0.44 thf(f316,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ X1 @ X1))) ) | ~spl1_15),
% 0.22/0.44 inference(avatar_component_clause,[],[f315])).
% 0.22/0.44 thf(f315,plain,(
% 0.22/0.44 spl1_15 <=> ! [X1] : ($true = (sK0 @ X1 @ X1))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
% 0.22/0.44 thf(f273,plain,(
% 0.22/0.44 ($true = (sK0 @ sK12 @ sK5)) | ~spl1_8),
% 0.22/0.44 inference(avatar_component_clause,[],[f271])).
% 0.22/0.44 thf(f271,plain,(
% 0.22/0.44 spl1_8 <=> ($true = (sK0 @ sK12 @ sK5))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.22/0.44 thf(f278,plain,(
% 0.22/0.44 ($true = (sK0 @ sK7 @ sK12)) | ~spl1_9),
% 0.22/0.44 inference(avatar_component_clause,[],[f276])).
% 0.22/0.44 thf(f276,plain,(
% 0.22/0.44 spl1_9 <=> ($true = (sK0 @ sK7 @ sK12))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.22/0.44 thf(f618,plain,(
% 0.22/0.44 ~spl1_2 | ~spl1_3 | ~spl1_10 | ~spl1_15),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f617])).
% 0.22/0.44 thf(f617,plain,(
% 0.22/0.44 $false | (~spl1_2 | ~spl1_3 | ~spl1_10 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f606])).
% 0.22/0.44 thf(f606,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_2 | ~spl1_3 | ~spl1_10 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f603,f283])).
% 0.22/0.44 thf(f283,plain,(
% 0.22/0.44 ((sK0 @ sK10 @ sK9) = $true) | ~spl1_10),
% 0.22/0.44 inference(avatar_component_clause,[],[f281])).
% 0.22/0.44 thf(f281,plain,(
% 0.22/0.44 spl1_10 <=> ((sK0 @ sK10 @ sK9) = $true)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 0.22/0.44 thf(f603,plain,(
% 0.22/0.44 ((sK0 @ sK10 @ sK9) = $false) | (~spl1_2 | ~spl1_3 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f594])).
% 0.22/0.44 thf(f594,plain,(
% 0.22/0.44 ($true = $false) | ((sK0 @ sK10 @ sK9) = $false) | (~spl1_2 | ~spl1_3 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f540,f316])).
% 0.22/0.44 thf(f540,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK10)) | ($false = (sK0 @ X0 @ sK9))) ) | (~spl1_2 | ~spl1_3)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f531])).
% 0.22/0.44 thf(f531,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ($false = (sK0 @ X0 @ sK10)) | ($false = (sK0 @ X0 @ sK9))) ) | (~spl1_2 | ~spl1_3)),
% 0.22/0.44 inference(superposition,[],[f253,f248])).
% 0.22/0.44 thf(f253,plain,(
% 0.22/0.44 ((sK0 @ sK9 @ sK10) = $false) | ~spl1_3),
% 0.22/0.44 inference(avatar_component_clause,[],[f251])).
% 0.22/0.44 thf(f251,plain,(
% 0.22/0.44 spl1_3 <=> ((sK0 @ sK9 @ sK10) = $false)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.22/0.44 thf(f519,plain,(
% 0.22/0.44 ~spl1_3 | ~spl1_10 | ~spl1_14),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f518])).
% 0.22/0.44 thf(f518,plain,(
% 0.22/0.44 $false | (~spl1_3 | ~spl1_10 | ~spl1_14)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f506])).
% 0.22/0.44 thf(f506,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_3 | ~spl1_10 | ~spl1_14)),
% 0.22/0.44 inference(superposition,[],[f500,f283])).
% 0.22/0.44 thf(f500,plain,(
% 0.22/0.44 ((sK0 @ sK10 @ sK9) = $false) | (~spl1_3 | ~spl1_14)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f496])).
% 0.22/0.44 thf(f496,plain,(
% 0.22/0.44 ((sK0 @ sK10 @ sK9) = $false) | ($true = $false) | (~spl1_3 | ~spl1_14)),
% 0.22/0.44 inference(superposition,[],[f313,f253])).
% 0.22/0.44 thf(f490,plain,(
% 0.22/0.44 ~spl1_4 | ~spl1_8 | ~spl1_9 | ~spl1_13),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f489])).
% 0.22/0.44 thf(f489,plain,(
% 0.22/0.44 $false | (~spl1_4 | ~spl1_8 | ~spl1_9 | ~spl1_13)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f482])).
% 0.22/0.44 thf(f482,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_4 | ~spl1_8 | ~spl1_9 | ~spl1_13)),
% 0.22/0.44 inference(superposition,[],[f278,f476])).
% 0.22/0.44 thf(f476,plain,(
% 0.22/0.44 ($false = (sK0 @ sK7 @ sK12)) | (~spl1_4 | ~spl1_8 | ~spl1_13)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f472])).
% 0.22/0.44 thf(f472,plain,(
% 0.22/0.44 ($false = (sK0 @ sK7 @ sK12)) | ($true = $false) | (~spl1_4 | ~spl1_8 | ~spl1_13)),
% 0.22/0.44 inference(superposition,[],[f273,f456])).
% 0.22/0.44 thf(f456,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK5)) | ((sK0 @ sK7 @ X0) = $false)) ) | (~spl1_4 | ~spl1_13)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f451])).
% 0.22/0.44 thf(f451,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK7 @ X0) = $false) | ($false = (sK0 @ X0 @ sK5))) ) | (~spl1_4 | ~spl1_13)),
% 0.22/0.44 inference(superposition,[],[f309,f257])).
% 0.22/0.44 thf(f443,plain,(
% 0.22/0.44 ~spl1_6 | ~spl1_13 | ~spl1_14 | ~spl1_16),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f442])).
% 0.22/0.44 thf(f442,plain,(
% 0.22/0.44 $false | (~spl1_6 | ~spl1_13 | ~spl1_14 | ~spl1_16)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f431])).
% 0.22/0.44 thf(f431,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_6 | ~spl1_13 | ~spl1_14 | ~spl1_16)),
% 0.22/0.44 inference(superposition,[],[f428,f321])).
% 0.22/0.44 thf(f321,plain,(
% 0.22/0.44 ( ! [X2 : $i] : (((sK0 @ X2 @ (sK2 @ X2)) = $true)) ) | ~spl1_16),
% 0.22/0.44 inference(avatar_component_clause,[],[f320])).
% 0.22/0.44 thf(f320,plain,(
% 0.22/0.44 spl1_16 <=> ! [X2] : ((sK0 @ X2 @ (sK2 @ X2)) = $true)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
% 0.22/0.44 thf(f428,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((sK0 @ sK3 @ X0) = $false)) ) | (~spl1_6 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f427])).
% 0.22/0.44 thf(f427,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK3 @ X0) = $false)) ) | (~spl1_6 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(duplicate_literal_removal,[],[f418])).
% 0.22/0.44 thf(f418,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK3 @ X0) = $false) | ((sK0 @ sK3 @ X0) = $false)) ) | (~spl1_6 | ~spl1_13 | ~spl1_14)),
% 0.22/0.44 inference(superposition,[],[f385,f313])).
% 0.22/0.44 thf(f385,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false = (sK0 @ X0 @ sK3)) | ((sK0 @ sK3 @ X0) = $false)) ) | (~spl1_6 | ~spl1_13)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f382])).
% 0.22/0.44 thf(f382,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($true = $false) | ($false = (sK0 @ X0 @ sK3)) | ((sK0 @ sK3 @ X0) = $false)) ) | (~spl1_6 | ~spl1_13)),
% 0.22/0.44 inference(superposition,[],[f264,f309])).
% 0.22/0.44 thf(f264,plain,(
% 0.22/0.44 ((sK0 @ sK3 @ sK3) = $false) | ~spl1_6),
% 0.22/0.44 inference(avatar_component_clause,[],[f262])).
% 0.22/0.44 thf(f262,plain,(
% 0.22/0.44 spl1_6 <=> ((sK0 @ sK3 @ sK3) = $false)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.22/0.44 thf(f370,plain,(
% 0.22/0.44 ~spl1_5 | ~spl1_16),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f369])).
% 0.22/0.44 thf(f369,plain,(
% 0.22/0.44 $false | (~spl1_5 | ~spl1_16)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f364])).
% 0.22/0.44 thf(f364,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_5 | ~spl1_16)),
% 0.22/0.44 inference(superposition,[],[f321,f260])).
% 0.22/0.44 thf(f260,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false)) ) | ~spl1_5),
% 0.22/0.44 inference(avatar_component_clause,[],[f259])).
% 0.22/0.44 thf(f259,plain,(
% 0.22/0.44 spl1_5 <=> ! [X1] : ((sK0 @ sK6 @ X1) = $false)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.22/0.44 thf(f360,plain,(
% 0.22/0.44 ~spl1_6 | ~spl1_15),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f359])).
% 0.22/0.44 thf(f359,plain,(
% 0.22/0.44 $false | (~spl1_6 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f349])).
% 0.22/0.44 thf(f349,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_6 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f264,f316])).
% 0.22/0.44 thf(f346,plain,(
% 0.22/0.44 ~spl1_5 | ~spl1_15),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f345])).
% 0.22/0.44 thf(f345,plain,(
% 0.22/0.44 $false | (~spl1_5 | ~spl1_15)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f339])).
% 0.22/0.44 thf(f339,plain,(
% 0.22/0.44 ($true = $false) | (~spl1_5 | ~spl1_15)),
% 0.22/0.44 inference(superposition,[],[f260,f316])).
% 0.22/0.44 thf(f323,plain,(
% 0.22/0.44 spl1_14 | spl1_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f132,f247,f312])).
% 0.22/0.44 thf(f132,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (sK0 @ X3 @ X2)) | ((sK0 @ X3 @ X4) = $false) | ((sK0 @ X1 @ X5) = $true) | ((sK0 @ X5 @ X1) = $false) | ($true = (sK0 @ X2 @ X4))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f131])).
% 0.22/0.44 thf(f131,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (sK0 @ X2 @ X4)) | ($false = ((sK0 @ X3 @ X2) & (sK0 @ X3 @ X4))) | ((sK0 @ X1 @ X5) = $true) | ((sK0 @ X5 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f130])).
% 0.22/0.44 thf(f130,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = ((sK0 @ X5 @ X1) => (sK0 @ X1 @ X5))) | ($true = (sK0 @ X2 @ X4)) | ($false = ((sK0 @ X3 @ X2) & (sK0 @ X3 @ X4)))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f129])).
% 0.22/0.44 thf(f129,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (((sK0 @ X3 @ X2) & (sK0 @ X3 @ X4)) => (sK0 @ X2 @ X4))) | ($true = ((sK0 @ X5 @ X1) => (sK0 @ X1 @ X5)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f128])).
% 0.22/0.44 thf(f128,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0))) @ X5) = $true) | ($true = (((sK0 @ X3 @ X2) & (sK0 @ X3 @ X4)) => (sK0 @ X2 @ X4)))) )),
% 0.22/0.44 inference(pi_clausification,[],[f127])).
% 0.22/0.44 thf(f127,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0))))) | ($true = (((sK0 @ X3 @ X2) & (sK0 @ X3 @ X4)) => (sK0 @ X2 @ X4)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f126])).
% 0.22/0.44 thf(f126,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0))))) | ($true = ((^[Y0 : $i]: (((sK0 @ X3 @ X2) & (sK0 @ X3 @ Y0)) => (sK0 @ X2 @ Y0))) @ X4))) )),
% 0.22/0.44 inference(pi_clausification,[],[f125])).
% 0.22/0.44 thf(f125,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X3 @ X2) & (sK0 @ X3 @ Y0)) => (sK0 @ X2 @ Y0)))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0)))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f124])).
% 0.22/0.44 thf(f124,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X2) & (sK0 @ Y0 @ Y1)) => (sK0 @ X2 @ Y1))))) @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0)))))) )),
% 0.22/0.44 inference(pi_clausification,[],[f123])).
% 0.22/0.44 thf(f123,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X2) & (sK0 @ Y0 @ Y1)) => (sK0 @ X2 @ Y1))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0)))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f122])).
% 0.22/0.44 thf(f122,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))) @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0)))))) )),
% 0.22/0.44 inference(pi_clausification,[],[f121])).
% 0.22/0.44 thf(f121,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (sK0 @ X1 @ Y0)))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f120])).
% 0.22/0.44 thf(f120,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f119])).
% 0.22/0.44 thf(f119,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f117])).
% 0.22/0.44 thf(f117,plain,(
% 0.22/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) @ sK0))),
% 0.22/0.44 inference(definition_unfolding,[],[f105,f111,f101])).
% 0.22/0.44 thf(f101,plain,(
% 0.22/0.44 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f78])).
% 0.22/0.44 thf(f78,plain,(
% 0.22/0.44 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f77])).
% 0.22/0.44 thf(f77,plain,(
% 0.22/0.44 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X1) & (X0 @ X2 @ X3)) => (X0 @ X3 @ X1)))) = meuclidean)),
% 0.22/0.44 inference(rectify,[],[f22])).
% 0.22/0.44 thf(f22,axiom,(
% 0.22/0.44 ((^[X6 : $i > $i > $o] : (! [X10,X8,X9] : (((X6 @ X8 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X9 @ X10)))) = meuclidean)),
% 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean)).
% 0.22/0.44 thf(f111,plain,(
% 0.22/0.44 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f68])).
% 0.22/0.44 thf(f68,plain,(
% 0.22/0.44 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f67])).
% 0.22/0.44 thf(f67,plain,(
% 0.22/0.44 (msymmetric = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))))),
% 0.22/0.44 inference(rectify,[],[f19])).
% 0.22/0.44 thf(f19,axiom,(
% 0.22/0.44 (msymmetric = (^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))))),
% 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.22/0.44 thf(f105,plain,(
% 0.22/0.44 ($true = (msymmetric @ sK0)) | ($true = (meuclidean @ sK0))),
% 0.22/0.44 inference(cnf_transformation,[],[f99])).
% 0.22/0.44 thf(f99,plain,(
% 0.22/0.44 (($true != (mserial @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (msymmetric @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mreflexive @ sK0))) & ((($true = (mserial @ sK0)) & ($true = (mtransitive @ sK0)) & ($true = (msymmetric @ sK0))) | (($true = (meuclidean @ sK0)) & ($true = (mreflexive @ sK0))))),
% 0.22/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f97,f98])).
% 0.22/0.44 thf(f98,plain,(
% 0.22/0.44 ? [X0 : $i > $i > $o] : ((($true != (mserial @ X0)) | ($true != (mtransitive @ X0)) | ($true != (msymmetric @ X0)) | ((meuclidean @ X0) != $true) | ((mreflexive @ X0) != $true)) & ((($true = (mserial @ X0)) & ($true = (mtransitive @ X0)) & ($true = (msymmetric @ X0))) | (((meuclidean @ X0) = $true) & ((mreflexive @ X0) = $true)))) => ((($true != (mserial @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (msymmetric @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mreflexive @ sK0))) & ((($true = (mserial @ sK0)) & ($true = (mtransitive @ sK0)) & ($true = (msymmetric @ sK0))) | (($true = (meuclidean @ sK0)) & ($true = (mreflexive @ sK0)))))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f97,plain,(
% 0.22/0.44 ? [X0 : $i > $i > $o] : ((($true != (mserial @ X0)) | ($true != (mtransitive @ X0)) | ($true != (msymmetric @ X0)) | ((meuclidean @ X0) != $true) | ((mreflexive @ X0) != $true)) & ((($true = (mserial @ X0)) & ($true = (mtransitive @ X0)) & ($true = (msymmetric @ X0))) | (((meuclidean @ X0) = $true) & ((mreflexive @ X0) = $true))))),
% 0.22/0.44 inference(flattening,[],[f96])).
% 0.22/0.44 thf(f96,plain,(
% 0.22/0.44 ? [X0 : $i > $i > $o] : (((($true != (mserial @ X0)) | ($true != (mtransitive @ X0)) | ($true != (msymmetric @ X0))) | (((meuclidean @ X0) != $true) | ((mreflexive @ X0) != $true))) & ((($true = (mserial @ X0)) & ($true = (mtransitive @ X0)) & ($true = (msymmetric @ X0))) | (((meuclidean @ X0) = $true) & ((mreflexive @ X0) = $true))))),
% 0.22/0.44 inference(nnf_transformation,[],[f95])).
% 0.22/0.44 thf(f95,plain,(
% 0.22/0.44 ? [X0 : $i > $i > $o] : ((((meuclidean @ X0) = $true) & ((mreflexive @ X0) = $true)) <~> (($true = (mserial @ X0)) & ($true = (mtransitive @ X0)) & ($true = (msymmetric @ X0))))),
% 0.22/0.44 inference(ennf_transformation,[],[f61])).
% 0.22/0.44 thf(f61,plain,(
% 0.22/0.44 ~! [X0 : $i > $i > $o] : ((($true = (mserial @ X0)) & ($true = (mtransitive @ X0)) & ($true = (msymmetric @ X0))) <=> (((meuclidean @ X0) = $true) & ((mreflexive @ X0) = $true)))),
% 0.22/0.44 inference(fool_elimination,[],[f60])).
% 0.22/0.44 thf(f60,plain,(
% 0.22/0.44 ~! [X0 : $i > $i > $o] : (((meuclidean @ X0) & (mreflexive @ X0)) <=> ((mserial @ X0) & (mtransitive @ X0) & (msymmetric @ X0)))),
% 0.22/0.44 inference(rectify,[],[f33])).
% 0.22/0.44 thf(f33,negated_conjecture,(
% 0.22/0.44 ~! [X6 : $i > $i > $o] : (((meuclidean @ X6) & (mreflexive @ X6)) <=> ((mserial @ X6) & (mtransitive @ X6) & (msymmetric @ X6)))),
% 0.22/0.44 inference(negated_conjecture,[],[f32])).
% 0.22/0.44 thf(f32,conjecture,(
% 0.22/0.44 ! [X6 : $i > $i > $o] : (((meuclidean @ X6) & (mreflexive @ X6)) <=> ((mserial @ X6) & (mtransitive @ X6) & (msymmetric @ X6)))),
% 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.22/0.44 thf(f322,plain,(
% 0.22/0.44 spl1_15 | spl1_16),
% 0.22/0.44 inference(avatar_split_clause,[],[f138,f320,f315])).
% 0.22/0.44 thf(f138,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (((sK0 @ X2 @ (sK2 @ X2)) = $true) | ($true = (sK0 @ X1 @ X1))) )),
% 0.22/0.44 inference(sigma_clausification,[],[f137])).
% 0.22/0.44 thf(f137,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (?? @ $i @ (sK0 @ X2))) | ($true = (sK0 @ X1 @ X1))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f136])).
% 0.22/0.44 thf(f136,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X1)) | ($true = ((^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))) @ X2))) )),
% 0.22/0.44 inference(pi_clausification,[],[f135])).
% 0.22/0.44 thf(f135,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))))) | ($true = (sK0 @ X1 @ X1))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f134])).
% 0.22/0.44 thf(f134,plain,(
% 0.22/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ X1) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0)))))) )),
% 0.22/0.44 inference(pi_clausification,[],[f133])).
% 0.22/0.44 thf(f133,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0)))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f114])).
% 0.22/0.44 thf(f114,plain,(
% 0.22/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0))),
% 0.22/0.44 inference(definition_unfolding,[],[f108,f103,f102])).
% 0.22/0.44 thf(f102,plain,(
% 0.22/0.44 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.22/0.44 inference(cnf_transformation,[],[f76])).
% 0.22/0.44 thf(f76,plain,(
% 0.22/0.44 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.22/0.44 inference(fool_elimination,[],[f75])).
% 0.22/0.44 thf(f75,plain,(
% 0.22/0.44 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 0.22/0.44 inference(rectify,[],[f18])).
% 0.22/0.44 thf(f18,axiom,(
% 0.22/0.44 ((^[X6 : $i > $i > $o] : (! [X8] : (X6 @ X8 @ X8))) = mreflexive)),
% 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
% 0.22/0.44 thf(f103,plain,(
% 0.22/0.44 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f86])).
% 0.22/0.44 thf(f86,plain,(
% 0.22/0.44 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.44 inference(fool_elimination,[],[f85])).
% 0.22/0.44 thf(f85,plain,(
% 0.22/0.44 (mserial = (^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))))),
% 0.22/0.44 inference(rectify,[],[f20])).
% 0.22/0.44 thf(f20,axiom,(
% 0.22/0.44 (mserial = (^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))))),
% 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
% 0.22/0.44 thf(f108,plain,(
% 0.22/0.44 ($true = (mserial @ sK0)) | ($true = (mreflexive @ sK0))),
% 0.22/0.44 inference(cnf_transformation,[],[f99])).
% 0.22/0.44 thf(f318,plain,(
% 0.22/0.44 spl1_13 | spl1_15),
% 0.22/0.44 inference(avatar_split_clause,[],[f149,f315,f308])).
% 0.22/0.44 thf(f149,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (sK0 @ X4 @ X1)) | ((sK0 @ X2 @ X2) = $true) | ((sK0 @ X3 @ X4) = $false) | ($true = (sK0 @ X3 @ X1))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f148])).
% 0.22/0.44 thf(f148,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((sK0 @ X2 @ X2) = $true) | ($false = ((sK0 @ X3 @ X4) & (sK0 @ X4 @ X1))) | ($true = (sK0 @ X3 @ X1))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f147])).
% 0.22/0.44 thf(f147,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((sK0 @ X2 @ X2) = $true) | ($true = (((sK0 @ X3 @ X4) & (sK0 @ X4 @ X1)) => (sK0 @ X3 @ X1)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f146])).
% 0.22/0.44 thf(f146,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X3 @ Y0) & (sK0 @ Y0 @ X1)) => (sK0 @ X3 @ X1))) @ X4)) | ((sK0 @ X2 @ X2) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f145])).
% 0.22/0.44 thf(f145,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ X3 @ Y0) & (sK0 @ Y0 @ X1)) => (sK0 @ X3 @ X1))))) | ((sK0 @ X2 @ X2) = $true)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f144])).
% 0.22/0.44 thf(f144,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X1)) => (sK0 @ Y0 @ X1))))) @ X3)) | ((sK0 @ X2 @ X2) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f143])).
% 0.22/0.44 thf(f143,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X1)) => (sK0 @ Y0 @ X1))))))) | ((sK0 @ X2 @ X2) = $true)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f142])).
% 0.22/0.44 thf(f142,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X1)) => (sK0 @ Y0 @ X1))))))) | ($true = ((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ X2))) )),
% 0.22/0.44 inference(pi_clausification,[],[f141])).
% 0.22/0.44 thf(f141,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X1)) => (sK0 @ Y0 @ X1)))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f140])).
% 0.22/0.44 thf(f140,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f139])).
% 0.22/0.44 thf(f139,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true)),
% 0.22/0.44 inference(beta_eta_normalization,[],[f116])).
% 0.22/0.44 thf(f116,plain,(
% 0.22/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))) @ sK0))),
% 0.22/0.44 inference(definition_unfolding,[],[f106,f100,f102])).
% 0.22/0.44 thf(f100,plain,(
% 0.22/0.44 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f46])).
% 0.22/0.44 thf(f46,plain,(
% 0.22/0.44 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f45])).
% 0.22/0.44 thf(f45,plain,(
% 0.22/0.44 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X3) & (X0 @ X2 @ X1)) => (X0 @ X2 @ X3)))))),
% 0.22/0.44 inference(rectify,[],[f21])).
% 0.22/0.44 thf(f21,axiom,(
% 0.22/0.44 (mtransitive = (^[X6 : $i > $i > $o] : (! [X9,X8,X10] : (((X6 @ X9 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X8 @ X10)))))),
% 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 0.22/0.44 thf(f106,plain,(
% 0.22/0.44 ($true = (mtransitive @ sK0)) | ($true = (mreflexive @ sK0))),
% 0.22/0.44 inference(cnf_transformation,[],[f99])).
% 0.22/0.44 thf(f317,plain,(
% 0.22/0.44 spl1_14 | spl1_15),
% 0.22/0.44 inference(avatar_split_clause,[],[f157,f315,f312])).
% 0.22/0.44 thf(f157,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X2)) | ($true = (sK0 @ X2 @ X3)) | ($true = (sK0 @ X1 @ X1))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f156])).
% 0.22/0.44 thf(f156,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X1)) | ($true = ((sK0 @ X3 @ X2) => (sK0 @ X2 @ X3)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f155])).
% 0.22/0.44 thf(f155,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X1)) | ($true = ((^[Y0 : $i]: ((sK0 @ Y0 @ X2) => (sK0 @ X2 @ Y0))) @ X3))) )),
% 0.22/0.44 inference(pi_clausification,[],[f154])).
% 0.22/0.44 thf(f154,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X2) => (sK0 @ X2 @ Y0)))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f153])).
% 0.22/0.44 thf(f153,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X1)) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1))))) @ X2))) )),
% 0.22/0.44 inference(pi_clausification,[],[f152])).
% 0.22/0.44 thf(f152,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) = $true) | ($true = (sK0 @ X1 @ X1))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f151])).
% 0.22/0.44 thf(f151,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) = $true) | (((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ X1) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f150])).
% 0.22/0.44 thf(f150,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) = $true)),
% 0.22/0.44 inference(beta_eta_normalization,[],[f118])).
% 0.22/0.44 thf(f118,plain,(
% 0.22/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ sK0))),
% 0.22/0.44 inference(definition_unfolding,[],[f104,f111,f102])).
% 0.22/0.44 thf(f104,plain,(
% 0.22/0.44 ($true = (msymmetric @ sK0)) | ($true = (mreflexive @ sK0))),
% 0.22/0.44 inference(cnf_transformation,[],[f99])).
% 0.22/0.44 thf(f310,plain,(
% 0.22/0.44 spl1_13 | spl1_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f174,f247,f308])).
% 0.22/0.44 thf(f174,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((sK0 @ X1 @ X4) = $true) | ($false = (sK0 @ X5 @ X6)) | ($true = (sK0 @ X5 @ X3)) | ($false = (sK0 @ X2 @ X4)) | ((sK0 @ X6 @ X3) = $false) | ($false = (sK0 @ X2 @ X1))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f173])).
% 0.22/0.44 thf(f173,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((sK0 @ X1 @ X4) = $true) | ($false = (sK0 @ X2 @ X4)) | ($false = ((sK0 @ X5 @ X6) & (sK0 @ X6 @ X3))) | ($true = (sK0 @ X5 @ X3)) | ($false = (sK0 @ X2 @ X1))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f172])).
% 0.22/0.44 thf(f172,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (((sK0 @ X5 @ X6) & (sK0 @ X6 @ X3)) => (sK0 @ X5 @ X3))) | ($false = (sK0 @ X2 @ X4)) | ((sK0 @ X1 @ X4) = $true) | ($false = (sK0 @ X2 @ X1))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f171])).
% 0.22/0.44 thf(f171,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (sK0 @ X2 @ X4)) | ($false = (sK0 @ X2 @ X1)) | (((^[Y0 : $i]: (((sK0 @ X5 @ Y0) & (sK0 @ Y0 @ X3)) => (sK0 @ X5 @ X3))) @ X6) = $true) | ((sK0 @ X1 @ X4) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f170])).
% 0.22/0.44 thf(f170,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X5 @ Y0) & (sK0 @ Y0 @ X3)) => (sK0 @ X5 @ X3)))) = $true) | ((sK0 @ X1 @ X4) = $true) | ($false = (sK0 @ X2 @ X1)) | ($false = (sK0 @ X2 @ X4))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f169])).
% 0.22/0.44 thf(f169,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (sK0 @ X2 @ X4)) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X3)) => (sK0 @ Y0 @ X3))))) @ X5) = $true) | ($false = (sK0 @ X2 @ X1)) | ((sK0 @ X1 @ X4) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f168])).
% 0.22/0.44 thf(f168,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (sK0 @ X2 @ X4)) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X3)) => (sK0 @ Y0 @ X3))))))) | ($false = (sK0 @ X2 @ X1)) | ((sK0 @ X1 @ X4) = $true)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f167])).
% 0.22/0.44 thf(f167,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((sK0 @ X1 @ X4) = $true) | ($false = ((sK0 @ X2 @ X1) & (sK0 @ X2 @ X4))) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X3)) => (sK0 @ Y0 @ X3)))))))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f166])).
% 0.22/0.44 thf(f166,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (((sK0 @ X2 @ X1) & (sK0 @ X2 @ X4)) => (sK0 @ X1 @ X4))) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X3)) => (sK0 @ Y0 @ X3)))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f165])).
% 0.22/0.44 thf(f165,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X2 @ X1) & (sK0 @ X2 @ Y0)) => (sK0 @ X1 @ Y0))) @ X4)) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X3)) => (sK0 @ Y0 @ X3)))))))) )),
% 0.22/0.44 inference(pi_clausification,[],[f164])).
% 0.22/0.44 thf(f164,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X2 @ X1) & (sK0 @ X2 @ Y0)) => (sK0 @ X1 @ Y0)))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ X3)) => (sK0 @ Y0 @ X3)))))))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f163])).
% 0.22/0.44 thf(f163,plain,(
% 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0))))))) @ X3)) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X2 @ X1) & (sK0 @ X2 @ Y0)) => (sK0 @ X1 @ Y0)))) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f162])).
% 0.22/0.44 thf(f162,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X2 @ X1) & (sK0 @ X2 @ Y0)) => (sK0 @ X1 @ Y0)))) = $true)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f161])).
% 0.22/0.44 thf(f161,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X1) & (sK0 @ Y0 @ Y1)) => (sK0 @ X1 @ Y1))))) @ X2)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f160])).
% 0.22/0.44 thf(f160,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X1) & (sK0 @ Y0 @ Y1)) => (sK0 @ X1 @ Y1))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $true)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f159])).
% 0.22/0.44 thf(f159,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))) @ X1)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f158])).
% 0.22/0.44 thf(f158,plain,(
% 0.22/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $true)),
% 0.22/0.44 inference(beta_eta_normalization,[],[f115])).
% 0.22/0.44 thf(f115,plain,(
% 0.22/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) @ sK0))),
% 0.22/0.44 inference(definition_unfolding,[],[f107,f100,f101])).
% 0.22/0.44 thf(f107,plain,(
% 0.22/0.44 ($true = (mtransitive @ sK0)) | ($true = (meuclidean @ sK0))),
% 0.22/0.44 inference(cnf_transformation,[],[f99])).
% 0.22/0.44 thf(f306,plain,(
% 0.22/0.44 spl1_6 | spl1_5 | spl1_12 | spl1_10 | spl1_9),
% 0.22/0.44 inference(avatar_split_clause,[],[f206,f276,f281,f298,f259,f262])).
% 0.22/0.44 thf(f206,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK10 @ sK9) = $true) | ($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK6 @ X1) = $false) | ($true = (sK0 @ sK7 @ sK12))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f204])).
% 0.22/0.44 thf(f204,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK4)) | ($true = (sK0 @ sK7 @ sK12)) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f202])).
% 0.22/0.44 thf(f202,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK4)) | ($true = ((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5))) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f200])).
% 0.22/0.44 thf(f200,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK4)) | ($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5))) | ((sK0 @ sK6 @ X1) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f198])).
% 0.22/0.44 thf(f198,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ($true = ((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ sK11))) | ($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5))) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f196])).
% 0.22/0.44 thf(f196,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($false = (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ sK11)) => (sK0 @ sK4 @ sK11))) | ((sK0 @ sK6 @ X1) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f195])).
% 0.22/0.44 thf(f195,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5))) @ sK12)) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($false = (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ sK11)) => (sK0 @ sK4 @ sK11))) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(sigma_clausification,[],[f194])).
% 0.22/0.44 thf(f194,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK6 @ X1) = $false) | ($false = (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ sK11)) => (sK0 @ sK4 @ sK11)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f193])).
% 0.22/0.44 thf(f193,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ Y0)) => (sK0 @ sK4 @ Y0))) @ sK11)) | ((sK0 @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(sigma_clausification,[],[f192])).
% 0.22/0.44 thf(f192,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ Y0)) => (sK0 @ sK4 @ Y0)))) = $false) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f191])).
% 0.22/0.44 thf(f191,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((sK0 @ Y0 @ sK9) => (sK0 @ sK9 @ Y0))) @ sK10)) | ((sK0 @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ Y0)) => (sK0 @ sK4 @ Y0)))) = $false) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(sigma_clausification,[],[f190])).
% 0.22/0.44 thf(f190,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ sK9) => (sK0 @ sK9 @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ Y0)) => (sK0 @ sK4 @ Y0)))) = $false) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f189])).
% 0.22/0.44 thf(f189,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1))))) @ sK9)) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ Y0)) => (sK0 @ sK4 @ Y0)))) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false)) )),
% 0.22/0.44 inference(sigma_clausification,[],[f188])).
% 0.22/0.44 thf(f188,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((sK0 @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK8 @ sK4) & (sK0 @ sK8 @ Y0)) => (sK0 @ sK4 @ Y0)))) = $false)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f187])).
% 0.22/0.44 thf(f187,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((sK0 @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((sK0 @ sK3 @ sK3) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1))))) @ sK8) = $false)) )),
% 0.22/0.44 inference(sigma_clausification,[],[f186])).
% 0.22/0.44 thf(f186,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1))))))) | ((sK0 @ sK6 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f185])).
% 0.22/0.44 thf(f185,plain,(
% 0.22/0.44 ((?? @ $i @ (sK0 @ sK6)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ Y0) & (sK0 @ Y0 @ sK5)) => (sK0 @ sK7 @ sK5)))) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1)))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f184])).
% 0.22/0.44 thf(f184,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1))))))) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ sK5)) => (sK0 @ Y0 @ sK5))))) @ sK7)) | ((?? @ $i @ (sK0 @ sK6)) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true)),
% 0.22/0.44 inference(sigma_clausification,[],[f183])).
% 0.22/0.44 thf(f183,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ sK5)) => (sK0 @ Y0 @ sK5))))))) | ((?? @ $i @ (sK0 @ sK6)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((sK0 @ sK3 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1)))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f182])).
% 0.22/0.44 thf(f182,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1))))))) | (((^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))) @ sK6) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((sK0 @ sK3 @ sK3) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ sK5)) => (sK0 @ Y0 @ sK5)))))))),
% 0.22/0.44 inference(sigma_clausification,[],[f181])).
% 0.22/0.44 thf(f181,plain,(
% 0.22/0.44 ((sK0 @ sK3 @ sK3) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ sK5)) => (sK0 @ Y0 @ sK5))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1)))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f180])).
% 0.22/0.44 thf(f180,plain,(
% 0.22/0.44 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0))))))) @ sK5) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1)))))))),
% 0.22/0.44 inference(sigma_clausification,[],[f179])).
% 0.22/0.44 thf(f179,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) != $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK4 @ Y1))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((sK0 @ sK3 @ sK3) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0)))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f178])).
% 0.22/0.44 thf(f178,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) != $true) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))))) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))) @ sK4))),
% 0.22/0.44 inference(sigma_clausification,[],[f177])).
% 0.22/0.44 thf(f177,plain,(
% 0.22/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ((sK0 @ sK3 @ sK3) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0)))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f176])).
% 0.22/0.44 thf(f176,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ($false = ((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) != $true)),
% 0.22/0.44 inference(sigma_clausification,[],[f175])).
% 0.22/0.44 thf(f175,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) != $true) | ($true != (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK0 @ Y0))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1)))))) != $true)),
% 0.22/0.44 inference(beta_eta_normalization,[],[f112])).
% 0.22/0.44 thf(f112,plain,(
% 0.22/0.44 ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ sK0))),
% 0.22/0.44 inference(definition_unfolding,[],[f110,f103,f100,f111,f101,f102])).
% 0.22/0.44 thf(f110,plain,(
% 0.22/0.44 ($true != (mserial @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (msymmetric @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mreflexive @ sK0))),
% 0.22/0.44 inference(cnf_transformation,[],[f99])).
% 0.22/0.44 thf(f305,plain,(
% 0.22/0.44 spl1_5 | spl1_6 | spl1_9 | spl1_12 | spl1_3),
% 0.22/0.44 inference(avatar_split_clause,[],[f205,f251,f298,f276,f262,f259])).
% 0.22/0.44 thf(f205,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK8 @ sK4)) | ($true = (sK0 @ sK7 @ sK12)) | ((sK0 @ sK9 @ sK10) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f204])).
% 0.22/0.44 thf(f304,plain,(
% 0.22/0.44 spl1_12 | spl1_5 | spl1_10 | spl1_6 | spl1_8),
% 0.22/0.44 inference(avatar_split_clause,[],[f208,f271,f262,f281,f259,f298])).
% 0.22/0.44 thf(f208,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK6 @ X1) = $false) | ($true = (sK0 @ sK12 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f203])).
% 0.22/0.44 thf(f203,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($true = (sK0 @ sK12 @ sK5)) | ($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f202])).
% 0.22/0.44 thf(f303,plain,(
% 0.22/0.44 spl1_5 | spl1_8 | spl1_3 | spl1_6 | spl1_12),
% 0.22/0.44 inference(avatar_split_clause,[],[f207,f298,f262,f251,f271,f259])).
% 0.22/0.44 thf(f207,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK9 @ sK10) = $false) | ($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK6 @ X1) = $false) | ($true = (sK0 @ sK12 @ sK5))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f203])).
% 0.22/0.44 thf(f302,plain,(
% 0.22/0.44 spl1_6 | spl1_5 | spl1_4 | spl1_12 | spl1_10),
% 0.22/0.44 inference(avatar_split_clause,[],[f210,f281,f298,f255,f259,f262])).
% 0.22/0.44 thf(f210,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK7 @ sK5) = $false) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK10 @ sK9) = $true)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f201])).
% 0.22/0.44 thf(f201,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK7 @ sK5) = $false) | ((sK0 @ sK6 @ X1) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f200])).
% 0.22/0.44 thf(f301,plain,(
% 0.22/0.44 spl1_5 | spl1_6 | spl1_4 | spl1_12 | spl1_3),
% 0.22/0.44 inference(avatar_split_clause,[],[f209,f251,f298,f255,f262,f259])).
% 0.22/0.44 thf(f209,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK7 @ sK5) = $false) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK8 @ sK4))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f201])).
% 0.22/0.44 thf(f296,plain,(
% 0.22/0.44 spl1_11 | spl1_9 | spl1_5 | spl1_10 | spl1_6),
% 0.22/0.44 inference(avatar_split_clause,[],[f216,f262,f281,f259,f276,f288])).
% 0.22/0.44 thf(f216,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK8 @ sK11)) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK6 @ X1) = $false) | ($true = (sK0 @ sK7 @ sK12))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f214])).
% 0.22/0.44 thf(f214,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK8 @ sK11)) | ($true = (sK0 @ sK7 @ sK12)) | ((sK0 @ sK6 @ X1) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10)))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f212])).
% 0.22/0.44 thf(f212,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = ((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5))) | ($true = (sK0 @ sK8 @ sK11)) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f199])).
% 0.22/0.44 thf(f199,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5))) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($true = (sK0 @ sK8 @ sK11))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f198])).
% 0.22/0.44 thf(f295,plain,(
% 0.22/0.44 spl1_3 | spl1_11 | spl1_5 | spl1_6 | spl1_9),
% 0.22/0.44 inference(avatar_split_clause,[],[f215,f276,f262,f259,f288,f251])).
% 0.22/0.44 thf(f215,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK6 @ X1) = $false) | ($true = (sK0 @ sK8 @ sK11)) | ($true = (sK0 @ sK7 @ sK12)) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f214])).
% 0.22/0.44 thf(f294,plain,(
% 0.22/0.44 spl1_10 | spl1_6 | spl1_11 | spl1_5 | spl1_8),
% 0.22/0.44 inference(avatar_split_clause,[],[f218,f271,f259,f288,f262,f281])).
% 0.22/0.44 thf(f218,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK11)) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK12 @ sK5)) | ((sK0 @ sK10 @ sK9) = $true)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f213])).
% 0.22/0.44 thf(f213,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK11)) | ((sK0 @ sK6 @ X1) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($true = (sK0 @ sK12 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f212])).
% 0.22/0.44 thf(f293,plain,(
% 0.22/0.44 spl1_8 | spl1_11 | spl1_3 | spl1_6 | spl1_5),
% 0.22/0.44 inference(avatar_split_clause,[],[f217,f259,f262,f251,f288,f271])).
% 0.22/0.44 thf(f217,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK8 @ sK11)) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK9 @ sK10) = $false) | ($true = (sK0 @ sK12 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f213])).
% 0.22/0.44 thf(f292,plain,(
% 0.22/0.44 spl1_5 | spl1_10 | spl1_4 | spl1_6 | spl1_11),
% 0.22/0.44 inference(avatar_split_clause,[],[f220,f288,f262,f255,f281,f259])).
% 0.22/0.44 thf(f220,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK7 @ sK5) = $false) | ($true = (sK0 @ sK8 @ sK11)) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f211])).
% 0.22/0.44 thf(f211,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK7 @ sK5) = $false) | ($true = (sK0 @ sK8 @ sK11)) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f199])).
% 0.22/0.44 thf(f291,plain,(
% 0.22/0.44 spl1_5 | spl1_3 | spl1_6 | spl1_4 | spl1_11),
% 0.22/0.44 inference(avatar_split_clause,[],[f219,f288,f255,f262,f251,f259])).
% 0.22/0.44 thf(f219,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK7 @ sK5) = $false) | ($true = (sK0 @ sK8 @ sK11)) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f211])).
% 0.22/0.44 thf(f286,plain,(
% 0.22/0.44 spl1_5 | spl1_7 | spl1_9 | spl1_10 | spl1_6),
% 0.22/0.44 inference(avatar_split_clause,[],[f226,f262,f281,f276,f266,f259])).
% 0.22/0.44 thf(f226,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($false = (sK0 @ sK4 @ sK11)) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK6 @ X1) = $false) | ($true = (sK0 @ sK7 @ sK12))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f224])).
% 0.22/0.44 thf(f224,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK10 @ sK9) = $true) | ($false = (sK0 @ sK4 @ sK11)) | ((sK0 @ sK6 @ X1) = $false) | ($true = ((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5))) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f222])).
% 0.22/0.44 thf(f222,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($false = (sK0 @ sK4 @ sK11)) | ((sK0 @ sK6 @ X1) = $false) | ($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5))) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f197])).
% 0.22/0.44 thf(f197,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($false = ((sK0 @ sK10 @ sK9) => (sK0 @ sK9 @ sK10))) | ($false = (sK0 @ sK4 @ sK11)) | ($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5)))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f196])).
% 0.22/0.44 thf(f285,plain,(
% 0.22/0.44 spl1_5 | spl1_10 | spl1_6 | spl1_7 | spl1_8),
% 0.22/0.44 inference(avatar_split_clause,[],[f225,f271,f266,f262,f281,f259])).
% 0.22/0.44 thf(f225,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (($true = (sK0 @ sK12 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK6 @ X1) = $false) | ($false = (sK0 @ sK4 @ sK11))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f224])).
% 0.22/0.44 thf(f284,plain,(
% 0.22/0.44 spl1_7 | spl1_10 | spl1_5 | spl1_4 | spl1_6),
% 0.22/0.44 inference(avatar_split_clause,[],[f223,f262,f255,f259,f281,f266])).
% 0.22/0.44 thf(f223,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK10 @ sK9) = $true) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK7 @ sK5) = $false) | ($false = (sK0 @ sK4 @ sK11))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f222])).
% 0.22/0.44 thf(f279,plain,(
% 0.22/0.44 spl1_3 | spl1_9 | spl1_7 | spl1_6 | spl1_5),
% 0.22/0.44 inference(avatar_split_clause,[],[f230,f259,f262,f266,f276,f251])).
% 0.22/0.44 thf(f230,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($false = (sK0 @ sK4 @ sK11)) | ((sK0 @ sK9 @ sK10) = $false) | ($true = (sK0 @ sK7 @ sK12)) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f228])).
% 0.22/0.44 thf(f228,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK6 @ X1) = $false) | ($true = ((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5))) | ($false = (sK0 @ sK4 @ sK11))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f221])).
% 0.22/0.44 thf(f221,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ($false = (sK0 @ sK4 @ sK11)) | ($false = (((sK0 @ sK7 @ sK12) & (sK0 @ sK12 @ sK5)) => (sK0 @ sK7 @ sK5))) | ((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK3 @ sK3) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f197])).
% 0.22/0.44 thf(f274,plain,(
% 0.22/0.44 spl1_3 | spl1_6 | spl1_5 | spl1_8 | spl1_7),
% 0.22/0.44 inference(avatar_split_clause,[],[f229,f266,f271,f259,f262,f251])).
% 0.22/0.44 thf(f229,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK12 @ sK5)) | ($false = (sK0 @ sK4 @ sK11)) | ((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f228])).
% 0.22/0.44 thf(f269,plain,(
% 0.22/0.44 spl1_3 | spl1_4 | spl1_5 | spl1_6 | spl1_7),
% 0.22/0.44 inference(avatar_split_clause,[],[f227,f266,f262,f259,f255,f251])).
% 0.22/0.44 thf(f227,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK9 @ sK10) = $false) | ((sK0 @ sK7 @ sK5) = $false) | ($false = (sK0 @ sK4 @ sK11)) | ((sK0 @ sK6 @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f221])).
% 0.22/0.44 % SZS output end Proof for theBenchmark
% 0.22/0.44 % (31076)------------------------------
% 0.22/0.44 % (31076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (31076)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (31076)Memory used [KB]: 6012
% 0.22/0.44 % (31076)Time elapsed: 0.062 s
% 0.22/0.44 % (31076)Instructions burned: 77 (million)
% 0.22/0.44 % (31076)------------------------------
% 0.22/0.44 % (31076)------------------------------
% 0.22/0.44 % (31070)Success in time 0.082 s
%------------------------------------------------------------------------------