%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO544^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 : Wed Feb 25 09:54:30 AM UTC 2026
% Result : Theorem 8.86s 2.45s
% Output : Refutation 8.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO544^1 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 14:33:46 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : SYO544^1 : TPTP v9.2.1. Released v5.2.0.
% 0.19/0.46 % Domain : Syntactic
% 0.19/0.46 % Problem : Case operator from ($o>$o) to $i defined from choice on $i
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English : A case operator from ($o>$o) (with 4 elements) to $i is defined
% 0.19/0.46 % using a choice operator on $i. Check all 4 equations.
% 0.19/0.46
% 0.19/0.46 % Refs : [Bro11] Brown E. (2011), Email to Geoff Sutcliffe
% 0.19/0.46 % Source : [Bro11]
% 0.19/0.46 % Names : CHOICE21 [Bro11]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.33 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.69 v8.1.0, 0.82 v7.5.0, 0.57 v7.4.0, 0.78 v7.2.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.67 v6.3.0, 0.80 v6.2.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.80 v5.2.0
% 0.19/0.46 % Syntax : Number of formulae : 17 ( 9 unt; 6 typ; 1 def)
% 0.19/0.46 % Number of atoms : 52 ( 21 equ; 1 cnn)
% 0.19/0.46 % Maximal formula atoms : 4 ( 4 avg)
% 0.19/0.46 % Number of connectives : 44 ( 1 ~; 3 |; 7 &; 32 @)
% 0.19/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 8 ( 2 avg)
% 0.19/0.46 % Number of types : 2 ( 0 usr)
% 0.19/0.46 % Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 10 ( 6 usr; 3 con; 0-5 aty)
% 0.19/0.46 % Number of variables : 15 ( 9 ^; 5 !; 1 ?; 15 :)
% 0.19/0.46 % SPC : TH0_THM_EQU_NAR
% 0.19/0.46
% 0.19/0.46 % Comments :
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(eps,type,
% 0.19/0.46 eps: ( $i > $o ) > $i ).
% 0.19/0.46
% 0.19/0.46 thf(choiceax,axiom,
% 0.19/0.46 ! [P: $i > $o] :
% 0.19/0.46 ( ? [X: $i] : ( P @ X )
% 0.19/0.46 => ( P @ ( eps @ P ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(caseoo,type,
% 0.19/0.46 case: ( $o > $o ) > $i > $i > $i > $i > $i ).
% 0.19/0.46
% 0.19/0.46 thf(caseood,definition,
% 0.19/0.46 ( case
% 0.19/0.46 = ( ^ [B: $o > $o,X: $i,Y: $i,U: $i,V: $i] :
% 0.19/0.46 ( eps
% 0.19/0.46 @ ^ [Z: $i] :
% 0.19/0.46 ( ( ( B
% 0.19/0.46 = ( ^ [A: $o] : $false ) )
% 0.19/0.46 & ( Z = X ) )
% 0.19/0.46 | ( ( B = (~) )
% 0.19/0.46 & ( Z = Y ) )
% 0.19/0.46 | ( ( B
% 0.19/0.46 = ( ^ [A: $o] : A ) )
% 0.19/0.46 & ( Z = U ) )
% 0.19/0.46 | ( ( B
% 0.19/0.46 = ( ^ [A: $o] : $true ) )
% 0.19/0.46 & ( Z = V ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(f0,type,
% 0.19/0.46 f0: $o > $o ).
% 0.19/0.46
% 0.19/0.46 thf(f0f,axiom,
% 0.19/0.46 ( ( f0 @ $false )
% 0.19/0.46 = $false ) ).
% 0.19/0.46
% 0.19/0.46 thf(f0t,axiom,
% 0.19/0.46 ( ( f0 @ $true )
% 0.19/0.46 = $false ) ).
% 0.19/0.46
% 0.19/0.46 thf(f1,type,
% 0.19/0.46 f1: $o > $o ).
% 0.19/0.46
% 0.19/0.46 thf(f1f,axiom,
% 0.19/0.46 ( ( f1 @ $false )
% 0.19/0.46 = $true ) ).
% 0.19/0.46
% 0.19/0.46 thf(f1t,axiom,
% 0.19/0.46 ( ( f1 @ $true )
% 0.19/0.46 = $false ) ).
% 0.19/0.46
% 0.19/0.46 thf(f2,type,
% 0.19/0.46 f2: $o > $o ).
% 0.19/0.46
% 0.19/0.46 thf(f2f,axiom,
% 0.19/0.46 ( ( f2 @ $false )
% 0.19/0.46 = $false ) ).
% 0.19/0.46
% 0.19/0.46 thf(f2t,axiom,
% 0.19/0.46 ( ( f2 @ $true )
% 0.19/0.46 = $true ) ).
% 0.19/0.46
% 0.19/0.46 thf(f3,type,
% 0.19/0.46 f3: $o > $o ).
% 0.19/0.46
% 0.19/0.46 thf(f3f,axiom,
% 0.19/0.46 ( ( f3 @ $false )
% 0.19/0.46 = $true ) ).
% 0.19/0.46
% 0.19/0.46 thf(f3t,axiom,
% 0.19/0.46 ( ( f3 @ $true )
% 0.19/0.46 = $true ) ).
% 0.19/0.46
% 0.19/0.46 thf(conj,conjecture,
% 0.19/0.46 ! [X: $i,Y: $i,U: $i,V: $i] :
% 0.19/0.46 ( ( ( case @ f0 @ X @ Y @ U @ V )
% 0.19/0.46 = X )
% 0.19/0.46 & ( ( case @ f1 @ X @ Y @ U @ V )
% 0.19/0.46 = Y )
% 0.19/0.46 & ( ( case @ f2 @ X @ Y @ U @ V )
% 0.19/0.46 = U )
% 0.19/0.46 & ( ( case @ f3 @ X @ Y @ U @ V )
% 0.19/0.46 = V ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.45/1.28 ---- Embedded in THF ---
% 1.45/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.28 %%% Generated on Tue Feb 24 14:33:47 EST 2026
% 1.45/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.28 %%% Logic specification used:
% 1.45/1.28 %%% thf(spec, logic, $$dhol).
% 1.45/1.28
% 1.45/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2DTF22374.p
% 1.45/1.28 thf(eps, type, eps: (($i > $o) > $i)).
% 1.45/1.28 thf(choiceax, axiom, (! [P:($i > $o)]: (((? [X:$i]: ((P @ X))) => (P @ (eps @ P)))))).
% 1.45/1.28 thf(caseoo, type, case: (($o > $o) > ($i > ($i > ($i > ($i > $i)))))).
% 1.45/1.28 thf(caseood, definition, (case = (^ [B:($o > $o),X:$i,Y:$i,U:$i,V:$i]: ((eps @ (^ [Z:$i]: ((((B = (^ [A:$o]: ($false))) & (Z = X)) | (((B = (~)) & (Z = Y)) | (((B = (^ [A:$o]: (A))) & (Z = U)) | ((B = (^ [A:$o]: ($true))) & (Z = V)))))))))))).
% 1.45/1.28 thf(f0, type, f0: ($o > $o)).
% 1.45/1.28 thf(f0f, axiom, ((f0 @ $false) = $false)).
% 1.45/1.28 thf(f0t, axiom, ((f0 @ $true) = $false)).
% 1.45/1.28 thf(f1, type, f1: ($o > $o)).
% 1.45/1.28 thf(f1f, axiom, ((f1 @ $false) = $true)).
% 1.45/1.28 thf(f1t, axiom, ((f1 @ $true) = $false)).
% 1.45/1.28 thf(f2, type, f2: ($o > $o)).
% 1.45/1.28 thf(f2f, axiom, ((f2 @ $false) = $false)).
% 1.45/1.28 thf(f2t, axiom, ((f2 @ $true) = $true)).
% 1.45/1.28 thf(f3, type, f3: ($o > $o)).
% 1.45/1.28 thf(f3f, axiom, ((f3 @ $false) = $true)).
% 1.45/1.28 thf(f3t, axiom, ((f3 @ $true) = $true)).
% 1.45/1.28 thf(conj, conjecture, (! [X:$i,Y:$i,U:$i,V:$i]: ((((((((case @ f0) @ X) @ Y) @ U) @ V) = X) & (((((((case @ f1) @ X) @ Y) @ U) @ V) = Y) & (((((((case @ f2) @ X) @ Y) @ U) @ V) = U) & ((((((case @ f3) @ X) @ Y) @ U) @ V) = V))))))).
% 1.45/1.28 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2DTF22374.p
% 1.45/1.28 ------------------------
% 1.45/1.29 ---- Cleaned THF ---
% 1.45/1.29 thf(eps,type,
% 1.45/1.29 eps: ( $i > $o ) > $i ).
% 1.45/1.29
% 1.45/1.29 thf(choiceax,axiom,
% 1.45/1.29 ! [P: $i > $o] :
% 1.45/1.29 ( ? [X: $i] : ( P @ X )
% 1.45/1.29 => ( P @ ( eps @ P ) ) ) ).
% 1.45/1.29
% 1.45/1.29 thf(caseoo,type,
% 1.45/1.29 case: ( $o > $o ) > $i > $i > $i > $i > $i ).
% 1.45/1.29
% 1.45/1.29 thf(caseood,definition,
% 1.45/1.29 ( case
% 1.45/1.29 = ( ^ [B: $o > $o,X: $i,Y: $i,U: $i,V: $i] :
% 1.45/1.29 ( eps
% 1.45/1.29 @ ^ [Z: $i] :
% 1.45/1.29 ( ( ( B
% 1.45/1.29 = ( ^ [A: $o] : $false ) )
% 1.45/1.29 & ( Z = X ) )
% 1.45/1.29 | ( ( B = (~) )
% 1.45/1.29 & ( Z = Y ) )
% 1.45/1.29 | ( ( B
% 1.45/1.29 = ( ^ [A: $o] : A ) )
% 1.45/1.29 & ( Z = U ) )
% 1.45/1.29 | ( ( B
% 1.45/1.29 = ( ^ [A: $o] : $true ) )
% 1.45/1.29 & ( Z = V ) ) ) ) ) ) ).
% 1.45/1.29
% 1.45/1.29 thf(f0,type,
% 1.45/1.29 f0: $o > $o ).
% 1.45/1.29
% 1.45/1.29 thf(f0f,axiom,
% 1.45/1.29 ( ( f0 @ $false )
% 1.45/1.29 = $false ) ).
% 1.45/1.29
% 1.45/1.29 thf(f0t,axiom,
% 1.45/1.29 ( ( f0 @ $true )
% 1.45/1.29 = $false ) ).
% 1.45/1.29
% 1.45/1.29 thf(f1,type,
% 1.45/1.29 f1: $o > $o ).
% 1.45/1.29
% 1.45/1.29 thf(f1f,axiom,
% 1.45/1.29 ( ( f1 @ $false )
% 1.45/1.29 = $true ) ).
% 1.45/1.29
% 1.45/1.29 thf(f1t,axiom,
% 1.45/1.29 ( ( f1 @ $true )
% 1.45/1.29 = $false ) ).
% 1.45/1.29
% 1.45/1.29 thf(f2,type,
% 1.45/1.29 f2: $o > $o ).
% 1.45/1.29
% 1.45/1.29 thf(f2f,axiom,
% 1.45/1.29 ( ( f2 @ $false )
% 1.45/1.29 = $false ) ).
% 1.45/1.29
% 1.45/1.29 thf(f2t,axiom,
% 1.45/1.29 ( ( f2 @ $true )
% 1.45/1.29 = $true ) ).
% 1.45/1.29
% 1.45/1.29 thf(f3,type,
% 1.45/1.29 f3: $o > $o ).
% 1.45/1.29
% 1.45/1.29 thf(f3f,axiom,
% 1.45/1.29 ( ( f3 @ $false )
% 1.45/1.29 = $true ) ).
% 1.45/1.29
% 1.45/1.29 thf(f3t,axiom,
% 1.45/1.29 ( ( f3 @ $true )
% 1.45/1.29 = $true ) ).
% 1.45/1.29
% 1.45/1.29 thf(conj,conjecture,
% 1.45/1.29 ! [X: $i,Y: $i,U: $i,V: $i] :
% 1.45/1.29 ( ( ( case @ f0 @ X @ Y @ U @ V )
% 1.45/1.29 = X )
% 1.45/1.29 & ( ( case @ f1 @ X @ Y @ U @ V )
% 1.45/1.29 = Y )
% 1.45/1.29 & ( ( case @ f2 @ X @ Y @ U @ V )
% 1.45/1.29 = U )
% 1.45/1.29 & ( ( case @ f3 @ X @ Y @ U @ V )
% 1.45/1.29 = V ) ) ).
% 1.45/1.29 ------------------------
% 1.63/1.31 % (22533)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 DTF2THF_22374 for (2999ds/27Mi)
% 1.63/1.31 % (22531)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/183Mi)
% 1.63/1.31 % (22533)Instruction limit reached!
% 1.63/1.31 % (22533)------------------------------
% 1.63/1.31 % (22533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (22533)Termination reason: Unknown
% 1.63/1.31 % (22533)Termination phase: Saturation
% 1.63/1.31
% 1.63/1.31 % (22533)Memory used [KB]: 5500
% 1.63/1.31 % (22533)Time elapsed: 0.009 s
% 1.63/1.31 % (22533)Instructions burned: 29 (million)
% 1.63/1.31 % (22533)------------------------------
% 1.63/1.31 % (22533)------------------------------
% 1.63/1.31 % (22532)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 DTF2THF_22374 for (2999ds/4Mi)
% 1.63/1.31 % (22534)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/2Mi)
% 1.63/1.31 % (22535)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/2Mi)
% 1.63/1.31 % (22536)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/275Mi)
% 1.63/1.31 % (22537)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/18Mi)
% 1.63/1.31 % (22534)Instruction limit reached!
% 1.63/1.31 % (22534)------------------------------
% 1.63/1.31 % (22534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (22534)Termination reason: Unknown
% 1.63/1.31 % (22534)Termination phase: Preprocessing 1
% 1.63/1.31
% 1.63/1.31 % (22534)Memory used [KB]: 895
% 1.63/1.31 % (22534)Time elapsed: 0.003 s
% 1.63/1.31 % (22534)Instructions burned: 2 (million)
% 1.63/1.31 % (22534)------------------------------
% 1.63/1.31 % (22534)------------------------------
% 1.63/1.31 % (22535)Instruction limit reached!
% 1.63/1.31 % (22535)------------------------------
% 1.63/1.31 % (22535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (22535)Termination reason: Unknown
% 1.63/1.31 % (22535)Termination phase: Property scanning
% 1.63/1.31
% 1.63/1.31 % (22535)Memory used [KB]: 1023
% 1.63/1.31 % (22535)Time elapsed: 0.003 s
% 1.63/1.31 % (22535)Instructions burned: 2 (million)
% 1.63/1.31 % (22535)------------------------------
% 1.63/1.31 % (22535)------------------------------
% 1.63/1.32 % (22532)Instruction limit reached!
% 1.63/1.32 % (22532)------------------------------
% 1.63/1.32 % (22532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (22532)Termination reason: Unknown
% 1.63/1.32 % (22532)Termination phase: Property scanning
% 1.63/1.32
% 1.63/1.32 % (22532)Memory used [KB]: 1023
% 1.63/1.32 % (22532)Time elapsed: 0.004 s
% 1.63/1.32 % (22532)Instructions burned: 4 (million)
% 1.63/1.32 % (22532)------------------------------
% 1.63/1.32 % (22532)------------------------------
% 1.63/1.32 % (22536)Refutation not found, incomplete strategy
% 1.63/1.32 % (22536)------------------------------
% 1.63/1.32 % (22536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (22536)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.32
% 1.63/1.32
% 1.63/1.32 % (22536)Memory used [KB]: 5500
% 1.63/1.32 % (22536)Time elapsed: 0.004 s
% 1.63/1.32 % (22536)Instructions burned: 3 (million)
% 1.63/1.32 % (22536)------------------------------
% 1.63/1.32 % (22536)------------------------------
% 1.63/1.32 % (22538)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/3Mi)
% 1.63/1.32 % (22538)Instruction limit reached!
% 1.63/1.32 % (22538)------------------------------
% 1.63/1.32 % (22538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (22538)Termination reason: Unknown
% 1.63/1.32 % (22538)Termination phase: Saturation
% 1.63/1.32
% 1.63/1.32 % (22538)Memory used [KB]: 1023
% 1.63/1.32 % (22538)Time elapsed: 0.002 s
% 1.63/1.32 % (22538)Instructions burned: 4 (million)
% 1.63/1.32 % (22538)------------------------------
% 1.63/1.32 % (22538)------------------------------
% 1.63/1.32 % (22537)Instruction limit reached!
% 1.63/1.32 % (22537)------------------------------
% 1.63/1.32 % (22537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (22537)Termination reason: Unknown
% 1.63/1.32 % (22537)Termination phase: Saturation
% 1.63/1.32
% 1.63/1.32 % (22537)Memory used [KB]: 5628
% 1.63/1.32 % (22537)Time elapsed: 0.013 s
% 1.63/1.32 % (22537)Instructions burned: 18 (million)
% 1.63/1.32 % (22537)------------------------------
% 1.63/1.32 % (22537)------------------------------
% 1.63/1.33 % (22541)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/3Mi)
% 1.63/1.33 % (22539)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 DTF2THF_22374 for (2999ds/37Mi)
% 1.63/1.33 % (22540)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 DTF2THF_22374 for (2999ds/15Mi)
% 1.63/1.33 % (22541)Instruction limit reached!
% 1.63/1.33 % (22541)------------------------------
% 1.63/1.33 % (22541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (22541)Termination reason: Unknown
% 1.63/1.33 % (22541)Termination phase: Property scanning
% 1.63/1.33
% 1.63/1.33 % (22541)Memory used [KB]: 1023
% 1.63/1.33 % (22541)Time elapsed: 0.003 s
% 1.63/1.33 % (22541)Instructions burned: 3 (million)
% 1.63/1.33 % (22541)------------------------------
% 1.63/1.33 % (22541)------------------------------
% 1.63/1.33 % (22543)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/7Mi)
% 1.63/1.33 % (22542)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 DTF2THF_22374 for (2999ds/1041Mi)
% 1.63/1.34 % (22543)Instruction limit reached!
% 1.63/1.34 % (22543)------------------------------
% 1.63/1.34 % (22543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (22543)Termination reason: Unknown
% 1.63/1.34 % (22543)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (22543)Memory used [KB]: 1023
% 1.63/1.34 % (22543)Time elapsed: 0.003 s
% 1.63/1.34 % (22543)Instructions burned: 7 (million)
% 1.63/1.34 % (22543)------------------------------
% 1.63/1.34 % (22543)------------------------------
% 1.63/1.34 % (22540)Refutation not found, incomplete strategy
% 1.63/1.34 % (22540)------------------------------
% 1.63/1.34 % (22540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (22540)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.34
% 1.63/1.34
% 1.63/1.34 % (22540)Memory used [KB]: 5628
% 1.63/1.34 % (22540)Time elapsed: 0.006 s
% 1.63/1.34 % (22540)Instructions burned: 7 (million)
% 1.63/1.34 % (22540)------------------------------
% 1.63/1.34 % (22540)------------------------------
% 1.63/1.34 % (22544)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/16Mi)
% 1.63/1.34 % (22546)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 DTF2THF_22374 for (2999ds/3Mi)
% 1.63/1.35 % (22545)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 DTF2THF_22374 for (2999ds/3Mi)
% 1.63/1.35 % (22546)Instruction limit reached!
% 1.63/1.35 % (22546)------------------------------
% 1.63/1.35 % (22546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (22546)Termination reason: Unknown
% 1.63/1.35 % (22546)Termination phase: Property scanning
% 1.63/1.35
% 1.63/1.35 % (22546)Memory used [KB]: 1023
% 1.63/1.35 % (22546)Time elapsed: 0.002 s
% 1.63/1.35 % (22546)Instructions burned: 4 (million)
% 1.63/1.35 % (22546)------------------------------
% 1.63/1.35 % (22546)------------------------------
% 1.63/1.35 % (22545)Instruction limit reached!
% 1.63/1.35 % (22545)------------------------------
% 1.63/1.35 % (22545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (22545)Termination reason: Unknown
% 1.63/1.35 % (22545)Termination phase: Function definition elimination
% 1.63/1.35
% 1.63/1.35 % (22545)Memory used [KB]: 1023
% 1.63/1.35 % (22545)Time elapsed: 0.002 s
% 1.63/1.35 % (22545)Instructions burned: 3 (million)
% 1.63/1.35 % (22545)------------------------------
% 1.63/1.35 % (22545)------------------------------
% 1.63/1.35 % (22544)Instruction limit reached!
% 1.63/1.35 % (22544)------------------------------
% 1.63/1.35 % (22544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (22544)Termination reason: Unknown
% 1.63/1.35 % (22544)Termination phase: Saturation
% 1.63/1.35
% 1.63/1.35 % (22544)Memory used [KB]: 5884
% 1.63/1.35 % (22544)Time elapsed: 0.008 s
% 1.63/1.35 % (22544)Instructions burned: 17 (million)
% 1.63/1.35 % (22544)------------------------------
% 1.63/1.35 % (22544)------------------------------
% 1.63/1.35 % (22539)Instruction limit reached!
% 1.63/1.35 % (22539)------------------------------
% 1.63/1.35 % (22539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (22539)Termination reason: Unknown
% 1.63/1.35 % (22539)Termination phase: Saturation
% 1.63/1.35
% 1.63/1.35 % (22539)Memory used [KB]: 5756
% 1.63/1.35 % (22539)Time elapsed: 0.022 s
% 1.63/1.35 % (22539)Instructions burned: 38 (million)
% 1.63/1.35 % (22539)------------------------------
% 1.63/1.35 % (22539)------------------------------
% 1.63/1.35 % (22547)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/7Mi)
% 1.63/1.35 % (22548)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/3Mi)
% 1.63/1.36 % (22548)Instruction limit reached!
% 1.63/1.36 % (22548)------------------------------
% 1.63/1.36 % (22548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (22548)Termination reason: Unknown
% 1.63/1.36 % (22548)Termination phase: Property scanning
% 1.63/1.36
% 1.63/1.36 % (22548)Memory used [KB]: 1023
% 1.63/1.36 % (22548)Time elapsed: 0.002 s
% 1.63/1.36 % (22548)Instructions burned: 5 (million)
% 1.63/1.36 % (22548)------------------------------
% 1.63/1.36 % (22548)------------------------------
% 1.63/1.36 % (22549)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/4Mi)
% 1.63/1.36 % (22549)Instruction limit reached!
% 1.63/1.36 % (22549)------------------------------
% 1.63/1.36 % (22549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (22549)Termination reason: Unknown
% 1.63/1.36 % (22549)Termination phase: Saturation
% 1.63/1.36
% 1.63/1.36 % (22549)Memory used [KB]: 5500
% 1.63/1.36 % (22549)Time elapsed: 0.003 s
% 1.63/1.36 % (22549)Instructions burned: 4 (million)
% 1.63/1.36 % (22549)------------------------------
% 1.63/1.36 % (22549)------------------------------
% 1.63/1.36 % (22550)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/18Mi)
% 1.63/1.36 % (22547)Instruction limit reached!
% 1.63/1.36 % (22547)------------------------------
% 1.63/1.36 % (22547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (22547)Termination reason: Unknown
% 1.63/1.36 % (22547)Termination phase: Saturation
% 1.63/1.36
% 1.63/1.36 % (22547)Memory used [KB]: 5500
% 1.63/1.36 % (22547)Time elapsed: 0.006 s
% 1.63/1.36 % (22547)Instructions burned: 7 (million)
% 1.63/1.36 % (22547)------------------------------
% 1.63/1.36 % (22547)------------------------------
% 1.63/1.36 % (22542)Refutation not found, incomplete strategy
% 1.63/1.36 % (22542)------------------------------
% 1.63/1.36 % (22542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (22542)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.36
% 1.63/1.36
% 1.63/1.36 % (22542)Memory used [KB]: 5756
% 1.63/1.36 % (22542)Time elapsed: 0.026 s
% 1.63/1.36 % (22542)Instructions burned: 41 (million)
% 1.63/1.36 % (22542)------------------------------
% 1.63/1.36 % (22542)------------------------------
% 1.63/1.36 % (22550)Instruction limit reached!
% 1.63/1.36 % (22550)------------------------------
% 1.63/1.36 % (22550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (22550)Termination reason: Unknown
% 1.63/1.36 % (22550)Termination phase: Saturation
% 1.63/1.36
% 1.63/1.36 % (22550)Memory used [KB]: 5628
% 1.63/1.36 % (22550)Time elapsed: 0.008 s
% 1.63/1.36 % (22550)Instructions burned: 19 (million)
% 1.63/1.36 % (22550)------------------------------
% 1.63/1.36 % (22550)------------------------------
% 1.63/1.36 % (22552)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/6Mi)
% 1.63/1.37 % (22552)Instruction limit reached!
% 1.63/1.37 % (22552)------------------------------
% 1.63/1.37 % (22552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (22552)Termination reason: Unknown
% 1.63/1.37 % (22552)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (22552)Memory used [KB]: 5500
% 1.63/1.37 % (22552)Time elapsed: 0.003 s
% 1.63/1.37 % (22552)Instructions burned: 7 (million)
% 1.63/1.37 % (22552)------------------------------
% 1.63/1.37 % (22552)------------------------------
% 1.63/1.37 % (22553)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/902Mi)
% 1.63/1.37 % (22553)Refutation not found, incomplete strategy
% 1.63/1.37 % (22553)------------------------------
% 1.63/1.37 % (22553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (22553)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.37
% 1.63/1.37
% 1.63/1.37 % (22553)Memory used [KB]: 5500
% 1.63/1.37 % (22553)Time elapsed: 0.003 s
% 1.63/1.37 % (22553)Instructions burned: 2 (million)
% 1.63/1.37 % (22553)------------------------------
% 1.63/1.37 % (22553)------------------------------
% 1.63/1.37 % (22551)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/710Mi)
% 1.63/1.37 % (22556)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/6Mi)
% 1.63/1.38 % (22554)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/21Mi)
% 1.63/1.38 % (22556)Instruction limit reached!
% 1.63/1.38 % (22556)------------------------------
% 1.63/1.38 % (22556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (22556)Termination reason: Unknown
% 1.63/1.38 % (22556)Termination phase: Saturation
% 1.63/1.38
% 1.63/1.38 % (22556)Memory used [KB]: 5500
% 1.63/1.38 % (22556)Time elapsed: 0.004 s
% 1.63/1.38 % (22556)Instructions burned: 8 (million)
% 1.63/1.38 % (22556)------------------------------
% 1.63/1.38 % (22556)------------------------------
% 1.63/1.38 % (22557)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/377Mi)
% 1.63/1.38 % (22555)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/5Mi)
% 1.63/1.38 % (22558)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/779Mi)
% 1.63/1.38 % (22555)Instruction limit reached!
% 1.63/1.38 % (22555)------------------------------
% 1.63/1.38 % (22555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (22555)Termination reason: Unknown
% 1.63/1.38 % (22555)Termination phase: Saturation
% 1.63/1.38
% 1.63/1.38 % (22555)Memory used [KB]: 5500
% 1.63/1.38 % (22555)Time elapsed: 0.005 s
% 1.63/1.38 % (22555)Instructions burned: 6 (million)
% 1.63/1.38 % (22555)------------------------------
% 1.63/1.38 % (22555)------------------------------
% 1.63/1.38 % (22531)Instruction limit reached!
% 1.63/1.38 % (22531)------------------------------
% 1.63/1.38 % (22531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (22531)Termination reason: Unknown
% 1.63/1.38 % (22531)Termination phase: Saturation
% 1.63/1.38
% 1.63/1.38 % (22531)Memory used [KB]: 6268
% 1.63/1.38 % (22531)Time elapsed: 0.071 s
% 1.63/1.38 % (22531)Instructions burned: 185 (million)
% 1.63/1.38 % (22531)------------------------------
% 1.63/1.38 % (22531)------------------------------
% 1.63/1.39 % (22558)Refutation not found, incomplete strategy
% 1.63/1.39 % (22558)------------------------------
% 1.63/1.39 % (22558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (22558)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.39
% 1.63/1.39
% 1.63/1.39 % (22558)Memory used [KB]: 5628
% 1.63/1.39 % (22558)Time elapsed: 0.008 s
% 1.63/1.39 % (22558)Instructions burned: 20 (million)
% 1.63/1.39 % (22558)------------------------------
% 1.63/1.39 % (22558)------------------------------
% 1.63/1.39 % (22559)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/19Mi)
% 1.63/1.39 % (22559)Refutation not found, incomplete strategy
% 1.63/1.39 % (22559)------------------------------
% 1.63/1.39 % (22559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (22559)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.39
% 1.63/1.39
% 1.63/1.39 % (22559)Memory used [KB]: 5500
% 1.63/1.39 % (22559)Time elapsed: 0.004 s
% 1.63/1.39 % (22559)Instructions burned: 6 (million)
% 1.63/1.39 % (22559)------------------------------
% 1.63/1.39 % (22559)------------------------------
% 1.63/1.39 % (22554)Instruction limit reached!
% 1.63/1.39 % (22554)------------------------------
% 1.63/1.39 % (22554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (22554)Termination reason: Unknown
% 1.63/1.39 % (22554)Termination phase: Saturation
% 1.63/1.39
% 1.63/1.39 % (22554)Memory used [KB]: 5628
% 1.63/1.39 % (22554)Time elapsed: 0.015 s
% 1.63/1.39 % (22554)Instructions burned: 21 (million)
% 1.63/1.39 % (22554)------------------------------
% 1.63/1.39 % (22554)------------------------------
% 1.63/1.39 % (22561)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/17Mi)
% 1.63/1.40 % (22564)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/3Mi)
% 1.63/1.40 % (22564)Instruction limit reached!
% 1.63/1.40 % (22564)------------------------------
% 1.63/1.40 % (22564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (22564)Termination reason: Unknown
% 1.63/1.40 % (22564)Termination phase: Property scanning
% 1.63/1.40
% 1.63/1.40 % (22564)Memory used [KB]: 1023
% 1.63/1.40 % (22564)Time elapsed: 0.003 s
% 1.63/1.40 % (22564)Instructions burned: 4 (million)
% 1.63/1.40 % (22564)------------------------------
% 1.63/1.40 % (22564)------------------------------
% 1.63/1.40 % (22561)Instruction limit reached!
% 1.63/1.40 % (22561)------------------------------
% 1.63/1.40 % (22561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (22561)Termination reason: Unknown
% 1.63/1.40 % (22561)Termination phase: Saturation
% 1.63/1.40
% 1.63/1.40 % (22561)Memory used [KB]: 5628
% 1.63/1.40 % (22561)Time elapsed: 0.030 s
% 1.63/1.40 % (22561)Instructions burned: 18 (million)
% 1.63/1.40 % (22561)------------------------------
% 1.63/1.40 % (22561)------------------------------
% 1.63/1.40 % (22560)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/879Mi)
% 1.63/1.40 % (22560)Refutation not found, incomplete strategy
% 1.63/1.40 % (22560)------------------------------
% 1.63/1.40 % (22560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (22560)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.40
% 1.63/1.40
% 1.63/1.40 % (22560)Memory used [KB]: 5628
% 1.63/1.40 % (22560)Time elapsed: 0.008 s
% 1.63/1.40 % (22560)Instructions burned: 10 (million)
% 1.63/1.40 % (22560)------------------------------
% 1.63/1.40 % (22560)------------------------------
% 1.63/1.41 % (22572)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/3Mi)
% 1.63/1.41 % (22567)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/127Mi)
% 1.63/1.41 % (22566)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_22374 for (2999ds/30Mi)
% 1.63/1.41 % (22570)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/100Mi)
% 1.63/1.41 % (22572)Instruction limit reached!
% 1.63/1.41 % (22572)------------------------------
% 1.63/1.41 % (22572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.41 % (22572)Termination reason: Unknown
% 1.63/1.41 % (22572)Termination phase: Property scanning
% 1.63/1.41
% 1.63/1.41 % (22572)Memory used [KB]: 1023
% 1.63/1.41 % (22572)Time elapsed: 0.002 s
% 1.63/1.41 % (22572)Instructions burned: 4 (million)
% 1.63/1.41 % (22572)------------------------------
% 1.63/1.41 % (22572)------------------------------
% 1.63/1.41 % (22570)Refutation not found, incomplete strategy
% 1.63/1.41 % (22570)------------------------------
% 1.63/1.41 % (22570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.41 % (22570)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.41
% 1.63/1.41
% 1.63/1.41 % (22570)Memory used [KB]: 5500
% 1.63/1.41 % (22570)Time elapsed: 0.004 s
% 1.63/1.41 % (22570)Instructions burned: 7 (million)
% 1.63/1.41 % (22570)------------------------------
% 1.63/1.41 % (22570)------------------------------
% 1.63/1.42 % (22578)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/86Mi)
% 1.63/1.42 % (22578)Refutation not found, incomplete strategy
% 1.63/1.42 % (22578)------------------------------
% 1.63/1.42 % (22578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.42 % (22578)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.42
% 1.63/1.42
% 1.63/1.42 % (22578)Memory used [KB]: 5628
% 1.63/1.42 % (22578)Time elapsed: 0.004 s
% 1.63/1.42 % (22578)Instructions burned: 9 (million)
% 1.63/1.42 % (22578)------------------------------
% 1.63/1.42 % (22578)------------------------------
% 1.63/1.42 % (22580)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/107Mi)
% 1.63/1.42 % (22576)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/20Mi)
% 1.63/1.42 % (22580)Refutation not found, incomplete strategy
% 1.63/1.42 % (22580)------------------------------
% 1.63/1.42 % (22580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.42 % (22580)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.42
% 1.63/1.42
% 1.63/1.42 % (22580)Memory used [KB]: 5500
% 1.63/1.42 % (22580)Time elapsed: 0.004 s
% 1.63/1.42 % (22580)Instructions burned: 7 (million)
% 1.63/1.42 % (22580)------------------------------
% 1.63/1.42 % (22580)------------------------------
% 1.63/1.43 % (22566)Instruction limit reached!
% 1.63/1.43 % (22566)------------------------------
% 1.63/1.43 % (22566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (22566)Termination reason: Unknown
% 1.63/1.43 % (22566)Termination phase: Saturation
% 1.63/1.43
% 1.63/1.43 % (22566)Memory used [KB]: 5756
% 1.63/1.43 % (22566)Time elapsed: 0.021 s
% 1.63/1.43 % (22566)Instructions burned: 31 (million)
% 1.63/1.43 % (22566)------------------------------
% 1.63/1.43 % (22566)------------------------------
% 1.63/1.43 % (22576)Refutation not found, incomplete strategy
% 1.63/1.43 % (22576)------------------------------
% 1.63/1.43 % (22576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (22576)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.43
% 1.63/1.43
% 1.63/1.43 % (22576)Memory used [KB]: 5500
% 1.63/1.43 % (22576)Time elapsed: 0.005 s
% 1.63/1.43 % (22576)Instructions burned: 6 (million)
% 1.63/1.43 % (22576)------------------------------
% 1.63/1.43 % (22576)------------------------------
% 1.63/1.43 % (22585)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/39Mi)
% 1.63/1.43 % (22588)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/448Mi)
% 1.63/1.44 % (22588)Refutation not found, incomplete strategy
% 1.63/1.44 % (22588)------------------------------
% 1.63/1.44 % (22588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.44 % (22588)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.44
% 1.63/1.44
% 1.63/1.44 % (22588)Memory used [KB]: 5500
% 1.63/1.44 % (22588)Time elapsed: 0.004 s
% 1.63/1.44 % (22588)Instructions burned: 6 (million)
% 1.63/1.44 % (22588)------------------------------
% 1.63/1.44 % (22588)------------------------------
% 1.63/1.44 % (22591)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/98Mi)
% 1.63/1.44 % (22585)Instruction limit reached!
% 1.63/1.44 % (22585)------------------------------
% 1.63/1.44 % (22585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.44 % (22585)Termination reason: Unknown
% 1.63/1.44 % (22585)Termination phase: Saturation
% 1.63/1.44
% 1.63/1.44 % (22585)Memory used [KB]: 5756
% 1.63/1.44 % (22585)Time elapsed: 0.014 s
% 1.63/1.44 % (22585)Instructions burned: 40 (million)
% 1.63/1.44 % (22585)------------------------------
% 1.63/1.44 % (22585)------------------------------
% 1.63/1.44 % (22589)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/46Mi)
% 1.63/1.45 % (22596)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/507Mi)
% 1.63/1.45 % (22591)Refutation not found, incomplete strategy
% 1.63/1.45 % (22591)------------------------------
% 1.63/1.45 % (22591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.45 % (22591)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.45
% 1.63/1.45
% 1.63/1.45 % (22591)Memory used [KB]: 1151
% 1.63/1.45 % (22591)Time elapsed: 0.008 s
% 1.63/1.45 % (22591)Instructions burned: 22 (million)
% 1.63/1.45 % (22591)------------------------------
% 1.63/1.45 % (22591)------------------------------
% 1.63/1.45 % (22596)Refutation not found, incomplete strategy
% 1.63/1.45 % (22596)------------------------------
% 1.63/1.45 % (22596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.45 % (22596)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.45
% 1.63/1.45
% 1.63/1.45 % (22596)Memory used [KB]: 5500
% 1.63/1.45 % (22596)Time elapsed: 0.004 s
% 1.63/1.45 % (22596)Instructions burned: 7 (million)
% 1.63/1.45 % (22596)------------------------------
% 1.63/1.45 % (22596)------------------------------
% 1.63/1.45 % (22599)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/149Mi)
% 1.63/1.46 % (22602)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/39Mi)
% 1.63/1.46 % (22603)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/6Mi)
% 1.63/1.46 % (22603)Instruction limit reached!
% 1.63/1.46 % (22603)------------------------------
% 1.63/1.46 % (22603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.46 % (22603)Termination reason: Unknown
% 1.63/1.46 % (22603)Termination phase: Saturation
% 1.63/1.46
% 1.63/1.46 % (22603)Memory used [KB]: 9978
% 1.63/1.46 % (22603)Time elapsed: 0.004 s
% 1.63/1.46 % (22603)Instructions burned: 6 (million)
% 1.63/1.46 % (22603)------------------------------
% 1.63/1.46 % (22603)------------------------------
% 1.63/1.46 % (22567)Instruction limit reached!
% 1.63/1.46 % (22567)------------------------------
% 1.63/1.46 % (22567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.46 % (22567)Termination reason: Unknown
% 1.63/1.46 % (22567)Termination phase: Saturation
% 1.63/1.46
% 1.63/1.46 % (22567)Memory used [KB]: 6012
% 1.63/1.46 % (22567)Time elapsed: 0.058 s
% 1.63/1.46 % (22567)Instructions burned: 127 (million)
% 1.63/1.46 % (22567)------------------------------
% 1.63/1.46 % (22567)------------------------------
% 1.63/1.47 % (22589)Instruction limit reached!
% 1.63/1.47 % (22589)------------------------------
% 1.63/1.47 % (22589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.47 % (22589)Termination reason: Unknown
% 1.63/1.47 % (22589)Termination phase: Saturation
% 1.63/1.47
% 1.63/1.47 % (22589)Memory used [KB]: 5756
% 1.63/1.47 % (22589)Time elapsed: 0.031 s
% 1.63/1.47 % (22589)Instructions burned: 46 (million)
% 1.63/1.47 % (22589)------------------------------
% 1.63/1.47 % (22589)------------------------------
% 1.63/1.47 % (22611)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/1087Mi)
% 1.63/1.47 % (22602)Instruction limit reached!
% 1.63/1.47 % (22602)------------------------------
% 1.63/1.47 % (22602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.47 % (22602)Termination reason: Unknown
% 1.63/1.47 % (22602)Termination phase: Saturation
% 1.63/1.47
% 1.63/1.47 % (22602)Memory used [KB]: 5628
% 1.63/1.47 % (22602)Time elapsed: 0.015 s
% 1.63/1.47 % (22602)Instructions burned: 39 (million)
% 1.63/1.47 % (22602)------------------------------
% 1.63/1.47 % (22602)------------------------------
% 1.63/1.47 % (22613)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/47Mi)
% 1.63/1.48 % (22611)Refutation not found, incomplete strategy
% 1.63/1.48 % (22611)------------------------------
% 1.63/1.48 % (22611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.48 % (22611)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.48
% 1.63/1.48
% 1.63/1.48 % (22611)Memory used [KB]: 5628
% 1.63/1.48 % (22611)Time elapsed: 0.005 s
% 1.63/1.48 % (22611)Instructions burned: 9 (million)
% 1.63/1.48 % (22611)------------------------------
% 1.63/1.48 % (22611)------------------------------
% 1.63/1.48 % (22619)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/432Mi)
% 1.63/1.49 % (22621)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/62Mi)
% 1.63/1.49 % (22557)Instruction limit reached!
% 1.63/1.49 % (22557)------------------------------
% 1.63/1.49 % (22557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.49 % (22557)Termination reason: Unknown
% 1.63/1.49 % (22557)Termination phase: Saturation
% 1.63/1.49
% 1.63/1.49 % (22557)Memory used [KB]: 6396
% 1.63/1.49 % (22557)Time elapsed: 0.113 s
% 1.63/1.49 % (22557)Instructions burned: 379 (million)
% 1.63/1.49 % (22557)------------------------------
% 1.63/1.49 % (22557)------------------------------
% 1.63/1.49 % (22617)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/44Mi)
% 1.63/1.49 % (22613)Instruction limit reached!
% 1.63/1.49 % (22613)------------------------------
% 1.63/1.49 % (22613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.49 % (22613)Termination reason: Unknown
% 1.63/1.49 % (22613)Termination phase: Saturation
% 1.63/1.49
% 1.63/1.49 % (22613)Memory used [KB]: 5756
% 1.63/1.49 % (22613)Time elapsed: 0.018 s
% 1.63/1.49 % (22613)Instructions burned: 49 (million)
% 1.63/1.49 % (22613)------------------------------
% 1.63/1.49 % (22613)------------------------------
% 1.63/1.49 % (22617)Refutation not found, incomplete strategy
% 1.63/1.49 % (22617)------------------------------
% 1.63/1.49 % (22617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.49 % (22617)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.49
% 1.63/1.49
% 1.63/1.49 % (22617)Memory used [KB]: 1023
% 1.63/1.49 % (22617)Time elapsed: 0.005 s
% 1.63/1.49 % (22617)Instructions burned: 7 (million)
% 1.63/1.49 % (22617)------------------------------
% 1.63/1.49 % (22617)------------------------------
% 1.63/1.50 % (22625)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/31Mi)
% 1.63/1.50 % (22626)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/96Mi)
% 1.63/1.50 % (22599)Instruction limit reached!
% 1.63/1.50 % (22599)------------------------------
% 1.63/1.50 % (22599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.50 % (22599)Termination reason: Unknown
% 1.63/1.50 % (22599)Termination phase: Saturation
% 1.63/1.50
% 1.63/1.50 % (22599)Memory used [KB]: 6140
% 1.63/1.50 % (22599)Time elapsed: 0.053 s
% 1.63/1.50 % (22599)Instructions burned: 151 (million)
% 1.63/1.50 % (22599)------------------------------
% 1.63/1.50 % (22599)------------------------------
% 1.63/1.50 % (22629)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_22374 for (2998ds/453Mi)
% 1.63/1.51 % (22621)Instruction limit reached!
% 1.63/1.51 % (22621)------------------------------
% 1.63/1.51 % (22621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.51 % (22621)Termination reason: Unknown
% 1.63/1.51 % (22621)Termination phase: Saturation
% 1.63/1.51
% 1.63/1.51 % (22621)Memory used [KB]: 5756
% 1.63/1.51 % (22621)Time elapsed: 0.021 s
% 1.63/1.51 % (22621)Instructions burned: 62 (million)
% 1.63/1.51 % (22621)------------------------------
% 1.63/1.51 % (22621)------------------------------
% 1.63/1.51 % (22625)Instruction limit reached!
% 1.63/1.51 % (22625)------------------------------
% 1.63/1.51 % (22625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.51 % (22625)Termination reason: Unknown
% 1.63/1.51 % (22625)Termination phase: Saturation
% 1.63/1.51
% 1.63/1.51 % (22625)Memory used [KB]: 5628
% 1.63/1.51 % (22625)Time elapsed: 0.010 s
% 1.63/1.51 % (22625)Instructions burned: 33 (million)
% 1.63/1.51 % (22625)------------------------------
% 1.63/1.51 % (22625)------------------------------
% 1.63/1.51 % (22629)Refutation not found, incomplete strategy
% 1.63/1.51 % (22629)------------------------------
% 1.63/1.51 % (22629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.51 % (22629)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.51
% 1.63/1.51
% 1.63/1.51 % (22629)Memory used [KB]: 5628
% 1.63/1.51 % (22629)Time elapsed: 0.009 s
% 1.63/1.51 % (22629)Instructions burned: 24 (million)
% 1.63/1.51 % (22629)------------------------------
% 1.63/1.51 % (22629)------------------------------
% 1.63/1.51 % (22634)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/71Mi)
% 1.63/1.52 % (22636)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/83Mi)
% 1.63/1.52 % (22638)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/11Mi)
% 1.63/1.52 % (22636)Refutation not found, incomplete strategy
% 1.63/1.52 % (22636)------------------------------
% 1.63/1.52 % (22636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.52 % (22636)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.52
% 1.63/1.52
% 1.63/1.52 % (22636)Memory used [KB]: 5500
% 1.63/1.52 % (22636)Time elapsed: 0.003 s
% 1.63/1.52 % (22636)Instructions burned: 3 (million)
% 1.63/1.52 % (22636)------------------------------
% 1.63/1.52 % (22636)------------------------------
% 1.63/1.52 % (22638)Instruction limit reached!
% 1.63/1.52 % (22638)------------------------------
% 1.63/1.52 % (22638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.52 % (22638)Termination reason: Unknown
% 1.63/1.52 % (22638)Termination phase: Saturation
% 1.63/1.52
% 1.63/1.52 % (22638)Memory used [KB]: 5500
% 1.63/1.52 % (22638)Time elapsed: 0.005 s
% 1.63/1.52 % (22638)Instructions burned: 13 (million)
% 1.63/1.52 % (22638)------------------------------
% 1.63/1.52 % (22638)------------------------------
% 1.63/1.52 % (22641)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/41Mi)
% 1.63/1.53 % (22643)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/6Mi)
% 1.63/1.53 % (22641)Refutation not found, incomplete strategy
% 1.63/1.53 % (22641)------------------------------
% 1.63/1.53 % (22641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.53 % (22641)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.53
% 1.63/1.53
% 1.63/1.53 % (22641)Memory used [KB]: 5628
% 1.63/1.53 % (22641)Time elapsed: 0.007 s
% 1.63/1.53 % (22641)Instructions burned: 17 (million)
% 1.63/1.53 % (22641)------------------------------
% 1.63/1.53 % (22641)------------------------------
% 1.63/1.53 % (22646)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/150Mi)
% 1.63/1.53 % (22643)Instruction limit reached!
% 1.63/1.53 % (22643)------------------------------
% 1.63/1.53 % (22643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.53 % (22643)Termination reason: Unknown
% 1.63/1.53 % (22643)Termination phase: Saturation
% 1.63/1.53
% 1.63/1.53 % (22643)Memory used [KB]: 5500
% 1.63/1.53 % (22643)Time elapsed: 0.004 s
% 1.63/1.53 % (22643)Instructions burned: 7 (million)
% 1.63/1.53 % (22643)------------------------------
% 1.63/1.53 % (22643)------------------------------
% 1.63/1.53 % (22626)Instruction limit reached!
% 1.63/1.53 % (22626)------------------------------
% 1.63/1.53 % (22626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.53 % (22626)Termination reason: Unknown
% 1.63/1.53 % (22626)Termination phase: Saturation
% 1.63/1.53
% 1.63/1.53 % (22626)Memory used [KB]: 5884
% 1.63/1.53 % (22626)Time elapsed: 0.035 s
% 1.63/1.53 % (22626)Instructions burned: 98 (million)
% 1.63/1.53 % (22626)------------------------------
% 1.63/1.53 % (22626)------------------------------
% 1.63/1.53 % (22646)Refutation not found, incomplete strategy
% 1.63/1.53 % (22646)------------------------------
% 1.63/1.53 % (22646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.53 % (22646)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.53
% 1.63/1.53
% 1.63/1.53 % (22646)Memory used [KB]: 5628
% 1.63/1.53 % (22646)Time elapsed: 0.006 s
% 1.63/1.53 % (22646)Instructions burned: 15 (million)
% 1.63/1.53 % (22646)------------------------------
% 1.63/1.53 % (22646)------------------------------
% 1.63/1.54 % (22634)Instruction limit reached!
% 1.63/1.54 % (22634)------------------------------
% 1.63/1.54 % (22634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.54 % (22634)Termination reason: Unknown
% 1.63/1.54 % (22634)Termination phase: Saturation
% 1.63/1.54
% 1.63/1.54 % (22634)Memory used [KB]: 5756
% 1.63/1.54 % (22634)Time elapsed: 0.025 s
% 1.63/1.54 % (22634)Instructions burned: 73 (million)
% 1.63/1.54 % (22634)------------------------------
% 1.63/1.54 % (22634)------------------------------
% 1.63/1.54 % (22649)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/343Mi)
% 1.63/1.54 % (22650)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/109Mi)
% 1.63/1.54 % (22649)Refutation not found, incomplete strategy
% 1.63/1.54 % (22649)------------------------------
% 1.63/1.54 % (22649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.54 % (22649)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.54
% 1.63/1.54
% 1.63/1.54 % (22649)Memory used [KB]: 5500
% 1.63/1.54 % (22649)Time elapsed: 0.004 s
% 1.63/1.54 % (22649)Instructions burned: 6 (million)
% 1.63/1.54 % (22649)------------------------------
% 1.63/1.54 % (22649)------------------------------
% 1.63/1.54 % (22651)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/253Mi)
% 1.63/1.54 % (22651)Refutation not found, incomplete strategy
% 1.63/1.54 % (22651)------------------------------
% 1.63/1.54 % (22651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.54 % (22651)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.54
% 1.63/1.54
% 1.63/1.54 % (22651)Memory used [KB]: 5500
% 1.63/1.54 % (22651)Time elapsed: 0.003 s
% 1.63/1.54 % (22651)Instructions burned: 3 (million)
% 1.63/1.54 % (22651)------------------------------
% 1.63/1.54 % (22651)------------------------------
% 1.63/1.54 % (22652)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/140Mi)
% 1.63/1.55 % (22654)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/614Mi)
% 1.63/1.55 % (22652)Refutation not found, incomplete strategy
% 1.63/1.55 % (22652)------------------------------
% 1.63/1.55 % (22652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.55 % (22652)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.55
% 1.63/1.55
% 1.63/1.55 % (22652)Memory used [KB]: 5500
% 1.63/1.55 % (22652)Time elapsed: 0.025 s
% 1.63/1.55 % (22652)Instructions burned: 7 (million)
% 1.63/1.55 % (22652)------------------------------
% 1.63/1.55 % (22652)------------------------------
% 1.63/1.55 % (22654)Refutation not found, incomplete strategy
% 1.63/1.55 % (22654)------------------------------
% 1.63/1.55 % (22654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.55 % (22654)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.55
% 1.63/1.55
% 1.63/1.55 % (22654)Memory used [KB]: 5628
% 1.63/1.55 % (22654)Time elapsed: 0.005 s
% 1.63/1.55 % (22654)Instructions burned: 9 (million)
% 1.63/1.55 % (22654)------------------------------
% 1.63/1.55 % (22654)------------------------------
% 1.63/1.55 % (22657)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/202Mi)
% 1.63/1.55 % (22657)Refutation not found, incomplete strategy
% 1.63/1.55 % (22657)------------------------------
% 1.63/1.55 % (22657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.55 % (22657)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.55
% 1.63/1.55
% 1.63/1.55 % (22657)Memory used [KB]: 5500
% 1.63/1.55 % (22657)Time elapsed: 0.003 s
% 1.63/1.55 % (22657)Instructions burned: 4 (million)
% 1.63/1.55 % (22657)------------------------------
% 1.63/1.55 % (22657)------------------------------
% 1.63/1.55 % (22659)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/339Mi)
% 1.63/1.56 % (22663)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/283Mi)
% 1.63/1.56 % (22659)Refutation not found, incomplete strategy
% 1.63/1.56 % (22659)------------------------------
% 1.63/1.56 % (22659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.56 % (22659)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.56
% 1.63/1.56
% 1.63/1.56 % (22659)Memory used [KB]: 5628
% 1.63/1.56 % (22659)Time elapsed: 0.007 s
% 1.63/1.56 % (22659)Instructions burned: 15 (million)
% 1.63/1.56 % (22659)------------------------------
% 1.63/1.56 % (22659)------------------------------
% 1.63/1.56 % (22666)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/134Mi)
% 1.63/1.56 % (22667)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/298Mi)
% 1.63/1.57 % (22650)Instruction limit reached!
% 1.63/1.57 % (22650)------------------------------
% 1.63/1.57 % (22650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.57 % (22650)Termination reason: Unknown
% 1.63/1.57 % (22650)Termination phase: Saturation
% 1.63/1.57
% 1.63/1.57 % (22650)Memory used [KB]: 5628
% 1.63/1.57 % (22650)Time elapsed: 0.032 s
% 1.63/1.57 % (22650)Instructions burned: 109 (million)
% 1.63/1.57 % (22650)------------------------------
% 1.63/1.57 % (22650)------------------------------
% 1.63/1.57 % (22668)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/192Mi)
% 1.63/1.57 % (22668)Refutation not found, incomplete strategy
% 1.63/1.57 % (22668)------------------------------
% 1.63/1.57 % (22668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.57 % (22668)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.57
% 1.63/1.57
% 1.63/1.57 % (22668)Memory used [KB]: 5500
% 1.63/1.57 % (22668)Time elapsed: 0.004 s
% 1.63/1.57 % (22668)Instructions burned: 7 (million)
% 1.63/1.57 % (22668)------------------------------
% 1.63/1.57 % (22668)------------------------------
% 1.63/1.58 % (22671)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/258Mi)
% 1.63/1.58 % (22671)Refutation not found, incomplete strategy
% 1.63/1.58 % (22671)------------------------------
% 1.63/1.58 % (22671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.58 % (22671)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.58
% 1.63/1.58
% 1.63/1.58 % (22671)Memory used [KB]: 5500
% 1.63/1.58 % (22671)Time elapsed: 0.004 s
% 1.63/1.58 % (22671)Instructions burned: 7 (million)
% 1.63/1.58 % (22671)------------------------------
% 1.63/1.58 % (22671)------------------------------
% 1.63/1.58 % (22675)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/90Mi)
% 1.63/1.59 % (22683)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_22374 for (2997ds/231Mi)
% 1.63/1.60 % (22666)Instruction limit reached!
% 1.63/1.60 % (22666)------------------------------
% 1.63/1.60 % (22666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.60 % (22666)Termination reason: Unknown
% 1.63/1.60 % (22666)Termination phase: Saturation
% 1.63/1.60
% 1.63/1.60 % (22666)Memory used [KB]: 6140
% 1.63/1.60 % (22666)Time elapsed: 0.044 s
% 1.63/1.60 % (22666)Instructions burned: 135 (million)
% 1.63/1.60 % (22666)------------------------------
% 1.63/1.60 % (22666)------------------------------
% 1.63/1.61 % (22692)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/458Mi)
% 1.63/1.62 % (22619)Instruction limit reached!
% 1.63/1.62 % (22619)------------------------------
% 1.63/1.62 % (22619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.62 % (22619)Termination reason: Unknown
% 1.63/1.62 % (22619)Termination phase: Saturation
% 1.63/1.62
% 1.63/1.62 % (22619)Memory used [KB]: 3582
% 1.63/1.62 % (22619)Time elapsed: 0.134 s
% 1.63/1.62 % (22619)Instructions burned: 433 (million)
% 1.63/1.62 % (22619)------------------------------
% 1.63/1.62 % (22619)------------------------------
% 1.63/1.62 % (22675)Instruction limit reached!
% 1.63/1.62 % (22675)------------------------------
% 1.63/1.62 % (22675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.62 % (22675)Termination reason: Unknown
% 1.63/1.62 % (22675)Termination phase: Saturation
% 1.63/1.62
% 1.63/1.62 % (22675)Memory used [KB]: 5884
% 1.63/1.62 % (22675)Time elapsed: 0.035 s
% 1.63/1.62 % (22675)Instructions burned: 92 (million)
% 1.63/1.62 % (22675)------------------------------
% 1.63/1.62 % (22675)------------------------------
% 1.63/1.62 % (22692)Refutation not found, incomplete strategy
% 1.63/1.62 % (22692)------------------------------
% 1.63/1.62 % (22692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.62 % (22692)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.62
% 1.63/1.62
% 1.63/1.62 % (22692)Memory used [KB]: 5628
% 1.63/1.62 % (22692)Time elapsed: 0.004 s
% 1.63/1.62 % (22692)Instructions burned: 9 (million)
% 1.63/1.62 % (22692)------------------------------
% 1.63/1.62 % (22692)------------------------------
% 1.63/1.63 % (22697)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/31Mi)
% 1.63/1.63 % (22699)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/297Mi)
% 1.63/1.63 % (22700)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/987Mi)
% 1.63/1.63 % (22551)Instruction limit reached!
% 1.63/1.63 % (22551)------------------------------
% 1.63/1.63 % (22551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.63 % (22551)Termination reason: Unknown
% 1.63/1.63 % (22551)Termination phase: Saturation
% 1.63/1.63
% 1.63/1.63 % (22551)Memory used [KB]: 7291
% 1.63/1.63 % (22551)Time elapsed: 0.263 s
% 1.63/1.63 % (22551)Instructions burned: 710 (million)
% 1.63/1.63 % (22551)------------------------------
% 1.63/1.63 % (22551)------------------------------
% 1.63/1.63 % (22699)Refutation not found, incomplete strategy
% 1.63/1.63 % (22699)------------------------------
% 1.63/1.63 % (22699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.63 % (22699)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.63
% 1.63/1.63
% 1.63/1.63 % (22699)Memory used [KB]: 5500
% 1.63/1.63 % (22699)Time elapsed: 0.008 s
% 1.63/1.63 % (22699)Instructions burned: 16 (million)
% 1.63/1.63 % (22699)------------------------------
% 1.63/1.63 % (22699)------------------------------
% 1.63/1.63 % (22697)Instruction limit reached!
% 1.63/1.63 % (22697)------------------------------
% 1.63/1.63 % (22697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.63 % (22697)Termination reason: Unknown
% 1.63/1.63 % (22697)Termination phase: Saturation
% 1.63/1.63
% 1.63/1.63 % (22697)Memory used [KB]: 5628
% 1.63/1.63 % (22697)Time elapsed: 0.011 s
% 1.63/1.63 % (22697)Instructions burned: 31 (million)
% 1.63/1.63 % (22697)------------------------------
% 1.63/1.63 % (22697)------------------------------
% 1.63/1.64 % (22663)Instruction limit reached!
% 1.63/1.64 % (22663)------------------------------
% 1.63/1.64 % (22663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.64 % (22663)Termination reason: Unknown
% 1.63/1.64 % (22663)Termination phase: Saturation
% 1.63/1.64
% 1.63/1.64 % (22663)Memory used [KB]: 6652
% 1.63/1.64 % (22663)Time elapsed: 0.080 s
% 1.63/1.64 % (22663)Instructions burned: 284 (million)
% 1.63/1.64 % (22663)------------------------------
% 1.63/1.64 % (22663)------------------------------
% 1.63/1.64 % (22712)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/182Mi)
% 1.63/1.64 % (22713)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/182Mi)
% 1.63/1.64 % (22715)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/154Mi)
% 1.63/1.65 % (22717)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/79Mi)
% 1.63/1.65 % (22717)Refutation not found, incomplete strategy
% 1.63/1.65 % (22717)------------------------------
% 1.63/1.65 % (22717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.65 % (22717)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.65
% 1.63/1.65
% 1.63/1.65 % (22717)Memory used [KB]: 5628
% 1.63/1.65 % (22717)Time elapsed: 0.004 s
% 1.63/1.65 % (22717)Instructions burned: 9 (million)
% 1.63/1.65 % (22717)------------------------------
% 1.63/1.65 % (22717)------------------------------
% 1.63/1.66 % (22715)Refutation not found, incomplete strategy
% 1.63/1.66 % (22715)------------------------------
% 1.63/1.66 % (22715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.66 % (22715)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.66
% 1.63/1.66
% 1.63/1.66 % (22715)Memory used [KB]: 5628
% 1.63/1.66 % (22715)Time elapsed: 0.013 s
% 1.63/1.66 % (22715)Instructions burned: 36 (million)
% 1.63/1.66 % (22715)------------------------------
% 1.63/1.66 % (22715)------------------------------
% 1.63/1.66 % (22724)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/216Mi)
% 1.63/1.66 % (22724)Refutation not found, incomplete strategy
% 1.63/1.66 % (22724)------------------------------
% 1.63/1.66 % (22724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.66 % (22724)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.66
% 1.63/1.66
% 1.63/1.66 % (22724)Memory used [KB]: 5500
% 1.63/1.66 % (22724)Time elapsed: 0.004 s
% 1.63/1.66 % (22724)Instructions burned: 9 (million)
% 1.63/1.66 % (22724)------------------------------
% 1.63/1.66 % (22724)------------------------------
% 1.63/1.67 % (22725)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/114Mi)
% 1.63/1.67 % (22667)Instruction limit reached!
% 1.63/1.67 % (22667)------------------------------
% 1.63/1.67 % (22667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.67 % (22667)Termination reason: Unknown
% 1.63/1.67 % (22667)Termination phase: Saturation
% 1.63/1.67
% 1.63/1.67 % (22667)Memory used [KB]: 5884
% 1.63/1.67 % (22667)Time elapsed: 0.104 s
% 1.63/1.67 % (22667)Instructions burned: 299 (million)
% 1.63/1.67 % (22667)------------------------------
% 1.63/1.67 % (22667)------------------------------
% 1.63/1.67 % (22683)Instruction limit reached!
% 1.63/1.67 % (22683)------------------------------
% 1.63/1.67 % (22683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.67 % (22683)Termination reason: Unknown
% 1.63/1.67 % (22683)Termination phase: Saturation
% 1.63/1.67
% 1.63/1.67 % (22683)Memory used [KB]: 6652
% 1.63/1.67 % (22683)Time elapsed: 0.080 s
% 1.63/1.67 % (22683)Instructions burned: 232 (million)
% 1.63/1.67 % (22683)------------------------------
% 1.63/1.67 % (22683)------------------------------
% 1.63/1.67 % (22727)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/922Mi)
% 1.63/1.68 % (22727)Refutation not found, incomplete strategy
% 1.63/1.68 % (22727)------------------------------
% 1.63/1.68 % (22727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.68 % (22727)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.68
% 1.63/1.68
% 1.63/1.68 % (22727)Memory used [KB]: 5628
% 1.63/1.68 % (22727)Time elapsed: 0.004 s
% 1.63/1.68 % (22727)Instructions burned: 9 (million)
% 1.63/1.68 % (22727)------------------------------
% 1.63/1.68 % (22727)------------------------------
% 1.63/1.68 % (22734)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/182Mi)
% 1.63/1.68 % (22739)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/164Mi)
% 1.63/1.68 % (22739)Refutation not found, incomplete strategy
% 1.63/1.68 % (22739)------------------------------
% 1.63/1.68 % (22739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.68 % (22739)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.68
% 1.63/1.68
% 1.63/1.68 % (22739)Memory used [KB]: 1023
% 1.63/1.68 % (22739)Time elapsed: 0.003 s
% 1.63/1.68 % (22739)Instructions burned: 4 (million)
% 1.63/1.68 % (22739)------------------------------
% 1.63/1.68 % (22739)------------------------------
% 1.63/1.68 % (22742)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/50Mi)
% 1.63/1.69 % (22712)Instruction limit reached!
% 1.63/1.69 % (22712)------------------------------
% 1.63/1.69 % (22712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.69 % (22712)Termination reason: Unknown
% 1.63/1.69 % (22712)Termination phase: Saturation
% 1.63/1.69
% 1.63/1.69 % (22712)Memory used [KB]: 5756
% 1.63/1.69 % (22712)Time elapsed: 0.054 s
% 1.63/1.69 % (22712)Instructions burned: 184 (million)
% 1.63/1.69 % (22712)------------------------------
% 1.63/1.69 % (22712)------------------------------
% 1.63/1.69 % (22745)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/368Mi)
% 1.63/1.70 % (22742)Instruction limit reached!
% 1.63/1.70 % (22742)------------------------------
% 1.63/1.70 % (22742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.70 % (22742)Termination reason: Unknown
% 1.63/1.70 % (22742)Termination phase: Saturation
% 1.63/1.70
% 1.63/1.70 % (22742)Memory used [KB]: 10618
% 1.63/1.70 % (22742)Time elapsed: 0.016 s
% 1.63/1.70 % (22742)Instructions burned: 51 (million)
% 1.63/1.70 % (22742)------------------------------
% 1.63/1.70 % (22742)------------------------------
% 1.63/1.70 % (22725)Instruction limit reached!
% 1.63/1.70 % (22725)------------------------------
% 1.63/1.70 % (22725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.70 % (22725)Termination reason: Unknown
% 1.63/1.70 % (22725)Termination phase: Saturation
% 1.63/1.70
% 1.63/1.70 % (22725)Memory used [KB]: 5884
% 1.63/1.70 % (22725)Time elapsed: 0.037 s
% 1.63/1.70 % (22725)Instructions burned: 117 (million)
% 1.63/1.70 % (22725)------------------------------
% 1.63/1.70 % (22725)------------------------------
% 1.63/1.70 % (22749)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/1021Mi)
% 1.63/1.70 % (22713)Instruction limit reached!
% 1.63/1.70 % (22713)------------------------------
% 1.63/1.70 % (22713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.70 % (22713)Termination reason: Unknown
% 1.63/1.70 % (22713)Termination phase: Saturation
% 1.63/1.70
% 1.63/1.70 % (22713)Memory used [KB]: 5884
% 1.63/1.70 % (22713)Time elapsed: 0.063 s
% 1.63/1.70 % (22713)Instructions burned: 182 (million)
% 1.63/1.70 % (22713)------------------------------
% 1.63/1.70 % (22713)------------------------------
% 1.63/1.71 % (22753)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/267Mi)
% 1.63/1.71 % (22755)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/204Mi)
% 1.63/1.71 % (22758)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_22374 for (2996ds/26Mi)
% 1.63/1.72 % (22755)Refutation not found, incomplete strategy
% 1.63/1.72 % (22755)------------------------------
% 1.63/1.72 % (22755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.72 % (22755)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.72
% 1.63/1.72
% 1.63/1.72 % (22755)Memory used [KB]: 5628
% 1.63/1.72 % (22755)Time elapsed: 0.006 s
% 1.63/1.72 % (22755)Instructions burned: 12 (million)
% 1.63/1.72 % (22755)------------------------------
% 1.63/1.72 % (22755)------------------------------
% 1.63/1.72 % (22758)Instruction limit reached!
% 1.63/1.72 % (22758)------------------------------
% 1.63/1.72 % (22758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.72 % (22758)Termination reason: Unknown
% 1.63/1.72 % (22758)Termination phase: Saturation
% 1.63/1.72
% 1.63/1.72 % (22758)Memory used [KB]: 5628
% 1.63/1.72 % (22758)Time elapsed: 0.011 s
% 1.63/1.72 % (22758)Instructions burned: 27 (million)
% 1.63/1.72 % (22758)------------------------------
% 1.63/1.72 % (22758)------------------------------
% 1.63/1.73 % (22765)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/53Mi)
% 1.63/1.73 % (22767)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/4436Mi)
% 1.63/1.74 % (22734)Instruction limit reached!
% 1.63/1.74 % (22734)------------------------------
% 1.63/1.74 % (22734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.74 % (22734)Termination reason: Unknown
% 1.63/1.74 % (22734)Termination phase: Saturation
% 1.63/1.74
% 1.63/1.74 % (22734)Memory used [KB]: 5884
% 1.63/1.74 % (22734)Time elapsed: 0.061 s
% 1.63/1.74 % (22734)Instructions burned: 182 (million)
% 1.63/1.74 % (22734)------------------------------
% 1.63/1.74 % (22734)------------------------------
% 1.63/1.74 % (22767)Refutation not found, incomplete strategy
% 1.63/1.74 % (22767)------------------------------
% 1.63/1.74 % (22767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.74 % (22767)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.74
% 1.63/1.74
% 1.63/1.74 % (22767)Memory used [KB]: 5628
% 1.63/1.74 % (22767)Time elapsed: 0.026 s
% 1.63/1.74 % (22767)Instructions burned: 9 (million)
% 1.63/1.74 % (22767)------------------------------
% 1.63/1.74 % (22767)------------------------------
% 1.63/1.74 % (22765)Refutation not found, incomplete strategy
% 1.63/1.74 % (22765)------------------------------
% 1.63/1.74 % (22765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.74 % (22765)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.74
% 1.63/1.74
% 1.63/1.74 % (22765)Memory used [KB]: 5756
% 1.63/1.74 % (22765)Time elapsed: 0.014 s
% 1.63/1.74 % (22765)Instructions burned: 41 (million)
% 1.63/1.74 % (22765)------------------------------
% 1.63/1.74 % (22765)------------------------------
% 1.63/1.75 % (22773)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/1539Mi)
% 1.63/1.75 % (22775)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/408Mi)
% 1.63/1.75 % (22776)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/5205Mi)
% 1.63/1.75 % (22775)Refutation not found, incomplete strategy
% 1.63/1.75 % (22775)------------------------------
% 1.63/1.75 % (22775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.75 % (22775)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.75
% 1.63/1.75
% 1.63/1.75 % (22775)Memory used [KB]: 5500
% 1.63/1.75 % (22775)Time elapsed: 0.003 s
% 1.63/1.75 % (22775)Instructions burned: 3 (million)
% 1.63/1.75 % (22775)------------------------------
% 1.63/1.75 % (22775)------------------------------
% 1.63/1.76 % (22780)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/1913Mi)
% 1.63/1.76 % (22780)Refutation not found, incomplete strategy
% 1.63/1.76 % (22780)------------------------------
% 1.63/1.76 % (22780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.76 % (22780)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.76
% 1.63/1.76
% 1.63/1.76 % (22780)Memory used [KB]: 1023
% 1.63/1.76 % (22780)Time elapsed: 0.004 s
% 1.63/1.76 % (22780)Instructions burned: 7 (million)
% 1.63/1.76 % (22780)------------------------------
% 1.63/1.76 % (22780)------------------------------
% 1.63/1.76 % (22776)Refutation not found, incomplete strategy
% 1.63/1.76 % (22776)------------------------------
% 1.63/1.76 % (22776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.76 % (22776)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.76
% 1.63/1.76
% 1.63/1.76 % (22776)Memory used [KB]: 5756
% 1.63/1.76 % (22776)Time elapsed: 0.039 s
% 1.63/1.76 % (22776)Instructions burned: 43 (million)
% 1.63/1.76 % (22776)------------------------------
% 1.63/1.76 % (22776)------------------------------
% 1.63/1.77 % (22785)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/4350Mi)
% 1.63/1.78 % (22786)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/68Mi)
% 1.63/1.78 % (22785)Refutation not found, incomplete strategy
% 1.63/1.78 % (22785)------------------------------
% 1.63/1.78 % (22785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.78 % (22785)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.78
% 1.63/1.78
% 1.63/1.78 % (22785)Memory used [KB]: 5500
% 1.63/1.78 % (22785)Time elapsed: 0.004 s
% 1.63/1.78 % (22785)Instructions burned: 7 (million)
% 1.63/1.78 % (22785)------------------------------
% 1.63/1.78 % (22785)------------------------------
% 1.63/1.79 % (22792)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/358Mi)
% 1.63/1.79 % (22792)Refutation not found, incomplete strategy
% 1.63/1.79 % (22792)------------------------------
% 1.63/1.79 % (22792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.79 % (22792)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.79
% 1.63/1.79
% 1.63/1.79 % (22792)Memory used [KB]: 5628
% 1.63/1.79 % (22792)Time elapsed: 0.030 s
% 1.63/1.79 % (22792)Instructions burned: 12 (million)
% 1.63/1.79 % (22792)------------------------------
% 1.63/1.79 % (22792)------------------------------
% 1.63/1.79 % (22753)Instruction limit reached!
% 1.63/1.79 % (22753)------------------------------
% 1.63/1.79 % (22753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.79 % (22753)Termination reason: Unknown
% 1.63/1.79 % (22753)Termination phase: Saturation
% 1.63/1.79
% 1.63/1.79 % (22753)Memory used [KB]: 6268
% 1.63/1.79 % (22753)Time elapsed: 0.083 s
% 1.63/1.79 % (22753)Instructions burned: 269 (million)
% 1.63/1.79 % (22753)------------------------------
% 1.63/1.79 % (22753)------------------------------
% 1.63/1.79 % (22786)Instruction limit reached!
% 1.63/1.79 % (22786)------------------------------
% 1.63/1.79 % (22786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.79 % (22786)Termination reason: Unknown
% 1.63/1.79 % (22786)Termination phase: Saturation
% 1.63/1.79
% 1.63/1.79 % (22786)Memory used [KB]: 5628
% 1.63/1.79 % (22786)Time elapsed: 0.044 s
% 1.63/1.79 % (22786)Instructions burned: 68 (million)
% 1.63/1.79 % (22786)------------------------------
% 1.63/1.79 % (22786)------------------------------
% 1.63/1.80 % (22799)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/31Mi)
% 1.63/1.80 % (22800)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/279Mi)
% 1.63/1.80 % (22802)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_22374 for (2995ds/258Mi)
% 1.63/1.81 % (22800)Refutation not found, incomplete strategy
% 1.63/1.81 % (22800)------------------------------
% 1.63/1.81 % (22800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.81 % (22800)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.81
% 1.63/1.81
% 1.63/1.81 % (22800)Memory used [KB]: 5500
% 1.63/1.81 % (22800)Time elapsed: 0.032 s
% 1.63/1.81 % (22800)Instructions burned: 18 (million)
% 1.63/1.81 % (22800)------------------------------
% 1.63/1.81 % (22800)------------------------------
% 1.63/1.81 % (22745)Instruction limit reached!
% 1.63/1.81 % (22745)------------------------------
% 1.63/1.81 % (22745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.81 % (22745)Termination reason: Unknown
% 1.63/1.81 % (22745)Termination phase: Saturation
% 1.63/1.81
% 1.63/1.81 % (22745)Memory used [KB]: 7931
% 1.63/1.81 % (22745)Time elapsed: 0.116 s
% 1.63/1.81 % (22745)Instructions burned: 369 (million)
% 1.63/1.81 % (22745)------------------------------
% 1.63/1.81 % (22745)------------------------------
% 1.63/1.81 % (22799)Instruction limit reached!
% 1.63/1.81 % (22799)------------------------------
% 1.63/1.81 % (22799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.81 % (22799)Termination reason: Unknown
% 1.63/1.81 % (22799)Termination phase: Saturation
% 1.63/1.81
% 1.63/1.81 % (22799)Memory used [KB]: 5628
% 1.63/1.81 % (22799)Time elapsed: 0.010 s
% 1.63/1.81 % (22799)Instructions burned: 34 (million)
% 1.63/1.81 % (22799)------------------------------
% 1.63/1.81 % (22799)------------------------------
% 1.63/1.82 % (22808)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/995Mi)
% 1.63/1.82 % (22807)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/26Mi)
% 1.63/1.82 % (22809)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/373Mi)
% 1.63/1.82 % (22809)Refutation not found, incomplete strategy
% 1.63/1.82 % (22809)------------------------------
% 1.63/1.82 % (22809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.82 % (22809)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.82
% 1.63/1.82
% 1.63/1.82 % (22809)Memory used [KB]: 5500
% 1.63/1.82 % (22809)Time elapsed: 0.004 s
% 1.63/1.82 % (22809)Instructions burned: 10 (million)
% 1.63/1.82 % (22809)------------------------------
% 1.63/1.82 % (22809)------------------------------
% 1.63/1.82 % (22808)Refutation not found, incomplete strategy
% 1.63/1.82 % (22808)------------------------------
% 1.63/1.82 % (22808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.82 % (22808)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.82
% 1.63/1.82
% 1.63/1.82 % (22808)Memory used [KB]: 5628
% 1.63/1.82 % (22808)Time elapsed: 0.006 s
% 1.63/1.82 % (22808)Instructions burned: 18 (million)
% 1.63/1.82 % (22808)------------------------------
% 1.63/1.82 % (22808)------------------------------
% 1.63/1.83 % (22807)Instruction limit reached!
% 1.63/1.83 % (22807)------------------------------
% 1.63/1.83 % (22807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.83 % (22807)Termination reason: Unknown
% 1.63/1.83 % (22807)Termination phase: Saturation
% 1.63/1.83
% 1.63/1.83 % (22807)Memory used [KB]: 5628
% 1.63/1.83 % (22807)Time elapsed: 0.011 s
% 1.63/1.83 % (22807)Instructions burned: 26 (million)
% 1.63/1.83 % (22807)------------------------------
% 1.63/1.83 % (22807)------------------------------
% 1.63/1.83 % (22814)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/253Mi)
% 1.63/1.83 % (22815)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/832Mi)
% 1.63/1.83 % (22815)Refutation not found, incomplete strategy
% 1.63/1.83 % (22815)------------------------------
% 1.63/1.83 % (22815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.83 % (22815)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.83
% 1.63/1.83
% 1.63/1.83 % (22815)Memory used [KB]: 5500
% 1.63/1.83 % (22815)Time elapsed: 0.002 s
% 1.63/1.83 % (22815)Instructions burned: 3 (million)
% 1.63/1.83 % (22815)------------------------------
% 1.63/1.83 % (22815)------------------------------
% 1.63/1.84 % (22816)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/668Mi)
% 1.63/1.84 % (22814)Refutation not found, incomplete strategy
% 1.63/1.84 % (22814)------------------------------
% 1.63/1.84 % (22814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.84 % (22814)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.84
% 1.63/1.84
% 1.63/1.84 % (22814)Memory used [KB]: 5628
% 1.63/1.84 % (22814)Time elapsed: 0.010 s
% 1.63/1.84 % (22814)Instructions burned: 30 (million)
% 1.63/1.84 % (22814)------------------------------
% 1.63/1.84 % (22814)------------------------------
% 1.63/1.84 % (22818)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/40Mi)
% 1.63/1.85 % (22822)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/294Mi)
% 1.63/1.85 % (22818)Instruction limit reached!
% 1.63/1.85 % (22818)------------------------------
% 1.63/1.85 % (22818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.85 % (22818)Termination reason: Unknown
% 1.63/1.85 % (22818)Termination phase: Saturation
% 1.63/1.85
% 1.63/1.85 % (22818)Memory used [KB]: 5756
% 1.63/1.85 % (22818)Time elapsed: 0.012 s
% 1.63/1.85 % (22818)Instructions burned: 40 (million)
% 1.63/1.85 % (22818)------------------------------
% 1.63/1.85 % (22818)------------------------------
% 1.63/1.86 % (22700)Refutation not found, incomplete strategy
% 1.63/1.86 % (22700)------------------------------
% 1.63/1.86 % (22700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.86 % (22700)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.86
% 1.63/1.86
% 1.63/1.86 % (22700)Memory used [KB]: 7036
% 1.63/1.86 % (22700)Time elapsed: 0.230 s
% 1.63/1.86 % (22700)Instructions burned: 719 (million)
% 1.63/1.86 % (22700)------------------------------
% 1.63/1.86 % (22700)------------------------------
% 1.63/1.86 % (22822)Refutation not found, incomplete strategy
% 1.63/1.86 % (22822)------------------------------
% 1.63/1.86 % (22822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.86 % (22822)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.86
% 1.63/1.86
% 1.63/1.86 % (22822)Memory used [KB]: 5628
% 1.63/1.86 % (22822)Time elapsed: 0.012 s
% 1.63/1.86 % (22822)Instructions burned: 40 (million)
% 1.63/1.86 % (22822)------------------------------
% 1.63/1.86 % (22822)------------------------------
% 1.63/1.86 % (22827)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/187Mi)
% 1.63/1.87 % (22828)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/371Mi)
% 1.63/1.87 % (22828)Refutation not found, incomplete strategy
% 1.63/1.87 % (22828)------------------------------
% 1.63/1.87 % (22828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.87 % (22828)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.87
% 1.63/1.87
% 1.63/1.87 % (22828)Memory used [KB]: 5500
% 1.63/1.87 % (22828)Time elapsed: 0.003 s
% 1.63/1.87 % (22828)Instructions burned: 5 (million)
% 1.63/1.87 % (22828)------------------------------
% 1.63/1.87 % (22828)------------------------------
% 1.63/1.87 % (22827)Refutation not found, incomplete strategy
% 1.63/1.87 % (22827)------------------------------
% 1.63/1.87 % (22827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.87 % (22827)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.87
% 1.63/1.87
% 1.63/1.87 % (22827)Memory used [KB]: 5628
% 1.63/1.87 % (22827)Time elapsed: 0.007 s
% 1.63/1.87 % (22827)Instructions burned: 19 (million)
% 1.63/1.87 % (22827)------------------------------
% 1.63/1.87 % (22827)------------------------------
% 1.63/1.87 % (22833)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/1827Mi)
% 1.63/1.87 % (22802)Refutation not found, incomplete strategy
% 1.63/1.87 % (22802)------------------------------
% 1.63/1.87 % (22802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.87 % (22802)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.87
% 1.63/1.87
% 1.63/1.87 % (22802)Memory used [KB]: 5884
% 1.63/1.87 % (22802)Time elapsed: 0.096 s
% 1.63/1.87 % (22802)Instructions burned: 233 (million)
% 1.63/1.87 % (22802)------------------------------
% 1.63/1.87 % (22802)------------------------------
% 1.63/1.88 % (22836)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/70Mi)
% 1.63/1.88 % (22837)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/316Mi)
% 1.63/1.88 % (22838)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/932Mi)
% 1.63/1.88 % (22837)Refutation not found, incomplete strategy
% 1.63/1.88 % (22837)------------------------------
% 1.63/1.88 % (22837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.88 % (22837)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.88
% 1.63/1.88
% 1.63/1.88 % (22837)Memory used [KB]: 5628
% 1.63/1.88 % (22837)Time elapsed: 0.006 s
% 1.63/1.88 % (22837)Instructions burned: 18 (million)
% 1.63/1.88 % (22837)------------------------------
% 1.63/1.88 % (22837)------------------------------
% 1.63/1.89 % (22842)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_22374 for (2994ds/4714Mi)
% 1.63/1.90 % (22836)Instruction limit reached!
% 1.63/1.90 % (22836)------------------------------
% 1.63/1.90 % (22836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.90 % (22836)Termination reason: Unknown
% 1.63/1.90 % (22836)Termination phase: Saturation
% 1.63/1.90
% 1.63/1.90 % (22836)Memory used [KB]: 1535
% 1.63/1.90 % (22836)Time elapsed: 0.021 s
% 1.63/1.90 % (22836)Instructions burned: 71 (million)
% 1.63/1.90 % (22836)------------------------------
% 1.63/1.90 % (22836)------------------------------
% 1.63/1.90 % (22842)Refutation not found, incomplete strategy
% 1.63/1.90 % (22842)------------------------------
% 1.63/1.90 % (22842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.90 % (22842)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.90
% 1.63/1.90
% 1.63/1.90 % (22842)Memory used [KB]: 5628
% 1.63/1.90 % (22842)Time elapsed: 0.007 s
% 1.63/1.90 % (22842)Instructions burned: 20 (million)
% 1.63/1.90 % (22842)------------------------------
% 1.63/1.90 % (22842)------------------------------
% 1.63/1.91 % (22846)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_22374 for (2993ds/8250Mi)
% 1.63/1.91 % (22849)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_22374 for (2993ds/770Mi)
% 1.63/1.91 % (22849)Refutation not found, incomplete strategy
% 1.63/1.91 % (22849)------------------------------
% 1.63/1.91 % (22849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.91 % (22849)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.91
% 1.63/1.91
% 1.63/1.91 % (22849)Memory used [KB]: 5500
% 1.63/1.91 % (22849)Time elapsed: 0.002 s
% 1.63/1.91 % (22849)Instructions burned: 3 (million)
% 1.63/1.91 % (22849)------------------------------
% 1.63/1.91 % (22849)------------------------------
% 1.63/1.92 % (22833)Refutation not found, incomplete strategy
% 1.63/1.92 % (22833)------------------------------
% 1.63/1.92 % (22833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.92 % (22833)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.92
% 1.63/1.92
% 1.63/1.92 % (22833)Memory used [KB]: 5884
% 1.63/1.92 % (22833)Time elapsed: 0.046 s
% 1.63/1.92 % (22833)Instructions burned: 142 (million)
% 1.63/1.92 % (22833)------------------------------
% 1.63/1.92 % (22833)------------------------------
% 1.63/1.92 % (22856)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_22374 for (2993ds/794Mi)
% 1.63/1.93 % (22860)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_22374 for (2993ds/464Mi)
% 1.63/1.93 % (22860)Refutation not found, incomplete strategy
% 1.63/1.93 % (22860)------------------------------
% 1.63/1.93 % (22860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.93 % (22860)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.93
% 1.63/1.93
% 1.63/1.93 % (22860)Memory used [KB]: 5628
% 1.63/1.93 % (22860)Time elapsed: 0.004 s
% 1.63/1.93 % (22860)Instructions burned: 9 (million)
% 1.63/1.93 % (22860)------------------------------
% 1.63/1.93 % (22860)------------------------------
% 1.63/1.94 % (22869)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_22374 for (2993ds/1376Mi)
% 1.63/1.98 % (22846)Refutation not found, incomplete strategy
% 1.63/1.98 % (22846)------------------------------
% 1.63/1.98 % (22846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.98 % (22846)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.98
% 1.63/1.98
% 1.63/1.98 % (22846)Memory used [KB]: 6012
% 1.63/1.98 % (22846)Time elapsed: 0.078 s
% 1.63/1.98 % (22846)Instructions burned: 248 (million)
% 1.63/1.98 % (22846)------------------------------
% 1.63/1.98 % (22846)------------------------------
% 1.63/1.99 % (22888)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_22374 for (2993ds/906Mi)
% 6.58/2.02 % (22749)Instruction limit reached!
% 6.58/2.02 % (22749)------------------------------
% 6.58/2.02 % (22749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.58/2.02 % (22749)Termination reason: Unknown
% 6.58/2.02 % (22749)Termination phase: Saturation
% 6.58/2.02
% 6.58/2.02 % (22749)Memory used [KB]: 9338
% 6.58/2.02 % (22749)Time elapsed: 0.321 s
% 6.58/2.02 % (22749)Instructions burned: 1022 (million)
% 6.58/2.02 % (22749)------------------------------
% 6.58/2.02 % (22749)------------------------------
% 6.58/2.03 % (22816)Instruction limit reached!
% 6.58/2.03 % (22816)------------------------------
% 6.58/2.03 % (22816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.58/2.03 % (22816)Termination reason: Unknown
% 6.58/2.03 % (22816)Termination phase: Saturation
% 6.58/2.03
% 6.58/2.03 % (22816)Memory used [KB]: 10618
% 6.58/2.03 % (22816)Time elapsed: 0.194 s
% 6.58/2.03 % (22816)Instructions burned: 671 (million)
% 6.58/2.03 % (22816)------------------------------
% 6.58/2.03 % (22816)------------------------------
% 6.58/2.03 % (22889)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_22374 for (2992ds/434Mi)
% 6.58/2.03 % (22889)Refutation not found, incomplete strategy
% 6.58/2.03 % (22889)------------------------------
% 6.58/2.03 % (22889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.58/2.03 % (22889)Termination reason: Refutation not found, incomplete strategy
% 6.58/2.03
% 6.58/2.03
% 6.58/2.03 % (22889)Memory used [KB]: 5500
% 6.58/2.03 % (22889)Time elapsed: 0.002 s
% 6.58/2.03 % (22889)Instructions burned: 3 (million)
% 6.58/2.03 % (22889)------------------------------
% 6.58/2.03 % (22889)------------------------------
% 6.58/2.04 % (22890)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_22374 for (2992ds/865Mi)
% 6.58/2.04 % (22891)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_22374 for (2992ds/593Mi)
% 7.13/2.15 % (22838)Instruction limit reached!
% 7.13/2.15 % (22838)------------------------------
% 7.13/2.15 % (22838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.13/2.15 % (22838)Termination reason: Unknown
% 7.13/2.15 % (22838)Termination phase: Saturation
% 7.13/2.15
% 7.13/2.15 % (22838)Memory used [KB]: 7291
% 7.13/2.15 % (22838)Time elapsed: 0.264 s
% 7.13/2.15 % (22838)Instructions burned: 934 (million)
% 7.13/2.15 % (22838)------------------------------
% 7.13/2.15 % (22838)------------------------------
% 7.13/2.16 % (22892)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_22374 for (2991ds/443Mi)
% 7.13/2.16 % (22856)Instruction limit reached!
% 7.13/2.16 % (22856)------------------------------
% 7.13/2.16 % (22856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.13/2.16 % (22856)Termination reason: Unknown
% 7.13/2.16 % (22856)Termination phase: Saturation
% 7.13/2.16
% 7.13/2.16 % (22856)Memory used [KB]: 2046
% 7.13/2.16 % (22856)Time elapsed: 0.241 s
% 7.13/2.16 % (22856)Instructions burned: 796 (million)
% 7.13/2.16 % (22856)------------------------------
% 7.13/2.16 % (22856)------------------------------
% 7.13/2.17 % (22893)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_22374 for (2991ds/594Mi)
% 7.13/2.17 % (22893)Refutation not found, incomplete strategy
% 7.13/2.17 % (22893)------------------------------
% 7.13/2.17 % (22893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.13/2.17 % (22893)Termination reason: Refutation not found, incomplete strategy
% 7.13/2.17
% 7.13/2.17
% 7.13/2.17 % (22893)Memory used [KB]: 5500
% 7.13/2.17 % (22893)Time elapsed: 0.004 s
% 7.13/2.17 % (22893)Instructions burned: 10 (million)
% 7.13/2.17 % (22893)------------------------------
% 7.13/2.17 % (22893)------------------------------
% 7.13/2.18 % (22894)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_22374 for (2991ds/327Mi)
% 7.51/2.24 % (22891)Instruction limit reached!
% 7.51/2.24 % (22891)------------------------------
% 7.51/2.24 % (22891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.24 % (22891)Termination reason: Unknown
% 7.51/2.24 % (22891)Termination phase: Saturation
% 7.51/2.24
% 7.51/2.24 % (22891)Memory used [KB]: 6652
% 7.51/2.24 % (22891)Time elapsed: 0.215 s
% 7.51/2.24 % (22891)Instructions burned: 596 (million)
% 7.51/2.24 % (22891)------------------------------
% 7.51/2.24 % (22891)------------------------------
% 7.51/2.25 % (22895)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/5411Mi)
% 7.51/2.25 % (22895)Refutation not found, incomplete strategy
% 7.51/2.25 % (22895)------------------------------
% 7.51/2.25 % (22895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.25 % (22895)Termination reason: Refutation not found, incomplete strategy
% 7.51/2.25
% 7.51/2.25
% 7.51/2.25 % (22895)Memory used [KB]: 5500
% 7.51/2.25 % (22895)Time elapsed: 0.002 s
% 7.51/2.25 % (22895)Instructions burned: 3 (million)
% 7.51/2.25 % (22895)------------------------------
% 7.51/2.25 % (22895)------------------------------
% 7.51/2.26 % (22896)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/1762Mi)
% 7.51/2.27 % (22896)Refutation not found, incomplete strategy
% 7.51/2.27 % (22896)------------------------------
% 7.51/2.27 % (22896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.27 % (22896)Termination reason: Refutation not found, incomplete strategy
% 7.51/2.27
% 7.51/2.27
% 7.51/2.27 % (22896)Memory used [KB]: 5756
% 7.51/2.27 % (22896)Time elapsed: 0.014 s
% 7.51/2.27 % (22896)Instructions burned: 46 (million)
% 7.51/2.27 % (22896)------------------------------
% 7.51/2.27 % (22896)------------------------------
% 7.51/2.28 % (22897)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/96Mi)
% 7.51/2.28 % (22888)Instruction limit reached!
% 7.51/2.28 % (22888)------------------------------
% 7.51/2.28 % (22888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.28 % (22888)Termination reason: Unknown
% 7.51/2.28 % (22888)Termination phase: Saturation
% 7.51/2.28
% 7.51/2.28 % (22888)Memory used [KB]: 8827
% 7.51/2.28 % (22888)Time elapsed: 0.287 s
% 7.51/2.28 % (22888)Instructions burned: 908 (million)
% 7.51/2.28 % (22888)------------------------------
% 7.51/2.28 % (22888)------------------------------
% 7.51/2.28 % (22894)Instruction limit reached!
% 7.51/2.28 % (22894)------------------------------
% 7.51/2.28 % (22894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.28 % (22894)Termination reason: Unknown
% 7.51/2.28 % (22894)Termination phase: Saturation
% 7.51/2.28
% 7.51/2.28 % (22894)Memory used [KB]: 6012
% 7.51/2.28 % (22894)Time elapsed: 0.099 s
% 7.51/2.28 % (22894)Instructions burned: 327 (million)
% 7.51/2.28 % (22894)------------------------------
% 7.51/2.28 % (22894)------------------------------
% 7.51/2.29 % (22898)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/503Mi)
% 7.51/2.29 % (22892)Instruction limit reached!
% 7.51/2.29 % (22892)------------------------------
% 7.51/2.29 % (22892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.29 % (22892)Termination reason: Unknown
% 7.51/2.29 % (22892)Termination phase: Saturation
% 7.51/2.29
% 7.51/2.29 % (22892)Memory used [KB]: 7291
% 7.51/2.29 % (22892)Time elapsed: 0.135 s
% 7.51/2.29 % (22892)Instructions burned: 444 (million)
% 7.51/2.29 % (22892)------------------------------
% 7.51/2.29 % (22892)------------------------------
% 7.51/2.29 % (22899)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/90Mi)
% 7.51/2.29 % (22898)Refutation not found, incomplete strategy
% 7.51/2.29 % (22898)------------------------------
% 7.51/2.29 % (22898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.51/2.29 % (22898)Termination reason: Refutation not found, incomplete strategy
% 7.51/2.29
% 7.51/2.29
% 7.51/2.29 % (22898)Memory used [KB]: 5500
% 7.51/2.29 % (22898)Time elapsed: 0.002 s
% 7.51/2.29 % (22898)Instructions burned: 3 (million)
% 7.51/2.29 % (22898)------------------------------
% 7.51/2.29 % (22898)------------------------------
% 8.30/2.30 % (22900)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/593Mi)
% 8.30/2.30 % (22901)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_22374 for (2990ds/1512Mi)
% 8.30/2.30 % (22890)Instruction limit reached!
% 8.30/2.30 % (22890)------------------------------
% 8.30/2.30 % (22890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.30 % (22890)Termination reason: Unknown
% 8.30/2.30 % (22890)Termination phase: Saturation
% 8.30/2.30
% 8.30/2.30 % (22890)Memory used [KB]: 7164
% 8.30/2.30 % (22890)Time elapsed: 0.285 s
% 8.30/2.30 % (22890)Instructions burned: 865 (million)
% 8.30/2.30 % (22890)------------------------------
% 8.30/2.30 % (22890)------------------------------
% 8.30/2.30 % (22901)Refutation not found, incomplete strategy
% 8.30/2.30 % (22901)------------------------------
% 8.30/2.30 % (22901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.30 % (22901)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.30
% 8.30/2.30
% 8.30/2.30 % (22901)Memory used [KB]: 5500
% 8.30/2.30 % (22901)Time elapsed: 0.003 s
% 8.30/2.30 % (22901)Instructions burned: 6 (million)
% 8.30/2.30 % (22901)------------------------------
% 8.30/2.30 % (22901)------------------------------
% 8.30/2.30 % (22773)Instruction limit reached!
% 8.30/2.30 % (22773)------------------------------
% 8.30/2.30 % (22773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.30 % (22773)Termination reason: Unknown
% 8.30/2.30 % (22773)Termination phase: Saturation
% 8.30/2.30
% 8.30/2.30 % (22773)Memory used [KB]: 8059
% 8.30/2.30 % (22773)Time elapsed: 0.580 s
% 8.30/2.30 % (22773)Instructions burned: 1539 (million)
% 8.30/2.30 % (22773)------------------------------
% 8.30/2.30 % (22773)------------------------------
% 8.30/2.31 % (22897)Instruction limit reached!
% 8.30/2.31 % (22897)------------------------------
% 8.30/2.31 % (22897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.31 % (22897)Termination reason: Unknown
% 8.30/2.31 % (22897)Termination phase: Saturation
% 8.30/2.31
% 8.30/2.31 % (22897)Memory used [KB]: 5884
% 8.30/2.31 % (22897)Time elapsed: 0.031 s
% 8.30/2.31 % (22897)Instructions burned: 98 (million)
% 8.30/2.31 % (22897)------------------------------
% 8.30/2.31 % (22897)------------------------------
% 8.30/2.31 % (22902)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/569Mi)
% 8.30/2.31 % (22903)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/501Mi)
% 8.30/2.31 % (22904)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/562Mi)
% 8.30/2.32 % (22903)Refutation not found, incomplete strategy
% 8.30/2.32 % (22903)------------------------------
% 8.30/2.32 % (22903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.32 % (22903)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.32
% 8.30/2.32
% 8.30/2.32 % (22903)Memory used [KB]: 5500
% 8.30/2.32 % (22903)Time elapsed: 0.003 s
% 8.30/2.32 % (22903)Instructions burned: 7 (million)
% 8.30/2.32 % (22903)------------------------------
% 8.30/2.32 % (22903)------------------------------
% 8.30/2.32 % (22905)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/406Mi)
% 8.30/2.32 % (22899)Instruction limit reached!
% 8.30/2.32 % (22899)------------------------------
% 8.30/2.32 % (22899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.32 % (22899)Termination reason: Unknown
% 8.30/2.32 % (22899)Termination phase: Saturation
% 8.30/2.32
% 8.30/2.32 % (22899)Memory used [KB]: 5884
% 8.30/2.32 % (22899)Time elapsed: 0.031 s
% 8.30/2.32 % (22899)Instructions burned: 91 (million)
% 8.30/2.32 % (22899)------------------------------
% 8.30/2.32 % (22899)------------------------------
% 8.30/2.32 % (22906)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/582Mi)
% 8.30/2.33 % (22906)Refutation not found, incomplete strategy
% 8.30/2.33 % (22906)------------------------------
% 8.30/2.33 % (22906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.33 % (22906)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.33
% 8.30/2.33
% 8.30/2.33 % (22906)Memory used [KB]: 5500
% 8.30/2.33 % (22906)Time elapsed: 0.003 s
% 8.30/2.33 % (22906)Instructions burned: 6 (million)
% 8.30/2.33 % (22906)------------------------------
% 8.30/2.33 % (22906)------------------------------
% 8.30/2.33 % (22869)Instruction limit reached!
% 8.30/2.33 % (22869)------------------------------
% 8.30/2.33 % (22869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.33 % (22869)Termination reason: Unknown
% 8.30/2.33 % (22869)Termination phase: Saturation
% 8.30/2.33
% 8.30/2.33 % (22869)Memory used [KB]: 11513
% 8.30/2.33 % (22869)Time elapsed: 0.388 s
% 8.30/2.33 % (22869)Instructions burned: 1376 (million)
% 8.30/2.33 % (22869)------------------------------
% 8.30/2.33 % (22869)------------------------------
% 8.30/2.33 % (22907)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/456Mi)
% 8.30/2.33 % (22907)Refutation not found, incomplete strategy
% 8.30/2.33 % (22907)------------------------------
% 8.30/2.33 % (22907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.33 % (22907)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.33
% 8.30/2.33
% 8.30/2.33 % (22907)Memory used [KB]: 5500
% 8.30/2.33 % (22907)Time elapsed: 0.003 s
% 8.30/2.33 % (22907)Instructions burned: 6 (million)
% 8.30/2.33 % (22907)------------------------------
% 8.30/2.33 % (22907)------------------------------
% 8.30/2.33 % (22905)Refutation not found, incomplete strategy
% 8.30/2.33 % (22905)------------------------------
% 8.30/2.33 % (22905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.33 % (22905)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.33
% 8.30/2.33
% 8.30/2.33 % (22905)Memory used [KB]: 5756
% 8.30/2.33 % (22905)Time elapsed: 0.014 s
% 8.30/2.33 % (22905)Instructions burned: 38 (million)
% 8.30/2.33 % (22905)------------------------------
% 8.30/2.33 % (22905)------------------------------
% 8.30/2.34 % (22908)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/393Mi)
% 8.30/2.34 % (22909)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/1335Mi)
% 8.30/2.34 % (22909)Refutation not found, incomplete strategy
% 8.30/2.34 % (22909)------------------------------
% 8.30/2.34 % (22909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.34 % (22909)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.34
% 8.30/2.34
% 8.30/2.34 % (22909)Memory used [KB]: 5500
% 8.30/2.34 % (22909)Time elapsed: 0.002 s
% 8.30/2.34 % (22909)Instructions burned: 3 (million)
% 8.30/2.34 % (22909)------------------------------
% 8.30/2.34 % (22909)------------------------------
% 8.30/2.34 % (22910)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/3373Mi)
% 8.30/2.34 % (22911)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/474Mi)
% 8.30/2.35 % (22910)Refutation not found, incomplete strategy
% 8.30/2.35 % (22910)------------------------------
% 8.30/2.35 % (22910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.35 % (22910)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.35
% 8.30/2.35
% 8.30/2.35 % (22910)Memory used [KB]: 5628
% 8.30/2.35 % (22910)Time elapsed: 0.005 s
% 8.30/2.35 % (22910)Instructions burned: 11 (million)
% 8.30/2.35 % (22910)------------------------------
% 8.30/2.35 % (22910)------------------------------
% 8.30/2.35 % (22912)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/157Mi)
% 8.30/2.36 % (22913)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/590Mi)
% 8.30/2.38 % (22911)Refutation not found, incomplete strategy
% 8.30/2.38 % (22911)------------------------------
% 8.30/2.38 % (22911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.38 % (22911)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.38
% 8.30/2.38
% 8.30/2.38 % (22911)Memory used [KB]: 5756
% 8.30/2.38 % (22911)Time elapsed: 0.038 s
% 8.30/2.38 % (22911)Instructions burned: 124 (million)
% 8.30/2.38 % (22911)------------------------------
% 8.30/2.38 % (22911)------------------------------
% 8.30/2.39 % (22914)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/104Mi)
% 8.30/2.39 % (22914)Refutation not found, incomplete strategy
% 8.30/2.39 % (22914)------------------------------
% 8.30/2.39 % (22914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.30/2.39 % (22914)Termination reason: Refutation not found, incomplete strategy
% 8.30/2.39
% 8.30/2.39
% 8.30/2.39 % (22914)Memory used [KB]: 5500
% 8.30/2.39 % (22914)Time elapsed: 0.003 s
% 8.30/2.39 % (22914)Instructions burned: 6 (million)
% 8.30/2.39 % (22914)------------------------------
% 8.30/2.39 % (22914)------------------------------
% 8.86/2.40 % (22912)Instruction limit reached!
% 8.86/2.40 % (22912)------------------------------
% 8.86/2.40 % (22912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.40 % (22912)Termination reason: Unknown
% 8.86/2.40 % (22912)Termination phase: Saturation
% 8.86/2.40
% 8.86/2.40 % (22912)Memory used [KB]: 6012
% 8.86/2.40 % (22912)Time elapsed: 0.049 s
% 8.86/2.40 % (22912)Instructions burned: 158 (million)
% 8.86/2.40 % (22912)------------------------------
% 8.86/2.40 % (22912)------------------------------
% 8.86/2.40 % (22915)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/414Mi)
% 8.86/2.41 % (22916)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_22374 for (2989ds/715Mi)
% 8.86/2.41 % (22915)Refutation not found, incomplete strategy
% 8.86/2.41 % (22915)------------------------------
% 8.86/2.41 % (22915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.41 % (22915)Termination reason: Refutation not found, incomplete strategy
% 8.86/2.41
% 8.86/2.41
% 8.86/2.41 % (22915)Memory used [KB]: 5628
% 8.86/2.41 % (22915)Time elapsed: 0.009 s
% 8.86/2.41 % (22915)Instructions burned: 27 (million)
% 8.86/2.41 % (22915)------------------------------
% 8.86/2.41 % (22915)------------------------------
% 8.86/2.42 % (22917)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_22374 for (2988ds/961Mi)
% 8.86/2.42 % (22917)Refutation not found, incomplete strategy
% 8.86/2.42 % (22917)------------------------------
% 8.86/2.42 % (22917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.42 % (22917)Termination reason: Refutation not found, incomplete strategy
% 8.86/2.42
% 8.86/2.42
% 8.86/2.42 % (22917)Memory used [KB]: 5628
% 8.86/2.42 % (22917)Time elapsed: 0.005 s
% 8.86/2.42 % (22917)Instructions burned: 13 (million)
% 8.86/2.42 % (22917)------------------------------
% 8.86/2.42 % (22917)------------------------------
% 8.86/2.43 % (22918)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_22374 for (2988ds/1213Mi)
% 8.86/2.45 % (22900)First to succeed.
% 8.86/2.45 % (22900)Refutation found. Thanks to Tanya!
% 8.86/2.45 % SZS status Theorem for DTF2THF_22374
% 8.86/2.45 % SZS output start Proof for DTF2THF_22374
% 8.86/2.45 thf(func_def_0, type, eps: ($i > $o) > $i).
% 8.86/2.45 thf(func_def_2, type, case: ($o > $o) > $i > $i > $i > $i > $i).
% 8.86/2.45 thf(func_def_4, type, f0: $o > $o).
% 8.86/2.45 thf(func_def_5, type, f1: $o > $o).
% 8.86/2.45 thf(func_def_6, type, f2: $o > $o).
% 8.86/2.45 thf(func_def_7, type, f3: $o > $o).
% 8.86/2.45 thf(func_def_25, type, ph5: !>[X0: $tType]:(X0)).
% 8.86/2.45 thf(func_def_26, type, sK6: $i > $i > $i).
% 8.86/2.45 thf(func_def_27, type, sK7: $i > $i).
% 8.86/2.45 thf(func_def_28, type, sK8: $i > $i).
% 8.86/2.45 thf(func_def_29, type, sK9: $i > $i).
% 8.86/2.45 thf(func_def_30, type, sK10: $i > ($i > $o) > $i).
% 8.86/2.45 thf(func_def_31, type, sK11: $i > $i).
% 8.86/2.45 thf(func_def_32, type, sK12: $i > $i).
% 8.86/2.45 thf(func_def_42, type, sK22: $i > $i).
% 8.86/2.45 thf(func_def_52, type, sK32: $i > $i).
% 8.86/2.45 thf(func_def_64, type, sK44: $i > $i).
% 8.86/2.45 thf(func_def_66, type, sK46: $i > $i).
% 8.86/2.45 thf(func_def_69, type, sK49: $i > $i).
% 8.86/2.45 thf(f4835,plain,(
% 8.86/2.45 $false),
% 8.86/2.45 inference(avatar_sat_refutation,[status(thm)],[f60,f276,f284,f428,f480,f882,f918,f1094,f1130,f1207,f1442,f1451,f1967,f1985,f2095,f2214,f2416,f2686,f2778,f2799,f2801,f2865,f2939,f3253,f3257,f3266,f3287,f3360,f3369,f3373,f3378,f3387,f3441,f3491,f3499,f3503,f3538,f3660,f3683,f4064,f4390,f4440,f4772,f4801,f4805,f4824,f4834])).
% 8.86/2.45 thf(f4834,plain,(
% 8.86/2.45 ~spl4_77 | ~spl4_78 | spl4_171),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f4833])).
% 8.86/2.45 thf(f4833,plain,(
% 8.86/2.45 $false | (~spl4_77 | ~spl4_78 | spl4_171)),
% 8.86/2.45 inference(subsumption_resolution,[status(thm)],[f4466,f1062])).
% 8.86/2.45 thf(f1062,plain,(
% 8.86/2.45 (~ = f3) | ~spl4_78),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1060])).
% 8.86/2.45 thf(f1060,definition,(
% 8.86/2.45 spl4_78 <=> (~ = f3)),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_78])],[avatar_definition])).
% 8.86/2.45 thf(f4466,plain,(
% 8.86/2.45 (~ != f3) | (~spl4_77 | spl4_171)),
% 8.86/2.45 inference(superposition,[status(thm)],[f3454,f1057])).
% 8.86/2.45 thf(f1057,plain,(
% 8.86/2.45 (f3 = (^[Y0 : $o]: ($true))) | ~spl4_77),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1055])).
% 8.86/2.45 thf(f1055,definition,(
% 8.86/2.45 spl4_77 <=> (f3 = (^[Y0 : $o]: ($true)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_77])],[avatar_definition])).
% 8.86/2.45 thf(f3454,plain,(
% 8.86/2.45 (~ != (^[Y0 : $o]: ($true))) | spl4_171),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f3452])).
% 8.86/2.45 thf(f3452,definition,(
% 8.86/2.45 spl4_171 <=> (~ = (^[Y0 : $o]: ($true)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_171])],[avatar_definition])).
% 8.86/2.45 thf(f4824,plain,(
% 8.86/2.45 ~spl4_95 | ~spl4_202),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f4823])).
% 8.86/2.45 thf(f4823,plain,(
% 8.86/2.45 $false | (~spl4_95 | ~spl4_202)),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f4822])).
% 8.86/2.45 thf(f4822,plain,(
% 8.86/2.45 (sK1 != sK1) | (~spl4_95 | ~spl4_202)),
% 8.86/2.45 inference(duplicate_literal_removal,[status(thm)],[f4818])).
% 8.86/2.45 thf(f4818,plain,(
% 8.86/2.45 (sK1 != sK1) | (sK1 != sK1) | (sK1 != sK1) | (~spl4_95 | ~spl4_202)),
% 8.86/2.45 inference(superposition,[status(thm)],[f1129,f4759])).
% 8.86/2.45 thf(f4759,plain,(
% 8.86/2.45 (sK1 = (sK12 @ sK1)) | ~spl4_202),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f4757])).
% 8.86/2.45 thf(f4757,definition,(
% 8.86/2.45 spl4_202 <=> (sK1 = (sK12 @ sK1))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_202])],[avatar_definition])).
% 8.86/2.45 thf(f1129,plain,(
% 8.86/2.45 ( ! [X0 : $i] : ((sK1 != (sK12 @ X0)) | (sK1 != X0) | ((sK12 @ X0) != X0)) ) | ~spl4_95),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1128])).
% 8.86/2.45 thf(f1128,definition,(
% 8.86/2.45 spl4_95 <=> ! [X0 : $i] : (((sK12 @ X0) != X0) | (sK1 != (sK12 @ X0)) | (sK1 != X0))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_95])],[avatar_definition])).
% 8.86/2.45 thf(f4805,plain,(
% 8.86/2.45 spl4_205 | ~spl4_38 | ~spl4_84),
% 8.86/2.45 inference(avatar_split_clause,[status(thm)],[f4804,f1084,f442,f4781])).
% 8.86/2.45 thf(f4781,definition,(
% 8.86/2.45 spl4_205 <=> (f0 = f3)),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_205])],[avatar_definition])).
% 8.86/2.45 thf(f442,definition,(
% 8.86/2.45 spl4_38 <=> (f0 = (^[Y0 : $o]: ($false)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_38])],[avatar_definition])).
% 8.86/2.45 thf(f1084,definition,(
% 8.86/2.45 spl4_84 <=> (f3 = (^[Y0 : $o]: ($false)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_84])],[avatar_definition])).
% 8.86/2.45 thf(f4804,plain,(
% 8.86/2.45 (f0 = f3) | (~spl4_38 | ~spl4_84)),
% 8.86/2.45 inference(forward_demodulation,[status(thm)],[f1086,f444])).
% 8.86/2.45 thf(f444,plain,(
% 8.86/2.45 (f0 = (^[Y0 : $o]: ($false))) | ~spl4_38),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f442])).
% 8.86/2.45 thf(f1086,plain,(
% 8.86/2.45 (f3 = (^[Y0 : $o]: ($false))) | ~spl4_84),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1084])).
% 8.86/2.45 thf(f4801,plain,(
% 8.86/2.45 ~spl4_205 | spl4_31 | ~spl4_77),
% 8.86/2.45 inference(avatar_split_clause,[status(thm)],[f4464,f1055,f413,f4781])).
% 8.86/2.45 thf(f413,definition,(
% 8.86/2.45 spl4_31 <=> (f0 = (^[Y0 : $o]: ($true)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_31])],[avatar_definition])).
% 8.86/2.45 thf(f4464,plain,(
% 8.86/2.45 (f0 != f3) | (spl4_31 | ~spl4_77)),
% 8.86/2.45 inference(superposition,[status(thm)],[f414,f1057])).
% 8.86/2.45 thf(f414,plain,(
% 8.86/2.45 (f0 != (^[Y0 : $o]: ($true))) | spl4_31),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f413])).
% 8.86/2.45 thf(f4772,plain,(
% 8.86/2.45 spl4_202 | ~spl4_86),
% 8.86/2.45 inference(avatar_split_clause,[status(thm)],[f4771,f1092,f4757])).
% 8.86/2.45 thf(f1092,definition,(
% 8.86/2.45 spl4_86 <=> ! [X0 : $i] : (((sK12 @ X0) = X0) | (sK1 != X0) | (sK1 = (sK12 @ X0)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_86])],[avatar_definition])).
% 8.86/2.45 thf(f4771,plain,(
% 8.86/2.45 (sK1 = (sK12 @ sK1)) | ~spl4_86),
% 8.86/2.45 inference(duplicate_literal_removal,[status(thm)],[f4770])).
% 8.86/2.45 thf(f4770,plain,(
% 8.86/2.45 (sK1 = (sK12 @ sK1)) | (sK1 = (sK12 @ sK1)) | ~spl4_86),
% 8.86/2.45 inference(equality_resolution,[status(thm)],[f1093])).
% 8.86/2.45 thf(f1093,plain,(
% 8.86/2.45 ( ! [X0 : $i] : ((sK1 != X0) | (sK1 = (sK12 @ X0)) | ((sK12 @ X0) = X0)) ) | ~spl4_86),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1092])).
% 8.86/2.45 thf(f4440,plain,(
% 8.86/2.45 spl4_77 | ~spl4_104),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f4439])).
% 8.86/2.45 thf(f4439,plain,(
% 8.86/2.45 $false | (spl4_77 | ~spl4_104)),
% 8.86/2.45 inference(subsumption_resolution,[status(thm)],[f4434,f4435])).
% 8.86/2.45 thf(f4435,plain,(
% 8.86/2.45 (sK48 = $false) | (spl4_77 | ~spl4_104)),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f4424])).
% 8.86/2.45 thf(f4424,plain,(
% 8.86/2.45 ($true != $true) | (sK48 = $false) | (spl4_77 | ~spl4_104)),
% 8.86/2.45 inference(superposition,[status(thm)],[f4422,f3583])).
% 8.86/2.45 thf(f3583,plain,(
% 8.86/2.45 ( ! [X0 : $o] : (((f3 @ X0) = $true) | ($false = X0)) ) | ~spl4_104),
% 8.86/2.45 inference(duplicate_literal_removal,[status(thm)],[f3581])).
% 8.86/2.45 thf(f3581,plain,(
% 8.86/2.45 ( ! [X0 : $o] : (($false = X0) | ($false = X0) | ((f3 @ X0) = $true)) ) | ~spl4_104),
% 8.86/2.45 inference(binary_proxy_clausification,[status(thm)],[f3580])).
% 8.86/2.45 thf(f3580,plain,(
% 8.86/2.45 ( ! [X0 : $o] : (((f3 @ X0) = X0) | ($false = X0)) ) | ~spl4_104),
% 8.86/2.45 inference(superposition,[status(thm)],[f33,f1220])).
% 8.86/2.45 thf(f1220,plain,(
% 8.86/2.45 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl4_104),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1219])).
% 8.86/2.45 thf(f1219,definition,(
% 8.86/2.45 spl4_104 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_104])],[avatar_definition])).
% 8.86/2.45 thf(f33,plain,(
% 8.86/2.45 ((f3 @ $true) = $true)),
% 8.86/2.45 inference(cnf_transformation,[status(thm)],[f14])).
% 8.86/2.45 thf(f14,plain,(
% 8.86/2.45 ((f3 @ $true) = $true)),
% 8.86/2.45 inference(fool_elimination,[status(thm)],[f10])).
% 8.86/2.45 thf(f10,axiom,(
% 8.86/2.45 ((f3 @ $true) = $true)),
% 8.86/2.45 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f3t)).
% 8.86/2.45 thf(f4422,plain,(
% 8.86/2.45 ((f3 @ sK48) != $true) | spl4_77),
% 8.86/2.45 inference(beta_eta_normalization,[status(thm)],[f4418])).
% 8.86/2.45 thf(f4418,plain,(
% 8.86/2.45 ((f3 @ sK48) != ((^[Y0 : $o]: ($true)) @ sK48)) | spl4_77),
% 8.86/2.45 inference(negative_extensionality,[status(thm)],[f1056])).
% 8.86/2.45 thf(f1056,plain,(
% 8.86/2.45 (f3 != (^[Y0 : $o]: ($true))) | spl4_77),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1055])).
% 8.86/2.45 thf(f4434,plain,(
% 8.86/2.45 (sK48 != $false) | spl4_77),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f4427])).
% 8.86/2.45 thf(f4427,plain,(
% 8.86/2.45 ($true != $true) | (sK48 != $false) | spl4_77),
% 8.86/2.45 inference(constrained_superposition,[status(thm)],[f4422,f41])).
% 8.86/2.45 thf(f41,plain,(
% 8.86/2.45 ((f3 @ $false) = $true)),
% 8.86/2.45 inference(cnf_transformation,[status(thm)],[f24])).
% 8.86/2.45 thf(f24,plain,(
% 8.86/2.45 ((f3 @ $false) = $true)),
% 8.86/2.45 inference(fool_elimination,[status(thm)],[f9])).
% 8.86/2.45 thf(f9,axiom,(
% 8.86/2.45 ($true = (f3 @ $false))),
% 8.86/2.45 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f3f)).
% 8.86/2.45 thf(f4390,plain,(
% 8.86/2.45 ~spl4_7),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f4389])).
% 8.86/2.45 thf(f4389,plain,(
% 8.86/2.45 $false | ~spl4_7),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f4381])).
% 8.86/2.45 thf(f4381,plain,(
% 8.86/2.45 ($true = $false) | ~spl4_7),
% 8.86/2.45 inference(superposition,[status(thm)],[f4370,f39])).
% 8.86/2.45 thf(f39,plain,(
% 8.86/2.45 ((f2 @ $false) = $false)),
% 8.86/2.45 inference(cnf_transformation,[status(thm)],[f17])).
% 8.86/2.45 thf(f17,plain,(
% 8.86/2.45 ((f2 @ $false) = $false)),
% 8.86/2.45 inference(fool_elimination,[status(thm)],[f7])).
% 8.86/2.45 thf(f7,axiom,(
% 8.86/2.45 ((f2 @ $false) = $false)),
% 8.86/2.45 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f2f)).
% 8.86/2.45 thf(f4370,plain,(
% 8.86/2.45 ( ! [X1 : $o] : (($true = (f2 @ X1))) ) | ~spl4_7),
% 8.86/2.45 inference(beta_eta_normalization,[status(thm)],[f4358])).
% 8.86/2.45 thf(f4358,plain,(
% 8.86/2.45 ( ! [X1 : $o] : ((((^[Y0 : $o]: ($true)) @ X1) = (f2 @ X1))) ) | ~spl4_7),
% 8.86/2.45 inference(argument_congruence,[status(thm)],[f212])).
% 8.86/2.45 thf(f212,plain,(
% 8.86/2.45 (f2 = (^[Y0 : $o]: ($true))) | ~spl4_7),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f210])).
% 8.86/2.45 thf(f210,definition,(
% 8.86/2.45 spl4_7 <=> (f2 = (^[Y0 : $o]: ($true)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_7])],[avatar_definition])).
% 8.86/2.45 thf(f4064,plain,(
% 8.86/2.45 ~spl4_5 | ~spl4_74),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f4063])).
% 8.86/2.45 thf(f4063,plain,(
% 8.86/2.45 $false | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f4062])).
% 8.86/2.45 thf(f4062,plain,(
% 8.86/2.45 ($true = $false) | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(forward_demodulation,[status(thm)],[f4050,f39])).
% 8.86/2.45 thf(f4050,plain,(
% 8.86/2.45 ((f2 @ $false) = $true) | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f4042])).
% 8.86/2.45 thf(f4042,plain,(
% 8.86/2.45 ((f2 @ $false) = $true) | ($true = $false) | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(superposition,[status(thm)],[f41,f3784])).
% 8.86/2.45 thf(f3784,plain,(
% 8.86/2.45 ( ! [X1 : $o] : (((f3 @ X1) = $false) | ($true = (f2 @ X1))) ) | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(binary_proxy_clausification,[status(thm)],[f3774])).
% 8.86/2.45 thf(f3774,plain,(
% 8.86/2.45 ( ! [X1 : $o] : (((f3 @ X1) = (f2 @ X1))) ) | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(argument_congruence,[status(thm)],[f3753])).
% 8.86/2.45 thf(f3753,plain,(
% 8.86/2.45 (f2 = f3) | (~spl4_5 | ~spl4_74)),
% 8.86/2.45 inference(forward_demodulation,[status(thm)],[f1046,f204])).
% 8.86/2.45 thf(f204,plain,(
% 8.86/2.45 (f2 = (^[Y0 : $o]: (Y0))) | ~spl4_5),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f202])).
% 8.86/2.45 thf(f202,definition,(
% 8.86/2.45 spl4_5 <=> (f2 = (^[Y0 : $o]: (Y0)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_5])],[avatar_definition])).
% 8.86/2.45 thf(f1046,plain,(
% 8.86/2.45 (f3 = (^[Y0 : $o]: (Y0))) | ~spl4_74),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f1044])).
% 8.86/2.45 thf(f1044,definition,(
% 8.86/2.45 spl4_74 <=> (f3 = (^[Y0 : $o]: (Y0)))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_74])],[avatar_definition])).
% 8.86/2.45 thf(f3683,plain,(
% 8.86/2.45 ~spl4_31 | ~spl4_38),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f3682])).
% 8.86/2.45 thf(f3682,plain,(
% 8.86/2.45 $false | (~spl4_31 | ~spl4_38)),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f3681])).
% 8.86/2.45 thf(f3681,plain,(
% 8.86/2.45 ($true = $false) | (~spl4_31 | ~spl4_38)),
% 8.86/2.45 inference(forward_demodulation,[status(thm)],[f3680,f2764])).
% 8.86/2.45 thf(f2764,plain,(
% 8.86/2.45 ( ! [X1 : $o] : (((f0 @ X1) = $false)) ) | ~spl4_38),
% 8.86/2.45 inference(beta_eta_normalization,[status(thm)],[f2761])).
% 8.86/2.45 thf(f2761,plain,(
% 8.86/2.45 ( ! [X1 : $o] : ((((^[Y0 : $o]: ($false)) @ X1) = (f0 @ X1))) ) | ~spl4_38),
% 8.86/2.45 inference(argument_congruence,[status(thm)],[f444])).
% 8.86/2.45 thf(f3680,plain,(
% 8.86/2.45 ( ! [X1 : $o] : (((f0 @ X1) = $true)) ) | ~spl4_31),
% 8.86/2.45 inference(beta_eta_normalization,[status(thm)],[f3670])).
% 8.86/2.45 thf(f3670,plain,(
% 8.86/2.45 ( ! [X1 : $o] : ((((^[Y0 : $o]: ($true)) @ X1) = (f0 @ X1))) ) | ~spl4_31),
% 8.86/2.45 inference(argument_congruence,[status(thm)],[f415])).
% 8.86/2.45 thf(f415,plain,(
% 8.86/2.45 (f0 = (^[Y0 : $o]: ($true))) | ~spl4_31),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f413])).
% 8.86/2.45 thf(f3660,plain,(
% 8.86/2.45 ~spl4_47 | ~spl4_174),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f3659])).
% 8.86/2.45 thf(f3659,plain,(
% 8.86/2.45 $false | (~spl4_47 | ~spl4_174)),
% 8.86/2.45 inference(trivial_inequality_removal,[status(thm)],[f3658])).
% 8.86/2.45 thf(f3658,plain,(
% 8.86/2.45 (sK2 != sK2) | (~spl4_47 | ~spl4_174)),
% 8.86/2.45 inference(duplicate_literal_removal,[status(thm)],[f3657])).
% 8.86/2.45 thf(f3657,plain,(
% 8.86/2.45 (sK2 != sK2) | (sK2 != sK2) | (sK2 != sK2) | (~spl4_47 | ~spl4_174)),
% 8.86/2.45 inference(superposition,[status(thm)],[f479,f3522])).
% 8.86/2.45 thf(f3522,plain,(
% 8.86/2.45 ((sK8 @ sK2) = sK2) | ~spl4_174),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f3520])).
% 8.86/2.45 thf(f3520,definition,(
% 8.86/2.45 spl4_174 <=> ((sK8 @ sK2) = sK2)),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_174])],[avatar_definition])).
% 8.86/2.45 thf(f479,plain,(
% 8.86/2.45 ( ! [X0 : $i] : ((sK2 != (sK8 @ X0)) | ((sK8 @ X0) != X0) | (sK2 != X0)) ) | ~spl4_47),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f478])).
% 8.86/2.45 thf(f478,definition,(
% 8.86/2.45 spl4_47 <=> ! [X0 : $i] : (((sK8 @ X0) != X0) | (sK2 != (sK8 @ X0)) | (sK2 != X0))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_47])],[avatar_definition])).
% 8.86/2.45 thf(f3538,plain,(
% 8.86/2.45 spl4_174 | ~spl4_34),
% 8.86/2.45 inference(avatar_split_clause,[status(thm)],[f3244,f426,f3520])).
% 8.86/2.45 thf(f426,definition,(
% 8.86/2.45 spl4_34 <=> ! [X0 : $i] : ((sK2 = (sK8 @ X0)) | ((sK8 @ X0) = X0) | (sK2 != X0))),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_34])],[avatar_definition])).
% 8.86/2.45 thf(f3244,plain,(
% 8.86/2.45 ((sK8 @ sK2) = sK2) | ~spl4_34),
% 8.86/2.45 inference(duplicate_literal_removal,[status(thm)],[f3243])).
% 8.86/2.45 thf(f3243,plain,(
% 8.86/2.45 ((sK8 @ sK2) = sK2) | ((sK8 @ sK2) = sK2) | ~spl4_34),
% 8.86/2.45 inference(equality_resolution,[status(thm)],[f427])).
% 8.86/2.45 thf(f427,plain,(
% 8.86/2.45 ( ! [X0 : $i] : ((sK2 != X0) | ((sK8 @ X0) = X0) | (sK2 = (sK8 @ X0))) ) | ~spl4_34),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f426])).
% 8.86/2.45 thf(f3503,plain,(
% 8.86/2.45 ~spl4_112 | ~spl4_114 | spl4_156),
% 8.86/2.45 inference(avatar_contradiction_clause,[status(thm)],[f3502])).
% 8.86/2.45 thf(f3502,plain,(
% 8.86/2.45 $false | (~spl4_112 | ~spl4_114 | spl4_156)),
% 8.86/2.45 inference(subsumption_resolution,[status(thm)],[f3501,f2676])).
% 8.86/2.45 thf(f2676,plain,(
% 8.86/2.45 ((f2 @ $true) != $false) | spl4_156),
% 8.86/2.45 inference(avatar_component_clause,[status(thm)],[f2675])).
% 8.86/2.45 thf(f2675,definition,(
% 8.86/2.45 spl4_156 <=> ((f2 @ $true) = $false)),
% 8.86/2.45 introduced(definition,[new_symbols(naming,[spl4_156])],[avatar_definition])).
% 8.86/2.45 thf(f3501,plain,(
% 8.86/2.45 ((f2 @ $true) = $false) | (~spl4_112 | ~spl4_114)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f1450,f1441])).
% 8.86/2.46 thf(f1441,plain,(
% 8.86/2.46 (sK17 = $true) | ~spl4_112),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f1439])).
% 8.86/2.46 thf(f1439,definition,(
% 8.86/2.46 spl4_112 <=> (sK17 = $true)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_112])],[avatar_definition])).
% 8.86/2.46 thf(f1450,plain,(
% 8.86/2.46 ((f2 @ sK17) = $false) | ~spl4_114),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f1448])).
% 8.86/2.46 thf(f1448,definition,(
% 8.86/2.46 spl4_114 <=> ((f2 @ sK17) = $false)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_114])],[avatar_definition])).
% 8.86/2.46 thf(f3499,plain,(
% 8.86/2.46 ~spl4_104 | spl4_166 | spl4_168),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3498])).
% 8.86/2.46 thf(f3498,plain,(
% 8.86/2.46 $false | (~spl4_104 | spl4_166 | spl4_168)),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f3497,f3358])).
% 8.86/2.46 thf(f3358,plain,(
% 8.86/2.46 (sK33 != $false) | spl4_166),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f3357])).
% 8.86/2.46 thf(f3357,definition,(
% 8.86/2.46 spl4_166 <=> (sK33 = $false)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_166])],[avatar_definition])).
% 8.86/2.46 thf(f3497,plain,(
% 8.86/2.46 (sK33 = $false) | (~spl4_104 | spl4_168)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f3496])).
% 8.86/2.46 thf(f3496,plain,(
% 8.86/2.46 (sK33 = $false) | ($true != $true) | (~spl4_104 | spl4_168)),
% 8.86/2.46 inference(superposition,[status(thm)],[f3367,f1220])).
% 8.86/2.46 thf(f3367,plain,(
% 8.86/2.46 (sK33 != $true) | spl4_168),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f3366])).
% 8.86/2.46 thf(f3366,definition,(
% 8.86/2.46 spl4_168 <=> (sK33 = $true)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_168])],[avatar_definition])).
% 8.86/2.46 thf(f3491,plain,(
% 8.86/2.46 ~spl4_171 | ~spl4_54 | spl4_55),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f3490,f844,f839,f3452])).
% 8.86/2.46 thf(f839,definition,(
% 8.86/2.46 spl4_54 <=> (~ = f1)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_54])],[avatar_definition])).
% 8.86/2.46 thf(f844,definition,(
% 8.86/2.46 spl4_55 <=> (f1 = (^[Y0 : $o]: ($true)))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_55])],[avatar_definition])).
% 8.86/2.46 thf(f3490,plain,(
% 8.86/2.46 (~ != (^[Y0 : $o]: ($true))) | (~spl4_54 | spl4_55)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f845,f841])).
% 8.86/2.46 thf(f841,plain,(
% 8.86/2.46 (~ = f1) | ~spl4_54),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f839])).
% 8.86/2.46 thf(f845,plain,(
% 8.86/2.46 (f1 != (^[Y0 : $o]: ($true))) | spl4_55),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f844])).
% 8.86/2.46 thf(f3441,plain,(
% 8.86/2.46 ~spl4_119),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3440])).
% 8.86/2.46 thf(f3440,plain,(
% 8.86/2.46 $false | ~spl4_119),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f3417])).
% 8.86/2.46 thf(f3417,plain,(
% 8.86/2.46 ($true = $false) | ~spl4_119),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f33,f1546])).
% 8.86/2.46 thf(f1546,plain,(
% 8.86/2.46 ( ! [X0 : $o] : (($false = X0)) ) | ~spl4_119),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f1545])).
% 8.86/2.46 thf(f1545,definition,(
% 8.86/2.46 spl4_119 <=> ! [X0 : $o] : ($false = X0)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_119])],[avatar_definition])).
% 8.86/2.46 thf(f3387,plain,(
% 8.86/2.46 ~spl4_166 | ~spl4_167),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3386])).
% 8.86/2.46 thf(f3386,plain,(
% 8.86/2.46 $false | (~spl4_166 | ~spl4_167)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f3385])).
% 8.86/2.46 thf(f3385,plain,(
% 8.86/2.46 ($true = $false) | (~spl4_166 | ~spl4_167)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f34,f3383])).
% 8.86/2.46 thf(f3383,plain,(
% 8.86/2.46 ((f1 @ $false) = $false) | (~spl4_166 | ~spl4_167)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f3364,f3359])).
% 8.86/2.46 thf(f3359,plain,(
% 8.86/2.46 (sK33 = $false) | ~spl4_166),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f3357])).
% 8.86/2.46 thf(f3364,plain,(
% 8.86/2.46 ($false = (f1 @ sK33)) | ~spl4_167),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f3362])).
% 8.86/2.46 thf(f3362,definition,(
% 8.86/2.46 spl4_167 <=> ($false = (f1 @ sK33))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_167])],[avatar_definition])).
% 8.86/2.46 thf(f34,plain,(
% 8.86/2.46 ((f1 @ $false) = $true)),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f18])).
% 8.86/2.46 thf(f18,plain,(
% 8.86/2.46 ((f1 @ $false) = $true)),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f5])).
% 8.86/2.46 thf(f5,axiom,(
% 8.86/2.46 ($true = (f1 @ $false))),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f1f)).
% 8.86/2.46 thf(f3378,plain,(
% 8.86/2.46 ~spl4_166 | ~spl4_168),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3377])).
% 8.86/2.46 thf(f3377,plain,(
% 8.86/2.46 $false | (~spl4_166 | ~spl4_168)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f3376])).
% 8.86/2.46 thf(f3376,plain,(
% 8.86/2.46 ($true = $false) | (~spl4_166 | ~spl4_168)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f3368,f3359])).
% 8.86/2.46 thf(f3368,plain,(
% 8.86/2.46 (sK33 = $true) | ~spl4_168),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f3366])).
% 8.86/2.46 thf(f3373,plain,(
% 8.86/2.46 ~spl4_165 | ~spl4_168),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3372])).
% 8.86/2.46 thf(f3372,plain,(
% 8.86/2.46 $false | (~spl4_165 | ~spl4_168)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f3371])).
% 8.86/2.46 thf(f3371,plain,(
% 8.86/2.46 ($true = $false) | (~spl4_165 | ~spl4_168)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f3370,f38])).
% 8.86/2.46 thf(f38,plain,(
% 8.86/2.46 ((f1 @ $true) = $false)),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f21])).
% 8.86/2.46 thf(f21,plain,(
% 8.86/2.46 ((f1 @ $true) = $false)),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f6])).
% 8.86/2.46 thf(f6,axiom,(
% 8.86/2.46 ($false = (f1 @ $true))),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f1t)).
% 8.86/2.46 thf(f3370,plain,(
% 8.86/2.46 ((f1 @ $true) = $true) | (~spl4_165 | ~spl4_168)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f3355,f3368])).
% 8.86/2.46 thf(f3355,plain,(
% 8.86/2.46 ($true = (f1 @ sK33)) | ~spl4_165),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f3353])).
% 8.86/2.46 thf(f3353,definition,(
% 8.86/2.46 spl4_165 <=> ($true = (f1 @ sK33))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_165])],[avatar_definition])).
% 8.86/2.46 thf(f3369,plain,(
% 8.86/2.46 spl4_167 | spl4_168 | spl4_54),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f3350,f839,f3366,f3362])).
% 8.86/2.46 thf(f3350,plain,(
% 8.86/2.46 (sK33 = $true) | ($false = (f1 @ sK33)) | spl4_54),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f3349])).
% 8.86/2.46 thf(f3349,plain,(
% 8.86/2.46 ($false = (f1 @ sK33)) | ((~ sK33) = $false) | spl4_54),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f3346])).
% 8.86/2.46 thf(f3346,plain,(
% 8.86/2.46 ((~ sK33) != (f1 @ sK33)) | spl4_54),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f840])).
% 8.86/2.46 thf(f840,plain,(
% 8.86/2.46 (~ != f1) | spl4_54),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f839])).
% 8.86/2.46 thf(f3360,plain,(
% 8.86/2.46 spl4_165 | spl4_166 | spl4_54),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f3351,f839,f3357,f3353])).
% 8.86/2.46 thf(f3351,plain,(
% 8.86/2.46 ($true = (f1 @ sK33)) | (sK33 = $false) | spl4_54),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f3348])).
% 8.86/2.46 thf(f3348,plain,(
% 8.86/2.46 ($true = (f1 @ sK33)) | ((~ sK33) = $true) | spl4_54),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f3346])).
% 8.86/2.46 thf(f3287,plain,(
% 8.86/2.46 spl4_119 | ~spl4_54 | ~spl4_55),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f3282,f844,f839,f1545])).
% 8.86/2.46 thf(f3282,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($false = X1)) ) | (~spl4_54 | ~spl4_55)),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f3281])).
% 8.86/2.46 thf(f3281,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((~ X1) = $true)) ) | (~spl4_54 | ~spl4_55)),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f3274])).
% 8.86/2.46 thf(f3274,plain,(
% 8.86/2.46 ( ! [X1 : $o] : ((((^[Y0 : $o]: ($true)) @ X1) = (~ X1))) ) | (~spl4_54 | ~spl4_55)),
% 8.86/2.46 inference(argument_congruence,[status(thm)],[f3267])).
% 8.86/2.46 thf(f3267,plain,(
% 8.86/2.46 (~ = (^[Y0 : $o]: ($true))) | (~spl4_54 | ~spl4_55)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f846,f841])).
% 8.86/2.46 thf(f846,plain,(
% 8.86/2.46 (f1 = (^[Y0 : $o]: ($true))) | ~spl4_55),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f844])).
% 8.86/2.46 thf(f3266,plain,(
% 8.86/2.46 ~spl4_5 | spl4_9 | ~spl4_52 | ~spl4_54),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3265])).
% 8.86/2.46 thf(f3265,plain,(
% 8.86/2.46 $false | (~spl4_5 | spl4_9 | ~spl4_52 | ~spl4_54)),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f2919,f3258])).
% 8.86/2.46 thf(f3258,plain,(
% 8.86/2.46 (~ = (^[Y0 : $o]: (Y0))) | (~spl4_52 | ~spl4_54)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f833,f841])).
% 8.86/2.46 thf(f833,plain,(
% 8.86/2.46 (f1 = (^[Y0 : $o]: (Y0))) | ~spl4_52),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f831])).
% 8.86/2.46 thf(f831,definition,(
% 8.86/2.46 spl4_52 <=> (f1 = (^[Y0 : $o]: (Y0)))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_52])],[avatar_definition])).
% 8.86/2.46 thf(f2919,plain,(
% 8.86/2.46 (~ != (^[Y0 : $o]: (Y0))) | (~spl4_5 | spl4_9 | ~spl4_54)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f2918,f841])).
% 8.86/2.46 thf(f2918,plain,(
% 8.86/2.46 (f1 != (^[Y0 : $o]: (Y0))) | (~spl4_5 | spl4_9 | ~spl4_54)),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f2898,f219])).
% 8.86/2.46 thf(f219,plain,(
% 8.86/2.46 (~ != f2) | spl4_9),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f218])).
% 8.86/2.46 thf(f218,definition,(
% 8.86/2.46 spl4_9 <=> (~ = f2)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_9])],[avatar_definition])).
% 8.86/2.46 thf(f2898,plain,(
% 8.86/2.46 (~ = f2) | (f1 != (^[Y0 : $o]: (Y0))) | (~spl4_5 | ~spl4_54)),
% 8.86/2.46 inference(constrained_superposition,[status(thm)],[f204,f841])).
% 8.86/2.46 thf(f3257,plain,(
% 8.86/2.46 spl4_33 | ~spl4_38 | ~spl4_54 | ~spl4_62),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3256])).
% 8.86/2.46 thf(f3256,plain,(
% 8.86/2.46 $false | (spl4_33 | ~spl4_38 | ~spl4_54 | ~spl4_62)),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f3255,f422])).
% 8.86/2.46 thf(f422,plain,(
% 8.86/2.46 (~ != f0) | spl4_33),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f421])).
% 8.86/2.46 thf(f421,definition,(
% 8.86/2.46 spl4_33 <=> (~ = f0)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_33])],[avatar_definition])).
% 8.86/2.46 thf(f3255,plain,(
% 8.86/2.46 (~ = f0) | (~spl4_38 | ~spl4_54 | ~spl4_62)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f3254,f841])).
% 8.86/2.46 thf(f3254,plain,(
% 8.86/2.46 (f0 = f1) | (~spl4_38 | ~spl4_62)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f873,f444])).
% 8.86/2.46 thf(f873,plain,(
% 8.86/2.46 (f1 = (^[Y0 : $o]: ($false))) | ~spl4_62),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f871])).
% 8.86/2.46 thf(f871,definition,(
% 8.86/2.46 spl4_62 <=> (f1 = (^[Y0 : $o]: ($false)))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_62])],[avatar_definition])).
% 8.86/2.46 thf(f3253,plain,(
% 8.86/2.46 ~spl4_64 | ~spl4_73),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f3252])).
% 8.86/2.46 thf(f3252,plain,(
% 8.86/2.46 $false | (~spl4_64 | ~spl4_73)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f3251])).
% 8.86/2.46 thf(f3251,plain,(
% 8.86/2.46 (sK3 != sK3) | (~spl4_64 | ~spl4_73)),
% 8.86/2.46 inference(duplicate_literal_removal,[status(thm)],[f3250])).
% 8.86/2.46 thf(f3250,plain,(
% 8.86/2.46 (sK3 != sK3) | (sK3 != sK3) | (sK3 != sK3) | (~spl4_64 | ~spl4_73)),
% 8.86/2.46 inference(superposition,[status(thm)],[f917,f3249])).
% 8.86/2.46 thf(f3249,plain,(
% 8.86/2.46 ((sK9 @ sK3) = sK3) | ~spl4_64),
% 8.86/2.46 inference(duplicate_literal_removal,[status(thm)],[f3248])).
% 8.86/2.46 thf(f3248,plain,(
% 8.86/2.46 ((sK9 @ sK3) = sK3) | ((sK9 @ sK3) = sK3) | ~spl4_64),
% 8.86/2.46 inference(equality_resolution,[status(thm)],[f881])).
% 8.86/2.46 thf(f881,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((sK9 @ X0) = sK3) | ((sK9 @ X0) = X0)) ) | ~spl4_64),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f880])).
% 8.86/2.46 thf(f880,definition,(
% 8.86/2.46 spl4_64 <=> ! [X0 : $i] : ((sK3 != X0) | ((sK9 @ X0) = X0) | ((sK9 @ X0) = sK3))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_64])],[avatar_definition])).
% 8.86/2.46 thf(f917,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK9 @ X0) != sK3) | (sK3 != X0) | ((sK9 @ X0) != X0)) ) | ~spl4_73),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f916])).
% 8.86/2.46 thf(f916,definition,(
% 8.86/2.46 spl4_73 <=> ! [X0 : $i] : (((sK9 @ X0) != sK3) | ((sK9 @ X0) != X0) | (sK3 != X0))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_73])],[avatar_definition])).
% 8.86/2.46 thf(f2939,plain,(
% 8.86/2.46 spl4_104 | ~spl4_5),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f2936,f202,f1219])).
% 8.86/2.46 thf(f2936,plain,(
% 8.86/2.46 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl4_5),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2935])).
% 8.86/2.46 thf(f2935,plain,(
% 8.86/2.46 ( ! [X0 : $o] : (($true = $false) | ($false = X0) | ($true = X0)) ) | ~spl4_5),
% 8.86/2.46 inference(superposition,[status(thm)],[f2830,f2831])).
% 8.86/2.46 thf(f2831,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($false = (f2 @ X1)) | ($true = X1)) ) | ~spl4_5),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f2829])).
% 8.86/2.46 thf(f2829,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((f2 @ X1) = X1)) ) | ~spl4_5),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f2824])).
% 8.86/2.46 thf(f2824,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((f2 @ X1) = ((^[Y0 : $o]: (Y0)) @ X1))) ) | ~spl4_5),
% 8.86/2.46 inference(argument_congruence,[status(thm)],[f204])).
% 8.86/2.46 thf(f2830,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($true = (f2 @ X1)) | ($false = X1)) ) | ~spl4_5),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f2829])).
% 8.86/2.46 thf(f2865,plain,(
% 8.86/2.46 ~spl4_25 | ~spl4_143),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f2864])).
% 8.86/2.46 thf(f2864,plain,(
% 8.86/2.46 $false | (~spl4_25 | ~spl4_143)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2863])).
% 8.86/2.46 thf(f2863,plain,(
% 8.86/2.46 (sK0 != sK0) | (~spl4_25 | ~spl4_143)),
% 8.86/2.46 inference(duplicate_literal_removal,[status(thm)],[f2862])).
% 8.86/2.46 thf(f2862,plain,(
% 8.86/2.46 (sK0 != sK0) | (sK0 != sK0) | (sK0 != sK0) | (~spl4_25 | ~spl4_143)),
% 8.86/2.46 inference(superposition,[status(thm)],[f283,f2212])).
% 8.86/2.46 thf(f2212,plain,(
% 8.86/2.46 ((sK7 @ sK0) = sK0) | ~spl4_143),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f2210])).
% 8.86/2.46 thf(f2210,definition,(
% 8.86/2.46 spl4_143 <=> ((sK7 @ sK0) = sK0)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_143])],[avatar_definition])).
% 8.86/2.46 thf(f283,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != (sK7 @ X0)) | (sK0 != X0) | ((sK7 @ X0) != X0)) ) | ~spl4_25),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f282])).
% 8.86/2.46 thf(f282,definition,(
% 8.86/2.46 spl4_25 <=> ! [X0 : $i] : ((sK0 != X0) | (sK0 != (sK7 @ X0)) | ((sK7 @ X0) != X0))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_25])],[avatar_definition])).
% 8.86/2.46 thf(f2801,plain,(
% 8.86/2.46 spl4_128 | ~spl4_12 | ~spl4_38),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f2607,f442,f230,f2127])).
% 8.86/2.46 thf(f2127,definition,(
% 8.86/2.46 spl4_128 <=> (f0 = f2)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_128])],[avatar_definition])).
% 8.86/2.46 thf(f230,definition,(
% 8.86/2.46 spl4_12 <=> (f2 = (^[Y0 : $o]: ($false)))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_12])],[avatar_definition])).
% 8.86/2.46 thf(f2607,plain,(
% 8.86/2.46 (f0 = f2) | (~spl4_12 | ~spl4_38)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f232,f444])).
% 8.86/2.46 thf(f232,plain,(
% 8.86/2.46 (f2 = (^[Y0 : $o]: ($false))) | ~spl4_12),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f230])).
% 8.86/2.46 thf(f2799,plain,(
% 8.86/2.46 spl4_128 | ~spl4_5 | ~spl4_29),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f2798,f405,f202,f2127])).
% 8.86/2.46 thf(f405,definition,(
% 8.86/2.46 spl4_29 <=> (f0 = (^[Y0 : $o]: (Y0)))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_29])],[avatar_definition])).
% 8.86/2.46 thf(f2798,plain,(
% 8.86/2.46 (f0 = f2) | (~spl4_5 | ~spl4_29)),
% 8.86/2.46 inference(forward_demodulation,[status(thm)],[f204,f407])).
% 8.86/2.46 thf(f407,plain,(
% 8.86/2.46 (f0 = (^[Y0 : $o]: (Y0))) | ~spl4_29),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f405])).
% 8.86/2.46 thf(f2778,plain,(
% 8.86/2.46 ~spl4_38 | ~spl4_128),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f2777])).
% 8.86/2.46 thf(f2777,plain,(
% 8.86/2.46 $false | (~spl4_38 | ~spl4_128)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2773])).
% 8.86/2.46 thf(f2773,plain,(
% 8.86/2.46 ($true = $false) | (~spl4_38 | ~spl4_128)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f37,f2768])).
% 8.86/2.46 thf(f2768,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($false = (f2 @ X1))) ) | (~spl4_38 | ~spl4_128)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2767])).
% 8.86/2.46 thf(f2767,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($false = (f2 @ X1)) | ($true = $false)) ) | (~spl4_38 | ~spl4_128)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f2641,f2764])).
% 8.86/2.46 thf(f2641,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($false = (f2 @ X1)) | ((f0 @ X1) = $true)) ) | ~spl4_128),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f2638])).
% 8.86/2.46 thf(f2638,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((f0 @ X1) = (f2 @ X1))) ) | ~spl4_128),
% 8.86/2.46 inference(argument_congruence,[status(thm)],[f2129])).
% 8.86/2.46 thf(f2129,plain,(
% 8.86/2.46 (f0 = f2) | ~spl4_128),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f2127])).
% 8.86/2.46 thf(f37,plain,(
% 8.86/2.46 ((f2 @ $true) = $true)),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f15])).
% 8.86/2.46 thf(f15,plain,(
% 8.86/2.46 ((f2 @ $true) = $true)),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f8])).
% 8.86/2.46 thf(f8,axiom,(
% 8.86/2.46 ((f2 @ $true) = $true)),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f2t)).
% 8.86/2.46 thf(f2686,plain,(
% 8.86/2.46 ~spl4_156),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f2685])).
% 8.86/2.46 thf(f2685,plain,(
% 8.86/2.46 $false | ~spl4_156),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2684])).
% 8.86/2.46 thf(f2684,plain,(
% 8.86/2.46 ($true = $false) | ~spl4_156),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f37,f2677])).
% 8.86/2.46 thf(f2677,plain,(
% 8.86/2.46 ((f2 @ $true) = $false) | ~spl4_156),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f2675])).
% 8.86/2.46 thf(f2416,plain,(
% 8.86/2.46 spl4_38),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f2415])).
% 8.86/2.46 thf(f2415,plain,(
% 8.86/2.46 $false | spl4_38),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f2414,f31])).
% 8.86/2.46 thf(f31,plain,(
% 8.86/2.46 ($false = (f0 @ $true))),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f25])).
% 8.86/2.46 thf(f25,plain,(
% 8.86/2.46 ($false = (f0 @ $true))),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f4])).
% 8.86/2.46 thf(f4,axiom,(
% 8.86/2.46 ((f0 @ $true) = $false)),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f0t)).
% 8.86/2.46 thf(f2414,plain,(
% 8.86/2.46 ($false != (f0 @ $true)) | spl4_38),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f2379,f2391])).
% 8.86/2.46 thf(f2391,plain,(
% 8.86/2.46 ($false != sK25) | spl4_38),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2370])).
% 8.86/2.46 thf(f2370,plain,(
% 8.86/2.46 ($false != $false) | ($false != sK25) | spl4_38),
% 8.86/2.46 inference(constrained_superposition,[status(thm)],[f2338,f40])).
% 8.86/2.46 thf(f40,plain,(
% 8.86/2.46 ($false = (f0 @ $false))),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f16])).
% 8.86/2.46 thf(f16,plain,(
% 8.86/2.46 ($false = (f0 @ $false))),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f3])).
% 8.86/2.46 thf(f3,axiom,(
% 8.86/2.46 ((f0 @ $false) = $false)),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',f0f)).
% 8.86/2.46 thf(f2338,plain,(
% 8.86/2.46 ($false != (f0 @ sK25)) | spl4_38),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f2337])).
% 8.86/2.46 thf(f2337,plain,(
% 8.86/2.46 (((^[Y0 : $o]: ($false)) @ sK25) != (f0 @ sK25)) | spl4_38),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f443])).
% 8.86/2.46 thf(f443,plain,(
% 8.86/2.46 (f0 != (^[Y0 : $o]: ($false))) | spl4_38),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f442])).
% 8.86/2.46 thf(f2379,plain,(
% 8.86/2.46 ($false = sK25) | ($false != (f0 @ $true)) | spl4_38),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f2365])).
% 8.86/2.46 thf(f2365,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false != (f0 @ $true)) | (((^[Y0 : $i]: (sK25)) @ X0) = $false)) ) | spl4_38),
% 8.86/2.46 inference(superposition,[status(thm)],[f2338,f572])).
% 8.86/2.46 thf(f572,plain,(
% 8.86/2.46 ( ! [X1 : $i,X7 : $i > $o] : (((X7 @ (eps @ X7)) = $true) | ($false = (X7 @ X1))) )),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f571])).
% 8.86/2.46 thf(f571,plain,(
% 8.86/2.46 ( ! [X1 : $i,X7 : $i > $o] : (($false = (X7 @ X1)) | ((~ (X7 @ (eps @ X7))) = $false)) )),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f570])).
% 8.86/2.46 thf(f570,plain,(
% 8.86/2.46 ( ! [X1 : $i,X7 : $i > $o] : (((~ (X7 @ X1)) = $true) | ((~ (X7 @ (eps @ X7))) = $false)) )),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f569])).
% 8.86/2.46 thf(f569,plain,(
% 8.86/2.46 ( ! [X1 : $i,X7 : $i > $o] : (((~ (X7 @ (eps @ (^[Y0 : $i]: (X7 @ Y0))))) = $false) | ((~ (X7 @ X1)) = $true)) )),
% 8.86/2.46 inference(boolean_simplification,[status(thm)],[f568])).
% 8.86/2.46 thf(f568,plain,(
% 8.86/2.46 ( ! [X1 : $i,X7 : $i > $o] : (($false = (~ (X7 @ (eps @ (^[Y0 : $i]: (~ (~ (X7 @ Y0)))))))) | ((~ (X7 @ X1)) = $true)) )),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f499])).
% 8.86/2.46 thf(f499,plain,(
% 8.86/2.46 ( ! [X1 : $i,X7 : $i > $o] : ((((^[Y0 : $i]: (~ (X7 @ Y0))) @ X1) = $true) | (((^[Y0 : $i]: (~ (X7 @ Y0))) @ (eps @ (^[Y0 : $i]: (~ ((^[Y1 : $i]: (~ (X7 @ Y1))) @ Y0))))) = $false)) )),
% 8.86/2.46 inference(primitive_instantiation,[status(thm)],[f86])).
% 8.86/2.46 thf(f86,plain,(
% 8.86/2.46 ( ! [X1 : $i,X4 : $i > $o] : (((X4 @ X1) = $true) | ((X4 @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0))))) = $false)) )),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f85])).
% 8.86/2.46 thf(f85,plain,(
% 8.86/2.46 ( ! [X1 : $i,X4 : $i > $o] : (((X4 @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0))))) = $false) | ($true != (~ (X4 @ X1)))) )),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f84])).
% 8.86/2.46 thf(f84,plain,(
% 8.86/2.46 ( ! [X1 : $i,X4 : $i > $o] : (($true = (~ (X4 @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) | ($true != (~ (X4 @ X1)))) )),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f68])).
% 8.86/2.46 thf(f68,plain,(
% 8.86/2.46 ( ! [X1 : $i,X4 : $i > $o] : ((((^[Y0 : $i]: (~ (X4 @ Y0))) @ X1) != $true) | ($true = ((^[Y0 : $i]: (~ (X4 @ Y0))) @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) )),
% 8.86/2.46 inference(primitive_instantiation,[status(thm)],[f36])).
% 8.86/2.46 thf(f36,plain,(
% 8.86/2.46 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) != $true) | ((X0 @ (eps @ X0)) = $true)) )),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f28])).
% 8.86/2.46 thf(f28,plain,(
% 8.86/2.46 ! [X0 : $i > $o] : (((X0 @ (eps @ X0)) = $true) | ! [X1 : $i] : ((X0 @ X1) != $true))),
% 8.86/2.46 inference(ennf_transformation,[status(thm)],[f23])).
% 8.86/2.46 thf(f23,plain,(
% 8.86/2.46 ! [X0 : $i > $o] : (? [X1 : $i] : ((X0 @ X1) = $true) => ((X0 @ (eps @ X0)) = $true))),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f22])).
% 8.86/2.46 thf(f22,plain,(
% 8.86/2.46 ! [X0 : $i > $o] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 8.86/2.46 inference(rectify,[status(thm)],[f1])).
% 8.86/2.46 thf(f1,axiom,(
% 8.86/2.46 ! [X0 : $i > $o] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',choiceax)).
% 8.86/2.46 thf(f2214,plain,(
% 8.86/2.46 spl4_143 | ~spl4_23),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f1429,f274,f2210])).
% 8.86/2.46 thf(f274,definition,(
% 8.86/2.46 spl4_23 <=> ! [X0 : $i] : (((sK7 @ X0) = X0) | (sK0 != X0) | (sK0 = (sK7 @ X0)))),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_23])],[avatar_definition])).
% 8.86/2.46 thf(f1429,plain,(
% 8.86/2.46 ((sK7 @ sK0) = sK0) | ~spl4_23),
% 8.86/2.46 inference(duplicate_literal_removal,[status(thm)],[f1428])).
% 8.86/2.46 thf(f1428,plain,(
% 8.86/2.46 ((sK7 @ sK0) = sK0) | ((sK7 @ sK0) = sK0) | ~spl4_23),
% 8.86/2.46 inference(equality_resolution,[status(thm)],[f275])).
% 8.86/2.46 thf(f275,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | ((sK7 @ X0) = X0) | (sK0 = (sK7 @ X0))) ) | ~spl4_23),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f274])).
% 8.86/2.46 thf(f2095,plain,(
% 8.86/2.46 ~spl4_33),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f2094])).
% 8.86/2.46 thf(f2094,plain,(
% 8.86/2.46 $false | ~spl4_33),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f2093])).
% 8.86/2.46 thf(f2093,plain,(
% 8.86/2.46 ($true = $false) | ~spl4_33),
% 8.86/2.46 inference(duplicate_literal_removal,[status(thm)],[f2067])).
% 8.86/2.46 thf(f2067,plain,(
% 8.86/2.46 ($true = $false) | ($true = $false) | ~spl4_33),
% 8.86/2.46 inference(superposition,[status(thm)],[f40,f1504])).
% 8.86/2.46 thf(f1504,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((f0 @ X1) = $true) | ($true = X1)) ) | ~spl4_33),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f1501])).
% 8.86/2.46 thf(f1501,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((f0 @ X1) = $true) | ((~ X1) = $false)) ) | ~spl4_33),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f1495])).
% 8.86/2.46 thf(f1495,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((f0 @ X1) = (~ X1))) ) | ~spl4_33),
% 8.86/2.46 inference(argument_congruence,[status(thm)],[f423])).
% 8.86/2.46 thf(f423,plain,(
% 8.86/2.46 (~ = f0) | ~spl4_33),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f421])).
% 8.86/2.46 thf(f1985,plain,(
% 8.86/2.46 ~spl4_113 | spl4_114),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f1984])).
% 8.86/2.46 thf(f1984,plain,(
% 8.86/2.46 $false | (~spl4_113 | spl4_114)),
% 8.86/2.46 inference(subsumption_resolution,[status(thm)],[f1983,f39])).
% 8.86/2.46 thf(f1983,plain,(
% 8.86/2.46 ((f2 @ $false) != $false) | (~spl4_113 | spl4_114)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f1449,f1446])).
% 8.86/2.46 thf(f1446,plain,(
% 8.86/2.46 (sK17 = $false) | ~spl4_113),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f1444])).
% 8.86/2.46 thf(f1444,definition,(
% 8.86/2.46 spl4_113 <=> (sK17 = $false)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_113])],[avatar_definition])).
% 8.86/2.46 thf(f1449,plain,(
% 8.86/2.46 ((f2 @ sK17) != $false) | spl4_114),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f1448])).
% 8.86/2.46 thf(f1967,plain,(
% 8.86/2.46 ~spl4_111 | ~spl4_114),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f1966])).
% 8.86/2.46 thf(f1966,plain,(
% 8.86/2.46 $false | (~spl4_111 | ~spl4_114)),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f1965])).
% 8.86/2.46 thf(f1965,plain,(
% 8.86/2.46 ($true = $false) | (~spl4_111 | ~spl4_114)),
% 8.86/2.46 inference(backward_demodulation,[status(thm)],[f1437,f1450])).
% 8.86/2.46 thf(f1437,plain,(
% 8.86/2.46 ((f2 @ sK17) = $true) | ~spl4_111),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f1435])).
% 8.86/2.46 thf(f1435,definition,(
% 8.86/2.46 spl4_111 <=> ((f2 @ sK17) = $true)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_111])],[avatar_definition])).
% 8.86/2.46 thf(f1451,plain,(
% 8.86/2.46 spl4_113 | spl4_114 | spl4_5),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f1433,f202,f1448,f1444])).
% 8.86/2.46 thf(f1433,plain,(
% 8.86/2.46 (sK17 = $false) | ((f2 @ sK17) = $false) | spl4_5),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f1431])).
% 8.86/2.46 thf(f1431,plain,(
% 8.86/2.46 ((f2 @ sK17) != sK17) | spl4_5),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f1430])).
% 8.86/2.46 thf(f1430,plain,(
% 8.86/2.46 ((f2 @ sK17) != ((^[Y0 : $o]: (Y0)) @ sK17)) | spl4_5),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f203])).
% 8.86/2.46 thf(f203,plain,(
% 8.86/2.46 (f2 != (^[Y0 : $o]: (Y0))) | spl4_5),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f202])).
% 8.86/2.46 thf(f1442,plain,(
% 8.86/2.46 spl4_111 | spl4_112 | spl4_5),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f1432,f202,f1439,f1435])).
% 8.86/2.46 thf(f1432,plain,(
% 8.86/2.46 (sK17 = $true) | ((f2 @ sK17) = $true) | spl4_5),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f1431])).
% 8.86/2.46 thf(f1207,plain,(
% 8.86/2.46 ~spl4_9),
% 8.86/2.46 inference(avatar_contradiction_clause,[status(thm)],[f1206])).
% 8.86/2.46 thf(f1206,plain,(
% 8.86/2.46 $false | ~spl4_9),
% 8.86/2.46 inference(trivial_inequality_removal,[status(thm)],[f1205])).
% 8.86/2.46 thf(f1205,plain,(
% 8.86/2.46 ($true = $false) | ~spl4_9),
% 8.86/2.46 inference(duplicate_literal_removal,[status(thm)],[f1170])).
% 8.86/2.46 thf(f1170,plain,(
% 8.86/2.46 ($true = $false) | ($true = $false) | ~spl4_9),
% 8.86/2.46 inference(superposition,[status(thm)],[f1166,f39])).
% 8.86/2.46 thf(f1166,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($true = (f2 @ X1)) | ($true = X1)) ) | ~spl4_9),
% 8.86/2.46 inference(not_proxy_clausification,[status(thm)],[f1165])).
% 8.86/2.46 thf(f1165,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (($true = (f2 @ X1)) | ((~ X1) = $false)) ) | ~spl4_9),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f1163])).
% 8.86/2.46 thf(f1163,plain,(
% 8.86/2.46 ( ! [X1 : $o] : (((~ X1) = (f2 @ X1))) ) | ~spl4_9),
% 8.86/2.46 inference(argument_congruence,[status(thm)],[f220])).
% 8.86/2.46 thf(f220,plain,(
% 8.86/2.46 (~ = f2) | ~spl4_9),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f218])).
% 8.86/2.46 thf(f1130,plain,(
% 8.86/2.46 ~spl4_77 | spl4_95 | spl4_4),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f960,f57,f1128,f1055])).
% 8.86/2.46 thf(f57,definition,(
% 8.86/2.46 spl4_4 <=> ((eps @ (^[Y0 : $i]: (((((~ = f3) & (sK3 = Y0)) | ((f3 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f3 = (^[Y1 : $o]: (Y1))))) | ((f3 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) = sK1)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_4])],[avatar_definition])).
% 8.86/2.46 thf(f960,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK12 @ X0) != X0) | (sK1 != X0) | (f3 != (^[Y0 : $o]: ($true))) | (sK1 != (sK12 @ X0))) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f959])).
% 8.86/2.46 thf(f959,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK1 != X0) | (sK1 != (sK12 @ X0)) | ($false = (f3 = (^[Y0 : $o]: ($true)))) | ((sK12 @ X0) != X0)) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f958])).
% 8.86/2.46 thf(f958,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false = (sK1 = (sK12 @ X0))) | (sK1 != X0) | ((sK12 @ X0) != X0) | ($false = (f3 = (^[Y0 : $o]: ($true))))) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f957])).
% 8.86/2.46 thf(f957,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK12 @ X0) != X0) | (sK1 != X0) | (((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0))) = $false)) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f951])).
% 8.86/2.46 thf(f951,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK1 != X0) | ($false = (X0 = (sK12 @ X0))) | (((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0))) = $false)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f950])).
% 8.86/2.46 thf(f950,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) = $false) | ($false = (X0 = (sK12 @ X0))) | (sK1 != X0)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f948])).
% 8.86/2.46 thf(f948,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false = ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0)))))) | ($false = (X0 = (sK12 @ X0))) | (sK1 != X0)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f946])).
% 8.86/2.46 thf(f946,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false = (((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0))))) | ((f3 = (^[Y0 : $o]: ($false))) & (sK2 = (sK12 @ X0))))) | (sK1 != X0) | ($false = (X0 = (sK12 @ X0)))) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f944])).
% 8.86/2.46 thf(f944,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK1 != X0) | ((X0 = (sK12 @ X0)) != (((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0))))) | ((f3 = (^[Y0 : $o]: ($false))) & (sK2 = (sK12 @ X0)))))) ) | spl4_4),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f943])).
% 8.86/2.46 thf(f943,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((X0 = (sK12 @ X0)) != ((^[Y0 : $i]: (((((~ = f3) & (sK3 = Y0)) | ((f3 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f3 = (^[Y1 : $o]: (Y1))))) | ((f3 = (^[Y1 : $o]: ($false))) & (sK2 = Y0)))) @ (sK12 @ X0))) | (sK1 != X0)) ) | spl4_4),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f932])).
% 8.86/2.46 thf(f932,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((= @ X0) != (^[Y0 : $i]: (((((~ = f3) & (sK3 = Y0)) | ((f3 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f3 = (^[Y1 : $o]: (Y1))))) | ((f3 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) | (sK1 != X0)) ) | spl4_4),
% 8.86/2.46 inference(constrained_superposition,[status(thm)],[f59,f65])).
% 8.86/2.46 thf(f65,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((eps @ (= @ X0)) = X0)) )),
% 8.86/2.46 inference(leibniz_equality_elimination,[status(thm)],[f36])).
% 8.86/2.46 thf(f59,plain,(
% 8.86/2.46 ((eps @ (^[Y0 : $i]: (((((~ = f3) & (sK3 = Y0)) | ((f3 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f3 = (^[Y1 : $o]: (Y1))))) | ((f3 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK1) | spl4_4),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f57])).
% 8.86/2.46 thf(f1094,plain,(
% 8.86/2.46 spl4_86 | spl4_78 | spl4_84 | spl4_74 | spl4_4),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f1006,f57,f1044,f1084,f1060,f1092])).
% 8.86/2.46 thf(f1006,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f3 = (^[Y0 : $o]: ($false))) | (~ = f3) | ((sK12 @ X0) = X0) | (sK1 = (sK12 @ X0)) | (f3 = (^[Y0 : $o]: (Y0))) | (sK1 != X0)) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f1005])).
% 8.86/2.46 thf(f1005,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK1 = (sK12 @ X0)) | ($true = (~ = f3)) | (f3 = (^[Y0 : $o]: ($false))) | (sK1 != X0) | (f3 = (^[Y0 : $o]: (Y0))) | ((sK12 @ X0) = X0)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f1003])).
% 8.86/2.46 thf(f1003,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK12 @ X0) = X0) | (sK1 = (sK12 @ X0)) | (((~ = f3) & (sK3 = (sK12 @ X0))) = $true) | (sK1 != X0) | (f3 = (^[Y0 : $o]: (Y0))) | (f3 = (^[Y0 : $o]: ($false)))) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f996])).
% 8.86/2.46 thf(f996,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK1 != X0) | ($true = (sK1 = (sK12 @ X0))) | (f3 = (^[Y0 : $o]: (Y0))) | (f3 = (^[Y0 : $o]: ($false))) | ((sK12 @ X0) = X0) | (((~ = f3) & (sK3 = (sK12 @ X0))) = $true)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f995])).
% 8.86/2.46 thf(f995,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK12 @ X0) = X0) | (f3 = (^[Y0 : $o]: ($false))) | (sK1 != X0) | (((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0))) = $true) | (f3 = (^[Y0 : $o]: (Y0))) | (((~ = f3) & (sK3 = (sK12 @ X0))) = $true)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f994])).
% 8.86/2.46 thf(f994,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK1 != X0) | (f3 = (^[Y0 : $o]: ($false))) | ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) = $true) | ((sK12 @ X0) = X0) | (f3 = (^[Y0 : $o]: (Y0)))) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f975])).
% 8.86/2.46 thf(f975,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((f3 = (^[Y0 : $o]: (Y0))) = $true) | (sK1 != X0) | (f3 = (^[Y0 : $o]: ($false))) | ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) = $true) | ((sK12 @ X0) = X0)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f974])).
% 8.86/2.46 thf(f974,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0)))) = $true) | (sK1 != X0) | ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) = $true) | ((sK12 @ X0) = X0) | (f3 = (^[Y0 : $o]: ($false)))) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f973])).
% 8.86/2.46 thf(f973,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (f3 = (^[Y0 : $o]: ($false)))) | (((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0)))) = $true) | ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) = $true) | ((sK12 @ X0) = X0) | (sK1 != X0)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f972])).
% 8.86/2.46 thf(f972,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0)))))) | (sK1 != X0) | ((sK12 @ X0) = X0) | ($true = (f3 = (^[Y0 : $o]: ($false))))) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f970])).
% 8.86/2.46 thf(f970,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((f3 = (^[Y0 : $o]: ($false))) & (sK2 = (sK12 @ X0))) = $true) | (sK1 != X0) | ($true = ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0)))))) | ((sK12 @ X0) = X0)) ) | spl4_4),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f969])).
% 8.86/2.46 thf(f969,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (X0 = (sK12 @ X0))) | (sK1 != X0) | ($true = ((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0)))))) | (((f3 = (^[Y0 : $o]: ($false))) & (sK2 = (sK12 @ X0))) = $true)) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f945])).
% 8.86/2.46 thf(f945,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (((((~ = f3) & (sK3 = (sK12 @ X0))) | ((f3 = (^[Y0 : $o]: ($true))) & (sK1 = (sK12 @ X0)))) | ((sK0 = (sK12 @ X0)) & (f3 = (^[Y0 : $o]: (Y0))))) | ((f3 = (^[Y0 : $o]: ($false))) & (sK2 = (sK12 @ X0))))) | (sK1 != X0) | ($true = (X0 = (sK12 @ X0)))) ) | spl4_4),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f944])).
% 8.86/2.46 thf(f918,plain,(
% 8.86/2.46 ~spl4_54 | spl4_73 | spl4_3),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f739,f53,f916,f839])).
% 8.86/2.46 thf(f53,definition,(
% 8.86/2.46 spl4_3 <=> ((eps @ (^[Y0 : $i]: (((((~ = f1) & (sK3 = Y0)) | ((f1 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f1 = (^[Y1 : $o]: (Y1))))) | ((f1 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) = sK3)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_3])],[avatar_definition])).
% 8.86/2.46 thf(f739,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK9 @ X0) != sK3) | (~ != f1) | (sK3 != X0) | ((sK9 @ X0) != X0)) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f738])).
% 8.86/2.46 thf(f738,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false = (~ = f1)) | ((sK9 @ X0) != X0) | ((sK9 @ X0) != sK3) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f737])).
% 8.86/2.46 thf(f737,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((sK3 = (sK9 @ X0)) = $false) | ((sK9 @ X0) != X0) | ($false = (~ = f1))) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f736])).
% 8.86/2.46 thf(f736,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((sK9 @ X0) != X0) | (((~ = f1) & (sK3 = (sK9 @ X0))) = $false)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f734])).
% 8.86/2.46 thf(f734,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) = $false) | ((sK9 @ X0) != X0)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f732])).
% 8.86/2.46 thf(f732,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((sK9 @ X0) != X0) | (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) = $false)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f730])).
% 8.86/2.46 thf(f730,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ($false = (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) | ((f1 = (^[Y0 : $o]: ($false))) & (sK2 = (sK9 @ X0))))) | ((sK9 @ X0) != X0)) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f729])).
% 8.86/2.46 thf(f729,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((X0 = (sK9 @ X0)) = $false) | (sK3 != X0) | ($false = (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) | ((f1 = (^[Y0 : $o]: ($false))) & (sK2 = (sK9 @ X0)))))) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f727])).
% 8.86/2.46 thf(f727,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((X0 = (sK9 @ X0)) != (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) | ((f1 = (^[Y0 : $o]: ($false))) & (sK2 = (sK9 @ X0))))) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f726])).
% 8.86/2.46 thf(f726,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((X0 = (sK9 @ X0)) != ((^[Y0 : $i]: (((((~ = f1) & (sK3 = Y0)) | ((f1 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f1 = (^[Y1 : $o]: (Y1))))) | ((f1 = (^[Y1 : $o]: ($false))) & (sK2 = Y0)))) @ (sK9 @ X0))) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f604])).
% 8.86/2.46 thf(f604,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((= @ X0) != (^[Y0 : $i]: (((((~ = f1) & (sK3 = Y0)) | ((f1 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f1 = (^[Y1 : $o]: (Y1))))) | ((f1 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(constrained_superposition,[status(thm)],[f55,f65])).
% 8.86/2.46 thf(f55,plain,(
% 8.86/2.46 ((eps @ (^[Y0 : $i]: (((((~ = f1) & (sK3 = Y0)) | ((f1 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f1 = (^[Y1 : $o]: (Y1))))) | ((f1 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK3) | spl4_3),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f53])).
% 8.86/2.46 thf(f882,plain,(
% 8.86/2.46 spl4_62 | spl4_55 | spl4_52 | spl4_64 | spl4_3),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f781,f53,f880,f831,f844,f871])).
% 8.86/2.46 thf(f781,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | (f1 = (^[Y0 : $o]: (Y0))) | ((sK9 @ X0) = sK3) | (f1 = (^[Y0 : $o]: ($true))) | ((sK9 @ X0) = X0) | (f1 = (^[Y0 : $o]: ($false)))) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f780])).
% 8.86/2.46 thf(f780,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK9 @ X0) = X0) | ((sK3 = (sK9 @ X0)) = $true) | (f1 = (^[Y0 : $o]: ($true))) | (sK3 != X0) | (f1 = (^[Y0 : $o]: ($false))) | (f1 = (^[Y0 : $o]: (Y0)))) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f776])).
% 8.86/2.46 thf(f776,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f1 = (^[Y0 : $o]: (Y0))) | (sK3 != X0) | ((f1 = (^[Y0 : $o]: ($true))) = $true) | ((sK9 @ X0) = X0) | (f1 = (^[Y0 : $o]: ($false))) | ((sK3 = (sK9 @ X0)) = $true)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f775])).
% 8.86/2.46 thf(f775,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | (((~ = f1) & (sK3 = (sK9 @ X0))) = $true) | (f1 = (^[Y0 : $o]: (Y0))) | (f1 = (^[Y0 : $o]: ($false))) | ((sK9 @ X0) = X0) | ((f1 = (^[Y0 : $o]: ($true))) = $true)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f773])).
% 8.86/2.46 thf(f773,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0))) = $true) | (f1 = (^[Y0 : $o]: (Y0))) | (((~ = f1) & (sK3 = (sK9 @ X0))) = $true) | (f1 = (^[Y0 : $o]: ($false))) | (sK3 != X0) | ((sK9 @ X0) = X0)) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f772])).
% 8.86/2.46 thf(f772,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (f1 = (^[Y0 : $o]: (Y0)))) | (f1 = (^[Y0 : $o]: ($false))) | ((sK9 @ X0) = X0) | (((~ = f1) & (sK3 = (sK9 @ X0))) = $true) | (((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0))) = $true) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f755])).
% 8.86/2.46 thf(f755,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f1 = (^[Y0 : $o]: ($false))) | (sK3 != X0) | ((sK9 @ X0) = X0) | ((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) = $true) | ($true = (f1 = (^[Y0 : $o]: (Y0))))) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f754])).
% 8.86/2.46 thf(f754,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f1 = (^[Y0 : $o]: ($false))) | (sK3 != X0) | ($true = ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) | ((sK9 @ X0) = X0) | ((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) = $true)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f753])).
% 8.86/2.46 thf(f753,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f1 = (^[Y0 : $o]: ($false))) | (sK3 != X0) | (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) = $true) | ((sK9 @ X0) = X0)) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f752])).
% 8.86/2.46 thf(f752,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((sK9 @ X0) = X0) | ($true = (f1 = (^[Y0 : $o]: ($false)))) | (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) = $true)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f750])).
% 8.86/2.46 thf(f750,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK3 != X0) | ((sK9 @ X0) = X0) | ($true = ((f1 = (^[Y0 : $o]: ($false))) & (sK2 = (sK9 @ X0)))) | (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) = $true)) ) | spl4_3),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f749])).
% 8.86/2.46 thf(f749,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (X0 = (sK9 @ X0))) | ($true = ((f1 = (^[Y0 : $o]: ($false))) & (sK2 = (sK9 @ X0)))) | (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) = $true) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f728])).
% 8.86/2.46 thf(f728,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (((((~ = f1) & (sK3 = (sK9 @ X0))) | ((f1 = (^[Y0 : $o]: ($true))) & (sK1 = (sK9 @ X0)))) | ((sK0 = (sK9 @ X0)) & (f1 = (^[Y0 : $o]: (Y0))))) | ((f1 = (^[Y0 : $o]: ($false))) & (sK2 = (sK9 @ X0))))) | ($true = (X0 = (sK9 @ X0))) | (sK3 != X0)) ) | spl4_3),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f727])).
% 8.86/2.46 thf(f480,plain,(
% 8.86/2.46 ~spl4_38 | spl4_47 | spl4_2),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f326,f49,f478,f442])).
% 8.86/2.46 thf(f49,definition,(
% 8.86/2.46 spl4_2 <=> ((eps @ (^[Y0 : $i]: (((((~ = f0) & (sK3 = Y0)) | ((f0 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f0 = (^[Y1 : $o]: (Y1))))) | ((f0 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) = sK2)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_2])],[avatar_definition])).
% 8.86/2.46 thf(f326,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK8 @ X0) != X0) | (sK2 != X0) | (f0 != (^[Y0 : $o]: ($false))) | (sK2 != (sK8 @ X0))) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f325])).
% 8.86/2.46 thf(f325,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK2 != X0) | (sK2 != (sK8 @ X0)) | ($false = (X0 = (sK8 @ X0))) | (f0 != (^[Y0 : $o]: ($false)))) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f324])).
% 8.86/2.46 thf(f324,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK2 != X0) | ((sK2 = (sK8 @ X0)) = $false) | (f0 != (^[Y0 : $o]: ($false))) | ($false = (X0 = (sK8 @ X0)))) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f323])).
% 8.86/2.46 thf(f323,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false = (f0 = (^[Y0 : $o]: ($false)))) | (sK2 != X0) | ($false = (X0 = (sK8 @ X0))) | ((sK2 = (sK8 @ X0)) = $false)) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f306])).
% 8.86/2.46 thf(f306,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((f0 = (^[Y0 : $o]: ($false))) & (sK2 = (sK8 @ X0))) = $false) | ($false = (X0 = (sK8 @ X0))) | (sK2 != X0)) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f305])).
% 8.86/2.46 thf(f305,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK2 != X0) | ($false = (((((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0)))) | ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0))))) | ((f0 = (^[Y0 : $o]: ($false))) & (sK2 = (sK8 @ X0))))) | ($false = (X0 = (sK8 @ X0)))) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f303])).
% 8.86/2.46 thf(f303,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((X0 = (sK8 @ X0)) != (((((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0)))) | ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0))))) | ((f0 = (^[Y0 : $o]: ($false))) & (sK2 = (sK8 @ X0))))) | (sK2 != X0)) ) | spl4_2),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f302])).
% 8.86/2.46 thf(f302,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((^[Y0 : $i]: (((((~ = f0) & (sK3 = Y0)) | ((f0 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f0 = (^[Y1 : $o]: (Y1))))) | ((f0 = (^[Y1 : $o]: ($false))) & (sK2 = Y0)))) @ (sK8 @ X0)) != (X0 = (sK8 @ X0))) | (sK2 != X0)) ) | spl4_2),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f293])).
% 8.86/2.46 thf(f293,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((= @ X0) != (^[Y0 : $i]: (((((~ = f0) & (sK3 = Y0)) | ((f0 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f0 = (^[Y1 : $o]: (Y1))))) | ((f0 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) | (sK2 != X0)) ) | spl4_2),
% 8.86/2.46 inference(constrained_superposition,[status(thm)],[f51,f65])).
% 8.86/2.46 thf(f51,plain,(
% 8.86/2.46 ((eps @ (^[Y0 : $i]: (((((~ = f0) & (sK3 = Y0)) | ((f0 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f0 = (^[Y1 : $o]: (Y1))))) | ((f0 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK2) | spl4_2),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f49])).
% 8.86/2.46 thf(f428,plain,(
% 8.86/2.46 spl4_33 | spl4_31 | spl4_34 | spl4_29 | spl4_2),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f391,f49,f405,f426,f413,f421])).
% 8.86/2.46 thf(f391,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK2 = (sK8 @ X0)) | (sK2 != X0) | (~ = f0) | ((sK8 @ X0) = X0) | (f0 = (^[Y0 : $o]: (Y0))) | (f0 = (^[Y0 : $o]: ($true)))) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f390])).
% 8.86/2.46 thf(f390,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK2 != X0) | ((sK8 @ X0) = X0) | ((f0 = (^[Y0 : $o]: (Y0))) = $true) | (f0 = (^[Y0 : $o]: ($true))) | (~ = f0) | (sK2 = (sK8 @ X0))) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f389])).
% 8.86/2.46 thf(f389,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((f0 = (^[Y0 : $o]: ($true))) = $true) | (sK2 = (sK8 @ X0)) | ((sK8 @ X0) = X0) | ((f0 = (^[Y0 : $o]: (Y0))) = $true) | (sK2 != X0) | (~ = f0)) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f388])).
% 8.86/2.46 thf(f388,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((~ = f0) = $true) | ((f0 = (^[Y0 : $o]: (Y0))) = $true) | ((f0 = (^[Y0 : $o]: ($true))) = $true) | ((sK8 @ X0) = X0) | (sK2 != X0) | (sK2 = (sK8 @ X0))) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f386])).
% 8.86/2.46 thf(f386,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK2 = (sK8 @ X0)) | (((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))) = $true) | ((~ = f0) = $true) | (sK2 != X0) | ((f0 = (^[Y0 : $o]: (Y0))) = $true) | ((sK8 @ X0) = X0)) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f384])).
% 8.86/2.46 thf(f384,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = ((~ = f0) & (sK3 = (sK8 @ X0)))) | (sK2 != X0) | (((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))) = $true) | ((f0 = (^[Y0 : $o]: (Y0))) = $true) | ((sK8 @ X0) = X0) | (sK2 = (sK8 @ X0))) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f383])).
% 8.86/2.46 thf(f383,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))))) | ((sK8 @ X0) = X0) | (sK2 = (sK8 @ X0)) | (sK2 != X0) | ((f0 = (^[Y0 : $o]: (Y0))) = $true)) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f365])).
% 8.86/2.46 thf(f365,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK2 = (sK8 @ X0)) = $true) | ((sK8 @ X0) = X0) | ((f0 = (^[Y0 : $o]: (Y0))) = $true) | ($true = (((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))))) | (sK2 != X0)) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f364])).
% 8.86/2.46 thf(f364,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK8 @ X0) = X0) | ($true = ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0))))) | ((sK2 = (sK8 @ X0)) = $true) | ($true = (((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))))) | (sK2 != X0)) ) | spl4_2),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f329])).
% 8.86/2.46 thf(f329,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (X0 = (sK8 @ X0))) | (sK2 != X0) | ($true = (((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))))) | ($true = ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0))))) | ((sK2 = (sK8 @ X0)) = $true)) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f328])).
% 8.86/2.46 thf(f328,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((f0 = (^[Y0 : $o]: ($false))) & (sK2 = (sK8 @ X0))) = $true) | ($true = (X0 = (sK8 @ X0))) | ($true = (((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0))))) | (sK2 != X0) | ($true = ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0)))))) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f327])).
% 8.86/2.46 thf(f327,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = ((((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0)))) | ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0)))))) | (sK2 != X0) | ($true = (X0 = (sK8 @ X0))) | (((f0 = (^[Y0 : $o]: ($false))) & (sK2 = (sK8 @ X0))) = $true)) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f304])).
% 8.86/2.46 thf(f304,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (((((~ = f0) & (sK3 = (sK8 @ X0))) | ((f0 = (^[Y0 : $o]: ($true))) & (sK1 = (sK8 @ X0)))) | ((sK0 = (sK8 @ X0)) & (f0 = (^[Y0 : $o]: (Y0))))) | ((f0 = (^[Y0 : $o]: ($false))) & (sK2 = (sK8 @ X0))))) | (sK2 != X0) | ($true = (X0 = (sK8 @ X0)))) ) | spl4_2),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f303])).
% 8.86/2.46 thf(f284,plain,(
% 8.86/2.46 ~spl4_5 | spl4_25 | spl4_1),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f124,f45,f282,f202])).
% 8.86/2.46 thf(f45,definition,(
% 8.86/2.46 spl4_1 <=> ((eps @ (^[Y0 : $i]: (((((~ = f2) & (sK3 = Y0)) | ((f2 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f2 = (^[Y1 : $o]: (Y1))))) | ((f2 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) = sK0)),
% 8.86/2.46 introduced(definition,[new_symbols(naming,[spl4_1])],[avatar_definition])).
% 8.86/2.46 thf(f124,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | (f2 != (^[Y0 : $o]: (Y0))) | ((sK7 @ X0) != X0) | (sK0 != (sK7 @ X0))) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f123])).
% 8.86/2.46 thf(f123,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f2 != (^[Y0 : $o]: (Y0))) | (sK0 != X0) | ($false = (sK0 = (sK7 @ X0))) | ((sK7 @ X0) != X0)) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f122])).
% 8.86/2.46 thf(f122,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK7 @ X0) != X0) | ((f2 = (^[Y0 : $o]: (Y0))) = $false) | (sK0 != X0) | ($false = (sK0 = (sK7 @ X0)))) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f112])).
% 8.86/2.46 thf(f112,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | ((sK7 @ X0) != X0) | (((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0)))) = $false)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f111])).
% 8.86/2.46 thf(f111,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | (((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) = $false) | ((sK7 @ X0) != X0)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f109])).
% 8.86/2.46 thf(f109,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((sK7 @ X0) != X0) | (sK0 != X0) | ((((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) | ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) = $false)) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f108])).
% 8.86/2.46 thf(f108,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($false = (X0 = (sK7 @ X0))) | ((((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) | ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) = $false) | (sK0 != X0)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f106])).
% 8.86/2.46 thf(f106,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | ((((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) | ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) != (X0 = (sK7 @ X0)))) ) | spl4_1),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f105])).
% 8.86/2.46 thf(f105,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | (((^[Y0 : $i]: (((((~ = f2) & (sK3 = Y0)) | ((f2 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f2 = (^[Y1 : $o]: (Y1))))) | ((f2 = (^[Y1 : $o]: ($false))) & (sK2 = Y0)))) @ (sK7 @ X0)) != (X0 = (sK7 @ X0)))) ) | spl4_1),
% 8.86/2.46 inference(negative_extensionality,[status(thm)],[f97])).
% 8.86/2.46 thf(f97,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (((= @ X0) != (^[Y0 : $i]: (((((~ = f2) & (sK3 = Y0)) | ((f2 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f2 = (^[Y1 : $o]: (Y1))))) | ((f2 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) | (sK0 != X0)) ) | spl4_1),
% 8.86/2.46 inference(constrained_superposition,[status(thm)],[f47,f65])).
% 8.86/2.46 thf(f47,plain,(
% 8.86/2.46 ((eps @ (^[Y0 : $i]: (((((~ = f2) & (sK3 = Y0)) | ((f2 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f2 = (^[Y1 : $o]: (Y1))))) | ((f2 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK0) | spl4_1),
% 8.86/2.46 inference(avatar_component_clause,[status(thm)],[f45])).
% 8.86/2.46 thf(f276,plain,(
% 8.86/2.46 spl4_23 | spl4_9 | spl4_7 | spl4_12 | spl4_1),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f143,f45,f230,f210,f218,f274])).
% 8.86/2.46 thf(f143,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((~ = f2) | (f2 = (^[Y0 : $o]: ($false))) | (f2 = (^[Y0 : $o]: ($true))) | ((sK7 @ X0) = X0) | (sK0 = (sK7 @ X0)) | (sK0 != X0)) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f142])).
% 8.86/2.46 thf(f142,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | (~ = f2) | (sK0 = (sK7 @ X0)) | ((sK7 @ X0) = X0) | ((f2 = (^[Y0 : $o]: ($true))) = $true) | (f2 = (^[Y0 : $o]: ($false)))) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f141])).
% 8.86/2.46 thf(f141,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((f2 = (^[Y0 : $o]: ($false))) | ((~ = f2) = $true) | (sK0 != X0) | ((sK7 @ X0) = X0) | (sK0 = (sK7 @ X0)) | ((f2 = (^[Y0 : $o]: ($true))) = $true)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f139])).
% 8.86/2.46 thf(f139,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | (((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0))) = $true) | (sK0 = (sK7 @ X0)) | (f2 = (^[Y0 : $o]: ($false))) | ((sK7 @ X0) = X0) | ((~ = f2) = $true)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f137])).
% 8.86/2.46 thf(f137,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 = (sK7 @ X0)) | ((sK7 @ X0) = X0) | ($true = ((~ = f2) & (sK3 = (sK7 @ X0)))) | (((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0))) = $true) | (f2 = (^[Y0 : $o]: ($false))) | (sK0 != X0)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f136])).
% 8.86/2.46 thf(f136,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 = (sK7 @ X0)) | ((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) = $true) | ((sK7 @ X0) = X0) | (f2 = (^[Y0 : $o]: ($false))) | (sK0 != X0)) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f135])).
% 8.86/2.46 thf(f135,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (f2 = (^[Y0 : $o]: ($false)))) | (sK0 != X0) | ((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) = $true) | ((sK7 @ X0) = X0) | (sK0 = (sK7 @ X0))) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f133])).
% 8.86/2.46 thf(f133,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) | (sK0 != X0) | ((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) = $true) | ((sK7 @ X0) = X0) | (sK0 = (sK7 @ X0))) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f132])).
% 8.86/2.46 thf(f132,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (sK0 = (sK7 @ X0))) | ((sK7 @ X0) = X0) | ((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) = $true) | (sK0 != X0) | ($true = ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0))))) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f130])).
% 8.86/2.46 thf(f130,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0)))) = $true) | ($true = ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) | ((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) = $true) | (sK0 != X0) | ((sK7 @ X0) = X0)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f129])).
% 8.86/2.46 thf(f129,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | (((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) = $true) | ((sK7 @ X0) = X0) | ($true = ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0))))) ) | spl4_1),
% 8.86/2.46 inference(equality_proxy_clausification,[status(thm)],[f128])).
% 8.86/2.46 thf(f128,plain,(
% 8.86/2.46 ( ! [X0 : $i] : (($true = (X0 = (sK7 @ X0))) | (((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) = $true) | ($true = ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) | (sK0 != X0)) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f107])).
% 8.86/2.46 thf(f107,plain,(
% 8.86/2.46 ( ! [X0 : $i] : ((sK0 != X0) | ((((((~ = f2) & (sK3 = (sK7 @ X0))) | ((f2 = (^[Y0 : $o]: ($true))) & (sK1 = (sK7 @ X0)))) | ((sK0 = (sK7 @ X0)) & (f2 = (^[Y0 : $o]: (Y0))))) | ((f2 = (^[Y0 : $o]: ($false))) & (sK2 = (sK7 @ X0)))) = $true) | ($true = (X0 = (sK7 @ X0)))) ) | spl4_1),
% 8.86/2.46 inference(binary_proxy_clausification,[status(thm)],[f106])).
% 8.86/2.46 thf(f60,plain,(
% 8.86/2.46 ~spl4_1 | ~spl4_2 | ~spl4_3 | ~spl4_4),
% 8.86/2.46 inference(avatar_split_clause,[status(thm)],[f43,f57,f53,f49,f45])).
% 8.86/2.46 thf(f43,plain,(
% 8.86/2.46 ((eps @ (^[Y0 : $i]: (((((~ = f2) & (sK3 = Y0)) | ((f2 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f2 = (^[Y1 : $o]: (Y1))))) | ((f2 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK0) | ((eps @ (^[Y0 : $i]: (((((~ = f3) & (sK3 = Y0)) | ((f3 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f3 = (^[Y1 : $o]: (Y1))))) | ((f3 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK1) | ((eps @ (^[Y0 : $i]: (((((~ = f0) & (sK3 = Y0)) | ((f0 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f0 = (^[Y1 : $o]: (Y1))))) | ((f0 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK2) | ((eps @ (^[Y0 : $i]: (((((~ = f1) & (sK3 = Y0)) | ((f1 = (^[Y1 : $o]: ($true))) & (sK1 = Y0))) | ((sK0 = Y0) & (f1 = (^[Y1 : $o]: (Y1))))) | ((f1 = (^[Y1 : $o]: ($false))) & (sK2 = Y0))))) != sK3)),
% 8.86/2.46 inference(beta_eta_normalization,[status(thm)],[f42])).
% 8.86/2.46 thf(f42,plain,(
% 8.86/2.46 (((^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & (Y0 = (^[Y6 : $o]: (Y6))))) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5)))))))))))))) @ f2 @ sK2 @ sK3 @ sK0 @ sK1) != sK0) | (sK1 != ((^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & (Y0 = (^[Y6 : $o]: (Y6))))) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5)))))))))))))) @ f3 @ sK2 @ sK3 @ sK0 @ sK1)) | (sK3 != ((^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & (Y0 = (^[Y6 : $o]: (Y6))))) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5)))))))))))))) @ f1 @ sK2 @ sK3 @ sK0 @ sK1)) | (((^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & (Y0 = (^[Y6 : $o]: (Y6))))) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5)))))))))))))) @ f0 @ sK2 @ sK3 @ sK0 @ sK1) != sK2)),
% 8.86/2.46 inference(definition_unfolding,[status(thm)],[f35,f32,f32,f32,f32])).
% 8.86/2.46 thf(f32,plain,(
% 8.86/2.46 (case = (^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & (Y0 = (^[Y6 : $o]: (Y6))))) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5)))))))))))))))),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f20])).
% 8.86/2.46 thf(f20,plain,(
% 8.86/2.46 (case = (^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & (Y0 = (^[Y6 : $o]: (Y6))))) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5)))))))))))))))),
% 8.86/2.46 inference(fool_elimination,[status(thm)],[f19])).
% 8.86/2.46 thf(f19,plain,(
% 8.86/2.46 (case = (^[X0 : $o > $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i] : (eps @ (^[X5 : $i] : (((X1 = X5) & (X0 = (^[X6 : $o] : ($false)))) | ((X0 = (^[X7 : $o] : (X7))) & (X3 = X5)) | ((X4 = X5) & (X0 = (^[X8 : $o] : ($true)))) | ((X2 = X5) & (~ = X0)))))))),
% 8.86/2.46 inference(rectify,[status(thm)],[f2])).
% 8.86/2.46 thf(f2,axiom,(
% 8.86/2.46 (case = (^[X2 : $o > $o, X1 : $i, X3 : $i, X4 : $i, X5 : $i] : (eps @ (^[X6 : $i] : (((X1 = X6) & (X2 = (^[X7 : $o] : ($false)))) | ((X2 = (^[X7 : $o] : (X7))) & (X4 = X6)) | ((X5 = X6) & (X2 = (^[X7 : $o] : ($true)))) | ((X3 = X6) & (~ = X2)))))))),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',caseood)).
% 8.86/2.46 thf(f35,plain,(
% 8.86/2.46 ((case @ f3 @ sK2 @ sK3 @ sK0 @ sK1) != sK1) | ((case @ f0 @ sK2 @ sK3 @ sK0 @ sK1) != sK2) | ((case @ f1 @ sK2 @ sK3 @ sK0 @ sK1) != sK3) | ((case @ f2 @ sK2 @ sK3 @ sK0 @ sK1) != sK0)),
% 8.86/2.46 inference(cnf_transformation,[status(thm)],[f30])).
% 8.86/2.46 thf(f30,plain,(
% 8.86/2.46 ((case @ f3 @ sK2 @ sK3 @ sK0 @ sK1) != sK1) | ((case @ f0 @ sK2 @ sK3 @ sK0 @ sK1) != sK2) | ((case @ f1 @ sK2 @ sK3 @ sK0 @ sK1) != sK3) | ((case @ f2 @ sK2 @ sK3 @ sK0 @ sK1) != sK0)),
% 8.86/2.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f27,f29])).
% 8.86/2.46 thf(f29,plain,(
% 8.86/2.46 ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((case @ f3 @ X2 @ X3 @ X0 @ X1) != X1) | ((case @ f0 @ X2 @ X3 @ X0 @ X1) != X2) | ((case @ f1 @ X2 @ X3 @ X0 @ X1) != X3) | ((case @ f2 @ X2 @ X3 @ X0 @ X1) != X0)) => (((case @ f3 @ sK2 @ sK3 @ sK0 @ sK1) != sK1) | ((case @ f0 @ sK2 @ sK3 @ sK0 @ sK1) != sK2) | ((case @ f1 @ sK2 @ sK3 @ sK0 @ sK1) != sK3) | ((case @ f2 @ sK2 @ sK3 @ sK0 @ sK1) != sK0))),
% 8.86/2.46 introduced(definition,[],[choice_axiom])).
% 8.86/2.46 thf(f27,plain,(
% 8.86/2.46 ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((case @ f3 @ X2 @ X3 @ X0 @ X1) != X1) | ((case @ f0 @ X2 @ X3 @ X0 @ X1) != X2) | ((case @ f1 @ X2 @ X3 @ X0 @ X1) != X3) | ((case @ f2 @ X2 @ X3 @ X0 @ X1) != X0))),
% 8.86/2.46 inference(ennf_transformation,[status(thm)],[f26])).
% 8.86/2.46 thf(f26,plain,(
% 8.86/2.46 ~! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((case @ f3 @ X2 @ X3 @ X0 @ X1) = X1) & ((case @ f2 @ X2 @ X3 @ X0 @ X1) = X0) & ((case @ f0 @ X2 @ X3 @ X0 @ X1) = X2) & ((case @ f1 @ X2 @ X3 @ X0 @ X1) = X3))),
% 8.86/2.46 inference(rectify,[status(thm)],[f12])).
% 8.86/2.46 thf(f12,negated_conjecture,(
% 8.86/2.46 ~! [X4 : $i,X5 : $i,X1 : $i,X3 : $i] : (((case @ f3 @ X1 @ X3 @ X4 @ X5) = X5) & ((case @ f1 @ X1 @ X3 @ X4 @ X5) = X3) & ((case @ f2 @ X1 @ X3 @ X4 @ X5) = X4) & ((case @ f0 @ X1 @ X3 @ X4 @ X5) = X1))),
% 8.86/2.46 inference(negated_conjecture,[status(cth)],[f11])).
% 8.86/2.46 thf(f11,conjecture,(
% 8.86/2.46 ! [X4 : $i,X5 : $i,X1 : $i,X3 : $i] : (((case @ f3 @ X1 @ X3 @ X4 @ X5) = X5) & ((case @ f1 @ X1 @ X3 @ X4 @ X5) = X3) & ((case @ f2 @ X1 @ X3 @ X4 @ X5) = X4) & ((case @ f0 @ X1 @ X3 @ X4 @ X5) = X1))),
% 8.86/2.46 file('/export/starexec/sandbox2/tmp/tmp.7AEnq8DDFs/DTF2THF_22374.p',conj)).
% 8.86/2.46 % SZS output end Proof for DTF2THF_22374
% 8.86/2.46 % (22900)------------------------------
% 8.86/2.46 % (22900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.46 % (22900)Termination reason: Refutation
% 8.86/2.46
% 8.86/2.46 % (22900)Memory used [KB]: 7164
% 8.86/2.46 % (22900)Time elapsed: 0.154 s
% 8.86/2.46 % (22900)Instructions burned: 447 (million)
% 8.86/2.46 % (22900)------------------------------
% 8.86/2.46 % (22900)------------------------------
% 8.86/2.46 % (22530)Success in time 1.153 s
%------------------------------------------------------------------------------