%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR132^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 08:43:05 AM UTC 2026
% Result : Theorem 5.84s 2.24s
% Output : Refutation 5.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR132^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.31 % Computer : n001.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Feb 24 05:49:20 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.42 ---- Original DTF file ---
% 0.18/0.42 thf(spec,logic,$$dhol).
% 0.18/0.42 %------------------------------------------------------------------------------
% 0.18/0.42 % File : CSR132^1 : TPTP v9.2.1. Released v4.1.0.
% 0.18/0.42 % Domain : Commonsense Reasoning
% 0.18/0.42 % Problem : In 2009, what's the feeling for Bill and Anna?
% 0.18/0.42 % Version : Especial.
% 0.18/0.42 % English : In the context of year 2009: Do there exist relations ?R and ?Q
% 0.18/0.42 % so that ?R holds between a person ?Y and Bill and ?Q between ?Y
% 0.18/0.42 % and Anna.
% 0.18/0.42
% 0.18/0.42 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.18/0.42 % Source : [Ben10]
% 0.18/0.42 % Names : ef_rv_4.tq_SUMO_local [Ben10]
% 0.18/0.42
% 0.18/0.42 % Status : Theorem
% 0.18/0.42 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.86 v6.0.0, 0.71 v5.5.0, 0.67 v5.4.0, 0.60 v5.2.0, 0.80 v5.1.0, 1.00 v5.0.0, 0.80 v4.1.0
% 0.18/0.42 % Syntax : Number of formulae : 22 ( 0 unt; 12 typ; 0 def)
% 0.18/0.42 % Number of atoms : 27 ( 2 equ; 4 cnn)
% 0.18/0.42 % Maximal formula atoms : 5 ( 2 avg)
% 0.18/0.42 % Number of connectives : 63 ( 4 ~; 0 |; 3 &; 56 @)
% 0.18/0.42 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.42 % Maximal formula depth : 9 ( 5 avg)
% 0.18/0.42 % Number of types : 3 ( 1 usr)
% 0.18/0.42 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.18/0.42 % Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% 0.18/0.42 % Number of variables : 11 ( 4 ^; 0 !; 7 ?; 11 :)
% 0.18/0.42 % SPC : TH0_THM_EQU_NAR
% 0.18/0.42
% 0.18/0.42 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.18/0.42 % Initally the problem has been hand generated in KIF syntax in
% 0.18/0.42 % SigmaKEE and then automatically translated by Benzmueller's
% 0.18/0.42 % KIF2TH0 translator into THF syntax.
% 0.18/0.42 % : The translation has been applied in two modes: local and SInE.
% 0.18/0.42 % The local mode only translates the local assumptions and the
% 0.18/0.42 % query. The SInE mode additionally translates the SInE-extract
% 0.18/0.42 % of the loaded knowledge base (usually SUMO).
% 0.18/0.42 % : The examples are selected to illustrate the benefits of
% 0.18/0.42 % higher-order reasoning in ontology reasoning.
% 0.18/0.42 %------------------------------------------------------------------------------
% 0.18/0.42 %----The extracted signature
% 0.18/0.42 thf(numbers,type,
% 0.18/0.42 num: $tType ).
% 0.18/0.42
% 0.18/0.42 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.18/0.42
% 0.18/0.42 thf(lAnna_THFTYPE_i,type,
% 0.18/0.42 lAnna_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(lBen_THFTYPE_i,type,
% 0.18/0.42 lBen_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(lBill_THFTYPE_i,type,
% 0.18/0.42 lBill_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(lBob_THFTYPE_i,type,
% 0.18/0.42 lBob_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(lMary_THFTYPE_i,type,
% 0.18/0.42 lMary_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(lSue_THFTYPE_i,type,
% 0.18/0.42 lSue_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(lYearFn_THFTYPE_IiiI,type,
% 0.18/0.42 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.18/0.42
% 0.18/0.42 thf(likes_THFTYPE_IiioI,type,
% 0.18/0.42 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.42
% 0.18/0.42 thf(n2009_THFTYPE_i,type,
% 0.18/0.42 n2009_THFTYPE_i: $i ).
% 0.18/0.42
% 0.18/0.42 thf(parent_THFTYPE_IiioI,type,
% 0.18/0.42 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.42
% 0.18/0.42 %----The translated axioms
% 0.18/0.42 thf(ax,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_001,axiom,
% 0.18/0.42 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.18/0.42 @ ? [X: $i,Y: $i] : ( (~) @ ( parent_THFTYPE_IiioI @ X @ Y ) ) ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_002,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_003,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_004,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_005,axiom,
% 0.18/0.42 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.18/0.42 @ ? [X: $i,Y: $i] : ( (~) @ ( likes_THFTYPE_IiioI @ X @ Y ) ) ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_006,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_007,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 thf(ax_008,axiom,
% 0.18/0.42 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.18/0.42
% 0.18/0.42 %----The translated conjecture
% 0.18/0.42 thf(con,conjecture,
% 0.18/0.42 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 0.18/0.42 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.18/0.42 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 0.18/0.42 & ( Q @ Y @ lAnna_THFTYPE_i )
% 0.18/0.42 & ( (~)
% 0.18/0.42 @ ( R
% 0.18/0.42 = ( ^ [Z: $i,W: $i] : $true ) ) )
% 0.18/0.42 & ( (~)
% 0.18/0.42 @ ( Q
% 0.18/0.42 = ( ^ [Z: $i,W: $i] : $true ) ) ) ) ) ).
% 0.18/0.42
% 0.18/0.42 %------------------------------------------------------------------------------
% 0.18/0.42 ------------------------
% 1.87/1.53 ---- Embedded in THF ---
% 1.87/1.53 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.87/1.53 %%% Generated on Tue Feb 24 05:49:21 EST 2026
% 1.87/1.53 %%% using '$$dhol' embedding, version 1.3.0.
% 1.87/1.53 %%% Logic specification used:
% 1.87/1.53 %%% thf(spec, logic, $$dhol).
% 1.87/1.53
% 1.87/1.53 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.6PriUAEUxK/DTF2DTF12912.p
% 1.87/1.53 thf(numbers, type, num: $tType).
% 1.87/1.53 thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 1.87/1.53 thf(lAnna_THFTYPE_i, type, lAnna_THFTYPE_i: $i).
% 1.87/1.53 thf(lBen_THFTYPE_i, type, lBen_THFTYPE_i: $i).
% 1.87/1.53 thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 1.87/1.53 thf(lBob_THFTYPE_i, type, lBob_THFTYPE_i: $i).
% 1.87/1.53 thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 1.87/1.53 thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 1.87/1.53 thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.87/1.53 thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.87/1.53 thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 1.87/1.53 thf(parent_THFTYPE_IiioI, type, parent_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.87/1.53 thf(ax, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lAnna_THFTYPE_i))).
% 1.87/1.53 thf(ax_001, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ (? [X:$i,Y:$i]: (((~) @ ((parent_THFTYPE_IiioI @ X) @ Y)))))).
% 1.87/1.53 thf(ax_002, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBen_THFTYPE_i))).
% 1.87/1.53 thf(ax_003, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.87/1.53 thf(ax_004, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.87/1.53 thf(ax_005, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ (? [X:$i,Y:$i]: (((~) @ ((likes_THFTYPE_IiioI @ X) @ Y)))))).
% 1.87/1.53 thf(ax_006, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.87/1.53 thf(ax_007, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lAnna_THFTYPE_i))).
% 1.87/1.53 thf(ax_008, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBen_THFTYPE_i))).
% 1.87/1.53 thf(con, conjecture, (? [Q:($i > ($i > $o)),R:($i > ($i > $o)),Y:$i]: (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ (((R @ Y) @ lBill_THFTYPE_i) & (((Q @ Y) @ lAnna_THFTYPE_i) & (((~) @ (R = (^ [Z:$i,W:$i]: ($true)))) & ((~) @ (Q = (^ [Z:$i,W:$i]: ($true))))))))))).
% 1.87/1.53 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.6PriUAEUxK/DTF2DTF12912.p
% 1.87/1.53 ------------------------
% 1.87/1.54 ---- Cleaned THF ---
% 1.87/1.54 thf(numbers,type,
% 1.87/1.54 num: $tType ).
% 1.87/1.54
% 1.87/1.54 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.87/1.54
% 1.87/1.54 thf(lAnna_THFTYPE_i,type,
% 1.87/1.54 lAnna_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(lBen_THFTYPE_i,type,
% 1.87/1.54 lBen_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(lBill_THFTYPE_i,type,
% 1.87/1.54 lBill_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(lBob_THFTYPE_i,type,
% 1.87/1.54 lBob_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(lMary_THFTYPE_i,type,
% 1.87/1.54 lMary_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(lSue_THFTYPE_i,type,
% 1.87/1.54 lSue_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(lYearFn_THFTYPE_IiiI,type,
% 1.87/1.54 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.87/1.54
% 1.87/1.54 thf(likes_THFTYPE_IiioI,type,
% 1.87/1.54 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.87/1.54
% 1.87/1.54 thf(n2009_THFTYPE_i,type,
% 1.87/1.54 n2009_THFTYPE_i: $i ).
% 1.87/1.54
% 1.87/1.54 thf(parent_THFTYPE_IiioI,type,
% 1.87/1.54 parent_THFTYPE_IiioI: $i > $i > $o ).
% 1.87/1.54
% 1.87/1.54 thf(ax,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_001,axiom,
% 1.87/1.54 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.87/1.54 @ ? [X: $i,Y: $i] : ( (~) @ ( parent_THFTYPE_IiioI @ X @ Y ) ) ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_002,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_003,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_004,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_005,axiom,
% 1.87/1.54 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.87/1.54 @ ? [X: $i,Y: $i] : ( (~) @ ( likes_THFTYPE_IiioI @ X @ Y ) ) ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_006,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_007,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(ax_008,axiom,
% 1.87/1.54 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 1.87/1.54
% 1.87/1.54 thf(con,conjecture,
% 1.87/1.54 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 1.87/1.54 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.87/1.54 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 1.87/1.54 & ( Q @ Y @ lAnna_THFTYPE_i )
% 1.87/1.54 & ( (~)
% 1.87/1.54 @ ( R
% 1.87/1.54 = ( ^ [Z: $i,W: $i] : $true ) ) )
% 1.87/1.54 & ( (~)
% 1.87/1.54 @ ( Q
% 1.87/1.54 = ( ^ [Z: $i,W: $i] : $true ) ) ) ) ) ).
% 1.87/1.54 ------------------------
% 1.87/1.56 % (13011)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_12912 for (2999ds/4Mi)
% 1.87/1.56 % (13015)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_12912 for (2999ds/275Mi)
% 1.87/1.56 % (13014)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_12912 for (2999ds/2Mi)
% 1.87/1.56 % (13013)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/2Mi)
% 1.87/1.56 % (13010)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/183Mi)
% 1.87/1.56 % (13016)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/18Mi)
% 1.87/1.56 % (13013)Instruction limit reached!
% 1.87/1.56 % (13013)------------------------------
% 1.87/1.56 % (13013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56 % (13013)Termination reason: Unknown
% 1.87/1.56 % (13012)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_12912 for (2999ds/27Mi)
% 1.87/1.56 % (13013)Termination phase: Property scanning
% 1.87/1.56
% 1.87/1.56 % (13013)Memory used [KB]: 895
% 1.87/1.56 % (13013)Time elapsed: 0.002 s
% 1.87/1.56 % (13013)Instructions burned: 2 (million)
% 1.87/1.56 % (13013)------------------------------
% 1.87/1.56 % (13013)------------------------------
% 1.87/1.56 % (13014)Instruction limit reached!
% 1.87/1.56 % (13014)------------------------------
% 1.87/1.56 % (13014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56 % (13014)Termination reason: Unknown
% 1.87/1.56 % (13014)Termination phase: Preprocessing 3
% 1.87/1.56
% 1.87/1.56 % (13014)Memory used [KB]: 1023
% 1.87/1.56 % (13014)Time elapsed: 0.003 s
% 1.87/1.56 % (13014)Instructions burned: 2 (million)
% 1.87/1.56 % (13014)------------------------------
% 1.87/1.56 % (13014)------------------------------
% 1.87/1.56 % (13015)Refutation not found, incomplete strategy
% 1.87/1.56 % (13015)------------------------------
% 1.87/1.56 % (13015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56 % (13015)Termination reason: Refutation not found, incomplete strategy
% 1.87/1.56
% 1.87/1.56
% 1.87/1.56 % (13015)Memory used [KB]: 5500
% 1.87/1.56 % (13015)Time elapsed: 0.004 s
% 1.87/1.56 % (13015)Instructions burned: 3 (million)
% 1.87/1.56 % (13015)------------------------------
% 1.87/1.56 % (13015)------------------------------
% 1.87/1.56 % (13011)Instruction limit reached!
% 1.87/1.56 % (13011)------------------------------
% 1.87/1.56 % (13011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56 % (13011)Termination reason: Unknown
% 1.87/1.56 % (13011)Termination phase: Saturation
% 1.87/1.56
% 1.87/1.56 % (13011)Memory used [KB]: 5500
% 1.87/1.56 % (13011)Time elapsed: 0.005 s
% 1.87/1.56 % (13011)Instructions burned: 5 (million)
% 1.87/1.56 % (13011)------------------------------
% 1.87/1.56 % (13011)------------------------------
% 1.87/1.57 % (13012)Refutation not found, incomplete strategy
% 1.87/1.57 % (13012)------------------------------
% 1.87/1.57 % (13012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.57 % (13012)Termination reason: Refutation not found, incomplete strategy
% 1.87/1.57
% 1.87/1.57
% 1.87/1.57 % (13012)Memory used [KB]: 5500
% 1.87/1.57 % (13012)Time elapsed: 0.006 s
% 1.87/1.57 % (13012)Instructions burned: 7 (million)
% 1.87/1.57 % (13012)------------------------------
% 1.87/1.57 % (13012)------------------------------
% 1.87/1.57 % (13016)Instruction limit reached!
% 1.87/1.57 % (13016)------------------------------
% 1.87/1.57 % (13016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.57 % (13016)Termination reason: Unknown
% 1.87/1.57 % (13016)Termination phase: Saturation
% 1.87/1.57
% 1.87/1.57 % (13016)Memory used [KB]: 5500
% 1.87/1.57 % (13016)Time elapsed: 0.011 s
% 1.87/1.57 % (13016)Instructions burned: 18 (million)
% 1.87/1.57 % (13016)------------------------------
% 1.87/1.57 % (13016)------------------------------
% 1.87/1.58 % (13019)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_12912 for (2999ds/15Mi)
% 1.87/1.58 % (13017)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/3Mi)
% 1.87/1.58 % (13018)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_12912 for (2999ds/37Mi)
% 1.87/1.58 % (13017)Instruction limit reached!
% 1.87/1.58 % (13017)------------------------------
% 1.87/1.58 % (13017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.58 % (13017)Termination reason: Unknown
% 1.87/1.58 % (13017)Termination phase: Saturation
% 1.87/1.58
% 1.87/1.58 % (13017)Memory used [KB]: 5500
% 1.87/1.58 % (13017)Time elapsed: 0.003 s
% 1.87/1.58 % (13017)Instructions burned: 3 (million)
% 1.87/1.58 % (13017)------------------------------
% 1.87/1.58 % (13017)------------------------------
% 1.87/1.58 % (13020)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_12912 for (2999ds/3Mi)
% 1.87/1.58 % (13020)Instruction limit reached!
% 1.87/1.58 % (13020)------------------------------
% 1.87/1.58 % (13020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.58 % (13020)Termination reason: Unknown
% 1.87/1.58 % (13020)Termination phase: Saturation
% 1.87/1.58
% 1.87/1.58 % (13020)Memory used [KB]: 5500
% 1.87/1.58 % (13020)Time elapsed: 0.003 s
% 1.87/1.58 % (13020)Instructions burned: 3 (million)
% 1.87/1.58 % (13020)------------------------------
% 1.87/1.58 % (13020)------------------------------
% 1.87/1.59 % (13021)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_12912 for (2999ds/1041Mi)
% 1.87/1.59 % (13019)Instruction limit reached!
% 1.87/1.59 % (13019)------------------------------
% 1.87/1.59 % (13019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.59 % (13019)Termination reason: Unknown
% 1.87/1.59 % (13019)Termination phase: Saturation
% 1.87/1.59
% 1.87/1.59 % (13019)Memory used [KB]: 5628
% 1.87/1.59 % (13019)Time elapsed: 0.010 s
% 1.87/1.59 % (13019)Instructions burned: 16 (million)
% 1.87/1.59 % (13019)------------------------------
% 1.87/1.59 % (13019)------------------------------
% 1.87/1.59 % (13022)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/7Mi)
% 1.87/1.59 % (13021)Refutation not found, incomplete strategy
% 1.87/1.59 % (13021)------------------------------
% 1.87/1.59 % (13021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.59 % (13021)Termination reason: Refutation not found, incomplete strategy
% 1.87/1.59
% 1.87/1.59
% 1.87/1.59 % (13021)Memory used [KB]: 5500
% 1.87/1.59 % (13021)Time elapsed: 0.008 s
% 1.87/1.59 % (13021)Instructions burned: 11 (million)
% 1.87/1.59 % (13021)------------------------------
% 1.87/1.59 % (13021)------------------------------
% 1.87/1.59 % (13022)Instruction limit reached!
% 1.87/1.59 % (13022)------------------------------
% 1.87/1.59 % (13022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.59 % (13022)Termination reason: Unknown
% 1.87/1.59 % (13022)Termination phase: Saturation
% 1.87/1.59
% 1.87/1.59 % (13022)Memory used [KB]: 1023
% 1.87/1.59 % (13022)Time elapsed: 0.006 s
% 1.87/1.59 % (13022)Instructions burned: 7 (million)
% 1.87/1.59 % (13022)------------------------------
% 1.87/1.59 % (13022)------------------------------
% 1.93/1.60 % (13023)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/16Mi)
% 1.93/1.60 % (13018)Instruction limit reached!
% 1.93/1.60 % (13018)------------------------------
% 1.93/1.60 % (13018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.60 % (13018)Termination reason: Unknown
% 1.93/1.60 % (13018)Termination phase: Saturation
% 1.93/1.60
% 1.93/1.60 % (13018)Memory used [KB]: 5884
% 1.93/1.60 % (13018)Time elapsed: 0.021 s
% 1.93/1.60 % (13018)Instructions burned: 37 (million)
% 1.93/1.60 % (13018)------------------------------
% 1.93/1.60 % (13018)------------------------------
% 1.93/1.60 % (13024)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_12912 for (2999ds/3Mi)
% 1.93/1.60 % (13024)Instruction limit reached!
% 1.93/1.60 % (13024)------------------------------
% 1.93/1.60 % (13024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.60 % (13024)Termination reason: Unknown
% 1.93/1.60 % (13024)Termination phase: Property scanning
% 1.93/1.60
% 1.93/1.60 % (13024)Memory used [KB]: 1023
% 1.93/1.60 % (13024)Time elapsed: 0.004 s
% 1.93/1.60 % (13024)Instructions burned: 4 (million)
% 1.93/1.60 % (13024)------------------------------
% 1.93/1.60 % (13024)------------------------------
% 1.93/1.60 % (13025)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_12912 for (2999ds/3Mi)
% 1.93/1.61 % (13025)Instruction limit reached!
% 1.93/1.61 % (13025)------------------------------
% 1.93/1.61 % (13025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.61 % (13025)Termination reason: Unknown
% 1.93/1.61 % (13025)Termination phase: Property scanning
% 1.93/1.61
% 1.93/1.61 % (13025)Memory used [KB]: 1023
% 1.93/1.61 % (13025)Time elapsed: 0.003 s
% 1.93/1.61 % (13025)Instructions burned: 4 (million)
% 1.93/1.61 % (13025)------------------------------
% 1.93/1.61 % (13025)------------------------------
% 1.93/1.61 % (13023)Instruction limit reached!
% 1.93/1.61 % (13023)------------------------------
% 1.93/1.61 % (13023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.61 % (13023)Termination reason: Unknown
% 1.93/1.61 % (13023)Termination phase: Saturation
% 1.93/1.61
% 1.93/1.61 % (13023)Memory used [KB]: 5628
% 1.93/1.61 % (13023)Time elapsed: 0.011 s
% 1.93/1.61 % (13023)Instructions burned: 16 (million)
% 1.93/1.61 % (13023)------------------------------
% 1.93/1.61 % (13023)------------------------------
% 1.93/1.61 % (13026)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/7Mi)
% 1.93/1.61 % (13027)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/3Mi)
% 1.93/1.61 % (13027)Instruction limit reached!
% 1.93/1.61 % (13027)------------------------------
% 1.93/1.61 % (13027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.61 % (13027)Termination reason: Unknown
% 1.93/1.61 % (13027)Termination phase: Saturation
% 1.93/1.61
% 1.93/1.61 % (13027)Memory used [KB]: 1023
% 1.93/1.61 % (13027)Time elapsed: 0.003 s
% 1.93/1.61 % (13027)Instructions burned: 3 (million)
% 1.93/1.61 % (13027)------------------------------
% 1.93/1.61 % (13027)------------------------------
% 1.93/1.61 % (13026)Instruction limit reached!
% 1.93/1.61 % (13026)------------------------------
% 1.93/1.61 % (13026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.61 % (13026)Termination reason: Unknown
% 1.93/1.61 % (13026)Termination phase: Saturation
% 1.93/1.61
% 1.93/1.61 % (13026)Memory used [KB]: 5500
% 1.93/1.61 % (13026)Time elapsed: 0.006 s
% 1.93/1.61 % (13026)Instructions burned: 8 (million)
% 1.93/1.61 % (13026)------------------------------
% 1.93/1.61 % (13026)------------------------------
% 1.93/1.62 % (13029)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/4Mi)
% 1.93/1.62 % (13029)Instruction limit reached!
% 1.93/1.62 % (13029)------------------------------
% 1.93/1.62 % (13029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.62 % (13029)Termination reason: Unknown
% 1.93/1.62 % (13029)Termination phase: Saturation
% 1.93/1.62
% 1.93/1.62 % (13029)Memory used [KB]: 5500
% 1.93/1.62 % (13029)Time elapsed: 0.004 s
% 1.93/1.62 % (13029)Instructions burned: 4 (million)
% 1.93/1.62 % (13029)------------------------------
% 1.93/1.62 % (13029)------------------------------
% 1.93/1.62 % (13030)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/18Mi)
% 1.93/1.62 % (13031)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/710Mi)
% 1.93/1.63 % (13030)Refutation not found, incomplete strategy
% 1.93/1.63 % (13030)------------------------------
% 1.93/1.63 % (13030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.63 % (13030)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.63
% 1.93/1.63
% 1.93/1.63 % (13030)Memory used [KB]: 5500
% 1.93/1.63 % (13030)Time elapsed: 0.005 s
% 1.93/1.63 % (13030)Instructions burned: 6 (million)
% 1.93/1.63 % (13030)------------------------------
% 1.93/1.63 % (13030)------------------------------
% 1.93/1.63 % (13032)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/6Mi)
% 1.93/1.63 % (13032)Instruction limit reached!
% 1.93/1.63 % (13032)------------------------------
% 1.93/1.63 % (13032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.63 % (13032)Termination reason: Unknown
% 1.93/1.63 % (13032)Termination phase: Saturation
% 1.93/1.63
% 1.93/1.63 % (13032)Memory used [KB]: 5500
% 1.93/1.63 % (13032)Time elapsed: 0.005 s
% 1.93/1.63 % (13032)Instructions burned: 6 (million)
% 1.93/1.63 % (13032)------------------------------
% 1.93/1.63 % (13032)------------------------------
% 1.93/1.63 % (13033)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_12912 for (2999ds/902Mi)
% 1.93/1.63 % (13034)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_12912 for (2999ds/21Mi)
% 1.93/1.63 % (13033)Refutation not found, incomplete strategy
% 1.93/1.63 % (13033)------------------------------
% 1.93/1.63 % (13033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.63 % (13033)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.63
% 1.93/1.63
% 1.93/1.63 % (13033)Memory used [KB]: 5500
% 1.93/1.63 % (13033)Time elapsed: 0.004 s
% 1.93/1.63 % (13033)Instructions burned: 4 (million)
% 1.93/1.63 % (13033)------------------------------
% 1.93/1.63 % (13033)------------------------------
% 1.93/1.64 % (13035)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/5Mi)
% 1.93/1.64 % (13035)Instruction limit reached!
% 1.93/1.64 % (13035)------------------------------
% 1.93/1.64 % (13035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.64 % (13035)Termination reason: Unknown
% 1.93/1.64 % (13035)Termination phase: Saturation
% 1.93/1.64
% 1.93/1.64 % (13035)Memory used [KB]: 5500
% 1.93/1.64 % (13035)Time elapsed: 0.005 s
% 1.93/1.64 % (13035)Instructions burned: 5 (million)
% 1.93/1.64 % (13035)------------------------------
% 1.93/1.64 % (13035)------------------------------
% 1.93/1.64 % (13036)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_12912 for (2999ds/6Mi)
% 1.93/1.65 % (13034)Instruction limit reached!
% 1.93/1.65 % (13034)------------------------------
% 1.93/1.65 % (13034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.65 % (13034)Termination reason: Unknown
% 1.93/1.65 % (13034)Termination phase: Saturation
% 1.93/1.65
% 1.93/1.65 % (13034)Memory used [KB]: 5628
% 1.93/1.65 % (13034)Time elapsed: 0.014 s
% 1.93/1.65 % (13034)Instructions burned: 21 (million)
% 1.93/1.65 % (13034)------------------------------
% 1.93/1.65 % (13034)------------------------------
% 1.93/1.65 % (13036)Instruction limit reached!
% 1.93/1.65 % (13036)------------------------------
% 1.93/1.65 % (13036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.65 % (13036)Termination reason: Unknown
% 1.93/1.65 % (13036)Termination phase: Saturation
% 1.93/1.65
% 1.93/1.65 % (13036)Memory used [KB]: 5500
% 1.93/1.65 % (13036)Time elapsed: 0.006 s
% 1.93/1.65 % (13036)Instructions burned: 6 (million)
% 1.93/1.65 % (13036)------------------------------
% 1.93/1.65 % (13036)------------------------------
% 1.93/1.65 % (13037)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/377Mi)
% 1.93/1.65 % (13038)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_12912 for (2999ds/779Mi)
% 1.93/1.66 % (13010)Instruction limit reached!
% 1.93/1.66 % (13010)------------------------------
% 1.93/1.66 % (13010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.66 % (13010)Termination reason: Unknown
% 1.93/1.66 % (13010)Termination phase: Saturation
% 1.93/1.66
% 1.93/1.66 % (13010)Memory used [KB]: 6908
% 1.93/1.66 % (13010)Time elapsed: 0.096 s
% 1.93/1.66 % (13010)Instructions burned: 183 (million)
% 1.93/1.66 % (13010)------------------------------
% 1.93/1.66 % (13010)------------------------------
% 1.93/1.66 % (13039)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_12912 for (2999ds/19Mi)
% 1.93/1.66 % (13039)Refutation not found, incomplete strategy
% 1.93/1.66 % (13039)------------------------------
% 1.93/1.66 % (13039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.66 % (13039)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.66
% 1.93/1.66
% 1.93/1.66 % (13039)Memory used [KB]: 5500
% 1.93/1.66 % (13039)Time elapsed: 0.004 s
% 1.93/1.66 % (13039)Instructions burned: 5 (million)
% 1.93/1.66 % (13040)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/879Mi)
% 1.93/1.66 % (13039)------------------------------
% 1.93/1.66 % (13039)------------------------------
% 1.93/1.66 % (13041)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/17Mi)
% 1.93/1.67 % (13040)Refutation not found, incomplete strategy
% 1.93/1.67 % (13040)------------------------------
% 1.93/1.67 % (13040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.67 % (13040)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.67
% 1.93/1.67
% 1.93/1.67 % (13040)Memory used [KB]: 5500
% 1.93/1.67 % (13040)Time elapsed: 0.005 s
% 1.93/1.67 % (13040)Instructions burned: 6 (million)
% 1.93/1.67 % (13040)------------------------------
% 1.93/1.67 % (13040)------------------------------
% 1.93/1.67 % (13041)Instruction limit reached!
% 1.93/1.67 % (13041)------------------------------
% 1.93/1.67 % (13041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.67 % (13041)Termination reason: Unknown
% 1.93/1.67 % (13041)Termination phase: Saturation
% 1.93/1.67
% 1.93/1.67 % (13041)Memory used [KB]: 5628
% 1.93/1.67 % (13041)Time elapsed: 0.011 s
% 1.93/1.67 % (13041)Instructions burned: 18 (million)
% 1.93/1.67 % (13041)------------------------------
% 1.93/1.67 % (13041)------------------------------
% 1.93/1.67 % (13042)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_12912 for (2999ds/3Mi)
% 1.93/1.68 % (13042)Instruction limit reached!
% 1.93/1.68 % (13042)------------------------------
% 1.93/1.68 % (13042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.68 % (13042)Termination reason: Unknown
% 1.93/1.68 % (13042)Termination phase: Property scanning
% 1.93/1.68
% 1.93/1.68 % (13042)Memory used [KB]: 1023
% 1.93/1.68 % (13042)Time elapsed: 0.003 s
% 1.93/1.68 % (13042)Instructions burned: 3 (million)
% 1.93/1.68 % (13042)------------------------------
% 1.93/1.68 % (13042)------------------------------
% 1.93/1.68 % (13043)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_12912 for (2998ds/30Mi)
% 1.93/1.69 % (13044)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_12912 for (2998ds/127Mi)
% 1.93/1.69 % (13045)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_12912 for (2998ds/100Mi)
% 1.93/1.69 % (13045)Refutation not found, incomplete strategy
% 1.93/1.69 % (13045)------------------------------
% 1.93/1.69 % (13045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.69 % (13045)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.69
% 1.93/1.69
% 1.93/1.69 % (13045)Memory used [KB]: 5500
% 1.93/1.69 % (13045)Time elapsed: 0.005 s
% 1.93/1.69 % (13045)Instructions burned: 6 (million)
% 1.93/1.69 % (13045)------------------------------
% 1.93/1.69 % (13045)------------------------------
% 1.93/1.69 % (13046)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_12912 for (2998ds/3Mi)
% 1.93/1.70 % (13046)Instruction limit reached!
% 1.93/1.70 % (13046)------------------------------
% 1.93/1.70 % (13046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.70 % (13046)Termination reason: Unknown
% 1.93/1.70 % (13046)Termination phase: Saturation
% 1.93/1.70
% 1.93/1.70 % (13046)Memory used [KB]: 5500
% 1.93/1.70 % (13046)Time elapsed: 0.003 s
% 1.93/1.70 % (13046)Instructions burned: 3 (million)
% 1.93/1.70 % (13046)------------------------------
% 1.93/1.70 % (13046)------------------------------
% 1.93/1.70 % (13043)Instruction limit reached!
% 1.93/1.70 % (13043)------------------------------
% 1.93/1.70 % (13043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.70 % (13043)Termination reason: Unknown
% 1.93/1.70 % (13043)Termination phase: Saturation
% 1.93/1.70
% 1.93/1.70 % (13043)Memory used [KB]: 5628
% 1.93/1.70 % (13043)Time elapsed: 0.018 s
% 1.93/1.70 % (13043)Instructions burned: 30 (million)
% 1.93/1.70 % (13043)------------------------------
% 1.93/1.70 % (13043)------------------------------
% 1.93/1.71 % (13047)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_12912 for (2998ds/20Mi)
% 1.93/1.71 % (13048)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_12912 for (2998ds/86Mi)
% 1.93/1.72 % (13047)Refutation not found, incomplete strategy
% 1.93/1.72 % (13047)------------------------------
% 1.93/1.72 % (13047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.72 % (13047)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.72
% 1.93/1.72
% 1.93/1.72 % (13047)Memory used [KB]: 5500
% 1.93/1.72 % (13047)Time elapsed: 0.005 s
% 1.93/1.72 % (13047)Instructions burned: 5 (million)
% 1.93/1.72 % (13047)------------------------------
% 1.93/1.72 % (13047)------------------------------
% 1.93/1.72 % (13049)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_12912 for (2998ds/107Mi)
% 1.93/1.72 % (13049)Refutation not found, incomplete strategy
% 1.93/1.72 % (13049)------------------------------
% 1.93/1.72 % (13049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.72 % (13049)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.72
% 1.93/1.72
% 1.93/1.72 % (13049)Memory used [KB]: 5500
% 1.93/1.72 % (13049)Time elapsed: 0.029 s
% 1.93/1.72 % (13049)Instructions burned: 5 (million)
% 1.93/1.72 % (13049)------------------------------
% 1.93/1.72 % (13049)------------------------------
% 1.93/1.73 % (13050)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_12912 for (2998ds/39Mi)
% 1.93/1.74 % (13051)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_12912 for (2998ds/448Mi)
% 1.93/1.76 % (13050)Instruction limit reached!
% 1.93/1.76 % (13050)------------------------------
% 1.93/1.76 % (13050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.76 % (13050)Termination reason: Unknown
% 1.93/1.76 % (13050)Termination phase: Saturation
% 1.93/1.76
% 1.93/1.76 % (13050)Memory used [KB]: 5756
% 1.93/1.76 % (13050)Time elapsed: 0.047 s
% 1.93/1.76 % (13050)Instructions burned: 39 (million)
% 1.93/1.76 % (13050)------------------------------
% 1.93/1.76 % (13050)------------------------------
% 1.93/1.76 % (13044)Instruction limit reached!
% 1.93/1.76 % (13044)------------------------------
% 1.93/1.76 % (13044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.76 % (13044)Termination reason: Unknown
% 1.93/1.76 % (13044)Termination phase: Saturation
% 1.93/1.76
% 1.93/1.76 % (13044)Memory used [KB]: 6140
% 1.93/1.76 % (13044)Time elapsed: 0.072 s
% 1.93/1.76 % (13044)Instructions burned: 127 (million)
% 1.93/1.76 % (13044)------------------------------
% 1.93/1.76 % (13044)------------------------------
% 1.93/1.76 % (13048)Instruction limit reached!
% 1.93/1.76 % (13048)------------------------------
% 1.93/1.76 % (13048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.76 % (13048)Termination reason: Unknown
% 1.93/1.76 % (13048)Termination phase: Saturation
% 1.93/1.76
% 1.93/1.76 % (13048)Memory used [KB]: 5884
% 1.93/1.76 % (13048)Time elapsed: 0.070 s
% 1.93/1.76 % (13048)Instructions burned: 86 (million)
% 1.93/1.76 % (13048)------------------------------
% 1.93/1.76 % (13048)------------------------------
% 1.93/1.77 % (13054)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_12912 for (2997ds/98Mi)
% 1.93/1.77 % (13052)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_12912 for (2997ds/46Mi)
% 1.93/1.78 % (13055)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_12912 for (2997ds/507Mi)
% 1.93/1.78 % (13054)Refutation not found, incomplete strategy
% 1.93/1.78 % (13054)------------------------------
% 1.93/1.78 % (13054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.78 % (13054)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.78
% 1.93/1.78
% 1.93/1.78 % (13054)Memory used [KB]: 1023
% 1.93/1.78 % (13054)Time elapsed: 0.008 s
% 1.93/1.78 % (13054)Instructions burned: 10 (million)
% 1.93/1.78 % (13054)------------------------------
% 1.93/1.78 % (13054)------------------------------
% 1.93/1.80 % (13052)Instruction limit reached!
% 1.93/1.80 % (13052)------------------------------
% 1.93/1.80 % (13052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.80 % (13052)Termination reason: Unknown
% 1.93/1.80 % (13052)Termination phase: Saturation
% 1.93/1.80
% 1.93/1.80 % (13052)Memory used [KB]: 5756
% 1.93/1.80 % (13052)Time elapsed: 0.029 s
% 1.93/1.80 % (13052)Instructions burned: 46 (million)
% 1.93/1.80 % (13052)------------------------------
% 1.93/1.80 % (13052)------------------------------
% 1.93/1.80 % (13056)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_12912 for (2997ds/149Mi)
% 1.93/1.82 % (13057)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_12912 for (2997ds/39Mi)
% 1.93/1.82 % (13057)Refutation not found, incomplete strategy
% 1.93/1.82 % (13057)------------------------------
% 1.93/1.82 % (13057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.82 % (13057)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.82
% 1.93/1.82
% 1.93/1.82 % (13057)Memory used [KB]: 5500
% 1.93/1.82 % (13057)Time elapsed: 0.005 s
% 1.93/1.82 % (13057)Instructions burned: 5 (million)
% 1.93/1.82 % (13057)------------------------------
% 1.93/1.82 % (13057)------------------------------
% 1.93/1.84 % (13031)Refutation not found, non-redundant clauses discarded% (13031)------------------------------
% 1.93/1.84 % (13031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.84 % (13031)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.93/1.84
% 1.93/1.84 % (13031)Memory used [KB]: 6524
% 1.93/1.84 % (13031)Time elapsed: 0.222 s
% 1.93/1.84 % (13031)Instructions burned: 467 (million)
% 1.93/1.84 % (13031)------------------------------
% 1.93/1.84 % (13031)------------------------------
% 1.93/1.84 % (13058)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_12912 for (2997ds/6Mi)
% 1.93/1.85 % (13037)Instruction limit reached!
% 1.93/1.85 % (13037)------------------------------
% 1.93/1.85 % (13037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.85 % (13037)Termination reason: Unknown
% 1.93/1.85 % (13037)Termination phase: Saturation
% 1.93/1.85
% 1.93/1.85 % (13037)Memory used [KB]: 6268
% 1.93/1.85 % (13037)Time elapsed: 0.200 s
% 1.93/1.85 % (13037)Instructions burned: 377 (million)
% 1.93/1.85 % (13037)------------------------------
% 1.93/1.85 % (13037)------------------------------
% 1.93/1.85 % (13058)Instruction limit reached!
% 1.93/1.85 % (13058)------------------------------
% 1.93/1.85 % (13058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.85 % (13058)Termination reason: Unknown
% 1.93/1.85 % (13058)Termination phase: Saturation
% 1.93/1.85
% 1.93/1.85 % (13058)Memory used [KB]: 9978
% 1.93/1.85 % (13058)Time elapsed: 0.006 s
% 1.93/1.85 % (13058)Instructions burned: 7 (million)
% 1.93/1.85 % (13058)------------------------------
% 1.93/1.85 % (13058)------------------------------
% 1.93/1.86 % (13059)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_12912 for (2997ds/1087Mi)
% 1.93/1.87 % (13060)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_12912 for (2997ds/47Mi)
% 1.93/1.87 % (13059)Refutation not found, incomplete strategy
% 1.93/1.87 % (13059)------------------------------
% 1.93/1.87 % (13059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.87 % (13059)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.87
% 1.93/1.87
% 1.93/1.87 % (13059)Memory used [KB]: 5500
% 1.93/1.87 % (13059)Time elapsed: 0.005 s
% 1.93/1.87 % (13059)Instructions burned: 5 (million)
% 1.93/1.87 % (13059)------------------------------
% 1.93/1.87 % (13059)------------------------------
% 1.93/1.87 % (13061)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_12912 for (2996ds/44Mi)
% 1.93/1.88 % (13056)Instruction limit reached!
% 1.93/1.88 % (13056)------------------------------
% 1.93/1.88 % (13056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.88 % (13056)Termination reason: Unknown
% 1.93/1.88 % (13056)Termination phase: Saturation
% 1.93/1.88
% 1.93/1.88 % (13056)Memory used [KB]: 6140
% 1.93/1.88 % (13056)Time elapsed: 0.083 s
% 1.93/1.88 % (13056)Instructions burned: 149 (million)
% 1.93/1.88 % (13056)------------------------------
% 1.93/1.88 % (13056)------------------------------
% 1.93/1.89 % (13062)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_12912 for (2996ds/432Mi)
% 1.93/1.89 % (13060)Instruction limit reached!
% 1.93/1.89 % (13060)------------------------------
% 1.93/1.89 % (13060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.89 % (13060)Termination reason: Unknown
% 1.93/1.89 % (13060)Termination phase: Saturation
% 1.93/1.89
% 1.93/1.89 % (13060)Memory used [KB]: 5628
% 1.93/1.89 % (13060)Time elapsed: 0.026 s
% 1.93/1.89 % (13060)Instructions burned: 47 (million)
% 1.93/1.89 % (13060)------------------------------
% 1.93/1.89 % (13060)------------------------------
% 1.93/1.89 % (13061)Instruction limit reached!
% 1.93/1.89 % (13061)------------------------------
% 1.93/1.89 % (13061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.89 % (13061)Termination reason: Unknown
% 1.93/1.89 % (13061)Termination phase: Saturation
% 1.93/1.89
% 1.93/1.89 % (13061)Memory used [KB]: 1151
% 1.93/1.89 % (13061)Time elapsed: 0.025 s
% 1.93/1.89 % (13061)Instructions burned: 44 (million)
% 1.93/1.89 % (13061)------------------------------
% 1.93/1.89 % (13061)------------------------------
% 1.93/1.90 % (13063)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_12912 for (2996ds/62Mi)
% 1.93/1.91 % (13064)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_12912 for (2996ds/31Mi)
% 1.93/1.91 % (13065)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_12912 for (2996ds/96Mi)
% 1.93/1.93 % (13064)Instruction limit reached!
% 1.93/1.93 % (13064)------------------------------
% 1.93/1.93 % (13064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.93 % (13064)Termination reason: Unknown
% 1.93/1.93 % (13064)Termination phase: Saturation
% 1.93/1.93
% 1.93/1.93 % (13064)Memory used [KB]: 5628
% 1.93/1.93 % (13064)Time elapsed: 0.019 s
% 1.93/1.93 % (13064)Instructions burned: 32 (million)
% 1.93/1.93 % (13064)------------------------------
% 1.93/1.93 % (13064)------------------------------
% 1.93/1.93 % (13063)Instruction limit reached!
% 1.93/1.93 % (13063)------------------------------
% 1.93/1.93 % (13063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.93 % (13063)Termination reason: Unknown
% 1.93/1.93 % (13063)Termination phase: Saturation
% 1.93/1.93
% 1.93/1.93 % (13063)Memory used [KB]: 5884
% 1.93/1.93 % (13063)Time elapsed: 0.034 s
% 1.93/1.93 % (13063)Instructions burned: 63 (million)
% 1.93/1.93 % (13063)------------------------------
% 1.93/1.93 % (13063)------------------------------
% 1.93/1.94 % (13066)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_12912 for (2996ds/453Mi)
% 1.93/1.95 % (13066)Refutation not found, incomplete strategy
% 1.93/1.95 % (13066)------------------------------
% 1.93/1.95 % (13066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.95 % (13067)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_12912 for (2996ds/71Mi)
% 1.93/1.95 % (13066)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.95
% 1.93/1.95
% 1.93/1.95 % (13066)Memory used [KB]: 5500
% 1.93/1.95 % (13066)Time elapsed: 0.008 s
% 1.93/1.95 % (13066)Instructions burned: 10 (million)
% 1.93/1.95 % (13066)------------------------------
% 1.93/1.95 % (13066)------------------------------
% 1.93/1.96 % (13065)Instruction limit reached!
% 1.93/1.96 % (13065)------------------------------
% 1.93/1.96 % (13065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.96 % (13065)Termination reason: Unknown
% 1.93/1.96 % (13065)Termination phase: Saturation
% 1.93/1.96
% 1.93/1.96 % (13065)Memory used [KB]: 5884
% 1.93/1.96 % (13065)Time elapsed: 0.053 s
% 1.93/1.96 % (13065)Instructions burned: 96 (million)
% 1.93/1.96 % (13065)------------------------------
% 1.93/1.96 % (13065)------------------------------
% 1.93/1.97 % (13068)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_12912 for (2996ds/83Mi)
% 1.93/1.98 % (13069)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_12912 for (2995ds/11Mi)
% 1.93/1.98 % (13051)Instruction limit reached!
% 1.93/1.98 % (13051)------------------------------
% 1.93/1.98 % (13051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.98 % (13051)Termination reason: Unknown
% 1.93/1.98 % (13051)Termination phase: Saturation
% 1.93/1.98
% 1.93/1.98 % (13051)Memory used [KB]: 6780
% 1.93/1.98 % (13051)Time elapsed: 0.242 s
% 1.93/1.98 % (13051)Instructions burned: 448 (million)
% 1.93/1.98 % (13051)------------------------------
% 1.93/1.98 % (13051)------------------------------
% 1.93/1.99 % (13067)Instruction limit reached!
% 1.93/1.99 % (13067)------------------------------
% 1.93/1.99 % (13067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.99 % (13067)Termination reason: Unknown
% 1.93/1.99 % (13067)Termination phase: Saturation
% 1.93/1.99
% 1.93/1.99 % (13067)Memory used [KB]: 5884
% 1.93/1.99 % (13067)Time elapsed: 0.037 s
% 1.93/1.99 % (13067)Instructions burned: 72 (million)
% 1.93/1.99 % (13067)------------------------------
% 1.93/1.99 % (13067)------------------------------
% 1.93/1.99 % (13069)Instruction limit reached!
% 1.93/1.99 % (13069)------------------------------
% 1.93/1.99 % (13069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.99 % (13069)Termination reason: Unknown
% 1.93/1.99 % (13069)Termination phase: Saturation
% 1.93/1.99
% 1.93/1.99 % (13069)Memory used [KB]: 5500
% 1.93/1.99 % (13069)Time elapsed: 0.009 s
% 1.93/1.99 % (13069)Instructions burned: 12 (million)
% 1.93/1.99 % (13069)------------------------------
% 1.93/1.99 % (13069)------------------------------
% 1.93/2.00 % (13070)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_12912 for (2995ds/41Mi)
% 1.93/2.00 % (13071)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_12912 for (2995ds/6Mi)
% 1.93/2.00 % (13070)Refutation not found, incomplete strategy
% 1.93/2.00 % (13070)------------------------------
% 1.93/2.00 % (13070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/2.00 % (13070)Termination reason: Refutation not found, incomplete strategy
% 1.93/2.00
% 1.93/2.00
% 1.93/2.00 % (13070)Memory used [KB]: 5500
% 1.93/2.00 % (13070)Time elapsed: 0.007 s
% 1.93/2.00 % (13070)Instructions burned: 7 (million)
% 1.93/2.00 % (13070)------------------------------
% 1.93/2.00 % (13070)------------------------------
% 1.93/2.00 % (13072)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_12912 for (2995ds/150Mi)
% 1.93/2.01 % (13071)Instruction limit reached!
% 1.93/2.01 % (13071)------------------------------
% 1.93/2.01 % (13071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/2.01 % (13071)Termination reason: Unknown
% 1.93/2.01 % (13071)Termination phase: Saturation
% 1.93/2.01
% 1.93/2.01 % (13071)Memory used [KB]: 5500
% 1.93/2.01 % (13071)Time elapsed: 0.005 s
% 1.93/2.01 % (13071)Instructions burned: 6 (million)
% 1.93/2.01 % (13071)------------------------------
% 1.93/2.01 % (13071)------------------------------
% 1.93/2.02 % (13068)Instruction limit reached!
% 1.93/2.02 % (13068)------------------------------
% 1.93/2.02 % (13068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/2.02 % (13068)Termination reason: Unknown
% 1.93/2.02 % (13068)Termination phase: Saturation
% 1.93/2.02
% 1.93/2.02 % (13068)Memory used [KB]: 6012
% 1.93/2.02 % (13068)Time elapsed: 0.048 s
% 1.93/2.02 % (13068)Instructions burned: 84 (million)
% 1.93/2.02 % (13068)------------------------------
% 1.93/2.02 % (13068)------------------------------
% 1.93/2.02 % (13074)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_12912 for (2995ds/109Mi)
% 1.93/2.02 % (13073)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_12912 for (2995ds/343Mi)
% 5.20/2.03 % (13073)Refutation not found, incomplete strategy
% 5.20/2.03 % (13073)------------------------------
% 5.20/2.03 % (13073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.03 % (13073)Termination reason: Refutation not found, incomplete strategy
% 5.20/2.03
% 5.20/2.03
% 5.20/2.03 % (13073)Memory used [KB]: 5500
% 5.20/2.03 % (13073)Time elapsed: 0.005 s
% 5.20/2.03 % (13073)Instructions burned: 6 (million)
% 5.20/2.03 % (13073)------------------------------
% 5.20/2.03 % (13073)------------------------------
% 5.20/2.04 % (13075)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_12912 for (2995ds/253Mi)
% 5.20/2.04 % (13055)Instruction limit reached!
% 5.20/2.04 % (13055)------------------------------
% 5.20/2.04 % (13055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.04 % (13055)Termination reason: Unknown
% 5.20/2.04 % (13055)Termination phase: Saturation
% 5.20/2.04
% 5.20/2.04 % (13055)Memory used [KB]: 6908
% 5.20/2.04 % (13055)Time elapsed: 0.265 s
% 5.20/2.04 % (13055)Instructions burned: 507 (million)
% 5.20/2.04 % (13055)------------------------------
% 5.20/2.04 % (13055)------------------------------
% 5.20/2.05 % (13076)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_12912 for (2995ds/140Mi)
% 5.20/2.05 % (13076)Refutation not found, incomplete strategy
% 5.20/2.05 % (13076)------------------------------
% 5.20/2.05 % (13076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.05 % (13076)Termination reason: Refutation not found, incomplete strategy
% 5.20/2.05
% 5.20/2.05
% 5.20/2.05 % (13076)Memory used [KB]: 5500
% 5.20/2.05 % (13076)Time elapsed: 0.006 s
% 5.20/2.05 % (13076)Instructions burned: 7 (million)
% 5.20/2.05 % (13076)------------------------------
% 5.20/2.05 % (13076)------------------------------
% 5.20/2.06 % (13077)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_12912 for (2995ds/614Mi)
% 5.20/2.06 % (13077)Refutation not found, incomplete strategy
% 5.20/2.06 % (13077)------------------------------
% 5.20/2.06 % (13077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.06 % (13077)Termination reason: Refutation not found, incomplete strategy
% 5.20/2.06
% 5.20/2.06
% 5.20/2.06 % (13077)Memory used [KB]: 5628
% 5.20/2.06 % (13077)Time elapsed: 0.007 s
% 5.20/2.06 % (13077)Instructions burned: 8 (million)
% 5.20/2.06 % (13077)------------------------------
% 5.20/2.06 % (13077)------------------------------
% 5.20/2.07 % (13078)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_12912 for (2995ds/202Mi)
% 5.20/2.07 % (13038)Instruction limit reached!
% 5.20/2.07 % (13038)------------------------------
% 5.20/2.07 % (13038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.07 % (13038)Termination reason: Unknown
% 5.20/2.07 % (13038)Termination phase: Saturation
% 5.20/2.07
% 5.20/2.07 % (13038)Memory used [KB]: 6908
% 5.20/2.07 % (13038)Time elapsed: 0.417 s
% 5.20/2.07 % (13038)Instructions burned: 779 (million)
% 5.20/2.07 % (13038)------------------------------
% 5.20/2.07 % (13038)------------------------------
% 5.20/2.07 % (13078)Refutation not found, incomplete strategy
% 5.20/2.07 % (13078)------------------------------
% 5.20/2.07 % (13078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.07 % (13078)Termination reason: Refutation not found, incomplete strategy
% 5.20/2.07
% 5.20/2.07
% 5.20/2.07 % (13078)Memory used [KB]: 5500
% 5.20/2.07 % (13078)Time elapsed: 0.005 s
% 5.20/2.07 % (13078)Instructions burned: 5 (million)
% 5.20/2.07 % (13078)------------------------------
% 5.20/2.07 % (13078)------------------------------
% 5.20/2.08 % (13074)Instruction limit reached!
% 5.20/2.08 % (13074)------------------------------
% 5.20/2.08 % (13074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.08 % (13074)Termination reason: Unknown
% 5.20/2.08 % (13074)Termination phase: Saturation
% 5.20/2.08
% 5.20/2.08 % (13074)Memory used [KB]: 6012
% 5.20/2.08 % (13074)Time elapsed: 0.054 s
% 5.20/2.08 % (13074)Instructions burned: 110 (million)
% 5.20/2.08 % (13074)------------------------------
% 5.20/2.08 % (13074)------------------------------
% 5.20/2.08 % (13072)Instruction limit reached!
% 5.20/2.08 % (13072)------------------------------
% 5.20/2.08 % (13072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.08 % (13072)Termination reason: Unknown
% 5.20/2.08 % (13072)Termination phase: Saturation
% 5.20/2.08
% 5.20/2.08 % (13072)Memory used [KB]: 5628
% 5.20/2.08 % (13072)Time elapsed: 0.079 s
% 5.20/2.08 % (13072)Instructions burned: 150 (million)
% 5.20/2.08 % (13072)------------------------------
% 5.20/2.08 % (13072)------------------------------
% 5.20/2.08 % (13079)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_12912 for (2994ds/339Mi)
% 5.20/2.09 % (13080)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_12912 for (2994ds/283Mi)
% 5.20/2.09 % (13081)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_12912 for (2994ds/134Mi)
% 5.20/2.09 % (13082)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_12912 for (2994ds/298Mi)
% 5.20/2.10 % (13083)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_12912 for (2994ds/192Mi)
% 5.20/2.10 % (13062)Instruction limit reached!
% 5.20/2.10 % (13062)------------------------------
% 5.20/2.10 % (13062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.20/2.10 % (13062)Termination reason: Unknown
% 5.20/2.10 % (13062)Termination phase: Saturation
% 5.20/2.10
% 5.20/2.10 % (13062)Memory used [KB]: 3837
% 5.20/2.10 % (13062)Time elapsed: 0.218 s
% 5.20/2.10 % (13062)Instructions burned: 433 (million)
% 5.20/2.10 % (13062)------------------------------
% 5.20/2.10 % (13062)------------------------------
% 5.20/2.12 % (13084)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_12912 for (2994ds/258Mi)
% 5.59/2.16 % (13081)Instruction limit reached!
% 5.59/2.16 % (13081)------------------------------
% 5.59/2.16 % (13081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.16 % (13081)Termination reason: Unknown
% 5.59/2.16 % (13081)Termination phase: Saturation
% 5.59/2.16
% 5.59/2.16 % (13081)Memory used [KB]: 6396
% 5.59/2.16 % (13081)Time elapsed: 0.074 s
% 5.59/2.16 % (13081)Instructions burned: 134 (million)
% 5.59/2.16 % (13081)------------------------------
% 5.59/2.16 % (13081)------------------------------
% 5.59/2.18 % (13075)Instruction limit reached!
% 5.59/2.18 % (13075)------------------------------
% 5.59/2.18 % (13075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.18 % (13075)Termination reason: Unknown
% 5.59/2.18 % (13075)Termination phase: Saturation
% 5.59/2.18
% 5.59/2.18 % (13075)Memory used [KB]: 6396
% 5.59/2.18 % (13075)Time elapsed: 0.145 s
% 5.59/2.18 % (13075)Instructions burned: 253 (million)
% 5.59/2.18 % (13075)------------------------------
% 5.59/2.18 % (13075)------------------------------
% 5.59/2.18 % (13085)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_12912 for (2993ds/90Mi)
% 5.84/2.20 % (13086)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_12912 for (2993ds/231Mi)
% 5.84/2.20 % (13085)Refutation not found, incomplete strategy
% 5.84/2.20 % (13085)------------------------------
% 5.84/2.20 % (13085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.20 % (13085)Termination reason: Refutation not found, incomplete strategy
% 5.84/2.20
% 5.84/2.20
% 5.84/2.20 % (13085)Memory used [KB]: 5756
% 5.84/2.20 % (13085)Time elapsed: 0.044 s
% 5.84/2.20 % (13085)Instructions burned: 35 (million)
% 5.84/2.20 % (13085)------------------------------
% 5.84/2.20 % (13085)------------------------------
% 5.84/2.21 % (13083)Instruction limit reached!
% 5.84/2.21 % (13083)------------------------------
% 5.84/2.21 % (13083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.21 % (13083)Termination reason: Unknown
% 5.84/2.21 % (13083)Termination phase: Saturation
% 5.84/2.21
% 5.84/2.21 % (13083)Memory used [KB]: 6396
% 5.84/2.21 % (13083)Time elapsed: 0.107 s
% 5.84/2.21 % (13083)Instructions burned: 192 (million)
% 5.84/2.21 % (13083)------------------------------
% 5.84/2.21 % (13083)------------------------------
% 5.84/2.22 % (13087)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_12912 for (2993ds/458Mi)
% 5.84/2.22 % (13087)Refutation not found, incomplete strategy
% 5.84/2.22 % (13087)------------------------------
% 5.84/2.22 % (13087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.22 % (13087)Termination reason: Refutation not found, incomplete strategy
% 5.84/2.22
% 5.84/2.22
% 5.84/2.22 % (13087)Memory used [KB]: 5500
% 5.84/2.22 % (13087)Time elapsed: 0.006 s
% 5.84/2.22 % (13087)Instructions burned: 7 (million)
% 5.84/2.22 % (13087)------------------------------
% 5.84/2.22 % (13087)------------------------------
% 5.84/2.23 % (13088)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_12912 for (2993ds/31Mi)
% 5.84/2.23 % (13080)Instruction limit reached!
% 5.84/2.23 % (13080)------------------------------
% 5.84/2.23 % (13080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.23 % (13080)Termination reason: Unknown
% 5.84/2.23 % (13080)Termination phase: Saturation
% 5.84/2.23
% 5.84/2.23 % (13080)Memory used [KB]: 7803
% 5.84/2.23 % (13080)Time elapsed: 0.146 s
% 5.84/2.23 % (13080)Instructions burned: 284 (million)
% 5.84/2.23 % (13080)------------------------------
% 5.84/2.23 % (13080)------------------------------
% 5.84/2.23 % (13084)First to succeed.
% 5.84/2.24 % (13082)Instruction limit reached!
% 5.84/2.24 % (13082)------------------------------
% 5.84/2.24 % (13082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.24 % (13084)Refutation found. Thanks to Tanya!
% 5.84/2.24 % SZS status Theorem for DTF2THF_12912
% 5.84/2.24 % SZS output start Proof for DTF2THF_12912
% 5.84/2.24 thf(func_def_0, type, num: $tType).
% 5.84/2.24 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 5.84/2.24 thf(func_def_8, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 5.84/2.24 thf(func_def_9, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 5.84/2.24 thf(func_def_11, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 5.84/2.24 thf(func_def_23, type, ph1: !>[X0: $tType]:(X0)).
% 5.84/2.24 thf(f1387,plain,(
% 5.84/2.24 $false),
% 5.84/2.24 inference(avatar_sat_refutation,[status(thm)],[f290,f303,f322,f401,f532,f538,f701,f709,f723,f775,f1298,f1330,f1386])).
% 5.84/2.24 thf(f1386,plain,(
% 5.84/2.24 spl0_29 | spl0_31 | ~spl0_32 | ~spl0_34),
% 5.84/2.24 inference(avatar_contradiction_clause,[status(thm)],[f1385])).
% 5.84/2.24 thf(f1385,plain,(
% 5.84/2.24 $false | (spl0_29 | spl0_31 | ~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f1384,f1383])).
% 5.84/2.24 thf(f1383,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((lAnna_THFTYPE_i = X2)) ) | (spl0_31 | ~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f1362,f696])).
% 5.84/2.24 thf(f696,plain,(
% 5.84/2.24 ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | spl0_31),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f695])).
% 5.84/2.24 thf(f695,definition,(
% 5.84/2.24 spl0_31 <=> ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition])).
% 5.84/2.24 thf(f1362,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | (lAnna_THFTYPE_i = X2)) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f1361])).
% 5.84/2.24 thf(f1361,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = (lAnna_THFTYPE_i = X2)) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f1360])).
% 5.84/2.24 thf(f1360,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | ((~ (lAnna_THFTYPE_i = X2)) = $false)) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f1343])).
% 5.84/2.24 thf(f1343,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2 @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f1336])).
% 5.84/2.24 thf(f1336,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f708,f700])).
% 5.84/2.24 thf(f700,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i = X2)) ) | ~spl0_32),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f699])).
% 5.84/2.24 thf(f699,definition,(
% 5.84/2.24 spl0_32 <=> ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i = X2))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_32])],[avatar_definition])).
% 5.84/2.24 thf(f708,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i != X2) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | ~spl0_34),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f707])).
% 5.84/2.24 thf(f707,definition,(
% 5.84/2.24 spl0_34 <=> ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i != X2) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_34])],[avatar_definition])).
% 5.84/2.24 thf(f1384,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((lAnna_THFTYPE_i != X2)) ) | (spl0_29 | ~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f1359,f688])).
% 5.84/2.24 thf(f688,plain,(
% 5.84/2.24 ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | spl0_29),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f687])).
% 5.84/2.24 thf(f687,definition,(
% 5.84/2.24 spl0_29 <=> ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])).
% 5.84/2.24 thf(f1359,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | (lAnna_THFTYPE_i != X2)) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f1358])).
% 5.84/2.24 thf(f1358,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((lAnna_THFTYPE_i = X2) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f1342])).
% 5.84/2.24 thf(f1342,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))) ) | (~spl0_32 | ~spl0_34)),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f1336])).
% 5.84/2.24 thf(f1330,plain,(
% 5.84/2.24 spl0_11 | ~spl0_1 | ~spl0_29),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f1326,f687,f275,f320])).
% 5.84/2.24 thf(f320,definition,(
% 5.84/2.24 spl0_11 <=> ! [X4 : $i,X3 : $i] : ($true = (parent_THFTYPE_IiioI @ X3 @ X4))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 5.84/2.24 thf(f275,definition,(
% 5.84/2.24 spl0_1 <=> ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true)),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 5.84/2.24 thf(f1326,plain,(
% 5.84/2.24 ( ! [X0 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ X0 @ X1) = $true)) ) | (~spl0_1 | ~spl0_29)),
% 5.84/2.24 inference(superposition,[status(thm)],[f1095,f1067])).
% 5.84/2.24 thf(f1067,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : ((X1 = X2)) ) | ~spl0_29),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f1066])).
% 5.84/2.24 thf(f1066,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : (($true = (X2 = X1))) ) | ~spl0_29),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f1063])).
% 5.84/2.24 thf(f1063,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ($true)) @ X2) = ((^[Y0 : $i]: (Y0 = X1)) @ X2))) ) | ~spl0_29),
% 5.84/2.24 inference(argument_congruence,[status(thm)],[f731])).
% 5.84/2.24 thf(f731,plain,(
% 5.84/2.24 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: (Y0 = X1)))) ) | ~spl0_29),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f730])).
% 5.84/2.24 thf(f730,plain,(
% 5.84/2.24 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X1) = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1))) ) | ~spl0_29),
% 5.84/2.24 inference(argument_congruence,[status(thm)],[f689])).
% 5.84/2.24 thf(f689,plain,(
% 5.84/2.24 ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | ~spl0_29),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f687])).
% 5.84/2.24 thf(f1095,plain,(
% 5.84/2.24 ( ! [X0 : $i] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) = $true)) ) | (~spl0_1 | ~spl0_29)),
% 5.84/2.24 inference(superposition,[status(thm)],[f277,f1067])).
% 5.84/2.24 thf(f277,plain,(
% 5.84/2.24 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true) | ~spl0_1),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f275])).
% 5.84/2.24 thf(f1298,plain,(
% 5.84/2.24 ~spl0_31),
% 5.84/2.24 inference(avatar_contradiction_clause,[status(thm)],[f1297])).
% 5.84/2.24 thf(f1297,plain,(
% 5.84/2.24 $false | ~spl0_31),
% 5.84/2.24 inference(flex-flex_simplify,[status(thm)],[f1296])).
% 5.84/2.24 thf(f1296,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : ((X1 != X2)) ) | ~spl0_31),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f1295])).
% 5.84/2.24 thf(f1295,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : (((X2 = X1) = $false)) ) | ~spl0_31),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f1294])).
% 5.84/2.24 thf(f1294,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : (($true = (~ (X2 = X1)))) ) | ~spl0_31),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f1291])).
% 5.84/2.24 thf(f1291,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (~ (Y0 = X1))) @ X2) = ((^[Y0 : $i]: ($true)) @ X2))) ) | ~spl0_31),
% 5.84/2.24 inference(argument_congruence,[status(thm)],[f733])).
% 5.84/2.24 thf(f733,plain,(
% 5.84/2.24 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: (~ (Y0 = X1))))) ) | ~spl0_31),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f732])).
% 5.84/2.24 thf(f732,plain,(
% 5.84/2.24 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X1) = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1))) ) | ~spl0_31),
% 5.84/2.24 inference(argument_congruence,[status(thm)],[f697])).
% 5.84/2.24 thf(f697,plain,(
% 5.84/2.24 ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | ~spl0_31),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f695])).
% 5.84/2.24 thf(f775,plain,(
% 5.84/2.24 ~spl0_4),
% 5.84/2.24 inference(avatar_contradiction_clause,[status(thm)],[f774])).
% 5.84/2.24 thf(f774,plain,(
% 5.84/2.24 $false | ~spl0_4),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f762,f767])).
% 5.84/2.24 thf(f767,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((lBill_THFTYPE_i = X2)) ) | ~spl0_4),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f766])).
% 5.84/2.24 thf(f766,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((lBill_THFTYPE_i = X2) = $true)) ) | ~spl0_4),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f734])).
% 5.84/2.24 thf(f734,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2 @ lBill_THFTYPE_i))) ) | ~spl0_4),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f288])).
% 5.84/2.24 thf(f288,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i > $i > $o] : (((X1 @ X2 @ lBill_THFTYPE_i) = $true)) ) | ~spl0_4),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f287])).
% 5.84/2.24 thf(f287,definition,(
% 5.84/2.24 spl0_4 <=> ! [X2 : $i,X1 : $i > $i > $o] : ((X1 @ X2 @ lBill_THFTYPE_i) = $true)),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 5.84/2.24 thf(f762,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((lBill_THFTYPE_i != X2)) ) | ~spl0_4),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f761])).
% 5.84/2.24 thf(f761,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((lBill_THFTYPE_i = X2) = $false)) ) | ~spl0_4),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f760])).
% 5.84/2.24 thf(f760,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = (~ (lBill_THFTYPE_i = X2)))) ) | ~spl0_4),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f735])).
% 5.84/2.24 thf(f735,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2 @ lBill_THFTYPE_i) = $true)) ) | ~spl0_4),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f288])).
% 5.84/2.24 thf(f723,plain,(
% 5.84/2.24 ~spl0_7 | ~spl0_11),
% 5.84/2.24 inference(avatar_contradiction_clause,[status(thm)],[f722])).
% 5.84/2.24 thf(f722,plain,(
% 5.84/2.24 $false | (~spl0_7 | ~spl0_11)),
% 5.84/2.24 inference(trivial_inequality_removal,[status(thm)],[f719])).
% 5.84/2.24 thf(f719,plain,(
% 5.84/2.24 ($true = $false) | (~spl0_7 | ~spl0_11)),
% 5.84/2.24 inference(superposition,[status(thm)],[f321,f302])).
% 5.84/2.24 thf(f302,plain,(
% 5.84/2.24 ($false = (parent_THFTYPE_IiioI @ sK12 @ sK13)) | ~spl0_7),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f300])).
% 5.84/2.24 thf(f300,definition,(
% 5.84/2.24 spl0_7 <=> ($false = (parent_THFTYPE_IiioI @ sK12 @ sK13))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 5.84/2.24 thf(f321,plain,(
% 5.84/2.24 ( ! [X3 : $i,X4 : $i] : (($true = (parent_THFTYPE_IiioI @ X3 @ X4))) ) | ~spl0_11),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f320])).
% 5.84/2.24 thf(f709,plain,(
% 5.84/2.24 spl0_29 | spl0_34 | ~spl0_6),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f657,f296,f707,f687])).
% 5.84/2.24 thf(f296,definition,(
% 5.84/2.24 spl0_6 <=> ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((X1 @ X2 @ lBill_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 5.84/2.24 thf(f657,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | (lBill_THFTYPE_i != X2) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))) ) | ~spl0_6),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f656])).
% 5.84/2.24 thf(f656,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((lBill_THFTYPE_i = X2) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | ~spl0_6),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f618])).
% 5.84/2.24 thf(f618,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2 @ lBill_THFTYPE_i) = $false) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) ) | ~spl0_6),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f297])).
% 5.84/2.24 thf(f297,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((X1 @ X2 @ lBill_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) ) | ~spl0_6),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f296])).
% 5.84/2.24 thf(f701,plain,(
% 5.84/2.24 spl0_31 | spl0_32 | ~spl0_6),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f668,f296,f699,f695])).
% 5.84/2.24 thf(f668,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | (lBill_THFTYPE_i = X2) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | ~spl0_6),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f667])).
% 5.84/2.24 thf(f667,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((lBill_THFTYPE_i = X2) = $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | ~spl0_6),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f666])).
% 5.84/2.24 thf(f666,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (($false = (~ (lBill_THFTYPE_i = X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | ~spl0_6),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f619])).
% 5.84/2.24 thf(f619,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2 @ lBill_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | ~spl0_6),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f297])).
% 5.84/2.24 thf(f538,plain,(
% 5.84/2.24 ~spl0_3 | ~spl0_6 | ~spl0_24),
% 5.84/2.24 inference(avatar_contradiction_clause,[status(thm)],[f537])).
% 5.84/2.24 thf(f537,plain,(
% 5.84/2.24 $false | (~spl0_3 | ~spl0_6 | ~spl0_24)),
% 5.84/2.24 inference(trivial_inequality_removal,[status(thm)],[f536])).
% 5.84/2.24 thf(f536,plain,(
% 5.84/2.24 ($true = $false) | (~spl0_3 | ~spl0_6 | ~spl0_24)),
% 5.84/2.24 inference(forward_demodulation,[status(thm)],[f398,f487])).
% 5.84/2.24 thf(f487,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f486,f482])).
% 5.84/2.24 thf(f482,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : ((lBill_THFTYPE_i != X2) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f481,f284])).
% 5.84/2.24 thf(f284,plain,(
% 5.84/2.24 ( ! [X1 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) != X1)) ) | ~spl0_3),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f283])).
% 5.84/2.24 thf(f283,definition,(
% 5.84/2.24 spl0_3 <=> ! [X1 : $i > $i > $o] : ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) != X1)),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 5.84/2.24 thf(f481,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i != X2)) ) | (~spl0_3 | ~spl0_6)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f475,f284])).
% 5.84/2.24 thf(f475,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i != X2) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | ~spl0_6),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f474])).
% 5.84/2.24 thf(f474,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | ((lBill_THFTYPE_i = X2) = $false)) ) | ~spl0_6),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f421])).
% 5.84/2.24 thf(f421,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | (((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2 @ lBill_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) ) | ~spl0_6),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f297])).
% 5.84/2.24 thf(f486,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : ((lBill_THFTYPE_i = X2) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f485,f284])).
% 5.84/2.24 thf(f485,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | (lBill_THFTYPE_i = X2) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | (~spl0_3 | ~spl0_6)),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f464,f284])).
% 5.84/2.24 thf(f464,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (lBill_THFTYPE_i = X2) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | ~spl0_6),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f463])).
% 5.84/2.24 thf(f463,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((lBill_THFTYPE_i = X2) = $true) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))))) ) | ~spl0_6),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f462])).
% 5.84/2.24 thf(f462,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ($false = (~ (lBill_THFTYPE_i = X2)))) ) | ~spl0_6),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f422])).
% 5.84/2.24 thf(f422,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0)))))) | (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2 @ lBill_THFTYPE_i) = $false) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) ) | ~spl0_6),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f297])).
% 5.84/2.24 thf(f398,plain,(
% 5.84/2.24 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true) | ~spl0_24),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f396])).
% 5.84/2.24 thf(f396,definition,(
% 5.84/2.24 spl0_24 <=> ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true)),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition])).
% 5.84/2.24 thf(f532,plain,(
% 5.84/2.24 ~spl0_2),
% 5.84/2.24 inference(avatar_contradiction_clause,[status(thm)],[f531])).
% 5.84/2.24 thf(f531,plain,(
% 5.84/2.24 $false | ~spl0_2),
% 5.84/2.24 inference(subsumption_resolution,[status(thm)],[f511,f517])).
% 5.84/2.24 thf(f517,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((lAnna_THFTYPE_i != X2)) ) | ~spl0_2),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f516])).
% 5.84/2.24 thf(f516,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (((lAnna_THFTYPE_i = X2) = $false)) ) | ~spl0_2),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f515])).
% 5.84/2.24 thf(f515,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = (~ (lAnna_THFTYPE_i = X2)))) ) | ~spl0_2),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f492])).
% 5.84/2.24 thf(f492,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2 @ lAnna_THFTYPE_i))) ) | ~spl0_2),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f280])).
% 5.84/2.24 thf(f280,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $true)) ) | ~spl0_2),
% 5.84/2.24 inference(avatar_component_clause,[status(thm)],[f279])).
% 5.84/2.24 thf(f279,definition,(
% 5.84/2.24 spl0_2 <=> ! [X2 : $i,X0 : $i > $i > $o] : ((X0 @ X2 @ lAnna_THFTYPE_i) = $true)),
% 5.84/2.24 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 5.84/2.24 thf(f511,plain,(
% 5.84/2.24 ( ! [X2 : $i] : ((lAnna_THFTYPE_i = X2)) ) | ~spl0_2),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f510])).
% 5.84/2.24 thf(f510,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = (lAnna_THFTYPE_i = X2))) ) | ~spl0_2),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f491])).
% 5.84/2.24 thf(f491,plain,(
% 5.84/2.24 ( ! [X2 : $i] : (($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2 @ lAnna_THFTYPE_i))) ) | ~spl0_2),
% 5.84/2.24 inference(primitive_instantiation,[status(thm)],[f280])).
% 5.84/2.24 thf(f401,plain,(
% 5.84/2.24 spl0_24 | spl0_4),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f87,f287,f396])).
% 5.84/2.24 thf(f87,plain,(
% 5.84/2.24 ( ! [X2 : $i,X1 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true) | ((X1 @ X2 @ lBill_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f86])).
% 5.84/2.24 thf(f86,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true) | ($true = ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)))) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f84])).
% 5.84/2.24 thf(f84,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true) | ($true = (((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))))) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f74])).
% 5.84/2.24 thf(f74,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i))) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f73])).
% 5.84/2.24 thf(f73,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) != ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 5.84/2.24 inference(trivial_inequality_removal,[status(thm)],[f45])).
% 5.84/2.24 thf(f45,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true != $true) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) != ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 5.84/2.24 inference(constrained_superposition,[status(thm)],[f41,f35])).
% 5.84/2.24 thf(f35,plain,(
% 5.84/2.24 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 5.84/2.24 inference(cnf_transformation,[status(thm)],[f16])).
% 5.84/2.24 thf(f16,plain,(
% 5.84/2.24 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 5.84/2.24 inference(fool_elimination,[status(thm)],[f15])).
% 5.84/2.24 thf(f15,plain,(
% 5.84/2.24 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 5.84/2.24 inference(rectify,[status(thm)],[f1])).
% 5.84/2.24 thf(f1,axiom,(
% 5.84/2.24 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 5.84/2.24 file('/export/starexec/sandbox2/tmp/tmp.6PriUAEUxK/DTF2THF_12912.p',ax)).
% 5.84/2.24 thf(f41,plain,(
% 5.84/2.24 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (X2 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X2 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 5.84/2.24 inference(cnf_transformation,[status(thm)],[f33])).
% 5.84/2.24 thf(f33,plain,(
% 5.84/2.24 ! [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (X2 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X2 @ X0 @ lAnna_THFTYPE_i))) != $true)),
% 5.84/2.24 inference(ennf_transformation,[status(thm)],[f14])).
% 5.84/2.24 thf(f14,plain,(
% 5.84/2.24 ~? [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (X2 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X2 @ X0 @ lAnna_THFTYPE_i))) = $true)),
% 5.84/2.24 inference(fool_elimination,[status(thm)],[f13])).
% 5.84/2.24 thf(f13,plain,(
% 5.84/2.24 ~? [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X2 @ X0 @ lAnna_THFTYPE_i) & (~ ((^[X3 : $i, X4 : $i] : ($true)) = X1)) & (X1 @ X0 @ lBill_THFTYPE_i) & (~ (X2 = (^[X5 : $i, X6 : $i] : ($true)))))),
% 5.84/2.24 inference(rectify,[status(thm)],[f11])).
% 5.84/2.24 thf(f11,negated_conjecture,(
% 5.84/2.24 ~? [X1 : $i,X3 : $i > $i > $o,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X2 @ X1 @ lAnna_THFTYPE_i) & (~ ((^[X4 : $i, X5 : $i] : ($true)) = X3)) & (X3 @ X1 @ lBill_THFTYPE_i) & (~ (X2 = (^[X4 : $i, X5 : $i] : ($true)))))),
% 5.84/2.24 inference(negated_conjecture,[status(cth)],[f10])).
% 5.84/2.24 thf(f10,conjecture,(
% 5.84/2.24 ? [X1 : $i,X3 : $i > $i > $o,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X2 @ X1 @ lAnna_THFTYPE_i) & (~ ((^[X4 : $i, X5 : $i] : ($true)) = X3)) & (X3 @ X1 @ lBill_THFTYPE_i) & (~ (X2 = (^[X4 : $i, X5 : $i] : ($true)))))),
% 5.84/2.24 file('/export/starexec/sandbox2/tmp/tmp.6PriUAEUxK/DTF2THF_12912.p',con)).
% 5.84/2.24 thf(f322,plain,(
% 5.84/2.24 spl0_6 | spl0_11),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f227,f320,f296])).
% 5.84/2.24 thf(f227,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ($true = (parent_THFTYPE_IiioI @ X3 @ X4)) | ((X1 @ X2 @ lBill_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) )),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f226])).
% 5.84/2.24 thf(f226,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) = $true) | ($true = (parent_THFTYPE_IiioI @ X3 @ X4)) | ((X1 @ X2 @ lBill_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1)) )),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f225])).
% 5.84/2.24 thf(f225,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1) | ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) = $false) | ($true = (parent_THFTYPE_IiioI @ X3 @ X4)) | ((X1 @ X2 @ lBill_THFTYPE_i) = $false)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f224])).
% 5.84/2.24 thf(f224,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1) | ($true = (parent_THFTYPE_IiioI @ X3 @ X4)) | (((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) = $false) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) )),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f223])).
% 5.84/2.24 thf(f223,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (($true = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1)) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ($true = (parent_THFTYPE_IiioI @ X3 @ X4)) | (((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) = $false)) )),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f222])).
% 5.84/2.24 thf(f222,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (($true = (parent_THFTYPE_IiioI @ X3 @ X4)) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1)) = $false) | (((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) = $false)) )),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f221])).
% 5.84/2.24 thf(f221,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((~ (parent_THFTYPE_IiioI @ X3 @ X4)) = $false) | (((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) = $false) | ((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1)) = $false)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f220])).
% 5.84/2.24 thf(f220,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) = $false) | ((~ (parent_THFTYPE_IiioI @ X3 @ X4)) = $false) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) )),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f219])).
% 5.84/2.24 thf(f219,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o,X4 : $i] : (((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) = $false) | (((^[Y0 : $i]: (~ (parent_THFTYPE_IiioI @ X3 @ Y0))) @ X4) = $false) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false)) )),
% 5.84/2.24 inference(pi_clausification,[status(thm)],[f218])).
% 5.84/2.24 thf(f218,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((?? @ $i @ (^[Y0 : $i]: (~ (parent_THFTYPE_IiioI @ X3 @ Y0)))) = $false) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $false) | ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) = $false)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f217])).
% 5.84/2.24 thf(f217,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : ((((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)) = $false) | ((?? @ $i @ (^[Y0 : $i]: (~ (parent_THFTYPE_IiioI @ X3 @ Y0)))) = $false)) )),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f216])).
% 5.84/2.24 thf(f216,plain,(
% 5.84/2.24 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1))))) @ X3)) | (((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)) = $false)) )),
% 5.84/2.24 inference(pi_clausification,[status(thm)],[f215])).
% 5.84/2.24 thf(f215,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1)))))) = $false) | (((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)) = $false)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 5.84/2.24 thf(f213,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1)))))) != ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 5.84/2.24 inference(trivial_inequality_removal,[status(thm)],[f51])).
% 5.84/2.24 thf(f51,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true != $true) | ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1)))))) != ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 5.84/2.24 inference(constrained_superposition,[status(thm)],[f41,f42])).
% 5.84/2.24 thf(f42,plain,(
% 5.84/2.24 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1))))))) = $true)),
% 5.84/2.24 inference(cnf_transformation,[status(thm)],[f22])).
% 5.84/2.24 thf(f22,plain,(
% 5.84/2.24 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1))))))) = $true)),
% 5.84/2.24 inference(fool_elimination,[status(thm)],[f21])).
% 5.84/2.24 thf(f21,plain,(
% 5.84/2.24 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ? [X0 : $i,X1 : $i] : (~ (parent_THFTYPE_IiioI @ X1 @ X0)))),
% 5.84/2.24 inference(rectify,[status(thm)],[f2])).
% 5.84/2.24 thf(f2,axiom,(
% 5.84/2.24 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ? [X1 : $i,X0 : $i] : (~ (parent_THFTYPE_IiioI @ X0 @ X1)))),
% 5.84/2.24 file('/export/starexec/sandbox2/tmp/tmp.6PriUAEUxK/DTF2THF_12912.p',ax_001)).
% 5.84/2.24 thf(f303,plain,(
% 5.84/2.24 spl0_2 | spl0_7),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f253,f300,f279])).
% 5.84/2.24 thf(f253,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $true) | ($false = (parent_THFTYPE_IiioI @ sK12 @ sK13))) )),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f252])).
% 5.84/2.24 thf(f252,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (($true = (~ (parent_THFTYPE_IiioI @ sK12 @ sK13))) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f251])).
% 5.84/2.24 thf(f251,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : ((((^[Y0 : $i]: (~ (parent_THFTYPE_IiioI @ sK12 @ Y0))) @ sK13) = $true) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(sigma_clausification,[status(thm)],[f250])).
% 5.84/2.24 thf(f250,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: (~ (parent_THFTYPE_IiioI @ sK12 @ Y0)))))) )),
% 5.84/2.24 inference(beta_eta_normalization,[status(thm)],[f249])).
% 5.84/2.24 thf(f249,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) = $true) | ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1))))) @ sK12))) )),
% 5.84/2.24 inference(sigma_clausification,[status(thm)],[f228])).
% 5.84/2.24 thf(f228,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1)))))) = $true) | ((X0 @ X2 @ lAnna_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f214])).
% 5.84/2.24 thf(f214,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i))) | ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (~ (parent_THFTYPE_IiioI @ Y0 @ Y1)))))) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 5.84/2.24 thf(f290,plain,(
% 5.84/2.24 spl0_1 | spl0_3),
% 5.84/2.24 inference(avatar_split_clause,[status(thm)],[f271,f283,f275])).
% 5.84/2.24 thf(f271,plain,(
% 5.84/2.24 ( ! [X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) != X0) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(equality_proxy_clausification,[status(thm)],[f270])).
% 5.84/2.24 thf(f270,plain,(
% 5.84/2.24 ( ! [X0 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true) | ((X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) = $false)) )),
% 5.84/2.24 inference(not_proxy_clausification,[status(thm)],[f269])).
% 5.84/2.24 thf(f269,plain,(
% 5.84/2.24 ( ! [X0 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true) | ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f267])).
% 5.84/2.24 thf(f267,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = ((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i))) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f265])).
% 5.84/2.24 thf(f265,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true) | ($true = (((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))))) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f255])).
% 5.84/2.24 thf(f255,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i))) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) = $true)) )),
% 5.84/2.24 inference(binary_proxy_clausification,[status(thm)],[f254])).
% 5.84/2.24 thf(f254,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) != ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 5.84/2.24 inference(trivial_inequality_removal,[status(thm)],[f44])).
% 5.84/2.24 thf(f44,plain,(
% 5.84/2.24 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true != $true) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i) != ((((~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) & (X1 @ X2 @ lBill_THFTYPE_i)) & (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1))) & (X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 5.84/2.24 inference(constrained_superposition,[status(thm)],[f41,f34])).
% 5.84/2.24 thf(f34,plain,(
% 5.84/2.24 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $true)),
% 5.84/2.24 inference(cnf_transformation,[status(thm)],[f24])).
% 5.84/2.24 thf(f24,plain,(
% 5.84/2.24 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $true)),
% 5.84/2.24 inference(fool_elimination,[status(thm)],[f23])).
% 5.84/2.24 thf(f23,plain,(
% 5.84/2.24 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))),
% 5.84/2.24 inference(rectify,[status(thm)],[f9])).
% 5.84/2.24 thf(f9,axiom,(
% 5.84/2.24 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))),
% 5.84/2.24 file('/export/starexec/sandbox2/tmp/tmp.6PriUAEUxK/DTF2THF_12912.p',ax_008)).
% 5.84/2.24 % SZS output end Proof for DTF2THF_12912
% 5.84/2.24 % (13084)------------------------------
% 5.84/2.24 % (13084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.24 % (13084)Termination reason: Refutation
% 5.84/2.24
% 5.84/2.24 % (13084)Memory used [KB]: 6140
% 5.84/2.24 % (13084)Time elapsed: 0.139 s
% 5.84/2.24 % (13084)Instructions burned: 206 (million)
% 5.84/2.24 % (13084)------------------------------
% 5.84/2.24 % (13084)------------------------------
% 5.84/2.24 % (13009)Success in time 0.695 s
%------------------------------------------------------------------------------