%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR131^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n028.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 08:43:04 AM UTC 2026
% Result : Theorem 1.65s 1.45s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CSR131^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n028.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 05:49:11 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.39 ---- Original DTF file ---
% 0.15/0.39 thf(spec,logic,$$dhol).
% 0.15/0.39 %------------------------------------------------------------------------------
% 0.15/0.39 % File : CSR131^1 : TPTP v9.2.1. Released v4.1.0.
% 0.15/0.39 % Domain : Commonsense Reasoning
% 0.15/0.39 % Problem : In 2009, what's the feeling for Bill and Anna?
% 0.15/0.39 % Version : Especial.
% 0.15/0.39 % English : In the context of year 2009: Do there exist relations ?R and ?Q
% 0.15/0.39 % so that ?R holds between a person ?Y and Bill and ?Q between ?Y
% 0.15/0.39 % and Anna.
% 0.15/0.39
% 0.15/0.39 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.15/0.39 % Source : [Ben10]
% 0.15/0.39 % Names : ef_rv_3.tq_SUMO_local [Ben10]
% 0.15/0.39
% 0.15/0.39 % Status : Theorem
% 0.15/0.39 % Rating : 0.25 v8.2.0, 0.27 v8.1.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.50 v6.4.0, 0.57 v6.3.0, 0.67 v6.2.0, 0.50 v6.1.0, 0.83 v6.0.0, 0.67 v5.5.0, 0.60 v5.4.0, 0.50 v5.1.0, 0.75 v5.0.0, 0.50 v4.1.0
% 0.15/0.39 % Syntax : Number of formulae : 23 ( 0 unt; 12 typ; 0 def)
% 0.15/0.39 % Number of atoms : 26 ( 0 equ; 5 cnn)
% 0.15/0.39 % Maximal formula atoms : 3 ( 2 avg)
% 0.15/0.39 % Number of connectives : 74 ( 5 ~; 0 |; 3 &; 66 @)
% 0.15/0.39 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.15/0.39 % Maximal formula depth : 13 ( 5 avg)
% 0.15/0.39 % Number of types : 3 ( 1 usr)
% 0.15/0.39 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.15/0.39 % Number of symbols : 12 ( 11 usr; 8 con; 0-2 aty)
% 0.15/0.39 % Number of variables : 7 ( 0 ^; 4 !; 3 ?; 7 :)
% 0.15/0.39 % SPC : TH0_THM_NEQ_NAR
% 0.15/0.39
% 0.15/0.39 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.15/0.39 % Initally the problem has been hand generated in KIF syntax in
% 0.15/0.39 % SigmaKEE and then automatically translated by Benzmueller's
% 0.15/0.39 % KIF2TH0 translator into THF syntax.
% 0.15/0.39 % : The translation has been applied in two modes: local and SInE.
% 0.15/0.39 % The local mode only translates the local assumptions and the
% 0.15/0.39 % query. The SInE mode additionally translates the SInE-extract
% 0.15/0.39 % of the loaded knowledge base (usually SUMO).
% 0.15/0.39 % : The examples are selected to illustrate the benefits of
% 0.15/0.39 % higher-order reasoning in ontology reasoning.
% 0.15/0.39 % : Note that the universal predicates is excluded for ?R and Q? with
% 0.15/0.39 % the second and third conjuncts in the query.
% 0.15/0.39 %------------------------------------------------------------------------------
% 0.15/0.39 %----The extracted signature
% 0.15/0.39 thf(numbers,type,
% 0.15/0.39 num: $tType ).
% 0.15/0.39
% 0.15/0.39 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.15/0.39
% 0.15/0.39 thf(lAnna_THFTYPE_i,type,
% 0.15/0.39 lAnna_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(lBen_THFTYPE_i,type,
% 0.15/0.39 lBen_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(lBill_THFTYPE_i,type,
% 0.15/0.39 lBill_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(lBob_THFTYPE_i,type,
% 0.15/0.39 lBob_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(lMary_THFTYPE_i,type,
% 0.15/0.39 lMary_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(lSue_THFTYPE_i,type,
% 0.15/0.39 lSue_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(lYearFn_THFTYPE_IiiI,type,
% 0.15/0.39 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.15/0.39
% 0.15/0.39 thf(likes_THFTYPE_IiioI,type,
% 0.15/0.39 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.15/0.39
% 0.15/0.39 thf(n2009_THFTYPE_i,type,
% 0.15/0.39 n2009_THFTYPE_i: $i ).
% 0.15/0.39
% 0.15/0.39 thf(parent_THFTYPE_IiioI,type,
% 0.15/0.39 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.15/0.39
% 0.15/0.39 %----The translated axioms
% 0.15/0.39 thf(ax,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_001,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_002,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_003,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_004,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_005,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_006,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_007,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_008,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.15/0.39
% 0.15/0.39 thf(ax_009,axiom,
% 0.15/0.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ).
% 0.15/0.39
% 0.15/0.39 %----The translated conjecture
% 0.15/0.39 thf(con,conjecture,
% 0.15/0.39 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 0.15/0.39 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.15/0.39 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 0.15/0.39 & ( Q @ Y @ lAnna_THFTYPE_i )
% 0.15/0.39 & ( (~)
% 0.15/0.39 @ ! [A: $i,B: $i] : ( R @ A @ B ) )
% 0.15/0.40 & ( (~)
% 0.15/0.40 @ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) ) ).
% 0.15/0.40
% 0.15/0.40 %------------------------------------------------------------------------------
% 0.15/0.40 ------------------------
% 1.58/1.32 ---- Embedded in THF ---
% 1.58/1.32 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.58/1.32 %%% Generated on Tue Feb 24 05:49:12 EST 2026
% 1.58/1.32 %%% using '$$dhol' embedding, version 1.3.0.
% 1.58/1.32 %%% Logic specification used:
% 1.58/1.32 %%% thf(spec, logic, $$dhol).
% 1.58/1.32
% 1.58/1.32 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2DTF7388.p
% 1.58/1.32 thf(numbers, type, num: $tType).
% 1.58/1.32 thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 1.58/1.32 thf(lAnna_THFTYPE_i, type, lAnna_THFTYPE_i: $i).
% 1.58/1.32 thf(lBen_THFTYPE_i, type, lBen_THFTYPE_i: $i).
% 1.58/1.32 thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 1.58/1.32 thf(lBob_THFTYPE_i, type, lBob_THFTYPE_i: $i).
% 1.58/1.32 thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 1.58/1.32 thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 1.58/1.32 thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.58/1.32 thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.58/1.32 thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 1.58/1.32 thf(parent_THFTYPE_IiioI, type, parent_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.58/1.32 thf(ax, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lAnna_THFTYPE_i))).
% 1.58/1.32 thf(ax_001, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBen_THFTYPE_i))).
% 1.58/1.32 thf(ax_002, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lAnna_THFTYPE_i)))).
% 1.58/1.32 thf(ax_003, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.58/1.32 thf(ax_004, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.58/1.32 thf(ax_005, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lBen_THFTYPE_i)))).
% 1.58/1.32 thf(ax_006, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.58/1.32 thf(ax_007, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lAnna_THFTYPE_i))).
% 1.58/1.32 thf(ax_008, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBen_THFTYPE_i))).
% 1.58/1.32 thf(ax_009, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lMary_THFTYPE_i)))).
% 1.58/1.32 thf(con, conjecture, (? [Q:($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) & (((~) @ (! [A:$i,B:$i]: (((R @ A) @ B)))) & ((~) @ (! [A:$i,B:$i]: (((Q @ A) @ B))))))))))).
% 1.58/1.32 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2DTF7388.p
% 1.58/1.32 ------------------------
% 1.58/1.33 ---- Cleaned THF ---
% 1.58/1.33 thf(numbers,type,
% 1.58/1.33 num: $tType ).
% 1.58/1.33
% 1.58/1.33 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.58/1.33
% 1.58/1.33 thf(lAnna_THFTYPE_i,type,
% 1.58/1.33 lAnna_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(lBen_THFTYPE_i,type,
% 1.58/1.33 lBen_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(lBill_THFTYPE_i,type,
% 1.58/1.33 lBill_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(lBob_THFTYPE_i,type,
% 1.58/1.33 lBob_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(lMary_THFTYPE_i,type,
% 1.58/1.33 lMary_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(lSue_THFTYPE_i,type,
% 1.58/1.33 lSue_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(lYearFn_THFTYPE_IiiI,type,
% 1.58/1.33 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.58/1.33
% 1.58/1.33 thf(likes_THFTYPE_IiioI,type,
% 1.58/1.33 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.58/1.33
% 1.58/1.33 thf(n2009_THFTYPE_i,type,
% 1.58/1.33 n2009_THFTYPE_i: $i ).
% 1.58/1.33
% 1.58/1.33 thf(parent_THFTYPE_IiioI,type,
% 1.58/1.33 parent_THFTYPE_IiioI: $i > $i > $o ).
% 1.58/1.33
% 1.58/1.33 thf(ax,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_001,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_002,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_003,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_004,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_005,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_006,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_007,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_008,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 1.58/1.33
% 1.58/1.33 thf(ax_009,axiom,
% 1.58/1.33 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ).
% 1.58/1.33
% 1.58/1.33 thf(con,conjecture,
% 1.58/1.33 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 1.58/1.33 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.58/1.33 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 1.58/1.33 & ( Q @ Y @ lAnna_THFTYPE_i )
% 1.58/1.33 & ( (~)
% 1.58/1.33 @ ! [A: $i,B: $i] : ( R @ A @ B ) )
% 1.58/1.33 & ( (~)
% 1.58/1.33 @ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) ) ).
% 1.58/1.33 ------------------------
% 1.58/1.35 % (7487)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_7388 for (2999ds/4Mi)
% 1.58/1.35 % (7491)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_7388 for (2999ds/275Mi)
% 1.58/1.35 % (7489)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/2Mi)
% 1.58/1.35 % (7486)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/183Mi)
% 1.58/1.35 % (7490)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_7388 for (2999ds/2Mi)
% 1.58/1.35 % (7492)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/18Mi)
% 1.58/1.35 % (7488)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_7388 for (2999ds/27Mi)
% 1.58/1.35 % (7489)Instruction limit reached!
% 1.58/1.35 % (7489)------------------------------
% 1.58/1.35 % (7489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.35 % (7489)Termination reason: Unknown
% 1.58/1.35 % (7489)Termination phase: Saturation
% 1.58/1.35 % (7490)Instruction limit reached!
% 1.58/1.35 % (7490)------------------------------
% 1.58/1.35 % (7490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.35 % (7490)Termination reason: Unknown
% 1.58/1.35 % (7490)Termination phase: Saturation
% 1.58/1.35
% 1.58/1.35 % (7490)Memory used [KB]: 1023
% 1.58/1.35 % (7490)Time elapsed: 0.003 s
% 1.58/1.35 % (7490)Instructions burned: 3 (million)
% 1.58/1.35 % (7490)------------------------------
% 1.58/1.35 % (7490)------------------------------
% 1.58/1.35
% 1.58/1.35 % (7489)Memory used [KB]: 895
% 1.58/1.35 % (7489)Time elapsed: 0.003 s
% 1.58/1.35 % (7489)Instructions burned: 3 (million)
% 1.58/1.35 % (7489)------------------------------
% 1.58/1.35 % (7489)------------------------------
% 1.58/1.35 % (7491)Refutation not found, incomplete strategy
% 1.58/1.35 % (7491)------------------------------
% 1.58/1.35 % (7491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.35 % (7491)Termination reason: Refutation not found, incomplete strategy
% 1.58/1.35
% 1.58/1.35
% 1.58/1.35 % (7491)Memory used [KB]: 5500
% 1.58/1.35 % (7491)Time elapsed: 0.004 s
% 1.58/1.35 % (7491)Instructions burned: 4 (million)
% 1.58/1.35 % (7491)------------------------------
% 1.58/1.35 % (7491)------------------------------
% 1.58/1.36 % (7487)Instruction limit reached!
% 1.58/1.36 % (7487)------------------------------
% 1.58/1.36 % (7487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.36 % (7487)Termination reason: Unknown
% 1.58/1.36 % (7487)Termination phase: Saturation
% 1.58/1.36
% 1.58/1.36 % (7487)Memory used [KB]: 5500
% 1.58/1.36 % (7487)Time elapsed: 0.005 s
% 1.58/1.36 % (7487)Instructions burned: 5 (million)
% 1.58/1.36 % (7487)------------------------------
% 1.58/1.36 % (7487)------------------------------
% 1.58/1.36 % (7488)Refutation not found, incomplete strategy
% 1.58/1.36 % (7488)------------------------------
% 1.58/1.36 % (7488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.36 % (7488)Termination reason: Refutation not found, incomplete strategy
% 1.58/1.36
% 1.58/1.36
% 1.58/1.36 % (7488)Memory used [KB]: 5500
% 1.58/1.36 % (7488)Time elapsed: 0.006 s
% 1.58/1.36 % (7488)Instructions burned: 7 (million)
% 1.58/1.36 % (7488)------------------------------
% 1.58/1.36 % (7488)------------------------------
% 1.58/1.36 % (7492)Instruction limit reached!
% 1.58/1.36 % (7492)------------------------------
% 1.58/1.36 % (7492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.36 % (7492)Termination reason: Unknown
% 1.58/1.36 % (7492)Termination phase: Saturation
% 1.58/1.36
% 1.58/1.36 % (7492)Memory used [KB]: 5500
% 1.58/1.36 % (7492)Time elapsed: 0.011 s
% 1.58/1.36 % (7492)Instructions burned: 19 (million)
% 1.58/1.36 % (7492)------------------------------
% 1.58/1.36 % (7492)------------------------------
% 1.58/1.37 % (7493)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/3Mi)
% 1.58/1.37 % (7494)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_7388 for (2999ds/37Mi)
% 1.58/1.37 % (7495)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_7388 for (2999ds/15Mi)
% 1.58/1.37 % (7493)Instruction limit reached!
% 1.58/1.37 % (7493)------------------------------
% 1.58/1.37 % (7493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.37 % (7493)Termination reason: Unknown
% 1.58/1.37 % (7493)Termination phase: Saturation
% 1.58/1.37
% 1.58/1.37 % (7493)Memory used [KB]: 5500
% 1.58/1.37 % (7493)Time elapsed: 0.003 s
% 1.58/1.37 % (7493)Instructions burned: 3 (million)
% 1.58/1.37 % (7493)------------------------------
% 1.58/1.37 % (7493)------------------------------
% 1.58/1.37 % (7496)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_7388 for (2999ds/3Mi)
% 1.58/1.37 % (7496)Instruction limit reached!
% 1.58/1.37 % (7496)------------------------------
% 1.58/1.37 % (7496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.37 % (7496)Termination reason: Unknown
% 1.58/1.37 % (7496)Termination phase: Saturation
% 1.58/1.37
% 1.58/1.37 % (7496)Memory used [KB]: 5500
% 1.58/1.37 % (7496)Time elapsed: 0.003 s
% 1.58/1.37 % (7496)Instructions burned: 3 (million)
% 1.58/1.37 % (7496)------------------------------
% 1.58/1.37 % (7496)------------------------------
% 1.58/1.37 % (7497)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_7388 for (2999ds/1041Mi)
% 1.58/1.38 % (7498)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/7Mi)
% 1.58/1.38 % (7495)Instruction limit reached!
% 1.58/1.38 % (7495)------------------------------
% 1.58/1.38 % (7495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.38 % (7495)Termination reason: Unknown
% 1.58/1.38 % (7495)Termination phase: Saturation
% 1.58/1.38
% 1.58/1.38 % (7495)Memory used [KB]: 5628
% 1.58/1.38 % (7495)Time elapsed: 0.009 s
% 1.58/1.38 % (7495)Instructions burned: 15 (million)
% 1.58/1.38 % (7495)------------------------------
% 1.58/1.38 % (7495)------------------------------
% 1.58/1.38 % (7497)Refutation not found, incomplete strategy
% 1.58/1.38 % (7497)------------------------------
% 1.58/1.38 % (7497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.38 % (7497)Termination reason: Refutation not found, incomplete strategy
% 1.58/1.38
% 1.58/1.38
% 1.58/1.38 % (7497)Memory used [KB]: 5628
% 1.58/1.38 % (7497)Time elapsed: 0.007 s
% 1.58/1.38 % (7497)Instructions burned: 11 (million)
% 1.58/1.38 % (7497)------------------------------
% 1.58/1.38 % (7497)------------------------------
% 1.58/1.38 % (7498)Instruction limit reached!
% 1.58/1.38 % (7498)------------------------------
% 1.58/1.38 % (7498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.38 % (7498)Termination reason: Unknown
% 1.58/1.38 % (7498)Termination phase: Saturation
% 1.58/1.38
% 1.58/1.38 % (7498)Memory used [KB]: 1023
% 1.58/1.38 % (7498)Time elapsed: 0.005 s
% 1.58/1.38 % (7498)Instructions burned: 7 (million)
% 1.58/1.38 % (7498)------------------------------
% 1.58/1.38 % (7498)------------------------------
% 1.58/1.39 % (7499)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/16Mi)
% 1.58/1.39 % (7494)Instruction limit reached!
% 1.58/1.39 % (7494)------------------------------
% 1.58/1.39 % (7494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.39 % (7494)Termination reason: Unknown
% 1.58/1.39 % (7494)Termination phase: Saturation
% 1.58/1.39
% 1.58/1.39 % (7494)Memory used [KB]: 6012
% 1.58/1.39 % (7494)Time elapsed: 0.019 s
% 1.58/1.39 % (7494)Instructions burned: 37 (million)
% 1.58/1.39 % (7494)------------------------------
% 1.58/1.39 % (7494)------------------------------
% 1.58/1.39 % (7500)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_7388 for (2999ds/3Mi)
% 1.58/1.39 % (7500)Instruction limit reached!
% 1.58/1.39 % (7500)------------------------------
% 1.58/1.39 % (7500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.39 % (7500)Termination reason: Unknown
% 1.58/1.39 % (7500)Termination phase: Twee Goal Transformation
% 1.58/1.39
% 1.58/1.39 % (7500)Memory used [KB]: 1023
% 1.58/1.39 % (7500)Time elapsed: 0.003 s
% 1.58/1.39 % (7500)Instructions burned: 4 (million)
% 1.58/1.39 % (7500)------------------------------
% 1.58/1.39 % (7500)------------------------------
% 1.58/1.39 % (7501)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_7388 for (2999ds/3Mi)
% 1.58/1.40 % (7502)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/7Mi)
% 1.58/1.40 % (7499)Instruction limit reached!
% 1.58/1.40 % (7499)------------------------------
% 1.58/1.40 % (7499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.40 % (7499)Termination reason: Unknown
% 1.58/1.40 % (7499)Termination phase: Saturation
% 1.58/1.40
% 1.58/1.40 % (7499)Memory used [KB]: 5628
% 1.58/1.40 % (7499)Time elapsed: 0.010 s
% 1.58/1.40 % (7499)Instructions burned: 17 (million)
% 1.58/1.40 % (7499)------------------------------
% 1.58/1.40 % (7499)------------------------------
% 1.58/1.40 % (7501)Instruction limit reached!
% 1.58/1.40 % (7501)------------------------------
% 1.58/1.40 % (7501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.40 % (7501)Termination reason: Unknown
% 1.58/1.40 % (7501)Termination phase: Property scanning
% 1.58/1.40
% 1.58/1.40 % (7501)Memory used [KB]: 1023
% 1.58/1.40 % (7501)Time elapsed: 0.003 s
% 1.58/1.40 % (7501)Instructions burned: 4 (million)
% 1.58/1.40 % (7501)------------------------------
% 1.58/1.40 % (7501)------------------------------
% 1.65/1.40 % (7503)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/3Mi)
% 1.65/1.40 % (7503)Instruction limit reached!
% 1.65/1.40 % (7503)------------------------------
% 1.65/1.40 % (7503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (7503)Termination reason: Unknown
% 1.65/1.40 % (7503)Termination phase: Saturation
% 1.65/1.40
% 1.65/1.40 % (7503)Memory used [KB]: 5500
% 1.65/1.40 % (7503)Time elapsed: 0.003 s
% 1.65/1.40 % (7503)Instructions burned: 3 (million)
% 1.65/1.40 % (7503)------------------------------
% 1.65/1.40 % (7503)------------------------------
% 1.65/1.40 % (7502)Instruction limit reached!
% 1.65/1.40 % (7502)------------------------------
% 1.65/1.40 % (7502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (7502)Termination reason: Unknown
% 1.65/1.40 % (7502)Termination phase: Saturation
% 1.65/1.40
% 1.65/1.40 % (7502)Memory used [KB]: 5500
% 1.65/1.40 % (7502)Time elapsed: 0.005 s
% 1.65/1.40 % (7502)Instructions burned: 8 (million)
% 1.65/1.40 % (7502)------------------------------
% 1.65/1.40 % (7502)------------------------------
% 1.65/1.40 % (7504)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/4Mi)
% 1.65/1.41 % (7504)Instruction limit reached!
% 1.65/1.41 % (7504)------------------------------
% 1.65/1.41 % (7504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.41 % (7504)Termination reason: Unknown
% 1.65/1.41 % (7504)Termination phase: Saturation
% 1.65/1.41
% 1.65/1.41 % (7504)Memory used [KB]: 5500
% 1.65/1.41 % (7504)Time elapsed: 0.004 s
% 1.65/1.41 % (7504)Instructions burned: 5 (million)
% 1.65/1.41 % (7504)------------------------------
% 1.65/1.41 % (7504)------------------------------
% 1.65/1.41 % (7505)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/18Mi)
% 1.65/1.41 % (7505)Refutation not found, incomplete strategy
% 1.65/1.41 % (7505)------------------------------
% 1.65/1.41 % (7505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.41 % (7505)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.41
% 1.65/1.41
% 1.65/1.41 % (7505)Memory used [KB]: 5500
% 1.65/1.41 % (7505)Time elapsed: 0.005 s
% 1.65/1.41 % (7505)Instructions burned: 7 (million)
% 1.65/1.41 % (7505)------------------------------
% 1.65/1.41 % (7505)------------------------------
% 1.65/1.41 % (7506)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/710Mi)
% 1.65/1.41 % (7507)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/6Mi)
% 1.65/1.41 % (7508)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_7388 for (2999ds/902Mi)
% 1.65/1.41 % (7509)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_7388 for (2999ds/21Mi)
% 1.65/1.42 % (7507)Instruction limit reached!
% 1.65/1.42 % (7507)------------------------------
% 1.65/1.42 % (7507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (7507)Termination reason: Unknown
% 1.65/1.42 % (7507)Termination phase: Saturation
% 1.65/1.42
% 1.65/1.42 % (7507)Memory used [KB]: 5500
% 1.65/1.42 % (7507)Time elapsed: 0.005 s
% 1.65/1.42 % (7507)Instructions burned: 7 (million)
% 1.65/1.42 % (7507)------------------------------
% 1.65/1.42 % (7507)------------------------------
% 1.65/1.42 % (7508)Refutation not found, incomplete strategy
% 1.65/1.42 % (7508)------------------------------
% 1.65/1.42 % (7508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (7508)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.42
% 1.65/1.42
% 1.65/1.42 % (7508)Memory used [KB]: 5500
% 1.65/1.42 % (7508)Time elapsed: 0.003 s
% 1.65/1.42 % (7508)Instructions burned: 3 (million)
% 1.65/1.42 % (7508)------------------------------
% 1.65/1.42 % (7508)------------------------------
% 1.65/1.42 % (7510)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/5Mi)
% 1.65/1.42 % (7510)Instruction limit reached!
% 1.65/1.42 % (7510)------------------------------
% 1.65/1.42 % (7510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (7510)Termination reason: Unknown
% 1.65/1.42 % (7510)Termination phase: Saturation
% 1.65/1.42
% 1.65/1.42 % (7510)Memory used [KB]: 5500
% 1.65/1.42 % (7510)Time elapsed: 0.004 s
% 1.65/1.42 % (7510)Instructions burned: 5 (million)
% 1.65/1.42 % (7510)------------------------------
% 1.65/1.42 % (7510)------------------------------
% 1.65/1.43 % (7509)Instruction limit reached!
% 1.65/1.43 % (7509)------------------------------
% 1.65/1.43 % (7509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.43 % (7509)Termination reason: Unknown
% 1.65/1.43 % (7509)Termination phase: Saturation
% 1.65/1.43
% 1.65/1.43 % (7509)Memory used [KB]: 5628
% 1.65/1.43 % (7509)Time elapsed: 0.012 s
% 1.65/1.43 % (7509)Instructions burned: 21 (million)
% 1.65/1.43 % (7509)------------------------------
% 1.65/1.43 % (7509)------------------------------
% 1.65/1.43 % (7511)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_7388 for (2999ds/6Mi)
% 1.65/1.43 % (7511)Instruction limit reached!
% 1.65/1.43 % (7511)------------------------------
% 1.65/1.43 % (7511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.43 % (7511)Termination reason: Unknown
% 1.65/1.43 % (7511)Termination phase: Saturation
% 1.65/1.43
% 1.65/1.43 % (7511)Memory used [KB]: 5500
% 1.65/1.43 % (7511)Time elapsed: 0.005 s
% 1.65/1.43 % (7511)Instructions burned: 7 (million)
% 1.65/1.43 % (7511)------------------------------
% 1.65/1.43 % (7511)------------------------------
% 1.65/1.43 % (7512)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/377Mi)
% 1.65/1.43 % (7513)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_7388 for (2999ds/779Mi)
% 1.65/1.44 % (7514)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_7388 for (2999ds/19Mi)
% 1.65/1.44 % (7486)Instruction limit reached!
% 1.65/1.44 % (7486)------------------------------
% 1.65/1.44 % (7486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.44 % (7486)Termination reason: Unknown
% 1.65/1.44 % (7486)Termination phase: Saturation
% 1.65/1.44
% 1.65/1.44 % (7486)Memory used [KB]: 6908
% 1.65/1.44 % (7486)Time elapsed: 0.091 s
% 1.65/1.44 % (7486)Instructions burned: 184 (million)
% 1.65/1.44 % (7486)------------------------------
% 1.65/1.44 % (7486)------------------------------
% 1.65/1.44 % (7515)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/879Mi)
% 1.65/1.44 % (7514)Refutation not found, incomplete strategy
% 1.65/1.44 % (7514)------------------------------
% 1.65/1.44 % (7514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.44 % (7514)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.44
% 1.65/1.44
% 1.65/1.44 % (7514)Memory used [KB]: 5500
% 1.65/1.44 % (7514)Time elapsed: 0.004 s
% 1.65/1.44 % (7514)Instructions burned: 5 (million)
% 1.65/1.44 % (7514)------------------------------
% 1.65/1.44 % (7514)------------------------------
% 1.65/1.45 % (7516)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_7388 for (2999ds/17Mi)
% 1.65/1.45 % (7515)Refutation not found, incomplete strategy
% 1.65/1.45 % (7515)------------------------------
% 1.65/1.45 % (7515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45 % (7515)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.45
% 1.65/1.45
% 1.65/1.45 % (7515)Memory used [KB]: 5500
% 1.65/1.45 % (7515)Time elapsed: 0.005 s
% 1.65/1.45 % (7515)Instructions burned: 7 (million)
% 1.65/1.45 % (7515)------------------------------
% 1.65/1.45 % (7515)------------------------------
% 1.65/1.45 % (7512)First to succeed.
% 1.65/1.45 % (7512)Refutation found. Thanks to Tanya!
% 1.65/1.45 % SZS status Theorem for DTF2THF_7388
% 1.65/1.45 % SZS output start Proof for DTF2THF_7388
% 1.65/1.45 thf(func_def_0, type, num: $tType).
% 1.65/1.45 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.65/1.45 thf(func_def_8, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.65/1.45 thf(func_def_9, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.65/1.45 thf(func_def_11, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 1.65/1.45 thf(func_def_23, type, ph1: !>[X0: $tType]:(X0)).
% 1.65/1.45 thf(func_def_24, type, sK2: ($i > $i > $o) > $i).
% 1.65/1.45 thf(func_def_25, type, sK3: ($i > $i > $o) > $i).
% 1.65/1.45 thf(func_def_26, type, sK4: ($i > $i > $o) > $i).
% 1.65/1.45 thf(func_def_27, type, sK5: ($i > $i > $o) > $i).
% 1.65/1.45 thf(f350,plain,(
% 1.65/1.45 $false),
% 1.65/1.45 inference(avatar_sat_refutation,[status(thm)],[f58,f177,f190,f202,f212,f217,f263,f288,f312,f349])).
% 1.65/1.45 thf(f349,plain,(
% 1.65/1.45 spl0_6 | ~spl0_9 | ~spl0_12),
% 1.65/1.45 inference(avatar_contradiction_clause,[status(thm)],[f348])).
% 1.65/1.45 thf(f348,plain,(
% 1.65/1.45 $false | (spl0_6 | ~spl0_9 | ~spl0_12)),
% 1.65/1.45 inference(trivial_inequality_removal,[status(thm)],[f347])).
% 1.65/1.45 thf(f347,plain,(
% 1.65/1.45 ($false = $true) | (spl0_6 | ~spl0_9 | ~spl0_12)),
% 1.65/1.45 inference(forward_demodulation,[status(thm)],[f346,f248])).
% 1.65/1.45 thf(f248,plain,(
% 1.65/1.45 ($false = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) | spl0_6),
% 1.65/1.45 inference(trivial_inequality_removal,[status(thm)],[f247])).
% 1.65/1.45 thf(f247,plain,(
% 1.65/1.45 ($false = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) | ($true != $true) | spl0_6),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f197])).
% 1.65/1.45 thf(f197,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | spl0_6),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f195])).
% 1.65/1.45 thf(f195,definition,(
% 1.65/1.45 spl0_6 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 1.65/1.45 thf(f346,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | (~spl0_9 | ~spl0_12)),
% 1.65/1.45 inference(backward_demodulation,[status(thm)],[f46,f345])).
% 1.65/1.45 thf(f345,plain,(
% 1.65/1.45 ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | (~spl0_9 | ~spl0_12)),
% 1.65/1.45 inference(trivial_inequality_removal,[status(thm)],[f330])).
% 1.65/1.45 thf(f330,plain,(
% 1.65/1.45 ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ($false = $true) | (~spl0_9 | ~spl0_12)),
% 1.65/1.45 inference(superposition,[status(thm)],[f211,f287])).
% 1.65/1.45 thf(f287,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X4 : $i] : (($true = (X2 @ X3 @ X4)) | ((X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false)) ) | ~spl0_12),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f286])).
% 1.65/1.45 thf(f286,definition,(
% 1.65/1.45 spl0_12 <=> ! [X4 : $i,X2 : $i > $i > $o,X3 : $i] : (($true = (X2 @ X3 @ X4)) | ((X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false))),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 1.65/1.45 thf(f211,plain,(
% 1.65/1.45 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false) | ~spl0_9),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f209])).
% 1.65/1.45 thf(f209,definition,(
% 1.65/1.45 spl0_9 <=> ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 1.65/1.45 thf(f46,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.65/1.45 inference(cnf_transformation,[status(thm)],[f23])).
% 1.65/1.45 thf(f23,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.65/1.45 inference(fool_elimination,[status(thm)],[f22])).
% 1.65/1.45 thf(f22,plain,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.65/1.45 inference(rectify,[status(thm)],[f8])).
% 1.65/1.45 thf(f8,axiom,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.65/1.45 file('/export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2THF_7388.p',ax_007)).
% 1.65/1.45 thf(f312,plain,(
% 1.65/1.45 ~spl0_10 | ~spl0_11),
% 1.65/1.45 inference(avatar_contradiction_clause,[status(thm)],[f311])).
% 1.65/1.45 thf(f311,plain,(
% 1.65/1.45 $false | (~spl0_10 | ~spl0_11)),
% 1.65/1.45 inference(trivial_inequality_removal,[status(thm)],[f307])).
% 1.65/1.45 thf(f307,plain,(
% 1.65/1.45 ($false = $true) | (~spl0_10 | ~spl0_11)),
% 1.65/1.45 inference(superposition,[status(thm)],[f216,f284])).
% 1.65/1.45 thf(f284,plain,(
% 1.65/1.45 ( ! [X0 : $i,X1 : $i] : (($true = (likes_THFTYPE_IiioI @ X0 @ X1))) ) | ~spl0_11),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f283])).
% 1.65/1.45 thf(f283,definition,(
% 1.65/1.45 spl0_11 <=> ! [X0 : $i,X1 : $i] : ($true = (likes_THFTYPE_IiioI @ X0 @ X1))),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 1.65/1.45 thf(f216,plain,(
% 1.65/1.45 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | ~spl0_10),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f214])).
% 1.65/1.45 thf(f214,definition,(
% 1.65/1.45 spl0_10 <=> ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 1.65/1.45 thf(f288,plain,(
% 1.65/1.45 spl0_11 | spl0_12 | ~spl0_4 | spl0_6),
% 1.65/1.45 inference(avatar_split_clause,[status(thm)],[f281,f195,f175,f286,f283])).
% 1.65/1.45 thf(f175,definition,(
% 1.65/1.45 spl0_4 <=> ! [X5 : $i,X6 : $i,X4 : $i,X2 : $i > $i > $o,X0 : $i,X3 : $i,X1 : $i > $i > $o] : (($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((X1 @ X4 @ X3) = $true) | ((X2 @ X6 @ X5) = $true) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)))),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.65/1.45 thf(f281,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (X2 @ X3 @ X4)) | ($true = (likes_THFTYPE_IiioI @ X0 @ X1)) | ((X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_4 | spl0_6)),
% 1.65/1.45 inference(trivial_inequality_removal,[status(thm)],[f280])).
% 1.65/1.45 thf(f280,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ($true = (X2 @ X3 @ X4)) | ($false = $true) | ($true = (likes_THFTYPE_IiioI @ X0 @ X1))) ) | (~spl0_4 | spl0_6)),
% 1.65/1.45 inference(forward_demodulation,[status(thm)],[f270,f248])).
% 1.65/1.45 thf(f270,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ($true = (X2 @ X3 @ X4)) | ($true = (likes_THFTYPE_IiioI @ X0 @ X1))) ) | ~spl0_4),
% 1.65/1.45 inference(superposition,[status(thm)],[f41,f176])).
% 1.65/1.45 thf(f176,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X6 : $i,X4 : $i,X5 : $i] : (($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((X2 @ X6 @ X5) = $true) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((X1 @ X4 @ X3) = $true)) ) | ~spl0_4),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f175])).
% 1.65/1.45 thf(f41,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.65/1.45 inference(cnf_transformation,[status(thm)],[f33])).
% 1.65/1.45 thf(f33,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.65/1.45 inference(fool_elimination,[status(thm)],[f32])).
% 1.65/1.45 thf(f32,plain,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.65/1.45 inference(rectify,[status(thm)],[f4])).
% 1.65/1.45 thf(f4,axiom,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.65/1.45 file('/export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2THF_7388.p',ax_003)).
% 1.65/1.45 thf(f263,plain,(
% 1.65/1.45 ~spl0_7),
% 1.65/1.45 inference(avatar_contradiction_clause,[status(thm)],[f262])).
% 1.65/1.45 thf(f262,plain,(
% 1.65/1.45 $false | ~spl0_7),
% 1.65/1.45 inference(flex-flex_simplify,[status(thm)],[f261])).
% 1.65/1.45 thf(f261,plain,(
% 1.65/1.45 ( ! [X2 : $tType,X4 : $i > $i > X2,X5 : $i > $i > X2] : (((X5 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1))))))) != (X4 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1))))))))) ) | ~spl0_7),
% 1.65/1.45 inference(equality_proxy_clausification,[status(thm)],[f260])).
% 1.65/1.45 thf(f260,plain,(
% 1.65/1.45 ( ! [X2 : $tType,X4 : $i > $i > X2,X5 : $i > $i > X2] : ((((X5 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1))))))) = (X4 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1)))))))) = $false)) ) | ~spl0_7),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f255])).
% 1.65/1.45 thf(f255,plain,(
% 1.65/1.45 ( ! [X2 : $tType,X4 : $i > $i > X2,X5 : $i > $i > X2] : (($false = ((^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X5 @ Y0 @ Y1) = (X4 @ Y0 @ Y1))))))))) ) | ~spl0_7),
% 1.65/1.45 inference(primitive_instantiation,[status(thm)],[f201])).
% 1.65/1.45 thf(f201,plain,(
% 1.65/1.45 ( ! [X1 : $i > $i > $o] : (($false = (X1 @ (sK3 @ X1) @ (sK2 @ X1)))) ) | ~spl0_7),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f200])).
% 1.65/1.45 thf(f200,definition,(
% 1.65/1.45 spl0_7 <=> ! [X1 : $i > $i > $o] : ($false = (X1 @ (sK3 @ X1) @ (sK2 @ X1)))),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 1.65/1.45 thf(f217,plain,(
% 1.65/1.45 spl0_10 | spl0_6),
% 1.65/1.45 inference(avatar_split_clause,[status(thm)],[f95,f195,f214])).
% 1.65/1.45 thf(f95,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f91])).
% 1.65/1.45 thf(f91,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f47])).
% 1.65/1.45 thf(f47,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)),
% 1.65/1.45 inference(cnf_transformation,[status(thm)],[f29])).
% 1.65/1.45 thf(f29,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)),
% 1.65/1.45 inference(fool_elimination,[status(thm)],[f28])).
% 1.65/1.45 thf(f28,plain,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 1.65/1.45 inference(rectify,[status(thm)],[f10])).
% 1.65/1.45 thf(f10,axiom,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 1.65/1.45 file('/export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2THF_7388.p',ax_009)).
% 1.65/1.45 thf(f212,plain,(
% 1.65/1.45 spl0_9 | spl0_6),
% 1.65/1.45 inference(avatar_split_clause,[status(thm)],[f90,f195,f209])).
% 1.65/1.45 thf(f90,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f86])).
% 1.65/1.45 thf(f86,plain,(
% 1.65/1.45 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true)),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f44])).
% 1.65/1.45 thf(f44,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 1.65/1.45 inference(cnf_transformation,[status(thm)],[f35])).
% 1.65/1.45 thf(f35,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 1.65/1.45 inference(fool_elimination,[status(thm)],[f34])).
% 1.65/1.45 thf(f34,plain,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)))),
% 1.65/1.45 inference(rectify,[status(thm)],[f6])).
% 1.65/1.45 thf(f6,axiom,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)))),
% 1.65/1.45 file('/export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2THF_7388.p',ax_005)).
% 1.65/1.45 thf(f202,plain,(
% 1.65/1.45 ~spl0_6 | spl0_7),
% 1.65/1.45 inference(avatar_split_clause,[status(thm)],[f126,f200,f195])).
% 1.65/1.45 thf(f126,plain,(
% 1.65/1.45 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = (X1 @ (sK3 @ X1) @ (sK2 @ X1)))) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f125])).
% 1.65/1.45 thf(f125,plain,(
% 1.65/1.45 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = ((^[Y0 : $i]: (X1 @ Y0 @ (sK2 @ X1))) @ (sK3 @ X1)))) )),
% 1.65/1.45 inference(sigma_clausification,[status(thm)],[f124])).
% 1.65/1.45 thf(f124,plain,(
% 1.65/1.45 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (X1 @ Y0 @ (sK2 @ X1)))))) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f123])).
% 1.65/1.45 thf(f123,plain,(
% 1.65/1.45 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))) @ (sK2 @ X1)))) )),
% 1.65/1.45 inference(sigma_clausification,[status(thm)],[f122])).
% 1.65/1.45 thf(f122,plain,(
% 1.65/1.45 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f121])).
% 1.65/1.45 thf(f121,plain,(
% 1.65/1.45 ( ! [X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f120])).
% 1.65/1.45 thf(f120,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & $false) & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f100])).
% 1.65/1.45 thf(f100,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))))) | ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & (~ $true)) & (X1 @ X0 @ lAnna_THFTYPE_i))))) )),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f37])).
% 1.65/1.45 thf(f37,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(cnf_transformation,[status(thm)],[f36])).
% 1.65/1.45 thf(f36,plain,(
% 1.65/1.45 ! [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)),
% 1.65/1.45 inference(ennf_transformation,[status(thm)],[f19])).
% 1.65/1.45 thf(f19,plain,(
% 1.65/1.45 ~? [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i))) = $true)),
% 1.65/1.45 inference(fool_elimination,[status(thm)],[f18])).
% 1.65/1.45 thf(f18,plain,(
% 1.65/1.45 ~? [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X1 @ X0 @ lAnna_THFTYPE_i) & (~ ! [X3 : $i,X4 : $i] : (X1 @ X3 @ X4)) & (~ ! [X5 : $i,X6 : $i] : (X2 @ X5 @ X6)) & (X2 @ X0 @ lBill_THFTYPE_i))),
% 1.65/1.45 inference(rectify,[status(thm)],[f12])).
% 1.65/1.45 thf(f12,negated_conjecture,(
% 1.65/1.45 ~? [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ X2 @ lAnna_THFTYPE_i) & (~ ! [X3 : $i,X4 : $i] : (X0 @ X3 @ X4)) & (~ ! [X3 : $i,X4 : $i] : (X1 @ X3 @ X4)) & (X1 @ X2 @ lBill_THFTYPE_i))),
% 1.65/1.45 inference(negated_conjecture,[status(cth)],[f11])).
% 1.65/1.45 thf(f11,conjecture,(
% 1.65/1.45 ? [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ X2 @ lAnna_THFTYPE_i) & (~ ! [X3 : $i,X4 : $i] : (X0 @ X3 @ X4)) & (~ ! [X3 : $i,X4 : $i] : (X1 @ X3 @ X4)) & (X1 @ X2 @ lBill_THFTYPE_i))),
% 1.65/1.45 file('/export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2THF_7388.p',con)).
% 1.65/1.45 thf(f190,plain,(
% 1.65/1.45 ~spl0_2),
% 1.65/1.45 inference(avatar_contradiction_clause,[status(thm)],[f189])).
% 1.65/1.45 thf(f189,plain,(
% 1.65/1.45 $false | ~spl0_2),
% 1.65/1.45 inference(flex-flex_simplify,[status(thm)],[f188])).
% 1.65/1.45 thf(f188,plain,(
% 1.65/1.45 ( ! [X3 : $tType,X6 : $i > $i > X3,X5 : $i > $i > X3] : (((X5 @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1))))))) != (X6 @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1))))))))) ) | ~spl0_2),
% 1.65/1.45 inference(equality_proxy_clausification,[status(thm)],[f187])).
% 1.65/1.45 thf(f187,plain,(
% 1.65/1.45 ( ! [X3 : $tType,X6 : $i > $i > X3,X5 : $i > $i > X3] : (($false = ((X6 @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1))))))) = (X5 @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1)))))))))) ) | ~spl0_2),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f181])).
% 1.65/1.45 thf(f181,plain,(
% 1.65/1.45 ( ! [X3 : $tType,X6 : $i > $i > X3,X5 : $i > $i > X3] : (($false = ((^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X6 @ Y0 @ Y1) = (X5 @ Y0 @ Y1))))))))) ) | ~spl0_2),
% 1.65/1.45 inference(primitive_instantiation,[status(thm)],[f170])).
% 1.65/1.45 thf(f170,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (($false = (X2 @ (sK5 @ X2) @ (sK4 @ X2)))) ) | ~spl0_2),
% 1.65/1.45 inference(trivial_inequality_removal,[status(thm)],[f169])).
% 1.65/1.45 thf(f169,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (($false = (X2 @ (sK5 @ X2) @ (sK4 @ X2))) | ($true != $true)) ) | ~spl0_2),
% 1.65/1.45 inference(forward_demodulation,[status(thm)],[f159,f59])).
% 1.65/1.45 thf(f59,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ~spl0_2),
% 1.65/1.45 inference(backward_demodulation,[status(thm)],[f38,f57])).
% 1.65/1.45 thf(f57,plain,(
% 1.65/1.45 ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i) = $false) | ~spl0_2),
% 1.65/1.45 inference(avatar_component_clause,[status(thm)],[f55])).
% 1.65/1.45 thf(f55,definition,(
% 1.65/1.45 spl0_2 <=> ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i) = $false)),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.65/1.45 thf(f38,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $true)),
% 1.65/1.45 inference(cnf_transformation,[status(thm)],[f21])).
% 1.65/1.45 thf(f21,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)) = $true)),
% 1.65/1.45 inference(fool_elimination,[status(thm)],[f20])).
% 1.65/1.45 thf(f20,plain,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))),
% 1.65/1.45 inference(rectify,[status(thm)],[f2])).
% 1.65/1.45 thf(f2,axiom,(
% 1.65/1.45 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))),
% 1.65/1.45 file('/export/starexec/sandbox/tmp/tmp.YiIzcSbWwj/DTF2THF_7388.p',ax_001)).
% 1.65/1.45 thf(f159,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (($false = (X2 @ (sK5 @ X2) @ (sK4 @ X2))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f158])).
% 1.65/1.45 thf(f158,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = ((^[Y0 : $i]: (X2 @ Y0 @ (sK4 @ X2))) @ (sK5 @ X2)))) )),
% 1.65/1.45 inference(sigma_clausification,[status(thm)],[f157])).
% 1.65/1.45 thf(f157,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (X2 @ Y0 @ (sK4 @ X2))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f156])).
% 1.65/1.45 thf(f156,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))) @ (sK4 @ X2))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )),
% 1.65/1.45 inference(sigma_clausification,[status(thm)],[f155])).
% 1.65/1.45 thf(f155,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f154])).
% 1.65/1.45 thf(f154,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f153])).
% 1.65/1.45 thf(f153,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($false & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f152])).
% 1.65/1.45 thf(f152,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & $false) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(boolean_simplification,[status(thm)],[f97])).
% 1.65/1.45 thf(f97,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ $true)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i))) != $true)) )),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f37])).
% 1.65/1.45 thf(f177,plain,(
% 1.65/1.45 ~spl0_1 | spl0_4),
% 1.65/1.45 inference(avatar_split_clause,[status(thm)],[f118,f175,f51])).
% 1.65/1.45 thf(f51,definition,(
% 1.65/1.45 spl0_1 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true)),
% 1.65/1.45 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.65/1.45 thf(f118,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X6 : $i,X4 : $i,X5 : $i] : (($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((X2 @ X6 @ X5) = $true) | ((X1 @ X4 @ X3) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X2 @ X0 @ lBill_THFTYPE_i))) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f117])).
% 1.65/1.45 thf(f117,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X6 : $i,X4 : $i,X5 : $i] : (($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((X1 @ X4 @ X3) = $true) | (((^[Y0 : $i]: (X2 @ Y0 @ X5)) @ X6) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i))) )),
% 1.65/1.45 inference(pi_clausification,[status(thm)],[f116])).
% 1.65/1.45 thf(f116,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i,X5 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((X1 @ X4 @ X3) = $true) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (X2 @ Y0 @ X5))) = $true)) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f115])).
% 1.65/1.45 thf(f115,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i,X5 : $i] : (($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))) @ X5) = $true) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((X1 @ X4 @ X3) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )),
% 1.65/1.45 inference(pi_clausification,[status(thm)],[f114])).
% 1.65/1.45 thf(f114,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i] : (($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((X1 @ X4 @ X3) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))) = $true)) )),
% 1.65/1.45 inference(not_proxy_clausification,[status(thm)],[f113])).
% 1.65/1.45 thf(f113,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i] : (($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((X1 @ X4 @ X3) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i))) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f112])).
% 1.65/1.45 thf(f112,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i] : (($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | (((^[Y0 : $i]: (X1 @ Y0 @ X3)) @ X4) = $true) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )),
% 1.65/1.45 inference(pi_clausification,[status(thm)],[f111])).
% 1.65/1.45 thf(f111,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (X1 @ Y0 @ X3))) = $true) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )),
% 1.65/1.45 inference(beta_eta_normalization,[status(thm)],[f110])).
% 1.65/1.45 thf(f110,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))) @ X3) = $true) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i))) )),
% 1.65/1.45 inference(pi_clausification,[status(thm)],[f109])).
% 1.65/1.45 thf(f109,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) | ($false = (X2 @ X0 @ lBill_THFTYPE_i))) )),
% 1.65/1.45 inference(not_proxy_clausification,[status(thm)],[f108])).
% 1.65/1.45 thf(f108,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))))) = $false) | ($false = (X2 @ X0 @ lBill_THFTYPE_i)) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )),
% 1.65/1.45 inference(binary_proxy_clausification,[status(thm)],[f107])).
% 1.65/1.45 thf(f107,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = ((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0)))))))) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0)))))) = $false)) )),
% 1.65/1.45 inference(binary_proxy_clausification,[status(thm)],[f106])).
% 1.65/1.45 thf(f106,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))))) )),
% 1.65/1.45 inference(binary_proxy_clausification,[status(thm)],[f104])).
% 1.65/1.45 thf(f104,plain,(
% 1.65/1.45 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = ((((X2 @ X0 @ lBill_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y1 @ Y0))))))) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ Y0))))))) & (X1 @ X0 @ lAnna_THFTYPE_i)))) )),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f37])).
% 1.65/1.45 thf(f58,plain,(
% 1.65/1.45 spl0_1 | spl0_2),
% 1.65/1.45 inference(avatar_split_clause,[status(thm)],[f48,f55,f51])).
% 1.65/1.45 thf(f48,plain,(
% 1.65/1.45 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true) | ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i) = $false)),
% 1.65/1.45 inference(fool_paramodulation,[status(thm)],[f38])).
% 1.65/1.45 % SZS output end Proof for DTF2THF_7388
% 1.65/1.45 % (7512)------------------------------
% 1.65/1.45 % (7512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45 % (7512)Termination reason: Refutation
% 1.65/1.45
% 1.65/1.45 % (7512)Memory used [KB]: 5756
% 1.65/1.45 % (7512)Time elapsed: 0.023 s
% 1.65/1.45 % (7512)Instructions burned: 33 (million)
% 1.65/1.45 % (7512)------------------------------
% 1.65/1.45 % (7512)------------------------------
% 1.65/1.45 % (7485)Success in time 0.104 s
%------------------------------------------------------------------------------