%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR133^1 : 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 : n027.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 1.68s 1.42s
% Output : Refutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : CSR133^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n027.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 05:48:37 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.38 ---- Original DTF file ---
% 0.18/0.38 thf(spec,logic,$$dhol).
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 % File : CSR133^1 : TPTP v9.2.1. Released v4.1.0.
% 0.18/0.38 % Domain : Commonsense Reasoning
% 0.18/0.38 % Problem : In 2009, what are different feelings for Bill and Anna?
% 0.18/0.38 % Version : Especial.
% 0.18/0.38 % English : In the context of year 2009: Do there exists different relations
% 0.18/0.38 % ?R and ?Q so that ?R holds between a person ?Y and Bill and ?Q
% 0.18/0.38 % between ?Y and Anna.
% 0.18/0.38
% 0.18/0.38 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.18/0.38 % Source : [Ben10]
% 0.18/0.38 % Names : ef_rv_5.tq_SUMO_local [Ben10]
% 0.18/0.38
% 0.18/0.38 % Status : Theorem
% 0.18/0.38 % Rating : 0.22 v9.1.0, 0.25 v9.0.0, 0.30 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.43 v7.4.0, 0.67 v7.2.0, 0.62 v7.1.0, 0.88 v7.0.0, 1.00 v6.3.0, 0.80 v6.2.0, 0.71 v6.1.0, 0.86 v5.5.0, 1.00 v5.4.0, 0.80 v5.2.0, 1.00 v4.1.0
% 0.18/0.38 % Syntax : Number of formulae : 23 ( 0 unt; 12 typ; 0 def)
% 0.18/0.38 % Number of atoms : 26 ( 1 equ; 4 cnn)
% 0.18/0.38 % Maximal formula atoms : 3 ( 2 avg)
% 0.18/0.38 % Number of connectives : 67 ( 4 ~; 0 |; 2 &; 61 @)
% 0.18/0.38 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.38 % Maximal formula depth : 9 ( 5 avg)
% 0.18/0.38 % Number of types : 3 ( 1 usr)
% 0.18/0.38 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.18/0.38 % Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% 0.18/0.38 % Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% 0.18/0.38 % SPC : TH0_THM_EQU_NAR
% 0.18/0.38
% 0.18/0.38 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.18/0.38 % Initally the problem has been hand generated in KIF syntax in
% 0.18/0.38 % SigmaKEE and then automatically translated by Benzmueller's
% 0.18/0.38 % KIF2TH0 translator into THF syntax.
% 0.18/0.38 % : The translation has been applied in two modes: local and SInE.
% 0.18/0.38 % The local mode only translates the local assumptions and the
% 0.18/0.38 % query. The SInE mode additionally translates the SInE-extract
% 0.18/0.38 % of the loaded knowledge base (usually SUMO).
% 0.18/0.38 % : The examples are selected to illustrate the benefits of
% 0.18/0.38 % higher-order reasoning in ontology reasoning.
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 %----The extracted signature
% 0.18/0.38 thf(numbers,type,
% 0.18/0.38 num: $tType ).
% 0.18/0.38
% 0.18/0.38 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.18/0.38
% 0.18/0.38 thf(lAnna_THFTYPE_i,type,
% 0.18/0.38 lAnna_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(lBen_THFTYPE_i,type,
% 0.18/0.38 lBen_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(lBill_THFTYPE_i,type,
% 0.18/0.38 lBill_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(lBob_THFTYPE_i,type,
% 0.18/0.38 lBob_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(lMary_THFTYPE_i,type,
% 0.18/0.38 lMary_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(lSue_THFTYPE_i,type,
% 0.18/0.38 lSue_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(lYearFn_THFTYPE_IiiI,type,
% 0.18/0.38 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.18/0.38
% 0.18/0.38 thf(likes_THFTYPE_IiioI,type,
% 0.18/0.38 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(n2009_THFTYPE_i,type,
% 0.18/0.38 n2009_THFTYPE_i: $i ).
% 0.18/0.38
% 0.18/0.38 thf(parent_THFTYPE_IiioI,type,
% 0.18/0.38 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.38
% 0.18/0.38 %----The translated axioms
% 0.18/0.38 thf(ax,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_001,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_002,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_003,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_004,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_005,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_006,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_007,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_008,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.18/0.38
% 0.18/0.38 thf(ax_009,axiom,
% 0.18/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ).
% 0.18/0.38
% 0.18/0.38 %----The translated conjecture
% 0.18/0.38 thf(con,conjecture,
% 0.18/0.38 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 0.18/0.38 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.18/0.38 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 0.18/0.38 & ( Q @ Y @ lAnna_THFTYPE_i )
% 0.18/0.38 & ( (~) @ ( R = Q ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 ------------------------
% 0.22/1.30 ---- Embedded in THF ---
% 0.22/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.22/1.30 %%% Generated on Tue Feb 24 05:48:38 EST 2026
% 0.22/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 0.22/1.30 %%% Logic specification used:
% 0.22/1.30 %%% thf(spec, logic, $$dhol).
% 0.22/1.30
% 0.22/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2DTF8565.p
% 0.22/1.30 thf(numbers, type, num: $tType).
% 0.22/1.30 thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 0.22/1.30 thf(lAnna_THFTYPE_i, type, lAnna_THFTYPE_i: $i).
% 0.22/1.30 thf(lBen_THFTYPE_i, type, lBen_THFTYPE_i: $i).
% 0.22/1.30 thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 0.22/1.30 thf(lBob_THFTYPE_i, type, lBob_THFTYPE_i: $i).
% 0.22/1.30 thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 0.22/1.30 thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 0.22/1.30 thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.22/1.30 thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 0.22/1.30 thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 0.22/1.30 thf(parent_THFTYPE_IiioI, type, parent_THFTYPE_IiioI: ($i > ($i > $o))).
% 0.22/1.30 thf(ax, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lAnna_THFTYPE_i))).
% 0.22/1.30 thf(ax_001, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBen_THFTYPE_i))).
% 0.22/1.30 thf(ax_002, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lAnna_THFTYPE_i)))).
% 0.22/1.30 thf(ax_003, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i))).
% 0.22/1.30 thf(ax_004, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))).
% 0.22/1.30 thf(ax_005, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i) @ lBen_THFTYPE_i)))).
% 0.22/1.30 thf(ax_006, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i))).
% 0.22/1.30 thf(ax_007, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lAnna_THFTYPE_i))).
% 0.22/1.30 thf(ax_008, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBen_THFTYPE_i))).
% 0.22/1.30 thf(ax_009, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lMary_THFTYPE_i)))).
% 0.22/1.30 thf(con, conjecture, (? [Q:($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 = Q)))))))).
% 0.22/1.30 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2DTF8565.p
% 0.22/1.30 ------------------------
% 0.22/1.31 ---- Cleaned THF ---
% 0.22/1.31 thf(numbers,type,
% 0.22/1.31 num: $tType ).
% 0.22/1.31
% 0.22/1.31 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.22/1.31
% 0.22/1.31 thf(lAnna_THFTYPE_i,type,
% 0.22/1.31 lAnna_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(lBen_THFTYPE_i,type,
% 0.22/1.31 lBen_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(lBill_THFTYPE_i,type,
% 0.22/1.31 lBill_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(lBob_THFTYPE_i,type,
% 0.22/1.31 lBob_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(lMary_THFTYPE_i,type,
% 0.22/1.31 lMary_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(lSue_THFTYPE_i,type,
% 0.22/1.31 lSue_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(lYearFn_THFTYPE_IiiI,type,
% 0.22/1.31 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.22/1.31
% 0.22/1.31 thf(likes_THFTYPE_IiioI,type,
% 0.22/1.31 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.22/1.31
% 0.22/1.31 thf(n2009_THFTYPE_i,type,
% 0.22/1.31 n2009_THFTYPE_i: $i ).
% 0.22/1.31
% 0.22/1.31 thf(parent_THFTYPE_IiioI,type,
% 0.22/1.31 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.22/1.31
% 0.22/1.31 thf(ax,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_001,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_002,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_003,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_004,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_005,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_006,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_007,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_008,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.22/1.31
% 0.22/1.31 thf(ax_009,axiom,
% 0.22/1.31 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ).
% 0.22/1.31
% 0.22/1.31 thf(con,conjecture,
% 0.22/1.31 ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
% 0.22/1.31 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.22/1.31 @ ( ( R @ Y @ lBill_THFTYPE_i )
% 0.22/1.31 & ( Q @ Y @ lAnna_THFTYPE_i )
% 0.22/1.31 & ( (~) @ ( R = Q ) ) ) ) ).
% 0.22/1.31 ------------------------
% 0.22/1.33 % (8668)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/18Mi)
% 0.22/1.33 % (8666)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_8565 for (2999ds/2Mi)
% 0.22/1.33 % (8664)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_8565 for (2999ds/27Mi)
% 0.22/1.33 % (8665)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/2Mi)
% 0.22/1.33 % (8667)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_8565 for (2999ds/275Mi)
% 0.22/1.33 % (8662)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/183Mi)
% 0.22/1.33 % (8663)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_8565 for (2999ds/4Mi)
% 0.22/1.33 % (8665)Instruction limit reached!
% 0.22/1.33 % (8665)------------------------------
% 0.22/1.33 % (8665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.33 % (8665)Termination reason: Unknown
% 0.22/1.33 % (8665)Termination phase: Saturation
% 0.22/1.33
% 0.22/1.33 % (8665)Memory used [KB]: 5373
% 0.22/1.33 % (8665)Time elapsed: 0.003 s
% 0.22/1.33 % (8665)Instructions burned: 2 (million)
% 0.22/1.33 % (8665)------------------------------
% 0.22/1.33 % (8665)------------------------------
% 0.22/1.33 % (8666)Instruction limit reached!
% 0.22/1.33 % (8666)------------------------------
% 0.22/1.33 % (8666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.33 % (8666)Termination reason: Unknown
% 0.22/1.33 % (8666)Termination phase: Saturation
% 0.22/1.33
% 0.22/1.33 % (8666)Memory used [KB]: 1023
% 0.22/1.33 % (8666)Time elapsed: 0.003 s
% 0.22/1.33 % (8666)Instructions burned: 2 (million)
% 0.22/1.33 % (8666)------------------------------
% 0.22/1.33 % (8666)------------------------------
% 0.22/1.33 % (8667)Refutation not found, incomplete strategy
% 0.22/1.33 % (8667)------------------------------
% 0.22/1.33 % (8667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.33 % (8667)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.33
% 0.22/1.33
% 0.22/1.33 % (8667)Memory used [KB]: 5500
% 0.22/1.33 % (8667)Time elapsed: 0.003 s
% 0.22/1.33 % (8667)Instructions burned: 2 (million)
% 0.22/1.33 % (8667)------------------------------
% 0.22/1.33 % (8667)------------------------------
% 0.22/1.33 % (8663)Instruction limit reached!
% 0.22/1.33 % (8663)------------------------------
% 0.22/1.33 % (8663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.33 % (8663)Termination reason: Unknown
% 0.22/1.33 % (8663)Termination phase: Saturation
% 0.22/1.33
% 0.22/1.33 % (8663)Memory used [KB]: 5500
% 0.22/1.33 % (8663)Time elapsed: 0.005 s
% 0.22/1.33 % (8663)Instructions burned: 5 (million)
% 0.22/1.33 % (8663)------------------------------
% 0.22/1.33 % (8663)------------------------------
% 0.22/1.33 % (8664)Refutation not found, incomplete strategy
% 0.22/1.33 % (8664)------------------------------
% 0.22/1.33 % (8664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.33 % (8664)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.33
% 0.22/1.33
% 0.22/1.33 % (8664)Memory used [KB]: 5500
% 0.22/1.33 % (8664)Time elapsed: 0.005 s
% 0.22/1.33 % (8664)Instructions burned: 5 (million)
% 0.22/1.33 % (8664)------------------------------
% 0.22/1.33 % (8664)------------------------------
% 0.22/1.34 % (8668)Instruction limit reached!
% 0.22/1.34 % (8668)------------------------------
% 0.22/1.34 % (8668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.34 % (8668)Termination reason: Unknown
% 0.22/1.34 % (8668)Termination phase: Saturation
% 0.22/1.34
% 0.22/1.34 % (8668)Memory used [KB]: 5500
% 0.22/1.34 % (8668)Time elapsed: 0.011 s
% 0.22/1.34 % (8668)Instructions burned: 19 (million)
% 0.22/1.34 % (8668)------------------------------
% 0.22/1.34 % (8668)------------------------------
% 0.22/1.35 % (8669)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/3Mi)
% 0.22/1.35 % (8670)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_8565 for (2999ds/37Mi)
% 0.22/1.35 % (8671)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_8565 for (2999ds/15Mi)
% 0.22/1.35 % (8669)Instruction limit reached!
% 0.22/1.35 % (8669)------------------------------
% 0.22/1.35 % (8669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.35 % (8669)Termination reason: Unknown
% 0.22/1.35 % (8669)Termination phase: Saturation
% 0.22/1.35
% 0.22/1.35 % (8669)Memory used [KB]: 5500
% 0.22/1.35 % (8669)Time elapsed: 0.003 s
% 0.22/1.35 % (8669)Instructions burned: 3 (million)
% 0.22/1.35 % (8669)------------------------------
% 0.22/1.35 % (8669)------------------------------
% 0.22/1.35 % (8672)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_8565 for (2999ds/3Mi)
% 0.22/1.35 % (8673)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_8565 for (2999ds/1041Mi)
% 0.22/1.35 % (8672)Instruction limit reached!
% 0.22/1.35 % (8672)------------------------------
% 0.22/1.35 % (8672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.35 % (8672)Termination reason: Unknown
% 0.22/1.35 % (8672)Termination phase: Saturation
% 0.22/1.35
% 0.22/1.35 % (8672)Memory used [KB]: 5500
% 0.22/1.35 % (8672)Time elapsed: 0.003 s
% 0.22/1.35 % (8672)Instructions burned: 3 (million)
% 0.22/1.35 % (8672)------------------------------
% 0.22/1.35 % (8672)------------------------------
% 0.22/1.36 % (8674)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/7Mi)
% 0.22/1.36 % (8673)Refutation not found, incomplete strategy
% 0.22/1.36 % (8673)------------------------------
% 0.22/1.36 % (8673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.36 % (8673)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.36
% 0.22/1.36
% 0.22/1.36 % (8673)Memory used [KB]: 5500
% 0.22/1.36 % (8673)Time elapsed: 0.006 s
% 0.22/1.36 % (8673)Instructions burned: 9 (million)
% 0.22/1.36 % (8673)------------------------------
% 0.22/1.36 % (8673)------------------------------
% 0.22/1.36 % (8671)Instruction limit reached!
% 0.22/1.36 % (8671)------------------------------
% 0.22/1.36 % (8671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.36 % (8671)Termination reason: Unknown
% 0.22/1.36 % (8671)Termination phase: Saturation
% 0.22/1.36
% 0.22/1.36 % (8671)Memory used [KB]: 5628
% 0.22/1.36 % (8671)Time elapsed: 0.010 s
% 0.22/1.36 % (8671)Instructions burned: 16 (million)
% 0.22/1.36 % (8671)------------------------------
% 0.22/1.36 % (8671)------------------------------
% 0.22/1.36 % (8674)Instruction limit reached!
% 0.22/1.36 % (8674)------------------------------
% 0.22/1.36 % (8674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.36 % (8674)Termination reason: Unknown
% 0.22/1.36 % (8674)Termination phase: Saturation
% 0.22/1.36
% 0.22/1.36 % (8674)Memory used [KB]: 1023
% 0.22/1.36 % (8674)Time elapsed: 0.005 s
% 0.22/1.36 % (8674)Instructions burned: 7 (million)
% 0.22/1.36 % (8674)------------------------------
% 0.22/1.36 % (8674)------------------------------
% 0.22/1.36 % (8675)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/16Mi)
% 0.22/1.36 % (8670)Instruction limit reached!
% 0.22/1.36 % (8670)------------------------------
% 0.22/1.36 % (8670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.37 % (8670)Termination reason: Unknown
% 0.22/1.37 % (8670)Termination phase: Saturation
% 0.22/1.37
% 0.22/1.37 % (8670)Memory used [KB]: 6012
% 0.22/1.37 % (8670)Time elapsed: 0.019 s
% 0.22/1.37 % (8670)Instructions burned: 38 (million)
% 0.22/1.37 % (8670)------------------------------
% 0.22/1.37 % (8670)------------------------------
% 0.22/1.37 % (8676)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_8565 for (2999ds/3Mi)
% 0.22/1.37 % (8676)Instruction limit reached!
% 0.22/1.37 % (8676)------------------------------
% 0.22/1.37 % (8676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.37 % (8676)Termination reason: Unknown
% 0.22/1.37 % (8676)Termination phase: Twee Goal Transformation
% 0.22/1.37
% 0.22/1.37 % (8676)Memory used [KB]: 1023
% 0.22/1.37 % (8676)Time elapsed: 0.003 s
% 0.22/1.37 % (8676)Instructions burned: 3 (million)
% 0.22/1.37 % (8676)------------------------------
% 0.22/1.37 % (8676)------------------------------
% 0.22/1.37 % (8677)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_8565 for (2999ds/3Mi)
% 0.22/1.37 % (8678)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/7Mi)
% 0.22/1.37 % (8677)Instruction limit reached!
% 0.22/1.37 % (8677)------------------------------
% 0.22/1.37 % (8677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.37 % (8675)Instruction limit reached!
% 0.22/1.37 % (8675)------------------------------
% 0.22/1.37 % (8675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.37 % (8675)Termination reason: Unknown
% 0.22/1.37 % (8675)Termination phase: Saturation
% 0.22/1.37
% 0.22/1.37 % (8675)Memory used [KB]: 5628
% 0.22/1.37 % (8675)Time elapsed: 0.010 s
% 0.22/1.37 % (8675)Instructions burned: 17 (million)
% 0.22/1.37 % (8675)------------------------------
% 0.22/1.37 % (8675)------------------------------
% 0.22/1.37 % (8677)Termination reason: Unknown
% 0.22/1.37 % (8677)Termination phase: Saturation
% 0.22/1.37
% 0.22/1.37 % (8677)Memory used [KB]: 1023
% 0.22/1.37 % (8677)Time elapsed: 0.003 s
% 0.22/1.37 % (8677)Instructions burned: 4 (million)
% 0.22/1.37 % (8677)------------------------------
% 0.22/1.37 % (8677)------------------------------
% 0.22/1.37 % (8679)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/3Mi)
% 0.22/1.38 % (8678)Instruction limit reached!
% 0.22/1.38 % (8678)------------------------------
% 0.22/1.38 % (8678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.38 % (8678)Termination reason: Unknown
% 0.22/1.38 % (8679)Instruction limit reached!
% 0.22/1.38 % (8679)------------------------------
% 0.22/1.38 % (8679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.38 % (8679)Termination reason: Unknown
% 0.22/1.38 % (8679)Termination phase: Saturation
% 0.22/1.38
% 0.22/1.38 % (8679)Memory used [KB]: 5500
% 0.22/1.38 % (8679)Time elapsed: 0.003 s
% 0.22/1.38 % (8679)Instructions burned: 3 (million)
% 0.22/1.38 % (8679)------------------------------
% 0.22/1.38 % (8679)------------------------------
% 0.22/1.38 % (8678)Termination phase: Saturation
% 0.22/1.38
% 0.22/1.38 % (8678)Memory used [KB]: 5500
% 0.22/1.38 % (8678)Time elapsed: 0.005 s
% 0.22/1.38 % (8678)Instructions burned: 8 (million)
% 0.22/1.38 % (8678)------------------------------
% 0.22/1.38 % (8678)------------------------------
% 0.22/1.38 % (8681)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/4Mi)
% 0.22/1.38 % (8681)Instruction limit reached!
% 0.22/1.38 % (8681)------------------------------
% 0.22/1.38 % (8681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.38 % (8681)Termination reason: Unknown
% 0.22/1.38 % (8681)Termination phase: Saturation
% 0.22/1.38
% 0.22/1.38 % (8681)Memory used [KB]: 5500
% 0.22/1.38 % (8681)Time elapsed: 0.004 s
% 0.22/1.38 % (8681)Instructions burned: 5 (million)
% 0.22/1.38 % (8681)------------------------------
% 0.22/1.38 % (8681)------------------------------
% 0.22/1.38 % (8682)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/18Mi)
% 0.22/1.39 % (8682)Refutation not found, incomplete strategy
% 0.22/1.39 % (8682)------------------------------
% 0.22/1.39 % (8682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.39 % (8682)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.39
% 0.22/1.39
% 0.22/1.39 % (8682)Memory used [KB]: 5500
% 0.22/1.39 % (8682)Time elapsed: 0.004 s
% 0.22/1.39 % (8682)Instructions burned: 5 (million)
% 0.22/1.39 % (8682)------------------------------
% 0.22/1.39 % (8682)------------------------------
% 0.22/1.39 % (8683)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/710Mi)
% 0.22/1.39 % (8684)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/6Mi)
% 0.22/1.39 % (8685)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_8565 for (2999ds/902Mi)
% 0.22/1.39 % (8686)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_8565 for (2999ds/21Mi)
% 0.22/1.39 % (8684)Instruction limit reached!
% 0.22/1.39 % (8684)------------------------------
% 0.22/1.39 % (8684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.39 % (8684)Termination reason: Unknown
% 0.22/1.39 % (8684)Termination phase: Saturation
% 0.22/1.39
% 0.22/1.39 % (8684)Memory used [KB]: 5500
% 0.22/1.39 % (8684)Time elapsed: 0.005 s
% 0.22/1.39 % (8684)Instructions burned: 7 (million)
% 0.22/1.39 % (8684)------------------------------
% 0.22/1.39 % (8684)------------------------------
% 0.22/1.39 % (8685)Refutation not found, incomplete strategy
% 0.22/1.39 % (8685)------------------------------
% 0.22/1.39 % (8685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.22/1.39 % (8685)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.39
% 0.22/1.39
% 0.22/1.39 % (8685)Memory used [KB]: 5500
% 0.22/1.39 % (8685)Time elapsed: 0.003 s
% 0.22/1.39 % (8685)Instructions burned: 3 (million)
% 0.22/1.39 % (8685)------------------------------
% 0.22/1.39 % (8685)------------------------------
% 1.68/1.40 % (8687)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/5Mi)
% 1.68/1.40 % (8686)Instruction limit reached!
% 1.68/1.40 % (8686)------------------------------
% 1.68/1.40 % (8686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.40 % (8686)Termination reason: Unknown
% 1.68/1.40 % (8687)Instruction limit reached!
% 1.68/1.40 % (8687)------------------------------
% 1.68/1.40 % (8687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.40 % (8687)Termination reason: Unknown
% 1.68/1.40 % (8687)Termination phase: Saturation
% 1.68/1.40
% 1.68/1.40 % (8687)Memory used [KB]: 5500
% 1.68/1.40 % (8687)Time elapsed: 0.005 s
% 1.68/1.40 % (8687)Instructions burned: 6 (million)
% 1.68/1.40 % (8687)------------------------------
% 1.68/1.40 % (8687)------------------------------
% 1.68/1.40 % (8686)Termination phase: Saturation
% 1.68/1.40
% 1.68/1.40 % (8686)Memory used [KB]: 5628
% 1.68/1.40 % (8686)Time elapsed: 0.012 s
% 1.68/1.40 % (8686)Instructions burned: 21 (million)
% 1.68/1.40 % (8686)------------------------------
% 1.68/1.40 % (8686)------------------------------
% 1.68/1.40 % (8688)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_8565 for (2999ds/6Mi)
% 1.68/1.41 % (8688)Instruction limit reached!
% 1.68/1.41 % (8688)------------------------------
% 1.68/1.41 % (8688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.41 % (8688)Termination reason: Unknown
% 1.68/1.41 % (8688)Termination phase: Saturation
% 1.68/1.41
% 1.68/1.41 % (8688)Memory used [KB]: 5500
% 1.68/1.41 % (8688)Time elapsed: 0.005 s
% 1.68/1.41 % (8688)Instructions burned: 7 (million)
% 1.68/1.41 % (8688)------------------------------
% 1.68/1.41 % (8688)------------------------------
% 1.68/1.41 % (8689)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/377Mi)
% 1.68/1.41 % (8690)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_8565 for (2999ds/779Mi)
% 1.68/1.42 % (8691)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_8565 for (2999ds/19Mi)
% 1.68/1.42 % (8692)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/879Mi)
% 1.68/1.42 % (8662)Instruction limit reached!
% 1.68/1.42 % (8662)------------------------------
% 1.68/1.42 % (8662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.42 % (8662)Termination reason: Unknown
% 1.68/1.42 % (8662)Termination phase: Saturation
% 1.68/1.42
% 1.68/1.42 % (8662)Memory used [KB]: 7036
% 1.68/1.42 % (8662)Time elapsed: 0.091 s
% 1.68/1.42 % (8662)Instructions burned: 185 (million)
% 1.68/1.42 % (8662)------------------------------
% 1.68/1.42 % (8662)------------------------------
% 1.68/1.42 % (8691)Refutation not found, incomplete strategy
% 1.68/1.42 % (8691)------------------------------
% 1.68/1.42 % (8691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.42 % (8691)Termination reason: Refutation not found, incomplete strategy
% 1.68/1.42
% 1.68/1.42
% 1.68/1.42 % (8691)Memory used [KB]: 5500
% 1.68/1.42 % (8691)Time elapsed: 0.003 s
% 1.68/1.42 % (8691)Instructions burned: 3 (million)
% 1.68/1.42 % (8691)------------------------------
% 1.68/1.42 % (8691)------------------------------
% 1.68/1.42 % (8689)First to succeed.
% 1.68/1.42 % (8692)Refutation not found, incomplete strategy
% 1.68/1.42 % (8692)------------------------------
% 1.68/1.42 % (8692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.42 % (8692)Termination reason: Refutation not found, incomplete strategy
% 1.68/1.42
% 1.68/1.42
% 1.68/1.42 % (8692)Memory used [KB]: 5500
% 1.68/1.42 % (8692)Time elapsed: 0.028 s
% 1.68/1.42 % (8692)Instructions burned: 7 (million)
% 1.68/1.42 % (8692)------------------------------
% 1.68/1.42 % (8692)------------------------------
% 1.68/1.42 % (8693)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_8565 for (2999ds/17Mi)
% 1.68/1.42 % (8689)Refutation found. Thanks to Tanya!
% 1.68/1.42 % SZS status Theorem for DTF2THF_8565
% 1.68/1.42 % SZS output start Proof for DTF2THF_8565
% 1.68/1.42 thf(func_def_0, type, num: $tType).
% 1.68/1.42 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.68/1.42 thf(func_def_8, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.68/1.42 thf(func_def_9, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.68/1.42 thf(func_def_11, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 1.68/1.42 thf(func_def_19, type, ph1: !>[X0: $tType]:(X0)).
% 1.68/1.42 thf(f242,plain,(
% 1.68/1.42 $false),
% 1.68/1.42 inference(avatar_sat_refutation,[status(thm)],[f58,f127,f136,f146,f225,f227])).
% 1.68/1.42 thf(f227,plain,(
% 1.68/1.42 ~spl0_5),
% 1.68/1.42 inference(avatar_contradiction_clause,[status(thm)],[f226])).
% 1.68/1.42 thf(f226,plain,(
% 1.68/1.42 $false | ~spl0_5),
% 1.68/1.42 inference(flex-flex_simplify,[status(thm)],[f131])).
% 1.68/1.42 thf(f131,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o] : ((X0 != X2)) ) | ~spl0_5),
% 1.68/1.42 inference(avatar_component_clause,[status(thm)],[f130])).
% 1.68/1.42 thf(f130,definition,(
% 1.68/1.42 spl0_5 <=> ! [X2 : $i > $i > $o,X0 : $i > $i > $o] : (X0 != X2)),
% 1.68/1.42 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 1.68/1.42 thf(f225,plain,(
% 1.68/1.42 ~spl0_4 | spl0_6),
% 1.68/1.42 inference(avatar_contradiction_clause,[status(thm)],[f224])).
% 1.68/1.42 thf(f224,plain,(
% 1.68/1.42 $false | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f216])).
% 1.68/1.42 thf(f216,plain,(
% 1.68/1.42 ($true = $false) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(superposition,[status(thm)],[f211,f156])).
% 1.68/1.42 thf(f156,plain,(
% 1.68/1.42 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | spl0_6),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f155])).
% 1.68/1.42 thf(f155,plain,(
% 1.68/1.42 ($true = $false) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | spl0_6),
% 1.68/1.42 inference(forward_demodulation,[status(thm)],[f84,f140])).
% 1.68/1.42 thf(f140,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $false) | spl0_6),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f138])).
% 1.68/1.42 thf(f138,plain,(
% 1.68/1.42 ($true != $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $false) | spl0_6),
% 1.68/1.42 inference(fool_paramodulation,[status(thm)],[f135])).
% 1.68/1.42 thf(f135,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | spl0_6),
% 1.68/1.42 inference(avatar_component_clause,[status(thm)],[f133])).
% 1.68/1.42 thf(f133,definition,(
% 1.68/1.42 spl0_6 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)),
% 1.68/1.42 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 1.68/1.42 thf(f84,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)),
% 1.68/1.42 inference(boolean_simplification,[status(thm)],[f81])).
% 1.68/1.42 thf(f81,plain,(
% 1.68/1.42 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true))) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)),
% 1.68/1.42 inference(fool_paramodulation,[status(thm)],[f38])).
% 1.68/1.42 thf(f38,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)),
% 1.68/1.42 inference(cnf_transformation,[status(thm)],[f25])).
% 1.68/1.42 thf(f25,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)),
% 1.68/1.42 inference(fool_elimination,[status(thm)],[f24])).
% 1.68/1.42 thf(f24,plain,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 1.68/1.42 inference(rectify,[status(thm)],[f10])).
% 1.68/1.42 thf(f10,axiom,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 1.68/1.42 file('/export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2THF_8565.p',ax_009)).
% 1.68/1.42 thf(f211,plain,(
% 1.68/1.42 ( ! [X2 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X1 @ X2) = $true)) ) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(beta_eta_normalization,[status(thm)],[f210])).
% 1.68/1.42 thf(f210,plain,(
% 1.68/1.42 ( ! [X2 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X1 @ X2) = ((^[Y0 : $i]: ($true)) @ X2))) ) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(argument_congruence,[status(thm)],[f208])).
% 1.68/1.42 thf(f208,plain,(
% 1.68/1.42 ( ! [X1 : $i] : (((likes_THFTYPE_IiioI @ X1) = (^[Y0 : $i]: ($true)))) ) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(beta_eta_normalization,[status(thm)],[f207])).
% 1.68/1.42 thf(f207,plain,(
% 1.68/1.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1) = (likes_THFTYPE_IiioI @ X1))) ) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(argument_congruence,[status(thm)],[f204])).
% 1.68/1.42 thf(f204,plain,(
% 1.68/1.42 (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(forward_demodulation,[status(thm)],[f194,f200])).
% 1.68/1.42 thf(f200,plain,(
% 1.68/1.42 (parent_THFTYPE_IiioI = likes_THFTYPE_IiioI) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f199])).
% 1.68/1.42 thf(f199,plain,(
% 1.68/1.42 ($true = $false) | (parent_THFTYPE_IiioI = likes_THFTYPE_IiioI) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(forward_demodulation,[status(thm)],[f192,f140])).
% 1.68/1.42 thf(f192,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | (parent_THFTYPE_IiioI = likes_THFTYPE_IiioI) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(superposition,[status(thm)],[f45,f185])).
% 1.68/1.42 thf(f185,plain,(
% 1.68/1.42 ( ! [X0 : $i > $i > $o] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $false) | (parent_THFTYPE_IiioI = X0)) ) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f184])).
% 1.68/1.42 thf(f184,plain,(
% 1.68/1.42 ( ! [X0 : $i > $i > $o] : (($true = $false) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $false) | (parent_THFTYPE_IiioI = X0)) ) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(forward_demodulation,[status(thm)],[f176,f140])).
% 1.68/1.42 thf(f176,plain,(
% 1.68/1.42 ( ! [X0 : $i > $i > $o] : ((parent_THFTYPE_IiioI = X0) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)) ) | ~spl0_4),
% 1.68/1.42 inference(superposition,[status(thm)],[f43,f126])).
% 1.68/1.42 thf(f126,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X1 @ lAnna_THFTYPE_i) = $false) | (X0 = X2) | ((X0 @ X1 @ lBill_THFTYPE_i) = $false)) ) | ~spl0_4),
% 1.68/1.42 inference(avatar_component_clause,[status(thm)],[f125])).
% 1.68/1.42 thf(f125,definition,(
% 1.68/1.42 spl0_4 <=> ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X1 @ lAnna_THFTYPE_i) = $false) | ((X0 @ X1 @ lBill_THFTYPE_i) = $false) | (X0 = X2))),
% 1.68/1.42 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.68/1.42 thf(f43,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.68/1.42 inference(cnf_transformation,[status(thm)],[f23])).
% 1.68/1.42 thf(f23,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.68/1.42 inference(fool_elimination,[status(thm)],[f22])).
% 1.68/1.42 thf(f22,plain,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.68/1.42 inference(rectify,[status(thm)],[f1])).
% 1.68/1.42 thf(f1,axiom,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.68/1.42 file('/export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2THF_8565.p',ax)).
% 1.68/1.42 thf(f45,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.68/1.42 inference(cnf_transformation,[status(thm)],[f35])).
% 1.68/1.42 thf(f35,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.68/1.42 inference(fool_elimination,[status(thm)],[f34])).
% 1.68/1.42 thf(f34,plain,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.42 inference(rectify,[status(thm)],[f7])).
% 1.68/1.42 thf(f7,axiom,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.42 file('/export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2THF_8565.p',ax_006)).
% 1.68/1.42 thf(f194,plain,(
% 1.68/1.42 (parent_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f193])).
% 1.68/1.42 thf(f193,plain,(
% 1.68/1.42 ($true = $false) | (parent_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(beta_eta_normalization,[status(thm)],[f189])).
% 1.68/1.42 thf(f189,plain,(
% 1.68/1.42 (parent_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $false) | (~spl0_4 | spl0_6)),
% 1.68/1.42 inference(primitive_instantiation,[status(thm)],[f185])).
% 1.68/1.42 thf(f146,plain,(
% 1.68/1.42 ~spl0_2 | spl0_6),
% 1.68/1.42 inference(avatar_contradiction_clause,[status(thm)],[f145])).
% 1.68/1.42 thf(f145,plain,(
% 1.68/1.42 $false | (~spl0_2 | spl0_6)),
% 1.68/1.42 inference(trivial_inequality_removal,[status(thm)],[f144])).
% 1.68/1.42 thf(f144,plain,(
% 1.68/1.42 ($true = $false) | (~spl0_2 | spl0_6)),
% 1.68/1.42 inference(backward_demodulation,[status(thm)],[f59,f140])).
% 1.68/1.42 thf(f59,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ~spl0_2),
% 1.68/1.42 inference(backward_demodulation,[status(thm)],[f37,f57])).
% 1.68/1.42 thf(f57,plain,(
% 1.68/1.42 ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ~spl0_2),
% 1.68/1.42 inference(avatar_component_clause,[status(thm)],[f55])).
% 1.68/1.42 thf(f55,definition,(
% 1.68/1.42 spl0_2 <=> ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false)),
% 1.68/1.42 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.68/1.42 thf(f37,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.68/1.42 inference(cnf_transformation,[status(thm)],[f19])).
% 1.68/1.42 thf(f19,plain,(
% 1.68/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.68/1.42 inference(fool_elimination,[status(thm)],[f18])).
% 1.68/1.42 thf(f18,plain,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.68/1.42 inference(rectify,[status(thm)],[f8])).
% 1.68/1.42 thf(f8,axiom,(
% 1.68/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.68/1.42 file('/export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2THF_8565.p',ax_007)).
% 1.68/1.42 thf(f136,plain,(
% 1.68/1.42 spl0_5 | ~spl0_6),
% 1.68/1.42 inference(avatar_split_clause,[status(thm)],[f110,f133,f130])).
% 1.68/1.42 thf(f110,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o] : ((X0 != X2) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )),
% 1.68/1.42 inference(equality_proxy_clausification,[status(thm)],[f109])).
% 1.68/1.42 thf(f109,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ((X0 = X2) = $false)) )),
% 1.68/1.42 inference(boolean_simplification,[status(thm)],[f108])).
% 1.68/1.42 thf(f108,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (X0 @ X1 @ lBill_THFTYPE_i)))) | ((X0 = X2) = $false)) )),
% 1.68/1.42 inference(boolean_simplification,[status(thm)],[f107])).
% 1.68/1.42 thf(f107,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((X0 = X2) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($false & (X2 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lBill_THFTYPE_i))) != $true)) )),
% 1.68/1.42 inference(boolean_simplification,[status(thm)],[f96])).
% 1.68/1.42 thf(f96,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ $true) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lBill_THFTYPE_i))) != $true) | ((X0 = X2) = $false)) )),
% 1.68/1.42 inference(fool_paramodulation,[status(thm)],[f47])).
% 1.68/1.42 thf(f47,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (X0 = X2)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lBill_THFTYPE_i))))) )),
% 1.68/1.42 inference(cnf_transformation,[status(thm)],[f36])).
% 1.68/1.42 thf(f36,plain,(
% 1.68/1.42 ! [X0 : $i > $i > $o,X1 : $i,X2 : $i > $i > $o] : ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (X0 = X2)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lBill_THFTYPE_i))))),
% 1.68/1.42 inference(ennf_transformation,[status(thm)],[f31])).
% 1.68/1.42 thf(f31,plain,(
% 1.68/1.42 ~? [X0 : $i > $i > $o,X1 : $i,X2 : $i > $i > $o] : ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((~ (X0 = X2)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lBill_THFTYPE_i))))),
% 1.68/1.42 inference(fool_elimination,[status(thm)],[f30])).
% 1.68/1.42 thf(f30,plain,(
% 1.68/1.42 ~? [X0 : $i > $i > $o,X1 : $i,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ X1 @ lBill_THFTYPE_i) & (X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 = X2)))),
% 1.68/1.42 inference(rectify,[status(thm)],[f12])).
% 1.68/1.42 thf(f12,negated_conjecture,(
% 1.68/1.42 ~? [X1 : $i > $i > $o,X2 : $i,X0 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X1 @ X2 @ lBill_THFTYPE_i) & (X0 @ X2 @ lAnna_THFTYPE_i) & (~ (X0 = X1)))),
% 1.68/1.42 inference(negated_conjecture,[status(cth)],[f11])).
% 1.68/1.42 thf(f11,conjecture,(
% 1.68/1.42 ? [X1 : $i > $i > $o,X2 : $i,X0 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X1 @ X2 @ lBill_THFTYPE_i) & (X0 @ X2 @ lAnna_THFTYPE_i) & (~ (X0 = X1)))),
% 1.68/1.42 file('/export/starexec/sandbox2/tmp/tmp.201oHd9Dup/DTF2THF_8565.p',con)).
% 1.68/1.42 thf(f127,plain,(
% 1.68/1.42 spl0_4 | ~spl0_1),
% 1.68/1.42 inference(avatar_split_clause,[status(thm)],[f118,f51,f125])).
% 1.68/1.42 thf(f51,definition,(
% 1.68/1.42 spl0_1 <=> ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))),
% 1.68/1.42 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.68/1.42 thf(f118,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | ((X2 @ X1 @ lAnna_THFTYPE_i) = $false) | (X0 = X2) | ((X0 @ X1 @ lBill_THFTYPE_i) = $false)) )),
% 1.68/1.42 inference(equality_proxy_clausification,[status(thm)],[f117])).
% 1.68/1.42 thf(f117,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | ((X2 @ X1 @ lAnna_THFTYPE_i) = $false) | ($true = (X0 = X2)) | ((X0 @ X1 @ lBill_THFTYPE_i) = $false)) )),
% 1.68/1.42 inference(not_proxy_clausification,[status(thm)],[f116])).
% 1.68/1.42 thf(f116,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | ((X2 @ X1 @ lAnna_THFTYPE_i) = $false) | ((~ (X0 = X2)) = $false) | ((X0 @ X1 @ lBill_THFTYPE_i) = $false)) )),
% 1.68/1.42 inference(binary_proxy_clausification,[status(thm)],[f115])).
% 1.68/1.42 thf(f115,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ lBill_THFTYPE_i) = $false) | ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | (((~ (X0 = X2)) & (X2 @ X1 @ lAnna_THFTYPE_i)) = $false)) )),
% 1.68/1.42 inference(binary_proxy_clausification,[status(thm)],[f101])).
% 1.68/1.42 thf(f101,plain,(
% 1.68/1.42 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((((~ (X0 = X2)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lBill_THFTYPE_i)) = $false) | ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) )),
% 1.68/1.42 inference(fool_paramodulation,[status(thm)],[f47])).
% 1.68/1.42 thf(f58,plain,(
% 1.68/1.42 spl0_1 | spl0_2),
% 1.68/1.42 inference(avatar_split_clause,[status(thm)],[f48,f55,f51])).
% 1.68/1.42 thf(f48,plain,(
% 1.68/1.42 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $false)),
% 1.68/1.42 inference(fool_paramodulation,[status(thm)],[f37])).
% 1.68/1.42 % SZS output end Proof for DTF2THF_8565
% 1.68/1.42 % (8689)------------------------------
% 1.68/1.42 % (8689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.42 % (8689)Termination reason: Refutation
% 1.68/1.42
% 1.68/1.42 % (8689)Memory used [KB]: 5628
% 1.68/1.42 % (8689)Time elapsed: 0.016 s
% 1.68/1.42 % (8689)Instructions burned: 23 (million)
% 1.68/1.42 % (8689)------------------------------
% 1.68/1.42 % (8689)------------------------------
% 1.68/1.42 % (8661)Success in time 0.112 s
%------------------------------------------------------------------------------