%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR123^1 : 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 : n022.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 08:43:02 AM UTC 2026
% Result : Theorem 1.73s 1.42s
% Output : Refutation 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CSR123^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.30 % Computer : n022.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Feb 24 05:50:06 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.40 ---- Original DTF file ---
% 0.16/0.40 thf(spec,logic,$$dhol).
% 0.16/0.40 %------------------------------------------------------------------------------
% 0.16/0.40 % File : CSR123^1 : TPTP v9.2.1. Released v4.1.0.
% 0.16/0.40 % Domain : Commonsense Reasoning
% 0.16/0.40 % Problem : What does Sue feel?
% 0.16/0.40 % Version : Especial.
% 0.16/0.40 % English : Mary likes Bill and Sue likes Bill. During 2009 Sue did not like
% 0.16/0.40 % Ben. Are there a relation ?P and persons ?X and ?Y, so that
% 0.16/0.40 % during the year 2009 ?P holds for Sue and ?X but ?P does not hold
% 0.16/0.40 % for Sue and ?Y.
% 0.16/0.40
% 0.16/0.40 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.16/0.40 % Source : [Ben10]
% 0.16/0.40 % Names : ef_5.tq_SUMO_local [Ben10]
% 0.16/0.40
% 0.16/0.40 % Status : Theorem
% 0.16/0.40 % Rating : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.1.0, 0.50 v6.0.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v5.1.0, 0.75 v4.1.0
% 0.16/0.40 % Syntax : Number of formulae : 13 ( 2 unt; 9 typ; 0 def)
% 0.16/0.40 % Number of atoms : 7 ( 0 equ; 2 cnn)
% 0.16/0.40 % Maximal formula atoms : 3 ( 1 avg)
% 0.16/0.40 % Number of connectives : 21 ( 2 ~; 0 |; 1 &; 18 @)
% 0.16/0.40 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.16/0.40 % Maximal formula depth : 9 ( 5 avg)
% 0.16/0.40 % Number of types : 3 ( 1 usr)
% 0.16/0.40 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.16/0.40 % Number of symbols : 9 ( 8 usr; 6 con; 0-2 aty)
% 0.16/0.40 % Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% 0.16/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.40
% 0.16/0.40 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.16/0.40 % Initally the problem has been hand generated in KIF syntax in
% 0.16/0.40 % SigmaKEE and then automatically translated by Benzmueller's
% 0.16/0.40 % KIF2TH0 translator into THF syntax.
% 0.16/0.40 % : The translation has been applied in two modes: local and SInE.
% 0.16/0.40 % The local mode only translates the local assumptions and the
% 0.16/0.40 % query. The SInE mode additionally translates the SInE-extract
% 0.16/0.40 % of the loaded knowledge base (usually SUMO).
% 0.16/0.40 % : The examples are selected to illustrate the benefits of
% 0.16/0.40 % higher-order reasoning in ontology reasoning.
% 0.16/0.40 %------------------------------------------------------------------------------
% 0.16/0.40 %----The extracted signature
% 0.16/0.40 thf(numbers,type,
% 0.16/0.40 num: $tType ).
% 0.16/0.40
% 0.16/0.40 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.16/0.40 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.16/0.40
% 0.16/0.40 thf(lBen_THFTYPE_i,type,
% 0.16/0.40 lBen_THFTYPE_i: $i ).
% 0.16/0.40
% 0.16/0.40 thf(lBill_THFTYPE_i,type,
% 0.16/0.40 lBill_THFTYPE_i: $i ).
% 0.16/0.40
% 0.16/0.40 thf(lMary_THFTYPE_i,type,
% 0.16/0.40 lMary_THFTYPE_i: $i ).
% 0.16/0.40
% 0.16/0.40 thf(lSue_THFTYPE_i,type,
% 0.16/0.40 lSue_THFTYPE_i: $i ).
% 0.16/0.40
% 0.16/0.40 thf(lYearFn_THFTYPE_IiiI,type,
% 0.16/0.40 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.16/0.40
% 0.16/0.40 thf(likes_THFTYPE_IiioI,type,
% 0.16/0.40 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.16/0.40
% 0.16/0.40 thf(n2009_THFTYPE_i,type,
% 0.16/0.40 n2009_THFTYPE_i: $i ).
% 0.16/0.40
% 0.16/0.40 %----The translated axioms
% 0.16/0.40 thf(ax,axiom,
% 0.16/0.40 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.16/0.40
% 0.16/0.40 thf(ax_001,axiom,
% 0.16/0.40 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.16/0.40
% 0.16/0.40 thf(ax_002,axiom,
% 0.16/0.40 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ).
% 0.16/0.40
% 0.16/0.40 %----The translated conjecture
% 0.16/0.40 thf(con,conjecture,
% 0.16/0.40 ? [P: $i > $i > $o,X: $i,Y: $i] :
% 0.16/0.40 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.16/0.40 @ ( ( P @ lSue_THFTYPE_i @ X )
% 0.16/0.40 & ( (~) @ ( P @ lSue_THFTYPE_i @ Y ) ) ) ) ).
% 0.16/0.40
% 0.16/0.40 %------------------------------------------------------------------------------
% 0.16/0.40 ------------------------
% 1.54/1.38 ---- Embedded in THF ---
% 1.54/1.38 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.54/1.38 %%% Generated on Tue Feb 24 05:50:07 EST 2026
% 1.54/1.38 %%% using '$$dhol' embedding, version 1.3.0.
% 1.54/1.38 %%% Logic specification used:
% 1.54/1.38 %%% thf(spec, logic, $$dhol).
% 1.54/1.38
% 1.54/1.38 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.6B5Q9RnnXT/DTF2DTF29604.p
% 1.54/1.38 thf(numbers, type, num: $tType).
% 1.54/1.38 thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 1.54/1.38 thf(lBen_THFTYPE_i, type, lBen_THFTYPE_i: $i).
% 1.54/1.38 thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 1.54/1.38 thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 1.54/1.38 thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 1.54/1.38 thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.54/1.38 thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.54/1.38 thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 1.54/1.38 thf(ax, axiom, ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i)).
% 1.54/1.38 thf(ax_001, axiom, ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i)).
% 1.54/1.38 thf(ax_002, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((~) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBen_THFTYPE_i)))).
% 1.54/1.38 thf(con, conjecture, (? [P:($i > ($i > $o)),X:$i,Y:$i]: (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ (((P @ lSue_THFTYPE_i) @ X) & ((~) @ ((P @ lSue_THFTYPE_i) @ Y))))))).
% 1.54/1.38 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.6B5Q9RnnXT/DTF2DTF29604.p
% 1.54/1.38 ------------------------
% 1.54/1.39 ---- Cleaned THF ---
% 1.54/1.39 thf(numbers,type,
% 1.54/1.39 num: $tType ).
% 1.54/1.39
% 1.54/1.39 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.54/1.39 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.54/1.39
% 1.54/1.39 thf(lBen_THFTYPE_i,type,
% 1.54/1.39 lBen_THFTYPE_i: $i ).
% 1.54/1.39
% 1.54/1.39 thf(lBill_THFTYPE_i,type,
% 1.54/1.39 lBill_THFTYPE_i: $i ).
% 1.54/1.39
% 1.54/1.39 thf(lMary_THFTYPE_i,type,
% 1.54/1.39 lMary_THFTYPE_i: $i ).
% 1.54/1.39
% 1.54/1.39 thf(lSue_THFTYPE_i,type,
% 1.54/1.39 lSue_THFTYPE_i: $i ).
% 1.54/1.39
% 1.54/1.39 thf(lYearFn_THFTYPE_IiiI,type,
% 1.54/1.39 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.54/1.39
% 1.54/1.39 thf(likes_THFTYPE_IiioI,type,
% 1.54/1.39 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.54/1.39
% 1.54/1.39 thf(n2009_THFTYPE_i,type,
% 1.54/1.39 n2009_THFTYPE_i: $i ).
% 1.54/1.39
% 1.54/1.39 thf(ax,axiom,
% 1.54/1.39 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.54/1.39
% 1.54/1.39 thf(ax_001,axiom,
% 1.54/1.39 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.54/1.39
% 1.54/1.39 thf(ax_002,axiom,
% 1.54/1.39 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ).
% 1.54/1.39
% 1.54/1.39 thf(con,conjecture,
% 1.54/1.39 ? [P: $i > $i > $o,X: $i,Y: $i] :
% 1.54/1.39 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.54/1.39 @ ( ( P @ lSue_THFTYPE_i @ X )
% 1.54/1.39 & ( (~) @ ( P @ lSue_THFTYPE_i @ Y ) ) ) ) ).
% 1.54/1.39 ------------------------
% 1.73/1.41 % (29706)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_29604 for (2999ds/2Mi)
% 1.73/1.41 % (29704)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_29604 for (2999ds/27Mi)
% 1.73/1.41 % (29708)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29604 for (2999ds/18Mi)
% 1.73/1.41 % (29702)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29604 for (2999ds/183Mi)
% 1.73/1.42 % (29705)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29604 for (2999ds/2Mi)
% 1.73/1.42 % (29707)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_29604 for (2999ds/275Mi)
% 1.73/1.42 % (29706)Instruction limit reached!
% 1.73/1.42 % (29706)------------------------------
% 1.73/1.42 % (29706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (29706)Termination reason: Unknown
% 1.73/1.42 % (29706)Termination phase: Saturation
% 1.73/1.42
% 1.73/1.42 % (29706)Memory used [KB]: 895
% 1.73/1.42 % (29706)Time elapsed: 0.003 s
% 1.73/1.42 % (29706)Instructions burned: 2 (million)
% 1.73/1.42 % (29706)------------------------------
% 1.73/1.42 % (29706)------------------------------
% 1.73/1.42 % (29703)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_29604 for (2999ds/4Mi)
% 1.73/1.42 % (29707)Refutation not found, incomplete strategy
% 1.73/1.42 % (29707)------------------------------
% 1.73/1.42 % (29707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (29707)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.42
% 1.73/1.42
% 1.73/1.42 % (29707)Memory used [KB]: 5373
% 1.73/1.42 % (29707)Time elapsed: 0.002 s
% 1.73/1.42 % (29707)Instructions burned: 1 (million)
% 1.73/1.42 % (29707)------------------------------
% 1.73/1.42 % (29707)------------------------------
% 1.73/1.42 % (29705)Instruction limit reached!
% 1.73/1.42 % (29705)------------------------------
% 1.73/1.42 % (29705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (29705)Termination reason: Unknown
% 1.73/1.42 % (29705)Termination phase: Saturation
% 1.73/1.42
% 1.73/1.42 % (29705)Memory used [KB]: 5500
% 1.73/1.42 % (29705)Time elapsed: 0.003 s
% 1.73/1.42 % (29705)Instructions burned: 3 (million)
% 1.73/1.42 % (29705)------------------------------
% 1.73/1.42 % (29705)------------------------------
% 1.73/1.42 % (29704)First to succeed.
% 1.73/1.42 % (29703)Instruction limit reached!
% 1.73/1.42 % (29703)------------------------------
% 1.73/1.42 % (29703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (29703)Termination reason: Unknown
% 1.73/1.42 % (29703)Termination phase: Saturation
% 1.73/1.42
% 1.73/1.42 % (29703)Memory used [KB]: 5500
% 1.73/1.42 % (29703)Time elapsed: 0.004 s
% 1.73/1.42 % (29703)Instructions burned: 4 (million)
% 1.73/1.42 % (29703)------------------------------
% 1.73/1.42 % (29703)------------------------------
% 1.73/1.42 % (29704)Refutation found. Thanks to Tanya!
% 1.73/1.42 % SZS status Theorem for DTF2THF_29604
% 1.73/1.42 % SZS output start Proof for DTF2THF_29604
% 1.73/1.42 thf(func_def_0, type, num: $tType).
% 1.73/1.42 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.73/1.42 thf(func_def_6, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.73/1.42 thf(func_def_7, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.73/1.42 thf(func_def_11, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.73/1.42 thf(func_def_16, type, ph1: !>[X0: $tType]:(X0)).
% 1.73/1.42 thf(f28,plain,(
% 1.73/1.42 $false),
% 1.73/1.42 inference(trivial_inequality_removal,[status(thm)],[f27])).
% 1.73/1.42 thf(f27,plain,(
% 1.73/1.42 ($true != $true)),
% 1.73/1.42 inference(superposition,[status(thm)],[f23,f17])).
% 1.73/1.42 thf(f17,plain,(
% 1.73/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 1.73/1.42 inference(cnf_transformation,[status(thm)],[f12])).
% 1.73/1.42 thf(f12,plain,(
% 1.73/1.42 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 1.73/1.42 inference(fool_elimination,[status(thm)],[f11])).
% 1.73/1.42 thf(f11,plain,(
% 1.73/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))),
% 1.73/1.42 inference(rectify,[status(thm)],[f3])).
% 1.73/1.42 thf(f3,axiom,(
% 1.73/1.42 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i)))),
% 1.73/1.42 file('/export/starexec/sandbox/tmp/tmp.6B5Q9RnnXT/DTF2THF_29604.p',ax_002)).
% 1.73/1.42 thf(f23,plain,(
% 1.73/1.42 ( ! [X0 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))) )),
% 1.73/1.42 inference(boolean_simplification,[status(thm)],[f21])).
% 1.73/1.42 thf(f21,plain,(
% 1.73/1.42 ( ! [X0 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) & $true)))) )),
% 1.73/1.42 inference(superposition,[status(thm)],[f18,f19])).
% 1.73/1.42 thf(f19,plain,(
% 1.73/1.42 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.73/1.42 inference(cnf_transformation,[status(thm)],[f8])).
% 1.73/1.42 thf(f8,plain,(
% 1.73/1.42 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.73/1.42 inference(fool_elimination,[status(thm)],[f7])).
% 1.73/1.42 thf(f7,plain,(
% 1.73/1.42 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 1.73/1.42 inference(rectify,[status(thm)],[f1])).
% 1.73/1.42 thf(f1,axiom,(
% 1.73/1.42 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 1.73/1.42 file('/export/starexec/sandbox/tmp/tmp.6B5Q9RnnXT/DTF2THF_29604.p',ax)).
% 1.73/1.42 thf(f18,plain,(
% 1.73/1.42 ( ! [X2 : $i,X0 : $i,X1 : $i > $i > $o] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((~ (X1 @ lSue_THFTYPE_i @ X0)) & (X1 @ lSue_THFTYPE_i @ X2))))) )),
% 1.73/1.42 inference(cnf_transformation,[status(thm)],[f16])).
% 1.73/1.42 thf(f16,plain,(
% 1.73/1.42 ! [X0 : $i,X1 : $i > $i > $o,X2 : $i] : ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((~ (X1 @ lSue_THFTYPE_i @ X0)) & (X1 @ lSue_THFTYPE_i @ X2))))),
% 1.73/1.42 inference(rectify,[status(thm)],[f15])).
% 1.73/1.42 thf(f15,plain,(
% 1.73/1.42 ! [X1 : $i,X0 : $i > $i > $o,X2 : $i] : ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((~ (X0 @ lSue_THFTYPE_i @ X1)) & (X0 @ lSue_THFTYPE_i @ X2))))),
% 1.73/1.42 inference(ennf_transformation,[status(thm)],[f10])).
% 1.73/1.42 thf(f10,plain,(
% 1.73/1.42 ~? [X1 : $i,X0 : $i > $i > $o,X2 : $i] : ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((~ (X0 @ lSue_THFTYPE_i @ X1)) & (X0 @ lSue_THFTYPE_i @ X2))))),
% 1.73/1.42 inference(fool_elimination,[status(thm)],[f9])).
% 1.73/1.42 thf(f9,plain,(
% 1.73/1.42 ~? [X0 : $i > $i > $o,X1 : $i,X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ X2) & (~ (X0 @ lSue_THFTYPE_i @ X1)))),
% 1.73/1.42 inference(rectify,[status(thm)],[f5])).
% 1.73/1.42 thf(f5,negated_conjecture,(
% 1.73/1.42 ~? [X0 : $i > $i > $o,X2 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ X1) & (~ (X0 @ lSue_THFTYPE_i @ X2)))),
% 1.73/1.42 inference(negated_conjecture,[status(cth)],[f4])).
% 1.73/1.42 thf(f4,conjecture,(
% 1.73/1.42 ? [X0 : $i > $i > $o,X2 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ X1) & (~ (X0 @ lSue_THFTYPE_i @ X2)))),
% 1.73/1.42 file('/export/starexec/sandbox/tmp/tmp.6B5Q9RnnXT/DTF2THF_29604.p',con)).
% 1.73/1.42 % SZS output end Proof for DTF2THF_29604
% 1.73/1.42 % (29704)------------------------------
% 1.73/1.42 % (29704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (29704)Termination reason: Refutation
% 1.73/1.42
% 1.73/1.42 % (29704)Memory used [KB]: 5500
% 1.73/1.42 % (29704)Time elapsed: 0.005 s
% 1.73/1.42 % (29704)Instructions burned: 3 (million)
% 1.73/1.42 % (29704)------------------------------
% 1.73/1.42 % (29704)------------------------------
% 1.73/1.42 % (29701)Success in time 0.019 s
%------------------------------------------------------------------------------