%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR126^1 : 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 : n004.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 08:43:03 AM UTC 2026
% Result : Theorem 1.59s 1.30s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : CSR126^1 : 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
% 0.10/0.29 % Computer : n004.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Feb 24 05:46:41 EST 2026
% 0.10/0.29 % CPUTime :
% 0.10/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.38 ---- Original DTF file ---
% 0.19/0.38 thf(spec,logic,$$dhol).
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 % File : CSR126^1 : TPTP v9.2.1. Released v4.1.0.
% 0.19/0.38 % Domain : Commonsense Reasoning
% 0.19/0.38 % Problem : Did Sue like Bill in 2009?
% 0.19/0.38 % Version : Especial.
% 0.19/0.38 % English : Mary likes Bill during all times. During 2009, Sue liked
% 0.19/0.38 % everybody who was liked by Mary. Is it the case that during 2009
% 0.19/0.38 % Sue liked Bill.
% 0.19/0.38
% 0.19/0.38 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.19/0.38 % Source : [Ben10]
% 0.19/0.38 % Names : ef_8.tq_SUMO_local [Ben10]
% 0.19/0.38
% 0.19/0.38 % Status : Theorem
% 0.19/0.38 % Rating : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 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 v6.2.0, 0.00 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 v4.1.0
% 0.19/0.38 % Syntax : Number of formulae : 11 ( 0 unt; 8 typ; 0 def)
% 0.19/0.38 % Number of atoms : 7 ( 0 equ; 0 cnn)
% 0.19/0.38 % Maximal formula atoms : 3 ( 2 avg)
% 0.19/0.38 % Number of connectives : 17 ( 0 ~; 0 |; 0 &; 16 @)
% 0.19/0.38 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.38 % Maximal formula depth : 6 ( 5 avg)
% 0.19/0.38 % Number of types : 3 ( 1 usr)
% 0.19/0.38 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.19/0.38 % Number of symbols : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.19/0.38 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.19/0.38 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.38
% 0.19/0.38 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.19/0.38 % Initally the problem has been hand generated in KIF syntax in
% 0.19/0.38 % SigmaKEE and then automatically translated by Benzmueller's
% 0.19/0.38 % KIF2TH0 translator into THF syntax.
% 0.19/0.38 % : The translation has been applied in two modes: local and SInE.
% 0.19/0.38 % The local mode only translates the local assumptions and the
% 0.19/0.38 % query. The SInE mode additionally translates the SInE-extract
% 0.19/0.38 % of the loaded knowledge base (usually SUMO).
% 0.19/0.38 % : The examples are selected to illustrate the benefits of
% 0.19/0.38 % higher-order reasoning in ontology reasoning.
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 %----The extracted signature
% 0.19/0.38 thf(numbers,type,
% 0.19/0.38 num: $tType ).
% 0.19/0.38
% 0.19/0.38 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.19/0.38 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.19/0.38
% 0.19/0.38 thf(lBill_THFTYPE_i,type,
% 0.19/0.38 lBill_THFTYPE_i: $i ).
% 0.19/0.38
% 0.19/0.38 thf(lMary_THFTYPE_i,type,
% 0.19/0.38 lMary_THFTYPE_i: $i ).
% 0.19/0.38
% 0.19/0.38 thf(lSue_THFTYPE_i,type,
% 0.19/0.38 lSue_THFTYPE_i: $i ).
% 0.19/0.38
% 0.19/0.38 thf(lYearFn_THFTYPE_IiiI,type,
% 0.19/0.38 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.19/0.38
% 0.19/0.38 thf(likes_THFTYPE_IiioI,type,
% 0.19/0.38 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.19/0.38
% 0.19/0.38 thf(n2009_THFTYPE_i,type,
% 0.19/0.38 n2009_THFTYPE_i: $i ).
% 0.19/0.38
% 0.19/0.38 %----The translated axioms
% 0.19/0.38 thf(ax,axiom,
% 0.19/0.38 ! [T: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ).
% 0.19/0.38
% 0.19/0.38 thf(ax_001,axiom,
% 0.19/0.38 ! [X: $i] :
% 0.19/0.38 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.19/0.38 @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
% 0.19/0.38 => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) ).
% 0.19/0.38
% 0.19/0.38 %----The translated conjecture
% 0.19/0.38 thf(con,conjecture,
% 0.19/0.38 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.19/0.38
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 ------------------------
% 1.41/1.27 ---- Embedded in THF ---
% 1.41/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.41/1.27 %%% Generated on Tue Feb 24 05:46:42 EST 2026
% 1.41/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.41/1.27 %%% Logic specification used:
% 1.41/1.27 %%% thf(spec, logic, $$dhol).
% 1.41/1.27
% 1.41/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.CvOhvLQeQk/DTF2DTF27750.p
% 1.41/1.27 thf(numbers, type, num: $tType).
% 1.41/1.27 thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 1.41/1.27 thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 1.41/1.27 thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 1.41/1.27 thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 1.41/1.27 thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.41/1.27 thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.41/1.27 thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 1.41/1.27 thf(ax, axiom, (! [T:$i]: (((holdsDuring_THFTYPE_IiooI @ T) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i))))).
% 1.41/1.27 thf(ax_001, axiom, (! [X:$i]: (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ X) => ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ X)))))).
% 1.41/1.27 thf(con, conjecture, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.41/1.27 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.CvOhvLQeQk/DTF2DTF27750.p
% 1.41/1.27 ------------------------
% 1.41/1.28 ---- Cleaned THF ---
% 1.41/1.28 thf(numbers,type,
% 1.41/1.28 num: $tType ).
% 1.41/1.28
% 1.41/1.28 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.41/1.28 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.41/1.28
% 1.41/1.28 thf(lBill_THFTYPE_i,type,
% 1.41/1.28 lBill_THFTYPE_i: $i ).
% 1.41/1.28
% 1.41/1.28 thf(lMary_THFTYPE_i,type,
% 1.41/1.28 lMary_THFTYPE_i: $i ).
% 1.41/1.28
% 1.41/1.28 thf(lSue_THFTYPE_i,type,
% 1.41/1.28 lSue_THFTYPE_i: $i ).
% 1.41/1.28
% 1.41/1.28 thf(lYearFn_THFTYPE_IiiI,type,
% 1.41/1.28 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.41/1.28
% 1.41/1.28 thf(likes_THFTYPE_IiioI,type,
% 1.41/1.28 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.41/1.28
% 1.41/1.28 thf(n2009_THFTYPE_i,type,
% 1.41/1.28 n2009_THFTYPE_i: $i ).
% 1.41/1.28
% 1.41/1.28 thf(ax,axiom,
% 1.41/1.28 ! [T: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ).
% 1.41/1.28
% 1.41/1.28 thf(ax_001,axiom,
% 1.41/1.28 ! [X: $i] :
% 1.41/1.28 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.41/1.28 @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
% 1.41/1.28 => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) ).
% 1.41/1.28
% 1.41/1.28 thf(con,conjecture,
% 1.41/1.28 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.41/1.28 ------------------------
% 1.59/1.30 % (27850)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_27750 for (2999ds/2Mi)
% 1.59/1.30 % (27851)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_27750 for (2999ds/2Mi)
% 1.59/1.30 % (27847)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27750 for (2999ds/183Mi)
% 1.59/1.30 % (27849)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_27750 for (2999ds/27Mi)
% 1.59/1.30 % (27852)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_27750 for (2999ds/275Mi)
% 1.59/1.30 % (27853)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_27750 for (2999ds/18Mi)
% 1.59/1.30 % (27848)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_27750 for (2999ds/4Mi)
% 1.59/1.30 % (27852)Refutation not found, incomplete strategy
% 1.59/1.30 % (27852)------------------------------
% 1.59/1.30 % (27852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (27852)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.30
% 1.59/1.30
% 1.59/1.30 % (27852)Memory used [KB]: 5500
% 1.59/1.30 % (27852)Time elapsed: 0.002 s
% 1.59/1.30 % (27850)Instruction limit reached!
% 1.59/1.30 % (27850)------------------------------
% 1.59/1.30 % (27850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (27850)Termination reason: Unknown
% 1.59/1.30 % (27850)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (27850)Memory used [KB]: 5500
% 1.59/1.30 % (27850)Time elapsed: 0.003 s
% 1.59/1.30 % (27850)Instructions burned: 2 (million)
% 1.59/1.30 % (27850)------------------------------
% 1.59/1.30 % (27850)------------------------------
% 1.59/1.30 % (27852)Instructions burned: 1 (million)
% 1.59/1.30 % (27851)Instruction limit reached!
% 1.59/1.30 % (27851)------------------------------
% 1.59/1.30 % (27851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (27851)Termination reason: Unknown
% 1.59/1.30 % (27851)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (27851)Memory used [KB]: 5500
% 1.59/1.30 % (27851)Time elapsed: 0.003 s
% 1.59/1.30 % (27851)Instructions burned: 2 (million)
% 1.59/1.30 % (27851)------------------------------
% 1.59/1.30 % (27851)------------------------------
% 1.59/1.30 % (27852)------------------------------
% 1.59/1.30 % (27852)------------------------------
% 1.59/1.30 % (27849)Refutation not found, incomplete strategy
% 1.59/1.30 % (27849)------------------------------
% 1.59/1.30 % (27849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (27849)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.30
% 1.59/1.30
% 1.59/1.30 % (27849)Memory used [KB]: 5500
% 1.59/1.30 % (27849)Time elapsed: 0.004 s
% 1.59/1.30 % (27849)Instructions burned: 1 (million)
% 1.59/1.30 % (27849)------------------------------
% 1.59/1.30 % (27849)------------------------------
% 1.59/1.30 % (27848)Instruction limit reached!
% 1.59/1.30 % (27848)------------------------------
% 1.59/1.30 % (27848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (27848)Termination reason: Unknown
% 1.59/1.30 % (27848)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (27848)Memory used [KB]: 5500
% 1.59/1.30 % (27848)Time elapsed: 0.004 s
% 1.59/1.30 % (27848)Instructions burned: 4 (million)
% 1.59/1.30 % (27848)------------------------------
% 1.59/1.30 % (27848)------------------------------
% 1.59/1.30 % (27847)First to succeed.
% 1.59/1.30 % (27853)Also succeeded, but the first one will report.
% 1.59/1.30 % (27847)Refutation found. Thanks to Tanya!
% 1.59/1.30 % SZS status Theorem for DTF2THF_27750
% 1.59/1.30 % SZS output start Proof for DTF2THF_27750
% 1.59/1.30 thf(func_def_0, type, num: $tType).
% 1.59/1.30 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.59/1.30 thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.59/1.30 thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.59/1.30 thf(func_def_13, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/1.30 thf(f90,plain,(
% 1.59/1.30 $false),
% 1.59/1.30 inference(avatar_sat_refutation,[status(thm)],[f31,f42,f75,f89])).
% 1.59/1.30 thf(f89,plain,(
% 1.59/1.30 ~spl0_2),
% 1.59/1.30 inference(avatar_contradiction_clause,[status(thm)],[f88])).
% 1.59/1.30 thf(f88,plain,(
% 1.59/1.30 $false | ~spl0_2),
% 1.59/1.30 inference(subsumption_resolution,[status(thm)],[f87,f85])).
% 1.59/1.30 thf(f85,plain,(
% 1.59/1.30 ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | ~spl0_2),
% 1.59/1.30 inference(superposition,[status(thm)],[f13,f27])).
% 1.59/1.30 thf(f27,plain,(
% 1.59/1.30 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true) | ~spl0_2),
% 1.59/1.30 inference(avatar_component_clause,[status(thm)],[f25])).
% 1.59/1.30 thf(f25,definition,(
% 1.59/1.30 spl0_2 <=> ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.59/1.30 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.59/1.30 thf(f13,plain,(
% 1.59/1.30 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) != $true)),
% 1.59/1.30 inference(cnf_transformation,[status(thm)],[f12])).
% 1.59/1.30 thf(f12,plain,(
% 1.59/1.30 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) != $true)),
% 1.59/1.30 inference(flattening,[status(thm)],[f11])).
% 1.59/1.30 thf(f11,plain,(
% 1.59/1.30 ~((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.59/1.30 inference(fool_elimination,[status(thm)],[f10])).
% 1.59/1.30 thf(f10,plain,(
% 1.59/1.30 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.30 inference(rectify,[status(thm)],[f4])).
% 1.59/1.30 thf(f4,negated_conjecture,(
% 1.59/1.30 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.30 inference(negated_conjecture,[status(cth)],[f3])).
% 1.59/1.30 thf(f3,conjecture,(
% 1.59/1.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.30 file('/export/starexec/sandbox/tmp/tmp.CvOhvLQeQk/DTF2THF_27750.p',con)).
% 1.59/1.30 thf(f87,plain,(
% 1.59/1.30 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) | ~spl0_2),
% 1.59/1.30 inference(boolean_simplification,[status(thm)],[f86])).
% 1.59/1.30 thf(f86,plain,(
% 1.59/1.30 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) => $true))) | ~spl0_2),
% 1.59/1.30 inference(superposition,[status(thm)],[f15,f27])).
% 1.59/1.30 thf(f15,plain,(
% 1.59/1.30 ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) = $true)) )),
% 1.59/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.59/1.30 thf(f9,plain,(
% 1.59/1.30 ! [X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) = $true)),
% 1.59/1.30 inference(fool_elimination,[status(thm)],[f8])).
% 1.59/1.30 thf(f8,plain,(
% 1.59/1.30 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 1.59/1.30 inference(rectify,[status(thm)],[f2])).
% 1.59/1.30 thf(f2,axiom,(
% 1.59/1.30 ! [X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 1.59/1.30 file('/export/starexec/sandbox/tmp/tmp.CvOhvLQeQk/DTF2THF_27750.p',ax_001)).
% 1.59/1.30 thf(f75,plain,(
% 1.59/1.30 ~spl0_1),
% 1.59/1.30 inference(avatar_contradiction_clause,[status(thm)],[f74])).
% 1.59/1.30 thf(f74,plain,(
% 1.59/1.30 $false | ~spl0_1),
% 1.59/1.30 inference(subsumption_resolution,[status(thm)],[f73,f13])).
% 1.59/1.30 thf(f73,plain,(
% 1.59/1.30 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | ~spl0_1),
% 1.59/1.30 inference(boolean_simplification,[status(thm)],[f61])).
% 1.59/1.30 thf(f61,plain,(
% 1.59/1.30 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) | ~spl0_1),
% 1.59/1.30 inference(superposition,[status(thm)],[f15,f23])).
% 1.59/1.30 thf(f23,plain,(
% 1.59/1.30 ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true) | ~spl0_1),
% 1.59/1.30 inference(avatar_component_clause,[status(thm)],[f21])).
% 1.59/1.30 thf(f21,definition,(
% 1.59/1.30 spl0_1 <=> ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.59/1.30 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.59/1.30 thf(f42,plain,(
% 1.59/1.30 ~spl0_3),
% 1.59/1.30 inference(avatar_contradiction_clause,[status(thm)],[f41])).
% 1.59/1.30 thf(f41,plain,(
% 1.59/1.30 $false | ~spl0_3),
% 1.59/1.30 inference(equality_resolution,[status(thm)],[f30])).
% 1.59/1.30 thf(f30,plain,(
% 1.59/1.30 ( ! [X0 : $i] : (((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)) ) | ~spl0_3),
% 1.59/1.30 inference(avatar_component_clause,[status(thm)],[f29])).
% 1.59/1.30 thf(f29,definition,(
% 1.59/1.30 spl0_3 <=> ! [X0 : $i] : ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)),
% 1.59/1.30 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.59/1.30 thf(f31,plain,(
% 1.59/1.30 spl0_1 | spl0_2 | spl0_3),
% 1.59/1.30 inference(avatar_split_clause,[status(thm)],[f18,f29,f25,f21])).
% 1.59/1.30 thf(f18,plain,(
% 1.59/1.30 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true) | ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true) | ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)) )),
% 1.59/1.30 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.59/1.30 thf(f17,plain,(
% 1.59/1.30 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)) )),
% 1.59/1.30 inference(trivial_inequality_removal,[status(thm)],[f16])).
% 1.59/1.30 thf(f16,plain,(
% 1.59/1.30 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0) | ($true != $true)) )),
% 1.59/1.30 inference(constrained_superposition,[status(thm)],[f13,f14])).
% 1.59/1.30 thf(f14,plain,(
% 1.59/1.30 ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)) )),
% 1.59/1.30 inference(cnf_transformation,[status(thm)],[f7])).
% 1.59/1.30 thf(f7,plain,(
% 1.59/1.30 ! [X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.59/1.30 inference(fool_elimination,[status(thm)],[f6])).
% 1.59/1.30 thf(f6,plain,(
% 1.59/1.30 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.30 inference(rectify,[status(thm)],[f1])).
% 1.59/1.30 thf(f1,axiom,(
% 1.59/1.30 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.30 file('/export/starexec/sandbox/tmp/tmp.CvOhvLQeQk/DTF2THF_27750.p',ax)).
% 1.59/1.30 % SZS output end Proof for DTF2THF_27750
% 1.59/1.30 % (27847)------------------------------
% 1.59/1.30 % (27847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (27847)Termination reason: Refutation
% 1.59/1.30
% 1.59/1.30 % (27847)Memory used [KB]: 5500
% 1.59/1.30 % (27847)Time elapsed: 0.007 s
% 1.59/1.30 % (27847)Instructions burned: 6 (million)
% 1.59/1.30 % (27847)------------------------------
% 1.59/1.30 % (27847)------------------------------
% 1.59/1.30 % (27846)Success in time 0.014 s
%------------------------------------------------------------------------------