%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYN987^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 09:51:39 AM UTC 2026
% Result : Unsatisfiable 1.47s 1.29s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 12 ( 5 fml; 7 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 7 ( 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f9,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f8,f7]) ).
tff(f7,plain,
! [X0: $o,X1: $o] : ( (X0) = (X1) ),
inference(superposition,[status(thm)],[f6,f6]) ).
tff(f6,plain,
! [X0: $o] : ( $true = (X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
tff(f5,plain,
! [X0: $o] : ( $true = (X0) ),
inference(fool_elimination,[status(thm)],[f4]) ).
tff(f4,plain,
! [X0: $o] : (X0),
inference(rectify,[status(thm)],[f1]) ).
tff(f1,axiom,
! [X0: $o] : (X0),
file('/export/starexec/sandbox2/tmp/tmp.z43BUHgqOg/DTF2THF_2660.p',thm) ).
tff(f8,plain,
! [X0: $o] : ( $false != (X0) ),
inference(superposition,[status(thm)],[f2,f6]) ).
tff(f2,plain,
$false != $true,
introduced(definition,[],[fool_axiom]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN987^2 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 14:20:45 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.27/0.46 ---- Original DTF file ---
% 0.27/0.46 thf(spec,logic,$$dhol).
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 % File : SYN987^2 : TPTP v9.2.1. Released v3.7.0.
% 0.27/0.46 % Domain : Syntactic
% 0.27/0.46 % Problem : All things are true
% 0.27/0.46 % Version : Especial.
% 0.27/0.46 % English :
% 0.27/0.46
% 0.27/0.46 % Refs : [Kos97] Kossey (1997), A Note on the Completeness of Higher Or
% 0.27/0.46 % : [Kos08] Kossey (2008), Email to Geoff Sutcliffe
% 0.27/0.46 % Source : [Kos08]
% 0.27/0.46 % Names :
% 0.27/0.46
% 0.27/0.46 % Status : Unsatisfiable
% 0.27/0.46 % Rating : 0.00 v3.7.0
% 0.27/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.27/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.27/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.27/0.46 % Number of connectives : 0 ( 0 ~; 0 |; 0 &; 0 @)
% 0.27/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.27/0.46 % Maximal formula depth : 2 ( 2 avg)
% 0.27/0.46 % Number of types : 1 ( 0 usr)
% 0.27/0.46 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.27/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.27/0.46 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.27/0.46 % SPC : TH0_UNS_NEQ_NAR
% 0.27/0.46
% 0.27/0.46 % Comments :
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 thf(thm,axiom,
% 0.27/0.46 ! [X: $o] : X ).
% 0.27/0.46
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 ------------------------
% 1.47/1.25 ---- Embedded in THF ---
% 1.47/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.25 %%% Generated on Tue Feb 24 14:20:46 EST 2026
% 1.47/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.25 %%% Logic specification used:
% 1.47/1.25 %%% thf(spec, logic, $$dhol).
% 1.47/1.25
% 1.47/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.z43BUHgqOg/DTF2DTF2660.p
% See solution above
% 1.47/1.25 ------------------------
% 1.47/1.26 ---- Cleaned THF ---
% 1.47/1.26 thf(thm,axiom,
% 1.47/1.26 ! [X: $o] : X ).
% 1.47/1.26 ------------------------
% 1.47/1.28 % (2777)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_2660 for (3000ds/27Mi)
% 1.47/1.28 % (2775)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2660 for (3000ds/183Mi)
% 1.47/1.28 % (2776)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_2660 for (3000ds/4Mi)
% 1.47/1.28 % (2778)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2660 for (3000ds/2Mi)
% 1.47/1.28 % (2779)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_2660 for (3000ds/2Mi)
% 1.47/1.28 % (2780)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_2660 for (3000ds/275Mi)
% 1.47/1.28 % (2781)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2660 for (3000ds/18Mi)
% 1.47/1.29 % (2780)Refutation not found, incomplete strategy
% 1.47/1.29 % (2780)------------------------------
% 1.47/1.29 % (2780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (2775)First to succeed.
% 1.47/1.29 % (2780)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.29
% 1.47/1.29
% 1.47/1.29 % (2780)Memory used [KB]: 5373
% 1.47/1.29 % (2780)Time elapsed: 0.003 s
% 1.47/1.29 % (2780)Instructions burned: 1 (million)
% 1.47/1.29 % (2780)------------------------------
% 1.47/1.29 % (2780)------------------------------
% 1.47/1.29 % (2779)Refutation not found, incomplete strategy
% 1.47/1.29 % (2779)------------------------------
% 1.47/1.29 % (2779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (2779)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.29
% 1.47/1.29
% 1.47/1.29 % (2779)Memory used [KB]: 5373
% 1.47/1.29 % (2779)Time elapsed: 0.003 s
% 1.47/1.29 % (2779)Instructions burned: 1 (million)
% 1.47/1.29 % (2779)------------------------------
% 1.47/1.29 % (2779)------------------------------
% 1.47/1.29 % (2778)Also succeeded, but the first one will report.
% 1.47/1.29 % (2781)Also succeeded, but the first one will report.
% 1.47/1.29 % (2775)Refutation found. Thanks to Tanya!
% 1.47/1.29 % SZS status Unsatisfiable for DTF2THF_2660
% 1.47/1.29 % SZS output start Proof for DTF2THF_2660
% 1.47/1.29 tff(f9,plain,(
% 1.47/1.29 $false),
% 1.47/1.29 inference(subsumption_resolution,[status(thm)],[f8,f7])).
% 1.47/1.29 tff(f7,plain,(
% 1.47/1.29 ( ! [X0 : $o,X1 : $o] : ((X0 = X1)) )),
% 1.47/1.29 inference(superposition,[status(thm)],[f6,f6])).
% 1.47/1.29 tff(f6,plain,(
% 1.47/1.29 ( ! [X0 : $o] : (($true = X0)) )),
% 1.47/1.29 inference(cnf_transformation,[status(thm)],[f5])).
% 1.47/1.29 tff(f5,plain,(
% 1.47/1.29 ! [X0 : $o] : ($true = X0)),
% 1.47/1.29 inference(fool_elimination,[status(thm)],[f4])).
% 1.47/1.29 tff(f4,plain,(
% 1.47/1.29 ! [X0 : $o] : X0),
% 1.47/1.29 inference(rectify,[status(thm)],[f1])).
% 1.47/1.29 tff(f1,axiom,(
% 1.47/1.29 ! [X0 : $o] : X0),
% 1.47/1.29 file('/export/starexec/sandbox2/tmp/tmp.z43BUHgqOg/DTF2THF_2660.p',thm)).
% 1.47/1.29 tff(f8,plain,(
% 1.47/1.29 ( ! [X0 : $o] : (($false != X0)) )),
% 1.47/1.29 inference(superposition,[status(thm)],[f2,f6])).
% 1.47/1.29 tff(f2,plain,(
% 1.47/1.29 ($false != $true)),
% 1.47/1.29 introduced(definition,[],[fool_axiom])).
% 1.47/1.29 % SZS output end Proof for DTF2THF_2660
% 1.47/1.29 % (2775)------------------------------
% 1.47/1.29 % (2775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (2775)Termination reason: Refutation
% 1.47/1.29
% 1.47/1.29 % (2775)Memory used [KB]: 5373
% 1.47/1.29 % (2775)Time elapsed: 0.004 s
% 1.47/1.29 % (2775)Instructions burned: 1 (million)
% 1.47/1.29 % (2775)------------------------------
% 1.47/1.29 % (2775)------------------------------
% 1.47/1.29 % (2774)Success in time 0.008 s
%------------------------------------------------------------------------------