%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO311^5 : TPTP v9.2.1. Released v4.0.0.
% 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 09:53:55 AM UTC 2026
% Result : Theorem 1.45s 1.17s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO311^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 14:27:45 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.44 ---- Original DTF file ---
% 0.19/0.44 thf(spec,logic,$$dhol).
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 % File : SYO311^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.44 % Domain : Syntactic
% 0.19/0.44 % Problem : TPS problem from BASIC-HO-THMS
% 0.19/0.44 % Version : Especial.
% 0.19/0.44 % English :
% 0.19/0.44
% 0.19/0.44 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.44 % Source : [Bro09]
% 0.19/0.44 % Names : tps_0845 [Bro09]
% 0.19/0.44
% 0.19/0.44 % Status : Theorem
% 0.19/0.44 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.30 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.50 v6.1.0, 0.33 v6.0.0, 0.17 v5.5.0, 0.00 v5.4.0, 0.25 v5.3.0, 0.50 v5.1.0, 0.75 v4.1.0, 1.00 v4.0.0
% 0.19/0.44 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.19/0.44 % Number of atoms : 11 ( 0 equ; 0 cnn)
% 0.19/0.44 % Maximal formula atoms : 11 ( 11 avg)
% 0.19/0.44 % Number of connectives : 19 ( 3 ~; 0 |; 4 &; 10 @)
% 0.19/0.44 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.44 % Maximal formula depth : 9 ( 9 avg)
% 0.19/0.44 % Number of types : 1 ( 0 usr)
% 0.19/0.44 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.19/0.44 % Number of symbols : 2 ( 0 usr; 2 con; 0-0 aty)
% 0.19/0.44 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.19/0.44 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.44
% 0.19/0.44 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.44 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.44 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.44 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 thf(cOMEGA_EXAMPLE2,conjecture,
% 0.19/0.44 ( ? [Xop: $o > $o > $o] :
% 0.19/0.44 ( ( Xop @ $true @ $true )
% 0.19/0.44 & ~ ( Xop @ $false @ $false )
% 0.19/0.44 & ~ ( Xop @ $false @ $true )
% 0.19/0.44 & ~ ( Xop @ $true @ $false ) )
% 0.19/0.44 & ! [Xm: $o > $o] :
% 0.19/0.44 ( ( Xm @ $true )
% 0.19/0.44 <=> ( Xm
% 0.19/0.44 @ ( $true
% 0.19/0.44 => $true ) ) ) ) ).
% 0.19/0.44
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 ------------------------
% 1.45/1.13 ---- Embedded in THF ---
% 1.45/1.13 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.13 %%% Generated on Tue Feb 24 14:27:46 EST 2026
% 1.45/1.13 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.13 %%% Logic specification used:
% 1.45/1.13 %%% thf(spec, logic, $$dhol).
% 1.45/1.13
% 1.45/1.13 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.zs11Dtb5p0/DTF2DTF23849.p
% 1.45/1.13 thf(cOMEGA_EXAMPLE2, conjecture, ((? [Xop:($o > ($o > $o))]: ((((Xop @ $true) @ $true) & ((~ (((Xop @ $false) @ $false))) & ((~ (((Xop @ $false) @ $true))) & (~ (((Xop @ $true) @ $false)))))))) & (! [Xm:($o > $o)]: (((Xm @ $true) <=> (Xm @ ($true => $true))))))).
% 1.45/1.13 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.zs11Dtb5p0/DTF2DTF23849.p
% 1.45/1.13 ------------------------
% 1.45/1.14 ---- Cleaned THF ---
% 1.45/1.14 thf(cOMEGA_EXAMPLE2,conjecture,
% 1.45/1.14 ( ? [Xop: $o > $o > $o] :
% 1.45/1.14 ( ( Xop @ $true @ $true )
% 1.45/1.14 & ~ ( Xop @ $false @ $false )
% 1.45/1.14 & ~ ( Xop @ $false @ $true )
% 1.45/1.14 & ~ ( Xop @ $true @ $false ) )
% 1.45/1.14 & ! [Xm: $o > $o] :
% 1.45/1.14 ( ( Xm @ $true )
% 1.45/1.14 <=> ( Xm
% 1.45/1.14 @ ( $true
% 1.45/1.14 => $true ) ) ) ) ).
% 1.45/1.14 ------------------------
% 1.45/1.16 % (24010)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_23849 for (2999ds/2Mi)
% 1.45/1.16 % (24010)Instruction limit reached!
% 1.45/1.16 % (24010)------------------------------
% 1.45/1.16 % (24010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.16 % (24010)Termination reason: Unknown
% 1.45/1.16 % (24010)Termination phase: Saturation
% 1.45/1.16
% 1.45/1.16 % (24010)Memory used [KB]: 5500
% 1.45/1.16 % (24010)Time elapsed: 0.003 s
% 1.45/1.16 % (24010)Instructions burned: 2 (million)
% 1.45/1.16 % (24010)------------------------------
% 1.45/1.16 % (24010)------------------------------
% 1.45/1.16 % (24009)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_23849 for (2999ds/27Mi)
% 1.45/1.16 % (24009)Refutation not found, incomplete strategy
% 1.45/1.16 % (24009)------------------------------
% 1.45/1.16 % (24009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.16 % (24009)Termination reason: Refutation not found, incomplete strategy
% 1.45/1.16
% 1.45/1.16
% 1.45/1.16 % (24009)Memory used [KB]: 5500
% 1.45/1.16 % (24009)Time elapsed: 0.002 s
% 1.45/1.16 % (24009)Instructions burned: 1 (million)
% 1.45/1.16 % (24009)------------------------------
% 1.45/1.16 % (24009)------------------------------
% 1.45/1.16 % (24012)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_23849 for (2999ds/275Mi)
% 1.45/1.16 % (24007)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_23849 for (2999ds/183Mi)
% 1.45/1.16 % (24012)First to succeed.
% 1.45/1.16 % (24007)Also succeeded, but the first one will report.
% 1.45/1.17 % (24012)Refutation found. Thanks to Tanya!
% 1.45/1.17 % SZS status Theorem for DTF2THF_23849
% 1.45/1.17 % SZS output start Proof for DTF2THF_23849
% 1.45/1.17 thf(func_def_4, type, sK0: $o > $o).
% 1.45/1.17 thf(func_def_6, type, ph2: !>[X0: $tType]:(X0)).
% 1.45/1.17 thf(f57,plain,(
% 1.45/1.17 $false),
% 1.45/1.17 inference(trivial_inequality_removal,[status(thm)],[f56])).
% 1.45/1.17 thf(f56,plain,(
% 1.45/1.17 ($true = $false)),
% 1.45/1.17 inference(boolean_simplification,[status(thm)],[f55])).
% 1.45/1.17 thf(f55,plain,(
% 1.45/1.17 (($false & $false) = $true)),
% 1.45/1.17 inference(trivial_inequality_removal,[status(thm)],[f54])).
% 1.45/1.17 thf(f54,plain,(
% 1.45/1.17 ($true != $true) | (($false & $false) = $true)),
% 1.45/1.17 inference(boolean_simplification,[status(thm)],[f53])).
% 1.45/1.17 thf(f53,plain,(
% 1.45/1.17 ($true != ($true & $true)) | (($false & $false) = $true)),
% 1.45/1.17 inference(trivial_inequality_removal,[status(thm)],[f52])).
% 1.45/1.17 thf(f52,plain,(
% 1.45/1.17 ($true != ($true & $true)) | (($false & $false) = $true) | ($true = $false)),
% 1.45/1.17 inference(boolean_simplification,[status(thm)],[f51])).
% 1.45/1.17 thf(f51,plain,(
% 1.45/1.17 ($true = ($false & $true)) | (($false & $false) = $true) | ($true != ($true & $true))),
% 1.45/1.17 inference(trivial_inequality_removal,[status(thm)],[f50])).
% 1.45/1.17 thf(f50,plain,(
% 1.45/1.17 ($true != ($true & $true)) | ($true = ($false & $true)) | ($true = $false) | (($false & $false) = $true)),
% 1.45/1.17 inference(boolean_simplification,[status(thm)],[f49])).
% 1.45/1.17 thf(f49,plain,(
% 1.45/1.17 ($true = ($true & $false)) | (($false & $false) = $true) | ($true != ($true & $true)) | ($true = ($false & $true))),
% 1.45/1.17 inference(beta_eta_normalization,[status(thm)],[f19])).
% 1.45/1.17 thf(f19,plain,(
% 1.45/1.17 (((^[Y0 : $o]: ((^[Y1 : $o]: (Y1 & Y0)))) @ $false @ $false) = $true) | ($true = ((^[Y0 : $o]: ((^[Y1 : $o]: (Y1 & Y0)))) @ $false @ $true)) | (((^[Y0 : $o]: ((^[Y1 : $o]: (Y1 & Y0)))) @ $true @ $false) = $true) | (((^[Y0 : $o]: ((^[Y1 : $o]: (Y1 & Y0)))) @ $true @ $true) != $true)),
% 1.45/1.17 inference(primitive_instantiation,[status(thm)],[f13])).
% 1.45/1.17 thf(f13,plain,(
% 1.45/1.17 ( ! [X0 : $o > $o > $o] : (($true = (X0 @ $false @ $true)) | ((X0 @ $true @ $true) != $true) | ((X0 @ $true @ $false) = $true) | ((X0 @ $false @ $false) = $true)) )),
% 1.45/1.17 inference(trivial_inequality_removal,[status(thm)],[f12])).
% 1.45/1.17 thf(f12,plain,(
% 1.45/1.17 ( ! [X0 : $o > $o > $o] : (((X0 @ $true @ $false) = $true) | ((X0 @ $false @ $false) = $true) | ((X0 @ $true @ $true) != $true) | ((sK0 @ $true) != (sK0 @ $true)) | ($true = (X0 @ $false @ $true))) )),
% 1.45/1.17 inference(boolean_simplification,[status(thm)],[f11])).
% 1.45/1.17 thf(f11,plain,(
% 1.45/1.17 ( ! [X0 : $o > $o > $o] : (((X0 @ $true @ $true) != $true) | ((X0 @ $false @ $false) = $true) | ($true = (X0 @ $false @ $true)) | ((sK0 @ ($true => $true)) != (sK0 @ $true)) | ((X0 @ $true @ $false) = $true)) )),
% 1.45/1.17 inference(cnf_transformation,[status(thm)],[f10])).
% 1.45/1.17 thf(f10,plain,(
% 1.45/1.17 ! [X0 : $o > $o > $o] : (((X0 @ $false @ $false) = $true) | ((X0 @ $true @ $false) = $true) | ($true = (X0 @ $false @ $true)) | ((X0 @ $true @ $true) != $true)) | ((sK0 @ ($true => $true)) != (sK0 @ $true))),
% 1.45/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])).
% 1.45/1.17 thf(f9,plain,(
% 1.45/1.17 ? [X1 : $o > $o] : ((X1 @ ($true => $true)) != (X1 @ $true)) => ((sK0 @ ($true => $true)) != (sK0 @ $true))),
% 1.45/1.17 introduced(definition,[],[choice_axiom])).
% 1.45/1.17 thf(f8,plain,(
% 1.45/1.17 ! [X0 : $o > $o > $o] : (((X0 @ $false @ $false) = $true) | ((X0 @ $true @ $false) = $true) | ($true = (X0 @ $false @ $true)) | ((X0 @ $true @ $true) != $true)) | ? [X1 : $o > $o] : ((X1 @ ($true => $true)) != (X1 @ $true))),
% 1.45/1.17 inference(rectify,[status(thm)],[f7])).
% 1.45/1.17 thf(f7,plain,(
% 1.45/1.17 ! [X1 : $o > $o > $o] : (($true = (X1 @ $false @ $false)) | ((X1 @ $true @ $false) = $true) | ((X1 @ $false @ $true) = $true) | ($true != (X1 @ $true @ $true))) | ? [X0 : $o > $o] : ((X0 @ $true) != (X0 @ ($true => $true)))),
% 1.45/1.17 inference(ennf_transformation,[status(thm)],[f6])).
% 1.45/1.17 thf(f6,plain,(
% 1.45/1.17 ~(! [X0 : $o > $o] : ((X0 @ $true) = (X0 @ ($true => $true))) & ? [X1 : $o > $o > $o] : (((X1 @ $true @ $false) != $true) & ((X1 @ $false @ $true) != $true) & ($true != (X1 @ $false @ $false)) & ($true = (X1 @ $true @ $true))))),
% 1.45/1.17 inference(flattening,[status(thm)],[f5])).
% 1.45/1.17 thf(f5,plain,(
% 1.45/1.17 ~(! [X0 : $o > $o] : ((X0 @ $true) = (X0 @ ($true => $true))) & ? [X1 : $o > $o > $o] : (~((X1 @ $true @ $false) = $true) & ($true = (X1 @ $true @ $true)) & ~((X1 @ $false @ $true) = $true) & ~($true = (X1 @ $false @ $false))))),
% 1.45/1.17 inference(fool_elimination,[status(thm)],[f4])).
% 1.45/1.17 thf(f4,plain,(
% 1.45/1.17 ~(! [X0 : $o > $o] : ((X0 @ $true => $true) <=> (X0 @ $true)) & ? [X1 : $o > $o > $o] : (~(X1 @ $true @ $false) & (X1 @ $true @ $true) & ~(X1 @ $false @ $true) & ~(X1 @ $false @ $false)))),
% 1.45/1.17 inference(rectify,[status(thm)],[f2])).
% 1.45/1.17 thf(f2,negated_conjecture,(
% 1.45/1.17 ~(! [X1 : $o > $o] : ((X1 @ $true => $true) <=> (X1 @ $true)) & ? [X0 : $o > $o > $o] : (~(X0 @ $true @ $false) & (X0 @ $true @ $true) & ~(X0 @ $false @ $true) & ~(X0 @ $false @ $false)))),
% 1.45/1.17 inference(negated_conjecture,[status(cth)],[f1])).
% 1.45/1.17 thf(f1,conjecture,(
% 1.45/1.17 ! [X1 : $o > $o] : ((X1 @ $true => $true) <=> (X1 @ $true)) & ? [X0 : $o > $o > $o] : (~(X0 @ $true @ $false) & (X0 @ $true @ $true) & ~(X0 @ $false @ $true) & ~(X0 @ $false @ $false))),
% 1.45/1.17 file('/export/starexec/sandbox2/tmp/tmp.zs11Dtb5p0/DTF2THF_23849.p',cOMEGA_EXAMPLE2)).
% 1.45/1.17 % SZS output end Proof for DTF2THF_23849
% 1.45/1.17 % (24012)------------------------------
% 1.45/1.17 % (24012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.17 % (24012)Termination reason: Refutation
% 1.45/1.17
% 1.45/1.17 % (24012)Memory used [KB]: 5500
% 1.45/1.17 % (24012)Time elapsed: 0.005 s
% 1.45/1.17 % (24012)Instructions burned: 2 (million)
% 1.45/1.17 % (24012)------------------------------
% 1.45/1.17 % (24012)------------------------------
% 1.45/1.17 % (24006)Success in time 0.021 s
%------------------------------------------------------------------------------