%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO253^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 09:53:46 AM UTC 2026
% Result : Theorem 1.65s 1.40s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO253^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.32 % Computer : n002.cluster.edu
% 0.17/0.32 % Model : x86_64 x86_64
% 0.17/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.32 % Memory : 8042.1875MB
% 0.17/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue Feb 24 14:27:03 EST 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.45 thf(spec,logic,$$dhol).
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 % File : SYO253^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.45 % Domain : Syntactic
% 0.20/0.45 % Problem : TPS problem THM124
% 0.20/0.45 % Version : Especial.
% 0.20/0.45 % English : Example to show the need for primitive substitutions that
% 0.20/0.45 % introduce negation.
% 0.20/0.45
% 0.20/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.45 % Source : [Bro09]
% 0.20/0.45 % Names : tps_0082 [Bro09]
% 0.20/0.45 % : THM124 [TPS]
% 0.20/0.45
% 0.20/0.45 % Status : Theorem
% 0.20/0.45 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.20 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, 0.33 v6.1.0, 0.00 v5.3.0, 0.25 v4.1.0, 0.33 v4.0.0
% 0.20/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.45 % Number of atoms : 4 ( 0 equ; 0 cnn)
% 0.20/0.45 % Maximal formula atoms : 4 ( 4 avg)
% 0.20/0.45 % Number of connectives : 8 ( 3 ~; 1 |; 2 &; 2 @)
% 0.20/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.45 % Maximal formula depth : 7 ( 7 avg)
% 0.20/0.45 % Number of types : 1 ( 0 usr)
% 0.20/0.45 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.20/0.45 % Number of symbols : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.20/0.45 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.20/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.45
% 0.20/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 thf(p,type,
% 0.20/0.45 p: $o ).
% 0.20/0.45
% 0.20/0.45 thf(cTHM124,conjecture,
% 0.20/0.45 ? [Xf: $o > $o] :
% 0.20/0.45 ( ( Xf
% 0.20/0.45 @ ( p
% 0.20/0.45 & ~ p ) )
% 0.20/0.45 & ~ ( Xf
% 0.20/0.45 @ ( p
% 0.20/0.45 | ~ p ) ) ) ).
% 0.20/0.45
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 ------------------------
% 1.49/1.36 ---- Embedded in THF ---
% 1.49/1.37 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.37 %%% Generated on Tue Feb 24 14:27:04 EST 2026
% 1.49/1.37 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.37 %%% Logic specification used:
% 1.49/1.37 %%% thf(spec, logic, $$dhol).
% 1.49/1.37
% 1.49/1.37 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.j9avuiXZ7S/DTF2DTF17078.p
% 1.49/1.37 thf(p, type, p: $o).
% 1.49/1.37 thf(cTHM124, conjecture, (? [Xf:($o > $o)]: (((Xf @ (p & (~ (p)))) & (~ ((Xf @ (p | (~ (p)))))))))).
% 1.49/1.37 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.j9avuiXZ7S/DTF2DTF17078.p
% 1.49/1.37 ------------------------
% 1.49/1.37 ---- Cleaned THF ---
% 1.49/1.37 thf(p,type,
% 1.49/1.37 p: $o ).
% 1.49/1.37
% 1.49/1.37 thf(cTHM124,conjecture,
% 1.49/1.37 ? [Xf: $o > $o] :
% 1.49/1.37 ( ( Xf
% 1.49/1.37 @ ( p
% 1.49/1.37 & ~ p ) )
% 1.49/1.37 & ~ ( Xf
% 1.49/1.37 @ ( p
% 1.49/1.37 | ~ p ) ) ) ).
% 1.49/1.37 ------------------------
% 1.49/1.39 % (17178)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17078 for (3000ds/2Mi)
% 1.49/1.39 % (17175)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17078 for (3000ds/183Mi)
% 1.49/1.39 % (17179)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_17078 for (3000ds/2Mi)
% 1.49/1.39 % (17176)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_17078 for (3000ds/4Mi)
% 1.49/1.39 % (17177)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_17078 for (3000ds/27Mi)
% 1.49/1.39 % (17180)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_17078 for (3000ds/275Mi)
% 1.49/1.39 % (17181)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17078 for (3000ds/18Mi)
% 1.49/1.40 % (17177)Refutation not found, incomplete strategy
% 1.49/1.40 % (17177)------------------------------
% 1.49/1.40 % (17177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.40 % (17177)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.40
% 1.49/1.40
% 1.49/1.40 % (17177)Memory used [KB]: 5373
% 1.49/1.40 % (17177)Time elapsed: 0.003 s
% 1.49/1.40 % (17177)Instructions burned: 1 (million)
% 1.49/1.40 % (17180)First to succeed.
% 1.49/1.40 % (17177)------------------------------
% 1.49/1.40 % (17177)------------------------------
% 1.49/1.40 % (17179)Instruction limit reached!
% 1.49/1.40 % (17179)------------------------------
% 1.49/1.40 % (17179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.40 % (17179)Termination reason: Unknown
% 1.49/1.40 % (17179)Termination phase: Saturation
% 1.49/1.40
% 1.49/1.40 % (17179)Memory used [KB]: 5500
% 1.49/1.40 % (17179)Time elapsed: 0.003 s
% 1.49/1.40 % (17179)Instructions burned: 2 (million)
% 1.49/1.40 % (17179)------------------------------
% 1.49/1.40 % (17179)------------------------------
% 1.49/1.40 % (17178)Also succeeded, but the first one will report.
% 1.65/1.40 % (17181)Also succeeded, but the first one will report.
% 1.65/1.40 % (17180)Refutation found. Thanks to Tanya!
% 1.65/1.40 % SZS status Theorem for DTF2THF_17078
% 1.65/1.40 % SZS output start Proof for DTF2THF_17078
% 1.65/1.40 thf(func_def_8, type, ph1: !>[X0: $tType]:(X0)).
% 1.65/1.40 thf(f17,plain,(
% 1.65/1.40 $false),
% 1.65/1.40 inference(trivial_inequality_removal,[status(thm)],[f11])).
% 1.65/1.40 thf(f11,plain,(
% 1.65/1.40 ($true = $false)),
% 1.65/1.40 inference(leibniz_equality_elimination,[status(thm)],[f10])).
% 1.65/1.40 thf(f10,plain,(
% 1.65/1.40 ( ! [X0 : $o > $o] : (((X0 @ $true) = $true) | ($true != (X0 @ $false))) )),
% 1.65/1.40 inference(boolean_simplification,[status(thm)],[f9])).
% 1.65/1.40 thf(f9,plain,(
% 1.65/1.40 ( ! [X0 : $o > $o] : (((X0 @ $true) = $true) | ((X0 @ (p & (~ p))) != $true)) )),
% 1.65/1.40 inference(boolean_simplification,[status(thm)],[f8])).
% 1.65/1.40 thf(f8,plain,(
% 1.65/1.40 ( ! [X0 : $o > $o] : (((X0 @ (p | (~ p))) = $true) | ((X0 @ (p & (~ p))) != $true)) )),
% 1.65/1.40 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.40 thf(f7,plain,(
% 1.65/1.40 ! [X0 : $o > $o] : (((X0 @ (p | (~ p))) = $true) | ((X0 @ (p & (~ p))) != $true))),
% 1.65/1.40 inference(ennf_transformation,[status(thm)],[f6])).
% 1.65/1.40 thf(f6,plain,(
% 1.65/1.40 ~? [X0 : $o > $o] : (((X0 @ (p | (~ p))) != $true) & ((X0 @ (p & (~ p))) = $true))),
% 1.65/1.40 inference(flattening,[status(thm)],[f5])).
% 1.65/1.40 thf(f5,plain,(
% 1.65/1.40 ~? [X0 : $o > $o] : (~((X0 @ (p | (~ p))) = $true) & ((X0 @ (p & (~ p))) = $true))),
% 1.65/1.40 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.40 thf(f4,plain,(
% 1.65/1.40 ~? [X0 : $o > $o] : (~(X0 @ ~p | p) & (X0 @ ~p & p))),
% 1.65/1.40 inference(rectify,[status(thm)],[f2])).
% 1.65/1.40 thf(f2,negated_conjecture,(
% 1.65/1.40 ~? [X0 : $o > $o] : (~(X0 @ ~p | p) & (X0 @ ~p & p))),
% 1.65/1.40 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.40 thf(f1,conjecture,(
% 1.65/1.40 ? [X0 : $o > $o] : (~(X0 @ ~p | p) & (X0 @ ~p & p))),
% 1.65/1.40 file('/export/starexec/sandbox/tmp/tmp.j9avuiXZ7S/DTF2THF_17078.p',cTHM124)).
% 1.65/1.40 % SZS output end Proof for DTF2THF_17078
% 1.65/1.40 % (17180)------------------------------
% 1.65/1.40 % (17180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (17180)Termination reason: Refutation
% 1.65/1.40
% 1.65/1.40 % (17180)Memory used [KB]: 5500
% 1.65/1.40 % (17180)Time elapsed: 0.003 s
% 1.65/1.40 % (17180)Instructions burned: 1 (million)
% 1.65/1.40 % (17180)------------------------------
% 1.65/1.40 % (17180)------------------------------
% 1.65/1.40 % (17174)Success in time 0.017 s
%------------------------------------------------------------------------------