%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO366^5 : 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 : n016.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 09:54:03 AM UTC 2026
% Result : Theorem 1.65s 1.42s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO366^5 : 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
% 0.17/0.34 % Computer : n016.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 14:29:51 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.47 thf(spec,logic,$$dhol).
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 % File : SYO366^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.47 % Domain : Syntactic
% 0.20/0.47 % Problem : TPS problem from EXTENSIONALITY
% 0.20/0.47 % Version : Especial.
% 0.20/0.47 % English :
% 0.20/0.47
% 0.20/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.47 % Source : [Bro09]
% 0.20/0.47 % Names : tps_0611 [Bro09]
% 0.20/0.47
% 0.20/0.47 % Status : Theorem
% 0.20/0.47 % 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 v6.0.0, 0.00 v5.3.0, 0.25 v4.1.0, 0.33 v4.0.0
% 0.20/0.47 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.20/0.47 % Number of atoms : 5 ( 0 equ; 0 cnn)
% 0.20/0.47 % Maximal formula atoms : 5 ( 5 avg)
% 0.20/0.47 % Number of connectives : 4 ( 0 ~; 0 |; 0 &; 2 @)
% 0.20/0.47 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.47 % Maximal formula depth : 4 ( 4 avg)
% 0.20/0.47 % Number of types : 1 ( 0 usr)
% 0.20/0.47 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.20/0.47 % Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% 0.20/0.47 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.20/0.47 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.47
% 0.20/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 thf(cP,type,
% 0.20/0.47 cP: $o > $o ).
% 0.20/0.47
% 0.20/0.47 thf(cA,type,
% 0.20/0.47 cA: $o ).
% 0.20/0.47
% 0.20/0.47 thf(cTRIVEXT4,conjecture,
% 0.20/0.47 ( ( cP
% 0.20/0.47 @ ( cA
% 0.20/0.47 => cA ) )
% 0.20/0.47 => ( cP @ $true ) ) ).
% 0.20/0.47
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 ------------------------
% 1.47/1.39 ---- Embedded in THF ---
% 1.47/1.39 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.39 %%% Generated on Tue Feb 24 14:29:52 EST 2026
% 1.47/1.39 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.39 %%% Logic specification used:
% 1.47/1.39 %%% thf(spec, logic, $$dhol).
% 1.47/1.39
% 1.47/1.39 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.wF5mXKBERG/DTF2DTF18871.p
% 1.47/1.39 thf(cP, type, cP: ($o > $o)).
% 1.47/1.39 thf(cA, type, cA: $o).
% 1.47/1.39 thf(cTRIVEXT4, conjecture, ((cP @ (cA => cA)) => (cP @ $true))).
% 1.47/1.39 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.wF5mXKBERG/DTF2DTF18871.p
% 1.47/1.39 ------------------------
% 1.65/1.40 ---- Cleaned THF ---
% 1.65/1.40 thf(cP,type,
% 1.65/1.40 cP: $o > $o ).
% 1.65/1.40
% 1.65/1.40 thf(cA,type,
% 1.65/1.40 cA: $o ).
% 1.65/1.40
% 1.65/1.40 thf(cTRIVEXT4,conjecture,
% 1.65/1.40 ( ( cP
% 1.65/1.40 @ ( cA
% 1.65/1.40 => cA ) )
% 1.65/1.40 => ( cP @ $true ) ) ).
% 1.65/1.40 ------------------------
% 1.65/1.42 % (18970)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_18871 for (3000ds/27Mi)
% 1.65/1.42 % (18973)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_18871 for (3000ds/275Mi)
% 1.65/1.42 % (18971)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_18871 for (3000ds/2Mi)
% 1.65/1.42 % (18972)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_18871 for (3000ds/2Mi)
% 1.65/1.42 % (18968)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_18871 for (3000ds/183Mi)
% 1.65/1.42 % (18974)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_18871 for (3000ds/18Mi)
% 1.65/1.42 % (18969)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_18871 for (3000ds/4Mi)
% 1.65/1.42 % (18972)First to succeed.
% 1.65/1.42 % (18974)Also succeeded, but the first one will report.
% 1.65/1.42 % (18973)Also succeeded, but the first one will report.
% 1.65/1.42 % (18972)Refutation found. Thanks to Tanya!
% 1.65/1.42 % SZS status Theorem for DTF2THF_18871
% 1.65/1.42 % SZS output start Proof for DTF2THF_18871
% 1.65/1.42 thf(func_def_0, type, cP: $o > $o).
% 1.65/1.42 thf(f10,plain,(
% 1.65/1.42 $false),
% 1.65/1.42 inference(trivial_inequality_removal,[status(thm)],[f9])).
% 1.65/1.42 thf(f9,plain,(
% 1.65/1.42 ($false = $true)),
% 1.65/1.42 inference(boolean_simplification,[status(thm)],[f8])).
% 1.65/1.42 thf(f8,plain,(
% 1.65/1.42 ($true = (~ $true))),
% 1.65/1.42 inference(boolean_simplification,[status(thm)],[f7])).
% 1.65/1.42 thf(f7,plain,(
% 1.65/1.42 ($true = (~ ((cP @ $true) => (cP @ $true))))),
% 1.65/1.42 inference(boolean_simplification,[status(thm)],[f6])).
% 1.65/1.42 thf(f6,plain,(
% 1.65/1.42 ($true = (~ ((cP @ (cA => cA)) => (cP @ $true))))),
% 1.65/1.42 inference(cnf_transformation,[status(thm)],[f5])).
% 1.65/1.42 thf(f5,plain,(
% 1.65/1.42 ($true = (~ ((cP @ (cA => cA)) => (cP @ $true))))),
% 1.65/1.42 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.42 thf(f4,plain,(
% 1.65/1.42 ~((cP @ cA => cA) => (cP @ $true))),
% 1.65/1.42 inference(rectify,[status(thm)],[f2])).
% 1.65/1.42 thf(f2,negated_conjecture,(
% 1.65/1.42 ~((cP @ cA => cA) => (cP @ $true))),
% 1.65/1.42 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.42 thf(f1,conjecture,(
% 1.65/1.42 (cP @ cA => cA) => (cP @ $true)),
% 1.65/1.42 file('/export/starexec/sandbox/tmp/tmp.wF5mXKBERG/DTF2THF_18871.p',cTRIVEXT4)).
% 1.65/1.42 % SZS output end Proof for DTF2THF_18871
% 1.65/1.42 % (18972)------------------------------
% 1.65/1.42 % (18972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (18972)Termination reason: Refutation
% 1.65/1.42
% 1.65/1.42 % (18972)Memory used [KB]: 5373
% 1.65/1.42 % (18972)Time elapsed: 0.003 s
% 1.65/1.42 % (18972)Instructions burned: 1 (million)
% 1.65/1.42 % (18972)------------------------------
% 1.65/1.42 % (18972)------------------------------
% 1.65/1.42 % (18967)Success in time 0.018 s
%------------------------------------------------------------------------------