%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO369^5 : 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 : 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 09:54:03 AM UTC 2026
% Result : Theorem 1.60s 1.30s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO369^5 : 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
% 0.16/0.34 % Computer : n004.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 14:28:41 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.45 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : SYO369^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.46 % Domain : Syntactic
% 0.19/0.46 % Problem : TPS problem from EXTENSIONALITY
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English :
% 0.19/0.46
% 0.19/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.46 % Source : [Bro09]
% 0.19/0.46 % Names : tps_0642 [Bro09]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 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
% 0.19/0.46 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.19/0.46 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 6 ( 6 avg)
% 0.19/0.46 % Number of connectives : 6 ( 1 ~; 1 |; 0 &; 2 @)
% 0.19/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 5 ( 5 avg)
% 0.19/0.46 % Number of types : 1 ( 0 usr)
% 0.19/0.46 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.19/0.46 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.19/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.46
% 0.19/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(cB,type,
% 0.19/0.46 cB: $o ).
% 0.19/0.46
% 0.19/0.46 thf(cA,type,
% 0.19/0.46 cA: $o ).
% 0.19/0.46
% 0.19/0.46 thf(cP,type,
% 0.19/0.46 cP: $o > $o ).
% 0.19/0.46
% 0.19/0.46 thf(cTRIVEXT5,conjecture,
% 0.19/0.46 ( ( cP
% 0.19/0.46 @ ( cA
% 0.19/0.46 => cB ) )
% 0.19/0.46 => ( cP
% 0.19/0.46 @ ( ~ cA
% 0.19/0.46 | cB ) ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.42/1.27 ---- Embedded in THF ---
% 1.42/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.42/1.27 %%% Generated on Tue Feb 24 14:28:42 EST 2026
% 1.42/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.42/1.27 %%% Logic specification used:
% 1.42/1.27 %%% thf(spec, logic, $$dhol).
% 1.42/1.27
% 1.42/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.RHdPfPt92b/DTF2DTF24856.p
% 1.42/1.27 thf(cB, type, cB: $o).
% 1.42/1.27 thf(cA, type, cA: $o).
% 1.42/1.27 thf(cP, type, cP: ($o > $o)).
% 1.42/1.27 thf(cTRIVEXT5, conjecture, ((cP @ (cA => cB)) => (cP @ ((~ (cA)) | cB)))).
% 1.42/1.27 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.RHdPfPt92b/DTF2DTF24856.p
% 1.42/1.27 ------------------------
% 1.42/1.29 ---- Cleaned THF ---
% 1.42/1.29 thf(cB,type,
% 1.42/1.29 cB: $o ).
% 1.42/1.29
% 1.42/1.29 thf(cA,type,
% 1.42/1.29 cA: $o ).
% 1.42/1.29
% 1.42/1.29 thf(cP,type,
% 1.42/1.29 cP: $o > $o ).
% 1.42/1.29
% 1.42/1.29 thf(cTRIVEXT5,conjecture,
% 1.42/1.29 ( ( cP
% 1.42/1.29 @ ( cA
% 1.42/1.29 => cB ) )
% 1.42/1.29 => ( cP
% 1.42/1.29 @ ( ~ cA
% 1.42/1.29 | cB ) ) ) ).
% 1.42/1.29 ------------------------
% 1.60/1.30 % (25188)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_24856 for (3000ds/27Mi)
% 1.60/1.30 % (25186)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_24856 for (3000ds/183Mi)
% 1.60/1.30 % (25188)Refutation not found, incomplete strategy
% 1.60/1.30 % (25188)------------------------------
% 1.60/1.30 % (25188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.30 % (25188)Termination reason: Refutation not found, incomplete strategy
% 1.60/1.30
% 1.60/1.30
% 1.60/1.30 % (25188)Memory used [KB]: 5500
% 1.60/1.30 % (25188)Time elapsed: 0.002 s
% 1.60/1.30 % (25188)Instructions burned: 1 (million)
% 1.60/1.30 % (25188)------------------------------
% 1.60/1.30 % (25188)------------------------------
% 1.60/1.30 % (25186)First to succeed.
% 1.60/1.30 % (25186)Refutation found. Thanks to Tanya!
% 1.60/1.30 % SZS status Theorem for DTF2THF_24856
% 1.60/1.30 % SZS output start Proof for DTF2THF_24856
% 1.60/1.30 thf(func_def_2, type, cP: $o > $o).
% 1.60/1.30 thf(func_def_10, type, ph1: !>[X0: $tType]:(X0)).
% 1.60/1.30 thf(f49,plain,(
% 1.60/1.30 $false),
% 1.60/1.30 inference(avatar_sat_refutation,[status(thm)],[f35,f41,f48])).
% 1.60/1.30 thf(f48,plain,(
% 1.60/1.30 ~spl0_1),
% 1.60/1.30 inference(avatar_contradiction_clause,[status(thm)],[f47])).
% 1.60/1.30 thf(f47,plain,(
% 1.60/1.30 $false | ~spl0_1),
% 1.60/1.30 inference(subsumption_resolution,[status(thm)],[f44,f46])).
% 1.60/1.30 thf(f46,plain,(
% 1.60/1.30 ((cP @ $true) != $true) | ~spl0_1),
% 1.60/1.30 inference(boolean_simplification,[status(thm)],[f45])).
% 1.60/1.30 thf(f45,plain,(
% 1.60/1.30 ((cP @ ($true | cB)) != $true) | ~spl0_1),
% 1.60/1.30 inference(boolean_simplification,[status(thm)],[f42])).
% 1.60/1.30 thf(f42,plain,(
% 1.60/1.30 ($true != (cP @ ((~ $false) | cB))) | ~spl0_1),
% 1.60/1.30 inference(superposition,[status(thm)],[f7,f30])).
% 1.60/1.30 thf(f30,plain,(
% 1.60/1.30 (cA = $false) | ~spl0_1),
% 1.60/1.30 inference(avatar_component_clause,[status(thm)],[f28])).
% 1.60/1.30 thf(f28,definition,(
% 1.60/1.30 spl0_1 <=> (cA = $false)),
% 1.60/1.30 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.60/1.30 thf(f7,plain,(
% 1.60/1.30 ((cP @ ((~ cA) | cB)) != $true)),
% 1.60/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.60/1.30 thf(f6,plain,(
% 1.60/1.30 ((cP @ (cA => cB)) = $true) & ((cP @ ((~ cA) | cB)) != $true)),
% 1.60/1.30 inference(ennf_transformation,[status(thm)],[f5])).
% 1.60/1.30 thf(f5,plain,(
% 1.60/1.30 ~(((cP @ (cA => cB)) = $true) => ((cP @ ((~ cA) | cB)) = $true))),
% 1.60/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.60/1.30 thf(f4,plain,(
% 1.60/1.30 ~((cP @ cA => cB) => (cP @ cB | ~cA))),
% 1.60/1.30 inference(rectify,[status(thm)],[f2])).
% 1.60/1.30 thf(f2,negated_conjecture,(
% 1.60/1.30 ~((cP @ cA => cB) => (cP @ cB | ~cA))),
% 1.60/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.60/1.30 thf(f1,conjecture,(
% 1.60/1.30 (cP @ cA => cB) => (cP @ cB | ~cA)),
% 1.60/1.30 file('/export/starexec/sandbox/tmp/tmp.RHdPfPt92b/DTF2THF_24856.p',cTRIVEXT5)).
% 1.60/1.30 thf(f44,plain,(
% 1.60/1.30 ((cP @ $true) = $true) | ~spl0_1),
% 1.60/1.30 inference(boolean_simplification,[status(thm)],[f43])).
% 1.60/1.30 thf(f43,plain,(
% 1.60/1.30 ((cP @ ($false => cB)) = $true) | ~spl0_1),
% 1.60/1.30 inference(superposition,[status(thm)],[f8,f30])).
% 1.60/1.30 thf(f8,plain,(
% 1.60/1.30 ((cP @ (cA => cB)) = $true)),
% 1.60/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.60/1.30 thf(f41,plain,(
% 1.60/1.30 ~spl0_2),
% 1.60/1.30 inference(avatar_contradiction_clause,[status(thm)],[f40])).
% 1.60/1.30 thf(f40,plain,(
% 1.60/1.30 $false | ~spl0_2),
% 1.60/1.30 inference(subsumption_resolution,[status(thm)],[f38,f39])).
% 1.60/1.30 thf(f39,plain,(
% 1.60/1.30 ((cP @ $true) != $true) | ~spl0_2),
% 1.60/1.30 inference(boolean_simplification,[status(thm)],[f36])).
% 1.60/1.30 thf(f36,plain,(
% 1.60/1.30 ((cP @ ((~ cA) | $true)) != $true) | ~spl0_2),
% 1.60/1.30 inference(superposition,[status(thm)],[f7,f34])).
% 1.60/1.30 thf(f34,plain,(
% 1.60/1.30 (cB = $true) | ~spl0_2),
% 1.60/1.30 inference(avatar_component_clause,[status(thm)],[f32])).
% 1.60/1.30 thf(f32,definition,(
% 1.60/1.30 spl0_2 <=> (cB = $true)),
% 1.60/1.30 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.60/1.30 thf(f38,plain,(
% 1.60/1.30 ((cP @ $true) = $true) | ~spl0_2),
% 1.60/1.30 inference(boolean_simplification,[status(thm)],[f37])).
% 1.60/1.30 thf(f37,plain,(
% 1.60/1.30 ($true = (cP @ (cA => $true))) | ~spl0_2),
% 1.60/1.30 inference(superposition,[status(thm)],[f8,f34])).
% 1.60/1.30 thf(f35,plain,(
% 1.60/1.30 spl0_1 | spl0_2),
% 1.60/1.30 inference(avatar_split_clause,[status(thm)],[f26,f32,f28])).
% 1.60/1.30 thf(f26,plain,(
% 1.60/1.30 (cA = $false) | (cB = $true)),
% 1.60/1.30 inference(duplicate_literal_removal,[status(thm)],[f25])).
% 1.60/1.30 thf(f25,plain,(
% 1.60/1.30 (cA = $false) | (cB = $true) | (cA = $false)),
% 1.60/1.30 inference(not_proxy_clausification,[status(thm)],[f24])).
% 1.60/1.30 thf(f24,plain,(
% 1.60/1.30 (cA = $false) | ((~ cA) = $true) | (cB = $true)),
% 1.60/1.30 inference(duplicate_literal_removal,[status(thm)],[f23])).
% 1.60/1.30 thf(f23,plain,(
% 1.60/1.30 (cB = $true) | (cA = $false) | ((~ cA) = $true) | (cB = $true)),
% 1.60/1.30 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 1.60/1.30 thf(f22,plain,(
% 1.60/1.30 ((cA => cB) = $true) | ((~ cA) = $true) | (cB = $true)),
% 1.60/1.30 inference(binary_proxy_clausification,[status(thm)],[f11])).
% 1.60/1.30 thf(f11,plain,(
% 1.60/1.30 (((~ cA) | cB) = $true) | ((cA => cB) = $true)),
% 1.60/1.30 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 1.60/1.30 thf(f10,plain,(
% 1.60/1.30 ((cA => cB) != ((~ cA) | cB))),
% 1.60/1.30 inference(trivial_inequality_removal,[status(thm)],[f9])).
% 1.60/1.30 thf(f9,plain,(
% 1.60/1.30 ($true != $true) | ((cA => cB) != ((~ cA) | cB))),
% 1.60/1.30 inference(constrained_superposition,[status(thm)],[f7,f8])).
% 1.60/1.30 % SZS output end Proof for DTF2THF_24856
% 1.60/1.30 % (25186)------------------------------
% 1.60/1.30 % (25186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.30 % (25186)Termination reason: Refutation
% 1.60/1.30
% 1.60/1.30 % (25186)Memory used [KB]: 5500
% 1.60/1.30 % (25186)Time elapsed: 0.002 s
% 1.60/1.30 % (25186)Instructions burned: 2 (million)
% 1.60/1.30 % (25186)------------------------------
% 1.60/1.30 % (25186)------------------------------
% 1.60/1.30 % (25185)Success in time 0.011 s
%------------------------------------------------------------------------------