%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO346^5 : 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 : n019.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 09:54:00 AM UTC 2026
% Result : Theorem 1.29s 1.15s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 43 ( 16 ~; 10 |; 2 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
cP: $o > $o ).
thf(f12,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f11,f10]) ).
thf(f10,plain,
( ( cP @ cB )
!= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( cP @ cB )
!= $true )
& ( cA = cB )
& ( ( cP @ cA )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( ( ( cP @ cA )
!= $true )
| ( ( cP @ cB )
= $true )
| ( cA != cB ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( cA != cB )
| ( ( cP @ cB )
= $true )
| ( ( cP @ cA )
!= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( cA != cB )
| ( cP @ cB )
| ~ ( cP @ cA ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( cA != cB )
| ( cP @ cB )
| ~ ( cP @ cA ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( cA != cB )
| ( cP @ cB )
| ~ ( cP @ cA ) ),
file('/export/starexec/sandbox2/tmp/tmp.lxAshv1Wqx/DTF2THF_29400.p',cTHM621) ).
thf(f11,plain,
( ( cP @ cB )
= $true ),
inference(definition_unfolding,[status(thm)],[f8,f9]) ).
thf(f9,plain,
cA = cB,
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f8,plain,
( ( cP @ cA )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO346^5 : TPTP v9.2.1. Released v4.0.0.
% 0.10/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Feb 24 14:28:24 EST 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.42 ---- Original DTF file ---
% 0.17/0.42 thf(spec,logic,$$dhol).
% 0.17/0.42 %------------------------------------------------------------------------------
% 0.17/0.42 % File : SYO346^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.42 % Domain : Syntactic
% 0.17/0.42 % Problem : TPS problem THM621
% 0.17/0.42 % Version : Especial.
% 0.17/0.42 % English : Simple extensionality example.
% 0.17/0.42
% 0.17/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.42 % Source : [Bro09]
% 0.17/0.42 % Names : tps_0049 [Bro09]
% 0.17/0.42 % : THM621 [TPS]
% 0.17/0.42
% 0.17/0.42 % Status : Theorem
% 0.17/0.42 % Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.17/0.42 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.17/0.42 % Number of atoms : 7 ( 1 equ; 0 cnn)
% 0.17/0.42 % Maximal formula atoms : 5 ( 7 avg)
% 0.17/0.42 % Number of connectives : 6 ( 2 ~; 2 |; 0 &; 2 @)
% 0.17/0.42 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.17/0.42 % Maximal formula depth : 5 ( 5 avg)
% 0.17/0.42 % Number of types : 1 ( 0 usr)
% 0.17/0.42 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.17/0.42 % Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% 0.17/0.42 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.17/0.42 % SPC : TH0_THM_EQU_NAR
% 0.17/0.42
% 0.17/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.42 %------------------------------------------------------------------------------
% 0.17/0.42 thf(cB,type,
% 0.17/0.42 cB: $o ).
% 0.17/0.42
% 0.17/0.42 thf(cP,type,
% 0.17/0.42 cP: $o > $o ).
% 0.17/0.42
% 0.17/0.42 thf(cA,type,
% 0.17/0.42 cA: $o ).
% 0.17/0.42
% 0.17/0.42 thf(cTHM621,conjecture,
% 0.17/0.42 ( ( cA != cB )
% 0.17/0.42 | ~ ( cP @ cA )
% 0.17/0.42 | ( cP @ cB ) ) ).
% 0.17/0.42
% 0.17/0.42 %------------------------------------------------------------------------------
% 0.17/0.42 ------------------------
% 1.29/1.13 ---- Embedded in THF ---
% 1.29/1.13 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.29/1.13 %%% Generated on Tue Feb 24 14:28:25 EST 2026
% 1.29/1.13 %%% using '$$dhol' embedding, version 1.3.0.
% 1.29/1.13 %%% Logic specification used:
% 1.29/1.13 %%% thf(spec, logic, $$dhol).
% 1.29/1.13
% 1.29/1.13 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.lxAshv1Wqx/DTF2DTF29400.p
% See solution above
% 1.29/1.13 ------------------------
% 1.29/1.13 ---- Cleaned THF ---
% 1.29/1.13 thf(cB,type,
% 1.29/1.13 cB: $o ).
% 1.29/1.13
% 1.29/1.13 thf(cP,type,
% 1.29/1.13 cP: $o > $o ).
% 1.29/1.13
% 1.29/1.13 thf(cA,type,
% 1.29/1.13 cA: $o ).
% 1.29/1.13
% 1.29/1.13 thf(cTHM621,conjecture,
% 1.29/1.13 ( ( cA != cB )
% 1.29/1.13 | ~ ( cP @ cA )
% 1.29/1.13 | ( cP @ cB ) ) ).
% 1.29/1.13 ------------------------
% 1.29/1.15 % (29497)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29400 for (3000ds/183Mi)
% 1.29/1.15 % (29497)First to succeed.
% 1.29/1.15 % (29497)Refutation found. Thanks to Tanya!
% 1.29/1.15 % SZS status Theorem for DTF2THF_29400
% 1.29/1.15 % SZS output start Proof for DTF2THF_29400
% 1.29/1.15 thf(func_def_1, type, cP: $o > $o).
% 1.29/1.15 thf(f12,plain,(
% 1.29/1.15 $false),
% 1.29/1.15 inference(subsumption_resolution,[status(thm)],[f11,f10])).
% 1.29/1.15 thf(f10,plain,(
% 1.29/1.15 ((cP @ cB) != $true)),
% 1.29/1.15 inference(cnf_transformation,[status(thm)],[f7])).
% 1.29/1.15 thf(f7,plain,(
% 1.29/1.15 ((cP @ cB) != $true) & (cA = cB) & ((cP @ cA) = $true)),
% 1.29/1.15 inference(ennf_transformation,[status(thm)],[f6])).
% 1.29/1.15 thf(f6,plain,(
% 1.29/1.15 ~(((cP @ cA) != $true) | ((cP @ cB) = $true) | (cA != cB))),
% 1.29/1.15 inference(flattening,[status(thm)],[f5])).
% 1.29/1.15 thf(f5,plain,(
% 1.29/1.15 ~((cA != cB) | ((cP @ cB) = $true) | ~((cP @ cA) = $true))),
% 1.29/1.15 inference(fool_elimination,[status(thm)],[f4])).
% 1.29/1.15 thf(f4,plain,(
% 1.29/1.15 ~((cA != cB) | (cP @ cB) | ~(cP @ cA))),
% 1.29/1.15 inference(rectify,[status(thm)],[f2])).
% 1.29/1.15 thf(f2,negated_conjecture,(
% 1.29/1.15 ~((cA != cB) | (cP @ cB) | ~(cP @ cA))),
% 1.29/1.15 inference(negated_conjecture,[status(cth)],[f1])).
% 1.29/1.15 thf(f1,conjecture,(
% 1.29/1.15 (cA != cB) | (cP @ cB) | ~(cP @ cA)),
% 1.29/1.15 file('/export/starexec/sandbox2/tmp/tmp.lxAshv1Wqx/DTF2THF_29400.p',cTHM621)).
% 1.29/1.15 thf(f11,plain,(
% 1.29/1.15 ((cP @ cB) = $true)),
% 1.29/1.15 inference(definition_unfolding,[status(thm)],[f8,f9])).
% 1.29/1.15 thf(f9,plain,(
% 1.29/1.15 (cA = cB)),
% 1.29/1.15 inference(cnf_transformation,[status(thm)],[f7])).
% 1.29/1.15 thf(f8,plain,(
% 1.29/1.15 ((cP @ cA) = $true)),
% 1.29/1.15 inference(cnf_transformation,[status(thm)],[f7])).
% 1.29/1.15 % SZS output end Proof for DTF2THF_29400
% 1.29/1.15 % (29497)------------------------------
% 1.29/1.15 % (29497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.29/1.15 % (29497)Termination reason: Refutation
% 1.29/1.15
% 1.29/1.15 % (29497)Memory used [KB]: 5373
% 1.29/1.15 % (29497)Time elapsed: 0.002 s
% 1.29/1.15 % (29497)------------------------------
% 1.29/1.15 % (29497)------------------------------
% 1.29/1.15 % (29496)Success in time 0.001 s
%------------------------------------------------------------------------------