%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO231^5 : 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 : n027.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 09:53:43 AM UTC 2026
% Result : Theorem 1.63s 1.30s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 11 ( 8 ~; 0 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 36 ( 36 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-4 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 2 !; 4 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cB: sTfun($i,$o) ).
tff(func_def_1,type,
cA: sTfun($i,$o) ).
tff(f8,plain,
$false,
inference(equality_resolution,[status(thm)],[f7]) ).
tff(f7,plain,
! [X0: sTfun($i,$o)] : ( vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) != X0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
! [X0: sTfun($i,$o)] : ( vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) != X0 ),
inference(ennf_transformation,[status(thm)],[f5]) ).
tff(f5,plain,
~ ? [X0: sTfun($i,$o)] : ( vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) = X0 ),
inference(fool_elimination,[status(thm)],[f4]) ).
tff(f4,plain,
~ ? [X0: sTfun($i,$o)] :
( X0
= ( ^ [X1: $i] :
( vAPP($i,$o,cB,X1)
& ~ vAPP($i,$o,cA,X1) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: sTfun($i,$o)] :
( X0
= ( ^ [X1: $i] :
( vAPP($i,$o,cB,X1)
& ~ vAPP($i,$o,cA,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
? [X0: sTfun($i,$o)] :
( X0
= ( ^ [X1: $i] :
( vAPP($i,$o,cB,X1)
& ~ vAPP($i,$o,cA,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pgI1bTTs2B/DTF2THF_26005.p',cSV6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO231^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 14:26:52 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.46 ---- Original DTF file ---
% 0.28/0.46 thf(spec,logic,$$dhol).
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 % File : SYO231^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.46 % Domain : Syntactic
% 0.28/0.46 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.28/0.46 % Version : Especial.
% 0.28/0.46 % English :
% 0.28/0.46
% 0.28/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.46 % Source : [Bro09]
% 0.28/0.46 % Names : tps_0671 [Bro09]
% 0.28/0.46
% 0.28/0.46 % Status : Theorem
% 0.28/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.23 v8.1.0, 0.27 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.1.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.28/0.46 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.28/0.46 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 0.28/0.46 % Maximal formula atoms : 1 ( 3 avg)
% 0.28/0.46 % Number of connectives : 4 ( 1 ~; 0 |; 1 &; 2 @)
% 0.28/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.28/0.46 % Maximal formula depth : 2 ( 2 avg)
% 0.28/0.46 % Number of types : 2 ( 0 usr)
% 0.28/0.46 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.28/0.46 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.28/0.46 % Number of variables : 2 ( 1 ^; 0 !; 1 ?; 2 :)
% 0.28/0.46 % SPC : TH0_THM_EQU_NAR
% 0.28/0.46
% 0.28/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 thf(cB,type,
% 0.28/0.46 cB: $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(cA,type,
% 0.28/0.46 cA: $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(cSV6,conjecture,
% 0.28/0.46 ? [Xu: $i > $o] :
% 0.28/0.46 ( Xu
% 0.28/0.46 = ( ^ [Xx: $i] :
% 0.28/0.46 ( ~ ( cA @ Xx )
% 0.28/0.46 & ( cB @ Xx ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 ------------------------
% 1.45/1.27 ---- Embedded in THF ---
% 1.45/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.28 %%% Generated on Tue Feb 24 14:26:53 EST 2026
% 1.45/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.28 %%% Logic specification used:
% 1.45/1.28 %%% thf(spec, logic, $$dhol).
% 1.45/1.28
% 1.45/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.pgI1bTTs2B/DTF2DTF26005.p
% See solution above
% 1.45/1.28 ------------------------
% 1.45/1.28 ---- Cleaned THF ---
% 1.45/1.29 thf(cB,type,
% 1.45/1.29 cB: $i > $o ).
% 1.45/1.29
% 1.45/1.29 thf(cA,type,
% 1.45/1.29 cA: $i > $o ).
% 1.45/1.29
% 1.45/1.29 thf(cSV6,conjecture,
% 1.45/1.29 ? [Xu: $i > $o] :
% 1.45/1.29 ( Xu
% 1.45/1.29 = ( ^ [Xx: $i] :
% 1.45/1.29 ( ~ ( cA @ Xx )
% 1.45/1.29 & ( cB @ Xx ) ) ) ) ).
% 1.45/1.29 ------------------------
% 1.63/1.30 % (26276)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_26005 for (2999ds/4Mi)
% 1.63/1.30 % (26276)First to succeed.
% 1.63/1.30 % (26276)Refutation found. Thanks to Tanya!
% 1.63/1.30 % SZS status Theorem for DTF2THF_26005
% 1.63/1.30 % SZS output start Proof for DTF2THF_26005
% 1.63/1.30 tff(func_def_0, type, cB: sTfun($i,$o)).
% 1.63/1.30 tff(func_def_1, type, cA: sTfun($i,$o)).
% 1.63/1.30 tff(f8,plain,(
% 1.63/1.30 $false),
% 1.63/1.30 inference(equality_resolution,[status(thm)],[f7])).
% 1.63/1.30 tff(f7,plain,(
% 1.63/1.30 ( ! [X0 : sTfun($i,$o)] : (vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) != X0) )),
% 1.63/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.63/1.30 tff(f6,plain,(
% 1.63/1.30 ! [X0 : sTfun($i,$o)] : vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) != X0),
% 1.63/1.30 inference(ennf_transformation,[status(thm)],[f5])).
% 1.63/1.30 tff(f5,plain,(
% 1.63/1.30 ~? [X0 : sTfun($i,$o)] : vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,cA,db0($i)))),vAPP($i,$o,cB,db0($i)))) = X0),
% 1.63/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.63/1.30 tff(f4,plain,(
% 1.63/1.30 ~? [X0 : sTfun($i,$o)] : X0 = (^[X1 : $i] : (vAPP($i,$o,cB,X1) & ~vAPP($i,$o,cA,X1)))),
% 1.63/1.30 inference(rectify,[status(thm)],[f2])).
% 1.63/1.30 tff(f2,negated_conjecture,(
% 1.63/1.30 ~? [X0 : sTfun($i,$o)] : X0 = (^[X1 : $i] : (vAPP($i,$o,cB,X1) & ~vAPP($i,$o,cA,X1)))),
% 1.63/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.30 tff(f1,conjecture,(
% 1.63/1.30 ? [X0 : sTfun($i,$o)] : X0 = (^[X1 : $i] : (vAPP($i,$o,cB,X1) & ~vAPP($i,$o,cA,X1)))),
% 1.63/1.30 file('/export/starexec/sandbox2/tmp/tmp.pgI1bTTs2B/DTF2THF_26005.p',cSV6)).
% 1.63/1.30 % SZS output end Proof for DTF2THF_26005
% 1.63/1.30 % (26276)------------------------------
% 1.63/1.30 % (26276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.30 % (26276)Termination reason: Refutation
% 1.63/1.30
% 1.63/1.30 % (26276)Memory used [KB]: 5373
% 1.63/1.30 % (26276)Time elapsed: 0.001 s
% 1.63/1.30 % (26276)------------------------------
% 1.63/1.30 % (26276)------------------------------
% 1.63/1.30 % (26274)Success in time 0.012 s
%------------------------------------------------------------------------------