%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO230^5 : 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 : n029.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 1.65s 1.40s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO230^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.30 % Computer : n029.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue Feb 24 14:26:44 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.40 ---- Original DTF file ---
% 0.18/0.41 thf(spec,logic,$$dhol).
% 0.18/0.41 %------------------------------------------------------------------------------
% 0.18/0.41 % File : SYO230^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.41 % Domain : Syntactic
% 0.18/0.41 % Problem : TPS problem from BASIC-HO-EQ-THMS
% 0.18/0.41 % Version : Especial.
% 0.18/0.41 % English :
% 0.18/0.41
% 0.18/0.41 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.41 % Source : [Bro09]
% 0.18/0.41 % Names : tps_0655 [Bro09]
% 0.18/0.41
% 0.18/0.41 % Status : Theorem
% 0.18/0.41 % 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 v4.1.0, 0.00 v4.0.0
% 0.18/0.41 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.18/0.41 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 0.18/0.41 % Maximal formula atoms : 1 ( 3 avg)
% 0.18/0.41 % Number of connectives : 3 ( 0 ~; 1 |; 0 &; 2 @)
% 0.18/0.41 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.41 % Maximal formula depth : 2 ( 2 avg)
% 0.18/0.41 % Number of types : 2 ( 0 usr)
% 0.18/0.41 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.18/0.41 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.18/0.41 % Number of variables : 2 ( 1 ^; 0 !; 1 ?; 2 :)
% 0.18/0.41 % SPC : TH0_THM_EQU_NAR
% 0.18/0.41
% 0.18/0.41 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.41 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.41 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.41 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.41 %------------------------------------------------------------------------------
% 0.18/0.41 thf(cB,type,
% 0.18/0.41 cB: $i > $o ).
% 0.18/0.41
% 0.18/0.41 thf(cA,type,
% 0.18/0.41 cA: $i > $o ).
% 0.18/0.41
% 0.18/0.41 thf(cSV2,conjecture,
% 0.18/0.41 ? [Xu: $i > $o] :
% 0.18/0.41 ( Xu
% 0.18/0.41 = ( ^ [Xx: $i] :
% 0.18/0.41 ( ( cA @ Xx )
% 0.18/0.41 | ( cB @ Xx ) ) ) ) ).
% 0.18/0.41
% 0.18/0.41 %------------------------------------------------------------------------------
% 0.18/0.41 ------------------------
% 1.49/1.37 ---- 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 14:26:45 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/sandbox2/tmp/tmp.Nbq3uu6jYz/DTF2DTF1991.p
% 1.49/1.37 thf(cB, type, cB: ($i > $o)).
% 1.49/1.37 thf(cA, type, cA: ($i > $o)).
% 1.49/1.37 thf(cSV2, conjecture, (? [Xu:($i > $o)]: ((Xu = (^ [Xx:$i]: (((cA @ Xx) | (cB @ Xx)))))))).
% 1.49/1.37 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Nbq3uu6jYz/DTF2DTF1991.p
% 1.49/1.37 ------------------------
% 1.49/1.38 ---- Cleaned THF ---
% 1.49/1.38 thf(cB,type,
% 1.49/1.38 cB: $i > $o ).
% 1.49/1.38
% 1.49/1.38 thf(cA,type,
% 1.49/1.38 cA: $i > $o ).
% 1.49/1.38
% 1.49/1.38 thf(cSV2,conjecture,
% 1.49/1.38 ? [Xu: $i > $o] :
% 1.49/1.38 ( Xu
% 1.49/1.38 = ( ^ [Xx: $i] :
% 1.49/1.38 ( ( cA @ Xx )
% 1.49/1.38 | ( cB @ Xx ) ) ) ) ).
% 1.49/1.38 ------------------------
% 1.65/1.40 % (2094)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/275Mi)
% 1.65/1.40 % (2090)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/4Mi)
% 1.65/1.40 % (2093)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/2Mi)
% 1.65/1.40 % (2092)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/2Mi)
% 1.65/1.40 % (2095)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/18Mi)
% 1.65/1.40 % (2091)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/27Mi)
% 1.65/1.40 % (2089)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1991 for (3000ds/183Mi)
% 1.65/1.40 % (2094)First to succeed.
% 1.65/1.40 % (2089)Also succeeded, but the first one will report.
% 1.65/1.40 % (2095)Also succeeded, but the first one will report.
% 1.65/1.40 % (2094)Refutation found. Thanks to Tanya!
% 1.65/1.40 % SZS status Theorem for DTF2THF_1991
% 1.65/1.40 % SZS output start Proof for DTF2THF_1991
% 1.65/1.40 tff(func_def_0, type, cB: sTfun($i,$o)).
% 1.65/1.40 tff(func_def_1, type, cA: sTfun($i,$o)).
% 1.65/1.40 fof(f8,plain,(
% 1.65/1.40 $false),
% 1.65/1.40 inference(equality_resolution,[status(thm)],[f7])).
% 1.65/1.40 fof(f7,plain,(
% 1.65/1.40 ( ! [X0] : (vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($i,$o,cB,db0($i))),vAPP($i,$o,cA,db0($i)))) != X0) )),
% 1.65/1.40 inference(cnf_transformation,[status(thm)],[f6])).
% 1.65/1.40 fof(f6,plain,(
% 1.65/1.40 ! [X0 : sTfun($i,$o)] : vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($i,$o,cB,db0($i))),vAPP($i,$o,cA,db0($i)))) != X0),
% 1.65/1.40 inference(ennf_transformation,[status(thm)],[f5])).
% 1.65/1.40 fof(f5,plain,(
% 1.65/1.40 ~? [X0 : sTfun($i,$o)] : vLAM($i,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($i,$o,cB,db0($i))),vAPP($i,$o,cA,db0($i)))) = X0),
% 1.65/1.40 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.40 fof(f4,plain,(
% 1.65/1.40 ~? [X0 : sTfun($i,$o)] : X0 = (^[X1 : $i] : (vAPP($i,$o,cA,X1) | vAPP($i,$o,cB,X1)))),
% 1.65/1.40 inference(rectify,[status(thm)],[f2])).
% 1.65/1.40 fof(f2,negated_conjecture,(
% 1.65/1.40 ~? [X0 : sTfun($i,$o)] : X0 = (^[X1 : $i] : (vAPP($i,$o,cA,X1) | vAPP($i,$o,cB,X1)))),
% 1.65/1.40 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.40 fof(f1,conjecture,(
% 1.65/1.40 ? [X0 : sTfun($i,$o)] : X0 = (^[X1 : $i] : (vAPP($i,$o,cA,X1) | vAPP($i,$o,cB,X1)))),
% 1.65/1.40 file('/export/starexec/sandbox2/tmp/tmp.Nbq3uu6jYz/DTF2THF_1991.p',cSV2)).
% 1.65/1.40 % SZS output end Proof for DTF2THF_1991
% 1.65/1.40 % (2094)------------------------------
% 1.65/1.40 % (2094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (2094)Termination reason: Refutation
% 1.65/1.40
% 1.65/1.40 % (2094)Memory used [KB]: 5373
% 1.65/1.40 % (2094)Time elapsed: 0.003 s
% 1.65/1.40 % (2094)Instructions burned: 1 (million)
% 1.65/1.40 % (2094)------------------------------
% 1.65/1.40 % (2094)------------------------------
% 1.65/1.40 % (2088)Success in time 0.018 s
%------------------------------------------------------------------------------