%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV187^5 : 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 : 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 09:40:30 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 : SEV187^5 : 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 : n029.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 12:41:44 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
% 0.27/0.46 ---- Original DTF file ---
% 0.27/0.46 thf(spec,logic,$$dhol).
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 % File : SEV187^5 : TPTP v9.2.1. Released v4.0.0.
% 0.27/0.46 % Domain : Set Theory (Sets of sets)
% 0.27/0.46 % Problem : TPS problem from CLOS-SYS-THMS
% 0.27/0.46 % Version : Especial.
% 0.27/0.46 % English :
% 0.27/0.46
% 0.27/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.27/0.46 % Source : [Bro09]
% 0.27/0.46 % Names : tps_0646 [Bro09]
% 0.27/0.46
% 0.27/0.46 % Status : Theorem
% 0.27/0.46 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.27/0.46 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.27/0.46 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.27/0.46 % Maximal formula atoms : 2 ( 2 avg)
% 0.27/0.46 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 1 @)
% 0.27/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.27/0.46 % Maximal formula depth : 6 ( 6 avg)
% 0.27/0.46 % Number of types : 4 ( 3 usr)
% 0.27/0.46 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.27/0.46 % Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% 0.27/0.46 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.27/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.27/0.46
% 0.27/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.27/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.27/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.27/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 thf(a_type,type,
% 0.27/0.46 a: $tType ).
% 0.27/0.46
% 0.27/0.46 thf(b_type,type,
% 0.27/0.46 b: $tType ).
% 0.27/0.46
% 0.27/0.46 thf(c_type,type,
% 0.27/0.46 c: $tType ).
% 0.27/0.46
% 0.27/0.46 thf(cCS3_ALL_THM_pme,conjecture,
% 0.27/0.46 ! [S: ( a > b > c > $o ) > $o] :
% 0.27/0.46 ( ! [Xx: a > b > c > $o] :
% 0.27/0.46 ( ( S @ Xx )
% 0.27/0.46 => $true )
% 0.27/0.46 => $true ) ).
% 0.27/0.46
% 0.27/0.46 %------------------------------------------------------------------------------
% 0.27/0.46 ------------------------
% 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 12:41:45 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/sandbox/tmp/tmp.ewwSxNZWj9/DTF2DTF17335.p
% 1.45/1.28 thf(a_type, type, a: $tType).
% 1.45/1.28 thf(b_type, type, b: $tType).
% 1.45/1.28 thf(c_type, type, c: $tType).
% 1.45/1.28 thf(cCS3_ALL_THM_pme, conjecture, (! [S:((a > (b > (c > $o))) > $o)]: (((! [Xx:(a > (b > (c > $o)))]: (((S @ Xx) => $true))) => $true)))).
% 1.45/1.28 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.ewwSxNZWj9/DTF2DTF17335.p
% 1.45/1.28 ------------------------
% 1.45/1.29 ---- Cleaned THF ---
% 1.45/1.29 thf(a_type,type,
% 1.45/1.29 a: $tType ).
% 1.45/1.29
% 1.45/1.29 thf(b_type,type,
% 1.45/1.29 b: $tType ).
% 1.45/1.29
% 1.45/1.29 thf(c_type,type,
% 1.45/1.29 c: $tType ).
% 1.45/1.29
% 1.45/1.29 thf(cCS3_ALL_THM_pme,conjecture,
% 1.45/1.29 ! [S: ( a > b > c > $o ) > $o] :
% 1.45/1.29 ( ! [Xx: a > b > c > $o] :
% 1.45/1.29 ( ( S @ Xx )
% 1.45/1.29 => $true )
% 1.45/1.29 => $true ) ).
% 1.45/1.29 ------------------------
% 1.60/1.30 % (17618)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_17335 for (2999ds/27Mi)
% 1.60/1.30 % (17618)First to succeed.
% 1.60/1.30 % (17618)Refutation found. Thanks to Tanya!
% 1.60/1.30 % SZS status Theorem for DTF2THF_17335
% 1.60/1.30 % SZS output start Proof for DTF2THF_17335
% 1.60/1.30 tff(type_def_5, type, a: $tType).
% 1.60/1.30 tff(type_def_6, type, b: $tType).
% 1.60/1.30 tff(type_def_7, type, c: $tType).
% 1.60/1.30 tff(func_def_0, type, a: $tType).
% 1.60/1.30 tff(func_def_1, type, b: $tType).
% 1.60/1.30 tff(func_def_2, type, c: $tType).
% 1.60/1.30 tff(func_def_4, type, vEPSILON: !>[X0: $tType]:(sTfun(sTfun(X0,$o),X0))).
% 1.60/1.30 fof(f7,plain,(
% 1.60/1.30 $false),
% 1.60/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.60/1.30 fof(f6,plain,(
% 1.60/1.30 $false),
% 1.60/1.30 inference(true_and_false_elimination,[status(thm)],[f5])).
% 1.60/1.30 fof(f5,plain,(
% 1.60/1.30 ~! [X0 : sTfun(sTfun(a,sTfun(b,sTfun(c,$o))),$o)] : (! [X1 : sTfun(a,sTfun(b,sTfun(c,$o)))] : ((vAPP(sTfun(a,sTfun(b,sTfun(c,$o))),$o,X0,X1) = $true) => $true) => $true)),
% 1.60/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.60/1.30 fof(f4,plain,(
% 1.60/1.30 ~! [X0 : sTfun(sTfun(a,sTfun(b,sTfun(c,$o))),$o)] : (! [X1 : sTfun(a,sTfun(b,sTfun(c,$o)))] : (vAPP(sTfun(a,sTfun(b,sTfun(c,$o))),$o,X0,X1) => $true) => $true)),
% 1.60/1.30 inference(rectify,[status(thm)],[f2])).
% 1.60/1.30 fof(f2,negated_conjecture,(
% 1.60/1.30 ~! [X0 : sTfun(sTfun(a,sTfun(b,sTfun(c,$o))),$o)] : (! [X1 : sTfun(a,sTfun(b,sTfun(c,$o)))] : (vAPP(sTfun(a,sTfun(b,sTfun(c,$o))),$o,X0,X1) => $true) => $true)),
% 1.60/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.60/1.30 fof(f1,conjecture,(
% 1.60/1.30 ! [X0 : sTfun(sTfun(a,sTfun(b,sTfun(c,$o))),$o)] : (! [X1 : sTfun(a,sTfun(b,sTfun(c,$o)))] : (vAPP(sTfun(a,sTfun(b,sTfun(c,$o))),$o,X0,X1) => $true) => $true)),
% 1.60/1.30 file('/export/starexec/sandbox/tmp/tmp.ewwSxNZWj9/DTF2THF_17335.p',cCS3_ALL_THM_pme)).
% 1.60/1.30 % SZS output end Proof for DTF2THF_17335
% 1.60/1.30 % (17618)------------------------------
% 1.60/1.30 % (17618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.30 % (17618)Termination reason: Refutation
% 1.60/1.30
% 1.60/1.30 % (17618)Memory used [KB]: 5373
% 1.60/1.30 % (17618)Time elapsed: 0.002 s
% 1.60/1.30 % (17618)------------------------------
% 1.60/1.30 % (17618)------------------------------
% 1.60/1.30 % (17615)Success in time 0.011 s
%------------------------------------------------------------------------------