%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO081^5 : 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 : n031.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 09:53:20 AM UTC 2026
% Result : Theorem 1.61s 1.30s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 7 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 35 ( 6 ~; 0 |; 1 &; 24 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 8 !; 4 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
cR: $i > $i > $o ).
thf(func_def_4,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f10,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f9]) ).
thf(f9,plain,
$true != $true,
inference(superposition,[status(thm)],[f7,f8]) ).
thf(f8,plain,
! [X0: $i] :
( ( cR @ X0 @ cA )
= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
( ! [X0: $i] :
( ( cR @ X0 @ cA )
= $true )
& ! [X1: $i] :
( ( cR @ cB @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ! [X0: $i] :
( ( cR @ X0 @ cA )
= $true )
=> ? [X1: $i] :
( ( cR @ cB @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: $i] : ( cR @ X0 @ cA )
=> ? [X1: $i] : ( cR @ cB @ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i] : ( cR @ X0 @ cA )
=> ? [X1: $i] : ( cR @ cB @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i] : ( cR @ X0 @ cA )
=> ? [X1: $i] : ( cR @ cB @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.obId5EM36W/DTF2THF_8808.p',cTHM137) ).
thf(f7,plain,
! [X1: $i] :
( ( cR @ cB @ X1 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SYO081^5 : TPTP v9.2.1. Released v4.0.0.
% 0.10/0.14 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.35 % Computer : n031.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue Feb 24 14:24:48 EST 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.32/0.47 ---- Original DTF file ---
% 0.32/0.47 thf(spec,logic,$$dhol).
% 0.32/0.47 %------------------------------------------------------------------------------
% 0.32/0.47 % File : SYO081^5 : TPTP v9.2.1. Released v4.0.0.
% 0.32/0.47 % Domain : Syntactic
% 0.32/0.47 % Problem : TPS problem THM137
% 0.32/0.47 % Version : Especial.
% 0.32/0.47 % English : Trivial theorem for logic lessons.
% 0.32/0.47
% 0.32/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.32/0.47 % Source : [Bro09]
% 0.32/0.47 % Names : tps_0062 [Bro09]
% 0.32/0.47 % : tps_0664 [Bro09]
% 0.32/0.47 % : THM137 [TPS]
% 0.32/0.47
% 0.32/0.47 % Status : Theorem
% 0.32/0.47 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.32/0.47 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.32/0.47 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.32/0.47 % Maximal formula atoms : 2 ( 2 avg)
% 0.32/0.47 % Number of connectives : 5 ( 0 ~; 0 |; 0 &; 4 @)
% 0.32/0.47 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.32/0.47 % Maximal formula depth : 5 ( 5 avg)
% 0.32/0.47 % Number of types : 2 ( 0 usr)
% 0.32/0.47 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.32/0.47 % Number of symbols : 3 ( 3 usr; 2 con; 0-2 aty)
% 0.32/0.47 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.32/0.47 % SPC : TH0_THM_NEQ_NAR
% 0.32/0.47
% 0.32/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.32/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.32/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.32/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.32/0.47 %------------------------------------------------------------------------------
% 0.32/0.47 thf(cB,type,
% 0.32/0.47 cB: $i ).
% 0.32/0.47
% 0.32/0.47 thf(cR,type,
% 0.32/0.47 cR: $i > $i > $o ).
% 0.32/0.47
% 0.32/0.47 thf(cA,type,
% 0.32/0.47 cA: $i ).
% 0.32/0.47
% 0.32/0.47 thf(cTHM137,conjecture,
% 0.32/0.47 ( ! [X: $i] : ( cR @ X @ cA )
% 0.32/0.47 => ? [Y: $i] : ( cR @ cB @ Y ) ) ).
% 0.32/0.47
% 0.32/0.47 %------------------------------------------------------------------------------
% 0.32/0.47 ------------------------
% 1.45/1.27 ---- Embedded in THF ---
% 1.45/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.27 %%% Generated on Tue Feb 24 14:24:49 EST 2026
% 1.45/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.27 %%% Logic specification used:
% 1.45/1.27 %%% thf(spec, logic, $$dhol).
% 1.45/1.27
% 1.45/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.obId5EM36W/DTF2DTF8808.p
% See solution above
% 1.45/1.27 ------------------------
% 1.45/1.28 ---- Cleaned THF ---
% 1.45/1.28 thf(cB,type,
% 1.45/1.28 cB: $i ).
% 1.45/1.28
% 1.45/1.28 thf(cR,type,
% 1.45/1.28 cR: $i > $i > $o ).
% 1.45/1.28
% 1.45/1.28 thf(cA,type,
% 1.45/1.28 cA: $i ).
% 1.45/1.28
% 1.45/1.28 thf(cTHM137,conjecture,
% 1.45/1.28 ( ! [X: $i] : ( cR @ X @ cA )
% 1.45/1.28 => ? [Y: $i] : ( cR @ cB @ Y ) ) ).
% 1.45/1.28 ------------------------
% 1.45/1.29 % (9134)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_8808 for (2999ds/2Mi)
% 1.45/1.29 % (9132)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_8808 for (2999ds/27Mi)
% 1.45/1.30 % (9134)Instruction limit reached!
% 1.45/1.30 % (9134)------------------------------
% 1.45/1.30 % (9134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.30 % (9134)Termination reason: Unknown
% 1.45/1.30 % (9134)Termination phase: Saturation
% 1.45/1.30
% 1.45/1.30 % (9134)Memory used [KB]: 5500
% 1.45/1.30 % (9134)Time elapsed: 0.003 s
% 1.45/1.30 % (9134)Instructions burned: 2 (million)
% 1.45/1.30 % (9134)------------------------------
% 1.45/1.30 % (9134)------------------------------
% 1.45/1.30 % (9132)First to succeed.
% 1.61/1.30 % (9132)Refutation found. Thanks to Tanya!
% 1.61/1.30 % SZS status Theorem for DTF2THF_8808
% 1.61/1.30 % SZS output start Proof for DTF2THF_8808
% 1.61/1.30 thf(func_def_1, type, cR: $i > $i > $o).
% 1.61/1.30 thf(func_def_4, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.61/1.30 thf(f10,plain,(
% 1.61/1.30 $false),
% 1.61/1.30 inference(trivial_inequality_removal,[status(thm)],[f9])).
% 1.61/1.30 thf(f9,plain,(
% 1.61/1.30 ($true != $true)),
% 1.61/1.30 inference(superposition,[status(thm)],[f7,f8])).
% 1.61/1.30 thf(f8,plain,(
% 1.61/1.30 ( ! [X0 : $i] : (((cR @ X0 @ cA) = $true)) )),
% 1.61/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.61/1.30 thf(f6,plain,(
% 1.61/1.30 ! [X0 : $i] : ((cR @ X0 @ cA) = $true) & ! [X1 : $i] : ((cR @ cB @ X1) != $true)),
% 1.61/1.30 inference(ennf_transformation,[status(thm)],[f5])).
% 1.61/1.30 thf(f5,plain,(
% 1.61/1.30 ~(! [X0 : $i] : ((cR @ X0 @ cA) = $true) => ? [X1 : $i] : ((cR @ cB @ X1) = $true))),
% 1.61/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.61/1.30 thf(f4,plain,(
% 1.61/1.30 ~(! [X0 : $i] : (cR @ X0 @ cA) => ? [X1 : $i] : (cR @ cB @ X1))),
% 1.61/1.30 inference(rectify,[status(thm)],[f2])).
% 1.61/1.30 thf(f2,negated_conjecture,(
% 1.61/1.30 ~(! [X0 : $i] : (cR @ X0 @ cA) => ? [X1 : $i] : (cR @ cB @ X1))),
% 1.61/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.61/1.30 thf(f1,conjecture,(
% 1.61/1.30 ! [X0 : $i] : (cR @ X0 @ cA) => ? [X1 : $i] : (cR @ cB @ X1)),
% 1.61/1.30 file('/export/starexec/sandbox/tmp/tmp.obId5EM36W/DTF2THF_8808.p',cTHM137)).
% 1.61/1.30 thf(f7,plain,(
% 1.61/1.30 ( ! [X1 : $i] : (((cR @ cB @ X1) != $true)) )),
% 1.61/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.61/1.30 % SZS output end Proof for DTF2THF_8808
% 1.61/1.30 % (9132)------------------------------
% 1.61/1.30 % (9132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.30 % (9132)Termination reason: Refutation
% 1.61/1.30
% 1.61/1.30 % (9132)Memory used [KB]: 5500
% 1.61/1.30 % (9132)Time elapsed: 0.002 s
% 1.61/1.30 % (9132)Instructions burned: 1 (million)
% 1.61/1.30 % (9132)------------------------------
% 1.61/1.30 % (9132)------------------------------
% 1.61/1.30 % (9129)Success in time 0.012 s
%------------------------------------------------------------------------------