%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO285^5 : 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 : n017.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 09:53:51 AM UTC 2026
% Result : Theorem 1.54s 1.30s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 44 ( 9 ~; 2 |; 6 &; 22 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 1 ^; 11 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
cQ: $i > $o ).
thf(func_def_2,type,
cR: $i > $o ).
thf(func_def_8,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f26,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f25]) ).
thf(f25,plain,
$false = $true,
inference(beta_eta_normalization,[status(thm)],[f23]) ).
thf(f23,plain,
( ( ^ [Y0: $i] : $false
@ y )
= $true ),
inference(primitive_instantiation,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $i > $o] :
( ( X0 @ y )
= $true ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
( ! [X0: $i > $o] :
( ( X0 @ y )
= $true )
& ( ( $true
!= ( cR @ sK0 ) )
| ( ( cQ @ y )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
thf(f7,plain,
( ? [X1: $i] :
( ( cR @ X1 )
!= $true )
=> ( $true
!= ( cR @ sK0 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f6,plain,
( ! [X0: $i > $o] :
( ( X0 @ y )
= $true )
& ( ? [X1: $i] :
( ( cR @ X1 )
!= $true )
| ( ( cQ @ y )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ! [X0: $i > $o] :
( ( X0 @ y )
= $true )
=> ( ( ( cQ @ y )
= $true )
& ! [X1: $i] :
( ( cR @ X1 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: $i > $o] : ( X0 @ y )
=> ( ! [X1: $i] : ( cR @ X1 )
& ( cQ @ y ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i > $o] : ( X0 @ y )
=> ( ! [X1: $i] : ( cR @ X1 )
& ( cQ @ y ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i > $o] : ( X0 @ y )
=> ( ! [X1: $i] : ( cR @ X1 )
& ( cQ @ y ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TcxZbRcmlz/DTF2THF_28973.p',cTEST2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO285^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.29 % Computer : n017.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Feb 24 14:26:11 EST 2026
% 0.10/0.29 % CPUTime :
% 0.10/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.38 ---- Original DTF file ---
% 0.18/0.38 thf(spec,logic,$$dhol).
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 % File : SYO285^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.38 % Domain : Syntactic
% 0.18/0.38 % Problem : TPS problem from BASIC-HO-THMS
% 0.18/0.38 % Version : Especial.
% 0.18/0.38 % English :
% 0.18/0.38
% 0.18/0.38 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.38 % Source : [Bro09]
% 0.18/0.38 % Names : tps_0674 [Bro09]
% 0.18/0.38
% 0.18/0.38 % Status : Theorem
% 0.18/0.38 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.00 v4.0.0
% 0.18/0.38 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.18/0.38 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.18/0.38 % Maximal formula atoms : 2 ( 2 avg)
% 0.18/0.38 % Number of connectives : 5 ( 0 ~; 0 |; 1 &; 3 @)
% 0.18/0.38 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.18/0.38 % Maximal formula depth : 5 ( 5 avg)
% 0.18/0.38 % Number of types : 2 ( 0 usr)
% 0.18/0.38 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.18/0.38 % Number of symbols : 3 ( 3 usr; 1 con; 0-1 aty)
% 0.18/0.38 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.18/0.38 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.38
% 0.18/0.38 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.38 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.38 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.38 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 thf(y,type,
% 0.18/0.38 y: $i ).
% 0.18/0.38
% 0.18/0.38 thf(cQ,type,
% 0.18/0.38 cQ: $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(cR,type,
% 0.18/0.38 cR: $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(cTEST2,conjecture,
% 0.18/0.38 ( ! [Xp: $i > $o] : ( Xp @ y )
% 0.18/0.38 => ( ! [Xx: $i] : ( cR @ Xx )
% 0.18/0.38 & ( cQ @ y ) ) ) ).
% 0.18/0.38
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 ------------------------
% 1.37/1.27 ---- Embedded in THF ---
% 1.37/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.37/1.27 %%% Generated on Tue Feb 24 14:26:11 EST 2026
% 1.37/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.37/1.27 %%% Logic specification used:
% 1.37/1.27 %%% thf(spec, logic, $$dhol).
% 1.37/1.27
% 1.37/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.TcxZbRcmlz/DTF2DTF28973.p
% See solution above
% 1.37/1.27 ------------------------
% 1.37/1.28 ---- Cleaned THF ---
% 1.37/1.28 thf(y,type,
% 1.37/1.28 y: $i ).
% 1.37/1.28
% 1.37/1.28 thf(cQ,type,
% 1.37/1.28 cQ: $i > $o ).
% 1.37/1.28
% 1.37/1.28 thf(cR,type,
% 1.37/1.28 cR: $i > $o ).
% 1.37/1.28
% 1.37/1.28 thf(cTEST2,conjecture,
% 1.37/1.28 ( ! [Xp: $i > $o] : ( Xp @ y )
% 1.37/1.28 => ( ! [Xx: $i] : ( cR @ Xx )
% 1.37/1.28 & ( cQ @ y ) ) ) ).
% 1.37/1.28 ------------------------
% 1.54/1.30 % (29072)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_28973 for (3000ds/27Mi)
% 1.54/1.30 % (29070)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_28973 for (3000ds/183Mi)
% 1.54/1.30 % (29073)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_28973 for (3000ds/2Mi)
% 1.54/1.30 % (29075)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_28973 for (3000ds/275Mi)
% 1.54/1.30 % (29074)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_28973 for (3000ds/2Mi)
% 1.54/1.30 % (29071)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_28973 for (3000ds/4Mi)
% 1.54/1.30 % (29076)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_28973 for (3000ds/18Mi)
% 1.54/1.30 % (29075)First to succeed.
% 1.54/1.30 % (29072)Refutation not found, incomplete strategy
% 1.54/1.30 % (29072)------------------------------
% 1.54/1.30 % (29072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.30 % (29072)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.30
% 1.54/1.30
% 1.54/1.30 % (29072)Memory used [KB]: 5500
% 1.54/1.30 % (29072)Time elapsed: 0.003 s
% 1.54/1.30 % (29072)Instructions burned: 1 (million)
% 1.54/1.30 % (29072)------------------------------
% 1.54/1.30 % (29072)------------------------------
% 1.54/1.30 % (29071)Also succeeded, but the first one will report.
% 1.54/1.30 % (29074)Instruction limit reached!
% 1.54/1.30 % (29074)------------------------------
% 1.54/1.30 % (29074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.30 % (29074)Termination reason: Unknown
% 1.54/1.30 % (29074)Termination phase: Saturation
% 1.54/1.30
% 1.54/1.30 % (29074)Memory used [KB]: 5500
% 1.54/1.30 % (29074)Time elapsed: 0.004 s
% 1.54/1.30 % (29074)Instructions burned: 3 (million)
% 1.54/1.30 % (29074)------------------------------
% 1.54/1.30 % (29074)------------------------------
% 1.54/1.30 % (29070)Also succeeded, but the first one will report.
% 1.54/1.30 % (29075)Refutation found. Thanks to Tanya!
% 1.54/1.30 % SZS status Theorem for DTF2THF_28973
% 1.54/1.30 % SZS output start Proof for DTF2THF_28973
% 1.54/1.30 thf(func_def_1, type, cQ: $i > $o).
% 1.54/1.30 thf(func_def_2, type, cR: $i > $o).
% 1.54/1.30 thf(func_def_8, type, ph2: !>[X0: $tType]:(X0)).
% 1.54/1.30 thf(f26,plain,(
% 1.54/1.30 $false),
% 1.54/1.30 inference(trivial_inequality_removal,[status(thm)],[f25])).
% 1.54/1.30 thf(f25,plain,(
% 1.54/1.30 ($false = $true)),
% 1.54/1.30 inference(beta_eta_normalization,[status(thm)],[f23])).
% 1.54/1.30 thf(f23,plain,(
% 1.54/1.30 (((^[Y0 : $i]: ($false)) @ y) = $true)),
% 1.54/1.30 inference(primitive_instantiation,[status(thm)],[f10])).
% 1.54/1.30 thf(f10,plain,(
% 1.54/1.30 ( ! [X0 : $i > $o] : (((X0 @ y) = $true)) )),
% 1.54/1.30 inference(cnf_transformation,[status(thm)],[f8])).
% 1.54/1.30 thf(f8,plain,(
% 1.54/1.30 ! [X0 : $i > $o] : ((X0 @ y) = $true) & (($true != (cR @ sK0)) | ((cQ @ y) != $true))),
% 1.54/1.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7])).
% 1.54/1.30 thf(f7,plain,(
% 1.54/1.30 ? [X1 : $i] : ((cR @ X1) != $true) => ($true != (cR @ sK0))),
% 1.54/1.30 introduced(definition,[],[choice_axiom])).
% 1.54/1.30 thf(f6,plain,(
% 1.54/1.30 ! [X0 : $i > $o] : ((X0 @ y) = $true) & (? [X1 : $i] : ((cR @ X1) != $true) | ((cQ @ y) != $true))),
% 1.54/1.30 inference(ennf_transformation,[status(thm)],[f5])).
% 1.54/1.30 thf(f5,plain,(
% 1.54/1.30 ~(! [X0 : $i > $o] : ((X0 @ y) = $true) => (((cQ @ y) = $true) & ! [X1 : $i] : ((cR @ X1) = $true)))),
% 1.54/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.54/1.30 thf(f4,plain,(
% 1.54/1.30 ~(! [X0 : $i > $o] : (X0 @ y) => (! [X1 : $i] : (cR @ X1) & (cQ @ y)))),
% 1.54/1.30 inference(rectify,[status(thm)],[f2])).
% 1.54/1.30 thf(f2,negated_conjecture,(
% 1.54/1.30 ~(! [X0 : $i > $o] : (X0 @ y) => (! [X1 : $i] : (cR @ X1) & (cQ @ y)))),
% 1.54/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.54/1.30 thf(f1,conjecture,(
% 1.54/1.30 ! [X0 : $i > $o] : (X0 @ y) => (! [X1 : $i] : (cR @ X1) & (cQ @ y))),
% 1.54/1.30 file('/export/starexec/sandbox2/tmp/tmp.TcxZbRcmlz/DTF2THF_28973.p',cTEST2)).
% 1.54/1.30 % SZS output end Proof for DTF2THF_28973
% 1.54/1.30 % (29075)------------------------------
% 1.54/1.30 % (29075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.30 % (29075)Termination reason: Refutation
% 1.54/1.30
% 1.54/1.30 % (29075)Memory used [KB]: 5500
% 1.54/1.30 % (29075)Time elapsed: 0.003 s
% 1.54/1.30 % (29075)Instructions burned: 1 (million)
% 1.54/1.30 % (29075)------------------------------
% 1.54/1.30 % (29075)------------------------------
% 1.54/1.30 % (29069)Success in time 0.017 s
%------------------------------------------------------------------------------