%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO134^5 : 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 : n012.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 09:53:27 AM UTC 2026
% Result : Theorem 0.85s 0.84s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 17 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 57 ( 9 ~; 3 |; 4 &; 29 @)
% ( 0 <=>; 12 =>; 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 : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
cQ: $i > $o ).
thf(func_def_2,type,
cP: $i > $o ).
thf(f12,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f10,f11]) ).
thf(f11,plain,
! [X0: $i] :
( ( cQ @ X0 )
= $true ),
inference(subsumption_resolution,[status(thm)],[f9,f8]) ).
thf(f8,plain,
! [X1: $i] :
( ( cP @ X1 )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( cQ @ a )
!= $true )
& ( ( ( cP @ a )
!= $true )
| ! [X0: $i] :
( ( cQ @ X0 )
= $true ) )
& ! [X1: $i] :
( ( cP @ X1 )
= $true ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ( cQ @ a )
!= $true )
& ! [X1: $i] :
( ( cP @ X1 )
= $true )
& ( ( ( cP @ a )
!= $true )
| ! [X0: $i] :
( ( cQ @ X0 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( ( ( cP @ a )
= $true )
=> ! [X0: $i] :
( ( cQ @ X0 )
= $true ) )
=> ( ! [X1: $i] :
( ( cP @ X1 )
= $true )
=> ( ( cQ @ a )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ( cP @ a )
=> ! [X0: $i] : ( cQ @ X0 ) )
=> ( ! [X1: $i] : ( cP @ X1 )
=> ( cQ @ a ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( cP @ a )
=> ! [X0: $i] : ( cQ @ X0 ) )
=> ( ! [X0: $i] : ( cP @ X0 )
=> ( cQ @ a ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ( cP @ a )
=> ! [X0: $i] : ( cQ @ X0 ) )
=> ( ! [X0: $i] : ( cP @ X0 )
=> ( cQ @ a ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qJq8OhMNEU/DTF2THF_14576.p',cADDHYP1) ).
thf(f9,plain,
! [X0: $i] :
( ( ( cQ @ X0 )
= $true )
| ( ( cP @ a )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f10,plain,
( ( cQ @ a )
!= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYO134^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.25 % Computer : n012.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Feb 24 14:25:00 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.31 ---- Original DTF file ---
% 0.06/0.31 thf(spec,logic,$$dhol).
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 % File : SYO134^5 : TPTP v9.2.1. Released v4.0.0.
% 0.06/0.31 % Domain : Syntactic
% 0.06/0.31 % Problem : TPS problem from BASIC-FO-THMS
% 0.06/0.31 % Version : Especial.
% 0.06/0.31 % English :
% 0.06/0.31
% 0.06/0.31 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.06/0.31 % Source : [Bro09]
% 0.06/0.31 % Names : tps_0716 [Bro09]
% 0.06/0.31
% 0.06/0.31 % Status : Theorem
% 0.06/0.31 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.06/0.31 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.06/0.31 % Number of atoms : 4 ( 0 equ; 0 cnn)
% 0.06/0.31 % Maximal formula atoms : 4 ( 4 avg)
% 0.06/0.31 % Number of connectives : 7 ( 0 ~; 0 |; 0 &; 4 @)
% 0.06/0.31 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.06/0.31 % Maximal formula depth : 5 ( 5 avg)
% 0.06/0.31 % Number of types : 2 ( 0 usr)
% 0.06/0.31 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.06/0.31 % Number of symbols : 3 ( 3 usr; 1 con; 0-1 aty)
% 0.06/0.31 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.06/0.31 % SPC : TH0_THM_NEQ_NAR
% 0.06/0.31
% 0.06/0.31 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.06/0.31 % project in the Department of Mathematical Sciences at Carnegie
% 0.06/0.31 % Mellon University. Distributed under the Creative Commons copyleft
% 0.06/0.31 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 thf(a,type,
% 0.06/0.31 a: $i ).
% 0.06/0.31
% 0.06/0.31 thf(cQ,type,
% 0.06/0.31 cQ: $i > $o ).
% 0.06/0.31
% 0.06/0.31 thf(cP,type,
% 0.06/0.31 cP: $i > $o ).
% 0.06/0.31
% 0.06/0.31 thf(cADDHYP1,conjecture,
% 0.06/0.31 ( ( ( cP @ a )
% 0.06/0.31 => ! [Xx: $i] : ( cQ @ Xx ) )
% 0.06/0.31 => ( ! [Xx: $i] : ( cP @ Xx )
% 0.06/0.31 => ( cQ @ a ) ) ) ).
% 0.06/0.31
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 ------------------------
% 0.85/0.82 ---- Embedded in THF ---
% 0.85/0.82 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.85/0.82 %%% Generated on Tue Feb 24 14:25:01 EST 2026
% 0.85/0.82 %%% using '$$dhol' embedding, version 1.3.0.
% 0.85/0.82 %%% Logic specification used:
% 0.85/0.82 %%% thf(spec, logic, $$dhol).
% 0.85/0.82
% 0.85/0.82 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.qJq8OhMNEU/DTF2DTF14576.p
% See solution above
% 0.85/0.82 ------------------------
% 0.85/0.82 ---- Cleaned THF ---
% 0.85/0.82 thf(a,type,
% 0.85/0.82 a: $i ).
% 0.85/0.82
% 0.85/0.82 thf(cQ,type,
% 0.85/0.82 cQ: $i > $o ).
% 0.85/0.82
% 0.85/0.82 thf(cP,type,
% 0.85/0.82 cP: $i > $o ).
% 0.85/0.82
% 0.85/0.82 thf(cADDHYP1,conjecture,
% 0.85/0.82 ( ( ( cP @ a )
% 0.85/0.82 => ! [Xx: $i] : ( cQ @ Xx ) )
% 0.85/0.82 => ( ! [Xx: $i] : ( cP @ Xx )
% 0.85/0.82 => ( cQ @ a ) ) ) ).
% 0.85/0.82 ------------------------
% 0.85/0.83 % (14775)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_14576 for (3000ds/4Mi)
% 0.85/0.83 % (14774)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_14576 for (3000ds/183Mi)
% 0.85/0.83 % (14776)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_14576 for (3000ds/27Mi)
% 0.85/0.83 % (14777)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_14576 for (3000ds/2Mi)
% 0.85/0.83 % (14778)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_14576 for (3000ds/2Mi)
% 0.85/0.83 % (14779)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_14576 for (3000ds/275Mi)
% 0.85/0.83 % (14780)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_14576 for (3000ds/18Mi)
% 0.85/0.83 % (14774)First to succeed.
% 0.85/0.84 % (14777)Also succeeded, but the first one will report.
% 0.85/0.84 % (14778)Instruction limit reached!
% 0.85/0.84 % (14778)------------------------------
% 0.85/0.84 % (14778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.85/0.84 % (14778)Termination reason: Unknown
% 0.85/0.84 % (14778)Termination phase: Saturation
% 0.85/0.84
% 0.85/0.84 % (14778)Memory used [KB]: 5500
% 0.85/0.84 % (14778)Time elapsed: 0.002 s
% 0.85/0.84 % (14778)Instructions burned: 2 (million)
% 0.85/0.84 % (14778)------------------------------
% 0.85/0.84 % (14778)------------------------------
% 0.85/0.84 % (14775)Also succeeded, but the first one will report.
% 0.85/0.84 % (14774)Refutation found. Thanks to Tanya!
% 0.85/0.84 % SZS status Theorem for DTF2THF_14576
% 0.85/0.84 % SZS output start Proof for DTF2THF_14576
% 0.85/0.84 thf(func_def_1, type, cQ: $i > $o).
% 0.85/0.84 thf(func_def_2, type, cP: $i > $o).
% 0.85/0.84 thf(f12,plain,(
% 0.85/0.84 $false),
% 0.85/0.84 inference(subsumption_resolution,[status(thm)],[f10,f11])).
% 0.85/0.84 thf(f11,plain,(
% 0.85/0.84 ( ! [X0 : $i] : (((cQ @ X0) = $true)) )),
% 0.85/0.84 inference(subsumption_resolution,[status(thm)],[f9,f8])).
% 0.85/0.84 thf(f8,plain,(
% 0.85/0.84 ( ! [X1 : $i] : (((cP @ X1) = $true)) )),
% 0.85/0.84 inference(cnf_transformation,[status(thm)],[f7])).
% 0.85/0.84 thf(f7,plain,(
% 0.85/0.84 ((cQ @ a) != $true) & (((cP @ a) != $true) | ! [X0 : $i] : ((cQ @ X0) = $true)) & ! [X1 : $i] : ((cP @ X1) = $true)),
% 0.85/0.84 inference(flattening,[status(thm)],[f6])).
% 0.85/0.84 thf(f6,plain,(
% 0.85/0.84 (((cQ @ a) != $true) & ! [X1 : $i] : ((cP @ X1) = $true)) & (((cP @ a) != $true) | ! [X0 : $i] : ((cQ @ X0) = $true))),
% 0.85/0.84 inference(ennf_transformation,[status(thm)],[f5])).
% 0.85/0.84 thf(f5,plain,(
% 0.85/0.84 ~((((cP @ a) = $true) => ! [X0 : $i] : ((cQ @ X0) = $true)) => (! [X1 : $i] : ((cP @ X1) = $true) => ((cQ @ a) = $true)))),
% 0.85/0.84 inference(fool_elimination,[status(thm)],[f4])).
% 0.85/0.84 thf(f4,plain,(
% 0.85/0.84 ~(((cP @ a) => ! [X0 : $i] : (cQ @ X0)) => (! [X1 : $i] : (cP @ X1) => (cQ @ a)))),
% 0.85/0.84 inference(rectify,[status(thm)],[f2])).
% 0.85/0.84 thf(f2,negated_conjecture,(
% 0.85/0.84 ~(((cP @ a) => ! [X0 : $i] : (cQ @ X0)) => (! [X0 : $i] : (cP @ X0) => (cQ @ a)))),
% 0.85/0.84 inference(negated_conjecture,[status(cth)],[f1])).
% 0.85/0.84 thf(f1,conjecture,(
% 0.85/0.84 ((cP @ a) => ! [X0 : $i] : (cQ @ X0)) => (! [X0 : $i] : (cP @ X0) => (cQ @ a))),
% 0.85/0.84 file('/export/starexec/sandbox2/tmp/tmp.qJq8OhMNEU/DTF2THF_14576.p',cADDHYP1)).
% 0.85/0.84 thf(f9,plain,(
% 0.85/0.84 ( ! [X0 : $i] : (((cQ @ X0) = $true) | ((cP @ a) != $true)) )),
% 0.85/0.84 inference(cnf_transformation,[status(thm)],[f7])).
% 0.85/0.84 thf(f10,plain,(
% 0.85/0.84 ((cQ @ a) != $true)),
% 0.85/0.84 inference(cnf_transformation,[status(thm)],[f7])).
% 0.85/0.84 % SZS output end Proof for DTF2THF_14576
% 0.85/0.84 % (14774)------------------------------
% 0.85/0.84 % (14774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.85/0.84 % (14774)Termination reason: Refutation
% 0.85/0.84
% 0.85/0.84 % (14774)Memory used [KB]: 5373
% 0.85/0.84 % (14774)Time elapsed: 0.002 s
% 0.85/0.84 % (14774)------------------------------
% 0.85/0.84 % (14774)------------------------------
% 0.85/0.84 % (14773)Success in time 0.01 s
%------------------------------------------------------------------------------