%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO149^5 : 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 09:53:30 AM UTC 2026
% Result : Theorem 1.53s 1.26s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 127 ( 30 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 114 ( 18 ~; 8 |; 14 &; 62 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
f: $i > $i ).
thf(func_def_2,type,
cP: $i > $o ).
thf(func_def_3,type,
cQ: $i > $o ).
thf(f16,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f15,f9]) ).
thf(f9,plain,
( ( cP @ a )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ! [X0: $i] :
( ( ( cP @ X0 )
!= $true )
| ( ( cQ @ ( f @ X0 ) )
= $true ) )
& ! [X1: $i] :
( ( ( cP @ X1 )
= $true )
| ( ( cQ @ X1 )
!= $true ) )
& ( ( cP @ a )
= $true )
& ( ( cP @ ( f @ a ) )
!= $true ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ( cP @ ( f @ a ) )
!= $true )
& ! [X0: $i] :
( ( ( cP @ X0 )
!= $true )
| ( ( cQ @ ( f @ X0 ) )
= $true ) )
& ! [X1: $i] :
( ( ( cP @ X1 )
= $true )
| ( ( cQ @ X1 )
!= $true ) )
& ( ( cP @ a )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: $i] :
( ( ( cP @ X0 )
= $true )
=> ( ( cQ @ ( f @ X0 ) )
= $true ) )
& ! [X1: $i] :
( ( ( cQ @ X1 )
= $true )
=> ( ( cP @ X1 )
= $true ) )
& ( ( cP @ a )
= $true ) )
=> ( ( cP @ ( f @ a ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ( cP @ a )
& ! [X0: $i] :
( ( cP @ X0 )
=> ( cQ @ ( f @ X0 ) ) )
& ! [X1: $i] :
( ( cQ @ X1 )
=> ( cP @ X1 ) ) )
=> ( cP @ ( f @ a ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( cP @ a )
& ! [X0: $i] :
( ( cP @ X0 )
=> ( cQ @ ( f @ X0 ) ) )
& ! [X1: $i] :
( ( cQ @ X1 )
=> ( cP @ X1 ) ) )
=> ( cP @ ( f @ a ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ( cP @ a )
& ! [X0: $i] :
( ( cP @ X0 )
=> ( cQ @ ( f @ X0 ) ) )
& ! [X1: $i] :
( ( cQ @ X1 )
=> ( cP @ X1 ) ) )
=> ( cP @ ( f @ a ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ECII34fjhd/DTF2THF_27695.p',cSIMPLEPQ) ).
thf(f15,plain,
( ( cP @ a )
!= $true ),
inference(trivial_inequality_removal,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ( cP @ a )
!= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f13,f11]) ).
thf(f11,plain,
! [X0: $i] :
( ( ( cQ @ ( f @ X0 ) )
= $true )
| ( ( cP @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f13,plain,
( ( cQ @ ( f @ a ) )
!= $true ),
inference(trivial_inequality_removal,[status(thm)],[f12]) ).
thf(f12,plain,
( ( ( cQ @ ( f @ a ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f8,f10]) ).
thf(f10,plain,
! [X1: $i] :
( ( ( cP @ X1 )
= $true )
| ( ( cQ @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f8,plain,
( ( cP @ ( f @ a ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO149^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.32 % Computer : n029.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Feb 24 14:24:59 EST 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.26/0.43 ---- Original DTF file ---
% 0.26/0.43 thf(spec,logic,$$dhol).
% 0.26/0.43 %------------------------------------------------------------------------------
% 0.26/0.43 % File : SYO149^5 : TPTP v9.2.1. Released v4.0.0.
% 0.26/0.43 % Domain : Syntactic
% 0.26/0.43 % Problem : TPS problem from BASIC-FO-THMS
% 0.26/0.43 % Version : Especial.
% 0.26/0.43 % English :
% 0.26/0.43
% 0.26/0.43 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.26/0.43 % Source : [Bro09]
% 0.26/0.43 % Names : tps_0802 [Bro09]
% 0.26/0.43
% 0.26/0.43 % Status : Theorem
% 0.26/0.43 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.26/0.43 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.26/0.43 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.26/0.43 % Maximal formula atoms : 6 ( 6 avg)
% 0.26/0.43 % Number of connectives : 13 ( 0 ~; 0 |; 2 &; 8 @)
% 0.26/0.43 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.26/0.43 % Maximal formula depth : 7 ( 7 avg)
% 0.26/0.43 % Number of types : 2 ( 0 usr)
% 0.26/0.43 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.26/0.43 % Number of symbols : 4 ( 4 usr; 1 con; 0-1 aty)
% 0.26/0.43 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.26/0.43 % SPC : TH0_THM_NEQ_NAR
% 0.26/0.43
% 0.26/0.43 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.26/0.43 % project in the Department of Mathematical Sciences at Carnegie
% 0.26/0.43 % Mellon University. Distributed under the Creative Commons copyleft
% 0.26/0.43 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.26/0.43 %------------------------------------------------------------------------------
% 0.26/0.43 thf(a,type,
% 0.26/0.43 a: $i ).
% 0.26/0.43
% 0.26/0.43 thf(f,type,
% 0.26/0.43 f: $i > $i ).
% 0.26/0.43
% 0.26/0.43 thf(cP,type,
% 0.26/0.43 cP: $i > $o ).
% 0.26/0.43
% 0.26/0.43 thf(cQ,type,
% 0.26/0.43 cQ: $i > $o ).
% 0.26/0.43
% 0.26/0.43 thf(cSIMPLEPQ,conjecture,
% 0.26/0.43 ( ( ! [Xx: $i] :
% 0.26/0.43 ( ( cP @ Xx )
% 0.26/0.43 => ( cQ @ ( f @ Xx ) ) )
% 0.26/0.43 & ! [Xy: $i] :
% 0.26/0.43 ( ( cQ @ Xy )
% 0.26/0.43 => ( cP @ Xy ) )
% 0.26/0.43 & ( cP @ a ) )
% 0.26/0.43 => ( cP @ ( f @ a ) ) ) ).
% 0.26/0.43
% 0.26/0.43 %------------------------------------------------------------------------------
% 0.26/0.43 ------------------------
% 1.53/1.23 ---- Embedded in THF ---
% 1.53/1.23 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.53/1.23 %%% Generated on Tue Feb 24 14:25:00 EST 2026
% 1.53/1.23 %%% using '$$dhol' embedding, version 1.3.0.
% 1.53/1.23 %%% Logic specification used:
% 1.53/1.23 %%% thf(spec, logic, $$dhol).
% 1.53/1.23
% 1.53/1.23 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.ECII34fjhd/DTF2DTF27695.p
% See solution above
% 1.53/1.23 ------------------------
% 1.53/1.24 ---- Cleaned THF ---
% 1.53/1.24 thf(a,type,
% 1.53/1.24 a: $i ).
% 1.53/1.24
% 1.53/1.24 thf(f,type,
% 1.53/1.24 f: $i > $i ).
% 1.53/1.24
% 1.53/1.24 thf(cP,type,
% 1.53/1.24 cP: $i > $o ).
% 1.53/1.24
% 1.53/1.24 thf(cQ,type,
% 1.53/1.24 cQ: $i > $o ).
% 1.53/1.24
% 1.53/1.24 thf(cSIMPLEPQ,conjecture,
% 1.53/1.24 ( ( ! [Xx: $i] :
% 1.53/1.24 ( ( cP @ Xx )
% 1.53/1.24 => ( cQ @ ( f @ Xx ) ) )
% 1.53/1.24 & ! [Xy: $i] :
% 1.53/1.24 ( ( cQ @ Xy )
% 1.53/1.24 => ( cP @ Xy ) )
% 1.53/1.24 & ( cP @ a ) )
% 1.53/1.24 => ( cP @ ( f @ a ) ) ) ).
% 1.53/1.24 ------------------------
% 1.53/1.26 % (27889)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_27695 for (2999ds/275Mi)
% 1.53/1.26 % (27888)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_27695 for (2999ds/2Mi)
% 1.53/1.26 % (27884)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27695 for (2999ds/183Mi)
% 1.53/1.26 % (27886)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_27695 for (2999ds/27Mi)
% 1.53/1.26 % (27889)First to succeed.
% 1.53/1.26 % (27888)Instruction limit reached!
% 1.53/1.26 % (27888)------------------------------
% 1.53/1.26 % (27888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.26 % (27888)Termination reason: Unknown
% 1.53/1.26 % (27888)Termination phase: Saturation
% 1.53/1.26
% 1.53/1.26 % (27888)Memory used [KB]: 5500
% 1.53/1.26 % (27888)Time elapsed: 0.003 s
% 1.53/1.26 % (27888)Instructions burned: 4 (million)
% 1.53/1.26 % (27888)------------------------------
% 1.53/1.26 % (27888)------------------------------
% 1.53/1.26 % (27884)Also succeeded, but the first one will report.
% 1.53/1.26 % (27886)Also succeeded, but the first one will report.
% 1.53/1.26 % (27889)Refutation found. Thanks to Tanya!
% 1.53/1.26 % SZS status Theorem for DTF2THF_27695
% 1.53/1.26 % SZS output start Proof for DTF2THF_27695
% 1.53/1.26 thf(func_def_1, type, f: $i > $i).
% 1.53/1.26 thf(func_def_2, type, cP: $i > $o).
% 1.53/1.26 thf(func_def_3, type, cQ: $i > $o).
% 1.53/1.26 thf(f16,plain,(
% 1.53/1.26 $false),
% 1.53/1.26 inference(subsumption_resolution,[status(thm)],[f15,f9])).
% 1.53/1.26 thf(f9,plain,(
% 1.53/1.26 ((cP @ a) = $true)),
% 1.53/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 1.53/1.26 thf(f7,plain,(
% 1.53/1.26 ! [X0 : $i] : (((cP @ X0) != $true) | ((cQ @ (f @ X0)) = $true)) & ! [X1 : $i] : (((cP @ X1) = $true) | ((cQ @ X1) != $true)) & ((cP @ a) = $true) & ((cP @ (f @ a)) != $true)),
% 1.53/1.26 inference(flattening,[status(thm)],[f6])).
% 1.53/1.26 thf(f6,plain,(
% 1.53/1.26 ((cP @ (f @ a)) != $true) & (! [X0 : $i] : (((cP @ X0) != $true) | ((cQ @ (f @ X0)) = $true)) & ! [X1 : $i] : (((cP @ X1) = $true) | ((cQ @ X1) != $true)) & ((cP @ a) = $true))),
% 1.53/1.26 inference(ennf_transformation,[status(thm)],[f5])).
% 1.53/1.26 thf(f5,plain,(
% 1.53/1.26 ~((! [X0 : $i] : (((cP @ X0) = $true) => ((cQ @ (f @ X0)) = $true)) & ! [X1 : $i] : (((cQ @ X1) = $true) => ((cP @ X1) = $true)) & ((cP @ a) = $true)) => ((cP @ (f @ a)) = $true))),
% 1.53/1.26 inference(fool_elimination,[status(thm)],[f4])).
% 1.53/1.26 thf(f4,plain,(
% 1.53/1.26 ~(((cP @ a) & ! [X0 : $i] : ((cP @ X0) => (cQ @ (f @ X0))) & ! [X1 : $i] : ((cQ @ X1) => (cP @ X1))) => (cP @ (f @ a)))),
% 1.53/1.26 inference(rectify,[status(thm)],[f2])).
% 1.53/1.26 thf(f2,negated_conjecture,(
% 1.53/1.26 ~(((cP @ a) & ! [X0 : $i] : ((cP @ X0) => (cQ @ (f @ X0))) & ! [X1 : $i] : ((cQ @ X1) => (cP @ X1))) => (cP @ (f @ a)))),
% 1.53/1.26 inference(negated_conjecture,[status(cth)],[f1])).
% 1.53/1.26 thf(f1,conjecture,(
% 1.53/1.26 ((cP @ a) & ! [X0 : $i] : ((cP @ X0) => (cQ @ (f @ X0))) & ! [X1 : $i] : ((cQ @ X1) => (cP @ X1))) => (cP @ (f @ a))),
% 1.53/1.26 file('/export/starexec/sandbox/tmp/tmp.ECII34fjhd/DTF2THF_27695.p',cSIMPLEPQ)).
% 1.53/1.26 thf(f15,plain,(
% 1.53/1.26 ((cP @ a) != $true)),
% 1.53/1.26 inference(trivial_inequality_removal,[status(thm)],[f14])).
% 1.53/1.26 thf(f14,plain,(
% 1.53/1.26 ((cP @ a) != $true) | ($true != $true)),
% 1.53/1.26 inference(superposition,[status(thm)],[f13,f11])).
% 1.53/1.26 thf(f11,plain,(
% 1.53/1.26 ( ! [X0 : $i] : (((cQ @ (f @ X0)) = $true) | ((cP @ X0) != $true)) )),
% 1.53/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 1.53/1.26 thf(f13,plain,(
% 1.53/1.26 ((cQ @ (f @ a)) != $true)),
% 1.53/1.26 inference(trivial_inequality_removal,[status(thm)],[f12])).
% 1.53/1.26 thf(f12,plain,(
% 1.53/1.26 ((cQ @ (f @ a)) != $true) | ($true != $true)),
% 1.53/1.26 inference(superposition,[status(thm)],[f8,f10])).
% 1.53/1.26 thf(f10,plain,(
% 1.53/1.26 ( ! [X1 : $i] : (((cP @ X1) = $true) | ((cQ @ X1) != $true)) )),
% 1.53/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 1.53/1.26 thf(f8,plain,(
% 1.53/1.26 ((cP @ (f @ a)) != $true)),
% 1.53/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 1.53/1.26 % SZS output end Proof for DTF2THF_27695
% 1.53/1.26 % (27889)------------------------------
% 1.53/1.26 % (27889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.26 % (27889)Termination reason: Refutation
% 1.53/1.26
% 1.53/1.26 % (27889)Memory used [KB]: 5500
% 1.53/1.26 % (27889)Time elapsed: 0.002 s
% 1.53/1.26 % (27889)Instructions burned: 1 (million)
% 1.53/1.26 % (27889)------------------------------
% 1.53/1.26 % (27889)------------------------------
% 1.53/1.26 % (27883)Success in time 0.012 s
%------------------------------------------------------------------------------