%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO194^5 : 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 : n002.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 09:53:38 AM UTC 2026
% Result : Theorem 1.62s 1.32s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 14 ( 6 ~; 0 |; 0 &; 7 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 7 !; 4 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_5,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f8,plain,
$false,
inference(equality_resolution,[status(thm)],[f7]) ).
thf(f7,plain,
! [X1: $i > $i] :
( sK0
!= ( X1 @ sK0 ) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
! [X1: $i > $i] :
( sK0
!= ( X1 @ sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
thf(f5,plain,
( ? [X0: $i] :
! [X1: $i > $i] :
( ( X1 @ X0 )
!= X0 )
=> ! [X1: $i > $i] :
( sK0
!= ( X1 @ sK0 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f4,plain,
? [X0: $i] :
! [X1: $i > $i] :
( ( X1 @ X0 )
!= X0 ),
inference(ennf_transformation,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: $i] :
? [X1: $i > $i] :
( ( X1 @ X0 )
= X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: $i] :
? [X1: $i > $i] :
( ( X1 @ X0 )
= X0 ),
file('/export/starexec/sandbox/tmp/tmp.xHmQcDCtRW/DTF2THF_13984.p',cCT23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO194^5 : 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
% 0.15/0.34 % Computer : n002.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 14:26:18 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.47 ---- Original DTF file ---
% 0.29/0.47 thf(spec,logic,$$dhol).
% 0.29/0.47 %------------------------------------------------------------------------------
% 0.29/0.47 % File : SYO194^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.47 % Domain : Syntactic
% 0.29/0.47 % Problem : TPS problem CT23
% 0.29/0.47 % Version : Especial.
% 0.29/0.47 % English :
% 0.29/0.47
% 0.29/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.47 % Source : [Bro09]
% 0.29/0.47 % Names : tps_0025 [Bro09]
% 0.29/0.47 % : CT23 [TPS]
% 0.29/0.47
% 0.29/0.47 % Status : Theorem
% 0.29/0.47 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.14 v7.4.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.29/0.47 % Syntax : Number of formulae : 1 ( 1 unt; 0 typ; 0 def)
% 0.29/0.47 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.29/0.47 % Maximal formula atoms : 1 ( 1 avg)
% 0.29/0.47 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 1 @)
% 0.29/0.47 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.47 % Maximal formula depth : 3 ( 3 avg)
% 0.29/0.47 % Number of types : 1 ( 0 usr)
% 0.29/0.47 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.29/0.47 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.29/0.47 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.29/0.47 % SPC : TH0_THM_EQU_NAR
% 0.29/0.47
% 0.29/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.47 %------------------------------------------------------------------------------
% 0.29/0.47 thf(cCT23,conjecture,
% 0.29/0.47 ! [Xx: $i] :
% 0.29/0.47 ? [Xf: $i > $i] :
% 0.29/0.47 ( ( Xf @ Xx )
% 0.29/0.47 = Xx ) ).
% 0.29/0.47
% 0.29/0.47 %------------------------------------------------------------------------------
% 0.29/0.47 ------------------------
% 1.44/1.29 ---- Embedded in THF ---
% 1.44/1.29 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.44/1.29 %%% Generated on Tue Feb 24 14:26:19 EST 2026
% 1.44/1.29 %%% using '$$dhol' embedding, version 1.3.0.
% 1.44/1.29 %%% Logic specification used:
% 1.44/1.29 %%% thf(spec, logic, $$dhol).
% 1.44/1.29
% 1.44/1.29 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.xHmQcDCtRW/DTF2DTF13984.p
% See solution above
% 1.44/1.29 ------------------------
% 1.62/1.30 ---- Cleaned THF ---
% 1.62/1.30 thf(cCT23,conjecture,
% 1.62/1.30 ! [Xx: $i] :
% 1.62/1.30 ? [Xf: $i > $i] :
% 1.62/1.30 ( ( Xf @ Xx )
% 1.62/1.30 = Xx ) ).
% 1.62/1.30 ------------------------
% 1.62/1.31 % (14310)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_13984 for (3000ds/2Mi)
% 1.62/1.31 % (14310)Instruction limit reached!
% 1.62/1.31 % (14310)------------------------------
% 1.62/1.31 % (14310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.31 % (14310)Termination reason: Unknown
% 1.62/1.31 % (14310)Termination phase: Saturation
% 1.62/1.31
% 1.62/1.31 % (14310)Memory used [KB]: 5500
% 1.62/1.31 % (14310)Time elapsed: 0.002 s
% 1.62/1.31 % (14310)Instructions burned: 2 (million)
% 1.62/1.31 % (14310)------------------------------
% 1.62/1.31 % (14310)------------------------------
% 1.62/1.32 % (14311)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_13984 for (3000ds/275Mi)
% 1.62/1.32 % (14311)Refutation not found, incomplete strategy
% 1.62/1.32 % (14311)------------------------------
% 1.62/1.32 % (14311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (14311)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.32
% 1.62/1.32
% 1.62/1.32 % (14311)Memory used [KB]: 5373
% 1.62/1.32 % (14311)Time elapsed: 0.002 s
% 1.62/1.32 % (14311)Instructions burned: 1 (million)
% 1.62/1.32 % (14311)------------------------------
% 1.62/1.32 % (14311)------------------------------
% 1.62/1.32 % (14307)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_13984 for (3000ds/4Mi)
% 1.62/1.32 % (14306)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_13984 for (3000ds/183Mi)
% 1.62/1.32 % (14309)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_13984 for (3000ds/2Mi)
% 1.62/1.32 % (14308)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_13984 for (3000ds/27Mi)
% 1.62/1.32 % (14312)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_13984 for (3000ds/18Mi)
% 1.62/1.32 % (14307)First to succeed.
% 1.62/1.32 % (14309)Refutation not found, incomplete strategy
% 1.62/1.32 % (14309)------------------------------
% 1.62/1.32 % (14309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (14309)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.32
% 1.62/1.32
% 1.62/1.32 % (14309)Memory used [KB]: 5373
% 1.62/1.32 % (14309)Time elapsed: 0.003 s
% 1.62/1.32 % (14309)Instructions burned: 1 (million)
% 1.62/1.32 % (14309)------------------------------
% 1.62/1.32 % (14309)------------------------------
% 1.62/1.32 % (14308)Refutation not found, incomplete strategy
% 1.62/1.32 % (14308)------------------------------
% 1.62/1.32 % (14308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (14308)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.32
% 1.62/1.32
% 1.62/1.32 % (14308)Memory used [KB]: 5373
% 1.62/1.32 % (14308)Time elapsed: 0.003 s
% 1.62/1.32 % (14308)Instructions burned: 1 (million)
% 1.62/1.32 % (14308)------------------------------
% 1.62/1.32 % (14308)------------------------------
% 1.62/1.32 % (14306)Also succeeded, but the first one will report.
% 1.62/1.32 % (14307)Refutation found. Thanks to Tanya!
% 1.62/1.32 % SZS status Theorem for DTF2THF_13984
% 1.62/1.32 % SZS output start Proof for DTF2THF_13984
% 1.62/1.32 thf(func_def_5, type, ph2: !>[X0: $tType]:(X0)).
% 1.62/1.32 thf(f8,plain,(
% 1.62/1.32 $false),
% 1.62/1.32 inference(equality_resolution,[status(thm)],[f7])).
% 1.62/1.32 thf(f7,plain,(
% 1.62/1.32 ( ! [X1 : $i > $i] : ((sK0 != (X1 @ sK0))) )),
% 1.62/1.32 inference(cnf_transformation,[status(thm)],[f6])).
% 1.62/1.32 thf(f6,plain,(
% 1.62/1.32 ! [X1 : $i > $i] : (sK0 != (X1 @ sK0))),
% 1.62/1.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5])).
% 1.62/1.32 thf(f5,plain,(
% 1.62/1.32 ? [X0 : $i] : ! [X1 : $i > $i] : ((X1 @ X0) != X0) => ! [X1 : $i > $i] : (sK0 != (X1 @ sK0))),
% 1.62/1.32 introduced(definition,[],[choice_axiom])).
% 1.62/1.32 thf(f4,plain,(
% 1.62/1.32 ? [X0 : $i] : ! [X1 : $i > $i] : ((X1 @ X0) != X0)),
% 1.62/1.32 inference(ennf_transformation,[status(thm)],[f2])).
% 1.62/1.32 thf(f2,negated_conjecture,(
% 1.62/1.32 ~! [X0 : $i] : ? [X1 : $i > $i] : ((X1 @ X0) = X0)),
% 1.62/1.32 inference(negated_conjecture,[status(cth)],[f1])).
% 1.62/1.32 thf(f1,conjecture,(
% 1.62/1.32 ! [X0 : $i] : ? [X1 : $i > $i] : ((X1 @ X0) = X0)),
% 1.62/1.32 file('/export/starexec/sandbox/tmp/tmp.xHmQcDCtRW/DTF2THF_13984.p',cCT23)).
% 1.62/1.32 % SZS output end Proof for DTF2THF_13984
% 1.62/1.32 % (14307)------------------------------
% 1.62/1.32 % (14307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (14307)Termination reason: Refutation
% 1.62/1.32
% 1.62/1.32 % (14307)Memory used [KB]: 5373
% 1.62/1.32 % (14307)Time elapsed: 0.003 s
% 1.62/1.32 % (14307)Instructions burned: 1 (million)
% 1.62/1.32 % (14307)------------------------------
% 1.62/1.32 % (14307)------------------------------
% 1.62/1.32 % (14305)Success in time 0.017 s
%------------------------------------------------------------------------------