%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU995^5 : 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 : n027.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 09:37:55 AM UTC 2026
% Result : Theorem 1.47s 1.28s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 35 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 141 ( 30 ~; 8 |; 2 &; 97 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 118 ( 118 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 14 ^; 52 !; 4 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_5,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_6,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_14,type,
sP2: $i > $o ).
thf(func_def_15,type,
sP3: $o > $o ).
thf(func_def_17,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f137,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f136]) ).
thf(f136,plain,
cU != cU,
inference(beta_eta_normalization,[status(thm)],[f127]) ).
thf(f127,plain,
! [X3: $i,X5: ( $i > $i ) > ( $i > $i ) > $i > $i] :
( cU
!= ( ^ [Y0: $i] : cU
@ ( X5
@ ^ [Y0: $i] : cU
@ ^ [Y0: $i] : cV
@ X3 ) ) ),
inference(imitate,[status(thm)],[f126]) ).
thf(f126,plain,
! [X3: $i,X1: $i > $i,X5: ( $i > $i ) > ( $i > $i ) > $i > $i] :
( cU
!= ( X1
@ ( X5 @ X1
@ ^ [Y0: $i] : cV
@ X3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f125]) ).
thf(f125,plain,
! [X3: $i,X1: $i > $i,X5: ( $i > $i ) > ( $i > $i ) > $i > $i] :
( ( cV != cV )
| ( cU
!= ( X1
@ ( X5 @ X1
@ ^ [Y0: $i] : cV
@ X3 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f118]) ).
thf(f118,plain,
! [X3: $i,X1: $i > $i,X5: ( $i > $i ) > ( $i > $i ) > $i > $i] :
( ( cV
!= ( ^ [Y0: $i] : cV
@ ( X5
@ ^ [Y0: $i] : cV
@ X1
@ X3 ) ) )
| ( cU
!= ( X1
@ ( X5 @ X1
@ ^ [Y0: $i] : cV
@ X3 ) ) ) ),
inference(imitate,[status(thm)],[f61]) ).
thf(f61,plain,
! [X2: $i > $i,X3: $i,X1: $i > $i,X5: ( $i > $i ) > ( $i > $i ) > $i > $i] :
( ( cV
!= ( X2 @ ( X5 @ X2 @ X1 @ X3 ) ) )
| ( cU
!= ( X1 @ ( X5 @ X1 @ X2 @ X3 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: $i > $i,X3: $i,X1: $i > $i,X5: ( $i > $i ) > ( $i > $i ) > $i > $i] :
( ( cV
!= ( ^ [Y0: $i > $i,Y1: $i > $i,Y2: $i] : ( Y0 @ ( X5 @ Y0 @ Y1 @ Y2 ) )
@ X2
@ X1
@ X3 ) )
| ( cU
!= ( ^ [Y0: $i > $i,Y1: $i > $i,Y2: $i] : ( Y0 @ ( X5 @ Y0 @ Y1 @ Y2 ) )
@ X1
@ X2
@ X3 ) ) ),
inference(project,[status(thm)],[f48]) ).
thf(f48,plain,
! [X2: $i > $i,X3: $i,X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i] :
( ( cV
!= ( X0 @ X2 @ X1 @ X3 ) )
| ( cU
!= ( X0 @ X1 @ X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: $i > $i,X3: $i,X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i] :
( ( cU
!= ( X0 @ X1 @ X2 @ X3 ) )
| ( $true = $false )
| ( cV
!= ( X0 @ X2 @ X1 @ X3 ) ) ),
inference(constrained_superposition,[status(thm)],[f27,f40]) ).
thf(f40,plain,
! [X2: $i > $i,X3: $i,X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i] :
( ( ( sP2 @ ( X0 @ X2 @ X1 @ X3 ) )
= $true )
| ( cV
!= ( X0 @ X1 @ X2 @ X3 ) ) ),
inference(constrained_superposition,[status(thm)],[f28,f31]) ).
thf(f31,plain,
! [X2: $i > $i,X3: $i,X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i] :
( ( X0 @ X2 @ X1 @ X3 )
= ( X0 @ X1 @ X2 @ X3 ) ),
inference(argument_congruence,[status(thm)],[f25]) ).
thf(f25,plain,
! [X2: $i > $i,X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( ( cU != cV )
& ! [X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i,X2: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) ) ),
inference(flattening,[status(thm)],[f23]) ).
thf(f23,plain,
( ! [X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X2: $i > $i,X1: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) )
& ( cU != cV ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( cU != cV )
=> ? [X0: ( $i > $i ) > ( $i > $i ) > $i > $i] :
~ ! [X2: $i > $i,X1: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( cU != cV )
=> ? [X0: ( $i > $i ) > ( $i > $i ) > $i > $i] :
~ ! [X1: $i > $i,X2: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( cU != cV )
=> ? [X0: ( $i > $i ) > ( $i > $i ) > $i > $i] :
~ ! [X2: $i > $i,X1: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( cU != cV )
=> ? [X0: ( $i > $i ) > ( $i > $i ) > $i > $i] :
~ ! [X2: $i > $i,X1: $i > $i] :
( ( X0 @ X1 @ X2 )
= ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IonTcmBj8x/DTF2THF_13517.p',cTHM24_pme) ).
thf(f28,plain,
( $true
= ( sP2 @ cV ) ),
inference(inequality_splitting,[status(thm)],[f26,f27]) ).
thf(f26,plain,
cU != cV,
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f27,plain,
( $false
= ( sP2 @ cU ) ),
introduced(definition,[new_symbols(naming,[sP2])],[inequality_splitting_name_introduction]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU995^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n027.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 12:38:52 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SEU995^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.46 % Domain : Set Theory (Relations)
% 0.29/0.46 % Problem : TPS problem THM24
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Bro09]
% 0.29/0.46 % Names : tps_0103 [Bro09]
% 0.29/0.46 % : THM24 [TPS]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.33 v9.1.0, 0.25 v9.0.0, 0.30 v8.2.0, 0.54 v8.1.0, 0.36 v7.5.0, 0.14 v7.4.0, 0.22 v7.3.0, 0.33 v7.2.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.3.0, 0.60 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.29/0.46 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.29/0.46 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 2 ( 2 avg)
% 0.29/0.46 % Number of connectives : 7 ( 2 ~; 0 |; 0 &; 4 @)
% 0.29/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 6 ( 6 avg)
% 0.29/0.46 % Number of types : 1 ( 0 usr)
% 0.29/0.46 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% 0.29/0.46 % Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.46 % : Polymorphic definitions expanded.
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(cV,type,
% 0.29/0.46 cV: $i ).
% 0.29/0.46
% 0.29/0.46 thf(cU,type,
% 0.29/0.46 cU: $i ).
% 0.29/0.46
% 0.29/0.46 thf(cTHM24_pme,conjecture,
% 0.29/0.46 ( ( cU != cV )
% 0.29/0.46 => ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
% 0.29/0.46 ~ ! [Xx: $i > $i,Xy: $i > $i] :
% 0.29/0.46 ( ( G @ Xx @ Xy )
% 0.29/0.46 = ( G @ Xy @ Xx ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 1.35/1.18 ---- Embedded in THF ---
% 1.35/1.18 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.35/1.18 %%% Generated on Tue Feb 24 12:38:53 EST 2026
% 1.35/1.18 %%% using '$$dhol' embedding, version 1.3.0.
% 1.35/1.18 %%% Logic specification used:
% 1.35/1.18 %%% thf(spec, logic, $$dhol).
% 1.35/1.18
% 1.35/1.18 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.IonTcmBj8x/DTF2DTF13517.p
% See solution above
% 1.35/1.18 ------------------------
% 1.35/1.19 ---- Cleaned THF ---
% 1.35/1.19 thf(cV,type,
% 1.35/1.19 cV: $i ).
% 1.35/1.19
% 1.35/1.19 thf(cU,type,
% 1.35/1.19 cU: $i ).
% 1.35/1.19
% 1.35/1.19 thf(cTHM24_pme,conjecture,
% 1.35/1.19 ( ( cU != cV )
% 1.35/1.19 => ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
% 1.35/1.19 ~ ! [Xx: $i > $i,Xy: $i > $i] :
% 1.35/1.19 ( ( G @ Xx @ Xy )
% 1.35/1.19 = ( G @ Xy @ Xx ) ) ) ).
% 1.35/1.19 ------------------------
% 1.47/1.20 % (13723)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/2Mi)
% 1.47/1.21 % (13721)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_13517 for (2999ds/4Mi)
% 1.47/1.21 % (13723)Refutation not found, incomplete strategy
% 1.47/1.21 % (13723)------------------------------
% 1.47/1.21 % (13723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.21 % (13723)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.21
% 1.47/1.21
% 1.47/1.21 % (13723)Memory used [KB]: 5500
% 1.47/1.21 % (13723)Time elapsed: 0.002 s
% 1.47/1.21 % (13723)Instructions burned: 1 (million)
% 1.47/1.21 % (13723)------------------------------
% 1.47/1.21 % (13723)------------------------------
% 1.47/1.21 % (13721)Instruction limit reached!
% 1.47/1.21 % (13721)------------------------------
% 1.47/1.21 % (13721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.21 % (13721)Termination reason: Unknown
% 1.47/1.21 % (13721)Termination phase: Saturation
% 1.47/1.21
% 1.47/1.21 % (13721)Memory used [KB]: 5500
% 1.47/1.21 % (13721)Time elapsed: 0.003 s
% 1.47/1.21 % (13721)Instructions burned: 5 (million)
% 1.47/1.21 % (13721)------------------------------
% 1.47/1.21 % (13721)------------------------------
% 1.47/1.21 % (13720)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/183Mi)
% 1.47/1.21 % (13722)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_13517 for (2999ds/27Mi)
% 1.47/1.21 % (13724)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_13517 for (2999ds/2Mi)
% 1.47/1.21 % (13726)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/18Mi)
% 1.47/1.21 % (13722)Refutation not found, incomplete strategy
% 1.47/1.21 % (13722)------------------------------
% 1.47/1.21 % (13722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.21 % (13722)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.21
% 1.47/1.21
% 1.47/1.21 % (13722)Memory used [KB]: 5500
% 1.47/1.21 % (13722)Time elapsed: 0.004 s
% 1.47/1.21 % (13722)Instructions burned: 2 (million)
% 1.47/1.21 % (13722)------------------------------
% 1.47/1.21 % (13722)------------------------------
% 1.47/1.21 % (13724)Instruction limit reached!
% 1.47/1.21 % (13724)------------------------------
% 1.47/1.21 % (13724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.21 % (13724)Termination reason: Unknown
% 1.47/1.21 % (13724)Termination phase: Saturation
% 1.47/1.21
% 1.47/1.21 % (13724)Memory used [KB]: 5500
% 1.47/1.21 % (13724)Time elapsed: 0.003 s
% 1.47/1.21 % (13724)Instructions burned: 2 (million)
% 1.47/1.21 % (13724)------------------------------
% 1.47/1.21 % (13724)------------------------------
% 1.47/1.22 % (13727)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/3Mi)
% 1.47/1.22 % (13727)Instruction limit reached!
% 1.47/1.22 % (13727)------------------------------
% 1.47/1.22 % (13727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.22 % (13727)Termination reason: Unknown
% 1.47/1.22 % (13727)Termination phase: Saturation
% 1.47/1.22
% 1.47/1.22 % (13727)Memory used [KB]: 5500
% 1.47/1.22 % (13727)Time elapsed: 0.002 s
% 1.47/1.22 % (13727)Instructions burned: 3 (million)
% 1.47/1.22 % (13727)------------------------------
% 1.47/1.22 % (13727)------------------------------
% 1.47/1.22 % (13725)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_13517 for (2999ds/275Mi)
% 1.47/1.22 % (13728)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/37Mi)
% 1.47/1.22 % (13725)Refutation not found, incomplete strategy
% 1.47/1.22 % (13725)------------------------------
% 1.47/1.22 % (13725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.22 % (13725)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.22
% 1.47/1.22
% 1.47/1.22 % (13725)Memory used [KB]: 5500
% 1.47/1.22 % (13725)Time elapsed: 0.003 s
% 1.47/1.22 % (13725)Instructions burned: 2 (million)
% 1.47/1.22 % (13725)------------------------------
% 1.47/1.22 % (13725)------------------------------
% 1.47/1.22 % (13726)Instruction limit reached!
% 1.47/1.22 % (13726)------------------------------
% 1.47/1.22 % (13726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.22 % (13726)Termination reason: Unknown
% 1.47/1.22 % (13726)Termination phase: Saturation
% 1.47/1.22
% 1.47/1.22 % (13726)Memory used [KB]: 5500
% 1.47/1.22 % (13726)Time elapsed: 0.012 s
% 1.47/1.22 % (13726)Instructions burned: 18 (million)
% 1.47/1.22 % (13726)------------------------------
% 1.47/1.22 % (13726)------------------------------
% 1.47/1.23 % (13731)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/1041Mi)
% 1.47/1.23 % (13731)Refutation not found, incomplete strategy
% 1.47/1.23 % (13731)------------------------------
% 1.47/1.23 % (13731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.23 % (13731)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.23
% 1.47/1.23
% 1.47/1.23 % (13731)Memory used [KB]: 5500
% 1.47/1.23 % (13731)Time elapsed: 0.003 s
% 1.47/1.23 % (13731)Instructions burned: 6 (million)
% 1.47/1.23 % (13731)------------------------------
% 1.47/1.23 % (13731)------------------------------
% 1.47/1.23 % (13728)Instruction limit reached!
% 1.47/1.23 % (13728)------------------------------
% 1.47/1.23 % (13728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.23 % (13728)Termination reason: Unknown
% 1.47/1.23 % (13728)Termination phase: Saturation
% 1.47/1.23
% 1.47/1.23 % (13728)Memory used [KB]: 5756
% 1.47/1.23 % (13728)Time elapsed: 0.014 s
% 1.47/1.23 % (13728)Instructions burned: 39 (million)
% 1.47/1.23 % (13728)------------------------------
% 1.47/1.23 % (13728)------------------------------
% 1.47/1.23 % (13730)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/3Mi)
% 1.47/1.23 % (13729)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/15Mi)
% 1.47/1.23 % (13730)Instruction limit reached!
% 1.47/1.23 % (13730)------------------------------
% 1.47/1.23 % (13730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.23 % (13730)Termination reason: Unknown
% 1.47/1.23 % (13730)Termination phase: Saturation
% 1.47/1.23
% 1.47/1.23 % (13730)Memory used [KB]: 5500
% 1.47/1.23 % (13730)Time elapsed: 0.004 s
% 1.47/1.23 % (13730)Instructions burned: 3 (million)
% 1.47/1.23 % (13730)------------------------------
% 1.47/1.23 % (13730)------------------------------
% 1.47/1.23 % (13729)Refutation not found, incomplete strategy
% 1.47/1.23 % (13729)------------------------------
% 1.47/1.23 % (13729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.23 % (13729)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.23
% 1.47/1.23
% 1.47/1.23 % (13729)Memory used [KB]: 5500
% 1.47/1.23 % (13729)Time elapsed: 0.003 s
% 1.47/1.23 % (13729)Instructions burned: 1 (million)
% 1.47/1.23 % (13729)------------------------------
% 1.47/1.23 % (13729)------------------------------
% 1.47/1.24 % (13732)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/7Mi)
% 1.47/1.24 % (13734)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/3Mi)
% 1.47/1.24 % (13734)Instruction limit reached!
% 1.47/1.24 % (13734)------------------------------
% 1.47/1.24 % (13734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.24 % (13734)Termination reason: Unknown
% 1.47/1.24 % (13734)Termination phase: Saturation
% 1.47/1.24
% 1.47/1.24 % (13734)Memory used [KB]: 5500
% 1.47/1.24 % (13734)Time elapsed: 0.002 s
% 1.47/1.24 % (13734)Instructions burned: 3 (million)
% 1.47/1.24 % (13734)------------------------------
% 1.47/1.24 % (13734)------------------------------
% 1.47/1.24 % (13735)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/3Mi)
% 1.47/1.24 % (13732)Instruction limit reached!
% 1.47/1.24 % (13732)------------------------------
% 1.47/1.24 % (13732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.24 % (13732)Termination reason: Unknown
% 1.47/1.24 % (13732)Termination phase: Saturation
% 1.47/1.24
% 1.47/1.24 % (13732)Memory used [KB]: 1023
% 1.47/1.24 % (13732)Time elapsed: 0.006 s
% 1.47/1.24 % (13732)Instructions burned: 7 (million)
% 1.47/1.24 % (13732)------------------------------
% 1.47/1.24 % (13732)------------------------------
% 1.47/1.24 % (13735)Instruction limit reached!
% 1.47/1.24 % (13735)------------------------------
% 1.47/1.24 % (13735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.24 % (13735)Termination reason: Unknown
% 1.47/1.24 % (13735)Termination phase: Saturation
% 1.47/1.24
% 1.47/1.24 % (13735)Memory used [KB]: 5500
% 1.47/1.24 % (13735)Time elapsed: 0.003 s
% 1.47/1.24 % (13735)Instructions burned: 3 (million)
% 1.47/1.24 % (13735)------------------------------
% 1.47/1.24 % (13735)------------------------------
% 1.47/1.24 % (13733)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/16Mi)
% 1.47/1.25 % (13738)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/4Mi)
% 1.47/1.25 % (13738)Instruction limit reached!
% 1.47/1.25 % (13738)------------------------------
% 1.47/1.25 % (13738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.25 % (13738)Termination reason: Unknown
% 1.47/1.25 % (13738)Termination phase: Saturation
% 1.47/1.25
% 1.47/1.25 % (13738)Memory used [KB]: 5500
% 1.47/1.25 % (13738)Time elapsed: 0.003 s
% 1.47/1.25 % (13738)Instructions burned: 5 (million)
% 1.47/1.25 % (13738)------------------------------
% 1.47/1.25 % (13738)------------------------------
% 1.47/1.25 % (13740)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/710Mi)
% 1.47/1.25 % (13733)Instruction limit reached!
% 1.47/1.25 % (13733)------------------------------
% 1.47/1.25 % (13733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.25 % (13733)Termination reason: Unknown
% 1.47/1.25 % (13733)Termination phase: Saturation
% 1.47/1.25
% 1.47/1.25 % (13733)Memory used [KB]: 5628
% 1.47/1.25 % (13733)Time elapsed: 0.012 s
% 1.47/1.25 % (13733)Instructions burned: 16 (million)
% 1.47/1.25 % (13733)------------------------------
% 1.47/1.25 % (13733)------------------------------
% 1.47/1.25 % (13736)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/7Mi)
% 1.47/1.25 % (13736)Refutation not found, incomplete strategy
% 1.47/1.25 % (13736)------------------------------
% 1.47/1.25 % (13736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.25 % (13736)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.25
% 1.47/1.25
% 1.47/1.25 % (13736)Memory used [KB]: 5500
% 1.47/1.25 % (13736)Time elapsed: 0.003 s
% 1.47/1.25 % (13736)Instructions burned: 2 (million)
% 1.47/1.25 % (13736)------------------------------
% 1.47/1.25 % (13736)------------------------------
% 1.47/1.25 % (13737)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/3Mi)
% 1.47/1.26 % (13737)Instruction limit reached!
% 1.47/1.26 % (13737)------------------------------
% 1.47/1.26 % (13737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.26 % (13737)Termination reason: Unknown
% 1.47/1.26 % (13737)Termination phase: Saturation
% 1.47/1.26
% 1.47/1.26 % (13737)Memory used [KB]: 5500
% 1.47/1.26 % (13737)Time elapsed: 0.005 s
% 1.47/1.26 % (13737)Instructions burned: 4 (million)
% 1.47/1.26 % (13737)------------------------------
% 1.47/1.26 % (13737)------------------------------
% 1.47/1.26 % (13739)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/18Mi)
% 1.47/1.26 % (13739)Refutation not found, incomplete strategy
% 1.47/1.26 % (13739)------------------------------
% 1.47/1.26 % (13739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.26 % (13739)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.26
% 1.47/1.26
% 1.47/1.26 % (13739)Memory used [KB]: 5500
% 1.47/1.26 % (13739)Time elapsed: 0.003 s
% 1.47/1.26 % (13739)Instructions burned: 2 (million)
% 1.47/1.26 % (13739)------------------------------
% 1.47/1.26 % (13739)------------------------------
% 1.47/1.26 % (13741)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/6Mi)
% 1.47/1.26 % (13741)Instruction limit reached!
% 1.47/1.26 % (13741)------------------------------
% 1.47/1.26 % (13741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.26 % (13741)Termination reason: Unknown
% 1.47/1.26 % (13741)Termination phase: Saturation
% 1.47/1.26
% 1.47/1.26 % (13741)Memory used [KB]: 5500
% 1.47/1.26 % (13741)Time elapsed: 0.003 s
% 1.47/1.26 % (13741)Instructions burned: 6 (million)
% 1.47/1.26 % (13741)------------------------------
% 1.47/1.26 % (13741)------------------------------
% 1.47/1.27 % (13742)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/902Mi)
% 1.47/1.27 % (13742)Refutation not found, incomplete strategy
% 1.47/1.27 % (13742)------------------------------
% 1.47/1.27 % (13742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.27 % (13742)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.27
% 1.47/1.27
% 1.47/1.27 % (13742)Memory used [KB]: 5500
% 1.47/1.27 % (13742)Time elapsed: 0.003 s
% 1.47/1.27 % (13742)Instructions burned: 2 (million)
% 1.47/1.27 % (13742)------------------------------
% 1.47/1.27 % (13742)------------------------------
% 1.47/1.27 % (13743)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/21Mi)
% 1.47/1.27 % (13746)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/377Mi)
% 1.47/1.27 % (13746)Refutation not found, incomplete strategy
% 1.47/1.27 % (13746)------------------------------
% 1.47/1.27 % (13746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.27 % (13746)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.27
% 1.47/1.27
% 1.47/1.27 % (13746)Memory used [KB]: 5500
% 1.47/1.27 % (13746)Time elapsed: 0.001 s
% 1.47/1.27 % (13746)Instructions burned: 1 (million)
% 1.47/1.27 % (13746)------------------------------
% 1.47/1.27 % (13746)------------------------------
% 1.47/1.27 % (13744)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/5Mi)
% 1.47/1.28 % (13744)Instruction limit reached!
% 1.47/1.28 % (13744)------------------------------
% 1.47/1.28 % (13744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (13744)Termination reason: Unknown
% 1.47/1.28 % (13744)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (13744)Memory used [KB]: 5500
% 1.47/1.28 % (13744)Time elapsed: 0.005 s
% 1.47/1.28 % (13744)Instructions burned: 5 (million)
% 1.47/1.28 % (13744)------------------------------
% 1.47/1.28 % (13744)------------------------------
% 1.47/1.28 % (13745)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/6Mi)
% 1.47/1.28 % (13745)Instruction limit reached!
% 1.47/1.28 % (13745)------------------------------
% 1.47/1.28 % (13745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (13745)Termination reason: Unknown
% 1.47/1.28 % (13745)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (13745)Memory used [KB]: 5500
% 1.47/1.28 % (13745)Time elapsed: 0.005 s
% 1.47/1.28 % (13745)Instructions burned: 6 (million)
% 1.47/1.28 % (13745)------------------------------
% 1.47/1.28 % (13745)------------------------------
% 1.47/1.28 % (13748)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_13517 for (2999ds/19Mi)
% 1.47/1.28 % (13748)Refutation not found, incomplete strategy
% 1.47/1.28 % (13748)------------------------------
% 1.47/1.28 % (13748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (13748)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.28
% 1.47/1.28
% 1.47/1.28 % (13748)Memory used [KB]: 5500
% 1.47/1.28 % (13748)Time elapsed: 0.002 s
% 1.47/1.28 % (13748)Instructions burned: 3 (million)
% 1.47/1.28 % (13748)------------------------------
% 1.47/1.28 % (13748)------------------------------
% 1.47/1.28 % (13743)First to succeed.
% 1.47/1.28 % (13743)Refutation found. Thanks to Tanya!
% 1.47/1.28 % SZS status Theorem for DTF2THF_13517
% 1.47/1.28 % SZS output start Proof for DTF2THF_13517
% 1.47/1.28 thf(func_def_5, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.47/1.28 thf(func_def_6, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.47/1.28 thf(func_def_14, type, sP2: $i > $o).
% 1.47/1.28 thf(func_def_15, type, sP3: $o > $o).
% 1.47/1.28 thf(func_def_17, type, ph5: !>[X0: $tType]:(X0)).
% 1.47/1.28 thf(f137,plain,(
% 1.47/1.28 $false),
% 1.47/1.28 inference(trivial_inequality_removal,[status(thm)],[f136])).
% 1.47/1.28 thf(f136,plain,(
% 1.47/1.28 (cU != cU)),
% 1.47/1.28 inference(beta_eta_normalization,[status(thm)],[f127])).
% 1.47/1.28 thf(f127,plain,(
% 1.47/1.28 ( ! [X3 : $i,X5 : ($i > $i) > ($i > $i) > $i > $i] : ((cU != ((^[Y0 : $i]: (cU)) @ (X5 @ (^[Y0 : $i]: (cU)) @ (^[Y0 : $i]: (cV)) @ X3)))) )),
% 1.47/1.28 inference(imitate,[status(thm)],[f126])).
% 1.47/1.28 thf(f126,plain,(
% 1.47/1.28 ( ! [X3 : $i,X1 : $i > $i,X5 : ($i > $i) > ($i > $i) > $i > $i] : ((cU != (X1 @ (X5 @ X1 @ (^[Y0 : $i]: (cV)) @ X3)))) )),
% 1.47/1.28 inference(trivial_inequality_removal,[status(thm)],[f125])).
% 1.47/1.28 thf(f125,plain,(
% 1.47/1.28 ( ! [X3 : $i,X1 : $i > $i,X5 : ($i > $i) > ($i > $i) > $i > $i] : ((cV != cV) | (cU != (X1 @ (X5 @ X1 @ (^[Y0 : $i]: (cV)) @ X3)))) )),
% 1.47/1.28 inference(beta_eta_normalization,[status(thm)],[f118])).
% 1.47/1.28 thf(f118,plain,(
% 1.47/1.28 ( ! [X3 : $i,X1 : $i > $i,X5 : ($i > $i) > ($i > $i) > $i > $i] : ((cV != ((^[Y0 : $i]: (cV)) @ (X5 @ (^[Y0 : $i]: (cV)) @ X1 @ X3))) | (cU != (X1 @ (X5 @ X1 @ (^[Y0 : $i]: (cV)) @ X3)))) )),
% 1.47/1.28 inference(imitate,[status(thm)],[f61])).
% 1.47/1.28 thf(f61,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X3 : $i,X1 : $i > $i,X5 : ($i > $i) > ($i > $i) > $i > $i] : ((cV != (X2 @ (X5 @ X2 @ X1 @ X3))) | (cU != (X1 @ (X5 @ X1 @ X2 @ X3)))) )),
% 1.47/1.28 inference(beta_eta_normalization,[status(thm)],[f53])).
% 1.47/1.28 thf(f53,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X3 : $i,X1 : $i > $i,X5 : ($i > $i) > ($i > $i) > $i > $i] : ((cV != ((^[Y0 : $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y0 @ (X5 @ Y0 @ Y1 @ Y2))))))) @ X2 @ X1 @ X3)) | (cU != ((^[Y0 : $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y0 @ (X5 @ Y0 @ Y1 @ Y2))))))) @ X1 @ X2 @ X3))) )),
% 1.47/1.28 inference(project,[status(thm)],[f48])).
% 1.47/1.28 thf(f48,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X3 : $i,X0 : ($i > $i) > ($i > $i) > $i > $i,X1 : $i > $i] : ((cV != (X0 @ X2 @ X1 @ X3)) | (cU != (X0 @ X1 @ X2 @ X3))) )),
% 1.47/1.28 inference(trivial_inequality_removal,[status(thm)],[f47])).
% 1.47/1.28 thf(f47,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X3 : $i,X0 : ($i > $i) > ($i > $i) > $i > $i,X1 : $i > $i] : ((cU != (X0 @ X1 @ X2 @ X3)) | ($true = $false) | (cV != (X0 @ X2 @ X1 @ X3))) )),
% 1.47/1.28 inference(constrained_superposition,[status(thm)],[f27,f40])).
% 1.47/1.28 thf(f40,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X3 : $i,X0 : ($i > $i) > ($i > $i) > $i > $i,X1 : $i > $i] : (((sP2 @ (X0 @ X2 @ X1 @ X3)) = $true) | (cV != (X0 @ X1 @ X2 @ X3))) )),
% 1.47/1.28 inference(constrained_superposition,[status(thm)],[f28,f31])).
% 1.47/1.28 thf(f31,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X3 : $i,X0 : ($i > $i) > ($i > $i) > $i > $i,X1 : $i > $i] : (((X0 @ X2 @ X1 @ X3) = (X0 @ X1 @ X2 @ X3))) )),
% 1.47/1.28 inference(argument_congruence,[status(thm)],[f25])).
% 1.47/1.28 thf(f25,plain,(
% 1.47/1.28 ( ! [X2 : $i > $i,X0 : ($i > $i) > ($i > $i) > $i > $i,X1 : $i > $i] : (((X0 @ X1 @ X2) = (X0 @ X2 @ X1))) )),
% 1.47/1.28 inference(cnf_transformation,[status(thm)],[f24])).
% 1.47/1.28 thf(f24,plain,(
% 1.47/1.28 (cU != cV) & ! [X0 : ($i > $i) > ($i > $i) > $i > $i,X1 : $i > $i,X2 : $i > $i] : ((X0 @ X1 @ X2) = (X0 @ X2 @ X1))),
% 1.47/1.28 inference(flattening,[status(thm)],[f23])).
% 1.47/1.28 thf(f23,plain,(
% 1.47/1.28 ! [X0 : ($i > $i) > ($i > $i) > $i > $i] : ! [X2 : $i > $i,X1 : $i > $i] : ((X0 @ X1 @ X2) = (X0 @ X2 @ X1)) & (cU != cV)),
% 1.47/1.28 inference(ennf_transformation,[status(thm)],[f5])).
% 1.47/1.28 thf(f5,plain,(
% 1.47/1.28 ~((cU != cV) => ? [X0 : ($i > $i) > ($i > $i) > $i > $i] : ~! [X2 : $i > $i,X1 : $i > $i] : ((X0 @ X1 @ X2) = (X0 @ X2 @ X1)))),
% 1.47/1.28 inference(fool_elimination,[status(thm)],[f4])).
% 1.47/1.28 thf(f4,plain,(
% 1.47/1.28 ~((cU != cV) => ? [X0 : ($i > $i) > ($i > $i) > $i > $i] : ~! [X1 : $i > $i,X2 : $i > $i] : ((X0 @ X1 @ X2) = (X0 @ X2 @ X1)))),
% 1.47/1.28 inference(rectify,[status(thm)],[f2])).
% 1.47/1.28 thf(f2,negated_conjecture,(
% 1.47/1.28 ~((cU != cV) => ? [X0 : ($i > $i) > ($i > $i) > $i > $i] : ~! [X2 : $i > $i,X1 : $i > $i] : ((X0 @ X1 @ X2) = (X0 @ X2 @ X1)))),
% 1.47/1.28 inference(negated_conjecture,[status(cth)],[f1])).
% 1.47/1.28 thf(f1,conjecture,(
% 1.47/1.29 (cU != cV) => ? [X0 : ($i > $i) > ($i > $i) > $i > $i] : ~! [X2 : $i > $i,X1 : $i > $i] : ((X0 @ X1 @ X2) = (X0 @ X2 @ X1))),
% 1.47/1.29 file('/export/starexec/sandbox2/tmp/tmp.IonTcmBj8x/DTF2THF_13517.p',cTHM24_pme)).
% 1.47/1.29 thf(f28,plain,(
% 1.47/1.29 ($true = (sP2 @ cV))),
% 1.47/1.29 inference(inequality_splitting,[status(thm)],[f26,f27])).
% 1.47/1.29 thf(f26,plain,(
% 1.47/1.29 (cU != cV)),
% 1.47/1.29 inference(cnf_transformation,[status(thm)],[f24])).
% 1.47/1.29 thf(f27,plain,(
% 1.47/1.29 ($false = (sP2 @ cU))),
% 1.47/1.29 introduced(definition,[new_symbols(naming,[sP2])],[inequality_splitting_name_introduction])).
% 1.47/1.29 % SZS output end Proof for DTF2THF_13517
% 1.47/1.29 % (13743)------------------------------
% 1.47/1.29 % (13743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (13743)Termination reason: Refutation
% 1.47/1.29
% 1.47/1.29 % (13743)Memory used [KB]: 5628
% 1.47/1.29 % (13743)Time elapsed: 0.015 s
% 1.47/1.29 % (13743)Instructions burned: 20 (million)
% 1.47/1.29 % (13743)------------------------------
% 1.47/1.29 % (13743)------------------------------
% 1.47/1.29 % (13719)Success in time 0.076 s
%------------------------------------------------------------------------------