%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : NUM684^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/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 09:24:15 AM UTC 2026
% Result : Theorem 1.48s 1.29s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 8 ~; 4 |; 0 &; 48 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
z: nat ).
thf(func_def_4,type,
pl: nat > nat > nat ).
thf(func_def_6,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f36,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f35]) ).
thf(f35,plain,
x != x,
inference(superposition,[status(thm)],[f11,f33]) ).
thf(f33,plain,
x = y,
inference(equality_resolution,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: nat] :
( ( ( pl @ x @ z )
!= ( pl @ X0 @ z ) )
| ( y = X0 ) ),
inference(superposition,[status(thm)],[f12,f16]) ).
thf(f16,plain,
( ( pl @ x @ z )
= ( pl @ y @ z ) ),
inference(forward_demodulation,[status(thm)],[f15,f13]) ).
thf(f13,plain,
! [X0: nat,X1: nat] :
( ( pl @ X0 @ X1 )
= ( pl @ X1 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
thf(f3,axiom,
! [X0: nat,X1: nat] :
( ( pl @ X0 @ X1 )
= ( pl @ X1 @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',satz6) ).
thf(f15,plain,
( ( pl @ z @ x )
= ( pl @ y @ z ) ),
inference(forward_demodulation,[status(thm)],[f14,f13]) ).
thf(f14,plain,
( ( pl @ z @ x )
= ( pl @ z @ y ) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
thf(f1,axiom,
( ( pl @ z @ x )
= ( pl @ z @ y ) ),
file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',i) ).
thf(f12,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( pl @ X0 @ X1 )
!= ( pl @ X2 @ X1 ) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( pl @ X0 @ X1 )
!= ( pl @ X2 @ X1 ) )
| ( X0 = X2 ) ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( pl @ X1 @ X0 )
!= ( pl @ X2 @ X0 ) )
| ( X1 = X2 ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
! [X1: nat,X0: nat,X2: nat] :
( ( ( pl @ X1 @ X0 )
= ( pl @ X2 @ X0 ) )
=> ( X1 = X2 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X2: nat,X0: nat,X1: nat] :
( ( ( pl @ X0 @ X2 )
= ( pl @ X1 @ X2 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',satz20b) ).
thf(f11,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
x != y,
inference(flattening,[status(thm)],[f5]) ).
thf(f5,negated_conjecture,
x != y,
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f4,conjecture,
x = y,
file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',satz20e) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM684^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 11:11:07 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.46 thf(spec,logic,$$dhol).
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % File : NUM684^1 : TPTP v9.2.1. Released v3.7.0.
% 0.20/0.46 % Domain : Number Theory
% 0.20/0.46 % Problem : Landau theorem 20e
% 0.20/0.46 % Version : Especial.
% 0.20/0.46 % English : x = y
% 0.20/0.46
% 0.20/0.46 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.20/0.46 % : [vBJ79] van Benthem Jutting (1979), Checking Landau's "Grundla
% 0.20/0.46 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.46 % Source : [Bro09]
% 0.20/0.46 % Names : satz20e [Lan30]
% 0.20/0.46
% 0.20/0.46 % Status : Theorem
% 0.20/0.46 % : Without extensionality : Theorem
% 0.20/0.46 % Rating : 0.00 v7.1.0, 0.12 v7.0.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0, 0.00 v3.7.0
% 0.20/0.46 % Syntax : Number of formulae : 9 ( 3 unt; 5 typ; 0 def)
% 0.20/0.46 % Number of atoms : 5 ( 5 equ; 0 cnn)
% 0.20/0.46 % Maximal formula atoms : 2 ( 1 avg)
% 0.20/0.46 % Number of connectives : 13 ( 0 ~; 0 |; 0 &; 12 @)
% 0.20/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.46 % Maximal formula depth : 5 ( 3 avg)
% 0.20/0.46 % Number of types : 1 ( 1 usr)
% 0.20/0.46 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.20/0.46 % Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% 0.20/0.46 % Number of variables : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% 0.20/0.46 % SPC : TH0_THM_EQU_NAR
% 0.20/0.46
% 0.20/0.46 % Comments :
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 thf(nat_type,type,
% 0.20/0.46 nat: $tType ).
% 0.20/0.46
% 0.20/0.46 thf(x,type,
% 0.20/0.46 x: nat ).
% 0.20/0.46
% 0.20/0.46 thf(y,type,
% 0.20/0.46 y: nat ).
% 0.20/0.46
% 0.20/0.46 thf(z,type,
% 0.20/0.46 z: nat ).
% 0.20/0.46
% 0.20/0.46 thf(pl,type,
% 0.20/0.46 pl: nat > nat > nat ).
% 0.20/0.46
% 0.20/0.46 thf(i,axiom,
% 0.20/0.46 ( ( pl @ z @ x )
% 0.20/0.46 = ( pl @ z @ y ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(satz20b,axiom,
% 0.20/0.46 ! [Xx: nat,Xy: nat,Xz: nat] :
% 0.20/0.46 ( ( ( pl @ Xx @ Xz )
% 0.20/0.46 = ( pl @ Xy @ Xz ) )
% 0.20/0.46 => ( Xx = Xy ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(satz6,axiom,
% 0.20/0.46 ! [Xx: nat,Xy: nat] :
% 0.20/0.46 ( ( pl @ Xx @ Xy )
% 0.20/0.46 = ( pl @ Xy @ Xx ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(satz20e,conjecture,
% 0.20/0.46 x = y ).
% 0.20/0.46
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 ------------------------
% 1.48/1.25 ---- Embedded in THF ---
% 1.48/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.25 %%% Generated on Tue Feb 24 11:11:08 EST 2026
% 1.48/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.25 %%% Logic specification used:
% 1.48/1.25 %%% thf(spec, logic, $$dhol).
% 1.48/1.25
% 1.48/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2DTF16035.p
% See solution above
% 1.48/1.25 ------------------------
% 1.48/1.26 ---- Cleaned THF ---
% 1.48/1.27 thf(nat_type,type,
% 1.48/1.27 nat: $tType ).
% 1.48/1.27
% 1.48/1.27 thf(x,type,
% 1.48/1.27 x: nat ).
% 1.48/1.27
% 1.48/1.27 thf(y,type,
% 1.48/1.27 y: nat ).
% 1.48/1.27
% 1.48/1.27 thf(z,type,
% 1.48/1.27 z: nat ).
% 1.48/1.27
% 1.48/1.27 thf(pl,type,
% 1.48/1.27 pl: nat > nat > nat ).
% 1.48/1.27
% 1.48/1.27 thf(i,axiom,
% 1.48/1.27 ( ( pl @ z @ x )
% 1.48/1.27 = ( pl @ z @ y ) ) ).
% 1.48/1.27
% 1.48/1.27 thf(satz20b,axiom,
% 1.48/1.27 ! [Xx: nat,Xy: nat,Xz: nat] :
% 1.48/1.27 ( ( ( pl @ Xx @ Xz )
% 1.48/1.27 = ( pl @ Xy @ Xz ) )
% 1.48/1.27 => ( Xx = Xy ) ) ).
% 1.48/1.27
% 1.48/1.27 thf(satz6,axiom,
% 1.48/1.27 ! [Xx: nat,Xy: nat] :
% 1.48/1.27 ( ( pl @ Xx @ Xy )
% 1.48/1.27 = ( pl @ Xy @ Xx ) ) ).
% 1.48/1.27
% 1.48/1.27 thf(satz20e,conjecture,
% 1.48/1.27 x = y ).
% 1.48/1.27 ------------------------
% 1.48/1.28 % (16366)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_16035 for (2999ds/2Mi)
% 1.48/1.28 % (16366)Instruction limit reached!
% 1.48/1.28 % (16366)------------------------------
% 1.48/1.28 % (16366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.28 % (16366)Termination reason: Unknown
% 1.48/1.28 % (16366)Termination phase: Saturation
% 1.48/1.28
% 1.48/1.28 % (16366)Memory used [KB]: 5500
% 1.48/1.28 % (16366)Time elapsed: 0.002 s
% 1.48/1.28 % (16366)Instructions burned: 2 (million)
% 1.48/1.28 % (16366)------------------------------
% 1.48/1.28 % (16366)------------------------------
% 1.48/1.28 % (16367)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_16035 for (2999ds/275Mi)
% 1.48/1.28 % (16367)Refutation not found, incomplete strategy
% 1.48/1.28 % (16367)------------------------------
% 1.48/1.28 % (16367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.28 % (16367)Termination reason: Refutation not found, incomplete strategy
% 1.48/1.28
% 1.48/1.28
% 1.48/1.28 % (16367)Memory used [KB]: 5373
% 1.48/1.28 % (16367)Time elapsed: 0.001 s
% 1.48/1.28 % (16367)Instructions burned: 1 (million)
% 1.48/1.28 % (16367)------------------------------
% 1.48/1.28 % (16367)------------------------------
% 1.48/1.29 % (16362)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_16035 for (2999ds/183Mi)
% 1.48/1.29 % (16363)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_16035 for (2999ds/4Mi)
% 1.48/1.29 % (16364)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_16035 for (2999ds/27Mi)
% 1.48/1.29 % (16365)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_16035 for (2999ds/2Mi)
% 1.48/1.29 % (16368)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_16035 for (2999ds/18Mi)
% 1.48/1.29 % (16365)Instruction limit reached!
% 1.48/1.29 % (16365)------------------------------
% 1.48/1.29 % (16365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.29 % (16365)Termination reason: Unknown
% 1.48/1.29 % (16365)Termination phase: Saturation
% 1.48/1.29
% 1.48/1.29 % (16365)Memory used [KB]: 5500
% 1.48/1.29 % (16365)Time elapsed: 0.004 s
% 1.48/1.29 % (16365)Instructions burned: 2 (million)
% 1.48/1.29 % (16365)------------------------------
% 1.48/1.29 % (16365)------------------------------
% 1.48/1.29 % (16369)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_16035 for (2999ds/3Mi)
% 1.48/1.29 % (16363)Instruction limit reached!
% 1.48/1.29 % (16363)------------------------------
% 1.48/1.29 % (16363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.29 % (16363)Termination reason: Unknown
% 1.48/1.29 % (16363)Termination phase: Saturation
% 1.48/1.29
% 1.48/1.29 % (16363)Memory used [KB]: 5500
% 1.48/1.29 % (16363)Time elapsed: 0.005 s
% 1.48/1.29 % (16363)Instructions burned: 4 (million)
% 1.48/1.29 % (16363)------------------------------
% 1.48/1.29 % (16363)------------------------------
% 1.48/1.29 % (16369)Instruction limit reached!
% 1.48/1.29 % (16369)------------------------------
% 1.48/1.29 % (16369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.29 % (16369)Termination reason: Unknown
% 1.48/1.29 % (16369)Termination phase: Saturation
% 1.48/1.29
% 1.48/1.29 % (16369)Memory used [KB]: 5500
% 1.48/1.29 % (16369)Time elapsed: 0.002 s
% 1.48/1.29 % (16369)Instructions burned: 3 (million)
% 1.48/1.29 % (16369)------------------------------
% 1.48/1.29 % (16369)------------------------------
% 1.48/1.29 % (16370)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_16035 for (2999ds/37Mi)
% 1.48/1.29 % (16364)First to succeed.
% 1.48/1.29 % (16368)Also succeeded, but the first one will report.
% 1.48/1.29 % (16364)Refutation found. Thanks to Tanya!
% 1.48/1.29 % SZS status Theorem for DTF2THF_16035
% 1.48/1.29 % SZS output start Proof for DTF2THF_16035
% 1.48/1.29 thf(type_def_5, type, nat: $tType).
% 1.48/1.29 thf(func_def_0, type, nat: $tType).
% 1.48/1.29 thf(func_def_1, type, x: nat).
% 1.48/1.29 thf(func_def_2, type, y: nat).
% 1.48/1.29 thf(func_def_3, type, z: nat).
% 1.48/1.29 thf(func_def_4, type, pl: nat > nat > nat).
% 1.48/1.29 thf(func_def_6, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.48/1.29 thf(f36,plain,(
% 1.48/1.29 $false),
% 1.48/1.29 inference(trivial_inequality_removal,[status(thm)],[f35])).
% 1.48/1.29 thf(f35,plain,(
% 1.48/1.29 (x != x)),
% 1.48/1.29 inference(superposition,[status(thm)],[f11,f33])).
% 1.48/1.29 thf(f33,plain,(
% 1.48/1.29 (x = y)),
% 1.48/1.29 inference(equality_resolution,[status(thm)],[f19])).
% 1.48/1.29 thf(f19,plain,(
% 1.48/1.29 ( ! [X0 : nat] : (((pl @ x @ z) != (pl @ X0 @ z)) | (y = X0)) )),
% 1.48/1.29 inference(superposition,[status(thm)],[f12,f16])).
% 1.48/1.29 thf(f16,plain,(
% 1.48/1.29 ((pl @ x @ z) = (pl @ y @ z))),
% 1.48/1.29 inference(forward_demodulation,[status(thm)],[f15,f13])).
% 1.48/1.29 thf(f13,plain,(
% 1.48/1.29 ( ! [X0 : nat,X1 : nat] : (((pl @ X0 @ X1) = (pl @ X1 @ X0))) )),
% 1.48/1.29 inference(cnf_transformation,[status(thm)],[f3])).
% 1.48/1.29 thf(f3,axiom,(
% 1.48/1.29 ! [X0 : nat,X1 : nat] : ((pl @ X0 @ X1) = (pl @ X1 @ X0))),
% 1.48/1.29 file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',satz6)).
% 1.48/1.29 thf(f15,plain,(
% 1.48/1.29 ((pl @ z @ x) = (pl @ y @ z))),
% 1.48/1.29 inference(forward_demodulation,[status(thm)],[f14,f13])).
% 1.48/1.29 thf(f14,plain,(
% 1.48/1.29 ((pl @ z @ x) = (pl @ z @ y))),
% 1.48/1.29 inference(cnf_transformation,[status(thm)],[f1])).
% 1.48/1.29 thf(f1,axiom,(
% 1.48/1.29 ((pl @ z @ x) = (pl @ z @ y))),
% 1.48/1.29 file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',i)).
% 1.48/1.29 thf(f12,plain,(
% 1.48/1.29 ( ! [X2 : nat,X0 : nat,X1 : nat] : (((pl @ X0 @ X1) != (pl @ X2 @ X1)) | (X0 = X2)) )),
% 1.48/1.29 inference(cnf_transformation,[status(thm)],[f10])).
% 1.48/1.29 thf(f10,plain,(
% 1.48/1.29 ! [X0 : nat,X1 : nat,X2 : nat] : (((pl @ X0 @ X1) != (pl @ X2 @ X1)) | (X0 = X2))),
% 1.48/1.29 inference(rectify,[status(thm)],[f9])).
% 1.48/1.29 thf(f9,plain,(
% 1.48/1.29 ! [X2 : nat,X0 : nat,X1 : nat] : (((pl @ X1 @ X0) != (pl @ X2 @ X0)) | (X1 = X2))),
% 1.48/1.29 inference(ennf_transformation,[status(thm)],[f7])).
% 1.48/1.29 thf(f7,plain,(
% 1.48/1.29 ! [X1 : nat,X0 : nat,X2 : nat] : (((pl @ X1 @ X0) = (pl @ X2 @ X0)) => (X1 = X2))),
% 1.48/1.29 inference(rectify,[status(thm)],[f2])).
% 1.48/1.29 thf(f2,axiom,(
% 1.48/1.29 ! [X2 : nat,X0 : nat,X1 : nat] : (((pl @ X0 @ X2) = (pl @ X1 @ X2)) => (X0 = X1))),
% 1.48/1.29 file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',satz20b)).
% 1.48/1.29 thf(f11,plain,(
% 1.48/1.29 (x != y)),
% 1.48/1.29 inference(cnf_transformation,[status(thm)],[f8])).
% 1.48/1.29 thf(f8,plain,(
% 1.48/1.29 (x != y)),
% 1.48/1.29 inference(flattening,[status(thm)],[f5])).
% 1.48/1.29 thf(f5,negated_conjecture,(
% 1.48/1.29 ~(x = y)),
% 1.48/1.29 inference(negated_conjecture,[status(cth)],[f4])).
% 1.48/1.29 thf(f4,conjecture,(
% 1.48/1.29 (x = y)),
% 1.48/1.29 file('/export/starexec/sandbox/tmp/tmp.IsoDDNvSmT/DTF2THF_16035.p',satz20e)).
% 1.48/1.29 % SZS output end Proof for DTF2THF_16035
% 1.48/1.29 % (16364)------------------------------
% 1.48/1.29 % (16364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.29 % (16364)Termination reason: Refutation
% 1.48/1.29
% 1.48/1.29 % (16364)Memory used [KB]: 5500
% 1.48/1.29 % (16364)Time elapsed: 0.006 s
% 1.48/1.29 % (16364)Instructions burned: 6 (million)
% 1.48/1.29 % (16364)------------------------------
% 1.48/1.29 % (16364)------------------------------
% 1.48/1.29 % (16361)Success in time 0.021 s
%------------------------------------------------------------------------------